# Stored data for newform 9802.2.a.d, downloaded from the LMFDB on 19 April 2024.
{"label": "9802.2.a.d", "space_label": "9802.2.a", "level": 9802, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915675722, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 602964467847431792, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [3, 1]], [5, [-3, 1]], [7, [-2, 1]]], "qexp_display": "q+q^{2}-3q^{3}+q^{4}+3q^{5}-3q^{6}+2q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 39208, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 78.26936406125903, "hecke_ring_index": 1, "level_radical": 754, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [9802, 1, [5917, 8789], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 13, 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": "0.990", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.009", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.160", "prec": 17}], "related_objects": ["EllipticCurve/Q/9802/d"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [13, 1], [29, 1]], "trace_display": [1, -3, 3, 2], "traces": [0, 1, 1, -3, 1, 3, -3, 2, 1, 6, 3, 1, -3, 0, 2, -9, 1, -4, 6, 8, 3, -6, 1, 0, -3, 4, 0, -9, 2, -1, -9, -3, 1, -3, -4, 6, 6, 8, 8, 0, 3, 2, -6, 7, 1, 18, 0, -11, -3, -3, 4, 12, 0, 1, -9, 3, 2, -24, -1, 4, -9, 4, -3, 12, 1, 0, -3, 4, -4, 0, 6, 2, 6, 12, 8, -12, 8, 2, 0, -7, 3, 9, 2, 0, -6, -12, 7, 3, 1, 6, 18, 0, 0, 9, -11, 24, -3, 6, -3, 6, 4, 8, 12, -6, 0, -18, 1, -2, -9, -1, 3, -24, 2, 18, -24, 0, -1, 0, 4, -8, -9, -10, 4, -6, -3, -3, 12, -8, 1, -21, 0, 12, -3, 16, 4, -27, -4, 20, 0, 0, 6, 33, 2, 0, 6, -3, 12, 9, 8, -3, -12, -10, 8, -24, 2, -9, 0, 22, -7, -3, 3, 0, 9, -19, 2, -9, 0, 22, -6, 0, -12, 48, 7, -14, 3, 8, 1, -12, 6, -14, 18, -13, 0, -12, 0, 24, 9, -4, -11, -18, 24, 0, -3, -10, 6, 0, -3, -2, 6, -2, 4, -12, 8, -2, 12, 6, -6, 0, 0, 8, -18, -25, 1, -6, -2, 21, -9, -6, -1, -36, 3, 0, -24, -26, 2, 24, 18, 18, -24, -14, 0, -6, -1, -25, 0, -33, 4, 21, -8, -20, -9, -17, -10, 0, 4, -9, -6, 0, -3, 0, -3, -7, 12, 0, -8, 36, 1, 21, -21, 16, 0, -6, 12, -17, -3, 3, 16, -18, 4, 20, -27, -13, -4, 0, 20, 4, 0, 14, 0, -18, 6, 13, 33, 0, 2, -72, 0, 4, 6, -1, -3, -18, 12, 34, 9, 12, 8, -9, -3, 0, -12, 14, -10, -24, 8, 12, -24, 29, 2, 18, -9, 0, 0, 25, 22, 36, -7, 0, -3, -1, 3, 6, 0, -32, 9, 0, -19, 3, 2, -22, -9, -3, 0, 48, 22, 12, -6, 4, 0, -54, -12, -3, 48, -20, 7, 0, -14, 18, 3, 19, 8, 0, 1, 2, -12, 6, 6, 24, -14, -9, 18, 45, -13, 30, 0, 36, -12, -16, 0, 12, 24, 2, 9, -1, -4, 9, -11, 0, -18, 28, 24, 24, 0, 34, -3, 6, -10, 42, 6, 16, 0, 0, -3, -36, -2, -21, 6, -19, -2, -48, 4, 5, -12, 0, 8, 27, -2, 8, 12, -22, 6, -60, -6, 8, 0, 0, 0, 0, 8, -14, -18, 28, -25, -66, 1, -16, -6, 8, -2, 0, 21, 20, -9, -16, -6, 9, -1, 0, -36, -8, 3, -18, 0, 12, -24, 18, -26, 9, 2, -22, 24, 2, 18, 30, 18, 0, -24, 10, -14, 36, 0, 30, -6, 16, -1, 27, -25, 23, 0, 8, -33, -66, 4, 7, 21, 32, -8, 6, -20, 11, -9, 0, -17, 0, -10, 18, 0, -2, 4, 57, -9, 5, -6, 4, 0, 18, -3, 4, 0, 8, -3, -66, -7, -19, 12, 24, 0, 0, -8, -21, 36, 24, 1, -72, 21, -18, -21, -11, 16, 42, 0, 27, -6, 16, 12, -24, -17, 12, -3, -23, 3, 24, 16, 0, -18, -6, 4, 42, 20, -3, -27, 8, -13, 39, -4, -3, 0, -2, 20, 24, 4, -8, 0, -14, 14, -72, 0, 18, -18, 0, 6, 12, 13, -9, 33, 54, 0, 18, 2, -30, -72, -36, 0, 0, 4, 0, 6, 44, -1, 30, -3, 0, -18, 1, 12, 0, 34, 0, 9, -24, 12, 6, 8, 17, -9, -24, -3, 6, 0, 13, -12, -10, 14, 24, -10, -30, -24, 29, 8, 6, 12, 0, -24, 27, 29, -18, 2, -12, 18, -31, -9, 0, 0, 12, 0, -29, 25, -24, 22, -32, 36, -22, -7, 75, 0, -24, -3, 0, -1, 12, 3, 36, 6, -2, 0, -63, -32, -20, 9, 4, 0, 18, -19, -14, 3, 36, 2, 72, -22, 21, -9, -46, -3, 0, 0, 48, 48, 0, 22, 78, 12, 4, -6, 1, 4, -36, 0, -18, -54, 12, -12, -54, -3, 16, 48, 60, -20, 42, 7, 0, 0, -4, -14, 12, 18, 0, 3, -8, 19, 75, 8, 31, 0, 64, 1, 99, 2, 16, -12, -35, 6, -42, 6, 0, 24, 0, -14, 60, -9, -6, 18, -12, 45, 51, -13, -4, 30, 32, 0, -27, 36, -28, -12, 48, -16, 27, 0, 4, 12, -1, 24, 0, 2, 28, 9, -9, -1, 0, -4, -4, 9, 32, -11, 21, 0, -30, -18, -28, 28, 0, 24, -34, 24, -2, 0, -72, 34, 0, -3, -48, 6, -63, -10, 6, 42, -12, 6, -48, 16, 16, 0, 2, 0, 9, -3, 66, -36, -46, -2, 51, -21, 36, 6, 0, -19, -9, -2, 12, -48, 44, 4, 36, 5, 12, -12, 0, 0, -60, 8, 24, 27, -6, -2, 39, 8, -57, 12, 56, -22, 0, 6, 37, -60, -16, -6, -12, 8, -23, 0, -28, 0, -42, 0, 12, 0, 66, 8, 27, -14, 45, -18, 1, 28, -39, -25, 0, -66, -20, 1, 0, -16, 0, -6, -30, 8, 144, -2, -11, 0, -51, 21, -12, 20, -6, -9, -42, -16, 3, -6, -7, 9, 0, -1, 36, 0, -6, -36, 23, -8, -102, 3, 42, -18, -42, 0, -36, 12, -1, -24, -16, 18, 9, -26, -88, 9, -42, 2, 0, -22, 3, 24, -4, 2, -42, 18, -39, 30, -28, 18, 48, 0, -3, -24, 0, 10, -36, -14, 24, 36, -6, 0, -87, 30, 0, -6, 32, 16, -36, -1, -18, 27, -24, -25, 0, 23, -12, 0, 14, 8, -75, -33, 15, -66, 0, 4, -54, 7, -51, 21, 0, 32, 0, -8, 15, 6, 0, -20, 3, 11, 40, -9, -22, 0, -12, -17, -30, 0, -59, -10, 96, 18, -52, 0, 0, -2, 0, 4, -37, 57, 6, -9, -6, 5, -39, -6, -6, 4, 66, 0, 0, 18, 26, -3, 9, 4, -6, 0, 16, 8, -72, -3, 0, -66, -16, -7, -36, -19, 8, 12, 15, 24, -12, 0, -20, 0, -6, -8, 108, -21, 10, 36, 47, 24, 9, 1, 8, -72, 0, 21, 60, -18, 30, -21, 26, -11, 0, 16, -16, 42, 4, 0, -54, 27, -6, -6, 24, 16, -57, 12, 6, -24, 16, -17, 0, 12, -75, -3, -20, -23, -6, 3, -24, 24, 9, 16, -18, 0, 6, -18, 18, -6, -48, 4, -8, 42, 28, 20, 27, -3, 0, -27, 0, 8, -135, -13, -18, 39, 3, -4, -60, -3, 15, 0, 34, -2, -108, 20, -33, 24, 44, 4, 48, -8, 0, 0, 0, -14, -18, 14, 39, -72, 8, 0, -6, 18, -78, -18, 32, 0, 3, 6, 32, 12, 52, 13, -18, -9, 0, 33, -20, 54, 0, 0, -6, 18, 54, 2, -84, -30, -16, -72, -38, -36, -48, 0, -42, 0, -24, 4, -102, 0, 50, 6, 13, 44, -18, -1, 0, 30, 32, -3, -63, 0, -9, -18, -75, 1, -48, 12, 44, 0, 31, 34, 0, 0, -44, 9, -2, -24, 72, 12, -32, 6, 0, 8, 63, 17, -12, -9, -2, -24, 57, -3, -62, 6, -60, 0, 96, 13, -1, -12, -8, -10, -15, 14, -51, 24, -8, -10, 0, -30, -28, -24, -14, 29, 0, 8, -9, 6, 0, 12, -24, 0, -52, -24, -12, 27, 66, 29, 66, -18, 8, 2, 120, -12, 0, 18, 14, -31, -24, -9, -48, 0, 18, 0, 0, 12, -7, 0, 2, -29, 0, 25, -28, -24, -21, 22, 42, -32, -20, 36, 0, -22, -84, -7, 0, 75, -26, 0, 99, -24, -6, -3, 32, 0, 48, -1, 39, 12, 11, 3, -24, 36, -18, 6, 63, -2, 0, 0, -3, -63, -67, -32, -60, -20, 48, 9, -22, 4, 48, 0, -22, 18, 17, -19, -18, -14, 1, 3, -8, 36, 0, 2, 0, 72, -51, -22, 24, 21, 24, -9, -53, -46, 27, -3, 4, 0, 40, 0, -36, 48, -21, 48, -21, 0, -54, 22, 0, 78, 0, 12, -18, 4, 28, -6, 60, 1, 66, 4, 16, -36, -20, 0, -6, -18, -39, -54, 0, 12, -60, -12, -60, -54, 11, -3, 0, 16, 32, 48, 27, 60, -30, -20, -58, 42, -3, 7, -36, 0, -4, 0, -52, -4, -90, -14, 42, 12, 96, 18, -48, 0, 0, 3, -4, -8, -54, 19, -8, 75, 58, 8, -69, 31, 0, 0, 39, 64, -24, 1, 66, 99, 0, 2, 132, 16, 0, -12, 0, -35, -21, 6, 3, -42, 27, 6, -96, 0, -56, 24, -6, 0, -9, -14, 48, 60, 12, -9, -33, -6, 56, 18, 12, -12, 0, 45, -3, 51, -37, -13, 0, -4, -30, 30, -16, 32, -54, 0, 33, -27, -56, 36, 6, -28, 16, -12, 102, 48, -114, -16, 0, 27, -28, 0, -15, 4, 16, 12, -50, -1, -12, 24, -48, 0, 58, 2, -27, 28, 48, 9, 28, -9, -12, -1, -6, 0, 0, -4, -24, -4, -58, 9, -56, 32, 132, -11, 42, 21, 20, 0, 57, -30, -45, -18, -24, -28, -72, 28, 16, 0, 9, 24, 0, -34, -17, 24, 16, -2, 63, 0, 0, -72, -34, 34, -72, 0, 87, -3, -1, -48, 72, 6, 0, -63, 74, -10, 54, 6, 0, 42, 4, -12, 33, 6, 30, -48, 0, 16, -84, 16, -6, 0, -52, 2, -81, 0, 75, 9, 8, -3, -48, 66, -40, -36, 0, -46, 48, -2, 0, 51, -46, -21, -36, 36, 33, 6, 0, 0, 69, -19, 36, -9, 56, -2, -36, 12, -3, -48, 8, 44, 0, 4, -15, 36, -28, 5, 18, 12, -9, -12, 24, 0, -84, 0, -14, -60, -96, 8, 9, 24, 12, 27, -54, -6, -24, -2, 0, 39, 3, 8, -78, -57, -50, 12, 0, 56, 9, -22, 14, 0, -3, 6, 6, 37, -3, -60, -66, -16, -36, -6, -24, -12, 0, 8, 24, -23, -9, 0, 39, -28, 42, 0, -10, -42, -80, 0, 144, 12, -1, 0, 14, 66, -54, 8, -40, 27, 16, -14, 0, 45, 0, -18, -37, 1, -24, 28, 12, -39, -34, -25, 27, 0, 48, -66, -24, -20, -162, 1, 12, 0, -45, -16, 0, 0, 0, -6, -9, -30, 90, 8, -24, 144, -4, -2, 108, -11, -60, 0, -32, -51, 0, 21, 56, -12, -4, 20, 0, -6, 22, -9, 0, -42, -132, -16, -39, 3, 54, -6, -60, -7, -88, 9, 21, 0, 0, -1, 57, 36, -54, 0, -3, -6, 24, -36, -5, 23, 0, -8, -14, -102, 40, 3, 0, 42, 14, -18, 6, -42, 72, 0, -4, -36, 0, 12, -12, -1, 8, -24, 8, -16, -51, 18, 0, 9, -23, -26, 72, -88, 12, 9, -35, -42, -12, 2, -19, 0, -27, -22, -39, 3, 42, 24, 20, -4, 30, 2, 135, -42, 0, 18, -36, -39, 40, 30, -24, -28, 90, 18, 0, 48, 8, 0, -87, -3, -30, -24, 48, 0, -12, 10, -12, -36, -30, -14, 0, 24, -48, 36, 22, -6, -81, 0, -34, -87, 48, 30, 36, 0, 16, -6, 6, 32, 36, 16, 4, -36, 6, -1, 93, -18, 0, 27, 38, -24, 0, -25, -3, 0, -52, 23, -36, -12, 36, 0, 32, 14, 87, 8, -58, -75, 46, -33, 48, 15, 40, -66, 0, 0, 96, 4, 9, -54, -12, 7, 66, -51, 84, 21, -26, 0, -150, 32, -73, 0, -14, -8, 72, 15, -24, 6, 0, 0, 0, -20, -77, 3, 102, 11, -18, 40, 64, -9, -72, -22, -108, 0, 8, -12, -22, -17, 6, -30, 47, 0, -22, -59, 126, -10, 0, 96, 28, 18, 60, -52, -4, 0, 48, 0, -12, -2, -13, 0, 63, 4, -36, -37, 0, 57, -48, 6, 42, -9, 8, -6, 0, 5, -108, -39, 26, -6, -14, -6, -108, 4, 81, 66, -28, 0, -63, 0, 34, 18, 0, 26, 138, -3, -57, 9, -20, 4, 0, -6, -13, 0, -8, 16, -144, 8, -38, -72, -40, -3, 0, 0, -1, -66, 15, -16, -156, -7, -6, -36, -28, -19, -12, 8, 0, 12, -33, 15, -3, 24, -77, -12, -2, 0, 36, -20, 63, 0, 31, -6, 54, -8, -16, 108, 24, -21, -36, 10, -34, 36, 0, 47, 108, 24, -66, 9, 0, 1, -48, 8, 68, -72, -41, 0, -180, 21, 40, 60, -2, -18, -84, 30, 44, -21, 24, 26, 0, -11, 30, 0, -8, 16, 12, -16, 0, 42, -12, 4, -18, 0, -78, -54, 8, 27, 0, -6, -90, -6, 11, 24, 24, 16, 0, -57, -42, 12, -150, 6, -52, -24, 0, 16, -93, -17, 84, 0, -21, 12, -192, -75, 54, -3, -25, -20, -198, -23, -12, -6, 0, 3, -48, -24, -10, 24, 12, 9, 105, 16, -12, -18, -11, 0, 63, 6, 24, -18, -9, 18, 0, -6, 62, -48, 43, 4, 0, -8, 144, 42, 58, 28, -120, 20, -3, 27, 60, -3, 18, 0, 32, -27, -38, 0, 36, 8, -48, -135, -2, -13, -102, -18, 0, 39, 2, 3, 12, -4, 0, -60, 74, -3, -96, 15, 32, 0, 0, 34, 81, -2, -2, -108, 50, 20, 84, -33, -24, 24, 0, 44, -144, 4, -6, 48, 4, -8, -54, 0, 13, 0, 74, 0, -12, -14, 9, -18, 36, 14, 3, 39, 0, -72, -84, 8, 0, 0, 24, -6, -48, 18, -84, -78, 0, -18, -2, 32, 27, 0, 43, 3, 36, 6, 0, 32, -44, 12, -66, 52, 12, 13, 0, -18, 43, -9, -96, 0, 6, 33, 32, -20, -42, 54, -64, 0, -36, 0, 90, -6, 16, 18, -62, 54, 84, 2, 38, -84, 0, -30, 0, -16, 7, -72, -18, -38, 102, -36, 30, -48, -44, 0, 6, -42, 7, 0, -64, -24, 108, 4, -14, -102, -80, 0, 0, 50, 33, 6, 90, 13, 144, 44, 20, -18, 32, -1, 126, 0, 48, 30, -6, 32, -18, -3, -25, -63, 0, 0, 36, -9, 0, -18, -80, -75, 96, 1, -18, -48, 69, 12, -48, 44, 19, 0, -60, 31, -6, 34, 24, 0, -52, 0, -9, -44, -77, 9, 0, -2, -198, -24, -86, 72, 8, 12, 138, -32, 0, 6, 21, 0, -102, 8, 0, 63, 52, 17, -108, -12, -24, -9, -46, -2, 0, -24, 90, 57, 64, -3, 18, -62, -6, 6, -28, -60, -36, 0, -68, 96, 33, 13, -132, -1, 9, -12, -19, -8, -54, -10, 0, -15, 0, 14, -36, -51, -66, 24, -64, -8, 0, -10, -44, 0, 8, -30, 120, -28, -34, -24, 24, -14, -72, 29, 36, 0, 0, 8, 18, -9, -6, 6, 61, 0, -78, 12, -63, -24, 38, 0, 171, -52, -27, -24, 21, -12, -168, 27, -26, 66, 15, 29, 0, 66, 42, -18, 0, 8, -111, 2, 12, 120, -77, -12, 48, 0, 4, 18, 10, 14, 24, -31, 72, -24, 32, -9, 69, -48, 0, 0, 12, 18, 84, 0, 96, 0, -11, 12, 84, -7, 24, 0, 18, 2, -36, -29, 8, 0, -14, 25, -198, -28, 0, -24, 0, -21, -27, 22, -18, 42, -57, -32, -135, -20, -14, 36, 26, 0, -3, -22, 32, -84, 90, -7, 78, 0, -93, 75, 12, -26, 0, 0, 28, 99, -6, -24, 60, -6, -78, -3, -63, 32, 0, 0, 30, 48, -68, -1, 0, 39, 72, 12, -71, 11, 90, 3, 0, -24, -25, 36, -216, -18, 40, 6, -32, 63, 33, -2, 0, 0, -24, 0, 153, -3, 76, -63, -6, -67, 24, -32, -33, -60, 0, -20, 18, 48, 21, 9, 40, -22, 126, 4, -3, 48, 0, 0, -6, -22, 160, 18, 81, 17, 21, -19, -41, -18, -2, -14, 0, 1, 48, 3, -3, -8, -54, 36, -40, 0, 28, 2, 18, 0, 16, 72, -20, -51, -69, -22, -9, 24, 36, 21, 204, 24, 0, -9, 0, -53, -126, -46, -69, 27, -71, -3, 126, 4, -17, 0, 56, 40, 72, 0, 60, -36, 38, 48, 3, -21, 42, 48, 0, -21, 48, 0, -88, -54, -56, 22, 0, 0, -8, 78, 71, 0, 264, 12, 68, -18, -55, 4, 126, 28, -92, -6, -70, 60, 0, 1, -1, 66, -9, 4, -9, 16, -37, -36, 96, -20, 12, 0, 24, -6, -3, -18, 84, -39, 17, -54, 69, 0, 117, 12, 0, -60, 36, -12, 84, -60, 32, -54, -4, 11, -72, -3, -12, 0, -58, 16, 9, 32, -6, 48, 0, 27, 0, 60, -30, -30, 0, -20, 72, -58, 8, 42, -14, -3, -72, 7, 18, -36, -24, 0, 18, -4, -18, 0, -7, -52, 174, -4, -42, -90, -68, -14, 0, 42, 76, 12, -44, 96, -96, 18, 27, -48, -38, 0, 54, 0, 0, 3, 54, -4, 54, -8, -75, -54, -20, 19, 72, -8, 0, 75, -73, 58, 0, 8, 0, -69, 81, 31, 36, 0, 10, 0, -52, 39, -42, 64, -6, -24, -27, 1, 150, 66, -60, 99, 0, 0, -45, 2, 72, 132, 21, 16, 0, 0, -24, -12, -98, 0, 54, -35, 81, -21, -88, 6, 153, 3, -14, -42, -90, 27, 0, 6, 16, -96, 40, 0, 0, -56, -108, 24, 18, -6, -45, 0, -90, -9, -44, -14, 0, 48, -44, 60, -80, 12, -6, -9, 0, -33, 0, -6, -120, 56, -13, 18, 28, 12, 66, -12, 132, 0, 98, 45, 18, -3, -12, 51, -17, -37, 90, -13, 52, 0, 0, -4, 177, -30, 41, 30, 0, -16, -192, 32, -94, -54, 4, 0, 156, 33, 3, -27, 22, -56, 0, 36, 0, 6, -56, -28, 0, 16, -73, -12, -8, 102, 111, 48, -28, -114, 0, -16, -18, 0, 57, 27, 56, -28, 9, 0, -72, -15, 56, 4, 117, 16, 0, 12, 65, -50, 18, -1, -45, -12, 20, 24, -132, -48, 4, 0, 51, 58, 0, 2, 32, -27, 108, 28, -78, 48, -32, 9, 0, 28, -18, -9, -13, -12, 176, -1, 18, -6, 6, 0, -12, 0, -48, -4, 24, -24, 39, -4, 72, -58, -79, 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": "58.2.a.a", "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], [-3], [1], [3], [-3], [2], [1], [6], [3], [1], [-3], [0], [2], [-9], [1], [-4], [6], [8], [3], [-6], [1], [0], [-3], [4], [0], [-9], [2], [-1], [-9], [-3], [1], [-3], [-4], [6], [6], [8], [8], [0], [3], [2], [-6], [7], [1], [18], [0], [-11], [-3], [-3], [4], [12], [0], [1], [-9], [3], [2], [-24], [-1], [4], [-9], [4], [-3], [12], [1], [0], [-3], [4], [-4], [0], [6], [2], [6], [12], [8], [-12], [8], [2], [0], [-7], [3], [9], [2], [0], [-6], [-12], [7], [3], [1], [6], [18], [0], [0], [9], [-11], [24], [-3], [6], [-3], [6], [4]]}