# Stored data for newform 3525.2.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "3525.2.a.a", "space_label": "3525.2.a", "level": 3525, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33557957, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 117640567229576329, "analytic_rank": 2, "is_twist_minimal": false, "hecke_cutters": [[2, [2, 1]], [7, [4, 1]], [11, [0, 1]]], "qexp_display": "q-2q^{2}-q^{3}+2q^{4}+2q^{6}-4q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14100, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 28.147266712501334, "hecke_ring_index": 1, "level_radical": 705, "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": [3525, 1, [2351, 1552, 2026], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 47], "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": "0.976", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.944", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.911", "prec": 17}], "related_objects": ["EllipticCurve/Q/3525/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1], [47, 1]], "trace_display": [-2, -1, 0, -4], "traces": [0, 1, -2, -1, 2, 0, 2, -4, 0, 1, 0, 0, -2, -5, 8, 0, -4, -6, -2, -2, 0, 4, 0, -1, 0, 0, 10, -1, -8, -6, 0, -8, 8, 0, 12, 0, 2, -2, 4, 5, 0, -2, -8, 5, 0, 0, 2, -1, 4, 9, 0, 6, -10, -12, 2, 0, 0, 2, 12, -3, 0, -1, 16, -4, -8, 0, 0, -8, -12, 1, 0, 1, 0, 13, 4, 0, -4, 0, -10, -1, 0, 1, 4, -12, 8, 0, -10, 6, 0, -15, 0, 20, -2, 8, 2, 0, -8, 8, -18, 0, 0, 13, -12, -16, 0, 0, 24, -9, -2, -8, 0, 2, 16, -15, -4, 0, -12, -5, 6, 24, 0, -11, 2, 2, -16, 0, 8, 8, 0, -5, 0, 15, 0, 8, 16, 0, 0, -3, -2, 0, 0, 1, -2, 0, -4, 0, -26, -9, -4, -23, 0, 4, 0, -6, 0, 0, 10, 20, 2, 12, 0, 4, -2, 19, -4, 0, 24, -19, 0, 12, 0, -2, 10, -2, -12, 0, 0, 3, 30, 0, 0, -8, -40, 1, 0, 0, -16, 0, -2, 4, 0, -9, 8, -10, -16, 0, 18, 12, 0, -16, 0, 8, -26, 24, 12, 0, 32, -1, 20, 0, 0, -18, -24, -1, 18, 0, 0, 32, 16, -13, 0, 30, -4, -7, -32, 0, 30, 20, 4, -10, 0, 0, 0, -26, 10, 0, -6, 1, -48, 0, 0, 7, 22, -1, -2, 0, -4, 10, 0, 12, 0, -12, -8, 0, -16, 0, 16, 23, 10, 8, 0, -6, -30, 24, 0, 0, -16, 15, -16, -17, 0, 16, 24, -20, 6, 0, 2, 6, 0, -8, 0, -6, -2, 8, 2, 0, 0, 8, 8, 19, 0, -8, 26, 17, 18, 0, 0, 0, 46, 5, 0, -20, -8, -13, 8, 0, 12, 26, 0, 16, 0, -6, 0, 26, -40, 0, -2, -31, -24, 0, 0, 9, -8, 12, 2, 0, -38, 8, 0, 4, 0, 3, -24, -2, 38, 0, -16, 2, -24, 15, 0, 0, 4, -8, 0, 0, 4, -18, 12, 8, 0, 5, 0, -16, -6, 0, -30, -24, 0, 10, 0, -15, 16, 11, 40, 0, -2, 0, 4, -2, 0, 48, 16, -33, 0, 0, 0, 30, -8, 36, 0, -8, 18, 10, 0, 0, 20, 5, 16, 12, 0, 6, 0, -15, -24, 0, 0, -8, 32, -8, 0, -13, -16, 40, 26, 0, -48, 0, 0, 0, 0, 3, -32, 12, 2, 0, -40, 0, 0, 24, 0, 4, 36, -1, 0, 0, 2, 4, -18, 0, 0, 0, 4, 14, -64, 0, -16, 2, 26, 35, 0, 9, -60, 20, 4, 0, 14, 23, 32, 22, 0, 0, -30, -4, -40, 0, 0, 24, 20, 6, 0, 10, 0, 19, 24, 0, 52, 35, -10, 32, 0, -20, 0, 0, -2, 0, 48, -12, 0, 27, 0, 10, -14, -4, -22, 0, 2, -42, 0, -19, 0, 0, 4, 36, -20, 0, 32, -4, -24, 32, 0, 19, 24, 44, 0, 0, 0, -12, 16, -44, 0, -52, -32, 2, -46, 0, -10, 0, -16, 2, 0, 11, 12, -22, 30, 0, -48, 48, 0, -22, 0, -3, 16, 10, -30, 0, 0, 0, 34, 0, 0, -25, -32, 8, -48, 0, 40, 20, -6, -1, 0, 12, 0, 4, -12, 0, 0, -33, 16, -25, 0, 0, 12, -15, 2, 0, -16, -4, 0, -16, 0, -33, 0, 9, -16, 0, -8, -11, -38, 10, 0, 48, 16, 0, 0, 0, -34, -27, -18, 16, 0, -12, 8, 18, 0, 0, -46, 16, -10, -10, 0, -35, 40, -8, 8, 0, 26, -1, -16, -24, 0, 5, -12, -42, -52, 0, 0, -8, -32, -1, 0, 1, 12, 60, -20, 0, -52, 0, 40, 12, 0, 10, 0, 18, 62, 0, 24, -45, 0, 1, 0, -36, -18, -44, 8, 0, -24, -30, 0, 0, 0, -32, 38, -30, -16, 0, 8, 13, -8, -43, 0, -31, -6, -30, 0, 0, 4, 6, -38, 7, 0, 0, 32, -41, -4, 0, 24, 3, -30, -32, 0, -20, 0, -22, -4, 0, 16, 10, -20, 60, 0, 18, -4, 0, 36, 0, 0, 12, -16, 26, 0, 30, -10, 4, 0, 0, 32, -52, 6, -47, 0, -1, 0, 8, 48, 0, 0, 0, -20, 12, 0, 64, 30, -7, -16, 0, -22, 5, 0, 1, 0, -30, 2, 52, 0, 0, -8, 0, 4, 41, 0, -10, -96, -40, 0, 0, 66, -12, 0, 36, 0, -24, 4, 12, -60, 0, 8, -6, -72, 0, 0, -13, 16, 32, -18, 0, -20, 15, -16, 31, 0, -23, -20, -20, -10, 0, 0, -8, -24, 4, 0, 0, -12, 6, -36, 0, 30, 19, 24, -24, 0, 60, 0, 5, 16, 0, -32, -30, 16, 6, 0, -15, 26, 0, 16, 0, -80, 17, 0, -22, 0, 40, 48, -16, 0, 0, -24, -10, 0, 20, 0, -48, -6, 28, 0, 0, -24, 54, -2, 2, 0, -6, 40, -54, 0, 0, 0, 8, -48, -6, 0, 7, -8, 6, -36, 0, 2, 44, 48, -8, 0, 2, -2, -50, -8, 0, 0, 11, 0, -40, 0, -8, 0, -26, -8, 0, -28, -19, 64, 0, 0, 40, 0, 8, -4, 0, -26, -18, -70, -17, 0, -6, -18, -26, 60, 0, -40, -13, 0, -32, 0, 0, -14, 2, -46, 0, 0, -5, -44, 48, 0, 72, 0, 20, 0, 0, 8, 2, 40, 13, 0, 12, -8, 0, -48, 0, -20, -60, -12, -32, 0, -26, -20, -5, 0, 0, -38, -16, -48, -25, 0, -18, -52, 6, -70, 0, 0, -39, -64, -26, 0, 10, 40, 2, 12, 0, 0, -40, 2, -65, 0, 31, 0, 29, 24, 0, 0, 0, -54, 12, 0, 33, -20, -9, 14, 0, 8, 22, 0, -12, 0, 32, -2, 0, 84, 0, 4, 8, 38, 0, 0, -8, 0, 15, 0, 0, -72, -4, 20, -5, 0, -3, -64, -3, 8, 0, 24, -2, -64, 2, 0, 0, -38, 18, -24, 0, -88, 24, 16, 54, 0, -2, 0, 3, 24, 0, 0, -15, 88, 36, 0, 34, 104, 0, 32, 0, -4, 5, 46, 8, 0, -6, 0, 10, 0, 0, 16, 6, -4, -42, 0, 18, -22, 92, -12, 0, 44, -8, 0, 10, 0, 3, 48, -5, -96, 0, 0, -16, 44, 16, 0, -38, 6, 49, 0, 0, -20, 0, 30, 46, 0, 24, 32, 12, 0, 0, -34, -10, 0, 60, 0, 1, 50, 15, 32, 0, -16, 46, 48, -11, 0, -14, -40, 6, -40, 0, 0, -38, 2, -80, 0, 0, -24, -59, -4, 0, -8, 2, 12, 50, 0, 0, 0, -48, 66, 0, -16, 6, 50, 33, 0, 6, 0, -16, -12, 0, 30, -9, 0, -29, 0, -30, 16, 0, 8, 0, -4, -36, 32, 48, 0, -76, 66, 8, 0, 0, -18, 16, 16, -10, 0, -8, 0, -42, 22, 0, 38, 75, -20, 2, 0, -5, -96, -21, -16, 0, 0, -12, -52, 76, 0, -38, 34, -6, 54, 0, 0, 0, -32, 15, 0, 15, 24, -48, -16, 0, -36, -16, 0, 12, 0, 8, 0, -14, -32, 0, 10, 8, 20, 0, 0, -22, 70, 13, -40, 0, 16, -6, 0, -40, 0, 8, -26, 63, 2, 0, 16, 6, 48, 12, 0, 0, -10, -36, 0, 0, 84, 0, 52, -2, 0, 33, 0, -3, 16, 0, 32, -43, 2, -12, 0, -78, -2, 0, -12, 0, -120, -30, 40, 25, 0, 0, 52, 0, 0, 0, 0, -24, -24, 4, 0, -40, -20, -4, 4, 0, -36, 32, -62, 1, 0, 16, 0, 16, 90, 0, 0, -6, -2, 22, 0, -4, 72, -28, 18, 0, 88, 0, 0, -48, 0, -4, 24, 0, 60, 0, -4, -4, 0, -14, 0, 26, 64, -34, 0, 0, 60, -53, 16, 0, 0, -2, -16, -65, -26, 0, 8, -35, 86, -1, 0, 52, 62, -9, 6, 0, 60, 48, 48, -20, 0, 0, -4, -40, -12, 0, 0, 36, -14, 80, 0, -23, 0, 6, -32, 0, 82, -22, 4, -2, 0, 40, 0, 0, -6, 0, 30, 3, 64, 4, 0, 4, 40, 6, 0, 0, 44, 18, 0, -33, 0, -24, -16, 3, -20, 0, 40, -6, -120, -48, 0, -10, -36, -10, 0, 0, 0, -26, -36, -19, 0, 45, -24, 64, -24, 0, 16, 0, -52, 25, 0, -35, -60, 1, 10, 0, -8, -32, 0, -24, 0, 72, -32, 20, 104, 0, 0, 40, 94, 0, 0, -54, 2, -33, 60, 0, -16, -18, -48, -68, 0, 12, 0, -21, 0, 0, 20, -27, -24, -30, 0, 0, -128, -10, -30, 0, 14, -4, 0, 4, 0, 42, 22, -23, -10, 0, -80, 8, -2, 19, 0, 42, 60, 0, 0, 0, -104, 19, 0, 75, 0, -37, 8, 0, 0, 0, -4, 72, -82, -36, 0, 9, 20, 9, 96, 0, 80, -3, -32, -69, 0, 4, -66, -28, 24, 0, 0, -32, -72, 45, 0, 2, 48, -19, -8, 0, -24, 0, 60, -44, 0, -35, 0, 90, 12, 0, 72, 4, 0, -72, 0, 12, 26, 21, -16, 0, -64, 44, 0, 0, 0, -44, 20, 52, -30, 0, 32, 72, -62, -2, 0, 8, 46, -5, 0, 0, 40, -120, 10, 58, 0, 0, -32, 12, 16, 0, 24, -2, -8, -39, 0, 28, 0, -11, 12, 0, -12, -2, 72, 22, 0, -18, -30, 55, -38, 0, 0, 24, 48, -29, 0, -48, -120, -34, 0, 0, -10, 22, -16, -80, 0, -10, 0, 3, 60, 0, -16, 46, -12, -10, 0, -5, 30, 40, -26, 0, 0, -44, 0, 42, 0, 0, 80, -27, -34, 0, -52, 0, 44, -21, 0, -12, -80, 25, 0, 0, 32, -33, 0, -8, 0, 104, 48, -1, 20, 0, 0, -9, -40, 0, 0, -20, 96, 96, 6, 0, -56, 1, 64, -48, 0, -40, 24, -12, -108, 0, 0, 12, -4, -4, 0, 0, 12, -32, 0, 0, 108, 64, 0, 46, 0, 33, 0, 0, -16, 0, 48, 25, 12, -13, 0, -37, -14, 0, 8, 0, -12, -28, 0, 15, 0, 30, -2, 38, -88, 0, -96, -18, 16, 71, 0, 4, -4, -75, 0, 0, 100, 16, 8, 1, 0, 18, 36, 33, -22, 0, 0, -78, 80, -9, 0, 40, 16, -21, 0, 0, 52, 0, 8, -40, 0, 11, 28, -59, 38, 0, 0, -10, 0, 2, 0, -65, -80, -48, 32, 0, -16, 2, 4, 0, 0, 96, 0, -16, 36, 0, 70, 48, 34, 10, 0, 27, 12, -10, 18, 0, 52, -16, 0, 6, 0, 0, 40, 12, 26, 0, -8, 37, 64, -18, 0, 15, 0, -73, 0, 0, -4, 0, 46, -7, 0, -16, -64, 0, 10, 0, 44, 10, -96, -92, 0, 48, -144, 35, 0, 0, -40, 0, 60, 8, 0, 59, -8, -18, -4, 0, 0, 1, -26, 54, 0, 1, -24, -30, 16, 0, 0, 24, 48, 24, 0, 38, 0, -5, 120, 0, 12, 0, 64, 42, 0, -96, 52, -16, 20, 0, 10, -12, 0, -18, 0, 8, 38, 48, 32, 0, 48, 1, 50, 0, 0, -5, 36, -1, 0, 0, -12, -56, 70, -60, 0, -30, 20, 19, 78, 0, 64, 6, 52, -76, 0, 0, -20, 68, -40, 0, -4, -12, -24, 23, 0, 8, 0, -10, 80, 0, 0, -64, 130, -18, 0, -30, -62, 0, -96, 0, -58, 60, -24, 12, 0, 45, 0, 61, 0, 0, 54, -1, -24, -26, 0, 90, -66, 36, 20, 0, 18, 2, 0, 44, 0, 39, -8, 46, -44, 0, 44, 115, 24, -24, 0, 30, -64, 48, 0, 0, 0, 0, -84, 40, 0, 61, -8, 32, -16, 0, -38, 32, 0, 30, 0, 24, 16, -20, 0, 0, -30, 24, -8, 0, 0, -13, 72, -11, 8, 0, 0, 43, 10, 22, 0, -32, 6, 31, 64, 0, 6, -79, -8, 30, 0, 0, 0, 46, 4, 0, 64, -3, -4, 56, 0, -6, 0, -41, 38, 0, -36, -7, 0, -18, 0, -41, 88, 0, -48, 0, -32, -61, -108, 41, 0, -5, 4, -76, 0, 0, -6, -18, -24, 54, 0, -3, -32, 18, 30, 0, -88, 32, -72, -51, 0, -100, -68, 20, -104, 0, 0, 15, 0, 22, 0, -68, 4, 0, -10, 0, 0, 66, -16, -6, 0, -10, 12, -24, 20, 0, -20, -60, 0, 89, 0, 16, 0, -18, -12, 0, 4, 64, 84, 0, 0, -48, -36, 59, 22, 0, -184, -9, 0, -3, 0, -12, -44, -20, 16, 0, -60, -26, -20, 24, 0, 0, -6, -30, 0, 0, 10, 45, 96, -4, 0, -46, 0, 29, 32, 0, -44, -78, -32, -95, 0, 52, 76, 0, -6, 0, -98, 47, -32, 9, 0, 92, 20, 1, 0, 0, 0, -87, -92, -8, 0, -40, -48, 34, -64, 0, -24, 30, 0, -104, 0, 0, 0, -71, 20, 0, 0, -12, -120, -48, 0, -44, -2, -64, -50, 0, -30, 0, 0, 7, 0, 95, 16, 24, -92, 0, 0, 24, 22, 56, 0, -5, 28, 6, 0, 0, -12, -1, 40, 0, 0, -104, 12, 30, 76, 0, -2, 5, 160, -52, 0, -8, 0, -69, 24, 0, 118, -87, 8, 1, 0, 0, 8, -8, -4, 0, 0, -41, -100, 124, 0, -25, 0, 10, 0, 0, 96, -90, -66, 40, 0, -8, 0, 0, -12, 0, -50, -72, -66, -86, 0, 12, -12, -84, 0, 0, 32, -36, 0, 10, 0, 71, -30, 24, 18, 0, -4, 2, 58, -12, 0, -48, 60, -104, 0, 0, 0, 3, -8, 78, 0, 6, 8, 92, 72, 0, -32, 0, -96, -60, 0, 63, 152, 13, -66, 0, -16, -7, 0, -32, 0, 6, 18, 44, -32, 0, 0, -18, 20, 22, 0, -15, 16, -9, 16, 0, 84, -31, -22, -26, 0, -88, 0, 23, -150, 0, 20, -12, -4, 20, 0, 0, 10, -13, 96, 0, 42, 0, 0, 18, 0, 8, 0, 47, 24, 0, 104, -4, -152, -1, 0, -2, 76, 0, 0, 0, 12, 37, -54, -6, 0, 40, 36, 40, 0, 0, 32, -66, -30, -8, 0, -19, -30, 0, -24, 0, 96, 24, 16, 16, 0, -20, 36, -60, 32, 0, 0, 48, -24, -5, 0, 60, -16, -52, 92, 0, 28, 0, 32, -58, 0, 30, 0, -38, -16, 0, -20, -6, 0, -35, 0, -31, 44, 15, -70, 0, -26, 72, 0, 0, 0, -53, -16, -16, 12, 0, -16, -1, 80, 6, 0, -17, -16, 40, 0, 0, -126, 22, -2, 72, 0, 0, 0, -40, -12, 0, -48, 29, -24, 16, 0, -96, 0, -32, 10, 0, 72, 6, 24, 8, 0, 10, -84, 0, 0, 0, 0, -20, 4, -2, 0, 9, -66, 48, 0, 0, 6, -20, -16, -28, 0, 64, 0, 53, 86, 0, -2, 55, 24, 16, 0, -54, 156, 45, 2, 0, 0, -2, 0, -30, 0, 12, 120, 6, 60, 0, -40, 0, -50, 54, 0, 2, 0, 2, 0, 0, 0, 8, 0, 50, 0, -8, -80, -40, 48, 0, 24, 6, -8, 0, 0, -50, 80, -7, 20, 0, 8, 60, -8, -6, 0, 32, 36, 138, -64, 0, 0, -15, -2, 36, 0, -44, -32, 39, -48, 0, -32, 8, -90, -20, 0, -24, 0, -2, 12, 0, 2, -66, -44, 50, 0, -60, 8, 0, -72, 0, 56, -24, 0, 0, 0, -11, -88, 96, 0, 0, -16, 40, 96, 10, 0, 90, 8, 8, 0, 0, 0, 80, -60, 26, 0, -5, 8, -70, 8, 0, 0, -108, 28, 15, 0, 19, -52, 6, -64, 0, 68, 0, -76, -51, 0, 132, -60, -40, 106, 0, 0, -38, 0, -8, 0, 78, 4, -5, 16, 0, 130, -2, 26, 0, 0, 18, 0, -30, 70, 0, -86, 17, 2, -120, 0, 0, -104, 6, -62, 0, 18, -23, 0, 26, 0, 0, -60, -144, -96, 0, -96, 80, 40, -43, 0, 13, 0, -51, 0, 0, 80, 32, 12, -120, 0, 16, 76, 0, -72, 0, 14, -69, -160, -2, 0, -40, 46, 6, 0, 0, -12, -26, 0, 16, 0, 5, -82, 74, 44, 0, 0, -48, 4, 36, 0, -26, -80, -72, -48, 0, 0, -58, 6, -20, 0, -3, 0, -16, -6, 0, -64, 0, -8, -60, 0, -2, -8, -48, -40, 0, -12, -13, 0, 39, 0, -58, -44, -12, -36, 0, 8, -24, 66, 0, 0, 72, 48, 90, 0, 0, -6, 16, 20, -16, 0, 60, -40, -50, 12, 0, 120, 32, 96, 120, 0, 0, 20, 26, 36, 0, 20, -67, 8, 5, 0, -114, 0, 3, 52, 0, 0, -70, 38, 32, 0, 16, -90, 11, 48, 0, -128, 25, 24, -70, 0, 16, 0, 18, 0, 0, 52, -6, -50, -6, 0, -23, 70, -100, 60, 0, -2, 52, 0, 91, 0, 39, 8, -48, 64, 0, 0, 26, 48, -72, 0, -160, -144, -10, 0, 0, -40, 0, -104, -2, 0, 46, -12, 6, -80, 0, -94, -56, 0, 114, 0, 40, 108, -28, -2, 0, 66, 65, -120, 0, 0, 50, 16, -31, 36, 0, 0, 74, 136, -29, 0, 58, -24, 0, 0, 0, 42, 1, 0, -8, 0, 0, 0, -72, 54, 0, 24, -12, 60, 21, 0, -40, 0, -33, 128, 0, 20, -107, 0, 9, 0, -27, -14, 0, 8, 0, 32, 37, -8, 35, 0, -22, -84, 56, 0, 0, 46, 12, 10, -7, 0, -2, 160, -32, -16, 0, 2, 34, -38, 0, 0, -8, -84, 2, -60, 0, 0, 16, -4, -78, 0, -8, 104, -96, -38, 0, 0, 0, -150, -64, 0, 12, 74, 8, 0, 0, 0, -16, 0, -15, 0, -100, 0, 7, -144, 0, 82, 18, 72, 0, 0, 4, -18, 14, -20, 0, -18, 5, 0, -15, 0, 46, -80, 3, 6, 0, 64, 50, 138, 3, 0, 0, -8, -40, 0, 0, 56, 96, -24, -9, 0, 2, 0, -26, 64, 0, 72, -2, -90, -54, 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": "705.2.c.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], [-2], [-1], [2], [0], [2], [-4], [0], [1], [0], [0], [-2], [-5], [8], [0], [-4], [-6], [-2], [-2], [0], [4], [0], [-1], [0], [0], [10], [-1], [-8], [-6], [0], [-8], [8], [0], [12], [0], [2], [-2], [4], [5], [0], [-2], [-8], [5], [0], [0], [2], [-1], [4], [9], [0], [6], [-10], [-12], [2], [0], [0], [2], [12], [-3], [0], [-1], [16], [-4], [-8], [0], [0], [-8], [-12], [1], [0], [1], [0], [13], [4], [0], [-4], [0], [-10], [-1], [0], [1], [4], [-12], [8], [0], [-10], [6], [0], [-15], [0], [20], [-2], [8], [2], [0], [-8], [8], [-18], [0], [0]]}