# Stored data for newform 2541.2.a.b, downloaded from the LMFDB on 20 April 2024.
{"label": "2541.2.a.b", "space_label": "2541.2.a", "level": 2541, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660927469, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1178686722786450803, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [2, 1]], [5, [-1, 1]], [13, [-6, 1]]], "qexp_display": "q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}-q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10164, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 20.289987153607346, "hecke_ring_index": 1, "level_radical": 231, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [2541, 1, [848, 1816, 2059], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.960", "prec": 17}, {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "1.897", "prec": 17}, {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "4.748", "prec": 17}], "related_objects": ["EllipticCurve/Q/2541/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], [11, -1]], "trace_display": [-2, -1, 1, -1], "traces": [0, 1, -2, -1, 2, 1, 2, -1, 0, 1, -2, 0, -2, 6, 2, -1, -4, 7, -2, 8, 2, 1, 0, 6, 0, -4, -12, -1, -2, -4, 2, 2, 8, 0, -14, -1, 2, -6, -16, -6, 0, 2, -2, 1, 0, 1, -12, 13, 4, 1, 8, -7, 12, 0, 2, 0, 0, -8, 8, 1, -2, 10, -4, -1, -8, 6, 0, -3, 14, -6, 2, -6, 0, -14, 12, 4, 16, 0, 12, -4, -4, 1, -4, 5, 2, 7, -2, 4, 0, 3, -2, -6, 12, -2, -26, 8, -8, -4, -2, 0, -8, -3, 14, -6, 0, 1, 0, -6, -2, -19, 0, 6, 4, -18, 16, 6, -8, 6, -2, -7, 0, 0, -20, -2, 4, -9, 2, -11, 0, -1, -12, 17, 0, -8, 6, -1, 0, 12, 12, 2, -2, -13, 12, 0, -4, -4, 28, -1, -12, 16, -8, 19, 0, 7, 0, 2, -12, -8, 8, 0, 8, -6, -2, -12, 4, 0, -10, 17, 0, 23, -14, 8, 2, 13, -8, 4, 0, -1, -6, 12, 2, 8, 12, -10, 0, -6, 4, 0, 26, 1, -16, 0, 8, -23, 8, -6, 2, -10, 0, -2, 0, 3, 6, 4, -14, 2, 12, 6, -24, 0, -2, 15, 0, 6, 12, 1, 0, -2, 38, 14, 0, 42, -12, 0, -8, -4, 36, 3, -16, -20, -12, 0, 0, -8, -12, 13, 2, 4, 14, 18, 4, -8, 0, -1, 20, 1, 4, 48, 0, -5, 18, 12, -2, 0, 22, -7, 16, 3, 2, 6, 12, -4, -34, -6, 0, 0, 16, -3, -6, 2, 2, 20, -28, 6, -24, 0, -12, 23, -4, 2, 0, -28, 26, -20, -12, -8, 0, -2, 8, 32, 8, 4, -28, -11, 2, 1, 0, 0, -32, 36, 8, -1, -38, 3, -32, 10, -14, -8, 0, 6, -4, -13, 0, 24, 16, -1, -8, 6, 0, 0, -8, 6, 12, 56, 2, -24, 24, 19, 0, -13, 0, 19, 10, -6, -34, -3, -4, 10, -46, 18, 14, 0, -16, -1, 0, -6, -26, 20, 8, -26, -8, -6, 0, 14, 2, -6, 6, 7, -24, 18, 0, 45, -16, 0, -12, -14, 20, -20, -24, 2, 12, 0, -4, 5, 0, 9, 0, -24, -2, -5, 16, 11, 0, 23, 0, 0, 46, 1, -8, -36, 12, 42, 0, -17, 20, -4, 0, -10, 4, 8, 16, -8, -6, 12, -6, 1, -8, 0, 0, 32, -4, -12, -12, -1, -12, 5, 48, -2, 0, -9, 2, -15, -30, 13, 0, -28, -12, -10, -12, 0, -2, -12, 4, 0, 4, 4, -38, 48, -28, 10, 0, 1, -84, -18, 12, 3, 0, -16, 8, -26, 8, 0, -36, -19, -6, -6, 0, -29, 40, -7, 12, 37, 0, 16, 16, -2, 16, -12, 12, 3, -26, 8, 0, 0, -8, -32, -14, 0, -36, -39, -8, -36, 16, 6, 0, -4, 2, -19, 0, 12, -2, -26, -4, -28, -96, 0, -8, 6, 10, 11, -18, -17, -24, 15, 0, -3, 0, -23, -22, 21, 14, 14, -32, -8, -6, -6, -2, 0, -12, -13, 0, 5, 8, 28, 34, -4, 12, 14, 0, 13, 0, 1, -16, 12, 6, -6, 0, -12, -4, 0, -2, 7, -40, -8, 56, -19, -12, -12, 24, 10, 0, -32, 0, 4, -46, 6, 4, -6, -4, 6, 4, 0, 56, -39, -26, -18, 40, -1, 0, 28, 16, 20, 0, 0, 4, -24, -8, 10, -64, 23, -8, -5, -8, 0, 0, 6, 22, -21, -2, 16, -2, 10, 24, 23, 0, -7, 32, 2, -72, -38, 0, 38, 2, -3, 38, 0, -6, 6, 64, -4, -20, 78, 14, -5, 16, -2, 0, -6, -12, -10, 4, -6, 26, -3, 24, 11, -48, 0, -16, -42, 2, 31, 0, -15, -12, -11, 0, 6, 0, -6, 0, -12, -12, 28, -12, -1, -112, -25, 0, 0, 48, 2, -24, 12, -38, 17, -8, -14, 26, 36, 0, 32, -38, -42, 0, -8, 12, -24, 34, 0, 6, 0, 8, -33, -20, 4, 46, -27, -36, 4, 0, -3, 0, -18, 16, 12, 2, 20, -4, 0, 12, -20, 26, 0, -40, 2, 0, 14, 52, 8, 8, -48, 12, -48, 0, -13, -28, 3, -2, -49, 12, -4, 0, 12, -14, 0, 24, -18, -36, -52, -4, 6, -90, 8, 16, 16, 0, -28, 0, 1, 28, 7, -20, -6, 40, -1, 48, 0, -4, 20, -12, -48, 0, -30, 0, 16, -10, 5, 0, 6, -18, -13, -52, -12, 48, 19, 2, 23, 10, 0, 0, 17, -22, 19, 0, 7, -46, 6, -16, 40, 0, -3, -46, -21, -2, -8, 0, -6, 72, 16, -12, 0, -84, 4, -4, -8, 34, -42, -20, 6, 8, 18, 0, 60, 20, 0, -4, 15, -16, 91, -32, 3, 16, 0, 6, -6, -24, -2, 0, 26, -2, -32, 8, -20, 0, -12, 28, 8, -64, -6, 4, -6, 24, -4, 0, 0, 2, 50, 12, 34, -10, -23, -48, 7, 4, 17, 0, -2, 18, 39, 0, -13, 30, 28, 30, 23, -26, 0, 0, 20, 56, -36, 12, -32, 20, 8, 0, 5, 0, 10, 2, 2, 24, -34, -8, 13, 0, -32, -4, 0, -8, -18, 0, -4, -96, 9, 28, -2, -20, 11, 0, 18, -2, 27, 84, -1, 36, 53, 0, 11, -6, 0, 0, 104, 32, 12, 0, -36, 52, -8, -8, 0, 0, 1, 0, 8, 38, -44, 6, -3, 12, -14, 32, 0, 58, -10, -40, -17, 14, -24, 0, 8, -74, -36, 0, 24, -32, -6, -32, -9, 4, 8, -16, 13, 24, 0, 0, 4, -6, -24, 26, 10, -16, 12, -4, 1, 0, -30, 8, -84, 64, -6, 0, 22, 0, 0, 36, 0, 78, -12, 8, -27, 72, -6, -16, -23, -12, 1, 0, -56, 8, -15, -2, -2, 38, 24, -40, -42, -24, 0, 2, -19, 52, 56, 0, -10, 56, 13, 96, 6, 0, -20, 16, -19, -12, -2, -10, -10, -22, 6, 0, 0, 34, 7, 24, 3, -30, 0, 4, -26, 6, -10, 0, -14, 46, 4, 0, -18, -42, -20, -14, -22, -28, 0, 32, -8, 16, -24, 6, 1, 12, -12, 0, -62, 0, 6, 12, 70, 26, 32, -24, -20, -10, -16, -8, 0, -56, 26, 0, 41, 8, 47, -12, 6, -28, 15, 0, -19, -26, -14, 0, 8, -2, -14, 0, 6, -24, 0, -6, 0, 12, -7, 12, 24, 24, -4, 4, -18, 0, 30, 0, 78, -14, -45, 40, -2, 16, 37, -56, 0, 38, -56, 12, -1, 24, 14, 0, 38, -20, 8, 0, 20, 64, 10, 24, 42, -8, -2, 46, 2, -12, 0, 0, 0, 12, 0, 4, 47, -12, -5, -8, 8, 0, 26, -56, -9, 78, 6, 0, -51, 36, 24, -40, 0, 2, 3, 24, 5, -56, -21, -16, 12, -40, -11, 0, -20, 0, -12, -4, -23, 48, 35, 0, -2, -20, 0, 64, 18, -46, 80, 0, -1, 10, 54, 8, -8, 0, 36, 56, -17, -12, -17, -22, -42, 42, -52, 0, 0, -32, 17, 2, 42, -20, -23, -48, 4, -46, -34, 0, -8, 14, 10, 0, 5, -4, 18, 72, -8, 76, 0, -16, 14, -76, 8, -2, -8, 6, -42, 0, -12, 0, -13, 6, -1, -12, -1, -64, -2, 8, 0, 20, 0, -156, 8, 0, -4, 10, -32, -16, 40, 4, 40, 0, 12, 12, 48, 12, -42, 20, 1, 0, -98, 12, 0, -26, -5, 6, -4, -48, -10, -22, 2, 48, -12, 0, 12, 0, 9, 84, -21, -2, -24, -62, 15, 16, 0, 30, -8, 12, -13, 22, 4, 0, -24, -12, 28, 0, 10, 12, 0, 16, 10, 24, 20, 12, 3, -56, 0, 0, 32, 2, -18, 112, 12, 50, 6, -4, -33, 0, 0, -48, 54, -4, 32, 0, -4, -24, 1, 38, 0, -34, -48, 16, -18, 28, -6, -26, -10, -72, 21, 0, 34, -64, -1, 38, 0, 84, 53, -20, 18, 16, 0, -12, 2, 48, -3, 0, 0, 0, -36, -6, 16, 0, -28, -8, 2, 66, 26, 20, -48, -8, 23, 0, 0, 54, 20, 36, 6, -8, 19, -28, -53, 6, -52, 0, 6, 36, 4, 0, -1, -24, 29, -2, -22, -40, 0, 8, 7, 0, 10, -12, 5, 40, -37, 0, 23, 0, -112, 40, -16, -4, -36, -16, 2, -28, 2, -52, 0, -16, -50, 0, 12, 96, 60, -12, -28, 96, -3, 0, 22, 26, 35, 28, -8, -6, -20, 0, -114, 98, 0, -12, -4, 8, 43, -12, 32, -24, 47, 14, -70, 0, 0, 0, -34, 36, -2, 36, 39, 104, -12, 8, 0, -12, 36, 90, 32, -16, -54, 0, -6, -32, 62, 0, 59, 56, 4, 24, 26, -2, 28, -28, 19, -14, 0, 0, -11, 12, -12, -40, -108, 2, -15, -48, 26, 0, -4, 4, -15, -40, 28, 0, 48, 96, 52, 0, 0, 60, -39, 8, -68, -32, -6, 10, 6, -10, 36, 0, -11, -12, 20, 18, -32, 26, 17, 104, -1, 24, 0, -48, -15, -38, 57, 0, 21, -46, 3, -10, -12, 0, 2, -32, 23, -34, 56, 22, -40, -38, -21, 0, 0, -14, 70, 46, -14, -12, -8, 32, 0, -80, 8, 0, -18, 6, 6, 0, 6, 42, -42, 2, 2, 16, 0, 16, -78, 12, -13, -72, 13, -32, 1, 0, 0, 0, -5, 84, 24, -8, -30, 8, -28, 16, 72, -34, 0, 84, 4, 0, 40, -12, -29, -8, -14, -36, -40, 0, 6, -120, -13, -20, -3, 0, -6, 0, -1, -30, 0, 16, 51, -182, -12, 32, 15, -6, 20, -16, 6, 0, -38, 0, -30, 12, 12, 24, 30, 4, 56, 12, 0, -52, 10, 2, -29, 64, -7, 0, -54, 40, 0, 0, 8, 24, 8, -56, -36, -16, 19, 64, -45, 12, 0, 0, 12, 12, 0, -24, -13, 8, -10, 24, -28, 0, -66, -2, 32, -100, 19, 0, 24, -68, -4, 10, 0, 46, -7, 0, -6, -14, 0, -4, 24, -34, 6, 0, -18, 4, 12, -18, -6, -78, -84, -4, -37, 26, 0, -30, 10, -56, 8, 0, 39, -46, 24, 26, 30, 0, 18, 0, 66, -40, -28, -56, 1, 72, 102, 0, 0, 64, -28, -20, -36, -16, -4, 24, -20, -10, -1, 0, -21, -20, 0, 0, -19, -4, 63, -24, 24, 68, 0, 8, -48, -26, -10, 0, -44, 64, 20, 0, -23, 0, -78, 8, 30, 36, 5, 76, -26, 8, 40, 96, 0, -18, -42, 0, -56, 4, -6, 20, -12, -22, 29, 0, 21, -36, 2, 2, 14, -54, -16, 0, -40, 2, 0, -36, -10, -106, 24, -24, -4, -22, -23, 6, 72, 0, -14, 0, 7, -208, -46, -32, -15, -24, -2, -16, 0, 72, 18, -52, 38, 16, -3, 0, 18, 0, -38, 0, 45, -2, 12, 72, 3, -16, -41, -38, -6, 88, 0, 0, -24, 6, -42, -12, -6, 28, -32, -64, 56, 0, 4, -58, 2, 20, -83, 0, -78, 34, -20, -14, 0, 48, 5, -24, 6, -16, -32, 74, 2, 72, 12, 0, -42, -48, 6, 32, -133, 12, 0, 32, 10, 18, 0, -4, 68, -16, 6, 0, 5, -26, 62, -24, 3, 0, 40, -24, 37, -8, -11, 6, -2, 48, -12, 0, 0, -20, -2, 16, -24, -24, 42, 8, 5, -2, 20, 0, -31, 60, -5, 0, -20, 168, 15, -64, 60, 12, 0, 28, 11, -44, 28, 0, 30, 0, -6, 0, -50, 0, 23, -78, 6, 24, -24, 0, -126, 54, 12, -72, 0, 12, 26, 0, -28, 46, 63, 12, -19, -2, 1, 0, 96, 112, -23, -8, 25, 30, 12, 0, -36, 4, 0, -38, 45, -48, -14, 80, -2, 84, 42, 24, -48, 0, -12, 0, 0, 38, 114, -52, -17, -112, 28, 8, 0, 20, 14, -56, -63, -26, 16, 0, -36, -12, -36, 0, 20, 40, -32, -16, -10, 38, -32, 12, 42, 4, 0, 0, 4, 20, 8, 22, -36, -12, 77, 36, 24, 0, -16, -34, -8, -14, 0, 0, 2, -6, -20, 30, 0, 0, 12, -8, -13, 52, 33, -6, 13, 20, -32, 0, -4, 28, 6, -46, -72, -8, 27, 44, -48, 36, 0, 42, -4, 40, -84, 0, -48, 44, 3, 28, 32, 0, 18, 0, 18, 16, 11, -16, 29, 48, -12, 0, 0, -2, 24, -12, -20, 24, 27, 4, -1, 124, 0, 0, 34, -12, -152, 0, 20, -140, -20, -26, -6, -64, 0, 48, -90, 40, -68, 10, -2, 32, -48, 0, -88, 0, -14, 56, -36, -52, -9, -68, -8, -82, 60, -8, 0, -94, 48, 0, -15, -12, 1, 28, 48, -30, -26, 0, -34, 38, 13, 26, 56, 28, -72, 0, -3, -16, 0, 2, -63, 28, 49, 32, 78, -12, -2, 24, 4, 0, -10, 0, -39, 0, -12, -12, -50, 14, 27, -24, 0, -48, -144, -24, 8, 8, 18, 0, 24, 36, -12, 0, 52, -60, -77, 4, 52, -156, -6, 14, 0, 90, 0, 0, -8, 4, 102, -16, 0, -74, -16, 0, 13, 0, -43, -38, 28, 112, -6, 0, 48, 2, -1, -24, 0, -28, -24, -48, -7, -76, 10, 20, 60, -16, 6, 0, -12, -40, 64, -64, 1, -20, -58, -48, 122, -84, 0, 8, 46, 4, -18, 0, -20, -4, -6, 12, -54, 0, 48, -8, -12, 0, 119, -12, 30, 0, -24, 0, 0, -94, -16, 12, -2, 10, -28, 8, -5, -16, -12, 0, -26, -52, -6, 0, 78, 18, 28, -78, 13, -12, 0, 52, -60, 102, 12, -36, -56, -48, -28, 0, -19, 0, -19, -2, 70, -6, -23, -48, 9, -10, 24, 56, 0, 42, 0, 0, 38, -24, -17, 40, -29, 22, 0, 0, -19, 40, 16, 0, 39, 24, -7, 0, -78, 46, 0, -48, -6, -70, 13, 16, 37, 4, -40, 20, 15, 0, 7, 0, 3, -36, 16, 46, -19, -160, 21, 16, 0, 2, -18, -10, 8, -108, 72, 0, 84, 16, 6, 0, 8, -72, -12, -112, -16, 34, -22, 12, 4, 34, 0, 0, 3, 84, 39, -42, -4, 104, 52, 4, 48, 0, 8, 32, -57, -34, -10, 0, 42, -84, 14, 20, 0, 46, -6, 48, -36, -8, 16, 46, -18, 68, -72, 0, -27, 16, -60, -14, 62, -20, -46, -64, 0, -10, 0, 4, 6, -36, -15, 0, -9, 16, -39, -76, -91, 0, -43, 32, 1, -28, -3, 76, -36, -16, -20, 0, 0, 16, -15, -6, -88, 84, 6, -76, -68, 24, 2, 0, 2, 26, -78, 0, 16, 2, -26, 12, -20, 2, 0, 0, 32, 4, -19, -8, 6, 0, 20, 0, 10, 0, 26, 156, 12, -16, -30, -28, -8, 8, -8, -10, 0, 64, -26, 0, 6, -80, 22, -4, -36, -80, 6, 0, -28, -24, -38, -12, 4, -96, -14, 0, 73, 84, 0, -20, -18, -2, 18, -8, -50, 196, 0, -12, 6, 0, -34, 0, 136, 10, 0, -6, 23, 8, 11, 48, 0, 20, -7, 22, 20, -4, 51, 0, -17, 24, -114, 0, -138, -24, 2, 32, -18, -18, 15, -84, -39, 42, 0, 0, 2, 48, 13, 62, 12, -30, -45, -32, -28, 0, 88, -30, 112, 16, -23, 0, 1, 26, -54, -22, 0, -8, 48, 0, 21, 48, -20, 12, -4, -56, -14, 0, 36, -20, 14, -12, 73, 0, 32, -32, -60, -20, 0, -24, -8, -40, 133, 0, 20, -6, -5, 56, 10, 0, 24, 24, -10, -64, 9, -2, -12, 36, -2, 0, 0, -24, -12, -50, 34, -12, 30, 8, -88, 66, -13, 0, 0, 0, -108, 0, 32, -108, 96, 4, 5, -64, 0, 48, -57, 8, -5, 24, 18, -2, 28, 0, -78, 0, 4, 34, 62, 96, 10, -16, -9, 36, 36, -28, 0, 12, 2, 0, -6, 20, 14, 72, -11, -42, 24, 0, 16, -68, -18, 64, 13, 2, -81, 0, -27, 0, 0, -84, 5, -106, 1, 40, 54, -36, -6, -16, -53, 0, -21, 0, 12, -4, -11, -48, -56, 6, -73, -68, 0, 0, 24, 0, 38, 72, -104, 0, -23, -32, -59, 0, -12, 56, 88, 0, 54, -4, 36, -66, 21, -52, 0, 0, 8, 96, -14, 8, 84, -46, 0, -92, 7, 0, -84, -54, -1, -40, -90, 0, 6, -12, -8, 8, 0, -38, 14, 56, 44, 106, 36, -6, 76, 104, 3, 0, -3, -12, 64, -36, 14, -8, -12, -32, -42, 2, 0, 24, 86, -58, 90, 0, 10, 44, -6, 40, -98, 0, 17, -8, -52, -14, -32, 0, 24, -20, 6, 0, 0, -10, -8, -40, 4, 74, -80, -52, 36, -46, -84, 0, 13, 224, -24, 0, -9, 32, 10, 4, 6, 72, 0, 32, -6, -4, 9, 28, 66, -4, -28, 0, -8, 0, 6, 16, -51, 100, -13, -16, 86, -24, 46, -96, 0, -120, 8, 0, -53, 56, -4, -96, 16, 6, -39, 0, 24, -44, 36, -26, -12, -70, -10, 0, 72, 16, 0, 6, -12, 40, 128, 4, 16, 228, -1, -98, 104, 0, 119, 0, 30, 8, -4, -8, 28, -86, 84, 24, 0, -64, -59, 24, 6, -94, 20, 0, -35, 140, -22, 0, 57, 0, -32, -48, 0, 68, 130, -36, 152, 4, 0, 0, 161, -78, -54, -104, 12, 24, -50, -8, -3, 0, 27, 12, 10, -72, -104, 0, 6, -64, 1, 16, 0, 108, 23, -32, -11, 12, 0, 32, -1, -124, 0, 0, -5, -118, 56, -56, 14, -8, -12, -48, 15, -52, 0, 2, -46, -56, 2, 0, -66, -38, 24, 14, -24, 0, -40, 40, 12, 22, 42, -12, 9, 24, -21, 0, 0, 216, 12, -2, 91, 30, 19, 0, 16, -52, 15, 0, -56, 8, 18, 0, -20, 30, 10, 40, 43, -56, 0, 24, -13, -96, -50, -96, 23, -104, -6, 0, 0, 0, 52, -60, 20, 78, 28, -16, -120, 136, 19, 32, 0, 12, -64, 0, 2, -12, 24, 10, 10, -72, 10, 0, -28, 22, -38, 12, -6, -40, 9, 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": "2541.2.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], [-2], [-1], [2], [1], [2], [-1], [0], [1], [-2], [0], [-2], [6], [2], [-1], [-4], [7], [-2], [8], [2], [1], [0], [6], [0], [-4], [-12], [-1], [-2], [-4], [2], [2], [8], [0], [-14], [-1], [2], [-6], [-16], [-6], [0], [2], [-2], [1], [0], [1], [-12], [13], [4], [1], [8], [-7], [12], [0], [2], [0], [0], [-8], [8], [1], [-2], [10], [-4], [-1], [-8], [6], [0], [-3], [14], [-6], [2], [-6], [0], [-14], [12], [4], [16], [0], [12], [-4], [-4], [1], [-4], [5], [2], [7], [-2], [4], [0], [3], [-2], [-6], [12], [-2], [-26], [8], [-8], [-4], [-2], [0], [-8]]}