# Stored data for newform 1350.2.a.m, downloaded from the LMFDB on 25 April 2024.
{"label": "1350.2.a.m", "space_label": "1350.2.a", "level": 1350, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562001734, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 702575754137230187, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[7, [4, 1]], [11, [3, 1]], [13, [1, 1]], [17, [0, 1]]], "qexp_display": "q+q^{2}+q^{4}-4q^{7}+q^{8}-3q^{11}-q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5400, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 10.779804272872852, "hecke_ring_index": 1, "level_radical": 30, "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": [1350, 1, [1001, 1027], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5], "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": "0.956", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.839", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.468", "prec": 17}], "related_objects": ["EllipticCurve/Q/1350/m"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, -1]], "trace_display": [1, 0, 0, -4], "traces": [0, 1, 1, 0, 1, 0, 0, -4, 1, 0, 0, -3, 0, -1, -4, 0, 1, 0, 0, 2, 0, 0, -3, -9, 0, 0, -1, 0, -4, 6, 0, -10, 1, 0, 0, 0, 0, -7, 2, 0, 0, -6, 0, -10, -3, 0, -9, 9, 0, 9, 0, 0, -1, 6, 0, 0, -4, 0, 6, -3, 0, -7, -10, 0, 1, 0, 0, -4, 0, 0, 0, 15, 0, 2, -7, 0, 2, 12, 0, 8, 0, 0, -6, -12, 0, 0, -10, 0, -3, 12, 0, 4, -9, 0, 9, 0, 0, -19, 9, 0, 0, 12, 0, 14, -1, 0, 6, -9, 0, 2, 0, 0, -4, 6, 0, 0, 6, 0, -3, 0, 0, -2, -7, 0, -10, 0, 0, 2, 1, 0, 0, -15, 0, -8, -4, 0, 0, -6, 0, -4, 0, 0, 15, 3, 0, 0, 2, 0, -7, 18, 0, 2, 2, 0, 12, 0, 0, 14, 8, 0, 0, 36, 0, -10, -6, 0, -12, 21, 0, -12, 0, 0, -10, 0, 0, 0, -3, 0, 12, 21, 0, -1, 4, 0, -9, 0, 0, 0, 9, 0, 0, -12, 0, -10, -19, 0, 9, -24, 0, -22, 0, 0, 12, -24, 0, 0, 14, 0, -1, -6, 0, 8, 6, 0, -9, 0, 0, 40, 2, 0, 0, 0, 0, 2, -4, 0, 6, -3, 0, -1, 0, 0, 6, 12, 0, 0, -3, 0, 0, -15, 0, 5, -2, 0, -7, 0, 0, -2, -10, 0, 0, -15, 0, 27, 2, 0, 1, -12, 0, 28, 0, 0, -15, 15, 0, 0, -8, 0, -4, 12, 0, 20, 0, 0, -6, 0, 0, 2, -4, 0, 0, -6, 0, 26, 15, 0, 3, 24, 0, -17, 0, 0, 2, -24, 0, 0, -7, 0, 18, 9, 0, 40, 2, 0, 2, 0, 0, 26, 12, 0, 0, -21, 0, 14, 14, 0, 8, 18, 0, -18, 0, 0, 36, 0, 0, 0, -10, 0, -6, -36, 0, -10, -12, 0, 21, 0, 0, 2, -12, 0, 0, 30, 0, -8, -10, 0, 0, 12, 0, -10, 0, 0, -3, -6, 0, 0, 12, 0, 21, -27, 0, -15, -1, 0, 4, 0, 0, 8, -9, 0, 0, -24, 0, -22, 0, 0, 9, -6, 0, -10, 0, 0, -12, 9, 0, 0, -10, 0, -19, -6, 0, 0, 9, 0, -24, 0, 0, 5, -22, 0, 0, 12, 0, 10, 12, 0, -24, 21, 0, -7, 0, 0, 14, 12, 0, 0, -1, 0, -6, 12, 0, -37, 8, 0, 6, 0, 0, 28, -9, 0, 0, -27, 0, 11, 40, 0, 2, -18, 0, -4, 0, 0, 0, -3, 0, 0, 2, 0, -4, -18, 0, 18, 6, 0, -3, 0, 0, -19, -1, 0, 0, 24, 0, -22, 6, 0, 12, -3, 0, 16, 0, 0, -3, 30, 0, 0, 0, 0, -15, -24, 0, 7, 5, 0, -2, 0, 0, -4, -7, 0, 0, -36, 0, 0, -2, 0, -10, -60, 0, -16, 0, 0, -15, -12, 0, 0, 27, 0, 2, 30, 0, -8, 1, 0, -12, 0, 0, -27, 28, 0, 0, -24, 0, -4, -15, 0, 15, 0, 0, 58, 0, 0, -8, 6, 0, 0, -4, 0, 12, -27, 0, 35, 20, 0, 0, 0, 0, -28, -6, 0, 0, 12, 0, -32, 2, 0, -4, -12, 0, 10, 0, 0, -6, 27, 0, 0, 26, 0, 15, 18, 0, -34, 3, 0, 24, 0, 0, -13, -17, 0, 0, 48, 0, -18, 2, 0, -24, -12, 0, -20, 0, 0, -7, 12, 0, 0, 18, 0, 9, -12, 0, 35, 40, 0, 2, 0, 0, -22, 2, 0, 0, -9, 0, 29, 26, 0, 12, -18, 0, 2, 0, 0, -21, -48, 0, 0, 14, 0, 14, 0, 0, -10, 8, 0, 18, 0, 0, -9, -18, 0, 0, 12, 0, 14, 36, 0, 0, -15, 0, 9, 0, 0, -10, 36, 0, 0, -6, 0, -36, -36, 0, -31, -10, 0, -12, 0, 0, -54, 21, 0, 0, 21, 0, -1, 2, 0, -12, 18, 0, 76, 0, 0, 30, -9, 0, 0, -8, 0, -10, -6, 0, -46, 0, 0, 12, 0, 0, 0, -10, 0, 0, -36, 0, -14, -3, 0, -6, -48, 0, -1, 0, 0, 12, 90, 0, 0, 21, 0, -27, 21, 0, -56, -15, 0, -1, 0, 0, -4, 4, 0, 0, 0, 0, -13, 8, 0, -9, 12, 0, -16, 0, 0, -24, 3, 0, 0, -22, 0, 0, 36, 0, -4, 9, 0, -6, 0, 0, 23, -10, 0, 0, 18, 0, -8, -12, 0, 9, 3, 0, -46, 0, 0, -10, -42, 0, 0, -19, 0, -6, -12, 0, -45, 0, 0, 9, 0, 0, 8, -24, 0, 0, -24, 0, 7, 5, 0, -22, 6, 0, 0, 0, 0, 12, -6, 0, 0, 10, 0, 12, -42, 0, 32, -24, 0, 21, 0, 0, -20, -7, 0, 0, 6, 0, 26, 14, 0, 12, 45, 0, 47, 0, 0, -1, 0, 0, 0, -6, 0, 12, 9, 0, 7, -37, 0, 8, 0, 0, 8, 6, 0, 0, 63, 0, -55, 28, 0, -9, -12, 0, 50, 0, 0, -27, -24, 0, 0, 11, 0, 40, -24, 0, 4, 2, 0, -18, 0, 0, -43, -4, 0, 0, -36, 0, -52, 0, 0, -3, 3, 0, -8, 0, 0, 2, 18, 0, 0, -4, 0, -18, -60, 0, 0, 18, 0, 6, 0, 0, -46, -3, 0, 0, -39, 0, 36, -19, 0, -1, 60, 0, -46, 0, 0, 24, -15, 0, 0, -22, 0, 6, -42, 0, 18, 12, 0, -3, 0, 0, -1, 16, 0, 0, 12, 0, 54, -3, 0, 30, 24, 0, -2, 0, 0, 0, 36, 0, 0, -15, 0, -24, 24, 0, 69, 7, 0, 5, 0, 0, 32, -2, 0, 0, -27, 0, 16, -4, 0, -7, -48, 0, -36, 0, 0, -36, 9, 0, 0, 0, 0, -2, 90, 0, 32, -10, 0, -60, 0, 0, 53, -16, 0, 0, -12, 0, 0, -15, 0, -12, 12, 0, 41, 0, 0, 27, -24, 0, 0, 2, 0, 30, 0, 0, 2, -8, 0, 1, 0, 0, -8, -12, 0, 0, -15, 0, -31, -27, 0, 28, 0, 0, 44, 0, 0, -24, -72, 0, 0, -4, 0, -15, 54, 0, 56, 15, 0, 0, 0, 0, -8, 58, 0, 0, 6, 0, -22, -8, 0, 6, 57, 0, -19, 0, 0, -4, -42, 0, 0, 12, 0, -27, 12, 0, -81, 35, 0, 20, 0, 0, 50, 0, 0, 0, 3, 0, 11, -28, 0, -6, -6, 0, -56, 0, 0, 12, -12, 0, 0, -32, 0, 2, 30, 0, -36, -4, 0, -12, 0, 0, 2, 10, 0, 0, -6, 0, 32, -6, 0, 27, -81, 0, -31, 0, 0, 26, -42, 0, 0, 15, 0, 18, 0, 0, 40, -34, 0, 3, 0, 0, 70, 24, 0, 0, -39, 0, -7, -13, 0, -17, -12, 0, -14, 0, 0, 48, 27, 0, 0, -18, 0, 2, -84, 0, -28, -24, 0, -12, 0, 0, 27, -20, 0, 0, 18, 0, 48, -7, 0, 12, 21, 0, -36, 0, 0, 18, 48, 0, 0, 9, 0, -12, -6, 0, 23, 35, 0, 40, 0, 0, 0, 2, 0, 0, 0, 0, -37, -22, 0, 2, 42, 0, -54, 0, 0, -9, 24, 0, 0, 29, 0, 26, 54, 0, -10, 12, 0, -18, 0, 0, 23, 2, 0, 0, 0, 0, -18, -21, 0, -48, -60, 0, -19, 0, 0, 14, -84, 0, 0, 14, 0, 0, 51, 0, 19, -10, 0, 8, 0, 0, 4, 18, 0, 0, 60, 0, -8, -9, 0, -18, 18, 0, 20, 0, 0, 12, 39, 0, 0, 14, 0, 36, -30, 0, 20, 0, 0, -15, 0, 0, 62, 9, 0, 0, -12, 0, -10, -10, 0, 36, 51, 0, 0, 0, 0, -6, -12, 0, 0, -36, 0, -36, 51, 0, -10, -31, 0, -10, 0, 0, -22, -12, 0, 0, 39, 0, 100, -54, 0, 21, 48, 0, -14, 0, 0, 21, 0, 0, 0, -1, 0, 2, 30, 0, 40, -12, 0, 18, 0, 0, 27, 76, 0, 0, -18, 0, 54, 30, 0, -9, -3, 0, 12, 0, 0, -8, 6, 0, 0, -10, 0, -6, 96, 0, 59, -46, 0, 0, 0, 0, 4, 12, 0, 0, 9, 0, 88, 0, 0, -10, -6, 0, 56, 0, 0, -36, 63, 0, 0, -14, 0, -3, -54, 0, 0, -6, 0, -48, 0, 0, -2, -1, 0, 0, 54, 0, -70, 12, 0, 90, 33, 0, -7, 0, 0, 21, -54, 0, 0, -27, 0, 21, -9, 0, 45, -56, 0, -15, 0, 0, 32, -1, 0, 0, 48, 0, 11, -4, 0, 4, -90, 0, 56, 0, 0, 0, 24, 0, 0, -13, 0, 8, -6, 0, -40, -9, 0, 12, 0, 0, -32, -16, 0, 0, 12, 0, -10, -24, 0, 3, 15, 0, -31, 0, 0, -22, -48, 0, 0, 0, 0, 36, -36, 0, 16, -4, 0, 9, 0, 0, 18, -6, 0, 0, 21, 0, 0, 23, 0, -10, 42, 0, -90, 0, 0, 18, 60, 0, 0, -8, 0, -12, 12, 0, -34, 9, 0, 3, 0, 0, 36, -46, 0, 0, 36, 0, -46, -10, 0, -42, 0, 0, 29, 0, 0, -19, -66, 0, 0, -6, 0, -12, 63, 0, -8, -45, 0, 0, 0, 0, -52, 9, 0, 0, 27, 0, 2, 8, 0, -24, -24, 0, 44, 0, 0, -24, 9, 0, 0, 7, 0, 5, 12, 0, 70, -22, 0, 6, 0, 0, -49, 0, 0, 0, 12, 0, 4, 12, 0, -6, -15, 0, 17, 0, 0, 10, 30, 0, 0, 12, 0, -42, 27, 0, -22, 32, 0, -24, 0, 0, 62, 21, 0, 0, -48, 0, -135, -20, 0, -7, 66, 0, -54, 0, 0, 6, -60, 0, 0, 26, 0, 14, 0, 0, -2, 12, 0, 45, 0, 0, -25, 47, 0, 0, -6, 0, 26, -1, 0, 0, 36, 0, -58, 0, 0, -6, 60, 0, 0, 12, 0, 9, -18, 0, -5, 7, 0, -37, 0, 0, -20, 8, 0, 0, 24, 0, -19, 8, 0, 6, 18, 0, 62, 0, 0, 63, 15, 0, 0, -55, 0, 28, 12, 0, -18, -9, 0, -12, 0, 0, 0, 50, 0, 0, -54, 0, 14, -27, 0, -24, -42, 0, 8, 0, 0, 11, -54, 0, 0, 40, 0, -24, -63, 0, -43, 4, 0, 2, 0, 0, -34, -18, 0, 0, 0, 0, 17, -43, 0, -4, 60, 0, -76, 0, 0, -36, 60, 0, 0, -52, 0, 0, -42, 0, -108, -3, 0, 3, 0, 0, -19, -8, 0, 0, 6, 0, 14, 2, 0, 18, -24, 0, 38, 0, 0, -4, 30, 0, 0, -18, 0, -60, 48, 0, -13, 0, 0, 18, 0, 0, 4, 6, 0, 0, 3, 0, -63, -46, 0, -3, -72, 0, 0, 0, 0, -39, -75, 0, 0, 36, 0, -19, 30, 0, -58, -1, 0, 60, 0, 0, -63, -46, 0, 0, -60, 0, -38, 24, 0, -15, -15, 0, 57, 0, 0, -22, 0, 0, 0, 6, 0, -42, 36, 0, -19, 18, 0, 12, 0, 0, 32, -3, 0, 0, 33, 0, 41, -1, 0, 16, 42, 0, 26, 0, 0, 12, -48, 0, 0, 54, 0, -3, -30, 0, 70, 30, 0, 24, 0, 0, -80, -2, 0, 0, -78, 0, 0, 0, 0, 36, -60, 0, 108, 0, 0, -15, 0, 0, 0, -24, 0, 24, 24, 0, 0, 69, 0, 7, 0, 0, -54, 5, 0, 0, -39, 0, 50, 32, 0, -2, -18, 0, -8, 0, 0, -27, -24, 0, 0, 16, 0, -4, -24, 0, 62, -7, 0, -48, 0, 0, 28, -36, 0, 0, -42, 0, -2, -36, 0, 9, 24, 0, -63, 0, 0, 0, -66, 0, 0, -2, 0, 90, 12, 0, -104, 32, 0, -10, 0, 0, -46, -60, 0, 0, 3, 0, -13, 53, 0, -16, 48, 0, 20, 0, 0, -12, 51, 0, 0, 0, 0, -15, -54, 0, 68, -12, 0, 12, 0, 0, -7, 41, 0, 0, -90, 0, 68, 27, 0, -24, -75, 0, 26, 0, 0, 2, -18, 0, 0, 30, 0, 0, 21, 0, -14, 2, 0, -8, 0, 0, -108, 1, 0, 0, 96, 0, -34, -8, 0, -12, 0, 0, 90, 0, 0, -15, 24, 0, 0, -31, 0, -27, 24, 0, 4, 28, 0, 0, 0, 0, 40, 44, 0, 0, 30, 0, 32, -24, 0, -72, -48, 0, 65, 0, 0, -4, -36, 0, 0, -15, 0, 54, -84, 0, 36, 56, 0, 15, 0, 0, -90, 0, 0, 0, -33, 0, -34, -8, 0, 58, 12, 0, 10, 0, 0, 6, 30, 0, 0, -22, 0, -8, -60, 0, -28, 6, 0, 57, 0, 0, -73, -19, 0, 0, -12, 0, -76, -4, 0, -42, 12, 0, -104, 0, 0, 12, 36, 0, 0, -27, 0, 12, 0, 0, -43, -81, 0, 35, 0, 0, 72, 20, 0, 0, -21, 0, -36, 50, 0, 0, 84, 0, 44, 0, 0, 3, 21, 0, 0, 11, 0, -28, 66, 0, -56, -6, 0, -6, 0, 0, 25, -56, 0, 0, -150, 0, 14, 12, 0, -12, 63, 0, 34, 0, 0, -32, 12, 0, 0, 2, 0, 30, -72, 0, -1, -36, 0, -4, 0, 0, 0, -12, 0, 0, 171, 0, 72, 2, 0, 10, 66, 0, 32, 0, 0, -6, -39, 0, 0, 32, 0, -6, 0, 0, -46, 27, 0, -81, 0, 0, 49, -31, 0, 0, 0, 0, -20, 26, 0, -42, -24, 0, -58, 0, 0, 15, 78, 0, 0, 18, 0, 0, -60, 0, 41, 40, 0, -34, 0, 0, 56, 3, 0, 0, 48, 0, -19, 70, 0, 24, 18, 0, -4, 0, 0, -39, 81, 0, 0, -7, 0, -13, 78, 0, -22, -17, 0, -12, 0, 0, 40, -14, 0, 0, -24, 0, -108, 48, 0, 27, -21, 0, 0, 0, 0, -18, -48, 0, 0, 2, 0, -84, -36, 0, -46, -28, 0, -24, 0, 0, -28, -12, 0, 0, -3, 0, 1, 27, 0, -20, -84, 0, -8, 0, 0, 18, 0, 0, 0, 48, 0, -7, -126, 0, -70, 12, 0, 21, 0, 0, 29, -36, 0, 0, -24, 0, -4, 18, 0, 48, -120, 0, 14, 0, 0, 9, -18, 0, 0, -12, 0, -6, -45, 0, -31, 23, 0, 35, 0, 0, -72, 40, 0, 0, -12, 0, 4, 0, 0, 2, -42, 0, 18, 0, 0, 0, 3, 0, 0, -37, 0, -22, -48, 0, 0, 2, 0, 42, 0, 0, -91, -54, 0, 0, -6, 0, 40, -9, 0, 24, 9, 0, -80, 0, 0, 29, -6, 0, 0, 26, 0, 54, 15, 0, 81, -10, 0, 12, 0, 0, 56, -18, 0, 0, 24, 0, -22, 23, 0, 2, -18, 0, 28, 0, 0, 0, 12, 0, 0, -18, 0, -21, -30, 0, 54, -48, 0, -60, 0, 0, 9, -19, 0, 0, 42, 0, 56, 14, 0, -84, -18, 0, 10, 0, 0, 14, 108, 0, 0, 0, 0, 51, 3, 0, 23, 19, 0, -10, 0, 0, 60, 8, 0, 0, 84, 0, 0, 4, 0, 18, 30, 0, -100, 0, 0, 60, 15, 0, 0, -8, 0, -9, 18, 0, 14, -18, 0, 18, 0, 0, 2, 20, 0, 0, 24, 0, -36, 12, 0, 39, 0, 0, -32, 0, 0, 14, 120, 0, 0, 36, 0, -30, 84, 0, 72, 20, 0, 0, 0, 0, 22, -15, 0, 0, -21, 0, 14, 62, 0, 9, 54, 0, -54, 0, 0, -12, -12, 0, 0, -10, 0, -10, 66, 0, 88, 36, 0, 51, 0, 0, 2, 0, 0, 0, -66, 0, 70, -6, 0, -12, -105, 0, 45, 0, 0, -36, -60, 0, 0, -36, 0, 51, 24, 0, -8, -10, 0, -31, 0, 0, -52, -10, 0, 0, -15, 0, 40, -22, 0, -12, 18, 0, -94, 0, 0, 39, -24, 0, 0, 100, 0, -54, 0, 0, 32, 21, 0, 48, 0, 0, 59, -14, 0, 0, -36, 0, -34, 21, 0, 0, 48, 0, 2, 0, 0, -1, 60, 0, 0, 2, 0, 30, 24, 0, -14, 40, 0, -12, 0, 0, 14, 18, 0, 0, 48, 0, 26, 27, 0, 76, 6, 0, 44, 0, 0, -18, 24, 0, 0, 54, 0, 30, -30, 0, 68, -9, 0, -3, 0, 0, 0, 12, 0, 0, 102, 0, -8, -8, 0, 6, 24, 0, 41, 0, 0, -10, 30, 0, 0, -6, 0, 96, -120, 0, 45, 59, 0, -46, 0, 0, -10, 0, 0, 0, 0, 0, -27, 4, 0, 12, -96, 0, -20, 0, 0, 9, 18, 0, 0, 88, 0, 0, -30, 0, 2, -10, 0, -6, 0, 0, -1, 56, 0, 0, -72, 0, 104, -36, 0, 63, -48, 0, -17, 0, 0, -14, -114, 0, 0, -3, 0, -54, 69, 0, -40, 0, 0, -6, 0, 0, 36, -48, 0, 0, 36, 0, 11, -2, 0, -1, -12, 0, 0, 0, 0, 54, -51, 0, 0, -70, 0, 12, -84, 0, 44, 90, 0, 33, 0, 0, 74, -7, 0, 0, -18, 0, 28, 21, 0, -54, -63, 0, 4, 0, 0, -27, 0, 0, 0, 21, 0, -9, -72, 0, 40, 45, 0, -56, 0, 0, 62, -15, 0, 0, -27, 0, -45, 32, 0, -1, -96, 0, -2, 0, 0, 48, 96, 0, 0, 11, 0, -4, 24, 0, -90, 4, 0, -90, 0, 0, 38, 56, 0, 0, -18, 0, -56, 0, 0, 24, -75, 0, 72, 0, 0, -13, -48, 0, 0, 8, 0, -6, 72, 0, 0, -40, 0, -9, 0, 0, 148, 12, 0, 0, 3, 0, 38, -32, 0, -16, -42, 0, -36, 0, 0, 12, 84, 0, 0, -10, 0, -24, -36, 0, -64, 3, 0, 15, 0, 0, 1, -31, 0, 0, -60, 0, 28, -22, 0, -48, 84, 0, -63, 0, 0, 0, -12, 0, 0, 36, 0, -36, 3, 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": "1350.2.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], [0], [1], [0], [0], [-4], [1], [0], [0], [-3], [0], [-1], [-4], [0], [1], [0], [0], [2], [0], [0], [-3], [-9], [0], [0], [-1], [0], [-4], [6], [0], [-10], [1], [0], [0], [0], [0], [-7], [2], [0], [0], [-6], [0], [-10], [-3], [0], [-9], [9], [0], [9], [0], [0], [-1], [6], [0], [0], [-4], [0], [6], [-3], [0], [-7], [-10], [0], [1], [0], [0], [-4], [0], [0], [0], [15], [0], [2], [-7], [0], [2], [12], [0], [8], [0], [0], [-6], [-12], [0], [0], [-10], [0], [-3], [12], [0], [4], [-9], [0], [9], [0], [0], [-19], [9], [0], [0]]}