# Stored data for newform 7623.2.a.h, downloaded from the LMFDB on 23 April 2024.
{"label": "7623.2.a.h", "space_label": "7623.2.a", "level": 7623, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425155527, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1569790865875998243, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1]], [5, [-3, 1]], [13, [-7, 1]]], "qexp_display": "q-q^{2}-q^{4}+3q^{5}+q^{7}+3q^{8}-3q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30492, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 60.86996146082204, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [7623, 1, [848, 4357, 4600], [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": "0.951", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.871", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.652", "prec": 17}], "related_objects": ["EllipticCurve/Q/7623/h"], "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": [-1, 0, 3, 1], "traces": [0, 1, -1, 0, -1, 3, 0, 1, 3, 0, -3, 0, 0, 7, -1, 0, -1, -3, 0, -2, -3, 0, 0, 4, 0, 4, -7, 0, -1, -7, 0, -10, -5, 0, 3, 3, 0, 1, 2, 0, 9, 5, 0, 6, 0, 0, -4, 6, 0, 1, -4, 0, -7, 5, 0, 0, 3, 0, 7, 6, 0, 10, 10, 0, 7, 21, 0, -8, 3, 0, -3, 10, 0, 10, -1, 0, 2, 0, 0, -2, -3, 0, -5, 16, 0, -9, -6, 0, 0, -3, 0, 7, -4, 0, -6, -6, 0, -19, -1, 0, -4, 2, 0, -16, 21, 0, -5, 14, 0, -7, 0, 0, -1, -9, 0, 12, 7, 0, -6, -3, 0, 0, -10, 0, 10, -3, 0, 8, 3, 0, -21, 4, 0, -2, 8, 0, -9, -2, 0, -4, -3, 0, -10, 0, 0, -21, -10, 0, -1, 21, 0, 2, -6, 0, 0, -30, 0, -14, 2, 0, -15, 4, 0, 10, -5, 0, -16, -12, 0, 36, 9, 0, -6, 10, 0, 4, 0, 0, 3, 10, 0, 23, -7, 0, 12, 3, 0, 0, -6, 0, 6, -22, 0, 11, 19, 0, -1, 1, 0, -2, 12, 0, -2, -7, 0, 15, 16, 0, -7, 0, 0, 8, -5, 0, -14, 18, 0, -10, 7, 0, 0, -21, 0, -24, -5, 0, 9, -2, 0, -13, -12, 0, -21, 23, 0, 18, -6, 0, 3, -12, 0, 14, 0, 0, -10, 3, 0, -14, -30, 0, 3, 12, 0, 0, -8, 0, -17, 29, 0, 1, -21, 0, -4, -24, 0, 15, 2, 0, 8, 23, 0, -8, 3, 0, 2, 0, 0, 5, 4, 0, 9, -18, 0, -22, -10, 0, 0, 5, 0, -8, 21, 0, -10, 27, 0, 18, 3, 0, -21, 28, 0, 6, -2, 0, 2, 30, 0, -12, 0, 0, 30, 10, 0, 9, 14, 0, 2, -18, 0, 0, 21, 0, -4, 6, 0, 28, -10, 0, 15, 6, 0, 18, -16, 0, 12, -24, 0, -5, -36, 0, 9, 0, 0, 1, 18, 0, -10, -26, 0, 3, -4, 0, 0, 21, 0, 30, 3, 0, -10, -12, 0, -15, -23, 0, -7, 30, 0, 10, -4, 0, -3, 5, 0, 6, 0, 0, 18, -49, 0, 16, 6, 0, 22, -16, 0, 0, -11, 0, 19, -7, 0, -12, 3, 0, -1, -6, 0, -33, 2, 0, -4, 15, 0, -70, -2, 0, 7, 0, 0, 5, -15, 0, 16, 6, 0, 48, -35, 0, 0, -16, 0, -15, -8, 0, 15, -12, 0, 10, -14, 0, -18, 14, 0, 1, 10, 0, 7, -8, 0, 4, 0, 0, 21, -4, 0, -9, 24, 0, 7, 27, 0, 0, 9, 0, 2, 21, 0, -33, 13, 0, -12, 15, 0, 22, 7, 0, -23, -8, 0, -8, -18, 0, 18, 0, 0, -8, 3, 0, 12, 26, 0, 7, -14, 0, 0, -57, 0, -38, 30, 0, -3, 36, 0, 21, 14, 0, 10, 10, 0, -32, 3, 0, -12, -16, 0, 6, 0, 0, -8, 42, 0, 10, 11, 0, -29, -48, 0, 0, -1, 0, 63, 2, 0, 20, -4, 0, 24, 30, 0, -7, -15, 0, 2, 35, 0, 42, -24, 0, -23, 0, 0, 30, 8, 0, 15, -21, 0, 2, 2, 0, 0, 14, 0, -2, -5, 0, 4, 6, 0, 42, -3, 0, 18, 18, 0, -27, 22, 0, 30, -10, 0, -16, 0, 0, -5, 16, 0, 37, 8, 0, 21, 16, 0, 0, 30, 0, -27, 42, 0, 20, -18, 0, -1, -7, 0, -9, -21, 0, -28, -10, 0, 33, -6, 0, -2, 0, 0, 4, 10, 0, -30, 42, 0, -7, 12, 0, 0, 3, 0, -42, 30, 0, -10, -3, 0, -29, -9, 0, 14, -3, 0, 14, -6, 0, 18, 24, 0, 7, 0, 0, 9, -9, 0, 12, -4, 0, -6, 0, 0, 0, -28, 0, -10, 18, 0, 12, -5, 0, -6, -6, 0, 35, -18, 0, 48, -6, 0, -28, 12, 0, 24, 0, 0, 46, 5, 0, -36, -33, 0, -19, -27, 0, 0, 4, 0, -6, -1, 0, -6, 35, 0, 22, -10, 0, 26, -12, 0, -15, -3, 0, -4, 29, 0, -2, 0, 0, -21, 2, 0, -6, -30, 0, -9, -40, 0, 0, -10, 0, 12, -30, 0, -16, 15, 0, -23, -28, 0, -14, 21, 0, -30, -18, 0, -1, -10, 0, -20, 0, 0, -30, -3, 0, -5, 6, 0, 63, -6, 0, 0, 14, 0, 14, -6, 0, 49, 6, 0, -39, -16, 0, -18, -15, 0, -7, 22, 0, 16, 42, 0, -15, 0, 0, -11, 18, 0, -40, -57, 0, 7, -10, 0, 0, 12, 0, -1, -42, 0, 40, -1, 0, 6, -9, 0, 70, 33, 0, 2, -2, 0, -18, -20, 0, -15, 0, 0, 12, 70, 0, 6, -18, 0, 38, 7, 0, 0, 30, 0, -12, -5, 0, -15, -10, 0, 28, -48, 0, -6, -46, 0, -25, -48, 0, 49, -3, 0, -36, 0, 0, 16, -30, 0, 20, 15, 0, -8, 108, 0, 0, -5, 0, 12, 4, 0, -37, -10, 0, 42, 26, 0, 0, -18, 0, -14, 14, 0, 30, -1, 0, 10, 0, 0, -56, -21, 0, 8, -3, 0, 45, -4, 0, 0, -35, 0, 6, 21, 0, 4, 8, 0, 8, 9, 0, 24, -12, 0, 30, 3, 0, -27, 70, 0, -15, 0, 0, -27, 69, 0, 18, 2, 0, -21, -12, 0, 0, 33, 0, 13, 4, 0, -46, 36, 0, -15, 70, 0, 4, -22, 0, 35, 21, 0, -2, -23, 0, 8, 0, 0, 25, 8, 0, -18, -17, 0, 20, -6, 0, 0, 54, 0, 70, 8, 0, -9, -29, 0, -66, 12, 0, -26, -2, 0, 69, -7, 0, -14, 33, 0, 14, 0, 0, 57, -4, 0, -4, 38, 0, -10, 23, 0, 0, -3, 0, -36, -58, 0, 3, -21, 0, 14, 24, 0, 2, 50, 0, -10, -6, 0, 43, 32, 0, -9, 0, 0, -18, -12, 0, 16, -10, 0, 15, -6, 0, 0, -22, 0, -21, 24, 0, -42, 12, 0, 10, -10, 0, 23, 20, 0, -14, -29, 0, 48, -60, 0, -9, 0, 0, -1, -30, 0, -4, -21, 0, -2, 21, 0, 0, -20, 0, 12, 21, 0, -60, 24, 0, -30, 24, 0, 2, 7, 0, -15, 17, 0, -54, -6, 0, -35, 0, 0, -37, -42, 0, 8, -7, 0, 24, -23, 0, 0, 112, 0, 24, -30, 0, 8, -30, 0, -52, -21, 0, 21, -38, 0, -2, -2, 0, -6, -3, 0, -14, 0, 0, -14, -54, 0, -63, 2, 0, -5, 10, 0, 0, -12, 0, -6, -72, 0, 5, -42, 0, -15, -12, 0, -20, 18, 0, -18, 4, 0, 7, 27, 0, 22, 0, 0, -6, -10, 0, 10, 24, 0, 10, 16, 0, 0, -39, 0, -10, -5, 0, -16, 8, 0, -18, -37, 0, 8, -21, 0, -20, -63, 0, -16, -58, 0, 69, 0, 0, -10, -12, 0, -6, -27, 0, -42, 24, 0, 0, -20, 0, -18, 15, 0, 36, -5, 0, 7, -6, 0, -35, 9, 0, 63, -59, 0, -36, -28, 0, 10, 0, 0, -37, -33, 0, -6, 42, 0, -30, 6, 0, 0, 10, 0, 34, -4, 0, -14, -11, 0, 20, -30, 0, -42, -6, 0, 4, 7, 0, 12, 66, 0, 10, 0, 0, -3, -42, 0, 55, 42, 0, -90, -30, 0, 0, -10, 0, 3, -42, 0, 45, 29, 0, -9, 10, 0, 36, -42, 0, 3, 10, 0, -133, -14, 0, 2, 0, 0, 23, 18, 0, -24, -50, 0, 16, -7, 0, 0, 26, 0, 52, -51, 0, 9, -60, 0, 87, -12, 0, 12, 47, 0, 26, -6, 0, 0, 3, 0, 23, 0, 0, -28, -49, 0, -2, 30, 0, -18, 20, 0, 0, -12, 0, -25, 14, 0, -72, -6, 0, 6, -28, 0, -35, -35, 0, -18, 20, 0, -26, -16, 0, 6, 0, 0, -60, 28, 0, -36, -22, 0, -112, 24, 0, 0, 6, 0, 69, -46, 0, 5, -20, 0, 11, 108, 0, 33, -24, 0, 24, 19, 0, 9, -46, 0, -42, 0, 0, -4, 4, 0, -36, 6, 0, -1, 29, 0, 0, -30, 0, -35, 1, 0, 25, -22, 0, 30, 15, 0, -20, 26, 0, 12, 98, 0, -2, 15, 0, -3, 0, 0, 20, 12, 0, -29, 40, 0, -54, 2, 0, 0, -33, 0, -48, -21, 0, -2, -66, 0, -49, 6, 0, -30, -7, 0, -20, 3, 0, 40, 42, 0, -51, 0, 0, 30, 9, 0, 15, 12, 0, 30, 62, 0, 0, 16, 0, 15, -24, 0, -24, 69, 0, 28, 38, 0, -3, 14, 0, -7, -60, 0, 4, -30, 0, 18, 0, 0, 81, 1, 0, -10, -63, 0, 10, 28, 0, 0, 24, 0, 8, 30, 0, 9, -45, 0, 18, -5, 0, -6, -46, 0, -50, -63, 0, -6, -51, 0, 84, 0, 0, -14, -12, 0, 4, -14, 0, -30, 18, 0, 0, 49, 0, -6, -6, 0, 9, 39, 0, -16, 5, 0, -10, 6, 0, 15, 48, 0, 40, 7, 0, -66, 0, 0, -8, 16, 0, -42, -36, 0, -35, 15, 0, 0, -32, 0, 66, 33, 0, -18, -21, 0, 41, 40, 0, 19, -6, 0, 30, 7, 0, 10, 18, 0, -24, 0, 0, 12, 27, 0, -68, -5, 0, 42, 54, 0, 0, -40, 0, 3, -32, 0, -56, 6, 0, 9, -50, 0, -54, -70, 0, 33, -2, 0, 6, -6, 0, 2, 0, 0, -14, 18, 0, 28, -27, 0, -13, -15, 0, 0, 32, 0, -31, -12, 0, 70, -21, 0, 18, -2, 0, 18, 30, 0, 33, -38, 0, -21, -21, 0, 34, 0, 0, -30, 23, 0, 40, 12, 0, -5, 43, 0, 0, 45, 0, 10, -50, 0, 18, -28, 0, 16, 57, 0, 56, -6, 0, 46, 54, 0, 34, 25, 0, -48, 0, 0, -16, 21, 0, 3, 22, 0, 67, 36, 0, 0, -12, 0, -32, 16, 0, 30, 40, 0, -16, -20, 0, 15, -15, 0, 14, 24, 0, -108, 6, 0, 26, 0, 0, -25, -55, 0, -6, 12, 0, -4, 28, 0, 0, 37, 0, -10, 54, 0, -42, -14, 0, -26, 3, 0, -6, 0, 0, 54, -30, 0, -24, -14, 0, -14, 0, 0, -14, -30, 0, -1, 70, 0, -78, -30, 0, 0, 6, 0, -41, 56, 0, 7, 9, 0, -12, 8, 0, 3, 48, 0, -39, -45, 0, -4, 12, 0, 60, 0, 0, 35, 30, 0, 63, -6, 0, -63, -70, 0, 0, 4, 0, -8, 40, 0, 50, -8, 0, 9, -14, 0, 38, -72, 0, 12, -52, 0, 37, -30, 0, -17, 0, 0, -36, -27, 0, -70, 29, 0, 22, 15, 0, 0, -45, 0, -28, 9, 0, -69, 22, 0, 1, -18, 0, -6, -8, 0, -42, -21, 0, 12, 42, 0, 40, 0, 0, 33, -60, 0, 6, -39, 0, -4, 30, 0, 0, 46, 0, -12, -24, 0, 38, -15, 0, -70, -60, 0, -7, -4, 0, -22, 21, 0, 15, -49, 0, -21, 0, 0, -9, 2, 0, 69, 18, 0, -4, 8, 0, 0, 58, 0, -66, -25, 0, 8, -50, 0, 40, 54, 0, 17, 23, 0, -147, -20, 0, -30, 45, 0, -100, 0, 0, -54, 48, 0, -8, -70, 0, 8, 21, 0, 0, 3, 0, 29, 50, 0, 64, 66, 0, -36, 7, 0, -48, -26, 0, 2, -4, 0, 27, -69, 0, -7, 0, 0, 30, 42, 0, -33, 12, 0, 14, -14, 0, 0, 147, 0, 5, 57, 0, 4, 56, 0, -21, 4, 0, 38, -46, 0, 2, -50, 0, -23, -36, 0, 32, 0, 0, 9, 5, 0, 14, -36, 0, 58, -18, 0, 0, -3, 0, -21, 39, 0, -8, -42, 0, -24, 70, 0, -22, -2, 0, -70, -99, 0, 4, -10, 0, 6, 0, 0, -26, -43, 0, 32, 81, 0, -32, 3, 0, 0, -14, 0, 45, 18, 0, 36, 5, 0, 10, 16, 0, 10, -210, 0, -50, -15, 0, -6, 36, 0, -8, 0, 0, 22, -86, 0, -45, 21, 0, -8, -28, 0, 0, -42, 0, -12, -30, 0, -98, -10, 0, -10, 15, 0, -12, -45, 0, -20, 27, 0, 77, 14, 0, 87, 0, 0, -70, 48, 0, 60, -30, 0, 18, 9, 0, 0, -75, 0, 14, 3, 0, 30, 64, 0, 80, 4, 0, -105, 55, 0, -72, -2, 0, -21, -34, 0, -47, 0, 0, -20, 28, 0, -48, -4, 0, -21, -42, 0, 0, 60, 0, -72, -45, 0, 6, -30, 0, -24, -12, 0, -86, -2, 0, 7, -70, 0, 70, 45, 0, -17, 0, 0, 9, 54, 0, 2, -5, 0, -20, -35, 0, 0, 30, 0, 15, 37, 0, -42, -21, 0, 88, 40, 0, 7, 18, 0, -12, -24, 0, 69, -81, 0, 42, 0, 0, -112, -24, 0, -30, -24, 0, -30, 3, 0, 0, -24, 0, 30, -84, 0, 25, 52, 0, -9, 10, 0, 50, 21, 0, 38, 6, 0, -24, 2, 0, -2, 0, 0, 9, 2, 0, 3, 12, 0, 161, 14, 0, 0, -100, 0, -56, -14, 0, 54, -84, 0, -11, 63, 0, 2, 65, 0, -12, 15, 0, -10, -18, 0, 41, 0, 0, 4, -12, 0, -12, -6, 0, 72, -76, 0, 0, -5, 0, -42, -34, 0, 14, 21, 0, 12, -26, 0, 81, 20, 0, -54, 70, 0, 28, -18, 0, -4, 0, 0, 10, -7, 0, 27, 6, 0, -100, -66, 0, 0, 30, 0, 9, 6, 0, -50, -22, 0, 28, 10, 0, -24, 30, 0, -67, -10, 0, 16, -99, 0, -10, 0, 0, 39, 14, 0, 1, 10, 0, 15, 22, 0, 0, -16, 0, -8, 6, 0, 45, 18, 0, -37, 15, 0, -44, -24, 0, 21, 66, 0, 18, 20, 0, 21, 0, 0, 8, -16, 0, 58, 70, 0, 6, -69, 0, 0, -26, 0, -24, -50, 0, 12, -14, 0, 3, 6, 0, 81, -24, 0, 12, -42, 0, -24, 46, 0, 161, 0, 0, -20, 67, 0, -5, 54, 0, -15, 12, 0, 0, -36, 0, 7, -64, 0, -10, 7, 0, 6, 6, 0, 22, 35, 0, 9, -47, 0, -66, -21, 0, 59, 0, 0, 1, 36, 0, 84, -39, 0, 78, 10, 0, 0, -96, 0, 1, 37, 0, -33, 21, 0, -112, 18, 0, -42, -42, 0, -16, 30, 0, -2, 27, 0, 30, 0, 0, -10, -88, 0, -76, -34, 0, -4, -26, 0, 0, -6, 0, 11, -114, 0, 22, -20, 0, 90, -90, 0, 3, -42, 0, 6, 68, 0, 20, -4, 0, 7, 0, 0, 108, -36, 0, -66, -20, 0, 56, -10, 0, 0, 63, 0, 20, -3, 0, 42, 21, 0, -77, -55, 0, 42, 43, 0, -8, 30, 0, 30, -154, 0, 30, 0, 0, 30, -8, 0, 30, 3, 0, 42, -96, 0, 0, -45, 0, 29, 50, 0, 76, 27, 0, -10, -28, 0, 77, -36, 0, 14, -12, 0, -48, 3, 0, -10, 0, 0, -17, 133, 0, -14, 8, 0, -15, 10, 0, 0, 30, 0, -63, -23, 0, -54, 36, 0, 76, -24, 0, 50, -26, 0, 126, -16, 0, -7, -51, 0, -62, 0, 0, -26, 30, 0, 1, -52, 0, 33, 7, 0, 0, 9, 0, 60, -6, 0, 10, -87, 0, -12, -160, 0, -64, -4, 0, -47, -32, 0, 21, -26, 0, 18, 0, 0, -14, 0, 0, -3, -82, 0, -83, -23, 0, 0, 5, 0, -36, 84, 0, 49, 4, 0, 6, 2, 0, -10, -75, 0, 6, -18, 0, -20, 60, 0, -54, 0, 0, -12, -30, 0, 60, 35, 0, -14, 10, 0, 0, 72, 0, 18, 51, 0, 90, 6, 0, 28, -49, 0, 8, 35, 0, -35, -21, 0, -40, 54, 0, -20, 0, 0, 16, 26, 0, -80, 30, 0, 2, 6, 0, 0, -68, 0, 105, 60, 0, 28, 42, 0, 46, 12, 0, 22, 56, 0, -17, 112, 0, -72, -16, 0, 64, 0, 0, -6, -78, 0, -26, -69, 0, -46, -10, 0, 0, -15, 0, 20, 52, 0, 10, -11, 0, -36, 90, 0, -56, 33, 0, 24, 68, 0, 94, -24, 0, 19, 0, 0, -6, 45, 0, 46, -7, 0, -28, 42, 0, 0, 69, 0, -8, -4, 0, -4, 6, 0, -12, 36, 0, 6, -7, 0, 56, 3, 0, -29, -40, 0, 11, 0, 0, 42, 75, 0, 42, -35, 0, -1, 30, 0, 0, -25, 0, -22, -6, 0, 64, -10, 0, -15, -30, 0, 36, 20, 0, -78, -86, 0, -33, 12, 0, -98, 0, 0, 18, 2, 0, 15, -6, 0, 18, 9, 0, 0, 126, 0, -43, -20, 0, -4, 11, 0, 0, -29, 0, -40, 15, 0, -28, 54, 0, 2, 133, 0, 54, 0, 0, 33, -54, 0, -70, 48, 0, 63, -36, 0, 0, -2, 0, 66, -42, 0, -83, 49, 0, 6, -47, 0, 36, 90, 0, 7, -64, 0, -30, 20, 0, 15, 0, 0, 6, 40, 0, -42, -48, 0, -5, 51, 0, 0, -13, 0, 5, -10, 0, -9, 60, 0, -4, -15, 0, -36, -108, 0, -12, 30, 0, -62, 40, 0, -48, 0, 0, 16, 111, 0, 64, -45, 0, 24, 6, 0, 0, 24, 0, -23, 26, 0, -168, 28, 0, -38, -30, 0, 48, 3, 0, 14, -55, 0, 50, -35, 0, 60, 0, 0, 10, -4, 0, 90, 32, 0, -2, 18, 0, 0, -54, 0, -14, -81, 0, 1, -16, 0, 126, 30, 0, 63, -30, 0, -30, -10, 0, 12, 60, 0, -15, 0, 0, -24, -14, 0, 49, -8, 0, 30, 99, 0, 0, -3, 0, 45, 38, 0, -21, -18, 0, 15, -102, 0, -4, -6, 0, 46, -12, 0, -91, 50, 0, -63, 0, 0, 28, 18, 0, 51, 112, 0, 10, -84, 0, 0, 50, 0, -30, -14, 0, 12, -58, 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.c", "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], [3], [0], [1], [3], [0], [-3], [0], [0], [7], [-1], [0], [-1], [-3], [0], [-2], [-3], [0], [0], [4], [0], [4], [-7], [0], [-1], [-7], [0], [-10], [-5], [0], [3], [3], [0], [1], [2], [0], [9], [5], [0], [6], [0], [0], [-4], [6], [0], [1], [-4], [0], [-7], [5], [0], [0], [3], [0], [7], [6], [0], [10], [10], [0], [7], [21], [0], [-8], [3], [0], [-3], [10], [0], [10], [-1], [0], [2], [0], [0], [-2], [-3], [0], [-5], [16], [0], [-9], [-6], [0], [0], [-3], [0], [7], [-4], [0], [-6], [-6], [0], [-19], [-1], [0], [-4]]}