# Stored data for newform 7623.2.a.bu, downloaded from the LMFDB on 19 April 2024.
{"label": "7623.2.a.bu", "space_label": "7623.2.a", "level": 7623, "weight": 2, "hecke_orbit": 47, "hecke_orbit_code": 207165582892604871, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 462072675505435752, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1]], [5, [-11, 1, 1]], [13, [-4, -2, 1]]], "qexp_display": "q+q^{2}-q^{4}+(-2+3\\beta )q^{5}+q^{7}-3q^{8}+\\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": 10, "field_poly_is_real_cyclotomic": true, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [7623, 1, [848, 4357, 4600], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [3, 7, 11], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.886", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.150", "prec": 17}, {"__RealLiteral__": 0, "data": "0.145", "prec": 17}, {"__RealLiteral__": 0, "data": "63.668", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1], [11, 1]], "trace_display": [2, 0, -1, 2], "traces": [0, 2, 2, 0, -2, -1, 0, 2, -6, 0, -1, 0, 0, 2, 2, 0, -2, -9, 0, 3, 1, 0, 0, -5, 0, 13, 2, 0, -2, 4, 0, 1, 10, 0, -9, -1, 0, -13, 3, 0, 3, 15, 0, 2, 0, 0, -5, -4, 0, 2, 13, 0, -2, -2, 0, 0, -6, 0, 4, -18, 0, 0, 1, 0, 14, -16, 0, 16, 9, 0, -1, 0, 0, -6, -13, 0, -3, 0, 0, -28, 1, 0, 15, 12, 0, -18, 2, 0, 0, 9, 0, 2, 5, 0, -4, 6, 0, -16, 2, 0, -13, -7, 0, -5, -6, 0, -2, -21, 0, 1, 0, 0, -2, -6, 0, 40, -4, 0, -18, -9, 0, 0, 0, 0, -1, -24, 0, -2, -6, 0, -16, -18, 0, 3, 16, 0, 27, -18, 0, -15, 1, 0, 0, 0, 0, -2, -6, 0, 13, 40, 0, -4, -9, 0, 0, -53, 0, 6, -28, 0, -5, -5, 0, 16, -15, 0, 12, 6, 0, -14, -18, 0, -2, -33, 0, 13, 0, 0, 9, -19, 0, -20, 2, 0, 15, -31, 0, 0, 4, 0, 6, 3, 0, 39, -16, 0, -2, -8, 0, -3, -39, 0, -7, 4, 0, 15, -5, 0, -2, 0, 0, -4, 2, 0, -21, -16, 0, 1, 1, 0, 0, 6, 0, 17, 10, 0, -6, -16, 0, 38, 40, 0, -12, -2, 0, 2, 18, 0, -9, -17, 0, -8, 0, 0, 0, -1, 0, -2, -3, 0, -24, -26, 0, 0, -2, 0, -34, -3, 0, -13, 16, 0, -18, -25, 0, -74, 3, 0, -16, -20, 0, 37, 9, 0, -18, 0, 0, -41, -15, 0, 3, -20, 0, 47, 0, 0, 0, 15, 0, 29, -2, 0, 6, -15, 0, 24, 39, 0, 40, -30, 0, 2, -4, 0, -3, 60, 0, -15, 0, 0, -53, 6, 0, -42, 6, 0, 28, 6, 0, 0, -7, 0, -5, -21, 0, 28, 16, 0, -45, -4, 0, 16, -12, 0, 6, -8, 0, -61, -14, 0, 18, 0, 0, 2, -6, 0, -33, 27, 0, 50, 13, 0, 0, -16, 0, -60, -9, 0, -19, 15, 0, -31, -20, 0, -2, -12, 0, -1, 5, 0, -31, -2, 0, -31, 0, 0, 12, 4, 0, -4, -6, 0, 3, 44, 0, 0, 39, 0, 16, -22, 0, -15, -6, 0, -8, 14, 0, -2, -3, 0, -13, -28, 0, 36, 7, 0, 4, 0, 0, 62, 15, 0, 5, -18, 0, -66, 10, 0, 0, -34, 0, 7, -4, 0, 6, -36, 0, 0, 21, 0, -16, -7, 0, -30, 1, 0, -1, 5, 0, -19, 0, 0, 6, -21, 0, -42, 17, 0, 14, -48, 0, 0, 6, 0, -16, -16, 0, 16, 38, 0, -40, -32, 0, -4, -4, 0, -2, -34, 0, 16, 2, 0, 54, 0, 0, 12, 9, 0, -17, 40, 0, 12, -8, 0, 0, 38, 0, -74, 0, 0, -1, -15, 0, -18, -2, 0, -1, 0, 0, 30, 24, 0, -26, 28, 0, 41, 0, 0, 2, 23, 0, -6, -22, 0, -3, -50, 0, 0, -13, 0, 48, 21, 0, 17, 18, 0, -25, 48, 0, 29, -74, 0, -3, 0, 0, 48, -48, 0, -20, 0, 0, 27, 37, 0, -45, 67, 0, -64, 18, 0, 0, 6, 0, -28, -41, 0, 15, 16, 0, 12, 1, 0, -20, -36, 0, 18, 47, 0, 0, 14, 0, -10, 0, 0, 15, -70, 0, 2, 29, 0, 2, 12, 0, 0, 18, 0, -15, 28, 0, -16, 24, 0, 13, -27, 0, -18, -40, 0, -30, -17, 0, 12, 2, 0, 4, 0, 0, -5, 15, 0, 60, -4, 0, -5, -15, 0, 0, -58, 0, 15, 53, 0, 6, 9, 0, -8, -42, 0, -6, 96, 0, 24, 84, 0, 6, -14, 0, 2, 0, 0, 3, 14, 0, 31, 5, 0, -21, 16, 0, 0, 28, 0, -16, 16, 0, 54, -15, 0, -4, 41, 0, 30, 16, 0, -36, 6, 0, -10, -6, 0, -8, 0, 0, 36, -61, 0, 14, -12, 0, -16, 54, 0, 0, -17, 0, 24, 2, 0, -2, 48, 0, 15, 33, 0, 27, 90, 0, -90, 50, 0, -13, 10, 0, -32, 0, 0, -16, -7, 0, 21, -60, 0, -27, -90, 0, 0, 19, 0, 15, -50, 0, -5, -31, 0, 20, 26, 0, 9, -6, 0, -12, 6, 0, 22, -1, 0, -25, 0, 0, 22, 31, 0, -2, -19, 0, -20, -31, 0, 0, -21, 0, -12, 4, 0, 4, 2, 0, -15, -4, 0, -18, -20, 0, 1, -3, 0, 44, -28, 0, 56, 0, 0, -39, 60, 0, 59, 48, 0, -22, 30, 0, 0, -15, 0, -2, 42, 0, -9, 8, 0, 14, -6, 0, -40, -2, 0, 3, 13, 0, 18, 65, 0, -28, 0, 0, 40, 36, 0, 21, 26, 0, 12, -4, 0, 0, -98, 0, -2, 62, 0, -15, -16, 0, 40, 15, 0, -18, -7, 0, 40, -66, 0, 14, -9, 0, -78, 0, 0, -34, -40, 0, -50, 7, 0, 4, -23, 0, 0, 2, 0, -36, -30, 0, -18, 0, 0, 63, 20, 0, 24, 16, 0, -7, -15, 0, -6, -30, 0, -1, 0, 0, 16, -3, 0, 5, -24, 0, -48, -19, 0, 0, 11, 0, 2, -6, 0, -21, 26, 0, -2, -42, 0, -17, -6, 0, 17, -6, 0, -48, 2, 0, 84, 0, 0, 18, -50, 0, -90, 16, 0, -16, 40, 0, 0, 16, 0, -38, -18, 0, -12, -120, 0, -32, 40, 0, -47, -4, 0, 20, 33, 0, 3, 2, 0, -34, 0, 0, 10, 16, 0, -2, 17, 0, 0, 18, 0, 0, 67, 0, 4, 12, 0, 27, 44, 0, 111, 17, 0, 40, -18, 0, 61, 12, 0, 8, -27, 0, 36, 0, 0, 38, -26, 0, -15, -74, 0, 0, 80, 0, 0, 1, 0, -15, -88, 0, 4, -18, 0, 2, -30, 0, 6, 5, 0, 0, -6, 0, -38, 30, 0, 72, 0, 0, 66, 26, 0, 28, -28, 0, 0, 41, 0, 0, 35, 0, -2, 6, 0, 23, 1, 0, -68, -6, 0, 46, 75, 0, -28, 3, 0, -50, -45, 0, 67, 0, 0, 13, -60, 0, 60, 16, 0, 21, 40, 0, 0, 17, 0, 54, 5, 0, -4, 25, 0, 48, 2, 0, -4, 29, 0, 74, 16, 0, 36, -9, 0, 0, 0, 0, -4, 48, 0, -16, -26, 0, 28, 20, 0, 0, 52, 0, 10, 27, 0, -37, -53, 0, -2, -63, 0, 67, 10, 0, 21, -64, 0, 54, 1, 0, 6, 0, 0, 6, 17, 0, 42, -28, 0, 41, 27, 0, 0, 45, 0, 16, 74, 0, -69, 12, 0, -5, -22, 0, 43, 20, 0, -36, -5, 0, -37, 18, 0, -47, 0, 0, -82, 0, 0, 14, -72, 0, 16, -10, 0, 0, -4, 0, 81, -15, 0, -70, 44, 0, -42, 2, 0, -29, 34, 0, 20, 6, 0, 12, 59, 0, 46, 0, 0, 6, 6, 0, 54, 15, 0, 28, -26, 0, 0, -16, 0, -24, -47, 0, -14, -65, 0, -27, -11, 0, 30, -18, 0, -120, -60, 0, 76, 30, 0, -17, 0, 0, -27, 12, 0, -2, 64, 0, 60, 12, 0, 0, -33, 0, -23, -5, 0, 21, 72, 0, -120, -60, 0, -4, 0, 0, 13, -5, 0, 15, 12, 0, 33, 0, 0, -58, -14, 0, 26, 15, 0, 159, 42, 0, 0, -6, 0, 9, 4, 0, 14, -8, 0, 42, -19, 0, -62, -18, 0, 96, -56, 0, -36, 24, 0, 28, 0, 0, -20, -6, 0, -14, -45, 0, 24, 2, 0, 0, 37, 0, 12, 17, 0, 14, 80, 0, -6, 31, 0, 15, -6, 0, 31, 21, 0, 16, -31, 0, -103, 0, 0, -28, 45, 0, -14, -48, 0, 16, -24, 0, 0, 54, 0, 75, -32, 0, 80, 4, 0, 41, 8, 0, -10, 30, 0, -16, 62, 0, -34, -12, 0, 6, 0, 0, 36, -10, 0, -18, 3, 0, 30, 8, 0, 0, 126, 0, -110, 36, 0, 61, -20, 0, 39, 42, 0, -12, 19, 0, 70, -16, 0, 18, -20, 0, -8, 0, 0, -17, -11, 0, 73, 24, 0, -2, -82, 0, 0, 10, 0, 48, -8, 0, -71, 15, 0, 99, 88, 0, -14, -27, 0, 90, -46, 0, -3, -90, 0, -50, 0, 0, -3, -39, 0, 10, 100, 0, 70, -32, 0, 0, -88, 0, 6, 16, 0, -7, -91, 0, -44, 21, 0, 60, 4, 0, 66, -9, 0, -90, 38, 0, 3, 0, 0, 57, 11, 0, 15, -15, 0, -50, -43, 0, 0, -5, 0, 31, 188, 0, 37, 60, 0, 26, -24, 0, -7, 9, 0, -2, -2, 0, 8, 12, 0, 6, 0, 0, -75, 22, 0, 1, -16, 0, 10, -35, 0, 0, -132, 0, -4, 22, 0, 93, -88, 0, -17, 2, 0, -19, 20, 0, -48, -20, 0, 31, 24, 0, 90, 0, 0, -21, -69, 0, -42, -12, 0, -20, -16, 0, 0, -4, 0, 2, -76, 0, -3, -15, 0, 4, -135, 0, 1, -6, 0, -20, 8, 0, -60, 1, 0, -9, 0, 0, 67, -44, 0, -28, -105, 0, -4, 56, 0, 0, -40, 0, 15, -117, 0, 60, 6, 0, -67, 59, 0, 16, -9, 0, -18, 22, 0, 30, 4, 0, 17, 0, 0, 15, 96, 0, -61, 10, 0, 42, 16, 0, 0, -9, 0, 24, -2, 0, 2, -14, 0, -6, -28, 0, 162, -40, 0, 2, -16, 0, 12, 9, 0, 13, 0, 0, -65, 18, 0, 91, -15, 0, 38, 28, 0, 0, 64, 0, 18, 40, 0, -36, -43, 0, -57, 7, 0, 26, 83, 0, 69, 12, 0, -12, -54, 0, -96, 0, 0, -98, -2, 0, -100, -2, 0, -62, -4, 0, 0, -45, 0, -16, 174, 0, 2, 40, 0, 5, 42, 0, 8, 18, 0, -7, 142, 0, -84, 40, 0, 66, 0, 0, 36, -6, 0, -9, -83, 0, -6, -78, 0, 0, -17, 0, 104, 34, 0, -40, -10, 0, 53, -50, 0, -7, 53, 0, -8, 12, 0, -23, 1, 0, -78, 0, 0, -10, -9, 0, 3, 36, 0, -30, -48, 0, 0, -18, 0, 0, 42, 0, -36, 21, 0, 20, -1, 0, -6, 24, 0, 48, -48, 0, 28, 7, 0, -15, 0, 0, -2, -6, 0, 30, 34, 0, -21, -3, 0, 0, 26, 0, -64, 16, 0, -1, -40, 0, -56, -5, 0, -24, 75, 0, -16, -48, 0, 19, -26, 0, 26, 0, 0, 11, 0, 0, -22, 2, 0, -18, 0, 0, 0, 21, 0, 26, 60, 0, -30, -2, 0, 42, -28, 0, -33, -51, 0, -6, -59, 0, -75, 17, 0, -34, 0, 0, -105, 48, 0, 2, -3, 0, -33, 84, 0, 0, 38, 0, -70, 6, 0, -50, -50, 0, -13, -90, 0, 48, 70, 0, 57, 16, 0, 40, 76, 0, -24, 0, 0, -16, -44, 0, 4, -114, 0, -18, 113, 0, 0, -12, 0, -40, -25, 0, -14, 32, 0, 40, -4, 0, -74, -47, 0, 4, -72, 0, -74, 28, 0, 33, 0, 0, 52, 3, 0, 6, -37, 0, -35, 34, 0, 0, -25, 0, 69, 10, 0, -16, -20, 0, 51, -6, 0, 17, -20, 0, -32, 0, 0, -90, 59, 0, -140, 0, 0, 67, 32, 0, 37, 4, 0, -12, 80, 0, 0, 9, 0, 44, -16, 0, -130, 111, 0, 51, 34, 0, -82, -40, 0, -18, 2, 0, 12, 61, 0, -12, 0, 0, -30, 24, 0, -27, 6, 0, -43, 36, 0, 0, 40, 0, -41, -38, 0, -26, 32, 0, -64, -15, 0, 74, -131, 0, -71, 0, 0, 80, -105, 0, -25, 0, 0, 3, 138, 0, -4, 15, 0, -88, -20, 0, 0, 4, 0, 18, -115, 0, -182, 6, 0, -30, 72, 0, 47, 6, 0, 7, 106, 0, 59, 0, 0, -6, 0, 0, 10, -38, 0, -30, -34, 0, -60, 24, 0, 0, -11, 0, -16, 66, 0, 78, 15, 0, 90, -28, 0, -28, -78, 0, -161, 0, 0, -41, -4, 0, 29, 0, 0, 35, 0, 0, 0, -2, 0, 2, -19, 0, 0, -23, 0, 1, 25, 0, -24, -68, 0, 6, -46, 0, -85, 90, 0, 75, -15, 0, -15, -28, 0, 9, 0, 0, 0, 50, 0, -45, -56, 0, 24, 67, 0, 0, -72, 0, 24, 39, 0, -60, 138, 0, 8, 60, 0, -80, -34, 0, -118, -21, 0, 40, -61, 0, 36, 0, 0, -17, -30, 0, 32, 18, 0, 5, -90, 0, 0, -4, 0, 75, -56, 0, 2, -48, 0, 2, -60, 0, -36, -4, 0, -29, -12, 0, 76, 222, 0, 16, 0, 0, 63, 36, 0, -3, -30, 0, -75, 0, 0, 0, 60, 0, -47, -4, 0, -48, 27, 0, 114, 80, 0, -26, -4, 0, -15, 28, 0, 60, 62, 0, 41, 0, 0, 52, 24, 0, 6, 10, 0, -27, 0, 0, 0, -111, 0, -53, 56, 0, -90, -2, 0, 27, 6, 0, -50, -67, 0, 10, 92, 0, 35, 21, 0, 64, 0, 0, -42, 18, 0, 1, -73, 0, -20, 6, 0, 0, 140, 0, 97, -6, 0, 17, -81, 0, -86, 42, 0, 28, 4, 0, 48, 123, 0, 27, 6, 0, -16, 0, 0, 15, 96, 0, 36, -16, 0, 74, 90, 0, 0, -69, 0, -12, 64, 0, 87, -7, 0, -22, 0, 0, -96, 43, 0, 60, -18, 0, -82, 36, 0, -5, 0, 0, -100, -37, 0, -18, -21, 0, 32, -141, 0, 0, -10, 0, -9, -82, 0, 0, 53, 0, 28, -14, 0, -72, 48, 0, -98, 16, 0, 10, 22, 0, 19, 0, 0, -4, -56, 0, 93, 81, 0, -45, 166, 0, 0, 70, 0, 44, -4, 0, 166, -42, 0, -2, -11, 0, 96, -87, 0, 34, 92, 0, 16, 20, 0, 2, 0, 0, 80, -12, 0, 59, -24, 0, 66, 46, 0, 0, -2, 0, 2, -30, 0, 6, 83, 0, 8, 54, 0, 45, -8, 0, 44, -28, 0, -26, -80, 0, 20, 0, 0, 16, -21, 0, -61, -72, 0, -47, -15, 0, 0, -14, 0, -91, -75, 0, -15, 27, 0, -11, -21, 0, -123, 30, 0, 18, 58, 0, 123, -40, 0, -60, 0, 0, 93, 76, 0, 90, 111, 0, -80, 17, 0, 0, 38, 0, 2, -27, 0, -12, 54, 0, 24, -6, 0, 64, 136, 0, -8, 60, 0, 4, -114, 0, -120, 0, 0, -33, 60, 0, -134, -23, 0, 5, 27, 0, 0, -9, 0, 72, 22, 0, -23, -120, 0, -180, -103, 0, 50, 4, 0, 0, 29, 0, -14, 13, 0, 5, 0, 0, 60, 45, 0, 12, 55, 0, 115, 33, 0, 0, -36, 0, 15, 58, 0, -14, -16, 0, 5, 26, 0, -15, 32, 0, -104, 53, 0, 42, -72, 0, -60, 0, 0, -18, -12, 0, 4, -9, 0, 4, 60, 0, 0, 14, 0, 8, 60, 0, -94, 126, 0, -19, 110, 0, 44, -62, 0, -6, 15, 0, -104, -96, 0, -56, 0, 0, 59, -36, 0, -24, -83, 0, -31, -140, 0, 0, 25, 0, -180, -20, 0, -18, -28, 0, 121, 14, 0, -45, -93, 0, -49, 24, 0, -2, -64, 0, -29, 0, 0, 37, -12, 0, 4, 12, 0, 11, -8, 0, 0, -14, 0, 80, 18, 0, -1, -6, 0, -31, 146, 0, 20, 5, 0, -6, 50, 0, 18, 31, 0, 63, 0, 0, 2, -16, 0, -31, 81, 0, -6, -103, 0, 0, -2, 0, 40, -84, 0, 45, -22, 0, -3, -14, 0, -16, -35, 0, -31, -16, 0, -24, -46, 0, -68, 0, 0, -54, -29, 0, -40, 105, 0, -32, 100, 0, 0, 80, 0, 12, -2, 0, 201, -41, 0, 8, 4, 0, 5, -10, 0, -30, -202, 0, -58, -48, 0, 62, 0, 0, -4, -34, 0, 60, -64, 0, -25, -6, 0, 0, 158, 0, -90, 36, 0, 10, -72, 0, 32, -6, 0, 3, -174, 0, -104, 30, 0, 24, 44, 0, 78, 0, 0, 126, 132, 0, -153, -110, 0, -36, -39, 0, 0, 183, 0, -20, -25, 0, 64, 39, 0, 14, 9, 0, -41, 12, 0, 19, 17, 0, 27, 70, 0, 16, 0, 0, -93, -90, 0, -20, -22, 0, -61, -8, 0, 0, -31, 0, -14, 17, 0, -11, 2, 0, -15, 73, 0, -24, -64, 0, -4, -6, 0, -82, 120, 0, -60, 0, 0, 14, 66, 0, 12, -48, 0, -8, 92, 0, 0, -71, 0, -15, 14, 0, 184, 33, 0, 88, 18, 0, 36, -14, 0, -81, 11, 0, -2, -90, 0, -46, 0, 0, 82, -3, 0, 90, 77, 0, 3, -150, 0, 0, -36, 0, -16, -3, 0, -13, -108, 0, -95, -10, 0, 100, -28, 0, 146, 70, 0, 32, -32, 0, -132, 0, 0, -88, -124, 0, 36, 6, 0, 48, -54, 0, 0, 7, 0, -91, 60, 0, 82, -44, 0, -21, -164, 0, 48, 180, 0, 4, 15, 0, 68, 66, 0, 45, 0, 0, 108, 90, 0, 38, 230, 0, -73, 3, 0, 0, 33, 0, 62, 19, 0, 11, 0, 0, -6, 15, 0, -45, 93, 0, 135, 50, 0, -43, -47, 0, 16, 0, 0, 5, -106, 0, -43, 93, 0, 188, -18, 0, 0, 37, 0, 20, 84, 0, -38, -26, 0, -24, 108, 0, -66, -7, 0, -9, -34, 0, -60, 10, 0, -2, 0, 0, 36, 8, 0, 36, -20, 0, 182, -6, 0, 0, -71, 0, -14, -75, 0, -22, -34, 0, -134, 3, 0, -16, -88, 0, 171, 10, 0, 15, -67, 0, 7, 0, 0, -132, 44, 0, -12, -4, 0, -22, -85, 0, 0, 31, 0, -88, -59, 0, 81, -17, 0, 6, -52, 0, -31, 19, 0, 20, -36, 0, 28, -48, 0, 20, 0, 0, 24, 93, 0, 24, -10, 0, 0, 90, 0, 0, -60, 0, 76, 21, 0, -69, 4, 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": "231.2.j.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, 0], [1, 0], [1, 0], [0, 0], [-1, 0], [-2, 3], [0, 0], [1, 0], [-3, 0], [0, 0], [-2, 3], [0, 0], [0, 0], [2, -2], [1, 0], [0, 0], [-1, 0], [-3, -3], [0, 0], [1, 1], [2, -3], [0, 0], [0, 0], [-5, 5], [0, 0], [8, -3], [2, -2], [0, 0], [-1, 0], [2, 0], [0, 0], [4, -7], [5, 0], [0, 0], [-3, -3], [-2, 3], [0, 0], [-4, -5], [1, 1], [0, 0], [6, -9], [6, 3], [0, 0], [2, -2], [0, 0], [0, 0], [-5, 5], [-2, 0], [0, 0], [1, 0], [8, -3], [0, 0], [-2, 2], [4, -10], [0, 0], [0, 0], [-3, 0], [0, 0], [2, 0], [-10, 2], [0, 0], [-4, 8], [4, -7], [0, 0], [7, 0], [-10, 4], [0, 0], [8, 0], [3, 3], [0, 0], [-2, 3], [4, -8], [0, 0], [-2, -2], [-4, -5], [0, 0], [-1, -1], [0, 0], [0, 0], [-14, 0], [2, -3], [0, 0], [6, 3], [10, -8], [0, 0], [-3, -12], [2, -2], [0, 0], [0, 0], [7, -5], [0, 0], [2, -2], [5, -5], [0, 0], [-2, 0], [1, 4], [0, 0], [-10, 4], [1, 0], [0, 0], [-8, 3]]}