# Stored data for newform 2541.2.a.r, downloaded from the LMFDB on 16 April 2024.
{"label": "2541.2.a.r", "space_label": "2541.2.a", "level": 2541, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698855405, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1960713385301792106, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, 1, 1]], [5, [-1, 4, 1]], [13, [11, 8, 1]]], "qexp_display": "q-\\beta q^{2}+q^{3}+(-1+\\beta )q^{4}+(-1-2\\beta )q^{5}+\\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": 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": "0.026", "prec": 17}, "analytic_rank_proved": true, "char_values": [2541, 1, [848, 1816, 2059], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "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": "1.896", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.062", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "61.143", "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": [-1, 2, -4, 2], "traces": [0, 2, -1, 2, -1, -4, -1, 2, 0, 2, 7, 0, -1, -8, -1, -4, -3, 0, -1, -6, -3, 2, 0, 8, 0, 8, 9, 2, -1, 6, 7, 0, 9, 0, -10, -4, -1, -2, 3, -8, -10, -12, -1, -4, 0, -4, -14, -6, -3, 2, -24, 0, -1, 0, -1, 0, 0, -6, -3, 6, -3, -16, 0, 2, 4, 26, 0, -4, 10, 8, 7, 12, 0, -20, -9, 8, 3, 0, 9, 0, 21, 2, -4, -12, -1, -20, 22, 6, 0, 0, 7, -8, 6, 0, 3, 12, 9, 4, -1, 0, 16, 16, -10, 4, -10, -4, -20, -24, -1, 0, 0, -2, -3, -4, 3, -36, -3, -8, 7, 0, -10, 0, -2, -12, 0, -36, -1, -4, -25, -4, -43, 4, 0, -6, 17, -4, 20, -12, -14, -16, -3, -6, 4, 0, -3, -12, 15, 2, 11, -18, -24, -8, 0, 0, 0, 0, -1, 0, -30, 0, -13, 8, -1, 28, 16, 0, 6, -20, 0, 16, 30, -6, -18, -24, -3, 8, 0, 6, 10, -24, -3, 20, 9, -16, 20, -16, 0, 0, 3, 2, -21, -12, 4, -24, -2, 26, -1, 20, 0, -16, 40, -4, -28, 6, 10, 4, -12, 8, 27, 0, 7, -24, 20, 12, 7, 48, 0, 0, 0, -20, 0, -20, -9, 12, 9, 8, 12, 40, 3, -40, 58, 0, 0, -4, 9, 12, -13, 0, -10, -12, 21, -12, 0, 2, 18, -4, -4, 24, 0, -12, 53, -6, -1, 0, 2, -20, 7, 32, 22, -2, 17, 6, 8, 4, 0, -40, 3, 0, -13, -48, 7, -2, -30, -8, -14, 0, 6, 16, -12, 0, -10, -6, 3, 2, -16, 12, 0, -12, 9, 6, 21, 4, 5, 16, -1, 8, 20, 0, 29, -52, 16, -4, 34, 16, 9, 12, -10, -16, 0, 4, 0, 0, -10, -32, 30, -4, 30, 52, -20, 0, -18, -24, -14, 0, -1, -72, 1, 0, 20, -6, 0, 48, 6, -2, 30, 38, -3, 4, -48, -4, -10, 0, 3, 2, -40, -36, 2, 24, -3, 32, -24, -8, 0, 16, 7, -4, -10, 0, 22, 56, -10, -20, 20, 0, -1, 50, -2, 8, -42, -12, 23, 0, 0, -32, 0, -36, 0, -24, -1, -4, 9, -4, -14, -8, -25, 0, 12, -4, -2, 12, -43, 40, 0, 4, 10, -60, 0, 16, 18, -6, -72, 24, 17, 0, 12, -4, -3, 0, 20, -32, -12, -12, 8, 6, -14, 24, -31, -16, 0, 58, -3, -6, -18, -6, 40, 80, 4, -16, 17, 0, -74, -12, -3, -8, 0, -12, 0, -24, 15, -26, 0, 2, 50, 20, 11, 20, -6, -18, 4, 48, -24, 0, -8, -8, -10, 26, 0, -52, 30, 0, -22, -36, 0, -24, -9, 0, 42, 22, -1, -4, -21, 0, -20, 0, -30, -24, 10, 0, 21, 48, -13, -12, 21, 8, 0, -8, -1, -8, 20, 28, 7, 8, 16, 0, -27, 0, 0, 12, 6, -60, -17, -20, 33, 12, 0, -72, 0, 16, 2, 8, 30, -20, 24, -6, 19, -28, -18, 0, -9, -24, 60, 24, -3, 6, -12, 8, 3, 0, 0, 26, 60, 6, 3, 28, 10, 38, -30, -24, 14, 0, -3, -4, -9, 20, -10, 0, 9, -20, 26, -16, 0, -18, 20, 0, -18, -16, 28, 78, 0, 56, 21, 0, 33, -4, 3, 28, -41, 2, -20, 52, -21, -28, 0, -12, -4, 112, 4, -48, -3, -24, -9, -12, -2, 0, -10, 26, 32, -46, -1, 0, -9, 20, -27, -12, 0, -20, -11, -16, 86, -24, 40, 4, 22, -4, -26, 0, -28, 6, -27, 6, -26, 24, 10, 44, 28, 4, 0, -24, -12, 12, 0, 8, 40, 0, 27, 102, 26, 0, -30, 40, 7, -24, 60, -24, -36, 8, 20, -8, 0, 12, 55, -24, 7, 24, 6, 48, 30, -26, 0, 0, 136, 0, -29, -72, 0, 12, -12, -20, 3, -56, 0, 8, -24, -20, 0, 12, -9, 24, -10, 12, -59, 0, 9, -4, 58, 8, 32, -12, 12, 4, -40, 40, 0, -28, 3, -16, -1, -40, 66, -40, 58, -64, 22, 0, 8, -8, 0, 40, -31, -4, 16, 4, 9, 6, 0, 12, -63, 16, -13, 50, 12, 0, -20, 0, -10, 0, 2, -12, -8, 22, 21, 4, 10, -12, -40, 24, 0, 36, -10, 2, -85, -80, 18, -40, 56, -4, 26, 0, -4, -40, -7, 24, -20, 36, 0, 76, -14, -12, 0, -24, 53, -32, 9, -6, 27, 76, -1, 22, 7, 0, 30, 32, 2, 0, 26, -20, -36, -4, 7, -12, 0, 32, 12, -36, 22, 0, 0, -2, -56, 36, 17, 0, -60, 6, -3, 60, 8, 54, -30, 4, 90, -4, 0, 44, -18, -40, -2, -52, 3, 0, 16, 0, 38, 0, -13, -36, 0, -48, 40, 18, 7, -58, -3, -2, 0, -26, -30, 12, -14, -8, 8, 18, -14, -8, 20, 0, 7, 0, 6, -24, -42, 16, -26, 0, -12, 80, 0, 0, -19, -30, -10, -40, 33, -6, 42, -112, 3, 0, -60, 2, -80, 32, -16, -72, -2, 12, 10, 48, 0, 4, 26, -12, -49, 60, 9, 28, -26, 6, 0, 0, 21, 46, 0, 4, 42, -36, 5, -48, -37, 16, 0, 32, -1, 68, -30, 8, 30, 12, 20, -4, -30, 0, -6, 18, 29, 68, -25, -52, -34, 0, 16, 80, 0, -4, -20, 20, 34, -24, -30, 16, -43, 20, 9, 0, 26, 12, 10, 4, -10, 64, -80, -16, 38, -28, 0, 72, 57, 4, 27, 0, 0, -6, -38, 0, -21, 0, -10, 32, 17, -32, 9, 0, 30, -8, 21, -4, 0, -72, 30, 90, 72, 52, 20, -22, -20, -16, -9, 0, -34, -12, -18, -62, 41, -24, -9, 48, -14, 68, 0, 0, 14, -38, -1, -16, -36, -72, -6, 44, 1, 0, -3, 0, 51, 48, 20, 0, -30, -6, 3, -96, 0, -104, 0, 48, 4, 52, 6, 48, 15, -2, -70, 0, 30, -40, -27, 38, -36, 0, -3, 40, 116, 4, 0, -28, -48, -12, 0, -4, -54, -8, -10, 32, 15, 0, -11, 32, 3, -60, -51, 2, 44, 24, -40, -48, 0, -36, 11, 40, 2, -20, -129, 24, -17, -18, -3, 0, -3, 32, -20, -72, -24, -80, -7, -8, 0, -12, 0, -8, -93, 16, -20, -24, 7, -30, 0, -4, -4, 0, -10, 56, -69, 0, 51, -6, 22, -176, 34, 56, 0, 48, -10, -24, 32, -20, 11, 0, 20, -40, 20, 0, 0, -36, -1, 20, 70, 50, 40, 36, -2, 0, 0, 8, 9, -24, -42, 120, -30, -12, 2, -84, 23, 0, 40, 0, -39, -24, 0, -24, -118, -32, -13, -18, 0, 8, -27, -36, -8, 8, 0, -52, -44, -24, 39, 0, -1, -60, 12, -4, 14, -60, 9, 28, 34, -4, 0, 100, -14, 0, 16, -8, -176, -76, -25, -112, 24, 0, -3, 20, 12, 48, -30, -4, 6, -16, -2, 88, 0, 12, 45, -20, -43, -4, -48, 40, -27, -24, 0, 0, 0, 4, 1, 52, 10, 16, -19, -60, -74, 24, 0, -36, 30, 16, -40, -8, 18, 54, -34, -6, -18, 0, -72, -12, 23, 24, -18, 54, 17, -40, -60, 0, 0, -24, 12, -60, -93, -4, -12, 24, -3, 80, 14, 0, -27, -96, 20, 8, -12, -32, -12, 12, -12, 106, 0, -12, 52, -78, 8, -16, -96, 6, 0, -20, -14, 0, -40, 24, 10, -12, -31, -68, -111, -16, 6, -24, 0, 72, -60, 58, -10, -48, -3, -16, 12, -6, -90, 0, -18, 20, -16, -6, -14, 0, 40, 12, 9, 80, 0, 24, 4, -12, -59, -16, 72, 8, 17, 6, 18, 0, 20, 20, -74, 48, -30, -12, -27, -16, -3, 68, 0, -8, -64, -4, 0, -8, -30, -12, 56, 0, 0, 0, -16, -24, -64, -104, 15, 2, 3, -26, 23, -60, 0, -32, -64, 2, -24, 160, 50, -28, 18, 20, -21, 0, 11, 0, -42, 20, -40, -12, -6, -36, 21, -18, 0, 120, 4, 76, 72, 48, -62, -36, -24, -24, 80, 0, 56, -16, -8, -16, -2, -8, 90, -16, -10, -18, 0, 26, 4, 24, 0, -32, 18, -52, -1, 60, 30, 0, 2, 0, 100, 20, -22, -60, 32, -36, 20, -52, 0, 60, -32, -24, 4, 86, -9, -16, 40, 0, -1, 0, 42, -86, 40, 22, 18, -24, -1, 72, 27, -4, 0, -16, -21, 0, 47, 0, -28, -84, -20, 0, 5, 0, -8, 6, -30, -32, 30, -24, 0, -60, 10, 60, 0, 0, -20, -24, 21, 4, -48, 48, 69, 48, -13, 0, -12, -12, 10, -12, 21, -30, -60, 8, -72, -96, 0, -44, -78, -8, 27, 0, -1, -10, 35, -8, 60, 0, 20, 48, 30, 28, -64, 36, 7, -20, 36, 8, 0, -56, 16, -24, 90, 0, -30, -94, -27, -16, 20, 0, -13, -100, 0, 28, -123, 12, 46, 22, 6, 224, 0, -60, 7, 40, -17, 0, 21, -20, -27, 48, 33, 0, -3, 12, -118, -94, 0, -40, -41, -72, -3, 52, 0, 0, -63, 16, 34, -72, 2, 16, 0, 8, 40, 0, 30, 32, 44, -20, -23, 72, 24, 0, -39, -6, 0, -76, 19, 76, 0, -28, 3, -20, -18, 68, 0, 0, -6, 32, -9, 80, 44, -24, 12, 52, 60, 12, 0, 24, 20, 84, -3, 64, 9, 6, -90, -58, -12, 0, -27, 8, -40, 36, 3, 68, -30, 0, 12, -4, 0, -124, -22, 26, 2, 40, 60, -76, -20, 6, 1, 0, 3, 16, 30, 28, 56, -60, 10, -40, -62, 38, 0, 16, -30, 16, 58, -24, 0, 12, 14, 60, -84, 0, -59, -72, -3, -10, 89, -4, 0, 214, -9, -2, 0, 20, 53, -4, -10, 8, -66, 0, 46, -36, 9, 0, 20, -20, -29, 0, 26, 12, 29, -16, -36, 0, 0, 16, -13, -18, -45, -96, 20, 28, 72, 0, 18, 0, -18, 56, 105, -16, -10, 0, 28, -8, -130, 78, 0, -12, 0, -136, -39, 56, -5, -100, 21, 30, 20, 0, -27, 112, 33, -12, 60, -4, 176, 0, 3, 16, 0, 28, -20, 0, -41, 68, 0, 2, -46, 4, -20, 0, 6, 52, 18, 0, -21, 18, 21, -28, -34, -4, 0, 80, -82, -12, 100, -72, -4, -104, 61, 112, 20, 0, 4, 24, -54, -48, 34, 108, -3, -8, 0, -24, 0, 6, -9, -40, -93, -12, 0, -94, -2, 76, -18, 0, 53, 40, -10, -56, -36, 26, 63, -6, 32, -68, 0, -46, 79, -56, -1, -142, -49, 0, -80, -48, -9, 0, -50, 20, 24, -32, -27, 60, 2, -12, 10, 8, 0, 60, 0, -20, -9, -24, -11, 20, -114, -16, 7, 0, 86, -72, -14, -24, 0, 32, 40, 108, -40, 4, 0, 40, 22, 24, 36, -4, -20, -84, -26, -2, 12, 0, -20, 120, -28, 20, 17, 6, 60, 64, -27, -120, 0, 6, 26, 0, -26, -80, -20, 24, 8, 104, 10, 0, -12, 44, 174, 4, 28, -12, -2, 4, 4, -24, 0, 82, -56, -24, -33, 0, -12, -40, 12, 12, 65, 0, 0, 72, 3, 8, -80, 4, 40, -166, -1, 0, 0, -84, 27, -10, -46, 102, -13, 36, 26, -40, 30, 0, -50, -48, -30, 78, 24, 40, 37, 132, 7, 0, 0, -24, 36, 18, 60, -2, -115, -24, -48, -16, -36, 0, -30, 8, -39, 72, 20, -48, 18, -8, -30, -14, 0, -64, -14, 12, -14, -48, 55, -40, 31, -24, -29, 0, 7, 36, -30, 24, -84, 28, 6, 28, -24, 48, 0, 112, 30, 16, -6, -26, 29, -12, 0, -124, -12, 0, 44, 52, 136, -104, -82, 0, -102, -160, -29, -12, 0, -72, -10, 80, 0, 92, -59, 12, -64, -6, -12, 0, 10, -20, 30, -112, 3, 240, 30, -56, 148, -128, 0, 2, 57, 8, 0, -52, -24, -14, -16, -20, -86, 0, 0, 12, 6, 12, 45, 74, -9, 60, 159, 24, 0, 20, -10, 52, -10, 12, -60, -12, -59, -68, 24, 0, 60, 0, 9, 14, -10, -4, -44, 12, 58, 6, 0, 8, 39, 4, 32, 60, 21, -12, 6, 72, 12, 0, 46, 4, -61, 68, -40, 60, 34, 40, 5, 4, 0, -40, 25, -28, 64, 16, 3, 120, 150, -16, -70, 0, -1, 36, -16, -40, -52, 92, 66, 8, 84, -40, 0, 88, 58, 0, 20, -64, 60, -48, 22, 0, 10, 0, 87, 50, 8, 56, -7, -8, 29, 16, 0, -80, 0, 40, -3, -52, -31, -96, 24, -4, -14, 8, 16, 0, 50, 4, -10, 72, 9, -4, 0, 6, 6, -104, 0, -128, 34, 12, 67, -60, -63, -82, -80, 16, 2, 0, -13, -140, 45, 50, 9, 44, 12, 50, -24, 0, 0, 12, -20, 30, -73, 0, 31, -96, -10, -56, -3, 0, -27, 12, 2, -16, 208, -12, 20, 102, -8, -86, 0, 22, -54, 0, 21, 56, 42, 4, -28, -44, 10, 0, 20, -12, 0, 120, -40, 80, 105, 24, -10, 0, 0, -88, 0, 36, 38, -46, -10, 108, 10, 2, -50, 0, -85, -32, -42, -80, 42, -48, 18, -40, 30, -40, 0, 0, 56, 20, 9, -4, 52, 76, 26, -76, -190, 0, 30, -18, -4, 40, 20, -40, 47, 52, -7, 88, 0, 24, -36, -80, -20, -40, -39, 36, 42, 16, 0, 0, -108, 76, 62, -60, -14, -74, -18, -12, -21, -144, 0, -116, -14, -24, -60, 76, 53, 4, 12, -32, -14, 0, 9, 56, -4, -6, 16, 0, 27, 0, 80, 76, 0, 54, -1, -94, 110, 22, 64, 44, 7, -72, -66, 0, 50, -160, 30, 16, 1, 32, -6, 104, 2, 128, 0, 0, -170, 0, 26, 20, 0, -20, 20, 44, -36, 0, 64, -4, 78, -6, 7, 112, 56, -12, 24, 12, 0, 40, 0, 32, -50, 138, 12, 48, 6, -36, 63, 0, 22, 144, 6, 0, -47, 116, 0, 80, -134, -2, 0, -24, -56, -64, -85, 36, 30, 24, 17, 108, 17, 0, -80, 38, -60, 8, 73, 6, 72, -36, -3, -20, 0, 60, 0, -40, 8, 4, 10, 54, -91, 80, -30, 0, -48, 4, 16, 56, 90, 40, 86, -4, -57, 108, 0, -30, -12, 44, -10, 52, -18, -66, 87, -40, -91, 0, -2, -4, -87, -52, -120, -68, 3, -116, 42, 0, 0, -102, 16, 2, -54, 0, -27, 94, 38, -36, -40, 0, -87, 52, -13, 12, -40, -36, 102, 90, 0, -76, 0, -48, 2, 48, 40, 16, 30, 18, 87, 24, 7, 0, 75, -58, -62, -64, -3, -84, -120, -2, 40, -24, 0, 32, 3, -26, 28, -44, -30, 0, -24, 12, -32, 0, -14, 94, -40, -8, 134, -32, 8, -76, -23, 18, 0, -60, -14, 116, -28, -8, 129, 16, 20, 30, 18, 0, 84, 0, 7, -56, 0, 0, 110, 8, 6, -4, 0, -24, -80, -12, -42, 0, -10, 16, 66, 90, -26, 0, 19, 0, 9, 136, -12, 76, -20, 80, 22, 0, 0, 96, -111, 0, 90, 56, -19, -84, -30, -30, 44, 0, -10, -28, 18, -40, 12, 224, 33, -20, -30, -6, 0, 76, 42, -80, 20, -112, 20, 68, 3, 28, 6, 0, 0, 12, -60, -116, -51, 2, -1, 114, -80, 40, 0, 32, -102, 50, -16, 10, 36, -72, -18, -40, -2, 0, -48, 12, -119, -120, 10, 8, 7, 48, -42, 0, 0, 96, -42, 4, -30, -54, 26, 0, -84, -12, -60, 0, -49, 84, 53, 60, 23, -84, 9, 52, -24, 28, 0, 0, -26, -56, -200, 6, -63, 36, 0, -58, -121, 0, 3, -12, 21, -32, 16, 46, -60, -12, 0, -32, 0, 4, 4, 84, 42, -48, -4, -36, 172, -52, 5, 0, -1, -48, 0, 168, -37, 0, 33, 16, 0, -24, 0, 48, 86, 32, 56, -212, -1, 84, 0, 68, -160, 0, -30, -4, 4, 8, -54, -6, 30, 32, 9, 12, 0, 42, 20, -36, 0, -4, 18, -120, -30, -32, 90, 0, -14, -56, -6, -56, 68, 18, 80, -8, 29, -80, 0, 68, -60, -138, -25, -174, -138, -52, -68, -32, -34, 0, -120, 0, -12, -36, 16, 0, 12, 80, -144, 68, 0, -16, -44, -4, 23, -20, -20, -16, 18, 20, -2, 0, 34, 22, -70, -24, 108, 12, -30, 0, 9, 16, 0, -24, -43, 0, 24, 20, -12, 160, 9, 40, 36, 0, -2, 150, 26, 36, 0, 12, 0, -36, 10, 40, 0, 4, -48, 24, -10, 36, -60, 64, 10, 0, -80, 0, 120, -16, 32, -60, 38, 80, 6, -28, 86, -60, 0, -18, -45, 72, -40, 24, 57, 16, 4, 4, -83, 0, 27, -156, 18, 0, -80, 92, 0, 10, 30, -6, 0, -292, -38, 42, 13, 0, -72, 60, -21, 32, -22, 0, 52, 24, -10, 54, -111, 32, -33, 12, 17, -12, 0, -32, -72, 32, 9, 0, 60, 0, 110, -96, 30, 0, 12, -8, 127, 54, 21, -56, 0, -4, -55, 76, 0, -80, -20, -72, -3, 44, 30, -24, -89, 90, 10, 0, 72, 144, 0, 52, 70, 96, 20, -56, -60, -22, 0, -60, -20, -32, 66, -16, 77, 48, -9, 24, -12, 0, -40, 160, -34, -284, -91, -12, 26, -44, -18, 128, 0, -62, 8, 96, 41, 140, 0, -24, 21, 6, -9, 0, 105, 48, 60, -80, -14, -48, 48, 68, 73, -8, 0, 24, 122, 0, 42, 84, 14, -112, -31, -38, 0, 0, -1, 40, -115, -16, 120, -16, -36, 120, 20, -72, 0, -36, -6, 48, -64, 44, 10, 58, 1, -8, -120, 0, -68, -56, -3, 40, -90, 0, -110, 0, 51, -6, 0, 48, 8, -140, 20, 48, -18, 0, -50, 84, -30, 0, 69, -6, -3, 28, 3, -136, 28, -96, 40, 146, 0, 104, -23, -104, 100, 80, 0, 180, -74, 48, 47, 0, 4, 0, 60, 52, 29, 12, 6, -16, -362, 48, 0, 100, 15, -12, 17, -2, 30, -24, -70], "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.r", "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], [0, -1], [1, 0], [-1, 1], [-1, -2], [0, -1], [1, 0], [-1, 2], [1, 0], [2, 3], [0, 0], [-1, 1], [-3, -2], [0, -1], [-1, -2], [0, -3], [-2, 4], [0, -1], [-3, 0], [-1, -1], [1, 0], [0, 0], [2, 4], [-1, 2], [0, 8], [2, 5], [1, 0], [-1, 1], [3, 0], [2, 3], [0, 0], [5, -1], [0, 0], [-4, -2], [-1, -2], [-1, 1], [-3, 4], [0, 3], [-3, -2], [-3, -4], [-8, 4], [0, -1], [2, -8], [0, 0], [-1, -2], [-4, -6], [-3, 0], [0, -3], [1, 0], [-8, -8], [-2, 4], [1, -3], [-4, 8], [0, -1], [0, 0], [-1, 2], [-3, 0], [0, -3], [5, -4], [-1, -1], [-10, 4], [0, 0], [1, 0], [1, 2], [7, 12], [0, 0], [1, -6], [6, -2], [2, 4], [2, 3], [8, -4], [-1, 2], [-9, -2], [-4, -1], [0, 8], [3, -3], [0, 0], [2, 5], [-6, 12], [6, 9], [1, 0], [-4, 4], [-6, 0], [-1, 1], [-6, -8], [8, 6], [3, 0], [0, 0], [2, -4], [2, 3], [-3, -2], [2, 2], [0, 0], [0, 3], [3, 6], [5, -1], [2, 0], [0, -1], [0, 0], [8, 0]]}