# Stored data for newform 4026.2.a.o, downloaded from the LMFDB on 19 April 2024.
{"label": "4026.2.a.o", "space_label": "4026.2.a", "level": 4026, "weight": 2, "hecke_orbit": 15, "hecke_orbit_code": 63050394816745402, "dim": 3, "is_polredabs": true, "nf_label": "3.3.1129.1", "trace_hash": 433985237958814971, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-9, -4, 3, 1]], [7, [-17, -13, 2, 1]], [13, [-97, -10, 7, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+(-1+\\beta _{1})q^{5}-q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16104, "fricke_eigenval": 1, "atkin_lehner_string": "-+-+", "analytic_conductor": 32.14777185376748, "hecke_ring_index": 1, "level_radical": 4026, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [4026, 1, [1343, 1465, 3235], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 11, 61], "conrey_indexes": [1], "field_disc": 1129, "field_disc_factorization": [[1129, 1]], "field_poly": [-3, -7, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.844", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21.899", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "245.711", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [11, -1], [61, 1]], "trace_display": [3, -3, -3, -2], "traces": [0, 3, 3, -3, 3, -3, -3, -2, 3, 3, -3, 3, -3, -7, -2, 3, 3, 3, 3, 2, -3, 2, 3, -4, -3, 2, -7, -3, -2, -8, 3, -17, 3, -3, 3, 7, 3, -14, 2, 7, -3, -5, 2, 0, 3, -3, -4, -5, -3, 9, 2, -3, -7, 8, -3, -3, -2, -2, -8, 13, 3, -3, -17, -2, 3, -12, -3, 17, 3, 4, 7, -17, 3, 10, -14, -2, 2, -2, 7, -7, -3, 3, -5, -14, 2, -3, 0, 8, 3, -23, -3, -29, -4, 17, -5, -21, -3, -7, 9, 3, 2, 3, -3, -15, -7, -7, 8, -9, -3, -25, -3, 14, -2, 0, -2, -15, -8, -7, 13, -2, 3, 3, -3, 5, -17, -6, -2, 3, 3, 0, -12, -26, -3, -35, 17, 3, 3, -27, 4, -9, 7, 5, -17, -7, 3, -15, 10, -9, -14, -21, -2, 18, 2, 3, -2, 22, 7, -8, -7, -8, -3, -31, 3, 26, -5, 3, -14, -20, 2, 30, -3, 2, 0, -14, 8, -35, 3, -13, -23, 21, -3, -23, -29, 3, -4, 5, 17, 3, -5, 2, -21, 15, -3, 39, -7, 12, 9, -12, 3, -28, 2, -17, 3, 24, -3, 23, -15, -4, -7, 2, -7, 12, 8, 17, -9, 14, -3, 40, -25, -10, -3, -7, 14, 54, -2, 2, 0, -48, -2, -42, -15, 2, -8, -38, -7, 37, 13, 7, -2, 17, 3, 22, 3, -3, -3, -51, 5, 48, -17, 14, -6, -10, -2, -4, 3, 3, 3, 13, 0, 33, -12, -8, -26, -48, -3, 16, -35, 23, 17, -63, 3, -38, 3, 29, -27, 2, 4, -15, -9, -17, 7, -8, 5, 48, -17, 21, -7, -44, 3, -48, -15, 7, 10, 36, -9, -64, -14, -3, -21, 62, -2, 5, 18, -3, 2, 3, 3, 26, -2, 15, 22, -34, 7, -2, -8, 7, -7, 12, -8, -8, -3, 9, -31, 2, 3, 48, 26, 25, -5, -39, 3, -11, -14, -14, -20, -22, 2, 34, 30, 0, -3, -17, 2, -7, 0, 15, -14, 35, 8, 20, -35, 7, 3, -47, -13, 22, -23, 2, 21, -25, -3, -3, -23, -3, -29, -33, 3, -3, -4, -5, 5, 57, 17, 27, 3, 6, -5, 23, 2, -19, -21, -3, 15, 45, -3, 7, 39, 0, -7, 74, 12, -4, 9, 26, -12, -12, 3, -35, -28, 35, 2, 8, -17, 6, 3, -3, 24, -14, -3, -5, 23, 27, -15, 0, -4, 75, -7, 9, 2, -21, -7, 34, 12, -5, 8, 2, 17, 2, -9, 7, 14, -37, -3, -41, 40, 15, -25, 50, -10, -35, -3, 9, -7, 25, 14, 83, 54, 21, -2, -47, 2, -5, 0, -18, -48, 89, -2, -15, -42, -3, -15, 34, 2, 39, -8, -22, -38, 30, -7, -40, 37, 8, 13, 0, 7, 54, -2, 8, 17, 8, 3, 18, 22, 31, 3, -54, -3, 82, -3, -26, -51, -12, 5, -8, 48, -3, -17, 40, 14, 77, -6, 20, -10, -35, -2, 67, -4, -30, 3, -46, 3, 12, 3, -2, 13, 57, 0, -5, 33, 14, -12, -54, -8, 36, -26, 35, -48, -17, -3, -11, 16, 13, -35, 41, 23, 8, 17, -21, -63, 9, 3, 54, -38, 23, 3, 8, 29, 15, -27, -3, 2, -1, 4, -29, -15, -5, -9, -43, -17, -19, 7, -3, -8, 19, 5, -42, 48, -2, -17, 41, 21, 47, -7, -15, -44, 50, 3, -6, -48, -39, -15, 58, 7, 8, 10, -12, 36, 47, -9, -45, -64, 12, -14, -42, -3, 7, -21, 28, 62, 33, -2, -23, 5, 17, 18, -3, -3, -29, 2, -24, 3, 22, 3, -10, 26, -23, -2, -10, 15, -25, 22, 4, -34, -17, 7, -31, -2, -2, -8, -14, 7, 31, -7, -12, 12, -31, -8, 36, -8, -17, -3, 32, 9, 21, -31, -14, 2, -26, 3, 13, 48, -40, 26, 23, 25, 58, -5, 10, -39, 46, 3, 0, -11, 7, -14, 110, -14, 15, -20, -54, -22, -3, 2, 11, 34, -2, 30, -27, 0, -44, -3, 48, -17, 14, 2, 55, -7, 42, 0, -105, 15, -43, -14, -2, 35, 66, 8, -5, 20, 38, -35, -40, 7, -24, 3, -37, -47, 23, -13, 74, 22, -7, -23, -11, 2, -12, 21, -17, -25, 5, -3, 25, -3, -22, -23, -1, -3, -59, -29, 3, -33, 0, 3, 31, -3, 51, -4, 17, -5, 59, 5, -48, 57, 10, 17, 105, 27, -14, 3, -75, 6, -17, -5, 10, 23, -74, 2, -36, -19, 4, -21, -51, -3, 145, 15, -3, 45, 12, -3, -40, 7, -13, 39, 9, 0, -45, -7, -33, 74, 26, 12, -17, -4, 8, 9, -43, 26, 71, -12, 48, -12, -15, 3, 7, -35, -16, -28, -67, 35, -5, 2, -23, 8, 10, -17, 96, 6, 63, 3, -120, -3, 8, 24, 38, -14, -31, -3, -19, -5, -29, 23, -43, 27, 79, -15, -2, 0, 41, -4, 19, 75, 15, -7, 9, 9, 24, 2, 17, -21, -6, -7, -1, 34, 8, 12, -15, -5, -2, 8, -48, 2, 4, 17, -12, 2, -21, -9, -35, 7, -59, 14, 44, -37, 59, -3, -9, -41, 48, 40, -7, 15, -6, -25, -7, 50, 75, -10, 15, -35, -36, -3, -39, 9, 4, -7, 64, 25, 17, 14, -12, 83, 3, 54, 7, 21, -9, -2, -62, -47, 64, 2, 8, -5, -5, 0, 97, -18, 27, -48, 3, 89, -34, -2, -14, -15, -3, -42, -25, -3, -10, -15, -26, 34, 6, 2, -24, 39, -15, -8, 87, -22, 63, -38, 34, 30, -3, -7, 109, -40, 2, 37, 71, 8, 36, 13, -7, 0, -61, 7, -19, 54, -12, -2, -73, 8, 12, 17, 8, 8, 28, 3, 32, 18, -9, 22, -54, 31, 14, 3, -2, -54, -25, -3, 107, 82, -48, -3, -83, -26, -23, -51, -25, -12, 117, 5, -1, -8, 39, 48, -19, -3, -39, -17, 11, 40, -18, 14, 11, 77, 14, -6, -29, 20, 13, -10, 22, -35, -81, -2, 33, 67, -34, -4, 75, -30, -10, 3, 0, -46, 40, 3, -51, 12, 17, 3, 26, -2, 69, 13, 7, 57, 83, 0, 49, -5, -15, 33, -3, 14, 49, -12, -35, -54, 44, -8, -21, 36, -20, -26, -1, 35, -19, -48, -7, -17, 18, -3, -32, -11, 47, 16, -35, 13, 73, -35, -22, 41, -7, 23, -44, 8, -2, 17, 79, -21, -19, -63, 25, 9, -77, 3, 17, 54, 3, -38, -107, 23, -70, 3, 3, 8, -34, 29, 26, 15, 33, -27, -1, -3, 14, 2, 3, -1, -23, 4, -12, -29, 5, -15, -46, -5, 3, -9, -57, -43, -68, -17, -93, -19, -27, 7, 51, -3, -25, -8, -6, 19, 45, 5, -85, -42, -23, 48, -15, -2, 5, -17, 19, 41, 17, 21, -46, 47, 3, -7, 41, -15, 103, -44, -45, 50, 46, 3, 67, -6, -7, -48, 26, -39, -2, -15, 0, 58, 37, 7, 30, 8, -74, 10, -39, -12, 25, 36, 4, 47, 7, -9, -9, -45, -26, -64, 49, 12, 66, -14, 12, -42, -8, -3, -70, 7, 35, -21, 27, 28, -23, 62, -35, 33, -25, -2, 14, -23, -8, 5, 25, 17, -17, 18, -6, -3, 28, -3, 13, -29, 3, 2, -2, -24, -97, 3, 14, 22, -91, 3, 63, -10, 5, 26, -24, -23, -92, -2, -27, -10, -90, 15, -68, -25, 0, 22, 10, 4, 0, -34, -75, -17, -23, 7, 37, -31, -9, -2, -171, -2, 91, -8, 21, -14, -26, 7, 126, 31, -34, -7, -15, -12, -12, 12, 5, -31, -19, -8, 45, 36, -2, -8, -50, -17, -21, -3, -2, 32, -34, 9, -92, 21, -7, -31, -43, -14, -56, 2, 37, -26, -62, 3, 101, 13, 41, 48, -59, -40, -1, 26, -15, 23, -22, 25, -2, 58, -50, -5, -102, 10, 117, -39, 35, 46, -5, 3, 22, 0, -9, -11, -81, 7, 5, -14, -25, 110, 3, -14, 5, 15, -83, -20, -81, -54, -22, -22, -21, -3, -7, 2, 63, 11, 47, 34, -45, -2, -112, 30, 5, -27, 57, 0, 25, -44, 18, -3, -161, 48, -93, -17, -89, 14, -82, 2, -13, 55, 15, -7, 43, 42, -6, 0, 3, -105, 84, 15, 122, -43, -34, -14, 70, -2, 11, 35, -39, 66, 103, 8, 56, -5, 22, 20, 3, 38, -88, -35, -30, -40, 4, 7, 69, -24, 40, 3, -7, -37, -14, -47, -8, 23, -34, -13, -53, 74, 0, 22, 45, -7, -17, -23, -54, -11, -63, 2, 15, -12, -8, 21, -17, -17, 47, -25, -8, 5, -22, -3, -26, 25, -18, -3, 48, -22, 23, -23, -31, -1, 56, -3, 34, -59, 54, -29, -14, 3, -89, -33, -82, 0, -35, 3, 6, 31, 26, -3, 57, 51, 20, -4, 12, 17, 51, -5, 164, 59, 8, 5, -59, -48, 7, 57, 3, 10, -54, 17, 133, 105, -40, 27, -62, -14, -66, 3, -77, -75, 8, 6, 48, -17, -20, -5, -38, 10, -27, 23, 35, -74, -15, 2, -23, -36, -67, -19, -42, 4, -66, -21, 30, -51, 19, -3, -2, 145, 46, 15, -9, -3, 62, 45, -12, 12, -45, -3, -7, -40, 2, 7, 11, -13, 40, 39, -57, 9, -29, 0, 55, -45, 5, -7, 20, -33, -39, 74, -14, 26, -37, 12, -41, -17, 54, -4, -33, 8, -43, 9, -36, -43, 46, 26, -7, 71, -35, -12, -119, 48, 14, -12, 17, -15, 3, 3, -166, 7, 11, -35, -64, -16, -9, -28, -13, -67, -15, 35, 11, -5, -41, 2, -42, -23, -53, 8, -8, 10, 2, -17, -25, 96, 21, 6, 95, 63, -21, 3, -9, -120, 5, -3, 29, 8, -54, 24, -30, 38, -14, -14, -23, -31, 130, -3, -11, -19, -8, -5, -12, -29, -21, 23, -15, -43, 17, 27, 9, 79, 3, -15, -7, -2, 31, 0, 1, 41, -68, -4, -61, 19, 29, 75, 18, 15, -56, -7, 5, 9, 82, 9, 63, 24, 43, 2, -121, 17, 45, -21, 19, -6, -9, -7, 16, -1, 3, 34, -18, 8, 29, 12, -19, -15, -43, -5, 9, -2, 42, 8, -43, -48, 30, 2, 2, 4, 71, 17, 22, -12, -41, 2, -110, -21, 76, -9, -47, -35, 86, 7, 3, -59, 15, 14, -11, 44, 7, -37, -50, 59, -8, -3, -47, -9, 6, -41, 22, 48, 17, 40, 39, -7, -51, 15, -152, -6, -58, -25, -122, -7, 56, 50, -8, 75, -15, -10, 19, 15, 12, -35, 170, -36, 14, -3, -47, -39, 18, 9, 122, 4, 45, -7, 8, 64, -31, 25, -12, 17, -45, 14, -123, -12, 42, 83, 25, 3, -34, 54, -7, 7, -14, 21, -13, -9, -28, -2, 26, -62, -51, -47, -33, 64, -10, 2, -83, 8, 23, -5, -96, -5, -137, 0, -17, 97, 13, -18, -15, 27, 3, -48, 62, 3, -9, 89, 29, -34, -50, -2, 11, -14, 24, -15, -65, -3, 72, -42, -22, -25, 61, -3, -20, -10, 10, -15, -24, -26, 105, 34, 23, 6, 33, 2, -115, -24, 10, 39, -25, -15, -154, -8, 25, 87, 30, -22, -43, 63, -4, -38, -12, 34, -41, 30, 17, -3, -54, -7, -15, 109, 31, -40, -51, 2, 33, 37, 2, 71, 42, 8, 111, 36, 14, 13, 59, -7, 17, 0, -31, -61, 83, 7, 59, -19, 12, 54, 62, -12, -14, -2, 31, -73, 35, 8, -91, 12, -36, 17, -18, 8, -101, 8, 17, 28, -93, 3, 0, 32, -32, 18, -35, -9, 157, 22, -21, -54, 185, 31, 39, 14, 14, 3, -65, -2, -51, -54, 26, -25, -64, -3, -79, 107, -13, 82, -129, -48, -36, -3, 40, -83, -15, -26, -67, -23, -23, -51, 1, -25, 34, -12, -58, 117, 54, 5, 21, -1, -10, -8, -55, 39, 48, 48, -46, -19, -3, -3, -27, -39, 0, -17, -72, 11, 38, 40, -7, -18, -23, 14, 94, 11, -110, 77, -33, 14, 68, -6, -15, -29, -73, 20, 2, 13, 54, -10, -69, 22, 24, -35, 3, -81, 149, -2, -162, 33, -11, 67, 32, -34, 32, -4, 2, 75, 123, -30, -108, -10, 27, 3, 76, 0, 5, -46, 44, 40, 53, 3, 61, -51, -48, 12, 12, 17, 3, 3, -14, 26, -9, -2, 8, 69, -55, 13, 3, 7, 64, 57, -42, 83, 109, 0, 115, 49, 105, -5, 41, -15, -128, 33, 43, -3, -119, 14, -125, 49, 2, -12, 32, -35, -52, -54, -66, 44, 25, -8, -72, -21, 5, 36, 11, -20, -8, -26, -38, -1, -48, 35, 15, -19, 40, -48, -17, -7, -42, -17, 24, 18, 151, -3, -50, -32, 37, -11, 38, 47, -27, 16, -23, -35, 39, 13, -6, 73, -74, -35, 66, -22, 4, 41, 7, -7, -7, 23, 45, -44, 11, 8, -116, -2, -164, 17, 12, 79, 57, -21, -51, -19, 17, -63, 18, 25, 19, 9, -5, -77, 3, 3, 119, 17, -25, 54, 143, 3, -12, -38, 22, -107, 95, 23, -90, -70, 1, 3, 131, 3, -114, 8, 59, -34, -1, 29, -111, 26, -3, 15, -28, 33, 177, -27, 0, -1, 26, -3, -80, 14, -31, 2, 125, 3, -62, -1, -51, -23, -136, 4, 48, -12, -17, -29, 21, 5, 150, -15, -59, -46, -63, -5, -101, 3, 48, -9, -43, -57, -26, -43, -10, -68, 119, -17, 24, -93, -105, -19, 2, -27, -29, 7, 14, 51, 183, -3, 149, -25, 75, -8, 37, -6, 47, 19, 17, 45, 23, 5, 14, -85, -10, -42, -35, -23, -38, 48, 74, -15, -11, -2, 24, 5, 36, -17, 3, 19, -47, 41, -4, 17, 24, 21, 54, -46, 51, 47, 2, 3, 52, -7, -145, 41, 23, -15, -121, 103, 3, -44, 55, -45, 2, 50, -12, 46, -111, 3, -42, 67, 40, -6, -21, -7, -56, -48, 13, 26, -10, -39, 6, -2, -9, -15, 12, 0, -99, 58, 45, 37, 96, 7, -27, 30, 33, 8, 63, -74, -113, 10, -26, -39, -91, -12, -22, 25, 17, 36, 107, 4, -13, 47, -8, 7, 39, -9, 7, -9, 43, -45, -20, -26, -232, -64, -71, 49, -9, 12, 14, 66, -48, -14, -37, 12, 156, -42, 15, -8, -48, -3, 72, -70, -7, 7, -80, 35, 65, -21, 16, 27, 40, 28, -10, -23, 67, 62, 135, -35, 44, 33, 5, -25, -150, -2, -57, 14, 23, -23, 136, -8, -36, 5, -10, 25, 55, 17, 40, -17, -96, 18, -12, -6, -141, -3, -63, 28, 25, -3, 105, 13, 120, -29, 49, 3, -7, 2, -8, -2, -105, -24, 22, -97, -38, 3, 5, 14, 4, 22, 31, -91, 65, 3, 6, 63, 19, -10, 54, 5, -58, 26, 29, -24, 35, -23, 94, -92, 43, -2, -15, -27, 48, -10, -79, -90, 85, 15, -135, -68, 2, -25, 38, 0, -103, 22, -41, 10, 9, 4, -107, 0, -19, -34, -7, -75, -66, -17, -15, -23, -96, 7, -48, 37, -9, -31, 5, -9, 77, -2, -24, -171, -78, -2, 10, 91, -17, -8, -118, 21, 42, -14, 6, -26, -42, 7, 131, 126, 1, 31, -93, -34, -114, -7, -8, -15, -64, -12, -21, -12, 15, 12, -51, 5, -101, -31, 2, -19, -19, -8, -59, 45, 48, 36, 38, -2, -64, -8, -4, -50, 32, -17, 21, -21, 12, -3, -35, -2, -38, 32, 21, -34, 18, 9, 184, -92, 35, 21, 128, -7, -67, -31, 59, -43, -64, -14, -91, -56, -44, 2, 37, 37, 74, -26, -59, -62, -34, 3, 16, 101, 9, 13, -48, 41, 57, 48, -48, -59, -56, -40, 69, -1, 7, 26, 74, -15, 68, 23, 6, -22, 30, 25, 5, -2, 7, 58, 8, -50, 0, -5, -75, -102, 103, 10, 17, 117, -15, -39, 11, 35, 22, 46, 36, -5, -75, 3, -164, 22, 39, 0, -12, -9, -35, -11, -4, -81, 22, 7, -72, 5, -64, -14, 71, -25, -164, 110, -17, 3, -104, -14, -140, 5, 12, 15, -8, -83, -165, -20, -3, -81, 76, -54, 50, -22, -7, -22, -50, -21, 99, -3, 9, -7, 11, 2, -154, 63, 62, 11, -21, 47, -51, 34, -64, -45, -34, -2, -5, -112, -8, 30, -14, 5, -19, -27, 5, 57, 35, 0, -85, 25, -97, -44, 48, 18, -209, -3, -27, -161, -78, 48, -128, -93, -3, -17, -128, -89, -88, 14, 34, -82, 42, 2, -31, -13, 14, 55, -22, 15, -230, -7, 3, 43, 19, 42, 88, -6, 25, 0, -70, 3, 66, -105, 10, 84, 98, 15, -10, 122, 26, -43, 89, -34, 119, -14, -6, 70, 26, -2, -192, 11, 24, 35, -112, -39, 12, 66, 15, 103, -4, 8, 94, 56, -87, -5, 1, 22, 0, 20, -63, 3, 1, 38, -73, -88, -34, -35, 62, -30, 48, -40, 3, 4, 52, 7, 11, 69, -109, -24, 92, 40, 87, 3, -2, -7, -19, -37, 132, -14, -71, -47, 57, -8, 13, 23, -36, -34, -128, -13, 75, -53, 7, 74, 58, 0, -20, 22, 61, 45, -72, -7, 68, -17, 19, -23, 33, -54, -115, -11, 12, -63, 33, 2, 75, 15, 73, -12, 28, -8, 194, 21, -12, -17, 5, -17, 88, 47, -8, -25, 30, -8, -36, 5, -28, -22, -22, -3, -5, -26, -32, 25, 203, -18, 47, -3, 9, 48, 192, -22, -48, 23, 54, -23, -184, -31, -107, -1, -14, 56, 28, -3, -252, 34, 2, -59, 109, 54, -19, -29, 25, -14, 16, 3, 7, -89, -107, -33, 34, -82, 18, 0, 48, -35, -71, 3, -123, 6, 83, 31, -77, 26, 118, -3, 23, 57, 32, 51, -14, 20, 25, -4, 215, 12, -151, 17, -117, 51, 251, -5, -94, 164, 1, 59, 93, 8, -63, 5, -39, -59, 12, -48, 54, 7, 19, 57, -107, 3, -152, 10, 39, -54, -35, 17, 180, 133, -11, 105, -38, -40, 37, 27, 18, -62, -29, -14, -9, -66, -11, 3, -100, -77, -60, -75, -14, 8, -125, 6], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "4026.2.a.o", "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, 0], [1, 0, 0], [1, 0, 0], [-1, 0, 0], [1, 0, 0], [-1, 1, 0], [-1, 0, 0], [-1, 0, -1], [1, 0, 0], [1, 0, 0], [-1, 1, 0], [1, 0, 0], [-1, 0, 0], [-2, -1, 1], [-1, 0, -1], [1, -1, 0], [1, 0, 0], [1, 0, 0], [1, 0, 0], [1, -1, 1], [-1, 1, 0], [1, 0, 1], [1, 0, 0], [-1, -1, 1], [-1, 0, 0], [1, -1, 1], [-2, -1, 1], [-1, 0, 0], [-1, 0, -1], [-3, -2, -1], [1, -1, 0], [-6, 0, -1], [1, 0, 0], [-1, 0, 0], [1, 0, 0], [3, -2, 2], [1, 0, 0], [-5, -1, -1], [1, -1, 1], [2, 1, -1], [-1, 1, 0], [-1, 2, 2], [1, 0, 1], [0, 1, 0], [1, 0, 0], [-1, 1, 0], [-1, -1, 1], [-1, 3, 2], [-1, 0, 0], [3, -3, 0], [1, -1, 1], [-1, 0, 0], [-2, -1, 1], [2, 1, -2], [-1, 0, 0], [-1, 1, 0], [-1, 0, -1], [-1, 1, -1], [-3, -2, -1], [4, -4, -1], [1, -1, 0], [-1, 0, 0], [-6, 0, -1], [-1, 0, -1], [1, 0, 0], [-5, -1, -3], [-1, 0, 0], [6, 0, 1], [1, 0, 0], [1, 1, -1], [3, -2, 2], [-6, 0, -1], [1, 0, 0], [3, -2, -1], [-5, -1, -1], [-1, 1, -1], [1, -1, 1], [-1, 0, -1], [2, 1, -1], [-2, -1, 1], [-1, 1, 0], [1, 0, 0], [-1, 2, 2], [-5, 4, -1], [1, 0, 1], [-1, 1, 0], [0, 1, 0], [3, 2, 1], [1, 0, 0], [-7, 5, 2], [-1, 1, 0], [-9, 5, 2], [-1, -1, 1], [6, 0, 1], [-1, 3, 2], [-8, 2, -3], [-1, 0, 0], [-2, -4, 1], [3, -3, 0], [1, 0, 0], [1, -1, 1]]}