# Stored data for newform 4014.2.a.n, downloaded from the LMFDB on 06 May 2024.
{"label": "4014.2.a.n", "space_label": "4014.2.a", "level": 4014, "weight": 2, "hecke_orbit": 14, "hecke_orbit_code": 58546795189374894, "dim": 3, "is_polredabs": true, "nf_label": "3.3.49.1", "trace_hash": 1701847873330335494, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-7, 14, -7, 1]], [7, [-1, 20, 9, 1]], [11, [169, -39, -4, 1]]], "qexp_display": "q-q^{2}+q^{4}+(2+\\beta _{1})q^{5}+(-3+\\beta _{1}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16056, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 32.05195137134194, "hecke_ring_index": 1, "level_radical": 1338, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 14, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [4014, 1, [893, 2233], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 223], "conrey_indexes": [1], "field_disc": 49, "field_disc_factorization": [[7, 2]], "field_poly": [1, -2, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.055", "prec": 17}, {"__RealLiteral__": 0, "data": "2.921", "prec": 17}, {"__RealLiteral__": 0, "data": "0.143", "prec": 17}, {"__RealLiteral__": 0, "data": "22.322", "prec": 20}, {"__RealLiteral__": 0, "data": "1.027", "prec": 17}, {"__RealLiteral__": 0, "data": "246.391", "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], [223, 1]], "trace_display": [-3, 0, 7, -9], "traces": [0, 3, -3, 0, 3, 7, 0, -9, -3, 0, -7, 4, 0, -7, 9, 0, 3, 10, 0, -1, 7, 0, -4, 12, 0, 6, 7, 0, -9, 7, 0, -5, -3, 0, -10, -14, 0, -4, 1, 0, -7, 2, 0, -6, 4, 0, -12, -5, 0, 20, -6, 0, -7, 5, 0, 7, 9, 0, -7, -8, 0, -15, 5, 0, 3, -7, 0, 13, 10, 0, 14, 7, 0, 8, 4, 0, -1, 2, 0, -6, 7, 0, -2, 1, 0, 42, 6, 0, -4, 27, 0, 42, 12, 0, 5, -14, 0, 3, -20, 0, 6, 1, 0, 6, 7, 0, -5, 1, 0, 13, -7, 0, -9, 5, 0, 21, 7, 0, 8, -9, 0, 61, 15, 0, -5, 0, 0, -6, -3, 0, 7, -29, 0, -4, -13, 0, -10, 0, 0, 22, -14, 0, -7, 21, 0, 28, -8, 0, -4, 19, 0, 27, 1, 0, -2, -14, 0, 10, 6, 0, -7, -50, 0, -16, 2, 0, -1, -26, 0, 10, -42, 0, -6, 20, 0, 17, 4, 0, -27, -13, 0, -29, -42, 0, -12, 7, 0, -31, -5, 0, 14, 35, 0, 5, -3, 0, 20, -12, 0, -49, -6, 0, -1, 7, 0, -7, -6, 0, -7, 57, 0, 27, 5, 0, -1, -21, 0, 8, -13, 0, 7, 0, 0, -3, 9, 0, -5, -6, 0, 27, -21, 0, -7, -19, 0, -21, -8, 0, 9, 20, 0, -1, -61, 0, -15, 14, 0, 0, 5, 0, 0, 24, 0, 2, 6, 0, 3, 65, 0, 26, -7, 0, 29, -11, 0, -14, 4, 0, 13, 30, 0, -4, 10, 0, 0, 15, 0, -27, -22, 0, 14, -6, 0, -16, 7, 0, -21, 1, 0, 71, -28, 0, 8, 23, 0, 0, 4, 0, -19, -49, 0, 11, -27, 0, -1, -14, 0, -15, 2, 0, 14, -1, 0, -74, -10, 0, -6, 6, 0, 56, 7, 0, 50, -71, 0, 35, 16, 0, -2, -20, 0, 53, 1, 0, 26, 21, 0, 49, -10, 0, 42, -23, 0, -60, 6, 0, -20, 51, 0, -11, -17, 0, -4, 43, 0, 49, 27, 0, 13, 12, 0, 4, 29, 0, 42, 14, 0, -52, 12, 0, -7, -64, 0, 10, 31, 0, 5, 28, 0, -39, -14, 0, -35, 31, 0, 49, -5, 0, 3, 70, 0, 19, -20, 0, 12, -49, 0, 4, 49, 0, 6, 61, 0, 0, 1, 0, -7, -66, 0, 20, 7, 0, 6, 31, 0, 14, 7, 0, -57, -21, 0, 32, -27, 0, -5, 97, 0, 59, 1, 0, 21, -10, 0, 1, -8, 0, 13, 3, 0, -65, -7, 0, 0, -14, 0, 70, 3, 0, -9, 17, 0, 131, 5, 0, 6, 70, 0, -1, -27, 0, 21, 20, 0, 27, 7, 0, 19, 31, 0, -32, 21, 0, 8, 13, 0, -44, -9, 0, -20, -9, 0, 21, 1, 0, 61, 14, 0, -6, 15, 0, -14, 31, 0, 49, 0, 0, -5, 21, 0, 57, 0, 0, -24, 4, 0, -28, -2, 0, -6, 94, 0, -45, -3, 0, -65, -14, 0, -107, -26, 0, 7, 72, 0, 17, -29, 0, 11, -19, 0, -7, 14, 0, -4, 21, 0, -42, -13, 0, -30, -27, 0, 10, 4, 0, -10, 14, 0, -43, 0, 0, -15, 0, 0, -52, 27, 0, 22, -61, 0, 7, -14, 0, 6, -71, 0, -28, 16, 0, -7, 63, 0, -6, 21, 0, -1, -11, 0, 32, -71, 0, 28, 18, 0, -33, -8, 0, -23, 107, 0, -3, 0, 0, -4, -63, 0, -56, 19, 0, 49, -12, 0, -31, -11, 0, 27, 133, 0, 48, 1, 0, 14, -49, 0, 0, 15, 0, -2, 14, 0, 70, -14, 0, 1, -81, 0, 5, 74, 0, 10, 73, 0, 22, 6, 0, -6, -21, 0, -140, -56, 0, -7, -7, 0, 15, -50, 0, 71, -81, 0, -125, -35, 0, -16, 32, 0, -77, 2, 0, 20, 34, 0, -39, -53, 0, -1, 35, 0, 0, -26, 0, -21, -118, 0, -33, -49, 0, 10, 27, 0, 26, -42, 0, 23, 3, 0, -49, 60, 0, -6, -84, 0, 4, 20, 0, -51, 56, 0, -89, 11, 0, 17, -28, 0, -71, 4, 0, -43, -73, 0, 12, -49, 0, -27, -13, 0, 105, -13, 0, -12, 63, 0, -102, -4, 0, -29, 77, 0, -43, -42, 0, -14, -55, 0, -45, 52, 0, -12, 127, 0, 18, 7, 0, 64, -66, 0, 42, -10, 0, -31, -66, 0, -13, -5, 0, -28, 84, 0, -25, 39, 0, 14, 6, 0, -32, 35, 0, -31, 14, 0, -8, -49, 0, 5, -75, 0, -24, -3, 0, -70, 102, 0, -42, -19, 0, 20, -7, 0, 19, -12, 0, 49, -71, 0, 42, -4, 0, -49, 54, 0, -12, -6, 0, -61, -57, 0, -77, 0, 0, -1, -15, 0, 15, 7, 0, 66, -84, 0, 30, -20, 0, -7, 39, 0, 20, -6, 0, -31, -8, 0, 27, -14, 0, -7, -36, 0, -21, 57, 0, 21, 10, 0, -10, -32, 0, 27, 7, 0, -218, 5, 0, -97, -30, 0, -28, -59, 0, -1, -28, 0, 19, -21, 0, 10, -74, 0, 56, -1, 0, 8, -78, 0, -7, -13, 0, -3, 77, 0, -36, 65, 0, 7, -71, 0, -74, 0, 0, 14, -31, 0, -3, -70, 0, -3, -38, 0, -84, 9, 0, -17, -28, 0, -65, -131, 0, -5, -91, 0, 22, -6, 0, -70, 62, 0, 13, 1, 0, 27, 59, 0, -30, -21, 0, -20, 35, 0, 55, -27, 0, -7, 13, 0, 33, -19, 0, -31, 14, 0, -79, 32, 0, -21, -83, 0, 1, -8, 0, -13, -18, 0, -56, 44, 0, 9, -14, 0, 42, 20, 0, 9, -63, 0, -80, -21, 0, -1, 84, 0, 3, -61, 0, -14, 12, 0, -45, 6, 0, -15, -107, 0, -20, 14, 0, -31, 50, 0, -28, -49, 0, 0, -17, 0, -17, 5, 0, -21, -126, 0, 84, -57, 0, 0, -35, 0, 90, 24, 0, -4, 31, 0, 23, 28, 0, 2, -4, 0, 21, 6, 0, -94, -9, 0, -8, 45, 0, 3, -24, 0, -91, 65, 0, 14, -28, 0, 5, 107, 0, 26, 69, 0, 126, -7, 0, -72, -78, 0, 77, -17, 0, 29, 88, 0, 63, -11, 0, 19, 105, 0, -60, 7, 0, -14, -25, 0, 8, 4, 0, -21, 123, 0, -5, 42, 0, 13, 0, 0, -40, 30, 0, 27, 28, 0, 15, -10, 0, -4, 7, 0, -140, 10, 0, -14, -82, 0, 56, 43, 0, 0, 48, 0, -100, 15, 0, 0, -99, 0, -7, 52, 0, -27, -44, 0, -106, -22, 0, 61, -7, 0, 87, -7, 0, 14, -107, 0, 34, -6, 0, 71, 143, 0, 77, 28, 0, -16, -188, 0, -49, 7, 0, -63, -36, 0, 20, 6, 0, -21, 28, 0, 9, 1, 0, 11, -33, 0, -17, -32, 0, 71, -70, 0, -100, -28, 0, -18, -58, 0, -49, 33, 0, 8, 169, 0, 3, 23, 0, -107, -73, 0, 41, 3, 0, 0, 12, 0, -79, 4, 0, 63, 21, 0, 49, 56, 0, -19, 131, 0, 21, -49, 0, 12, 183, 0, -57, 31, 0, 11, -49, 0, 168, -27, 0, -133, -53, 0, 72, -48, 0, -1, 88, 0, 69, -14, 0, 49, 1, 0, -121, 0, 0, -15, 27, 0, 89, 2, 0, -14, 35, 0, -14, -70, 0, 14, 36, 0, 44, -1, 0, 81, -21, 0, 28, -5, 0, -74, -3, 0, 70, -10, 0, -73, 42, 0, 56, -22, 0, -6, -42, 0, 52, 6, 0, 21, -22, 0, 82, 140, 0, 56, -53, 0, -70, 7, 0, 7, -51, 0, 175, -15, 0, 50, -56, 0, 82, -71, 0, 81, -7, 0, -122, 125, 0, 35, -17, 0, 109, 16, 0, -32, -78, 0, 303, 77, 0, -2, -112, 0, 14, -20, 0, -34, 20, 0, 35, 39, 0, 53, -116, 0, 115, 1, 0, -35, -63, 0, 10, 0, 0, 26, -196, 0, -154, 21, 0, 118, -125, 0, 49, 33, 0, 49, -105, 0, 83, -10, 0, -27, -42, 0, -39, -26, 0, 42, -22, 0, -98, -23, 0, -3, 69, 0, -17, 49, 0, -60, -157, 0, 105, 6, 0, 84, 57, 0, -8, -4, 0, -20, -91, 0, -33, 51, 0, -56, -84, 0, 133, 89, 0, -11, -57, 0, -25, -17, 0, 28, -74, 0, 21, 71, 0, -4, 39, 0, 43, 43, 0, 73, -28, 0, 0, -12, 0, 49, -77, 0, 95, 27, 0, 13, 81, 0, 125, -105, 0, 13, -65, 0, 77, 12, 0, -63, -46, 0, -104, 102, 0, 4, 224, 0, -46, 29, 0, -77, -45, 0, 5, 43, 0, 42, 34, 0, 140, 14, 0, 55, -290, 0, 21, 45, 0, -52, -84, 0, -55, 12, 0, -127, 47, 0, -39, -18, 0, -7, -14, 0, -57, -64, 0, 66, 25, 0, -89, -42, 0, 10, -45, 0, -77, 31, 0, 66, -55, 0, 37, 13, 0, 5, 35, 0, 77, 28, 0, -84, 106, 0, 139, 25, 0, -39, -117, 0, -3, -14, 0, -6, 97, 0, 47, 32, 0, -35, 97, 0, 15, 31, 0, -14, 35, 0, -84, 8, 0, 49, 45, 0, -37, -5, 0, 75, 70, 0, 16, 24, 0, 3, -85, 0, -21, 70, 0, -102, 14, 0, 9, 42, 0, 19, -189, 0, 54, -20, 0, 7, -93, 0, -203, -19, 0, 12, -19, 0, 21, -49, 0, 71, -7, 0, 49, -42, 0, 4, -38, 0, -27, 49, 0, -54, 189, 0, -30, 12, 0, 6, -24, 0, -130, 61, 0, 57, 95, 0, -4, 77, 0, 0, -58, 0, -147, 1, 0, 15, 42, 0, -28, -15, 0, -7, 119, 0, -72, -66, 0, 84, -6, 0, -14, -30, 0, 20, 125, 0, -61, 7, 0, -39, 15, 0, -70, -20, 0, 6, -11, 0, -21, 31, 0, 8, 126, 0, 30, -27, 0, 14, -27, 0, -35, 7, 0, 36, -20, 0, -22, 21, 0, -57, -81, 0, 5, -21, 0, -10, 53, 0, 79, 10, 0, 32, 105, 0, -123, -27, 0, -7, -58, 0, -22, 218, 0, -5, -11, 0, -114, 97, 0, 30, 21, 0, -63, 28, 0, 59, 45, 0, -35, 1, 0, 28, -84, 0, -69, -19, 0, 21, 77, 0, -25, -10, 0, 74, -94, 0, -7, -56, 0, 1, 6, 0, 70, -8, 0, 78, 37, 0, 35, 7, 0, 13, -84, 0, 53, 3, 0, -77, -8, 0, -5, 36, 0, -65, 19, 0, 121, -7, 0, 71, 38, 0, 42, 74, 0, 0, -35, 0, 1, -14, 0, 31, 154, 0, -20, 3, 0, 70, -77, 0, 55, 3, 0, 38, 33, 0, 39, 84, 0, -9, 212, 0, 42, 17, 0, 28, -174, 0, 75, 65, 0, 131, -35, 0, -14, 5, 0, 91, 18, 0, -99, -22, 0, 6, 46, 0, -181, 70, 0, -62, -53, 0, -19, -13, 0, -1, 25, 0, -90, -27, 0, -59, -77, 0, 103, 30, 0, 21, 145, 0, 55, 20, 0, -35, -9, 0, -103, -55, 0, 27, -85, 0, -91, 7, 0, -13, -101, 0, -26, -33, 0, 19, -7, 0, 81, 31, 0, -14, -45, 0, -77, 79, 0, -32, 126, 0, 61, 21, 0, 83, -125, 0, 98, -1, 0, 8, -21, 0, 32, 13, 0, 18, -49, 0, -58, 56, 0, -44, -105, 0, -13, -9, 0, 14, 63, 0, -17, -42, 0, -20, 128, 0, 28, -9, 0, 63, 2, 0, -149, 80, 0, 21, 144, 0, -127, 1, 0, -84, -117, 0, 27, -3, 0, 61, -84, 0, 25, 14, 0, -12, 70, 0, 189, 45, 0, -6, 59, 0, -21, 15, 0, 107, 98, 0, -58, 20, 0, -14, -65, 0, -42, 31, 0, -50, 46, 0, 202, 28, 0, 49, 138, 0, -187, 0, 0, 17, 85, 0, 76, 17, 0, -5, -7, 0, 0, 21, 0, 126, -27, 0, 25, -84, 0, 57, 50, 0, -16, 0, 0, 35, 24, 0, 161, -90, 0, -24, -3, 0, 83, 4, 0, -31, -21, 0, 11, -23, 0, -28, 3, 0, -136, -2, 0, 4, 32, 0, 21, -21, 0, -6, 121, 0, -70, 94, 0, 9, 54, 0, -133, 8, 0, -45, 0, 0, 108, -3, 0, 24, -160, 0, 9, 91, 0, -65, 208, 0, 77, -14, 0, 28, 4, 0, -28, -5, 0, -107, -48, 0, 131, -26, 0, -69, 58, 0, -38, -126, 0, 7, -29, 0, 3, 72, 0, 78, 42, 0, 45, -77, 0, 17, 231, 0, -21, -29, 0, -88, -165, 0, -91, -63, 0, 11, 56, 0, -5, -19, 0, -105, -100, 0, -100, 60, 0, -7, -35, 0, 28, 14, 0, 25, -82, 0, 91, -8, 0, -4, 17, 0, 70, 21, 0, -123, 21, 0, 47, 5, 0, -42, 60, 0, -75, -13, 0, 0, 108, 0, 157, 40, 0, -30, 16, 0, 14, -27, 0, -28, -27, 0, -32, -15, 0, 10, 70, 0, 89, 4, 0, -7, 203, 0, -6, 140, 0, -10, -32, 0, -7, 14, 0, 82, 139, 0, -49, -56, 0, -43, -42, 0, 187, 0, 0, -48, -154, 0, -14, 100, 0, -15, -21, 0, 59, 0, 0, 99, 63, 0, 12, 7, 0, -52, 111, 0, -28, 27, 0, 44, 94, 0, -69, 106, 0, 22, 75, 0, -106, -61, 0, 7, -23, 0, -63, -87, 0, 7, 109, 0, 91, -14, 0, 107, -115, 0, 119, -34, 0, 6, -42, 0, 5, -71, 0, -143, 252, 0, 146, -77, 0, -28, 269, 0, 3, 16, 0, 188, 72, 0, -97, 49, 0, -7, 80, 0, -63, 63, 0, 36, 18, 0, -13, -20, 0, -6, -35, 0, -33, 21, 0, -28, -154, 0, 77, -9, 0, -1, -31, 0, -60, -11, 0, 33, 116, 0, 28, 17, 0, 32, 14, 0, -160, -71, 0, 70, 49, 0, -117, 100, 0, 28, -90, 0, 74, 18, 0, 58, 0, 0, -217, 49, 0, -33, -69, 0, 161, -8, 0, -169, 73, 0, 9, -3, 0, -23, 14, 0, -82, 107, 0, 73, 113, 0, 21, -41, 0, -3, 157, 0, -112, 0, 0, -12, 64, 0, 0, 79, 0, -4, 108, 0, 198, -63, 0, -21, -14, 0, 64, -49, 0, -56, 41, 0, -85, 19, 0, -131, 34, 0, 105, -21, 0, 49, 218, 0, 14, -12, 0, -183, 35, 0, 131, 57, 0, -31, -7, 0, 42, -11, 0, 49, 51, 0, -12, -168, 0, 27, 42, 0, -199, 133, 0, 53, -8, 0, 62, -72, 0, 48, -251, 0, 406, 1, 0, -88, 0, 0, 46, -69, 0, 14, 63, 0, -37, -49, 0, -1, 43, 0, 45, 121, 0, 0, -4, 0, 35, 15, 0, -27, -40, 0, 67, -89, 0, -2, 210, 0, 150, 14, 0, -35, -213, 0, -50, 14, 0, 70, 0, 0, -113, -14, 0, -36, -224, 0, -28, -44, 0, 1, -9, 0, 106, -81, 0, 21, 140, 0, -8, -28, 0, 5, -185, 0, -70, 74, 0, 3, 45, 0, 112, -70, 0, 10, -78, 0, -28, 73, 0, -42, 71, 0, -213, -56, 0, 22, -159, 0, -96, 6, 0, 42, 6, 0, 89, -52, 0, -6, -33, 0, -75, -21, 0, 22, -25, 0, 210, -82, 0, -140, 64, 0, -52, -56, 0, 53, -98, 0, 32, 70, 0, -7, 70, 0, -303, -7, 0, 51, 195, 0, 268, -175, 0, 15, -11, 0, -156, -50, 0, 56, -5, 0, 49, -82, 0, 71, -301, 0, 98, -81, 0, 7, -46, 0, 30, 122, 0, -125, 255, 0, 76, -35, 0, 17, 154, 0, 245, -109, 0, -16, 67, 0, -9, 32, 0, 78, 77, 0, 0, -303, 0, -77, 37, 0, -19, 2, 0, 112, 126, 0, 127, -14, 0, 20, 52, 0, -91, 34, 0, -20, -35, 0, 23, -35, 0, -39, -63, 0, 135, -53, 0, 116, -258, 0, 138, -115, 0, -1, -162, 0, 148, 35, 0, 63, -43, 0, 126, -10, 0, 0, -39, 0, -54, -26, 0, 196, -194, 0, -21, 154, 0, -21, -198, 0, -34, -118, 0, 125, 37, 0, 99, -49, 0, -33, -39, 0, -252, -49, 0, 105, 41, 0, 15, -83, 0, 10, 56, 0, -111, 27, 0, 42, -42, 0, 15, 39, 0, 26, -315, 0, -62, -42, 0, 22, -182, 0, -16, 98, 0, 23, 172, 0, 136, 3, 0, -69, -133, 0, -43, 17, 0, -49, -116, 0, -21, 60, 0, 157, 179, 0, -139, -105, 0, -6, -105, 0, -21, -84, 0, -57, -38, 0, 375, 8, 0, 4, -77, 0, 73, 20, 0, 91, -324, 0, 102, 33, 0, -51, 39, 0, -19, 56, 0, 84, 279, 0, -147, -133, 0, -89, -23, 0, 2, 11, 0, 57, 14, 0, 62, 25, 0, 17, 42, 0, -51, -28, 0, 74, -148, 0, 22, -21, 0, -71, 98, 0, -203, 4, 0, -39, -77, 0, -35, -43, 0, -43, -165, 0, 5, -73, 0, 28, -53, 0, -146, 0, 0, 12, -47, 0, 9, -49, 0, 77, 33, 0, 210, -95, 0, -27, 331, 0, 63, -13, 0, -81, 63, 0, 84, -125, 0, 105, -42, 0, -67, -13, 0, 65, 88, 0, -93, -77, 0, -12, 17, 0, -77, 63, 0, 46, -154, 0, 9, 104, 0, -102, 91, 0, -133, -4, 0, -224, -100, 0, 228, 46, 0, -29, 97, 0, 7, 77, 0, 45, 7, 0, 21, -5, 0, -43, -72, 0, -126, -42, 0, -34, -217, 0, -105, -140, 0, -14, -3, 0, -62, -55, 0, 290, -49, 0, -147, -21, 0, -45, 112, 0, 238, 52, 0, 84, -213, 0, 118, 55, 0, -12, 14, 0, -40, 127, 0, -47, -63, 0, -14, 39, 0, 18, -118, 0, 33, 7, 0, 14, 145, 0, -147, 57, 0, 64, 125, 0, 41, -66, 0, -25, -116, 0, -126, 89, 0, 42, -94, 0, -1, -10, 0, 45, -182, 0, -177, 77, 0, -31, -81, 0, -35, -66, 0, 55, 60, 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": "1338.2.a.f", "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], [0, 0, 0], [1, 0, 0], [2, 1, 0], [0, 0, 0], [-3, 1, 1], [-1, 0, 0], [0, 0, 0], [-2, -1, 0], [4, -3, 5], [0, 0, 0], [-2, 1, 2], [3, -1, -1], [0, 0, 0], [1, 0, 0], [1, 5, -2], [0, 0, 0], [2, -4, 3], [2, 1, 0], [0, 0, 0], [-4, 3, -5], [4, -1, -1], [0, 0, 0], [1, 4, 1], [2, -1, -2], [0, 0, 0], [-3, 1, 1], [3, 1, 3], [0, 0, 0], [-2, 0, -1], [-1, 0, 0], [0, 0, 0], [-1, -5, 2], [-3, -1, 4], [0, 0, 0], [-4, 5, -3], [-2, 4, -3], [0, 0, 0], [-2, -1, 0], [5, -6, 7], [0, 0, 0], [-1, -2, 1], [4, -3, 5], [0, 0, 0], [-4, 1, 1], [-4, 1, -6], [0, 0, 0], [7, -5, -4], [-1, -4, -1], [0, 0, 0], [-2, 1, 2], [2, -4, -3], [0, 0, 0], [7, -2, 12], [3, -1, -1], [0, 0, 0], [-3, -1, -3], [-7, 7, -6], [0, 0, 0], [-9, 7, -5], [2, 0, 1], [0, 0, 0], [1, 0, 0], [0, 0, 7], [0, 0, 0], [8, -5, 6], [1, 5, -2], [0, 0, 0], [3, 1, -4], [-1, 8, -2], [0, 0, 0], [1, 1, -4], [4, -5, 3], [0, 0, 0], [2, -4, 3], [-11, 18, -17], [0, 0, 0], [-2, -5, -5], [2, 1, 0], [0, 0, 0], [-5, 6, -7], [0, 2, 1], [0, 0, 0], [10, 11, -1], [1, 2, -1], [0, 0, 0], [-4, 3, -5], [7, 3, -3], [0, 0, 0], [13, -3, -6], [4, -1, -1], [0, 0, 0], [4, -1, 6], [-1, -6, 5], [0, 0, 0], [4, -2, 7], [-7, 5, 4], [0, 0, 0], [1, 4, 1]]}