# Stored data for newform 3630.2.a.bs, downloaded from the LMFDB on 25 April 2024. {"label": "3630.2.a.bs", "space_label": "3630.2.a", "level": 3630, "weight": 2, "hecke_orbit": 45, "hecke_orbit_code": 198158383637859886, "dim": 4, "is_polredabs": true, "nf_label": "4.4.52625.1", "trace_hash": 2015245656387382905, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [116, 34, -29, -1, 1]], [13, [121, 42, -41, -2, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(-\\beta _{2}+\\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": 14520, "fricke_eigenval": -1, "atkin_lehner_string": "--+-", "analytic_conductor": 28.98569593372478, "hecke_ring_index": 1, "level_radical": 330, "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": [3630, 1, [1211, 727, 3511], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 11], "conrey_indexes": [1], "field_disc": 52625, "field_disc_factorization": [[5, 3], [421, 1]], "field_poly": [121, 19, -24, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.063", "prec": 17}, {"__RealLiteral__": 0, "data": "3.825", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "37.768", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "553.395", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 1], [11, -1]], "trace_display": [4, 4, -4, 1], "traces": [0, 4, 4, 4, 4, -4, 4, 1, 4, 4, -4, 0, 4, 2, 1, -4, 4, 11, 4, 1, -4, 1, 0, 0, 4, 4, 2, 4, 1, 9, -4, 17, 4, 0, 11, -1, 4, 8, 1, 2, -4, -11, 1, 1, 0, -4, 0, 10, 4, 31, 4, 11, 2, 11, 4, 0, 1, 1, 9, 10, -4, -10, 17, 1, 4, -2, 0, 9, 11, 0, -1, 10, 4, -8, 8, 4, 1, 0, 2, -7, -4, 4, -11, 32, 1, -11, 1, 9, 0, -23, -4, 48, 0, 17, 10, -1, 4, -2, 31, 0, 4, 3, 11, 29, 2, -1, 11, -42, 4, 0, 0, 8, 1, 3, 1, 0, 9, 2, 10, 14, -4, 0, -10, -11, 17, -4, 1, 15, 4, 1, -2, -35, 0, 4, 9, -4, 11, -11, 0, -9, -1, 10, 10, 0, 4, -9, -8, 31, 8, 29, 4, -32, 1, 11, 0, -17, 2, 28, -7, 11, -4, -65, 4, 9, -11, 0, 32, -10, 1, 34, -11, 1, 1, 13, 9, 1, 0, 10, -23, -34, -4, 56, 48, -10, 0, -8, 17, 0, 10, 1, -1, 24, 4, -22, -2, -2, 31, 19, 0, 17, 4, 9, 3, -44, 11, 11, 29, 0, 2, 0, -1, -10, 11, 10, -42, -1, 4, -52, 0, -8, 0, -32, 8, 15, 1, 4, 3, -22, 1, 10, 0, 0, 9, -23, 2, -10, 10, -7, 14, 4, -4, -43, 0, 4, -10, -31, -11, -37, 17, 32, -4, 4, 1, 0, 15, -11, 4, -12, 1, 22, -2, 9, -35, 10, 0, -11, 4, -23, 9, 1, -4, 9, 11, 48, -11, 0, 0, -38, -9, 17, -1, -12, 10, -3, 10, -1, 0, -89, 4, 11, -9, -2, -8, -41, 31, -10, 8, 0, 29, -10, 4, -16, -32, 3, 1, 10, 11, 65, 0, 29, -17, -30, 2, 18, 28, -1, -7, -43, 11, 0, -4, -42, -65, 44, 4, 2, 9, 0, -11, -50, 0, 53, 32, 8, -10, -9, 1, 26, 34, 3, -11, 0, 1, -28, 1, 0, 13, -18, 9, 40, 1, 2, 0, 9, 10, -10, -23, 14, -34, -44, -4, 3, 56, 0, 48, 8, -10, 18, 0, -11, -8, -61, 17, -19, 0, -4, 10, -43, 1, 9, -1, 15, 24, 20, 4, 0, -22, 1, -2, -9, -2, -55, 31, -35, 19, 7, 0, -48, 17, 4, 4, -9, 9, -39, 3, -4, -44, 0, 11, -4, 11, -11, 29, 20, 0, -32, 2, -9, 0, 20, -1, 20, -10, 10, 11, 11, 10, -110, -42, 0, -1, -70, 4, -6, -52, -9, 0, -70, -8, -17, 0, 31, -32, 18, 8, 23, 15, 29, 1, -9, 4, 0, 3, -32, -22, -48, 1, -54, 10, 11, 0, -45, 0, -21, 9, -17, -23, -14, 2, 46, -10, 28, 10, 0, -7, 1, 14, 11, 4, 36, -4, -71, -43, -65, 0, 2, 4, -52, -10, 9, -31, -106, -11, 26, -37, 0, 17, 20, 32, 69, -4, -10, 4, 44, 1, -3, 0, 34, 15, 1, -11, 18, 4, 1, -12, -29, 1, 0, 22, 13, -2, 27, 9, -50, -35, 1, 10, 38, 0, 38, -11, 10, 4, 22, -23, 42, 9, -34, 1, 0, -4, 50, 9, 56, 11, 0, 48, 27, -11, -10, 0, -64, 0, 32, -38, -8, -9, 3, 17, 38, -1, 0, -12, 28, 10, -3, -3, 1, 10, 53, -1, -35, 0, 24, -89, 0, 4, -82, 11, -22, -9, 8, -2, 0, -8, -2, -41, 22, 31, -12, -10, 19, 8, 5, 0, -14, 29, 17, -10, 4, 4, -57, -16, 9, -32, 0, 3, 76, 1, -44, 10, -80, 11, 12, 65, 11, 0, -80, 29, 21, -17, 0, -30, -37, 2, 4, 18, 0, 28, 117, -1, -57, -7, -10, -43, -15, 11, 53, 0, 10, -4, -55, -42, 9, -65, -1, 44, -89, 4, 0, 2, -52, 9, -43, 0, 35, -11, -8, -50, 33, 0, -14, 53, -32, 32, -4, 8, 90, -10, 15, -9, 0, 1, -4, 26, 4, 34, -6, 3, 122, -11, -22, 0, 12, 1, 11, -28, 10, 1, -42, 0, 1, 13, 0, -18, 9, 9, -144, 40, -23, 1, 14, 2, 97, 0, -10, 9, -18, 10, 62, -10, -7, -23, 70, 14, 0, -34, 4, -44, 90, -4, -24, 3, -43, 56, 9, 0, -57, 48, 4, 8, -51, -10, -17, 18, -31, 0, 0, -11, 73, -8, -37, -61, 6, 17, -29, -19, 32, 0, 12, -4, 75, 10, 4, -43, 32, 1, -102, 9, 0, -1, -52, 15, -20, 24, -11, 20, 5, 4, -18, 0, -12, -22, -7, 1, 17, -2, 22, -9, -64, -2, 0, -55, 9, 31, -28, -35, 111, 19, 10, 7, 62, 0, -100, -48, -11, 17, -5, 4, 60, 4, -23, -9, 0, 9, 65, -39, 1, 3, -29, -4, 61, -44, 9, 0, -9, 11, -16, -4, 48, 11, 18, -11, 55, 29, 0, 20, 92, 0, -58, -32, -38, 2, 19, -9, 10, 0, 17, 20, -4, -1, 63, 20, -12, -10, -34, 10, 0, 11, -3, 11, -115, 10, -41, -110, -1, -42, -63, 0, 19, -1, -89, -70, -94, 4, -13, -6, 11, -52, 0, -9, 127, 0, -2, -70, -1, -8, -68, -17, -41, 0, -61, 31, 9, -32, -10, 18, -30, 8, 80, 23, 0, 15, 65, 29, 34, 1, -10, -9, 107, 4, 14, 0, -16, 3, -56, -32, -179, -22, 3, -48, -82, 1, 0, -54, 10, 10, -80, 11, 69, 0, 65, -45, -70, 0, 8, -21, 29, 9, 51, -17, 54, -23, -30, -14, 0, 2, -94, 46, 18, -10, -17, 28, 165, 10, -1, 0, -36, -7, -4, 1, -43, 14, 11, 11, -24, 4, 0, 36, 36, -4, 7, -71, -42, -43, 22, -65, 111, 0, 44, 2, 11, 4, -31, -52, 2, -10, -88, 9, 0, -31, 0, -106, -41, -11, -19, 26, -50, -37, 45, 0, 31, 17, 53, 20, -17, 32, 71, 69, 8, -4, 0, -10, 45, 4, -9, 44, 24, 1, 12, -3, 26, 0, 24, 34, 44, 15, 3, 1, 18, -11, 96, 18, 0, 4, -11, 1, -116, -12, -28, -29, -86, 1, -140, 0, 0, 22, -40, 13, 9, -2, -18, 27, -14, 9, 0, -50, 40, -35, -23, 1, 53, 10, 2, 38, 10, 0, -98, 38, 9, -11, -97, 10, 37, 4, -10, 22, 0, -23, 14, 42, 14, 9, -2, -34, 1, 1, -44, 0, 16, -4, 0, 50, 3, 9, 52, 56, 2, 11, 0, 0, -67, 48, -55, 27, 8, -11, -139, -10, 137, 0, 18, -64, -55, 0, 32, 32, -11, -38, 21, -8, 0, -9, -61, 3, -15, 17, -63, 38, -19, -1, -85, 0, 27, -12, -4, 28, 20, 10, -79, -3, -43, -3, 0, 1, 22, 10, 9, 53, -54, -1, 146, -35, 15, 0, -10, 24, 14, -89, 20, 0, 66, 4, 2, -82, 0, 11, -134, -22, -60, -9, 1, 8, 12, -2, 23, 0, -9, -8, 30, -2, -27, -41, -55, 22, 10, 31, 0, -12, -35, -10, -105, 19, 96, 8, 7, 5, 4, 0, -26, -14, -48, 29, -31, 17, -4, -10, 4, 4, 0, 4, 35, -57, -9, -16, 43, 9, 120, -32, -39, 0, -23, 3, -24, 76, -4, 1, -125, -44, 55, 10, 0, -80, 36, 11, 31, 12, -4, 65, 63, 11, -17, 0, -11, -80, 37, 29, -13, 21, 20, -17, -2, 0, 0, -30, -32, -37, -44, 2, 9, 4, -9, 18, -31, 0, -4, 28, 20, 117, 65, -1, 94, -57, 20, -7, 0, -10, 4, -43, 10, -15, 22, 11, -114, 53, 11, 0, 135, 10, -45, -4, -110, -55, -12, -42, 12, 9, 0, -65, -15, -1, 108, 44, -70, -89, -22, 4, 88, 0, -6, 2, 33, -52, 31, 9, -9, -43, 10, 0, 0, 35, -70, -11, -36, -8, -10, -50, -17, 33, -18, 0, 34, -14, 31, 53, 11, -32, 80, 32, 18, -4, 0, 8, 8, 90, 23, -10, -214, 15, 127, -9, 29, 0, 127, 1, -1, -4, -9, 26, 110, 4, -8, 34, 0, -6, -9, 3, 35, 122, -32, -11, 19, -22, 25, 0, -48, 12, -29, 1, 58, 11, -54, -28, 64, 10, 0, 1, 11, -42, 131, 0, 30, 1, -45, 13, 38, 0, -102, -18, -21, 9, -96, 9, -142, -144, -17, 40, 0, -23, -5, 1, -14, 14, 150, 2, 12, 97, 46, 0, 105, -10, 88, 9, 28, -18, 3, 10, 0, 62, 0, -10, -89, -7, -53, -23, 1, 70, -18, 14, 22, 0, 11, -34, 19, 4, 89, -44, 36, 90, 10, -4, 0, -24, -71, 3, -11, -43, 145, 56, -65, 9, -2, 0, 23, -57, 2, 48, 85, 4, 135, 8, -52, -51, 0, -10, 41, -17, 9, 18, 49, -31, -31, 0, -106, 0, 10, -11, -160, 73, 26, -8, -37, -37, 103, -61, 0, 6, 1, 17, 40, -29, 20, -19, 91, 32, 10, 0, 69, 12, 47, -4, 122, 75, -10, 10, 16, 4, 0, -43, 44, 32, 208, 1, 28, -102, -3, 9, -232, 0, 123, -1, 34, -52, -26, 15, -10, -20, 1, 24, 0, -11, 145, 20, 18, 5, -65, 4, 26, -18, 1, 0, 60, -12, 67, -22, -29, -7, 102, 1, -78, 17, 0, -2, -59, 22, 30, -9, 13, -64, -38, -2, -55, 0, 27, -55, -18, 9, -33, 31, -50, -28, -44, -35, 0, 111, 1, 19, 8, 10, 2, 7, 38, 62, 26, 0, 43, -100, 38, -48, 122, -11, -93, 17, 10, -5, 0, 4, -102, 60, 22, 4, 21, -23, -110, -9, 42, 0, -22, 9, 124, 65, -34, -39, 131, 1, -44, 3, 0, -29, 117, -4, 94, 61, 50, -44, -2, 9, 137, 0, 56, -9, -72, 11, -120, -16, 0, -4, 63, 48, 0, 11, 27, 18, 98, -11, 50, 55, -10, 29, 22, 0, 215, 20, -64, 92, -53, 0, -118, -58, 32, -32, 0, -38, -20, 2, -8, 19, -62, -9, 42, 10, 3, 0, 196, 17, 9, 20, 38, -4, 40, -1, 215, 63, 0, 20, -26, -12, -57, -10, 28, -34, 48, 10, -204, 0, -3, 11, 53, -3, -29, 11, 1, -115, -65, 10, 0, -41, 53, -110, -15, -1, 180, -42, -35, -63, 28, 0, 27, 19, 24, -1, -17, -89, 69, -70, 0, -94, 0, 4, -63, -13, -82, -6, -71, 11, 18, -52, -22, 0, 95, -9, 64, 127, 8, 0, -40, -2, -75, -70, 0, -1, -64, -8, 56, -68, -2, -17, -179, -41, 65, 0, 22, -61, 146, 31, -9, 9, -12, -32, 160, -10, 0, 18, 19, -30, 10, 8, -114, 80, 5, 23, 117, 0, 17, 15, -14, 65, 106, 29, -22, 34, 17, 1, 0, -10, 44, -9, 4, 107, 222, 4, -162, 14, -57, 0, -3, -16, -52, 3, 9, -56, -25, -32, -33, -179, 0, -22, -165, 3, -18, -48, 76, -82, 107, 1, -8, 0, -44, -54, 60, 10, 15, 10, -80, -80, -18, 11, 0, 69, 12, 0, 20, 65, -18, -45, 11, -70, -67, 0, -93, 8, -80, -21, -20, 29, 61, 9, 21, 51, 0, -17, 70, 54, 0, -23, 19, -30, 61, -14, -37, 0, 6, 2, 6, -94, 4, 46, -33, 18, -3, -10, 0, -17, -146, 28, 43, 165, 117, 10, 61, -1, 80, 0, -57, -36, -9, -7, -114, -4, -10, 1, 105, -43, 0, 14, -15, 11, 40, 11, 0, -24, 53, 4, 94, 0, -20, 36, 10, 36, 192, -4, 22, 7, -55, -71, 0, -42, -20, -43, 9, 22, -20, -65, -164, 111, -1, 0, 52, 44, -197, 2, -89, 11, 39, 4, 9, -31, 0, -52, -7, 2, 119, -10, -52, -88, 55, 9, -129, 0, -43, -31, 2, 0, -186, -106, 35, -41, 242, -11, 0, -19, -8, 26, 53, -50, -7, -37, 33, 45, 120, 0, -92, 31, -14, 17, 48, 53, -13, 20, -32, -17, 0, 32, -120, 71, -4, 69, 57, 8, -45, -4, 90, 0, 58, -10, 9, 45, 15, 4, 151, -9, -83, 44, 0, 24, 39, 1, -24, 12, -4, -3, -10, 26, 19, 0, 4, 24, 92, 34, 106, 44, -6, 15, 72, 3, 0, 1, 122, 18, 122, -11, 109, 96, -22, 18, 4, 0, -35, 4, 12, -11, 71, 1, -131, -116, 11, -12, 0, -28, -20, -29, 10, -86, -53, 1, -20, -140, -42, 0, 39, 0, 100, 22, 1, -40, 32, 13, 7, 9, 0, -2, -54, -18, 33, 27, 9, -14, -52, 9, 1, 0, -144, -50, 5, 40, -20, -35, -23, -23, 122, 1, 0, 53, 14, 10, -20, 2, 149, 38, 97, 10, 34, 0, 0, -98, -10, 38, 162, 9, 62, -11, -18, -97, 0, 10, -11, 37, 62, 4, -75, -10, 79, 22, -7, 0, 110, -23, 8, 14, 70, 42, 56, 14, 9, 9, 0, -2, -8, -34, -160, 1, 4, 1, 94, -44, 70, 0, 90, 16, -90, -4, 28, 0, -24, 50, 6, 3, 0, 9, -43, 52, 80, 56, 91, 2, 9, 11, -230, 0, -135, 0, -57, -67, 20, 48, 70, -55, 4, 27, 0, 8, 202, -11, -51, -139, 17, -10, 76, 137, -17, 0, 20, 18, -39, -64, -31, -55, 133, 0, -58, 32, 0, 32, 59, -11, -18, -38, 73, 21, -42, -8, 42, 0, -37, -9, -23, -61, -120, 3, 6, -15, -120, 17, 0, -63, -29, 38, -91, -19, 117, -1, 32, -85, 40, 0, 9, 27, 12, -12, -116, -4, 123, 28, 75, 20, 0, 10, -60, -79, 4, -3, 136, -43, -14, -3, 32, 0, 144, 1, 54, 22, -102, 10, -77, 9, 48, 53, 0, -54, 44, -1, -24, 146, -52, -35, 54, 15, 50, 0, -20, -10, -12, 24, 111, 14, -11, -89, 137, 20, 0, 0, 5, 66, 115, 4, 45, 2, -18, -82, 57, 0, 145, 11, -12, -134, 21, -22, -208, -60, -7, -9, 0, 1, -115, 8, 17, 12, -17, -2, -114, 23, 22, 0, -143, -9, 14, -8, -64, 30, 49, -2, -88, -27, 0, -41, -46, -55, 59, 22, 9, 10, 68, 31, 28, 0, -28, -12, 183, -35, -216, -10, 111, -105, -6, 19, 0, 96, 10, 8, 170, 7, 80, 5, 62, 4, -1, 0, -30, -26, -100, -14, -47, -48, 27, 29, -11, -31, 0, 17, 24, -4, -5, -10, -6, 4, -36, 4, 60, 0, 38, 4, 156, 35, -23, -57, 71, -9, 72, -16, 0, 43, 62, 9, -75, 120, 65, -32, -81, -39, -150, 0, 1, -23, -57, 3, -2, -24, -29, 76, -202, -4, 0, 1, 61, -125, 52, -44, -40, 55, 9, 10, 97, 0, -70, -80, -9, 36, 65, 11, -56, 31, -16, 12, 0, -4, 106, 65, 48, 63, -70, 11, -110, -17, 18, 0, -26, -11, -57, -80, 55, 37, -14, 29, -38, -13, 0, 21, 35, 20, -152, -17, 92, -2, -178, 0, -20, 0, -58, -30, 50, -32, 100, -37, -38, -44, -69, 2, 0, 9, 19, 4, 130, -9, -147, 18, 10, -31, -40, 0, -86, -4, 17, 28, -36, 20, -44, 117, -4, 65, 0, -1, 66, 94, 63, -57, 3, 20, 272, -7, -12, 0, -41, -10, 21, 4, -34, -43, -85, 10, -249, -15, 0, 22, -38, 11, -1, -114, -3, 53, 42, 11, -80, 0, -115, 135, -18, 10, -18, -45, -41, -4, 302, -110, 0, -55, -1, -12, -8, -42, -148, 12, -63, 9, 136, 0, 29, -65, 19, -15, 81, -1, 42, 108, -89, 44, 0, -70, 26, -89, -94, -22, -92, 4, -126, 88, -13, 0, 189, -6, -60, 2, 11, 33, -94, -52, -27, 31, 0, 9, -23, -9, 24, -43, 127, 10, 50, 0, -114, 0, -2, 35, -103, -70, -20, -11, -1, -36, 210, -8, 0, -10, -68, -50, -211, -17, -38, 33, -41, -18, 128, 0, -156, 34, -61, -14, -38, 31, 87, 53, 9, 11, 0, -32, -119, 80, -10, 32, -127, 18, 133, -4, -30, 0, 108, 8, -22, 8, 80, 90, 112, 23, 17, -10, 0, -214, -42, 15, 94, 127, 65, -9, 105, 29, 127, 0, 34, 127, 114, 1, -172, -1, -10, -4, -99, -9, 0, 26, 107, 110, -72, 4, -16, -8, 14, 34, -50, 0, 117, -6, -16, -9, 6, 3, -102, 35, -56, 122, 0, -32, 67, -11, -179, 19, -76, -22, 0, 25, 3, 0, 73, -48, 190, 12, -82, -29, -27, 1, -180, 58, 0, 11, 1, -54, 50, -28, 10, 64, 64, 10, 64, 0, -80, 1, 215, 11, 64, -42, 69, 131, -54, 0, 0, 30, 65, 1, -32, -45, -93, 13, -70, 38, 111, 0, -45, -102, 8, -18, -94, -21, -7, 9, 29, -96, 0, 9, -3, -142, 51, -144, 5, -17, -101, 40, 54, 0, -38, -23, -139, -5, -30, 1, 39, -14, -91, 14, 0, 150, 34, 2, -93, 12, -94, 97, -52, 46, -28, 0, 18, 105, 18, -10, 164, 88, -17, 9, 3, 28, 0, -18, 165, 3, 16, 10, -168, 0, -1, 62, 101, 0, -80, -10, -36, -89, -80, -7, -53, -53, -4, -23, 0, 1, -41, 70, -43, -18, 35, 14, -58, 22, 11, 0, -9, 11, 4, -34, -24, 19, 40, 4, 42, 89, 0, -44, 96, 36, 0, 90, 36, 10, 44, -4, 56, 0, 7, -24, 82, -71, 88, 3, -42, -11, -185, -43, 0, 145, 22, 56, 47, -65, -40, 9, 111, -2, -174, 0, -8, 23, 44, -57, 58, 2, -220, 48, 11, 85, 0, 4, -9, 135, -31, 8, 20, -52, 271, -51, 2, 0, -22, -10, -262, 41, -88, -17, 260, 9, -22, 18, 0, 49, -112, -31, 132, -31, 0, 0, 12, -106, 130, 0, -41, 10, 84, -11, -112, -160, -19, 73, 103, 26, 0, -8, -50, -37, -126, -37, -5, 103, 45, -61, -51, 0, 145, 6, 31, 1, 14, 17, -90, 40, 53, -29, 0, 20, -48, -19, -17, 91, 84, 32, -170, 10, 71, 0, -118, 69, -4, 12, 8, 47, 186, -4], "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": "330.2.m.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, 0], [1, 0, 0, 0], [1, 0, 0, 0], [1, 0, 0, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [1, 0, 0, 0], [0, 0, -1, 1], [1, 0, 0, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [1, -1, 0, 1], [0, 0, -1, 1], [-1, 0, 0, 0], [1, 0, 0, 0], [2, 1, -1, 0], [1, 0, 0, 0], [1, 1, 2, 0], [-1, 0, 0, 0], [0, 0, -1, 1], [0, 0, 0, 0], [0, -1, 0, -1], [1, 0, 0, 0], [1, 0, 0, 0], [1, -1, 0, 1], [1, 0, 0, 0], [0, 0, -1, 1], [0, 0, -4, -1], [-1, 0, 0, 0], [4, 0, 0, -1], [1, 0, 0, 0], [0, 0, 0, 0], [2, 1, -1, 0], [0, 0, 1, -1], [1, 0, 0, 0], [1, 2, -1, 0], [1, 1, 2, 0], [1, -1, 0, 1], [-1, 0, 0, 0], [0, -2, 5, -1], [0, 0, -1, 1], [2, -1, 3, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, -1, 0, -1], [3, 1, 2, -1], [1, 0, 0, 0], [12, -1, 8, 0], [1, 0, 0, 0], [2, 1, -1, 0], [1, -1, 0, 1], [4, 0, 3, -1], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, 1], [1, 1, 2, 0], [0, 0, -4, -1], [-1, 0, -7, 0], [-1, 0, 0, 0], [-4, 0, -2, -2], [4, 0, 0, -1], [0, 0, -1, 1], [1, 0, 0, 0], [-1, 1, 0, -1], [0, 0, 0, 0], [2, -2, -2, 1], [2, 1, -1, 0], [0, -1, 0, -1], [0, 0, 1, -1], [2, 2, 0, 0], [1, 0, 0, 0], [-6, 0, -8, 0], [1, 2, -1, 0], [1, 0, 0, 0], [1, 1, 2, 0], [0, 0, 0, 0], [1, -1, 0, 1], [-4, 3, -3, 0], [-1, 0, 0, 0], [1, 0, 0, 0], [0, -2, 5, -1], [8, 0, 0, 0], [0, 0, -1, 1], [-2, -1, 1, 0], [2, -1, 3, 0], [0, 0, -4, -1], [0, 0, 0, 0], [-8, 2, -3, -1], [-1, 0, 0, 0], [11, -1, -3, 1], [0, -1, 0, -1], [4, 0, 0, -1], [3, 1, 2, -1], [-1, -1, -2, 0], [1, 0, 0, 0], [-2, 0, -4, 2], [12, -1, 8, 0], [0, 0, 0, 0], [1, 0, 0, 0]]}