# Stored data for newform 1250.2.a.f, downloaded from the LMFDB on 25 April 2024.
{"label": "1250.2.a.f", "space_label": "1250.2.a", "level": 1250, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170408162, "dim": 4, "is_polredabs": true, "nf_label": "4.4.7625.1", "trace_hash": 1640883841848611846, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [16, -4, -9, 1, 1]]], "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}+\\beta _{1}q^{6}+(-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": 5000, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 9.981300252660048, "hecke_ring_index": 1, "level_radical": 10, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [1250, 1, [627], [1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 7625, "field_disc_factorization": [[5, 3], [61, 1]], "field_poly": [16, 4, -9, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.785", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "40.188", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "688.938", "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], [5, 1]], "trace_display": [-4, -1, 0, -2], "traces": [0, 4, -4, -1, 4, 0, 1, -2, -4, 7, 0, -2, -1, -11, 2, 0, 4, -12, -7, -5, 0, -7, 2, 4, 1, 0, 11, -10, -2, 15, 0, -12, -4, -7, 12, 0, 7, -12, 5, -11, 0, 13, 7, -6, -2, 0, -4, -2, -1, -2, 0, 13, -11, -11, 10, 0, 2, 0, -15, 0, 0, 8, 12, -21, 4, 0, 7, -22, -12, -31, 0, -22, -7, -21, 12, 0, -5, 26, 11, -10, 0, -16, -13, 24, -7, 0, 6, -25, 2, -5, 0, -12, 4, 23, 2, 0, 1, -22, 2, -21, 0, 8, -13, -11, 11, 0, 11, 13, -10, 15, 0, -32, -2, 9, 0, 0, 15, 12, 0, -19, 0, -18, -8, -27, -12, 0, 21, -12, -4, -1, 0, -12, -7, -15, 22, 0, 12, 18, 31, -35, 0, -7, 22, -12, 7, 0, 21, 18, -12, -15, 0, -42, 5, -6, -26, 0, -11, -32, 10, -56, 0, -12, 16, -11, 13, 0, -24, -17, 7, 17, 0, 10, -6, 39, 25, 0, -2, 50, 5, -10, 0, 23, 12, 43, -4, 0, -23, -19, -2, 30, 0, -32, -1, 19, 22, 0, -2, -7, 21, 5, 0, -17, -8, 0, 13, 0, 11, 47, -11, -15, 0, 13, -11, 3, -13, 0, 10, 16, -15, 44, 0, 43, 32, -26, 2, 0, -9, 8, 0, -30, 0, 11, -15, -1, -12, 0, 0, 30, 19, 35, 0, -12, 18, -6, 8, 0, 27, 15, 12, 29, 0, -22, -21, -12, 12, 0, 4, 28, 1, 21, 0, 40, 12, 49, 7, 0, 15, 50, -22, 50, 0, -17, -12, 63, -18, 0, -31, 3, 35, -51, 0, 23, 7, 14, -22, 0, 12, 26, -7, -2, 0, 18, -21, 44, -18, 0, 12, 30, 15, 34, 0, -22, 42, 108, -5, 0, 6, -2, 26, -1, 0, -7, 11, -51, 32, 0, -10, -27, 56, 0, 0, 78, 12, 50, -16, 0, 11, -25, -13, 26, 0, 43, 24, -1, 17, 0, -7, 8, -17, 29, 0, 16, -10, -10, 6, 0, -39, 73, -25, 25, 0, -20, 2, -26, -50, 0, -5, -9, 10, -45, 0, 19, -23, 22, -12, 0, -43, -32, 4, 14, 0, 28, 23, -26, 19, 0, 2, -20, -30, 0, 0, 18, 32, -51, 1, 0, -19, 17, -22, 10, 0, -7, 2, -7, 7, 0, -21, -42, -5, -60, 0, 73, 17, 18, 8, 0, 0, 21, -13, 35, 0, -32, -11, 20, -47, 0, 11, 45, 15, -50, 0, -42, -13, -21, 11, 0, -3, -69, 13, 63, 0, -62, -10, -41, -16, 0, 15, 15, -44, -60, 0, 4, -43, 4, -32, 0, 26, -45, -2, 5, 0, 26, 9, 18, -8, 0, 0, -77, 30, 25, 0, -27, -11, -1, 15, 0, 1, 18, 12, 86, 0, 3, 0, -22, -30, 0, -19, 17, -35, -15, 0, 53, 12, 43, -18, 0, 6, -12, -8, 64, 0, -2, -27, -60, -15, 0, -12, -14, -29, 5, 0, 48, 22, -41, 21, 0, 12, -8, -12, 20, 0, 38, -4, 65, -28, 0, -1, 26, -21, -56, 0, 48, -40, -26, -12, 0, -49, 11, -7, -18, 0, -70, -15, -47, -50, 0, 22, -25, -50, -24, 0, 73, 17, -82, 12, 0, -63, -27, 18, 34, 0, -35, 31, -10, -3, 0, -35, -27, 51, 64, 0, -9, -23, 9, -7, 0, -14, -2, 22, -45, 0, -77, -12, 33, -26, 0, 7, -2, 2, 114, 0, -52, -18, 28, 21, 0, -44, -62, 18, -75, 0, 8, -12, 59, -30, 0, -15, -35, -34, -60, 0, 43, 22, -91, -42, 0, -108, 33, 5, 25, 0, -12, -6, 64, 2, 0, -26, 13, 1, -30, 0, -40, 7, -80, -11, 0, 51, -60, -32, 21, 0, 8, 10, -107, 27, 0, -56, -7, 0, -11, 0, 8, -78, -126, -12, 0, -50, 8, 16, 20, 0, 61, -11, 19, 25, 0, 13, -103, -26, -50, 0, 73, -43, -7, -24, 0, 1, 50, -17, -41, 0, -69, 7, 59, -8, 0, 17, -47, -29, 11, 0, 33, -16, 44, 10, 0, 10, 65, -6, 79, 0, -7, 39, 53, -73, 0, 25, -69, -25, 34, 0, -27, 20, 35, -2, 0, 26, -49, 50, 45, 0, -30, 5, -62, 9, 0, -10, -20, 45, -35, 0, -37, -19, -57, 23, 0, -22, -22, 12, 7, 0, 23, 43, -36, 32, 0, -4, 86, -14, 40, 0, 50, -28, -21, -23, 0, 26, 47, -19, 31, 0, 13, -2, -47, 20, 0, 30, 13, 0, 43, 0, 28, -18, -60, -32, 0, 51, -60, -1, 0, 0, 8, 19, -6, -17, 0, 22, 56, -10, -15, 0, -14, 7, -60, -2, 0, 7, -92, -7, -6, 0, -12, 21, 8, 42, 0, 5, 8, 60, -19, 0, 25, -73, 38, -17, 0, -18, 75, -8, -5, 0, 68, 0, -72, -21, 0, 13, -45, -35, 9, 0, 3, 32, 4, 11, 0, -20, -47, 47, 35, 0, -32, -11, 51, -45, 0, -15, -20, 50, -90, 0, -31, 42, 63, 13, 0, 21, -16, -11, 4, 0, 43, 3, -46, 69, 0, -13, 13, -63, 25, 0, -9, 62, 94, 10, 0, 41, -7, 16, -10, 0, 8, -15, -51, -15, 0, 44, 38, 60, -21, 0, -62, -4, -41, 43, 0, -4, 48, 32, -44, 0, -2, -26, -15, 45, 0, 2, -21, -5, -50, 0, -2, -26, 93, -9, 0, -18, -17, 8, -51, 0, -102, 0, -52, 77, 0, -30, -4, -25, 80, 0, 48, 27, 108, 11, 0, 1, 27, -15, 25, 0, 90, -1, 103, -18, 0, -12, -62, -86, 59, 0, -12, -3, 28, 0, 0, 22, 103, 30, -11, 0, -47, 19, -6, -17, 0, 35, 25, 15, -69, 0, 22, -53, -96, -12, 0, -43, -2, 18, 75, 0, 78, -6, -5, 12, 0, 8, -7, -64, -80, 0, 100, 2, -76, 27, 0, 60, 11, 15, 24, 0, 33, 12, -122, 14, 0, 29, 48, -5, 45, 0, -84, -48, -30, -22, 0, 41, 0, -21, -30, 0, 68, -12, 54, 8, 0, 12, -8, -20, 15, 0, 58, -38, 61, 4, 0, -65, 30, 28, -45, 0, -12, 1, -11, -26, 0, 21, 31, 56, 55, 0, -2, -48, 90, 40, 0, 26, -5, 12, -10, 0, -22, 49, 119, -11, 0, 7, 106, 18, 24, 0, -37, 70, -16, 15, 0, 47, 11, 50, -5, 0, 23, -22, -10, 25, 0, 50, -25, 24, -46, 0, -12, -73, 144, -17, 0, 82, 38, -12, -24, 0, -27, 63, 59, 27, 0, -18, 63, -34, 41, 0, -7, 35, -36, -31, 0, 10, 10, 3, -40, 0, -49, 35, 128, 27, 0, -51, 13, -64, -1, 0, -110, 9, -6, 23, 0, -9, -12, 7, 50, 0, -35, 14, -37, 2, 0, -22, -55, 45, -9, 0, -77, 77, 14, 12, 0, -33, -19, 26, -91, 0, -47, -7, 44, 2, 0, -2, 30, -114, -30, 0, -90, 52, -36, 18, 0, -28, 20, -21, -39, 0, 108, 44, 93, 62, 0, -18, 31, 75, -1, 0, 43, -8, 84, 12, 0, -59, 18, 30, 70, 0, -117, 15, 194, 35, 0, 34, -10, 60, -60, 0, -72, -43, -112, -22, 0, 91, 71, 42, -27, 0, -22, 108, -6, -33, 0, -5, -17, -25, 84, 0, 56, 12, -51, 6, 0, -64, 195, -2, -150, 0, -42, 26, 119, -13, 0, -1, -42, 30, -10, 0, 38, 40, -12, -7, 0, 80, 0, 11, 30, 0, -75, -51, -90, 60, 0, 32, 40, -21, 5, 0, 23, -8, 108, -10, 0, 107, 36, -27, 30, 0, -64, 56, -25, 7, 0, 0, 88, 11, -30, 0, -19, -8, 99, 78, 0, 126, 9, 12, -110, 0, 58, 50, 18, -8, 0, -16, 68, -20, 139, 0, -77, -61, 144, 11, 0, -19, -57, -25, -33, 0, 70, -13, -97, 103, 0, 26, 15, 50, -60, 0, -37, -73, 60, 43, 0, 7, 13, 24, -136, 0, 6, -1, 68, -50, 0, 17, 76, 41, 79, 0, -60, 69, 30, -7, 0, -59, -5, 8, -25, 0, 38, -17, -9, 47, 0, 29, -120, -11, -166, 0, -97, -33, 0, 16, 0, -44, -47, -10, -42, 0, 48, -10, -56, -65, 0, 6, 33, -79, -4, 0, -2, 7, -112, -39, 0, -53, -30, 73, 4, 0, -187, -25, -165, 69, 0, 25, -44, -34, 10, 0, 23, 27, -17, -20, 0, -35, 61, 2, -20, 0, -47, -26, -76, 49, 0, -50, 15, -45, 93, 0, -45, 30, 19, -5, 0, 62, -2, -9, -20, 0, 0, 10, -26, 20, 0, -45, 20, 35, -165, 0, -4, 37, 98, 19, 0, 57, -152, -23, -71, 0, -57, 22, -51, 22, 0, -12, 16, -7, 90, 0, -37, -23, 55, -43, 0, 36, 2, -32, -76, 0, 38, 4, -82, -86, 0, 14, 31, -40, 75, 0, -67, -50, 54, 28, 0, 21, -67, 23, -20, 0, 121, -26, 9, -47, 0, 19, -80, -31, -120, 0, -60, -13, -26, 2, 0, 47, -69, -20, -6, 0, -27, -30, 115, -13, 0, 0, 11, -43, -64, 0, -59, -28, -11, 18, 0, 60, 25, 32, -5, 0, 78, -51, -12, 60, 0, 1, 30, 0, -30, 0, -52, -8, 24, -19, 0, 6, 131, 17, -105, 0, 11, -22, 84, -56, 0, 10, 117, 15, -20, 0, 18, 14, -162, -7, 0, 60, -112, 2, 44, 0, -137, -7, 37, 92, 0, 7, -85, 6, 55, 0, -169, 12, -61, -21, 0, -8, -138, -42, 56, 0, 3, -5, -20, -8, 0, -60, 23, 19, 63, 0, 53, -25, -135, 73, 0, -38, -42, 17, 5, 0, 105, 18, -46, -75, 0, 8, -94, 5, 90, 0, 78, -68, -127, 0, 0, 72, 58, 21, 69, 0, -22, -13, 8, 45, 0, 35, -52, -9, 90, 0, 73, -3, -12, -32, 0, -4, -125, -11, 91, 0, 68, 20, -10, 47, 0, -47, 98, -35, 50, 0, 106, 32, -56, 11, 0, -51, 38, 45, -70, 0, -57, 15, -35, 20, 0, -50, -111, 90, -126, 0, -63, 31, 23, -42, 0, -63, 131, -13, -86, 0, 110, -21, 19, 16, 0, 11, 38, -4, -85, 0, 78, -43, 18, -3, 0, 46, -175, -69, 55, 0, -40, 13, -77, -13, 0, 63, 31, -25, -141, 0, 138, 9, 69, -62, 0, -94, 41, -10, 65, 0, 213, -41, 24, 7, 0, -16, -133, 10, 21, 0, -57, -8, -17, 15, 0, 51, 8, 15, 128, 0, 73, -44, 24, -38, 0, -60, -34, 21, -15, 0, 28, 62, -62, 4, 0, 41, -130, -43, -5, 0, 16, 4, -11, -48, 0, -32, -97, 44, 144, 0, 68, 2, -216, 26, 0, 15, 18, -45, -35, 0, 205, -2, -77, 21, 0, 5, 160, 50, -39, 0, 108, 2, -52, 26, 0, -93, 115, 9, 130, 0, 48, 18, -9, 17, 0, -8, -50, 51, -44, 0, -242, 102, -6, 0, 0, 52, -85, -77, 160, 0, -82, 30, 63, 4, 0, 25, -39, -80, -31, 0, -57, -48, 115, -27, 0, -108, -197, -11, -58, 0, 178, -1, 25, -27, 0, 15, 15, -25, 84, 0, -167, -90, 74, 1, 0, -103, 88, 18, -110, 0, -182, 12, -56, 62, 0, 86, -122, -59, 60, 0, -10, 12, -155, 3, 0, -28, 51, 0, 25, 0, 41, -22, -222, -103, 0, -30, 121, 11, 89, 0, 33, 47, -22, -19, 0, 6, -207, 17, -6, 0, 18, -35, -21, -25, 0, -15, -50, 69, -35, 0, 8, -22, 178, 53, 0, 96, 26, 12, 39, 0, -112, 43, 79, 2, 0, -18, 25, -75, 66, 0, -87, -78, -60, 6, 0, 5, -10, -12, 25, 0, 8, -8, 103, 7, 0, 64, 50, 80, 189, 0, 138, -100, 18, -2, 0, 76, 76, -27, -90, 0, 90, -60, -201, -11, 0, -15, -155, -24, 80, 0, -42, -33, -262, -12, 0, 122, 158, -14, -81, 0, 36, -29, -36, -48, 0, 5, 63, -45, 135, 0, -195, 84, -106, 48, 0, 30, -3, 22, -29, 0, 38, -41, -19, 0, 0, 21, 28, 30, 34, 0, -22, -68, 111, 12, 0, -54, -2, -8, -75, 0, 113, -12, -5, 8, 0, 20, -74, -15, 105, 0, 63, -58, -81, 38, 0, -61, -20, -4, -251, 0, -67, 65, 79, -30, 0, -28, 99, 45, -60, 0, 40, 12, 29, -1, 0, 11, 84, 26, 120, 0, 125, -21, 83, -31, 0, -56, 96, -55, -10, 0, 118, 2, 169, 48, 0, -90, -72, -40, 75, 0, 91, -26, -42, 5, 0, -12, -13, 10, 255, 0, 76, 22, 48, -49, 0, -119, -52, 11, 25, 0, -7, -7, -21, -106, 0, -18, -120, -24, 9, 0, -164, 37, 38, -70, 0, 16, -115, -15, -70, 0, -107, -47, -50, -11, 0, -50, -22, 5, 113, 0, 88, -23, 129, 22, 0, 10, 75, -25, 6, 0, 90, -50, -141, 25, 0, -24, -55, 46, 86, 0, -107, 12, 33, 73, 0, -144, -4, 17, -86, 0, 83, -82, 33, -38, 0, 12, -69, 24, 215, 0, -2, 27, -110, -63, 0, -59, 65, -27, -165, 0, 3, 18, -67, -63, 0, 34, -10, -41, -176, 0, 116, 7, 59, -35, 0, 36, -42, 31, -162, 0, 61, -10, 89, -10, 0, -3, 190, 40, 171, 0, -17, 49, -100, -35, 0, -128, 81, -27, -36, 0, -47, 51, 60, -13, 0, 64, 123, 1, -70, 0, -160, 110, -76, -9, 0, 6, -234, -23, -56, 0, 98, 9, -32, 12, 0, -7, -124, -50, 59, 0, -10, 35, 158, -14, 0, 37, -97, -2, 5, 0, 143, 22, 94, 55, 0, -45, -71, 9, 44, 0, -127, 77, 33, -77, 0, -14, -82, -12, -75, 0, -50, 33, -111, 19, 0, -26, -117, 91, 110, 0, -50, 47, -24, 7, 0, -44, -220, -2, 95, 0, -52, 2, 59, -30, 0, 114, 41, 30, 184, 0, 31, 90, -167, -52, 0, 36, 140, -18, -24, 0, 58, 28, 44, -20, 0, 21, -40, 39, 25, 0, 153, -108, 121, -44, 0, -93, 38, -62, 5, 0, -127, 18, -2, -31, 0, -75, 173, 1, -84, 0, 68, -43, 95, 8, 0, -84, 112, -12, 39, 0, -12, 59, -157, -18, 0, -30, 28, -70, -237, 0, -67, 117, 9, -15, 0, -194, -148, -35, 90, 0, -147, -34, 29, 10, 0, -60, -9, 60, -125, 0, -76, 72, 0, 43, 0, 112, 70, 22, -12, 0, 38, -91, 50, -71, 0, -42, 33, 27, -40, 0, 130, 22, 109, -108, 0, 6, 85, 33, -69, 0, 131, 5, 8, 17, 0, 25, 93, -84, -66, 0, -42, -56, 130, -12, 0, 51, -62, -6, 130, 0, 0, 64, 18, -195, 0, 2, -40, 150, -75, 0, -187, 42, -92, -26, 0, -119, 53, 13, -6, 0, -2, 1, 69, 42, 0, -30, -97, 10, 111, 0, 143, -38, -22, -40, 0, 12, 110, 7, 175, 0, 28, -80, -31, 0, 0, -11, 56, -30, 46, 0, -94, 75, 124, 51, 0, 90, 110, -60, -271, 0, 58, -32, -55, -40, 0, 21, 65, -5, -135, 0, 53, -23, -156, 8, 0, -108, 43, 10, -116, 0, 263, -107, -55, -36, 0, 27, 20, -30, 130, 0, -66, 64, -51, -56, 0, 25, 52, -7, -30, 0, -47, 0, 18, -88, 0, -11, 33, 30, 104, 0, 43, 19, -22, 8, 0, -99, 46, -78, 76, 0, 23, -126, 18, -9, 0, -12, 10, 110, -115, 0, -85, -58, -27, -50, 0, -18, 195, 8, -66, 0, -82, 16, 74, -68, 0, 20, -67, -139, -46, 0, -106, 77, -55, 61, 0, -144, 50, -11, 15, 0, 138, 19, 233, 57, 0, 25, 83, 33, 155, 0, 88, -70, 93, 13, 0, 97, 51, -103, -35, 0, -142, -26, 119, -15, 0, -50, 132, 60, -110, 0, -100, 37, 68, 73, 0, -60, 168, -43, 239, 0, 131, -7, 260, -13, 0, -24, -107, 136, 45, 0, -117, -6, 99, 1, 0, -68, 6, 50, 76, 0, 63, -17, 78, -76, 0, -41, -97, -79, -60, 0, 163, 60, 84, -69, 0, -30, -57, 7, 0, 0, 97, 59, 89, 5, 0, -8, 195, 25, 50, 0, -12, -38, 68, 17, 0, 9, 43, -47, -21, 0, 28, -29, 154, 120, 0, 11, 65, 166, 95, 0, -87, 97, 225, 33, 0, 0, -25, -16, 20, 0, 63, 44, -47, 47, 0, 10, 51, 42, -17, 0, 238, -48, 63, 10, 0, 56, 26, 65, -130, 0, -109, -6, 69, -33, 0, 79, 145, 4, -40, 0, -34, 2, -56, -7, 0, 112, 113, 39, -67, 0, 158, 53, 20, 30, 0, -73, 33, -4, 106, 0, -25, 187, -28, 25, 0, 165, 35, -69, 0, 0, -12, -25, 120, 44, 0, 34, -17, -10, -41, 0, -127, -23, -11, -27, 0, 17, -34, 20, 7, 0, 18, 35, -120, -61, 0, -2, -113, 20, -50, 0, 46, 47, 18, 26, 0, 76, -39, -49, -97, 0, -85, 50, 14, -15, 0, 45, -62, -93, 66, 0, -52, 45, -121, -30, 0, -19, 84, 5, -93, 0, 23, -62, -151, 2, 0, 9, 48, 20, -66, 0, 13, 0, 0, -10, 0, 26, -69, -20, -20, 0, -85, 45, -126, -20, 0, -35, 116, 165, -110, 0, -42, 4, -18, -37, 0, -98, 148, -19, 135, 0, -60, -57, -57, 152, 0, 23, -212, 71, 84, 0, 18, 57, 74, -22, 0, 51, -15, -22, 205, 0, -114, 12, 18, -16, 0, 7, 28, -90, 155, 0, 8, 37, -40, 23, 0, -55, 103, 43, -90, 0, 113, -36, 130, -2, 0, 32, -110, 76, 105, 0, -117, -38, -20, -4, 0, 82, -59, 86, 119, 0, -162, -14, -21, -31, 0, 40, 38, -75, -155, 0, 53, 67, -11, 50, 0, -54, -91, -28, 100, 0, 158, -21, 58, 67, 0, -23, 150, 20, 124, 0, 121, -121, 40, 26, 0, -9, -35, 47, 21, 0, -67, -19, -77, 80, 0, 31, 103, 120, 115, 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": "50.2.d.b", "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], [0, -1, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [-1, 0, 0, -1], [-1, 0, 0, 0], [2, 1, 0, 1], [0, 0, 0, 0], [-1, 0, 0, -1], [0, -1, 0, 0], [-2, 1, 1, 1], [1, 0, 0, 1], [0, 0, 0, 0], [1, 0, 0, 0], [-3, 0, -1, 1], [-2, -1, 0, -1], [-3, 1, -4, 1], [0, 0, 0, 0], [0, 1, 4, 0], [1, 0, 0, 1], [1, 2, 0, 1], [0, 1, 0, 0], [0, 0, 0, 0], [2, -1, -1, -1], [-5, 0, -4, -1], [-1, 0, 0, -1], [4, 1, 1, 0], [0, 0, 0, 0], [-1, -2, 4, -1], [-1, 0, 0, 0], [0, 1, 4, 0], [3, 0, 1, -1], [0, 0, 0, 0], [2, 1, 0, 1], [-4, 2, -1, 0], [3, -1, 4, -1], [-6, 1, -4, -2], [0, 0, 0, 0], [2, 1, -1, -1], [0, -1, -4, 0], [1, 0, 4, 1], [-1, 0, 0, -1], [0, 0, 0, 0], [-1, -2, 0, -1], [-1, 0, 0, -1], [0, -1, 0, 0], [-2, 0, -4, 1], [0, 0, 0, 0], [1, 3, -4, 1], [-2, 1, 1, 1], [-3, 3, 1, 0], [5, 0, 4, 1], [0, 0, 0, 0], [1, 0, 0, 1], [-1, 2, -4, 3], [-4, -1, -1, 0], [2, -4, 4, -2], [0, 0, 0, 0], [5, -2, 3, 2], [1, 2, -4, 1], [-6, -1, 0, -2], [1, 0, 0, 0], [0, 0, 0, 0], [0, -1, -4, 0], [-7, 0, 0, -3], [-3, 0, -1, 1], [-10, -3, -4, -2], [0, 0, 0, 0], [-3, 0, 4, 1], [-2, -1, 0, -1], [-5, -3, 1, -2], [4, -2, 1, 0], [0, 0, 0, 0], [-3, 1, -4, 1], [5, 0, -4, 1], [6, -1, 4, 2], [0, -2, 4, 0], [0, 0, 0, 0], [-2, 2, 4, 1], [-2, -1, 1, 1], [9, -2, 4, 1], [0, 1, 4, 0], [0, 0, 0, 0], [-1, 0, -4, -1], [-6, -5, 0, -2], [1, 0, 0, 1], [-1, -1, -3, 3], [0, 0, 0, 0], [-1, -2, 0, 3], [1, 2, 0, 1], [6, 3, 4, -2], [1, 0, 0, 1], [0, 0, 0, 0], [0, 1, 0, 0], [-8, 0, -5, 0], [2, 0, 4, -1], [-6, -1, 0, -2], [0, 0, 0, 0]]}