# Stored data for newform 8673.2.a.k, downloaded from the LMFDB on 25 April 2024.
{"label": "8673.2.a.k", "space_label": "8673.2.a", "level": 8673, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307268065, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1466246788265945233, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1, 1]], [5, [-5, 0, 1]], [11, [-5, 0, 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": 34692, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 69.25425367305648, "hecke_ring_index": 1, "level_radical": 1239, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [8673, 1, [5783, 6373, 8380], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 59], "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": "1.918", "prec": 17}, {"__RealLiteral__": 0, "data": "0.081", "prec": 17}, {"__RealLiteral__": 0, "data": "9.142", "prec": 17}, {"__RealLiteral__": 0, "data": "0.515", "prec": 17}, {"__RealLiteral__": 0, "data": "62.295", "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], [59, -1]], "trace_display": [-1, 2, 0, 0], "traces": [0, 2, -1, 2, -1, 0, -1, 0, 0, 2, 5, 0, -1, 8, 0, 0, -3, 3, -1, 5, -5, 0, 5, -7, 0, 0, 1, 2, 0, 15, 5, 1, 9, 0, -9, 0, -1, -7, -15, 8, -10, -5, 0, -4, -5, 0, 1, 15, -3, 0, 0, 3, -9, 8, -1, 10, 0, 5, -10, 2, -5, 13, 22, 0, 4, 10, 5, 8, 6, -7, 0, 2, 0, 5, 11, 0, 10, 0, 1, -6, 15, 2, -10, 1, 0, -15, -13, 15, -10, 3, 5, 0, 6, 1, 0, -25, 9, -6, 0, 0, 0, 6, -9, 2, -10, 0, 1, 13, -1, -15, -5, -7, 0, -18, -15, -5, -5, 8, -1, 0, -10, -12, -14, -5, -23, 0, 0, 14, -25, -4, 15, 10, -5, 0, 11, 0, 15, 20, 1, -28, 0, 15, -21, 10, -3, -5, -10, 0, -4, 27, 0, -15, 25, 3, 0, 45, -9, -18, 3, 8, 5, 0, -1, -17, 15, 10, 2, 15, 0, 16, 15, 5, 17, -27, -10, 0, 15, 2, 26, -10, -5, -11, 0, 13, 5, 15, 22, -15, -15, 0, 25, 6, 4, 16, 3, 10, 0, -10, 5, 13, 0, 8, -18, 0, 6, -25, 4, -7, 3, -25, 0, -11, -9, 2, -19, -30, 0, 0, 15, 5, -5, -3, 11, 28, 0, 0, 9, 51, 10, 25, -15, 0, 5, -30, 1, 15, -1, -6, 0, 6, 15, 20, 6, 2, 1, 0, -10, -5, -45, 1, -25, -8, 0, -5, 13, -15, 7, 12, -13, 0, -25, 15, 30, 1, -10, 10, 0, 3, -19, 14, 5, 20, -27, 0, -5, 0, 6, -2, 19, 1, 0, 6, 0, 13, 19, -25, 15, 0, 9, -7, 40, -6, 5, -41, 0, 0, -15, 0, -1, -33, 0, 0, 30, 6, -45, -15, -9, 16, 0, 2, -20, 1, -10, 17, 9, 0, 3, -36, 1, -5, -10, 13, 0, 45, -1, 0, -14, -15, 25, 0, -5, 18, -3, -7, -40, 30, 0, -41, 32, -18, 0, 45, -15, 0, 30, -5, 16, 33, -5, 54, 0, 8, 5, 3, -1, -40, -29, 0, 15, -8, -10, 37, -32, -12, 0, -15, -14, -6, 3, -5, -25, 0, -23, 53, 15, 0, -15, 55, 0, 18, 0, 14, 27, 32, -25, 0, -8, -4, 3, 56, 15, -3, 0, 10, -30, 0, -5, -6, 16, 0, 0, -23, 11, 49, 12, 0, 0, 15, 15, 48, 0, 20, -6, 0, 1, 5, 41, -28, 25, 0, 0, 2, 13, 15, -10, 0, -21, 0, 6, 10, 5, 27, -3, -23, 0, -5, 0, -5, -10, 67, 0, 0, -21, 9, -4, 55, -24, 27, 0, -22, 0, -25, 9, -15, -33, 0, 25, 7, -20, 3, 20, -5, 0, 15, -30, 45, 30, 24, -9, 0, 30, -18, 0, -30, 3, 0, 0, 8, -13, 41, 5, -13, 20, 0, 6, 0, -1, 31, 15, -17, 0, 15, 15, 30, -35, 10, 66, 0, 2, -2, 25, 15, -21, 17, 0, -30, -15, 16, -27, -5, 15, 0, 24, 5, 24, 10, 17, 15, 0, -27, -40, -9, -10, -46, -40, 0, 2, -66, 15, -19, 15, 2, 0, -45, 26, -25, -30, -10, 3, 0, -5, -12, -15, -11, 6, 15, 0, 45, -15, 13, 0, 50, 5, 0, -9, 15, 9, -24, 22, -46, 0, -15, 12, -8, -15, 0, 31, 0, 40, 15, 25, 30, -25, 6, 0, 0, 4, -34, -19, 16, -35, 0, 3, 10, 15, 10, 23, -14, 0, -110, 5, -10, 33, -21, 5, 0, -26, 13, -11, -26, 0, -49, 0, 8, -15, 0, -18, -4, 10, 0, 40, 75, 6, -46, 32, -25, 0, 51, 4, 16, -25, -7, -63, 0, 3, -50, 19, -25, 9, -33, 0, -54, 0, -11, -7, 40, -9, 0, 40, 2, 5, -38, -19, 33, 0, -30, -60, -72, 0, 0, 0, 0, 31, 69, 15, 70, -30, 5, 0, -3, -5, -19, -54, -3, -5, 0, 11, -50, 25, 28, 5, -15, 0, -8, 33, 0, -48, 78, 9, 0, -15, 51, -20, 78, 10, 10, 0, 25, -39, 42, -15, -30, 11, 0, 16, 10, 5, 30, -27, -30, 0, 61, 1, -55, -10, 15, 31, 0, -1, -42, 25, -6, -55, -26, 0, 40, -5, 6, -36, -27, 15, 0, -81, 20, 43, 0, 6, -52, 0, 2, 20, 39, 1, -50, -57, 0, -34, 30, -10, 9, 10, -5, 0, -47, -45, 25, -9, 1, 0, 0, -25, -50, 0, -8, 0, 45, 0, -85, 21, -5, -25, -48, 13, 0, -33, -15, -11, 8, 7, 25, 0, 12, -8, -26, -13, 0, 0, 0, -18, 50, -25, -40, 24, 15, 0, 0, 30, 22, 40, 1, -15, 0, -10, 37, 3, 10, -29, -2, 0, 0, 0, 3, -1, -15, -19, 0, 68, 14, 30, 31, 5, 2, 0, 20, -25, -45, -27, 65, -54, 0, 25, -17, -5, 36, -10, 0, 0, -28, 6, 31, 0, -2, 6, 0, 19, -65, 0, 1, 70, 72, 0, 57, -1, 6, -2, 80, 0, 0, 3, 13, 0, 17, 19, 37, 0, -25, 25, -14, 15, -40, 25, 0, -16, 63, 9, 5, 29, -7, 0, 0, 40, 62, -15, -6, 40, 0, 5, -68, -31, -41, -15, 18, 0, -20, 24, 0, -7, 54, -15, 0, -20, 0, -4, 0, -1, 20, 0, -33, 51, -15, 0, -3, 0, 0, 0, -75, 30, -22, -18, 6, 0, -3, -45, 5, 64, -15, -5, 0, -9, 22, 35, 16, -45, -32, 0, 0, -15, 2, 65, 84, -20, 0, 0, 1, -72, 15, -10, -14, 0, 17, -45, -18, 9, 30, -3, 0, 5, 21, 3, 5, 0, -36, 0, -8, 1, 60, 7, -5, -33, 0, -10, 141, 19, 13, -40, 0, 0, -3, 0, 45, -15, -69, -1, 0, -63, 0, -42, -6, -14, 55, 0, -15, -50, 68, 25, -70, -75, 0, 40, 29, -5, 5, 27, 18, 0, 45, -3, -55, -29, -7, 50, 0, -40, 3, 29, 30, -36, -5, 0, -20, 30, -41, 20, 12, 32, 0, -40, -18, -70, 54, 0, 28, 0, 45, -11, 0, -15, -24, -36, 0, 0, 39, 30, -20, 30, -5, 0, 42, 16, -80, 45, 33, -38, 0, -5, 25, 43, 54, -70, -12, 0, -100, -3, 8, 63, 15, 5, 0, 27, 3, -25, 46, -1, 35, 0, -40, -40, 0, -29, 32, 45, 0, 33, -60, 15, 0, -17, -8, 0, 9, -10, -60, -39, 37, -5, 0, -32, -20, 21, -12, -45, -36, 0, 62, -45, -15, -10, -54, -14, 0, 0, -6, -125, -14, 3, -45, 0, -5, 11, -3, -25, -30, -10, 0, -18, -20, -23, -10, -47, 53, 0, 5, 15, -14, -18, 0, 59, 0, -15, 6, -45, 55, -44, 10, 0, -15, -63, 18, -50, -33, 0, 0, -45, 14, -40, -15, 27, 64, 0, 32, 0, -23, -25, -46, 27, 0, 26, 67, -8, 70, -75, -4, 0, 24, 3, 30, 15, 56, -30, 0, 15, -20, 18, -3, 57, 0, 0, -25, 105, 10, -5, -33, -30, 0, -24, 0, -2, -36, -5, -25, 0, -6, -25, -9, 16, -20, 44, 0, 48, 15, 0, -35, 27, -23, 0, 60, 11, 63, -45, 49, -30, 0, 12, -17, 37, 0, 35, 77, 0, -33, -25, 15, 30, -35, 15, 0, -12, 48, -48, -48, 0, 22, 0, 20, -33, -75, -6, 81, -53, 0, -5, 30, 1, 0, 62, 5, 0, -15, 41, -35, 25, -28, -36, 0, 25, -50, 0, 0, 54, 42, 0, -24, -3, 2, 9, -35, 13, 0, 43, 15, 15, -115, -10, -55, 0, 0, -35, -11, -21, 32, -45, 0, -1, -33, 6, 60, -9, 10, 0, -69, 5, 26, 15, 27, 16, 0, -3, 93, 5, -23, 0, -6, 0, -13, 45, -5, -22, 84, 0, 0, -10, -5, -35, -6, -10, 5, 0, 67, 9, 12, 0, -55, -38, 0, 36, 0, -21, -10, 6, 9, 0, 0, -4, -137, 15, 55, 65, 0, -24, 18, -35, 27, 40, -9, 0, 20, -6, -22, 8, 105, 0, 0, -80, -25, -64, -10, 9, -7, 0, -15, 45, -39, -33, 105, -25, 0, -39, -9, 25, -27, 45, 7, 0, 48, -20, -50, -33, 3, 19, 0, 20, 82, -30, -5, -5, -20, 0, 50, -49, 15, -75, 27, -30, 0, -15, 45, -27, 40, 30, 58, 0, 24, -58, -38, -9, 30, 90, 0, 5, -36, 30, -6, -34, -18, 0, 75, 0, -45, 6, -30, 15, 0, 3, -53, 78, 0, -67, 26, 0, -33, 5, 8, -20, 33, -13, 0, 44, 41, 11, -46, 5, 70, 0, -13, 44, -45, 20, 36, 75, 0, 0, -45, 6, -3, 26, 0, 0, 75, -1, 52, -5, 31, -27, 0, 15, 5, 35, -17, 63, -72, 0, 23, -9, 15, 5, 0, 15, 0, 93, 30, 35, 30, -35, -4, 0, 10, 21, -78, 66, 56, 55, 0, -44, 53, 2, -55, -15, -2, 0, -48, 25, -15, 70, 15, 75, 0, -21, 10, -55, 17, -60, -49, 0, -78, 45, -30, -39, -20, -15, 0, 75, 16, 9, 108, -27, 0, 0, -5, -60, 10, 15, -64, -21, 0, 1, 80, 24, 55, -65, 5, 0, -43, 24, -2, 0, 10, -22, 0, 17, -106, 0, 15, 9, 67, 0, -125, -38, -27, -25, 19, -40, 0, 25, -9, -21, 55, -10, -10, 0, -46, -45, -84, -40, -48, -26, 0, 70, -10, 2, -7, 15, -66, 0, -12, 15, -50, -16, -19, 3, 0, 15, -31, -45, 2, 6, 75, 0, -95, -45, -45, 0, 83, 26, 0, 24, -25, 20, -111, -30, -12, 0, -10, -117, 62, 3, -75, -54, 0, -33, 68, -5, 48, -36, -12, 0, -50, -15, 86, 10, -11, -20, 0, 6, 13, -45, 15, 6, 14, 0, 25, 25, 45, -64, 49, -15, 0, -33, 13, 12, -9, 0, 96, 0, 50, 39, -90, 5, -89, 52, 0, -5, 45, -9, -48, -95, 15, 0, 10, 9, -38, 70, -24, -25, 0, 22, 0, -70, -46, -61, -10, 0, -7, -66, -15, -1, 25, 12, 0, -15, -8, 0, -130, -15, -6, 0, 0, 41, -26, 31, -108, 0, 0, -26, 110, 40, 5, -51, 15, 0, -79, 25, 15, -57, 30, 87, 0, -25, 54, 30, 6, 20, -142, 0, 34, -11, 0, -59, 0, 4, 0, -70, -34, -6, -26, -19, 65, 0, 16, -15, -30, -35, 40, 49, 0, 45, 0, 3, -57, -35, 10, 0, -12, 15, -11, 74, 10, -36, 0, 23, 46, 45, -14, 6, 85, 0, 65, -20, -110, 45, 105, 5, 0, -2, -10, -37, 0, 33, -32, 0, -21, -35, 90, 5, -7, 20, 0, -75, 19, -26, 10, -35, 13, 0, -45, -11, -80, -29, -26, 175, 0, 0, -10, -21, -49, 25, -125, 0, -102, 27, 8, 10, -30, -15, 0, -9, 0, 15, 21, -18, 57, 0, -4, -96, 138, 10, 0, 0, 0, -71, 1, 40, -82, 15, 75, 0, -120, 6, -65, -66, -46, -45, 0, 32, -15, 50, -25, -59, -86, 0, 12, 0, 51, 0, -45, 4, 0, 35, 16, -27, 80, -25, 48, 0, -7, -30, 35, -63, 72, 48, 0, -45, 9, 3, -28, -93, -50, 0, 33, 19, -80, -75, -25, -61, 0, 9, 55, 35, -33, 9, 60, 0, -61, 25, -54, 22, 60, 0, 0, -20, -11, 0, -80, -7, 5, 0, 40, 24, 30, -9, -6, -15, 0, 20, -5, 40, 10, -8, 2, 0, 90, 5, -27, -48, -38, -6, 0, -19, -75, -60, 33, 40, -6, 0, 14, 39, -30, 18, 133, -60, 0, 15, -72, 7, 45, 0, 20, 0, 0, 32, -12, 0, 15, 51, 0, -37, 45, 31, -20, -20, 69, 0, -13, 15, -15, 35, 70, -89, 0, -30, 20, 10, 5, 45, -58, 0, 0, 75, -3, 43, 9, -5, 0, 45, -19, -43, 0, -54, 56, 0, -3, 10, -75, -5, -77, -30, 0, 31, 20, 11, 76, -75, -50, 0, -120, 25, -25, -9, 28, 50, 0, 5, -64, 19, -15, -35, 185, 0, -2, 0, -8, 0, -75, 33, 0, 35, 0, -6, -54, -48, -79, 0, 78, 39, 95, 9, -35, 75, 0, -67, 39, -15, -72, -14, 51, 0, -60, -20, -38, 25, 78, 0, 0, 10, 58, -3, 10, -60, -18, 0, 35, -10, 25, -7, -134, -39, 0, 65, 42, -45, 11, -15, -75, 0, -30, -81, 0, 11, 139, 60, 0, 65, -90, 16, -3, 47, 10, 0, -9, 5, -98, -75, 30, 3, 0, -27, 140, 90, -30, -9, -79, 0, 60, 45, 61, -5, 0, 1, 0, 3, -55, -35, -24, -10, -34, 0, 15, -8, 45, 31, -113, -40, 0, 62, 0, -1, 75, -85, -42, 0, 40, 25, 84, 85, -6, -15, 0, -55, -78, 34, -26, -20, -57, 0, -80, 51, 40, 95, -45, -5, 0, 0, 6, -20, -14, -36, -5, 0, -27, 8, -39, 15, 60, -15, 0, 51, 35, -81, -70, 10, 20, 0, -5, 43, -45, -30, 0, -45, 0, 6, 40, 30, -52, 48, -7, 0, 75, -101, 2, 0, 45, 20, 0, -15, 39, 22, 5, 1, 40, 0, -50, 0, -179, -57, -22, 75, 0, -93, -8, -34, 41, 15, 30, 0, 83, -10, -5, 20, 9, 119, 0, 10, -33, 30, -5, 57, 0, 0, -90, 42, -47, 80, 21, -45, 0, -70, 25, 93, -70, -9, -20, 0, 1, -15, -18, 0, 80, -48, 0, -30, -103, -25, -7, -51, -50, 0, -25, 0, -68, -123, -8, 45, 0, 0, -65, -75, 45, 0, 3, 0, 43, 135, -85, -11, -24, 21, 0, 35, -5, 9, -46, -25, -19, 0, -48, 15, 135, 13, -16, 45, 0, 70, -45, -33, 38, -107, -15, 0, -14, -11, -30, 0, 8, 89, 0, 7, -95, -57, 25, 7, 22, 0, 140, 45, 12, 84, -15, -8, 0, -135, -26, 120, 15, -13, -6, 0, 0, 23, -20, 0, 15, -90, 0, -25, -54, -18, -120, 15, 50, 0, 4, -25, 54, -20, -40, -5, 0, 24, 84, -43, 15, 0, 34, 0, -119, 45, 0, 5, 26, 30, 0, -10, 22, -76, -57, 40, -20, 0, 1, -29, -12, -15, -1, 23, 0, -32, 125, -10, 89, -75, 37, 0, -43, 3, 37, -3, 10, -3, 0, -29, 1, 25, -2, 55, 24, 0, -25, -22, 0, -45, 0, 0, 0, -5, 3, 22, 25, -1, 5, 0, -15, 20, -93, -19, -65, -69, 0, 90, 103, 68, -5, 30, 14, 0, -36, 30, 0, -64, 31, -33, 0, 5, -45, -75, 2, -6, -95, 0, -24, -11, 20, -65, 27, -25, 0, -105, -45, 35, 20, -27, -3, 0, 65, 58, -20, -54, -85, -80, 0, 4, -76, 25, -33, 99, -17, 0, -120, -5, 11, -18, 36, 25, 0, -10, -75, -33, 0, 37, 144, 0, 17, -60, -28, -45, 84, 6, 0, -45, 31, 125, -150, 0, 75, 0, -2, -100, -60, 6, -15, -5, 0, 25, 5, 19, -54, -55, -65, 0, 45, 0, 64, 5, 1, 27, 0, 70, -55, -21, 72, -6, -15, 0, 32, -3, 57, 57, 0, -1, 0, -27, 6, 5, -45, -2, 3, 0, 80, 50, -4, 0, 38, -55, 0, -5, -96, 3, -145, 15, 13, 0, 9, 0, 74, -75, 17, -52, 0, 19, 101, -1, 37, 30, -110, 0, 30, 39, -25, 69, -90, 25, 0, 0, -14, -24, 23, 15, 0, 0, -40, 97, -57, 25, -5, -88, 0, 75, 75, -16, 97, 56, 63, 0, 69, 9, 33, -69, 5, -5, 0, 29, 63, 0, -7, 83, 25, 0, -85, 89, 0, -42, -76, 40, 0, -47, 62, -42, 40, -15, -104, 0, -6, -60, -106, 40, 19, 15, 0, -42, -67, 5, -20, 0, -68, 0, 39, -31, 60, -6, -41, -11, 0, -15, -95, -5, 18, 57, 35, 0, -63, 90, -20, 0, 60, 24, 0, 35, 0, 7, 120, -7, -20, 0, 54, -85, 32, -15, -125, 16, 0, 35, -27, -20, 16, -120, 0, 0, 0, -4, 3, 16, 0, -40, 0, -1, 23, -25, 20, 27, 56, 0, -40, 25, -33, 14, -85, 51, 0, -25, -15, -115, 111, 0, -40, 0, -3, 96, -90, 0, -38, -14, 0, 55, 39, 0, -14, 1, -75, 0, -75, 30, 47, -60, -22, 42, 0, -18, 0, -15, 6, -5, 20, 0, -23, -39, -3, -33, -45, -45, 0, -39, 5, -55, -36, 64, -29, 0, -15, -49, -95, -5, -34, 25, 0, 22, -16, -9, -200, -61, 22, 0, 249, 35, -50, -81, 16, 60, 0, -45, -82, 48, -32, 5, 42, 0, 15, -75, 0, -65, -41, -15, 0, 65, 2, -31, 42, 65, -60, 0, 84, -15, 11, -20, -104, 0, 0, 15, -140, 0, 2, -19, 1, 0, -42, -72, -18, -3, 15, 29, 0, -10, -64, 0, -14, -35, -45, 0, 110, -45, 17, -32, -18, -45, 0, 3, -18, -65, 0, 9, 60, 0, 30, -5, 5, -3, 77, 15, 0, 36, 43, 5, 120, -10, 21, 0, -61, 3, -85, 74, 5, 41, 0, 0, 100, 93, -36, -108, -60, 0, 12, -36, -8, -45, 96, 1, 0, 45, 60, 61, 75, 7, -150, 0, -5, 80, -96, -33, 25, 16, 0, 138, 12, -10, -106, -10, 141, 0, 20, 19, 101, 125, 13, 5, 0, -40, 5, -48, 0, -96, -6, 0, 92, 0, -3, 15, -35, 0, 0, -36, 45, 26, 27, -15, 95, 0, -69, 135, 40, -1, 88, -101, 0, -25, -69, -63, 21, -12, 0, 0, 7, -42, 60, -105, -6, 15, 0, -14, 100, 120, 55, -9, 6, 0, -48, -29, -15, 85, 100, -50, 0, -35, 68, 0, 189, 25, -60, 0, -70, -102, -40, -75, 20, -75, 0, -35, 83, 40, -25, -18, 29, 0, -119, -5, -13, 26, 5, 49, 0, 27, 85, -23, 18, -80, -10, 0, -45, -35, 45, 36, 10, -3, 0, -55, -55, 45, 25, -29, 70, 0, -7, 39, 12, 50], "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": "177.2.a.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], [1, 0], [0, -1], [1, 0], [-1, 1], [1, -2], [0, -1], [0, 0], [-1, 2], [1, 0], [2, 1], [1, -2], [-1, 1], [5, -2], [0, 0], [1, -2], [0, -3], [0, 3], [0, -1], [0, 5], [-3, 1], [0, 0], [2, 1], [-4, 1], [-1, 2], [0, 0], [2, -3], [1, 0], [0, 0], [7, 1], [2, 1], [5, -9], [5, -1], [1, -2], [-3, -3], [0, 0], [-1, 1], [-2, -3], [-5, -5], [5, -2], [-5, 0], [-5, 5], [0, 0], [-5, 6], [-3, 1], [1, -2], [-1, 3], [9, -3], [0, -3], [0, 0], [0, 0], [0, 3], [-7, 5], [5, -2], [0, -1], [5, 0], [0, 0], [0, 5], [-1, -8], [1, 0], [-3, 1], [5, 3], [9, 4], [0, 0], [1, 2], [9, -8], [2, 1], [7, -6], [3, 0], [-4, 1], [0, 0], [-3, 8], [-1, 2], [1, 3], [3, 5], [0, 0], [5, 0], [0, 0], [2, -3], [-3, 0], [6, 3], [1, 0], [-5, 0], [1, -1], [0, 0], [-6, -3], [-6, -1], [7, 1], [-5, 0], [7, -11], [2, 1], [0, 0], [5, -4], [5, -9], [3, -6], [-10, -5], [5, -1], [-3, 0], [0, 0], [1, -2], [0, 0]]}