# Stored data for newform 3675.2.a.bb, downloaded from the LMFDB on 24 April 2024.
{"label": "3675.2.a.bb", "space_label": "3675.2.a", "level": 3675, "weight": 2, "hecke_orbit": 28, "hecke_orbit_code": 121597189972561499, "dim": 2, "is_polredabs": true, "nf_label": "2.2.13.1", "trace_hash": 1530166195631392997, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-3, -1, 1]], [11, [3, 1]], [13, [-12, 2, 1]]], "qexp_display": "q+\\beta q^{2}-q^{3}+(1+\\beta )q^{4}-\\beta q^{6}+3q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14700, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 29.34502274282054, "hecke_ring_index": 1, "level_radical": 105, "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": "0.032", "prec": 17}, "analytic_rank_proved": true, "char_values": [3675, 1, [1226, 1177, 2551], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 13, "field_disc_factorization": [[13, 1]], "field_poly": [-3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.907", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.796", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "55.756", "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], [5, -1], [7, -1]], "trace_display": [1, -2, 0, 0], "traces": [0, 2, 1, -2, 3, 0, -1, 0, 6, 2, 0, -6, -3, -2, 0, 0, -3, -2, 1, -6, 0, 0, -3, 2, -6, 0, 12, -2, 0, -8, 0, 0, -7, 6, -14, 0, 3, 6, -16, 2, 0, 0, 0, 12, -9, 0, -25, -14, 3, 0, 0, 2, 10, -8, -1, 0, 0, 6, -17, 14, 0, -12, 26, 0, -4, 0, 3, 24, -16, -2, 0, -6, 6, 6, -23, 0, -22, 0, -12, -8, 0, 2, 0, -8, 0, 0, 19, 8, -18, 6, 0, 0, -23, 0, -20, 0, 7, 16, 0, -6, 0, -26, 14, 14, -6, 0, 22, 0, -3, -10, 0, -6, 0, 0, 16, 0, -25, -2, 20, 0, 0, -4, 20, 0, 26, 0, 0, 4, -27, -12, 0, 22, 9, 0, 25, 0, -6, 8, 25, -2, 0, 14, -3, 6, -3, 0, -10, 0, -17, -40, 0, -8, -18, -2, 0, 0, -10, 0, -43, 8, 0, 0, 1, 20, 0, 0, 22, -2, 0, 2, 0, -6, 31, -6, 17, 0, 9, -14, -36, 0, 0, -18, 0, 12, 6, 0, -26, 6, -34, 0, 0, -20, 4, 2, -18, 0, 0, 12, -3, -16, 0, -24, -26, 0, 16, 0, -32, 2, 16, 18, 0, 24, 14, 6, 0, 0, -6, 0, 21, -6, 0, -24, 23, -38, 0, 0, -39, -38, 22, 0, 0, 0, -24, -24, 12, 0, 34, 8, 0, 44, 0, -26, -2, -2, 8, 0, 0, -20, 0, 8, 0, 6, 0, -6, 41, 0, -25, 0, -19, 0, 0, -8, -2, -26, 18, 0, 0, -6, 49, -8, 0, 46, -10, 0, -22, 0, 23, -20, -66, 0, 0, -24, 20, -16, -9, 0, -36, 0, -7, -6, 0, -16, -4, -14, 0, 0, 18, 6, -7, -54, 0, 0, 35, 26, -4, 0, -14, 10, 0, -14, 0, -6, 6, 26, -52, 0, -51, -40, -22, 24, 0, 0, 0, 32, 3, 0, 36, 10, 0, 0, 0, 8, 14, 6, 64, 0, 0, 0, -25, 0, 0, 0, -16, 0, 36, 0, 36, 46, 25, 2, 0, 2, 21, 60, -20, 0, -30, 0, 0, 6, 0, 6, -22, 4, 0, 0, -20, 0, -29, 0, 0, 0, -26, -2, 42, 0, -42, -18, 0, -8, 0, -4, 16, 2, 27, 0, 27, 12, -2, -36, 0, 50, 0, -22, 45, 0, -9, -4, -8, 0, 0, -12, -25, 52, -52, 0, 0, -18, 6, 2, 0, -8, -18, 0, -25, 0, -6, 2, 48, -12, 0, -6, 64, -14, -24, 0, 3, 0, 0, -6, 0, 40, 3, 60, 0, 0, 11, 46, 10, -6, 0, 0, -12, -12, 17, 0, -6, 40, 0, -48, 0, 0, -39, 8, -32, 0, 18, -22, 26, 2, 0, 2, 0, 20, -1, 0, 27, -28, 10, 0, 0, 0, 42, -36, 43, 0, 0, -8, -4, -62, 0, -58, 0, 0, -6, 0, -1, -20, -36, -20, 0, -6, 0, 34, -36, 0, 26, 0, -22, -56, 0, 2, 42, 32, 0, 0, 75, -2, 45, -10, 0, 0, 22, 6, 78, 0, -31, 42, 0, 6, 0, 44, -17, 32, 20, 0, 13, -52, -9, 60, 0, 14, 0, 0, 36, 0, 72, 0, 22, 0, 0, -34, 36, 18, 20, 0, 0, -52, -14, -12, 0, 50, -6, 0, -10, 0, -68, -28, 26, 14, 0, -6, 27, -16, 34, 0, 70, 0, -18, -24, 0, -4, -30, 20, 0, 0, -4, -54, 23, -2, 0, 0, 18, 24, 18, 0, -20, -54, 0, -52, 0, -12, -35, -12, 3, 0, -47, 16, 12, 26, 0, -20, 0, 24, 27, 0, 26, 26, 34, 0, 0, -12, -16, -70, 18, 0, 0, 24, 32, -2, 0, -2, -42, 0, -16, 0, 52, -18, -52, 46, 0, 8, -24, -24, -7, 0, -14, 0, 51, -6, 0, 24, 0, -48, 0, 0, 68, -12, 6, -42, 0, 0, 56, 8, -21, 0, 0, 6, 0, -24, 0, 62, -87, 24, -24, 0, -23, 44, 62, 38, 0, 36, 0, -20, -26, 0, -23, 32, 39, 0, 0, 38, -78, 6, -22, 0, 0, 0, -5, 60, 0, -68, 30, 0, 49, 0, 24, 0, -116, 24, 0, -56, -12, 34, 12, 0, 30, 0, -34, -12, 0, -8, 18, -104, 0, 0, 0, -44, 81, -68, 0, 0, 81, 26, -40, 0, 2, 54, 0, 2, 0, -38, -8, -40, -52, 0, 19, -72, 0, 28, 0, 20, 0, -12, 0, 0, -1, -8, 48, 0, 0, -44, 8, -6, -48, 0, 0, 82, -43, 6, 0, 12, -41, 0, -4, 0, 92, 12, 25, 20, 0, 0, 29, -12, 19, 0, 48, 0, -57, 0, 0, 18, 38, 8, 0, 0, 2, -6, 57, 26, 0, 0, -18, 64, -2, 0, -24, -6, 0, 40, 0, 6, -45, -18, -49, 0, 0, 8, -78, 0, 0, 28, 0, -46, 69, 0, 10, -62, 40, 0, 0, 12, 22, 28, 42, 0, 0, -18, -23, -50, 0, 20, -74, 0, 66, 0, 66, 0, -6, 66, 0, 0, -29, 24, 88, 0, -20, 0, 38, 16, 0, 110, 9, 28, 0, 0, 0, -12, 36, 56, 0, 0, -32, 54, 7, 0, 56, 6, 0, 24, 0, 2, -30, 16, 88, 0, 4, -44, -16, 14, 0, -24, 0, 24, -36, 0, 72, 44, -18, 0, 0, -6, -44, 68, 7, 0, 0, 54, -63, -52, 0, -44, 0, 0, 0, 0, -35, -12, -70, -26, 0, 30, 4, 24, 15, 0, 26, 0, 14, -28, 0, -10, 92, 6, 0, 0, 36, 14, 41, -10, 0, 0, 3, 6, 38, 0, -6, 12, 0, -26, 0, -12, 52, 0, -8, 0, -57, 56, 51, -32, 0, 40, 0, -20, 22, 0, 40, -24, -44, 0, 0, 42, 36, 0, -26, 0, 0, -24, -12, -32, 0, -14, -3, 0, -49, 0, 44, 32, -36, -18, 0, -10, -3, -8, 0, 0, 82, 0, -56, -40, 0, 56, -26, -8, 0, 0, -14, -34, -28, -6, 0, 0, -64, -40, 48, 0, -10, -28, 0, 2, 0, 0, 69, -26, 25, 0, 12, 0, 8, -46, 0, -10, 0, 0, 9, 0, 16, -70, 78, 0, 0, -26, -36, -36, 60, 0, 0, -40, -36, -26, 0, -46, 74, 0, -25, 0, 16, -2, 66, 46, 0, 76, -13, -2, -52, 0, -21, 0, -22, -60, 0, 0, 20, 98, 0, 0, 0, -48, 30, 36, 0, 0, -23, 28, 0, 0, 14, -6, 0, 60, 0, 38, -69, -6, 82, 0, 22, 28, 82, -4, 0, -52, 0, -46, -39, 0, 24, -4, 20, 0, 0, 0, 116, -10, 29, 0, 0, 0, -30, 44, 0, 78, -6, 0, 77, 0, 26, 10, 72, 2, 0, -68, -42, -64, 3, 0, -34, 0, 42, 22, 0, 18, 54, -42, 0, 0, 9, 8, 27, -50, 0, 0, -15, 4, 18, 0, -16, -104, 0, -2, 0, -58, -27, -28, -40, 0, 17, -84, -27, -16, 0, -12, 0, -10, 2, 0, -66, 36, -22, 0, 0, -8, -34, -50, -66, 0, 0, 0, -104, 22, 0, -104, -45, 0, 5, 0, -84, 6, 9, 0, 0, 4, -120, 36, 8, 0, -42, 0, -13, 30, 0, 14, -36, 12, 0, 0, 25, 6, -24, -52, 0, 0, 52, 78, 52, 0, 90, -14, 0, -112, 0, 18, -84, 40, -6, 0, -87, -2, 28, 0, 0, 60, 0, 8, 51, 0, 18, -12, 12, 0, 0, 20, 25, 0, -48, 0, 0, -74, 6, 0, 0, -2, 78, 0, -48, 0, 0, 12, 10, 28, 0, -68, 69, 6, -27, 0, -64, 0, -47, 14, 0, 0, 24, -98, 0, 0, 75, -92, -3, -20, 0, 0, 51, -40, 0, 0, -76, 6, 0, -20, 0, -20, 100, -40, -6, 0, -3, 18, -60, -60, 0, -118, 0, 0, 60, 0, -22, -28, -11, 0, 0, -46, 0, 0, -10, 0, 0, 6, -12, -42, 0, 14, -8, 0, -79, 0, 12, -44, 38, 12, 0, 78, -17, 52, 113, 0, -6, 0, 6, -92, 0, -40, -60, 86, 0, 0, -10, 48, -26, 18, 0, 0, 6, 0, -10, 0, 39, -38, 0, -8, 0, 6, 32, 82, -78, 0, -75, 10, -18, 48, 0, 22, 0, 56, -26, 0, -55, -2, -48, 0, 0, -6, -60, -2, -18, 0, 0, 8, 95, -20, 0, 0, 1, 0, 0, 0, -114, -12, -27, -22, 0, 28, -2, -116, -10, 0, 56, 0, 81, 36, 0, -44, 90, 0, 0, 0, -42, 62, -110, 36, 0, 0, -43, -48, -48, 0, -26, -90, 0, -44, 0, 8, 0, -34, 4, 0, 87, 62, -8, 22, 0, -66, 0, 58, 87, 0, 0, 26, -54, 0, 0, -6, 6, 82, 14, 0, 0, -52, 1, 68, 0, 20, -110, 0, 36, 0, -20, 20, -52, -78, 0, 12, 152, 6, -75, 0, 0, 0, -25, -34, 0, -116, 36, -2, 0, 0, -84, 40, -26, -20, 0, 0, -3, 56, 22, 0, 18, 56, 0, 54, 0, 102, 56, -2, 62, 0, -42, -24, -66, -32, 0, -60, 0, 72, 41, 0, -51, 0, -75, 0, 0, 2, 84, -22, -45, 0, 0, 10, -60, 6, 0, 58, 94, 0, 84, 0, -22, -20, 88, -6, 0, -28, -78, 36, 6, 0, -6, 0, 31, 78, 0, -42, -50, -62, 0, 0, -93, -6, 0, 46, 0, 0, 9, -44, 88, 0, 17, 84, 0, -32, 0, -60, -20, 4, -94, 0, 36, -28, -13, -52, 0, 52, 0, -88, 9, 0, -72, -60, -6, 0, 0, -16, -48, -14, 114, 0, 0, 88, 124, 0, 0, 24, -36, 0, -57, 0, 30, -48, -72, -30, 0, 0, 52, -54, -22, 0, 26, 0, 117, 16, 0, -58, -90, 34, 0, 0, -36, -30, 51, -18, 0, 0, -20, -6, -148, 0, 42, 10, 0, 120, 0, 52, 162, 104, 14, 0, 53, 12, -60, 36, 0, 74, 0, -50, -87, 0, 6, -42, 66, 0, 0, 24, 10, -48, -12, 0, 0, -70, 68, -108, 0, 28, 54, 0, -26, 0, -18, -14, -6, 58, 0, -82, 104, 6, -35, 0, -27, 0, 72, 16, 0, 60, -34, -16, 0, 0, 2, 50, -70, 48, 0, 0, -49, -48, 18, 0, -12, 24, 0, 24, 0, -82, 0, 4, -84, 0, 30, 52, 106, -20, 0, 34, 0, 60, 8, 0, -51, 0, 4, 0, 0, 54, 116, 104, -23, 0, 0, 2, 129, 10, 0, 40, 144, 0, 41, 0, -18, 40, 134, -24, 0, 64, -18, -96, -22, 0, -22, 0, 20, -104, 0, 54, -90, 0, 0, 0, 25, 52, -72, -4, 0, 0, 60, 12, -4, 0, 35, 130, 0, 12, 0, -60, -3, -42, -114, 0, 164, 82, 47, -8, 0, -16, 0, -60, -12, 0, -111, -26, -130, 0, 0, 42, 4, 20, 0, 0, 0, -128, -39, -24, 0, 34, -27, 0, -32, 0, -114, 148, -26, 0, 0, -26, 15, 18, -34, 0, -66, 0, -7, 52, 0, -24, 0, 12, 0, 0, 16, 6, -27, 70, 0, 0, -18, 4, 94, 0, -36, 30, 0, 12, 0, -24, 56, -42, -32, 0, 94, 2, 86, -6, 0, -22, 0, 2, -72, 0, 42, 6, 10, 0, 0, -106, 16, -142, 188, 0, 0, 12, -52, 48, 0, 18, -6, 0, 52, 0, 0, -46, -62, 52, 0, 104, -93, -8, -76, 0, 24, 0, 36, 24, 0, -12, 7, 18, 0, 0, -23, 36, 14, -112, 0, 0, 132, -16, -51, 0, -106, 6, 0, 104, 0, 78, 21, -24, -22, 0, 0, 0, -78, 48, 0, 18, 0, -110, -116, 0, 6, 66, -68, 0, 0, 12, -176, -122, -6, 0, 0, 42, -69, -18, 0, 0, 16, 0, -49, 0, -56, 36, 108, -8, 0, -128, 21, 86, -9, 0, -134, 0, 0, 0, 0, -6, 116, -46, 0, 0, -60, 24, -163, 84, 0, 0, 93, -62, -156, 0, 87, 32, 0, -24, 0, 54, 24, -70, 100, 0, -84, -60, 23, 36, 0, -44, 0, -78, -62, 0, -124, -38, 18, 0, 0, -16, 22, -36, -40, 0, 0, -4, 183, 20, 0, -110, 26, 0, -18, 0, -26, 58, 23, -82, 0, -32, 33, 0, -39, 0, -2, 0, -49, 62, 0, -104, -44, -38, 0, 0, 78, 162, 45, -6, 0, 0, 22, -100, -48, 0, 0, 4, 0, 24, 0, 0, -65, 66, 5, 0, 34, -60, 102, -36, 0, -22, 0, 68, 32, 0, -30, 52, 78, 0, 0, -36, -49, -16, 118, 0, 0, -94, -24, 42, 0, 0, 48, 0, 116, 0, -46, -24, 10, -8, 0, 60, 77, 56, -78, 0, 12, 0, -104, -34, 0, -24, -12, 24, 0, 0, 38, 2, -30, 32, 0, 0, -78, -6, 34, 0, 88, 12, 0, -84, 0, -82, 0, 8, 54, 0, -18, 84, -34, 104, 0, -54, 0, 84, -97, 0, 79, 78, 0, 0, 0, 44, -24, 8, -81, 0, 0, 68, -48, -82, 0, -64, 188, 0, -103, 0, -81, -36, 138, -26, 0, 132, 40, 0, -25, 0, 66, 0, -2, 44, 0, -54, -52, -10, 0, 0, -75, -2, -91, 48, 0, 0, -38, 38, 50, 0, 8, -28, 0, 40, 0, 0, 52, 12, 166, 0, 47, -78, -19, 30, 0, 72, 0, 24, 0, 0, -60, -28, -82, 0, 0, -48, 78, -20, -62, 0, 0, 4, 49, 12, 0, 120, 0, 0, -73, 0, 86, -88, 1, 36, 0, 8, -164, -42, -48, 0, -110, 0, -72, 84, 0, 4, -50, 44, 0, 0, -8, -140, 89, 6, 0, 0, 48, -52, -48, 0, 96, -126, 0, 82, 0, -82, 21, 66, 43, 0, 3, -6, -194, 4, 0, -22, 0, -12, -19, 0, 41, -6, -48, 0, 0, 110, 4, 4, 26, 0, 0, 120, -92, 12, 0, -12, -94, 0, -25, 0, -14, -20, -94, 20, 0, 0, -18, 0, 36, 0, -29, 0, -8, 12, 0, -72, -19, 26, 0, 0, -109, 0, -48, 44, 0, 0, -42, -12, 57, 0, -8, 0, 0, -38, 0, -42, 35, -18, -42, 0, -38, 84, -120, -8, 0, -106, 0, -8, 0, 0, -156, 138, -2, 0, 0, 6, -26, 132, -57, 0, 0, -26, 144, 170, 0, 42, -96, 0, 81, 0, 18, 18, 0, -64, 0, -144, 2, -10, 73, 0, -60, 0, 24, 6, 0, 6, -162, -90, 0, 0, 13, -40, -63, -12, 0, 0, -123, -6, -56, 0, 45, -20, 0, 18, 0, 66, 49, -90, 42, 0, 51, -40, 0, 0, 0, -8, 0, 100, 78, 0, 13, 0, 78, 0, 0, 72, 120, -28, -176, 0, 0, 50, 74, 46, 0, -12, -69, 0, -96, 0, -110, -12, -10, -156, 0, 62, -157, 114, -40, 0, 30, 0, 78, -6, 0, 0, 134, -12, 0, 0, -22, 26, 75, -28, 0, 0, -42, 24, -58, 0, 10, -84, 0, 20, 0, 18, -16, 72, 23, 0, 117, 50, -18, -40, 0, 4, 0, -20, -167, 0, 74, 114, -52, 0, 0, 0, -66, 24, 78, 0, 0, -114, -66, 50, 0, 0, -52, 0, 6, 0, 56, -66, 40, 0, 0, -114, 96, 0, 77, 0, 29, 0, 67, -24, 0, -6, -88, 14, 0, 0, -120, 110, 20, 12, 0, 0, 0, -6, -38, 0, -244, -16, 0, 104, 0, 40, 72, -110, -20, 0, -9, 58, -114, -28, 0, 66, 0, 72, 75, 0, 32, -70, 0, 0, 0, 12, -124, 104, -36, 0, 0, -56, -179, -36, 0, 54, 120, 0, 96, 0, 32, 16, -18, -54, 0, 138, -7, -66, 61, 0, -102, 0, -56, 156, 0, -6, -46, 28, 0, 0, -65, -24, -4, 34, 0, 0, -14, -2, -196, 0, 30, 86, 0, -16, 0, 42, -88, -20, 0, 0, -156, -18, -4, -132, 0, 44, 0, 16, 16, 0, -36, -14, 18, 0, 0, 136, -110, 24, 54, 0, 0, -12, 24, -24, 0, 78, 36, 0, -61, 0, 2, 132, -72, 66, 0, -44, 39, -108, 18, 0, 182, 0, 157, 104, 0, 52, 68, 6, 0, 0, 44, 132, 84, -68, 0, 0, -7, -88, -24, 0, 134, -72, 0, -74, 0, -54, -30, 20, 63, 0, 0, 52, 48, -90, 0, 70, 0, 44, -29, 0, 0, -132, 22, 0, 0, -118, 0, 66, -188, 0, 0, 60, 35, 52, 0, 12, -192, 0, 70, 0, 184, 26, 0, 82, 0, -52, -69, -30, 187, 0, -4, 0, -132, -24, 0, 8, -15, 80, 0, 0, 119, 0, -26, -10, 0, 0, -102, -96, -14, 0, 12, 28, 0, -156, 0, -18, 49, 10, -128, 0, -92, -36, 48, -6, 0, -72, 0, -124, 4, 0, 138, -74, -36, 0, 0, -14, 0, -4, -41, 0, 0, 10, 0, 66, 0, -30, 6, 0, -123, 0, -3, -46, -50, -6, 0, -160, -38, 32, -58, 0, 124, 0, 6, 30, 0, -12, 90, -12, 0, 0, 75, 26, 57, 84, 0, 0, 4, 12, 180, 0, -52, 0, 0, 0, 0, 94, 8, -18, -60, 0, -122, 56, 57, -128, 0, -56, 0, -60, -51, 0, 145, 32, 18, 0, 0, 120, -130, -40, -84, 0, 0, 34, -22, 20, 0, -38, -22, 0, 0, 0, 74, 32, -40, -54, 0, 24, 18, 50, 44, 0, -76, 0, -41, 112, 0, 170, 6, -42, 0, 0, -36, 30, 18, 0, 0, 0, 26, 78, -182, 0, 14, -112, 0, 64, 0, 24, 153, 0, 12, 0, 41, 32, 68, 36, 0, 0, 0, 14, -208, 0, 3, 2, 34, 0, 0, -152, 49, 132, -148, 0, 0, 80, -44, 130, 0, -32, -60, 0, 36, 0, 0, 18, 0, 32, 0, -72, -176, 10, 51, 0, 3, 0, -147, 8, 0, 12, 0, -120, 0, 0, 3, -66, -82, 24, 0, 0, -71, 26, 56, 0, -144, 40, 0, -24, 0, -126, -96, -56, 202, 0, 26, 52, -36, 8, 0, -138, 0, 104, -6, 0, 41, 22, 14, 0, 0, 34, 30, 0, 28, 0, 0, 6, 105, -12, 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": "525.2.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], [1, 0], [0, 1], [-1, 0], [1, 1], [0, 0], [0, -1], [0, 0], [3, 0], [1, 0], [0, 0], [-3, 0], [-1, -1], [-2, 2], [0, 0], [0, 0], [-2, 1], [0, -2], [0, 1], [-2, -2], [0, 0], [0, 0], [0, -3], [3, -4], [-3, 0], [0, 0], [6, 0], [-1, 0], [0, 0], [-3, -2], [0, 0], [-2, 4], [-3, -1], [3, 0], [-6, -2], [0, 0], [1, 1], [5, -4], [-6, -4], [2, -2], [0, 0], [0, 0], [0, 0], [5, 2], [-3, -3], [0, 0], [-12, -1], [-6, -2], [2, -1], [0, 0], [0, 0], [0, 2], [4, 2], [-6, 4], [0, -1], [0, 0], [0, 0], [2, 2], [-6, -5], [6, 2], [0, 0], [-8, 4], [12, 2], [0, 0], [1, -6], [0, 0], [0, 3], [11, 2], [-6, -4], [-3, 4], [0, 0], [-3, 0], [3, 0], [4, -2], [-12, 1], [0, 0], [-8, -6], [0, 0], [-6, 0], [-1, -6], [0, 0], [1, 0], [0, 0], [-6, 4], [0, 0], [0, 0], [6, 7], [3, 2], [-9, 0], [6, -6], [0, 0], [0, 0], [-9, -5], [2, -4], [-6, -8], [0, 0], [3, 1], [10, -4], [0, 0], [-3, 0], [0, 0]]}