# Stored data for newform 6027.2.a.k, downloaded from the LMFDB on 24 April 2024.
{"label": "6027.2.a.k", "space_label": "6027.2.a", "level": 6027, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307265419, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 845591422561145799, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-4, 1, 1]], [5, [2, 1]], [13, [-16, 2, 1]]], "qexp_display": "q-\\beta q^{2}+q^{3}+(2+\\beta )q^{4}-2q^{5}-\\beta q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24108, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 48.12583729822569, "hecke_ring_index": 1, "level_radical": 861, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [6027, 1, [4019, 493, 2794], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 41], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.031", "prec": 17}, {"__RealLiteral__": 0, "data": "1.956", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.613", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "68.273", "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], [41, -1]], "trace_display": [-1, 2, -4, 0], "traces": [0, 2, -1, 2, 5, -4, -1, 0, -9, 2, 2, 9, 5, -2, 0, -4, 3, -5, -1, -6, -10, 0, 4, 0, -9, -2, 18, 2, 0, -1, 2, -15, -9, 9, -6, 0, 5, 7, 20, -2, 18, 2, 0, -13, 14, -4, 0, 5, 3, 0, 1, -5, -22, 4, -1, -18, 0, -6, 26, 8, -10, 13, 16, 0, 7, 4, 4, 2, -4, 0, 0, 13, -9, 9, 22, -2, -32, 0, 18, -2, -6, 2, -1, 10, 0, 10, 32, -1, -32, -8, 2, 0, 0, -15, -28, 12, -9, 36, 0, 9, -5, 7, -6, -3, 26, 0, -2, 22, 5, 10, -8, 7, 0, -8, 20, 0, -28, -2, -4, 0, 18, 27, 2, 2, -46, 24, 0, 20, 23, -13, -36, -20, 14, 0, -52, -4, 14, -15, 0, -20, 0, 5, -32, 8, 3, 2, 38, 0, -8, -16, 1, 0, 44, -5, 0, 30, -22, 12, -16, 4, 18, 0, -1, -21, 5, -18, 12, 8, 0, 10, 12, -6, -58, 28, 26, 0, -12, 8, 38, 11, -10, 22, 0, 13, 0, -14, 16, -31, 38, 0, -40, 0, 7, 18, -18, 4, 0, -4, 4, 30, 9, 2, 22, 0, -4, -4, -24, 0, -54, -10, 0, 16, 10, 13, -28, 26, -9, 0, -22, 9, -28, -12, 22, -36, 0, -2, 38, -3, -32, 12, 0, 0, 30, -12, 18, -10, 20, -2, 0, 28, -6, -9, 63, 2, 24, 0, -1, 40, 76, 10, -12, 2, 0, 0, 24, 10, -17, 3, 32, 0, 44, -1, 44, 9, -32, -8, 0, -8, 56, -34, 2, -33, 18, 0, -18, -9, 0, 9, -24, -15, 0, 25, -28, 39, 58, 12, 64, 0, -9, -13, -52, 36, -20, 17, 0, -16, -6, 9, -26, 0, -5, 0, 0, 7, -60, -26, -6, -1, 0, -3, -32, 12, 26, -2, -6, 0, 12, -7, -2, 21, -14, 22, 0, -2, 5, 2, -32, 10, -9, 0, -8, -6, 8, 7, 64, -4, 0, -25, -39, -8, 8, -59, 20, 0, 84, 0, -14, 29, -28, -13, 0, -2, -32, 24, -4, -26, -54, 0, 20, -44, 18, 14, -62, 27, 0, -18, 2, -35, 0, 2, -44, 0, -46, -7, -44, 24, -48, 52, 0, 20, 64, 20, -68, 43, 23, 0, -26, -13, 90, -12, -36, 0, 0, -20, 2, 4, 14, 6, -32, 0, -3, 34, -52, 32, -8, -4, 0, 57, 14, -33, 2, -15, 18, 0, 0, -20, 26, -20, 56, -40, 0, -26, 60, 5, -18, 5, -32, 0, 72, 8, -64, 4, 3, -45, 0, 2, 42, 0, 38, 18, 64, 0, -28, -4, -8, 16, 52, -16, 0, -54, 1, 9, -54, 0, -24, 0, 44, -46, -6, -5, 0, 4, 0, 8, -78, 30, -62, -34, -22, 0, 56, 12, -36, -33, -16, 6, 0, 4, 20, 71, 18, 44, 30, 0, -9, -72, -1, -13, -50, -21, 0, 22, 5, -23, -88, -18, -48, 0, 12, -56, 60, 8, -52, -31, 0, -14, 0, 10, 16, 21, 12, 0, 39, -6, 58, 6, -58, -3, 0, 28, -52, -17, 26, -64, -84, 0, 72, 29, -12, -46, 4, 8, 0, -2, 38, -44, -60, 11, 34, 0, -10, 4, 8, 22, 14, -20, 0, 24, -12, 13, -4, 54, 0, 0, -98, -14, -16, 9, 16, 64, 0, -31, 30, -27, 38, 16, -28, 0, -84, -34, -40, -16, -48, 0, 0, 0, 7, -22, 49, 18, 56, 0, -18, 18, 2, 4, -34, 17, 0, 62, 8, -4, -66, 13, 4, 0, -6, 30, 0, -12, 9, -48, 0, 2, 0, -54, 22, 68, 44, 0, -4, -56, -4, 16, -76, -4, 0, -28, -24, 13, 92, 0, -40, 0, -54, -38, -50, -10, 30, -43, 0, 11, -8, 16, -22, -40, 10, 0, 100, 13, -46, -11, -28, 76, 0, 26, -16, 0, -9, 36, -18, 0, -10, 89, -22, 40, 3, 9, 0, -8, -28, -16, 20, -12, -28, 0, 22, 0, -48, -36, 104, 67, 0, 60, 106, -2, 59, -36, 38, 0, -28, -3, 4, -4, -32, 30, 0, 12, -96, -4, 0, 60, 70, 0, 28, 40, 30, -5, 66, -12, 0, 4, 18, 30, 40, -10, 22, 0, 20, 36, 64, -2, 70, 0, 0, -16, 2, 28, 56, 43, -6, 0, -109, -9, 106, 1, 63, 2, 0, 2, -76, 7, 24, -13, -8, 0, 0, -42, -1, -11, 16, 40, 0, 6, 76, 32, 46, 10, -18, 0, -12, -46, 84, 2, -60, 0, 0, -88, 92, 0, -88, -2, 24, 0, 68, 10, 4, -8, -17, 15, 0, 3, 62, 25, 32, 15, -162, 0, 74, -6, 44, 33, 0, -1, 0, -24, 44, 33, -10, 9, 32, 0, -32, 4, -54, -8, 92, 64, 0, 13, 9, -8, -34, 83, 56, 0, -152, -34, -6, 0, 2, -25, 0, -33, 116, 42, 18, 90, -26, 0, -10, 70, -18, -14, -12, -9, 0, -7, 0, -35, -24, 9, 10, 0, -24, -16, -76, -15, 20, 12, 0, 19, -38, 25, -28, -20, -28, 0, 6, 39, 6, 0, 58, 28, 0, 12, -116, 62, 64, -51, 116, 0, -104, 94, -9, -56, 14, -13, 0, -26, -52, -104, -62, 36, 0, 0, -20, 29, 8, 17, 24, -22, 0, 46, 4, -16, -100, -21, -6, 0, -76, 9, -124, -66, -26, -22, 0, 0, 78, 33, -5, -10, 4, 0, 70, -44, 0, 60, 18, 7, 0, -68, -60, 62, 6, -26, 30, 0, -6, 40, 0, -1, 66, -64, 0, -7, -72, -3, 30, 19, -32, 0, 38, 12, -68, 62, 26, -78, 0, -2, -76, 8, -6, 0, 12, 0, 76, -22, 12, 76, -20, -7, 0, 18, -2, 0, 36, 21, -44, 0, -14, 59, 12, 22, -48, -36, 0, -14, -45, -2, 36, -71, 5, 0, -36, 2, -6, -39, -32, -2, 0, 10, -28, 26, -9, 8, -48, 0, 168, 0, -8, -44, 76, -6, 0, -60, 8, -2, 28, 7, -108, 0, 64, -20, 56, -4, 92, -12, 0, -37, -44, -25, 0, -20, -39, 0, -56, -8, -138, 48, 8, -84, 0, -59, -113, -2, 20, -32, -52, 0, 48, -44, 84, 21, -92, 0, 0, -41, -14, 28, 108, 29, 34, 0, -28, 20, 32, -13, 124, 9, 0, 70, -54, -2, 28, -32, -32, 0, 23, 24, -20, 56, -4, 6, 0, -26, 18, 162, -54, 52, 56, 0, 156, 73, 20, 13, -102, -44, 0, 24, 18, 0, 66, 14, -74, 0, -62, -33, -26, 27, 44, -38, 0, 38, -148, -18, 42, 72, 2, 0, -14, -35, -112, -26, 0, 24, 0, 2, 116, 44, -44, 57, 56, 0, -166, 72, -46, -4, -168, -7, 0, -24, -44, -28, 20, 24, -80, 0, -48, -10, -76, 52, 106, -39, 0, 6, 96, 20, 102, 46, 64, 0, -60, 20, 32, -24, -68, -27, 0, 43, 0, -17, 23, -29, -74, 0, -75, 76, -26, -22, -60, -13, 0, 76, 90, 24, 8, -12, -114, 0, -36, -96, 68, 0, -136, -5, 0, 82, -184, -20, -40, -44, 2, 0, -6, 4, 2, 32, 14, -1, 0, 6, 38, 54, -32, -56, 0, 0, -96, 28, -3, -80, -10, 34, 0, 18, -52, -7, 0, 32, -126, 0, -8, -114, -68, -4, -4, 16, 0, 0, -48, 57, 96, -23, 14, 0, 26, -33, 74, 42, 2, 15, 0, -15, 150, -80, 18, -36, -100, 0, -152, -65, 0, -2, 64, -20, 0, 83, 26, -20, 19, -20, 46, 0, 56, -4, -54, -40, -72, -45, 0, -36, 20, -26, 48, 0, 60, 0, 8, 5, -48, -15, -18, -108, 0, 5, -58, 63, -32, 52, 34, 0, 150, -29, 72, -6, -4, 8, 0, 18, -64, -57, 12, 4, 0, 0, 3, 66, 16, -45, 22, 69, 0, 32, 52, 2, -70, -28, 42, 0, -88, 0, -9, 44, 38, -18, 0, 18, -64, 33, 64, -15, 110, 0, -32, -4, -28, -104, -36, -4, 0, 99, -8, 123, 0, 16, 32, 0, 52, -48, -112, -16, 60, 22, 0, 68, 38, -54, -156, -90, 1, 0, -79, 9, -118, 66, -54, 0, 0, 0, -36, 58, -24, -79, -122, 0, -168, -25, 44, 27, 36, -46, 0, 8, -6, 108, 84, -5, 36, 0, 0, -52, 4, 4, -126, -18, 0, 58, 30, 8, 48, -56, -78, 0, -6, 30, -92, 124, -62, 73, 0, -34, 66, 0, -22, -50, -32, 0, 112, 5, 56, -42, 26, 12, 0, -78, -36, -44, -86, -33, -116, 0, -16, -86, -114, 6, 0, 14, 0, -52, -128, 4, -24, 96, 20, 0, -144, 71, -132, -18, 18, -56, 0, 44, 137, 26, 30, -16, -150, 0, -26, 136, -9, 64, 152, -72, 0, -63, -1, 0, 40, -13, -12, 0, -50, -34, 66, -21, -62, 76, 0, -41, 0, 22, -200, -8, 5, 0, -88, -23, 12, -14, -88, 18, 0, -18, -88, 64, -48, -18, 52, 0, -60, -64, 12, 0, 80, -56, 0, 84, 60, -28, 40, 8, -48, 0, -52, -93, 164, -31, 0, 29, 0, -14, 10, -14, -52, 7, 0, 0, 120, 10, -50, 4, 16, -13, 0, 21, -68, -124, 12, -24, 82, 0, 72, 2, 39, -2, -50, -6, 0, 0, 58, 22, -98, 6, 30, 0, -58, -9, -16, -3, 54, 90, 0, -24, -98, 28, 20, -42, -52, 0, -76, -17, 0, 4, 26, -4, 0, -64, 12, 19, -84, 126, 60, 0, 18, 4, 72, -25, -24, 29, 0, 46, -12, 14, 100, -46, 66, 0, 4, 31, -152, 8, 2, -42, 0, 77, 36, -2, -7, 106, 38, 0, 102, -44, 188, -38, -60, -45, 0, 11, 216, 44, 34, 4, -66, 0, 34, 70, -10, 96, 140, 4, 0, -24, 8, -114, -2, 22, 64, 0, 14, 0, -232, -20, -40, 81, 0, -106, 18, 24, -86, -30, -12, 0, 160, 13, 72, -90, -4, 48, 0, 54, 148, 12, 0, -88, -110, 0, -16, 0, -98, 111, -6, -14, 0, -9, -16, -68, -128, 9, 96, 0, 16, -2, -100, 64, -176, 0, 0, 2, -35, -31, -14, 50, 30, 0, -4, -27, 78, 92, 38, 38, 0, 16, -18, 0, -28, 45, 4, 0, 0, 88, -84, 118, 54, -34, 0, -41, -40, -4, 84, -16, -82, 0, -48, -43, -68, 0, -168, -40, 0, -72, 112, 0, -64, 54, 7, 0, 28, -22, -104, 27, 49, -58, 0, 18, -72, -59, 56, 30, 120, 0, 66, 26, -18, -23, 0, 18, 0, 33, 2, -21, -74, 4, 28, 0, -34, 13, 64, 17, 62, -13, 0, -48, 28, 62, 20, 19, 8, 0, 92, -4, 172, -13, -66, 20, 0, 13, 108, -36, 4, 36, 196, 0, 152, -37, -6, -2, -40, 30, 0, -137, 0, 88, -186, -12, -212, 0, 9, 56, -12, -48, 14, -28, 0, -48, -114, 2, 124, -45, 0, 0, 4, -54, -12, 0, 22, -38, 0, 68, 0, 89, 44, -9, 88, 0, -98, -60, -4, 8, -54, -56, 0, 70, -4, 104, 48, 16, 0, 0, -76, -108, -58, -4, 168, -34, 0, 75, -22, -28, 88, -8, -24, 0, 22, 13, -86, 11, 92, -36, 0, 0, -14, 14, -40, 40, 0, 0, 88, -73, -54, 72, 22, -38, 0, -72, -50, 32, 96, -10, -38, 0, 30, -104, 0, -43, -36, -1, 0, -89, -142, 11, -108, -40, -8, 0, -4, 16, 32, 25, -22, 126, 0, -40, -26, -10, 10, 0, 136, 0, -92, -57, 100, -86, 186, 13, 0, 30, -46, -14, -157, -11, 76, 0, -28, 5, 66, 76, 52, -148, 0, 116, -112, 26, -189, -52, -16, 0, -180, 0, -24, -154, -9, 24, 0, 36, 10, 15, -18, 44, -50, 0, -74, 0, -10, -42, 120, 89, 0, 14, -22, 0, 72, 40, 72, 0, 3, 75, -4, 9, 2, -132, 0, 2, -248, -8, 0, 16, -28, 0, 56, -16, -44, -12, 20, 84, 0, -12, 64, 48, -28, -92, 18, 0, -140, 72, 22, -25, 36, 0, 0, -49, -48, -68, -24, -36, -60, 0, 104, -17, -154, 67, 40, -64, 0, 84, 10, 60, 16, -109, 106, 0, 0, -2, 10, -68, 59, 105, 0, -36, -72, -100, 38, -114, 180, 0, -160, 4, -28, -12, 110, -3, 0, 66, 4, 0, 55, -4, 1, 0, -32, -36, 16, 30, 46, -144, 0, -83, -36, 12, 124, 27, -96, 0, -70, -4, 86, 8, 0, -64, 0, 60, -56, -10, 70, -66, -48, 0, -52, -22, 28, 105, -68, 40, 0, -30, 30, -76, -112, -5, -160, 0, 66, 80, -132, -12, 106, 10, 0, -68, -52, 4, 36, 52, 18, 0, 30, 30, -120, 4, 40, -44, 0, -10, -115, 123, 22, -64, 36, 0, 74, 64, 20, -60, -224, 36, 0, -17, 64, -84, -22, -2, 72, 0, 70, -4, -94, 0, -144, -48, 0, -116, -60, -16, 40, 92, 2, 0, -32, 28, 170, -42, 56, -8, 0, 43, 56, -84, -6, -28, 0, 0, -58, 90, -109, -18, 140, -9, 0, 128, 106, 4, -60, 1, -66, 0, 63, 28, -84, 2, 36, 28, 0, 0, 66, 2, 196, 118, -76, 0, 54, 7, -2, -36, 24, -52, 0, -13, 32, -123, -8, -88, 220, 0, 200, 19, 0, -5, 56, -42, 0, -32, -1, 8, -134, -11, -22, 0, 16, -30, 116, 40, 72, 8, 0, 16, 184, 6, -104, 0, 76, 0, 2, 32, 296, 52, 46, 92, 0, 10, 80, 24, -18, 108, -88, 0, -70, -28, -12, -23, 26, -46, 0, -18, 84, 71, 158, 2, 108, 0, -60, -25, -184, 0, -108, -137, 0, 78, 48, -88, -84, 40, 92, 0, -170, 0, 96, -26, -88, -70, 0, -2, 28, 92, 24, -1, -192, 0, 12, -50, 68, -10, -148, 10, 0, -58, 4, 72, 0, -8, -204, 0, -17, -8, 142, 15, 30, -80, 0, -10, 101, 3, -140, -16, 62, 0, 96, 25, 156, 140, 32, 0, 0, 15, -72, 40, -162, 63, 124, 0, 28, 2, 74, 68, 2, -6, 0, -16, 44, -56, 116, 33, -102, 0, 0, 49, 170, -1, 28, -88, 0, -124, -24, -24, 308, -22, 44, 0, 72, 33, -46, 84, -10, 66, 0, 9, 50, 0, 32, -56, 24, 0, 188, -72, -32, -3, 26, 4, 0, -61, -54, 7, 78, -8, -10, 0, 92, 30, -40, 64, 0, 20, 0, -142, 72, 13, -48, -22, 9, 0, 6, -8, -86, -88, -34, 46, 0, 83, -60, -80, 56, 8, 12, 0, 0, 4, -152, 8, 18, -34, 0, -28, -6, -36, 74, 0, 204, 0, 2, -88, -52, -25, 94, 26, 0, 53, 0, -33, 100, 64, 116, 0, -208, 42, 156, 65, 18, -2, 0, 90, 6, -128, -26, -44, -72, 0, -174, -32, -10, 0, -152, 70, 0, 46, -18, 38, -206, -14, 176, 0, -12, -6, -118, -9, 126, -60, 0, -146, 96, -7, -112, -136, 0, 0, 120, -35, -88, 128, -24, 10, 0, 9, -220, 112, 10, -39, -58, 0, -95, 13, -24, -33, -42, -16, 0, 0, -76, -52, 104, -15, 18, 0, 20, 62, -14, 12, -88, 54, 0, 91, 324, 19, 2, -7, -38, 0, -8, 25, 0, 92, -28, 74, 0, -20, 6, -52, -28, -36, -32, 0, 16, -4, 6, -42, 224, 39, 0, -13, 6, 52, 16, 0, 62, 0, 58, 12, -60, 28, -78, 4, 0, -122, -172, 12, 244, 0, -116, 0, -116, 62, 156, -58, 64, 3, 0, -51, 110, 48, 116, 106, 156, 0, -8, 6, -104, -64, 0, 94, 0, 34, -9, -64, -50, -56, 56, 0, 14, 0, -26, -13, -162, -6, 0, 34, 120, -26, 96, 29, -52, 0, 248, -104, -156, 128, -62, 68, 0, 36, 168, 13, 0, -59, 7, 0, 12, -31, -20, 160, -144, 29, 0, 26, 8, -58, 48, 17, 60, 0, 24, -8, 118, -22, -142, 92, 0, -33, 44, 46, 2, -15, 4, 0, -16, -16, -28, -122, -100, 54, 0, -21, 316, -14, -6, 4, -308, 0, 0, -30, -76, -40, -192, 9, 0, -22, -124, -62, 24, -66, 120, 0, -26, -3, 74, -22, 40, 16, 0, -12, -68, 0, 82, 159, 78, 0, 206, 33, 232, -32, -5, 159, 0, -10, 117, -8, 4, -180, 46, 0, -16, -40, 70, 118, 0, -44, 0, 112, 0, 50, -28, 60, -114, 0, 18, -10, 116, 7, 240, 44, 0, -63, 160, -68, -64, -48, -60, 0, 165, 62, 24, -24, 6, 120, 0, -26, -38, 2, 30, -1, 48, 0, -20, -16, -6, -108, -44, 40, 0, 94, 0, -42, 26, -1, 116, 0, 66, -143, 42, -64, 196, 95, 0, 20, -80, -7, -88, 36, -72, 0, 32, -3, 232, 0, 30, -18, 0, 19, -4, -14, -32, 94, 118, 0, 176, -128, 38, -45, -96, 12, 0, 83, -68, -46, -58, 62, 0, 0, 26, -98, -60, -78, 92, -18, 0, 54, 0, -2, 6, -36, -76, 0, -64, 8, -74, 8, -6, 73, 0, 0, 56, -20, 12, -69, 124, 0, 158, 18, 76, -88, 168, -22, 0, -28, 12, 68, 128, 76, 70, 0, -20, 84, 0, -7, 44, 32, 0, -40, 162, 18, 96, 58, -2, 0, -60, 0, 54, 7, 36, 0, 0, 21, 232, 9, -44, 0, 218, 0, -144, 118, -14, -166, 96, 59, 0, 44, 12, -18, -165, 22, -98, 0, -48, 117, 144, -36, 186, -69, 0, 104, 28, -14, -68, -78, -45, 0, 2, -2, -148, 26, 36, 13, 0, -71, 244, -36, 5, 88, -68, 0, -4, 0, -36, -58, 26, 2, 0, 110, -6, 73, 68, -39, -92, 0, -32, -34, 132, -2, -140, -19, 0, -70, -124, 10, 0, -124, -28, 0, 116, 26, 4, -48, -9, -43, 0, 8, 66, -70, -48, -136, 132, 0, 126, 135, 168, -26, -60, 0, 0, 47, -8, 82, 100, -44, -32, 0, 76, -12, 230, -6, 12, -157, 0, -36, 74, -60, 134, -75, 8, 0, 0, -2, 132, 9, 28, 24, 0, 7, 60, -93, -108], "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": "861.2.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], [2, 1], [-2, 0], [0, -1], [0, 0], [-4, -1], [1, 0], [0, 2], [5, -1], [2, 1], [0, -2], [0, 0], [-2, 0], [0, 3], [-3, 1], [0, -1], [-2, -2], [-4, -2], [0, 0], [4, -4], [0, 0], [-4, -1], [-1, 0], [8, 2], [1, 0], [0, 0], [1, -3], [0, 2], [-7, -1], [-4, -1], [5, -1], [-4, 2], [0, 0], [2, 1], [5, -3], [8, 4], [0, -2], [8, 2], [1, 0], [0, 0], [-5, -3], [6, 2], [-2, 0], [0, 0], [1, 3], [0, 3], [0, 0], [0, 1], [-3, 1], [-8, -6], [2, 0], [0, -1], [-10, 2], [0, 0], [-2, -2], [12, 2], [4, 0], [-4, -2], [7, -1], [4, 8], [0, 0], [4, -1], [0, 4], [4, -4], [-2, 6], [-2, 0], [0, 0], [0, 0], [5, 3], [-4, -1], [7, -5], [12, -2], [-1, 0], [-12, -8], [0, 0], [8, 2], [-2, 2], [0, -6], [1, 0], [0, -1], [6, -2], [0, 0], [6, -2], [12, 8], [1, -3], [-16, 0], [-2, -4], [0, 2], [0, 0], [0, 0], [-7, -1], [-12, -4], [4, 4], [-4, -1], [18, 0], [0, 0], [5, -1], [-2, -1]]}