# Stored data for newform 1575.2.a.l, downloaded from the LMFDB on 16 April 2024.
{"label": "1575.2.a.l", "space_label": "1575.2.a", "level": 1575, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934631463, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 214379634415624343, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 3, 1]], [11, [-19, -2, 1]], [13, [4, -6, 1]]], "qexp_display": "q+(-1-\\beta )q^{2}+3\\beta q^{4}-q^{7}+(-1+\\cdots)q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6300, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 12.576438318351661, "hecke_ring_index": 1, "level_radical": 105, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [1575, 1, [1226, 127, 451], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7], "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": "1.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.864", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "56.274", "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": [-3, 0, 0, -2], "traces": [0, 2, -3, 0, 3, 0, 0, -2, -6, 0, 0, 2, 0, 6, 3, 0, 13, 2, 0, -2, 0, 0, -13, -10, 0, 0, -4, 0, -3, 4, 0, 0, -15, 0, -18, 0, 0, 2, 8, 0, 0, 16, 0, 12, 33, 0, 15, -10, 0, 2, 0, 0, -6, 8, 0, 0, 6, 0, 9, 6, 0, -4, -10, 0, 4, 0, 0, 8, 48, 0, 0, 10, 0, -2, -13, 0, -18, -2, 0, 8, 0, 0, -24, -16, 0, 0, -23, 0, -46, -2, 0, -6, -15, 0, 20, 0, 0, 16, -3, 0, 0, 22, 0, 6, 2, 0, -2, -8, 0, 14, 0, 0, -13, 28, 0, 0, -39, 0, -4, -2, 0, 20, 36, 0, 30, 0, 0, -20, 9, 0, 0, 22, 0, 2, 3, 0, -66, -8, 0, -6, 0, 0, -5, -14, 0, 0, -2, 0, 33, -12, 0, 16, 26, 0, 13, 0, 0, 16, -7, 0, 0, 10, 0, 28, 24, 0, 34, 26, 0, 2, 0, 0, 33, 30, 0, 0, 43, 0, -12, 8, 0, -22, 4, 0, 30, 0, 0, 62, -30, 0, 0, -4, 0, -26, -34, 0, 3, 16, 0, -32, 0, 0, -18, -4, 0, 0, -24, 0, 24, -22, 0, 8, -18, 0, -8, 0, 0, 0, 9, 0, 0, -24, 0, 2, 15, 0, -47, 14, 0, 0, 0, 0, 48, -28, 0, 0, -6, 0, 18, 12, 0, 34, -50, 0, -96, 0, 0, 4, -40, 0, 0, -10, 0, -10, 35, 0, -9, 8, 0, -2, 0, 0, -18, -22, 0, 0, -8, 0, -33, 48, 0, 42, 58, 0, 2, 0, 0, 4, -6, 0, 0, 4, 0, 0, -15, 0, -4, -16, 0, 58, 0, 0, 12, 22, 0, 0, -46, 0, 23, -30, 0, -12, -9, 0, -28, 0, 0, 18, -33, 0, 0, -22, 0, 2, -44, 0, -3, -4, 0, -56, 0, 0, -15, -32, 0, 0, -52, 0, -48, 10, 0, 32, -54, 0, -24, 0, 0, -48, 27, 0, 0, 40, 0, -2, -56, 0, -20, 26, 0, 6, 0, 0, -45, -20, 0, 0, 42, 0, 8, -34, 0, -26, -2, 0, 6, 0, 0, 0, -65, 0, 0, -8, 0, -30, -118, 0, 50, 42, 0, -16, 0, 0, -24, -10, 0, 0, 9, 0, 54, 8, 0, -10, -6, 0, -19, 0, 0, -36, 48, 0, 0, 40, 0, -20, -12, 0, -9, 42, 0, 6, 0, 0, 54, -6, 0, 0, -30, 0, 48, -36, 0, 26, -32, 0, 16, 0, 0, 4, 48, 0, 0, -32, 0, 12, 10, 0, -69, 10, 0, -18, 0, 0, -4, -52, 0, 0, 2, 0, -4, -20, 0, 16, 57, 0, -16, 0, 0, -50, -50, 0, 0, 10, 0, 12, -19, 0, 27, -12, 0, -8, 0, 0, 2, 32, 0, 0, -48, 0, -68, 42, 0, -14, -56, 0, 90, 0, 0, -36, 132, 0, 0, 10, 0, -86, 4, 0, 30, -10, 0, 8, 0, 0, 10, -8, 0, 0, 65, 0, -45, 30, 0, 2, 18, 0, -22, 0, 0, -30, 13, 0, 0, 4, 0, 0, -12, 0, 13, 60, 0, 4, 0, 0, 18, 48, 0, 0, 36, 0, -82, 2, 0, -18, -68, 0, -60, 0, 0, -12, 18, 0, 0, 26, 0, -8, 34, 0, 36, -16, 0, 26, 0, 0, 29, -8, 0, 0, 30, 0, 10, 20, 0, -68, 54, 0, 24, 0, 0, 18, -117, 0, 0, 16, 0, -32, -14, 0, -68, -26, 0, -20, 0, 0, 43, 12, 0, 0, -33, 0, 20, 74, 0, -12, 23, 0, -21, 0, 0, 18, 30, 0, 0, -20, 0, 38, -62, 0, 46, 12, 0, 10, 0, 0, 38, 2, 0, 0, 12, 0, 84, 62, 0, -40, -4, 0, 41, 0, 0, 6, 79, 0, 0, 44, 0, 0, 15, 0, 68, 20, 0, -14, 0, 0, 72, -24, 0, 0, 104, 0, -20, -64, 0, -6, -43, 0, 88, 0, 0, -20, -6, 0, 0, -124, 0, -12, 82, 0, -87, -24, 0, -16, 0, 0, -70, -46, 0, 0, 3, 0, 93, 44, 0, 20, -30, 0, -39, 0, 0, 16, -4, 0, 0, -40, 0, -22, 64, 0, 10, -22, 0, 52, 0, 0, -54, 0, 0, 0, -48, 0, 71, -4, 0, -6, 29, 0, 72, 0, 0, 30, -2, 0, 0, 42, 0, 24, 20, 0, 75, -52, 0, 12, 0, 0, 2, -20, 0, 0, 45, 0, 168, 8, 0, 36, -80, 0, -8, 0, 0, -10, -31, 0, 0, 44, 0, -14, 84, 0, 60, 28, 0, 44, 0, 0, 51, 52, 0, 0, -88, 0, -7, -16, 0, -30, 90, 0, 13, 0, 0, 82, 9, 0, 0, -28, 0, 48, 54, 0, -48, 22, 0, -40, 0, 0, -75, 18, 0, 0, 0, 0, -6, 36, 0, -12, 39, 0, -83, 0, 0, -22, 16, 0, 0, 4, 0, -12, -78, 0, 4, -46, 0, 58, 0, 0, -18, 2, 0, 0, -78, 0, 34, -14, 0, 40, -9, 0, 72, 0, 0, -20, 22, 0, 0, -10, 0, 60, -36, 0, -56, -52, 0, 8, 0, 0, 88, -22, 0, 0, -88, 0, -30, -12, 0, 54, 78, 0, -40, 0, 0, 12, 32, 0, 0, 32, 0, 64, 84, 0, 48, 4, 0, 20, 0, 0, -12, 20, 0, 0, -9, 0, 15, -60, 0, -52, -104, 0, -104, 0, 0, 12, 6, 0, 0, -42, 0, -56, 85, 0, 150, -22, 0, -4, 0, 0, 20, 50, 0, 0, -68, 0, 15, 38, 0, -2, 3, 0, 58, 0, 0, -36, -3, 0, 0, -36, 0, -80, 24, 0, -113, -48, 0, -16, 0, 0, 66, 8, 0, 0, 168, 0, -68, 8, 0, -22, -4, 0, 66, 0, 0, -40, -140, 0, 0, 26, 0, 6, 29, 0, -116, -20, 0, 58, 0, 0, -5, 32, 0, 0, 114, 0, -24, -60, 0, -32, -30, 0, 5, 0, 0, 38, 68, 0, 0, 14, 0, -24, 0, 0, 42, 12, 0, 82, 0, 0, -165, 58, 0, 0, 80, 0, -80, -6, 0, 50, 2, 0, -79, 0, 0, 34, 42, 0, 0, -50, 0, 36, 100, 0, -33, -184, 0, -46, 0, 0, -86, 12, 0, 0, 80, 0, -6, 46, 0, -84, 27, 0, -100, 0, 0, -16, -6, 0, 0, -48, 0, 42, -26, 0, -32, 56, 0, -68, 0, 0, 7, -56, 0, 0, 102, 0, -13, -28, 0, 50, 47, 0, 78, 0, 0, 4, 94, 0, 0, -20, 0, -34, 83, 0, -16, 12, 0, -16, 0, 0, -44, -38, 0, 0, 7, 0, -114, -12, 0, -38, -42, 0, -11, 0, 0, -34, -24, 0, 0, 4, 0, -32, -99, 0, 82, -10, 0, -10, 0, 0, -90, 66, 0, 0, 35, 0, -35, -82, 0, -28, 117, 0, -58, 0, 0, 40, -24, 0, 0, 54, 0, -28, -32, 0, 177, -36, 0, 64, 0, 0, -34, -70, 0, 0, 18, 0, 2, -26, 0, 64, 138, 0, -6, 0, 0, 72, 40, 0, 0, -32, 0, -2, -45, 0, 52, -6, 0, 32, 0, 0, 56, -36, 0, 0, 30, 0, -131, -106, 0, -10, 68, 0, -33, 0, 0, -50, 12, 0, 0, -30, 0, 50, -12, 0, -34, 102, 0, -40, 0, 0, 20, 32, 0, 0, -37, 0, 132, -32, 0, 4, -43, 0, -53, 0, 0, -28, -60, 0, 0, 28, 0, 48, -48, 0, 12, -6, 0, 32, 0, 0, -42, -8, 0, 0, -128, 0, -118, 12, 0, 28, 105, 0, 37, 0, 0, 22, -111, 0, 0, 0, 0, 22, -4, 0, -69, -84, 0, 4, 0, 0, -51, 32, 0, 0, 100, 0, -30, -64, 0, -124, -108, 0, -10, 0, 0, -34, -4, 0, 0, -54, 0, 8, -124, 0, 66, -116, 0, -62, 0, 0, -120, 96, 0, 0, 30, 0, 116, -10, 0, 90, -16, 0, 33, 0, 0, -28, -134, 0, 0, 78, 0, 20, -45, 0, -18, 4, 0, -12, 0, 0, 236, -22, 0, 0, 18, 0, -102, 10, 0, 26, 114, 0, 106, 0, 0, -30, 34, 0, 0, -34, 0, 10, 90, 0, 29, 94, 0, -32, 0, 0, -3, 20, 0, 0, -105, 0, -16, -16, 0, -14, 20, 0, 10, 0, 0, -8, 39, 0, 0, -64, 0, 32, -144, 0, -6, -40, 0, -66, 0, 0, 90, 20, 0, 0, 48, 0, -41, 56, 0, -76, 30, 0, 18, 0, 0, 102, -118, 0, 0, 4, 0, -56, 32, 0, 50, 50, 0, -60, 0, 0, 56, -62, 0, 0, -111, 0, 96, -26, 0, -38, 24, 0, -9, 0, 0, -14, -74, 0, 0, 74, 0, 102, 30, 0, -24, -20, 0, 28, 0, 0, -158, 22, 0, 0, -36, 0, -60, 74, 0, -132, -20, 0, 53, 0, 0, -8, -13, 0, 0, -80, 0, -42, 18, 0, -60, 64, 0, -44, 0, 0, -45, 4, 0, 0, -286, 0, 8, -2, 0, 2, -104, 0, 90, 0, 0, 32, -102, 0, 0, -76, 0, 88, 35, 0, 141, 16, 0, 0, 0, 0, 4, -10, 0, 0, -9, 0, -108, 54, 0, -2, -150, 0, -12, 0, 0, 76, -96, 0, 0, -40, 0, 36, -42, 0, -98, 24, 0, -58, 0, 0, 134, -42, 0, 0, -3, 0, 64, -50, 0, -2, 5, 0, -240, 0, 0, -44, -15, 0, 0, 60, 0, 20, -118, 0, -28, 36, 0, -20, 0, 0, 47, -48, 0, 0, 8, 0, -54, -14, 0, 32, 96, 0, -98, 0, 0, 72, 140, 0, 0, 56, 0, 0, 105, 0, -22, 72, 0, -74, 0, 0, 60, -34, 0, 0, 98, 0, -29, -88, 0, 70, 18, 0, -48, 0, 0, -6, 123, 0, 0, 28, 0, -50, 68, 0, -66, -34, 0, -32, 0, 0, -26, -40, 0, 0, 103, 0, 84, 76, 0, -50, 6, 0, 89, 0, 0, -18, -82, 0, 0, -44, 0, -16, 52, 0, -18, -26, 0, 60, 0, 0, 126, -12, 0, 0, 6, 0, 66, 10, 0, 46, 0, 0, -51, 0, 0, -34, -104, 0, 0, -28, 0, 112, 50, 0, -30, 14, 0, -96, 0, 0, 65, 96, 0, 0, -140, 0, 96, -28, 0, 42, 8, 0, 108, 0, 0, -68, -2, 0, 0, -46, 0, 36, -168, 0, 13, 96, 0, -4, 0, 0, 228, 60, 0, 0, 40, 0, -17, -30, 0, 40, -16, 0, 1, 0, 0, 56, 90, 0, 0, 96, 0, 80, -18, 0, -42, 10, 0, -32, 0, 0, -98, 96, 0, 0, -101, 0, -88, 172, 0, 10, 12, 0, -36, 0, 0, 26, -35, 0, 0, -44, 0, -18, 14, 0, -60, -74, 0, 40, 0, 0, 9, 68, 0, 0, 15, 0, 70, -8, 0, 50, 28, 0, 264, 0, 0, -48, 197, 0, 0, -126, 0, 2, 32, 0, -22, -40, 0, 112, 0, 0, 33, 78, 0, 0, 174, 0, -105, -20, 0, 72, -200, 0, 18, 0, 0, -34, -79, 0, 0, 22, 0, -36, -90, 0, -20, 90, 0, -4, 0, 0, 168, -166, 0, 0, -82, 0, -82, -118, 0, -130, 8, 0, 24, 0, 0, -2, -138, 0, 0, -2, 0, -26, 4, 0, 33, -32, 0, -48, 0, 0, 114, -48, 0, 0, 120, 0, -30, 12, 0, -120, 243, 0, 92, 0, 0, -42, 4, 0, 0, -16, 0, -70, -58, 0, 33, 36, 0, 80, 0, 0, -236, -12, 0, 0, 78, 0, -2, 8, 0, 58, 33, 0, 54, 0, 0, -80, -122, 0, 0, -30, 0, 30, 20, 0, 190, -26, 0, -4, 0, 0, 16, 106, 0, 0, 6, 0, 21, 62, 0, 80, 120, 0, 15, 0, 0, -36, -92, 0, 0, -32, 0, 78, -15, 0, -18, -4, 0, -72, 0, 0, -84, 102, 0, 0, 28, 0, 115, -76, 0, 0, -7, 0, 60, 0, 0, 16, 15, 0, 0, 118, 0, -78, -132, 0, -228, -44, 0, -60, 0, 0, 4, -90, 0, 0, -4, 0, 10, 16, 0, 0, -102, 0, -8, 0, 0, -28, -133, 0, 0, -70, 0, -58, 230, 0, -102, 54, 0, -70, 0, 0, -145, -32, 0, 0, 150, 0, 9, -10, 0, 8, -60, 0, -12, 0, 0, 10, 165, 0, 0, -22, 0, -12, -16, 0, -64, 140, 0, 80, 0, 0, 145, 126, 0, 0, -74, 0, -210, -60, 0, 46, 46, 0, 336, 0, 0, -60, 74, 0, 0, 104, 0, -64, 246, 0, -23, 22, 0, 62, 0, 0, -240, 30, 0, 0, 98, 0, -54, -16, 0, 116, 81, 0, -14, 0, 0, 12, 120, 0, 0, -32, 0, 72, 9, 0, 6, -34, 0, 64, 0, 0, 102, 94, 0, 0, -88, 0, 28, 48, 0, 74, -48, 0, -174, 0, 0, 124, 162, 0, 0, 18, 0, -92, -15, 0, 79, -38, 0, -18, 0, 0, -184, 36, 0, 0, 33, 0, 32, -50, 0, -32, -100, 0, -87, 0, 0, -4, -146, 0, 0, 108, 0, 64, -51, 0, -66, 22, 0, 28, 0, 0, -20, -14, 0, 0, 31, 0, -213, -32, 0, -2, -22, 0, -18, 0, 0, -12, 44, 0, 0, -40, 0, 28, 54, 0, 87, -82, 0, -34, 0, 0, 3, 68, 0, 0, 148, 0, -2, 4, 0, 0, -38, 0, 6, 0, 0, -68, 81, 0, 0, -80, 0, 56, 61, 0, -6, 20, 0, -36, 0, 0, 4, -6, 0, 0, -22, 0, 128, 140, 0, 20, -222, 0, 15, 0, 0, -124, 85, 0, 0, 32, 0, 20, 120, 0, -144, -10, 0, 82, 0, 0, -45, -58, 0, 0, 45, 0, 78, 28, 0, -50, 52, 0, -147, 0, 0, -78, -16, 0, 0, 46, 0, 12, -70, 0, 48, -116, 0, -60, 0, 0, -86, -10, 0, 0, 122, 0, 42, 20, 0, -56, -294, 0, 4, 0, 0, -32, -136, 0, 0, 88, 0, -110, 54, 0, 155, 64, 0, 52, 0, 0, 42, -32, 0, 0, 0, 0, 24, 34, 0, 2, -121, 0, -206, 0, 0, 36, 96, 0, 0, -146, 0, -136, -88, 0, -60, 38, 0, 48, 0, 0, 38, 84, 0, 0, -27, 0, 64, -30, 0, 14, -192, 0, 49, 0, 0, 142, 72, 0, 0, -96, 0, -18, -93, 0, 84, -40, 0, -26, 0, 0, -10, -94, 0, 0, 171, 0, 119, 60, 0, 2, 105, 0, -168, 0, 0, 28, 56, 0, 0, -14, 0, 30, 10, 0, 59, -8, 0, 48, 0, 0, 20, -84, 0, 0, -105, 0, -18, -26, 0, 136, 16, 0, -128, 0, 0, -18, 10, 0, 0, 44, 0, -6, 0, 0, -58, -52, 0, -20, 0, 0, -3, -18, 0, 0, -194, 0, 138, 82, 0, 40, -46, 0, 45, 0, 0, 114, 123, 0, 0, 20, 0, 8, 22, 0, 150, -4, 0, -52, 0, 0, -32, -72, 0, 0, -217, 0, 86, 8, 0, -20, -42, 0, 89, 0, 0, -6, -68, 0, 0, -32, 0, 40, 54, 0, -8, -70, 0, -138, 0, 0, 164, 34, 0, 0, 168, 0, -128, 200, 0, 150, -32, 0, -195, 0, 0, 26, -45, 0, 0, -54, 0, -42, 2, 0, 152, 26, 0, 148, 0, 0, -80, 6, 0, 0, -28, 0, -6, -40, 0, -88, 148, 0, 76, 0, 0, -74, -6, 0, 0, 58, 0, 32, 21, 0, -88, -74, 0, 0, 0, 0, -300, -40, 0, 0, 65, 0, 131, -84, 0, -94, 176, 0, 176, 0, 0, -96, -30, 0, 0, 50, 0, -106, 151, 0, 54, 8, 0, -140, 0, 0, -14, -12, 0, 0, 13, 0, 212, 10, 0, 30, -126, 0, 164, 0, 0, 62, 118, 0, 0, -166, 0, -84, 32, 0, -44, -30, 0, 212, 0, 0, -50, 68, 0, 0, -156, 0, -70, -42, 0, -24, -130, 0, 66, 0, 0, -60, -76, 0, 0, 54, 0, 16, 57, 0, 150, 96, 0, -10, 0, 0, -127, 44, 0, 0, -90, 0, 195, 136, 0, -36, 124, 0, 24, 0, 0, 100, -12, 0, 0, 10, 0, 72, -336, 0, -22, 56, 0, 38, 0, 0, -18, -108, 0, 0, 184, 0, 0, 118, 0, 18, -9, 0, -77, 0, 0, 44, -246, 0, 0, 90, 0, -74, 20, 0, -54, -36, 0, 92, 0, 0, 96, -8, 0, 0, -80, 0, -160, 74, 0, -36, 51, 0, -141, 0, 0, 10, 28, 0, 0, 4, 0, -16, 6, 0, -25, 64, 0, 2, 0, 0, 54, -12, 0, 0, -84, 0, 19, 60, 0, 10, 21, 0, -120, 0, 0, 100, 120, 0, 0, 88, 0, -20, 12, 0, -78, -14, 0, 36, 0, 0, 16, -100, 0, 0, -48, 0, 384, 90, 0, 54, 2, 0, 165, 0, 0, -66, 34, 0, 0, 80, 0, 48, -150, 0, -180, -40, 0, -34, 0, 0, -78, -28, 0, 0, -99, 0, -169, -68, 0, 20, 244, 0, -20, 0, 0, 48, 12, 0, 0, 22, 0, 150, -28, 0, 198, -52, 0, -64, 0, 0, 9, -164, 0, 0, 179, 0, -30, -42, 0, -96, -150, 0, -20, 0, 0, 62, 50, 0, 0, 98, 0, -6, -8, 0, -2, 80, 0, 14, 0, 0, 182, -178, 0, 0, -276, 0, 49, -152, 0, 18, -38, 0, -54, 0, 0, -106, 38, 0, 0, 6, 0, 58, -54, 0, -38, 0, 0, 16, 0, 0, -81, 56, 0, 0, -173, 0, -180, -148, 0, 80, 30, 0, 80, 0, 0, -70, -82, 0, 0, 100, 0, -12, 348, 0, -48, 104, 0, 134, 0, 0, 36, 36, 0, 0, 80, 0, -56, 0, 0, -120, 208, 0, -45, 0, 0, -26, -3, 0, 0, 52, 0, -72, 32, 0, 3, -126, 0, 88, 0, 0, 135, 54, 0, 0, 128, 0, -16, -72, 0, -42, 240, 0, -146, 0, 0, -100, 76, 0, 0, 62, 0, -56, 90, 0, -31, -78, 0, -4, 0, 0, 478, -16, 0, 0, -48, 0, 143, 28, 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.e", "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], [-1, -1], [0, 0], [0, 3], [0, 0], [0, 0], [-1, 0], [-1, -4], [0, 0], [0, 0], [-1, 4], [0, 0], [4, -2], [1, 1], [0, 0], [5, 3], [-2, 6], [0, 0], [0, -2], [0, 0], [0, 0], [-3, -7], [-5, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [0, -3], [5, -6], [0, 0], [-2, 4], [-6, -3], [0, 0], [-4, -10], [0, 0], [0, 0], [-1, 4], [2, 4], [0, 0], [0, 0], [8, 0], [0, 0], [5, 2], [12, 9], [0, 0], [5, 5], [-4, -2], [0, 0], [1, 0], [0, 0], [0, 0], [-6, 6], [6, -4], [0, 0], [0, 0], [1, 4], [0, 0], [1, 7], [4, -2], [0, 0], [4, -12], [-2, -6], [0, 0], [-1, 6], [0, 0], [0, 0], [7, -6], [18, 12], [0, 0], [0, 0], [7, -4], [0, 0], [-2, 2], [-3, -7], [0, 0], [-6, -6], [1, -4], [0, 0], [5, -2], [0, 0], [0, 0], [-8, -8], [-6, -4], [0, 0], [0, 0], [-7, -9], [0, 0], [-15, -16], [-4, 6], [0, 0], [-4, 2], [0, -15], [0, 0], [6, 8], [0, 0], [0, 0], [6, 4], [-1, -1], [0, 0], [0, 0]]}