# Stored data for newform 1725.2.a.bi, downloaded from the LMFDB on 01 May 2024.
{"label": "1725.2.a.bi", "space_label": "1725.2.a", "level": 1725, "weight": 2, "hecke_orbit": 35, "hecke_orbit_code": 153122387364153021, "dim": 3, "is_polredabs": true, "nf_label": "3.3.316.1", "trace_hash": 1455200584752924069, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [2, -4, -1, 1]], [7, [-8, 5, 6, 1]], [11, [-8, -6, 2, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}-\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6900, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 13.774194348670866, "hecke_ring_index": 1, "level_radical": 345, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [1725, 1, [1151, 277, 1201], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 23], "conrey_indexes": [1], "field_disc": 316, "field_disc_factorization": [[2, 2], [79, 1]], "field_poly": [2, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.848", "prec": 17}, {"__RealLiteral__": 0, "data": "0.276", "prec": 17}, {"__RealLiteral__": 0, "data": "21.506", "prec": 20}, {"__RealLiteral__": 0, "data": "5.126", "prec": 17}, {"__RealLiteral__": 0, "data": "233.160", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [23, 1]], "trace_display": [1, -3, 0, -6], "traces": [0, 3, 1, -3, 3, 0, -1, -6, 3, 3, 0, -2, -3, -4, -6, 0, -1, 2, 1, 2, 0, 6, 4, -3, -3, 0, -6, -3, -20, -6, 0, 2, 7, 2, -8, 0, 3, 0, -12, 4, 0, -2, 6, -20, -12, 0, -1, 6, 1, 5, 0, -2, 6, 6, -1, 0, -20, -2, -28, -12, 0, -4, 14, -6, -17, 0, -4, 6, -2, 3, 0, -8, 3, 8, 4, 0, -16, 14, 6, -4, 0, 3, 24, -8, 20, 0, -24, 6, -12, 6, 0, -2, -3, -2, -20, 0, -7, -14, 31, -2, 0, -10, 8, -4, 6, 0, -24, -4, -3, -12, 0, 0, 8, 18, 12, 0, -18, -4, -38, 0, 0, -17, -14, 2, -4, 0, -6, -42, -41, 20, 0, 0, 12, 14, 50, 0, -2, -2, 1, -10, 0, -6, 14, -12, -1, 0, 14, -5, 14, -4, 0, 8, -16, 2, 0, 0, -6, -16, -20, -6, 0, 6, 1, -40, 58, 0, -2, -14, 20, -19, 0, 2, -28, 30, 28, 0, 20, 12, -34, -8, 0, 10, 12, 4, -3, 0, -14, -6, 8, 6, 0, 10, 17, 18, 6, 0, 55, -2, 4, 12, 0, -6, 48, 24, 2, 0, 76, -3, -18, 4, 0, -22, -6, 8, -46, 0, -3, 2, -34, -8, 0, 2, -4, 4, 8, 0, 68, -44, 16, -22, 0, -14, -18, 34, -6, 0, -52, 4, 26, 0, 0, 12, -23, -3, -22, 0, -24, -8, -4, 8, 0, -40, -20, 2, 16, 0, -1, 40, 24, -14, 0, -6, 0, -24, 12, 0, 52, -6, 16, -34, 0, 6, -14, 2, -62, 0, 3, -10, 26, 2, 0, -28, 20, -10, 24, 0, 4, -56, 7, -41, 0, 14, 74, 34, -31, 0, 14, 2, 22, 4, 0, 48, 36, 10, -8, 0, -8, -14, 24, 4, 0, 44, -6, 40, 68, 0, 36, 44, 24, -10, 0, 4, 6, 14, 3, 0, -40, 12, 58, -14, 0, -46, -32, 0, 36, 0, -8, -10, -5, -18, 0, 18, -12, -18, -28, 0, 34, 16, 18, -16, 0, 4, -4, 48, 38, 0, 38, 0, -20, 22, 0, -25, -46, 17, 16, 0, 14, 10, 1, -2, 0, 0, 4, -14, 20, 0, 8, 22, 6, 0, 0, 42, 44, -8, 41, 0, -46, -20, -82, -34, 0, -2, 55, 0, 94, 0, -12, -30, 24, -14, 0, -6, -50, -22, 38, 0, 102, -10, 2, -40, 0, 2, 56, 64, -1, 0, -10, 10, 28, -14, 0, 60, 14, 6, -6, 0, -14, 26, 24, 12, 0, 20, 1, 16, -38, 0, -38, -2, -14, 28, 0, 5, -4, 22, -14, 0, 12, 4, 56, -26, 0, -34, -2, -8, 4, 0, 16, -56, 26, -2, 0, -2, 0, 2, -38, 0, 38, -20, 6, -22, 0, 16, -52, 4, 20, 0, 12, 6, -70, 82, 0, 10, 34, -6, -25, 0, -1, -34, -22, 40, 0, 16, -58, 22, -4, 0, 32, -16, 2, -26, 0, 14, -56, -48, -20, 0, -4, 19, -16, -26, 0, -82, -9, -2, 106, 0, 28, -28, -26, -30, 0, 24, -28, -20, 0, 0, -14, -12, -20, 3, 0, -12, 48, 38, 34, 0, 16, 8, 40, -24, 0, 70, -66, -10, 26, 0, -12, -28, -6, -4, 0, 34, 3, -32, -54, 0, 40, 6, 14, 36, 0, 6, -10, -92, -8, 0, -94, -6, 24, -22, 0, -46, 16, -10, -130, 0, -17, -74, -27, -18, 0, 40, -6, -18, 74, 0, -56, 8, -55, -6, 0, 2, -6, 12, -4, 0, -54, -12, 6, -24, 0, -64, 100, 6, 72, 0, -48, -22, 48, -24, 0, 16, -2, -22, 24, 0, 24, 6, -76, -40, 0, 3, -36, -44, 18, 0, 44, -4, 30, -4, 0, -10, 36, 22, -34, 0, 6, 14, 44, -8, 0, 0, 46, 2, 20, 0, 0, -18, 3, 14, 0, -2, -28, 16, 34, 0, -10, 8, 52, -26, 0, 30, 10, -2, -32, 0, 4, 6, -56, -4, 0, 8, -8, 44, -6, 0, -67, -50, -68, 96, 0, 44, -24, 34, -16, 0, -106, 22, -20, 6, 0, -76, 114, 14, 12, 0, 18, -26, 84, -34, 0, -8, 6, -18, 12, 0, -14, -28, 52, 60, 0, -4, 38, -2, -26, 0, -16, 0, 4, 84, 0, -52, 9, -12, -110, 0, 23, 50, 16, 3, 0, 4, 22, -92, -38, 0, -7, 34, 24, 58, 0, 8, 78, -88, 4, 0, -38, -8, -8, -20, 0, -58, -48, 40, 12, 0, 20, -52, 48, -2, 0, 34, -16, 50, -32, 0, -26, 10, 1, -32, 0, -40, -6, 26, -24, 0, -82, 14, 14, -86, 0, -10, 8, 6, 7, 0, 0, 34, 66, 24, 0, -16, -12, 0, -106, 0, -76, 78, -52, 26, 0, 6, 10, -60, -16, 0, -4, 34, 38, -10, 0, -70, 116, -6, -8, 0, 14, 12, -140, -2, 0, 14, 62, 16, 56, 0, 166, -16, -3, -20, 0, 10, 22, -26, -26, 0, -8, -2, 76, 68, 0, 3, 6, 28, 0, 0, -20, 42, -42, 10, 0, 0, -24, -62, 64, 0, 24, -66, -4, 98, 0, 56, 120, -72, -7, 0, 20, 41, -28, -56, 0, -46, -38, -14, 12, 0, -74, -30, -84, -34, 0, 88, 31, 26, 12, 0, -40, 16, -14, 58, 0, -2, -64, 24, -22, 0, 104, -4, -72, -44, 0, 30, -52, -48, -2, 0, -36, 70, -84, -10, 0, -16, 8, 30, -76, 0, 42, 0, 8, -4, 0, 14, 22, 26, -24, 0, -84, -4, 50, 130, 0, -76, 22, -44, 106, 0, 6, -14, -166, -40, 0, 104, -68, 2, -24, 0, 8, -16, -36, 44, 0, -44, 12, -38, -24, 0, -8, 10, 68, 8, 0, -59, 0, -4, 38, 0, -6, 46, -25, -14, 0, -32, -3, -30, -32, 0, -6, -14, 40, -72, 0, -12, 26, -52, -58, 0, 2, 14, 40, 20, 0, -26, -16, 46, -66, 0, 32, -50, -50, 0, 0, -4, -36, 26, -84, 0, 94, 42, 8, 26, 0, 10, 12, -84, 5, 0, -16, 18, -30, 20, 0, 0, -116, -18, 15, 0, 12, 64, 22, 18, 0, 4, 28, -84, 52, 0, -36, 10, -34, 64, 0, -16, 46, 58, -18, 0, 44, 16, 0, 136, 0, -128, -124, -4, 14, 0, 4, -80, 1, -48, 0, -26, -38, -42, 48, 0, 4, 88, -38, -72, 0, 0, 84, -12, 20, 0, 14, -22, -52, -14, 0, -6, -70, 25, 84, 0, 46, 62, 10, -17, 0, -6, -16, 42, -132, 0, -6, -64, -14, -14, 0, -10, 48, -80, -1, 0, 24, 2, -82, 40, 0, 10, 40, 0, 64, 0, -4, 84, 40, 14, 0, 66, -20, 66, -162, 0, -74, -5, -8, 120, 0, -22, -64, 20, -6, 0, 4, 0, 18, -44, 0, 68, -96, -42, 16, 0, -44, -6, -156, 8, 0, -16, -41, 128, 2, 0, -35, 60, 46, 28, 0, 20, 38, 24, 82, 0, 60, 34, -46, 70, 0, -82, -70, 2, -24, 0, -55, -70, 4, 0, 0, -10, -94, 86, -22, 0, -38, -52, 12, -70, 0, 30, -54, 34, -24, 0, -6, 14, 52, 4, 0, 28, 12, 6, 184, 0, 50, -22, 72, 22, 0, -144, -38, 6, -16, 0, 32, -62, -102, -6, 0, 10, -12, -92, -2, 0, -146, 40, 60, -12, 0, 88, -24, -2, -12, 0, -56, -24, 56, -64, 0, -6, 1, 70, -28, 0, 64, 92, 10, 16, 0, -10, 42, 24, -28, 0, 30, 14, -10, -98, 0, -60, -52, -60, -76, 0, -14, 100, 58, -6, 0, -12, 6, -54, -10, 0, 24, -26, 14, 154, 0, -26, -66, -38, -24, 0, 10, -12, 20, 38, 0, -36, 24, -20, 96, 0, -1, 38, 52, -16, 0, 62, 38, 116, -28, 0, 74, 68, 38, 14, 0, 2, -114, 10, 14, 0, 0, -28, -36, -44, 0, -32, 142, -5, -168, 0, 4, 64, 28, -22, 0, 24, 14, -40, 28, 0, -56, 22, -12, -12, 0, -4, 20, 16, -56, 0, -30, 26, 86, -54, 0, -12, -67, 34, -28, 0, 2, 12, 64, 8, 0, -10, -4, 54, -8, 0, 0, 64, -16, -97, 0, 56, -52, 108, -26, 0, -4, 2, -12, -64, 0, 108, -24, 2, 114, 0, 0, -72, 92, -2, 0, 78, 38, 64, -30, 0, 86, 32, -38, 20, 0, 20, 30, 4, -6, 0, -28, 22, 28, 90, 0, -6, 22, -16, -182, 0, 52, 20, 130, -4, 0, -98, -20, 14, -106, 0, -14, 122, -12, 48, 0, -6, -16, -18, 70, 0, -16, -82, -34, -40, 0, 0, -284, -10, -17, 0, -34, -16, -110, 6, 0, -80, 25, -60, -90, 0, 8, -42, 1, -10, 0, 34, 44, 4, 22, 0, -52, -40, 76, -106, 0, 20, 17, -16, -88, 0, 58, 22, 146, -22, 0, 78, 4, 10, 36, 0, -152, -24, -32, 140, 0, 16, -78, -66, -2, 0, -8, 26, 114, -8, 0, -24, 0, -14, 56, 0, 56, -56, 12, 48, 0, 60, 20, 40, -20, 0, 168, 60, 4, 12, 0, -19, -92, -36, 16, 0, 140, 26, -32, -14, 0, -34, -116, 82, 24, 0, 9, 66, 14, 2, 0, -6, -106, -80, -6, 0, 138, -14, -28, 78, 0, 28, 94, 146, 26, 0, 2, 30, -112, 168, 0, 60, -44, -24, 2, 0, 28, 86, -97, 20, 0, 146, 0, 32, 50, 0, 66, 18, 14, -40, 0, 12, -202, 56, 20, 0, 8, -3, -50, 128, 0, -8, -76, 12, -20, 0, -48, -10, -40, -38, 0, 54, -34, -20, -122, 0, -12, 24, -16, 66, 0, -8, 16, 156, -40, 0, 58, 24, 28, -60, 0, -28, -2, -70, 116, 0, 66, -4, 0, 10, 0, -56, -26, 8, 96, 0, -62, 52, 12, 76, 0, 28, -94, -36, 6, 0, -48, 4, 96, -20, 0, 52, 228, -34, 14, 0, -3, -30, 44, 32, 0, -36, 54, -14, 54, 0, -34, 0, -40, -80, 0, -6, -8, 8, -14, 0, 84, -36, -4, -8, 0, 143, 89, -6, 90, 0, 10, -50, 0, 92, 0, 8, 8, 36, 94, 0, 78, 54, 94, -110, 0, 6, -4, 0, -24, 0, 90, 22, 88, -80, 0, 126, -116, 46, -22, 0, -16, -58, -82, 10, 0, -34, 130, -34, 48, 0, -20, 38, 17, -32, 0, 74, -38, 70, 27, 0, -28, 18, 32, 2, 0, 72, -12, -40, -30, 0, 6, -30, 16, 18, 0, -80, -74, -12, 106, 0, -88, 124, 56, 72, 0, -8, 138, -36, 55, 0, 148, 6, 12, 46, 0, -14, -12, -2, 4, 0, 6, -32, -32, -12, 0, 60, 4, -114, -64, 0, -28, 62, 54, -72, 0, 12, 56, -12, -6, 0, 42, 24, -14, -62, 0, -44, -30, 64, 8, 0, -100, 34, 138, -6, 0, 18, -72, 50, -134, 0, -84, 4, 48, 42, 0, 22, -24, -44, -48, 0, -12, 24, -46, -36, 0, 74, 42, -16, 0, 0, 2, 92, 12, 22, 0, 148, -24, 48, 130, 0, 16, 4, -24, 39, 0, -6, 48, 22, 76, 0, 98, 40, 8, 62, 0, 86, -120, -3, 22, 0, 36, -146, 32, 44, 0, -128, -18, 116, -98, 0, -156, -74, -44, 132, 0, 4, -2, 20, -30, 0, -24, 4, 80, 10, 0, -10, 80, 10, 4, 0, -36, -90, -16, -22, 0, -186, 34, -80, 40, 0, 62, -24, -6, 8, 0, -14, -8, -2, -44, 0, 40, 8, 192, -106, 0, -50, -41, 0, -28, 0, -46, -18, 38, -2, 0, 138, -20, -52, 24, 0, -21, -68, 0, 92, 0, 18, -52, -156, -3, 0, -118, -14, -80, -74, 0, -62, 34, 2, -156, 0, 28, -140, 80, -16, 0, -12, -34, 20, 220, 0, 82, 190, 10, -4, 0, -8, 56, 32, -52, 0, 40, 26, 24, 8, 0, 74, -38, -30, -32, 0, -10, -40, -44, 2, 0, 64, 32, -72, -90, 0, 40, 78, -4, -32, 0, -6, -28, -6, 56, 0, 38, 4, -84, 226, 0, -8, 100, -8, 0, 0, 8, 52, 118, -44, 0, 4, 6, 76, 12, 0, -130, -110, 67, -6, 0, 50, 48, 14, 68, 0, -206, -96, 196, -58, 0, -6, 72, -44, -208, 0, 24, -6, 71, -34, 0, 36, 16, -12, 8, 0, 22, 6, 106, -34, 0, -22, 100, -96, 20, 0, 12, -6, -24, 0, 0, 48, -36, 76, 16, 0, -114, 90, 40, -14, 0, -72, -12, -148, 78, 0, -12, -92, -18, -136, 0, 26, 52, 2, -84, 0, 0, 34, 66, 80, 0, 76, -32, 8, -124, 0, -6, -92, -28, 18, 0, 16, -12, -72, -180, 0, 3, -50, 14, 92, 0, 28, 20, -40, -52, 0, -46, -60, 56, -62, 0, -194, -124, 4, -40, 0, -38, -64, -82, 2, 0, -70, 26, -20, -92, 0, -46, -30, 16, -46, 0, 0, 14, 26, -4, 0, -20, -84, 16, -58, 0, -60, 20, 52, -46, 0, -9, 28, 84, 12, 0, -64, 110, -78, 12, 0, -6, -16, -23, -90, 0, -50, 48, -40, -16, 0, 2, -3, -36, 100, 0, -82, -118, -4, -2, 0, -22, 28, -234, 92, 0, -4, 38, -14, 136, 0, 50, 120, 7, -61, 0, -34, -16, -6, -24, 0, -82, -58, -166, -102, 0, -88, -116, -8, 12, 0, -78, 0, -14, 88, 0, 14, -4, -14, 218, 0, -24, -56, 38, 30, 0, 8, 128, 18, 8, 0, -74, 20, -162, 20, 0, 0, -112, 58, -31, 0, 48, -18, -32, -40, 0, -38, -12, -38, -64, 0, -160, -140, -20, 78, 0, 52, -84, -26, -48, 0, 14, 2, 22, 12, 0, 26, 148, -34, -144, 0, 16, 126, -8, -50, 0, 64, 32, -22, 10, 0, -156, -38, 26, 14, 0, -10, 14, -28, -1, 0, 70, 32, -86, 110, 0, 70, -35, 40, -12, 0, 6, 214, 52, -26, 0, 14, 24, 10, 100, 0, 48, 20, 82, 60, 0, -14, -24, -54, -14, 0, -70, 86, -52, -76, 0, -4, 92, 10, -70, 0, -8, 98, 20, -6, 0, 12, -7, -84, 84, 0, -64, -58, 0, -76, 0, -34, 100, -36, -66, 0, 82, -24, -22, 4, 0, 42, 102, 16, -56, 0, 12, -28, -186, 0, 0, -22, 106, -50, 98, 0, 48, -10, 76, -20, 0, -78, -6, -114, 52, 0, 28, -26, 44, 90, 0, 35, -70, -6, -158, 0, -10, 14, 184, 60, 0, -24, 16, -84, 6, 0, 0, -120, 4, -186, 0, -34, -216, 120, -38, 0, 186, 10, -184, -108, 0, -16, 16, 70, 118, 0, -116, -116, 24, 6, 0, -34, 8, -70, 8, 0, -92, 112, -14, -80, 0, -12, -86, 76, 140, 0, 60, 2, -122, 48, 0, 4, 148, -14, 32, 0, -62, -68, -122, -16, 0, -70, -56, -82, -126, 0, -8, -40, -166, 10, 0, 16, -76, -96, 3, 0, -100, 20, -28, 0, 0, 78, -32, -10, 228, 0, -22, 88, 10, 26, 0, -82, 26, -10, 42, 0, 76, 12, 8, 4, 0, 2, 106, -6, -76, 0, -8, -68, 40, -16, 0, -62, 28, -3, 4, 0, -6, 42, -12, -28, 0, 104, 0, -26, 248, 0, 58, 148, 20, 10, 0, -42, 26, -4, 42, 0, -44, -10, -90, 138, 0, -116, 24, 0, -114, 0, 24, 64, -20, 62, 0, -24, -64, 16, 6, 0, 124, -28, -24, -86, 0, 66, -176, 20, 4, 0, -8, -98, 24, -80, 0, 96, 72, -56, 24, 0, -120, -124, -56, 72, 0, -72, 7, 112, 142, 0, 48, -78, -20, -18, 0, -41, 118, 64, 28, 0, -20, 56, -52, -58, 0, 92, -86, 46, 8, 0, 38, 6, -52, 14, 0, -122, -12, 52, -98, 0, 20, 32, 74, -62, 0, 30, 0, -42, 84, 0, -148, 34, -146, -34, 0, -86, -42, -88, 18, 0, -31, -96, -168, -26, 0, -4, -12, -168, 284, 0, 4, -16, 40, 172, 0, -16, -32, -148, 14, 0, -84, -58, 18, -84, 0, 18, 128, 2, -100, 0, 64, 8, 8, -24, 0, 124, 22, 26, 16, 0, -48, 128, -104, -148, 0, 4, -86, 62, 72, 0, 86, 44, -32, -28, 0, 66, 144, -30, 57, 0, 52, 42, 42, 48, 0, -6, 2, -144, 38, 0, 208, -44, 36, 4, 0, -70, 80, 32, 84, 0, -40, 10, -8, 142, 0, 80, 284, 16, -6, 0, -8, 0, -19, -30, 0, -86, 76, 30, -52, 0, -78, 84, -42, -68, 0, 0, 156, 198, -8, 0, 36, 4, -348, -100, 0, 28, -172, -14, -124, 0, -22, 46, -46, -26, 0, 0, 24, 38, -164, 0, 92, -6, 84, 80, 0, 4, 8, 17, -50, 0, 4, -130, -48, 50, 0, 6, 86, 76, -116, 0, -22, 144, -40, 44, 0, -110, -106, 28, -78, 0, 14, 128, -6, -69, 0, 14, -16, -4, 166, 0, -36, 40, -72, 16, 0, 6, 46, -104, 22, 0, 68, 84, -132, -2, 0, 24, 24, -108, 24, 0, 50, -76, -8, -50, 0, 16, -226, 52, 36, 0, 114, -44, 54, 10, 0, -28, 4, 44, 4, 0, -12, -36, 92, 38, 0, 42, 24, 102, -24, 0, -114, 12, 8, -92, 0, -10, -16, -14, -68, 0, 104, -8, 50, -144, 0, -136, 0, 59, -248, 0, 0, 42, -17, 4, 0, -208, -38, 110, -72, 0, 18, 78, 6, -84, 0, -46, 82, 52, 25, 0, -62, 14, -60, 24, 0, 150, -48, 32, 52, 0, 3, 46, -28, 30, 0, 42, 32, 40, 48, 0, -76, 18, 6, -134, 0, 14, -114, -70, -40, 0, 76, 72, -36, 72, 0, -4, 152, 12, 41, 0, -26, -150, -24, 52, 0, 0, 58, -20, -42, 0, 80, 70, -2, 26, 0, -14, -120, 24, -40, 0, -78, -20, 36, 26, 0, -64, -96, 26, -92, 0, 16, 60, 110, -46, 0, -150, 66, -130, -78, 0, -6, -224, -32, -86, 0, 50, 48, 270, 50, 0, 60, 0, 122, 32, 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": "345.2.a.j", "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], [1, 0, 0], [0, 1, 0], [-1, 0, 0], [1, 0, 1], [0, 0, 0], [0, -1, 0], [-2, 0, -1], [1, 0, 1], [1, 0, 0], [0, 0, 0], [-1, 1, -1], [-1, 0, -1], [-1, -1, 1], [-1, -3, -1], [0, 0, 0], [-1, 2, -1], [1, -1, 0], [0, 1, 0], [1, -1, -1], [0, 0, 0], [2, 0, 1], [2, -2, 0], [-1, 0, 0], [-1, 0, -1], [0, 0, 0], [-2, 0, 0], [-1, 0, 0], [-6, -2, -2], [-1, -3, 0], [0, 0, 0], [0, 2, -1], [3, -2, -1], [1, -1, 1], [-3, 1, -1], [0, 0, 0], [1, 0, 1], [0, 0, 1], [-4, 0, -2], [1, 1, -1], [0, 0, 0], [-1, 1, 4], [1, 3, 1], [-6, -2, 0], [-4, 0, 0], [0, 0, 0], [0, -1, 0], [3, -3, 1], [1, -2, 1], [1, 2, 3], [0, 0, 0], [-1, 1, 0], [2, 0, -2], [3, -3, 0], [0, -1, 0], [0, 0, 0], [-6, -2, -2], [-1, 1, 1], [-9, -1, -3], [-3, -3, -2], [0, 0, 0], [-1, -1, -1], [5, -1, 1], [-2, 0, -1], [-5, -2, -1], [0, 0, 0], [-2, 2, 0], [0, 6, -1], [0, -2, 0], [1, 0, 0], [0, 0, 0], [-3, 1, 2], [1, 0, 1], [3, -1, 5], [1, 1, 1], [0, 0, 0], [-4, -4, 0], [5, -1, 1], [2, 0, 0], [0, -4, 4], [0, 0, 0], [1, 0, 0], [7, 3, 5], [-3, 1, -2], [6, 2, 2], [0, 0, 0], [-6, -6, -2], [1, 3, 0], [-4, 0, 0], [4, -6, 4], [0, 0, 0], [-1, 1, 1], [-1, 0, -1], [0, -2, 1], [-8, 4, -2], [0, 0, 0], [-3, 2, 1], [-6, 4, -6], [9, 4, 5], [-1, 1, -1], [0, 0, 0]]}