# Stored data for newform 4761.2.a.w, downloaded from the LMFDB on 24 April 2024.
{"label": "4761.2.a.w", "space_label": "4761.2.a", "level": 4761, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835710105, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1145160105237315467, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, -1, 1]], [5, [-4, 2, 1]], [7, [-4, 2, 1]]], "qexp_display": "q+\\beta q^{2}+(-1+\\beta )q^{4}-2\\beta q^{5}+(-2+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19044, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 38.016776402331594, "hecke_ring_index": 1, "level_radical": 69, "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": "0.028", "prec": 17}, "analytic_rank_proved": true, "char_values": [4761, 1, [2117, 1063], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 23], "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": "1.942", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.238", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "61.290", "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], [23, -1]], "trace_display": [1, 0, -2, -2], "traces": [0, 2, 1, 0, -1, -2, 0, -2, 0, 0, -6, -6, 0, 6, 4, 0, -3, 6, 0, 4, -4, 0, 2, 0, 0, 2, 3, 0, 6, 6, 0, 0, -9, 0, 8, -8, 0, -2, 2, 0, 10, -2, 0, 0, 8, 0, 0, 0, 0, -2, 11, 0, -3, -8, 0, -4, -10, 0, 3, -4, 0, -4, -15, 0, 4, -6, 0, 10, 2, 0, -4, -20, 0, 22, -6, 0, -2, 16, 0, 4, 18, 0, -11, -22, 0, -16, 0, 0, -10, -12, 0, -6, 0, 0, -5, -4, 0, -22, -11, 0, 9, 0, 0, -14, 0, 0, -14, 0, 0, 0, 8, 0, -12, 22, 0, 0, -3, 0, 8, 4, 0, 6, -22, 0, -15, -12, 0, -28, 25, 0, -18, -24, 0, -4, 10, 0, -10, -8, 0, -8, 4, 0, -5, -18, 0, -6, 21, 0, -4, 12, 0, 4, 0, 0, -12, 30, 0, -4, -18, 0, 4, 0, 0, -16, -9, 0, -16, -12, 0, -8, -28, 0, 0, -28, 0, 18, -6, 0, 4, 12, 0, -2, 12, 0, 0, 12, 0, -8, -5, 0, -12, -30, 0, 2, 4, 0, -9, -6, 0, 38, -20, 0, 10, -6, 0, 22, -32, 0, -9, -12, 0, -20, -6, 0, -30, 0, 0, -30, 0, 0, 12, 18, 0, 8, 14, 0, 16, -2, 0, 24, 0, 0, 0, 22, 0, 10, 12, 0, 12, -32, 0, 6, -27, 0, -18, 22, 0, 12, 30, 0, 4, 18, 0, 0, -29, 0, 7, 6, 0, -8, -12, 0, 3, -12, 0, 28, 8, 0, 0, -2, 0, 16, -24, 0, 36, 14, 0, 22, 11, 0, 0, -22, 0, -42, 15, 0, 6, -18, 0, -6, -18, 0, -1, -12, 0, -16, 10, 0, -34, 0, 0, 0, -3, 0, -6, 44, 0, 28, -28, 0, 30, -4, 0, -4, -32, 0, -22, -24, 0, -18, -14, 0, 0, 12, 0, 6, -13, 0, 20, -10, 0, -8, 6, 0, -16, -20, 0, -20, -4, 0, -12, -30, 0, -4, 0, 0, 6, -16, 0, 22, 4, 0, 32, 26, 0, 10, 16, 0, 21, -4, 0, -30, 34, 0, 18, -42, 0, -14, 0, 0, 16, -12, 0, -2, -4, 0, 10, 18, 0, -4, -8, 0, 10, 32, 0, 24, -19, 0, 26, 60, 0, 0, 20, 0, -13, 36, 0, -22, 34, 0, -33, -6, 0, 0, 10, 0, 12, -4, 0, -2, 26, 0, -18, 24, 0, 32, -27, 0, 4, -36, 0, 34, 20, 0, 20, 26, 0, -36, -30, 0, 0, -44, 0, -58, 0, 0, 0, 0, 0, -24, -20, 0, 24, -36, 0, -8, 4, 0, 6, 12, 0, -14, -6, 0, 24, -24, 0, -30, 12, 0, 0, -6, 0, -40, -9, 0, 21, -44, 0, 0, 10, 0, -20, 0, 0, 4, 8, 0, -21, 14, 0, -6, -42, 0, -33, -8, 0, -16, 40, 0, 26, -48, 0, 18, 6, 0, 45, 30, 0, 52, 16, 0, 24, -36, 0, -20, 0, 0, -1, -6, 0, -2, -24, 0, -7, 64, 0, -10, -4, 0, 30, 36, 0, -42, 27, 0, -26, -30, 0, 0, 44, 0, 12, -6, 0, 60, -10, 0, -21, -14, 0, -42, 8, 0, -22, 0, 0, 8, 44, 0, -18, 12, 0, -44, 1, 0, 19, 12, 0, 0, 12, 0, -16, -48, 0, -32, -6, 0, -10, -22, 0, 42, 24, 0, -4, 0, 0, 10, 27, 0, -12, 12, 0, 4, -20, 0, -16, 36, 0, 0, -8, 0, 18, -12, 0, -24, -46, 0, 0, -32, 0, 58, 0, 0, -7, 54, 0, 44, -18, 0, 52, 0, 0, 2, 24, 0, 40, -24, 0, -12, 0, 0, 23, 32, 0, -18, 48, 0, -28, -16, 0, 20, 40, 0, 18, 58, 0, -6, 6, 0, -30, 28, 0, 10, 0, 0, 16, 0, 0, 32, 33, 0, 3, 14, 0, -6, 33, 0, 0, 10, 0, 28, 31, 0, 10, -16, 0, 0, -4, 0, -40, -28, 0, 6, 20, 0, 4, 36, 0, 52, 40, 0, 30, -4, 0, -72, -32, 0, 0, -24, 0, 32, 34, 0, -48, -22, 0, -26, -19, 0, -14, -30, 0, -4, -2, 0, 63, 20, 0, 26, 50, 0, -20, 0, 0, -12, 9, 0, 38, 24, 0, -36, -15, 0, 36, 6, 0, 42, -30, 0, -86, 0, 0, 58, -32, 0, 0, -20, 0, 76, 4, 0, -16, 42, 0, 68, 14, 0, 4, -60, 0, 44, 15, 0, 9, 6, 0, 46, 48, 0, 20, -30, 0, 0, 40, 0, 36, -12, 0, 6, -8, 0, -21, -20, 0, -60, -30, 0, 40, -4, 0, 70, 0, 0, 33, 64, 0, -76, -7, 0, 28, -12, 0, -12, 19, 0, -4, -24, 0, -10, 1, 0, 22, -46, 0, 0, -45, 0, -20, -60, 0, -80, 18, 0, 8, 26, 0, 0, -51, 0, 4, 60, 0, -12, 50, 0, -8, 12, 0, 0, 76, 0, 12, -26, 0, 32, 16, 0, -48, -42, 0, -40, 32, 0, 40, 8, 0, -66, 42, 0, 48, 0, 0, -48, -8, 0, 60, 6, 0, -20, 0, 0, -32, -24, 0, -12, -54, 0, 30, -52, 0, 30, 0, 0, 0, 32, 0, -64, 3, 0, -24, 66, 0, 8, 6, 0, 27, 12, 0, -2, 16, 0, -4, 0, 0, -42, -20, 0, -14, 0, 0, -44, 18, 0, -10, -68, 0, 0, 26, 0, -12, 0, 0, 56, -60, 0, -12, 54, 0, -42, 0, 0, -13, -60, 0, -22, -20, 0, -27, 66, 0, -4, -1, 0, -42, 8, 0, -46, 20, 0, 0, -18, 0, 0, -24, 0, 0, 44, 0, 66, 22, 0, -20, 32, 0, -20, 11, 0, -48, 88, 0, 28, -18, 0, -48, 38, 0, -12, 60, 0, 36, 24, 0, 38, 7, 0, 66, -78, 0, 56, 4, 0, -59, -72, 0, 26, 24, 0, -6, 0, 0, 48, -15, 0, -40, -68, 0, -20, 41, 0, -20, 48, 0, 8, 6, 0, 2, -16, 0, 0, -20, 0, 0, 50, 0, -24, 30, 0, -73, -10, 0, 2, 44, 0, -11, -42, 0, 12, -13, 0, 92, 46, 0, 0, 10, 0, 4, -52, 0, 92, 54, 0, -12, -92, 0, -8, 24, 0, -30, -102, 0, 48, -14, 0, -60, -40, 0, -14, 0, 0, 16, -6, 0, 36, -20, 0, -33, 96, 0, -34, 60, 0, -30, -6, 0, 0, -19, 0, 18, -66, 0, 0, 9, 0, -8, 0, 0, 48, 22, 0, 0, -32, 0, 62, 79, 0, -80, 12, 0, -56, -32, 0, 6, 18, 0, -48, 8, 0, -21, 18, 0, 20, -30, 0, 36, -8, 0, 56, 0, 0, 36, -8, 0, 80, 6, 0, -4, 0, 0, -6, -76, 0, 36, -8, 0, -48, 15, 0, 14, 40, 0, 6, 36, 0, -30, -24, 0, 30, 14, 0, 0, 0, 0, 90, -35, 0, 33, -36, 0, -8, 30, 0, -44, -4, 0, -42, 12, 0, -63, -8, 0, -50, -4, 0, 3, -20, 0, -60, -30, 0, 8, -12, 0, 8, 4, 0, -26, 118, 0, -6, -32, 0, 80, 36, 0, 42, 0, 0, 24, 0, 0, -26, -11, 0, 0, 84, 0, -50, 10, 0, 42, 68, 0, -20, 12, 0, 8, 36, 0, 0, 8, 0, -15, -72, 0, -42, 16, 0, -4, -72, 0, -8, 36, 0, -22, -12, 0, 38, 24, 0, -30, 86, 0, -56, 27, 0, -24, 0, 0, 6, -39, 0, 52, 18, 0, -48, 60, 0, -28, -36, 0, -66, 60, 0, 54, 0, 0, 72, 42, 0, 114, 60, 0, 20, -33, 0, 24, 6, 0, 6, -52, 0, 84, -8, 0, 14, -50, 0, 0, 6, 0, -84, 4, 0, 15, 8, 0, 34, -24, 0, 27, -90, 0, -4, 10, 0, -63, -8, 0, 8, 42, 0, -1, 0, 0, 52, 10, 0, 40, -24, 0, -40, -6, 0, 39, -48, 0, -36, 48, 0, -8, -12, 0, 0, 0, 0, 20, 80, 0, -42, -20, 0, 36, -28, 0, 42, 3, 0, 40, -40, 0, -42, 0, 0, 18, -16, 0, 0, -44, 0, 84, -18, 0, 0, 60, 0, 53, 18, 0, -62, -56, 0, -28, 30, 0, 56, 0, 0, -42, -14, 0, 10, 36, 0, -40, -2, 0, 44, -32, 0, -6, 0, 0, -8, -48, 0, -41, 54, 0, 18, 10, 0, -40, 0, 0, 32, -12, 0, -70, 18, 0, -76, 37, 0, 0, 12, 0, 0, -52, 0, 40, -6, 0, -38, -12, 0, 0, 52, 0, 18, 24, 0, -30, -30, 0, 8, 42, 0, 32, 12, 0, 102, -28, 0, 15, -54, 0, 20, -70, 0, 33, 48, 0, 4, 6, 0, -36, 30, 0, -122, -44, 0, 0, 32, 0, 32, 24, 0, -18, 66, 0, 30, 0, 0, 0, 36, 0, 80, 63, 0, -20, -4, 0, 80, -4, 0, -24, 66, 0, 44, 44, 0, 16, -26, 0, 0, 0, 0, 0, 28, 0, 8, 72, 0, -5, 0, 0, 104, -9, 0, -2, 52, 0, -16, 78, 0, 52, 22, 0, 60, 36, 0, 55, 8, 0, -84, 0, 0, -50, 54, 0, 0, 4, 0, 24, -48, 0, -24, -42, 0, -32, 0, 0, -64, 40, 0, -20, 12, 0, 86, -45, 0, -12, 4, 0, -46, -20, 0, -22, -88, 0, -8, -30, 0, 0, -96, 0, 4, -1, 0, 72, 40, 0, 18, -68, 0, 20, -44, 0, -36, -8, 0, 44, 38, 0, -36, -66, 0, 41, 52, 0, 0, -30, 0, 38, -12, 0, 26, -20, 0, 24, -74, 0, -24, 28, 0, 2, -64, 0, 30, 0, 0, -45, 12, 0, -32, -30, 0, -70, -28, 0, -38, -75, 0, -30, -36, 0, 6, 12, 0, 58, -2, 0, 0, 0, 0, -49, 74, 0, -116, -30, 0, 10, 60, 0, 0, 69, 0, 96, -36, 0, -84, -32, 0, 16, -62, 0, 78, -90, 0, 44, -22, 0, -28, 75, 0, -48, -24, 0, -44, 56, 0, -20, 22, 0, 30, -12, 0, 24, 0, 0, -40, -20, 0, -2, -40, 0, -96, -60, 0, 24, -24, 0, -54, 12, 0, 26, 68, 0, -96, 22, 0, 0, -72, 0, -60, -54, 0, 28, 2, 0, -12, 90, 0, 13, 64, 0, 20, 5, 0, 0, 0, 0, 44, 12, 0, -87, -48, 0, -12, 44, 0, 4, 90, 0, 96, -30, 0, 44, 10, 0, 98, 30, 0, 0, 38, 0, -16, 0, 0, -24, -92, 0, -40, -22, 0, 27, 12, 0, -34, 28, 0, 8, 0, 0, -126, 4, 0, -30, -12, 0, 0, 63, 0, 71, 0, 0, 50, -56, 0, 24, -24, 0, -108, 0, 0, -10, -84, 0, -52, -66, 0, 38, 38, 0, -76, -26, 0, -45, -26, 0, 34, -72, 0, 32, 30, 0, -24, -48, 0, -64, 4, 0, 22, -90, 0, -50, 0, 0, -60, 12, 0, -70, 0, 0, 62, -12, 0, -30, -60, 0, 94, 0, 0, -48, 64, 0, 16, 24, 0, 0, -28, 0, -44, -7, 0, -15, -6, 0, -86, -26, 0, 20, 0, 0, 32, 12, 0, 53, 24, 0, 16, -22, 0, -20, -28, 0, -4, 2, 0, 24, 36, 0, 68, 2, 0, 20, 12, 0, -28, -10, 0, -44, -38, 0, -18, 0, 0, 28, -40, 0, 120, 0, 0, 47, -96, 0, -16, 63, 0, 18, -36, 0, 124, -36, 0, 6, 138, 0, 0, 40, 0, 10, 108, 0, -72, -62, 0, -16, 0, 0, 76, 14, 0, -12, -64, 0, 20, 90, 0, 34, -16, 0, 46, -81, 0, 81, 36, 0, -42, 44, 0, 2, 30, 0, -80, -16, 0, 23, -96, 0, 10, -2, 0, -74, 0, 0, -28, -32, 0, -30, 28, 0, 12, -11, 0, -26, 12, 0, -6, 38, 0, 6, -54, 0, -76, 0, 0, 0, 92, 0, 72, 24, 0, -30, -38, 0, -56, -70, 0, -144, 76, 0, -118, -70, 0, -11, -84, 0, -94, -12, 0, -36, -48, 0, -44, 24, 0, -30, 42, 0, -68, 38, 0, -28, 90, 0, -46, 30, 0, 0, 0, 0, 66, 0, 0, 5, -72, 0, -28, -12, 0, 87, 0, 0, -16, -67, 0, -30, 46, 0, -12, 81, 0, 46, 102, 0, 0, -25, 0, -41, -8, 0, 28, -54, 0, 20, -42, 0, -60, 28, 0, 88, 72, 0, 16, 0, 0, 20, 84, 0, 0, 0, 0, -96, -42, 0, -30, 51, 0, 12, 46, 0, 92, -48, 0, 24, 72, 0, 10, 16, 0, 66, 0, 0, 96, -9, 0, -36, -60, 0, 140, 99, 0, 40, -64, 0, 0, -30, 0, 0, 44, 0, -56, 8, 0, 0, 66, 0, -48, -60, 0, 117, -46, 0, -16, -42, 0, -24, -78, 0, -92, -27, 0, -52, 16, 0, 94, 28, 0, 0, 110, 0, -4, -40, 0, -18, 44, 0, -8, 0, 0, 40, -54, 0, 64, 32, 0, -48, -114, 0, -60, 0, 0, 51, 108, 0, -2, 0, 0, 60, -36, 0, 48, -21, 0, 80, 54, 0, -50, 0, 0, -116, -16, 0, 0, 81, 0, 71, -84, 0, 104, -108, 0, -54, -6, 0, -102, -8, 0, 50, -30, 0, 72, -6, 0, -66, -78, 0, -84, -84, 0, 52, -46, 0, -54, 20, 0, 24, 84, 0, -18, -20, 0, -33, 28, 0, -42, 24, 0, -24, 0, 0, 48, 98, 0, 0, 126, 0, 16, -16, 0, 16, 24, 0, 28, 70, 0, 10, -84, 0, 80, 44, 0, 0, -36, 0, 44, -3, 0, -44, 8, 0, -60, -30, 0, 36, 24, 0, 66, -44, 0, 95, -30, 0, 54, 36, 0, 60, 0, 0, -30, -32, 0, -6, 120, 0, 12, -18, 0, -72, 12, 0, 2, 30, 0, -10, 8, 0, 12, 0, 0, -120, 20, 0, 26, 15, 0, -45, -96, 0, -84, -60, 0, 12, 40, 0, 78, -44, 0, 54, 120, 0, 0, -56, 0, -52, 36, 0, 56, -86, 0, 8, -126, 0, 84, -89, 0, -24, 36, 0, -18, -70, 0, 20, -40, 0, 56, -33, 0, -15, -68, 0, -6, 60, 0, -30, -110, 0, 80, 0, 0, -46, 6, 0, 0, -16, 0, -14, 0, 0, -104, -14, 0, 54, -24, 0, -2, -33, 0, -8, -44, 0, -64, 102, 0, -52, 120, 0, 46, 106, 0, 0, -132, 0, 96, 56, 0, 0, 6, 0, -42, 82, 0, -69, 36, 0, -66, 0, 0, 72, 54, 0, -56, -60, 0, 9, 34, 0, -36, -12, 0, -56, -28, 0, 38, 80, 0, -32, -64, 0, -24, 50, 0, 88, -14, 0, -82, 0, 0, -60, 86, 0, -82, -15, 0, -91, -120, 0, 120, -41, 0, 14, -24, 0, 118, -20, 0, -76, 22, 0, 0, 56, 0, -92, -48, 0, -56, 2, 0, -36, 74, 0, -2, -11, 0, 36, -130, 0, -20, -90, 0, 128, -90, 0, 80, 12, 0, -50, -48, 0, 20, -56, 0, 0, -82, 0, 56, 18, 0, -21, 84, 0, 2, -100, 0, 24, 0, 0, 6, -84, 0, 96, 84, 0, -4, -12, 0, 12, -72, 0, -108, 12, 0, 40, 40, 0, 30, -38, 0, 0, 80, 0, -44, -4, 0, -60, 0, 0, -24, 56, 0, 45, 96, 0, 146, 20, 0, -27, 2, 0, 44, -30, 0, -17, -88, 0, 78, -102, 0, -6, -18, 0, -46, 56, 0, -9, 2, 0, -36, 2, 0, -60, 30, 0, -114, 0, 0, 133, -8, 0, -36, 3, 0, -20, -20, 0, 114, 15, 0, 24, -122, 0, -16, -73, 0, -56, 48, 0, 0, -60, 0, -35, -16, 0, 24, 48, 0, 39, 16, 0, 32, -77, 0, -14, -48, 0, 14, -16, 0, 48, -26, 0, 0, -24, 0, 30, 10, 0, 86, 76, 0, -10, 96, 0, 120, 30, 0, -52, -18, 0, -16, -80, 0, -34, 0, 0, 0, -70, 0, -74, -108, 0, 104, -123, 0, 94, -30, 0, 26, 8, 0, 44, -108, 0, 66, 0, 0, 0, -72, 0, -16, 48, 0, -60, -120, 0, -4, -96, 0, 60, 8, 0, 98, 64, 0, -64, -14, 0, 34, 46, 0, -3, -108, 0, -36, -60, 0, -10, -48, 0, -42, 4, 0, 12, -18, 0, -24, -18, 0, -48, -162, 0, 26, 0, 0, -96, -36, 0, -4, 52, 0, -9, -40, 0, 0, -15, 0, -90, -110, 0, -38, 57, 0, -66, -158, 0, 0, -21, 0, 16, 16, 0, -60, 60, 0, 25, -30, 0, 42, -32, 0, 0, -78, 0, -12, -18, 0, -12, -60, 0, -24, 35, 0, 4, -16, 0, -126, -18, 0, -46, -58, 0, -20, 42, 0, 80, 134, 0, 82, 16, 0, -90, 0, 0, -72, 76, 0, -22, 86, 0, 40, 60, 0, 2, 0, 0, -56, -6, 0, -12, 114, 0, -106, -10, 0, 0, 56, 0, -34, 76, 0, -8, -66, 0, 8, 24, 0, -101, 128, 0, -90, -108, 0, -100, 42, 0, -38, -20, 0, 96, 24, 0, 94, 0, 0, -78, 2, 0, -56, -90, 0, -33, -6, 0, -28, -84, 0, 64, 24, 0, 20, 0, 0, 51, -72, 0, 16, 39, 0, 36, 34, 0, -98, -63, 0, 50, 40, 0, 8, 44, 0, -80, -24, 0, 0, 8, 0, 41, 8, 0, 0, -54, 0, 8, 70, 0, -20, 0, 0, -42, -36, 0, -4, 30, 0, -102, -36, 0, 24, 27, 0, 104, 68, 0, 88, 2, 0, -36, 186, 0, 0, 42, 0, 15, -24, 0, -160, -36, 0, 130, 0, 0, 36, 0, 0, -24, -64, 0, 0, 56, 0, -34, -24, 0, -6, 50, 0, 48, 0, 0, -44, 150, 0, 0, 60, 0, -4, 20, 0, 8, -6, 0, 26, -40, 0, -13, -6, 0, -34, -48, 0, 18, -68, 0, 52, 60, 0, 20, 8, 0, -52, -66, 0, -32, 44, 0, 72, 112, 0, -24, -48, 0, -8, -30, 0, 42, -42, 0, 84, 0, 0, 12, -62, 0, -48, 60, 0, 19, -132, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "23.2.a.a", "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], [0, 0], [-1, 1], [0, -2], [0, 0], [-2, 2], [1, -2], [0, 0], [-2, -2], [-4, 2], [0, 0], [3, 0], [2, 0], [0, 0], [0, -3], [2, 2], [0, 0], [2, 0], [-2, 0], [0, 0], [2, -2], [0, 0], [0, 0], [-1, 4], [0, 3], [0, 0], [4, -2], [3, 0], [0, 0], [3, -6], [-5, 1], [0, 0], [2, 4], [-4, 0], [0, 0], [0, -2], [0, 2], [0, 0], [4, 2], [1, -4], [0, 0], [0, 0], [6, -4], [0, 0], [0, 0], [1, -2], [0, 0], [1, -4], [4, 3], [0, 0], [-3, 3], [-2, -4], [0, 0], [-4, 4], [-6, 2], [0, 0], [0, 3], [-4, 4], [0, 0], [2, -8], [-6, -3], [0, 0], [1, 2], [0, -6], [0, 0], [4, 2], [0, 2], [0, 0], [0, -4], [-11, 2], [0, 0], [9, 4], [-2, -2], [0, 0], [-2, 2], [12, -8], [0, 0], [6, -8], [6, 6], [0, 0], [-4, -3], [-10, -2], [0, 0], [-4, -8], [0, 0], [0, 0], [-8, 6], [-8, 4], [0, 0], [-6, 6], [0, 0], [0, 0], [-2, -1], [0, -4], [0, 0], [-14, 6], [-4, -3], [0, 0], [5, -1]]}