# Stored data for newform 4761.2.a.v, downloaded from the LMFDB on 14 July 2025.
{"Nk2": 19044, "analytic_conductor": 38.016776402331594, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [23, -1]], "atkin_lehner_string": "--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [4761, 1, [2117, 1063], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 10, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-5, 0, 1]], [5, [-4, 2, 1]], [7, [-4, 2, 1]]], "hecke_orbit": 22, "hecke_orbit_code": 94575592208339609, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "4761.2.a.v", "level": 4761, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3, 23], "level_radical": 69, "minimal_twist": "69.2.a.b", "nf_label": "2.2.5.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta q^{2}+3q^{4}+(-1-\\beta )q^{5}+(-1+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4761.2.a", "trace_display": [0, 0, -2, -2], "trace_hash": 2041646944445178959, "trace_moments": [{"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "1.895", "prec": 17}, {"__RealLiteral__": 0, "data": "0.130", "prec": 17}, {"__RealLiteral__": 0, "data": "9.213", "prec": 17}, {"__RealLiteral__": 0, "data": "1.379", "prec": 17}, {"__RealLiteral__": 0, "data": "63.155", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.021", "prec": 17}, "traces": [0, 2, 0, 0, 6, -2, 0, -2, 0, 0, 10, 8, 0, 0, -10, 0, -2, -10, 0, -10, -6, 0, 0, 0, 0, 2, -20, 0, -6, 0, 0, -4, 0, 0, 10, -8, 0, 0, -10, 0, 10, 4, 0, -2, 24, 0, 0, 8, 0, -2, -20, 0, 0, -6, 0, -8, -10, 0, -20, -8, 0, 0, -20, 0, -26, -20, 0, -6, -30, 0, 0, 16, 0, -4, -20, 0, -30, -8, 0, -6, 2, 0, 40, 8, 0, 20, 30, 0, 0, 2, 0, 20, 0, 0, 0, 0, 0, -8, 20, 0, 6, -4, 0, 18, -20, 0, -10, 16, 0, 12, 40, 0, 2, 10, 0, 0, 0, 0, 40, 0, 0, 10, -20, 0, -12, -12, 0, 12, 0, 0, 20, -16, 0, 20, 10, 0, 10, 2, 0, 0, -24, 0, 0, 0, 0, -20, 40, 0, 0, -10, 0, -32, -10, 0, -40, -16, 0, 16, -30, 0, -30, 0, 0, -12, 12, 0, 0, -8, 0, 14, -60, 0, -6, 0, 0, 18, -8, 0, -10, -24, 0, -12, 20, 0, 0, -20, 0, -40, 24, 0, -40, 12, 0, 8, -20, 0, -6, -8, 0, -6, -20, 0, 40, 20, 0, 36, 10, 0, 0, -40, 0, 36, -18, 0, 40, 32, 0, 24, 40, 0, -24, -20, 0, -16, 30, 0, -50, -36, 0, 12, 0, 0, -20, 28, 0, -8, -24, 0, 40, 8, 0, -48, 0, 0, 0, 22, 0, 20, -20, 0, -20, -12, 0, 0, -20, 0, -18, 44, 0, 20, -60, 0, -40, 4, 0, -4, 60, 0, -18, -8, 0, -44, 10, 0, -10, 8, 0, -4, -40, 0, 0, 18, 0, 2, 48, 0, -80, -44, 0, 26, 20, 0, -12, 2, 0, 48, -20, 0, -30, 0, 0, -28, 0, 0, 10, -20, 0, -4, -24, 0, 0, -32, 0, -28, -20, 0, -18, -32, 0, 0, 26, 0, 0, 40, 0, 40, 60, 0, 40, -8, 0, 20, 24, 0, -40, 16, 0, -16, 0, 0, 60, -16, 0, -4, 30, 0, -20, -16, 0, -56, 10, 0, 0, 8, 0, -16, 6, 0, -40, 4, 0, 22, 80, 0, 60, 44, 0, -38, 0, 0, 20, 16, 0, -32, 40, 0, 0, 40, 0, -2, 0, 0, -20, 60, 0, -32, 60, 0, -24, 10, 0, 0, 20, 0, -60, -24, 0, -4, -30, 0, -2, -18, 0, 40, -12, 0, 20, 0, 0, 8, -20, 0, 54, -32, 0, -8, 60, 0, -40, -8, 0, 44, -20, 0, -10, -30, 0, 20, 48, 0, -40, 16, 0, -20, 40, 0, 36, 0, 0, 16, 40, 0, 100, 16, 0, -12, -80, 0, 26, -12, 0, 16, 30, 0, 20, 0, 0, -8, -40, 0, 0, -16, 0, -8, 0, 0, 0, -4, 0, -4, 40, 0, 40, -8, 0, 10, 0, 0, -40, -32, 0, 40, 20, 0, 30, -12, 0, 48, -20, 0, -30, -80, 0, -20, 100, 0, 4, -16, 0, 20, -36, 0, -20, -56, 0, 44, 0, 0, 36, 24, 0, -36, 0, 0, 0, -8, 0, 32, 20, 0, 20, -62, 0, 18, -48, 0, 20, 0, 0, 0, -20, 0, 60, -80, 0, 24, 10, 0, 20, -8, 0, -40, 20, 0, -30, 28, 0, 36, 6, 0, -80, 20, 0, 36, 80, 0, 0, -62, 0, -60, 8, 0, 70, 12, 0, -60, -30, 0, 0, -26, 0, -46, 0, 0, -60, 0, 0, 24, -100, 0, -60, -8, 0, -24, 40, 0, 30, -16, 0, 40, -80, 0, 0, -68, 0, 40, -30, 0, 0, 24, 0, -40, -20, 0, -96, -10, 0, 24, 30, 0, 20, 0, 0, 72, 20, 0, -40, -54, 0, -22, -48, 0, 40, 8, 0, -18, 40, 0, 48, -20, 0, 10, -30, 0, 60, -32, 0, -40, -80, 0, -70, 22, 0, -18, 0, 0, 0, -24, 0, -32, -20, 0, -36, 28, 0, -24, -4, 0, -40, 28, 0, 32, 60, 0, 0, 40, 0, 0, -24, 0, -40, 0, 0, 32, 100, 0, 42, -10, 0, 28, -60, 0, -80, 40, 0, -12, 60, 0, 2, 20, 0, -36, 0, 0, 80, -40, 0, 20, 20, 0, 54, 46, 0, 20, -104, 0, 60, -36, 0, 12, 80, 0, -10, 0, 0, -80, -72, 0, 20, -8, 0, -28, 100, 0, -36, 40, 0, -34, 20, 0, -60, 40, 0, -44, -30, 0, 0, -24, 0, 0, -60, 0, 40, -4, 0, -20, -20, 0, -120, -56, 0, -42, -8, 0, 0, 32, 0, -44, -130, 0, -40, -40, 0, -52, 36, 0, -20, -80, 0, 20, 0, 0, 24, 86, 0, 36, -20, 0, 70, -60, 0, 64, 0, 0, 2, -36, 0, 14, -24, 0, 0, 40, 0, 40, 0, 0, -18, -6, 0, -40, 60, 0, 130, -16, 0, 0, 40, 0, 40, 24, 0, -20, 60, 0, -80, 72, 0, -20, 60, 0, 108, -60, 0, -60, 10, 0, 0, 44, 0, -24, 40, 0, 0, 30, 0, -32, -120, 0, 80, -52, 0, -18, 40, 0, 108, -14, 0, -10, 6, 0, 110, 0, 0, 44, 20, 0, 40, 68, 0, -32, 96, 0, 0, 8, 0, -20, -80, 0, 72, -24, 0, -20, 40, 0, 0, 32, 0, 84, -80, 0, 8, -14, 0, 12, -60, 0, 120, -80, 0, 8, 20, 0, -48, -40, 0, -16, 70, 0, -40, 40, 0, 20, 160, 0, -50, 92, 0, -38, -108, 0, 80, 8, 0, 32, -20, 0, 36, 56, 0, -30, 0, 0, 60, 0, 0, 40, -40, 0, 60, 4, 0, -10, 84, 0, 100, 80, 0, -28, 20, 0, -24, -18, 0, 0, 8, 0, 120, 56, 0, -80, 90, 0, 40, -34, 0, -32, 24, 0, -80, 8, 0, -14, 0, 0, -144, 52, 0, -60, 0, 0, -20, -28, 0, 40, 0, 0, 0, -6, 0, 8, 66, 0, 0, -8, 0, -52, 100, 0, 60, 0, 0, -12, 60, 0, -80, -24, 0, 40, -100, 0, -20, 80, 0, 80, -36, 0, 40, 40, 0, -56, -60, 0, 0, -28, 0, 0, -20, 0, 20, 20, 0, 20, -20, 0, 86, -76, 0, 60, 132, 0, 80, 92, 0, 40, 0, 0, 60, -20, 0, 4, 20, 0, -10, 40, 0, 0, -110, 0, -40, 22, 0, -72, 12, 0, 80, -56, 0, 32, 0, 0, -12, 20, 0, 90, 60, 0, -40, -32, 0, -48, 40, 0, 6, 40, 0, -62, -24, 0, 80, 0, 0, 0, 20, 0, -132, 16, 0, -20, 130, 0, 20, -76, 0, 44, -20, 0, -10, 0, 0, 4, 24, 0, 100, -24, 0, 120, 60, 0, -12, -30, 0, -16, -40, 0, -50, -64, 0, -100, 20, 0, 0, 0, 0, -26, 54, 0, -60, 0, 0, 28, 100, 0, 6, 72, 0, 56, -16, 0, 10, 40, 0, -48, -30, 0, -80, -52, 0, 40, -132, 0, 0, -64, 0, 52, -20, 0, 78, 20, 0, 20, 20, 0, -40, 56, 0, -28, -40, 0, 4, 48, 0, -58, 6, 0, 40, 8, 0, 64, 120, 0, 144, -4, 0, -14, 60, 0, 0, -8, 0, -80, -40, 0, -30, -58, 0, -48, 0, 0, -40, 48, 0, -4, -100, 0, -84, 68, 0, -80, 0, 0, 50, 20, 0, 44, -120, 0, 130, -2, 0, 0, -60, 0, -80, 8, 0, -42, 20, 0, -12, -22, 0, -28, 8, 0, 30, 80, 0, -4, 90, 0, 0, 60, 0, 40, -96, 0, 0, -60, 0, 32, 60, 0, -84, 64, 0, -8, -20, 0, 100, 16, 0, 40, 50, 0, 6, 0, 0, -68, -96, 0, 80, -88, 0, 20, 20, 0, 0, -16, 0, -18, 18, 0, 170, -8, 0, -44, -130, 0, 0, -60, 0, -20, 120, 0, 0, 0, 0, 68, 160, 0, 120, -4, 0, 86, 60, 0, 40, 56, 0, 0, -40, 0, -120, -80, 0, 16, -24, 0, 100, -32, 0, 68, -20, 0, 60, 14, 0, 56, -8, 0, 40, -48, 0, -56, 0, 0, -40, 8, 0, -20, 48, 0, -80, 0, 0, 28, -60, 0, -48, -80, 0, -68, 0, 0, -190, 64, 0, 0, 60, 0, -20, 88, 0, 0, -48, 0, 0, 96, 0, -34, 20, 0, -12, 92, 0, -48, -90, 0, 60, 68, 0, -48, 100, 0, -20, 84, 0, -20, -48, 0, 40, -80, 0, 36, -180, 0, -168, 48, 0, 38, 10, 0, 10, 0, 0, 52, 100, 0, 0, 112, 0, -40, 24, 0, -20, -32, 0, -80, 120, 0, -48, -40, 0, 26, -2, 0, 0, 56, 0, 88, 80, 0, -40, -6, 0, -16, 12, 0, 0, 32, 0, -64, -100, 0, 66, -126, 0, -58, 80, 0, -20, -48, 0, 8, 70, 0, -20, -16, 0, -30, 132, 0, -160, 80, 0, 28, 0, 0, -114, 100, 0, -66, 0, 0, 40, -88, 0, -16, -120, 0, 20, 80, 0, 42, 48, 0, -100, -104, 0, -32, -20, 0, -96, 34, 0, 0, 40, 0, -120, -80, 0, 60, -130, 0, 0, 8, 0, 8, 120, 0, -160, -48, 0, -20, -80, 0, -6, -80, 0, -36, 0, 0, -100, -92, 0, 40, -100, 0, -20, 0, 0, -4, 180, 0, 80, 24, 0, 20, -120, 0, -96, 0, 0, -44, 60, 0, -30, -80, 0, -40, 20, 0, 8, 60, 0, 72, 30, 0, -220, 72, 0, 96, 0, 0, 0, 68, 0, -60, -60, 0, 100, -8, 0, 0, 30, 0, -60, -40, 0, -14, -72, 0, 0, 24, 0, 92, 0, 0, -12, 16, 0, -60, -30, 0, 70, -80, 0, -84, 40, 0, -26, -42, 0, 28, -54, 0, 160, 20, 0, 104, 0, 0, 120, -20, 0, -40, 4, 0, 140, 0, 0, -4, -60, 0, 20, 40, 0, 18, 0, 0, -120, -28, 0, 0, -140, 0, 24, -88, 0, -40, -20, 0, 80, 32, 0, -32, 20, 0, -18, 20, 0, 40, -96, 0, -60, 40, 0, 88, 100, 0, -24, -128, 0, -22, 140, 0, -110, 64, 0, 44, 0, 0, -40, 32, 0, -26, -24, 0, 60, 0, 0, 86, 0, 0, 132, 116, 0, 28, -20, 0, 70, 0, 0, -40, -50, 0, 30, 12, 0, 26, -90, 0, 0, 80, 0, -64, 0, 0, 60, -86, 0, -80, -16, 0, 40, 64, 0, 60, 40, 0, -40, 30, 0, 82, 48, 0, 0, 64, 0, -120, 20, 0, -60, 16, 0, 96, 40, 0, -120, 0, 0, -60, 60, 0, -12, 76, 0, -18, 0, 0, 80, -80, 0, -24, -40, 0, 48, 32, 0, -42, -120, 0, 150, 116, 0, 52, -60, 0, 100, 40, 0, 0, 48, 0, 40, 16, 0, 76, -40, 0, -36, 20, 0, 16, -80, 0, -40, 0, 0, -36, -80, 0, 18, -48, 0, 16, -36, 0, 40, -44, 0, 100, 20, 0, 48, 78, 0, 80, -10, 0, -140, 0, 0, -40, 90, 0, 20, 0, 0, -40, 0, 0, -200, 48, 0, -84, 0, 0, -24, -64, 0, 74, -40, 0, 120, 8, 0, -32, 170, 0, 0, -24, 0, 60, -48, 0, -160, -36, 0, 6, -20, 0, -24, -20, 0, 24, 0, 0, 120, 56, 0, -72, -90, 0, 0, 12, 0, -12, -12, 0, -240, -112, 0, -48, 120, 0, -12, -126, 0, 16, 40, 0, -150, -12, 0, -40, 0, 0, -120, 96, 0, 40, -24, 0, -120, -128, 0, 24, 40, 0, 30, 14, 0, 0, 0, 0, 130, -88, 0, 0, 80, 0, -40, -48, 0, -80, -96, 0, 0, -20, 0, -100, 80, 0, 120, 72, 0, 16, 20, 0, -20, 44, 0, 40, 100, 0, -10, 60, 0, -76, -36, 0, 140, -20, 0, 60, 40, 0, 144, 14, 0, -66, 60, 0, -130, 0, 0, -100, -40, 0, -30, 20, 0, 0, -240, 0, 120, -88, 0, -96, 20, 0, -60, -68, 0, 54, 100, 0, 0, -56, 0, 28, 20, 0, 52, 4, 0, 24, -48, 0, 0, -48, 0, 60, 100, 0, 60, -78, 0, 62, 12, 0, 80, -48, 0, 148, -240, 0, -20, 76, 0, 14, -168, 0, 80, 0, 0, -88, -100, 0, 132, -8, 0, 74, 0, 0, 0, -64, 0, 28, 80, 0, -12, -120, 0, -80, 72, 0, -180, -100, 0, 40, 120, 0, -108, 52, 0, 0, 0, 0, 0, -32, 0, 88, 60, 0, 0, -50, 0, 0, -24, 0, 60, 24, 0, 32, 60, 0, 96, -70, 0, -100, 20, 0, 100, 8, 0, -8, 100, 0, -60, -78, 0, -32, -186, 0, 80, 24, 0, -128, -160, 0, 54, 0, 0, 88, 16, 0, 90, -112, 0, 48, 0, 0, 20, -4, 0, 62, 0, 0, 200, -24, 0, 40, 160, 0, 0, -80, 0, -120, -20, 0, -80, 32, 0, 40, -30, 0, -20, 4, 0, -42, -240, 0, -80, 0, 0, -28, -100, 0, 72, -36, 0, -96, -30, 0, 0, 0, 0, -16, 50, 0, 20, -82, 0, -16, -24, 0, -80, -80, 0, -16, 0, 0, -120, -60, 0, -32, 20, 0, 80, 80, 0, -52, -100, 0, -70, -8, 0, -154, 84, 0, -20, -80, 0, 0, -160, 0, 108, -24, 0, -12, -2, 0, -140, -96, 0, 0, -60, 0, -80, -32, 0, -88, 60, 0, 120, -56, 0, -62, -200, 0, 108, 106, 0, 104, 80, 0, 30, -28, 0, 76, 160, 0, 0, 22, 0, 40, -186, 0, 0, 0, 0, 80, 0, 0, -180, -44, 0, 24, 104, 0, -160, -8, 0, -28, -10, 0, 70, 40, 0, -118, 36, 0, 0, 144, 0, 40, 40, 0, -180, -40, 0, -72, -30, 0, 40, 96, 0, -24, -200, 0, 0, -62, 0, -20, -78, 0, -80, -24, 0, 8, 0, 0, -138, -12, 0, -86, 0, 0, 100, 60, 0, 104, 40, 0, -60, 6, 0, -50, 0, 0, -120, -8, 0, 76, 80, 0, 72, 60, 0, 118, -100, 0, -20, -32, 0, -80, 100, 0, 20, 144, 0, 0, -24, 0, 80, 80, 0, -20, 140, 0, -72, 118, 0, 104, -120, 0, 80, -96, 0, 64, -10, 0, 30, 24, 0, 108, -48, 0, -80, 40, 0, -160, 160, 0, 120, 42, 0, -84, -80, 0, -40, -40, 0, 128, -70, 0, 0, 0, 0, 16, -204, 0, -80, 80, 0, -56, -40, 0, 120, 40, 0, 18, 10, 0, 10, 96, 0, 8, 80, 0, 0, -32, 0, -48, 72, 0, 160, 36, 0, -42, -80, 0, -120, -40, 0, 0, -20, 0, -260, -4, 0, -40, 80, 0, 32, -16, 0, 144, -30, 0, 20, 96, 0, 32, -40, 0, 72, -64, 0, -80, 70, 0, 210, -48, 0, 120, 0, 0, 20, 40, 0, 36, 0, 0, 120, -24, 0, 72, 40, 0, 216, -64, 0, 80, 20, 0, -10, -12, 0, 0, 180, 0, 120, 120, 0, -72, -162, 0, 0, -68, 0, -108, -80, 0, -66, -124, 0, -20, 16, 0, -220, 40, 0, -64, -200, 0, 40, 120, 0, -24, 24, 0, 20, -120, 0, -144, 20, 0, -54, -80, 0, 42, 40, 0, 160, 0, 0, -120, -40, 0, -16, -24, 0, 96, -60, 0, 40, 48, 0, -100, 80, 0, 30, -84, 0, -122, 90, 0, 0, 32, 0, 20, -20, 0, 60, 128, 0, -20, -96, 0, -120, 64, 0, -4, -20, 0, -120, 38, 0, -142, -80, 0, -180, 16, 0, 60, -90, 0, 50, 120, 0, 112, 66, 0, 120, 160, 0, 68, 220, 0, -54, -16, 0, -2, 0, 0, -40, 88, 0, 20, -60, 0, 0, -32, 0, 60, -72, 0, 80, 48, 0, 12, 0, 0, -96, -14, 0, 0, -20, 0, 120, 0, 0, 52, -130, 0, 12, -30, 0, 52, 84, 0, 160, -128, 0, 24, 160, 0, -72, -6, 0, -60, -52, 0, 40, 0, 0, 32, 0, 0, -40, -38, 0, 80, 84, 0, -240, -40, 0, 40, 40, 0, 96, 0, 0, -12, 60, 0, 50, -192, 0, 132, 40, 0, 0, 44, 0, 46, 120, 0, 0, 96, 0, 40, -40, 0, 0, -100, 0, 92, 8, 0, -40, -64, 0, 44, -180, 0, -40, -40, 0, -118, 0, 0, 120, 0, 0, 120, -60, 0, 96, 128, 0, 88, 100, 0, -80, 72, 0, -80, -100, 0, -14, 60, 0, 108, -30, 0, -240, -96, 0, -8, 0, 0, 84, 80, 0, -66, 180, 0, 60, -80, 0, -68, -80, 0, -80, 50, 0, 110, 120, 0, 80, -56, 0, 0, 0, 0, -36, -12, 0, 40, 60, 0, 40, 28, 0, 108, -80, 0, 26, 8, 0, 80, 60, 0, 100, 16, 0, -48, -180, 0, -108, 24, 0, -54, 0, 0, -100, 120, 0, -32, -180, 0, 80, 118, 0, 4, -120, 0, -160, 0, 0, 12, 60, 0, 60, 92, 0, 0, 20, 0, -80, 80, 0, 124, -50, 0, -18, 0, 0, -22, 138, 0, 0, -112, 0, -78, 20, 0, 60, 40, 0, -72, -72, 0, 20, 8, 0, -80, 40, 0, 60, 110, 0, 176, -108, 0, 40, 80, 0, -64, -120, 0, 36, 116, 0, 0, 80, 0, 20, 48, 0, 36, 50, 0, 30, 80, 0, -22, 0, 0, 0, 16, 0, -24, 100, 0, -240, -16, 0, -68, 24, 0, -50, 0, 0, 160, -160, 0, 20, -70, 0, 0, -24, 0, -40, -8, 0, 36, -160, 0, -84, -44, 0, -28, 100, 0, 230, 88, 0, 16, 30, 0, 12, 18, 0, 160, 120, 0, -40, -12, 0, -32, -60, 0, -102, 170, 0, 32, -60, 0, -80, -16, 0, 80, -110, 0, -60, 0, 0, 60, 120, 0, 240, -8, 0, -80, -20, 0, -132, -72, 0, 56, -30, 0, -100, -72, 0, -20, 70, 0, 0, 80, 0, -84, -72, 0, 120, -40, 0, -12, -160, 0, 0, -68, 0, -32, 20, 0, 20, 52, 0, 68, 90, 0, 40, -116, 0, 20, -12, 0, 40, -80, 0, 80, -140, 0, -60, -176, 0, -60, -20, 0, -130, -20, 0, -40, 0, 0, 40, 152, 0, -64, -168, 0, -40, -136, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0], [1, 0], [0, -1], [0, 0], [3, 0], [-1, -1], [0, 0], [-1, 1], [0, -1], [0, 0], [5, 1], [4, 0], [0, 0], [0, 2], [-5, 1], [0, 0], [-1, 0], [-5, -1], [0, 0], [-5, 1], [-3, -3], [0, 0], [0, -4], [0, 0], [0, 0], [1, 2], [-10, 0], [0, 0], [-3, 3], [0, 2], [0, 0], [-2, 2], [0, 3], [0, 0], [5, 5], [-4, 0], [0, 0], [0, 2], [-5, 5], [0, 0], [5, 1], [2, -4], [0, 0], [-1, -3], [12, 0], [0, 0], [0, 0], [4, 0], [0, 0], [-1, -2], [-10, -1], [0, 0], [0, 6], [-3, 1], [0, 0], [-4, -4], [-5, 1], [0, 0], [-10, 0], [-4, -4], [0, 0], [0, 2], [-10, 2], [0, 0], [-13, 0], [-10, -2], [0, 0], [-3, -1], [-15, -3], [0, 0], [0, 4], [8, 0], [0, 0], [-2, -4], [-10, 0], [0, 0], [-15, 3], [-4, 4], [0, 0], [-3, 3], [1, 1], [0, 0], [20, -2], [4, 0], [0, 0], [10, 6], [15, 1], [0, 0], [0, -4], [1, 1], [0, 0], [10, -2], [0, 0], [0, 0], [0, -4], [0, 4], [0, 0], [-4, 2], [10, 1], [0, 0], [3, 6]]}