# Stored data for newform 1666.2.a.i, downloaded from the LMFDB on 06 December 2025.
{"Nk2": 6664, "analytic_conductor": 13.303076976745311, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [7, -1], [17, -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": [1666, 1, [885, 785], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[3, [2, 1]], [5, [0, 1]]], "hecke_orbit": 9, "hecke_orbit_code": 36028797052520066, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "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": "1666.2.a.i", "level": 1666, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 7, 17], "level_radical": 238, "minimal_twist": "238.2.a.e", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\\cdots", "related_objects": ["EllipticCurve/Q/1666/i"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1666.2.a", "trace_display": [1, -2, 0, 0], "trace_hash": 294853726605237128, "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "1.030", "prec": 17}, {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "2.103", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.387", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.022", "prec": 17}, "traces": [0, 1, 1, -2, 1, 0, -2, 0, 1, 1, 0, -2, -2, 2, 0, 0, 1, 1, 1, 0, 0, 0, -2, 4, -2, -5, 2, 4, 0, 4, 0, 0, 1, 4, 1, 0, 1, 8, 0, -4, 0, 2, 0, 0, -2, 0, 4, 0, -2, 0, -5, -2, 2, 2, 4, 0, 0, 0, 4, -4, 0, 12, 0, 0, 1, 0, 4, -8, 1, -8, 0, 12, 1, 14, 8, 10, 0, 0, -4, 12, 0, -11, 2, -4, 0, 0, 0, -8, -2, 6, 0, 0, 4, 0, 0, 0, -2, -6, 0, -2, -5, 10, -2, -8, 2, 0, 2, 10, 4, 4, 0, -16, 0, 18, 0, 0, 4, 2, -4, 0, 0, -7, 12, -4, 0, 0, 0, 8, 1, 0, 0, -14, 4, 0, -8, 0, 1, 6, -8, -14, 0, 0, 12, -4, 1, 0, 14, 0, 8, 6, 10, -8, 0, 1, 0, 0, -4, 22, 12, -4, 0, 0, -11, -14, 2, 0, -4, 0, 0, -9, 0, 0, 0, 0, -8, 0, -2, 8, 6, 12, 0, -12, 0, -24, 4, 0, 0, -2, 0, 0, 0, 0, -2, -26, -6, 0, 0, 8, -2, -20, -5, 16, 10, 0, -2, 0, -8, 4, 2, 0, 0, -10, 2, -24, 10, 0, 4, 0, 4, -28, 0, 2, -16, 24, 0, -5, 18, -6, 0, 14, 0, 0, 4, -30, 2, 0, -4, -24, 0, -24, 0, 26, -7, 10, 12, 0, -4, 0, 0, 8, 0, 28, 0, -8, 8, 0, 1, -30, 0, 0, 0, 4, -14, -8, 4, 0, 0, -12, -8, 0, 0, 0, 1, 0, 6, 10, -8, -12, -14, 0, 0, -10, 0, -18, 12, 0, -4, 0, 1, 1, 0, 12, 14, 6, 0, 0, 8, -8, 6, 8, 10, 0, -8, -20, 0, 0, 1, 8, 0, 16, 0, 0, -4, -6, 22, 0, 12, 24, -4, -8, 0, -20, 0, 0, -11, -10, -14, -8, 2, 0, 0, -8, -4, 8, 0, 0, 0, 2, -9, -36, 0, 0, 0, 0, 0, 0, 0, 18, -8, -14, 0, 8, -2, -14, 8, 0, 6, 0, 12, -32, 0, -19, -12, 14, 0, 0, -24, -12, 4, 2, 0, 0, 0, 26, -2, 0, 0, 8, 0, 14, 0, -16, 0, -24, -2, 0, -26, 0, -6, 30, 0, 4, 0, 28, 8, 0, -2, -20, -20, 0, -5, -18, 16, 0, 10, 0, 0, -16, -2, 10, 0, -12, -8, 0, 4, 0, 2, 28, 0, 26, 0, 18, -10, 0, 2, -5, -24, 0, 10, 8, 0, -20, 4, -26, 0, 0, 4, 0, -28, 20, 0, 0, 2, -40, -16, 0, 24, -12, 0, -10, -5, -4, 18, 16, -6, 0, 0, -22, 14, 4, 0, 34, 0, 8, 4, 0, -30, -16, 2, 0, 0, -44, -4, 0, -24, 0, 0, 2, -24, 36, 0, 16, 26, 0, -7, 0, 10, -4, 12, 28, 0, 20, -4, 4, 0, 0, 0, 0, 8, 30, 0, 0, 28, 28, 0, 0, -8, 18, 8, 38, 0, 0, 1, 0, -30, 0, 0, 0, 0, 0, 0, 34, 4, -36, -14, 0, -8, 0, 4, -7, 0, -4, 0, 4, -12, 0, -8, -24, 0, 0, 0, -8, 0, 24, 1, 0, 0, 26, 6, 12, 10, 0, -8, 0, -12, 0, -14, 34, 0, 0, 0, 4, -10, -4, 0, 0, -18, 0, 12, 34, 0, -22, -4, 0, 0, -20, 1, 10, 1, 52, 0, 0, 12, -4, 14, 0, 6, 8, 0, 0, 0, -16, 8, -18, -8, 0, 6, 40, 8, 48, 10, 22, 0, -8, -8, 0, -20, -40, 0, 0, 0, 0, 1, 38, 8, 0, 0, 10, 16, 10, 0, 16, 0, 0, -4, 25, -6, 0, 22, 8, 0, -24, 12, 20, 24, 0, -4, 0, -8, 12, 0, -2, -20, -50, 0, 0, 0, 32, -11, 8, -10, 0, -14, 12, -8, 0, 2, 14, 0, 12, 0, -14, -8, -4, -4, 0, 8, 16, 0, -48, 0, -24, 0, -18, 2, -20, -9, 12, -36, 0, 0, 12, 0, 22, 0, 0, 0, -28, 0, 4, 0, 6, 0, 0, 18, 0, -8, 2, -14, 60, 0, -22, 8, 0, -2, 0, -14, 0, 8, 20, 0, 12, 6, 0, 0, 0, 12, 48, -32, -20, 0, 0, -19, -52, -12, -20, 14, -8, 0, 13, 0, 0, -24, -22, -12, 0, 4, 16, 2, 12, 0, 0, 0, -32, 0, 0, 26, -4, -2, 0, 0, 36, 0, -56, 8, 0, 0, -42, 14, 16, 0, -22, -16, 0, 0, 0, -24, -8, -2, -14, 0, 60, -26, -34, 0, 0, -6, 0, 30, 0, 0, -24, 4, 16, 0, 0, 28, 26, 8, 16, 0, 0, -2, 24, -20, 0, -20, -46, 0, 0, -5, 6, -18, -28, 16, 0, 0, 0, 10, -18, 0, -34, 0, 0, -16, 0, -2, 0, 10, 0, 0, -8, -12, -12, -8, -20, 0, -26, 4, -26, 0, 24, 2, 0, 28, 0, 0, 0, 26, 40, 0, -13, 18, 20, -10, 0, 0, 0, 2, 36, -5, 32, -24, 16, 0, 0, 10, 10, 8, 4, 0, 0, -20, 56, 4, 0, -26, -2, 0, -24, 0, -16, 4, -6, 0, 0, -28, 20, 20, -12, 0, -26, 0, 16, 2, 0, -40, -12, -16, 0, 0, 22, 24, 0, -12, 0, 0, -16, -10, 0, -5, 2, -4, 0, 18, 0, 16, -26, -6, 10, 0, 40, 0, 8, -22, 0, 14, 0, 4, -16, 0, -16, 34, 24, 0, -40, 8, -8, 4, 50, 0, 0, -30, 0, -16, 0, 2, 2, 0, 12, 0, -4, -44, 8, -4, 0, 0, -38, -24, 28, 0, -48, 0, 18, 2, 0, -24, 16, 36, 0, 0, -31, 16, 10, 26, 0, 0, -48, -7, 0, 0, 4, 10, 0, -4, 20, 12, -22, 28, -12, 0, 4, 20, -4, -4, 0, 4, 0, 0, 0, 0, 12, 0, 16, 0, 0, 8, 20, 30, 32, 0, 0, 0, -4, 28, 0, 28, 0, 0, 46, 0, -4, -8, -36, 18, 0, 8, 18, 38, 28, 0, -14, 0, 0, 1, -10, 0, 24, -30, 0, 0, -8, 0, 26, 0, 0, 0, 12, 0, 56, 0, -36, 34, 0, 4, 0, -36, 28, -14, -42, 0, 14, -8, -22, 0, 0, 4, 0, -7, 28, 0, 32, -4, -64, 0, 0, 4, 12, -12, 62, 0, 0, -8, 32, -24, 0, 0, 64, 0, -8, 0, 0, -8, 38, 0, 0, 24, -56, 1, -7, 0, -14, 0, -8, 26, 0, 6, 6, 12, 0, 10, 24, 0, 24, -8, 0, 0, 8, -12, 2, 0, -20, -14, 0, 34, 0, 0, 0, 0, -52, 0, 0, 4, -32, -10, 0, -4, 0, 0, -50, 0, -16, -18, 16, 0, 0, 12, -28, 34, -8, 0, 0, -22, 8, -4, 0, 0, 0, 0, 48, -20, 32, 1, -18, 10, 0, 1, 12, 52, 0, 0, 0, 0, -6, 12, 0, -4, -60, 14, 0, 0, -12, 6, -8, 8, 0, 0, -20, 0, -14, 0, 46, -16, 0, 8, 0, -18, 54, -8, 8, 0, 40, 6, 6, 40, 0, 8, 0, 48, -8, 10, -14, 22, 36, 0, 0, -8, 12, -8, 0, 0, 0, -20, -8, -40, 0, 0, -58, 0, 8, 0, 32, 0, 0, 1, 0, 38, -20, 8, 24, 0, 12, 0, 6, 10, 0, 16, -2, 10, 0, 0, 14, 16, -36, 0, 0, 0, 0, -4, 2, 25, -14, -6, 0, 0, 0, 22, -52, 8, 40, 0, -12, -24, -36, 12, 0, 20, 0, 24, 0, 0, 0, -4, 0, 0, 10, -8, 6, 12, -48, 0, 0, -2, -44, -20, 0, -50, -4, 0, 2, 0, -48, 0, 40, 32, 0, -11, -58, 8, 52, -10, -18, 0, 32, -14, 0, 12, 48, -8, 0, 0, 0, 2, 20, 14, 0, 0, -40, 12, 24, 0, -14, -14, 0, -8, -10, -4, 64, -4, 80, 0, 36, 8, 0, 16, 0, 0, 0, -48, -16, 0, 6, -24, 12, 0, 0, -18, 20, 2, 0, -20, 0, -9, 8, 12, 0, -36, -16, 0, -8, 0, -26, 12, 0, 0, 0, 22, 48, 0, 27, 0, 44, 0, 18, -28, 0, 0, -11, 4, 0, 0, -50, 6, -68, 0, 0, 0, 0, 18, -16, 0, 20, -8, 0, 2, 0, -14, -16, 60, -32, 0, 32, -22, 48, 8, 0, 0, 0, -2, -2, 0, -4, -14, 22, 0, 0, 8, 8, 20, 0, 0, 0, 12, -32, 6, 0, 0, -4, 0, -30, 0, 8, 12, -74, 48, 0, -32, -72, -20, -28, 0, 28, 0, -32, -19, 0, -52, 8, -12, 0, -20, 2, 14, -54, -8, 0, 0, 0, 13, -74, 0, 8, 0, 0, -24, 0, -22, -14, -12, 36, 0, -8, 4, -40, 16, 20, 2, 0, 12, -8, 0, -6, 0, 68, 0, 0, -32, -32, 0, 10, 0, 0, 26, -48, -4, 0, -2, -60, 0, 66, 0, 0, 36, 0, 0, 0, -56, -12, 8, -56, 0, -56, 0, 6, -42, 0, 14, 16, 16, 0, 0, -9, -22, -54, -16, -60, 0, -76, 0, 28, 0, -8, -24, 0, -8, 0, -2, 8, -14, 0, 0, -32, 60, 16, -26, 0, -34, 0, 0, 70, 0, 0, -6, 38, 0, 0, 30, 0, 0, 24, 0, 0, -24, -68, 4, 0, 16, 32, 0, 72, 0, -54, 28, -14, 26, 0, 8, 0, 16, -40, 0, 0, 0, -8, -2, 0, 24, 14, -20, 0, 0, 0, -20, -16, -46, 0, 0, -58, 0, -8, -5, -10, 6, 0, -18, 0, -28, -24, 16, 14, 0, 12, 0, -50, 0, 0, 10, 0, -18, -40, 0, 16, -34, 16, 0, 0, 0, 22, -16, -12, 0, 0, -2, 48, 0, 0, 10, 44, 0, -12, 0, -52, -8, 0, -12, 0, -12, 48, -8, -6, -20, 16, 0, 0, -26, 0, 4, -22, -26, 0, 0, 16, 24, 16, 2, 0, 0, -36, 28, -76, 0, -68, 0, 0, 0, 40, 26, 0, 40, 56, 0, -37, -13, -2, 18, 0, 20, 0, -10, 8, 0, 0, 0, 16, 0, 0, 2, -22, 36, -28, -5, 0, 32, -28, -24, 0, 16, -68, 0, -6, 0, -16, 10, 44, 10, 0, 8, 10, 4, 0, 0, -54, 0, 10, -20, 40, 56, -44, 4, 0, 0, -20, -26, 54, -2, 0, 0, -26, -24, 0, 0, -40, -16, 0, 4, 0, -6, -20, 0, 8, 0, -8, -28, -42, 20, 0, 20, 0, -12, 16, 0, -16, -26, 0, 0, 0, 16, 0, 2, 48, 0, 0, -40, 8, -12, -60, -16, -54, 0, 36, 0, 12, 22, 48, 24, 0, 0, 72, -12, 34, 0, -20, 0, 28, -16, 0, -10, -96, 0, 0, -5, -22, 2, -44, -4, 0, 0, -28, 18, -32, 0, 76, 16, 0, -26, 0, -6, 48, 10, 10, 0, 80, 40, -56, 0, -70, 8, 0, -22, 0, 0, -16, 14, 0, 0, 0, 4, 0, -16, -76, 0, 0, -16, 0, 34, 0, 24, 24, 0, -43, -40, -20, 8, 4, -8, 0, 4, -20, 50, 18, 0, 10, 0, -44, -30, 0, 0, 34, -16, 0, 0, 72, 2, 38, 2, -50, 0, 0, 12, 40, 0, 0, -4, 0, -44, 0, 8, -16, -4, -34, 0, 0, 0, 48, -38, 0, -24, 0, 28, -10, 0, -84, -48, 0, 0, 0, 18, -2, 2, -16, 0, 0, -24, -34, 16, 0, 36, 48, 0, 0, 0, 18, -31, 4, 16, 0, 10, 0, 26, 100, 0, 54, 0, 64, -48, 0, -7, 12, 0, 0, 0, -64, 4, -32, 10, 0, 0, -16, -4, -16, 20, 8, 12, 0, -22, 0, 28, 0, -12, -24, 0, 16, 4, -16, 20, 0, -4, 0, -4, -24, 0, 56, 4, -14, 0, -60, 0, -24, 0, 42, 0, 0, 12, 28, 0, 0, 16, -20, 0, 2, 0, 24, 8, -26, 20, 0, 30, -34, 32, -80, 0, -32, 0, 46, 0, 0, -4, 24, 28, 0, 0, -34, 28, 48, 0, 0, 0, -10, 46, 36, 0, 0, -4, 0, -8, 55, -36, -36, 18, -4, 0, -24, 8, 0, 18, 0, 38, 0, 28, -48, 0, 44, -14, -6, 0, 0, 0, 24, 1, -44, -10, 0, 0, -26, 24, 0, -30, -7, 0, 48, 0, 14, -8, -12, 0, 0, 26, -8, 0, -20, 0, 0, 0, -12, 12, 20, 0, 0, 56, 0, 0, -42, -36, -28, 34, 0, 0, -24, 4, 66, 0, -4, -36, 0, 28, 0, -14, -30, -42, -32, 0, 0, 14, 44, -8, 0, -22, 0, 0, 0, 0, 0, 4, 38, 0, 0, -7, 56, 28, -28, 0, 0, 32, 52, -4, 0, -64, -40, 0, 54, 0, 26, 4, 48, 12, 0, -12, 62, 62, 0, 0, -18, 0, -24, -8, 0, 32, 0, -24, 0, 0, -24, 0, 6, 64, 0, 0, 40, -8, 8, 0, 30, 0, 0, -8, 0, 38, -16, 0, 26, 0, 0, 24, 4, -56, 40, 1, 0, -7, 34, 0, 16, -14, -32, 0, 0, -8, -56, 26, 40, 0, 0, 6, 0, 6, 0, 12, -44, 0, 44, 10, 0, 24, 86, 0, 0, 24, -20, -8, -47, 0, -32, 0, -40, 8, 0, -12, -24, 2, 0, 0, 20, -20, 0, -14, -30, 0, -14, 34, 64, 0, -24, 0, 0, 0, 0, 0, -48, -52, -28, 0, -16, 0, -56, 4, 0, -32, 0, -10, 0, 0, 42, -4, -72, 0, 0, 0, 96, -50, 28, 0, 0, -16, 0, -18, 0, 16, 30, 0, 26, 0, 84, 12, 62, -28, 0, 34, -8, -8, 0, 0, 70, 0, 44, -22, 0, 8, -32, -4, 0, 0, 48, 0, 18, 0, 0, 0, 82, 48, 0, -20, 16, 32, 0, 1, 0, -18, 28, 10, 84, 0, -56, 1, -30, 12, 0, 52, 0, 0, 68, 0, 20, 0, 40, 0, 0, -6, 24, 12, 6, 0, 0, -4, -54, -60, 0, 14, 0, 0, 82, 0, 28, -12, 48, 6, 0, -8, 80, 8, -44, 0, 48, 0, -24, -20, 0, 0, 76, -14, 0, 0, -52, 46, -14, -16, 0, 0, -8, 8, -32, 0, 28, -18, 0, 54, 0, -8, 38, 8, -48, 0, -50, 40, -32, 6, 0, 6, 0, 40, -10, 0, 92, 8, -46, 0, 0, 48, 0, -8, 48, 10, 0, -14, 24, 22, 0, 36, -16, 0, 56, 0, -42, -8, 0, 12, 0, -8, -82, 0, -8, 0, 0, 0, -24, -20, 30, -8, 36, -40, 0, 0, -4, 0, 68, -58, 0, 0, 16, 8, 0, 0, 30, 32, 0, 0, 0, 0, 32, 1, 0, 0, 0, 38, -48, -20, 0, 8, 0, 24, 10, 0, 40, 12, 16, 0, 0, 6, -24, 10, 24, 0, 0, 16, -10, -2, 10, 10, -72, 0, -64, 0, 52, 14, 0, 16, 0, -36, 52, 0, 0, 0, 0, 0, -12, 0, 0, -4, 12, 2, 0, 25, 24, -14, -48, -6, 0, 0, 16, 0, -52, 0, 0, 22, 0, -52, 0, 8, -80, 40, -28, 0, -58, -12, 26, -24, -50, -36, 0, 12, -10, 0, -8, 20, 6, 0, 0, 24, 0, 0, -82, 0, 0, 0, 84, -4, 0, 0, -18, 0, 90, 10, -56, -8, -64, 6, 0, 12, -68, -48, -32, 0, 16, 0, 60, -2, 0, -44, -8, -20, 0, 0, -20, -50, 0, -4, 40, 0, -8, 2, -18, 0, 24, -48, 0, 0, 0, 40, -40, 32, -112, 0, 72, -11, -30, -58, 0, 8, 0, 52, 72, -10, 1, -18, 0, 0, 0, 32, 48, -14, 34, 0, 0, 12, 32, 48, 0, -8, 62, 0, -24, 0, -56, 0, 0, 2, 0, 20, 96, 14, 48, 0, -40, 0, -74, -40, 0, 12, 6, 24, 0, 0, 0, -14, 52, -14, 0, 0, -12, -8, -32, -10, -52, -4, 0, 64, 0, -4, -30, 80, -86, 0, 24, 36, -88, 8, 0, 0, 0, 16, 22, 0, -80, 0, -20, 0, -50, -48, 86, -16, 0, 0, 0, 6, 38, -24, 0, 12, 0, 0, 26, 0, 8, -18, 28, 20, 0, 2, 0, 0, -4, -20, 112, 0, -4, -9, 0, 8, 8, 12, 0, 0, 24, -36, 62, -16, 0, 0, 0, -8, -8, 0, 52, -26, 0, 12, -20, 0, 40, 0, 26, 0, 30, 22, -80, 48, 0, 0, 0, 27, -16, 0, -14, 44, -20, 0, 0, 18, -16, -28, -76, 0, 0, 0, 30, -11, 0, 4, 32, 0, 0, 0, -56, -50, 8, 6, 0, -68, 48, 0, -48, 0, -14, 0, 0, 0, 80, 18, -38, -16, 0, 0, -32, 20, -28, -8, 0, 0, -100, 2, 54, 0, 88, -14, 0, -16, 0, 60, -2, -32, 0, 0, -66, 32, 84, -22, 0, 48, 0, 8, -49, 0, -4, 0, -24, 0, 0, -2, -6, -2, -42, 0, 0, -4, 8, -14, -90, 22, 60, 0, -16, 0, 0, 8, 62, 8, 0, 20, -34, 0, 0, 0, 76, 0, 52, 12, 0, -32, -56, 6, 0, 0, -54, 0, 24, -4, 0, 0, -82, -30, -36, 0, -52, 8, 0, 12, 0, -74, 0, 48, 0, 0, -8, -32, -9, -72, 0, -20, 0, -28, 44, 0, 0, 28, 62, 0, 0, -32, -8, -19, 40, 0, 0, -52, 16, 8, 0, -12, 42, 0, 48, -20, 96, 2, -8, 14, 0, -54, 0, -8, -78, 0, 24, 0, -8, 0, 0, 13, -64, -74, 0, 0, 32, 8, 96, 0, -10, 0, -12, -24, 40, 0, 44, -22, 0, -14, 0, -12, 24, 36, -24, 0, 0, -8, 16, 4, 0, -40, 0, 16, 8, 20, -12, 2, 82, 0, 0, 12, 38, -8, 0, 0, 0, -6, -30, 0, 0, 68, 0, 0, 18, 0, 92, -32, -24, -32, 0, 0, 28, 10, -8, 0, 0, 0, 0, 26, 0, -48, -32, -4, 0, 0, -40, -2, 28, -60, 0, 0, -88, 66, 40, 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], 1, 1, -2, 1, 0, -2, 0, 1, 1, 0, -2, -2, 2, 0, 0, 1, 1, 1, 0, 0, 0, -2, 4, -2, -5, 2, 4, 0, 4, 0, 0, 1, 4, 1, 0, 1, 8, 0, -4, 0, 2, 0, 0, -2, 0, 4, 0, -2, 0, -5, -2, 2, 2, 4, 0, 0, 0, 4, -4, 0, 12, 0, 0, 1, 0, 4, -8, 1, -8, 0, 12, 1, 14, 8, 10, 0, 0, -4, 12, 0, -11, 2, -4, 0, 0, 0, -8, -2, 6, 0, 0, 4, 0, 0, 0, -2, -6, 0, -2, -5, 10, -2, -8, 2, 0, 2, 10, 4, 4, 0, -16, 0, 18, 0, 0, 4, 2, -4, 0, 0, -7, 12, -4, 0, 0, 0, 8, 1, 0, 0, -14, 4, 0, -8, 0, 1, 6, -8, -14, 0, 0, 12, -4, 1, 0, 14, 0, 8, 6, 10, -8, 0, 1, 0, 0, -4, 22, 12, -4, 0, 0, -11, -14, 2, 0, -4, 0, 0, -9, 0, 0, 0, 0, -8, 0, -2, 8, 6, 12, 0, -12, 0, -24, 4, 0, 0, -2, 0, 0, 0, 0, -2, -26, -6, 0, 0, 8, -2, -20, -5, 16, 10, 0, -2, 0, -8, 4, 2, 0, 0, -10, 2, -24, 10, 0, 4, 0, 4, -28, 0, 2, -16, 24, 0, -5, 18, -6, 0, 14, 0, 0, 4, -30, 2, 0, -4, -24, 0, -24, 0, 26, -7, 10, 12, 0, -4, 0, 0, 8, 0, 28, 0, -8, 8, 0, 1, -30, 0, 0, 0, 4, -14, -8, 4, 0, 0, -12, -8, 0, 0, 0, 1, 0, 6, 10, -8, -12, -14, 0, 0, -10, 0, -18, 12, 0, -4, 0, 1, 1, 0, 12, 14, 6, 0, 0, 8, -8, 6, 8, 10, 0, -8, -20, 0, 0, 1, 8, 0, 16, 0, 0, -4, -6, 22, 0, 12, 24, -4, -8, 0, -20, 0, 0, -11, -10, -14, -8, 2, 0, 0, -8, -4, 8, 0, 0, 0, 2, -9, -36, 0, 0, 0, 0, 0, 0, 0, 18, -8, -14, 0, 8, -2, -14, 8, 0, 6, 0, 12, -32, 0, -19, -12, 14, 0, 0, -24, -12, 4, 2, 0, 0, 0, 26, -2, 0, 0, 8, 0, 14, 0, -16, 0, -24, -2, 0, -26, 0, -6, 30, 0, 4, 0, 28, 8, 0, -2, -20, -20, 0, -5, -18, 16, 0, 10, 0, 0, -16, -2, 10, 0, -12, -8, 0, 4, 0, 2, 28, 0, 26, 0, 18, -10, 0, 2, -5, -24, 0, 10, 8, 0, -20, 4, -26, 0, 0, 4, 0, -28, 20, 0, 0, 2, -40, -16, 0, 24, -12, 0, -10, -5, -4, 18, 16, -6, 0, 0, -22, 14, 4, 0, 34, 0, 8, 4, 0, -30, -16, 2, 0, 0, -44, -4, 0, -24, 0, 0, 2, -24, 36, 0, 16, 26, 0, -7, 0, 10, -4, 12, 28, 0, 20, -4, 4, 0, 0, 0, 0, 8, 30, 0, 0, 28, 28, 0, 0, -8, 18, 8, 38, 0, 0, 1, 0, -30, 0, 0, 0, 0, 0, 0, 34, 4, -36, -14, 0, -8, 0, 4, -7, 0, -4, 0, 4, -12, 0, -8, -24, 0, 0, 0, -8, 0, 24, 1, 0, 0, 26, 6, 12, 10, 0, -8, 0, -12, 0, -14, 34, 0, 0, 0, 4, -10, -4, 0, 0, -18, 0, 12, 34, 0, -22, -4, 0, 0, -20, 1, 10, 1, 52, 0, 0, 12, -4, 14, 0, 6, 8, 0, 0, 0, -16, 8, -18, -8, 0, 6, 40, 8, 48, 10, 22, 0, -8, -8, 0, -20, -40, 0, 0, 0, 0, 1, 38, 8, 0, 0, 10, 16, 10, 0, 16, 0, 0, -4, 25, -6, 0, 22, 8, 0, -24, 12, 20, 24, 0, -4, 0, -8, 12, 0, -2, -20, -50, 0, 0, 0, 32, -11, 8, -10, 0, -14, 12, -8, 0, 2, 14, 0, 12, 0, -14, -8, -4, -4, 0, 8, 16, 0, -48, 0, -24, 0, -18, 2, -20, -9, 12, -36, 0, 0, 12, 0, 22, 0, 0, 0, -28, 0, 4, 0, 6, 0, 0, 18, 0, -8, 2, -14, 60, 0, -22, 8, 0, -2, 0, -14, 0, 8, 20, 0, 12, 6, 0, 0, 0, 12, 48, -32, -20, 0, 0, -19, -52, -12, -20, 14, -8, 0, 13, 0, 0, -24, -22, -12, 0, 4, 16, 2, 12, 0, 0, 0, -32, 0, 0, 26, -4, -2, 0, 0, 36, 0, -56, 8, 0, 0, -42, 14, 16, 0, -22, -16, 0, 0, 0, -24, -8, -2, -14, 0, 60, -26, -34, 0, 0, -6, 0, 30, 0, 0, -24, 4, 16, 0, 0, 28, 26, 8, 16, 0, 0, -2, 24, -20, 0, -20, -46, 0, 0, -5, 6, -18, -28, 16, 0, 0, 0, 10, -18, 0, -34, 0, 0, -16, 0, -2, 0, 10, 0, 0, -8, -12, -12, -8, -20, 0, -26, 4, -26, 0, 24, 2, 0, 28, 0, 0, 0, 26, 40, 0, -13, 18, 20, -10, 0, 0, 0, 2, 36, -5, 32, -24, 16, 0, 0, 10, 10, 8, 4, 0, 0, -20, 56, 4, 0, -26, -2, 0, -24, 0, -16, 4, -6, 0, 0, -28, 20, 20, -12, 0, -26, 0, 16, 2, 0, -40, -12, -16, 0, 0, 22, 24, 0, -12, 0, 0, -16, -10, 0, -5, 2, -4, 0, 18, 0, 16, -26, -6, 10, 0, 40, 0, 8, -22, 0, 14, 0, 4, -16, 0, -16, 34, 24, 0, -40, 8, -8, 4, 50, 0, 0, -30, 0, -16, 0, 2, 2, 0, 12, 0, -4, -44, 8, -4, 0, 0, -38, -24, 28, 0, -48, 0, 18, 2, 0, -24, 16, 36, 0, 0, -31, 16, 10, 26, 0, 0, -48, -7, 0, 0, 4, 10, 0, -4, 20, 12, -22, 28, -12, 0, 4, 20, -4, -4, 0, 4, 0, 0, 0, 0, 12, 0, 16, 0, 0, 8, 20, 30, 32, 0, 0, 0, -4, 28, 0, 28, 0, 0, 46, 0, -4, -8, -36, 18, 0, 8, 18, 38, 28, 0, -14, 0, 0, 1, -10, 0, 24, -30, 0, 0, -8, 0, 26, 0, 0, 0, 12, 0, 56, 0, -36, 34, 0, 4, 0, -36, 28, -14, -42, 0, 14, -8, -22, 0, 0, 4, 0, -7, 28, 0, 32, -4, -64, 0, 0, 4, 12, -12, 62, 0, 0, -8, 32, -24, 0, 0, 64, 0, -8, 0, 0, -8, 38, 0, 0, 24, -56, 1, -7, 0, -14, 0, -8, 26, 0, 6, 6, 12, 0, 10, 24, 0, 24, -8, 0, 0, 8, -12, 2, 0, -20, -14, 0, 34, 0, 0, 0, 0, -52, 0, 0, 4, -32, -10, 0, -4, 0, 0, -50, 0, -16, -18, 16, 0, 0, 12, -28, 34, -8, 0, 0, -22, 8, -4, 0, 0, 0, 0, 48, -20, 32, 1, -18, 10, 0, 1, 12, 52, 0, 0, 0, 0, -6, 12, 0, -4, -60, 14, 0, 0, -12, 6, -8, 8, 0, 0, -20, 0, -14, 0, 46, -16, 0, 8, 0, -18, 54, -8, 8, 0, 40, 6, 6, 40, 0, 8, 0, 48, -8, 10, -14, 22, 36, 0, 0, -8, 12, -8, 0, 0, 0, -20, -8, -40, 0, 0, -58, 0, 8, 0, 32, 0, 0, 1, 0, 38, -20, 8, 24, 0, 12, 0, 6, 10, 0, 16, -2, 10, 0, 0, 14, 16, -36, 0, 0, 0, 0, -4, 2, 25, -14, -6, 0, 0, 0, 22, -52, 8, 40, 0, -12, -24, -36, 12, 0, 20, 0, 24, 0, 0, 0, -4, 0, 0, 10, -8, 6, 12, -48, 0, 0, -2, -44, -20, 0, -50, -4, 0, 2, 0, -48, 0, 40, 32, 0, -11, -58, 8, 52, -10, -18, 0, 32, -14, 0, 12, 48, -8, 0, 0, 0, 2, 20, 14, 0, 0, -40, 12, 24, 0, -14, -14, 0, -8, -10, -4, 64, -4, 80, 0, 36, 8, 0, 16, 0, 0, 0, -48, -16, 0, 6, -24, 12, 0, 0, -18, 20, 2, 0, -20, 0, -9, 8, 12, 0, -36, -16, 0, -8, 0, -26, 12, 0, 0, 0, 22, 48, 0, 27, 0, 44, 0, 18, -28, 0, 0, -11, 4, 0, 0, -50, 6, -68, 0, 0, 0, 0, 18, -16, 0, 20, -8, 0, 2, 0, -14, -16, 60, -32, 0, 32, -22, 48, 8, 0, 0, 0, -2, -2, 0, -4, -14, 22, 0, 0, 8, 8, 20, 0, 0, 0, 12, -32, 6, 0, 0, -4, 0, -30, 0, 8, 12, -74, 48, 0, -32, -72, -20, -28, 0, 28, 0, -32, -19, 0, -52, 8, -12, 0, -20, 2, 14, -54, -8, 0, 0, 0, 13, -74, 0, 8, 0, 0, -24, 0, -22, -14, -12, 36, 0, -8, 4, -40, 16, 20, 2, 0, 12, -8, 0, -6, 0, 68, 0, 0, -32, -32, 0, 10, 0, 0, 26, -48, -4, 0, -2, -60, 0, 66, 0, 0, 36, 0, 0, 0, -56, -12, 8, -56, 0, -56, 0, 6, -42, 0, 14, 16, 16, 0, 0, -9, -22, -54, -16, -60, 0, -76, 0, 28, 0, -8, -24, 0, -8, 0, -2, 8, -14, 0, 0, -32, 60, 16, -26, 0, -34, 0, 0, 70, 0, 0, -6, 38, 0, 0, 30, 0, 0, 24, 0, 0, -24, -68, 4, 0, 16, 32, 0, 72, 0, -54, 28, -14, 26, 0, 8, 0, 16, -40, 0, 0, 0, -8, -2, 0, 24, 14, -20, 0, 0, 0, -20, -16, -46, 0, 0, -58, 0, -8, -5, -10, 6, 0, -18, 0, -28, -24, 16, 14, 0, 12, 0, -50, 0, 0, 10, 0, -18, -40, 0, 16, -34, 16, 0, 0, 0, 22, -16, -12, 0, 0, -2, 48, 0, 0, 10, 44, 0, -12, 0, -52, -8, 0, -12, 0, -12, 48, -8, -6, -20, 16, 0, 0, -26, 0, 4, -22, -26, 0, 0, 16, 24, 16, 2, 0, 0, -36, 28, -76, 0, -68, 0, 0, 0, 40, 26, 0, 40, 56, 0, -37, -13, -2, 18, 0, 20, 0, -10, 8, 0, 0, 0, 16, 0, 0, 2, -22, 36, -28, -5, 0, 32, -28, -24, 0, 16, -68, 0, -6, 0, -16, 10, 44, 10, 0, 8, 10, 4, 0, 0, -54, 0, 10, -20, 40, 56, -44, 4, 0, 0, -20, -26, 54, -2, 0, 0, -26, -24, 0, 0, -40, -16, 0, 4, 0, -6, -20, 0, 8, 0, -8, -28, -42, 20, 0, 20, 0, -12, 16, 0, -16, -26, 0, 0, 0, 16, 0, 2, 48, 0, 0, -40, 8, -12, -60, -16, -54, 0, 36, 0, 12, 22, 48, 24, 0, 0, 72, -12, 34, 0, -20, 0, 28, -16, 0, -10, -96, 0, 0, -5, -22, 2, -44, -4, 0, 0, -28, 18, -32, 0, 76, 16, 0, -26, 0, -6, 48, 10, 10, 0, 80, 40, -56, 0, -70, 8, 0, -22, 0, 0, -16, 14, 0, 0, 0, 4, 0, -16, -76, 0, 0, -16, 0, 34, 0, 24, 24, 0, -43, -40, -20, 8, 4, -8, 0, 4, -20, 50, 18, 0, 10, 0, -44, -30, 0, 0, 34, -16, 0, 0, 72, 2, 38, 2, -50, 0, 0, 12, 40, 0, 0, -4, 0, -44, 0, 8, -16, -4, -34, 0, 0, 0, 48, -38, 0, -24, 0, 28, -10, 0, -84, -48, 0, 0, 0, 18, -2, 2, -16, 0, 0, -24, -34, 16, 0, 36, 48, 0, 0, 0, 18, -31, 4, 16, 0, 10, 0, 26, 100, 0, 54, 0, 64, -48, 0, -7, 12, 0, 0, 0, -64, 4, -32, 10, 0, 0, -16, -4, -16, 20, 8, 12, 0, -22, 0, 28, 0, -12, -24, 0, 16, 4, -16, 20, 0, -4, 0, -4, -24, 0, 56, 4, -14, 0, -60, 0, -24, 0, 42, 0, 0, 12, 28, 0, 0, 16, -20, 0, 2, 0, 24, 8, -26, 20, 0, 30, -34, 32, -80, 0, -32, 0, 46, 0, 0, -4, 24, 28, 0, 0, -34, 28, 48, 0, 0, 0, -10, 46, 36, 0, 0, -4, 0, -8, 55, -36, -36, 18, -4, 0, -24, 8, 0, 18, 0, 38, 0, 28, -48, 0, 44, -14, -6, 0, 0, 0, 24, 1, -44, -10, 0, 0, -26, 24, 0, -30, -7, 0, 48, 0, 14, -8, -12, 0, 0, 26, -8, 0, -20, 0, 0, 0, -12, 12, 20, 0, 0, 56, 0, 0, -42, -36, -28, 34, 0, 0, -24, 4, 66, 0, -4, -36, 0, 28, 0, -14, -30, -42, -32, 0, 0, 14, 44, -8, 0, -22, 0, 0, 0, 0, 0, 4, 38, 0, 0, -7, 56, 28, -28, 0, 0, 32, 52, -4, 0, -64, -40, 0, 54, 0, 26, 4, 48, 12, 0, -12, 62, 62, 0, 0, -18, 0, -24, -8, 0, 32, 0, -24, 0, 0, -24, 0, 6, 64, 0, 0, 40, -8, 8, 0, 30, 0, 0, -8, 0, 38, -16, 0, 26, 0, 0, 24, 4, -56, 40, 1, 0, -7, 34, 0, 16, -14, -32, 0, 0, -8, -56, 26, 40, 0, 0, 6, 0, 6, 0, 12, -44, 0, 44, 10, 0, 24, 86, 0, 0, 24, -20, -8, -47, 0, -32, 0, -40, 8, 0, -12, -24, 2, 0, 0, 20, -20, 0, -14, -30, 0, -14, 34, 64, 0, -24, 0, 0, 0, 0, 0, -48, -52, -28, 0, -16, 0, -56, 4, 0, -32, 0, -10, 0, 0, 42, -4, -72, 0, 0, 0, 96, -50, 28, 0, 0, -16, 0, -18, 0, 16, 30, 0, 26, 0, 84, 12, 62, -28, 0, 34, -8, -8, 0, 0, 70, 0, 44, -22, 0, 8, -32, -4, 0, 0, 48, 0, 18, 0, 0, 0, 82, 48, 0, -20, 16, 32, 0, 1, 0, -18, 28, 10, 84, 0, -56, 1, -30, 12, 0, 52, 0, 0, 68, 0, 20, 0, 40, 0, 0, -6, 24, 12, 6, 0, 0, -4, -54, -60, 0, 14, 0, 0, 82, 0, 28, -12, 48, 6, 0, -8, 80, 8, -44, 0, 48, 0, -24, -20, 0, 0, 76, -14, 0, 0, -52, 46, -14, -16, 0, 0, -8, 8, -32, 0, 28, -18, 0, 54, 0, -8, 38, 8, -48, 0, -50, 40, -32, 6, 0, 6, 0, 40, -10, 0, 92, 8, -46, 0, 0, 48, 0, -8, 48, 10, 0, -14, 24, 22, 0, 36, -16, 0, 56, 0, -42, -8, 0, 12, 0, -8, -82, 0, -8, 0, 0, 0, -24, -20, 30, -8, 36, -40, 0, 0, -4, 0, 68, -58, 0, 0, 16, 8, 0, 0, 30, 32, 0, 0, 0, 0, 32, 1, 0, 0, 0, 38, -48, -20, 0, 8, 0, 24, 10, 0, 40, 12, 16, 0, 0, 6, -24, 10, 24, 0, 0, 16, -10, -2, 10, 10, -72, 0, -64, 0, 52, 14, 0, 16, 0, -36, 52, 0, 0, 0, 0, 0, -12, 0, 0, -4, 12, 2, 0, 25, 24, -14, -48, -6, 0, 0, 16, 0, -52, 0, 0, 22, 0, -52, 0, 8, -80, 40, -28, 0, -58, -12, 26, -24, -50, -36, 0, 12, -10, 0, -8, 20, 6, 0, 0, 24, 0, 0, -82, 0, 0, 0, 84, -4, 0, 0, -18, 0, 90, 10, -56, -8, -64, 6, 0, 12, -68, -48, -32, 0, 16, 0, 60, -2, 0, -44, -8, -20, 0, 0, -20, -50, 0, -4, 40, 0, -8, 2, -18, 0, 24, -48, 0, 0, 0, 40, -40, 32, -112, 0, 72, -11, -30, -58, 0, 8, 0, 52, 72, -10, 1, -18, 0, 0, 0, 32, 48, -14, 34, 0, 0, 12, 32, 48, 0, -8, 62, 0, -24, 0, -56, 0, 0, 2, 0, 20, 96, 14, 48, 0, -40, 0, -74, -40, 0, 12, 6, 24, 0, 0, 0, -14, 52, -14, 0, 0, -12, -8, -32, -10, -52, -4, 0, 64, 0, -4, -30, 80, -86, 0, 24, 36, -88, 8, 0, 0, 0, 16, 22, 0, -80, 0, -20, 0, -50, -48, 86, -16, 0, 0, 0, 6, 38, -24, 0, 12, 0, 0, 26, 0, 8, -18, 28, 20, 0, 2, 0, 0, -4, -20, 112, 0, -4, -9, 0, 8, 8, 12, 0, 0, 24, -36, 62, -16, 0, 0, 0, -8, -8, 0, 52, -26, 0, 12, -20, 0, 40, 0, 26, 0, 30, 22, -80, 48, 0, 0, 0, 27, -16, 0, -14, 44, -20, 0, 0, 18, -16, -28, -76, 0, 0, 0, 30, -11, 0, 4, 32, 0, 0, 0, -56, -50, 8, 6, 0, -68, 48, 0, -48, 0, -14, 0, 0, 0, 80, 18, -38, -16, 0, 0, -32, 20, -28, -8, 0, 0, -100, 2, 54, 0, 88, -14, 0, -16, 0, 60, -2, -32, 0, 0, -66, 32, 84, -22, 0, 48, 0, 8, -49, 0, -4, 0, -24, 0, 0, -2, -6, -2, -42, 0, 0, -4, 8, -14, -90, 22, 60, 0, -16, 0, 0, 8, 62, 8, 0, 20, -34, 0, 0, 0, 76, 0, 52, 12, 0, -32, -56, 6, 0, 0, -54, 0, 24, -4, 0, 0, -82, -30, -36, 0, -52, 8, 0, 12, 0, -74, 0, 48, 0, 0, -8, -32, -9, -72, 0, -20, 0, -28, 44, 0, 0, 28, 62, 0, 0, -32, -8, -19, 40, 0, 0, -52, 16, 8, 0, -12, 42, 0, 48, -20, 96, 2, -8, 14, 0, -54, 0, -8, -78, 0, 24, 0, -8, 0, 0, 13, -64, -74, 0, 0, 32, 8, 96, 0, -10, 0, -12, -24, 40, 0, 44, -22, 0, -14, 0, -12, 24, 36, -24, 0, 0, -8, 16, 4, 0, -40, 0, 16, 8, 20, -12, 2, 82, 0, 0, 12, 38, -8, 0, 0, 0, -6, -30, 0, 0, 68, 0, 0, 18, 0, 92, -32, -24, -32, 0, 0, 28, 10, -8, 0, 0, 0, 0, 26, 0, -48, -32, -4, 0, 0, -40, -2, 28, -60, 0, 0, -88, 66, 40, 0]}