# Stored data for newform 4158.2.a.q, downloaded from the LMFDB on 04 July 2026.
{"Nk2": 16632, "analytic_conductor": 33.201797160448386, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, -1], [11, 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": [4158, 1, [1541, 2971, 1135], [1, 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": [[5, [3, 1]], [13, [-5, 1]], [17, [-3, 1]], [19, [4, 1]], [41, [3, 1]]], "hecke_orbit": 17, "hecke_orbit_code": 72057594071486526, "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": true, "label": "4158.2.a.q", "level": 4158, "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, 3, 7, 11], "level_radical": 462, "minimal_twist": "4158.2.a.m", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\\cdots", "related_objects": ["EllipticCurve/Q/4158/q"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4158.2.a", "trace_display": [1, 0, -3, 1], "trace_hash": 928490911406650868, "trace_moments": [{"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "1.015", "prec": 17}, {"__RealLiteral__": 0, "data": "0.089", "prec": 17}, {"__RealLiteral__": 0, "data": "1.980", "prec": 17}, {"__RealLiteral__": 0, "data": "0.316", "prec": 17}, {"__RealLiteral__": 0, "data": "4.796", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.015", "prec": 17}, "traces": [0, 1, 1, 0, 1, -3, 0, 1, 1, 0, -3, -1, 0, 5, 1, 0, 1, 3, 0, -4, -3, 0, -1, -3, 0, 4, 5, 0, 1, 0, 0, 8, 1, 0, 3, -3, 0, -4, -4, 0, -3, -3, 0, 2, -1, 0, -3, 0, 0, 1, 4, 0, 5, 3, 0, 3, 1, 0, 0, 0, 0, -1, 8, 0, 1, -15, 0, 11, 3, 0, -3, 0, 0, 14, -4, 0, -4, -1, 0, 11, -3, 0, -3, 9, 0, -9, 2, 0, -1, 0, 0, 5, -3, 0, 0, 12, 0, -1, 1, 0, 4, 0, 0, 2, 5, 0, 3, 9, 0, 14, 3, 0, 1, -12, 0, 9, 0, 0, 0, 3, 0, 1, -1, 0, 8, 3, 0, -13, 1, 0, -15, 21, 0, -4, 11, 0, 3, -6, 0, 2, -3, 0, 0, -5, 0, 0, 14, 0, -4, 12, 0, -19, -4, 0, -1, -24, 0, 14, 11, 0, -3, -3, 0, 11, -3, 0, 9, 12, 0, 12, -9, 0, 2, -18, 0, 4, -1, 0, 0, 24, 0, 20, 5, 0, -3, 12, 0, -3, 0, 0, 12, -15, 0, -4, -1, 0, 1, 0, 0, 20, 4, 0, 0, 0, 0, 9, 2, 0, 5, 4, 0, -22, 3, 0, 9, -6, 0, 8, 14, 0, 3, 15, 0, -10, 1, 0, -12, 24, 0, 8, 9, 0, 0, -3, 0, 0, 0, 0, 3, -18, 0, -10, 1, 0, -1, -3, 0, -20, 8, 0, 3, 30, 0, 3, -13, 0, 1, 6, 0, -4, -15, 0, 21, -18, 0, -9, -4, 0, 11, -15, 0, 11, 3, 0, -6, -4, 0, 5, 2, 0, -3, -15, 0, -16, 0, 0, -5, -3, 0, -8, 0, 0, 14, -12, 0, 0, -4, 0, 12, -15, 0, 2, -19, 0, -4, 3, 0, -28, -1, 0, -24, -3, 0, -25, 14, 0, 11, 6, 0, 0, -3, 0, -3, -12, 0, 20, 11, 0, -3, 0, 0, -4, 9, 0, 12, -33, 0, 2, 12, 0, -9, -8, 0, 1, 2, 0, -18, -12, 0, -10, 4, 0, -1, 0, 0, 0, 0, 0, 24, -12, 0, -3, 20, 0, 5, -42, 0, 14, -3, 0, 12, 3, 0, 11, -3, 0, 0, 0, 0, 8, 12, 0, -15, 24, 0, 3, -4, 0, -1, -30, 0, -9, 1, 0, 0, -33, 0, 38, 20, 0, 4, 6, 0, 40, 0, 0, 0, 4, 0, 26, 9, 0, 2, 0, 0, -27, 5, 0, 4, 36, 0, 20, -22, 0, 3, 12, 0, -1, 9, 0, -6, -24, 0, 29, 8, 0, 14, 12, 0, -1, 3, 0, 15, -24, 0, 0, -10, 0, 1, -24, 0, 3, -12, 0, 24, -15, 0, -34, 8, 0, 9, 18, 0, -4, 0, 0, -3, -18, 0, 11, 0, 0, 0, -2, 0, -16, 3, 0, -18, -18, 0, -20, -10, 0, 1, 3, 0, 2, -1, 0, -3, -24, 0, 0, -20, 0, 8, 0, 0, -7, 3, 0, 30, -6, 0, 0, 3, 0, -13, -27, 0, 14, 1, 0, 6, -6, 0, 0, -4, 0, -15, 0, 0, -16, 21, 0, -18, 24, 0, -14, -9, 0, -4, -15, 0, -27, 11, 0, -15, -1, 0, -13, 11, 0, 3, -42, 0, 26, -6, 0, -4, 0, 0, 11, 5, 0, 2, -18, 0, 10, -3, 0, -15, -45, 0, 36, -16, 0, 0, 33, 0, -4, -5, 0, -3, -12, 0, -34, -8, 0, 0, 9, 0, -3, 14, 0, -12, -18, 0, -32, 0, 0, -4, 18, 0, -9, 12, 0, -15, 39, 0, 8, 2, 0, -19, -3, 0, -19, -4, 0, 3, 0, 0, 29, -28, 0, -1, -6, 0, -16, -24, 0, -3, 0, 0, -29, -25, 0, 14, -12, 0, 20, 11, 0, 6, 39, 0, 5, 0, 0, -3, 12, 0, -16, -3, 0, -12, -24, 0, 0, 20, 0, 11, -27, 0, -63, -3, 0, 0, 39, 0, 8, -4, 0, 9, 12, 0, 0, 12, 0, -33, 1, 0, -22, 2, 0, 12, 12, 0, -1, -9, 0, -8, 24, 0, 18, 1, 0, 2, 15, 0, 5, -18, 0, -12, -6, 0, -9, -10, 0, 4, 48, 0, 16, -1, 0, 0, 0, 0, -46, 0, 0, 0, -24, 0, 15, 24, 0, -12, 39, 0, 2, -3, 0, 20, 0, 0, -28, 5, 0, -42, 6, 0, -43, 14, 0, -3, -11, 0, -16, 12, 0, 3, 54, 0, -36, 11, 0, -3, 9, 0, 14, 0, 0, 0, 57, 0, -16, 8, 0, 12, 30, 0, 14, -15, 0, 24, 0, 0, 20, 3, 0, -4, -6, 0, 32, -1, 0, -30, 12, 0, 0, -9, 0, 1, -42, 0, 14, 0, 0, -33, -12, 0, -5, 38, 0, 20, -39, 0, 0, 4, 0, 6, -14, 0, 9, 40, 0, 0, -6, 0, -16, 0, 0, 4, -33, 0, -8, 26, 0, 9, 30, 0, 32, 2, 0, 0, 27, 0, 32, -27, 0, 5, 3, 0, -36, 4, 0, 36, 48, 0, -29, 20, 0, -22, -36, 0, 1, 3, 0, 12, 12, 0, 2, -1, 0, 9, -33, 0, -31, -6, 0, -24, 21, 0, 54, 29, 0, 8, -11, 0, 55, 14, 0, 12, 3, 0, -13, -1, 0, 3, 54, 0, -28, 15, 0, -24, 24, 0, -13, 0, 0, -10, 0, 0, -72, 1, 0, -24, 0, 0, 9, 3, 0, -12, -60, 0, 23, 24, 0, -15, -3, 0, -9, -34, 0, 8, 21, 0, 5, 9, 0, 18, 0, 0, -16, -4, 0, 0, -36, 0, -4, -3, 0, -18, 9, 0, 2, 11, 0, 0, -18, 0, 9, 0, 0, -2, 18, 0, 70, -16, 0, 3, -27, 0, 45, -18, 0, -18, -6, 0, 33, -20, 0, -10, 12, 0, 41, 1, 0, 3, 36, 0, 2, 2, 0, -1, 6, 0, 0, -3, 0, -24, -9, 0, 0, 0, 0, -20, -6, 0, -4, 8, 0, 0, -60, 0, -7, -7, 0, 3, -5, 0, 0, 30, 0, -6, -12, 0, -58, 0, 0, 3, 18, 0, 0, -13, 0, -27, 12, 0, -22, 14, 0, 1, -12, 0, 55, 6, 0, -6, 36, 0, -34, 0, 0, -4, -3, 0, -22, -15, 0, 0, 12, 0, -12, -16, 0, 21, -48, 0, -10, -18, 0, 24, 66, 0, -19, -14, 0, -9, -6, 0, -7, -4, 0, -15, 1, 0, -46, -27, 0, 11, 0, 0, 8, -15, 0, -1, 45, 0, 0, -13, 0, 11, -24, 0, 50, 3, 0, -42, -45, 0, -22, 26, 0, -6, 18, 0, 14, -4, 0, 0, 27, 0, -45, 11, 0, 5, -30, 0, 0, 2, 0, -18, 30, 0, 38, 10, 0, -3, 0, 0, -4, -15, 0, -45, -3, 0, -58, 36, 0, -16, -2, 0, -72, 0, 0, 33, 33, 0, 11, -4, 0, -5, -24, 0, -32, -3, 0, -12, -18, 0, -19, -34, 0, -8, 0, 0, 4, 0, 0, 9, -3, 0, 9, -3, 0, 14, 12, 0, -25, -12, 0, -18, 0, 0, -9, -32, 0, 0, -27, 0, 12, -4, 0, 18, 63, 0, 0, -9, 0, 12, -42, 0, 54, -15, 0, 39, -14, 0, -22, 8, 0, 2, 30, 0, 0, -19, 0, -3, -18, 0, -28, -19, 0, -4, 9, 0, -9, 3, 0, 0, -36, 0, 4, 29, 0, -28, 54, 0, -40, -1, 0, -6, 60, 0, -40, -16, 0, -24, 42, 0, 12, -3, 0, 0, 0, 0, 44, -29, 0, -25, 24, 0, -90, 14, 0, -12, -6, 0, -5, 20, 0, 11, -9, 0, 20, 6, 0, 39, -24, 0, -44, 5, 0, 0, 3, 0, -34, -3, 0, 12, 27, 0, -18, -16, 0, -3, 3, 0, 23, -12, 0, -24, 12, 0, -22, 0, 0, 20, -6, 0, 62, 11, 0, -27, -60, 0, -3, -63, 0, -3, 0, 0, 54, 0, 0, 39, 6, 0, 38, 8, 0, -4, 12, 0, 5, 9, 0, 12, -1, 0, 16, 0, 0, 12, -15, 0, 10, -33, 0, 1, 33, 0, 45, -22, 0, 2, 0, 0, -4, 12, 0, 12, -33, 0, 0, -1, 0, -9, -18, 0, 0, -8, 0, 24, 51, 0, -21, 18, 0, 1, -27, 0, -3, 2, 0, 15, 0, 0, -55, 5, 0, -18, -15, 0, -56, -12, 0, -6, 45, 0, 20, -9, 0, -10, 13, 0, -40, 4, 0, 48, 3, 0, 45, 16, 0, -1, -12, 0, 27, 0, 0, 0, 48, 0, 70, -46, 0, 0, 0, 0, 2, 0, 0, -24, -51, 0, -10, 15, 0, 24, -30, 0, 9, -12, 0, 39, 9, 0, -21, 2, 0, -3, 24, 0, 56, 20, 0, 0, -3, 0, 8, -28, 0, 5, 0, 0, -70, -42, 0, 6, 4, 0, 36, -43, 0, 14, -60, 0, -40, -3, 0, -11, 0, 0, -22, -16, 0, 12, 51, 0, -55, 3, 0, 54, 30, 0, -1, -36, 0, 11, 24, 0, 45, -3, 0, 9, 54, 0, -44, 14, 0, 0, -6, 0, 6, 0, 0, 57, -21, 0, 0, -16, 0, 8, 12, 0, 8, 12, 0, 30, -42, 0, -4, 14, 0, -15, -2, 0, -46, 24, 0, 0, 84, 0, 0, 20, 0, 3, -33, 0, 68, -4, 0, -6, 15, 0, -34, 32, 0, -1, -69, 0, 9, -30, 0, 12, 6, 0, -10, 0, 0, -9, 75, 0, 56, 1, 0, -42, 36, 0, 5, 14, 0, 0, -36, 0, 50, -33, 0, -12, -30, 0, -18, -5, 0, 38, 24, 0, -8, 20, 0, -39, 0, 0, 53, 0, 0, 4, 75, 0, 8, 6, 0, -14, -24, 0, -49, 9, 0, 40, -24, 0, 36, 0, 0, -6, -63, 0, -22, -16, 0, 0, 15, 0, 32, 4, 0, -33, -3, 0, 0, -8, 0, 26, -33, 0, -12, 9, 0, 30, 24, 0, 0, 32, 0, 2, -3, 0, -65, 0, 0, 27, 12, 0, 2, 32, 0, -27, 19, 0, -37, 5, 0, 3, 21, 0, 65, -36, 0, 4, -18, 0, 44, 36, 0, 48, -42, 0, -32, -29, 0, 20, -6, 0, -10, -22, 0, -36, 0, 0, 41, 1, 0, 3, 24, 0, 71, 12, 0, 12, 105, 0, 24, 2, 0, -1, 33, 0, 0, 9, 0, -33, -3, 0, 0, -31, 0, -6, -48, 0, 68, -24, 0, 21, -14, 0, -20, 54, 0, 29, 54, 0, 36, 8, 0, -11, 0, 0, -10, 55, 0, 14, 30, 0, -7, 12, 0, 3, 6, 0, 26, -13, 0, -1, 30, 0, 44, 3, 0, 54, -6, 0, 0, -28, 0, 15, 0, 0, 3, -24, 0, 24, 0, 0, 50, -13, 0, 0, -30, 0, 38, -10, 0, 0, -30, 0, 77, -72, 0, 1, -11, 0, 36, -24, 0, 0, 6, 0, -52, 9, 0, 3, 9, 0, 10, -12, 0, -60, 81, 0, -4, 23, 0, 24, -33, 0, 27, -15, 0, -3, -6, 0, 56, -9, 0, -34, 0, 0, -40, 8, 0, 21, -42, 0, -12, 5, 0, 9, -18, 0, 4, 18, 0, 0, 0, 0, -39, -16, 0, -4, 42, 0, -9, 0, 0, -36, -12, 0, -43, -4, 0, -3, -33, 0, 32, -18, 0, 9, -60, 0, -46, 2, 0, 11, -6, 0, -22, 0, 0, -18, -15, 0, 0, 9, 0, 0, -18, 0, -8, -2, 0, 18, -24, 0, 11, 70, 0, -16, 75, 0, 18, 3, 0, -27, 48, 0, -27, 45, 0, -18, 6, 0, -72, -18, 0, -6, 0, 0, -36, 33, 0, -20, -4, 0, 0, -10, 0, 12, 75, 0, 71, 41, 0, 1, 60, 0, 5, 3, 0, 36, 0, 0, 90, 2, 0, 2, -36, 0, 56, -1, 0, 6, 27, 0, -8, 0, 0, -3, -12, 0, -95, -24, 0, -9, -15, 0, -24, 0, 0, 0, -39, 0, 44, -20, 0, -6, -12, 0, -16, -4, 0, 8, -114, 0, 2, 0, 0, -60, -20, 0, 14, -7, 0, -7, 30, 0, -16, 3, 0, -5, -54, 0, -18, 0, 0, 30, -3, 0, -25, -6, 0, -12, -120, 0, -49, -58, 0, 0, 0, 0, -8, 3, 0, 18, 18, 0, 68, 0, 0, -13, -36, 0, -12, -27, 0, 12, 75, 0, 70, -22, 0, 14, -78, 0, 0, 1, 0, -12, -12, 0, -58, 55, 0, 6, 3, 0, 0, -6, 0, 36, -48, 0, 0, -34, 0, 0, 81, 0, -56, -4, 0, -3, 36, 0, 88, -22, 0, -15, -81, 0, -4, 0, 0, 12, 48, 0, 80, -12, 0, -16, -15, 0, -108, 21, 0, -48, 78, 0, 15, -10, 0, -18, -60, 0, 2, 24, 0, 66, -84, 0, -67, -19, 0, -14, 0, 0, 55, -9, 0, -6, 4, 0, 9, -7, 0, -4, 75, 0, 56, -15, 0, 1, 3, 0, -61, -46, 0, -27, 18, 0, 2, 11, 0, 0, 48, 0, -28, 8, 0, -15, 63, 0, 72, -1, 0, 45, -39, 0, -43, 0, 0, -13, -87, 0, 0, 11, 0, -24, 60, 0, -9, 50, 0, 3, -3, 0, 11, -42, 0, -45, 0, 0, -36, -22, 0, 26, -20, 0, -25, -6, 0, 18, 3, 0, -5, 14, 0, -4, 0, 0, -7, 0, 0, 27, 54, 0, -47, -45, 0, 11, 54, 0, 72, 5, 0, -30, 6, 0, 14, 0, 0, 2, 0, 0, 63, -18, 0, 30, 3, 0, 0, 38, 0, 10, 3, 0, -55, -3, 0, 0, 45, 0, 72, -4, 0, -15, -90, 0, 2, -45, 0, -3, -9, 0, 4, -58, 0, 36, -12, 0, 112, -16, 0, -2, 24, 0, -70, -72, 0, 0, -21, 0, 20, 33, 0, 33, 6, 0, 47, 11, 0, -4, 102, 0, 59, -5, 0, -24, 0, 0, -10, -32, 0, -3, -30, 0, -4, -12, 0, -18, 0, 0, -54, -19, 0, -34, 48, 0, -64, -8, 0, 0, 12, 0, -4, 4, 0, 0, 22, 0, 0, 9, 0, -3, 120, 0, -18, 9, 0, -3, -45, 0, 54, 14, 0, 12, -15, 0, 80, -25, 0, -12, -33, 0, 17, -18, 0, 0, -54, 0, 100, -9, 0, -32, 69, 0, 2, 0, 0, -27, 6, 0, 6, 12, 0, -4, -6, 0, 14, 18, 0, 63, -12, 0, 38, 0, 0, -9, -9, 0, -73, 12, 0, -42, -8, 0, 38, 54, 0, -15, 21, 0, 54, 39, 0, -14, 27, 0, 1, -22, 0, 8, 60, 0, 0, 2, 0, 30, -63, 0, 52, 0, 0, -19, -63, 0, 0, -3, 0, -18, -57, 0, -4, -28, 0, -19, -12, 0, -15, -4, 0, 9, -6, 0, 62, -9, 0, 3, -45, 0, -10, 0, 0, -36, 27, 0, 88, 4, 0, 29, 10, 0, 72, -28, 0, 54, -15, 0, -27, -40, 0, -1, 0, 0, -55, -6, 0, 60, 0, 0, -55, -40, 0, -16, 72, 0, -44, -24, 0, 42, -75, 0, 0, 12, 0, -3, -84, 0, 0, 0, 0, 0, 21, 0, -24, 44, 0, -29, 3, 0, -7, -25, 0, 24, -42, 0, -20, -90, 0, 14, -12, 0, 18, -12, 0, -6, -8, 0, -52, -5, 0, 20, 0, 0, -3, 11, 0, -9, 72, 0, 36, 20, 0, 6, 0, 0, -76, 39, 0, -24, 66, 0, 81, -44, 0, 5, -30, 0, -67, 0, 0, 3, -42, 0, 32, -34, 0, -3, 0, 0, 3, 12, 0, 27, -57, 0, 14, -18, 0, -16, 72, 0, 8, -3, 0, 3, -78, 0, 0, 23, 0, -12, 0, 0, 100, -24, 0, 12, 66, 0, 20, -22, 0, 0, 3, 0, 36, 20, 0, -6, 24, 0, 0, 62, 0, 11, -78, 0, 11, -27, 0, -60, 48, 0, 26, -3, 0, -63, 66, 0, -2, -3, 0, 0, 0, 0, 18, 54, 0, 0, -60, 0, -72, 39, 0, 6, 0, 0, -8, 38, 0, 8, 42, 0, 56, -4, 0, 12, 10, 0, 8, 5, 0, 9, 54, 0, 86, 12, 0, -1, -51, 0, 45, 16, 0, 0, 42, 0, -28, 12, 0, -15, 36, 0, 86, 10, 0, -33, 24, 0, -88, 1, 0, 33, 57, 0, 62, 45, 0, -22, 75, 0, 3, 2, 0, 0, 30, 0, -56, -4, 0, 12, 39, 0, -43, 12, 0, -33, -24, 0, -4, 0, 0, -1, 20, 0, -7, -9, 0, -18, -30, 0, 56, 0, 0, -8, 0, 0, -28, 24, 0, 51, -78, 0, -9, -21, 0, 18, -24, 0, -110, 1, 0, -27, -33, 0, -13, -3, 0, 2, -102, 0, 0, 15, 0, 0, 0, 0, -30, -55, 0, 5, -33, 0, -49, -18, 0, -15, 33, 0, 0, -56, 0, -12, 54, 0, 38, -6, 0, 45, -3, 0, 54, 20, 0, -9, -72, 0, 32, -10, 0, 13, -30, 0, -28, -40, 0, 4, -90, 0, -28, 48, 0, 3, 6, 0, -44, 45, 0, 16, 0, 0, 135, -1, 0, -12, -30, 0, 40, 27, 0, 0, -48, 0, -6, 0, 0, 48, -48, 0, -28, 70, 0, -46, -30, 0, 36, 0, 0, 0, -90, 0, -99, 2, 0, 0, 4, 0, 8, -24, 0, -51, 12, 0, 20, -10, 0, 15, 99, 0, 26, 24, 0, -30, 0, 0, 76, 9, 0, -12, 36, 0, -9, 39, 0, 9, -24, 0, 22, -21, 0, 2, 102, 0, 74, -3, 0, 24, 0, 0, 18, 56, 0, 20, 36, 0, -50, 0, 0, -3, -30, 0, -27, 8, 0, -28, 9, 0, 0, 5, 0, 0, 9, 0, -73, -70, 0, -42, 39, 0, -44, 6, 0, 4, -3, 0, 0, 36, 0, -43, 36, 0, 54, 14, 0, -60, 57, 0, -54, -40, 0, -3, 96, 0, 20, -11, 0, 0, 120, 0, 47, -22, 0, -16, 78, 0, 15, 12, 0, 51, -6, 0, -54, -55, 0, 3, -63, 0, -79, 54, 0, 30, 12, 0, 40, -1, 0, -36, -11, 0, -56, 11, 0, 24, 0, 0, -1, 45, 0, -3, -42, 0, -117, 9, 0, 54, -36, 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, 0, 1, -3, 0, 1, 1, 0, -3, -1, 0, 5, 1, 0, 1, 3, 0, -4, -3, 0, -1, -3, 0, 4, 5, 0, 1, 0, 0, 8, 1, 0, 3, -3, 0, -4, -4, 0, -3, -3, 0, 2, -1, 0, -3, 0, 0, 1, 4, 0, 5, 3, 0, 3, 1, 0, 0, 0, 0, -1, 8, 0, 1, -15, 0, 11, 3, 0, -3, 0, 0, 14, -4, 0, -4, -1, 0, 11, -3, 0, -3, 9, 0, -9, 2, 0, -1, 0, 0, 5, -3, 0, 0, 12, 0, -1, 1, 0, 4, 0, 0, 2, 5, 0, 3, 9, 0, 14, 3, 0, 1, -12, 0, 9, 0, 0, 0, 3, 0, 1, -1, 0, 8, 3, 0, -13, 1, 0, -15, 21, 0, -4, 11, 0, 3, -6, 0, 2, -3, 0, 0, -5, 0, 0, 14, 0, -4, 12, 0, -19, -4, 0, -1, -24, 0, 14, 11, 0, -3, -3, 0, 11, -3, 0, 9, 12, 0, 12, -9, 0, 2, -18, 0, 4, -1, 0, 0, 24, 0, 20, 5, 0, -3, 12, 0, -3, 0, 0, 12, -15, 0, -4, -1, 0, 1, 0, 0, 20, 4, 0, 0, 0, 0, 9, 2, 0, 5, 4, 0, -22, 3, 0, 9, -6, 0, 8, 14, 0, 3, 15, 0, -10, 1, 0, -12, 24, 0, 8, 9, 0, 0, -3, 0, 0, 0, 0, 3, -18, 0, -10, 1, 0, -1, -3, 0, -20, 8, 0, 3, 30, 0, 3, -13, 0, 1, 6, 0, -4, -15, 0, 21, -18, 0, -9, -4, 0, 11, -15, 0, 11, 3, 0, -6, -4, 0, 5, 2, 0, -3, -15, 0, -16, 0, 0, -5, -3, 0, -8, 0, 0, 14, -12, 0, 0, -4, 0, 12, -15, 0, 2, -19, 0, -4, 3, 0, -28, -1, 0, -24, -3, 0, -25, 14, 0, 11, 6, 0, 0, -3, 0, -3, -12, 0, 20, 11, 0, -3, 0, 0, -4, 9, 0, 12, -33, 0, 2, 12, 0, -9, -8, 0, 1, 2, 0, -18, -12, 0, -10, 4, 0, -1, 0, 0, 0, 0, 0, 24, -12, 0, -3, 20, 0, 5, -42, 0, 14, -3, 0, 12, 3, 0, 11, -3, 0, 0, 0, 0, 8, 12, 0, -15, 24, 0, 3, -4, 0, -1, -30, 0, -9, 1, 0, 0, -33, 0, 38, 20, 0, 4, 6, 0, 40, 0, 0, 0, 4, 0, 26, 9, 0, 2, 0, 0, -27, 5, 0, 4, 36, 0, 20, -22, 0, 3, 12, 0, -1, 9, 0, -6, -24, 0, 29, 8, 0, 14, 12, 0, -1, 3, 0, 15, -24, 0, 0, -10, 0, 1, -24, 0, 3, -12, 0, 24, -15, 0, -34, 8, 0, 9, 18, 0, -4, 0, 0, -3, -18, 0, 11, 0, 0, 0, -2, 0, -16, 3, 0, -18, -18, 0, -20, -10, 0, 1, 3, 0, 2, -1, 0, -3, -24, 0, 0, -20, 0, 8, 0, 0, -7, 3, 0, 30, -6, 0, 0, 3, 0, -13, -27, 0, 14, 1, 0, 6, -6, 0, 0, -4, 0, -15, 0, 0, -16, 21, 0, -18, 24, 0, -14, -9, 0, -4, -15, 0, -27, 11, 0, -15, -1, 0, -13, 11, 0, 3, -42, 0, 26, -6, 0, -4, 0, 0, 11, 5, 0, 2, -18, 0, 10, -3, 0, -15, -45, 0, 36, -16, 0, 0, 33, 0, -4, -5, 0, -3, -12, 0, -34, -8, 0, 0, 9, 0, -3, 14, 0, -12, -18, 0, -32, 0, 0, -4, 18, 0, -9, 12, 0, -15, 39, 0, 8, 2, 0, -19, -3, 0, -19, -4, 0, 3, 0, 0, 29, -28, 0, -1, -6, 0, -16, -24, 0, -3, 0, 0, -29, -25, 0, 14, -12, 0, 20, 11, 0, 6, 39, 0, 5, 0, 0, -3, 12, 0, -16, -3, 0, -12, -24, 0, 0, 20, 0, 11, -27, 0, -63, -3, 0, 0, 39, 0, 8, -4, 0, 9, 12, 0, 0, 12, 0, -33, 1, 0, -22, 2, 0, 12, 12, 0, -1, -9, 0, -8, 24, 0, 18, 1, 0, 2, 15, 0, 5, -18, 0, -12, -6, 0, -9, -10, 0, 4, 48, 0, 16, -1, 0, 0, 0, 0, -46, 0, 0, 0, -24, 0, 15, 24, 0, -12, 39, 0, 2, -3, 0, 20, 0, 0, -28, 5, 0, -42, 6, 0, -43, 14, 0, -3, -11, 0, -16, 12, 0, 3, 54, 0, -36, 11, 0, -3, 9, 0, 14, 0, 0, 0, 57, 0, -16, 8, 0, 12, 30, 0, 14, -15, 0, 24, 0, 0, 20, 3, 0, -4, -6, 0, 32, -1, 0, -30, 12, 0, 0, -9, 0, 1, -42, 0, 14, 0, 0, -33, -12, 0, -5, 38, 0, 20, -39, 0, 0, 4, 0, 6, -14, 0, 9, 40, 0, 0, -6, 0, -16, 0, 0, 4, -33, 0, -8, 26, 0, 9, 30, 0, 32, 2, 0, 0, 27, 0, 32, -27, 0, 5, 3, 0, -36, 4, 0, 36, 48, 0, -29, 20, 0, -22, -36, 0, 1, 3, 0, 12, 12, 0, 2, -1, 0, 9, -33, 0, -31, -6, 0, -24, 21, 0, 54, 29, 0, 8, -11, 0, 55, 14, 0, 12, 3, 0, -13, -1, 0, 3, 54, 0, -28, 15, 0, -24, 24, 0, -13, 0, 0, -10, 0, 0, -72, 1, 0, -24, 0, 0, 9, 3, 0, -12, -60, 0, 23, 24, 0, -15, -3, 0, -9, -34, 0, 8, 21, 0, 5, 9, 0, 18, 0, 0, -16, -4, 0, 0, -36, 0, -4, -3, 0, -18, 9, 0, 2, 11, 0, 0, -18, 0, 9, 0, 0, -2, 18, 0, 70, -16, 0, 3, -27, 0, 45, -18, 0, -18, -6, 0, 33, -20, 0, -10, 12, 0, 41, 1, 0, 3, 36, 0, 2, 2, 0, -1, 6, 0, 0, -3, 0, -24, -9, 0, 0, 0, 0, -20, -6, 0, -4, 8, 0, 0, -60, 0, -7, -7, 0, 3, -5, 0, 0, 30, 0, -6, -12, 0, -58, 0, 0, 3, 18, 0, 0, -13, 0, -27, 12, 0, -22, 14, 0, 1, -12, 0, 55, 6, 0, -6, 36, 0, -34, 0, 0, -4, -3, 0, -22, -15, 0, 0, 12, 0, -12, -16, 0, 21, -48, 0, -10, -18, 0, 24, 66, 0, -19, -14, 0, -9, -6, 0, -7, -4, 0, -15, 1, 0, -46, -27, 0, 11, 0, 0, 8, -15, 0, -1, 45, 0, 0, -13, 0, 11, -24, 0, 50, 3, 0, -42, -45, 0, -22, 26, 0, -6, 18, 0, 14, -4, 0, 0, 27, 0, -45, 11, 0, 5, -30, 0, 0, 2, 0, -18, 30, 0, 38, 10, 0, -3, 0, 0, -4, -15, 0, -45, -3, 0, -58, 36, 0, -16, -2, 0, -72, 0, 0, 33, 33, 0, 11, -4, 0, -5, -24, 0, -32, -3, 0, -12, -18, 0, -19, -34, 0, -8, 0, 0, 4, 0, 0, 9, -3, 0, 9, -3, 0, 14, 12, 0, -25, -12, 0, -18, 0, 0, -9, -32, 0, 0, -27, 0, 12, -4, 0, 18, 63, 0, 0, -9, 0, 12, -42, 0, 54, -15, 0, 39, -14, 0, -22, 8, 0, 2, 30, 0, 0, -19, 0, -3, -18, 0, -28, -19, 0, -4, 9, 0, -9, 3, 0, 0, -36, 0, 4, 29, 0, -28, 54, 0, -40, -1, 0, -6, 60, 0, -40, -16, 0, -24, 42, 0, 12, -3, 0, 0, 0, 0, 44, -29, 0, -25, 24, 0, -90, 14, 0, -12, -6, 0, -5, 20, 0, 11, -9, 0, 20, 6, 0, 39, -24, 0, -44, 5, 0, 0, 3, 0, -34, -3, 0, 12, 27, 0, -18, -16, 0, -3, 3, 0, 23, -12, 0, -24, 12, 0, -22, 0, 0, 20, -6, 0, 62, 11, 0, -27, -60, 0, -3, -63, 0, -3, 0, 0, 54, 0, 0, 39, 6, 0, 38, 8, 0, -4, 12, 0, 5, 9, 0, 12, -1, 0, 16, 0, 0, 12, -15, 0, 10, -33, 0, 1, 33, 0, 45, -22, 0, 2, 0, 0, -4, 12, 0, 12, -33, 0, 0, -1, 0, -9, -18, 0, 0, -8, 0, 24, 51, 0, -21, 18, 0, 1, -27, 0, -3, 2, 0, 15, 0, 0, -55, 5, 0, -18, -15, 0, -56, -12, 0, -6, 45, 0, 20, -9, 0, -10, 13, 0, -40, 4, 0, 48, 3, 0, 45, 16, 0, -1, -12, 0, 27, 0, 0, 0, 48, 0, 70, -46, 0, 0, 0, 0, 2, 0, 0, -24, -51, 0, -10, 15, 0, 24, -30, 0, 9, -12, 0, 39, 9, 0, -21, 2, 0, -3, 24, 0, 56, 20, 0, 0, -3, 0, 8, -28, 0, 5, 0, 0, -70, -42, 0, 6, 4, 0, 36, -43, 0, 14, -60, 0, -40, -3, 0, -11, 0, 0, -22, -16, 0, 12, 51, 0, -55, 3, 0, 54, 30, 0, -1, -36, 0, 11, 24, 0, 45, -3, 0, 9, 54, 0, -44, 14, 0, 0, -6, 0, 6, 0, 0, 57, -21, 0, 0, -16, 0, 8, 12, 0, 8, 12, 0, 30, -42, 0, -4, 14, 0, -15, -2, 0, -46, 24, 0, 0, 84, 0, 0, 20, 0, 3, -33, 0, 68, -4, 0, -6, 15, 0, -34, 32, 0, -1, -69, 0, 9, -30, 0, 12, 6, 0, -10, 0, 0, -9, 75, 0, 56, 1, 0, -42, 36, 0, 5, 14, 0, 0, -36, 0, 50, -33, 0, -12, -30, 0, -18, -5, 0, 38, 24, 0, -8, 20, 0, -39, 0, 0, 53, 0, 0, 4, 75, 0, 8, 6, 0, -14, -24, 0, -49, 9, 0, 40, -24, 0, 36, 0, 0, -6, -63, 0, -22, -16, 0, 0, 15, 0, 32, 4, 0, -33, -3, 0, 0, -8, 0, 26, -33, 0, -12, 9, 0, 30, 24, 0, 0, 32, 0, 2, -3, 0, -65, 0, 0, 27, 12, 0, 2, 32, 0, -27, 19, 0, -37, 5, 0, 3, 21, 0, 65, -36, 0, 4, -18, 0, 44, 36, 0, 48, -42, 0, -32, -29, 0, 20, -6, 0, -10, -22, 0, -36, 0, 0, 41, 1, 0, 3, 24, 0, 71, 12, 0, 12, 105, 0, 24, 2, 0, -1, 33, 0, 0, 9, 0, -33, -3, 0, 0, -31, 0, -6, -48, 0, 68, -24, 0, 21, -14, 0, -20, 54, 0, 29, 54, 0, 36, 8, 0, -11, 0, 0, -10, 55, 0, 14, 30, 0, -7, 12, 0, 3, 6, 0, 26, -13, 0, -1, 30, 0, 44, 3, 0, 54, -6, 0, 0, -28, 0, 15, 0, 0, 3, -24, 0, 24, 0, 0, 50, -13, 0, 0, -30, 0, 38, -10, 0, 0, -30, 0, 77, -72, 0, 1, -11, 0, 36, -24, 0, 0, 6, 0, -52, 9, 0, 3, 9, 0, 10, -12, 0, -60, 81, 0, -4, 23, 0, 24, -33, 0, 27, -15, 0, -3, -6, 0, 56, -9, 0, -34, 0, 0, -40, 8, 0, 21, -42, 0, -12, 5, 0, 9, -18, 0, 4, 18, 0, 0, 0, 0, -39, -16, 0, -4, 42, 0, -9, 0, 0, -36, -12, 0, -43, -4, 0, -3, -33, 0, 32, -18, 0, 9, -60, 0, -46, 2, 0, 11, -6, 0, -22, 0, 0, -18, -15, 0, 0, 9, 0, 0, -18, 0, -8, -2, 0, 18, -24, 0, 11, 70, 0, -16, 75, 0, 18, 3, 0, -27, 48, 0, -27, 45, 0, -18, 6, 0, -72, -18, 0, -6, 0, 0, -36, 33, 0, -20, -4, 0, 0, -10, 0, 12, 75, 0, 71, 41, 0, 1, 60, 0, 5, 3, 0, 36, 0, 0, 90, 2, 0, 2, -36, 0, 56, -1, 0, 6, 27, 0, -8, 0, 0, -3, -12, 0, -95, -24, 0, -9, -15, 0, -24, 0, 0, 0, -39, 0, 44, -20, 0, -6, -12, 0, -16, -4, 0, 8, -114, 0, 2, 0, 0, -60, -20, 0, 14, -7, 0, -7, 30, 0, -16, 3, 0, -5, -54, 0, -18, 0, 0, 30, -3, 0, -25, -6, 0, -12, -120, 0, -49, -58, 0, 0, 0, 0, -8, 3, 0, 18, 18, 0, 68, 0, 0, -13, -36, 0, -12, -27, 0, 12, 75, 0, 70, -22, 0, 14, -78, 0, 0, 1, 0, -12, -12, 0, -58, 55, 0, 6, 3, 0, 0, -6, 0, 36, -48, 0, 0, -34, 0, 0, 81, 0, -56, -4, 0, -3, 36, 0, 88, -22, 0, -15, -81, 0, -4, 0, 0, 12, 48, 0, 80, -12, 0, -16, -15, 0, -108, 21, 0, -48, 78, 0, 15, -10, 0, -18, -60, 0, 2, 24, 0, 66, -84, 0, -67, -19, 0, -14, 0, 0, 55, -9, 0, -6, 4, 0, 9, -7, 0, -4, 75, 0, 56, -15, 0, 1, 3, 0, -61, -46, 0, -27, 18, 0, 2, 11, 0, 0, 48, 0, -28, 8, 0, -15, 63, 0, 72, -1, 0, 45, -39, 0, -43, 0, 0, -13, -87, 0, 0, 11, 0, -24, 60, 0, -9, 50, 0, 3, -3, 0, 11, -42, 0, -45, 0, 0, -36, -22, 0, 26, -20, 0, -25, -6, 0, 18, 3, 0, -5, 14, 0, -4, 0, 0, -7, 0, 0, 27, 54, 0, -47, -45, 0, 11, 54, 0, 72, 5, 0, -30, 6, 0, 14, 0, 0, 2, 0, 0, 63, -18, 0, 30, 3, 0, 0, 38, 0, 10, 3, 0, -55, -3, 0, 0, 45, 0, 72, -4, 0, -15, -90, 0, 2, -45, 0, -3, -9, 0, 4, -58, 0, 36, -12, 0, 112, -16, 0, -2, 24, 0, -70, -72, 0, 0, -21, 0, 20, 33, 0, 33, 6, 0, 47, 11, 0, -4, 102, 0, 59, -5, 0, -24, 0, 0, -10, -32, 0, -3, -30, 0, -4, -12, 0, -18, 0, 0, -54, -19, 0, -34, 48, 0, -64, -8, 0, 0, 12, 0, -4, 4, 0, 0, 22, 0, 0, 9, 0, -3, 120, 0, -18, 9, 0, -3, -45, 0, 54, 14, 0, 12, -15, 0, 80, -25, 0, -12, -33, 0, 17, -18, 0, 0, -54, 0, 100, -9, 0, -32, 69, 0, 2, 0, 0, -27, 6, 0, 6, 12, 0, -4, -6, 0, 14, 18, 0, 63, -12, 0, 38, 0, 0, -9, -9, 0, -73, 12, 0, -42, -8, 0, 38, 54, 0, -15, 21, 0, 54, 39, 0, -14, 27, 0, 1, -22, 0, 8, 60, 0, 0, 2, 0, 30, -63, 0, 52, 0, 0, -19, -63, 0, 0, -3, 0, -18, -57, 0, -4, -28, 0, -19, -12, 0, -15, -4, 0, 9, -6, 0, 62, -9, 0, 3, -45, 0, -10, 0, 0, -36, 27, 0, 88, 4, 0, 29, 10, 0, 72, -28, 0, 54, -15, 0, -27, -40, 0, -1, 0, 0, -55, -6, 0, 60, 0, 0, -55, -40, 0, -16, 72, 0, -44, -24, 0, 42, -75, 0, 0, 12, 0, -3, -84, 0, 0, 0, 0, 0, 21, 0, -24, 44, 0, -29, 3, 0, -7, -25, 0, 24, -42, 0, -20, -90, 0, 14, -12, 0, 18, -12, 0, -6, -8, 0, -52, -5, 0, 20, 0, 0, -3, 11, 0, -9, 72, 0, 36, 20, 0, 6, 0, 0, -76, 39, 0, -24, 66, 0, 81, -44, 0, 5, -30, 0, -67, 0, 0, 3, -42, 0, 32, -34, 0, -3, 0, 0, 3, 12, 0, 27, -57, 0, 14, -18, 0, -16, 72, 0, 8, -3, 0, 3, -78, 0, 0, 23, 0, -12, 0, 0, 100, -24, 0, 12, 66, 0, 20, -22, 0, 0, 3, 0, 36, 20, 0, -6, 24, 0, 0, 62, 0, 11, -78, 0, 11, -27, 0, -60, 48, 0, 26, -3, 0, -63, 66, 0, -2, -3, 0, 0, 0, 0, 18, 54, 0, 0, -60, 0, -72, 39, 0, 6, 0, 0, -8, 38, 0, 8, 42, 0, 56, -4, 0, 12, 10, 0, 8, 5, 0, 9, 54, 0, 86, 12, 0, -1, -51, 0, 45, 16, 0, 0, 42, 0, -28, 12, 0, -15, 36, 0, 86, 10, 0, -33, 24, 0, -88, 1, 0, 33, 57, 0, 62, 45, 0, -22, 75, 0, 3, 2, 0, 0, 30, 0, -56, -4, 0, 12, 39, 0, -43, 12, 0, -33, -24, 0, -4, 0, 0, -1, 20, 0, -7, -9, 0, -18, -30, 0, 56, 0, 0, -8, 0, 0, -28, 24, 0, 51, -78, 0, -9, -21, 0, 18, -24, 0, -110, 1, 0, -27, -33, 0, -13, -3, 0, 2, -102, 0, 0, 15, 0, 0, 0, 0, -30, -55, 0, 5, -33, 0, -49, -18, 0, -15, 33, 0, 0, -56, 0, -12, 54, 0, 38, -6, 0, 45, -3, 0, 54, 20, 0, -9, -72, 0, 32, -10, 0, 13, -30, 0, -28, -40, 0, 4, -90, 0, -28, 48, 0, 3, 6, 0, -44, 45, 0, 16, 0, 0, 135, -1, 0, -12, -30, 0, 40, 27, 0, 0, -48, 0, -6, 0, 0, 48, -48, 0, -28, 70, 0, -46, -30, 0, 36, 0, 0, 0, -90, 0, -99, 2, 0, 0, 4, 0, 8, -24, 0, -51, 12, 0, 20, -10, 0, 15, 99, 0, 26, 24, 0, -30, 0, 0, 76, 9, 0, -12, 36, 0, -9, 39, 0, 9, -24, 0, 22, -21, 0, 2, 102, 0, 74, -3, 0, 24, 0, 0, 18, 56, 0, 20, 36, 0, -50, 0, 0, -3, -30, 0, -27, 8, 0, -28, 9, 0, 0, 5, 0, 0, 9, 0, -73, -70, 0, -42, 39, 0, -44, 6, 0, 4, -3, 0, 0, 36, 0, -43, 36, 0, 54, 14, 0, -60, 57, 0, -54, -40, 0, -3, 96, 0, 20, -11, 0, 0, 120, 0, 47, -22, 0, -16, 78, 0, 15, 12, 0, 51, -6, 0, -54, -55, 0, 3, -63, 0, -79, 54, 0, 30, 12, 0, 40, -1, 0, -36, -11, 0, -56, 11, 0, 24, 0, 0, -1, 45, 0, -3, -42, 0, -117, 9, 0, 54, -36, 0]}