# Stored data for newform 2550.2.a.d, downloaded from the LMFDB on 30 April 2025. {"Nk2": 10200, "analytic_conductor": 20.3618525154265, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, 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": [2550, 1, [851, 1327, 751], [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": [[7, [0, 1]], [11, [-4, 1]], [13, [2, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510798915668470, "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": "2550.2.a.d", "level": 2550, "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, 5, 17], "level_radical": 510, "minimal_twist": "510.2.a.f", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\\cdots", "related_objects": ["EllipticCurve/Q/2550/d"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2550.2.a", "trace_display": [-1, -1, 0, 0], "trace_hash": 12408190999987839, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.002", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.039", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.172", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.020", "prec": 17}, "traces": [0, 1, -1, -1, 1, 0, 1, 0, -1, 1, 0, 4, -1, -2, 0, 0, 1, -1, -1, -4, 0, 0, -4, -4, 1, 0, 2, -1, 0, 2, 0, -4, -1, -4, 1, 0, 1, 6, 4, 2, 0, -10, 0, 8, 4, 0, 4, 0, -1, -7, 0, 1, -2, -6, 1, 0, 0, 4, -2, -8, 0, 10, 4, 0, 1, 0, 4, 8, -1, 4, 0, 8, -1, 2, -6, 0, -4, 0, -2, 4, 0, 1, 10, -4, 0, 0, -8, -2, -4, -14, 0, 0, -4, 4, 0, 0, 1, 10, 7, 4, 0, -6, -1, -16, 2, 0, 6, -12, -1, -14, 0, -6, 0, -18, -4, 0, 2, -2, 8, 0, 0, 5, -10, 10, -4, 0, 0, 16, -1, -8, 0, 4, -4, 0, -8, 0, 1, 6, -4, -4, 0, 0, -8, -8, 1, 0, -2, 7, 6, 2, 0, 0, 4, -1, 0, 0, 2, 6, -4, 6, 0, 0, -1, -12, -10, 0, 4, -12, 0, -9, 0, -4, 8, -2, 2, 0, 4, 8, 14, 0, 0, -14, 0, -10, 4, 0, -4, -4, 0, 0, 0, 0, -1, -6, -10, 0, -7, -18, -4, -4, 0, -8, 6, 0, 1, 0, 16, -4, -2, -16, 0, 12, -6, -8, 12, 0, 1, 0, 14, -2, 0, 2, 6, -24, 0, 0, 18, -12, 4, 6, 0, 0, -2, 30, 2, 0, -8, -4, 0, 8, 0, 10, -5, -1, 10, 0, -10, 8, 4, 4, 0, 0, 0, -16, -16, 0, 1, -18, 8, 0, 0, 2, -4, -16, 4, 0, 0, 14, 8, -14, 0, -8, -1, 0, -6, 0, 4, -10, 4, -4, 0, -30, 0, -20, 8, 0, 8, 0, -1, 1, 0, -10, 2, -6, -7, 0, -6, -4, -2, 8, 0, 0, 0, 6, -4, 0, 1, -16, 0, 16, 0, -8, -2, 2, -6, 0, 4, -26, -6, 8, 0, 12, 0, 4, 1, 0, 12, 14, 10, 0, 0, 20, -4, 6, 12, 0, 0, -6, 9, 18, 0, -16, 4, 0, -8, 0, 2, -4, -2, -34, 0, 2, -4, 30, -8, 0, -14, 0, 0, 32, 0, -3, 14, -5, 0, 0, 10, -8, -4, -10, 0, 0, 4, -18, 4, 0, 0, -4, 0, 20, 0, -16, 0, 24, 1, 0, 6, 8, 10, -30, 0, 4, 7, -4, 18, 0, 4, -18, 4, 0, 0, 6, 8, 8, -6, 0, 0, 24, -1, 10, 0, -6, -16, 0, 4, 0, 2, 4, 16, 28, 0, 30, -12, 0, 6, 0, 8, 0, -12, 8, 0, -16, -1, 6, 0, 0, -14, 16, 2, 20, 0, -7, -2, 28, -6, 0, 24, -2, 0, -26, 0, -40, -18, 0, 12, 0, -4, -2, -6, 1, 0, -38, 0, 24, 2, 0, -30, 12, -2, 0, 0, -6, 8, 32, 4, 0, 0, -6, -8, 0, 0, -12, -10, 0, 5, 0, 1, 40, -10, 12, 0, 24, 10, -2, -8, 0, -4, 0, -4, 28, 0, 12, 0, 28, 0, 0, 16, 9, 16, -6, 0, 0, -1, 4, 18, 0, -8, 0, 0, 2, 0, 30, -2, 40, 4, 0, 16, 4, -4, -7, 0, -8, 0, 20, -14, 0, -8, 0, 14, -28, 0, -22, 8, 14, 1, 0, 0, 20, 6, 10, 0, -8, -4, 0, 10, 0, -4, -30, 4, -16, 0, 4, 30, -20, 0, 0, 20, 0, -8, 26, 0, -44, -8, 0, 0, 0, 1, 6, -1, 6, 0, 0, 10, -24, -2, 0, 6, 12, 7, 16, 0, 18, 6, 30, 4, 0, 2, 4, -8, 0, 0, 34, 0, 8, 0, 0, -6, 32, 4, 0, 0, 0, -1, -10, 16, 0, 0, -2, -16, 44, 0, 4, 8, 0, 2, 0, -2, 16, 6, -6, 0, 32, -4, -12, 26, 0, 6, 14, -8, 8, 0, -42, -12, 20, 0, 0, -4, 32, -1, -32, 0, 0, -12, -34, -14, 0, -10, 2, 0, 24, 0, 22, -20, -2, 4, 0, -6, -8, -12, 24, 0, 40, 0, 10, 6, 0, -9, -18, -18, 0, 0, 12, 16, -44, -4, 0, 0, -6, 8, 12, 0, -36, -2, 0, 4, 0, 2, 10, 34, -30, 0, 10, -2, -24, 4, 0, -30, 0, 8, 10, 0, 4, 14, 16, 0, 0, 0, -8, -32, -48, 0, 0, 3, -10, -14, 0, 5, -40, 0, 1, 0, -8, -10, -26, 8, 0, 4, 32, 10, -44, 0, -8, 0, -28, -4, 0, 18, -4, -4, 0, 0, -4, 0, 0, 4, 0, 0, 14, -20, 16, 0, 42, 16, 0, 0, 0, -24, 16, -1, 2, 0, 18, -6, -14, -8, 0, -10, 0, 30, 40, 0, 32, -4, -2, -7, 0, 4, -4, -18, 16, 0, 0, -4, -20, 18, 0, -4, -6, 0, 0, 0, -14, -6, 8, -8, 0, -8, 14, 6, 54, 0, -28, 0, 8, -24, 0, 1, -32, -10, 0, 0, -6, 6, -16, 16, 0, 0, -36, -4, 54, 0, 10, -2, 7, -4, 0, -16, 4, -28, 16, 0, -25, -30, 30, 12, 0, 0, 0, -6, 20, 0, -24, -8, 54, 0, 0, 12, -26, -8, 20, 0, 0, 16, 8, 1, 0, -6, -1, 0, 16, 0, -16, 14, 10, -16, 0, -2, -50, -20, 6, 0, -2, 7, 0, 2, 0, -28, -12, 6, 0, 0, 4, -24, 0, 2, 0, 0, -8, 26, -8, 0, 6, 40, 0, 18, 0, 0, 36, -12, -6, 0, 48, 4, -16, 2, 0, 6, 0, -1, 16, 0, 16, 38, -16, 0, 0, -24, -16, -2, -50, 0, 28, 30, 8, -12, 0, 2, -2, 0, -2, 0, -30, 6, 40, -8, 0, -32, 28, -4, -4, 0, 26, 0, 6, 6, 0, 8, -8, 0, 0, 0, -15, 12, -12, 10, 0, 0, -24, -5, -4, 0, 32, -1, 0, -40, 0, 10, -18, -12, -56, 0, -14, -24, 44, -10, 0, 2, 0, 8, -32, 0, -44, 4, -20, 0, 0, 4, -10, -28, -6, 0, 0, -12, 8, 0, 0, -28, 24, 0, -54, 0, 6, -16, 14, -9, 0, -16, -18, 6, 24, 0, 54, 0, 16, 1, 0, -4, -8, -18, 0, 0, -32, 8, 46, 0, 0, 0, -10, -2, -48, 0, 4, -30, 0, 2, 0, -40, 34, -4, 30, 0, 44, -16, -2, -4, 0, 4, 0, 7, -30, 0, 10, 8, -56, 0, 0, -20, 40, 14, -34, 0, 0, 8, 12, 0, 0, -14, -32, 28, 8, 0, 0, 22, 3, -8, 0, -14, -24, -1, 5, 0, 20, 0, -10, -20, 0, -6, 54, -10, 0, 0, 8, 8, 64, 4, 0, 0, 10, -10, -6, 0, -24, 4, 0, 30, 0, -4, -2, 16, 18, 0, 32, -4, 8, -30, 0, 20, 28, 0, -38, 0, 4, -20, -64, 0, 0, 8, -20, -26, -8, 0, 0, 44, 16, 8, 0, 0, -24, 0, -24, 0, -40, -1, 50, -6, 0, 1, 28, -6, -40, 0, -8, 0, -36, -10, 0, 24, 30, 2, 0, 0, 36, -6, -4, -12, 0, -7, -48, -16, 4, 0, 50, -18, 0, -6, 0, -30, -36, -4, -20, 0, 18, -2, 22, -4, 0, 8, 0, 0, -56, 0, 10, -34, -6, 0, 0, -8, -8, 0, -8, 0, 0, 6, -34, -32, 0, -4, -50, 0, 24, 0, -24, 0, -8, 1, 0, 10, -10, -16, 18, 0, -4, 0, 6, 2, 0, 16, -10, -44, 0, 0, -2, -4, -72, -8, 0, 0, 16, -2, -14, 0, -4, 2, 0, -16, 0, -6, -28, 6, -8, 0, -20, -32, -30, 4, 0, 12, 0, -26, 0, 0, 40, -6, -32, -14, 0, 8, 18, -8, -32, 0, 0, 42, -20, 12, 0, -20, -8, 0, 22, 0, 20, 4, 16, -32, 0, 1, -14, 32, -6, 0, 42, 0, 40, 12, 0, 34, -20, 14, 0, 0, -16, 10, 12, -2, 0, 0, -20, -24, 32, 0, 26, -22, 7, 20, 0, 2, -24, -4, -28, 0, -24, 6, -32, 8, 0, 12, 0, -24, 32, 0, 2, -40, -4, 0, 0, -10, 26, -6, -32, 0, 0, 9, 40, 18, 0, 18, 32, 0, 0, 0, -54, -12, 0, -16, 0, 44, -28, 4, -1, 0, 2, 0, 34, 6, 0, -8, -1, -12, 0, 0, 70, 36, 38, 2, 0, 0, -8, -4, -24, 0, 24, -2, 0, -10, 0, -34, 64, 30, -28, 0, -12, -10, -40, 2, 0, 24, 0, -4, -46, 0, 4, 30, 6, 0, 0, -8, 28, -10, -32, 0, -14, -4, -16, -14, 0, -16, -28, 0, 46, 0, 6, 0, 6, 8, 0, 32, 0, 48, -24, 0, 16, 0, 12, -3, 0, 10, -56, 14, 0, 0, -36, -5, -2, 40, 0, 0, 0, -1, 20, 0, -40, 8, 0, 10, 0, 26, -12, -8, 36, 0, 72, -4, -24, -32, 0, -10, 0, 44, 2, 0, 10, 8, 48, 0, 0, 28, 40, 4, 34, 0, 0, -18, -66, 4, 0, 4, -28, 0, 60, 0, -16, 4, -12, 0, 0, 0, 24, -4, -28, 0, 48, 0, 14, -14, 0, 20, -60, -16, 28, 0, -9, -42, 20, -16, 0, 0, 6, 0, -16, 0, -60, 24, 0, -16, 0, 1, -12, -2, -4, 0, -32, -18, 32, 6, 0, 14, 0, 8, -10, 0, 0, 10, 54, 0, 0, -30, -2, -40, 24, 0, 0, -32, -30, 4, 0, 2, 16, 7, -40, 0, -28, -4, -10, 4, 0, 18, 16, -16, 4, 0, -4, 0, -72, 4, 0, 20, 7, -18, 0, 0, 48, 4, 8, 6, 0, 0, 38, 0, -20, 0, -26, 14, 0, 6, 0, -8, 48, 8, -46, 0, 0, 8, -70, -14, 0, -6, 28, -54, 56, 0, -62, 28, 22, 0, 0, -8, -28, 24, -14, 0, 0, -1, -32, 32, 0, 10, -18, 0, 8, 0, -20, 6, 24, -6, 0, 16, -10, -16, -10, 0, -32, 0, 8, 36, 0, 4, 30, -54, 0, 0, 0, -10, 0, 2, 0, -7, -28, 4, -62, 0, 30, 16, 0, -4, 0, 28, 16, -16, -8, 0, 59, 25, -4, 30, 0, -30, 0, -12, 20, 0, 56, 0, 62, 0, 0, 6, -42, -20, -68, 0, 0, 24, -8, 8, 0, -54, -26, 0, 34, 0, -16, -12, 44, 26, 0, 8, 6, -20, 0, 0, 58, 0, -4, -16, 0, -8, 24, -1, 0, 0, -6, 6, 66, 1, 0, 0, -6, -16, 0, 0, -62, 16, 0, -14, 0, -10, 56, 16, 24, 0, 16, 2, 46, 50, 0, 20, 0, -6, 64, 0, -12, 2, -80, -7, 0, 0, -16, -2, 20, 0, 0, 28, -18, 12, 0, -6, -58, 0, -30, 0, -12, -4, -56, 24, 0, 0, 68, -2, -34, 0, -4, 0, -48, 8, 0, -26, 0, 8, 0, 0, 26, -6, -34, -40, 0, 0, 8, -18, -8, 0, 8, 0, -42, -36, 0, 12, -16, 6, 12, 0, -32, -48, 24, -4, 0, 16, 0, -2, 32, 0, -20, -6, 0, 0, 0, 1, -48, -16, 10, 0, 0, -16, -40, -38, 0, 16, 68, 0, 21, 0, 2, 24, 14, 16, 0, 2, -44, 50, -36, 0, -34, -28, -4, -30, 0, -8, -28, 12, 0, 0, -24, -2, 26, 2, 0, 0, 46, 2, 8, 0, -16, 30, 0, -6, 0, -40, 6, 8, 18, 0, -40, 32, -32, -28, 0, 4, 0, 4, 12, 0, 18, -26, -8, 0, 0, -6, -12, -6, 16, 0, -14, -8, 6, 8, 0, 0, -8, 0, 24, 0, 18, 15, 42, -12, 0, 12, 0, -10, -20, 0, 44, 0, 14, 24, 0, 5, -4, 4, 0, 0, -32, -32, 16, 1, 0, 0, 32, 40, 2, 0, 0, -10, 0, 18, 0, 12, 64, 56, 34, 0, -36, 14, 0, 24, 0, -44, 0, 10, 0, 0, -2, -2, -46, 0, 0, -8, -24, 32, 44, 0, 0, 44, -22, -4, 0, 20, 56, 0, 2, 0, -56, -4, 22, 10, 0, 28, 26, 6, -52, 0, 8, 0, 28, 12, 0, -8, -24, 0, 70, 0, -84, 28, -40, -24, 0, 0, 82, 54, -10, 0, 0, -6, 0, 16, 0, -14, -28, 9, -70, 0, 18, 16, 48, 18, 0, -6, 0, -24, 72, 0, -12, -54, -12, 0, 0, -16, 56, -1, 44, 0, 0, 4, 30, 8, 0, 18, -5, 0, 16, 0, 6, 32, 60, -8, 0, -46, -12, 0, -22, 0, 56, 0, 36, 10, 0, 2, -32, 48, 0, 0, -50, -4, -48, 30, 0, 0, 16, -2, 58, 0, -10, 40, 0, -34, 0, 4, 30, -30, 24, 0, 0, -44, -10, 16, 0, 2, -56, 4, 24, 0, -24, -4, 82, 0, 0, -7, 4, 30, 24, 0, 0, -10, -24, -8, 0, 56, -10, 0, 34, 0, 28, 20, -4, -40, 0, -14, -38, 34, -16, 0, 10, 0, -40, -8, 0, -12, 72, 0, 0, 0, 8, 14, -74, 32, 0, -28, 48, -8, -16, 0, 2, 0, 0, -22, 0, -3, -72, 8, 10, 0, 24, 14, 60, 24, 0, 1, 0, -5, 4, 0, 40, -20, -48, 0, 0, 10, -1, 20, -16, 0, 0, 6, 8, -54, 0, 10, 44, 0, 26, 0, -32, -8, 4, -8, 0, -64, -84, -4, -47, 0, -32, 0, -34, -10, 0, 10, 44, 6, 0, 0, -62, 24, 8, -4, 0, 0, -4, -30, 28, 0, -40, 4, 0, 2, 0, -16, 22, -18, 84, 0, 4, -32, 4, 4, 0, -8, 0, 30, 4, 0, -60, -20, 4, -28, 0, 0, 60, 38, 0, 0, 0, -4, -8, 20, 0, 64, 12, 0, 6, 0, -14, -8, -10, 20, 0, 26, -16, 8, -48, 0, 90, 0, -42, -44, 0, -16, 48, -8, 0, 0, 8, 0, 62, 24, 0, 0, 6, 24, -20, 0, -16, 40, 0, 1, 0, -50, -2, 6, -6, 0, 56, -1, -18, -28, 0, 6, 0, 40, 14, 0, 48, 8, 24, 0, 0, 36, 0, 10, -6, 0, 0, -24, -14, -30, 0, -2, -40, 0, -60, 0, -14, -36, -32, 6, 0, 4, -88, 12, 2, 0, 16, 7, 28, 48, 0, 16, -50, -4, 0, 0, 4, -50, 4, 18, 0, 0, -16, 6, 64, 0, -20, 30, 0, 36, 0, 4, 66, 20, 20, 0, -54, -18, -8, 2, 0, -22, 0, 4, 14, 0, 6, -8, 6, 0, 0, 0, 0, 56, -56, 0, 49, -10, 14, 34, 0, 6, -8, 0, -8, 0, 60, 8, -64, 8, 0, 0, 38, 8, 80, 0, -14, 0, 16, -6, 0, 34, -54, 32, 0, 0, 8, 4, 28, 50, 0, 0, 54, -24, -8, 0, 62, 24, 0, 0, 0, 8, 16, -1, -16, 0, 32, -10, -96, 10, 0, 16, 0, -18, -36, 0, 48, 4, 6, 0, 0, -6, 8, -2, 16, 0, 0, -16, 94, 10, 0, 44, -66, 0, 48, 0, 36, 2, 0, 4, 0, 72, -54, 8, -16, 0, 0, 0, -10, -16, 0, 2, -48, 14, -7, 0, -100, 4, -56, -2, 0, 0, 56, 16, 12, 0, -4, 6, 0, 28, 0, -6, -16, 8, 24, 0, -54, 20, 25, 32, 0, 30, 0, -4, -30, 0, -40, -12, -2, 0, 0, 26, -64, 0, 20, 0, 0, -40, 36, 6, 0, 32, -20, 14, 26, 0, -32, -8, 24, -18, 0, 8, 62, 32, -54, 0, 36, 0, 120, -42, 0, 20, 0, -12, 0, 0, 26, 20, 16, 8, 0, 0, -20, -22, -60, 0, -28, -20, 0, -4, 0, -16, 8, 32, -8, 0, 24, -1, -50, 14, 0, -32, 42, 6, 72, 0, 1, -42, -24, 0, 0, -40, -16, -12, 66, 0, 0, -34, 16, 20, 0, -14, 14, 0, -10, 0, -30, 16, 80, -10, 0, -12, 48, 2, 32, 0, 50, 0, -26, 20, 0, 24, -6, -32, 0, 0, 16, -26, 2, 22, 0, -7, -8, -20, 0, 0, 40, -2, 0, 24, 0, 4, -26, 28, 20, 0, 12, 24, 28, -6, 0, 32, 0, -8, -6, 0, -8, -12, -4, 0, 0, 24, 14, -32, 0, 0, 0, -2, -44, 40, 0, 4, 64, 0, 10, 0, 8, 10, 46, -26, 0, 6, 8, 32, -96, 0, 12, 0, -6, -9, 0, -40, -8, -18, 0, 0, -96, -18, -54, -32, 0, 0, 32, 0, -64, 0, -36, 54, 0, 12, 0, 0, 6, 16, -6, 0, -84, -44, -48, 28, 0, -4, 0, 1, 16, 0, -54, -2, -24, 0, 0, -34, -80, -6, 90, 0, 0, 8, 78, 1, 0, 12, -16, 0, 56, 0, 0, -70, -16, -36, 0, -38, -72, -2, 16, 0, 12, 0, 0, 8, 0, 4, -82, 24, 0, 0, 16, -24, -20, 2, 0, 0, 50, 10, 74, 0, 44, 34, -28, -64, 0, -30, 70, 28, -8, 0, 50, 12, 80, 10, 0, 40, 0, -2, -17, 0, 2, -24, 20, 0, 0, 4, 2, 46, 92, 0, 0, -4, 30, -30, 0, -6, -72, 0, -40, 0, -8, 8, -46, -28, 0, 10, -22, 32, 12, 0, -28, 14, 100, 4, 0, 16, 4, 14, 0, 0, -60, 16, -26, 28, 0, 0, 54, -46, -6, 0, -14, -6, 0, 0, 0, -6, 0, -8, 0, 0, 8, -32, 9, 0, 0, -48, 0, 24, 0, 0, 64, -16, 15, 0, 0, -12, -88, 3, 12, 0, 56, -10, -64, 56, 0, -14, -26, 0, 48, 0, 24, 36, 72, 5, 0, 2, 4, -40, -38, 0, -80, 0, -32, 0, 0, 1, 38, -20, 0, 0, -64, 40, 24, -8, 0, 0, 60, -10, -12, 0, 18, -26, 0, 12, 0, 8, 56, -36, -96, 0, 2, -72, 14, 4, 0, 24, 0, 32, -44, 0, 24, 10, 50, 0, 0, -44, 50, -2, -56, 0, 0, -10, -60, -8, 0, -48, 32, 0, -34, 0, -4, -28, 44, -40, 0, -4, -12, -34, 20, 0, -32, 0, -24, 18, 0, 66, -32, -4, -70, 0, 10, -4, -20, 28, 0, 0, 6, -60, -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, -1, 1, 0, 1, 0, -1, 1, 0, 4, -1, -2, 0, 0, 1, -1, -1, -4, 0, 0, -4, -4, 1, 0, 2, -1, 0, 2, 0, -4, -1, -4, 1, 0, 1, 6, 4, 2, 0, -10, 0, 8, 4, 0, 4, 0, -1, -7, 0, 1, -2, -6, 1, 0, 0, 4, -2, -8, 0, 10, 4, 0, 1, 0, 4, 8, -1, 4, 0, 8, -1, 2, -6, 0, -4, 0, -2, 4, 0, 1, 10, -4, 0, 0, -8, -2, -4, -14, 0, 0, -4, 4, 0, 0, 1, 10, 7, 4, 0, -6, -1, -16, 2, 0, 6, -12, -1, -14, 0, -6, 0, -18, -4, 0, 2, -2, 8, 0, 0, 5, -10, 10, -4, 0, 0, 16, -1, -8, 0, 4, -4, 0, -8, 0, 1, 6, -4, -4, 0, 0, -8, -8, 1, 0, -2, 7, 6, 2, 0, 0, 4, -1, 0, 0, 2, 6, -4, 6, 0, 0, -1, -12, -10, 0, 4, -12, 0, -9, 0, -4, 8, -2, 2, 0, 4, 8, 14, 0, 0, -14, 0, -10, 4, 0, -4, -4, 0, 0, 0, 0, -1, -6, -10, 0, -7, -18, -4, -4, 0, -8, 6, 0, 1, 0, 16, -4, -2, -16, 0, 12, -6, -8, 12, 0, 1, 0, 14, -2, 0, 2, 6, -24, 0, 0, 18, -12, 4, 6, 0, 0, -2, 30, 2, 0, -8, -4, 0, 8, 0, 10, -5, -1, 10, 0, -10, 8, 4, 4, 0, 0, 0, -16, -16, 0, 1, -18, 8, 0, 0, 2, -4, -16, 4, 0, 0, 14, 8, -14, 0, -8, -1, 0, -6, 0, 4, -10, 4, -4, 0, -30, 0, -20, 8, 0, 8, 0, -1, 1, 0, -10, 2, -6, -7, 0, -6, -4, -2, 8, 0, 0, 0, 6, -4, 0, 1, -16, 0, 16, 0, -8, -2, 2, -6, 0, 4, -26, -6, 8, 0, 12, 0, 4, 1, 0, 12, 14, 10, 0, 0, 20, -4, 6, 12, 0, 0, -6, 9, 18, 0, -16, 4, 0, -8, 0, 2, -4, -2, -34, 0, 2, -4, 30, -8, 0, -14, 0, 0, 32, 0, -3, 14, -5, 0, 0, 10, -8, -4, -10, 0, 0, 4, -18, 4, 0, 0, -4, 0, 20, 0, -16, 0, 24, 1, 0, 6, 8, 10, -30, 0, 4, 7, -4, 18, 0, 4, -18, 4, 0, 0, 6, 8, 8, -6, 0, 0, 24, -1, 10, 0, -6, -16, 0, 4, 0, 2, 4, 16, 28, 0, 30, -12, 0, 6, 0, 8, 0, -12, 8, 0, -16, -1, 6, 0, 0, -14, 16, 2, 20, 0, -7, -2, 28, -6, 0, 24, -2, 0, -26, 0, -40, -18, 0, 12, 0, -4, -2, -6, 1, 0, -38, 0, 24, 2, 0, -30, 12, -2, 0, 0, -6, 8, 32, 4, 0, 0, -6, -8, 0, 0, -12, -10, 0, 5, 0, 1, 40, -10, 12, 0, 24, 10, -2, -8, 0, -4, 0, -4, 28, 0, 12, 0, 28, 0, 0, 16, 9, 16, -6, 0, 0, -1, 4, 18, 0, -8, 0, 0, 2, 0, 30, -2, 40, 4, 0, 16, 4, -4, -7, 0, -8, 0, 20, -14, 0, -8, 0, 14, -28, 0, -22, 8, 14, 1, 0, 0, 20, 6, 10, 0, -8, -4, 0, 10, 0, -4, -30, 4, -16, 0, 4, 30, -20, 0, 0, 20, 0, -8, 26, 0, -44, -8, 0, 0, 0, 1, 6, -1, 6, 0, 0, 10, -24, -2, 0, 6, 12, 7, 16, 0, 18, 6, 30, 4, 0, 2, 4, -8, 0, 0, 34, 0, 8, 0, 0, -6, 32, 4, 0, 0, 0, -1, -10, 16, 0, 0, -2, -16, 44, 0, 4, 8, 0, 2, 0, -2, 16, 6, -6, 0, 32, -4, -12, 26, 0, 6, 14, -8, 8, 0, -42, -12, 20, 0, 0, -4, 32, -1, -32, 0, 0, -12, -34, -14, 0, -10, 2, 0, 24, 0, 22, -20, -2, 4, 0, -6, -8, -12, 24, 0, 40, 0, 10, 6, 0, -9, -18, -18, 0, 0, 12, 16, -44, -4, 0, 0, -6, 8, 12, 0, -36, -2, 0, 4, 0, 2, 10, 34, -30, 0, 10, -2, -24, 4, 0, -30, 0, 8, 10, 0, 4, 14, 16, 0, 0, 0, -8, -32, -48, 0, 0, 3, -10, -14, 0, 5, -40, 0, 1, 0, -8, -10, -26, 8, 0, 4, 32, 10, -44, 0, -8, 0, -28, -4, 0, 18, -4, -4, 0, 0, -4, 0, 0, 4, 0, 0, 14, -20, 16, 0, 42, 16, 0, 0, 0, -24, 16, -1, 2, 0, 18, -6, -14, -8, 0, -10, 0, 30, 40, 0, 32, -4, -2, -7, 0, 4, -4, -18, 16, 0, 0, -4, -20, 18, 0, -4, -6, 0, 0, 0, -14, -6, 8, -8, 0, -8, 14, 6, 54, 0, -28, 0, 8, -24, 0, 1, -32, -10, 0, 0, -6, 6, -16, 16, 0, 0, -36, -4, 54, 0, 10, -2, 7, -4, 0, -16, 4, -28, 16, 0, -25, -30, 30, 12, 0, 0, 0, -6, 20, 0, -24, -8, 54, 0, 0, 12, -26, -8, 20, 0, 0, 16, 8, 1, 0, -6, -1, 0, 16, 0, -16, 14, 10, -16, 0, -2, -50, -20, 6, 0, -2, 7, 0, 2, 0, -28, -12, 6, 0, 0, 4, -24, 0, 2, 0, 0, -8, 26, -8, 0, 6, 40, 0, 18, 0, 0, 36, -12, -6, 0, 48, 4, -16, 2, 0, 6, 0, -1, 16, 0, 16, 38, -16, 0, 0, -24, -16, -2, -50, 0, 28, 30, 8, -12, 0, 2, -2, 0, -2, 0, -30, 6, 40, -8, 0, -32, 28, -4, -4, 0, 26, 0, 6, 6, 0, 8, -8, 0, 0, 0, -15, 12, -12, 10, 0, 0, -24, -5, -4, 0, 32, -1, 0, -40, 0, 10, -18, -12, -56, 0, -14, -24, 44, -10, 0, 2, 0, 8, -32, 0, -44, 4, -20, 0, 0, 4, -10, -28, -6, 0, 0, -12, 8, 0, 0, -28, 24, 0, -54, 0, 6, -16, 14, -9, 0, -16, -18, 6, 24, 0, 54, 0, 16, 1, 0, -4, -8, -18, 0, 0, -32, 8, 46, 0, 0, 0, -10, -2, -48, 0, 4, -30, 0, 2, 0, -40, 34, -4, 30, 0, 44, -16, -2, -4, 0, 4, 0, 7, -30, 0, 10, 8, -56, 0, 0, -20, 40, 14, -34, 0, 0, 8, 12, 0, 0, -14, -32, 28, 8, 0, 0, 22, 3, -8, 0, -14, -24, -1, 5, 0, 20, 0, -10, -20, 0, -6, 54, -10, 0, 0, 8, 8, 64, 4, 0, 0, 10, -10, -6, 0, -24, 4, 0, 30, 0, -4, -2, 16, 18, 0, 32, -4, 8, -30, 0, 20, 28, 0, -38, 0, 4, -20, -64, 0, 0, 8, -20, -26, -8, 0, 0, 44, 16, 8, 0, 0, -24, 0, -24, 0, -40, -1, 50, -6, 0, 1, 28, -6, -40, 0, -8, 0, -36, -10, 0, 24, 30, 2, 0, 0, 36, -6, -4, -12, 0, -7, -48, -16, 4, 0, 50, -18, 0, -6, 0, -30, -36, -4, -20, 0, 18, -2, 22, -4, 0, 8, 0, 0, -56, 0, 10, -34, -6, 0, 0, -8, -8, 0, -8, 0, 0, 6, -34, -32, 0, -4, -50, 0, 24, 0, -24, 0, -8, 1, 0, 10, -10, -16, 18, 0, -4, 0, 6, 2, 0, 16, -10, -44, 0, 0, -2, -4, -72, -8, 0, 0, 16, -2, -14, 0, -4, 2, 0, -16, 0, -6, -28, 6, -8, 0, -20, -32, -30, 4, 0, 12, 0, -26, 0, 0, 40, -6, -32, -14, 0, 8, 18, -8, -32, 0, 0, 42, -20, 12, 0, -20, -8, 0, 22, 0, 20, 4, 16, -32, 0, 1, -14, 32, -6, 0, 42, 0, 40, 12, 0, 34, -20, 14, 0, 0, -16, 10, 12, -2, 0, 0, -20, -24, 32, 0, 26, -22, 7, 20, 0, 2, -24, -4, -28, 0, -24, 6, -32, 8, 0, 12, 0, -24, 32, 0, 2, -40, -4, 0, 0, -10, 26, -6, -32, 0, 0, 9, 40, 18, 0, 18, 32, 0, 0, 0, -54, -12, 0, -16, 0, 44, -28, 4, -1, 0, 2, 0, 34, 6, 0, -8, -1, -12, 0, 0, 70, 36, 38, 2, 0, 0, -8, -4, -24, 0, 24, -2, 0, -10, 0, -34, 64, 30, -28, 0, -12, -10, -40, 2, 0, 24, 0, -4, -46, 0, 4, 30, 6, 0, 0, -8, 28, -10, -32, 0, -14, -4, -16, -14, 0, -16, -28, 0, 46, 0, 6, 0, 6, 8, 0, 32, 0, 48, -24, 0, 16, 0, 12, -3, 0, 10, -56, 14, 0, 0, -36, -5, -2, 40, 0, 0, 0, -1, 20, 0, -40, 8, 0, 10, 0, 26, -12, -8, 36, 0, 72, -4, -24, -32, 0, -10, 0, 44, 2, 0, 10, 8, 48, 0, 0, 28, 40, 4, 34, 0, 0, -18, -66, 4, 0, 4, -28, 0, 60, 0, -16, 4, -12, 0, 0, 0, 24, -4, -28, 0, 48, 0, 14, -14, 0, 20, -60, -16, 28, 0, -9, -42, 20, -16, 0, 0, 6, 0, -16, 0, -60, 24, 0, -16, 0, 1, -12, -2, -4, 0, -32, -18, 32, 6, 0, 14, 0, 8, -10, 0, 0, 10, 54, 0, 0, -30, -2, -40, 24, 0, 0, -32, -30, 4, 0, 2, 16, 7, -40, 0, -28, -4, -10, 4, 0, 18, 16, -16, 4, 0, -4, 0, -72, 4, 0, 20, 7, -18, 0, 0, 48, 4, 8, 6, 0, 0, 38, 0, -20, 0, -26, 14, 0, 6, 0, -8, 48, 8, -46, 0, 0, 8, -70, -14, 0, -6, 28, -54, 56, 0, -62, 28, 22, 0, 0, -8, -28, 24, -14, 0, 0, -1, -32, 32, 0, 10, -18, 0, 8, 0, -20, 6, 24, -6, 0, 16, -10, -16, -10, 0, -32, 0, 8, 36, 0, 4, 30, -54, 0, 0, 0, -10, 0, 2, 0, -7, -28, 4, -62, 0, 30, 16, 0, -4, 0, 28, 16, -16, -8, 0, 59, 25, -4, 30, 0, -30, 0, -12, 20, 0, 56, 0, 62, 0, 0, 6, -42, -20, -68, 0, 0, 24, -8, 8, 0, -54, -26, 0, 34, 0, -16, -12, 44, 26, 0, 8, 6, -20, 0, 0, 58, 0, -4, -16, 0, -8, 24, -1, 0, 0, -6, 6, 66, 1, 0, 0, -6, -16, 0, 0, -62, 16, 0, -14, 0, -10, 56, 16, 24, 0, 16, 2, 46, 50, 0, 20, 0, -6, 64, 0, -12, 2, -80, -7, 0, 0, -16, -2, 20, 0, 0, 28, -18, 12, 0, -6, -58, 0, -30, 0, -12, -4, -56, 24, 0, 0, 68, -2, -34, 0, -4, 0, -48, 8, 0, -26, 0, 8, 0, 0, 26, -6, -34, -40, 0, 0, 8, -18, -8, 0, 8, 0, -42, -36, 0, 12, -16, 6, 12, 0, -32, -48, 24, -4, 0, 16, 0, -2, 32, 0, -20, -6, 0, 0, 0, 1, -48, -16, 10, 0, 0, -16, -40, -38, 0, 16, 68, 0, 21, 0, 2, 24, 14, 16, 0, 2, -44, 50, -36, 0, -34, -28, -4, -30, 0, -8, -28, 12, 0, 0, -24, -2, 26, 2, 0, 0, 46, 2, 8, 0, -16, 30, 0, -6, 0, -40, 6, 8, 18, 0, -40, 32, -32, -28, 0, 4, 0, 4, 12, 0, 18, -26, -8, 0, 0, -6, -12, -6, 16, 0, -14, -8, 6, 8, 0, 0, -8, 0, 24, 0, 18, 15, 42, -12, 0, 12, 0, -10, -20, 0, 44, 0, 14, 24, 0, 5, -4, 4, 0, 0, -32, -32, 16, 1, 0, 0, 32, 40, 2, 0, 0, -10, 0, 18, 0, 12, 64, 56, 34, 0, -36, 14, 0, 24, 0, -44, 0, 10, 0, 0, -2, -2, -46, 0, 0, -8, -24, 32, 44, 0, 0, 44, -22, -4, 0, 20, 56, 0, 2, 0, -56, -4, 22, 10, 0, 28, 26, 6, -52, 0, 8, 0, 28, 12, 0, -8, -24, 0, 70, 0, -84, 28, -40, -24, 0, 0, 82, 54, -10, 0, 0, -6, 0, 16, 0, -14, -28, 9, -70, 0, 18, 16, 48, 18, 0, -6, 0, -24, 72, 0, -12, -54, -12, 0, 0, -16, 56, -1, 44, 0, 0, 4, 30, 8, 0, 18, -5, 0, 16, 0, 6, 32, 60, -8, 0, -46, -12, 0, -22, 0, 56, 0, 36, 10, 0, 2, -32, 48, 0, 0, -50, -4, -48, 30, 0, 0, 16, -2, 58, 0, -10, 40, 0, -34, 0, 4, 30, -30, 24, 0, 0, -44, -10, 16, 0, 2, -56, 4, 24, 0, -24, -4, 82, 0, 0, -7, 4, 30, 24, 0, 0, -10, -24, -8, 0, 56, -10, 0, 34, 0, 28, 20, -4, -40, 0, -14, -38, 34, -16, 0, 10, 0, -40, -8, 0, -12, 72, 0, 0, 0, 8, 14, -74, 32, 0, -28, 48, -8, -16, 0, 2, 0, 0, -22, 0, -3, -72, 8, 10, 0, 24, 14, 60, 24, 0, 1, 0, -5, 4, 0, 40, -20, -48, 0, 0, 10, -1, 20, -16, 0, 0, 6, 8, -54, 0, 10, 44, 0, 26, 0, -32, -8, 4, -8, 0, -64, -84, -4, -47, 0, -32, 0, -34, -10, 0, 10, 44, 6, 0, 0, -62, 24, 8, -4, 0, 0, -4, -30, 28, 0, -40, 4, 0, 2, 0, -16, 22, -18, 84, 0, 4, -32, 4, 4, 0, -8, 0, 30, 4, 0, -60, -20, 4, -28, 0, 0, 60, 38, 0, 0, 0, -4, -8, 20, 0, 64, 12, 0, 6, 0, -14, -8, -10, 20, 0, 26, -16, 8, -48, 0, 90, 0, -42, -44, 0, -16, 48, -8, 0, 0, 8, 0, 62, 24, 0, 0, 6, 24, -20, 0, -16, 40, 0, 1, 0, -50, -2, 6, -6, 0, 56, -1, -18, -28, 0, 6, 0, 40, 14, 0, 48, 8, 24, 0, 0, 36, 0, 10, -6, 0, 0, -24, -14, -30, 0, -2, -40, 0, -60, 0, -14, -36, -32, 6, 0, 4, -88, 12, 2, 0, 16, 7, 28, 48, 0, 16, -50, -4, 0, 0, 4, -50, 4, 18, 0, 0, -16, 6, 64, 0, -20, 30, 0, 36, 0, 4, 66, 20, 20, 0, -54, -18, -8, 2, 0, -22, 0, 4, 14, 0, 6, -8, 6, 0, 0, 0, 0, 56, -56, 0, 49, -10, 14, 34, 0, 6, -8, 0, -8, 0, 60, 8, -64, 8, 0, 0, 38, 8, 80, 0, -14, 0, 16, -6, 0, 34, -54, 32, 0, 0, 8, 4, 28, 50, 0, 0, 54, -24, -8, 0, 62, 24, 0, 0, 0, 8, 16, -1, -16, 0, 32, -10, -96, 10, 0, 16, 0, -18, -36, 0, 48, 4, 6, 0, 0, -6, 8, -2, 16, 0, 0, -16, 94, 10, 0, 44, -66, 0, 48, 0, 36, 2, 0, 4, 0, 72, -54, 8, -16, 0, 0, 0, -10, -16, 0, 2, -48, 14, -7, 0, -100, 4, -56, -2, 0, 0, 56, 16, 12, 0, -4, 6, 0, 28, 0, -6, -16, 8, 24, 0, -54, 20, 25, 32, 0, 30, 0, -4, -30, 0, -40, -12, -2, 0, 0, 26, -64, 0, 20, 0, 0, -40, 36, 6, 0, 32, -20, 14, 26, 0, -32, -8, 24, -18, 0, 8, 62, 32, -54, 0, 36, 0, 120, -42, 0, 20, 0, -12, 0, 0, 26, 20, 16, 8, 0, 0, -20, -22, -60, 0, -28, -20, 0, -4, 0, -16, 8, 32, -8, 0, 24, -1, -50, 14, 0, -32, 42, 6, 72, 0, 1, -42, -24, 0, 0, -40, -16, -12, 66, 0, 0, -34, 16, 20, 0, -14, 14, 0, -10, 0, -30, 16, 80, -10, 0, -12, 48, 2, 32, 0, 50, 0, -26, 20, 0, 24, -6, -32, 0, 0, 16, -26, 2, 22, 0, -7, -8, -20, 0, 0, 40, -2, 0, 24, 0, 4, -26, 28, 20, 0, 12, 24, 28, -6, 0, 32, 0, -8, -6, 0, -8, -12, -4, 0, 0, 24, 14, -32, 0, 0, 0, -2, -44, 40, 0, 4, 64, 0, 10, 0, 8, 10, 46, -26, 0, 6, 8, 32, -96, 0, 12, 0, -6, -9, 0, -40, -8, -18, 0, 0, -96, -18, -54, -32, 0, 0, 32, 0, -64, 0, -36, 54, 0, 12, 0, 0, 6, 16, -6, 0, -84, -44, -48, 28, 0, -4, 0, 1, 16, 0, -54, -2, -24, 0, 0, -34, -80, -6, 90, 0, 0, 8, 78, 1, 0, 12, -16, 0, 56, 0, 0, -70, -16, -36, 0, -38, -72, -2, 16, 0, 12, 0, 0, 8, 0, 4, -82, 24, 0, 0, 16, -24, -20, 2, 0, 0, 50, 10, 74, 0, 44, 34, -28, -64, 0, -30, 70, 28, -8, 0, 50, 12, 80, 10, 0, 40, 0, -2, -17, 0, 2, -24, 20, 0, 0, 4, 2, 46, 92, 0, 0, -4, 30, -30, 0, -6, -72, 0, -40, 0, -8, 8, -46, -28, 0, 10, -22, 32, 12, 0, -28, 14, 100, 4, 0, 16, 4, 14, 0, 0, -60, 16, -26, 28, 0, 0, 54, -46, -6, 0, -14, -6, 0, 0, 0, -6, 0, -8, 0, 0, 8, -32, 9, 0, 0, -48, 0, 24, 0, 0, 64, -16, 15, 0, 0, -12, -88, 3, 12, 0, 56, -10, -64, 56, 0, -14, -26, 0, 48, 0, 24, 36, 72, 5, 0, 2, 4, -40, -38, 0, -80, 0, -32, 0, 0, 1, 38, -20, 0, 0, -64, 40, 24, -8, 0, 0, 60, -10, -12, 0, 18, -26, 0, 12, 0, 8, 56, -36, -96, 0, 2, -72, 14, 4, 0, 24, 0, 32, -44, 0, 24, 10, 50, 0, 0, -44, 50, -2, -56, 0, 0, -10, -60, -8, 0, -48, 32, 0, -34, 0, -4, -28, 44, -40, 0, -4, -12, -34, 20, 0, -32, 0, -24, 18, 0, 66, -32, -4, -70, 0, 10, -4, -20, 28, 0, 0, 6, -60, -40, 0]}