# Stored data for newform 1530.2.a.m, downloaded from the LMFDB on 17 May 2025. {"Nk2": 6120, "analytic_conductor": 12.217111509255899, "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": [1530, 1, [1361, 307, 1261], [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, [4, 1]], [11, [2, 1]], [13, [6, 1]]], "hecke_orbit": 13, "hecke_orbit_code": 54043195562001914, "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": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "1530.2.a.m", "level": 1530, "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": "1530.2.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\\cdots", "related_objects": ["EllipticCurve/Q/1530/m"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1530.2.a", "trace_display": [1, 0, 1, -4], "trace_hash": 1826224685428234453, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.016", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.969", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.018", "prec": 17}, "traces": [0, 1, 1, 0, 1, 1, 0, -4, 1, 0, 1, -2, 0, -6, -4, 0, 1, -1, 0, 0, 1, 0, -2, 0, 0, 1, -6, 0, -4, -6, 0, 0, 1, 0, -1, -4, 0, -8, 0, 0, 1, -6, 0, 6, -2, 0, 0, -8, 0, 9, 1, 0, -6, -6, 0, -2, -4, 0, -6, 12, 0, 10, 0, 0, 1, -6, 0, 10, -1, 0, -4, 6, 0, 0, -8, 0, 0, 8, 0, 0, 1, 0, -6, -12, 0, -1, 6, 0, -2, 0, 0, 24, 0, 0, -8, 0, 0, -8, 9, 0, 1, -12, 0, 10, -6, 0, -6, 0, 0, -14, -2, 0, -4, -2, 0, 0, -6, 0, 12, 4, 0, -7, 10, 0, 0, 1, 0, -14, 1, 0, -6, -10, 0, 0, 10, 0, -1, 2, 0, 20, -4, 0, 6, 12, 0, -6, 0, 0, -8, 8, 0, 12, 0, 0, 8, 0, 0, 10, 0, 0, 1, 0, 0, 16, -6, 0, -12, -20, 0, 23, -1, 0, 6, -18, 0, -4, -2, 0, 0, 16, 0, -14, 24, 0, 0, -8, 0, 2, -8, 0, 0, -16, 0, 12, -8, 0, 9, 18, 0, 8, 1, 0, -12, 24, 0, -6, 10, 0, -6, 0, 0, -4, -6, 0, 0, 6, 0, 0, -14, 0, -2, 6, 0, 2, -4, 0, -2, -20, 0, 2, 0, 0, -6, -22, 0, -8, 12, 0, 4, 4, 0, -14, -7, 0, 10, 9, 0, 0, 0, 0, 1, -24, 0, 0, -14, 0, 1, -6, 0, 32, -6, 0, -10, 24, 0, -6, 0, 0, 10, 26, 0, 4, -1, 0, 2, -2, 0, -28, 20, 0, -4, 8, 0, -20, 6, 0, 12, 24, 0, 1, -6, 0, 0, 14, 0, 12, -8, 0, 8, 0, 0, -24, 12, 0, 0, 10, 0, 22, 8, 0, 0, -6, 0, 20, 10, 0, 0, 34, 0, 12, 1, 0, 0, 0, 0, -6, 16, 0, -6, 32, 0, -20, -12, 0, -20, 10, 0, -8, 23, 0, -1, 0, 0, -8, 6, 0, -18, 12, 0, 18, -4, 0, -2, 6, 0, 6, 0, 0, 16, -12, 0, -19, -14, 0, 24, 0, 0, -32, 0, 0, -8, 24, 0, -2, 2, 0, -8, 36, 0, 4, 0, 0, -16, 32, 0, 8, 12, 0, -8, -24, 0, 0, 9, 0, 18, 0, 0, -32, 8, 0, 1, 10, 0, 0, -12, 0, 24, 16, 0, 38, -6, 0, 10, -48, 0, -12, -6, 0, 0, 14, 0, 26, -4, 0, -6, -1, 0, -40, 0, 0, 6, -18, 0, -14, 0, 0, -14, 0, 0, -16, -2, 0, 6, -36, 0, 0, 2, 0, -4, -6, 0, 12, -2, 0, -20, 24, 0, 6, 2, 0, 0, -28, 0, 14, -6, 0, -22, -36, 0, -40, -8, 0, 12, -12, 0, 0, 4, 0, 4, 6, 0, 48, -14, 0, -7, -8, 0, -24, 10, 0, 9, 20, 0, 6, 0, 0, 0, -24, 0, -4, 1, 0, -24, -44, 0, -12, 0, 0, -14, -28, 0, 0, 1, 0, -6, 10, 0, 16, 32, 0, -6, 10, 0, 38, -10, 0, 24, 0, 0, -23, -6, 0, 0, 36, 0, 0, 10, 0, 26, -18, 0, -22, 4, 0, -1, -14, 0, -8, 2, 0, -2, 0, 0, 0, -28, 0, 20, 34, 0, -36, -4, 0, 8, -4, 0, -2, -20, 0, 6, 36, 0, -12, 12, 0, 24, 0, 0, -34, 1, 0, -6, 48, 0, 12, 0, 0, 14, -28, 0, 0, 12, 0, -8, -46, 0, 4, 8, 0, 0, 12, 0, 30, -24, 0, 12, -7, 0, -8, 0, 0, 10, 48, 0, 26, 22, 0, 8, 26, 0, 4, 0, 0, -6, 0, 0, 1, 20, 0, 10, 8, 0, 36, 0, 0, 34, -14, 0, -54, 12, 0, 1, -18, 0, -16, 0, 0, 0, -40, 0, -24, -6, 0, 16, -18, 0, -10, -6, 0, 32, -36, 0, -22, -20, 0, -12, 0, 0, 0, -20, 0, 10, -20, 0, -28, -8, 0, 23, -38, 0, 32, -1, 0, 0, -12, 0, 2, -8, 0, 6, 36, 0, 28, -18, 0, 12, 20, 0, 6, 18, 0, -4, -40, 0, 0, -2, 0, 6, 48, 0, -18, 6, 0, 0, 0, 0, 12, 16, 0, -12, 34, 0, -40, -19, 0, -14, -6, 0, -2, 24, 0, 0, -6, 0, -38, -32, 0, 0, -20, 0, 52, -8, 0, 24, -8, 0, 8, -2, 0, 2, 0, 0, -8, -8, 0, 36, 12, 0, 38, 4, 0, 0, -20, 0, 56, -16, 0, 32, -72, 0, -38, 8, 0, 12, -14, 0, 0, -8, 0, -24, 0, 0, -12, 0, 0, 9, 10, 0, 48, 18, 0, 0, 8, 0, -60, -32, 0, 8, -18, 0, 8, 1, 0, 10, 0, 0, 0, 0, 0, -12, -30, 0, 12, 24, 0, 16, 16, 0, 0, 38, 0, -6, -18, 0, -12, 10, 0, -48, -32, 0, 14, -12, 0, -6, -9, 0, -20, 0, 0, 14, -42, 0, 7, 26, 0, -4, 23, 0, 28, -6, 0, -1, 0, 0, 12, -40, 0, 0, -46, 0, -8, 6, 0, -18, 16, 0, -18, -14, 0, 0, 0, 0, -60, -14, 0, 0, -4, 0, -32, -16, 0, -2, 18, 0, -34, 6, 0, -36, 24, 0, 56, 0, 0, 2, 0, 0, 16, -4, 0, -6, 0, 0, 6, 12, 0, -2, -14, 0, 28, -20, 0, 24, -6, 0, 24, 6, 0, 2, 40, 0, 40, 0, 0, -28, -36, 0, -8, 14, 0, -6, 54, 0, 0, -22, 0, -36, 2, 0, -18, -40, 0, -8, 34, 0, 0, 12, 0, -12, 36, 0, 0, 0, 0, 4, 18, 0, -16, 4, 0, 6, -8, 0, -31, 48, 0, -14, 12, 0, 54, -7, 0, -8, 20, 0, -80, -24, 0, 10, -42, 0, 0, 9, 0, 20, -48, 0, 18, 6, 0, 0, 0, 0, 8, 0, 0, -24, 8, 0, 28, -4, 0, 1, -48, 0, -12, -24, 0, -44, 0, 0, -30, -12, 0, 0, 26, 0, 24, -14, 0, -28, -36, 0, 30, 0, 0, 1, -6, 0, 0, -6, 0, 10, -2, 0, 10, 16, 0, 32, -10, 0, -28, -6, 0, 10, -32, 0, 0, 38, 0, -10, -18, 0, -20, 24, 0, 0, -4, 0, -48, -23, 0, -6, -30, 0, 26, 0, 0, 36, 16, 0, -30, 0, 0, 10, 48, 0, 6, 26, 0, -18, 72, 0, 0, -22, 0, 4, 0, 0, 46, -1, 0, -14, 22, 0, 32, -8, 0, 2, -22, 0, -40, -2, 0, 0, 40, 0, 6, 0, 0, -28, 0, 0, 24, 20, 0, 34, 2, 0, 60, -36, 0, -4, 0, 0, 46, 8, 0, -4, 0, 0, -34, -2, 0, -20, -20, 0, -20, 6, 0, 36, -10, 0, -64, -12, 0, 12, 2, 0, 0, 24, 0, 0, -18, 0, -52, -34, 0, 1, 0, 0, 0, -6, 0, 48, 12, 0, -22, 12, 0, 0, 80, 0, 8, 14, 0, -28, -8, 0, 0, 0, 0, 12, 36, 0, -92, -8, 0, -46, -44, 0, 36, 4, 0, 8, 46, 0, 4, 0, 0, 12, 28, 0, -2, 30, 0, -24, -14, 0, -6, 12, 0, -7, 72, 0, 60, -8, 0, 0, -62, 0, 0, 10, 0, 48, 0, 0, 9, 26, 0, 22, 26, 0, 0, 8, 0, 26, 0, 0, -2, 4, 0, 0, 0, 0, 4, -6, 0, 0, -36, 0, -46, 1, 0, 20, -64, 0, -24, 10, 0, 8, 12, 0, 48, 36, 0, 0, 0, 0, 56, 34, 0, -14, 0, 0, 0, -54, 0, 12, 6, 0, -40, 1, 0, -18, -4, 0, -6, -16, 0, 0, 50, 0, -12, 0, 0, -40, 32, 0, 24, -24, 0, -6, -60, 0, -8, 16, 0, -18, 36, 0, -8, -10, 0, -6, 72, 0, 24, 32, 0, -36, -70, 0, -34, -22, 0, -20, -6, 0, -22, -12, 0, 0, 36, 0, 0, 0, 0, -20, 64, 0, -60, 10, 0, -20, 0, 0, 26, -28, 0, -8, 0, 0, -48, 23, 0, -38, 4, 0, 0, 32, 0, -1, -48, 0, 48, 0, 0, -12, -4, 0, 27, 2, 0, -8, -70, 0, -2, 6, 0, 36, -72, 0, 66, 28, 0, -18, -28, 0, 0, 12, 0, 20, 0, 0, -32, 6, 0, 18, 28, 0, 16, -4, 0, -40, 0, 0, 8, 0, 0, -2, 24, 0, 12, 6, 0, 48, -20, 0, 84, -18, 0, 6, -54, 0, -64, 0, 0, 0, 28, 0, 18, 12, 0, 16, 42, 0, 24, -12, 0, 34, 26, 0, 20, -40, 0, -19, 1, 0, -42, -14, 0, -6, 54, 0, 42, -2, 0, 24, 0, 0, -36, 0, 0, -6, 0, 0, 14, -38, 0, -32, 12, 0, 32, 0, 0, -20, 12, 0, 16, 52, 0, -8, 12, 0, 2, 24, 0, -8, -8, 0, 6, 8, 0, -2, 42, 0, 0, 2, 0, 0, -22, 0, 0, -8, 0, -8, -24, 0, -4, 36, 0, 12, 48, 0, 0, 38, 0, 4, 48, 0, 0, 0, 0, -20, 28, 0, 10, 56, 0, -16, -40, 0, 60, 32, 0, -72, 22, 0, 36, -38, 0, 8, 0, 0, -14, 12, 0, -14, -24, 0, 70, 0, 0, -8, 62, 0, -6, -24, 0, 0, 42, 0, -8, -12, 0, 0, 20, 0, -12, 9, 0, 10, 14, 0, 42, 48, 0, 18, 0, 0, -28, 0, 0, 8, -48, 0, 34, -60, 0, -32, 80, 0, -48, 8, 0, -18, 12, 0, 38, 8, 0, 1, -14, 0, -8, 10, 0, 0, 32, 0, 14, 0, 0, 0, 26, 0, 0, -12, 0, -30, 24, 0, 10, 12, 0, 24, -6, 0, -4, 16, 0, 16, 88, 0, 0, 0, 0, 38, -6, 0, -16, -6, 0, -18, 0, 0, 32, -12, 0, 10, 8, 0, 84, -48, 0, -32, -20, 0, -14, 14, 0, -12, -24, 0, -4, -6, 0, -9, 52, 0, -58, -20, 0, 0, -16, 0, 10, 14, 0, -42, 0, 0, -5, 7, 0, 26, -8, 0, 56, -4, 0, 23, 0, 0, 12, 28, 0, -6, 18, 0, 72, -1, 0, 0, 60, 0, 0, 12, 0, -40, -56, 0, -72, 0, 0, -46, -8, 0, 12, -8, 0, 6, -8, 0, 40, -18, 0, 16, -20, 0, 0, -18, 0, -14, -14, 0, 12, 0, 0, 0, 64, 0, 70, -60, 0, -14, 18, 0, 34, 0, 0, -4, -10, 0, 10, -32, 0, -16, 96, 0, -40, -2, 0, 18, -36, 0, 6, -34, 0, 6, -60, 0, 0, -36, 0, 24, 6, 0, 26, 56, 0, 0, -12, 0, -26, 2, 0, 0, -28, 0, -2, 16, 0, -4, -32, 0, -12, -6, 0, 0, 24, 0, 54, 6, 0, 12, -19, 0, -120, -2, 0, -14, -12, 0, -72, 28, 0, -20, 0, 0, 0, 24, 0, -6, 24, 0, 0, 24, 0, 6, 0, 0, -72, 2, 0, 40, -32, 0, 40, 40, 0, 0, -96, 0, 0, -28, 0, -36, 12, 0, -7, -8, 0, 14, 14, 0, 24, -6, 0, 54, -46, 0, -46, 0, 0, -22, -2, 0, 28, -36, 0, 2, -48, 0, 64, -18, 0, -40, 62, 0, -56, -8, 0, 34, -104, 0, 36, 0, 0, 12, -8, 0, 0, -12, 0, 36, 4, 0, -16, 0, 0, 0, -50, 0, 36, 4, 0, 18, -32, 0, 0, -16, 0, 4, -34, 0, 32, 6, 0, -8, 0, 0, 2, -31, 0, 48, 8, 0, 48, -14, 0, 12, -30, 0, 40, 54, 0, -7, -48, 0, 112, -8, 0, 20, -60, 0, -24, -80, 0, -24, -66, 0, 16, 10, 0, -42, 0, 0, 0, 0, 0, 9, 48, 0, -72, 20, 0, -48, -32, 0, -32, 18, 0, 6, 30, 0, 0, 0, 0, 0, 46, 0, 80, 8, 0, 0, -32, 0, 50, -24, 0, 8, 28, 0, 54, 28, 0, -4, 82, 0, -24, 1, 0, -48, 52, 0, 10, -12, 0, -24, -54, 0, 4, -44, 0, 0, 0, 0, 76, -30, 0, -12, -48, 0, -4, 0, 0, 26, 12, 0, -58, 24, 0, -14, 0, 0, 16, -28, 0, -36, 12, 0, -60, 30, 0, 0, 38, 0, 0, 1, 0, -6, -56, 0, -46, 0, 0, -6, 7, 0, -36, 10, 0, -2, -20, 0, -48, 10, 0, 16, -70, 0, 0, 32, 0, -10, -12, 0, 0, -28, 0, -6, -10, 0, 2, 10, 0, -32, 16, 0, -34, 0, 0, 38, 0, 0, 14, -10, 0, -18, -36, 0, 32, -20, 0, 24, 26, 0, 54, 0, 0, -4, -18, 0, -84, -48, 0, -23, 0, 0, -96, -6, 0, -30, -24, 0, -1, 26, 0, 0, 48, 0, -20, 36, 0, 16, -40, 0, 8, -30, 0, 0, 4, 0, -34, 10, 0, 48, 0, 0, -88, 6, 0, 26, -14, 0, -18, -18, 0, 72, 14, 0, -42, 0, 0, -22, -14, 0, -36, 4, 0, 0, 120, 0, 36, 46, 0, -1, 24, 0, 4, -14, 0, 22, -96, 0, 0, 32, 0, -8, -16, 0, -80, 2, 0, -22, -16, 0, -60, -40, 0, -2, 0, 0, 4, 0, 0, 40, -12, 0, 17, 6, 0, 0, 90, 0, -36, -28, 0, 0, -136, 0, -42, 24, 0, 20, 0, 0, 10, 34, 0, 2, 0, 0, -48, 60, 0, -36, 66, 0, 40, -4, 0, 0, 60, 0, -6, 46, 0, 8, 108, 0, 36, -4, 0, 0, 12, 0, -80, -34, 0, -2, 0, 0, 0, -20, 0, -20, 28, 0, 74, -20, 0, 6, -50, 0, 24, 36, 0, -10, -36, 0, 26, -64, 0, -12, 6, 0, -74, 12, 0, 2, 0, 0, 62, 0, 0, 24, 38, 0, 0, 0, 0, -18, -72, 0, -28, -52, 0, -34, -42, 0, -44, 1, 0, 0, 14, 0, 80, 0, 0, -6, 8, 0, 0, 48, 0, 12, -96, 0, -2, -22, 0, 12, 42, 0, -36, 0, 0, 80, -66, 0, -50, 8, 0, 14, -40, 0, -6, -28, 0, -8, 2, 0, 84, 0, 0, 0, 22, 0, 32, 12, 0, 36, -20, 0, -12, -92, 0, -8, 0, 0, -88, -46, 0, -44, 0, 0, -8, 36, 0, 4, -36, 0, -8, 8, 0, 46, 0, 0, -22, 4, 0, 0, -42, 0, 6, 12, 0, 28, 12, 0, -31, -2, 0, 30, 48, 0, 72, -24, 0, -14, 70, 0, 0, -6, 0, 12, -62, 0, -72, -7, 0, 72, 0, 0, -8, 60, 0, -8, -48, 0, -12, 0, 0, -62, -24, 0, 76, 0, 0, 10, -38, 0, -72, 48, 0, 0, -32, 0, 0, 9, 0, 26, -4, 0, 20, 22, 0, 26, 38, 0, 0, 0, 0, 8, 6, 0, -30, 26, 0, 0, -24, 0, 62, -2, 0, 4, 18, 0, -80, 0, 0, 0, 96, 0, -24, 4, 0, -6, 0, 0, 48, 0, 0, -36, -4, 0, 40, -46, 0, 1, -60, 0, -30, 20, 0, -64, 0, 0, -72, -24, 0, 10, 48, 0, -44, 8, 0, 12, -4, 0, -26, 48, 0, 36, -12, 0, 76, 0, 0, 0, -72, 0, -8, 56, 0, 34, 72, 0, 60, -14, 0, 0, 36, 0, -28, 0, 0, -54, -76, 0, 4, 12, 0, 6, 0, 0, 12, -40, 0, 1, -108, 0, 44, -18, 0, -4, -12, 0, 128, -6, 0, -16, 0, 0, 10, 0, 0, 50, 70, 0, 0, -12, 0, 0, 16, 0, -48, -40, 0, 32, 86, 0, -78, 24, 0, -24, -54, 0, 0, -6, 0, -60, 0, 0, 10, -8, 0, 16, 12, 0, 8, -18, 0, 36, 38, 0, -26, -8, 0, -10, -58, 0, 60, -6, 0, 72, -48, 0, -8, 24, 0, 32, 58, 0, 0, -36, 0, -70, -144, 0, 0, -34, 0, -22, -23, 0, -40, -20, 0, -6, 28, 0, -16, -22, 0, -12, 26, 0, -76, 0, 0, 36, -28, 0, 36, 0, 0, 0, -10, 0, -32, -20, 0, 64, 0, 0, -58, -60, 0, 10, -128, 0, -16, -20, 0, 0, -48, 0, 30, 26, 0, -28, 62, 0, -18, -8, 0, 0, 88, 0, 0, -48, 0, 23, -22, 0, -10, -38, 0, 4, 40, 0, 4, 0, 0, 32, 0, 0, -8, -1, 0, -48, 96, 0, -14, 48, 0, 0, -8, 0, 76, -12, 0, -4, -8, 0, 0, 27, 0, 2, 24, 0, 24, -8, 0, -70, -60, 0, 94, -2, 0, 6, 82, 0, 0, 36, 0, -72, 0, 0, 48, 66, 0, 28, 0, 0, -38, -18, 0, -28, -16, 0, -96, 0, 0, 12, 22, 0, 128, 20, 0, 0, 0, 0, 34, -32, 0, 6, 56, 0, 8, 18, 0, 28, -36, 0, -26, 16, 0, -4, -20, 0, 10, -40, 0, 0, -40, 0, -17, 8, 0, 0, 48, 0, -4, -2, 0, 24, 6, 0, 0, 12, 0, 6, -2, 0, 12, 48, 0, -20, 0, 0, 16, 84, 0, -18, -34, 0, 20, 6, 0, -54, 100, 0, 36, -64, 0, 0, -64, 0, 60, 0, 0, 28, -12, 0, 62, 18, 0, 12, 14, 0, -152, 16, 0, 42, -80, 0, 0, 24, 0, -12, -23, 0, 0, 34, 0, 26, -18, 0, 60, 20, 0, -40, -34, 0, 60, -19, 0, 1, 108, 0, -48, -42, 0, -14, -82, 0, -12, -6, 0, 54, -72, 0, 48, 42, 0, -2, -92, 0, -36, 24, 0, 0, 12, 0, -32, -36, 0, 0, 0, 0, 0, -6, 0, 0, 36, 0, 72, 14, 0, -38, -56, 0, -28, -32, 0, 12, -80, 0, 18, 32, 0, 0, 0, 0, -104, -20, 0, 12, 120, 0, -4, 16, 0, 52, 46, 0, -52, -8, 0, 12, 36, 0, -46, 2, 0, 24, 66, 0, -68, -8, 0, -8, 4, 0, -12, 6, 0, 8, -8, 0, 0, -2, 0, 42, -60, 0, 90, 0, 0, 2, 0, 0, 12, 0, 0, -22, 58, 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, 1, 0, -4, 1, 0, 1, -2, 0, -6, -4, 0, 1, -1, 0, 0, 1, 0, -2, 0, 0, 1, -6, 0, -4, -6, 0, 0, 1, 0, -1, -4, 0, -8, 0, 0, 1, -6, 0, 6, -2, 0, 0, -8, 0, 9, 1, 0, -6, -6, 0, -2, -4, 0, -6, 12, 0, 10, 0, 0, 1, -6, 0, 10, -1, 0, -4, 6, 0, 0, -8, 0, 0, 8, 0, 0, 1, 0, -6, -12, 0, -1, 6, 0, -2, 0, 0, 24, 0, 0, -8, 0, 0, -8, 9, 0, 1, -12, 0, 10, -6, 0, -6, 0, 0, -14, -2, 0, -4, -2, 0, 0, -6, 0, 12, 4, 0, -7, 10, 0, 0, 1, 0, -14, 1, 0, -6, -10, 0, 0, 10, 0, -1, 2, 0, 20, -4, 0, 6, 12, 0, -6, 0, 0, -8, 8, 0, 12, 0, 0, 8, 0, 0, 10, 0, 0, 1, 0, 0, 16, -6, 0, -12, -20, 0, 23, -1, 0, 6, -18, 0, -4, -2, 0, 0, 16, 0, -14, 24, 0, 0, -8, 0, 2, -8, 0, 0, -16, 0, 12, -8, 0, 9, 18, 0, 8, 1, 0, -12, 24, 0, -6, 10, 0, -6, 0, 0, -4, -6, 0, 0, 6, 0, 0, -14, 0, -2, 6, 0, 2, -4, 0, -2, -20, 0, 2, 0, 0, -6, -22, 0, -8, 12, 0, 4, 4, 0, -14, -7, 0, 10, 9, 0, 0, 0, 0, 1, -24, 0, 0, -14, 0, 1, -6, 0, 32, -6, 0, -10, 24, 0, -6, 0, 0, 10, 26, 0, 4, -1, 0, 2, -2, 0, -28, 20, 0, -4, 8, 0, -20, 6, 0, 12, 24, 0, 1, -6, 0, 0, 14, 0, 12, -8, 0, 8, 0, 0, -24, 12, 0, 0, 10, 0, 22, 8, 0, 0, -6, 0, 20, 10, 0, 0, 34, 0, 12, 1, 0, 0, 0, 0, -6, 16, 0, -6, 32, 0, -20, -12, 0, -20, 10, 0, -8, 23, 0, -1, 0, 0, -8, 6, 0, -18, 12, 0, 18, -4, 0, -2, 6, 0, 6, 0, 0, 16, -12, 0, -19, -14, 0, 24, 0, 0, -32, 0, 0, -8, 24, 0, -2, 2, 0, -8, 36, 0, 4, 0, 0, -16, 32, 0, 8, 12, 0, -8, -24, 0, 0, 9, 0, 18, 0, 0, -32, 8, 0, 1, 10, 0, 0, -12, 0, 24, 16, 0, 38, -6, 0, 10, -48, 0, -12, -6, 0, 0, 14, 0, 26, -4, 0, -6, -1, 0, -40, 0, 0, 6, -18, 0, -14, 0, 0, -14, 0, 0, -16, -2, 0, 6, -36, 0, 0, 2, 0, -4, -6, 0, 12, -2, 0, -20, 24, 0, 6, 2, 0, 0, -28, 0, 14, -6, 0, -22, -36, 0, -40, -8, 0, 12, -12, 0, 0, 4, 0, 4, 6, 0, 48, -14, 0, -7, -8, 0, -24, 10, 0, 9, 20, 0, 6, 0, 0, 0, -24, 0, -4, 1, 0, -24, -44, 0, -12, 0, 0, -14, -28, 0, 0, 1, 0, -6, 10, 0, 16, 32, 0, -6, 10, 0, 38, -10, 0, 24, 0, 0, -23, -6, 0, 0, 36, 0, 0, 10, 0, 26, -18, 0, -22, 4, 0, -1, -14, 0, -8, 2, 0, -2, 0, 0, 0, -28, 0, 20, 34, 0, -36, -4, 0, 8, -4, 0, -2, -20, 0, 6, 36, 0, -12, 12, 0, 24, 0, 0, -34, 1, 0, -6, 48, 0, 12, 0, 0, 14, -28, 0, 0, 12, 0, -8, -46, 0, 4, 8, 0, 0, 12, 0, 30, -24, 0, 12, -7, 0, -8, 0, 0, 10, 48, 0, 26, 22, 0, 8, 26, 0, 4, 0, 0, -6, 0, 0, 1, 20, 0, 10, 8, 0, 36, 0, 0, 34, -14, 0, -54, 12, 0, 1, -18, 0, -16, 0, 0, 0, -40, 0, -24, -6, 0, 16, -18, 0, -10, -6, 0, 32, -36, 0, -22, -20, 0, -12, 0, 0, 0, -20, 0, 10, -20, 0, -28, -8, 0, 23, -38, 0, 32, -1, 0, 0, -12, 0, 2, -8, 0, 6, 36, 0, 28, -18, 0, 12, 20, 0, 6, 18, 0, -4, -40, 0, 0, -2, 0, 6, 48, 0, -18, 6, 0, 0, 0, 0, 12, 16, 0, -12, 34, 0, -40, -19, 0, -14, -6, 0, -2, 24, 0, 0, -6, 0, -38, -32, 0, 0, -20, 0, 52, -8, 0, 24, -8, 0, 8, -2, 0, 2, 0, 0, -8, -8, 0, 36, 12, 0, 38, 4, 0, 0, -20, 0, 56, -16, 0, 32, -72, 0, -38, 8, 0, 12, -14, 0, 0, -8, 0, -24, 0, 0, -12, 0, 0, 9, 10, 0, 48, 18, 0, 0, 8, 0, -60, -32, 0, 8, -18, 0, 8, 1, 0, 10, 0, 0, 0, 0, 0, -12, -30, 0, 12, 24, 0, 16, 16, 0, 0, 38, 0, -6, -18, 0, -12, 10, 0, -48, -32, 0, 14, -12, 0, -6, -9, 0, -20, 0, 0, 14, -42, 0, 7, 26, 0, -4, 23, 0, 28, -6, 0, -1, 0, 0, 12, -40, 0, 0, -46, 0, -8, 6, 0, -18, 16, 0, -18, -14, 0, 0, 0, 0, -60, -14, 0, 0, -4, 0, -32, -16, 0, -2, 18, 0, -34, 6, 0, -36, 24, 0, 56, 0, 0, 2, 0, 0, 16, -4, 0, -6, 0, 0, 6, 12, 0, -2, -14, 0, 28, -20, 0, 24, -6, 0, 24, 6, 0, 2, 40, 0, 40, 0, 0, -28, -36, 0, -8, 14, 0, -6, 54, 0, 0, -22, 0, -36, 2, 0, -18, -40, 0, -8, 34, 0, 0, 12, 0, -12, 36, 0, 0, 0, 0, 4, 18, 0, -16, 4, 0, 6, -8, 0, -31, 48, 0, -14, 12, 0, 54, -7, 0, -8, 20, 0, -80, -24, 0, 10, -42, 0, 0, 9, 0, 20, -48, 0, 18, 6, 0, 0, 0, 0, 8, 0, 0, -24, 8, 0, 28, -4, 0, 1, -48, 0, -12, -24, 0, -44, 0, 0, -30, -12, 0, 0, 26, 0, 24, -14, 0, -28, -36, 0, 30, 0, 0, 1, -6, 0, 0, -6, 0, 10, -2, 0, 10, 16, 0, 32, -10, 0, -28, -6, 0, 10, -32, 0, 0, 38, 0, -10, -18, 0, -20, 24, 0, 0, -4, 0, -48, -23, 0, -6, -30, 0, 26, 0, 0, 36, 16, 0, -30, 0, 0, 10, 48, 0, 6, 26, 0, -18, 72, 0, 0, -22, 0, 4, 0, 0, 46, -1, 0, -14, 22, 0, 32, -8, 0, 2, -22, 0, -40, -2, 0, 0, 40, 0, 6, 0, 0, -28, 0, 0, 24, 20, 0, 34, 2, 0, 60, -36, 0, -4, 0, 0, 46, 8, 0, -4, 0, 0, -34, -2, 0, -20, -20, 0, -20, 6, 0, 36, -10, 0, -64, -12, 0, 12, 2, 0, 0, 24, 0, 0, -18, 0, -52, -34, 0, 1, 0, 0, 0, -6, 0, 48, 12, 0, -22, 12, 0, 0, 80, 0, 8, 14, 0, -28, -8, 0, 0, 0, 0, 12, 36, 0, -92, -8, 0, -46, -44, 0, 36, 4, 0, 8, 46, 0, 4, 0, 0, 12, 28, 0, -2, 30, 0, -24, -14, 0, -6, 12, 0, -7, 72, 0, 60, -8, 0, 0, -62, 0, 0, 10, 0, 48, 0, 0, 9, 26, 0, 22, 26, 0, 0, 8, 0, 26, 0, 0, -2, 4, 0, 0, 0, 0, 4, -6, 0, 0, -36, 0, -46, 1, 0, 20, -64, 0, -24, 10, 0, 8, 12, 0, 48, 36, 0, 0, 0, 0, 56, 34, 0, -14, 0, 0, 0, -54, 0, 12, 6, 0, -40, 1, 0, -18, -4, 0, -6, -16, 0, 0, 50, 0, -12, 0, 0, -40, 32, 0, 24, -24, 0, -6, -60, 0, -8, 16, 0, -18, 36, 0, -8, -10, 0, -6, 72, 0, 24, 32, 0, -36, -70, 0, -34, -22, 0, -20, -6, 0, -22, -12, 0, 0, 36, 0, 0, 0, 0, -20, 64, 0, -60, 10, 0, -20, 0, 0, 26, -28, 0, -8, 0, 0, -48, 23, 0, -38, 4, 0, 0, 32, 0, -1, -48, 0, 48, 0, 0, -12, -4, 0, 27, 2, 0, -8, -70, 0, -2, 6, 0, 36, -72, 0, 66, 28, 0, -18, -28, 0, 0, 12, 0, 20, 0, 0, -32, 6, 0, 18, 28, 0, 16, -4, 0, -40, 0, 0, 8, 0, 0, -2, 24, 0, 12, 6, 0, 48, -20, 0, 84, -18, 0, 6, -54, 0, -64, 0, 0, 0, 28, 0, 18, 12, 0, 16, 42, 0, 24, -12, 0, 34, 26, 0, 20, -40, 0, -19, 1, 0, -42, -14, 0, -6, 54, 0, 42, -2, 0, 24, 0, 0, -36, 0, 0, -6, 0, 0, 14, -38, 0, -32, 12, 0, 32, 0, 0, -20, 12, 0, 16, 52, 0, -8, 12, 0, 2, 24, 0, -8, -8, 0, 6, 8, 0, -2, 42, 0, 0, 2, 0, 0, -22, 0, 0, -8, 0, -8, -24, 0, -4, 36, 0, 12, 48, 0, 0, 38, 0, 4, 48, 0, 0, 0, 0, -20, 28, 0, 10, 56, 0, -16, -40, 0, 60, 32, 0, -72, 22, 0, 36, -38, 0, 8, 0, 0, -14, 12, 0, -14, -24, 0, 70, 0, 0, -8, 62, 0, -6, -24, 0, 0, 42, 0, -8, -12, 0, 0, 20, 0, -12, 9, 0, 10, 14, 0, 42, 48, 0, 18, 0, 0, -28, 0, 0, 8, -48, 0, 34, -60, 0, -32, 80, 0, -48, 8, 0, -18, 12, 0, 38, 8, 0, 1, -14, 0, -8, 10, 0, 0, 32, 0, 14, 0, 0, 0, 26, 0, 0, -12, 0, -30, 24, 0, 10, 12, 0, 24, -6, 0, -4, 16, 0, 16, 88, 0, 0, 0, 0, 38, -6, 0, -16, -6, 0, -18, 0, 0, 32, -12, 0, 10, 8, 0, 84, -48, 0, -32, -20, 0, -14, 14, 0, -12, -24, 0, -4, -6, 0, -9, 52, 0, -58, -20, 0, 0, -16, 0, 10, 14, 0, -42, 0, 0, -5, 7, 0, 26, -8, 0, 56, -4, 0, 23, 0, 0, 12, 28, 0, -6, 18, 0, 72, -1, 0, 0, 60, 0, 0, 12, 0, -40, -56, 0, -72, 0, 0, -46, -8, 0, 12, -8, 0, 6, -8, 0, 40, -18, 0, 16, -20, 0, 0, -18, 0, -14, -14, 0, 12, 0, 0, 0, 64, 0, 70, -60, 0, -14, 18, 0, 34, 0, 0, -4, -10, 0, 10, -32, 0, -16, 96, 0, -40, -2, 0, 18, -36, 0, 6, -34, 0, 6, -60, 0, 0, -36, 0, 24, 6, 0, 26, 56, 0, 0, -12, 0, -26, 2, 0, 0, -28, 0, -2, 16, 0, -4, -32, 0, -12, -6, 0, 0, 24, 0, 54, 6, 0, 12, -19, 0, -120, -2, 0, -14, -12, 0, -72, 28, 0, -20, 0, 0, 0, 24, 0, -6, 24, 0, 0, 24, 0, 6, 0, 0, -72, 2, 0, 40, -32, 0, 40, 40, 0, 0, -96, 0, 0, -28, 0, -36, 12, 0, -7, -8, 0, 14, 14, 0, 24, -6, 0, 54, -46, 0, -46, 0, 0, -22, -2, 0, 28, -36, 0, 2, -48, 0, 64, -18, 0, -40, 62, 0, -56, -8, 0, 34, -104, 0, 36, 0, 0, 12, -8, 0, 0, -12, 0, 36, 4, 0, -16, 0, 0, 0, -50, 0, 36, 4, 0, 18, -32, 0, 0, -16, 0, 4, -34, 0, 32, 6, 0, -8, 0, 0, 2, -31, 0, 48, 8, 0, 48, -14, 0, 12, -30, 0, 40, 54, 0, -7, -48, 0, 112, -8, 0, 20, -60, 0, -24, -80, 0, -24, -66, 0, 16, 10, 0, -42, 0, 0, 0, 0, 0, 9, 48, 0, -72, 20, 0, -48, -32, 0, -32, 18, 0, 6, 30, 0, 0, 0, 0, 0, 46, 0, 80, 8, 0, 0, -32, 0, 50, -24, 0, 8, 28, 0, 54, 28, 0, -4, 82, 0, -24, 1, 0, -48, 52, 0, 10, -12, 0, -24, -54, 0, 4, -44, 0, 0, 0, 0, 76, -30, 0, -12, -48, 0, -4, 0, 0, 26, 12, 0, -58, 24, 0, -14, 0, 0, 16, -28, 0, -36, 12, 0, -60, 30, 0, 0, 38, 0, 0, 1, 0, -6, -56, 0, -46, 0, 0, -6, 7, 0, -36, 10, 0, -2, -20, 0, -48, 10, 0, 16, -70, 0, 0, 32, 0, -10, -12, 0, 0, -28, 0, -6, -10, 0, 2, 10, 0, -32, 16, 0, -34, 0, 0, 38, 0, 0, 14, -10, 0, -18, -36, 0, 32, -20, 0, 24, 26, 0, 54, 0, 0, -4, -18, 0, -84, -48, 0, -23, 0, 0, -96, -6, 0, -30, -24, 0, -1, 26, 0, 0, 48, 0, -20, 36, 0, 16, -40, 0, 8, -30, 0, 0, 4, 0, -34, 10, 0, 48, 0, 0, -88, 6, 0, 26, -14, 0, -18, -18, 0, 72, 14, 0, -42, 0, 0, -22, -14, 0, -36, 4, 0, 0, 120, 0, 36, 46, 0, -1, 24, 0, 4, -14, 0, 22, -96, 0, 0, 32, 0, -8, -16, 0, -80, 2, 0, -22, -16, 0, -60, -40, 0, -2, 0, 0, 4, 0, 0, 40, -12, 0, 17, 6, 0, 0, 90, 0, -36, -28, 0, 0, -136, 0, -42, 24, 0, 20, 0, 0, 10, 34, 0, 2, 0, 0, -48, 60, 0, -36, 66, 0, 40, -4, 0, 0, 60, 0, -6, 46, 0, 8, 108, 0, 36, -4, 0, 0, 12, 0, -80, -34, 0, -2, 0, 0, 0, -20, 0, -20, 28, 0, 74, -20, 0, 6, -50, 0, 24, 36, 0, -10, -36, 0, 26, -64, 0, -12, 6, 0, -74, 12, 0, 2, 0, 0, 62, 0, 0, 24, 38, 0, 0, 0, 0, -18, -72, 0, -28, -52, 0, -34, -42, 0, -44, 1, 0, 0, 14, 0, 80, 0, 0, -6, 8, 0, 0, 48, 0, 12, -96, 0, -2, -22, 0, 12, 42, 0, -36, 0, 0, 80, -66, 0, -50, 8, 0, 14, -40, 0, -6, -28, 0, -8, 2, 0, 84, 0, 0, 0, 22, 0, 32, 12, 0, 36, -20, 0, -12, -92, 0, -8, 0, 0, -88, -46, 0, -44, 0, 0, -8, 36, 0, 4, -36, 0, -8, 8, 0, 46, 0, 0, -22, 4, 0, 0, -42, 0, 6, 12, 0, 28, 12, 0, -31, -2, 0, 30, 48, 0, 72, -24, 0, -14, 70, 0, 0, -6, 0, 12, -62, 0, -72, -7, 0, 72, 0, 0, -8, 60, 0, -8, -48, 0, -12, 0, 0, -62, -24, 0, 76, 0, 0, 10, -38, 0, -72, 48, 0, 0, -32, 0, 0, 9, 0, 26, -4, 0, 20, 22, 0, 26, 38, 0, 0, 0, 0, 8, 6, 0, -30, 26, 0, 0, -24, 0, 62, -2, 0, 4, 18, 0, -80, 0, 0, 0, 96, 0, -24, 4, 0, -6, 0, 0, 48, 0, 0, -36, -4, 0, 40, -46, 0, 1, -60, 0, -30, 20, 0, -64, 0, 0, -72, -24, 0, 10, 48, 0, -44, 8, 0, 12, -4, 0, -26, 48, 0, 36, -12, 0, 76, 0, 0, 0, -72, 0, -8, 56, 0, 34, 72, 0, 60, -14, 0, 0, 36, 0, -28, 0, 0, -54, -76, 0, 4, 12, 0, 6, 0, 0, 12, -40, 0, 1, -108, 0, 44, -18, 0, -4, -12, 0, 128, -6, 0, -16, 0, 0, 10, 0, 0, 50, 70, 0, 0, -12, 0, 0, 16, 0, -48, -40, 0, 32, 86, 0, -78, 24, 0, -24, -54, 0, 0, -6, 0, -60, 0, 0, 10, -8, 0, 16, 12, 0, 8, -18, 0, 36, 38, 0, -26, -8, 0, -10, -58, 0, 60, -6, 0, 72, -48, 0, -8, 24, 0, 32, 58, 0, 0, -36, 0, -70, -144, 0, 0, -34, 0, -22, -23, 0, -40, -20, 0, -6, 28, 0, -16, -22, 0, -12, 26, 0, -76, 0, 0, 36, -28, 0, 36, 0, 0, 0, -10, 0, -32, -20, 0, 64, 0, 0, -58, -60, 0, 10, -128, 0, -16, -20, 0, 0, -48, 0, 30, 26, 0, -28, 62, 0, -18, -8, 0, 0, 88, 0, 0, -48, 0, 23, -22, 0, -10, -38, 0, 4, 40, 0, 4, 0, 0, 32, 0, 0, -8, -1, 0, -48, 96, 0, -14, 48, 0, 0, -8, 0, 76, -12, 0, -4, -8, 0, 0, 27, 0, 2, 24, 0, 24, -8, 0, -70, -60, 0, 94, -2, 0, 6, 82, 0, 0, 36, 0, -72, 0, 0, 48, 66, 0, 28, 0, 0, -38, -18, 0, -28, -16, 0, -96, 0, 0, 12, 22, 0, 128, 20, 0, 0, 0, 0, 34, -32, 0, 6, 56, 0, 8, 18, 0, 28, -36, 0, -26, 16, 0, -4, -20, 0, 10, -40, 0, 0, -40, 0, -17, 8, 0, 0, 48, 0, -4, -2, 0, 24, 6, 0, 0, 12, 0, 6, -2, 0, 12, 48, 0, -20, 0, 0, 16, 84, 0, -18, -34, 0, 20, 6, 0, -54, 100, 0, 36, -64, 0, 0, -64, 0, 60, 0, 0, 28, -12, 0, 62, 18, 0, 12, 14, 0, -152, 16, 0, 42, -80, 0, 0, 24, 0, -12, -23, 0, 0, 34, 0, 26, -18, 0, 60, 20, 0, -40, -34, 0, 60, -19, 0, 1, 108, 0, -48, -42, 0, -14, -82, 0, -12, -6, 0, 54, -72, 0, 48, 42, 0, -2, -92, 0, -36, 24, 0, 0, 12, 0, -32, -36, 0, 0, 0, 0, 0, -6, 0, 0, 36, 0, 72, 14, 0, -38, -56, 0, -28, -32, 0, 12, -80, 0, 18, 32, 0, 0, 0, 0, -104, -20, 0, 12, 120, 0, -4, 16, 0, 52, 46, 0, -52, -8, 0, 12, 36, 0, -46, 2, 0, 24, 66, 0, -68, -8, 0, -8, 4, 0, -12, 6, 0, 8, -8, 0, 0, -2, 0, 42, -60, 0, 90, 0, 0, 2, 0, 0, 12, 0, 0, -22, 58, 0]}