# Stored data for newform 2790.2.a.bc, downloaded from the LMFDB on 20 April 2025.
{"Nk2": 11160, "analytic_conductor": 22.278262163937228, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, -1], [31, 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": [2790, 1, [2171, 1117, 1801], [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, [-4, 1]], [13, [-2, 1]], [17, [2, 1]], [19, [-4, 1]]], "hecke_orbit": 29, "hecke_orbit_code": 126100789599931110, "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": "2790.2.a.bc", "level": 2790, "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, 31], "level_radical": 930, "minimal_twist": "930.2.a.g", "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/2790/bc"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2790.2.a", "trace_display": [1, 0, 1, 4], "trace_hash": 1376393663377835914, "trace_moments": [{"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "1.004", "prec": 17}, {"__RealLiteral__": 0, "data": "0.063", "prec": 17}, {"__RealLiteral__": 0, "data": "1.994", "prec": 17}, {"__RealLiteral__": 0, "data": "0.158", "prec": 17}, {"__RealLiteral__": 0, "data": "4.959", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.022", "prec": 17}, "traces": [0, 1, 1, 0, 1, 1, 0, 4, 1, 0, 1, 4, 0, 2, 4, 0, 1, -2, 0, 4, 1, 0, 4, -4, 0, 1, 2, 0, 4, 2, 0, -1, 1, 0, -2, 4, 0, -6, 4, 0, 1, -10, 0, -4, 4, 0, -4, -8, 0, 9, 1, 0, 2, 6, 0, 4, 4, 0, 2, -8, 0, 10, -1, 0, 1, 2, 0, -12, -2, 0, 4, 0, 0, 14, -6, 0, 4, 16, 0, -8, 1, 0, -10, -4, 0, -2, -4, 0, 4, 6, 0, 8, -4, 0, -8, 4, 0, -6, 9, 0, 1, -18, 0, 4, 2, 0, 6, 4, 0, 6, 4, 0, 4, -6, 0, -4, 2, 0, -8, -8, 0, 5, 10, 0, -1, 1, 0, -8, 1, 0, 2, 8, 0, 16, -12, 0, -2, 6, 0, 16, 4, 0, 0, 8, 0, 2, 14, 0, -6, 6, 0, 8, 4, 0, 16, -1, 0, -22, -8, 0, 1, -16, 0, 12, -10, 0, -4, 20, 0, -9, -2, 0, -4, 14, 0, 4, 4, 0, 6, 20, 0, -6, 8, 0, -4, -6, 0, -8, -8, 0, 4, -24, 0, -14, -6, 0, 9, 14, 0, -8, 1, 0, -18, 8, 0, -10, 4, 0, 2, 16, 0, -12, 6, 0, 4, -4, 0, -4, 6, 0, 4, -4, 0, 16, 4, 0, -6, -4, 0, -14, -4, 0, 2, 10, 0, -8, -8, 0, -8, -8, 0, -14, 5, 0, 10, 9, 0, 8, -1, 0, 1, 28, 0, -16, -8, 0, 1, -6, 0, -24, 2, 0, 8, 12, 0, 6, 16, 0, -12, 18, 0, 8, -2, 0, 6, 4, 0, -22, 16, 0, 4, 30, 0, 20, 0, 0, 8, -40, 0, -13, 2, 0, 14, 6, 0, -8, -6, 0, 6, -8, 0, -16, 8, 0, 4, 10, 0, -20, 16, 0, -1, -24, 0, -34, -22, 0, -8, -2, 0, 8, 1, 0, -16, -8, 0, 2, 12, 0, -10, -32, 0, 24, -4, 0, 20, -12, 0, -2, -9, 0, -2, -4, 0, 8, -4, 0, 14, -20, 0, 30, 4, 0, 4, -10, 0, 0, 6, 0, 20, -16, 0, -3, -6, 0, 8, 14, 0, -8, -4, 0, -6, 24, 0, -14, -8, 0, -8, 4, 0, 4, 4, 0, -24, 4, 0, 16, -14, 0, -6, 10, 0, 8, 9, 0, 14, -8, 0, 2, -8, 0, 1, -34, 0, -2, -18, 0, 8, -24, 0, 18, -10, 0, 4, -32, 0, -4, 2, 0, 16, -8, 0, 14, -12, 0, 6, -2, 0, 40, 4, 0, -4, 24, 0, -26, -4, 0, 6, -16, 0, 32, 4, 0, -4, -28, 0, 6, 16, 0, 4, 14, 0, -40, -6, 0, -4, 8, 0, -18, -14, 0, -4, -38, 0, -24, 2, 0, 10, 12, 0, -48, -8, 0, -8, -16, 0, 4, -8, 0, -8, 16, 0, -12, -14, 0, 5, -6, 0, 24, 10, 0, 9, 20, 0, -4, 8, 0, -1, 0, 0, -24, 1, 0, 28, -24, 0, -18, -16, 0, -8, -22, 0, 56, 1, 0, -6, 4, 0, -32, -24, 0, 2, 30, 0, 36, 8, 0, 12, 2, 0, -7, 6, 0, 16, -20, 0, 4, -12, 0, 18, 36, 0, -10, 8, 0, -2, 6, 0, -28, 6, 0, 4, 8, 0, -32, -22, 0, 16, -42, 0, -8, 4, 0, 30, 36, 0, -6, 20, 0, 0, -26, 0, 0, 8, 0, -40, -4, 0, -30, -13, 0, 2, -16, 0, 24, 14, 0, 6, -28, 0, -4, -8, 0, -6, 18, 0, -8, 6, 0, -8, 0, 0, 34, -16, 0, 8, 5, 0, 28, 4, 0, 10, -16, 0, 26, -20, 0, 16, 18, 0, -32, -1, 0, -24, 24, 0, 1, -34, 0, -22, 12, 0, 8, -8, 0, -2, -8, 0, 18, 8, 0, 1, -2, 0, -20, -16, 0, -8, 28, 0, -32, 2, 0, 12, -18, 0, 8, -10, 0, -32, 8, 0, 46, 24, 0, -4, 16, 0, -8, 20, 0, -12, 40, 0, 14, -2, 0, -9, -18, 0, -24, -2, 0, -4, -28, 0, 6, 8, 0, -4, 12, 0, 28, 14, 0, -20, 16, 0, 20, 30, 0, 4, 46, 0, -24, 4, 0, -10, -72, 0, 42, 0, 0, 6, 4, 0, 8, 20, 0, -16, -24, 0, 16, -3, 0, -6, 2, 0, 4, 8, 0, 14, 8, 0, 18, -8, 0, -4, -48, 0, -16, -6, 0, 24, 4, 0, 6, -14, 0, -8, 16, 0, 40, -8, 0, 4, 8, 0, -54, 4, 0, 4, -10, 0, 24, -24, 0, 4, -16, 0, -46, 16, 0, -14, -26, 0, -1, -6, 0, 10, -40, 0, 0, 8, 0, 9, -22, 0, 4, 14, 0, -8, -24, 0, 20, 2, 0, -8, 30, 0, 16, 1, 0, -34, 56, 0, -16, -2, 0, -18, 38, 0, -28, 8, 0, -24, 12, 0, -16, 18, 0, -10, 10, 0, 40, 4, 0, -32, 12, 0, -46, -4, 0, 2, -18, 0, 20, 16, 0, -8, 0, 0, -25, 14, 0, -12, -9, 0, 20, 6, 0, -2, 24, 0, 26, 40, 0, 4, -22, 0, 40, -4, 0, 24, -4, 0, 14, -26, 0, -4, -32, 0, -24, 6, 0, -16, 4, 0, -38, 32, 0, 4, 30, 0, -52, -4, 0, -28, -40, 0, -32, 6, 0, 16, -32, 0, 20, 4, 0, 14, -2, 0, -12, -40, 0, -6, -6, 0, -28, -4, 0, 8, 0, 0, -16, -18, 0, -14, 32, 0, -8, -4, 0, -38, 0, 0, -6, -24, 0, 2, 46, 0, 36, 10, 0, 12, -8, 0, -14, -48, 0, -8, 18, 0, 40, -8, 0, -16, -52, 0, 28, 4, 0, -8, 38, 0, -24, -8, 0, 16, 24, 0, 1, -12, 0, -14, -14, 0, 48, 5, 0, -6, -40, 0, 64, 24, 0, 10, 10, 0, 24, 9, 0, 20, 36, 0, 14, -4, 0, 8, 16, 0, 16, -1, 0, 0, -8, 0, 18, -24, 0, 1, 32, 0, 16, 28, 0, -24, 24, 0, 34, -18, 0, -16, -42, 0, 8, -8, 0, -22, 12, 0, 10, 56, 0, 1, -10, 0, -16, -6, 0, 4, -24, 0, 26, -32, 0, -24, -20, 0, 40, 2, 0, 30, 24, 0, 16, 36, 0, 8, -10, 0, 12, 12, 0, 2, -12, 0, 32, -7, 0, 6, 30, 0, 20, 16, 0, -20, -24, 0, -22, 4, 0, -12, -12, 0, -4, 18, 0, 36, -8, 0, 32, -10, 0, 8, -4, 0, 44, -2, 0, 6, 60, 0, -54, -28, 0, 6, 54, 0, -88, 4, 0, 8, -16, 0, -4, -32, 0, -22, -6, 0, -72, 16, 0, -42, 16, 0, -38, -8, 0, 4, -32, 0, 12, 30, 0, 36, -36, 0, -14, -6, 0, 20, 16, 0, -4, 0, 0, -26, 24, 0, 48, 0, 0, 8, -14, 0, 6, -40, 0, -4, 0, 0, 22, -30, 0, -13, 12, 0, 40, 2, 0, -16, 60, 0, 10, 24, 0, 14, 80, 0, 32, 6, 0, -28, -8, 0, 16, -4, 0, -8, -6, 0, -36, -6, 0, 18, 12, 0, -20, -8, 0, 6, 14, 0, -8, -8, 0, 0, 24, 0, -38, 34, 0, -16, -14, 0, 0, 8, 0, 5, 56, 0, -6, 28, 0, 4, -62, 0, -24, 10, 0, -16, 64, 0, 9, 26, 0, -20, -2, 0, 16, 16, 0, 18, 8, 0, -62, -32, 0, -1, -28, 0, -24, -24, 0, 24, -8, 0, 34, 1, 0, -34, 80, 0, 28, -22, 0, 12, -48, 0, -12, 8, 0, -8, -16, 0, -24, -2, 0, -8, 10, 0, -48, 18, 0, 8, -10, 0, -16, 1, 0, -2, 28, 0, -6, -20, 0, -16, 46, 0, 20, -8, 0, 28, -24, 0, 38, -32, 0, 2, -70, 0, -4, 12, 0, -18, 20, 0, -32, 8, 0, -10, -36, 0, 12, -32, 0, 8, -24, 0, 58, 46, 0, 24, 6, 0, 28, -4, 0, 16, -24, 0, 4, -8, 0, 20, -96, 0, 8, -12, 0, 40, 16, 0, 18, 14, 0, -2, 0, 0, -56, -9, 0, -18, 8, 0, 32, -24, 0, -2, 22, 0, -16, -4, 0, -28, 12, 0, -1, 6, 0, 8, -66, 0, 4, -4, 0, 12, 56, 0, 10, 28, 0, 14, -22, 0, 56, -20, 0, 16, 8, 0, -32, 20, 0, 30, -32, 0, 56, 4, 0, 46, -40, 0, 30, -24, 0, 4, -18, 0, 8, -10, 0, -72, 20, 0, 12, 42, 0, 0, 18, 0, -28, 6, 0, 4, 52, 0, 10, 8, 0, 20, 10, 0, -40, -16, 0, -24, 0, 0, 32, 16, 0, -3, -13, 0, -32, -6, 0, 2, 32, 0, 2, 4, 0, 8, 8, 0, 52, 14, 0, 8, 64, 0, 6, 18, 0, -8, -12, 0, -56, -4, 0, -48, -8, 0, -48, -16, 0, -6, -10, 0, 28, 24, 0, 4, 60, 0, 50, 6, 0, -14, -42, 0, -8, -8, 0, 16, -36, 0, -32, 40, 0, -8, -16, 0, 24, 4, 0, 8, -48, 0, -12, -54, 0, 4, 60, 0, -9, 4, 0, -10, -68, 0, 10, 24, 0, -24, 64, 0, 0, 4, 0, -16, -20, 0, 12, -46, 0, 16, 48, 0, -32, -14, 0, -26, -16, 0, 42, -1, 0, -6, 14, 0, -24, 10, 0, -40, 32, 0, 64, 0, 0, 8, -34, 0, -16, 9, 0, -22, -36, 0, 10, 4, 0, 14, -16, 0, -32, -8, 0, -24, -24, 0, -2, 20, 0, 2, -16, 0, 24, -8, 0, 30, 8, 0, -62, 16, 0, 1, -66, 0, -56, -34, 0, 56, 36, 0, 74, -16, 0, -2, -18, 0, -8, -18, 0, 38, 32, 0, -18, -28, 0, 8, 2, 0, -44, -24, 0, 12, 40, 0, 0, -16, 0, 18, 6, 0, 24, -10, 0, 10, -6, 0, -32, 40, 0, 4, 12, 0, -16, -32, 0, 12, 24, 0, -38, -46, 0, -4, 32, 0, -28, 2, 0, -18, 28, 0, -14, 20, 0, 16, -32, 0, -12, -8, 0, 0, -56, 0, 59, -25, 0, 14, -2, 0, -56, -12, 0, -9, 24, 0, 2, 20, 0, 6, 6, 0, 76, -2, 0, 24, 16, 0, -4, 26, 0, 40, -18, 0, -16, 4, 0, -22, 8, 0, 36, 40, 0, -4, -42, 0, 52, 24, 0, -4, -88, 0, 32, 14, 0, -26, 6, 0, -20, -4, 0, -32, 48, 0, 70, -24, 0, 6, 30, 0, -4, -16, 0, 4, -8, 0, 46, -38, 0, 32, 112, 0, 8, 4, 0, 30, 40, 0, -10, -52, 0, -4, 20, 0, -64, -28, 0, -40, 0, 0, 66, -32, 0, 6, 12, 0, -4, 16, 0, -32, -60, 0, 10, 20, 0, 4, 48, 0, -16, 14, 0, -2, -24, 0, 34, -12, 0, -40, -3, 0, 32, -6, 0, -6, 60, 0, -54, -28, 0, -4, 32, 0, -8, 8, 0, 0, 80, 0, 14, -16, 0, -18, 8, 0, -24, -14, 0, 32, -8, 0, 80, -8, 0, -4, 48, 0, -24, -38, 0, 0, 40, 0, -27, -6, 0, -24, -12, 0, 24, 2, 0, 46, -36, 0, -58, 36, 0, 10, -14, 0, -12, 12, 0, -8, -40, 0, -2, -14, 0, -48, -34, 0, 80, -8, 0, 18, 72, 0, 4, 40, 0, -8, 46, 0, -10, -16, 0, -52, 4, 0, 32, 28, 0, 4, 70, 0, 56, -8, 0, 38, -28, 0, 16, -24, 0, -8, -2, 0, 4, 16, 0, 24, -72, 0, 12, 1, 0, -12, 16, 0, 80, -14, 0, -14, 48, 0, -78, 48, 0, 5, 12, 0, -88, -6, 0, -40, -24, 0, 10, 64, 0, 24, -46, 0, -32, 10, 0, 10, 8, 0, 16, 24, 0, 9, -36, 0, 16, 20, 0, 36, 120, 0, 80, 14, 0, -4, 6, 0, -8, 8, 0, 16, 76, 0, 80, 16, 0, -1, 2, 0, 28, 0, 0, -8, -24, 0, -14, 18, 0, -24, 22, 0, 24, 1, 0, 32, -36, 0, -34, 16, 0, 28, -90, 0, -40, -24, 0, 24, -2, 0, -38, 34, 0, -18, 32, 0, -52, -16, 0, -42, 12, 0, 46, 8, 0, -8, 16, 0, -24, -22, 0, 12, -8, 0, -44, 10, 0, 56, 18, 0, -24, 1, 0, -10, 24, 0, -78, -16, 0, -6, -10, 0, 0, 4, 0, -24, -12, 0, -32, 26, 0, -32, 18, 0, 24, -24, 0, -20, -4, 0, 12, 40, 0, 2, -10, 0, -4, 30, 0, 24, 0, 0, 2, 16, 0, 36, -32, 0, -8, 8, 0, -10, 84, 0, -96, 12, 0, 12, 14, 0, -36, 2, 0, -12, 48, 0, 50, 32, 0, -7, 28, 0, 24, 6, 0, 30, -56, 0, -2, 20, 0, 16, 30, 0, 40, -20, 0, -24, 40, 0, -34, -22, 0, 4, 54, 0, 12, -12, 0, -12, -24, 0, -80, -4, 0, 18, -54, 0, 24, 36, 0, -8, 16, 0, -14, 32, 0, -10, -26, 0, 56, 8, 0, -4, 40, 0, -60, 44, 0, -2, -96, 0, 60, 6, 0, 60, 48, 0, -16, -54, 0, -28, -32, 0, -136, 6, 0, 54, 32, 0, -44, -88, 0, 4, 0, 0, -20, 8, 0, -16, -60, 0, 17, -4, 0, -32, -42, 0, -28, -22, 0, -6, -8, 0, -18, -72, 0, 16, 6, 0, -16, -42, 0, 16, 24, 0, 32, -38, 0, -8, 78, 0, -64, 4, 0, -32, -12, 0, 14, 12, 0, 30, 28, 0, 60, 36, 0, -36, -40, 0, -60, -14, 0, -6, -32, 0, -14, 20, 0, 16, -28, 0, 18, -4, 0, 0, 66, 0, 8, -26, 0, 24, -24, 0, 42, 48, 0, 0, -18, 0, -40, 8, 0, -14, -16, 0, -86, 6, 0, -40, 14, 0, 20, -4, 0, 0, -72, 0, -38, 22, 0, -30, -70, 0, -72, -13, 0, 12, -24, 0, 96, 40, 0, 2, -48, 0, 72, -16, 0, 60, 40, 0, -12, 10, 0, 24, -34, 0, 12, 14, 0, 80, 0, 0, -74, 32, 0, 6, -48, 0, -12, -28, 0, -8, -72, 0, -12, 16, 0, -4, 70, 0, -8, -8, 0, -6, -32, 0, -16, -36, 0, -6, -16, 0, -40, 18, 0, 12, 4, 0, -82, -20, 0, -8, -66, 0, 48, 6, 0, 14, -16, 0, -34, -8, 0, -8, 6, 0, 16, 0, 0, 24, 8, 0, -31, -38, 0, 34, -12, 0, -8, -16, 0, -14, -60, 0, -32, 0, 0, 8, 38, 0, 80, 5, 0, 56, -96, 0, -6, -6, 0, 28, -80, 0, -16, 4, 0, -62, 24, 0, 2, -24, 0, 10, -10, 0, 120, -16, 0, 64, 12, 0, 8, 9, 0, 26, 64, 0, 20, -20, 0, -2, 24, 0, -16, 16, 0, 16, -4, 0, -52, 18, 0, 8, -40, 0, -50, -62, 0, -32, -18, 0, 72, -1, 0, -28, -48, 0, 0, -24, 0, -24, 32, 0, -48, 24, 0, -8, -24, 0, -16, 34, 0, 1, -100, 0, 88, -34, 0, 80, -24, 0, -28, 28, 0, -22, -64, 0, -24, 12, 0, -48, -56, 0, 74, -12, 0, 8, -18, 0, -12, -8, 0, -16, 0, 0, -12, -24, 0, -2, 32, 0, -76, -8, 0, 10, 72, 0, -22, -48, 0, 18, -82, 0, 0, 8, 0, -10, 56, 0, 98, -16, 0, 1, 28, 0, 40, -2, 0, 28, -16, 0, -32, -6, 0, -20, 4, 0, 4, -16, 0, 46, -28, 0, 12, 20, 0, -8, -32, 0, -16, 28, 0, -24, -48, 0, -78, 38, 0, -32, 54, 0, 24, 2, 0, -70, 24, 0, 30, -4, 0, 12, -58, 0, -56, -18, 0, 20, 36, 0, -26, -32, 0, 8, -22, 0, -40, -10, 0, -36, 0, 0, -32, 12, 0, -32, 22, 0, 2, 8, 0, -24, 16, 0, 64, 58, 0, 46, -7, 0, 56, 24, 0, 6, -56, 0, 16, 28, 0, -4, 6, 0, 0, 16, 0, -24, 40, 0, -20, 4, 0, -8, 44, 0, -32, 20, 0, -96, 4, 0, 42, 8, 0, -12, 16, 0, 100, 40, 0, 16, 28, 0, 34, 18, 0, 14, -50, 0, 36, -2, 0, 0, -24, 0, -84, -56, 0, -9, -10, 0, 20, -18, 0, 8, -80, 0, 58, 32, 0, -24, 32, 0, 56, -2, 0, 22, 40, 0, 6, -16, 0, -4, -90, 0, -48, -28, 0, 12, -28, 0, 32, -1, 0, 6, 26, 0, -24, 8, 0, -66, 120, 0, -70, 4, 0, -4, -6, 0, 8, 12, 0, 56, -6, 0, 112, 10, 0, 28, -32, 0, -36, 14, 0, -22, -24, 0, 64, 56, 0, -20, 42, 0, 8, 16, 0, 8, -20, 0, -42, -32, 0, 20, -30, 0, -64, 30, 0, -32, -8, 0, 34, 56, 0, 4, 62, 0, -12, 46, 0, -40, -136, 0, -17, 30, 0, -24, -12, 0, 36, 4, 0, -18, -84, 0, -8, 8, 0, -10, -6, 0, -24, -72, 0, 20, 24, 0, -82, 12, 0, 42, -42, 0, -40, 0, 0, 18, -36, 0, -26, -28, 0, 6, -96, 0, -32, 4, 0, 52, 0, 0, 18, 10, 0, 8, -98, 0, 72, 20, 0, 10, -80, 0, 32, -40, 0, -16, 18, 0, -4, -24, 0, 0, 24, 0, 48, 32, 0, 16, -30, 0, 52, -3, 0, -13, -72, 0, 48, -32, 0, -6, 2, 0, 32, 2, 0, 32, -48, 0, -16, 2, 0, 4, 50, 0, 0, 8, 0, 8, 24, 0, -22, 52, 0, 14, 32, 0, 48, 8, 0, 64, 84, 0, -36, 6, 0, 18, -32, 0, -28, -8, 0, -12, 80, 0, -28, -56, 0, -4, -4, 0, 56, -48, 0, -8, -8, 0, 34, -48, 0, -16, -90, 0, 72, -6, 0, -10, 36, 0, 18, 28, 0, 24, 102, 0, -56, 4, 0, 60, -8, 0, -28, 50, 0, 6, 32, 0, -88, -14, 0, -42, 8, 0, 90, -8, 0, -8, -140, 0, 0, 16, 0, -36, -48, 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, 4, 0, 2, 4, 0, 1, -2, 0, 4, 1, 0, 4, -4, 0, 1, 2, 0, 4, 2, 0, -1, 1, 0, -2, 4, 0, -6, 4, 0, 1, -10, 0, -4, 4, 0, -4, -8, 0, 9, 1, 0, 2, 6, 0, 4, 4, 0, 2, -8, 0, 10, -1, 0, 1, 2, 0, -12, -2, 0, 4, 0, 0, 14, -6, 0, 4, 16, 0, -8, 1, 0, -10, -4, 0, -2, -4, 0, 4, 6, 0, 8, -4, 0, -8, 4, 0, -6, 9, 0, 1, -18, 0, 4, 2, 0, 6, 4, 0, 6, 4, 0, 4, -6, 0, -4, 2, 0, -8, -8, 0, 5, 10, 0, -1, 1, 0, -8, 1, 0, 2, 8, 0, 16, -12, 0, -2, 6, 0, 16, 4, 0, 0, 8, 0, 2, 14, 0, -6, 6, 0, 8, 4, 0, 16, -1, 0, -22, -8, 0, 1, -16, 0, 12, -10, 0, -4, 20, 0, -9, -2, 0, -4, 14, 0, 4, 4, 0, 6, 20, 0, -6, 8, 0, -4, -6, 0, -8, -8, 0, 4, -24, 0, -14, -6, 0, 9, 14, 0, -8, 1, 0, -18, 8, 0, -10, 4, 0, 2, 16, 0, -12, 6, 0, 4, -4, 0, -4, 6, 0, 4, -4, 0, 16, 4, 0, -6, -4, 0, -14, -4, 0, 2, 10, 0, -8, -8, 0, -8, -8, 0, -14, 5, 0, 10, 9, 0, 8, -1, 0, 1, 28, 0, -16, -8, 0, 1, -6, 0, -24, 2, 0, 8, 12, 0, 6, 16, 0, -12, 18, 0, 8, -2, 0, 6, 4, 0, -22, 16, 0, 4, 30, 0, 20, 0, 0, 8, -40, 0, -13, 2, 0, 14, 6, 0, -8, -6, 0, 6, -8, 0, -16, 8, 0, 4, 10, 0, -20, 16, 0, -1, -24, 0, -34, -22, 0, -8, -2, 0, 8, 1, 0, -16, -8, 0, 2, 12, 0, -10, -32, 0, 24, -4, 0, 20, -12, 0, -2, -9, 0, -2, -4, 0, 8, -4, 0, 14, -20, 0, 30, 4, 0, 4, -10, 0, 0, 6, 0, 20, -16, 0, -3, -6, 0, 8, 14, 0, -8, -4, 0, -6, 24, 0, -14, -8, 0, -8, 4, 0, 4, 4, 0, -24, 4, 0, 16, -14, 0, -6, 10, 0, 8, 9, 0, 14, -8, 0, 2, -8, 0, 1, -34, 0, -2, -18, 0, 8, -24, 0, 18, -10, 0, 4, -32, 0, -4, 2, 0, 16, -8, 0, 14, -12, 0, 6, -2, 0, 40, 4, 0, -4, 24, 0, -26, -4, 0, 6, -16, 0, 32, 4, 0, -4, -28, 0, 6, 16, 0, 4, 14, 0, -40, -6, 0, -4, 8, 0, -18, -14, 0, -4, -38, 0, -24, 2, 0, 10, 12, 0, -48, -8, 0, -8, -16, 0, 4, -8, 0, -8, 16, 0, -12, -14, 0, 5, -6, 0, 24, 10, 0, 9, 20, 0, -4, 8, 0, -1, 0, 0, -24, 1, 0, 28, -24, 0, -18, -16, 0, -8, -22, 0, 56, 1, 0, -6, 4, 0, -32, -24, 0, 2, 30, 0, 36, 8, 0, 12, 2, 0, -7, 6, 0, 16, -20, 0, 4, -12, 0, 18, 36, 0, -10, 8, 0, -2, 6, 0, -28, 6, 0, 4, 8, 0, -32, -22, 0, 16, -42, 0, -8, 4, 0, 30, 36, 0, -6, 20, 0, 0, -26, 0, 0, 8, 0, -40, -4, 0, -30, -13, 0, 2, -16, 0, 24, 14, 0, 6, -28, 0, -4, -8, 0, -6, 18, 0, -8, 6, 0, -8, 0, 0, 34, -16, 0, 8, 5, 0, 28, 4, 0, 10, -16, 0, 26, -20, 0, 16, 18, 0, -32, -1, 0, -24, 24, 0, 1, -34, 0, -22, 12, 0, 8, -8, 0, -2, -8, 0, 18, 8, 0, 1, -2, 0, -20, -16, 0, -8, 28, 0, -32, 2, 0, 12, -18, 0, 8, -10, 0, -32, 8, 0, 46, 24, 0, -4, 16, 0, -8, 20, 0, -12, 40, 0, 14, -2, 0, -9, -18, 0, -24, -2, 0, -4, -28, 0, 6, 8, 0, -4, 12, 0, 28, 14, 0, -20, 16, 0, 20, 30, 0, 4, 46, 0, -24, 4, 0, -10, -72, 0, 42, 0, 0, 6, 4, 0, 8, 20, 0, -16, -24, 0, 16, -3, 0, -6, 2, 0, 4, 8, 0, 14, 8, 0, 18, -8, 0, -4, -48, 0, -16, -6, 0, 24, 4, 0, 6, -14, 0, -8, 16, 0, 40, -8, 0, 4, 8, 0, -54, 4, 0, 4, -10, 0, 24, -24, 0, 4, -16, 0, -46, 16, 0, -14, -26, 0, -1, -6, 0, 10, -40, 0, 0, 8, 0, 9, -22, 0, 4, 14, 0, -8, -24, 0, 20, 2, 0, -8, 30, 0, 16, 1, 0, -34, 56, 0, -16, -2, 0, -18, 38, 0, -28, 8, 0, -24, 12, 0, -16, 18, 0, -10, 10, 0, 40, 4, 0, -32, 12, 0, -46, -4, 0, 2, -18, 0, 20, 16, 0, -8, 0, 0, -25, 14, 0, -12, -9, 0, 20, 6, 0, -2, 24, 0, 26, 40, 0, 4, -22, 0, 40, -4, 0, 24, -4, 0, 14, -26, 0, -4, -32, 0, -24, 6, 0, -16, 4, 0, -38, 32, 0, 4, 30, 0, -52, -4, 0, -28, -40, 0, -32, 6, 0, 16, -32, 0, 20, 4, 0, 14, -2, 0, -12, -40, 0, -6, -6, 0, -28, -4, 0, 8, 0, 0, -16, -18, 0, -14, 32, 0, -8, -4, 0, -38, 0, 0, -6, -24, 0, 2, 46, 0, 36, 10, 0, 12, -8, 0, -14, -48, 0, -8, 18, 0, 40, -8, 0, -16, -52, 0, 28, 4, 0, -8, 38, 0, -24, -8, 0, 16, 24, 0, 1, -12, 0, -14, -14, 0, 48, 5, 0, -6, -40, 0, 64, 24, 0, 10, 10, 0, 24, 9, 0, 20, 36, 0, 14, -4, 0, 8, 16, 0, 16, -1, 0, 0, -8, 0, 18, -24, 0, 1, 32, 0, 16, 28, 0, -24, 24, 0, 34, -18, 0, -16, -42, 0, 8, -8, 0, -22, 12, 0, 10, 56, 0, 1, -10, 0, -16, -6, 0, 4, -24, 0, 26, -32, 0, -24, -20, 0, 40, 2, 0, 30, 24, 0, 16, 36, 0, 8, -10, 0, 12, 12, 0, 2, -12, 0, 32, -7, 0, 6, 30, 0, 20, 16, 0, -20, -24, 0, -22, 4, 0, -12, -12, 0, -4, 18, 0, 36, -8, 0, 32, -10, 0, 8, -4, 0, 44, -2, 0, 6, 60, 0, -54, -28, 0, 6, 54, 0, -88, 4, 0, 8, -16, 0, -4, -32, 0, -22, -6, 0, -72, 16, 0, -42, 16, 0, -38, -8, 0, 4, -32, 0, 12, 30, 0, 36, -36, 0, -14, -6, 0, 20, 16, 0, -4, 0, 0, -26, 24, 0, 48, 0, 0, 8, -14, 0, 6, -40, 0, -4, 0, 0, 22, -30, 0, -13, 12, 0, 40, 2, 0, -16, 60, 0, 10, 24, 0, 14, 80, 0, 32, 6, 0, -28, -8, 0, 16, -4, 0, -8, -6, 0, -36, -6, 0, 18, 12, 0, -20, -8, 0, 6, 14, 0, -8, -8, 0, 0, 24, 0, -38, 34, 0, -16, -14, 0, 0, 8, 0, 5, 56, 0, -6, 28, 0, 4, -62, 0, -24, 10, 0, -16, 64, 0, 9, 26, 0, -20, -2, 0, 16, 16, 0, 18, 8, 0, -62, -32, 0, -1, -28, 0, -24, -24, 0, 24, -8, 0, 34, 1, 0, -34, 80, 0, 28, -22, 0, 12, -48, 0, -12, 8, 0, -8, -16, 0, -24, -2, 0, -8, 10, 0, -48, 18, 0, 8, -10, 0, -16, 1, 0, -2, 28, 0, -6, -20, 0, -16, 46, 0, 20, -8, 0, 28, -24, 0, 38, -32, 0, 2, -70, 0, -4, 12, 0, -18, 20, 0, -32, 8, 0, -10, -36, 0, 12, -32, 0, 8, -24, 0, 58, 46, 0, 24, 6, 0, 28, -4, 0, 16, -24, 0, 4, -8, 0, 20, -96, 0, 8, -12, 0, 40, 16, 0, 18, 14, 0, -2, 0, 0, -56, -9, 0, -18, 8, 0, 32, -24, 0, -2, 22, 0, -16, -4, 0, -28, 12, 0, -1, 6, 0, 8, -66, 0, 4, -4, 0, 12, 56, 0, 10, 28, 0, 14, -22, 0, 56, -20, 0, 16, 8, 0, -32, 20, 0, 30, -32, 0, 56, 4, 0, 46, -40, 0, 30, -24, 0, 4, -18, 0, 8, -10, 0, -72, 20, 0, 12, 42, 0, 0, 18, 0, -28, 6, 0, 4, 52, 0, 10, 8, 0, 20, 10, 0, -40, -16, 0, -24, 0, 0, 32, 16, 0, -3, -13, 0, -32, -6, 0, 2, 32, 0, 2, 4, 0, 8, 8, 0, 52, 14, 0, 8, 64, 0, 6, 18, 0, -8, -12, 0, -56, -4, 0, -48, -8, 0, -48, -16, 0, -6, -10, 0, 28, 24, 0, 4, 60, 0, 50, 6, 0, -14, -42, 0, -8, -8, 0, 16, -36, 0, -32, 40, 0, -8, -16, 0, 24, 4, 0, 8, -48, 0, -12, -54, 0, 4, 60, 0, -9, 4, 0, -10, -68, 0, 10, 24, 0, -24, 64, 0, 0, 4, 0, -16, -20, 0, 12, -46, 0, 16, 48, 0, -32, -14, 0, -26, -16, 0, 42, -1, 0, -6, 14, 0, -24, 10, 0, -40, 32, 0, 64, 0, 0, 8, -34, 0, -16, 9, 0, -22, -36, 0, 10, 4, 0, 14, -16, 0, -32, -8, 0, -24, -24, 0, -2, 20, 0, 2, -16, 0, 24, -8, 0, 30, 8, 0, -62, 16, 0, 1, -66, 0, -56, -34, 0, 56, 36, 0, 74, -16, 0, -2, -18, 0, -8, -18, 0, 38, 32, 0, -18, -28, 0, 8, 2, 0, -44, -24, 0, 12, 40, 0, 0, -16, 0, 18, 6, 0, 24, -10, 0, 10, -6, 0, -32, 40, 0, 4, 12, 0, -16, -32, 0, 12, 24, 0, -38, -46, 0, -4, 32, 0, -28, 2, 0, -18, 28, 0, -14, 20, 0, 16, -32, 0, -12, -8, 0, 0, -56, 0, 59, -25, 0, 14, -2, 0, -56, -12, 0, -9, 24, 0, 2, 20, 0, 6, 6, 0, 76, -2, 0, 24, 16, 0, -4, 26, 0, 40, -18, 0, -16, 4, 0, -22, 8, 0, 36, 40, 0, -4, -42, 0, 52, 24, 0, -4, -88, 0, 32, 14, 0, -26, 6, 0, -20, -4, 0, -32, 48, 0, 70, -24, 0, 6, 30, 0, -4, -16, 0, 4, -8, 0, 46, -38, 0, 32, 112, 0, 8, 4, 0, 30, 40, 0, -10, -52, 0, -4, 20, 0, -64, -28, 0, -40, 0, 0, 66, -32, 0, 6, 12, 0, -4, 16, 0, -32, -60, 0, 10, 20, 0, 4, 48, 0, -16, 14, 0, -2, -24, 0, 34, -12, 0, -40, -3, 0, 32, -6, 0, -6, 60, 0, -54, -28, 0, -4, 32, 0, -8, 8, 0, 0, 80, 0, 14, -16, 0, -18, 8, 0, -24, -14, 0, 32, -8, 0, 80, -8, 0, -4, 48, 0, -24, -38, 0, 0, 40, 0, -27, -6, 0, -24, -12, 0, 24, 2, 0, 46, -36, 0, -58, 36, 0, 10, -14, 0, -12, 12, 0, -8, -40, 0, -2, -14, 0, -48, -34, 0, 80, -8, 0, 18, 72, 0, 4, 40, 0, -8, 46, 0, -10, -16, 0, -52, 4, 0, 32, 28, 0, 4, 70, 0, 56, -8, 0, 38, -28, 0, 16, -24, 0, -8, -2, 0, 4, 16, 0, 24, -72, 0, 12, 1, 0, -12, 16, 0, 80, -14, 0, -14, 48, 0, -78, 48, 0, 5, 12, 0, -88, -6, 0, -40, -24, 0, 10, 64, 0, 24, -46, 0, -32, 10, 0, 10, 8, 0, 16, 24, 0, 9, -36, 0, 16, 20, 0, 36, 120, 0, 80, 14, 0, -4, 6, 0, -8, 8, 0, 16, 76, 0, 80, 16, 0, -1, 2, 0, 28, 0, 0, -8, -24, 0, -14, 18, 0, -24, 22, 0, 24, 1, 0, 32, -36, 0, -34, 16, 0, 28, -90, 0, -40, -24, 0, 24, -2, 0, -38, 34, 0, -18, 32, 0, -52, -16, 0, -42, 12, 0, 46, 8, 0, -8, 16, 0, -24, -22, 0, 12, -8, 0, -44, 10, 0, 56, 18, 0, -24, 1, 0, -10, 24, 0, -78, -16, 0, -6, -10, 0, 0, 4, 0, -24, -12, 0, -32, 26, 0, -32, 18, 0, 24, -24, 0, -20, -4, 0, 12, 40, 0, 2, -10, 0, -4, 30, 0, 24, 0, 0, 2, 16, 0, 36, -32, 0, -8, 8, 0, -10, 84, 0, -96, 12, 0, 12, 14, 0, -36, 2, 0, -12, 48, 0, 50, 32, 0, -7, 28, 0, 24, 6, 0, 30, -56, 0, -2, 20, 0, 16, 30, 0, 40, -20, 0, -24, 40, 0, -34, -22, 0, 4, 54, 0, 12, -12, 0, -12, -24, 0, -80, -4, 0, 18, -54, 0, 24, 36, 0, -8, 16, 0, -14, 32, 0, -10, -26, 0, 56, 8, 0, -4, 40, 0, -60, 44, 0, -2, -96, 0, 60, 6, 0, 60, 48, 0, -16, -54, 0, -28, -32, 0, -136, 6, 0, 54, 32, 0, -44, -88, 0, 4, 0, 0, -20, 8, 0, -16, -60, 0, 17, -4, 0, -32, -42, 0, -28, -22, 0, -6, -8, 0, -18, -72, 0, 16, 6, 0, -16, -42, 0, 16, 24, 0, 32, -38, 0, -8, 78, 0, -64, 4, 0, -32, -12, 0, 14, 12, 0, 30, 28, 0, 60, 36, 0, -36, -40, 0, -60, -14, 0, -6, -32, 0, -14, 20, 0, 16, -28, 0, 18, -4, 0, 0, 66, 0, 8, -26, 0, 24, -24, 0, 42, 48, 0, 0, -18, 0, -40, 8, 0, -14, -16, 0, -86, 6, 0, -40, 14, 0, 20, -4, 0, 0, -72, 0, -38, 22, 0, -30, -70, 0, -72, -13, 0, 12, -24, 0, 96, 40, 0, 2, -48, 0, 72, -16, 0, 60, 40, 0, -12, 10, 0, 24, -34, 0, 12, 14, 0, 80, 0, 0, -74, 32, 0, 6, -48, 0, -12, -28, 0, -8, -72, 0, -12, 16, 0, -4, 70, 0, -8, -8, 0, -6, -32, 0, -16, -36, 0, -6, -16, 0, -40, 18, 0, 12, 4, 0, -82, -20, 0, -8, -66, 0, 48, 6, 0, 14, -16, 0, -34, -8, 0, -8, 6, 0, 16, 0, 0, 24, 8, 0, -31, -38, 0, 34, -12, 0, -8, -16, 0, -14, -60, 0, -32, 0, 0, 8, 38, 0, 80, 5, 0, 56, -96, 0, -6, -6, 0, 28, -80, 0, -16, 4, 0, -62, 24, 0, 2, -24, 0, 10, -10, 0, 120, -16, 0, 64, 12, 0, 8, 9, 0, 26, 64, 0, 20, -20, 0, -2, 24, 0, -16, 16, 0, 16, -4, 0, -52, 18, 0, 8, -40, 0, -50, -62, 0, -32, -18, 0, 72, -1, 0, -28, -48, 0, 0, -24, 0, -24, 32, 0, -48, 24, 0, -8, -24, 0, -16, 34, 0, 1, -100, 0, 88, -34, 0, 80, -24, 0, -28, 28, 0, -22, -64, 0, -24, 12, 0, -48, -56, 0, 74, -12, 0, 8, -18, 0, -12, -8, 0, -16, 0, 0, -12, -24, 0, -2, 32, 0, -76, -8, 0, 10, 72, 0, -22, -48, 0, 18, -82, 0, 0, 8, 0, -10, 56, 0, 98, -16, 0, 1, 28, 0, 40, -2, 0, 28, -16, 0, -32, -6, 0, -20, 4, 0, 4, -16, 0, 46, -28, 0, 12, 20, 0, -8, -32, 0, -16, 28, 0, -24, -48, 0, -78, 38, 0, -32, 54, 0, 24, 2, 0, -70, 24, 0, 30, -4, 0, 12, -58, 0, -56, -18, 0, 20, 36, 0, -26, -32, 0, 8, -22, 0, -40, -10, 0, -36, 0, 0, -32, 12, 0, -32, 22, 0, 2, 8, 0, -24, 16, 0, 64, 58, 0, 46, -7, 0, 56, 24, 0, 6, -56, 0, 16, 28, 0, -4, 6, 0, 0, 16, 0, -24, 40, 0, -20, 4, 0, -8, 44, 0, -32, 20, 0, -96, 4, 0, 42, 8, 0, -12, 16, 0, 100, 40, 0, 16, 28, 0, 34, 18, 0, 14, -50, 0, 36, -2, 0, 0, -24, 0, -84, -56, 0, -9, -10, 0, 20, -18, 0, 8, -80, 0, 58, 32, 0, -24, 32, 0, 56, -2, 0, 22, 40, 0, 6, -16, 0, -4, -90, 0, -48, -28, 0, 12, -28, 0, 32, -1, 0, 6, 26, 0, -24, 8, 0, -66, 120, 0, -70, 4, 0, -4, -6, 0, 8, 12, 0, 56, -6, 0, 112, 10, 0, 28, -32, 0, -36, 14, 0, -22, -24, 0, 64, 56, 0, -20, 42, 0, 8, 16, 0, 8, -20, 0, -42, -32, 0, 20, -30, 0, -64, 30, 0, -32, -8, 0, 34, 56, 0, 4, 62, 0, -12, 46, 0, -40, -136, 0, -17, 30, 0, -24, -12, 0, 36, 4, 0, -18, -84, 0, -8, 8, 0, -10, -6, 0, -24, -72, 0, 20, 24, 0, -82, 12, 0, 42, -42, 0, -40, 0, 0, 18, -36, 0, -26, -28, 0, 6, -96, 0, -32, 4, 0, 52, 0, 0, 18, 10, 0, 8, -98, 0, 72, 20, 0, 10, -80, 0, 32, -40, 0, -16, 18, 0, -4, -24, 0, 0, 24, 0, 48, 32, 0, 16, -30, 0, 52, -3, 0, -13, -72, 0, 48, -32, 0, -6, 2, 0, 32, 2, 0, 32, -48, 0, -16, 2, 0, 4, 50, 0, 0, 8, 0, 8, 24, 0, -22, 52, 0, 14, 32, 0, 48, 8, 0, 64, 84, 0, -36, 6, 0, 18, -32, 0, -28, -8, 0, -12, 80, 0, -28, -56, 0, -4, -4, 0, 56, -48, 0, -8, -8, 0, 34, -48, 0, -16, -90, 0, 72, -6, 0, -10, 36, 0, 18, 28, 0, 24, 102, 0, -56, 4, 0, 60, -8, 0, -28, 50, 0, 6, 32, 0, -88, -14, 0, -42, 8, 0, 90, -8, 0, -8, -140, 0, 0, 16, 0, -36, -48, 0]}