# Stored data for newform 7935.2.a.h, downloaded from the LMFDB on 15 August 2026.
{"Nk2": 31740, "analytic_conductor": 63.36129400388599, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [5, -1], [23, -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": [7935, 1, [5291, 4762, 7411], [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": [[2, [0, 1]], [7, [-2, 1]], [11, [1, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197425155839, "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": "7935.2.a.h", "level": 7935, "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": [3, 5, 23], "level_radical": 345, "minimal_twist": "7935.2.a.f", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{3}-2q^{4}+q^{5}+2q^{7}+q^{9}-q^{11}+\\cdots", "related_objects": ["EllipticCurve/Q/7935/h"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7935.2.a", "trace_display": [0, -1, 1, 2], "trace_hash": 40457004378302516, "trace_moments": [{"__RealLiteral__": 0, "data": "0.022", "prec": 7}, {"__RealLiteral__": 0, "data": "0.985", "prec": 10}, {"__RealLiteral__": 0, "data": "0.057", "prec": 7}, {"__RealLiteral__": 0, "data": "1.963", "prec": 14}, {"__RealLiteral__": 0, "data": "0.179", "prec": 10}, {"__RealLiteral__": 0, "data": "4.928", "prec": 14}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.017", "prec": 7}, "traces": [0, 1, 0, -1, -2, 1, 0, 2, 0, 1, 0, -1, 2, 6, 0, -1, 4, -2, 0, -3, -2, -2, 0, 0, 0, 1, 0, -1, -4, -10, 0, 3, 0, 1, 0, 2, -2, -4, 0, -6, 0, 9, 0, -8, 2, 1, 0, -6, -4, -3, 0, 2, -12, 0, 0, -1, 0, 3, 0, 0, 2, -13, 0, 2, -8, 6, 0, -2, 4, 0, 0, 7, 0, -6, 0, -1, 6, -2, 0, -5, 4, 1, 0, 16, 4, -2, 0, 10, 0, 14, 0, 12, 0, -3, 0, -3, 0, -12, 0, -1, -2, 3, 0, 14, 0, -2, 0, 0, 2, 1, 0, 4, 8, -12, 0, 0, 20, 6, 0, -4, 0, -10, 0, -9, -6, 1, 0, -12, 0, 8, 0, -21, -2, -6, 0, -1, 0, 2, 0, 11, -4, 6, 0, -6, 4, -10, 0, 3, 8, 5, 0, -3, 0, -2, 0, 3, 12, -8, 0, 0, 0, 0, 0, 2, -18, 1, 0, -12, 0, 23, 0, -3, 16, 24, 0, 2, -4, 0, 0, 19, -2, 21, 0, 13, 0, -4, 0, 2, 12, -2, 0, 0, 8, -26, 0, -6, 6, -12, 0, -7, 0, 2, 0, -20, -4, 9, 0, 0, 24, 3, 0, 1, 0, -7, 0, -8, 0, 6, 0, 6, 2, -12, 0, 14, 0, 1, 0, -18, -6, -13, 0, 2, 0, 10, 0, -6, 0, 5, 0, 1, -4, -13, 0, -1, 26, -3, 0, -18, 0, -16, 0, 9, -4, 0, 0, 2, 16, -4, 0, -8, -12, -10, 0, -22, 0, 0, 0, -14, 4, 15, 0, 8, -8, -12, 0, -1, 0, -4, 0, 3, 0, -29, 0, -20, -14, 3, 0, 18, 0, -13, 0, 12, 12, -8, 0, 0, 0, 1, 0, 0, 2, -16, 0, -3, -12, -13, 0, 22, 4, -14, 0, 16, 0, -14, 0, 2, 10, 2, 0, 10, -8, 0, 0, 6, -2, 6, 0, -1, 0, -12, 0, -13, -32, -4, 0, -2, -8, -32, 0, 12, 4, -3, 0, -20, 0, 0, 0, 28, -20, -18, 0, -6, 0, 14, 0, 7, -28, 4, 0, -24, 0, -10, 0, 10, -24, -6, 0, -10, 0, 9, 0, 0, 6, -20, 0, -1, 0, -60, 0, 20, 6, 12, 0, 30, 0, -2, 0, -8, 24, 5, 0, 0, 0, 21, 0, -5, 2, 20, 0, 6, 4, -27, 0, 18, -6, 1, 0, 4, 0, -1, 0, -2, -28, 0, 0, 16, 0, -11, 0, 35, 4, -33, 0, -6, 0, -2, 0, -26, 0, 6, 0, 27, -4, 12, 0, 10, -2, 0, 0, -40, 0, -3, 0, -14, -8, 14, 0, -5, -16, -34, 0, -9, 24, 3, 0, 12, 0, 24, 0, 2, 0, -1, 0, -6, -40, -3, 0, -18, -12, -4, 0, 8, 0, 8, 0, -3, 8, 0, 0, -11, 0, -24, 0, 0, 20, -12, 0, 6, 0, -2, 0, -36, 18, 20, 0, -1, 12, 14, 0, -1, -2, 12, 0, 38, 0, 3, 0, -23, 24, -26, 0, -12, 0, 3, 0, 14, -16, 6, 0, -24, 0, -35, 0, -34, 42, -2, 0, -6, 4, 0, 0, 0, 12, 54, 0, 0, 0, -19, 0, 3, 2, 23, 0, -21, 0, 1, 0, -12, -4, -13, 0, 30, 0, -10, 0, 4, -22, -38, 0, -48, 8, -2, 0, 22, -12, -12, 0, 2, 0, -27, 0, 39, 12, 0, 0, 0, -8, 8, 0, 26, 20, 32, 0, 0, 0, 6, 0, -28, -6, -9, 0, 12, -16, 6, 0, -4, -10, 7, 0, -27, 0, 41, 0, -2, 6, -10, 0, -14, 0, 20, 0, -36, 4, -20, 0, -9, 0, -4, 0, -3, -6, 0, 0, 28, -24, 1, 0, -3, 16, 8, 0, -17, 0, -1, 0, -12, 0, -18, 0, 7, 0, -13, 0, 28, 0, 8, 0, -12, 0, 0, 0, -6, -4, 28, 0, -21, 36, -6, 0, -15, -2, 3, 0, 12, 0, -6, 0, 0, 24, -14, 0, 13, 0, -30, 0, -1, -46, 28, 0, -24, 0, 18, 0, 42, 6, 2, 0, 13, -32, 0, 0, 7, -48, -2, 0, 11, 0, -18, 0, -10, -4, 18, 0, 12, 8, 6, 0, 6, 0, -10, 0, -5, 0, 0, 0, -6, -38, -1, 0, -24, 4, 28, 0, 13, -42, -10, 0, 16, 0, 1, 0, 16, -26, 0, 0, 3, 0, 2, 0, 3, 8, 18, 0, 26, 0, 5, 0, 16, -4, 0, 0, -16, -24, -9, 0, -3, 4, 14, 0, 0, 0, -13, 0, 2, 0, -2, 0, 0, -16, 15, 0, 4, 52, -42, 0, 3, 0, 8, 0, -27, 12, -7, 0, 10, -12, -8, 0, -26, 24, 22, 0, -24, 0, -78, 0, 0, 14, 34, 0, 12, 0, 14, 0, 6, -4, 0, 0, -15, 0, -15, 0, -5, 40, -8, 0, 2, 8, 24, 0, 12, -18, -19, 0, -46, 0, 1, 0, 22, 0, -29, 0, 4, -48, 6, 0, -12, -6, -3, 0, 35, 0, 71, 0, 29, -2, 23, 0, -20, 0, 20, 0, 0, 14, 20, 0, -3, 0, -18, 0, 36, 16, -18, 0, 36, 0, 24, 0, 13, -12, 5, 0, -12, 0, -12, 0, 2, -12, -14, 0, 8, -4, 38, 0, 36, 24, 0, 0, -30, 0, -24, 0, -1, -28, 18, 0, 19, 0, 0, 0, -30, -2, 0, 0, 16, 0, 21, 0, -36, 36, 3, 0, -15, 12, -16, 0, 13, 26, -42, 0, -49, 0, -22, 0, 42, -4, -4, 0, 14, 0, 15, 0, 9, -20, -16, 0, 2, 0, 0, 0, 14, 12, 13, 0, 0, 0, -2, 0, 26, -10, -36, 0, -2, 0, -38, 0, 0, -2, -10, 0, 4, 8, -22, 0, 0, 26, -26, 0, 22, 0, -6, 0, -56, 2, 22, 0, -6, -52, -54, 0, -14, 6, 1, 0, -42, 0, -12, 0, 12, 36, 0, 0, 40, 0, 13, 0, -7, 32, 22, 0, 4, 0, -12, 0, 0, -18, 2, 0, 0, 8, -46, 0, 32, 0, -30, 0, -20, 0, -12, 0, -52, -4, 59, 0, 3, -32, 9, 0, -30, 8, 20, 0, 15, 0, -34, 0, 0, 16, 26, 0, -37, 24, -28, 0, 10, 20, 3, 0, 18, 0, 63, 0, -52, 44, 6, 0, 1, 0, -6, 0, -14, 0, 23, 0, -36, 0, -7, 0, 12, 28, -3, 0, -4, -8, 40, 0, -8, -30, 24, 0, 96, 0, 0, 0, 10, -16, 6, 0, 40, 16, -10, 0, 60, 24, 2, 0, 6, 0, 42, 0, -16, 2, 10, 0, 40, 0, -12, 0, -9, 8, 3, 0, -3, 0, 0, 0, 14, -6, 32, 0, 20, 0, 0, 0, 8, 58, 1, 0, 0, 0, 23, 0, 60, 40, -14, 0, -18, 28, -20, 0, 4, -6, 4, 0, -12, 0, -13, 0, -12, -36, -30, 0, -3, 0, 56, 0, 2, 26, 84, 0, 39, 0, 8, 0, 56, -24, 10, 0, -5, -24, -24, 0, -36, 16, 0, 0, -6, 0, 0, 0, -21, 0, -19, 0, 46, 0, 5, 0, 26, -2, -90, 0, -20, 0, -56, 0, 1, 0, -6, 0, -1, -4, 30, 0, 27, 32, -13, 0, -14, 0, -18, 0, 48, 6, 8, 0, -1, 24, 12, 0, 0, 26, -4, 0, 24, 0, -3, 0, 1, -44, -25, 0, -61, -8, 2, 0, -18, 28, 10, 0, 0, 0, 12, 0, 12, -32, -16, 0, 80, 0, -53, 0, 11, 28, 38, 0, 9, 0, -35, 0, -37, -4, -72, 0, 33, -20, 0, 0, 42, -4, 6, 0, 27, 0, 6, 0, 2, -20, 6, 0, 49, 16, 26, 0, -6, 0, -4, 0, -6, 0, -10, 0, 59, -12, -27, 0, -8, 4, 30, 0, -12, -12, -2, 0, -46, 0, -10, 0, 70, 2, 4, 0, 0, 0, 18, 0, -22, 24, 40, 0, -9, 0, 63, 0, 3, 26, 0, 0, -48, 64, 14, 0, 21, 8, -24, 0, -14, 0, 0, 0, 84, 4, 5, 0, 10, 16, 15, 0, 34, 64, -21, 0, -52, 0, 9, 0, 8, -24, 0, 0, -3, -8, -10, 0, 60, 6, -12, 0, 30, 0, -21, 0, -24, 40, 28, 0, -1, 0, -2, 0, -24, 0, -50, 0, 1, 0, -4, 0, 18, -56, 6, 0, 0, 40, -14, 0, 3, 36, 12, 0, 45, 0, 18, 0, 0, 12, -29, 0, 4, 0, 69, 0, -32, -28, -8, 0, -20, 0, 6, 0, -8, -14, 30, 0, -44, 56, 3, 0, 44, -8, -13, 0, 0, 0, 0, 0, 18, 48, 11, 0, -48, 0, 21, 0, 24, 20, -13, 0, -56, 0, 0, 0, 28, -20, 4, 0, 12, 48, -18, 0, 12, 12, -6, 0, 6, 0, -8, 0, 2, 20, -72, 0, -32, 0, 36, 0, 0, -18, 2, 0, -20, 0, -7, 0, 32, 0, 1, 0, 18, -12, -22, 0, -14, 40, -48, 0, 0, 0, 1, 0, 5, 2, 15, 0, -12, 0, -16, 0, -2, 120, -38, 0, -36, 0, -28, 0, -3, -40, -36, 0, -9, -12, 23, 0, -12, -24, -13, 0, 26, 0, -11, 0, -15, -60, 12, 0, 22, 0, 0, 0, -3, 4, 0, 0, 60, 0, -14, 0, -24, 16, 13, 0, -6, -48, 26, 0, 16, -10, 24, 0, -53, 0, 28, 0, 35, 0, -14, 0, 40, 0, 34, 0, 63, -42, -60, 0, 2, 0, -48, 0, -49, 10, 6, 0, 26, -4, 2, 0, 0, -40, -36, 0, 32, 0, 0, 0, 10, -12, 60, 0, -54, -8, -63, 0, -26, 54, 0, 0, 30, 0, -54, 0, 19, -36, 42, 0, 6, 12, -3, 0, 60, -2, -10, 0, -23, 0, 6, 0, 30, -8, 21, 0, 20, 0, 0, 0, -1, 2, 16, 0, -5, 0, 12, 0, 0, 4, -12, 0, 13, 56, 24, 0, -72, 0, -30, 0, -13, 0, -78, 0, 10, -32, 3, 0, 22, 0, -4, 0, -38, 22, -71, 0, 38, 0, 2, 0, -2, -70, 48, 0, 0, -8, 40, 0, 2, 66, -32, 0, -26, 0, -22, 0, -42, 12, -44, 0, 12, 0, 20, 0, 13, 4, -2, 0, -126, 0, -3, 0, 27, 52, -33, 0, 0, 0, -39, 0, -20, -12, -6, 0, 0, 0, 17, 0, -20, -54, 0, 0, 8, 8, -36, 0, -8, -24, -66, 0, 28, 0, -26, 0, 24, -20, 50, 0, -32, 4, -18, 0, -20, 0, 0, 0, -28, 0, -20, 0, -6, 80, 18, 0, -31, 0, 28, 0, -72, 6, 14, 0, 9, 0, 130, 0, 0, 28, -12, 0, 7, 16, 18, 0, -6, -28, 12, 0, 70, 0, 4, 0, -12, 10, -11, 0, -7, 32, -2, 0, -24, 68, 27, 0, -8, 0, 51, 0, -41, 18, -10, 0, 66, -48, 2, 0, -43, -6, 12, 0, 10, 0, 0, 0, 0, -24, 14, 0, 64, 0, -6, 0, -20, -48, 0, 0, -5, 0, 36, 0, -10, -4, 12, 0, 20, 0, -44, 0, 36, 2, 9, 0, -76, 0, 21, 0, 4, 12, -2, 0, 0, 80, 3, 0, -23, 6, 10, 0, 0, 0, -20, 0, -28, 36, -28, 0, 0, 24, -14, 0, -1, 8, -78, 0, 11, 0, 3, 0, 30, -16, -60, 0, -8, 0, 23, 0, -39, -16, 17, 0, 20, 0, 16, 0, 1, 6, -6, 0, -24, -16, 12, 0, -68, 0, 0, 0, 18, 0, -4, 0, 30, 22, -7, 0, -9, 0, 24, 0, 13, 48, -2, 0, -54, 0, -28, 0, -28, 0, 26, 0, -8, -40, 30, 0, -8, 24, 12, 0, 20, 0, 5, 0, 0, -12, 46, 0, 5, 0, 6, 0, 0, 4, -42, 0, -28, 0, 0, 0, -18, 72, 21, 0, -58, -36, -19, 0, 6, -40, -84, 0, -5, 0, 15, 0, 48, 2, -40, 0, -3, -24, 20, 0, 62, -28, -12, 0, -21, 0, 62, 0, 6, 2, 58, 0, -40, 4, 0, 0, -56, -24, -27, 0, 14, 0, -27, 0, -25, -76, -13, 0, 18, 0, 72, 0, 30, -6, 48, 0, -26, 0, 1, 0, 42, 46, -21, 0, -28, -48, 0, 0, 4, 52, 24, 0, 31, 0, -48, 0, -18, 24, -1, 0, 0, 0, -42, 0, -16, -6, 38, 0, -2, 0, 20, 0, -70, -28, -13, 0, 38, 32, 0, 0, 0, -12, 6, 0, -3, 0, -7, 0, 16, 48, -6, 0, 2, 0, -34, 0, 28, 70, -11, 0, 54, 0, -26, 0, 18, 68, 0, 0, 35, -84, 10, 0, 87, 4, 0, 0, -18, 0, -33, 0, 24, 12, -12, 0, -72, -8, 14, 0, -6, 0, 60, 0, 12, 0, -6, 0, 26, 0, -2, 0, 10, -24, 59, 0, 11, -108, 5, 0, -26, 0, 60, 0, 0, 0, 9, 0, 34, 0, 6, 0, 36, 38, 44, 0, 1, 0, -36, 0, 27, -6, 24, 0, 24, -4, -10, 0, -28, -46, 12, 0, 12, 0, -13, 0, -72, 42, 0, 0, 10, 0, 32, 0, 69, -2, -16, 0, 0, 0, 0, 0, -1, 24, 7, 0, -28, 8, -16, 0, -40, 26, 60, 0, 0, 0, 21, 0, -42, -60, -3, 0, 0, 0, -11, 0, -2, 20, 18, 0, -14, 0, -3, 0, 4, -8, -51, 0, -18, 44, 14, 0, 42, 76, -26, 0, 0, 0, 20, 0, -5, 96, -6, 0, 31, -16, -16, 0, -12, 4, -34, 0, 0, 0, 144, 0, -49, -44, 16, 0, -9, 24, 52, 0, 9, 24, 12, 0, -18, 0, 3, 0, 8, -4, -18, 0, -14, 0, 70, 0, 12, 54, 0, 0, 0, 0, 90, 0, 13, -78, 24, 0, -58, -24, -2, 0, 50, 0, -62, 0, 2, 0, -80, 0, 30, 0, 0, 0, 18, 16, -1, 0, -15, -16, 15, 0, 23, 0, -4, 0, -6, -52, -26, 0, 42, -40, -1, 0, 0, -64, -3, 0, 114, 0, -4, 0, -8, 0, -4, 0, -18, 0, 27, 0, -36, -12, -90, 0, 7, 0, -4, 0, -44, 56, -10, 0, 0, 12, 126, 0, 8, 18, 34, 0, -64, 0, 26, 0, -22, -24, 8, 0, -22, 32, 0, 0, -55, -12, 24, 0, -3, 0, 58, 0, 78, 8, -27, 0, -56, 20, 0, 0, -6, -14, -74, 0, -34, 0, -28, 0, -11, 54, -12, 0, -21, 0, -19, 0, -14, -82, -24, 0, -160, 0, -6, 0, -3, 4, 36, 0, 0, -12, -22, 0, 0, 20, 15, 0, -26, 0, -12, 0, 15, 28, 56, 0, 12, 0, 5, 0, 6, -40, -10, 0, 8, 0, 51, 0, -36, 72, -2, 0, -24, -8, -15, 0, -24, 40, -14, 0, -36, 0, -12, 0, 76, 18, 0, 0, 19, 0, 20, 0, 44, 8, 46, 0, 28, 0, -44, 0, -1, 6, -20, 0, 8, 12, -22, 0, 0, 0, 14, 0, 29, 0, 63, 0, 0, -56, -4, 0, -1, 48, 18, 0, -6, -2, -117, 0, 4, 0, 12, 0, 0, 6, -156, 0, 3, -32, -48, 0, 38, -16, -35, 0, 13, 0, 43, 0, -71, 34, 3, 0, -20, 0, -29, 0, -31, 2, -10, 0, -23, 0, 0, 0, 44, 24, 20, 0, 12, 0, -26, 0, -20, 36, -39, 0, -95, 0, 0, 0, -12, -14, 38, 0, -20, 0, -72, 0, -10, 26, 3, 0, 6, 0, -20, 0, 18, -56, 48, 0, 14, 0, -36, 0, -76, -16, -140, 0, 18, 0, 6, 0, -42, 24, -36, 0, 55, 0, 74, 0, -24, 0, 0, 0, 0, 0, -13, 0, -6, 12, -35, 0, -5, 8, -86, 0, -40, -56, 12, 0, -34, 0, 38, 0, 12, 42, 2, 0, 104, -72, -2, 0, -28, 12, -1, 0, 14, 0, -30, 0, -6, 30, -8, 0, -120, 4, -33, 0, -38, -6, 0, 0, 54, 0, -36, 0, 13, -24, 40, 0, 0, 0, 22, 0, -36, 12, 30, 0, 102, 0, 54, 0, 24, 0, 16, 0, -69, -48, 1, 0, 0, 28, 14, 0, -18, 0, 60, 0, -10, -26, -19, 0, 76, 0, 82, 0, 0, 60, 16, 0, 3, 0, 30, 0, 51, 2, 24, 0, 0, 92, 23, 0, 58, -56, -16, 0, 15, 0, -12, 0, -21, 48, 18, 0, 52, 0, 36, 0, 10, -36, 1, 0, -3, 0, -69, 0, 93, -84, 15, 0, -12, -12, 0, 0, 16, -4, -87, 0, 6, 0, -13, 0, -18, -26, 62, 0, 42, 64, -34, 0, 30, 0, 49, 0, 42, 0, -9, 0, 22, -14, -10, 0, -42, 96, -42, 0, -4, 4, 0, 0, 4, 0, 72, 0, 40, -22, -14, 0, 0, 0, -38, 0, -15, 36, -70, 0, -49, 0, -9, 0, -48, 20, -48, 0, 16, 8, -50, 0, 42, -36, -2, 0, -54, 0, -53, 0, 0, -24, 120, 0, 22, -16, -14, 0, -59, -12, 36, 0, -13, 0, -12, 0, 4, -12, 0, 0, -15, 0, 16, 0, 2, 20, 60, 0, 24, 0, -26, 0, 34, 10, -27, 0, 36, 0, 8, 0, 80, 0, 2, 0, 39, 0, 8, 0, 38, 12, -17, 0, -2, 76, 0, 0, 78, 2, 9, 0, 10, 0, -46, 0, 0, 48, -4, 0, -83, -8, 16, 0, 22, -56, 8, 0, 58, 0, 0, 0, 0, -26, 22, 0, 26, 84, -46, 0, 84, 20, -22, 0, -46, 0, 32, 0, 6, -32, -23, 0, 63, 0, 56, 0, 0, -2, 104, 0, -22, 0, 0, 0, 20, -32, 6, 0, -72, 52, -30, 0, 54, 0, 70, 0, -28, 0, 14, 0, -29, -6, -48, 0, -1, 0, -9, 0, -66, -4, 42, 0, -108, 0, -4, 0, 12, -6, 14, 0, -15, -16, -12, 0, 56, -36, 6, 0, 0, 0, 87, 0, 4, -52, -40, 0, -4, 0, -78, 0, -13, -10, -8, 0, 24, 0, 7, 0, -140, -32, 39, 0, -22, 8, -54, 0, -27, 0, -4, 0, 55, 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, 0, -1, -2, 1, 0, 2, 0, 1, 0, -1, 2, 6, 0, -1, 4, -2, 0, -3, -2, -2, 0, 0, 0, 1, 0, -1, -4, -10, 0, 3, 0, 1, 0, 2, -2, -4, 0, -6, 0, 9, 0, -8, 2, 1, 0, -6, -4, -3, 0, 2, -12, 0, 0, -1, 0, 3, 0, 0, 2, -13, 0, 2, -8, 6, 0, -2, 4, 0, 0, 7, 0, -6, 0, -1, 6, -2, 0, -5, 4, 1, 0, 16, 4, -2, 0, 10, 0, 14, 0, 12, 0, -3, 0, -3, 0, -12, 0, -1, -2, 3, 0, 14, 0, -2, 0, 0, 2, 1, 0, 4, 8, -12, 0, 0, 20, 6, 0, -4, 0, -10, 0, -9, -6, 1, 0, -12, 0, 8, 0, -21, -2, -6, 0, -1, 0, 2, 0, 11, -4, 6, 0, -6, 4, -10, 0, 3, 8, 5, 0, -3, 0, -2, 0, 3, 12, -8, 0, 0, 0, 0, 0, 2, -18, 1, 0, -12, 0, 23, 0, -3, 16, 24, 0, 2, -4, 0, 0, 19, -2, 21, 0, 13, 0, -4, 0, 2, 12, -2, 0, 0, 8, -26, 0, -6, 6, -12, 0, -7, 0, 2, 0, -20, -4, 9, 0, 0, 24, 3, 0, 1, 0, -7, 0, -8, 0, 6, 0, 6, 2, -12, 0, 14, 0, 1, 0, -18, -6, -13, 0, 2, 0, 10, 0, -6, 0, 5, 0, 1, -4, -13, 0, -1, 26, -3, 0, -18, 0, -16, 0, 9, -4, 0, 0, 2, 16, -4, 0, -8, -12, -10, 0, -22, 0, 0, 0, -14, 4, 15, 0, 8, -8, -12, 0, -1, 0, -4, 0, 3, 0, -29, 0, -20, -14, 3, 0, 18, 0, -13, 0, 12, 12, -8, 0, 0, 0, 1, 0, 0, 2, -16, 0, -3, -12, -13, 0, 22, 4, -14, 0, 16, 0, -14, 0, 2, 10, 2, 0, 10, -8, 0, 0, 6, -2, 6, 0, -1, 0, -12, 0, -13, -32, -4, 0, -2, -8, -32, 0, 12, 4, -3, 0, -20, 0, 0, 0, 28, -20, -18, 0, -6, 0, 14, 0, 7, -28, 4, 0, -24, 0, -10, 0, 10, -24, -6, 0, -10, 0, 9, 0, 0, 6, -20, 0, -1, 0, -60, 0, 20, 6, 12, 0, 30, 0, -2, 0, -8, 24, 5, 0, 0, 0, 21, 0, -5, 2, 20, 0, 6, 4, -27, 0, 18, -6, 1, 0, 4, 0, -1, 0, -2, -28, 0, 0, 16, 0, -11, 0, 35, 4, -33, 0, -6, 0, -2, 0, -26, 0, 6, 0, 27, -4, 12, 0, 10, -2, 0, 0, -40, 0, -3, 0, -14, -8, 14, 0, -5, -16, -34, 0, -9, 24, 3, 0, 12, 0, 24, 0, 2, 0, -1, 0, -6, -40, -3, 0, -18, -12, -4, 0, 8, 0, 8, 0, -3, 8, 0, 0, -11, 0, -24, 0, 0, 20, -12, 0, 6, 0, -2, 0, -36, 18, 20, 0, -1, 12, 14, 0, -1, -2, 12, 0, 38, 0, 3, 0, -23, 24, -26, 0, -12, 0, 3, 0, 14, -16, 6, 0, -24, 0, -35, 0, -34, 42, -2, 0, -6, 4, 0, 0, 0, 12, 54, 0, 0, 0, -19, 0, 3, 2, 23, 0, -21, 0, 1, 0, -12, -4, -13, 0, 30, 0, -10, 0, 4, -22, -38, 0, -48, 8, -2, 0, 22, -12, -12, 0, 2, 0, -27, 0, 39, 12, 0, 0, 0, -8, 8, 0, 26, 20, 32, 0, 0, 0, 6, 0, -28, -6, -9, 0, 12, -16, 6, 0, -4, -10, 7, 0, -27, 0, 41, 0, -2, 6, -10, 0, -14, 0, 20, 0, -36, 4, -20, 0, -9, 0, -4, 0, -3, -6, 0, 0, 28, -24, 1, 0, -3, 16, 8, 0, -17, 0, -1, 0, -12, 0, -18, 0, 7, 0, -13, 0, 28, 0, 8, 0, -12, 0, 0, 0, -6, -4, 28, 0, -21, 36, -6, 0, -15, -2, 3, 0, 12, 0, -6, 0, 0, 24, -14, 0, 13, 0, -30, 0, -1, -46, 28, 0, -24, 0, 18, 0, 42, 6, 2, 0, 13, -32, 0, 0, 7, -48, -2, 0, 11, 0, -18, 0, -10, -4, 18, 0, 12, 8, 6, 0, 6, 0, -10, 0, -5, 0, 0, 0, -6, -38, -1, 0, -24, 4, 28, 0, 13, -42, -10, 0, 16, 0, 1, 0, 16, -26, 0, 0, 3, 0, 2, 0, 3, 8, 18, 0, 26, 0, 5, 0, 16, -4, 0, 0, -16, -24, -9, 0, -3, 4, 14, 0, 0, 0, -13, 0, 2, 0, -2, 0, 0, -16, 15, 0, 4, 52, -42, 0, 3, 0, 8, 0, -27, 12, -7, 0, 10, -12, -8, 0, -26, 24, 22, 0, -24, 0, -78, 0, 0, 14, 34, 0, 12, 0, 14, 0, 6, -4, 0, 0, -15, 0, -15, 0, -5, 40, -8, 0, 2, 8, 24, 0, 12, -18, -19, 0, -46, 0, 1, 0, 22, 0, -29, 0, 4, -48, 6, 0, -12, -6, -3, 0, 35, 0, 71, 0, 29, -2, 23, 0, -20, 0, 20, 0, 0, 14, 20, 0, -3, 0, -18, 0, 36, 16, -18, 0, 36, 0, 24, 0, 13, -12, 5, 0, -12, 0, -12, 0, 2, -12, -14, 0, 8, -4, 38, 0, 36, 24, 0, 0, -30, 0, -24, 0, -1, -28, 18, 0, 19, 0, 0, 0, -30, -2, 0, 0, 16, 0, 21, 0, -36, 36, 3, 0, -15, 12, -16, 0, 13, 26, -42, 0, -49, 0, -22, 0, 42, -4, -4, 0, 14, 0, 15, 0, 9, -20, -16, 0, 2, 0, 0, 0, 14, 12, 13, 0, 0, 0, -2, 0, 26, -10, -36, 0, -2, 0, -38, 0, 0, -2, -10, 0, 4, 8, -22, 0, 0, 26, -26, 0, 22, 0, -6, 0, -56, 2, 22, 0, -6, -52, -54, 0, -14, 6, 1, 0, -42, 0, -12, 0, 12, 36, 0, 0, 40, 0, 13, 0, -7, 32, 22, 0, 4, 0, -12, 0, 0, -18, 2, 0, 0, 8, -46, 0, 32, 0, -30, 0, -20, 0, -12, 0, -52, -4, 59, 0, 3, -32, 9, 0, -30, 8, 20, 0, 15, 0, -34, 0, 0, 16, 26, 0, -37, 24, -28, 0, 10, 20, 3, 0, 18, 0, 63, 0, -52, 44, 6, 0, 1, 0, -6, 0, -14, 0, 23, 0, -36, 0, -7, 0, 12, 28, -3, 0, -4, -8, 40, 0, -8, -30, 24, 0, 96, 0, 0, 0, 10, -16, 6, 0, 40, 16, -10, 0, 60, 24, 2, 0, 6, 0, 42, 0, -16, 2, 10, 0, 40, 0, -12, 0, -9, 8, 3, 0, -3, 0, 0, 0, 14, -6, 32, 0, 20, 0, 0, 0, 8, 58, 1, 0, 0, 0, 23, 0, 60, 40, -14, 0, -18, 28, -20, 0, 4, -6, 4, 0, -12, 0, -13, 0, -12, -36, -30, 0, -3, 0, 56, 0, 2, 26, 84, 0, 39, 0, 8, 0, 56, -24, 10, 0, -5, -24, -24, 0, -36, 16, 0, 0, -6, 0, 0, 0, -21, 0, -19, 0, 46, 0, 5, 0, 26, -2, -90, 0, -20, 0, -56, 0, 1, 0, -6, 0, -1, -4, 30, 0, 27, 32, -13, 0, -14, 0, -18, 0, 48, 6, 8, 0, -1, 24, 12, 0, 0, 26, -4, 0, 24, 0, -3, 0, 1, -44, -25, 0, -61, -8, 2, 0, -18, 28, 10, 0, 0, 0, 12, 0, 12, -32, -16, 0, 80, 0, -53, 0, 11, 28, 38, 0, 9, 0, -35, 0, -37, -4, -72, 0, 33, -20, 0, 0, 42, -4, 6, 0, 27, 0, 6, 0, 2, -20, 6, 0, 49, 16, 26, 0, -6, 0, -4, 0, -6, 0, -10, 0, 59, -12, -27, 0, -8, 4, 30, 0, -12, -12, -2, 0, -46, 0, -10, 0, 70, 2, 4, 0, 0, 0, 18, 0, -22, 24, 40, 0, -9, 0, 63, 0, 3, 26, 0, 0, -48, 64, 14, 0, 21, 8, -24, 0, -14, 0, 0, 0, 84, 4, 5, 0, 10, 16, 15, 0, 34, 64, -21, 0, -52, 0, 9, 0, 8, -24, 0, 0, -3, -8, -10, 0, 60, 6, -12, 0, 30, 0, -21, 0, -24, 40, 28, 0, -1, 0, -2, 0, -24, 0, -50, 0, 1, 0, -4, 0, 18, -56, 6, 0, 0, 40, -14, 0, 3, 36, 12, 0, 45, 0, 18, 0, 0, 12, -29, 0, 4, 0, 69, 0, -32, -28, -8, 0, -20, 0, 6, 0, -8, -14, 30, 0, -44, 56, 3, 0, 44, -8, -13, 0, 0, 0, 0, 0, 18, 48, 11, 0, -48, 0, 21, 0, 24, 20, -13, 0, -56, 0, 0, 0, 28, -20, 4, 0, 12, 48, -18, 0, 12, 12, -6, 0, 6, 0, -8, 0, 2, 20, -72, 0, -32, 0, 36, 0, 0, -18, 2, 0, -20, 0, -7, 0, 32, 0, 1, 0, 18, -12, -22, 0, -14, 40, -48, 0, 0, 0, 1, 0, 5, 2, 15, 0, -12, 0, -16, 0, -2, 120, -38, 0, -36, 0, -28, 0, -3, -40, -36, 0, -9, -12, 23, 0, -12, -24, -13, 0, 26, 0, -11, 0, -15, -60, 12, 0, 22, 0, 0, 0, -3, 4, 0, 0, 60, 0, -14, 0, -24, 16, 13, 0, -6, -48, 26, 0, 16, -10, 24, 0, -53, 0, 28, 0, 35, 0, -14, 0, 40, 0, 34, 0, 63, -42, -60, 0, 2, 0, -48, 0, -49, 10, 6, 0, 26, -4, 2, 0, 0, -40, -36, 0, 32, 0, 0, 0, 10, -12, 60, 0, -54, -8, -63, 0, -26, 54, 0, 0, 30, 0, -54, 0, 19, -36, 42, 0, 6, 12, -3, 0, 60, -2, -10, 0, -23, 0, 6, 0, 30, -8, 21, 0, 20, 0, 0, 0, -1, 2, 16, 0, -5, 0, 12, 0, 0, 4, -12, 0, 13, 56, 24, 0, -72, 0, -30, 0, -13, 0, -78, 0, 10, -32, 3, 0, 22, 0, -4, 0, -38, 22, -71, 0, 38, 0, 2, 0, -2, -70, 48, 0, 0, -8, 40, 0, 2, 66, -32, 0, -26, 0, -22, 0, -42, 12, -44, 0, 12, 0, 20, 0, 13, 4, -2, 0, -126, 0, -3, 0, 27, 52, -33, 0, 0, 0, -39, 0, -20, -12, -6, 0, 0, 0, 17, 0, -20, -54, 0, 0, 8, 8, -36, 0, -8, -24, -66, 0, 28, 0, -26, 0, 24, -20, 50, 0, -32, 4, -18, 0, -20, 0, 0, 0, -28, 0, -20, 0, -6, 80, 18, 0, -31, 0, 28, 0, -72, 6, 14, 0, 9, 0, 130, 0, 0, 28, -12, 0, 7, 16, 18, 0, -6, -28, 12, 0, 70, 0, 4, 0, -12, 10, -11, 0, -7, 32, -2, 0, -24, 68, 27, 0, -8, 0, 51, 0, -41, 18, -10, 0, 66, -48, 2, 0, -43, -6, 12, 0, 10, 0, 0, 0, 0, -24, 14, 0, 64, 0, -6, 0, -20, -48, 0, 0, -5, 0, 36, 0, -10, -4, 12, 0, 20, 0, -44, 0, 36, 2, 9, 0, -76, 0, 21, 0, 4, 12, -2, 0, 0, 80, 3, 0, -23, 6, 10, 0, 0, 0, -20, 0, -28, 36, -28, 0, 0, 24, -14, 0, -1, 8, -78, 0, 11, 0, 3, 0, 30, -16, -60, 0, -8, 0, 23, 0, -39, -16, 17, 0, 20, 0, 16, 0, 1, 6, -6, 0, -24, -16, 12, 0, -68, 0, 0, 0, 18, 0, -4, 0, 30, 22, -7, 0, -9, 0, 24, 0, 13, 48, -2, 0, -54, 0, -28, 0, -28, 0, 26, 0, -8, -40, 30, 0, -8, 24, 12, 0, 20, 0, 5, 0, 0, -12, 46, 0, 5, 0, 6, 0, 0, 4, -42, 0, -28, 0, 0, 0, -18, 72, 21, 0, -58, -36, -19, 0, 6, -40, -84, 0, -5, 0, 15, 0, 48, 2, -40, 0, -3, -24, 20, 0, 62, -28, -12, 0, -21, 0, 62, 0, 6, 2, 58, 0, -40, 4, 0, 0, -56, -24, -27, 0, 14, 0, -27, 0, -25, -76, -13, 0, 18, 0, 72, 0, 30, -6, 48, 0, -26, 0, 1, 0, 42, 46, -21, 0, -28, -48, 0, 0, 4, 52, 24, 0, 31, 0, -48, 0, -18, 24, -1, 0, 0, 0, -42, 0, -16, -6, 38, 0, -2, 0, 20, 0, -70, -28, -13, 0, 38, 32, 0, 0, 0, -12, 6, 0, -3, 0, -7, 0, 16, 48, -6, 0, 2, 0, -34, 0, 28, 70, -11, 0, 54, 0, -26, 0, 18, 68, 0, 0, 35, -84, 10, 0, 87, 4, 0, 0, -18, 0, -33, 0, 24, 12, -12, 0, -72, -8, 14, 0, -6, 0, 60, 0, 12, 0, -6, 0, 26, 0, -2, 0, 10, -24, 59, 0, 11, -108, 5, 0, -26, 0, 60, 0, 0, 0, 9, 0, 34, 0, 6, 0, 36, 38, 44, 0, 1, 0, -36, 0, 27, -6, 24, 0, 24, -4, -10, 0, -28, -46, 12, 0, 12, 0, -13, 0, -72, 42, 0, 0, 10, 0, 32, 0, 69, -2, -16, 0, 0, 0, 0, 0, -1, 24, 7, 0, -28, 8, -16, 0, -40, 26, 60, 0, 0, 0, 21, 0, -42, -60, -3, 0, 0, 0, -11, 0, -2, 20, 18, 0, -14, 0, -3, 0, 4, -8, -51, 0, -18, 44, 14, 0, 42, 76, -26, 0, 0, 0, 20, 0, -5, 96, -6, 0, 31, -16, -16, 0, -12, 4, -34, 0, 0, 0, 144, 0, -49, -44, 16, 0, -9, 24, 52, 0, 9, 24, 12, 0, -18, 0, 3, 0, 8, -4, -18, 0, -14, 0, 70, 0, 12, 54, 0, 0, 0, 0, 90, 0, 13, -78, 24, 0, -58, -24, -2, 0, 50, 0, -62, 0, 2, 0, -80, 0, 30, 0, 0, 0, 18, 16, -1, 0, -15, -16, 15, 0, 23, 0, -4, 0, -6, -52, -26, 0, 42, -40, -1, 0, 0, -64, -3, 0, 114, 0, -4, 0, -8, 0, -4, 0, -18, 0, 27, 0, -36, -12, -90, 0, 7, 0, -4, 0, -44, 56, -10, 0, 0, 12, 126, 0, 8, 18, 34, 0, -64, 0, 26, 0, -22, -24, 8, 0, -22, 32, 0, 0, -55, -12, 24, 0, -3, 0, 58, 0, 78, 8, -27, 0, -56, 20, 0, 0, -6, -14, -74, 0, -34, 0, -28, 0, -11, 54, -12, 0, -21, 0, -19, 0, -14, -82, -24, 0, -160, 0, -6, 0, -3, 4, 36, 0, 0, -12, -22, 0, 0, 20, 15, 0, -26, 0, -12, 0, 15, 28, 56, 0, 12, 0, 5, 0, 6, -40, -10, 0, 8, 0, 51, 0, -36, 72, -2, 0, -24, -8, -15, 0, -24, 40, -14, 0, -36, 0, -12, 0, 76, 18, 0, 0, 19, 0, 20, 0, 44, 8, 46, 0, 28, 0, -44, 0, -1, 6, -20, 0, 8, 12, -22, 0, 0, 0, 14, 0, 29, 0, 63, 0, 0, -56, -4, 0, -1, 48, 18, 0, -6, -2, -117, 0, 4, 0, 12, 0, 0, 6, -156, 0, 3, -32, -48, 0, 38, -16, -35, 0, 13, 0, 43, 0, -71, 34, 3, 0, -20, 0, -29, 0, -31, 2, -10, 0, -23, 0, 0, 0, 44, 24, 20, 0, 12, 0, -26, 0, -20, 36, -39, 0, -95, 0, 0, 0, -12, -14, 38, 0, -20, 0, -72, 0, -10, 26, 3, 0, 6, 0, -20, 0, 18, -56, 48, 0, 14, 0, -36, 0, -76, -16, -140, 0, 18, 0, 6, 0, -42, 24, -36, 0, 55, 0, 74, 0, -24, 0, 0, 0, 0, 0, -13, 0, -6, 12, -35, 0, -5, 8, -86, 0, -40, -56, 12, 0, -34, 0, 38, 0, 12, 42, 2, 0, 104, -72, -2, 0, -28, 12, -1, 0, 14, 0, -30, 0, -6, 30, -8, 0, -120, 4, -33, 0, -38, -6, 0, 0, 54, 0, -36, 0, 13, -24, 40, 0, 0, 0, 22, 0, -36, 12, 30, 0, 102, 0, 54, 0, 24, 0, 16, 0, -69, -48, 1, 0, 0, 28, 14, 0, -18, 0, 60, 0, -10, -26, -19, 0, 76, 0, 82, 0, 0, 60, 16, 0, 3, 0, 30, 0, 51, 2, 24, 0, 0, 92, 23, 0, 58, -56, -16, 0, 15, 0, -12, 0, -21, 48, 18, 0, 52, 0, 36, 0, 10, -36, 1, 0, -3, 0, -69, 0, 93, -84, 15, 0, -12, -12, 0, 0, 16, -4, -87, 0, 6, 0, -13, 0, -18, -26, 62, 0, 42, 64, -34, 0, 30, 0, 49, 0, 42, 0, -9, 0, 22, -14, -10, 0, -42, 96, -42, 0, -4, 4, 0, 0, 4, 0, 72, 0, 40, -22, -14, 0, 0, 0, -38, 0, -15, 36, -70, 0, -49, 0, -9, 0, -48, 20, -48, 0, 16, 8, -50, 0, 42, -36, -2, 0, -54, 0, -53, 0, 0, -24, 120, 0, 22, -16, -14, 0, -59, -12, 36, 0, -13, 0, -12, 0, 4, -12, 0, 0, -15, 0, 16, 0, 2, 20, 60, 0, 24, 0, -26, 0, 34, 10, -27, 0, 36, 0, 8, 0, 80, 0, 2, 0, 39, 0, 8, 0, 38, 12, -17, 0, -2, 76, 0, 0, 78, 2, 9, 0, 10, 0, -46, 0, 0, 48, -4, 0, -83, -8, 16, 0, 22, -56, 8, 0, 58, 0, 0, 0, 0, -26, 22, 0, 26, 84, -46, 0, 84, 20, -22, 0, -46, 0, 32, 0, 6, -32, -23, 0, 63, 0, 56, 0, 0, -2, 104, 0, -22, 0, 0, 0, 20, -32, 6, 0, -72, 52, -30, 0, 54, 0, 70, 0, -28, 0, 14, 0, -29, -6, -48, 0, -1, 0, -9, 0, -66, -4, 42, 0, -108, 0, -4, 0, 12, -6, 14, 0, -15, -16, -12, 0, 56, -36, 6, 0, 0, 0, 87, 0, 4, -52, -40, 0, -4, 0, -78, 0, -13, -10, -8, 0, 24, 0, 7, 0, -140, -32, 39, 0, -22, 8, -54, 0, -27, 0, -4, 0, 55, 0]}