# Stored data for newform 4624.2.a.d, downloaded from the LMFDB on 10 June 2024.
{"Nk2": 18496, "analytic_conductor": 36.92282589464005, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [17, 1]], "atkin_lehner_string": "-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [4624, 1, [4047, 1157, 4049], [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": [[3, [0, 1]], [5, [-2, 1]], [7, [-4, 1]], [13, [2, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510798915670544, "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": "4624.2.a.d", "level": 4624, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 17], "level_radical": 34, "minimal_twist": "17.2.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+2q^{5}+4q^{7}-3q^{9}-2q^{13}+4q^{19}+\\cdots", "related_objects": ["EllipticCurve/Q/4624/d"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4624.2.a", "trace_display": [0, 0, 2, 4], "trace_hash": 1867957194969567969, "trace_moments": [{"__RealLiteral__": 0, "data": "0.015", "prec": 17}, {"__RealLiteral__": 0, "data": "0.988", "prec": 17}, {"__RealLiteral__": 0, "data": "0.071", "prec": 17}, {"__RealLiteral__": 0, "data": "1.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.184", "prec": 17}, {"__RealLiteral__": 0, "data": "4.891", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.021", "prec": 17}, "traces": [0, 1, 0, 0, 0, 2, 0, 4, 0, -3, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, -1, 0, 0, 0, -6, 0, 4, 0, 0, 0, 8, 0, 2, 0, 0, 0, 6, 0, -4, 0, -6, 0, 0, 0, 9, 0, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 10, 0, -12, 0, -4, 0, -4, 0, 0, 0, -4, 0, 6, 0, 0, 0, 0, 0, 12, 0, 9, 0, 4, 0, 0, 0, 0, 0, 10, 0, -8, 0, 0, 0, 8, 0, -2, 0, 0, 0, -10, 0, -8, 0, 0, 0, 8, 0, -6, 0, 0, 0, 14, 0, 8, 0, 6, 0, 0, 0, -11, 0, 0, 0, -12, 0, -8, 0, 0, 0, 16, 0, 16, 0, 0, 0, -6, 0, -8, 0, 0, 0, 0, 0, -12, 0, 0, 0, -10, 0, 16, 0, 0, 0, 8, 0, -2, 0, 0, 0, 16, 0, 24, 0, 0, 0, -4, 0, -9, 0, -12, 0, -22, 0, -4, 0, 0, 0, -12, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 16, 0, -2, 0, 0, 0, 18, 0, -20, 0, 0, 0, -24, 0, 12, 0, -12, 0, 0, 0, 8, 0, 0, 0, -8, 0, 16, 0, 0, 0, 0, 0, -24, 0, 3, 0, -24, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 16, 0, -18, 0, 0, 0, 18, 0, -8, 0, 0, 0, -12, 0, 0, 0, 0, 0, 18, 0, 8, 0, 18, 0, 16, 0, 12, 0, 0, 0, -22, 0, 16, 0, 0, 0, 0, 0, -14, 0, -12, 0, -6, 0, -16, 0, 0, 0, 24, 0, 0, 0, 0, 0, 6, 0, 24, 0, 0, 0, -8, 0, -16, 0, 0, 0, 20, 0, 12, 0, 0, 0, 28, 0, 22, 0, -24, 0, 10, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, -6, 0, -8, 0, 14, 0, 0, 0, 0, 0, 8, 0, 0, 0, 32, 0, -18, 0, 0, 0, -30, 0, -8, 0, 0, 0, 0, 0, -3, 0, 0, 0, 12, 0, 28, 0, -18, 0, 24, 0, 6, 0, 0, 0, 12, 0, -8, 0, 0, 0, 24, 0, 0, 0, 12, 0, 6, 0, 0, 0, 0, 0, 24, 0, -6, 0, 0, 0, 14, 0, -8, 0, 18, 0, 0, 0, 26, 0, 0, 0, 48, 0, 8, 0, 0, 0, 8, 0, 22, 0, 0, 0, 0, 0, 40, 0, 0, 0, 12, 0, 2, 0, 0, 0, 16, 0, -20, 0, -27, 0, -28, 0, 20, 0, 0, 0, -34, 0, 0, 0, 0, 0, -16, 0, -6, 0, 0, 0, -2, 0, -32, 0, 0, 0, -12, 0, -16, 0, 0, 0, 0, 0, -4, 0, -18, 0, 36, 0, -4, 0, 0, 0, -4, 0, 20, 0, 0, 0, -20, 0, 0, 0, 0, 0, -16, 0, -40, 0, 0, 0, -12, 0, -20, 0, 0, 0, -2, 0, 24, 0, 0, 0, -16, 0, 0, 0, 0, 0, -26, 0, 36, 0, 0, 0, 0, 0, -7, 0, -36, 0, -12, 0, 16, 0, 0, 0, 0, 0, -6, 0, 0, 0, -12, 0, -32, 0, -30, 0, -24, 0, 48, 0, 0, 0, 30, 0, 8, 0, 0, 0, 4, 0, 28, 0, 36, 0, -38, 0, -32, 0, 0, 0, -4, 0, -14, 0, 0, 0, 16, 0, 0, 0, 12, 0, -4, 0, 16, 0, 0, 0, 18, 0, 0, 0, 0, 0, 24, 0, -10, 0, 12, 0, -22, 0, 20, 0, 0, 0, 0, 0, -26, 0, 0, 0, 6, 0, -48, 0, 0, 0, 40, 0, -19, 0, 0, 0, 0, 0, -16, 0, 0, 0, -16, 0, -18, 0, 12, 0, 30, 0, 32, 0, 0, 0, -8, 0, 0, 0, 0, 0, -6, 0, 32, 0, -18, 0, -4, 0, 38, 0, 0, 0, 32, 0, -24, 0, 0, 0, 0, 0, -2, 0, 0, 0, -30, 0, -8, 0, 0, 0, -40, 0, -12, 0, 0, 0, -12, 0, -8, 0, 0, 0, -16, 0, 0, 0, 0, 0, -18, 0, 8, 0, 0, 0, -40, 0, 34, 0, -36, 0, 16, 0, 0, 0, 0, 0, 4, 0, -32, 0, 0, 0, 6, 0, -40, 0, -27, 0, 0, 0, -50, 0, 0, 0, 0, 0, -28, 0, 0, 0, 12, 0, -20, 0, -12, 0, 32, 0, 20, 0, 0, 0, 32, 0, 22, 0, 0, 0, -22, 0, -24, 0, 0, 0, -24, 0, -14, 0, 0, 0, -26, 0, -4, 0, 0, 0, 24, 0, 0, 0, 0, 0, -4, 0, -32, 0, 0, 0, 56, 0, -20, 0, 0, 0, -50, 0, 0, 0, -30, 0, 0, 0, 32, 0, 0, 0, -26, 0, 40, 0, 0, 0, 48, 0, -16, 0, 24, 0, 18, 0, 20, 0, 0, 0, -48, 0, -34, 0, 0, 0, 0, 0, -8, 0, 0, 0, 20, 0, 7, 0, 0, 0, -18, 0, -44, 0, 0, 0, 8, 0, -14, 0, -24, 0, -10, 0, -52, 0, 0, 0, -16, 0, -44, 0, 0, 0, 0, 0, 8, 0, 6, 0, -48, 0, -6, 0, 0, 0, 46, 0, 12, 0, 0, 0, 12, 0, -32, 0, 0, 0, 0, 0, -24, 0, 0, 0, -24, 0, 0, 0, 0, 0, 4, 0, 32, 0, 30, 0, -4, 0, 0, 0, 0, 0, 64, 0, -24, 0, 0, 0, 8, 0, -2, 0, 24, 0, 30, 0, 36, 0, 0, 0, 0, 0, 10, 0, 0, 0, -6, 0, 24, 0, 0, 0, 32, 0, -12, 0, 0, 0, -22, 0, 32, 0, 0, 0, -24, 0, -15, 0, -24, 0, -4, 0, 0, 0, 0, 0, 12, 0, -32, 0, 0, 0, 18, 0, 0, 0, 18, 0, 12, 0, 36, 0, 0, 0, -16, 0, -12, 0, 0, 0, -40, 0, -46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 14, 0, 0, 0, -30, 0, -48, 0, -42, 0, 36, 0, 14, 0, 0, 0, -6, 0, -24, 0, 0, 0, -12, 0, 58, 0, -24, 0, 0, 0, -40, 0, 0, 0, -40, 0, 0, 0, 0, 0, 22, 0, 8, 0, -18, 0, 16, 0, 64, 0, 0, 0, 18, 0, 48, 0, 0, 0, 0, 0, -50, 0, 0, 0, -12, 0, 4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 33, 0, 0, 0, -62, 0, 0, 0, 42, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -48, 0, 26, 0, 0, 0, 48, 0, -36, 0, 36, 0, 36, 0, 38, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 96, 0, 24, 0, 12, 0, 8, 0, 0, 0, -12, 0, -2, 0, 0, 0, -20, 0, 40, 0, 0, 0, -16, 0, 12, 0, 0, 0, -16, 0, -28, 0, 0, 0, 0, 0, 0, 0, -48, 0, -34, 0, -36, 0, 0, 0, 0, 0, -36, 0, 0, 0, -26, 0, 32, 0, -48, 0, 0, 0, 14, 0, 0, 0, -36, 0, 0, 0, 0, 0, -88, 0, 10, 0, 0, 0, -66, 0, 24, 0, 0, 0, 56, 0, -9, 0, 0, 0, 10, 0, -36, 0, 18, 0, -16, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, -14, 0, 24, 0, -48, 0, -24, 0, 0, 0, 20, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 24, 0, -16, 0, 0, 0, -34, 0, -16, 0, 0, 0, -60, 0, 36, 0, 0, 0, 6, 0, -44, 0, 0, 0, 16, 0, 46, 0, 0, 0, 54, 0, 36, 0, 36, 0, 60, 0, 0, 0, 0, 0, 20, 0, 32, 0, 0, 0, 4, 0, 38, 0, 0, 0, -6, 0, -16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 64, 0, 16, 0, 30, 0, 0, 0, -44, 0, 0, 0, -16, 0, -8, 0, 0, 0, 32, 0, 48, 0, -48, 0, 18, 0, 0, 0, 0, 0, -12, 0, -33, 0, 0, 0, -50, 0, 0, 0, 0, 0, 72, 0, -58, 0, 0, 0, -28, 0, 24, 0, 0, 0, -16, 0, -80, 0, -24, 0, 0, 0, -36, 0, 0, 0, 40, 0, -12, 0, 0, 0, 66, 0, 0, 0, 6, 0, -32, 0, 12, 0, 0, 0, -54, 0, -28, 0, 0, 0, -20, 0, -26, 0, 0, 0, -42, 0, 48, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -32, 0, -48, 0, 0, 0, 62, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 12, 0, -72, 0, -28, 0, -8, 0, 0, 0, -12, 0, 32, 0, 0, 0, -6, 0, 68, 0, 0, 0, -56, 0, -50, 0, 0, 0, -14, 0, -16, 0, 0, 0, -24, 0, 48, 0, 12, 0, -32, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 12, 0, 36, 0, 27, 0, -56, 0, -10, 0, 0, 0, 0, 0, 4, 0, 0, 0, 24, 0, -36, 0, 36, 0, -16, 0, -24, 0, 0, 0, 0, 0, -18, 0, 0, 0, -18, 0, 56, 0, 66, 0, 28, 0, -96, 0, 0, 0, 44, 0, -28, 0, 0, 0, -8, 0, 22, 0, 12, 0, 16, 0, -52, 0, 0, 0, 24, 0, 20, 0, 0, 0, -96, 0, -8, 0, 0, 0, 0, 0, -2, 0, 0, 0, -34, 0, 24, 0, 0, 0, -16, 0, -26, 0, 36, 0, -18, 0, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, 24, 0, -8, 0, -6, 0, 24, 0, -16, 0, 0, 0, 2, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -8, 0, -22, 0, 0, 0, 0, 0, 36, 0, -12, 0, 60, 0, 2, 0, 0, 0, 64, 0, 4, 0, 0, 0, 24, 0, -5, 0, 0, 0, 28, 0, -72, 0, 0, 0, 40, 0, 10, 0, 0, 0, 62, 0, -36, 0, 0, 0, -32, 0, 0, 0, 0, 0, -2, 0, -72, 0, 0, 0, 16, 0, 0, 0, -48, 0, 58, 0, -80, 0, 0, 0, 0, 0, -32, 0, 0, 0, 6, 0, 64, 0, 6, 0, 0, 0, -6, 0, 0, 0, -36, 0, -4, 0, 0, 0, 0, 0, 58, 0, 0, 0, -48, 0, 56, 0, 0, 0, -24, 0, -60, 0, 0, 0, -60, 0, 0, 0, -54, 0, 4, 0, -14, 0, 0, 0, 12, 0, 16, 0, 0, 0, -36, 0, 46, 0, 60, 0, 0, 0, 0, 0, 0, 0, 72, 0, 58, 0, 0, 0, -6, 0, 16, 0, 0, 0, -76, 0, 18, 0, 0, 0, 48, 0, 0, 0, 0, 0, 48, 0, -6, 0, 72, 0, 48, 0, 12, 0, 0, 0, 56, 0, 0, 0, 0, 0, 64, 0, -8, 0, -36, 0, 4, 0, -27, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -10, 0, 36, 0, 12, 0, 24, 0, 0, 0, -48, 0, -18, 0, 0, 0, 66, 0, -32, 0, 0, 0, -88, 0, 24, 0, 0, 0, -14, 0, 40, 0, 0, 0, -16, 0, 64, 0, -24, 0, 42, 0, 0, 0, 0, 0, -48, 0, 16, 0, 0, 0, -22, 0, 48, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, -54, 0, 24, 0, 20, 0, -56, 0, 0, 0, 24, 0, 12, 0, 0, 0, -54, 0, 48, 0, -48, 0, 0, 0, -32, 0, 0, 0, 12, 0, -32, 0, 0, 0, -24, 0, 0, 0, 0, 0, 6, 0, -12, 0, 0, 0, 64, 0, -64, 0, 0, 0, -12, 0, -44, 0, 0, 0, 0, 0, -6, 0, 0, 0, 78, 0, -4, 0, 0, 0, -48, 0, 28, 0, 72, 0, 54, 0, -40, 0, 0, 0, -16, 0, -2, 0, 0, 0, 0, 0, 0, 0, -9, 0, 68, 0, 26, 0, 0, 0, 32, 0, 0, 0, 0, 0, 72, 0, 4, 0, 72, 0, 52, 0, 40, 0, 0, 0, 24, 0, 38, 0, 0, 0, 0, 0, 24, 0, -18, 0, -20, 0, 96, 0, 0, 0, 82, 0, -24, 0, 0, 0, -4, 0, -16, 0, 0, 0, -66, 0, 4, 0, 0, 0, 40, 0, 10, 0, 0, 0, -32, 0, 16, 0, -18, 0, 20, 0, 0, 0, 0, 0, 44, 0, -36, 0, 0, 0, 4, 0, -34, 0, 0, 0, -36, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 56, 0, 0, 0, 80, 0, -42, 0, 0, 0, -34, 0, -64, 0, 0, 0, 56, 0, 48, 0, -48, 0, 6, 0, 24, 0, 0, 0, 0, 0, -78, 0, 0, 0, 4, 0, 0, 0, 54, 0, 8, 0, 36, 0, 0, 0, 112, 0, 0, 0, 0, 0, 24, 0, 32, 0, 0, 0, 0, 0, 88, 0, 0, 0, -40, 0, 44, 0, 0, 0, -16, 0, 64, 0, -54, 0, -60, 0, -47, 0, 0, 0, -30, 0, -56, 0, 0, 0, 40, 0, 58, 0, 24, 0, -10, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -54, 0, -12, 0, 0, 0, -36, 0, -68, 0, 0, 0, 44, 0, -16, 0, 0, 0, 0, 0, 20, 0, 36, 0, 0, 0, 24, 0, 0, 0, -48, 0, 46, 0, 0, 0, -66, 0, 8, 0, 0, 0, -24, 0, -58, 0, 0, 0, -12, 0, -56, 0, 0, 0, -72, 0, 6, 0, 0, 0, 90, 0, -44, 0, 0, 0, 0, 0, -4, 0, 0, 0, -30, 0, -8, 0, -54, 0, -64, 0, -16, 0, 0, 0, 0, 0, -40, 0, 0, 0, 24, 0, 0, 0, -24, 0, 78, 0, -24, 0, 0, 0, 24, 0, 2, 0, 0, 0, -32, 0, 52, 0, -54, 0, 36, 0, -4, 0, 0, 0, 66, 0, 56, 0, 0, 0, 0, 0, 0, 0, -48, 0, -32, 0, 36, 0, 0, 0, -48, 0, 38, 0, 0, 0, 78, 0, -76, 0, -36, 0, 0, 0, -10, 0, 0, 0, -54, 0, 72, 0, 0, 0, 40, 0, -31, 0, 0, 0, -8, 0, -24, 0, 0, 0, -8, 0, -32, 0, 0, 0, -18, 0, 72, 0, 66, 0, 0, 0, 2, 0, 0, 0, 128, 0, 0, 0, 0, 0, 40, 0, 18, 0, -48, 0, 70, 0, -72, 0, 0, 0, -48, 0, 48, 0, 0, 0, 0, 0, -40, 0, 0, 0, 48, 0, 32, 0, 0, 0, 0, 0, -12, 0, 0, 0, -120, 0, -54, 0, 0, 0, 74, 0, -8, 0, 0, 0, -32, 0, -32, 0, 0, 0, 64, 0, 0, 0, 42, 0, -80, 0, 0, 0, 0, 0, 60, 0, 72, 0, 0, 0, -24, 0, 4, 0, 36, 0, 0, 0, -24, 0, 0, 0, 0, 0, -74, 0, 0, 0, 10, 0, -12, 0, 18, 0, 52, 0, 0, 0, 0, 0, -48, 0, 64, 0, 0, 0, -36, 0, -4, 0, 48, 0, 6, 0, 72, 0, 0, 0, 48, 0, -86, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 16, 0, 8, 0, 0, 0, 0, 0, -60, 0, -72, 0, 0, 0, 40, 0, 0, 0, -52, 0, -14, 0, 0, 0, 54, 0, 56, 0, 0, 0, -24, 0, -52, 0, 0, 0, 50, 0, 24, 0, 0, 0, 72, 0, -70, 0, 0, 0, 90, 0, -40, 0, 0, 0, -8, 0, 0, 0, 0, 0, 42, 0, 0, 0, -18, 0, 48, 0, -32, 0, 0, 0, -14, 0, 28, 0, 0, 0, 0, 0, -32, 0, -72, 0, 62, 0, -8, 0, 0, 0, 84, 0, -24, 0, 0, 0, 0, 0, -8, 0, 0, 0, -8, 0, 22, 0, 0, 0, 96, 0, -24, 0, 0, 0, -32, 0, -98, 0, 24, 0, 82, 0, 0, 0, 0, 0, 4, 0, 12, 0, 0, 0, -12, 0, -36, 0, 48, 0, 0, 0, -10, 0, 0, 0, 0, 0, -64, 0, 0, 0, 24, 0, 6, 0, 0, 0, 74, 0, 32, 0, 0, 0, -64, 0, 0, 0, 0, 0, -26, 0, -16, 0, -60, 0, -24, 0, -70, 0, 0, 0, -14, 0, -48, 0, 0, 0, 40, 0, 0, 0, -36, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -24, 0, 0, 0, -44, 0, 60, 0, 0, 0, -26, 0, 28, 0, 0, 0, 16, 0, -82, 0, -84, 0, -30, 0, 36, 0, 0, 0, 56, 0, -17, 0, 0, 0, 12, 0, 8, 0, -66, 0, -96, 0, -32, 0, 0, 0, -14, 0, 0, 0, 0, 0, -40, 0, 78, 0, 72, 0, -42, 0, 0, 0, 0, 0, -44, 0, -76, 0, 0, 0, 0, 0, -16, 0, -30, 0, -64, 0, -22, 0, 0, 0, 42, 0, 104, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -48, 0, 0, 0, -68, 0, 16, 0, 0, 0, -28, 0, 28, 0, 0, 0, 108, 0, 0, 0, 0, 0, -18, 0, 48, 0, 0, 0, 24, 0, 32, 0, 0, 0, -50, 0, -24, 0, 0, 0, 0, 0, 50, 0, 0, 0, -32, 0, 24, 0, -6, 0, 84, 0, 60, 0, 0, 0, 32, 0, -8, 0, 0, 0, 92, 0, 0, 0, 0, 0, 32, 0, 88, 0, 0, 0, 48, 0, -58, 0, 0, 0, 14, 0, 0, 0, 0, 0, -96, 0, 36, 0, 0, 0, -10, 0, 20, 0, 0, 0, 0, 0, -12, 0, 12, 0, 0, 0, -8, 0, 0, 0, 48, 0, 90, 0, 0, 0, 36, 0, 48, 0, 18, 0, 84, 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, 0, 0, 2, 0, 4, 0, -3, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, -1, 0, 0, 0, -6, 0, 4, 0, 0, 0, 8, 0, 2, 0, 0, 0, 6, 0, -4, 0, -6, 0, 0, 0, 9, 0, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 10, 0, -12, 0, -4, 0, -4, 0, 0, 0, -4, 0, 6, 0, 0, 0, 0, 0, 12, 0, 9, 0, 4, 0, 0, 0, 0, 0, 10, 0, -8, 0, 0, 0, 8, 0, -2, 0, 0, 0, -10, 0, -8, 0, 0, 0, 8, 0, -6, 0, 0, 0, 14, 0, 8, 0, 6, 0, 0, 0, -11, 0, 0, 0, -12, 0, -8, 0, 0, 0, 16, 0, 16, 0, 0, 0, -6, 0, -8, 0, 0, 0, 0, 0, -12, 0, 0, 0, -10, 0, 16, 0, 0, 0, 8, 0, -2, 0, 0, 0, 16, 0, 24, 0, 0, 0, -4, 0, -9, 0, -12, 0, -22, 0, -4, 0, 0, 0, -12, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 16, 0, -2, 0, 0, 0, 18, 0, -20, 0, 0, 0, -24, 0, 12, 0, -12, 0, 0, 0, 8, 0, 0, 0, -8, 0, 16, 0, 0, 0, 0, 0, -24, 0, 3, 0, -24, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 16, 0, -18, 0, 0, 0, 18, 0, -8, 0, 0, 0, -12, 0, 0, 0, 0, 0, 18, 0, 8, 0, 18, 0, 16, 0, 12, 0, 0, 0, -22, 0, 16, 0, 0, 0, 0, 0, -14, 0, -12, 0, -6, 0, -16, 0, 0, 0, 24, 0, 0, 0, 0, 0, 6, 0, 24, 0, 0, 0, -8, 0, -16, 0, 0, 0, 20, 0, 12, 0, 0, 0, 28, 0, 22, 0, -24, 0, 10, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, -6, 0, -8, 0, 14, 0, 0, 0, 0, 0, 8, 0, 0, 0, 32, 0, -18, 0, 0, 0, -30, 0, -8, 0, 0, 0, 0, 0, -3, 0, 0, 0, 12, 0, 28, 0, -18, 0, 24, 0, 6, 0, 0, 0, 12, 0, -8, 0, 0, 0, 24, 0, 0, 0, 12, 0, 6, 0, 0, 0, 0, 0, 24, 0, -6, 0, 0, 0, 14, 0, -8, 0, 18, 0, 0, 0, 26, 0, 0, 0, 48, 0, 8, 0, 0, 0, 8, 0, 22, 0, 0, 0, 0, 0, 40, 0, 0, 0, 12, 0, 2, 0, 0, 0, 16, 0, -20, 0, -27, 0, -28, 0, 20, 0, 0, 0, -34, 0, 0, 0, 0, 0, -16, 0, -6, 0, 0, 0, -2, 0, -32, 0, 0, 0, -12, 0, -16, 0, 0, 0, 0, 0, -4, 0, -18, 0, 36, 0, -4, 0, 0, 0, -4, 0, 20, 0, 0, 0, -20, 0, 0, 0, 0, 0, -16, 0, -40, 0, 0, 0, -12, 0, -20, 0, 0, 0, -2, 0, 24, 0, 0, 0, -16, 0, 0, 0, 0, 0, -26, 0, 36, 0, 0, 0, 0, 0, -7, 0, -36, 0, -12, 0, 16, 0, 0, 0, 0, 0, -6, 0, 0, 0, -12, 0, -32, 0, -30, 0, -24, 0, 48, 0, 0, 0, 30, 0, 8, 0, 0, 0, 4, 0, 28, 0, 36, 0, -38, 0, -32, 0, 0, 0, -4, 0, -14, 0, 0, 0, 16, 0, 0, 0, 12, 0, -4, 0, 16, 0, 0, 0, 18, 0, 0, 0, 0, 0, 24, 0, -10, 0, 12, 0, -22, 0, 20, 0, 0, 0, 0, 0, -26, 0, 0, 0, 6, 0, -48, 0, 0, 0, 40, 0, -19, 0, 0, 0, 0, 0, -16, 0, 0, 0, -16, 0, -18, 0, 12, 0, 30, 0, 32, 0, 0, 0, -8, 0, 0, 0, 0, 0, -6, 0, 32, 0, -18, 0, -4, 0, 38, 0, 0, 0, 32, 0, -24, 0, 0, 0, 0, 0, -2, 0, 0, 0, -30, 0, -8, 0, 0, 0, -40, 0, -12, 0, 0, 0, -12, 0, -8, 0, 0, 0, -16, 0, 0, 0, 0, 0, -18, 0, 8, 0, 0, 0, -40, 0, 34, 0, -36, 0, 16, 0, 0, 0, 0, 0, 4, 0, -32, 0, 0, 0, 6, 0, -40, 0, -27, 0, 0, 0, -50, 0, 0, 0, 0, 0, -28, 0, 0, 0, 12, 0, -20, 0, -12, 0, 32, 0, 20, 0, 0, 0, 32, 0, 22, 0, 0, 0, -22, 0, -24, 0, 0, 0, -24, 0, -14, 0, 0, 0, -26, 0, -4, 0, 0, 0, 24, 0, 0, 0, 0, 0, -4, 0, -32, 0, 0, 0, 56, 0, -20, 0, 0, 0, -50, 0, 0, 0, -30, 0, 0, 0, 32, 0, 0, 0, -26, 0, 40, 0, 0, 0, 48, 0, -16, 0, 24, 0, 18, 0, 20, 0, 0, 0, -48, 0, -34, 0, 0, 0, 0, 0, -8, 0, 0, 0, 20, 0, 7, 0, 0, 0, -18, 0, -44, 0, 0, 0, 8, 0, -14, 0, -24, 0, -10, 0, -52, 0, 0, 0, -16, 0, -44, 0, 0, 0, 0, 0, 8, 0, 6, 0, -48, 0, -6, 0, 0, 0, 46, 0, 12, 0, 0, 0, 12, 0, -32, 0, 0, 0, 0, 0, -24, 0, 0, 0, -24, 0, 0, 0, 0, 0, 4, 0, 32, 0, 30, 0, -4, 0, 0, 0, 0, 0, 64, 0, -24, 0, 0, 0, 8, 0, -2, 0, 24, 0, 30, 0, 36, 0, 0, 0, 0, 0, 10, 0, 0, 0, -6, 0, 24, 0, 0, 0, 32, 0, -12, 0, 0, 0, -22, 0, 32, 0, 0, 0, -24, 0, -15, 0, -24, 0, -4, 0, 0, 0, 0, 0, 12, 0, -32, 0, 0, 0, 18, 0, 0, 0, 18, 0, 12, 0, 36, 0, 0, 0, -16, 0, -12, 0, 0, 0, -40, 0, -46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 14, 0, 0, 0, -30, 0, -48, 0, -42, 0, 36, 0, 14, 0, 0, 0, -6, 0, -24, 0, 0, 0, -12, 0, 58, 0, -24, 0, 0, 0, -40, 0, 0, 0, -40, 0, 0, 0, 0, 0, 22, 0, 8, 0, -18, 0, 16, 0, 64, 0, 0, 0, 18, 0, 48, 0, 0, 0, 0, 0, -50, 0, 0, 0, -12, 0, 4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 33, 0, 0, 0, -62, 0, 0, 0, 42, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -48, 0, 26, 0, 0, 0, 48, 0, -36, 0, 36, 0, 36, 0, 38, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 96, 0, 24, 0, 12, 0, 8, 0, 0, 0, -12, 0, -2, 0, 0, 0, -20, 0, 40, 0, 0, 0, -16, 0, 12, 0, 0, 0, -16, 0, -28, 0, 0, 0, 0, 0, 0, 0, -48, 0, -34, 0, -36, 0, 0, 0, 0, 0, -36, 0, 0, 0, -26, 0, 32, 0, -48, 0, 0, 0, 14, 0, 0, 0, -36, 0, 0, 0, 0, 0, -88, 0, 10, 0, 0, 0, -66, 0, 24, 0, 0, 0, 56, 0, -9, 0, 0, 0, 10, 0, -36, 0, 18, 0, -16, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, -14, 0, 24, 0, -48, 0, -24, 0, 0, 0, 20, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 24, 0, -16, 0, 0, 0, -34, 0, -16, 0, 0, 0, -60, 0, 36, 0, 0, 0, 6, 0, -44, 0, 0, 0, 16, 0, 46, 0, 0, 0, 54, 0, 36, 0, 36, 0, 60, 0, 0, 0, 0, 0, 20, 0, 32, 0, 0, 0, 4, 0, 38, 0, 0, 0, -6, 0, -16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 64, 0, 16, 0, 30, 0, 0, 0, -44, 0, 0, 0, -16, 0, -8, 0, 0, 0, 32, 0, 48, 0, -48, 0, 18, 0, 0, 0, 0, 0, -12, 0, -33, 0, 0, 0, -50, 0, 0, 0, 0, 0, 72, 0, -58, 0, 0, 0, -28, 0, 24, 0, 0, 0, -16, 0, -80, 0, -24, 0, 0, 0, -36, 0, 0, 0, 40, 0, -12, 0, 0, 0, 66, 0, 0, 0, 6, 0, -32, 0, 12, 0, 0, 0, -54, 0, -28, 0, 0, 0, -20, 0, -26, 0, 0, 0, -42, 0, 48, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -32, 0, -48, 0, 0, 0, 62, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 12, 0, -72, 0, -28, 0, -8, 0, 0, 0, -12, 0, 32, 0, 0, 0, -6, 0, 68, 0, 0, 0, -56, 0, -50, 0, 0, 0, -14, 0, -16, 0, 0, 0, -24, 0, 48, 0, 12, 0, -32, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 12, 0, 36, 0, 27, 0, -56, 0, -10, 0, 0, 0, 0, 0, 4, 0, 0, 0, 24, 0, -36, 0, 36, 0, -16, 0, -24, 0, 0, 0, 0, 0, -18, 0, 0, 0, -18, 0, 56, 0, 66, 0, 28, 0, -96, 0, 0, 0, 44, 0, -28, 0, 0, 0, -8, 0, 22, 0, 12, 0, 16, 0, -52, 0, 0, 0, 24, 0, 20, 0, 0, 0, -96, 0, -8, 0, 0, 0, 0, 0, -2, 0, 0, 0, -34, 0, 24, 0, 0, 0, -16, 0, -26, 0, 36, 0, -18, 0, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, 24, 0, -8, 0, -6, 0, 24, 0, -16, 0, 0, 0, 2, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -8, 0, -22, 0, 0, 0, 0, 0, 36, 0, -12, 0, 60, 0, 2, 0, 0, 0, 64, 0, 4, 0, 0, 0, 24, 0, -5, 0, 0, 0, 28, 0, -72, 0, 0, 0, 40, 0, 10, 0, 0, 0, 62, 0, -36, 0, 0, 0, -32, 0, 0, 0, 0, 0, -2, 0, -72, 0, 0, 0, 16, 0, 0, 0, -48, 0, 58, 0, -80, 0, 0, 0, 0, 0, -32, 0, 0, 0, 6, 0, 64, 0, 6, 0, 0, 0, -6, 0, 0, 0, -36, 0, -4, 0, 0, 0, 0, 0, 58, 0, 0, 0, -48, 0, 56, 0, 0, 0, -24, 0, -60, 0, 0, 0, -60, 0, 0, 0, -54, 0, 4, 0, -14, 0, 0, 0, 12, 0, 16, 0, 0, 0, -36, 0, 46, 0, 60, 0, 0, 0, 0, 0, 0, 0, 72, 0, 58, 0, 0, 0, -6, 0, 16, 0, 0, 0, -76, 0, 18, 0, 0, 0, 48, 0, 0, 0, 0, 0, 48, 0, -6, 0, 72, 0, 48, 0, 12, 0, 0, 0, 56, 0, 0, 0, 0, 0, 64, 0, -8, 0, -36, 0, 4, 0, -27, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -10, 0, 36, 0, 12, 0, 24, 0, 0, 0, -48, 0, -18, 0, 0, 0, 66, 0, -32, 0, 0, 0, -88, 0, 24, 0, 0, 0, -14, 0, 40, 0, 0, 0, -16, 0, 64, 0, -24, 0, 42, 0, 0, 0, 0, 0, -48, 0, 16, 0, 0, 0, -22, 0, 48, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, -54, 0, 24, 0, 20, 0, -56, 0, 0, 0, 24, 0, 12, 0, 0, 0, -54, 0, 48, 0, -48, 0, 0, 0, -32, 0, 0, 0, 12, 0, -32, 0, 0, 0, -24, 0, 0, 0, 0, 0, 6, 0, -12, 0, 0, 0, 64, 0, -64, 0, 0, 0, -12, 0, -44, 0, 0, 0, 0, 0, -6, 0, 0, 0, 78, 0, -4, 0, 0, 0, -48, 0, 28, 0, 72, 0, 54, 0, -40, 0, 0, 0, -16, 0, -2, 0, 0, 0, 0, 0, 0, 0, -9, 0, 68, 0, 26, 0, 0, 0, 32, 0, 0, 0, 0, 0, 72, 0, 4, 0, 72, 0, 52, 0, 40, 0, 0, 0, 24, 0, 38, 0, 0, 0, 0, 0, 24, 0, -18, 0, -20, 0, 96, 0, 0, 0, 82, 0, -24, 0, 0, 0, -4, 0, -16, 0, 0, 0, -66, 0, 4, 0, 0, 0, 40, 0, 10, 0, 0, 0, -32, 0, 16, 0, -18, 0, 20, 0, 0, 0, 0, 0, 44, 0, -36, 0, 0, 0, 4, 0, -34, 0, 0, 0, -36, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 56, 0, 0, 0, 80, 0, -42, 0, 0, 0, -34, 0, -64, 0, 0, 0, 56, 0, 48, 0, -48, 0, 6, 0, 24, 0, 0, 0, 0, 0, -78, 0, 0, 0, 4, 0, 0, 0, 54, 0, 8, 0, 36, 0, 0, 0, 112, 0, 0, 0, 0, 0, 24, 0, 32, 0, 0, 0, 0, 0, 88, 0, 0, 0, -40, 0, 44, 0, 0, 0, -16, 0, 64, 0, -54, 0, -60, 0, -47, 0, 0, 0, -30, 0, -56, 0, 0, 0, 40, 0, 58, 0, 24, 0, -10, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -54, 0, -12, 0, 0, 0, -36, 0, -68, 0, 0, 0, 44, 0, -16, 0, 0, 0, 0, 0, 20, 0, 36, 0, 0, 0, 24, 0, 0, 0, -48, 0, 46, 0, 0, 0, -66, 0, 8, 0, 0, 0, -24, 0, -58, 0, 0, 0, -12, 0, -56, 0, 0, 0, -72, 0, 6, 0, 0, 0, 90, 0, -44, 0, 0, 0, 0, 0, -4, 0, 0, 0, -30, 0, -8, 0, -54, 0, -64, 0, -16, 0, 0, 0, 0, 0, -40, 0, 0, 0, 24, 0, 0, 0, -24, 0, 78, 0, -24, 0, 0, 0, 24, 0, 2, 0, 0, 0, -32, 0, 52, 0, -54, 0, 36, 0, -4, 0, 0, 0, 66, 0, 56, 0, 0, 0, 0, 0, 0, 0, -48, 0, -32, 0, 36, 0, 0, 0, -48, 0, 38, 0, 0, 0, 78, 0, -76, 0, -36, 0, 0, 0, -10, 0, 0, 0, -54, 0, 72, 0, 0, 0, 40, 0, -31, 0, 0, 0, -8, 0, -24, 0, 0, 0, -8, 0, -32, 0, 0, 0, -18, 0, 72, 0, 66, 0, 0, 0, 2, 0, 0, 0, 128, 0, 0, 0, 0, 0, 40, 0, 18, 0, -48, 0, 70, 0, -72, 0, 0, 0, -48, 0, 48, 0, 0, 0, 0, 0, -40, 0, 0, 0, 48, 0, 32, 0, 0, 0, 0, 0, -12, 0, 0, 0, -120, 0, -54, 0, 0, 0, 74, 0, -8, 0, 0, 0, -32, 0, -32, 0, 0, 0, 64, 0, 0, 0, 42, 0, -80, 0, 0, 0, 0, 0, 60, 0, 72, 0, 0, 0, -24, 0, 4, 0, 36, 0, 0, 0, -24, 0, 0, 0, 0, 0, -74, 0, 0, 0, 10, 0, -12, 0, 18, 0, 52, 0, 0, 0, 0, 0, -48, 0, 64, 0, 0, 0, -36, 0, -4, 0, 48, 0, 6, 0, 72, 0, 0, 0, 48, 0, -86, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 16, 0, 8, 0, 0, 0, 0, 0, -60, 0, -72, 0, 0, 0, 40, 0, 0, 0, -52, 0, -14, 0, 0, 0, 54, 0, 56, 0, 0, 0, -24, 0, -52, 0, 0, 0, 50, 0, 24, 0, 0, 0, 72, 0, -70, 0, 0, 0, 90, 0, -40, 0, 0, 0, -8, 0, 0, 0, 0, 0, 42, 0, 0, 0, -18, 0, 48, 0, -32, 0, 0, 0, -14, 0, 28, 0, 0, 0, 0, 0, -32, 0, -72, 0, 62, 0, -8, 0, 0, 0, 84, 0, -24, 0, 0, 0, 0, 0, -8, 0, 0, 0, -8, 0, 22, 0, 0, 0, 96, 0, -24, 0, 0, 0, -32, 0, -98, 0, 24, 0, 82, 0, 0, 0, 0, 0, 4, 0, 12, 0, 0, 0, -12, 0, -36, 0, 48, 0, 0, 0, -10, 0, 0, 0, 0, 0, -64, 0, 0, 0, 24, 0, 6, 0, 0, 0, 74, 0, 32, 0, 0, 0, -64, 0, 0, 0, 0, 0, -26, 0, -16, 0, -60, 0, -24, 0, -70, 0, 0, 0, -14, 0, -48, 0, 0, 0, 40, 0, 0, 0, -36, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -24, 0, 0, 0, -44, 0, 60, 0, 0, 0, -26, 0, 28, 0, 0, 0, 16, 0, -82, 0, -84, 0, -30, 0, 36, 0, 0, 0, 56, 0, -17, 0, 0, 0, 12, 0, 8, 0, -66, 0, -96, 0, -32, 0, 0, 0, -14, 0, 0, 0, 0, 0, -40, 0, 78, 0, 72, 0, -42, 0, 0, 0, 0, 0, -44, 0, -76, 0, 0, 0, 0, 0, -16, 0, -30, 0, -64, 0, -22, 0, 0, 0, 42, 0, 104, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -48, 0, 0, 0, -68, 0, 16, 0, 0, 0, -28, 0, 28, 0, 0, 0, 108, 0, 0, 0, 0, 0, -18, 0, 48, 0, 0, 0, 24, 0, 32, 0, 0, 0, -50, 0, -24, 0, 0, 0, 0, 0, 50, 0, 0, 0, -32, 0, 24, 0, -6, 0, 84, 0, 60, 0, 0, 0, 32, 0, -8, 0, 0, 0, 92, 0, 0, 0, 0, 0, 32, 0, 88, 0, 0, 0, 48, 0, -58, 0, 0, 0, 14, 0, 0, 0, 0, 0, -96, 0, 36, 0, 0, 0, -10, 0, 20, 0, 0, 0, 0, 0, -12, 0, 12, 0, 0, 0, -8, 0, 0, 0, 48, 0, 90, 0, 0, 0, 36, 0, 48, 0, 18, 0, 84, 0]}