# Stored data for newform 6534.2.a.l, downloaded from the LMFDB on 22 September 2026.
{"Nk2": 26136, "analytic_conductor": 52.174252680704605, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [11, -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": [6534, 1, [6293, 3511], [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": [[5, [-2, 1]], [7, [-1, 1]], [13, [6, 1]], [17, [5, 1]], [29, [9, 1]]], "hecke_orbit": 12, "hecke_orbit_code": 49539595934636422, "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": "6534.2.a.l", "level": 6534, "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, 11], "level_radical": 66, "minimal_twist": "594.2.a.b", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\\cdots", "related_objects": ["EllipticCurve/Q/6534/l"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "6534.2.a", "trace_display": [-1, 0, 2, 1], "trace_hash": 2299470797909975456, "trace_moments": [{"__RealLiteral__": 0, "data": "0.012", "prec": 7}, {"__RealLiteral__": 0, "data": "0.955", "prec": 10}, {"__RealLiteral__": 0, "data": "0.029", "prec": 7}, {"__RealLiteral__": 0, "data": "1.809", "prec": 14}, {"__RealLiteral__": 0, "data": "0.067", "prec": 7}, {"__RealLiteral__": 0, "data": "4.281", "prec": 14}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.012", "prec": 7}, "traces": [0, 1, -1, 0, 1, 2, 0, 1, -1, 0, -2, 0, 0, -6, -1, 0, 1, -5, 0, 8, 2, 0, 0, 1, 0, -1, 6, 0, 1, -9, 0, 0, -1, 0, 5, 2, 0, -3, -8, 0, -2, 9, 0, 5, 0, 0, -1, 9, 0, -6, 1, 0, -6, -4, 0, 0, -1, 0, 9, 3, 0, 2, 0, 0, 1, -12, 0, 4, -5, 0, -2, 0, 0, 12, 3, 0, 8, 0, 0, 7, 2, 0, -9, 2, 0, -10, -5, 0, 0, -2, 0, -6, 1, 0, -9, 16, 0, 19, 6, 0, -1, 7, 0, 6, 6, 0, 4, 14, 0, 18, 0, 0, 1, -4, 0, 2, -9, 0, -3, -5, 0, 0, -2, 0, 0, -12, 0, 12, -1, 0, 12, -10, 0, 8, -4, 0, 5, -16, 0, 19, 2, 0, 0, 0, 0, -18, -12, 0, -3, -2, 0, 8, -8, 0, 0, 0, 0, 11, -7, 0, -2, 1, 0, 10, 9, 0, -2, -6, 0, 23, 10, 0, 5, 10, 0, -1, 0, 0, 2, -1, 0, 19, 6, 0, -1, -6, 0, 0, 9, 0, -16, 27, 0, -10, -19, 0, -6, -1, 0, 8, 1, 0, -7, -9, 0, 18, -6, 0, -6, 0, 0, -23, -4, 0, -14, 10, 0, 0, -18, 0, 0, 30, 0, -12, -1, 0, 4, 18, 0, -1, -2, 0, 9, -22, 0, 18, 3, 0, 5, -20, 0, -10, 0, 0, 2, -12, 0, -48, 0, 0, 12, 5, 0, 0, -12, 0, 1, -22, 0, -3, -12, 0, 10, -30, 0, -8, -8, 0, 4, 8, 0, 25, -5, 0, 16, 0, 0, -8, -19, 0, -2, -11, 0, -4, 0, 0, 0, 9, 0, 8, 18, 0, 12, 14, 0, 6, 3, 0, 2, -6, 0, 5, -8, 0, 8, 4, 0, -19, 0, 0, 0, 31, 0, -34, -11, 0, 7, 18, 0, 0, 2, 0, -1, -40, 0, 6, -10, 0, -9, 9, 0, 20, 2, 0, 6, 8, 0, -18, -23, 0, -10, 0, 0, -13, -5, 0, -10, -32, 0, -30, 1, 0, 0, -6, 0, 0, -2, 0, 1, 18, 0, 45, -19, 0, -6, 24, 0, -28, 1, 0, 6, -4, 0, 8, 0, 0, -9, 54, 0, -10, 16, 0, -27, -16, 0, 0, 10, 0, 19, 6, 0, -5, 6, 0, 1, 14, 0, 10, -8, 0, -1, -2, 0, 0, 7, 0, 9, 0, 0, 32, -18, 0, 6, 3, 0, 4, 6, 0, 0, -12, 0, -7, 23, 0, 4, 5, 0, 2, 14, 0, -10, 18, 0, 29, 0, 0, 18, 8, 0, 29, 0, 0, -30, -8, 0, -4, 12, 0, 1, 8, 0, 0, -4, 0, -18, -12, 0, 26, 1, 0, 2, -26, 0, 12, -9, 0, 22, 27, 0, 4, -18, 0, -3, 0, 0, -8, -5, 0, 20, 36, 0, 18, 10, 0, 0, 38, 0, -16, -2, 0, 12, -26, 0, 45, 48, 0, 0, 0, 0, 14, -12, 0, -5, 22, 0, 14, 0, 0, 12, -10, 0, 12, -1, 0, 22, 12, 0, 0, 3, 0, 12, -6, 0, 1, -10, 0, 30, 0, 0, -22, 8, 0, 8, -54, 0, 28, -4, 0, -8, 0, 0, -10, -25, 0, 5, 36, 0, -23, -16, 0, 0, -72, 0, 7, 8, 0, 19, -3, 0, -30, 2, 0, 11, 38, 0, -8, 4, 0, 0, -22, 0, -1, 0, 0, -9, -1, 0, -7, -8, 0, -18, 2, 0, 0, -12, 0, -14, 3, 0, 0, -6, 0, -3, 33, 0, -10, -2, 0, 6, 27, 0, 20, -5, 0, 8, 0, 0, 8, -8, 0, -4, -54, 0, -6, 19, 0, 0, -28, 0, 32, 0, 0, -31, -2, 0, -19, 34, 0, 11, 15, 0, 10, -7, 0, -18, 24, 0, 36, 0, 0, -2, 18, 0, -34, 1, 0, 40, 20, 0, 0, -6, 0, 10, 36, 0, -20, 9, 0, -9, -36, 0, 39, -20, 0, -2, 16, 0, -9, -6, 0, -8, 0, 0, 34, 18, 0, 23, 47, 0, 19, 10, 0, 0, -39, 0, -32, 13, 0, 5, 24, 0, -36, 10, 0, 32, 38, 0, -45, 30, 0, -1, 9, 0, -24, 0, 0, 6, 7, 0, -21, 0, 0, 2, 0, 0, 0, -1, 0, -18, -36, 0, 6, -45, 0, 19, 9, 0, -36, 6, 0, -24, -25, 0, -8, 28, 0, -1, 0, 0, 1, -6, 0, 4, -28, 0, -4, -8, 0, 0, 14, 0, 26, 9, 0, -54, 16, 0, -43, 10, 0, -16, -42, 0, 18, 27, 0, 16, -18, 0, -34, 0, 0, -10, 48, 0, 0, -19, 0, -6, 72, 0, 0, 5, 0, -6, 22, 0, -52, -1, 0, -14, -4, 0, -12, -10, 0, 8, 36, 0, -45, 1, 0, 2, 0, 0, 2, 0, 0, -7, 23, 0, 13, -9, 0, 0, 20, 0, 40, -32, 0, 18, 11, 0, -16, -6, 0, -3, -20, 0, -23, -4, 0, -6, 30, 0, -12, 0, 0, 12, -9, 0, 52, 7, 0, -23, 46, 0, 0, -4, 0, -5, -3, 0, 0, -2, 0, -14, 7, 0, 40, 10, 0, -18, 11, 0, 20, -29, 0, 0, 0, 0, -24, -18, 0, -8, -12, 0, -18, -29, 0, 0, 46, 0, 22, 30, 0, 8, 12, 0, 12, 4, 0, -12, 72, 0, -2, -1, 0, -8, 0, 0, 20, 0, 0, 4, 38, 0, 46, 18, 0, 12, 9, 0, 0, -26, 0, -1, -10, 0, 31, -2, 0, 26, 0, 0, 3, -12, 0, 9, -48, 0, -48, -22, 0, -27, 0, 0, 14, -4, 0, 18, 27, 0, 9, 3, 0, 0, 24, 0, -72, 8, 0, 5, -21, 0, 54, -20, 0, -36, -16, 0, -31, -18, 0, -10, -20, 0, -13, 0, 0, -38, 12, 0, 19, 16, 0, 2, 2, 0, 0, -12, 0, 26, 24, 0, -2, -45, 0, -48, 5, 0, -28, 0, 0, 0, 16, 0, 8, -14, 0, 12, 0, 0, -15, 5, 0, -22, -32, 0, 14, -14, 0, 0, -4, 0, -18, -12, 0, 10, 40, 0, -13, -12, 0, 1, -9, 0, -42, -22, 0, -12, -30, 0, 4, 0, 0, -3, -10, 0, 54, -12, 0, 6, -2, 0, 0, -1, 0, 10, -14, 0, 4, -30, 0, 0, -46, 0, 8, 22, 0, -8, 54, 0, 3, -8, 0, 54, 0, 0, 4, -28, 0, 4, 27, 0, -5, 8, 0, 0, -12, 0, 9, 10, 0, 25, 0, 0, 10, -5, 0, -36, -42, 0, 9, 23, 0, 16, -9, 0, 11, 0, 0, 72, -27, 0, 60, -7, 0, -8, -40, 0, 0, -19, 0, 3, -24, 0, -8, 30, 0, -2, 24, 0, -42, -11, 0, -38, -6, 0, -24, 8, 0, -4, 0, 0, 36, 0, 0, 22, -20, 0, 10, 1, 0, 0, -2, 0, 0, 9, 0, 1, 56, 0, -13, 7, 0, 8, 12, 0, 16, 18, 0, -2, -12, 0, -44, 0, 0, 12, -6, 0, 42, 14, 0, -3, -9, 0, 0, 0, 0, 6, -18, 0, 23, 3, 0, -33, 64, 0, -81, 10, 0, 2, -52, 0, -40, -6, 0, -27, 0, 0, 12, -20, 0, 5, -20, 0, 0, -8, 0, 0, 10, 0, 2, -8, 0, 8, -57, 0, -4, 4, 0, 54, 6, 0, 6, 6, 0, -19, 29, 0, 20, 0, 0, 28, -96, 0, -38, -32, 0, 0, -60, 0, 0, 31, 0, 2, -45, 0, -6, 19, 0, -34, -1, 0, 10, -11, 0, -15, 9, 0, -114, -10, 0, 7, 0, 0, 19, 18, 0, -24, 0, 0, 32, -36, 0, 0, 68, 0, 20, 2, 0, -18, 26, 0, -44, 34, 0, -1, -45, 0, -10, -40, 0, -20, -6, 0, 12, 0, 0, 6, 42, 0, -50, -10, 0, -36, -9, 0, 0, 20, 0, -9, -42, 0, -60, 9, 0, 36, -24, 0, -10, -39, 0, 20, 4, 0, 8, 2, 0, -16, 0, 0, 0, 9, 0, 6, 27, 0, -36, 8, 0, 0, -35, 0, 16, -34, 0, -18, 0, 0, -10, -23, 0, -47, 50, 0, 3, -19, 0, -10, 2, 0, -81, 0, 0, 39, -8, 0, -28, 32, 0, -13, -14, 0, 0, -5, 0, -24, -1, 0, -4, 36, 0, -10, -16, 0, 96, -32, 0, -38, -84, 0, 8, 45, 0, -30, 0, 0, -31, 1, 0, -9, 2, 0, -22, 24, 0, 0, 4, 0, -10, -6, 0, -7, -8, 0, -108, 21, 0, 0, 54, 0, -20, -2, 0, 0, -38, 0, -18, 0, 0, 1, 46, 0, 18, 18, 0, 36, -36, 0, 0, -6, 0, 45, 16, 0, 17, -19, 0, -9, -72, 0, -46, 36, 0, -6, 0, 0, -31, 24, 0, 25, 0, 0, 28, 8, 0, -28, 24, 0, 55, 1, 0, 0, -3, 0, -23, -1, 0, 6, -58, 0, -10, -4, 0, 28, -30, 0, -1, 4, 0, 8, 33, 0, -12, 0, 0, -14, 36, 0, 56, -26, 0, -9, 10, 0, 0, 54, 0, -16, 64, 0, 10, 43, 0, -10, -27, 0, 0, 16, 0, 42, 15, 0, -2, -18, 0, -27, 0, 0, 19, -16, 0, 18, -38, 0, 36, 34, 0, 0, 4, 0, -44, 10, 0, -48, 30, 0, -46, 0, 0, 19, -14, 0, 62, 6, 0, -72, 28, 0, -12, 0, 0, -5, -68, 0, 72, 6, 0, -22, -17, 0, 0, 52, 0, 1, 16, 0, 31, 14, 0, 4, -14, 0, 36, 12, 0, 10, 18, 0, -15, -8, 0, -36, 0, 0, -34, 45, 0, -1, -18, 0, -1, -2, 0, 0, -65, 0, 57, -2, 0, 0, -35, 0, -80, 7, 0, -23, -48, 0, -7, -13, 0, 9, 72, 0, 17, 0, 0, -20, -22, 0, 0, -40, 0, 32, -54, 0, 0, -18, 0, -11, 0, 0, 18, 16, 0, 6, -95, 0, -72, 3, 0, 20, 40, 0, 30, 23, 0, 4, 0, 0, 71, 6, 0, -30, -6, 0, 78, 12, 0, 0, -20, 0, -4, -12, 0, 9, 12, 0, 40, -52, 0, -7, -36, 0, -10, 23, 0, -46, -16, 0, -54, 0, 0, 4, -42, 0, 62, 5, 0, 3, 60, 0, 0, 0, 0, 2, 58, 0, -27, 14, 0, -7, -26, 0, -35, -40, 0, -10, -6, 0, 9, 18, 0, -11, 0, 0, -48, -20, 0, 29, -41, 0, -64, 0, 0, 0, -27, 0, 2, 24, 0, 18, -60, 0, -6, 8, 0, 12, -30, 0, -77, 18, 0, 29, 5, 0, -4, 0, 0, -46, 45, 0, -12, -22, 0, -30, -18, 0, 0, -8, 0, -12, 0, 0, -4, -12, 0, -4, 96, 0, -34, 12, 0, -72, 61, 0, -38, 2, 0, 1, 0, 0, 36, 8, 0, 0, -22, 0, -22, -20, 0, 0, 90, 0, -114, -4, 0, -38, 58, 0, 18, -46, 0, -18, 7, 0, -70, -12, 0, -9, -60, 0, -12, 0, 0, 26, 0, 0, -8, 1, 0, 10, -56, 0, 0, -31, 0, 2, -30, 0, 152, -26, 0, 0, 60, 0, -18, -3, 0, 12, -90, 0, -8, -9, 0, 48, 0, 0, 34, 48, 0, 22, 16, 0, 27, 27, 0, 0, 57, 0, 19, -14, 0, 4, -57, 0, 66, -18, 0, -27, 8, 0, 108, -9, 0, -3, 50, 0, 0, 0, 0, -24, -20, 0, 25, 72, 0, -8, -52, 0, 0, -5, 0, 21, 15, 0, 2, -54, 0, 20, 45, 0, -32, 36, 0, 16, 56, 0, 20, 31, 0, 18, 0, 0, 81, 10, 0, 20, 36, 0, -10, 13, 0, 0, 12, 0, -8, 38, 0, -12, -36, 0, 12, -19, 0, -16, -74, 0, -68, -2, 0, -2, -10, 0, 48, 0, 0, 12, 12, 0, -48, -26, 0, -24, -11, 0, 0, 2, 0, 45, 74, 0, -7, 48, 0, -5, 12, 0, -4, 28, 0, 0, 20, 0, 19, 0, 0, -16, 0, 0, -68, -8, 0, 14, -43, 0, -40, -12, 0, 0, -24, 0, -4, 15, 0, -5, -54, 0, -32, 22, 0, 32, 0, 0, -3, -14, 0, 14, 45, 0, 8, 0, 0, 4, 60, 0, -34, 18, 0, 12, 112, 0, 0, -10, 0, -40, 39, 0, -66, 13, 0, 12, 64, 0, -2, -1, 0, 9, 14, 0, -74, 42, 0, 22, 0, 0, 0, 12, 0, 30, -84, 0, 6, -4, 0, 0, -54, 0, 144, 3, 0, 10, -2, 0, 0, -54, 0, 12, 45, 0, -12, -6, 0, 2, 38, 0, 20, 0, 0, 1, -6, 0, -24, -10, 0, 14, -61, 0, 0, -4, 0, 30, -14, 0, -30, 0, 0, 46, -38, 0, 39, -8, 0, -22, -108, 0, -60, 8, 0, -54, 0, 0, 60, -3, 0, 8, 75, 0, -87, -54, 0, 0, 4, 0, 13, -4, 0, 28, -7, 0, 16, -4, 0, -27, -32, 0, -19, 5, 0, -8, -31, 0, 36, 0, 0, 12, -60, 0, -43, -9, 0, -10, 58, 0, 0, -25, 0, 0, 36, 0, -36, -10, 0, 5, 31, 0, -36, 36, 0, 42, -9, 0, 16, -9, 0, -23, 0, 0, -34, -16, 0, 9, 58, 0, -60, -11, 0, 0, 0, 0, -34, -72, 0, 27, 42, 0, 34, -60, 0, 7, -37, 0, -16, 8, 0, 40, 18, 0, 6, 0, 0, 19, 2, 0, 50, -3, 0, 24, 19, 0, 0, 8, 0, -30, 6, 0, -77, 2, 0, -24, 4, 0, 16, 42, 0, 11, -60, 0, 36, 38, 0, 6, 0, 0, -6, 24, 0, -8, -40, 0, 0, 4, 0, 0, -84, 0, -33, -36, 0, 0, 37, 0, 6, -22, 0, 20, -20, 0, -39, -10, 0, -1, 52, 0, 56, 0, 0, 2, -63, 0, 19, 0, 0, -9, 48, 0, 0, -1, 0, -56, -54, 0, -52, 13, 0, -7, 53, 0, 58, -8, 0, -12, 24, 0, 20, -16, 0, -18, 0, 0, 7, 2, 0, 12, 6, 0, 80, 44, 0, 0, 42, 0, 54, -12, 0, 6, 44, 0, -41, -42, 0, -14, 8, 0, 8, 3, 0, 9, -38, 0, -114, 0, 0, 0, -14, 0, -18, -6, 0, 18, -95, 0, 0, -23, 0, -3, 6, 0, -65, 33, 0, -64, -96, 0, 41, 81, 0, -10, 24, 0, -9, -2, 0, 52, 0, 0, -84, 40, 0, 6, 38, 0, 72, 27, 0, 0, -40, 0, 29, -12, 0, 20, 36, 0, -18, -5, 0, 20, 88, 0, 96, 0, 0, 8, -33, 0, 27, 0, 0, -10, -32, 0, -19, -2, 0, 8, -32, 0, 0, -8, 0, 57, -32, 0, 34, 4, 0, -4, 74, 0, -30, -54, 0, -6, 19, 0, 0, -6, 0, -6, 0, 0, -52, 19, 0, -29, -20, 0, 14, -20, 0, 0, 90, 0, -46, -28, 0, 96, -6, 0, -43, 38, 0, 32, 73, 0, -12, 0, 0, 60, -162, 0, 0, 0, 0, -31, -80, 0, -36, -2, 0, 45, 28, 0, 0, 6, 0, -19, 18, 0, 81, 34, 0, 1, 18, 0, 60, -10, 0, 11, 18, 0, 44, 15, 0, -9, 0, 0, 52, 114, 0, 10, -7, 0, 45, -7, 0, 0, -39, 0, 10, -19, 0, -18, 15, 0, 60, 24, 0, 0, 30, 0, -20, -32, 0, 36, 3, 0, 36, 0, 0, -68, 24, 0, 38, -20, 0, -2, 6, 0, 0, 18, 0, -26, -40, 0, -28, 44, 0, -34, 0, 0, -6, 1, 0, 45, 11, 0, 18, 10, 0, 40, 0, 0, -48, 20, 0, 6, -16, 0, -86, -12, 0, 0, 24, 0, -4, -6, 0, -42, -128, 0, -12, 50, 0, 10, -49, 0, 8, 36, 0, 9, 2, 0, -68, 0, 0, -20, -4, 0, 10, 9, 0, 42, 0, 0, 0, 60, 0, -9, -30, 0, 0, -36, 0, 24, 54, 0, 152, 10, 0, 39, -44, 0, 88, -20, 0, -4, 0, 0, -10, -8, 0, -2, 67, 0, 79, 16, 0, 0, -9, 0, -108, 0, 0, -9, -55, 0, 82, -6, 0, -27, -14, 0, 46, 36, 0, -8, -16, 0, 36, 0, 0, 35, 3, 0, 22, -16, 0, 34, 0, 0, 0, 18, 0, 0, 91, 0, -36, 10, 0, 23, -20, 0, -24, 47, 0, -50, -28, 0, 46, -3, 0, 19, 0, 0, 21, 10, 0, -2, 6, 0, -18, 81, 0, 0, 70, 0, 48, -39, 0, 8, -46, 0, -5, 28, 0, -32, -78, 0, 138, 13, 0, 14, 36, 0, 44, 0, 0, 5, -30, 0, -144, 24, 0, 1, 0, 0, 0, 4, 0, -36, 14, 0, 5, 10, 0, 16, -50, 0, 27, -96, 0, 32, 4, 0, 10, 38, 0, 84, 0, 0, -6, -8, 0, -45, 65, 0, -47, 30, 0, 0, -60, 0, 86, 31, 0, -1, -87, 0, 16, 9, 0, -2, -2, 0, -37, 22, 0, -24, -171, 0, 76, 0, 0, -4, -29, 0, 0, 10, 0, 6, 4, 0, 0, 7, 0, 8, -16, 0, -14, 108, 0, -21, 77, 0, 30, 0, 0, -54, 84, 0, -44, 20, 0, 2, 0, 0, -9, 0, 0, 38, -2, 0, -46, 18, 0, 0, -52, 0, 32, -1, 0, -46, 18, 0, 64, -18, 0, -18, -115, 0, -12, -36, 0, 36, -62, 0, 20, 0, 0, 6, -14, 0, -32, -45, 0, -16, -18, 0, 0, -17, 0, 19, 14, 0, 72, 9, 0, 72, 54, 0, 4, 46, 0, -36, 96, 0, 0, 6, 0, 0, 0, 0, -42, 31, 0, -24, 12, 0, -21, -25, 0, 0, -55, 0, -63, -28, 0, -8, -12, 0, 6, 28, 0, -24, 42, 0, -50, -55, 0, -1, 0, 0, -7, 0, 0, 3, -108, 0, -73, 23, 0, 1, -12, 0, 0, -6, 0, 58, -51, 0, 66, 10, 0, 4, -11, 0, 16, -28, 0, 30, 5, 0, 6, 1, 0, -4, 0, 0, 88, -8, 0, -33, -54, 0, -12, 12, 0, 0, 108, 0, 54, 14, 0, -36, 18, 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, 2, 0, 1, -1, 0, -2, 0, 0, -6, -1, 0, 1, -5, 0, 8, 2, 0, 0, 1, 0, -1, 6, 0, 1, -9, 0, 0, -1, 0, 5, 2, 0, -3, -8, 0, -2, 9, 0, 5, 0, 0, -1, 9, 0, -6, 1, 0, -6, -4, 0, 0, -1, 0, 9, 3, 0, 2, 0, 0, 1, -12, 0, 4, -5, 0, -2, 0, 0, 12, 3, 0, 8, 0, 0, 7, 2, 0, -9, 2, 0, -10, -5, 0, 0, -2, 0, -6, 1, 0, -9, 16, 0, 19, 6, 0, -1, 7, 0, 6, 6, 0, 4, 14, 0, 18, 0, 0, 1, -4, 0, 2, -9, 0, -3, -5, 0, 0, -2, 0, 0, -12, 0, 12, -1, 0, 12, -10, 0, 8, -4, 0, 5, -16, 0, 19, 2, 0, 0, 0, 0, -18, -12, 0, -3, -2, 0, 8, -8, 0, 0, 0, 0, 11, -7, 0, -2, 1, 0, 10, 9, 0, -2, -6, 0, 23, 10, 0, 5, 10, 0, -1, 0, 0, 2, -1, 0, 19, 6, 0, -1, -6, 0, 0, 9, 0, -16, 27, 0, -10, -19, 0, -6, -1, 0, 8, 1, 0, -7, -9, 0, 18, -6, 0, -6, 0, 0, -23, -4, 0, -14, 10, 0, 0, -18, 0, 0, 30, 0, -12, -1, 0, 4, 18, 0, -1, -2, 0, 9, -22, 0, 18, 3, 0, 5, -20, 0, -10, 0, 0, 2, -12, 0, -48, 0, 0, 12, 5, 0, 0, -12, 0, 1, -22, 0, -3, -12, 0, 10, -30, 0, -8, -8, 0, 4, 8, 0, 25, -5, 0, 16, 0, 0, -8, -19, 0, -2, -11, 0, -4, 0, 0, 0, 9, 0, 8, 18, 0, 12, 14, 0, 6, 3, 0, 2, -6, 0, 5, -8, 0, 8, 4, 0, -19, 0, 0, 0, 31, 0, -34, -11, 0, 7, 18, 0, 0, 2, 0, -1, -40, 0, 6, -10, 0, -9, 9, 0, 20, 2, 0, 6, 8, 0, -18, -23, 0, -10, 0, 0, -13, -5, 0, -10, -32, 0, -30, 1, 0, 0, -6, 0, 0, -2, 0, 1, 18, 0, 45, -19, 0, -6, 24, 0, -28, 1, 0, 6, -4, 0, 8, 0, 0, -9, 54, 0, -10, 16, 0, -27, -16, 0, 0, 10, 0, 19, 6, 0, -5, 6, 0, 1, 14, 0, 10, -8, 0, -1, -2, 0, 0, 7, 0, 9, 0, 0, 32, -18, 0, 6, 3, 0, 4, 6, 0, 0, -12, 0, -7, 23, 0, 4, 5, 0, 2, 14, 0, -10, 18, 0, 29, 0, 0, 18, 8, 0, 29, 0, 0, -30, -8, 0, -4, 12, 0, 1, 8, 0, 0, -4, 0, -18, -12, 0, 26, 1, 0, 2, -26, 0, 12, -9, 0, 22, 27, 0, 4, -18, 0, -3, 0, 0, -8, -5, 0, 20, 36, 0, 18, 10, 0, 0, 38, 0, -16, -2, 0, 12, -26, 0, 45, 48, 0, 0, 0, 0, 14, -12, 0, -5, 22, 0, 14, 0, 0, 12, -10, 0, 12, -1, 0, 22, 12, 0, 0, 3, 0, 12, -6, 0, 1, -10, 0, 30, 0, 0, -22, 8, 0, 8, -54, 0, 28, -4, 0, -8, 0, 0, -10, -25, 0, 5, 36, 0, -23, -16, 0, 0, -72, 0, 7, 8, 0, 19, -3, 0, -30, 2, 0, 11, 38, 0, -8, 4, 0, 0, -22, 0, -1, 0, 0, -9, -1, 0, -7, -8, 0, -18, 2, 0, 0, -12, 0, -14, 3, 0, 0, -6, 0, -3, 33, 0, -10, -2, 0, 6, 27, 0, 20, -5, 0, 8, 0, 0, 8, -8, 0, -4, -54, 0, -6, 19, 0, 0, -28, 0, 32, 0, 0, -31, -2, 0, -19, 34, 0, 11, 15, 0, 10, -7, 0, -18, 24, 0, 36, 0, 0, -2, 18, 0, -34, 1, 0, 40, 20, 0, 0, -6, 0, 10, 36, 0, -20, 9, 0, -9, -36, 0, 39, -20, 0, -2, 16, 0, -9, -6, 0, -8, 0, 0, 34, 18, 0, 23, 47, 0, 19, 10, 0, 0, -39, 0, -32, 13, 0, 5, 24, 0, -36, 10, 0, 32, 38, 0, -45, 30, 0, -1, 9, 0, -24, 0, 0, 6, 7, 0, -21, 0, 0, 2, 0, 0, 0, -1, 0, -18, -36, 0, 6, -45, 0, 19, 9, 0, -36, 6, 0, -24, -25, 0, -8, 28, 0, -1, 0, 0, 1, -6, 0, 4, -28, 0, -4, -8, 0, 0, 14, 0, 26, 9, 0, -54, 16, 0, -43, 10, 0, -16, -42, 0, 18, 27, 0, 16, -18, 0, -34, 0, 0, -10, 48, 0, 0, -19, 0, -6, 72, 0, 0, 5, 0, -6, 22, 0, -52, -1, 0, -14, -4, 0, -12, -10, 0, 8, 36, 0, -45, 1, 0, 2, 0, 0, 2, 0, 0, -7, 23, 0, 13, -9, 0, 0, 20, 0, 40, -32, 0, 18, 11, 0, -16, -6, 0, -3, -20, 0, -23, -4, 0, -6, 30, 0, -12, 0, 0, 12, -9, 0, 52, 7, 0, -23, 46, 0, 0, -4, 0, -5, -3, 0, 0, -2, 0, -14, 7, 0, 40, 10, 0, -18, 11, 0, 20, -29, 0, 0, 0, 0, -24, -18, 0, -8, -12, 0, -18, -29, 0, 0, 46, 0, 22, 30, 0, 8, 12, 0, 12, 4, 0, -12, 72, 0, -2, -1, 0, -8, 0, 0, 20, 0, 0, 4, 38, 0, 46, 18, 0, 12, 9, 0, 0, -26, 0, -1, -10, 0, 31, -2, 0, 26, 0, 0, 3, -12, 0, 9, -48, 0, -48, -22, 0, -27, 0, 0, 14, -4, 0, 18, 27, 0, 9, 3, 0, 0, 24, 0, -72, 8, 0, 5, -21, 0, 54, -20, 0, -36, -16, 0, -31, -18, 0, -10, -20, 0, -13, 0, 0, -38, 12, 0, 19, 16, 0, 2, 2, 0, 0, -12, 0, 26, 24, 0, -2, -45, 0, -48, 5, 0, -28, 0, 0, 0, 16, 0, 8, -14, 0, 12, 0, 0, -15, 5, 0, -22, -32, 0, 14, -14, 0, 0, -4, 0, -18, -12, 0, 10, 40, 0, -13, -12, 0, 1, -9, 0, -42, -22, 0, -12, -30, 0, 4, 0, 0, -3, -10, 0, 54, -12, 0, 6, -2, 0, 0, -1, 0, 10, -14, 0, 4, -30, 0, 0, -46, 0, 8, 22, 0, -8, 54, 0, 3, -8, 0, 54, 0, 0, 4, -28, 0, 4, 27, 0, -5, 8, 0, 0, -12, 0, 9, 10, 0, 25, 0, 0, 10, -5, 0, -36, -42, 0, 9, 23, 0, 16, -9, 0, 11, 0, 0, 72, -27, 0, 60, -7, 0, -8, -40, 0, 0, -19, 0, 3, -24, 0, -8, 30, 0, -2, 24, 0, -42, -11, 0, -38, -6, 0, -24, 8, 0, -4, 0, 0, 36, 0, 0, 22, -20, 0, 10, 1, 0, 0, -2, 0, 0, 9, 0, 1, 56, 0, -13, 7, 0, 8, 12, 0, 16, 18, 0, -2, -12, 0, -44, 0, 0, 12, -6, 0, 42, 14, 0, -3, -9, 0, 0, 0, 0, 6, -18, 0, 23, 3, 0, -33, 64, 0, -81, 10, 0, 2, -52, 0, -40, -6, 0, -27, 0, 0, 12, -20, 0, 5, -20, 0, 0, -8, 0, 0, 10, 0, 2, -8, 0, 8, -57, 0, -4, 4, 0, 54, 6, 0, 6, 6, 0, -19, 29, 0, 20, 0, 0, 28, -96, 0, -38, -32, 0, 0, -60, 0, 0, 31, 0, 2, -45, 0, -6, 19, 0, -34, -1, 0, 10, -11, 0, -15, 9, 0, -114, -10, 0, 7, 0, 0, 19, 18, 0, -24, 0, 0, 32, -36, 0, 0, 68, 0, 20, 2, 0, -18, 26, 0, -44, 34, 0, -1, -45, 0, -10, -40, 0, -20, -6, 0, 12, 0, 0, 6, 42, 0, -50, -10, 0, -36, -9, 0, 0, 20, 0, -9, -42, 0, -60, 9, 0, 36, -24, 0, -10, -39, 0, 20, 4, 0, 8, 2, 0, -16, 0, 0, 0, 9, 0, 6, 27, 0, -36, 8, 0, 0, -35, 0, 16, -34, 0, -18, 0, 0, -10, -23, 0, -47, 50, 0, 3, -19, 0, -10, 2, 0, -81, 0, 0, 39, -8, 0, -28, 32, 0, -13, -14, 0, 0, -5, 0, -24, -1, 0, -4, 36, 0, -10, -16, 0, 96, -32, 0, -38, -84, 0, 8, 45, 0, -30, 0, 0, -31, 1, 0, -9, 2, 0, -22, 24, 0, 0, 4, 0, -10, -6, 0, -7, -8, 0, -108, 21, 0, 0, 54, 0, -20, -2, 0, 0, -38, 0, -18, 0, 0, 1, 46, 0, 18, 18, 0, 36, -36, 0, 0, -6, 0, 45, 16, 0, 17, -19, 0, -9, -72, 0, -46, 36, 0, -6, 0, 0, -31, 24, 0, 25, 0, 0, 28, 8, 0, -28, 24, 0, 55, 1, 0, 0, -3, 0, -23, -1, 0, 6, -58, 0, -10, -4, 0, 28, -30, 0, -1, 4, 0, 8, 33, 0, -12, 0, 0, -14, 36, 0, 56, -26, 0, -9, 10, 0, 0, 54, 0, -16, 64, 0, 10, 43, 0, -10, -27, 0, 0, 16, 0, 42, 15, 0, -2, -18, 0, -27, 0, 0, 19, -16, 0, 18, -38, 0, 36, 34, 0, 0, 4, 0, -44, 10, 0, -48, 30, 0, -46, 0, 0, 19, -14, 0, 62, 6, 0, -72, 28, 0, -12, 0, 0, -5, -68, 0, 72, 6, 0, -22, -17, 0, 0, 52, 0, 1, 16, 0, 31, 14, 0, 4, -14, 0, 36, 12, 0, 10, 18, 0, -15, -8, 0, -36, 0, 0, -34, 45, 0, -1, -18, 0, -1, -2, 0, 0, -65, 0, 57, -2, 0, 0, -35, 0, -80, 7, 0, -23, -48, 0, -7, -13, 0, 9, 72, 0, 17, 0, 0, -20, -22, 0, 0, -40, 0, 32, -54, 0, 0, -18, 0, -11, 0, 0, 18, 16, 0, 6, -95, 0, -72, 3, 0, 20, 40, 0, 30, 23, 0, 4, 0, 0, 71, 6, 0, -30, -6, 0, 78, 12, 0, 0, -20, 0, -4, -12, 0, 9, 12, 0, 40, -52, 0, -7, -36, 0, -10, 23, 0, -46, -16, 0, -54, 0, 0, 4, -42, 0, 62, 5, 0, 3, 60, 0, 0, 0, 0, 2, 58, 0, -27, 14, 0, -7, -26, 0, -35, -40, 0, -10, -6, 0, 9, 18, 0, -11, 0, 0, -48, -20, 0, 29, -41, 0, -64, 0, 0, 0, -27, 0, 2, 24, 0, 18, -60, 0, -6, 8, 0, 12, -30, 0, -77, 18, 0, 29, 5, 0, -4, 0, 0, -46, 45, 0, -12, -22, 0, -30, -18, 0, 0, -8, 0, -12, 0, 0, -4, -12, 0, -4, 96, 0, -34, 12, 0, -72, 61, 0, -38, 2, 0, 1, 0, 0, 36, 8, 0, 0, -22, 0, -22, -20, 0, 0, 90, 0, -114, -4, 0, -38, 58, 0, 18, -46, 0, -18, 7, 0, -70, -12, 0, -9, -60, 0, -12, 0, 0, 26, 0, 0, -8, 1, 0, 10, -56, 0, 0, -31, 0, 2, -30, 0, 152, -26, 0, 0, 60, 0, -18, -3, 0, 12, -90, 0, -8, -9, 0, 48, 0, 0, 34, 48, 0, 22, 16, 0, 27, 27, 0, 0, 57, 0, 19, -14, 0, 4, -57, 0, 66, -18, 0, -27, 8, 0, 108, -9, 0, -3, 50, 0, 0, 0, 0, -24, -20, 0, 25, 72, 0, -8, -52, 0, 0, -5, 0, 21, 15, 0, 2, -54, 0, 20, 45, 0, -32, 36, 0, 16, 56, 0, 20, 31, 0, 18, 0, 0, 81, 10, 0, 20, 36, 0, -10, 13, 0, 0, 12, 0, -8, 38, 0, -12, -36, 0, 12, -19, 0, -16, -74, 0, -68, -2, 0, -2, -10, 0, 48, 0, 0, 12, 12, 0, -48, -26, 0, -24, -11, 0, 0, 2, 0, 45, 74, 0, -7, 48, 0, -5, 12, 0, -4, 28, 0, 0, 20, 0, 19, 0, 0, -16, 0, 0, -68, -8, 0, 14, -43, 0, -40, -12, 0, 0, -24, 0, -4, 15, 0, -5, -54, 0, -32, 22, 0, 32, 0, 0, -3, -14, 0, 14, 45, 0, 8, 0, 0, 4, 60, 0, -34, 18, 0, 12, 112, 0, 0, -10, 0, -40, 39, 0, -66, 13, 0, 12, 64, 0, -2, -1, 0, 9, 14, 0, -74, 42, 0, 22, 0, 0, 0, 12, 0, 30, -84, 0, 6, -4, 0, 0, -54, 0, 144, 3, 0, 10, -2, 0, 0, -54, 0, 12, 45, 0, -12, -6, 0, 2, 38, 0, 20, 0, 0, 1, -6, 0, -24, -10, 0, 14, -61, 0, 0, -4, 0, 30, -14, 0, -30, 0, 0, 46, -38, 0, 39, -8, 0, -22, -108, 0, -60, 8, 0, -54, 0, 0, 60, -3, 0, 8, 75, 0, -87, -54, 0, 0, 4, 0, 13, -4, 0, 28, -7, 0, 16, -4, 0, -27, -32, 0, -19, 5, 0, -8, -31, 0, 36, 0, 0, 12, -60, 0, -43, -9, 0, -10, 58, 0, 0, -25, 0, 0, 36, 0, -36, -10, 0, 5, 31, 0, -36, 36, 0, 42, -9, 0, 16, -9, 0, -23, 0, 0, -34, -16, 0, 9, 58, 0, -60, -11, 0, 0, 0, 0, -34, -72, 0, 27, 42, 0, 34, -60, 0, 7, -37, 0, -16, 8, 0, 40, 18, 0, 6, 0, 0, 19, 2, 0, 50, -3, 0, 24, 19, 0, 0, 8, 0, -30, 6, 0, -77, 2, 0, -24, 4, 0, 16, 42, 0, 11, -60, 0, 36, 38, 0, 6, 0, 0, -6, 24, 0, -8, -40, 0, 0, 4, 0, 0, -84, 0, -33, -36, 0, 0, 37, 0, 6, -22, 0, 20, -20, 0, -39, -10, 0, -1, 52, 0, 56, 0, 0, 2, -63, 0, 19, 0, 0, -9, 48, 0, 0, -1, 0, -56, -54, 0, -52, 13, 0, -7, 53, 0, 58, -8, 0, -12, 24, 0, 20, -16, 0, -18, 0, 0, 7, 2, 0, 12, 6, 0, 80, 44, 0, 0, 42, 0, 54, -12, 0, 6, 44, 0, -41, -42, 0, -14, 8, 0, 8, 3, 0, 9, -38, 0, -114, 0, 0, 0, -14, 0, -18, -6, 0, 18, -95, 0, 0, -23, 0, -3, 6, 0, -65, 33, 0, -64, -96, 0, 41, 81, 0, -10, 24, 0, -9, -2, 0, 52, 0, 0, -84, 40, 0, 6, 38, 0, 72, 27, 0, 0, -40, 0, 29, -12, 0, 20, 36, 0, -18, -5, 0, 20, 88, 0, 96, 0, 0, 8, -33, 0, 27, 0, 0, -10, -32, 0, -19, -2, 0, 8, -32, 0, 0, -8, 0, 57, -32, 0, 34, 4, 0, -4, 74, 0, -30, -54, 0, -6, 19, 0, 0, -6, 0, -6, 0, 0, -52, 19, 0, -29, -20, 0, 14, -20, 0, 0, 90, 0, -46, -28, 0, 96, -6, 0, -43, 38, 0, 32, 73, 0, -12, 0, 0, 60, -162, 0, 0, 0, 0, -31, -80, 0, -36, -2, 0, 45, 28, 0, 0, 6, 0, -19, 18, 0, 81, 34, 0, 1, 18, 0, 60, -10, 0, 11, 18, 0, 44, 15, 0, -9, 0, 0, 52, 114, 0, 10, -7, 0, 45, -7, 0, 0, -39, 0, 10, -19, 0, -18, 15, 0, 60, 24, 0, 0, 30, 0, -20, -32, 0, 36, 3, 0, 36, 0, 0, -68, 24, 0, 38, -20, 0, -2, 6, 0, 0, 18, 0, -26, -40, 0, -28, 44, 0, -34, 0, 0, -6, 1, 0, 45, 11, 0, 18, 10, 0, 40, 0, 0, -48, 20, 0, 6, -16, 0, -86, -12, 0, 0, 24, 0, -4, -6, 0, -42, -128, 0, -12, 50, 0, 10, -49, 0, 8, 36, 0, 9, 2, 0, -68, 0, 0, -20, -4, 0, 10, 9, 0, 42, 0, 0, 0, 60, 0, -9, -30, 0, 0, -36, 0, 24, 54, 0, 152, 10, 0, 39, -44, 0, 88, -20, 0, -4, 0, 0, -10, -8, 0, -2, 67, 0, 79, 16, 0, 0, -9, 0, -108, 0, 0, -9, -55, 0, 82, -6, 0, -27, -14, 0, 46, 36, 0, -8, -16, 0, 36, 0, 0, 35, 3, 0, 22, -16, 0, 34, 0, 0, 0, 18, 0, 0, 91, 0, -36, 10, 0, 23, -20, 0, -24, 47, 0, -50, -28, 0, 46, -3, 0, 19, 0, 0, 21, 10, 0, -2, 6, 0, -18, 81, 0, 0, 70, 0, 48, -39, 0, 8, -46, 0, -5, 28, 0, -32, -78, 0, 138, 13, 0, 14, 36, 0, 44, 0, 0, 5, -30, 0, -144, 24, 0, 1, 0, 0, 0, 4, 0, -36, 14, 0, 5, 10, 0, 16, -50, 0, 27, -96, 0, 32, 4, 0, 10, 38, 0, 84, 0, 0, -6, -8, 0, -45, 65, 0, -47, 30, 0, 0, -60, 0, 86, 31, 0, -1, -87, 0, 16, 9, 0, -2, -2, 0, -37, 22, 0, -24, -171, 0, 76, 0, 0, -4, -29, 0, 0, 10, 0, 6, 4, 0, 0, 7, 0, 8, -16, 0, -14, 108, 0, -21, 77, 0, 30, 0, 0, -54, 84, 0, -44, 20, 0, 2, 0, 0, -9, 0, 0, 38, -2, 0, -46, 18, 0, 0, -52, 0, 32, -1, 0, -46, 18, 0, 64, -18, 0, -18, -115, 0, -12, -36, 0, 36, -62, 0, 20, 0, 0, 6, -14, 0, -32, -45, 0, -16, -18, 0, 0, -17, 0, 19, 14, 0, 72, 9, 0, 72, 54, 0, 4, 46, 0, -36, 96, 0, 0, 6, 0, 0, 0, 0, -42, 31, 0, -24, 12, 0, -21, -25, 0, 0, -55, 0, -63, -28, 0, -8, -12, 0, 6, 28, 0, -24, 42, 0, -50, -55, 0, -1, 0, 0, -7, 0, 0, 3, -108, 0, -73, 23, 0, 1, -12, 0, 0, -6, 0, 58, -51, 0, 66, 10, 0, 4, -11, 0, 16, -28, 0, 30, 5, 0, 6, 1, 0, -4, 0, 0, 88, -8, 0, -33, -54, 0, -12, 12, 0, 0, 108, 0, 54, 14, 0, -36, 18, 0]}