# Stored data for newform 3366.2.a.f, downloaded from the LMFDB on 30 October 2025. {"Nk2": 13464, "analytic_conductor": 26.877645320362976, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [11, 1], [17, -1]], "atkin_lehner_string": "+-+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [3366, 1, [749, 1531, 2179], [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": [[5, [0, 1]], [7, [-2, 1]], [13, [4, 1]], [19, [-8, 1]], [23, [6, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22517998170410278, "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": "3366.2.a.f", "level": 3366, "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, 17], "level_radical": 1122, "minimal_twist": "1122.2.a.j", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{4}+2q^{7}-q^{8}-q^{11}-4q^{13}+\\cdots", "related_objects": ["EllipticCurve/Q/3366/f"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3366.2.a", "trace_display": [-1, 0, 0, 2], "trace_hash": 1366193475497050641, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.016", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.019", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.021", "prec": 17}, "traces": [0, 1, -1, 0, 1, 0, 0, 2, -1, 0, 0, -1, 0, -4, -2, 0, 1, 1, 0, 8, 0, 0, 1, -6, 0, -5, 4, 0, 2, -6, 0, -4, -1, 0, -1, 0, 0, 2, -8, 0, 0, 6, 0, -4, -1, 0, 6, -6, 0, -3, 5, 0, -4, 12, 0, 0, -2, 0, 6, 0, 0, -4, 4, 0, 1, 0, 0, -4, 1, 0, 0, -6, 0, 2, -2, 0, 8, -2, 0, -10, 0, 0, -6, -12, 0, 0, 4, 0, 1, -18, 0, -8, -6, 0, 6, 0, 0, 14, 3, 0, -5, 6, 0, -4, 4, 0, -12, 12, 0, -16, 0, 0, 2, 6, 0, 0, -6, 0, 0, 2, 0, 1, 4, 0, -4, 0, 0, 2, -1, 0, 0, 12, 0, 16, 4, 0, -1, 18, 0, -16, 0, 0, 6, 4, 0, 0, -2, 0, 2, -6, 0, -22, -8, 0, 2, 0, 0, 2, 10, 0, 0, -12, 0, 20, 6, 0, 12, 0, 0, 3, 0, 0, -4, -6, 0, -10, -1, 0, 18, 0, 0, -10, 8, 0, 6, 0, 0, -1, -6, 0, 0, 18, 0, -10, -14, 0, -3, -6, 0, -16, 5, 0, -6, -12, 0, 0, 4, 0, -4, -8, 0, 20, 12, 0, -12, 0, 0, -8, 16, 0, 0, -4, 0, 8, -2, 0, -6, -12, 0, -22, 0, 0, 6, 6, 0, 0, 0, 0, -2, 12, 0, -10, -1, 0, -4, 0, 0, -32, 4, 0, 0, -24, 0, 6, -2, 0, 1, -18, 0, 4, 0, 0, -12, -24, 0, 0, -16, 0, -4, 0, 0, 14, 1, 0, -18, 5, 0, -28, 16, 0, 0, -6, 0, -4, -6, 0, -4, 12, 0, 1, 0, 0, 2, -30, 0, 0, -2, 0, 6, 24, 0, -8, 22, 0, 8, 0, 0, -16, -2, 0, 0, 18, 0, 2, -2, 0, -10, -12, 0, 6, 0, 0, 12, 8, 0, 20, -20, 0, -6, -12, 0, 20, -12, 0, 0, 0, 0, -22, -3, 0, 0, 4, 0, -20, 4, 0, 6, 12, 0, -28, 10, 0, 1, -18, 0, 0, -18, 0, 0, -12, 0, 45, 10, 0, -8, 0, 0, -4, -6, 0, 0, 24, 0, -4, 1, 0, 6, 24, 0, -4, 0, 0, -18, 30, 0, 0, 10, 0, 14, -36, 0, -6, 3, 0, 6, 0, 0, 38, 16, 0, -5, 18, 0, 16, 6, 0, 12, -2, 0, 14, 0, 0, -4, 0, 0, 0, 4, 0, 8, -24, 0, 38, -20, 0, -12, -5, 0, -8, 12, 0, 0, -12, 0, 26, 8, 0, -16, -48, 0, 14, 0, 0, 4, 24, 0, 0, -8, 0, 2, -30, 0, -6, 6, 0, 12, 0, 0, -10, 22, 0, 0, -6, 0, -4, -6, 0, -6, -12, 0, -8, 0, 0, 0, 4, 0, -40, 2, 0, -12, 36, 0, -8, 10, 0, 1, 0, 0, -16, 4, 0, 0, -12, 0, -6, 32, 0, -4, -12, 0, 20, 0, 0, 24, 0, 0, 0, -6, 0, 2, -36, 0, 4, -1, 0, 18, 0, 0, 6, -4, 0, 0, -30, 0, 20, 12, 0, 24, -4, 0, 13, 0, 0, 16, -24, 0, 0, 4, 0, 0, 3, 0, -16, -14, 0, -1, 0, 0, 32, 18, 0, -5, -48, 0, -20, 28, 0, -16, 18, 0, 16, 0, 0, 6, -36, 0, 0, 4, 0, 6, -6, 0, -16, 4, 0, -12, 30, 0, 14, -1, 0, 0, -24, 0, -12, -2, 0, 30, -24, 0, -32, 0, 0, 2, 18, 0, 0, -6, 0, -24, 30, 0, 2, 8, 0, -22, 0, 0, 38, -8, 0, 0, 24, 0, -16, 16, 0, 2, 30, 0, -28, 0, 0, -18, -36, 0, 25, -2, 0, 2, 2, 0, 8, 10, 0, 12, 0, 0, 12, -6, 0, 0, -6, 0, -28, -12, 0, -8, 30, 0, 0, -20, 0, 20, -12, 0, 0, 6, 0, 12, 12, 0, 50, -20, 0, 12, 0, 0, 36, 0, 0, 0, 4, 0, 38, 22, 0, 3, 18, 0, 28, 0, 0, -4, -24, 0, 0, 20, 0, -4, -48, 0, -28, -6, 0, -12, 0, 0, 6, 28, 0, -10, 42, 0, 16, -1, 0, 18, 12, 0, -10, 0, 0, 18, 24, 0, 0, 0, 0, 12, 18, 0, -8, -45, 0, -10, 30, 0, 44, 8, 0, 0, -4, 0, 44, 4, 0, 6, 4, 0, 44, 0, 0, -24, 24, 0, 0, 4, 0, -1, 24, 0, 20, -6, 0, -24, 0, 0, 38, 4, 0, 0, -6, 0, -32, 18, 0, -30, 0, 0, 14, 0, 0, -10, -12, 0, 20, -14, 0, 36, 48, 0, 6, 6, 0, -3, 0, 0, 20, -6, 0, 0, 12, 0, 16, -38, 0, -16, -12, 0, -6, 5, 0, -18, -2, 0, 0, -16, 0, -6, 30, 0, -28, -12, 0, 2, 0, 0, -32, -14, 0, 0, -30, 0, 44, 4, 0, 0, 36, 0, 14, 0, 0, -4, -3, 0, 0, -8, 0, 24, 30, 0, 7, -38, 0, 20, 0, 0, 2, 12, 0, 5, -12, 0, -28, 8, 0, -12, 30, 0, -4, 0, 0, 12, -6, 0, 0, -26, 0, -8, 10, 0, 16, 16, 0, 48, 0, 0, -40, -14, 0, 0, 30, 0, 20, -4, 0, -24, 24, 0, 4, 0, 0, 8, -48, 0, 0, -2, 0, 30, 24, 0, 12, 6, 0, -6, 0, 0, 20, -12, 0, 0, -6, 0, 12, 10, 0, -22, 24, 0, -34, 0, 0, 6, 24, 0, -10, 4, 0, 6, -54, 0, -24, 6, 0, 12, 0, 0, -46, 8, 0, 0, -30, 0, -36, 0, 0, -4, -60, 0, -8, 40, 0, -2, -42, 0, 0, 12, 0, -36, 36, 0, -15, 8, 0, -10, 0, 0, -22, -1, 0, 0, 0, 0, -32, 16, 0, -4, 42, 0, 18, 0, 0, 12, 42, 0, 0, 6, 0, -32, 24, 0, 20, 4, 0, 12, 0, 0, 32, -20, 0, 0, 8, 0, 0, -24, 0, 0, 96, 0, -10, 0, 0, 6, 12, 0, 0, -2, 0, 36, 12, 0, 2, -4, 0, 1, -30, 0, 40, -18, 0, 0, 0, 0, 50, -6, 0, 4, -4, 0, -40, 0, 0, 30, -12, 0, 0, -20, 0, -12, 54, 0, 56, -24, 0, 4, 0, 0, -44, -13, 0, 0, 36, 0, -34, -16, 0, 24, -14, 0, -52, 0, 0, -4, -12, 0, 20, 0, 0, -3, 48, 0, 36, 16, 0, 14, 0, 0, 8, 1, 0, 0, -36, 0, -22, -32, 0, -18, -42, 0, 4, 5, 0, 48, 6, 0, 0, 20, 0, -28, 48, 0, -6, 16, 0, -18, 0, 0, -28, -16, 0, 0, 0, 0, 44, -6, 0, 36, 18, 0, -58, 0, 0, -4, 4, 0, 0, -6, 0, 6, -4, 0, 40, 16, 0, -4, 0, 0, -8, 12, 0, -30, 36, 0, 14, -14, 0, 1, 72, 0, -32, 0, 0, 24, -60, 0, 0, 12, 0, 2, 0, 0, -52, -30, 0, 24, 30, 0, -12, 32, 0, 0, -36, 0, 6, -2, 0, -18, 60, 0, -36, 0, 0, 6, 30, 0, 0, 24, 0, -30, 16, 0, -22, -2, 0, -8, 0, 0, -6, 22, 0, 0, -12, 0, -10, -38, 0, 8, 30, 0, -72, 0, 0, -24, -24, 0, 15, 16, 0, -16, 6, 0, 26, -2, 0, -30, 0, 0, 2, 28, 0, 0, 2, 0, -6, 18, 0, 36, 24, 0, 26, -25, 0, 2, 0, 0, 0, -2, 0, -2, -24, 0, -56, -8, 0, -10, 0, 0, -20, -12, 0, 0, -24, 0, -32, -12, 0, 6, 0, 0, -4, 0, 0, 6, -36, 0, 0, 28, 0, 12, -6, 0, -28, 8, 0, -30, 0, 0, 38, 0, 0, 20, 24, 0, 44, -20, 0, 12, -12, 0, -2, 0, 0, -6, -24, 0, 0, -12, 0, -12, 0, 0, 38, -50, 0, 20, -60, 0, -70, -12, 0, 0, -1, 0, 16, -36, 0, 0, 36, 0, 16, 0, 0, -4, -10, 0, 0, -38, 0, -22, -48, 0, -20, -3, 0, -18, 0, 0, 0, -28, 0, 0, -30, 0, 36, 4, 0, 24, 18, 0, -33, 0, 0, -20, -24, 0, 0, 4, 0, 48, -12, 0, -64, 28, 0, 6, 0, 0, 16, 12, 0, 0, -48, 0, -32, -6, 0, -28, -2, 0, 14, 10, 0, -42, 24, 0, 0, -16, 0, 1, -30, 0, -12, -18, 0, -12, 0, 0, 64, 10, 0, 0, 18, 0, -4, -18, 0, -24, 12, 0, -28, 0, 0, 0, 30, 0, 0, -12, 0, -18, 54, 0, -12, 8, 0, 45, 0, 0, -22, 10, 0, -30, 12, 0, -10, -44, 0, -8, 24, 0, 20, 0, 0, 4, -16, 0, 0, -44, 0, -4, -24, 0, 38, -6, 0, -4, 0, 0, 40, -44, 0, 0, -30, 0, 68, 24, 0, -24, 24, 0, -22, 0, 0, -4, -18, 0, 0, 1, 0, -24, -24, 0, -80, -20, 0, 6, 0, 0, -18, 24, 0, 0, 18, 0, -18, -38, 0, -4, 12, 0, 12, 0, 0, 6, -12, 0, 20, 32, 0, -18, 16, 0, -4, 30, 0, 0, 0, 0, -72, -14, 0, 0, 24, 0, 32, 10, 0, 12, -8, 0, 74, -20, 0, 14, -6, 0, 0, -36, 0, -48, 0, 0, 16, -6, 0, -6, 0, 0, -16, 3, 0, 0, 36, 0, -4, -20, 0, 6, -96, 0, -16, 0, 0, -12, -12, 0, 0, -16, 0, 38, -24, 0, -8, 16, 0, 12, 0, 0, 8, 6, 0, -5, -18, 0, -44, 18, 0, 2, -6, 0, 62, 0, 0, 16, 42, 0, 0, 6, 0, -30, 12, 0, -22, 28, 0, 12, 0, 0, 68, -2, 0, 0, 12, 0, 36, 32, 0, 14, -36, 0, 6, 0, 0, 30, -48, 0, 0, -44, 0, -4, 14, 0, -8, 0, 0, -36, 0, 0, -34, -14, 0, 0, 22, 0, -46, 4, 0, 3, -12, 0, -40, 0, 0, 8, 24, 0, 20, -24, 0, -30, -12, 0, -5, -7, 0, 38, 0, 0, -20, -20, 0, 0, -144, 0, 56, -2, 0, -12, 42, 0, 44, -5, 0, 12, -48, 0, 0, 28, 0, -8, 0, 0, 0, 12, 0, -30, 0, 0, 6, 4, 0, 0, -18, 0, 32, -12, 0, 6, -2, 0, -64, 0, 0, 26, -18, 0, 0, 8, 0, -10, -12, 0, -58, -16, 0, -16, 0, 0, 20, -48, 0, 0, -4, 0, 14, 40, 0, 14, -48, 0, -70, 0, 0, -30, -24, 0, 0, -20, 0, 4, 24, 0, 12, 24, 0, -24, 30, 0, -22, -4, 0, 0, -72, 0, 20, -8, 0, 48, -36, 0, -40, 0, 0, 2, -20, 0, 0, -30, 0, -24, -36, 0, 26, -12, 0, -6, 0, 0, 64, 6, 0, 0, -60, 0, -6, -20, 0, 12, 60, 0, 12, 0, 0, 6, -24, 0, -10, -12, 0, -10, 0, 0, 32, 22, 0, -24, 0, 0, 0, 34, 0, 0, -48, 0, 112, -6, 0, -24, -72, 0, -27, 10, 0, -4, -16, 0, 0, -6, 0, 54, -3, 0, -4, 24, 0, -6, 0, 0, 32, -12, 0, 0, 54, 0, -34, 46, 0, -8, -30, 0, 44, 0, 0, 30, 0, 0, 0, 36, 0, 0, 66, 0, 16, 4, 0, 60, 0, 0, 28, 8, 0, -40, 0, 0, 6, 2, 0, 42, 0, 0, 72, 0, 0, -12, -54, 0, 0, 36, 0, -36, 48, 0, 6, 15, 0, -8, 10, 0, -36, 10, 0, 0, -36, 0, -64, 22, 0, 1, 24, 0, -56, 0, 0, 0, 24, 0, 0, 32, 0, -16, 6, 0, -28, 4, 0, -42, 0, 0, -32, -18, 0, 0, 24, 0, 88, -12, 0, -42, -12, 0, 0, 0, 0, -6, -12, 0, 50, 32, 0, -24, 60, 0, -8, -20, 0, -4, 0, 0, 20, -12, 0, 0, 10, 0, 14, -32, 0, 20, 42, 0, 50, 0, 0, -8, 36, 0, 0, 0, 0, 24, -18, 0, -28, 0, 0, -96, 0, 0, 2, 10, 0, 0, 24, 0, 2, -6, 0, -12, 60, 0, 74, 0, 0, 2, 96, 0, 0, -36, 0, -12, -78, 0, -8, -2, 0, 4, 0, 0, 108, -1, 0, 30, -60, 0, -4, -40, 0, 18, 1, 0, 36, 0, 0, 0, -48, 0, 0, -50, 0, 6, 36, 0, -128, -4, 0, 4, 60, 0, 16, 40, 0, 0, -18, 0, -76, -30, 0, 12, 24, 0, 2, 0, 0, 20, 48, 0, 0, 12, 0, -54, 60, 0, -18, -56, 0, 24, 0, 0, 12, -4, 0, 0, 12, 0, -46, 44, 0, 13, -12, 0, -80, 0, 0, -36, 10, 0, 0, 34, 0, 16, 30, 0, 80, -24, 0, 14, 0, 0, -58, 52, 0, 0, -54, 0, -76, 4, 0, 12, 48, 0, -32, -20, 0, 0, -54, 0, 0, 3, 0, -48, 2, 0, -34, -36, 0, -16, 0, 0, 6, -14, 0, 0, 0, 0, 72, -8, 0, -1, 36, 0, -52, 0, 0, 36, 0, 0, 0, 22, 0, 32, 16, 0, 4, 18, 0, 42, 0, 0, 40, -4, 0, -5, 24, 0, 44, -48, 0, -6, 24, 0, -11, 0, 0, -20, -78, 0, 0, 28, 0, -48, -24, 0, -28, 6, 0, -16, 90, 0, 12, 18, 0, 0, -84, 0, 12, 28, 0, 16, 0, 0, 26, 0, 0, 0, -60, 0, 0, -44, 0, 6, 24, 0, -52, -36, 0, -18, 0, 0, -8, 58, 0, 0, 16, 0, -8, 4, 0, -4, 12, 0, -70, 0, 0, 6, 90, 0, 40, -6, 0, 4, -48, 0, -22, -40, 0, -16, 0, 0, -70, 4, 0, 0, 60, 0, 26, 8, 0, -12, -78, 0, 8, 30, 0, -36, 18, 0, 0, -14, 0, 14, 54, 0, -64, -1, 0, -72, 0, 0, 40, 32, 0, 0, -20, 0, -36, -24, 0, 60, 0, 0, 18, 0, 0, -12, -12, 0, 0, -2, 0, 0, -36, 0, -34, 52, 0, 30, 0, 0, -28, -24, 0, -30, 0, 0, 40, 12, 0, -32, -48, 0, -44, 0, 0, 36, -16, 0, 0, -6, 0, 2, 24, 0, -76, 18, 0, -60, 0, 0, -22, 36, 0, 0, 60, 0, -10, -6, 0, -30, 8, 0, -40, 0, 0, -24, 6, 0, 0, 30, 0, -16, 6, 0, -19, 22, 0, 2, 0, 0, 72, 8, 0, 0, 60, 0, 16, 6, 0, -22, 6, 0, 0, 0, 0, 12, -6, 0, -70, 10, 0, 38, 24, 0, 4, -8, 0, -30, 0, 0, -28, 72, 0, 0, -30, 0, -56, 24, 0, 24, 54, 0, 40, -15, 0, -16, -8, 0, 0, 16, 0, -6, 84, 0, -72, -26, 0, 2, 0, 0, 92, 30, 0, 0, -36, 0, 26, -2, 0, -28, 54, 0, -8, 0, 0, -2, -72, 0, 0, 6, 0, -18, 96, 0, -72, -36, 0, -24, 0, 0, 12, -26, 0, 25, -24, 0, 74, -2, 0, 0, 96, 0, 40, 0, 0, 2, -24, 0, 0, 2, 0, 24, 22, 0, 62, 56, 0, 8, -30, 0, 90, 10, 0, 0, -24, 0, -6, 20, 0, 12, 0, 0, 20, 0, 0, 24, -36, 0, 0, 32, 0, 12, 30, 0, -22, -6, 0, 0, 0, 0, -22, 4, 0, 0, 24, 0, -6, -6, 0, 36, -22, 0, -8, 0, 0, -28, 48, 0, 20, -12, 0, 6, -60, 0, 108, 28, 0, -8, 0, 0, 64, 30, 0, 0, -72, 0, -46, -38, 0, 0, -36, 0, -36, -20, 0, -24, 144, 0, 0, -44, 0, 20, -18, 0, -8, -12, 0, 12, 0, 0, 14, 2, 0, 0, -96, 0, 16, 6, 0, 24, -12, 0, -12, 0, 0, 12, -6, 0, 0, 12, 0, 0, 48, 0, -128, -38, 0, 50, 0, 0, -58, -20, 0, 60, 10, 0, -8, 70, 0, 12, 66, 0, -52, 0, 0, 1, -42, 0, 0, -16, 0, 36, 2, 0, -64, 0, 0, -36, -60, 0, 38, -16, 0, 0, 60, 0, 20, 4, 0, 10, -30, 0, 14, 0, 0, 38, -84, 0, 0, 22, 0, 48, 48, 0, 4, 20, 0, 3, 0, 0, -28, 18, 0, 0, -6, 0, 38, 0, 0, 28, 32, 0, -34, 0, 0, 30, -72, 0, 80, -36, 0, -4, -30, 0, -4, -24, 0, -18, 0, 0, -12, 33, 0, 0, 30, 0, -80, 20, 0, 24, -24, 0, 92, 0, 0, -4, -102, 0, 0, -48, 0, 12, 72, 0, 24, 64, 0, -28, 0, 0, 86, -6, 0, 0, 20, 0, 0, -16, 0, -12, -6, 0, 76, 0, 0, 48, -6, 0, 0, 32, 0, 6, -54, 0, -22, 28, 0, 2, 0, 0, -58, -14, 0, -10, 102, 0, 68, 42, 0, -24, 36, 0, 91, 0, 0, 16, -84, 0, 0, -1, 0, 30, 60, 0, 32, 12, 0, 18, -30, 0, 18, 12, 0, 0, -48, 0, 98, -64, 0, -10, -78, 0, 0, 0, 0, -18, 36, 0, 0, 4, 0, 18, -4, 0, 80, 24, 0, -12, 0, 0, 2, 28, 0, 0, 12, 0, 28, 0, 0, -30, 24, 0, -176, 0, 0, 12, 3, 0, 0, 18, 0, -54, 0, 0, 16, 12, 0, -8, 0, 0, 32, -45, 0, 0, 0, 0, 24, 22, 0, -10, 66, 0, -32, 30, 0, -12, 12, 0, 0, 10, 0, 44, -72, 0, -36, 8, 0, -24, 0, 0, 92, -20, 0, 0, -12, 0, -20, -4, 0, 16, -54, 0, -36, 0, 0, 44, -48, 0, 0, 4, 0, 24, -84, 0, -6, -38, 0, 6, 0, 0, 76, 4, 0, 0, 48, 0, -10, -40, 0, 44, 12, 0, 0, 0, 0, 30, 60, 0, 0, -68, 0, -24, -90, 0, 44, 24, 0, -24, -10, 0, 88, 22, 0, 0, -14, 0, 16, 4, 0, 18, 24, 0, 12, 0, 0, -1, 12, 0, 0, 24, 0, 24, 12, 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, 0, 0, 2, -1, 0, 0, -1, 0, -4, -2, 0, 1, 1, 0, 8, 0, 0, 1, -6, 0, -5, 4, 0, 2, -6, 0, -4, -1, 0, -1, 0, 0, 2, -8, 0, 0, 6, 0, -4, -1, 0, 6, -6, 0, -3, 5, 0, -4, 12, 0, 0, -2, 0, 6, 0, 0, -4, 4, 0, 1, 0, 0, -4, 1, 0, 0, -6, 0, 2, -2, 0, 8, -2, 0, -10, 0, 0, -6, -12, 0, 0, 4, 0, 1, -18, 0, -8, -6, 0, 6, 0, 0, 14, 3, 0, -5, 6, 0, -4, 4, 0, -12, 12, 0, -16, 0, 0, 2, 6, 0, 0, -6, 0, 0, 2, 0, 1, 4, 0, -4, 0, 0, 2, -1, 0, 0, 12, 0, 16, 4, 0, -1, 18, 0, -16, 0, 0, 6, 4, 0, 0, -2, 0, 2, -6, 0, -22, -8, 0, 2, 0, 0, 2, 10, 0, 0, -12, 0, 20, 6, 0, 12, 0, 0, 3, 0, 0, -4, -6, 0, -10, -1, 0, 18, 0, 0, -10, 8, 0, 6, 0, 0, -1, -6, 0, 0, 18, 0, -10, -14, 0, -3, -6, 0, -16, 5, 0, -6, -12, 0, 0, 4, 0, -4, -8, 0, 20, 12, 0, -12, 0, 0, -8, 16, 0, 0, -4, 0, 8, -2, 0, -6, -12, 0, -22, 0, 0, 6, 6, 0, 0, 0, 0, -2, 12, 0, -10, -1, 0, -4, 0, 0, -32, 4, 0, 0, -24, 0, 6, -2, 0, 1, -18, 0, 4, 0, 0, -12, -24, 0, 0, -16, 0, -4, 0, 0, 14, 1, 0, -18, 5, 0, -28, 16, 0, 0, -6, 0, -4, -6, 0, -4, 12, 0, 1, 0, 0, 2, -30, 0, 0, -2, 0, 6, 24, 0, -8, 22, 0, 8, 0, 0, -16, -2, 0, 0, 18, 0, 2, -2, 0, -10, -12, 0, 6, 0, 0, 12, 8, 0, 20, -20, 0, -6, -12, 0, 20, -12, 0, 0, 0, 0, -22, -3, 0, 0, 4, 0, -20, 4, 0, 6, 12, 0, -28, 10, 0, 1, -18, 0, 0, -18, 0, 0, -12, 0, 45, 10, 0, -8, 0, 0, -4, -6, 0, 0, 24, 0, -4, 1, 0, 6, 24, 0, -4, 0, 0, -18, 30, 0, 0, 10, 0, 14, -36, 0, -6, 3, 0, 6, 0, 0, 38, 16, 0, -5, 18, 0, 16, 6, 0, 12, -2, 0, 14, 0, 0, -4, 0, 0, 0, 4, 0, 8, -24, 0, 38, -20, 0, -12, -5, 0, -8, 12, 0, 0, -12, 0, 26, 8, 0, -16, -48, 0, 14, 0, 0, 4, 24, 0, 0, -8, 0, 2, -30, 0, -6, 6, 0, 12, 0, 0, -10, 22, 0, 0, -6, 0, -4, -6, 0, -6, -12, 0, -8, 0, 0, 0, 4, 0, -40, 2, 0, -12, 36, 0, -8, 10, 0, 1, 0, 0, -16, 4, 0, 0, -12, 0, -6, 32, 0, -4, -12, 0, 20, 0, 0, 24, 0, 0, 0, -6, 0, 2, -36, 0, 4, -1, 0, 18, 0, 0, 6, -4, 0, 0, -30, 0, 20, 12, 0, 24, -4, 0, 13, 0, 0, 16, -24, 0, 0, 4, 0, 0, 3, 0, -16, -14, 0, -1, 0, 0, 32, 18, 0, -5, -48, 0, -20, 28, 0, -16, 18, 0, 16, 0, 0, 6, -36, 0, 0, 4, 0, 6, -6, 0, -16, 4, 0, -12, 30, 0, 14, -1, 0, 0, -24, 0, -12, -2, 0, 30, -24, 0, -32, 0, 0, 2, 18, 0, 0, -6, 0, -24, 30, 0, 2, 8, 0, -22, 0, 0, 38, -8, 0, 0, 24, 0, -16, 16, 0, 2, 30, 0, -28, 0, 0, -18, -36, 0, 25, -2, 0, 2, 2, 0, 8, 10, 0, 12, 0, 0, 12, -6, 0, 0, -6, 0, -28, -12, 0, -8, 30, 0, 0, -20, 0, 20, -12, 0, 0, 6, 0, 12, 12, 0, 50, -20, 0, 12, 0, 0, 36, 0, 0, 0, 4, 0, 38, 22, 0, 3, 18, 0, 28, 0, 0, -4, -24, 0, 0, 20, 0, -4, -48, 0, -28, -6, 0, -12, 0, 0, 6, 28, 0, -10, 42, 0, 16, -1, 0, 18, 12, 0, -10, 0, 0, 18, 24, 0, 0, 0, 0, 12, 18, 0, -8, -45, 0, -10, 30, 0, 44, 8, 0, 0, -4, 0, 44, 4, 0, 6, 4, 0, 44, 0, 0, -24, 24, 0, 0, 4, 0, -1, 24, 0, 20, -6, 0, -24, 0, 0, 38, 4, 0, 0, -6, 0, -32, 18, 0, -30, 0, 0, 14, 0, 0, -10, -12, 0, 20, -14, 0, 36, 48, 0, 6, 6, 0, -3, 0, 0, 20, -6, 0, 0, 12, 0, 16, -38, 0, -16, -12, 0, -6, 5, 0, -18, -2, 0, 0, -16, 0, -6, 30, 0, -28, -12, 0, 2, 0, 0, -32, -14, 0, 0, -30, 0, 44, 4, 0, 0, 36, 0, 14, 0, 0, -4, -3, 0, 0, -8, 0, 24, 30, 0, 7, -38, 0, 20, 0, 0, 2, 12, 0, 5, -12, 0, -28, 8, 0, -12, 30, 0, -4, 0, 0, 12, -6, 0, 0, -26, 0, -8, 10, 0, 16, 16, 0, 48, 0, 0, -40, -14, 0, 0, 30, 0, 20, -4, 0, -24, 24, 0, 4, 0, 0, 8, -48, 0, 0, -2, 0, 30, 24, 0, 12, 6, 0, -6, 0, 0, 20, -12, 0, 0, -6, 0, 12, 10, 0, -22, 24, 0, -34, 0, 0, 6, 24, 0, -10, 4, 0, 6, -54, 0, -24, 6, 0, 12, 0, 0, -46, 8, 0, 0, -30, 0, -36, 0, 0, -4, -60, 0, -8, 40, 0, -2, -42, 0, 0, 12, 0, -36, 36, 0, -15, 8, 0, -10, 0, 0, -22, -1, 0, 0, 0, 0, -32, 16, 0, -4, 42, 0, 18, 0, 0, 12, 42, 0, 0, 6, 0, -32, 24, 0, 20, 4, 0, 12, 0, 0, 32, -20, 0, 0, 8, 0, 0, -24, 0, 0, 96, 0, -10, 0, 0, 6, 12, 0, 0, -2, 0, 36, 12, 0, 2, -4, 0, 1, -30, 0, 40, -18, 0, 0, 0, 0, 50, -6, 0, 4, -4, 0, -40, 0, 0, 30, -12, 0, 0, -20, 0, -12, 54, 0, 56, -24, 0, 4, 0, 0, -44, -13, 0, 0, 36, 0, -34, -16, 0, 24, -14, 0, -52, 0, 0, -4, -12, 0, 20, 0, 0, -3, 48, 0, 36, 16, 0, 14, 0, 0, 8, 1, 0, 0, -36, 0, -22, -32, 0, -18, -42, 0, 4, 5, 0, 48, 6, 0, 0, 20, 0, -28, 48, 0, -6, 16, 0, -18, 0, 0, -28, -16, 0, 0, 0, 0, 44, -6, 0, 36, 18, 0, -58, 0, 0, -4, 4, 0, 0, -6, 0, 6, -4, 0, 40, 16, 0, -4, 0, 0, -8, 12, 0, -30, 36, 0, 14, -14, 0, 1, 72, 0, -32, 0, 0, 24, -60, 0, 0, 12, 0, 2, 0, 0, -52, -30, 0, 24, 30, 0, -12, 32, 0, 0, -36, 0, 6, -2, 0, -18, 60, 0, -36, 0, 0, 6, 30, 0, 0, 24, 0, -30, 16, 0, -22, -2, 0, -8, 0, 0, -6, 22, 0, 0, -12, 0, -10, -38, 0, 8, 30, 0, -72, 0, 0, -24, -24, 0, 15, 16, 0, -16, 6, 0, 26, -2, 0, -30, 0, 0, 2, 28, 0, 0, 2, 0, -6, 18, 0, 36, 24, 0, 26, -25, 0, 2, 0, 0, 0, -2, 0, -2, -24, 0, -56, -8, 0, -10, 0, 0, -20, -12, 0, 0, -24, 0, -32, -12, 0, 6, 0, 0, -4, 0, 0, 6, -36, 0, 0, 28, 0, 12, -6, 0, -28, 8, 0, -30, 0, 0, 38, 0, 0, 20, 24, 0, 44, -20, 0, 12, -12, 0, -2, 0, 0, -6, -24, 0, 0, -12, 0, -12, 0, 0, 38, -50, 0, 20, -60, 0, -70, -12, 0, 0, -1, 0, 16, -36, 0, 0, 36, 0, 16, 0, 0, -4, -10, 0, 0, -38, 0, -22, -48, 0, -20, -3, 0, -18, 0, 0, 0, -28, 0, 0, -30, 0, 36, 4, 0, 24, 18, 0, -33, 0, 0, -20, -24, 0, 0, 4, 0, 48, -12, 0, -64, 28, 0, 6, 0, 0, 16, 12, 0, 0, -48, 0, -32, -6, 0, -28, -2, 0, 14, 10, 0, -42, 24, 0, 0, -16, 0, 1, -30, 0, -12, -18, 0, -12, 0, 0, 64, 10, 0, 0, 18, 0, -4, -18, 0, -24, 12, 0, -28, 0, 0, 0, 30, 0, 0, -12, 0, -18, 54, 0, -12, 8, 0, 45, 0, 0, -22, 10, 0, -30, 12, 0, -10, -44, 0, -8, 24, 0, 20, 0, 0, 4, -16, 0, 0, -44, 0, -4, -24, 0, 38, -6, 0, -4, 0, 0, 40, -44, 0, 0, -30, 0, 68, 24, 0, -24, 24, 0, -22, 0, 0, -4, -18, 0, 0, 1, 0, -24, -24, 0, -80, -20, 0, 6, 0, 0, -18, 24, 0, 0, 18, 0, -18, -38, 0, -4, 12, 0, 12, 0, 0, 6, -12, 0, 20, 32, 0, -18, 16, 0, -4, 30, 0, 0, 0, 0, -72, -14, 0, 0, 24, 0, 32, 10, 0, 12, -8, 0, 74, -20, 0, 14, -6, 0, 0, -36, 0, -48, 0, 0, 16, -6, 0, -6, 0, 0, -16, 3, 0, 0, 36, 0, -4, -20, 0, 6, -96, 0, -16, 0, 0, -12, -12, 0, 0, -16, 0, 38, -24, 0, -8, 16, 0, 12, 0, 0, 8, 6, 0, -5, -18, 0, -44, 18, 0, 2, -6, 0, 62, 0, 0, 16, 42, 0, 0, 6, 0, -30, 12, 0, -22, 28, 0, 12, 0, 0, 68, -2, 0, 0, 12, 0, 36, 32, 0, 14, -36, 0, 6, 0, 0, 30, -48, 0, 0, -44, 0, -4, 14, 0, -8, 0, 0, -36, 0, 0, -34, -14, 0, 0, 22, 0, -46, 4, 0, 3, -12, 0, -40, 0, 0, 8, 24, 0, 20, -24, 0, -30, -12, 0, -5, -7, 0, 38, 0, 0, -20, -20, 0, 0, -144, 0, 56, -2, 0, -12, 42, 0, 44, -5, 0, 12, -48, 0, 0, 28, 0, -8, 0, 0, 0, 12, 0, -30, 0, 0, 6, 4, 0, 0, -18, 0, 32, -12, 0, 6, -2, 0, -64, 0, 0, 26, -18, 0, 0, 8, 0, -10, -12, 0, -58, -16, 0, -16, 0, 0, 20, -48, 0, 0, -4, 0, 14, 40, 0, 14, -48, 0, -70, 0, 0, -30, -24, 0, 0, -20, 0, 4, 24, 0, 12, 24, 0, -24, 30, 0, -22, -4, 0, 0, -72, 0, 20, -8, 0, 48, -36, 0, -40, 0, 0, 2, -20, 0, 0, -30, 0, -24, -36, 0, 26, -12, 0, -6, 0, 0, 64, 6, 0, 0, -60, 0, -6, -20, 0, 12, 60, 0, 12, 0, 0, 6, -24, 0, -10, -12, 0, -10, 0, 0, 32, 22, 0, -24, 0, 0, 0, 34, 0, 0, -48, 0, 112, -6, 0, -24, -72, 0, -27, 10, 0, -4, -16, 0, 0, -6, 0, 54, -3, 0, -4, 24, 0, -6, 0, 0, 32, -12, 0, 0, 54, 0, -34, 46, 0, -8, -30, 0, 44, 0, 0, 30, 0, 0, 0, 36, 0, 0, 66, 0, 16, 4, 0, 60, 0, 0, 28, 8, 0, -40, 0, 0, 6, 2, 0, 42, 0, 0, 72, 0, 0, -12, -54, 0, 0, 36, 0, -36, 48, 0, 6, 15, 0, -8, 10, 0, -36, 10, 0, 0, -36, 0, -64, 22, 0, 1, 24, 0, -56, 0, 0, 0, 24, 0, 0, 32, 0, -16, 6, 0, -28, 4, 0, -42, 0, 0, -32, -18, 0, 0, 24, 0, 88, -12, 0, -42, -12, 0, 0, 0, 0, -6, -12, 0, 50, 32, 0, -24, 60, 0, -8, -20, 0, -4, 0, 0, 20, -12, 0, 0, 10, 0, 14, -32, 0, 20, 42, 0, 50, 0, 0, -8, 36, 0, 0, 0, 0, 24, -18, 0, -28, 0, 0, -96, 0, 0, 2, 10, 0, 0, 24, 0, 2, -6, 0, -12, 60, 0, 74, 0, 0, 2, 96, 0, 0, -36, 0, -12, -78, 0, -8, -2, 0, 4, 0, 0, 108, -1, 0, 30, -60, 0, -4, -40, 0, 18, 1, 0, 36, 0, 0, 0, -48, 0, 0, -50, 0, 6, 36, 0, -128, -4, 0, 4, 60, 0, 16, 40, 0, 0, -18, 0, -76, -30, 0, 12, 24, 0, 2, 0, 0, 20, 48, 0, 0, 12, 0, -54, 60, 0, -18, -56, 0, 24, 0, 0, 12, -4, 0, 0, 12, 0, -46, 44, 0, 13, -12, 0, -80, 0, 0, -36, 10, 0, 0, 34, 0, 16, 30, 0, 80, -24, 0, 14, 0, 0, -58, 52, 0, 0, -54, 0, -76, 4, 0, 12, 48, 0, -32, -20, 0, 0, -54, 0, 0, 3, 0, -48, 2, 0, -34, -36, 0, -16, 0, 0, 6, -14, 0, 0, 0, 0, 72, -8, 0, -1, 36, 0, -52, 0, 0, 36, 0, 0, 0, 22, 0, 32, 16, 0, 4, 18, 0, 42, 0, 0, 40, -4, 0, -5, 24, 0, 44, -48, 0, -6, 24, 0, -11, 0, 0, -20, -78, 0, 0, 28, 0, -48, -24, 0, -28, 6, 0, -16, 90, 0, 12, 18, 0, 0, -84, 0, 12, 28, 0, 16, 0, 0, 26, 0, 0, 0, -60, 0, 0, -44, 0, 6, 24, 0, -52, -36, 0, -18, 0, 0, -8, 58, 0, 0, 16, 0, -8, 4, 0, -4, 12, 0, -70, 0, 0, 6, 90, 0, 40, -6, 0, 4, -48, 0, -22, -40, 0, -16, 0, 0, -70, 4, 0, 0, 60, 0, 26, 8, 0, -12, -78, 0, 8, 30, 0, -36, 18, 0, 0, -14, 0, 14, 54, 0, -64, -1, 0, -72, 0, 0, 40, 32, 0, 0, -20, 0, -36, -24, 0, 60, 0, 0, 18, 0, 0, -12, -12, 0, 0, -2, 0, 0, -36, 0, -34, 52, 0, 30, 0, 0, -28, -24, 0, -30, 0, 0, 40, 12, 0, -32, -48, 0, -44, 0, 0, 36, -16, 0, 0, -6, 0, 2, 24, 0, -76, 18, 0, -60, 0, 0, -22, 36, 0, 0, 60, 0, -10, -6, 0, -30, 8, 0, -40, 0, 0, -24, 6, 0, 0, 30, 0, -16, 6, 0, -19, 22, 0, 2, 0, 0, 72, 8, 0, 0, 60, 0, 16, 6, 0, -22, 6, 0, 0, 0, 0, 12, -6, 0, -70, 10, 0, 38, 24, 0, 4, -8, 0, -30, 0, 0, -28, 72, 0, 0, -30, 0, -56, 24, 0, 24, 54, 0, 40, -15, 0, -16, -8, 0, 0, 16, 0, -6, 84, 0, -72, -26, 0, 2, 0, 0, 92, 30, 0, 0, -36, 0, 26, -2, 0, -28, 54, 0, -8, 0, 0, -2, -72, 0, 0, 6, 0, -18, 96, 0, -72, -36, 0, -24, 0, 0, 12, -26, 0, 25, -24, 0, 74, -2, 0, 0, 96, 0, 40, 0, 0, 2, -24, 0, 0, 2, 0, 24, 22, 0, 62, 56, 0, 8, -30, 0, 90, 10, 0, 0, -24, 0, -6, 20, 0, 12, 0, 0, 20, 0, 0, 24, -36, 0, 0, 32, 0, 12, 30, 0, -22, -6, 0, 0, 0, 0, -22, 4, 0, 0, 24, 0, -6, -6, 0, 36, -22, 0, -8, 0, 0, -28, 48, 0, 20, -12, 0, 6, -60, 0, 108, 28, 0, -8, 0, 0, 64, 30, 0, 0, -72, 0, -46, -38, 0, 0, -36, 0, -36, -20, 0, -24, 144, 0, 0, -44, 0, 20, -18, 0, -8, -12, 0, 12, 0, 0, 14, 2, 0, 0, -96, 0, 16, 6, 0, 24, -12, 0, -12, 0, 0, 12, -6, 0, 0, 12, 0, 0, 48, 0, -128, -38, 0, 50, 0, 0, -58, -20, 0, 60, 10, 0, -8, 70, 0, 12, 66, 0, -52, 0, 0, 1, -42, 0, 0, -16, 0, 36, 2, 0, -64, 0, 0, -36, -60, 0, 38, -16, 0, 0, 60, 0, 20, 4, 0, 10, -30, 0, 14, 0, 0, 38, -84, 0, 0, 22, 0, 48, 48, 0, 4, 20, 0, 3, 0, 0, -28, 18, 0, 0, -6, 0, 38, 0, 0, 28, 32, 0, -34, 0, 0, 30, -72, 0, 80, -36, 0, -4, -30, 0, -4, -24, 0, -18, 0, 0, -12, 33, 0, 0, 30, 0, -80, 20, 0, 24, -24, 0, 92, 0, 0, -4, -102, 0, 0, -48, 0, 12, 72, 0, 24, 64, 0, -28, 0, 0, 86, -6, 0, 0, 20, 0, 0, -16, 0, -12, -6, 0, 76, 0, 0, 48, -6, 0, 0, 32, 0, 6, -54, 0, -22, 28, 0, 2, 0, 0, -58, -14, 0, -10, 102, 0, 68, 42, 0, -24, 36, 0, 91, 0, 0, 16, -84, 0, 0, -1, 0, 30, 60, 0, 32, 12, 0, 18, -30, 0, 18, 12, 0, 0, -48, 0, 98, -64, 0, -10, -78, 0, 0, 0, 0, -18, 36, 0, 0, 4, 0, 18, -4, 0, 80, 24, 0, -12, 0, 0, 2, 28, 0, 0, 12, 0, 28, 0, 0, -30, 24, 0, -176, 0, 0, 12, 3, 0, 0, 18, 0, -54, 0, 0, 16, 12, 0, -8, 0, 0, 32, -45, 0, 0, 0, 0, 24, 22, 0, -10, 66, 0, -32, 30, 0, -12, 12, 0, 0, 10, 0, 44, -72, 0, -36, 8, 0, -24, 0, 0, 92, -20, 0, 0, -12, 0, -20, -4, 0, 16, -54, 0, -36, 0, 0, 44, -48, 0, 0, 4, 0, 24, -84, 0, -6, -38, 0, 6, 0, 0, 76, 4, 0, 0, 48, 0, -10, -40, 0, 44, 12, 0, 0, 0, 0, 30, 60, 0, 0, -68, 0, -24, -90, 0, 44, 24, 0, -24, -10, 0, 88, 22, 0, 0, -14, 0, 16, 4, 0, 18, 24, 0, 12, 0, 0, -1, 12, 0, 0, 24, 0, 24, 12, 0]}