# Stored data for newform 1170.2.a.c, downloaded from the LMFDB on 03 September 2025. {"Nk2": 4680, "analytic_conductor": 9.342497036489805, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, -1], [13, -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": [1170, 1, [911, 937, 1081], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[7, [4, 1]], [11, [0, 1]], [17, [-6, 1]], [31, [10, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007199288296594, "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": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "1170.2.a.c", "level": 1170, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 5, 13], "level_radical": 390, "minimal_twist": "1170.2.a.c", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{4}+q^{5}-4q^{7}-q^{8}-q^{10}+\\cdots", "related_objects": ["EllipticCurve/Q/1170/c"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1170.2.a", "trace_display": [-1, 0, 1, -4], "trace_hash": 599460378654782581, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.981", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.948", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.852", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.026", "prec": 17}, "traces": [0, 1, -1, 0, 1, 1, 0, -4, -1, 0, -1, 0, 0, 1, 4, 0, 1, 6, 0, -4, 1, 0, 0, -6, 0, 1, -1, 0, -4, 6, 0, -10, -1, 0, -6, -4, 0, -10, 4, 0, -1, 6, 0, -4, 0, 0, 6, -12, 0, 9, -1, 0, 1, -12, 0, 0, 4, 0, -6, 12, 0, -10, 10, 0, 1, 1, 0, 14, 6, 0, 4, 0, 0, -16, 10, 0, -4, 0, 0, 8, 1, 0, -6, -12, 0, 6, 4, 0, 0, -6, 0, -4, -6, 0, 12, -4, 0, 8, -9, 0, 1, -6, 0, 8, -1, 0, 12, -12, 0, -4, 0, 0, -4, 6, 0, -6, 6, 0, -12, -24, 0, -11, 10, 0, -10, 1, 0, -16, -1, 0, -1, -6, 0, 16, -14, 0, -6, -6, 0, -4, -4, 0, 0, 0, 0, 6, 16, 0, -10, -6, 0, 2, 4, 0, 0, -10, 0, 2, -8, 0, -1, 24, 0, 2, 6, 0, 12, 24, 0, 1, -6, 0, -4, 0, 0, -4, 0, 0, 6, 6, 0, 2, 4, 0, 6, -10, 0, 0, -12, 0, 4, 12, 0, -16, -8, 0, 9, 6, 0, 20, -1, 0, 6, -24, 0, 6, -8, 0, 1, 0, 0, -4, -12, 0, 12, -4, 0, 40, 4, 0, 0, 6, 0, 8, 4, 0, -6, 12, 0, -4, 6, 0, -6, -6, 0, -12, 12, 0, 24, 0, 0, -10, 11, 0, -10, 9, 0, -4, 10, 0, -1, 18, 0, 0, 16, 0, 1, 30, 0, 40, 1, 0, 6, -6, 0, -12, -16, 0, 14, -30, 0, 14, 6, 0, 6, 0, 0, 26, 4, 0, 4, 6, 0, 8, 0, 0, 0, -24, 0, 19, -6, 0, -16, 18, 0, 12, 10, 0, 6, -6, 0, 16, -2, 0, -4, -10, 0, -22, 0, 0, 10, -12, 0, -10, -2, 0, 8, 6, 0, 0, 1, 0, -24, -24, 0, 1, -2, 0, -6, 48, 0, 8, -12, 0, -24, 14, 0, 14, -1, 0, 6, 0, 0, -8, 4, 0, 0, 12, 0, 8, 4, 0, 0, -30, 0, 0, -6, 0, -6, 0, 0, -3, -2, 0, -4, -16, 0, 8, -6, 0, 10, 48, 0, -34, 0, 0, 12, 6, 0, -16, -4, 0, -12, 0, 0, 0, 16, 0, 8, 6, 0, -36, -9, 0, -6, 8, 0, -10, -20, 0, 1, 18, 0, -10, -6, 0, 24, 0, 0, -22, -6, 0, 8, -48, 0, -12, -1, 0, 0, 18, 0, -16, 4, 0, 12, 6, 0, 40, -12, 0, 4, -24, 0, 14, -40, 0, -4, 24, 0, -4, 0, 0, -6, 0, 0, -6, -8, 0, -4, 42, 0, 0, 6, 0, -12, -4, 0, 8, 4, 0, -6, -6, 0, 32, 6, 0, 6, 24, 0, -56, 12, 0, -12, 0, 0, -4, -24, 0, 0, -24, 0, -10, 10, 0, -11, 8, 0, 20, 10, 0, -9, -18, 0, 36, 4, 0, -10, 0, 0, -4, 1, 0, -18, -6, 0, -6, 0, 0, -16, 42, 0, 64, -1, 0, -30, 8, 0, 0, -40, 0, -1, 24, 0, -4, -6, 0, 6, -60, 0, 13, 12, 0, 16, 6, 0, -12, -14, 0, 30, 0, 0, -16, -14, 0, -6, -4, 0, -28, -6, 0, 0, -24, 0, -32, -26, 0, -4, 42, 0, -4, -4, 0, -6, 24, 0, 6, -8, 0, 0, 0, 0, -28, 0, 0, 24, -6, 0, -40, -19, 0, 6, 48, 0, 0, 16, 0, -18, -12, 0, 40, -12, 0, -10, 30, 0, -24, -6, 0, 6, -24, 0, -10, -16, 0, 2, -11, 0, -16, 4, 0, 10, -12, 0, 38, 22, 0, 0, -42, 0, -40, -10, 0, 12, 24, 0, 1, 10, 0, 2, -60, 0, -34, -8, 0, -6, -16, 0, 9, 0, 0, -1, 0, 0, 14, 24, 0, 24, 18, 0, 0, -1, 0, 2, 12, 0, -6, 6, 0, -48, 6, 0, -28, -8, 0, 12, 16, 0, -36, 24, 0, -14, 0, 0, -46, -14, 0, 1, -48, 0, -32, -6, 0, 0, -12, 0, -6, 8, 0, -4, -12, 0, 8, 0, 0, -12, -4, 0, 36, -8, 0, -4, 6, 0, 40, 0, 0, 30, 24, 0, -4, 0, 0, 6, 60, 0, 0, 6, 0, 0, 0, 0, -32, 3, 0, 2, 6, 0, 32, 4, 0, 16, -24, 0, -22, -8, 0, 6, 0, 0, -16, -10, 0, -48, -36, 0, -6, 34, 0, 0, 48, 0, 20, -12, 0, -6, 2, 0, -22, 16, 0, 4, -42, 0, 16, 12, 0, 0, 12, 0, 50, 0, 0, -16, -6, 0, -10, -8, 0, -6, -24, 0, 0, 36, 0, 9, 2, 0, 14, 6, 0, -8, -24, 0, -10, 10, 0, 20, 12, 0, -72, -1, 0, -18, 0, 0, 24, 10, 0, 6, 12, 0, -28, -24, 0, 0, 2, 0, 16, 22, 0, 6, -6, 0, 32, -8, 0, 48, 12, 0, 38, 12, 0, 1, 54, 0, 24, 0, 0, -18, 0, 0, 7, 16, 0, -4, 1, 0, 44, -12, 0, -6, 60, 0, -10, -40, 0, 12, -18, 0, -28, -4, 0, 24, 48, 0, 0, -14, 0, 40, 0, 0, 14, 4, 0, -24, -4, 0, 26, 4, 0, 0, -24, 0, 20, 6, 0, 0, -54, 0, 64, 6, 0, 8, 48, 0, 6, 4, 0, -42, -60, 0, -72, 0, 0, -6, 2, 0, 32, 12, 0, 4, -24, 0, 0, -8, 0, -4, 24, 0, 20, 6, 0, 6, 0, 0, -10, -32, 0, -6, -18, 0, -36, -6, 0, -24, 0, 0, -22, 56, 0, -12, 30, 0, -36, 12, 0, 0, 36, 0, -16, 4, 0, 24, -6, 0, 12, 0, 0, 24, 24, 0, 69, 10, 0, -10, -16, 0, -52, 11, 0, -8, -6, 0, 16, -20, 0, -10, -18, 0, 0, 9, 0, 18, -60, 0, 6, -36, 0, -4, 24, 0, -4, 10, 0, 0, 20, 0, -10, 4, 0, -1, 0, 0, 72, 18, 0, 6, 48, 0, -10, 6, 0, 0, 48, 0, -24, 16, 0, -42, 12, 0, -40, -64, 0, 1, 6, 0, 8, 30, 0, -8, -24, 0, 44, 0, 0, 40, -60, 0, -40, 1, 0, -24, 24, 0, 0, 4, 0, 6, -12, 0, 20, -6, 0, 60, -4, 0, -8, -13, 0, -12, 6, 0, -16, -16, 0, -6, 0, 0, 50, 12, 0, 14, -60, 0, -4, -30, 0, 0, -12, 0, 72, 16, 0, 14, 40, 0, -28, 6, 0, 4, 42, 0, 26, 28, 0, 6, -42, 0, -8, 0, 0, 24, 24, 0, 6, 32, 0, 26, -6, 0, 0, 4, 0, -42, 8, 0, 2, 4, 0, 4, -48, 0, 26, 6, 0, -24, -54, 0, -22, -6, 0, 8, 0, 0, 12, 0, 0, 0, 84, 0, -8, 28, 0, 0, -4, 0, 100, -24, 0, 6, -24, 0, -46, 40, 0, 19, -6, 0, 40, -6, 0, -48, 12, 0, -6, 0, 0, -16, -96, 0, 44, 18, 0, 12, -12, 0, 0, -40, 0, 12, -42, 0, -4, 10, 0, -30, -24, 0, 36, 24, 0, 6, -66, 0, 0, -6, 0, 24, 0, 0, 62, 10, 0, 16, -10, 0, 0, -2, 0, 11, 0, 0, 2, 16, 0, -4, 18, 0, 72, -10, 0, 12, -18, 0, 9, -38, 0, -22, 18, 0, -16, 0, 0, 42, -4, 0, -10, 40, 0, 10, -96, 0, 0, -12, 0, -24, -24, 0, -10, -1, 0, -10, -24, 0, 18, -2, 0, 60, 60, 0, 8, 34, 0, 8, 0, 0, -8, 6, 0, 16, -60, 0, -56, -9, 0, 0, 48, 0, -34, 1, 0, 0, 24, 0, 30, -14, 0, -24, -54, 0, -4, -24, 0, -18, 40, 0, -34, 0, 0, 1, -54, 0, 8, -2, 0, -12, -36, 0, 0, 6, 0, -6, -6, 0, -6, 48, 0, -6, 24, 0, -22, 28, 0, 8, -12, 0, 8, -12, 0, -16, 0, 0, 40, 36, 0, -24, -48, 0, 8, 14, 0, 0, 48, 0, -30, 46, 0, 14, 0, 0, 64, -1, 0, 48, 14, 0, -72, 32, 0, 6, -36, 0, -72, 0, 0, 12, -12, 0, 63, 6, 0, -8, 42, 0, 0, 4, 0, 12, -24, 0, 2, -8, 0, 0, 26, 0, 64, 12, 0, 4, -12, 0, -80, -36, 0, 8, 0, 0, 26, 4, 0, -6, 60, 0, 6, -40, 0, 0, -30, 0, -72, -30, 0, -24, 8, 0, -4, 4, 0, 0, 54, 0, -52, -6, 0, -60, -36, 0, 26, 0, 0, -6, 6, 0, -24, 0, 0, 0, -12, 0, 0, 32, 0, -3, 19, 0, -64, -2, 0, -6, -60, 0, 14, -32, 0, -4, 120, 0, 20, -16, 0, 24, 0, 0, 18, 22, 0, 8, 6, 0, -22, -6, 0, 0, 12, 0, 16, 16, 0, 10, -12, 0, -16, 48, 0, 36, 36, 0, 26, 6, 0, -34, -54, 0, -6, 0, 0, -48, -66, 0, -32, -20, 0, 12, 16, 0, 0, 6, 0, -2, 48, 0, -36, 22, 0, -16, -60, 0, -90, -4, 0, 42, 36, 0, -10, -16, 0, -12, 0, 0, -52, 0, 0, -12, -22, 0, -72, -50, 0, 0, -84, 0, 8, 16, 0, 6, -24, 0, -52, 10, 0, 8, 6, 0, -12, 6, 0, 24, -36, 0, -32, 0, 0, -36, -10, 0, 8, -9, 0, -2, 24, 0, -11, -14, 0, -6, 48, 0, -52, 8, 0, 24, -42, 0, 6, 10, 0, -10, -48, 0, 40, -20, 0, -12, 0, 0, 50, 72, 0, 1, 30, 0, 16, 18, 0, 0, -24, 0, -10, -24, 0, -10, 24, 0, -24, -6, 0, -12, -12, 0, 14, 28, 0, 24, 1, 0, 62, 0, 0, -2, 24, 0, 0, -16, 0, -22, 36, 0, 0, -6, 0, 6, 120, 0, 48, -32, 0, 8, 48, 0, -16, -48, 0, -12, 8, 0, 20, -38, 0, -12, 0, 0, -16, -1, 0, -54, 72, 0, 68, -24, 0, 0, 0, 0, 14, 18, 0, 0, 96, 0, -5, -7, 0, -16, 14, 0, 40, 4, 0, -1, 24, 0, 26, -44, 0, 12, 18, 0, -28, 6, 0, -60, -6, 0, 0, 10, 0, 40, 66, 0, 72, -12, 0, 18, -8, 0, -36, 28, 0, 4, 30, 0, 50, -24, 0, -48, 0, 0, 16, 0, 0, 14, 36, 0, 12, -40, 0, 0, 120, 0, -70, -14, 0, -4, 8, 0, 2, 24, 0, 4, 48, 0, -28, -26, 0, -4, -72, 0, -4, 0, 0, 24, -24, 0, -30, -20, 0, -6, -60, 0, 0, 0, 0, 54, 0, 0, -46, -64, 0, -6, -6, 0, -40, -8, 0, -48, 12, 0, 44, -6, 0, -4, 0, 0, 0, 42, 0, 60, -120, 0, 62, 72, 0, 0, -3, 0, -4, 6, 0, -2, 42, 0, -90, -32, 0, -12, -48, 0, -72, -4, 0, 24, -66, 0, -16, 0, 0, 8, -120, 0, 50, 4, 0, -24, 8, 0, 0, -20, 0, -6, 24, 0, -32, -6, 0, 0, -18, 0, -27, 10, 0, 32, -24, 0, 48, 6, 0, 18, 0, 0, 8, 36, 0, 6, -34, 0, -22, 24, 0, 0, -60, 0, -34, 22, 0, -56, -6, 0, -10, 12, 0, -30, 120, 0, 6, 36, 0, -12, -12, 0, 100, 0, 0, -36, -16, 0, -56, 16, 0, -4, -78, 0, 0, -24, 0, 6, 48, 0, 72, -12, 0, 0, 42, 0, 0, -24, 0, -24, 24, 0, 36, -69, 0, -10, 0, 0, -72, 10, 0, 16, 0, 0, -34, 52, 0, -11, -6, 0, -104, 8, 0, 6, 84, 0, 6, -16, 0, 20, 6, 0, 20, 10, 0, 18, -36, 0, -32, 0, 0, -9, 120, 0, 2, -18, 0, 60, -24, 0, 0, -6, 0, 36, 0, 0, 8, 4, 0, -24, -66, 0, -32, 4, 0, -10, -10, 0, -10, 0, 0, -20, 0, 0, 62, 10, 0, -4, 6, 0, -16, 1, 0, 0, 36, 0, 18, -72, 0, -18, 54, 0, -28, -6, 0, -48, -10, 0, -28, 10, 0, -6, 48, 0, -76, 0, 0, -48, 12, 0, 26, 24, 0, -16, 48, 0, 0, 42, 0, -12, 48, 0, 2, 40, 0, 64, -22, 0, 36, -1, 0, -6, -72, 0, 26, -8, 0, -30, -66, 0, 0, 8, 0, 24, -18, 0, -48, -44, 0, 0, 66, 0, 16, -40, 0, 60, -12, 0, -140, 40, 0, -1, 24, 0, 32, 24, 0, -24, 84, 0, 14, 0, 0, -4, 24, 0, 18, -6, 0, 12, 72, 0, 0, -20, 0, 6, -16, 0, -36, -60, 0, 4, 72, 0, -40, 8, 0, 13, -96, 0, 2, 12, 0, -6, 0, 0, 6, 16, 0, 16, 72, 0, -52, 6, 0, 0, 40, 0, 68, -50, 0, -12, -42, 0, 68, -14, 0, 60, -24, 0, 88, 4, 0, 30, -90, 0, -24, 0, 0, 12, -96, 0, -34, -72, 0, -16, 14, 0, 0, -14, 0, -40, 24, 0, -72, 28, 0, -6, 48, 0, -28, -4, 0, -42, -120, 0, 24, -26, 0, -28, 0, 0, 40, -6, 0, 42, -4, 0, 1, 8, 0, 0, 0, 0, 62, -24, 0, -24, 18, 0, 97, -6, 0, -32, -48, 0, 0, -26, 0, 6, -24, 0, -64, 0, 0, -4, -6, 0, -36, 42, 0, -8, -48, 0, 0, -2, 0, -4, 12, 0, -28, -4, 0, 48, -60, 0, 42, -26, 0, -6, 0, 0, -28, 24, 0, 54, 0, 0, 100, 22, 0, 6, 96, 0, 160, -8, 0, 0, -12, 0, -52, -12, 0, 0, -30, 0, -4, 0, 0, -84, 48, 0, 50, 8, 0, -28, 8, 0, 56, 0, 0, 4, 48, 0, 2, -100, 0, 24, 54, 0, 44, -6, 0, 24, -108, 0, -6, 46, 0, -40, 90, 0, 8, -19, 0, 6, 32, 0, -32, -40, 0, 6, 0, 0, 36, 48, 0, -12, 6, 0, -36, 6, 0, 0, -90, 0, 24, 16, 0, 96, -6, 0, -10, -44, 0, -18, -56, 0, 62, -12, 0, 12, -24, 0, 2, 0, 0, 40, 48, 0, -56, -12, 0, 42, -24, 0, 0, 4, 0, -10, -48, 0, 68, 30, 0, 24, -4, 0, 44, -36, 0, -24, -18, 0, -16, -6, 0, 66, 0, 0, -22, 0, 0, 6, 18, 0, -24, -24, 0, 0, 0, 0, -31, -62, 0, -10, -10, 0, -72, -16, 0, 10, -24, 0, 64, 0, 0, 2, 42, 0, 72, -11, 0, 0, 60, 0, 8, -2, 0, -16, -48, 0, 0, 4, 0, -18, 20, 0, 2, -72, 0, 10, -48, 0, -32, -12, 0, 18, 42, 0, -80, -9, 0, 38, 0, 0, -18, 22, 0, -18, 84, 0, 72, 16, 0, 0, 36, 0, -52, -42, 0, 4, 120, 0, 86, 10, 0, -40, 30, 0, -140, -10, 0, 96, 12, 0, 0, 0, 0, 12, 24, 0, 144, 24, 0, 24, -4, 0, 0, 10, 0, 1, -60, 0, 92, 10, 0, 24, 24, 0, -16, -18, 0, 2, 0, 0, -6, -60, 0, -60, 0, 0, -34, -8, 0, -34, -6, 0, 12, -8, 0, 0, -30, 0, -36, 8, 0, -6, -48, 0, -52, -16, 0, 60, 24, 0, 42, 56, 0, 9, -30, 0, -16, 0, 0, -48, 64, 0, 86, 34, 0, -1, 6, 0, 0, 0, 0, -24, 12, 0, -32, -30, 0, 14, 120, 0, 8, 24, 0, 54, 48, 0, -36, 4, 0, 24, 0, 0, 20, 18, 0, -40, -24, 0, 56, 34, 0, 0, -108, 0, -36, -1, 0, 54, 24, 0, 24, -8, 0, 2, 60, 0, 136, 12, 0, 36, -4, 0, -58, 0, 0, -6, 66, 0, 40, 6, 0, 6, 0, 0, 0, 6, 0, -48, -90, 0, -60, 6, 0, -24, -24, 0, 16, 22, 0, -28, 13, 0, -64, -8, 0, 12, 0, 0, 64, -8, 0, 12, -78, 0, -28, 16, 0, 0, -48, 0, 6, -40, 0, -36, 12, 0, -10, 24, 0, 48, -12, 0, -22, -8, 0, -14, 0, 0, 50, 0, 0, -48, 18, 0, -10, 30, 0, -46, -102, 0, 0, -14, 0, 0, 72, 0, 160, -64, 0, 1, -16, 0, -64, -48, 0, -14, 48, 0, 14, 72, 0, -32, 0, 0, 2, -6, 0, 36, -24, 0, -4, 72, 0, 0, -24, 0, -76, -12, 0, 12, -28, 0, 144, -63, 0, -6, -42, 0, -4, 8, 0, -42, 84, 0, -4, 0, 0, -4, -6, 0, -24, -12, 0, 24, 60, 0, 0, -2, 0, 8, -32, 0, -88, 0, 0, -26, 12, 0, -144, -64, 0, -12, -54, 0, 40, -4, 0, 12, 66, 0, 42, 80, 0, 36, -6, 0, 20, -8, 0, 0, -4, 0, -22, -26, 0, -4, 42, 0, 14, 6, 0, -60, -72, 0, 91, -6, 0, 40, 48, 0, 24, 0, 0, 30, 60, 0, 40, 72, 0, 30, 6, 0, 0, 24, 0, -8, 24, 0, -58, 4, 0, -4, 12, 0, 144, 0, 0, -54, -84, 0, 0, 52, 0, 6, 0, 0, -28, 60, 0, 36, -28, 0, -22, -26, 0, 0, 18, 0, 88, 6, 0, -6, 120, 0, -8, 24, 0, 0, 6, 0, -6, 0, 0, 12, -24, 0, -56, 0, 0, -32, -40, 0, 32, 3, 0, -19, 108, 0, 0, 64, 0, 2, 54, 0, 8, 6, 0, 60, -18, 0, 48, -14, 0, 32, 30, 0, 0, 4, 0, -120, 0, 0, 98, -20, 0, 16, 96, 0, -80, -24, 0, 0, 72, 0, -36, -18, 0, -22, -72, 0, -12, -8, 0, -6, -90, 0, 0, 22, 0, 6, 40, 0, 64, 0, 0, -12, 12, 0, 20, -16, 0, -16, -78, 0, 0, -10, 0, 12, 72, 0, 30, 16, 0, -48, -102, 0, -4, -36, 0, -36, -24, 0, -4, -26, 0, -6, 0, 0, -8, 34, 0, 54, 48, 0, -90, 6, 0, 0, -96, 0, -24, 48, 0, 66, -36, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0], 1, -1, 0, 1, 1, 0, -4, -1, 0, -1, 0, 0, 1, 4, 0, 1, 6, 0, -4, 1, 0, 0, -6, 0, 1, -1, 0, -4, 6, 0, -10, -1, 0, -6, -4, 0, -10, 4, 0, -1, 6, 0, -4, 0, 0, 6, -12, 0, 9, -1, 0, 1, -12, 0, 0, 4, 0, -6, 12, 0, -10, 10, 0, 1, 1, 0, 14, 6, 0, 4, 0, 0, -16, 10, 0, -4, 0, 0, 8, 1, 0, -6, -12, 0, 6, 4, 0, 0, -6, 0, -4, -6, 0, 12, -4, 0, 8, -9, 0, 1, -6, 0, 8, -1, 0, 12, -12, 0, -4, 0, 0, -4, 6, 0, -6, 6, 0, -12, -24, 0, -11, 10, 0, -10, 1, 0, -16, -1, 0, -1, -6, 0, 16, -14, 0, -6, -6, 0, -4, -4, 0, 0, 0, 0, 6, 16, 0, -10, -6, 0, 2, 4, 0, 0, -10, 0, 2, -8, 0, -1, 24, 0, 2, 6, 0, 12, 24, 0, 1, -6, 0, -4, 0, 0, -4, 0, 0, 6, 6, 0, 2, 4, 0, 6, -10, 0, 0, -12, 0, 4, 12, 0, -16, -8, 0, 9, 6, 0, 20, -1, 0, 6, -24, 0, 6, -8, 0, 1, 0, 0, -4, -12, 0, 12, -4, 0, 40, 4, 0, 0, 6, 0, 8, 4, 0, -6, 12, 0, -4, 6, 0, -6, -6, 0, -12, 12, 0, 24, 0, 0, -10, 11, 0, -10, 9, 0, -4, 10, 0, -1, 18, 0, 0, 16, 0, 1, 30, 0, 40, 1, 0, 6, -6, 0, -12, -16, 0, 14, -30, 0, 14, 6, 0, 6, 0, 0, 26, 4, 0, 4, 6, 0, 8, 0, 0, 0, -24, 0, 19, -6, 0, -16, 18, 0, 12, 10, 0, 6, -6, 0, 16, -2, 0, -4, -10, 0, -22, 0, 0, 10, -12, 0, -10, -2, 0, 8, 6, 0, 0, 1, 0, -24, -24, 0, 1, -2, 0, -6, 48, 0, 8, -12, 0, -24, 14, 0, 14, -1, 0, 6, 0, 0, -8, 4, 0, 0, 12, 0, 8, 4, 0, 0, -30, 0, 0, -6, 0, -6, 0, 0, -3, -2, 0, -4, -16, 0, 8, -6, 0, 10, 48, 0, -34, 0, 0, 12, 6, 0, -16, -4, 0, -12, 0, 0, 0, 16, 0, 8, 6, 0, -36, -9, 0, -6, 8, 0, -10, -20, 0, 1, 18, 0, -10, -6, 0, 24, 0, 0, -22, -6, 0, 8, -48, 0, -12, -1, 0, 0, 18, 0, -16, 4, 0, 12, 6, 0, 40, -12, 0, 4, -24, 0, 14, -40, 0, -4, 24, 0, -4, 0, 0, -6, 0, 0, -6, -8, 0, -4, 42, 0, 0, 6, 0, -12, -4, 0, 8, 4, 0, -6, -6, 0, 32, 6, 0, 6, 24, 0, -56, 12, 0, -12, 0, 0, -4, -24, 0, 0, -24, 0, -10, 10, 0, -11, 8, 0, 20, 10, 0, -9, -18, 0, 36, 4, 0, -10, 0, 0, -4, 1, 0, -18, -6, 0, -6, 0, 0, -16, 42, 0, 64, -1, 0, -30, 8, 0, 0, -40, 0, -1, 24, 0, -4, -6, 0, 6, -60, 0, 13, 12, 0, 16, 6, 0, -12, -14, 0, 30, 0, 0, -16, -14, 0, -6, -4, 0, -28, -6, 0, 0, -24, 0, -32, -26, 0, -4, 42, 0, -4, -4, 0, -6, 24, 0, 6, -8, 0, 0, 0, 0, -28, 0, 0, 24, -6, 0, -40, -19, 0, 6, 48, 0, 0, 16, 0, -18, -12, 0, 40, -12, 0, -10, 30, 0, -24, -6, 0, 6, -24, 0, -10, -16, 0, 2, -11, 0, -16, 4, 0, 10, -12, 0, 38, 22, 0, 0, -42, 0, -40, -10, 0, 12, 24, 0, 1, 10, 0, 2, -60, 0, -34, -8, 0, -6, -16, 0, 9, 0, 0, -1, 0, 0, 14, 24, 0, 24, 18, 0, 0, -1, 0, 2, 12, 0, -6, 6, 0, -48, 6, 0, -28, -8, 0, 12, 16, 0, -36, 24, 0, -14, 0, 0, -46, -14, 0, 1, -48, 0, -32, -6, 0, 0, -12, 0, -6, 8, 0, -4, -12, 0, 8, 0, 0, -12, -4, 0, 36, -8, 0, -4, 6, 0, 40, 0, 0, 30, 24, 0, -4, 0, 0, 6, 60, 0, 0, 6, 0, 0, 0, 0, -32, 3, 0, 2, 6, 0, 32, 4, 0, 16, -24, 0, -22, -8, 0, 6, 0, 0, -16, -10, 0, -48, -36, 0, -6, 34, 0, 0, 48, 0, 20, -12, 0, -6, 2, 0, -22, 16, 0, 4, -42, 0, 16, 12, 0, 0, 12, 0, 50, 0, 0, -16, -6, 0, -10, -8, 0, -6, -24, 0, 0, 36, 0, 9, 2, 0, 14, 6, 0, -8, -24, 0, -10, 10, 0, 20, 12, 0, -72, -1, 0, -18, 0, 0, 24, 10, 0, 6, 12, 0, -28, -24, 0, 0, 2, 0, 16, 22, 0, 6, -6, 0, 32, -8, 0, 48, 12, 0, 38, 12, 0, 1, 54, 0, 24, 0, 0, -18, 0, 0, 7, 16, 0, -4, 1, 0, 44, -12, 0, -6, 60, 0, -10, -40, 0, 12, -18, 0, -28, -4, 0, 24, 48, 0, 0, -14, 0, 40, 0, 0, 14, 4, 0, -24, -4, 0, 26, 4, 0, 0, -24, 0, 20, 6, 0, 0, -54, 0, 64, 6, 0, 8, 48, 0, 6, 4, 0, -42, -60, 0, -72, 0, 0, -6, 2, 0, 32, 12, 0, 4, -24, 0, 0, -8, 0, -4, 24, 0, 20, 6, 0, 6, 0, 0, -10, -32, 0, -6, -18, 0, -36, -6, 0, -24, 0, 0, -22, 56, 0, -12, 30, 0, -36, 12, 0, 0, 36, 0, -16, 4, 0, 24, -6, 0, 12, 0, 0, 24, 24, 0, 69, 10, 0, -10, -16, 0, -52, 11, 0, -8, -6, 0, 16, -20, 0, -10, -18, 0, 0, 9, 0, 18, -60, 0, 6, -36, 0, -4, 24, 0, -4, 10, 0, 0, 20, 0, -10, 4, 0, -1, 0, 0, 72, 18, 0, 6, 48, 0, -10, 6, 0, 0, 48, 0, -24, 16, 0, -42, 12, 0, -40, -64, 0, 1, 6, 0, 8, 30, 0, -8, -24, 0, 44, 0, 0, 40, -60, 0, -40, 1, 0, -24, 24, 0, 0, 4, 0, 6, -12, 0, 20, -6, 0, 60, -4, 0, -8, -13, 0, -12, 6, 0, -16, -16, 0, -6, 0, 0, 50, 12, 0, 14, -60, 0, -4, -30, 0, 0, -12, 0, 72, 16, 0, 14, 40, 0, -28, 6, 0, 4, 42, 0, 26, 28, 0, 6, -42, 0, -8, 0, 0, 24, 24, 0, 6, 32, 0, 26, -6, 0, 0, 4, 0, -42, 8, 0, 2, 4, 0, 4, -48, 0, 26, 6, 0, -24, -54, 0, -22, -6, 0, 8, 0, 0, 12, 0, 0, 0, 84, 0, -8, 28, 0, 0, -4, 0, 100, -24, 0, 6, -24, 0, -46, 40, 0, 19, -6, 0, 40, -6, 0, -48, 12, 0, -6, 0, 0, -16, -96, 0, 44, 18, 0, 12, -12, 0, 0, -40, 0, 12, -42, 0, -4, 10, 0, -30, -24, 0, 36, 24, 0, 6, -66, 0, 0, -6, 0, 24, 0, 0, 62, 10, 0, 16, -10, 0, 0, -2, 0, 11, 0, 0, 2, 16, 0, -4, 18, 0, 72, -10, 0, 12, -18, 0, 9, -38, 0, -22, 18, 0, -16, 0, 0, 42, -4, 0, -10, 40, 0, 10, -96, 0, 0, -12, 0, -24, -24, 0, -10, -1, 0, -10, -24, 0, 18, -2, 0, 60, 60, 0, 8, 34, 0, 8, 0, 0, -8, 6, 0, 16, -60, 0, -56, -9, 0, 0, 48, 0, -34, 1, 0, 0, 24, 0, 30, -14, 0, -24, -54, 0, -4, -24, 0, -18, 40, 0, -34, 0, 0, 1, -54, 0, 8, -2, 0, -12, -36, 0, 0, 6, 0, -6, -6, 0, -6, 48, 0, -6, 24, 0, -22, 28, 0, 8, -12, 0, 8, -12, 0, -16, 0, 0, 40, 36, 0, -24, -48, 0, 8, 14, 0, 0, 48, 0, -30, 46, 0, 14, 0, 0, 64, -1, 0, 48, 14, 0, -72, 32, 0, 6, -36, 0, -72, 0, 0, 12, -12, 0, 63, 6, 0, -8, 42, 0, 0, 4, 0, 12, -24, 0, 2, -8, 0, 0, 26, 0, 64, 12, 0, 4, -12, 0, -80, -36, 0, 8, 0, 0, 26, 4, 0, -6, 60, 0, 6, -40, 0, 0, -30, 0, -72, -30, 0, -24, 8, 0, -4, 4, 0, 0, 54, 0, -52, -6, 0, -60, -36, 0, 26, 0, 0, -6, 6, 0, -24, 0, 0, 0, -12, 0, 0, 32, 0, -3, 19, 0, -64, -2, 0, -6, -60, 0, 14, -32, 0, -4, 120, 0, 20, -16, 0, 24, 0, 0, 18, 22, 0, 8, 6, 0, -22, -6, 0, 0, 12, 0, 16, 16, 0, 10, -12, 0, -16, 48, 0, 36, 36, 0, 26, 6, 0, -34, -54, 0, -6, 0, 0, -48, -66, 0, -32, -20, 0, 12, 16, 0, 0, 6, 0, -2, 48, 0, -36, 22, 0, -16, -60, 0, -90, -4, 0, 42, 36, 0, -10, -16, 0, -12, 0, 0, -52, 0, 0, -12, -22, 0, -72, -50, 0, 0, -84, 0, 8, 16, 0, 6, -24, 0, -52, 10, 0, 8, 6, 0, -12, 6, 0, 24, -36, 0, -32, 0, 0, -36, -10, 0, 8, -9, 0, -2, 24, 0, -11, -14, 0, -6, 48, 0, -52, 8, 0, 24, -42, 0, 6, 10, 0, -10, -48, 0, 40, -20, 0, -12, 0, 0, 50, 72, 0, 1, 30, 0, 16, 18, 0, 0, -24, 0, -10, -24, 0, -10, 24, 0, -24, -6, 0, -12, -12, 0, 14, 28, 0, 24, 1, 0, 62, 0, 0, -2, 24, 0, 0, -16, 0, -22, 36, 0, 0, -6, 0, 6, 120, 0, 48, -32, 0, 8, 48, 0, -16, -48, 0, -12, 8, 0, 20, -38, 0, -12, 0, 0, -16, -1, 0, -54, 72, 0, 68, -24, 0, 0, 0, 0, 14, 18, 0, 0, 96, 0, -5, -7, 0, -16, 14, 0, 40, 4, 0, -1, 24, 0, 26, -44, 0, 12, 18, 0, -28, 6, 0, -60, -6, 0, 0, 10, 0, 40, 66, 0, 72, -12, 0, 18, -8, 0, -36, 28, 0, 4, 30, 0, 50, -24, 0, -48, 0, 0, 16, 0, 0, 14, 36, 0, 12, -40, 0, 0, 120, 0, -70, -14, 0, -4, 8, 0, 2, 24, 0, 4, 48, 0, -28, -26, 0, -4, -72, 0, -4, 0, 0, 24, -24, 0, -30, -20, 0, -6, -60, 0, 0, 0, 0, 54, 0, 0, -46, -64, 0, -6, -6, 0, -40, -8, 0, -48, 12, 0, 44, -6, 0, -4, 0, 0, 0, 42, 0, 60, -120, 0, 62, 72, 0, 0, -3, 0, -4, 6, 0, -2, 42, 0, -90, -32, 0, -12, -48, 0, -72, -4, 0, 24, -66, 0, -16, 0, 0, 8, -120, 0, 50, 4, 0, -24, 8, 0, 0, -20, 0, -6, 24, 0, -32, -6, 0, 0, -18, 0, -27, 10, 0, 32, -24, 0, 48, 6, 0, 18, 0, 0, 8, 36, 0, 6, -34, 0, -22, 24, 0, 0, -60, 0, -34, 22, 0, -56, -6, 0, -10, 12, 0, -30, 120, 0, 6, 36, 0, -12, -12, 0, 100, 0, 0, -36, -16, 0, -56, 16, 0, -4, -78, 0, 0, -24, 0, 6, 48, 0, 72, -12, 0, 0, 42, 0, 0, -24, 0, -24, 24, 0, 36, -69, 0, -10, 0, 0, -72, 10, 0, 16, 0, 0, -34, 52, 0, -11, -6, 0, -104, 8, 0, 6, 84, 0, 6, -16, 0, 20, 6, 0, 20, 10, 0, 18, -36, 0, -32, 0, 0, -9, 120, 0, 2, -18, 0, 60, -24, 0, 0, -6, 0, 36, 0, 0, 8, 4, 0, -24, -66, 0, -32, 4, 0, -10, -10, 0, -10, 0, 0, -20, 0, 0, 62, 10, 0, -4, 6, 0, -16, 1, 0, 0, 36, 0, 18, -72, 0, -18, 54, 0, -28, -6, 0, -48, -10, 0, -28, 10, 0, -6, 48, 0, -76, 0, 0, -48, 12, 0, 26, 24, 0, -16, 48, 0, 0, 42, 0, -12, 48, 0, 2, 40, 0, 64, -22, 0, 36, -1, 0, -6, -72, 0, 26, -8, 0, -30, -66, 0, 0, 8, 0, 24, -18, 0, -48, -44, 0, 0, 66, 0, 16, -40, 0, 60, -12, 0, -140, 40, 0, -1, 24, 0, 32, 24, 0, -24, 84, 0, 14, 0, 0, -4, 24, 0, 18, -6, 0, 12, 72, 0, 0, -20, 0, 6, -16, 0, -36, -60, 0, 4, 72, 0, -40, 8, 0, 13, -96, 0, 2, 12, 0, -6, 0, 0, 6, 16, 0, 16, 72, 0, -52, 6, 0, 0, 40, 0, 68, -50, 0, -12, -42, 0, 68, -14, 0, 60, -24, 0, 88, 4, 0, 30, -90, 0, -24, 0, 0, 12, -96, 0, -34, -72, 0, -16, 14, 0, 0, -14, 0, -40, 24, 0, -72, 28, 0, -6, 48, 0, -28, -4, 0, -42, -120, 0, 24, -26, 0, -28, 0, 0, 40, -6, 0, 42, -4, 0, 1, 8, 0, 0, 0, 0, 62, -24, 0, -24, 18, 0, 97, -6, 0, -32, -48, 0, 0, -26, 0, 6, -24, 0, -64, 0, 0, -4, -6, 0, -36, 42, 0, -8, -48, 0, 0, -2, 0, -4, 12, 0, -28, -4, 0, 48, -60, 0, 42, -26, 0, -6, 0, 0, -28, 24, 0, 54, 0, 0, 100, 22, 0, 6, 96, 0, 160, -8, 0, 0, -12, 0, -52, -12, 0, 0, -30, 0, -4, 0, 0, -84, 48, 0, 50, 8, 0, -28, 8, 0, 56, 0, 0, 4, 48, 0, 2, -100, 0, 24, 54, 0, 44, -6, 0, 24, -108, 0, -6, 46, 0, -40, 90, 0, 8, -19, 0, 6, 32, 0, -32, -40, 0, 6, 0, 0, 36, 48, 0, -12, 6, 0, -36, 6, 0, 0, -90, 0, 24, 16, 0, 96, -6, 0, -10, -44, 0, -18, -56, 0, 62, -12, 0, 12, -24, 0, 2, 0, 0, 40, 48, 0, -56, -12, 0, 42, -24, 0, 0, 4, 0, -10, -48, 0, 68, 30, 0, 24, -4, 0, 44, -36, 0, -24, -18, 0, -16, -6, 0, 66, 0, 0, -22, 0, 0, 6, 18, 0, -24, -24, 0, 0, 0, 0, -31, -62, 0, -10, -10, 0, -72, -16, 0, 10, -24, 0, 64, 0, 0, 2, 42, 0, 72, -11, 0, 0, 60, 0, 8, -2, 0, -16, -48, 0, 0, 4, 0, -18, 20, 0, 2, -72, 0, 10, -48, 0, -32, -12, 0, 18, 42, 0, -80, -9, 0, 38, 0, 0, -18, 22, 0, -18, 84, 0, 72, 16, 0, 0, 36, 0, -52, -42, 0, 4, 120, 0, 86, 10, 0, -40, 30, 0, -140, -10, 0, 96, 12, 0, 0, 0, 0, 12, 24, 0, 144, 24, 0, 24, -4, 0, 0, 10, 0, 1, -60, 0, 92, 10, 0, 24, 24, 0, -16, -18, 0, 2, 0, 0, -6, -60, 0, -60, 0, 0, -34, -8, 0, -34, -6, 0, 12, -8, 0, 0, -30, 0, -36, 8, 0, -6, -48, 0, -52, -16, 0, 60, 24, 0, 42, 56, 0, 9, -30, 0, -16, 0, 0, -48, 64, 0, 86, 34, 0, -1, 6, 0, 0, 0, 0, -24, 12, 0, -32, -30, 0, 14, 120, 0, 8, 24, 0, 54, 48, 0, -36, 4, 0, 24, 0, 0, 20, 18, 0, -40, -24, 0, 56, 34, 0, 0, -108, 0, -36, -1, 0, 54, 24, 0, 24, -8, 0, 2, 60, 0, 136, 12, 0, 36, -4, 0, -58, 0, 0, -6, 66, 0, 40, 6, 0, 6, 0, 0, 0, 6, 0, -48, -90, 0, -60, 6, 0, -24, -24, 0, 16, 22, 0, -28, 13, 0, -64, -8, 0, 12, 0, 0, 64, -8, 0, 12, -78, 0, -28, 16, 0, 0, -48, 0, 6, -40, 0, -36, 12, 0, -10, 24, 0, 48, -12, 0, -22, -8, 0, -14, 0, 0, 50, 0, 0, -48, 18, 0, -10, 30, 0, -46, -102, 0, 0, -14, 0, 0, 72, 0, 160, -64, 0, 1, -16, 0, -64, -48, 0, -14, 48, 0, 14, 72, 0, -32, 0, 0, 2, -6, 0, 36, -24, 0, -4, 72, 0, 0, -24, 0, -76, -12, 0, 12, -28, 0, 144, -63, 0, -6, -42, 0, -4, 8, 0, -42, 84, 0, -4, 0, 0, -4, -6, 0, -24, -12, 0, 24, 60, 0, 0, -2, 0, 8, -32, 0, -88, 0, 0, -26, 12, 0, -144, -64, 0, -12, -54, 0, 40, -4, 0, 12, 66, 0, 42, 80, 0, 36, -6, 0, 20, -8, 0, 0, -4, 0, -22, -26, 0, -4, 42, 0, 14, 6, 0, -60, -72, 0, 91, -6, 0, 40, 48, 0, 24, 0, 0, 30, 60, 0, 40, 72, 0, 30, 6, 0, 0, 24, 0, -8, 24, 0, -58, 4, 0, -4, 12, 0, 144, 0, 0, -54, -84, 0, 0, 52, 0, 6, 0, 0, -28, 60, 0, 36, -28, 0, -22, -26, 0, 0, 18, 0, 88, 6, 0, -6, 120, 0, -8, 24, 0, 0, 6, 0, -6, 0, 0, 12, -24, 0, -56, 0, 0, -32, -40, 0, 32, 3, 0, -19, 108, 0, 0, 64, 0, 2, 54, 0, 8, 6, 0, 60, -18, 0, 48, -14, 0, 32, 30, 0, 0, 4, 0, -120, 0, 0, 98, -20, 0, 16, 96, 0, -80, -24, 0, 0, 72, 0, -36, -18, 0, -22, -72, 0, -12, -8, 0, -6, -90, 0, 0, 22, 0, 6, 40, 0, 64, 0, 0, -12, 12, 0, 20, -16, 0, -16, -78, 0, 0, -10, 0, 12, 72, 0, 30, 16, 0, -48, -102, 0, -4, -36, 0, -36, -24, 0, -4, -26, 0, -6, 0, 0, -8, 34, 0, 54, 48, 0, -90, 6, 0, 0, -96, 0, -24, 48, 0, 66, -36, 0]}