# Stored data for newform 9240.2.a.ce, downloaded from the LMFDB on 17 June 2024.
{"Nk2": 36960, "analytic_conductor": 73.78177146766308, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1], [7, -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": [9240, 1, [2311, 4621, 6161, 3697, 5281, 2521], [1, 1, 1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 19664, "field_disc_factorization": [[2, 4], [1229, 1]], "field_poly": [2, 2, -5, -2, 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": [[13, [40, -32, -18, 2, 1]], [17, [116, -20, -35, 2, 1]], [19, [16, -112, -23, 6, 1]], [23, [-32, 72, -35, 2, 1]], [37, [8, 48, 54, 14, 1]]], "hecke_orbit": 57, "hecke_orbit_code": 252201579166311448, "hecke_ring_generator_nbound": 17, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "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": "9240.2.a.ce", "level": 9240, "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, 7, 11], "level_radical": 2310, "minimal_twist": "9240.2.a.ce", "nf_label": "4.4.19664.1", "prim_orbit_index": 1, "qexp_display": "q+q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+\\beta _{1}q^{13}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9240.2.a", "trace_display": [0, 4, -4, 4], "trace_hash": 1356244705277542363, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.684", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "38.965", "prec": 20}, {"__RealLiteral__": 0, "data": "6.834", "prec": 17}, {"__RealLiteral__": 0, "data": "647.718", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.017", "prec": 17}, "traces": [0, 4, 0, 4, 0, -4, 0, 4, 0, 4, 0, -4, 0, -2, 0, -4, 0, -2, 0, -6, 0, 4, 0, -2, 0, 4, 0, 4, 0, 0, 0, 2, 0, -4, 0, -4, 0, -14, 0, -2, 0, -2, 0, -4, 0, -4, 0, -10, 0, 4, 0, -2, 0, -22, 0, 4, 0, -6, 0, -16, 0, -6, 0, 4, 0, 2, 0, -12, 0, -2, 0, -2, 0, 8, 0, 4, 0, -4, 0, 2, 0, 4, 0, -10, 0, 2, 0, 0, 0, -4, 0, -2, 0, 2, 0, 6, 0, 4, 0, -4, 0, 0, 0, -12, 0, -4, 0, -14, 0, -10, 0, -14, 0, -6, 0, 2, 0, -2, 0, -2, 0, 4, 0, -2, 0, -4, 0, 8, 0, -4, 0, -30, 0, -6, 0, -4, 0, -16, 0, 0, 0, -10, 0, 2, 0, 0, 0, 4, 0, -36, 0, -12, 0, -2, 0, -2, 0, -24, 0, -22, 0, -2, 0, 30, 0, 4, 0, -8, 0, -12, 0, -6, 0, -40, 0, 4, 0, -16, 0, -18, 0, 0, 0, -6, 0, 14, 0, 2, 0, 4, 0, -32, 0, -36, 0, 2, 0, -24, 0, -32, 0, -12, 0, 0, 0, 2, 0, -2, 0, 6, 0, 8, 0, -2, 0, 4, 0, 2, 0, 8, 0, -38, 0, 24, 0, 4, 0, -6, 0, 22, 0, -4, 0, -38, 0, 10, 0, 2, 0, -44, 0, 20, 0, 4, 0, -4, 0, 42, 0, -10, 0, 0, 0, 2, 0, 2, 0, -10, 0, -14, 0, 0, 0, -4, 0, 22, 0, -4, 0, -8, 0, -42, 0, -2, 0, -4, 0, -44, 0, 2, 0, 28, 0, 14, 0, 6, 0, -2, 0, 6, 0, 4, 0, -2, 0, 16, 0, -4, 0, -38, 0, -4, 0, 0, 0, 6, 0, 24, 0, -12, 0, -12, 0, 36, 0, -4, 0, -4, 0, 0, 0, -14, 0, -70, 0, -2, 0, -10, 0, -10, 0, 14, 0, -14, 0, 12, 0, -40, 0, -6, 0, -2, 0, 4, 0, 2, 0, -12, 0, 34, 0, -2, 0, 4, 0, 2, 0, -2, 0, -16, 0, 6, 0, 4, 0, -8, 0, 8, 0, -2, 0, -22, 0, 4, 0, -4, 0, 10, 0, 22, 0, 8, 0, -34, 0, 4, 0, -4, 0, -34, 0, 6, 0, -30, 0, -2, 0, -12, 0, -6, 0, 46, 0, -40, 0, -4, 0, 14, 0, 4, 0, -16, 0, -16, 0, 10, 0, 0, 0, -72, 0, -34, 0, -10, 0, -2, 0, -6, 0, 2, 0, 28, 0, 44, 0, 0, 0, -2, 0, -34, 0, 4, 0, -24, 0, 4, 0, -36, 0, 26, 0, 2, 0, -12, 0, 2, 0, 0, 0, -2, 0, 44, 0, -72, 0, -2, 0, 20, 0, -12, 0, -24, 0, 4, 0, -6, 0, -22, 0, -86, 0, -32, 0, -2, 0, -4, 0, 32, 0, 30, 0, -16, 0, 60, 0, 4, 0, -2, 0, -10, 0, -8, 0, -6, 0, 0, 0, -12, 0, -48, 0, 8, 0, -6, 0, 12, 0, 10, 0, -40, 0, 68, 0, -36, 0, 4, 0, -30, 0, -18, 0, -16, 0, -28, 0, 14, 0, -18, 0, -4, 0, -10, 0, 0, 0, 10, 0, -44, 0, -6, 0, -60, 0, 2, 0, 14, 0, -60, 0, -18, 0, 2, 0, -68, 0, 6, 0, 4, 0, 24, 0, -10, 0, -32, 0, -2, 0, 40, 0, -36, 0, -10, 0, 22, 0, 2, 0, -54, 0, 26, 0, -24, 0, -28, 0, 2, 0, -32, 0, -40, 0, 66, 0, -12, 0, -4, 0, -32, 0, 0, 0, 24, 0, -40, 0, 2, 0, 12, 0, 20, 0, -2, 0, -4, 0, 4, 0, 6, 0, 46, 0, -2, 0, 8, 0, -8, 0, -2, 0, -2, 0, 16, 0, 84, 0, 4, 0, -28, 0, 16, 0, 2, 0, -34, 0, 30, 0, 8, 0, -52, 0, 6, 0, -38, 0, 6, 0, -80, 0, 24, 0, 6, 0, 0, 0, 4, 0, 22, 0, 4, 0, -6, 0, -32, 0, 16, 0, 22, 0, 30, 0, 12, 0, -4, 0, 0, 0, 66, 0, -38, 0, 32, 0, -18, 0, 10, 0, 0, 0, -34, 0, 2, 0, 106, 0, -2, 0, -44, 0, -144, 0, -12, 0, 20, 0, 0, 0, -40, 0, 4, 0, 52, 0, -36, 0, -4, 0, 12, 0, -24, 0, 42, 0, -16, 0, 36, 0, -10, 0, -14, 0, 54, 0, 0, 0, 12, 0, -20, 0, 2, 0, 112, 0, -10, 0, 2, 0, 18, 0, 146, 0, -10, 0, -60, 0, 2, 0, -14, 0, -62, 0, 2, 0, 0, 0, 24, 0, 48, 0, -4, 0, -6, 0, 42, 0, 22, 0, 28, 0, -18, 0, -4, 0, -8, 0, 2, 0, -8, 0, -20, 0, 40, 0, -42, 0, -30, 0, -44, 0, -2, 0, 32, 0, -22, 0, -4, 0, -20, 0, -20, 0, -44, 0, -2, 0, 8, 0, 2, 0, -8, 0, 90, 0, 28, 0, 12, 0, 4, 0, 14, 0, 46, 0, 82, 0, 6, 0, 0, 0, -66, 0, -2, 0, 42, 0, 40, 0, 6, 0, -2, 0, 84, 0, 4, 0, -4, 0, 8, 0, -2, 0, 40, 0, 28, 0, 16, 0, -30, 0, 8, 0, -4, 0, 38, 0, 18, 0, -38, 0, -150, 0, 22, 0, -4, 0, 0, 0, 94, 0, 0, 0, 36, 0, 10, 0, 6, 0, -30, 0, -76, 0, 24, 0, -28, 0, -14, 0, -12, 0, 52, 0, -6, 0, -12, 0, -2, 0, 78, 0, 36, 0, 66, 0, -6, 0, -4, 0, -30, 0, -72, 0, -4, 0, 16, 0, 32, 0, 0, 0, -16, 0, 52, 0, -14, 0, 36, 0, 44, 0, -70, 0, 12, 0, 0, 0, -2, 0, 26, 0, 4, 0, -10, 0, -72, 0, 24, 0, -10, 0, -8, 0, -74, 0, 14, 0, 32, 0, -88, 0, -14, 0, 2, 0, 0, 0, 12, 0, 22, 0, 22, 0, -40, 0, 26, 0, 0, 0, -6, 0, -48, 0, 54, 0, -2, 0, -2, 0, -20, 0, 4, 0, -44, 0, 12, 0, 2, 0, -2, 0, -16, 0, -12, 0, -36, 0, -6, 0, 34, 0, 156, 0, 86, 0, -2, 0, -8, 0, -12, 0, 4, 0, 84, 0, 0, 0, 2, 0, -4, 0, 20, 0, -2, 0, -10, 0, -4, 0, -16, 0, -102, 0, -10, 0, 6, 0, -2, 0, -80, 0, 4, 0, 148, 0, 36, 0, -8, 0, 42, 0, -24, 0, 8, 0, 34, 0, 38, 0, -2, 0, 100, 0, 0, 0, -22, 0, -24, 0, -52, 0, 4, 0, 32, 0, 92, 0, -4, 0, -2, 0, -38, 0, 10, 0, 12, 0, 6, 0, 22, 0, -140, 0, 30, 0, 8, 0, -22, 0, 32, 0, -34, 0, 6, 0, 56, 0, 4, 0, 2, 0, 14, 0, -4, 0, -76, 0, 38, 0, -34, 0, -8, 0, 136, 0, 6, 0, -10, 0, 14, 0, -30, 0, 92, 0, -12, 0, -2, 0, 34, 0, 126, 0, -12, 0, 68, 0, 44, 0, -6, 0, 10, 0, 20, 0, 46, 0, -20, 0, -2, 0, -40, 0, -40, 0, -78, 0, -4, 0, 54, 0, -38, 0, 14, 0, -56, 0, 4, 0, 4, 0, 24, 0, 34, 0, -16, 0, -42, 0, -8, 0, -16, 0, 100, 0, 6, 0, 10, 0, -62, 0, -32, 0, 0, 0, -18, 0, 0, 0, -72, 0, 64, 0, 46, 0, -34, 0, -2, 0, 0, 0, -10, 0, -44, 0, 164, 0, -2, 0, -124, 0, -38, 0, -6, 0, -52, 0, 10, 0, 2, 0, 160, 0, 142, 0, 28, 0, 14, 0, 68, 0, 44, 0, 44, 0, 100, 0, 0, 0, 18, 0, 2, 0, -2, 0, 68, 0, 4, 0, -34, 0, -96, 0, 60, 0, 4, 0, -22, 0, -4, 0, -24, 0, -4, 0, -42, 0, 4, 0, -32, 0, -62, 0, -36, 0, -46, 0, 8, 0, 26, 0, 6, 0, -36, 0, 2, 0, 42, 0, -4, 0, -12, 0, 124, 0, -122, 0, 2, 0, -40, 0, -60, 0, 0, 0, 50, 0, 4, 0, -2, 0, -24, 0, -36, 0, 44, 0, 44, 0, -116, 0, -72, 0, 56, 0, -32, 0, -2, 0, -8, 0, 4, 0, 20, 0, -70, 0, -28, 0, -12, 0, -18, 0, 182, 0, -24, 0, -14, 0, 64, 0, 4, 0, 0, 0, -14, 0, -6, 0, -86, 0, 66, 0, -22, 0, -34, 0, 2, 0, -86, 0, -22, 0, 30, 0, -32, 0, -6, 0, 20, 0, -2, 0, 8, 0, 50, 0, -4, 0, -16, 0, 12, 0, 32, 0, 6, 0, 2, 0, 30, 0, -6, 0, 14, 0, -16, 0, -16, 0, 8, 0, 60, 0, 64, 0, 80, 0, 4, 0, 50, 0, -62, 0, -2, 0, -24, 0, 38, 0, -10, 0, 0, 0, 42, 0, -8, 0, 4, 0, 16, 0, -6, 0, -36, 0, -32, 0, 0, 0, 36, 0, 2, 0, -12, 0, 52, 0, -6, 0, -48, 0, 0, 0, 38, 0, 8, 0, -24, 0, -52, 0, -6, 0, -4, 0, 40, 0, 12, 0, -38, 0, 54, 0, 10, 0, 58, 0, 12, 0, -40, 0, -90, 0, 24, 0, 68, 0, -36, 0, 152, 0, -36, 0, 72, 0, -2, 0, 4, 0, -162, 0, 30, 0, -30, 0, -196, 0, 4, 0, -18, 0, -6, 0, 34, 0, -16, 0, 0, 0, 48, 0, -28, 0, 2, 0, 22, 0, 14, 0, 8, 0, 162, 0, -18, 0, -82, 0, 70, 0, -4, 0, -92, 0, 94, 0, -10, 0, 2, 0, 118, 0, 0, 0, -38, 0, 62, 0, 10, 0, -46, 0, 36, 0, -44, 0, -90, 0, 10, 0, -6, 0, -56, 0, 74, 0, -60, 0, -14, 0, -124, 0, 2, 0, 12, 0, -20, 0, 14, 0, -64, 0, -10, 0, -60, 0, -44, 0, -12, 0, -18, 0, 28, 0, -44, 0, 2, 0, 40, 0, 20, 0, -68, 0, 40, 0, 46, 0, 6, 0, -2, 0, -62, 0, 4, 0, -24, 0, 2, 0, 24, 0, 60, 0, 66, 0, -10, 0, -4, 0, -172, 0, -32, 0, 176, 0, -48, 0, -2, 0, 24, 0, 42, 0, 40, 0, -74, 0, 12, 0, -36, 0, 16, 0, -144, 0, -10, 0, -34, 0, 100, 0, 22, 0, 76, 0, 128, 0, 2, 0, 0, 0, 62, 0, -54, 0, -70, 0, -4, 0, 26, 0, 80, 0, 2, 0, -24, 0, -2, 0, -14, 0, -28, 0, 8, 0, -8, 0, 2, 0, -22, 0, -52, 0, -32, 0, -30, 0, 16, 0, -40, 0, -10, 0, 38, 0, 66, 0, -6, 0, 68, 0, -12, 0, 48, 0, -14, 0, -4, 0, 82, 0, -6, 0, -32, 0, -98, 0, 8, 0, 0, 0, -22, 0, 112, 0, 24, 0, -8, 0, 8, 0, -40, 0, -4, 0, 48, 0, 2, 0, -16, 0, 106, 0, 12, 0, 18, 0, 22, 0, 20, 0, 12, 0, 82, 0, -2, 0, -4, 0, -58, 0, -4, 0, 2, 0, -86, 0, 4, 0, -36, 0, 68, 0, 6, 0, -8, 0, -10, 0, 46, 0, -10, 0, -110, 0, -2, 0, -22, 0, -42, 0, 8, 0, 132, 0, 40, 0, -8, 0, 22, 0, 42, 0, -2, 0, 94, 0, 34, 0, -2, 0, 172, 0, -50, 0, 16, 0, -4, 0, -132, 0, 84, 0, 200, 0, -136, 0, 4, 0, -12, 0, -44, 0, -28, 0, -120, 0, 34, 0, 16, 0, -4, 0, 44, 0, 2, 0, -6, 0, -52, 0, -34, 0, 58, 0, 172, 0, 30, 0, 28, 0, 18, 0, 8, 0, 14, 0, 2, 0, -52, 0, -120, 0, 14, 0, 6, 0, 12, 0, -88, 0, -38, 0, 0, 0, 76, 0, 6, 0, -182, 0, -18, 0, -80, 0, -66, 0, -46, 0, 24, 0, -2, 0, 66, 0, 6, 0, 40, 0, 62, 0, 0, 0, 234, 0, 6, 0, 4, 0, 142, 0, 98, 0, 22, 0, 34, 0, -14, 0, 4, 0, -46, 0, -46, 0, -6, 0, -4, 0, 36, 0, -32, 0, -2, 0, 8, 0, 16, 0, -2, 0, -14, 0, 22, 0, -36, 0, 16, 0, 30, 0, -22, 0, 2, 0, 12, 0, -10, 0, 52, 0, -4, 0, -8, 0, 98, 0, 0, 0, -86, 0, -46, 0, 66, 0, -38, 0, 72, 0, -38, 0, 60, 0, 32, 0, 32, 0, 34, 0, -4, 0, -18, 0, 28, 0, 188, 0, 10, 0, 116, 0, -64, 0, 0, 0, 36, 0, 2, 0, -34, 0, -8, 0, 40, 0, 2, 0, 6, 0, -30, 0, 106, 0, 0, 0, -38, 0, -2, 0, 62, 0, 24, 0, -44, 0, -72, 0, -28, 0, -144, 0, -184, 0, -32, 0, -12, 0, -44, 0, 24, 0, 20, 0, 4, 0, -90, 0, 0, 0, -12, 0, -12, 0, -40, 0, 46, 0, 2, 0, 4, 0, 32, 0, 36, 0, 52, 0, 34, 0, 32, 0, -36, 0, 92, 0, 12, 0, -4, 0, 26, 0, 84, 0, 12, 0, -90, 0, 24, 0, -24, 0, -4, 0, -6, 0, 42, 0, -4, 0, -14, 0, -16, 0, -44, 0, 0, 0, 36, 0, -8, 0, 66, 0, -10, 0, -40, 0, -26, 0, -14, 0, 88, 0, 168, 0, 54, 0, -2, 0, -18, 0, 0, 0, -70, 0, 0, 0, 12, 0, -64, 0, 90, 0, -20, 0, 44, 0, -2, 0, 2, 0, 276, 0, 110, 0, 112, 0, 0, 0, -142, 0, -10, 0, -18, 0, -42, 0, 2, 0, 94, 0, -6, 0, 18, 0, -10, 0, -44, 0, 146, 0, 158, 0, 4, 0, -10, 0, 72, 0, 14, 0, -60, 0, -8, 0, 36, 0, 2, 0, 116, 0, -60, 0, -14, 0, -114, 0, -20, 0, -62, 0, -132, 0, 66, 0, 2, 0, 12, 0, -30, 0, 0, 0, 160, 0, 20, 0, 24, 0, -50, 0, -40, 0, 48, 0, 32, 0, -4, 0, -4, 0, 72, 0, -2, 0, -6, 0, 6, 0, -24, 0, 42, 0, 78, 0, 90, 0, 22, 0, -2, 0, 76, 0, 28, 0, 26, 0, 86, 0, -18, 0, 136, 0, 4, 0, -4, 0, 32, 0, 176, 0, -8, 0, 114, 0, 168, 0, 2, 0, -28, 0, 62, 0, -8, 0, -34, 0, 4, 0, -20, 0, -12, 0, 38, 0, 40, 0, -32, 0, -80, 0, -42, 0, -56, 0, 34, 0, -30, 0, 168, 0, 148, 0, -44, 0, -24, 0, 16, 0, -2, 0, -120, 0, -78, 0, 32, 0, -60, 0, 0, 0, -22, 0, 4, 0, 152, 0, -4, 0, -134, 0, -36, 0, -20, 0, -24, 0, 2, 0, -20, 0, 74, 0, 298, 0, -44, 0, 10, 0, 6, 0, -2, 0, 10, 0, -40, 0, 8, 0, -126, 0, 76, 0, 2, 0, -16, 0, 6, 0, -8, 0, -22, 0, 54, 0, 90, 0, 0, 0, 6, 0, 28, 0, 60, 0, 8, 0, 12, 0, -106, 0, -124, 0, 4, 0, 132, 0, 48, 0, 14, 0, 48, 0, 10, 0, 46, 0, -8, 0, -230, 0, 82, 0, 32, 0, 38, 0, 6, 0, -124, 0, 8, 0, 0, 0, -38, 0, -12, 0, -66, 0, -64, 0, -70, 0, -2, 0, -10, 0, 64, 0, 42, 0, -120, 0, 116, 0, 40, 0, -22, 0, 74, 0, 6, 0, 92, 0, -68, 0, -2, 0, 198, 0, 4, 0, 84, 0, 36, 0, 10, 0, 4, 0, -120, 0, 16, 0, -4, 0, 36, 0, 44, 0, 8, 0, 126, 0, 30, 0, -2, 0, 10, 0, -32, 0, 40, 0, 18, 0, -48, 0, 28, 0, -20, 0, 22, 0, 16, 0, -130, 0, 22, 0, -30, 0, 38, 0, 28, 0, 8, 0, 108, 0, 22, 0, -4, 0, -14, 0, 60, 0, 38, 0, -34, 0, 68, 0, 18, 0, -12, 0, 50, 0, -38, 0, 52, 0, 4, 0, -150, 0, 118, 0, 40, 0, 22, 0, 10, 0, 44, 0, -4, 0, 108, 0, 36, 0, 0, 0, -42, 0, -56, 0, 94, 0, -34, 0, -10, 0, 0, 0, 124, 0, 102, 0, 36, 0, 44, 0, 6, 0, 10, 0, 220, 0, -4, 0, 6, 0, -124, 0, 50, 0, -30, 0, -150, 0, 60, 0, -76, 0, 66, 0, 0, 0, 24, 0, -2, 0, -20, 0, -28, 0, -2, 0, -74, 0, -14, 0, 218, 0, -12, 0, -12, 0, -2, 0, 60, 0, 52, 0, -126, 0, -86, 0, -6, 0, 18, 0, -74, 0, -12, 0, 72, 0, 200, 0, -2, 0, 46, 0, 182, 0, 78, 0, -178, 0, 68, 0, 36, 0, -36, 0, -40, 0, 66, 0, -6, 0, 10, 0, -6, 0, 64, 0, -116, 0, -4, 0, -14, 0, 72, 0, -30, 0, -68, 0, -24, 0, -72, 0, 14, 0, 138, 0, -4, 0, 10, 0, -108, 0, 16, 0, 92, 0, 4, 0, 32, 0, 30, 0, 148, 0, 0, 0, 74, 0, 2, 0, -16, 0, 20, 0, -88, 0, 52, 0, -40, 0, 192, 0, -14, 0, -16, 0, 4, 0, 36, 0, -138, 0, -178, 0, 44, 0, -48, 0, 10, 0, -70, 0, -70, 0, 48, 0, 12, 0, -22, 0, 52, 0, 0, 0, 20, 0, 12, 0, -2, 0, -130, 0, -256, 0, 26, 0, -72, 0, 54, 0, 4, 0, 150, 0, 52, 0, -10, 0, -26, 0, -34, 0, -72, 0, 110, 0, 284, 0, 24, 0, 158, 0, 8, 0, -10, 0, -158, 0, 28, 0, -8, 0, 20, 0, 172, 0, -74, 0, -2, 0, -176, 0, 14, 0, 42, 0, -60, 0, 32, 0, 46, 0, -6, 0, -88, 0, 144, 0, 40, 0, -14, 0, -10, 0, -4, 0, 2, 0, -66, 0, -34, 0, 0, 0, -200, 0, 122, 0, 12, 0, 28, 0, -6, 0, 22, 0, -86, 0, 4, 0, 22, 0, 28, 0, 44, 0, -40, 0, 32, 0, -40, 0, 26, 0, -8, 0, -202, 0, 0, 0, 44, 0, 106, 0, -6, 0, -130, 0, -24, 0, -48, 0, -2, 0, -274, 0, 54, 0, 40, 0, -108, 0, -2, 0, 142, 0, -34, 0, -2, 0, 52, 0, -108, 0, -20, 0, -54, 0, -12, 0, 4, 0, 70, 0, -28, 0, -44, 0, -20, 0, -58, 0, 12, 0, -24, 0, 146, 0, 2, 0, 70, 0, 38, 0, -2, 0, -14, 0, 4, 0, -16, 0, -24, 0, 10, 0, -12, 0, -4, 0, -24, 0, -36, 0, 140, 0, 48, 0, -6, 0, -6, 0, -60, 0, 34, 0, 26, 0, -46, 0, 156, 0, 76, 0, 76, 0, 86, 0, 2, 0, 2, 0, -2, 0, 282, 0, -32, 0, -8, 0, 178, 0, -54, 0, -12, 0, -56, 0, 8, 0, 4, 0, -6, 0, 26, 0, 84, 0, 2, 0, -288, 0, 0, 0, 44, 0, 58, 0, 2, 0, -168, 0, 0, 0, -4, 0, -8, 0, -16, 0, 20, 0, -114, 0, -50, 0, -2, 0, -84, 0, -34, 0, -10, 0, 84, 0, 2, 0, -4, 0, 44, 0, -144, 0, -16, 0, 82, 0, 28, 0, -102, 0, 64, 0, -72, 0, -10, 0, -16, 0, 48, 0, 6, 0, -58, 0, -44, 0, -2, 0, -202, 0, 134, 0, -80, 0, -88, 0, 34, 0, 4, 0, 20, 0, 120, 0, 148, 0, -30, 0, 48, 0, 36, 0, 24, 0, -12, 0, -8, 0, 28, 0, 38, 0, 42, 0, 14, 0, 52, 0, -24, 0, -4, 0, -142, 0, 8, 0, -6, 0, 114, 0, 34, 0, 4, 0, -60, 0, 38, 0, -128, 0, -106, 0, -2, 0, 38, 0, -6, 0, 100, 0, -44, 0, 32, 0, 0, 0, 80, 0, -124, 0, -22, 0, -92, 0, -136, 0, -24, 0, -198, 0, -4, 0, -52, 0, -86, 0, -6, 0, 4, 0, -120, 0, -140, 0, 32, 0, 0, 0, -32, 0, 92, 0, 90, 0, -104, 0, -4, 0, -24, 0, -208, 0, -2, 0, 64, 0, -22, 0, -38, 0, -110, 0, 76, 0, 10, 0, -4, 0, -286, 0, 12, 0, 238, 0, 218, 0, 6, 0, 114, 0, 32, 0, 22, 0, -130, 0, 32, 0, -140, 0, -56, 0, 12, 0, 30, 0, -16, 0, 88, 0, 8, 0, -176, 0, 112, 0, -22, 0, -16, 0, -52, 0, 32, 0, -36, 0, -30, 0, -34, 0, -288, 0, 60, 0, 6, 0, -12, 0, 8, 0, 56, 0, 152, 0, -116, 0, 4, 0, 114, 0, -86, 0, 2, 0, -196, 0, 0, 0, 14, 0, -2, 0, -110, 0, -4, 0, -66, 0, 4, 0, -76, 0, -56, 0, -10, 0, 38, 0, 62, 0, 98, 0, -34, 0, 130, 0, -32, 0, -8, 0, 0, 0, -18, 0, 136, 0, 18, 0, -236, 0, 6, 0, -6, 0, -86, 0, -10, 0, 54, 0, 78, 0, 14, 0, 92, 0, 0, 0, -30, 0, -24, 0, -144, 0, 92, 0, 34, 0, 12, 0, -12, 0, 44, 0, 70, 0, -2, 0, 90, 0, 70, 0, 34, 0, -48, 0, -106, 0, 126, 0, 8, 0, -20, 0, -12, 0, 2, 0, 8, 0, 68, 0, -56, 0, -94, 0, 44, 0, 64, 0, -62, 0, -6, 0, 96, 0, 144, 0, 10, 0, 36, 0, 120, 0, 20, 0, 12, 0, 4, 0, 46, 0, 32, 0, -46, 0, -20, 0, 2, 0, 10, 0, -2, 0, -190, 0, 0, 0, -40, 0, 16, 0, 24, 0, -40, 0, 40, 0, -244, 0, -78, 0, -14, 0, 146, 0, -4, 0, 68, 0, -34, 0, 54, 0, -72, 0, -52, 0, -38, 0, -12, 0, -36, 0, 14, 0, 36, 0, 48, 0, -56, 0, 50, 0, 148, 0, 4, 0, -234, 0, 120, 0, 4, 0, -190, 0, -12, 0, 24, 0, -30, 0, 16, 0, 34, 0, 24, 0, -248, 0, -16, 0, 176, 0, -18, 0, -42, 0, 40, 0, 88, 0, -8, 0, -244, 0, 16, 0, -16, 0, 94, 0, -162, 0, 100, 0, -36, 0, 120, 0, 6, 0, -28, 0, -156, 0, 10, 0, -68, 0, -180, 0, -62, 0, 52, 0, 14, 0, -32, 0, 70, 0, 2, 0, 0, 0, -54, 0, -12, 0, -18, 0, -112, 0, -150, 0, 0, 0, -72, 0, -232, 0, -72, 0, -4, 0, -12, 0, 64, 0, -260, 0, 0, 0, 46, 0, 20, 0, -10, 0, -34, 0, 288, 0, -56, 0, -2, 0, -76, 0, -150, 0, 0, 0, -158, 0, -112, 0, -10, 0, 294, 0, 110, 0, -44, 0, 10, 0, 12, 0, 164, 0, 36, 0, -28, 0, -2, 0, -26, 0, -44, 0, -124, 0, -56, 0, -18, 0, -38, 0, -34, 0, -64, 0, -6, 0, -146, 0, -144, 0, -52, 0, -210, 0, -28, 0, 10, 0, -60, 0, -38, 0, 2, 0, 134, 0, 60, 0, 160, 0, -164, 0, 2, 0, 142, 0, -2, 0, -24, 0, 28, 0, 128, 0, -4, 0, 14, 0, -62, 0, -168, 0, 68, 0, 58, 0, 62, 0, 44, 0, -60, 0, -154, 0, 44, 0, -2, 0, -132, 0, 100, 0, -106, 0, -18, 0, 0, 0, -104, 0, 110, 0, 18, 0, -118, 0, -24, 0, 2, 0, 60, 0, 130, 0, -2, 0, -48, 0, 130, 0, 68, 0, -68, 0, 106, 0, 4, 0, 44, 0, 16, 0, -34, 0, 64, 0, 6, 0, -96, 0, 0, 0, 38, 0, 60, 0, -42, 0, -174, 0, 4, 0, -6, 0, -140, 0, -22, 0, -222, 0, -148, 0, -4, 0, 24, 0, -28, 0, -24, 0, -26, 0, -148, 0, -4, 0, 18, 0, -10, 0, -42, 0, 52, 0, -70, 0, 4, 0, 122, 0, -80, 0, -32, 0, 24, 0, 8, 0, -62, 0, -146, 0, 6, 0, -36, 0, -2, 0, -190, 0, -46, 0, 164, 0, -24, 0, 8, 0, -8, 0, 40, 0, 26, 0, 56, 0, 20, 0, 6, 0, 20, 0, -116, 0, -36, 0, -40, 0, -298, 0, 2, 0, 160, 0, 36, 0, 42, 0, -10, 0, -66, 0, -4, 0, 30, 0, 30, 0, -12, 0, -60, 0, 22, 0, 124, 0, 44, 0, 28, 0, -122, 0, 22, 0, 20, 0, 2, 0, -72, 0, -108, 0, -40, 0, -4, 0, -32, 0, -60, 0, -54, 0, -172, 0, 0, 0, 22, 0, 6, 0, 50, 0, 32, 0, 26, 0, 4, 0, 302, 0, 50, 0, -2, 0, -168, 0, 20, 0, -24, 0, -12, 0, -220, 0, -36, 0, 20, 0, -10, 0, 44, 0, -28, 0, -148, 0, 44, 0, 26, 0, -154, 0, -116, 0, -92, 0, 2, 0, -72, 0, -22, 0, 322, 0, 56, 0, -8, 0, 56, 0, -32, 0, 30, 0, 14, 0, -2, 0, -314, 0, 58, 0, -8, 0, -40, 0, 8, 0, 4, 0, 122, 0, -14, 0, 20, 0, -90, 0, 66, 0, -70, 0, -2, 0, 34, 0, -28, 0, 32, 0, -162, 0, -12, 0, 118, 0, -12, 0, -18, 0, -60, 0, 114, 0, 182, 0, -4, 0, -336, 0, -24, 0, -90, 0, -260, 0, -14, 0, 128, 0, -32, 0, 64, 0, 104, 0, -46, 0, 4, 0, -72, 0, -20, 0, 0, 0, -82, 0, -16, 0, -14, 0, -70, 0, 40, 0, -6, 0, 24, 0, 34, 0, -86, 0, -170, 0, 0, 0, 66, 0, 70, 0, -40, 0, -22, 0, 66, 0, -268, 0, -34, 0, -6, 0, 22, 0, 2, 0, 12, 0, -268, 0, -86, 0, 50, 0, -42, 0, -22, 0, 12, 0, -268, 0, 30, 0, -40, 0, 6, 0, -32, 0, -58, 0, 20, 0, -6, 0, -26, 0, 4, 0, 20, 0, -8, 0, 2, 0, -2, 0, -200, 0, -102, 0, 8, 0, -84, 0, -44, 0, 50, 0, -4, 0, 68, 0, -4, 0, 12, 0, 106, 0, -16, 0, -326, 0, 4, 0, 12, 0, 176, 0, -118, 0, 32, 0, -8, 0, 68, 0, 6, 0, -40, 0, 64, 0, 2, 0, -92, 0, -54, 0, 30, 0, 46, 0, -40, 0, -6, 0, 56, 0, -46, 0, 14, 0, -28, 0, -2, 0, -16, 0, 212, 0, 64, 0, -16, 0, 38, 0, -70, 0, 8, 0, 40, 0, 30, 0, 60, 0, -104, 0, -106, 0, 64, 0, -8, 0, -136, 0, 80, 0, 236, 0, -44, 0, 4, 0, 118, 0, -2, 0, 50, 0, -186, 0, -38, 0, -62, 0, 156, 0, -4, 0, -2, 0, -18, 0, -14, 0, -24, 0, 16, 0, -72, 0, 38, 0, 16, 0, 60, 0, -10, 0, -234, 0, 150, 0, 0, 0, -4, 0, 84, 0, 42, 0, -22, 0, -242, 0, -8, 0, 64, 0, -60, 0, 4, 0, -176, 0, 16, 0, 16, 0, -72, 0, 0, 0, -6, 0, -28, 0, -12, 0, -36, 0, -94, 0, -154, 0, -32, 0, 52, 0, 16, 0, 0, 0, -14, 0, 136, 0, 36, 0, 182, 0, -36, 0, 2, 0, 370, 0, -180, 0, -12, 0, -10, 0, -186, 0, 52, 0, -34, 0, -228, 0, -6, 0, -128, 0, 32, 0, -48, 0, -34, 0, 30, 0, 0, 0, -12, 0, -118, 0, 38, 0, 76, 0, 128, 0, 8, 0, -98, 0, 118, 0, -24, 0, 198, 0, 72], "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, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [-1, -1, 0, -1], [0, 0, 0, 0], [-1, 1, 0, 1], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-1, -1, 0, 1], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, -2], [0, 0, 0, 0], [0, -1, 0, 2], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [-4, -1, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [-1, -1, -1, -1], [0, 0, 0, 0], [-1, 0, 2, -1], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [-2, 1, 2, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-1, -1, 0, -1], [0, 0, 0, 0], [-5, 1, 2, -1], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-1, 1, 0, 1], [0, 0, 0, 0], [-4, 0, -1, 0], [0, 0, 0, 0], [-1, 1, 0, -1], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [-2, 2, 0, 2], [0, 0, 0, 0], [-1, -1, 0, 1], [0, 0, 0, 0], [-1, -1, -1, 1], [0, 0, 0, 0], [1, -2, -1, -1], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [0, -1, -2, 2], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-4, -3, -1, -2], [0, 0, 0, 0], [1, 1, 0, 1], [0, 0, 0, 0], [0, 0, -1, -2], [0, 0, 0, 0], [-1, 0, 0, 1], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, -1, 0, 2], [0, 0, 0, 0], [1, -1, 0, -1], [0, 0, 0, 0], [2, 2, 3, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 0]]}