# Stored data for newform 9126.2.a.k, downloaded from the LMFDB on 12 April 2026.
{"Nk2": 36504, "analytic_conductor": 72.87147688462048, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -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": [9126, 1, [677, 3889], [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, [0, 1]], [11, [6, 1]], [17, [-6, 1]]], "hecke_orbit": 11, "hecke_orbit_code": 45035996307268518, "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": "9126.2.a.k", "level": 9126, "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, 13], "level_radical": 78, "minimal_twist": "702.2.b.b", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{4}-q^{8}-6q^{11}+q^{16}+6q^{17}+\\cdots", "related_objects": ["EllipticCurve/Q/9126/k"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9126.2.a", "trace_display": [-1, 0, 0, 0], "trace_hash": 80700699127977118, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.971", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.904", "prec": 17}, {"__RealLiteral__": 0, "data": "0.003", "prec": 17}, {"__RealLiteral__": 0, "data": "4.679", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.024", "prec": 17}, "traces": [0, 1, -1, 0, 1, 0, 0, 0, -1, 0, 0, -6, 0, 0, 0, 0, 1, 6, 0, 3, 0, 0, 6, 6, 0, -5, 0, 0, 0, 9, 0, -6, -1, 0, -6, 0, 0, -9, -3, 0, 0, 3, 0, -8, -6, 0, -6, -3, 0, -7, 5, 0, 0, -6, 0, 0, 0, 0, -9, 0, 0, -8, 6, 0, 1, 0, 0, 12, 6, 0, 0, 3, 0, 6, 9, 0, 3, 0, 0, 1, 0, 0, -3, 6, 0, 0, 8, 0, 6, 15, 0, 0, 6, 0, 3, 0, 0, -12, 7, 0, -5, -3, 0, 13, 0, 0, 6, -3, 0, -15, 0, 0, 0, 12, 0, 0, 9, 0, 0, 0, 0, 25, 8, 0, -6, 0, 0, 11, -1, 0, 0, -12, 0, 0, -12, 0, -6, -9, 0, 14, 0, 0, -3, 0, 0, 0, -6, 0, -9, -6, 0, 12, -3, 0, 0, 0, 0, -4, -1, 0, 0, 0, 0, -9, 3, 0, -6, -15, 0, 0, 0, 0, -8, -21, 0, 0, -6, 0, -15, 3, 0, -2, 0, 0, -6, 0, 0, -36, -3, 0, 0, 12, 0, -12, 12, 0, -7, -18, 0, -7, 5, 0, 3, 0, 0, 0, -13, 0, 0, -18, 0, -14, -6, 0, 3, 0, 0, 0, 15, 0, 0, 0, 0, 12, 0, 0, -12, 12, 0, -6, 0, 0, -9, -6, 0, 0, 0, 0, 0, -9, 0, -18, -25, 0, -8, 0, 0, 0, 6, 0, 0, -3, 0, -36, -11, 0, 1, -12, 0, 0, 0, 0, 12, 6, 0, 0, 0, 0, 12, 18, 0, 24, 6, 0, 9, 30, 0, -26, -14, 0, 0, 21, 0, 14, 3, 0, 0, 0, 0, 19, 0, 0, 6, 30, 0, 0, 9, 0, 6, 0, 0, 0, -12, 0, 3, 0, 0, -9, 0, 0, 0, -18, 0, -17, 4, 0, 1, -24, 0, -54, 0, 0, 0, 18, 0, 0, 9, 0, -3, 0, 0, -15, 6, 0, 15, 0, 0, -31, 0, 0, 0, 36, 0, 0, 8, 0, 21, -12, 0, -9, 0, 0, 6, -6, 0, 0, 15, 0, -3, -24, 0, -10, 2, 0, 0, 0, 0, 17, 6, 0, 0, 0, 0, 4, 36, 0, 3, 0, 0, 36, 0, 0, -12, -24, 0, 0, 12, 0, -12, -15, 0, 36, 7, 0, 18, 0, 0, -21, 7, 0, -5, -6, 0, 0, -3, 0, 0, 54, 0, -36, 0, 0, 13, 0, 0, 0, 0, 0, 18, 33, 0, 9, 14, 0, 6, -30, 0, 0, -3, 0, 0, -21, 0, 11, 0, 0, -15, 18, 0, -35, 0, 0, 0, -12, 0, 0, -12, 0, 0, -6, 0, -18, 12, 0, -12, 0, 0, 6, 6, 0, 0, -30, 0, 24, 9, 0, 6, -15, 0, 0, 0, 0, 0, 48, 0, -15, 0, 0, 9, 0, 0, 0, 18, 0, 25, 0, 0, 6, 8, 0, 0, -9, 0, 54, 0, 0, -6, 0, 0, -36, 0, 0, 3, 12, 0, 0, 36, 0, 11, 0, 0, 0, -1, 0, 12, 0, 0, 18, 0, 0, 0, -18, 0, -16, -12, 0, -6, -36, 0, 13, 0, 0, 0, 0, 0, 0, -12, 0, -18, 42, 0, 18, -24, 0, -6, 0, 0, -28, -9, 0, -30, 27, 0, 0, 26, 0, 14, 6, 0, 0, 0, 0, -21, 33, 0, 0, -14, 0, -3, 0, 0, -22, 0, 0, 0, -30, 0, -30, -19, 0, 0, 0, 0, 36, -6, 0, -30, -18, 0, -18, 0, 0, -9, -42, 0, 0, -6, 0, 0, -12, 0, -35, 0, 0, 12, 0, 0, -31, -3, 0, 0, 0, 0, -15, 9, 0, 0, 21, 0, -3, 0, 0, 18, 0, 0, 25, 17, 0, -4, -54, 0, -18, -1, 0, 24, 0, 0, 0, 54, 0, 0, 0, 0, -9, 0, 0, -18, -48, 0, 0, 0, 0, -9, -9, 0, 0, 3, 0, 0, 36, 0, 21, 15, 0, -6, 0, 0, 54, -15, 0, 0, 48, 0, 1, 31, 0, 0, -18, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -8, 0, 0, -12, -21, 0, 12, 0, 0, 18, 9, 0, 0, -6, 0, -27, -6, 0, 6, 0, 0, -21, 0, 0, -15, -36, 0, 0, 3, 0, 24, -18, 0, 0, 10, 0, -2, -45, 0, 8, 0, 0, 0, -48, 0, -21, -17, 0, -6, -72, 0, -51, 0, 0, 0, 48, 0, 0, -4, 0, -36, 0, 0, 4, -3, 0, 0, 0, 0, 16, -36, 0, 0, 15, 0, 0, 12, 0, 24, 0, 0, 24, 0, 0, -12, 24, 0, 30, 12, 0, 15, 9, 0, -18, -36, 0, -7, 0, 0, 51, -18, 0, 0, 0, 0, 0, 21, 0, -7, -27, 0, -18, 5, 0, 6, -36, 0, 0, 0, 0, 3, 6, 0, -12, 0, 0, -54, 0, 0, -24, 36, 0, 0, 48, 0, 40, -13, 0, 0, -48, 0, 20, 0, 0, 0, -42, 0, 0, -18, 0, -33, 33, 0, 52, -9, 0, -14, 0, 0, 0, -6, 0, 30, -54, 0, 6, 0, 0, 3, -18, 0, 22, 0, 0, 21, -36, 0, 0, -11, 0, 0, -6, 0, 0, 15, 0, -18, 0, 0, 18, 35, 0, 0, -30, 0, -34, 0, 0, 12, -30, 0, 0, 0, 0, 12, -9, 0, 0, 0, 0, 6, -54, 0, -36, 18, 0, -12, 0, 0, -10, 12, 0, 0, 48, 0, -36, -6, 0, -6, 0, 0, 7, 0, 0, 30, 0, 0, 45, -24, 0, -9, 18, 0, -21, -6, 0, 15, 0, 0, 43, 0, 0, 0, 54, 0, 18, 0, 0, -48, 18, 0, 0, 15, 0, 0, 54, 0, 0, -9, 0, 0, 0, 0, 5, 0, 0, -18, 0, 0, 42, -25, 0, 0, -9, 0, 0, -6, 0, -8, 33, 0, -90, 0, 0, 9, 9, 0, 0, -54, 0, 0, -48, 0, 56, 6, 0, 0, 0, 0, -46, 36, 0, 0, 0, 0, 0, -3, 0, -12, -18, 0, -6, 0, 0, -36, -9, 0, 0, -11, 0, 0, 36, 0, 9, 0, 0, 1, -15, 0, 0, -12, 0, 0, 24, 0, 54, -18, 0, 0, -48, 0, -5, 0, 0, 18, 0, 0, 0, 16, 0, 12, -54, 0, -57, 6, 0, 36, 0, 0, 0, -13, 0, 0, -24, 0, 16, 0, 0, 0, 72, 0, 10, 0, 0, 12, -81, 0, 40, 18, 0, -42, 0, 0, -18, -18, 0, 24, 0, 0, 18, 6, 0, 0, -48, 0, 4, 28, 0, 9, -33, 0, 0, 30, 0, -27, 9, 0, 0, 0, 0, -26, -3, 0, 18, -14, 0, -6, 0, 0, -2, 0, 0, 0, 0, 0, 0, 21, 0, -33, -42, 0, 12, 0, 0, 14, -78, 0, 0, 3, 0, 0, 72, 0, 0, 22, 0, 0, 0, 0, 54, 0, 0, 30, 12, 0, -25, 30, 0, 19, 0, 0, -24, 0, 0, 0, 30, 0, 0, -36, 0, 6, 0, 0, -52, 30, 0, 18, 15, 0, 18, 18, 0, 0, 66, 0, 0, 9, 0, 42, 63, 0, 27, 0, 0, 6, 36, 0, 0, 0, 0, 12, 90, 0, -30, 35, 0, 0, 0, 0, 18, -12, 0, 0, 0, 0, -10, 31, 0, 3, -9, 0, -36, 0, 0, 0, 0, 0, 35, 15, 0, -9, -12, 0, 8, 0, 0, -21, 0, 0, -21, 3, 0, 0, 36, 0, -72, -18, 0, 0, -72, 0, -1, -25, 0, -17, 0, 0, 0, 4, 0, 54, 0, 0, 0, 18, 0, 1, 0, 0, 0, -24, 0, 0, -18, 0, 36, 0, 0, -54, 3, 0, 30, 0, 0, 0, 27, 0, 0, 9, 0, 0, 39, 0, 50, 18, 0, 48, 0, 0, 11, 0, 0, 0, -42, 0, -53, 9, 0, 9, 54, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -36, -24, 0, -60, -21, 0, -15, 30, 0, -32, 6, 0, 0, -84, 0, 48, -54, 0, 15, 0, 0, 0, 0, 0, -48, 6, 0, 0, -1, 0, -31, 9, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -27, 36, 0, 0, -57, 0, 44, 0, 0, 0, 42, 0, 0, 8, 0, 0, 0, 0, -22, 12, 0, 21, 0, 0, 18, -12, 0, 0, 0, 0, 0, -18, 0, -9, -66, 0, -18, 0, 0, 6, -48, 0, 0, 27, 0, 6, 30, 0, 36, -6, 0, 0, 0, 0, 0, 21, 0, 0, -63, 0, -48, 15, 0, 36, -36, 0, -26, 0, 0, -3, 30, 0, 0, -24, 0, 18, 30, 0, 72, 0, 0, -10, 0, 0, -19, 2, 0, 45, 0, 0, -32, -8, 0, 0, 18, 0, -70, 0, 0, 48, 0, 0, 0, 21, 0, 17, 0, 0, -66, 6, 0, 72, 0, 0, 0, 51, 0, 0, 30, 0, 26, 0, 0, -48, -21, 0, -42, 0, 0, 4, -24, 0, 0, 36, 0, 0, 51, 0, 3, -4, 0, 3, 0, 0, 54, 0, 0, 0, -24, 0, 90, -16, 0, 36, -27, 0, 42, 0, 0, -15, 6, 0, 40, 0, 0, -12, -84, 0, 56, -24, 0, 0, 0, 0, -54, -24, 0, 0, 72, 0, 4, 12, 0, -24, 0, 0, 33, -30, 0, -12, -21, 0, 0, -15, 0, -9, -6, 0, 0, 18, 0, 36, 0, 0, 30, 7, 0, 0, -24, 0, 0, -51, 0, 18, 18, 0, -51, 0, 0, 0, 6, 0, 0, 0, 0, -21, 0, 0, 72, 7, 0, 27, 0, 0, 9, 18, 0, -5, 18, 0, 0, -6, 0, 36, 21, 0, -19, 0, 0, 0, -39, 0, 0, -3, 0, -6, 6, 0, -56, 12, 0, 0, 0, 0, -48, 54, 0, 0, 0, 0, 18, 24, 0, -36, 15, 0, 36, 0, 0, -48, 36, 0, 0, -40, 0, 13, -72, 0, 0, 0, 0, 48, 0, 0, 78, -20, 0, 0, -72, 0, 8, 0, 0, 42, -75, 0, 39, 0, 0, 18, 0, 0, -60, 33, 0, -33, 36, 0, -32, -52, 0, 9, 0, 0, 0, 14, 0, 0, 45, 0, 56, 0, 0, 6, 33, 0, -26, -30, 0, 54, 0, 0, 0, -6, 0, 0, 18, 0, 0, -3, 0, 18, 0, 0, -18, -22, 0, 0, -3, 0, 57, -21, 0, 36, 24, 0, 0, 0, 0, 11, -45, 0, 0, 0, 0, 6, 27, 0, -58, 0, 0, -15, 0, 0, 9, 18, 0, 0, 78, 0, 48, -18, 0, -35, 0, 0, -41, 0, 0, 30, -24, 0, 0, 34, 0, 0, -72, 0, 0, -12, 0, 30, -15, 0, -41, 0, 0, 0, 0, 0, -48, -12, 0, 9, 0, 0, -30, 0, 0, 0, 54, 0, 0, -6, 0, 54, 0, 0, 66, 36, 0, -18, 0, 0, 0, 12, 0, 0, -63, 0, 63, 10, 0, -12, 6, 0, -18, 0, 0, -48, -60, 0, -30, 36, 0, 6, 0, 0, -30, 6, 0, 0, 0, 0, 90, -7, 0, 0, 0, 0, -36, -30, 0, 0, -42, 0, 21, -45, 0, 24, -90, 0, 0, 9, 0, -18, 0, 0, -15, 21, 0, 6, 0, 0, -15, -15, 0, 0, 42, 0, 43, -43, 0, 0, 36, 0, -12, 0, 0, -54, 0, 0, 0, -18, 0, 0, -48, 0, 48, 48, 0, -18, 0, 0, 0, 0, 0, -15, -39, 0, 126, 0, 0, -54, 60, 0, 36, 0, 0, 9, 39, 0, 0, 0, 0, 0, -9, 0, 72, -5, 0, 0, 0, 0, -9, 18, 0, 0, -48, 0, 80, -42, 0, 25, 0, 0, 0, 0, 0, 9, 108, 0, 0, 0, 0, 6, 30, 0, 35, 8, 0, -33, 0, 0, 39, 90, 0, 0, 54, 0, 0, -9, 0, -9, 0, 0, -18, 0, 0, 54, 18, 0, -5, 0, 0, 48, 33, 0, 0, -56, 0, -6, 0, 0, 12, 0, 0, 0, 12, 0, -41, 46, 0, -36, 78, 0, -11, 0, 0, 0, 45, 0, 0, 0, 0, 3, -21, 0, -58, 12, 0, 18, 0, 0, -30, 6, 0, 0, 24, 0, 0, 36, 0, 9, -3, 0, -58, 0, 0, 11, -9, 0, 0, 0, 0, -36, 15, 0, 0, -9, 0, 0, 0, 0, 90, -1, 0, 15, 0, 0, -16, 0, 0, 12, 150, 0, 27, 0, 0, -24, -6, 0, 0, -54, 0, 18, -66, 0, -45, 0, 0, 48, -30, 0, -72, 5, 0, 0, -72, 0, 58, -18, 0, 0, -63, 0, 43, 0, 0, -16, 0, 0, 0, -12, 0, 54, -90, 0, -72, 57, 0, -6, 0, 0, 56, -36, 0, 0, -63, 0, -6, 0, 0, 13, 54, 0, 0, 0, 0, 24, 72, 0, 0, -16, 0, 0, 84, 0, 82, 0, 0, -72, 0, 0, 66, -10, 0, 0, 15, 0, 24, -12, 0, 81, 36, 0, 0, -40, 0, -18, 45, 0, 0, 42, 0, 0, 66, 0, 43, 18, 0, 18, 0, 0, 108, -24, 0, 0, 0, 0, -18, -18, 0, -6, 0, 0, -9, 0, 0, 48, 0, 0, 0, -4, 0, -28, 42, 0, 0, -9, 0, 33, 0, 0, 0, 0, 0, -30, -18, 0, 45, 27, 0, -9, 72, 0, -38, 0, 0, 0, -6, 0, 0, 26, 0, 3, 0, 0, -3, -18, 0, 14, -75, 0, -72, 6, 0, 0, -72, 0, 0, 2, 0, 0, 39, 0, -53, 0, 0, 0, 6, 0, 0, 0, 0, -21, 0, 0, -36, 33, 0, 42, 0, 0, 72, -12, 0, 0, 0, 0, -36, -14, 0, 78, 84, 0, -66, 0, 0, -3, -66, 0, 0, 0, 0, -72, 48, 0, 60, 0, 0, -22, 0, 0, -65, 0, 0, 0, 9, 0, 75, -54, 0, 0, 6, 0, 75, -30, 0, -12, 21, 0, 0, 25, 0, -30, 12, 0, -17, -19, 0, 0, 0, 0, 0, 24, 0, 0, 84, 0, -18, 0, 0, -30, 0, 0, -54, 0, 0, 36, 54, 0, 0, -6, 0, 0, -12, 0, -38, 52, 0, -30, 0, 0, 69, -18, 0, -15, 21, 0, 0, -18, 0, -18, -69, 0, 0, 0, 0, -66, 84, 0, 0, 0, 0, -9, 78, 0, -27, -42, 0, -63, 0, 0, -78, -27, 0, 0, 0, 0, 44, -6, 0, -36, 0, 0, 32, 0, 0, 0, -78, 0, 0, -12, 0, -90, 72, 0, 49, 30, 0, -35, 0, 0, 54, 0, 0, 0, -30, 0, 33, -18, 0, 12, -42, 0, 0, 0, 0, 0, 9, 0, 60, 10, 0, -31, 0, 0, 0, -3, 0, 9, 0, 0, 42, 36, 0, 0, 48, 0, 0, 0, 0, 0, 42, 0, -6, -35, 0, -15, -72, 0, 0, 9, 0, 12, 48, 0, -18, -8, 0, 0, 0, 0, 70, 21, 0, 0, 0, 0, 17, 21, 0, -3, 36, 0, -108, 0, 0, -36, 0, 0, 0, 72, 0, 18, -36, 0, 18, 0, 0, 72, 0, 0, -72, 1, 0, 25, -24, 0, 66, 17, 0, 0, -90, 0, 0, 0, 0, -4, 0, 0, 0, -54, 0, 0, 36, 0, 61, 0, 0, -18, 15, 0, 0, -1, 0, 0, 63, 0, -36, 0, 0, 24, 0, 0, 88, 0, 0, 18, -63, 0, 0, -36, 0, 0, 39, 0, -32, 54, 0, -3, 0, 0, 20, -30, 0, 0, 0, 0, 36, 0, 0, -27, 72, 0, 0, 0, 0, -9, -36, 0, -65, 0, 0, -39, -30, 0, 135, -50, 0, -18, 0, 0, 0, -48, 0, 0, 54, 0, -42, -11, 0, 0, 42, 0, 72, 0, 0, 42, -27, 0, 0, 53, 0, -9, -54, 0, 0, -9, 0, -54, 0, 0, -17, 0, 0, 0, -42, 0, 64, 3, 0, 0, -27, 0, 54, 0, 0, 0, -9, 0, 0, 36, 0, 24, 0, 0, 42, 60, 0, 21, 0, 0, 90, 15, 0, -30, 108, 0, 0, 32, 0, -6, -69, 0, -12, 0, 0, 84, 0, 0, 0, -48, 0, 54, -24, 0, 54, -15, 0, 0, 15, 0, -4, 0, 0, 0, 0, 0, 60, 48, 0, -6, 72, 0, -12, 0, 0, 1, 90, 0, 0, 31, 0, -9, 60, 0, -54, 0, 0, 0, 0, 0, -8, -18, 0, 0, -45, 0, -41, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 75, 27, 0, -36, -42, 0, 76, 0, 0, 57, 0, 0, 0, -44, 0, 0, 12, 0, 0, 0, 0, -42, 36, 0, -57, 0, 0, -8, 36, 0, 0, 0, 0, 0, -90, 0, 18, 22, 0, -12, 0, 0, 6, -21, 0, 0, -54, 0, 0, -18, 0, 12, 21, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 18, -66, 0, 25, 9, 0, 66, 0, 0, -69, 18, 0, 0, 18, 0, 3, -6, 0, 48, 0, 0, -17, 0, 0, -27, -108, 0, 0, -6, 0, -30, -48, 0, 0, -36, 0, 6, -60, 0, 72, 0, 0, 0, -18, 0, 10, 0, 0, -21, 42, 0, -90, 0, 0, 63, 36, 0, 0, 48, 0, -15, 0, 0, 10, -36, 0, 36, 0, 0, 22, 26, 0, 0, -57, 0, 0, 3, 0, -30, 24, 0, 36, 0, 0, 24, 0, 0, 0, -18, 0, -30, -63, 0, -96, -72, 0, 0, 0, 0, 55, 10, 0, 0, 0, 0, -36, 19, 0, -2, 81, 0, 0, -45, 0, 0, 0, 0, 0, 32, 0, 8, -69, 0, 9, 0, 0, -18, 0, 0, -3, 70, 0, 0, 66, 0, -9, -48, 0, 0, -33, 0, -27, 0, 0, -21, 0, 0, 0, -17, 0, 0, 45, 0, -126, 66, 0, -6, 0, 0, 0, -72, 0, 0, 0, 0, -6, 0, 0, -51, -84, 0, -108, 0, 0, -30, -3, 0, 0, -26, 0, 0, 63, 0, -36, 48, 0, 21, 0, 0, 0, 42, 0, 0, -144, 0, -12, -4, 0, 24, 117, 0, 56, 0, 0, -36, 18, 0, 0, 0, 0, -51, 42, 0, -6, -3, 0, 4, 0, 0, 72, -3, 0, 0, 6, 0, -72, -54, 0, 0, 0, 0, 40, 0, 0, 24, 57, 0, -125, -90, 0, 16, 0, 0, 0, -36, 0, 27, 0, 0, 69, -42, 0, 0, 12, 0, 18, 15, 0, -6, 156, 0, 12, -40, 0, 0, -24, 0, 0, 12, 0, 84, 0, 0, -6, -56, 0, 24, 0, 0, -62, 0, 0, 0, -54, 0, 0, 54, 0, 24, -12, 0, 84, 0, 0, -72, -36, 0, 0, -4, 0, -12, 54, 0, -126, 24, 0, 0, 0, 0, -27, -33, 0, 30, 0, 0, -27, 12, 0, 21, 0, 0, -105, 0, 0, 15, -84, 0, 0, 9, 0, 6, 30, 0, 35, 0, 0, -18, 0, 0, 0, -36, 0, 0, 18, 0, 0, -30, 0, -7, -18, 0, -48, 0, 0, 24, 0, 0, 0, 0, 0, 51, -36, 0, -54, -18, 0, -18, 0, 0, 0, 51, 0, 0, -135, 0, 4, 0, 0, -6, 84, 0, 74, 0, 0, 0, -45, 0, -55, 21, 0, 0, -114, 0, 32, -72, 0, -7, 0, 0, 75, -27, 0, 0, 48, 0, -78, -9, 0, -18, 84, 0, 0, 5, 0, -18, -6, 0, 0, 0, 0, 6, 102, 0, 0, -36, 0, -21, 0, 0, -24, 19, 0, 0, -99, 0, -180, 0, 0, 39, 0, 0, -51, 0, 0, 3, 48, 0, 0, 6, 0, -6, 3, 0, 0, 56, 0, -12, 0, 0, 72, 0, 0, 0, 45, 0, -40, 48, 0, -54, 102, 0, 38, 0, 0, 0, 0, 0, 0, -18, 0, -24, 0, 0, -24, 36, 0, -15, 60, 0, 108], "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, 0, -1, 0, 0, -6, 0, 0, 0, 0, 1, 6, 0, 3, 0, 0, 6, 6, 0, -5, 0, 0, 0, 9, 0, -6, -1, 0, -6, 0, 0, -9, -3, 0, 0, 3, 0, -8, -6, 0, -6, -3, 0, -7, 5, 0, 0, -6, 0, 0, 0, 0, -9, 0, 0, -8, 6, 0, 1, 0, 0, 12, 6, 0, 0, 3, 0, 6, 9, 0, 3, 0, 0, 1, 0, 0, -3, 6, 0, 0, 8, 0, 6, 15, 0, 0, 6, 0, 3, 0, 0, -12, 7, 0, -5, -3, 0, 13, 0, 0, 6, -3, 0, -15, 0, 0, 0, 12, 0, 0, 9, 0, 0, 0, 0, 25, 8, 0, -6, 0, 0, 11, -1, 0, 0, -12, 0, 0, -12, 0, -6, -9, 0, 14, 0, 0, -3, 0, 0, 0, -6, 0, -9, -6, 0, 12, -3, 0, 0, 0, 0, -4, -1, 0, 0, 0, 0, -9, 3, 0, -6, -15, 0, 0, 0, 0, -8, -21, 0, 0, -6, 0, -15, 3, 0, -2, 0, 0, -6, 0, 0, -36, -3, 0, 0, 12, 0, -12, 12, 0, -7, -18, 0, -7, 5, 0, 3, 0, 0, 0, -13, 0, 0, -18, 0, -14, -6, 0, 3, 0, 0, 0, 15, 0, 0, 0, 0, 12, 0, 0, -12, 12, 0, -6, 0, 0, -9, -6, 0, 0, 0, 0, 0, -9, 0, -18, -25, 0, -8, 0, 0, 0, 6, 0, 0, -3, 0, -36, -11, 0, 1, -12, 0, 0, 0, 0, 12, 6, 0, 0, 0, 0, 12, 18, 0, 24, 6, 0, 9, 30, 0, -26, -14, 0, 0, 21, 0, 14, 3, 0, 0, 0, 0, 19, 0, 0, 6, 30, 0, 0, 9, 0, 6, 0, 0, 0, -12, 0, 3, 0, 0, -9, 0, 0, 0, -18, 0, -17, 4, 0, 1, -24, 0, -54, 0, 0, 0, 18, 0, 0, 9, 0, -3, 0, 0, -15, 6, 0, 15, 0, 0, -31, 0, 0, 0, 36, 0, 0, 8, 0, 21, -12, 0, -9, 0, 0, 6, -6, 0, 0, 15, 0, -3, -24, 0, -10, 2, 0, 0, 0, 0, 17, 6, 0, 0, 0, 0, 4, 36, 0, 3, 0, 0, 36, 0, 0, -12, -24, 0, 0, 12, 0, -12, -15, 0, 36, 7, 0, 18, 0, 0, -21, 7, 0, -5, -6, 0, 0, -3, 0, 0, 54, 0, -36, 0, 0, 13, 0, 0, 0, 0, 0, 18, 33, 0, 9, 14, 0, 6, -30, 0, 0, -3, 0, 0, -21, 0, 11, 0, 0, -15, 18, 0, -35, 0, 0, 0, -12, 0, 0, -12, 0, 0, -6, 0, -18, 12, 0, -12, 0, 0, 6, 6, 0, 0, -30, 0, 24, 9, 0, 6, -15, 0, 0, 0, 0, 0, 48, 0, -15, 0, 0, 9, 0, 0, 0, 18, 0, 25, 0, 0, 6, 8, 0, 0, -9, 0, 54, 0, 0, -6, 0, 0, -36, 0, 0, 3, 12, 0, 0, 36, 0, 11, 0, 0, 0, -1, 0, 12, 0, 0, 18, 0, 0, 0, -18, 0, -16, -12, 0, -6, -36, 0, 13, 0, 0, 0, 0, 0, 0, -12, 0, -18, 42, 0, 18, -24, 0, -6, 0, 0, -28, -9, 0, -30, 27, 0, 0, 26, 0, 14, 6, 0, 0, 0, 0, -21, 33, 0, 0, -14, 0, -3, 0, 0, -22, 0, 0, 0, -30, 0, -30, -19, 0, 0, 0, 0, 36, -6, 0, -30, -18, 0, -18, 0, 0, -9, -42, 0, 0, -6, 0, 0, -12, 0, -35, 0, 0, 12, 0, 0, -31, -3, 0, 0, 0, 0, -15, 9, 0, 0, 21, 0, -3, 0, 0, 18, 0, 0, 25, 17, 0, -4, -54, 0, -18, -1, 0, 24, 0, 0, 0, 54, 0, 0, 0, 0, -9, 0, 0, -18, -48, 0, 0, 0, 0, -9, -9, 0, 0, 3, 0, 0, 36, 0, 21, 15, 0, -6, 0, 0, 54, -15, 0, 0, 48, 0, 1, 31, 0, 0, -18, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -8, 0, 0, -12, -21, 0, 12, 0, 0, 18, 9, 0, 0, -6, 0, -27, -6, 0, 6, 0, 0, -21, 0, 0, -15, -36, 0, 0, 3, 0, 24, -18, 0, 0, 10, 0, -2, -45, 0, 8, 0, 0, 0, -48, 0, -21, -17, 0, -6, -72, 0, -51, 0, 0, 0, 48, 0, 0, -4, 0, -36, 0, 0, 4, -3, 0, 0, 0, 0, 16, -36, 0, 0, 15, 0, 0, 12, 0, 24, 0, 0, 24, 0, 0, -12, 24, 0, 30, 12, 0, 15, 9, 0, -18, -36, 0, -7, 0, 0, 51, -18, 0, 0, 0, 0, 0, 21, 0, -7, -27, 0, -18, 5, 0, 6, -36, 0, 0, 0, 0, 3, 6, 0, -12, 0, 0, -54, 0, 0, -24, 36, 0, 0, 48, 0, 40, -13, 0, 0, -48, 0, 20, 0, 0, 0, -42, 0, 0, -18, 0, -33, 33, 0, 52, -9, 0, -14, 0, 0, 0, -6, 0, 30, -54, 0, 6, 0, 0, 3, -18, 0, 22, 0, 0, 21, -36, 0, 0, -11, 0, 0, -6, 0, 0, 15, 0, -18, 0, 0, 18, 35, 0, 0, -30, 0, -34, 0, 0, 12, -30, 0, 0, 0, 0, 12, -9, 0, 0, 0, 0, 6, -54, 0, -36, 18, 0, -12, 0, 0, -10, 12, 0, 0, 48, 0, -36, -6, 0, -6, 0, 0, 7, 0, 0, 30, 0, 0, 45, -24, 0, -9, 18, 0, -21, -6, 0, 15, 0, 0, 43, 0, 0, 0, 54, 0, 18, 0, 0, -48, 18, 0, 0, 15, 0, 0, 54, 0, 0, -9, 0, 0, 0, 0, 5, 0, 0, -18, 0, 0, 42, -25, 0, 0, -9, 0, 0, -6, 0, -8, 33, 0, -90, 0, 0, 9, 9, 0, 0, -54, 0, 0, -48, 0, 56, 6, 0, 0, 0, 0, -46, 36, 0, 0, 0, 0, 0, -3, 0, -12, -18, 0, -6, 0, 0, -36, -9, 0, 0, -11, 0, 0, 36, 0, 9, 0, 0, 1, -15, 0, 0, -12, 0, 0, 24, 0, 54, -18, 0, 0, -48, 0, -5, 0, 0, 18, 0, 0, 0, 16, 0, 12, -54, 0, -57, 6, 0, 36, 0, 0, 0, -13, 0, 0, -24, 0, 16, 0, 0, 0, 72, 0, 10, 0, 0, 12, -81, 0, 40, 18, 0, -42, 0, 0, -18, -18, 0, 24, 0, 0, 18, 6, 0, 0, -48, 0, 4, 28, 0, 9, -33, 0, 0, 30, 0, -27, 9, 0, 0, 0, 0, -26, -3, 0, 18, -14, 0, -6, 0, 0, -2, 0, 0, 0, 0, 0, 0, 21, 0, -33, -42, 0, 12, 0, 0, 14, -78, 0, 0, 3, 0, 0, 72, 0, 0, 22, 0, 0, 0, 0, 54, 0, 0, 30, 12, 0, -25, 30, 0, 19, 0, 0, -24, 0, 0, 0, 30, 0, 0, -36, 0, 6, 0, 0, -52, 30, 0, 18, 15, 0, 18, 18, 0, 0, 66, 0, 0, 9, 0, 42, 63, 0, 27, 0, 0, 6, 36, 0, 0, 0, 0, 12, 90, 0, -30, 35, 0, 0, 0, 0, 18, -12, 0, 0, 0, 0, -10, 31, 0, 3, -9, 0, -36, 0, 0, 0, 0, 0, 35, 15, 0, -9, -12, 0, 8, 0, 0, -21, 0, 0, -21, 3, 0, 0, 36, 0, -72, -18, 0, 0, -72, 0, -1, -25, 0, -17, 0, 0, 0, 4, 0, 54, 0, 0, 0, 18, 0, 1, 0, 0, 0, -24, 0, 0, -18, 0, 36, 0, 0, -54, 3, 0, 30, 0, 0, 0, 27, 0, 0, 9, 0, 0, 39, 0, 50, 18, 0, 48, 0, 0, 11, 0, 0, 0, -42, 0, -53, 9, 0, 9, 54, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -36, -24, 0, -60, -21, 0, -15, 30, 0, -32, 6, 0, 0, -84, 0, 48, -54, 0, 15, 0, 0, 0, 0, 0, -48, 6, 0, 0, -1, 0, -31, 9, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -27, 36, 0, 0, -57, 0, 44, 0, 0, 0, 42, 0, 0, 8, 0, 0, 0, 0, -22, 12, 0, 21, 0, 0, 18, -12, 0, 0, 0, 0, 0, -18, 0, -9, -66, 0, -18, 0, 0, 6, -48, 0, 0, 27, 0, 6, 30, 0, 36, -6, 0, 0, 0, 0, 0, 21, 0, 0, -63, 0, -48, 15, 0, 36, -36, 0, -26, 0, 0, -3, 30, 0, 0, -24, 0, 18, 30, 0, 72, 0, 0, -10, 0, 0, -19, 2, 0, 45, 0, 0, -32, -8, 0, 0, 18, 0, -70, 0, 0, 48, 0, 0, 0, 21, 0, 17, 0, 0, -66, 6, 0, 72, 0, 0, 0, 51, 0, 0, 30, 0, 26, 0, 0, -48, -21, 0, -42, 0, 0, 4, -24, 0, 0, 36, 0, 0, 51, 0, 3, -4, 0, 3, 0, 0, 54, 0, 0, 0, -24, 0, 90, -16, 0, 36, -27, 0, 42, 0, 0, -15, 6, 0, 40, 0, 0, -12, -84, 0, 56, -24, 0, 0, 0, 0, -54, -24, 0, 0, 72, 0, 4, 12, 0, -24, 0, 0, 33, -30, 0, -12, -21, 0, 0, -15, 0, -9, -6, 0, 0, 18, 0, 36, 0, 0, 30, 7, 0, 0, -24, 0, 0, -51, 0, 18, 18, 0, -51, 0, 0, 0, 6, 0, 0, 0, 0, -21, 0, 0, 72, 7, 0, 27, 0, 0, 9, 18, 0, -5, 18, 0, 0, -6, 0, 36, 21, 0, -19, 0, 0, 0, -39, 0, 0, -3, 0, -6, 6, 0, -56, 12, 0, 0, 0, 0, -48, 54, 0, 0, 0, 0, 18, 24, 0, -36, 15, 0, 36, 0, 0, -48, 36, 0, 0, -40, 0, 13, -72, 0, 0, 0, 0, 48, 0, 0, 78, -20, 0, 0, -72, 0, 8, 0, 0, 42, -75, 0, 39, 0, 0, 18, 0, 0, -60, 33, 0, -33, 36, 0, -32, -52, 0, 9, 0, 0, 0, 14, 0, 0, 45, 0, 56, 0, 0, 6, 33, 0, -26, -30, 0, 54, 0, 0, 0, -6, 0, 0, 18, 0, 0, -3, 0, 18, 0, 0, -18, -22, 0, 0, -3, 0, 57, -21, 0, 36, 24, 0, 0, 0, 0, 11, -45, 0, 0, 0, 0, 6, 27, 0, -58, 0, 0, -15, 0, 0, 9, 18, 0, 0, 78, 0, 48, -18, 0, -35, 0, 0, -41, 0, 0, 30, -24, 0, 0, 34, 0, 0, -72, 0, 0, -12, 0, 30, -15, 0, -41, 0, 0, 0, 0, 0, -48, -12, 0, 9, 0, 0, -30, 0, 0, 0, 54, 0, 0, -6, 0, 54, 0, 0, 66, 36, 0, -18, 0, 0, 0, 12, 0, 0, -63, 0, 63, 10, 0, -12, 6, 0, -18, 0, 0, -48, -60, 0, -30, 36, 0, 6, 0, 0, -30, 6, 0, 0, 0, 0, 90, -7, 0, 0, 0, 0, -36, -30, 0, 0, -42, 0, 21, -45, 0, 24, -90, 0, 0, 9, 0, -18, 0, 0, -15, 21, 0, 6, 0, 0, -15, -15, 0, 0, 42, 0, 43, -43, 0, 0, 36, 0, -12, 0, 0, -54, 0, 0, 0, -18, 0, 0, -48, 0, 48, 48, 0, -18, 0, 0, 0, 0, 0, -15, -39, 0, 126, 0, 0, -54, 60, 0, 36, 0, 0, 9, 39, 0, 0, 0, 0, 0, -9, 0, 72, -5, 0, 0, 0, 0, -9, 18, 0, 0, -48, 0, 80, -42, 0, 25, 0, 0, 0, 0, 0, 9, 108, 0, 0, 0, 0, 6, 30, 0, 35, 8, 0, -33, 0, 0, 39, 90, 0, 0, 54, 0, 0, -9, 0, -9, 0, 0, -18, 0, 0, 54, 18, 0, -5, 0, 0, 48, 33, 0, 0, -56, 0, -6, 0, 0, 12, 0, 0, 0, 12, 0, -41, 46, 0, -36, 78, 0, -11, 0, 0, 0, 45, 0, 0, 0, 0, 3, -21, 0, -58, 12, 0, 18, 0, 0, -30, 6, 0, 0, 24, 0, 0, 36, 0, 9, -3, 0, -58, 0, 0, 11, -9, 0, 0, 0, 0, -36, 15, 0, 0, -9, 0, 0, 0, 0, 90, -1, 0, 15, 0, 0, -16, 0, 0, 12, 150, 0, 27, 0, 0, -24, -6, 0, 0, -54, 0, 18, -66, 0, -45, 0, 0, 48, -30, 0, -72, 5, 0, 0, -72, 0, 58, -18, 0, 0, -63, 0, 43, 0, 0, -16, 0, 0, 0, -12, 0, 54, -90, 0, -72, 57, 0, -6, 0, 0, 56, -36, 0, 0, -63, 0, -6, 0, 0, 13, 54, 0, 0, 0, 0, 24, 72, 0, 0, -16, 0, 0, 84, 0, 82, 0, 0, -72, 0, 0, 66, -10, 0, 0, 15, 0, 24, -12, 0, 81, 36, 0, 0, -40, 0, -18, 45, 0, 0, 42, 0, 0, 66, 0, 43, 18, 0, 18, 0, 0, 108, -24, 0, 0, 0, 0, -18, -18, 0, -6, 0, 0, -9, 0, 0, 48, 0, 0, 0, -4, 0, -28, 42, 0, 0, -9, 0, 33, 0, 0, 0, 0, 0, -30, -18, 0, 45, 27, 0, -9, 72, 0, -38, 0, 0, 0, -6, 0, 0, 26, 0, 3, 0, 0, -3, -18, 0, 14, -75, 0, -72, 6, 0, 0, -72, 0, 0, 2, 0, 0, 39, 0, -53, 0, 0, 0, 6, 0, 0, 0, 0, -21, 0, 0, -36, 33, 0, 42, 0, 0, 72, -12, 0, 0, 0, 0, -36, -14, 0, 78, 84, 0, -66, 0, 0, -3, -66, 0, 0, 0, 0, -72, 48, 0, 60, 0, 0, -22, 0, 0, -65, 0, 0, 0, 9, 0, 75, -54, 0, 0, 6, 0, 75, -30, 0, -12, 21, 0, 0, 25, 0, -30, 12, 0, -17, -19, 0, 0, 0, 0, 0, 24, 0, 0, 84, 0, -18, 0, 0, -30, 0, 0, -54, 0, 0, 36, 54, 0, 0, -6, 0, 0, -12, 0, -38, 52, 0, -30, 0, 0, 69, -18, 0, -15, 21, 0, 0, -18, 0, -18, -69, 0, 0, 0, 0, -66, 84, 0, 0, 0, 0, -9, 78, 0, -27, -42, 0, -63, 0, 0, -78, -27, 0, 0, 0, 0, 44, -6, 0, -36, 0, 0, 32, 0, 0, 0, -78, 0, 0, -12, 0, -90, 72, 0, 49, 30, 0, -35, 0, 0, 54, 0, 0, 0, -30, 0, 33, -18, 0, 12, -42, 0, 0, 0, 0, 0, 9, 0, 60, 10, 0, -31, 0, 0, 0, -3, 0, 9, 0, 0, 42, 36, 0, 0, 48, 0, 0, 0, 0, 0, 42, 0, -6, -35, 0, -15, -72, 0, 0, 9, 0, 12, 48, 0, -18, -8, 0, 0, 0, 0, 70, 21, 0, 0, 0, 0, 17, 21, 0, -3, 36, 0, -108, 0, 0, -36, 0, 0, 0, 72, 0, 18, -36, 0, 18, 0, 0, 72, 0, 0, -72, 1, 0, 25, -24, 0, 66, 17, 0, 0, -90, 0, 0, 0, 0, -4, 0, 0, 0, -54, 0, 0, 36, 0, 61, 0, 0, -18, 15, 0, 0, -1, 0, 0, 63, 0, -36, 0, 0, 24, 0, 0, 88, 0, 0, 18, -63, 0, 0, -36, 0, 0, 39, 0, -32, 54, 0, -3, 0, 0, 20, -30, 0, 0, 0, 0, 36, 0, 0, -27, 72, 0, 0, 0, 0, -9, -36, 0, -65, 0, 0, -39, -30, 0, 135, -50, 0, -18, 0, 0, 0, -48, 0, 0, 54, 0, -42, -11, 0, 0, 42, 0, 72, 0, 0, 42, -27, 0, 0, 53, 0, -9, -54, 0, 0, -9, 0, -54, 0, 0, -17, 0, 0, 0, -42, 0, 64, 3, 0, 0, -27, 0, 54, 0, 0, 0, -9, 0, 0, 36, 0, 24, 0, 0, 42, 60, 0, 21, 0, 0, 90, 15, 0, -30, 108, 0, 0, 32, 0, -6, -69, 0, -12, 0, 0, 84, 0, 0, 0, -48, 0, 54, -24, 0, 54, -15, 0, 0, 15, 0, -4, 0, 0, 0, 0, 0, 60, 48, 0, -6, 72, 0, -12, 0, 0, 1, 90, 0, 0, 31, 0, -9, 60, 0, -54, 0, 0, 0, 0, 0, -8, -18, 0, 0, -45, 0, -41, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 75, 27, 0, -36, -42, 0, 76, 0, 0, 57, 0, 0, 0, -44, 0, 0, 12, 0, 0, 0, 0, -42, 36, 0, -57, 0, 0, -8, 36, 0, 0, 0, 0, 0, -90, 0, 18, 22, 0, -12, 0, 0, 6, -21, 0, 0, -54, 0, 0, -18, 0, 12, 21, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 18, -66, 0, 25, 9, 0, 66, 0, 0, -69, 18, 0, 0, 18, 0, 3, -6, 0, 48, 0, 0, -17, 0, 0, -27, -108, 0, 0, -6, 0, -30, -48, 0, 0, -36, 0, 6, -60, 0, 72, 0, 0, 0, -18, 0, 10, 0, 0, -21, 42, 0, -90, 0, 0, 63, 36, 0, 0, 48, 0, -15, 0, 0, 10, -36, 0, 36, 0, 0, 22, 26, 0, 0, -57, 0, 0, 3, 0, -30, 24, 0, 36, 0, 0, 24, 0, 0, 0, -18, 0, -30, -63, 0, -96, -72, 0, 0, 0, 0, 55, 10, 0, 0, 0, 0, -36, 19, 0, -2, 81, 0, 0, -45, 0, 0, 0, 0, 0, 32, 0, 8, -69, 0, 9, 0, 0, -18, 0, 0, -3, 70, 0, 0, 66, 0, -9, -48, 0, 0, -33, 0, -27, 0, 0, -21, 0, 0, 0, -17, 0, 0, 45, 0, -126, 66, 0, -6, 0, 0, 0, -72, 0, 0, 0, 0, -6, 0, 0, -51, -84, 0, -108, 0, 0, -30, -3, 0, 0, -26, 0, 0, 63, 0, -36, 48, 0, 21, 0, 0, 0, 42, 0, 0, -144, 0, -12, -4, 0, 24, 117, 0, 56, 0, 0, -36, 18, 0, 0, 0, 0, -51, 42, 0, -6, -3, 0, 4, 0, 0, 72, -3, 0, 0, 6, 0, -72, -54, 0, 0, 0, 0, 40, 0, 0, 24, 57, 0, -125, -90, 0, 16, 0, 0, 0, -36, 0, 27, 0, 0, 69, -42, 0, 0, 12, 0, 18, 15, 0, -6, 156, 0, 12, -40, 0, 0, -24, 0, 0, 12, 0, 84, 0, 0, -6, -56, 0, 24, 0, 0, -62, 0, 0, 0, -54, 0, 0, 54, 0, 24, -12, 0, 84, 0, 0, -72, -36, 0, 0, -4, 0, -12, 54, 0, -126, 24, 0, 0, 0, 0, -27, -33, 0, 30, 0, 0, -27, 12, 0, 21, 0, 0, -105, 0, 0, 15, -84, 0, 0, 9, 0, 6, 30, 0, 35, 0, 0, -18, 0, 0, 0, -36, 0, 0, 18, 0, 0, -30, 0, -7, -18, 0, -48, 0, 0, 24, 0, 0, 0, 0, 0, 51, -36, 0, -54, -18, 0, -18, 0, 0, 0, 51, 0, 0, -135, 0, 4, 0, 0, -6, 84, 0, 74, 0, 0, 0, -45, 0, -55, 21, 0, 0, -114, 0, 32, -72, 0, -7, 0, 0, 75, -27, 0, 0, 48, 0, -78, -9, 0, -18, 84, 0, 0, 5, 0, -18, -6, 0, 0, 0, 0, 6, 102, 0, 0, -36, 0, -21, 0, 0, -24, 19, 0, 0, -99, 0, -180, 0, 0, 39, 0, 0, -51, 0, 0, 3, 48, 0, 0, 6, 0, -6, 3, 0, 0, 56, 0, -12, 0, 0, 72, 0, 0, 0, 45, 0, -40, 48, 0, -54, 102, 0, 38, 0, 0, 0, 0, 0, 0, -18, 0, -24, 0, 0, -24, 36, 0, -15, 60, 0, 108]}