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{'Nk2': 33124, 'analytic_conductor': 66.12411791382229, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, 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': [8281, 1, [1522, 3382], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 4507648, 'field_disc_factorization': [[2, 11], [31, 1], [71, 1]], 'field_poly': [-1, -6, 7, 8, -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': [[2, [-2, -4, 14, 0, -8, 0, 1]], [3, [2, 8, -12, -12, 20, -8, 1]], [5, [31, 26, -31, -24, 5, 6, 1]], [11, [-562, 692, 186, -156, -38, 4, 1]], [17, [-5294, 6792, -2792, 324, 56, -16, 1]]], 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538939993, 'hecke_ring_generator_nbound': 3, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8281.2.a.cd', 'level': 8281, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'minimal_twist': '637.2.a.m', 'nf_label': '6.6.4507648.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{2}q^{2}+(1+\\beta _{1})q^{3}+(1-\\beta _{1}-\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8281.2.a', 'trace_display': [0, 8, -6, 0], 'trace_hash': 2211255353374736299, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.577', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '81.785', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1805.959', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, 'traces': [6, 0, 8, 4, -6, -4, 0, 0, 6, 4, -4, -4, 0, 0, -12, 0, 16, 4, -2, -16, 0, -12, -6, -12, -4, 0, 20, 0, -6, 0, -6, 20, -4, 0, 0, -24, 0, 8, 0, 4, 8, 0, 2, 4, -14, -8, -30, -8, 0, -8, -4, 0, -14, 48, -8, 0, -4, 8, -24, -12, 0, 28, 0, -20, 0, -4, -16, 28, -20, 0, -8, -28, 6, -12, 12, 16, 0, 0, -22, 28, 46, -40, -50, 0, 8, 16, -16, -44, -26, -40, 0, 20, -16, -32, -6, 20, 14, 0, -12, -8, -4, -52, 16, 0, 0, -56, -8, -32, -8, 20, -20, 0, -30, 0, 2, -44, 0, -4, 0, 44, 26, 20, 60, 44, 6, 0, -28, -16, -40, 0, 32, 64, 0, -4, -24, 52, -4, -24, -20, 0, -28, -28, 0, -4, 38, -16, 0, -4, 0, 28, -28, -4, -60, 0, -46, 0, 4, -52, 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5, 'dual_embedding_m': 5, 'embedding_index': 5, 'embedding_m': 5, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.350996059652567, 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538939993, 'label': '8281.2.a.cd.1.5', 'level': 8281, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[7, -1], [13, -1]], 123, 23], [[[7, -1], [13, 1]], 131, 33], [[[7, 1], [13, 1]], 118, 15], [[[7, 1], [13, -1]], 130, 7]], 'ALdims': [118, 130, 131, 123], 'Nk2': 33124, 'analytic_conductor': 66.12411791382229, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8281, 1, [1522, 3382], [1, 1]], 'conrey_index': 1, 'cusp_dim': 793, 'dim': 502, 'eis_dim': 111, 'eis_new_dim': 55, 'hecke_cutter_primes': [2, 3, 5, 11, 17], 'hecke_orbit_code': 33562713, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 16, 24, 24, 24, 24, 32, 36, 36], 'label': '8281.2.a', 'level': 8281, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 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id: 49076328
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 247697979538939993, 'source_is_minimal': False, 'source_label': '8281.2.a.cd.1.5', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 247697979538939993, 'target_is_minimal': False, 'target_label': '8281.2.a.cd.1.5', 'target_level': 8281, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49076329
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 247697979538939993, 'source_is_minimal': False, 'source_label': '8281.2.a.cd.1.5', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 243194379911569497, 'target_is_minimal': False, 'target_label': '8281.2.a.cc.1.5', 'target_level': 8281, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 49076330
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 247697979538939993, 'source_is_minimal': False, 'source_label': '8281.2.a.cd.1.5', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189371517, 'target_is_minimal': True, 'target_label': '637.2.a.n.1.2', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 49076331
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 247697979538939993, 'source_is_minimal': False, 'source_label': '8281.2.a.cd.1.5', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 193654784010491493, 'target_is_minimal': False, 'target_label': '5733.2.a.br.1.5', 'target_level': 5733, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 49076332
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 247697979538939993, 'source_is_minimal': False, 'source_label': '8281.2.a.cd.1.5', 'source_level': 8281, 'target_conrey_index': 508, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 63050669694648957, 'target_is_minimal': False, 'target_label': '637.2.e.o.508.5', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '91.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 49076333
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 247697979538939993, 'source_is_minimal': False, 'source_label': '8281.2.a.cd.1.5', 'source_level': 8281, 'target_conrey_index': 79, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 58547070067278461, 'target_is_minimal': False, 'target_label': '637.2.e.n.79.5', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '91.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 49076334
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 247697979538939993, 'source_is_minimal': False, 'source_label': '8281.2.a.cd.1.5', 'source_level': 8281, 'target_conrey_index': 79, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 63050669694648957, 'target_is_minimal': False, 'target_label': '637.2.e.o.79.5', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '91.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 49076335
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 247697979538939993, 'source_is_minimal': False, 'source_label': '8281.2.a.cd.1.5', 'source_level': 8281, 'target_conrey_index': 508, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 58547070067278461, 'target_is_minimal': False, 'target_label': '637.2.e.n.508.5', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '91.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 49076336
{'conductor': 91, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 247697979538939993, 'source_is_minimal': False, 'source_label': '8281.2.a.cd.1.5', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562001021, 'target_is_minimal': True, 'target_label': '637.2.a.m.1.2', 'target_level': 637, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '91.90', 'twisting_conrey_index': 90, 'weight': 2}
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id: 49076337
{'conductor': 273, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 5, 'source_hecke_orbit_code': 247697979538939993, 'source_is_minimal': False, 'source_label': '8281.2.a.cd.1.5', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 207165582892602981, 'target_is_minimal': False, 'target_label': '5733.2.a.bu.1.5', 'target_level': 5733, 'twist_class_label': '637.2.a.m.1.2', 'twist_class_level': 637, 'twisting_char_label': '273.272', 'twisting_conrey_index': 272, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 4711100
{'charpoly_factorization': [[[-2, -4, 14, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 2}
-
id: 4711101
{'charpoly_factorization': [[[2, 8, -12, -12, 20, -8, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 3}
-
id: 4711102
{'charpoly_factorization': [[[31, 26, -31, -24, 5, 6, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 5}
-
id: 4711103
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 247697979538939993, 'p': 7}
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id: 4711104
{'charpoly_factorization': [[[-562, 692, 186, -156, -38, 4, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 11}
-
id: 4711105
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 247697979538939993, 'p': 13}
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id: 4711106
{'charpoly_factorization': [[[-5294, 6792, -2792, 324, 56, -16, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 17}
-
id: 4711107
{'charpoly_factorization': [[[-73, 6, 83, -16, -17, 2, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 19}
-
id: 4711108
{'charpoly_factorization': [[[529, 874, -169, -272, -37, 6, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 23}
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id: 4711109
{'charpoly_factorization': [[[529, 230, -401, -268, -33, 6, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 29}
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id: 4711110
{'charpoly_factorization': [[[-44249, 10046, 4181, -508, -115, 6, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 31}
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id: 4711111
{'charpoly_factorization': [[[254, 716, 378, -236, -82, 0, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 37}
-
id: 4711112
{'charpoly_factorization': [[[28784, -19744, 1720, 968, -120, -8, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 41}
-
id: 4711113
{'charpoly_factorization': [[[35153, 29214, 6575, -188, -161, -2, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 43}
-
id: 4711114
{'charpoly_factorization': [[[-135617, -107350, -25621, -1480, 215, 30, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 47}
-
id: 4711115
{'charpoly_factorization': [[[-1319, 3386, 1199, -680, -37, 14, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 53}
-
id: 4711116
{'charpoly_factorization': [[[1532, -760, -1236, -44, 146, 24, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 59}
-
id: 4711117
{'charpoly_factorization': [[[-216584, -20768, 16252, 112, -246, 0, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 61}
-
id: 4711118
{'charpoly_factorization': [[[6112, 3712, -1984, -800, 0, 16, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 67}
-
id: 4711119
{'charpoly_factorization': [[[-1206162, 104028, 33274, -1856, -316, 8, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 71}
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id: 4711120
{'charpoly_factorization': [[[-142657, -22234, 12011, 808, -241, -6, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 73}
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id: 4711121
{'charpoly_factorization': [[[7913, 9486, -11129, -3172, -65, 22, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 79}
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id: 4711122
{'charpoly_factorization': [[[-167041, -13034, 26145, 7992, 941, 50, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 83}
-
id: 4711123
{'charpoly_factorization': [[[9959, 26, -9053, -1188, 131, 26, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 89}
-
id: 4711124
{'charpoly_factorization': [[[217287, -193902, 13171, 3620, -261, -14, 1], 1]], 'hecke_orbit_code': 247697979538939993, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 56, 'label': '8281.2.a.cd', 'level': 8281, 'portrait': 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DBtmJ9KWe4GdIeCUeKxMhBsnjIsdQzHzylqns/mWdi+IWLT3IiNcyGb50K2b7Ls3Ky4codHXTU5crzN/U/7PLo/4cljManq8V23d3jTCy11Ncf+Y9McOa05dT7lbAbug4uWm69e4F+/fYUd81OcPj/NuZUayx2P5Y5ktZfS7aeMIsGRk4scPb165cP7F168//j5iw6fXPjCra96c3TvnR/6dkPir/T4W83gnU6XMI5RUr7j/scPv/AXf+sT8ntuOfjCf/Y9p/TC6iZWu01WunWWOh5LHc1SR7DcSVnuxCytppxdhUNLgg3zq/zbH17i+Zc1OHFultPnm5xe1JxbspxdTDi5kHK+lzA9O+JF1/Z5wRXgyzqBCji3XOPMoubssmAQQpIYar6hWUuZmUowwLGzCd0+7Nrk0ayHWCtA+PSHhp2bQ5ZWNVgnRVb7ECZgsSx3IrZt9OgNFUJZhAlp1zx2bhmxOhAcO61JjWauLWnVBIEHSSIYhJKzy5IzS5ZzKwlBMAIv4dar+rzwasGGdp2llTYnzgWcXoRziwnnlhNOLcOhJctNVy3yaz+8wubpNsfPznJ2qc7Cis9SR7K0mrLcjVnppKz0Dct9wZm+YGFpwH/6+TB528ua3/Dnf9IErcu/IYT5JWM8Gs3WtxsqF3z8rQ0yf+k3P8bUVJszZxd//VNf+PLPf/RzjwSnTnX48y9ZXnOj5brdqwgkxkhSA6kRGKOxVuGMFRAiRQjL4aUZ/u2fC379x89xw+6IVn2WZr1FuxHQanhMtxXnlhRnVzRfuq/GZ+9NuHTHgCsuTlheGXLljpAfeK0hThQCy6fvr3G+U6Oehhw9o+j3W1x3Scr5bsLefR6X7ZAcOA23Xg6dHkRGE+iI+SbsP1WnUY8JVMJUS7Dag1uu7HHoZMBluwxHToc8c8j9e96OEYfOWaZaIcvdiM98qYEVijRNeen1A267wXJ21eOGPSP2bPVI4jaDYZ29h2ucXRQsrKScX0k4t2w4viw414+4/rIl/s0P9dnQnuHYmWnOLdVZWPVY6kiWOymdXky3n9IZWlYHgvMDxVI35uarVrj9ihU97G94ybHTHyaYetFte654sWm2W7+8eOxPmd/1D7/dkFn38beSwf/4fR/hx169Qf3C+07+m4VzZ3/53ImjanE14nxfc6JnuXLnOX7zZ85z/Z4G55ZmWOo0WO5kS2xXs9LDMVA3YbmXsNiBEysCXR9x29XLvO0lEbs3Nlnttzm/XGdh2WexI1juOImw0jN0h4ZuaBmMEubaMTs3GUAQeJaT5z2EDNi1UbF7q2XrxgHnVkKeONDixkstjfoKTx+cpdWMiCKPuRnDcARX7hzx/q9Mc/mOhDC0zE9J4nRIqxbwzNERda/J9ZclPHk44tySz7a5gN1bYOfmCKViTi6C71mEsOzalDDTkvSGAf2BR3fgsdxVLK/CUsew3ElZ7KSc7cDSKGXntj5ve+kit12hqXltziy2WVypsbiqWe4KVjqG1V7MSi9ltW9Z6sPZnuLcasLzLz/HO39miT1bWiysTLGw3GAUN9m+Y3M6Ozf/61969O/92nUXP5jeeOubvt3QWfP4WwXw/fv2U6vX6qdPndx530NPvfXZ/af//b6DJ9FaESbQGQjODRSnugk3XnyO//QzS1x3cZ3zKzMsrTZY6dZY7nqsdDUrXej0DKu9hJVewnLXcq4jON23IPq86fYOr3++4eItNaKowUqnxmrfp9NTrPQFvYFgFFqixJKmoKQl8KAeWKbblo2zMdobcehMxFMHA0zS5LW3RGhvlUf2TnHRFvjcgwm3XxNwvjOkphVJGjM7A0nsob2EpaUGL7qhy+fua7F7Czx8IMSjwWueb0jEkKcOpRw5WUNLn00zmpmmoB4IfF+gBCQGotgyiqA3sKz2Db2BYXVgWOpbhmnKru0DXv+CDm96YQSmxdLqFOeXnaxb7mpWOrDaS+n0E1YzcC8P4ExXsdBNuemyc7zrZ85z5a4GC8vTrHQbdPsBo0hiTIrf2AF627+a2nDlh3Zs33Y8DEfDSy+9/NsNpeLxtwbgJ44dYOOGDf6Bgwd/9Ll9B3/vvgceE+cXe3IYWaLYMgwtvRA6QwfyM72Y519ynnf+5BI3XFJjcXWapdUmK92A1Z7PSk+z2hN0epZOP2W1l9DpG1b6lvM9wZmOYWZ6wKtu6nHrFQm7NinadY9ur0bgSUARJRJjBMbCYAQIw0xrxIFTFmMj7nq4STioc8k2n9uuHRCbVe55dJrrL/U4cLZPZ6XNC64d8KVHAjbNWvYes/yTN3bZezRg06zki48qbrtSsTzocvjELNdfFnHPU0OSsMGtV/ns2TFimPS58xEFqeDQSU27odECBkOJsYLUWOIEkAbtGzp9S7MVs2NLyAuvHPCqGxPmmjXOLU+xtFpnpevOzUpX0OlDp5fQ6Sd0+imdgWV5IDnbEyz2Em65fIFf/8kFrttdY2FlmtVeg87Apz/wGIaKUaToDQTDuG52XnSN3XXRnp+9+OJL/2RxaSG66srLvt2QAv6WANzaoUzTwRsOPHnHJafPq3fdd/8jXncg6I8Mg2HKKDQMQssgNPSG0BlKzg8lpzsJt155nnf85AI37vFZ7U6xsNKi06+x2vNZ7Ws6PUVnAL2+pTtI6PZT+kNDZ2BZ6AsW+hCnIdddOmTzbEp/YHndC0Iu2mxIUomWliiGu5+ocfx8jS0zCU8fqoFpcMV2xQ2XG4LagEcODFhYbHL1RU3a0yvc96THzZfWWBqssrLSZvNmy4N7FT/08j4P7dVs3+ix2O+wsjzLDVcOuO/plNn6NFdf0ud8p8ODz05T101uutxy2c4RyD5PHBFsnI05txBzzxMeo1ghJaTGctGWiFe9IKLXV2ydMdxwKURRg+VOg+VOwGrfoztQdPqSbh+6A+eU9AYp3YFhdWBZHkpOdQWdYchtly3waz+xwk2Xupuj06vTHQR0Bx79oWY4UgxGkt5IsNpNWe1GXPu8m+OVofoXP/KDbzjYbtU/M9UIzLcbW9/2IHO1M6LTjX847X39N3vLz86ePTFiqqVBSISQSARKJAhhEEIgsAhhkNIipeah/Zv4pfdo3njbMt//8mV2b4s4u9Qm8OvUA59G4NGsa3p1SWvoMdXUDEYp/WHKptC4lWEUsLxQ4+QJS5QYTp1NCAILCHxl0VIwGCoEHslA87yLBHu2WnZuGxCmPT7/kOK5gzO8+saAG65c4X2ft/iiwUXbBjx5n2LbtGK+PaCm6kSxx/keNGua7ZsEjz8XccNldV5y/SJ/escQ32vxylssXjDgyw9GfO6BJs8eqXPx1gYXbUnZMBOxez7mmotSlDJoZQFLIwjYMB0QxR69gc/TBzz6I81gqOiPJP0h9EeW/sB99t4wpT+0dIeW1SEsDBTnViyNqQ4/99oFvue2kOsubnJmsU2nX6M3COgNnOMzyMDdHwn6Q7e6hjF88asPeMab/80NmzYt/9D33PbzSTT6U+3X/tcF+GA4RMBPPP3kw+/onf3KbBp18VSTemBJUuvsNhRCgJApUoIUrpNGSYuSKb6UPHlgA4/tb3Lg9Hne+MI+L7xqxHSrzXKnQbNboz306Q80vexiD0eaQagZhZZRZIhiSxy7v5mklijxsQakEnhaUPMF0y3BTAs2zxu2bxowP9PhC4/A1x7zkGaKV9/o8bwretz7bEw0anPb8wSd4ZDzS01uvcwwPz2grgNGiWKhG6OM4HmXaRqtkEf31XjxDVO84Loej+5TYKe48SqfH/+uZb70eMQXH2qy93iNnRsUm2frzLQaTLWgHoCnLUqCsbD3iCBNBXEiiBIIY9xnDFOGoXEr4cgwCA39IXRDWOhLzvcgNCNecf0yb3hhhx98pSFJ2pxdbNLt1+gNffpDj/5Q0R8qBiNBPxQMRpbhMGUYpoSZlDx//gyf+vSdszvn5P/7spe+SA8Gg/c0Go3/9QA+Gq6gZPrjRw584x0nD9690SYxQVBDKah5hiQAayUWgRAKIUUGcIOSoJRFK4unDHVPsDio84GvbOfLj3W5/ZpV3v6KVa7Z3WduusHSaoPeMGAw9DJgu3T+KBKEsSROBEnilvrcYlTSojXUfGjUDbOtmG0bByT0OXAq5oP31Dh8osl0UOfmqzS3Xtvlwf0d7rq/zS2X1ti5ZcD7vyJQIqDdilnthxgLSsCG9oBuz8ckdd5w+3k+8LkGe87VeP0tA6J4iXuemiNOazz/qo28/uYul+7o8OVHBzx5osETR3y2z0pm24JGIPA9dxNKAUJYjAVjLHGS3ayxJYzdjTyKYBhBbyRYCQXLPRB6xPWXr/L2V61y+1Upc+06K90GnV6d3iCgP3KSJF8JBqFkOIJBceOkjMKUMHaE1G5ookGPv/jInRs7/fQdr3nVi+y5hZU/3rRh5n8NgNul/8C51UsJlz72I4NB9K7VM/vnW0EXAk1qBZ42BL4gtQKLQ5tEIIVESY2UKUqJbHk2eMoSaEtdC1ZGiqXODB++u8kDT/e57bpV3v7KVa7f02EurZMkAYNRjf7QYxhqolgRJ5Iklc5Ht04CSWEJfEOjlhD4Eb4Xcmop5I6HJQdP+hw5OYMyAXu2+Fy5W3HjFV1UsMBTh1psm25w9cWwecMKy90212yTJMbyhYcCwoFkupnwmueP+Mw9McfPtrj8Eo8zqyOeOeyxY9MM1+1e4N4ne9z3jCCMfK7YPcsVOwKu2N7j0JllDp6Ch55rcOBwk4YWBFrSDCw1D6R0QZW17mZNUogSiFLHuN2RoBtDZBKMHXHTpV3e/qout1+TsmU2YDSaYqlTo9cP6I98BkNNf+QkyTAUDEeSYej6RkdhyihKGY4Mo9DdRHFiSQ1ERrD/2Cp//IGvbLzv2fPv0vVm8ut/+Nn3PfbcKT70n3/i7y7A/593/C7MfgTd4QdFdOy348656aZfQ03XiGJDFCuUVO4qZYwkhURKmYFaoZRAK4NWKZ4W+Nrge5bAszT8lOmaoBd6rHRn+OjX2nzliRGbZga89aUdrtgxYjTsc/Vuy47NijD2SNMyzS+wSGnwdMqxc5YjZwWrQ8On7m1wanEGG3nM1BRb5zS7Nmsu3gZX7+li5CLv/kyT5eUpbrlCc/WeDl9+QiASj40zkmYjYRD7SCvBSpT26YwE55YFV9kGL72xxzcerbN13ueWq2f5se9a5E8+1+OhfU36I4+l1Ra7t9a5fMuA51/W43tf3OP08jKfujdgaRBw7IzHqVM+nhJIKREIjHVgi40lTQwzczHXXjUgDGOu2BHy5peGbJxSzLYC4rjGmYUag6HPIHSr3LAAtnTgDgWjELcShC7wH0Upo8gyiixhZBnFECWCKIUw0Zw81uX+A/fP77lo02+/4PoN8Yf+82V/sXTsN5jb9Yt/9wD+0//uA7RufJv4B/9cvWV7+6k/etuLn2pcsauOlBY9soSRh1YeKjaZzrYIoZDCMZPKQK6VRCuB1gJPp/ha4HuGmmepx5ZGZJmqpczUBYNI0ouaHDnZ5J1/MQsmQSQJN147YPfmiCQBYw3WuiSOFAKpBNrz2XfcZ+/BGs2apuVL5huCDXOSjbOarRsUu7akXL5rlVQs8Tsfb3Ps+DS3XOZxxUUpw6TH/U8FTNc95qYs062IRt1JIWMknZFiuW9Z6qR0+nVedPUqD+8d8NxxxXS7xvOvmuYn37DE734CHj3YpD+0rPY055bbbJ5vsHFmxK65Ef/PWwa0Gx2ePAL7Tkg8z6KUC8LBuv9ZSBK4aHPKbdckpLFHnARY22AUeZxd9BmGbkUbRaqQb8NIMAoFo8ixdhhZRlFKGBrCyDCKTfa97IghjAWjBIaxoBdLVmIY9EOi3qPTb3z+/B/914WFxAQ/9+HuqbZtb/snf3cA/ovv+iBXbJtWX/v6n71p/7GV9/35Q8u1x5+b4p3/qMtl2x1jDocBWqeo0MsCyMqhVKa3JZ52mtP3FKEnCSNDEDkNWI8NYWyIIks7gTA2hIljlVEsCdOAOK3x3MEmTzwHqbU4aDtt7Enwlav5aAVw9RZo12GqKZlpKeamNRtnYefmkC0bVontMr/z8SkOHZ7ihosVF2+X7Nm+wlefSTi3NMWNuyUzbUPNHxLIAKsESSoR1pKkESv9GueWPG64os7zLutx76M1Ns0IGrUWN1xm+Lk3LfHbnzA8c6rFat+w2lMsrGjmp5vMtOvMtKdoN2I2NGN23RAReAmeTlAqRQon7yzupopjxfkFTZwo4kQRxYowzp4jSRhLwkgyiiRhJFyAGgnCyBJG7ryGUUoUZZo+dt8fRTCK3e8PY0E/FnQSQS+yRKMRz9u1xDv+0QKvuPp0o7tae18i/tTE9rKPnzv0nnTTnv/5cuV/OsD/83/9S6bbnjpy8uybz54486dP7jtRk61ZPv+gh6clv/aTq1yx3aBVghqlaJlmEsSglEZJi6csnlZ42uJFEt8T7iJ4gtBXRLEDehxboiR1rkhSOVJIUkuamkrdCgW4hQAlQUvwPAi0oBYIGoGk2VBMNSQzU4KNswm7Ng9oNVf5+Dci7nlqltXFNtfuVOza4nHpjhGpWOULDzVoepoNM4pWY8RTh+DZw5prdlgGoeK6S2Ou3WM5eyZlYcVnOGrw2pt7fP3JIQdOKZp1SeC3ueZiw6/9yBJ3PzPkM3fPs9S17NqYstLRTLcVU02PVsOjWbfUAkPgGwKdopWTWjJrrbQWl7AygsRIklSQJII4kUSJII4lYeyclygWRLEliiCM00w6lsQRxtXDgXuYgbsbS7oJDEIDcZ8bdi7zqz+xxGtugk5/lt7gWM3oqT9LZfsfpmz8yHOP/2V6xfU/8J0N8I2zUo5Gg+8/e+bkHxw/fKy2veWxEEo6tPn0fZIoUnzfSzu85eU9ZtsJPVVDqRStU7T28HSKpzVerAm0YuRlbONJIl8QxcJdnFgRJxDF0jkISWn7JakhTZ27kNrMKSkKskQmgZzs8bUg8CW1QNKsC9oNy3TLsGk2ZMNMj8Su8uGvS/7kc3NsrNW4dqdg5xaPi7Yadm1Z4eP3W5aXa1yxWTHThlYj5txRyfmVAH+3W8Y3TEmmp+HAEctK13B2scalF9V4+Y097vhajbkWBL6PktNcs0fwU68/jyfP8+l7Z3j2VI1N3ZiN0wlTTUWrrmjUJfVAE/gQeKC1c5ikACkqIMfd2KmBNBUkKRnQIU4tUQJxnDpSiA1R/hwbohjCJHdlMgsyEY61EwfuXmyIRjFTQY+3vWaRt7ykxyuul6z2WvSHdQbDGp3+yVqqWn8Ui4a2+H+J45nvTIB/+tOfJTXmRw4ffvo/nTxxrD3dlIihIbUAiq5s8oWHFPc/XePsyiL/5Hv7zLRjaoHLOHoqwdMenvbwo5TI0/ixIowlkedS6Y5xhGOijJWSBOIU0tQ5Cca4gMsYm/dwZuB2AHfaXuBpB5BaAI2aoVVPmG4lbJgeMj+zyjeei/izu+rsOzLNRVMeezbD9s0+2zfB5Tu7DJIuD+5tU1ceG2YU0y2YboXMTCX4vkYId3MNQ5/lbszqwNLpJ5xf8dm5ucULrjjPXQ8N2HeqTSOI8ZSPEFPs2ab4B69c5KbLz/Nnd7V48Olplvqaje2E6UZCoyap1xSBJwg8iee5WEUpMvvQodzieliNoQB6kppsdcusxcSQpA7cSQxRYssjdq7MKHGkMkgEvVjQS2E4TDDJkLl6j5/9viX+7x8YUPd9VrtNhqMawzBgEPoMw4Dzy6fbiQp+Z8v2K/wvf+lzf/KKV77+Ow/g1q4C8ic++fFPvePIsRNzUkq0cgBqGovFIIWk267TGSn+04c89h5a4Q0v7vPS63tsmg/p9uqMwgDfSwh8jzDSBLGz9yLfATyOJVHilt04yTztlMz6I2NuibGU4HZJyoy5QSuXMPE9S8031GsJrVrCTDtky3yXc50Bv/cpjy88PMvySpNLNgh2bhRs2+izfaNg99YR2l/lA/doDp9octkmyUxLMtVMkTLk1IIl0BIpwFpBFGt2bezyECndgWKlazm3XOey7TW+96UdPvJln6PnAjwdI4SHsU3iRHLj7hV2/UCXLzw64P1fmOWRo022zQjmmynNWkrNFwSewPdcrKIVLnCWoqjJsLibzFic05I6wOcgT1In6RzYIUpdrUuUJ48SwTCBXiLpJzCMDMkgYvt8l5fcsMJ3v3jAa28yaBosr9QJ44BR6DMKPaJIk6QSKSSrS6fmZLD9Xbe86LvVgWP991y6q/mdA/CTZ1dZXPF+7EOf+9I77v7K4xs7SynWOr3rSefZWkACSgh6IqAbaT7w1YC7n+xxwxVdfuAVrgpubjpgOAoYhj6B5xElHlGsi0ApSRRxKkkSSZwKkkSSpoLUiFJrG0GhSqxjbilcskhlySLfMwR+Sj1IaNVD5qf7DOMhX37K8sGvTvHg09PM+B7XbLNsmZVsmvPZukGyfVPExdtWePLokE99fQNTSrNhStBuCtqNmM4g5XP312j5FiEcsIah5g23hXz2AVcT0+kbzq9otm9s8cYX9nnwuR57D/g0gwQlhQO5aTCKnNb/By/vcNmW83zg7i73PTvN8ZU6m9uCqZql4Rtq2uB7oJVASbIEmfvcefmRyaSaMeUKl2RAdwQBcSqI0wzYqWCUONbup7iYJ4po1ge87dXLfP8ru9x4WcqmGY/BqEmnHxBGAWHsEUbZNUudHRv4hs3zIQ3v6xtb1r5j0843GJsuvVeoub/dAF9eWWVpuU8zED/8kTu+/h/f8+f3zA26q2yaUvjanWCtwLfOwnIAt/hC0FOagdfkZDfg9AMNHniqz0eu7fHmlw95zW0jZqd9ojAgTDyi2CNONHEG9CRVJGmWsElLgBubMbcpa8qEsFlQ6eo4tDb4Xkrgx9SDiFZ9SMqQLz0q+YuvTPP0kSlEHHDRjGXLtGV+WrFh1mfzvGTrhpidm7ucWOjxh59pkoR1tm8XTLc07Sa0GzHCi+gOm0y3LEIIrIU4kcwGisQk9GKf3iBlpas4tVDnqotb/PTfX+VdfxlwbKGJVnF2Y2iSpMYokmyeC7jxki7XXtznmWOn+OBX69z1yDSnO3WagaLlQ9Oz+NriKdDSpfOFGK+uM4A17qZLjSC1kKTC+eep87OjVDBMBcMUhoklSRJMHDJXG/LaV6zy1lf0uP2amKm6RxQ3WekEhLFPFDtQR7EmjDVx7K6RtaC1oVEzTLc6rJ760kZs+z9Ob3xJMuie/O9Wtmk2/+bmJ/6NAnwwGDI/1/zur9370O9+/vN3tYO0QysDt5IO0LlrIQTI7MRrCX5qqCnBQPkMEs35sManH2hyz9MDnv/FPv/0+3pcubPLxmnl0sGxT5R4JEkJ8jQHuJEY606m69PMwZ2l+pV1To1OCPwET0V0hzEL3Zjf+niNI+dneHTvNNb4zNUFG+ct81OCubZibtpj05xk81zCtg0D5qZX+MJjhkeeneba7YKZlqTVkLQbhmY9QnghQaDRyv19ayFNJcNQMxzFJEbQGxp6fcty1+PsUptbL+/zgqtW+cAXa9SXFVrGDpBWk6Q+Uex6POena9y0p89Nl/R56CWnObYg+bO7pjm/2uDkUoCvJE1P4OcyTLrAsyDyXKrgmDyxgsRAbARhCqMEImMhTSCJkSpk68yQa3e563HzlSntuiZJmnR6DthxojMCUkRRxZZM3CqbGuFkGoLV3hSrvYQjp+6Z23VZ83d3XHzjShwOP/U3icm/MYA/99x+tm3drN77p39xydPP7m+nUYfNMyoLKN3DWkglqNQlcrQELYXzuBNLkAoaSjDUgoEOGKYeS1Gdux6Z4hvPDmkGIf/wdR22zyVctHXIrVf30ELRamiEcHLFZSVdrbQr1srAjUVIixJZ3QQJyIRnjkgefk5zx4MtnjneIkoatLRiQ90y27TMNKzzwdua2SnN3LRg82zC1g1DtmxY4Z6nQ959x0a2TGs2tKHdVLSbglYjoR6EfGO/YhRpvKYDlbWCKJHUtOL6y4Y88NS0K3wapqx2PRZXA84tzvDTrz/HycUlHnh8A54ERIwBkgxAYSTpDzUzrRrT7SYvuGzAS64d8AMvW+C5E4bPPljjwefq7D/cJBGaMFQMYoUS0lVljgWeWU7AGhJjscbgiZQpP6JGzAtu6LN7y4jt8zFvf01I3Zc06x5R1KDTc2ydJCojHFUBtSKO3cqal0QY484BMQxQGBMwHA5Z6d/bPnv2/CUvfdWb1fFjh9Kdu/b87QH43r172bhx3n/44Yd/VAnzn3rdZaaaHknqaiKMqQY1kGaFU0pZVGpRCXhS4BtLkFhqqaChMxZJPYapxyCt0eul/McPzGCTmE0bRly1c8TcVMKbXz5k58aIOBaZ3pZQYW6KFcMgpOCjd9d58lAToTXHTjc4da5Bra6YCgTTTUu7ZmjXoFUXTDUU7ZZipqWZm4b56YRNcyO2beyS2lU++vU2w36TS7db2g1FqyFp1Q2tWoLnRXzhgRrhQOJtdCtYLlGadcVrnz/ka48Z+qGkP0zpDjSrPc3ZpQZX7m7x5tu7PPpMg2PLLZQ0QJzpZY84dW7SKJL0R5pO36dVb9Csh1y5fcQtl484cb7D0TOraC/licOaj3y1gVDKgXty/qA1gAFriaOUXZsS3vryIfPtlMt3WTbNQZp4hFGLJPFY6XoksSJOyxXUyRAHbhcTZcBOnP+epsIF/dbJIWNc9WMUK1bOrtCYTv7Tk088Otiybdef7Nu3N7r88iv/dgD81KmTLC0tXHby5Knfe/zxR2TNV2gliRNDmpYWXWrAKOdsJMo6vSedToxTi5dCogRBaqkZ9/PIWKJUEBpJmEoi4xEbWOi3+eqTBkvKJx90IxuwJjvyLF5mkYmsIlFIpFIksUYajaclrQB2b7A0PUMjMDQCaASCZl3Sqjs5NNWSzLRhbiphw0zI1g09Ulb4rY/VuPepjeyZg5lGxt4NSaue0KhHNBtD6vUGgZIomWlwnByIY4/RUDAMU3qhoj8y9IbGtcw1fU6em+JFV4X83FvO8Zsf0RxfDRDCYG2MSS1x4hHFklHoylhbQ02z5tOo12gEDWpBTKseceOlEb4Xc/OlCW9/xQCtkiwJZBDCjovyTNIZ42rxA08BPqNQs7SiXd1Omsc82ZHIMgbKZEiSOnAnWdCfpMJd6yL4zzR/6jR/nAqiyPLggw/LKJa/1+sPvh6G4dN/E9j8/xvgX/niJ5lqq/qRIwffdHD/QVGvaRekJBathEuyGDKgW0xqSRSo1OlC58WCzqL3NI/oU0FibBnZG6cP3SGIjCSxktRoYhM4Rqh43FDJUgrQQrhMpYJa3VLTlppKCTwINNR8Sz0Q1H1Joy5p1LQDeFMw3TLMthPmpkM2zvbZunGJd99heP9dm9gxrZhvGdpNRauhaDagUU9p1WPOLBkOnQmo+a78FvJKP8Eo0uzebNg8P6I78hmObMbiktWeplWv0WpM8/ZXnOfwmbP80ae2oaXGYkhNSmIscaIJI8UwckVRg5qkMdLUA496kNLpuRjD91KXMPNcplgpg5RpVu/jDle64qrcHMgFHZNVWRoX16Spm2KQmDLeceDNA/z8dfmcVsCdZKAurm/G6HECceLS/Y88+oTYvdJ/086duw59+CMfG77lzd/77QV4q6n8Xvf8L/a6535RiZFs1t1OBEpaEiWyD+I81jS1pMqijM2WJwdqnbF6micfjC2YvzxsmWbPKuWc7BFFoFTV3ECWyXOBlZbGaX7lVgxPCTxtnW+sBbVAUvMl9UBRryladUmrYZlqpky3EmbbIfMzA3ZuWuLB/SEfuHsrM7WATS1DuyEcuOuSZs3QrCW0GiEP7oMnnmtwyQab6d4ybT4MFTdfbrl055CHnp5mEFqGo5T+UGcg92jU6tRr07ztxcs8sf88D+zdDFZhTOrKYRNLEtuinmQYahojS72mqPmGwPcI/JRAG7RO8XReAuEaRqR0sRDCIij1XBmcuxJikztSJmfgihWbA9u4a21Smb1mDNxpRlA5a6eZFemyqZY4dU0nvX5fHjt++t9IVfObzeavA9G3DeCj0VDG4fBX7/nSX/z8oHvabwQeYea7KuUyiyoV6MQB27F5mVxIlUVnzO5OXKbRjahkH8n0Wqbns0xcnqyw1lLJvI+tuHmqOk/oKJllLBWVoi2X/Qt8RS1Q1ANBoy5o1S3tRspUM2G6FTI3NWTrhhUe2DfkV/90E8dPTnPxvGG6Ae26ollXNGvQrKXUazG+N6Izsiip8JRFyvKdpUZkgZdPux4zSAyDrM56MErpDSSduqLRC6gFLS7aHPNrP9rhV94nuX/vJiwKYw1pakjShChxpcajSDEMJPVQUfMlgW8JfEWgDZ7n/H6trAO4cgBXmUwRwo436GapfZuRiM1qWdIM8Kkpn901k0UJQJoDPNPY+TVNchIrwJ157okhzo/YcujISV97jX/xj3/mh73BYPCvGo3GXzud/9cGeBKtYu3o148f+/I/C/tHaq2GIIwMQsqitkNJt/Sk0skNlYpCpjhQ52AvQV4Ftik8WrDGFsGJnTiYAHhuQ4oc3CJ7P8qtFjprRfO0JPAlvqeoBW4kQz2wNGuGViOl3YiZakXMtods3bDKA88N+JU/mWff8Vl2zTqHpVWXNBvSsXfd0qilNGoxcRrx519sIZXCkxYlSpvQ2HwJ9/gHr17hzkcielHgGqtHKf2hotdXdAJNzQ8IvDaX70j49z++xL/+E8F9T2/CWElqXFo9B0YYGcKaK3cNAkHNEwS+y2z62hYZW60MUjmLVgrrGiVygJcpTyAjEVwuwbktWSCf6+hs6oCp6utUVFbeUpakYwC3JMa4VSgxRWFcGBuiWPDEs0dqH/rk3f/nW9/4SrG43P2l+dn2/7cAjwfPYK15QdT5Wr3dGCEIKsCSmTRwIE9SHLiVGAd1al3QmQHcVBjavc6eTcYi1masTV7ujJ14XznA8xqMPJOXs7fWed2JxPOkq9/wBbXAzTxpBCnNugN3uxkx3R6yYbrDg88N+NX3zvLMsXm2zwjmmhVpUtM0a65+pV5LqAcRnhdyamkGTwmUNJktVwaZaSpJEsWWGUuSxHTjWtYpYxiOUnojSX2gqPkevlfD01NcsT3h3//YAv/yj+GBZzeSGukAnlriJM2Y3BAGhlokGfmqkGCeB552Es3VqTibVubeePa8DsadXCFLCiGK5JAxolhdjckdkux1VV4WwLaF3DRZDUySOqkVJyYr5DIMI1jpR3zojkfq23dd9AIp//o7Tvy1AP4f//Cz/PxvzzV+7W2/7te9Ec36NEmiSVNRVukh3RKY5OAi02AO6DlT52AfB3YuQ2wBdJvLkfz1Bd6bFGURlZQgpSjAraTMGiVyeQI1DwLfUK9Z6oHTz416TLsRMd0cMj/T4ZEDI/71e2Z46tgGtk4rNjQNU3VBqyZp1BSNuqBeczeHS/VHPLBX0B/51FSW5JJOg+dNCKkRxImmWVPcenWPB59pM4idTBmGKYOhohcoAl/he36mn6e5cofhN37yPL/w3+C+vRuJjSQ2JmuWLnswQ18S+Maxt1fW0WuVH2QypZRxMsvyrgfyPClkc4BngE8L56Us4KquvGbMRbOF2ZC/LgFeFnSFsWUYSU4sr/Jvf/8D/sMf/vuN7umPDtpbv+9/PsAPHz3G7l07pn/jdz76h7/6J60X/+Rr+1n9sXVlmhlAwSClK/SRqSVNBcpAqvIP7u5yo0XJ0lXWrgDaFMAum4Kxdlx3C1dQJGQG7qzISBUAd3GBpx2T+R6uE8jPCqyClHomL1r1kKnWkJlWl8cPhvzr98zwxNGNbJ7WbGgYpurQrAmadUWjrmgU7J1SCxJajRH3POGz2qkxM1OmyXPA5P5vnCo2zile8bw+9zxsXBdNZCogl9Q8Sc3TeNpH6zpSGq7cYXnHT57nF/6b5b59G4mNJs4qAF3Zq2PyIJZFdaGvJVpnRVhSoLQoZGT+/vKbMJcqIq9Ko0wITR6m8lzkO/JrWSGrwkWzFQNhrMArb5TOjQZo1iJ+/o2jFx/be+KPm9t+4GfOnD6xumXrjv+5AF9ZOsczveVfkOGJ708Hgm5vGiV1xp6uDtlakzGoLAK8tOKUGCNIVVVnZ2DPkjM5e48FkpPMnSE9z8gV2lvmFXSl7s4rBrXC1Wdoi+e5xuKab6j5KfVaQqMW06yFtBojZqc6PLo/5Bf/2zyPH97ExmmPjY2UqYbNwJ2xd01SDxz714KERhCRmJBeFCCUxMsZvNDgImO3rEAs9mj6I1cuENWYyUE+Shn4jsEDX7qaeJ1vQGu55iLLu37mHP/8Dwz3PbeJ2GjCVBCl+VIvqMWGwLP4nutd1VncoZUrEXZtgO48OZkiKiugO6vFjVmNdSbAXZBQhZhc7X0WO2UElsvQwhWrAD3JmT6ryqv5ECjFiWOWr3Pu+6963uOH0jT+l/9TGfzEiVNs2Lh116c/8b5rPbvITZfUWe1pAs9gbQlwB3ZX9yGlwMhMe0tRLl2mBLsplu3qCRMVpiizkra6ZuasXQ0q8+U2q3FRWTClddYZlBUh5dWDNS/NdHNMvRYy0x4w1ezxwN6EX3r3PI8d3sSGKc2GespUzdLKwF2vOTsxB3c9SKn5Ce1mxN6jlrsfbeJLiadMFsSVHkV+DuJUkRjNS2+MueTiPoeO19nQoOxzDFMGo4yFtULrsp1PCMvVu+A3fmqRf/nfDF9/ZgOjuO6SYYmlkS35gYcDuc5XL5NJFIlUabHCKSkqABcVkLNGr5Qgt+MAr4A7/96k7BxL+hU5D1todWPdNWwFzsJ97kid5e4ZRumj1/7Yj/7orvPnzhzbuGnL3zzAFxfO0my1L9q396H/0u12vlvYIbUAkkRmrOLYU5Eza9YVb3KAC4yqAHtiSSvtqGwZn3RJ1rglovJ3KuAWFqlyW9CBQauMtbXF1wbPMwSeIfATan5CLYho1EJmpwas9AZ87Wn4jb/YzJMH55nPwD1dt7TqgmZNFF65c16MY2/fAbwehERpymhYo6bcTSZFZekn16wiCzS10/I6JIwsw1hUAG7w/RTf03ieRCuFkl4BcARct1vwGz+zwn/8y4T7npvjdKfNqCmZTi2txFLLJg4Ens28/9xJsQV751IlB3jxfrM3XcV5oRCzi1KurJXy2yrYKyty6Y6VUrQajOY3hqBcdaM4ZXm1z+rK6nff/8CD6TVXX/1/njp1+ui2bVv/ZgHeWT7GaFC/ZeX8vjdFvQPMTXvUA5c0EFkU7tjUIqRAGWcPlktTnjRwAZY1eZLGjr+243pvnLXHVWF+Edy4h5y9bSZPbGU4kCuL9bTJxkykBbgDPwP3bJ+FlSHv+PMGn7p/A4v9GTZMSTbUMnDXnO5uZIFlPZA0ApsxuNPetSACIr7yuM9K7DMXMFaPjRhfoVwdhqYdaF5+w4AH9kX04oCpomPd4IeuVt3XDuBaWZT0ENIlaLBwxQ7Jb/7TLp99YMivv3cTJxdnGE5rpn1BKzE0EghiN3rZV26gkZcHmlIUQXD+XA3UqzemEEWvSMnixbWqgL3idpmK1CwdsapWz/Mb7nvFKiGc+zaKXKx138PP4ddm3yRV7c8Hg+HRv1EGj6M+2mtceuLwvf/HqPMEm+YMUiYoaQoQCVH6GjZjbZUDN/NLi2i7+lxIkKrmFuOsXZUl2YnOmSVPN+cugMoBrixaOmBr5cDt6RTfS/G9hJofE/gxrfoQrQfc80TKH3+uzR33biQybTa2BfM1J0ucBZj75Co7RMbcVfaO0TrkG89OM4g0Wxr5+5lk8NxKk8SJouYpXnDlkMQ4gA9j4brW88710LjgUIuMxd2NLLLkukUwPy34/pf1aQWnee/nhnzt2TnOxnUGNUk7sTS1dSDXWRyibBaX2Azk+TkUZe24dEOX8nNd3VGwekkKNmd85bVj4K4EpBnLj63itnqdQVYkTpQ4+fLle5/i4ksu/T/+3mte9FivPzjQan7rkXDfEuDR4CBnjnwBvza1dbh64CW+XEC3A6wxpQyR46ZdHkjZCmuXKV9RXOAxrU2ptUtgV6yHqn0l7IQ0ybNyrmLQjXYzWc13Bm7lajECL8b3Y2peRKMxwvcH/MVdmnf+940cWpjFC2psbglmg5R2YGkG0Mw67OuBy3bWsoSQq19Js5XAyZPFbko/8vGVwpe2CDCpfJT8xs5rN6LEo+6N2Dw9ZHXQYhiLbNyaixU8L81sPpXZncoBfCxwdZWP3317n5uvWuA3/mzE+7+wgeWkySDwaHqStnY1OIEGX1E0Q+g86ZOtfLKQKmUCqEoq42JlPTZfKzOtmWDzypH76pPWrxQQZW6OtZLzK6vcc//el3QGydal5c6Bx/ae4IYrv7mr8q0Z3KZsv/iFF/WWn3730uBRWo2U1MQFMAtGrbBTCdRqLUOeDRNFsqC4EXJ/tQC3GLub84fAlmwi88lXFYBLi5Imsyxz5k4zkCf42kmSwA8JvCFHzyX80WebfOLrcxw+N0O74TFbg5kgpRXYLPWeg1tm4JZFUqiWae/AdzdOuxny8W9oDhyrU8smcBXtYpQoL8Y4WKfD40RzxS74rpt7/PHn5+g3NO1s9kgQZXGDMmidT/iiAnKvcvLdqrBzXvJLPzTg2t0n+W93zHL47BTLSZ2Bp2kqQSMDui+tu3EyvVusfvl5ze1DnD4vM512rU9OnoCzBdDNJOgnAF0ytyh/r/qPZtc6/70w1XzhG/u45nlXv/v1r739dYvL3W8pVb4pwFMTIoVPuHr39nTw8B5fnYV6kyQ1WSNvfsFKr5Qx2VEyds7medo3b0iosjeVuzj/t8gZO//MogS2yCZgSZkD3GSuSc7eKZ5OXOeOTgiCEF+H9NKI3/uwz3s/u5lTS9MYVWd2SjHrW6Z8QyNj7kaRvpdZnUomTTLvvAC377KXYRxx4GRAPwqYCTIXJ0865a5EnoW1lZqUWNNuanZvj1DBiF7UYugL6rEbieZn8srLJIrOXQ+hLhC8KjZMDfjp7x7wppee5b2f7fJHH51jcdhkqGvUtKKhBXXl6u/9rNtHSZFlN8lWQ7s+k0+QWgFu1mFzJsBdIbX8BhiXNVUMOEyk2REbzdFTPe6497k9Ogi2f//rbjw6CmNqgceFHt8c4OFprJraYEXw4dHqfZ7vCaSMSFJVVJhV2bq8Eye+VwV65XV+M5SMLbDrvhNbsQNtAewxeSKzKjmVOoDrFK1SfC+m5kf4XkRnFPGNJyV/cVebj359jlHawvd95nzBtG9o+pZGYGn4JbhrgSQIJEEmTVxiKHMmMoD7nst8Hjlj+dojDaLYI2jaNQFm/ijT2a4UNYoVnqd5xc09PvClPvtONhnW3GiG0LP4CXixwYsMSknnW0uRzW0sgTXmsRtJI9Bsmh7yz9824MqdIe+/q8XDe6dYGDYZKR/P09S0oC4hyAcs5faqdKUWRcGaqJz/CrtWLtEYoxdkNwH0MXDnr4uirvVkTtYral0DTKI0H/vSE94PvO6mD58933newkp/4a/N4J9/dIvcWHvilosan5qSYoSnFVIatMpaw4wsMnOWKiNnryua26V4qzeAKGRJUYtsx1anyhm0yJzJi5SyKco9ne62aJU6gKu0kCNax3T6Mfc+LfjTz7e569EpljstZL1Gq66Y9ixt39DwLA3fUvfJWNsxdz2Q1HxFzRcu+eC7BJEDtyHwnP5WOmT/STjVqbnESqZvxxMnZf2MoQR5YiRRpNnUFly6Y8hTxxMGsUeYzfj2Ixz4VD5ZN0/UgJzozMlvntyGjFNXH/7WVwx5zfNX+PJjPd73hTYP722z1GvQkT59X+MrgS8FgcT1cEqLFnlck00hEFnZ7zoMvqZ+ZZLJc3KrMnYB+vL7xQ1AVthFtheRFcQGYmsRUcR7P/LFqd3bbrvluit2f55vMjzomwJ829ThQJjoD3rdJ5pbZ4ZEiY8xysmTrAgeKnLDyMoHEWMMXgDb5GML8uL68Tt+/KxVpYmlWqDvZInJNLdBydQNxM/dDBmz0Eu45xHN5+5t8amvTXG+20TUangtj7aGKc918tQ9MtkBdV9kh8xKTjPd7QuCnL1zgOsE30+o+RHWxnzl0YBjZ+rMzwo8aTIdK8pG3wrb2bFyU8Uw9Ni1SfCKGwZ84v6IfuwxjAU1z+InjsXD2FZWKVX41Qg5JlPcUV4jlzXV1IOQt75syKtuXuKTX+/x2Xsb3PNki/OdBkPhM/Q12lNoIfCkwJMSL+udVcKiEBVpOG4frkPmYy5YIUUQpTTJalqKFjay0mgLKaJ8bS3GZENSbQpxxIGjTzeNveUPzi0tXAkM/4cBfn7ZYtLhDw4WvzS9dfYsnlCoKM3GDSsH9KwIvjihY53skwAfBzrZa4o54OO9U9VlUFSALYTJ7ECDyACudYqvY2q1mFGYsu8UHD2t+OAXp/j8w23OrzTBq6HbHg0laXmWljbUPUvdg5rnwF3z3ExCV2YqK4fIfm4zkJsC5L7n2tMOnTY8dSQAz8uWeVtJ0YsxFFSX67ToenHjnK/ZHXLV9j7PnWowrAkaiSCILaEis/ZMxt65m5JbkKVWKXz2zIo0RmXTBzxGkUe9HvIjrw15w62r3PlInw99qcHR0zWeO9UgWg1IAs1Ia6SSLp0P6Ow5Z/JCulAG/2uYvMrSlI0peSyWWkirzF2wu8WQp7XzNsTMKzQJNk448FTCHV98hg3z33xg0AUBHsfLIorCn/uvHzwwvXtjg1sujbjpshDtuRHDJpswVY5okBUWnwD1BMCpdLyXUXN5aoQon0XebZKztjDZLg8pQeAmqSZpytkl+OJXNYdO1rn7wTqnVuocOt2EIEA1NDWtaGpLUxvnInhucH7Nc9O2HIjzQ2aHygBOprkzcHspgefY291YEUcWYO/RBp4ctwcLiUJZD166CZmTYrK+xsTjql1DLt044OnDCYPEoxULQg1+4mYCqgrApRSu/r7C5FQAU5Sxmrz+PGsKTj1Cz6ddj/gHrw65/doup1a6fOUhn8MnAu58tMHppRrp0MNITewrhJTFvklCuNtJFnJFjBHSpLOSy7JcepTAN8U4OffLFVCTsbU1EKUQpwidIFXK868e8YJLIq7f/rX5m277hf/j/Pkj79q4cfe64dsFAf7Qg+9lFKb82SfPMhxuYPfWiGsuDnnJjSFX7Y7ZMpNwyUURNStIYlksicaoMpDMQE0F5BTP+V+qBpZ5IsdOMHdFiqgUL0iJU8vhE4KnDiu++GCDp4/4PHukTjd0E5XwfFTbI1CChoKGNtQrPnCg8zqNvGzW1YUHmSzxfYXvy+wGsKX29lKXWfSczq/5MdZEnFuWhDZAa4kvLbpis00QeAHy1I73O0aJh0CzYTZCqhH92GOghXM64rJgTCszloGUuUkNkA87wpFNweSVwUheqorxE4PQZ/NMxM5NMTdeHDKMhvzDIx2ePurzxQdqPHWkxuHjNeJEQaCwUoGQpLKSDSro+wJapZrhKhgtbw7PAZ37hzljpxBbNCl7dkdsm4m5YnfES28MuebihIu2pCTRqPnAE1/4/tTod/0PMfjv//c7efzQivrCvfeL1b7bru6JQwFPHWpw5wMJU37Czm0R11we8ZqbQ152QwQ2xdOWejMHtQTjxvSWkkRW3JK1J8NlQ938Ek9bEAYhLXFkGYwcox89KfnLuwIGseLxZ2scPBGw2PcJUx+0D8pDtRW+FNQVNJSlpnDjzFRWeJTNSPQ94ZIeVXB7Ej+TJYEPgU/mmriUuacNvpdkGdGYei3i/ErKF+9r0ekFzEwJtDRFyUCOg8lHkfwotLgkDBXzc4rX3DrizoeHHO80GXrSyRQNXmLx4tyzzjx2mTq7kOqsE1n8DWN15W84oPupItWKxMvGPsSes1K9mKYfc/s1CS+4MuSNLxmx/4Tkib0ew0jx/i82OHLWAyEZDDVppPLyTazOAT5hGeUAH0tLm4KxRQLCWCyu0qredAk5geHlN4S8+qaQqy+P2LUtZUrDfNvdxInxiZBct/0JETRfphaOfyrZsPO7/2oAt8Dc9MzvHT0XXDeSTai5O8qYlIVhykLPcGQ55b5nUj7y5Zj5mQRrDDdcFvHWV45cWWwCG6ZTrr8molkrb1IxVk8yfhby4TydgeCJJzVLXUm9Jnlwr8dnvl5jFCtGseLMWR8jNLH1MMIDrRGBRkuJrwQ1aallwA6UJVDW1YDrzPPVJXP7eV9mAW6V9WiKgr19z+D7eYFWWrC378coFfHVxxSfuL+F8rWz28b094UZPPfCnQ6XxKliNPJ4w21DPvWNLu//yhT9pEYz0+FersPjPClji24hIWQBMPen5LhLUWkYTlJJoh2Te1qRaI1OUgd0laKUG6Q/U0u47fKEWy+PsSLkzS8buG1KUsGnvx7w0F6feiBY7CqeeNqnO5CZShLrXuECXdZN+W3WDNc/L2Z+OnGNL6nlra8c8bxLY6wRbJwxzEyBQmDRmFRlG+CqYuXzhb1O6bnfA376r8Tgpxc6bJlvt//lb33y8ihKFUpnM/UsSOPmPdgUYxJCazjbCTi76rTS/uOGz3zVLTHWWKZmUm65NqJVdyWU66Ynq7d55jqs9hUPP+XT7Siklm4mitWOmYTGzQXWIDVSSjwpHJilJZAGXzog+Ap8Vc7ocyAXZcODdo0AeeNxFdyO4bOyWi9n8LRyJAQ6xtqIU4s+UVgjmJL4WdpbZVV5Y1nMvKOH8XxA0Z1uFFHsMdNS7JiP8MWIYRIwTAR17YZg5jUkeUJLyWp5qyz+lvsbMkv+mDJ7akzWM1lKoyTJ5rErlW0+kBAnKSp2uQStUqRM2D5vshXDcOXOEZEdIrWh0xE8/JRmdSBRhWIZD6qrZI515bPNmuUF18VMTVts6s5FXQqUyHMnHmmiSEwpf9PstZPEFlSofL10eXvLP2xbs9QVcnyA5xqAHz+9yLmF1Xd944nDL1vs9Gl5CmshQZBY90fAZpaNAZMWQUFiDR2TBQjS0l2xnLm7qrvWA3hVv2UXRwhMPrSQrOZUqDLIkTKzsnJQZ2lnSbZxa+4bV5511kmvyLbeowC3a+tS+Bm4fU1RYuoYPGNxbfCz7KjnxQRBzIlFw5/d2QTtu+lcspLgGQPfBIlRMrhrIJbFYJ0o9nj7a4Z88p4hz55r0U89GonblNZVAdqyE0flOYFqsJeXLuZSSFYKvPLDFLUwWiu81M1L8TKgK1kmzVzdePZamGxwUIoWFmFT5huGv/ciAyIti+5Evn+GXXu9Cx9RYI3GJLl8dfFcbPMxFeUYvqprZ2yZg1GmTzp89mXJ6PC7sMk//pYM/r4PfBkphb9w6hxzgUvhppBlk9xgxsRmYLcWI70sCq5Mlcr1CG5HhTH730582LHcryy/lwUvQsqiBU0J8IR7T4Fw1YKedF9rSVZTkXWP54VEmsocFLKd2cqu+hLgspAtgW+LljbfN5XBOQlext6+jpEy4thZwUK3htCaQDImT4r0fMVCG3MUKoVnZSDoZvzNtUN2bR7y3NmQYaoZpRCkAi+1eEmmwxMKZ6k8jWqsUyHnFpNdr9RU/54gTQ06NaRKonS+fbnKitVSpDLZSmFKazYDucj/NmbCyi2rS3MHrLy5i2Jn91w4atWMtyiAbTOXzjF4Cfz89wSKcGmZfvhZt3vvtwL40SPHEAICM2C25gbV593Tqc0mS1mIs2mkce4GMDFknrx/skhVrv8Qwi2r+VJeWFC55wpagCcsnshAm0mA/HXxvYzsy1JQigZbXwkH9jFwS/fs50DPg88M3Hn3jzaFRPG006e+H5MQ89lv1Dm3UMebUvjVGo6qg8KEIh0rPhITQaBiFLoJtq9/YZ9vPDmim9QYaE09MURZOj1vMinq4DO3qewcygPNMg3urMNspoolm3Ig0EaQKIFOZbaLnavlSTKgl8k0UyTYpDSVxJsZS8KV1m7FI1tzAqp5ECYAnksrUWHwbPBQFezZxgZmCGp4cl2FMAbwD3z0TlrN+os++Ml7bj53PqXlu766fGZJYiCVboyaLwWptSTZRUryE1gY+pVCqvVwnR95skCAyp+FRUNhtaksZezmm5QaV+XAlm4/+XwUQhXYxRwUhetHXA/gecCZ626dyxKb6e3xWnLfi/G9iLMdw6MH66B9dCZPdKVAKc/2iQmEO/u0UnVX9KXKwhOPY48bLgmZmx7SWWkwSBQNBV7iPotKs8GlcRXgOJAXf0hOVGqKrG8yA4gypEbgGUGqJKkypEqQZCCvFq/l5RAyB3kO6sqELIEpGl8ogJ4Ber1sbqU8o7CQLSV7ZyuPNeW5MdZNzypjCEitpK6aN2/c/vIXHdn7qnt3X/nq9QEexTG9vv17vjLXayL8QGezK9zgHp3NBdTSFl0Yjr2rHRwZuJmsDBv/gFWAC8rBOCV724LBJ0s4dV4bkdWA56Wers0p71RxskQV3SslsPPmW8femebWFHo7twQdY5fg9orqxBhBzB1fD/jG0y1koPGlcPO3iwrCso2urPibzGZm5cQFi7tAMzWK4cjj1quHfNftPf7ojhZRGtBPJbXUEiZkK1e16s9kcs5M3FAXYnIwWhbdVjm4UyVRyjhGlzIbLWEqpcjVGiBbgnyCvfONBtwiPUFxwo6XZeQ3IaVkqdYymSJfkD1nnn5+RHEKSlwfJ8O/l6bxvesy+LHjJ5lqN1/zic986Yc6K4tMNZSTIkkGntSBW+YNo0KUdQLVoppsl124gGkyUcMgsoxlzuJFbyVlzUN1tEHO3G4LkvxrMganaMMaY/GsG8ZT4+B24xQmmDvr2fSz9jZP5w0HSeWIiYj50FfapDZAFdnLaoBZ9jXmzsaYBmeiXc9IN0ojzYNNjcDjrS8f8OefDVk1McO0xjAVeAkFi0tpkYkois6cXTipRWXFmhQVkAtSnXW6qwzk2qKMkyupsqjUVTC67LEsSpNLi7Ja3VmWMec9o/n1LW/r9R+lDqfIeJsqyAvGLod9JonriApjzXBhlcbs4IeuuPbldy8vnb5zdm7rOMCTJCEM40vSeLQHM6DV8AhjWzCpEM6Ql6kgFWBkzuCVGt8M1dUCqslk1mSpZclwdhzgE68nNWcO+upsD6VEqcWziruxYTcZsLUSpZNS2IGu4941JtuMucsAU1fYO/AiHj0oOXC6hlUeSkp8adCTdRoVAT7pouRH0fFkRMWvdiCPE489W2OuurjP/fvrxMpnmAhqErzUohORybesCyfJdDjSyYWxPykqLC4q0ijvi8zdFVfvkuaz2zPpV4I7rwWyWZlAzuQUq0fO3nmAWc5aWZPeK2GfS5YKyMcBPp6RdRuOScJIMYok3f6I6U2jPXEUXRJHyZ1rGDyJOkQypOYnzLY9hpEEa8YGXOYOqxAlC8j85xUWr57UyVclc1deT+jVHNyqqPkubbdSsgjXPS9KcLsgUxTd4roAtxwDeHX4j+u2pwB2ka0smDvF1y6x47qCYiwxH/lKg6WlOiLQznev3oSTNSiV1WusAMmMs+qYN20UcayZn5W85RU9Hj3YJkxrDJRPPXVaPC9nVZIM3PlaYTJPvJI1RJZSIP+b2bzH6lQqd0iUqew0bWyRWJIyn6Jgira5vMvf1alQkSsTXVgTUsV9Pd69NV5yTRFsplZkw6JK9o6yDQAGI8Vyx3L6fMip00uEUbhWojz7+CfQStJbHtJqBaSdhEiDTsGoTHbY8o1V55lUgT0+3sEW17UqUfJkV6nBGbvzJ0EyPl6sZOzqkM+8PtqxeC5XJEqPA9zX2QAgL986MMtwaotXpOJN9jodO7RynTvPHoMP39UilD5Kqix7OX4jTmYwJ5mrWlI6rsNznalIUk2Qat7y6hF/+vkBTx6uEyuPgZT4qcncIzc5rDxPbqpBXvbgHib7W+P7FlWZPDWgCwvRTf1VWUmASm05rLOYyyKKGzqZ0ONlHdF4g4RcF+C5PKnip9L5lT+P1dSUMiVOs8aQWPHgI8/y0JNHxlhWAxw9fopdO7Y2fuWd/3n38rkF/Ew/VlPNKisvyZcTKaozA0V50exaWZIz9TiD22Lprurv9SWKKIAzOQ5ZVhg7DzLzqU1a55u8ZtpbTYA7T997eWOycTNDihaxvKczyY4Y5UUcOKXpRT4onckTO1EeO3njjp+M8YFGE1541o1TJn40TU9w+bYRTx6ISE3A0PjUUlezrTMNroQbfeYSS/mKaciDzJLJKzZclrLQxWBT9z1l3F5K2pB1EFmkKScE5NO10ry7vzAAbCk1pUXm+nsdLb5efU7lp6WVymSwKcbJNTuEkFxx0YDrnze1+7aX/kLjV37xpwfTM1scwM+ePUev2331xdt3/sKpI8eRNUU+w6PKvDnQBS4IzknCTgYP6xSbTGrvAgByHAglsMs+RlVhRTU2VDMHOWWNtKqAunidJXkUmRfuwO0AXA4F8qrypMreKuvr9COWe4b/+rEWS8MaIvCcPJF2bFUpB+dcuCKjAHrGUEUTdsUpSLM67nZD87Pf2+PLj7ZZCn0iqRlKiZ/1UJYjHzIGzyt+Ml2cl9FaTAZuU2QOS2dFZAxuiyA9B7uSImNwJ4nSwkWhkCmlDi/bCUVFf5dBZwlwsQ5cJkttcwljCo+8gp/KvxH4gijUWC7/hRPHDtwbRcNPFgx+6vg+PM8nHZ5h12ZBajSDYUoYOxcl14rlUpO9qbF3s/YCjrF2FeAT7Ja/0RwY+ZSscYkyPpimALZ09enFhKYKqLWU6EyS6ALgueY2RVDpaVOA29N5/cU4e3sqxvcjPvgVj2cO1UF6SCkJ8tLYirVZ7BGffcgLVhNW2LzYqaIiUxLjWs6SxOOaPQO++/Yuf/r5GkYHDKVPIEWR9FFSEIt8BPJaJhdVJrfjllwhVRQo61YFY91cm3y2o2N1QTlWopxFU06mdX2cQo4DPHfEqsRGZX+gC5JA1azI3zMUN5SnDYEv6A8tqz3L8TMRsnaC5a4iitzGEBrg6j0uINvQMGxtDzD0+cBpV83nqQndJPOCGb4pPRUd5GOgFsXP3NYZYl32LgNLUbJ5wZDfCuCyBLiq1FDrrC7Fo5AinirdEq8yHKjU3I69Pe2mVq10DJ/+aovFTgC1zD0RlWDsAhIl/5xrLtx6tl2RtZMuoZEq4kQz01b8/ZcN+NQ3Riz1AyKlGaYysydF5t6IshlblmyZA9vasuvHFGxedrvr3FlR2WuZfZ0NT83PexXkQopK930+xDPT4YUeH2dz8lVmTLZm3viFMFVhWJHNwNQKmvWUYZjy8H5Jr5+gWwbdlIxC9w/ppYUn8WvzF507effPtWuPcNFVS3z0Xp8njm9EJYqpmvuHiu7w4qJNJC8m3ttazT1edlJ8wALY4ptKFDEG7PHZ39UOFzfcnXFw5zsb5MytKsy9hsHzcRPlyAmtXObyyFHB/mM1DAFC6qI5t6werMYPouJqlB++WotSMrmoyBNROBlFu1mqwWqu2BWxZ8uIpefq2NR3LJ46maIrLk4Z3FULvfIaIVnatzZjc1v65EaKwjqsxjbKOAwYSaa9M7kqSzIqwG2E099FO125R1Hxugqd7L0WTt2kvM1/2VZdNQfydiNiqtVh2zOGD31lhsg/wvU3XfRz3/NdL3r85S95+qg+cEowM51u/tID6jVfuusMV1zu8cG7p1ha8tnWdrUnUjo7sJQUYl3JUQX6epp7XJqIwk0ZG1o/Jk9ExZkQlWCzBLRjcLJRwFUfvHpkW1qrKrgrIM/2q/ey0tCcvVX2tdYxSsV89v4WBxbr4JfyxKtYl2sl1zdf5cbHJ1RGbExk7VLjdg2+eD7i9bcOeOjZBhiPJHVa3Euz7G46LpVE0QWfQye3DWVm7Yoy2Mxfy+y1zFYVmR/u3KfZiiFzoJt8hbUFMY1JFaoxiXs/a7W4mMCNncBNvhJkn0HmAHeZ1U2zlp99U5dtG/tcuq3Ha2++8TWtYLS5tik6qrfORczPhGycT7h//xSffnQj2vPYWHc7k026AdU5e2NC/wLPOXtN/n7JLGKN1i5liijKQCeBXbC5EpUm3Aq4s/mE5bYdrAW2LgcEFSPetMlAnjh5omLqjYj79yk++dUmw5EPDY2WAk+MS5PJ91+9odcFOBP6e8IyrPricaKZamne+NIRn//GgAf3+dimxzAN8AXFjabGwFR6zUyAvJqZcMFndoMpx+apdHrcVFg7D+qNzINKUdHfohLoZiRlxESgOf412c03vrKX3y8KSwvCcJODq1ZnagT9YcDW2QY//+YBpxYSzi5ZuhZMYtF7j2nmOoK9x+qc6czRqgdMB4aWb7LZHlV7rsKognXe2MTduF5QmX+A9Zh74nUhRUQJaqkquzcokdWmlOAuQZ6XzWY7T2TMrbNNmLQaB7pXsLU7lHIBpu9HxFHK5+9r8OzxBngeQqoMVNnckEpwKeTEjTwh03JklynpLElWydiZSj20qdiFUaS5cmfCa1/Y54mjdcLEJ5UeQ6PwUybeS+6FM8Hg7tlOvBdUfrMZjBKoPOEiBVZlwzAzPV6sqBKkqcwyNFTYe21MNYaXCdBzIbyI8nesBJu6f0MK3DyZRDEMfQBSo5lpQnOzoDYVYpIY/R9+//NorVle6bK55dGupQSq9IhzNtSqDPTGluIKO+d/eJy51mH8igYvP8B4cDkeYJY7EJTSpGIVFoydA7ycnFpIlIy5HWPbgql18Vy+9rLgUquYwI94+pjgzm80GAx9aHpIkVcOUrEH18liVuVcrt8KHZ4BrjJZd7J8tpxroopun1Yr4rW3hXzqnhFPHA5A+4yMxM+0uMqarsq6EBBptswL4WorCrCXwLbWrXyFdJGOzfNVJb/2efZamjLRJkzVTclW3SrYq3HBpIU6QX7OxMjeK+M3iDUCq0zlTGbj63Bb4kSxIvAUYvEh4t5zGJOgw5XzRFKi4phNLZuBery+Ogd3uQStTQQVb7YK+DVSphr0iDVAKOSIyIPKSQZ3eruazVRZAJxXFLp2ruy1rs4HnwB3dnj5FNqswF+rxB06xvNiEptyx711vvZ0HWoapGto9iolvGOlsdWj+sUFNHh1TJnNNwAwpaOSt2jlQA9HHi+5ZsDrXzTgmWM1ksTDCsVQaLyU4j2JtGRxMXZrrWXy8u9blMqZ27G5+1oUGxmUbpYDuamu7jmoZSkxc5xQBXsVHxPBsLsxJmMz67q8BKgifrClC5UKIqXQkWYgPYZRgtYdd9Pu3uje9GgEnR7FCanejdUERvnmJ9i3wuKTzF6Cevz386WsdFDEGNgLYI9JlWqavnKoCXCryqHLTVBzQHsVUOfOiXNM3LNSMb4X8/hRyYe/0gJ8kB5CqKKLSGUbqVazrtVzUuGZCYBRqYOuMndFg2cXzqhs9EOxT7zGWs1bXz7ki/eNePiQmyQQG8UgFVnBVwa6NGfCStA2FgFkvbaKMaDnP1UZ6I3M9vPJg2JTITyb/S1biZtMCcwy+C4nfBWltGtW8nHHxRS/W+LOGLJtcbJ9U40lTmVhj1proVdHSB+sQW+YVkglGAxT1x6UJ3XGJEMVdGslRamfJt+sKAMFyg9J9QOP/XsZS+cartD8YqzQagzkWWtaudmU29mhHIBfgnuMtSvPeWNtLlWUSvC8hDhNuPvBOk8drIPngXTBpS/KrqLiHBWrzvoafBJatvKiaICo1IiMVRemEqMyRyXVhJHH1XtGvOQWx+LD1LF4KHxGBnSa++FZnUrmHSOoSBT3BsYqPyvWpZJglUVagbK47KcVCCuwAqQVpVTJg8oCKxWc5D/P5kqWunvScLBrMVQBuzRkdeeiiAfStMQIWTAdxRCnPgYPgUV7WiKlwFeSwMsH09vxu0tWTljBznYMmONSRVTuVMdf4x8u/2/HHZPxPWImZRHF3jvF7sV58+1Yw0O5dYlSE+CuDMUv3BOVonQF4JlE8XXMgTOC932+RRh70PAyeULRmqaquwTnq1RFgo3plTX6ZBzoVZlS3RxgrBa60OKaZiD54dcOuONrTfadcjdfahSDVLkqwzRL/iCc/k6zazaxkuRFcVWAlxWionAtpLFY6a6RlcIB3FRipZzJTemIVclOZmAfj99yEK+z4kNRNCaEc++FkZm+twUOq8GrBeLYzTV05QkW/erXfc+m/fsP/PIDD9xfZANtvqSO3WFy3LKRcszTrgYE+dd5PbQc+3kJbDkG8vGt7KqVeZNFVrJS+6EK9q4AW+bB5Ti489l+pd7OXktTau8suIxswse/0uTxA3XX7iM0SrjMpc5qsKvNxVWZUrW3vuljTIOXVqG1eee4ccAeA7nEGE008rjh0iHf+/I+v/0XPkOjwWhiIRkaFyMUNl2axwgCJpyV3EHJA16szdjbEZ2yYDPv21qQOfAzcEubkZEdX8XkhAowa4Cdn6uKTmecLNwNIbL/Pvssxfcqdmh1ZbQQeCHXPu+aX96xa89P6cXzJ6fjqPc6k8YEE4PEx0G+Vn6s56SMOSeVn43LkglQV4PWSdYeqwO3Y9q7AHpFkqiK9lbFTg+VjaiUnZAkeaVgWoDb0zH7T0s+8OUGbv6KY++icz//+4Kx8cJFVWSFuKvM7kTiWv3tCq6qtSHlXMF83mM+A9KkilRlWjzVvO0VAz5xd4O9Jz2QEVZIRqmHJqsXyc91mtFzmid+cuauSCdrs9YxNxsrf28yuwll9chZ27q/4fZlcgzuhpqNy9j1XpvK+TGTMdqEXncsniuKkv1zrBWYFTAcxiwsDl4XJWemta8Tap6hUZNIVX50UfkPxmXHuL6uAjT//QLgjIN5DPRjQeVa/TZWA54lE6r7yJQavNwqMGdxNQFuN5HVZM/ODlTKoHK/WyUomaAyBk9VwmfubbL3QKm9pZDO+y46aNa/aDkzjZ2nCZUyXqM23oA85olXOlm0yZptZZnCj2LNlZeEvOFFfQ59ICBKFQhNKjRDIdBpZt+RB7q5oyKohpNFCGxzXS5QNmN0nDQp2Dw/hC1T/MJ1eEnrnA5pGPPBTYXATCE/JjX4ekZFiRGqcsaU2KLy3+SPMJQsrhgiE6PzzTeFdAVK1TsBygs0mWYfc0Xy368ye667KzfD2JuGtSCZZO4J1s6/zlk7B3vO3AXQVZXJS92t8iBSVqSJLIfmK5XieTGHzyh+/+NtRtIjn6BVds1nK0i1BroqScoT983VSZ5gKbJytmhhK1P24w231fqU1GiS1CNIE/7xm/p87O4Gh05rUHEmVTyGQqByeZLp8SLYnAB57s1bQOc3XPY9mcsWSgZXmY0obSlJjHA3lJHuv6kCuwp0kSmlMXCPxXCT5sWEGVE5v+XptmPn1vMg8CV6FKZEkdt9VakK24jy9dhdVclUjrP65D7nF5Awa2zGcf1aODUTrJ0nUsbBbUqJIscZXI/527nOrurvyiEdi3s6ohsZ/uhTbU6dD0DpzBqUmTyxY7538foCF2pyn8l1gU5FqhSNB9UezTyFL4ujaIaQijTRbNsQ8pPf3eM33ufTid3UI2sloVHONkzLQidSQWkbliAv/9/9RGVIsZaMuR2r52xurZNABYNbd53yPgFblSLrSpR1PHEm/pt1fjauKirnNsdY9v3AdztQ62ZDMRoqajWFpyWV36+AveTyqp4e/2OTb7gEdeF/XqAgKY+6S4lSZW1bsQbLInslqoCuMLk2GaObQpo4OWLWSBWlkuJZqxgdxHz0joB3f6RNaDxHA0IV8qRoKp6wxMZ0d3FzV2G9PsQrM5IqVmEV9HnK3u1wUAy7KZI/bivwmk746Tf32X/M572fcVocFKmQjIzr3ZQpBYOXBVj5xSpT91W70oG7lCzWZmwu8srDnM2tsw+LxI9LzAhZ/q3cPZvU5tUYbxLkYwxe4G5cPrPO6yQR9AYS7Qt0q6GIRopGTSGELLbSXn8ZqDD7xF00Cfj1GW38GCvMqSz3JZNXwJ1v0V3dMlCVxU5KmYpUyUFcYXJZVgeOPyeZ7x2zvAIf+3KDlTAHtwO4J5321mJcnoy919wuq563dfBd1do5yHOrcKyqb3LrRTNRJy4lyiiM0SSpZspPedMrB3zi3gZLPQUyBqOIcXo8rzIsADd2q12YyV0eqEwK5fUp0jrNbaX7nmNvB3ST3/yWCdZmXbAjXHntemC/IHuvA/D8XI5Glm7foH2Dzi+WqzGRWGnX5ZvqUlENIid/tiZgmPj+utJkPWCLcWkii8Cy2mAwHlTmw2lKcKdjrF0yd87aJXt7jYQ7vlrjwafqmIr2dk0NuTwZrzcpWrOY+Lxi4rNfkMQz9qxYhdVtsKvNENU9R1MrUbb0xZPUQ5uEF1wT8V3PH/Bnn/VBRSAkVghCo1FCuMlheaApSlBPyhUqPrjKeyRyHZ7XzshKoZh0TenVikpry9jETIJ8DUZs5qjkwF6vZnwt7sYkSuWRmjwxZdGrPUN3kBInUAtY8w+PkdAEqMe+d4E7Taz7weyYY1IGl+P9faUcKYFduijZ18qisxFjeY2wkytVcKelYyJNuRubdO5J4MUcOi553x0tzvZ8t9+1dIPelaDcsaF6U673uaoybR32nnyMJXoqzF5tRq4Gm7ZahJW6/XPcs9v+ZFMz5Ue+q8+9TwUcOidBxIDCIBkJWdlECqpltIWNWb3hqnxeZDOz61Bl8wqY8xry8aSge50TZ1E9KErbL5e81RETOZgpbsb8PV8A4JUbwNPQbiimWxKdD09XWcHSekvB5HIwCfSxGyD7ujiRVE5oDg5K3V1o7vz3K4Au7EGVy5UJkBczsidfp8XQyCKhIyu6W6bozBb0/ZgwNfzhB9t87dG6622T2mlvKV3XjijnrxTvNb8JJ1etCSavnv/qKVybwSxdi3KP92r5bLWM1rWbFTOzU0MiNSrRvOTGiJ96a5df/UOfMJGuEdVIksxVkVn05t5b7iNXjEvrWtKovD/3tajEBll3vc3tQSfR8hsgDzBtBtw8GC2wkGW1zRhG7JjbVr43KILiHMQTxFESbMn8+bnSzYYkDiWNmpu+Wv0PLsTeYyCfDALG2Nyy3pJU3tlVHVsOkakC38kSU7L5xCELe7CcgDoWXMpSluhsxnURXMoEz0/4ysMen/hagzDyoK4L7V2wdx7gjsmTdZi7guIC7BOJiCrCq4VN5aiEKrjBqrzKcLxWPDUSaZxUyYGeJJp6I+FNLxly19eGfPFh5WxDJAhJLDTDnHwAYbPWsopccaNBxjW5Oyp1KTJ7n1lTRPG1yEprxTjQc0ekqG6sZDnHyHTyuWiGqJ7DsnZ8HI75f2RJkpTeMCUYGvRMy0BsaNZK73M91p5ko/ILOwbw9d5wvhuvnAS8uEBQmRXmFI5Frn+L/dQzF6VI7uRANhXmrgC9Msy90N7STYld7VvuuLfBvjM1J02EK4kVufYWVCZI2TXgLiRL8bmrF+Ob6JP8clmKFPlY+WxVqqw3F6RSLy6lQpoUaTRxqLlsc8x33d7nwb0+nShLvxqnxyMU+T4Q4+CuaPDsvVtccqe4IaXDSAFqXGApcx0uslR+ptXLaywyRrcZDhwwZGWUxFhMMKEKCjafJNexr8sbcjhK6fYTvCBBj0JJGLsfq8kO+sm7ZD1dPvEH196VtrCDqj2Y1QRJDnxVBJslsKtgzn8nlySyGMyeg9xOgDvbmaDynIPb0wmGlP/+2Trv/ngLK7TzvcfYm1J7j1mDa4G+XjB0QYxXZEl+Uca98KpMWdvKZoqh8AaTSox0vriShjj1kMrw028ccPC0x7s/oYmTEuQGQSgkyuSDJDJwV1vbClAL5wMC2eS37Nu5Ds/uTZkxvMg0efY75Q1vS48cUfzMFudsQn+LC5w6sf7pXA+XbrcOie4NLYORizwD/8Ly5Fs9xNgFLscFuDt2nLGroJ4EeMngtrQHi3Fhax0TmYNbTcqT8T3rVbb3jNPgMZ4fc/Cs5BN3N+n3Pairtexd1HxXnB1RJngKTcna12si/gs8bKkBKnIg1+JizD2xWdNBAXRZ2f1AOi0upSaOU1rNhDe+dMDnv17n4JksqeCGU5MKwRBRrDbCZOC2JdhtAerMLSFL/uTXNXdSRPme80ymRZSJHvI6bVHp1imlnTtTdgI/JejGWXw94I2f47xnIPDcNuy6WfdJY009cE25F7or/koAt4zdhRfW4ZnOZnymXmkLZmCusHg+0VQpN/ixHMxe0d+V7TZkRZZImTkmGZNrnRDGhrseaPLlx7JqQek5gE+wd+HgCDEeDBc37ngRWo7w/5HzV7B5kbovD2Pc8p/LFJtvHWMyBjelHk+FRKUSIxRxqHnl9RGvfMGQE5/zCI3T4cX2jmhGAldxmIHMCWZXSWWNw4IqYJY7Ktm9IhxrW+mQnfcQVPW4zFhA2Nwjz9maMbA7/IzTtlgP0JPfmmT67Eawqc1MAg+9c+f21aVzw8+HHfk9/aHzPqvgXJdxLnAnVZNjBYNP3MlVxi5qJKrLfnW4egHsHOjlLgNV50TKtXq7agfmqXgpXaeO9BPuedjnnX8yRWp16ZxIl+zyBEVLWsnYOYNXHZ/12fuvkMQcu2Dj2cuK11yRK4Z86lVWjCVKR6XQ5NJ548JoksTg+ym/+KNd9p3U3POQxPgig6z7ALFRDMlkRP6GsngAlYG98kFKLzxLvuXvtzL4hzwIFWXvvhRrGd3JbzGGjwudK1E9XevgryoHjbHEqQJZ//zmLVtX1e23bOqvri4cSlJ+Kk3TSgNv2SVTHGJtZ81YeetEUVQ1QzlZz51344xZf8XuYdUAciKZk9V4l7agqWy3YTKtbSqyJK0kdFyv5cllwTvfN8W9jzXdpjzSz0piPbQU1CUEkmyTq/Hm4rVH1gBdDMkZH0aksnYvqSYapiu6vvxaFDU4pU06XlHpznll7omsEoYd/5mF+bmEQFsefNJndSgnlhpZTBEXFaCX0kFcAGrf7FEpxp2MMXA3b/V7k80exQ0/sYq5OMS6Tp6x2CS7DysTapuNOucXln/k0See3adPL3rOyBeWhh/he7ZwC3KHpHwzZY3CN7uj1k36iFKXy0owWbUJi/l2E9JETmrunMXHgF11UqqBZVYKm71O/ZT3fWqKT361ia0pEMqhU2iElGP9lmV/4zfpmC8YSJQf/ALno0rcduLrAhAFq4932092+OQ9iTZjbmtNWaMiJNIoUqGRw5Q3vWzIs4c93vUeTRQkY0urNR4hWe1MHjXmbW2irA8HnCY3WXYzY/ec8AvWrrgqpRc+bg+XLZGiZGC7viwZPzfjnUfVkhIp3IriKZhtS5oNRZoKdM13H0KS7W7g5Tq38kcKUNtiUKOtXIj17+PyBvlWAWaVeUpgV1yUyq4CUpUbIlW3t8uZu3gty6SOLGpOUr74UMCffK7JKM2m4IvcGsyylsKOae91U/NVoMOYBh+TK2LNGVnnAorswrmrvCajWZzzsibFykpmU1acFaFcYZbMirOkITWawDP86Ov73PeEzxcfc3Zh7o0jBcZqwjQLOnMtTpmOzwR3Fljm9qBA4bR2FeRS5DeCHZMmMvsn1tjE6xDAGoBXWN5UA/LK/SCE20MKC2HkiM4Yg56fTrIPkKBF4ur7pVve8v/eNSLLokbCTFyAsVut+IPZ5Ru7+BPALrR3uZFRWYsyvhfMGHPLikU4yeJV9pZpGWDqmEEIv/7HUxw+FWB1uVvymPbOJdIYsCcAzTpgLiA8Efl8E0FuJ07deEazWnxV1eNra1OMzCoOZZXFFSI1CKGRkeHibTH/6sc73PcvAnqj7MMYWbyvVLq9OB0dujfhtvrJwQ6YDNQlg7nGhzy4NCXYRV58JSY0uF1LCBcE+JrYpMSfsZWG6Uy+xxKi2KI6CYPQ7WChL9rRRAjltjAZjoDsDrf5JkAUe7eM75lSXow8Npm8jGO2EJOOSg5mU+rOsZG8OZPnVmDJ5FVwyzWuSWV33szz1jomSeF3P9risedqzvOWOXOXzoknxmVJ/ly9IGMzUNa4J5Vm6gvykVj7rcrFKxsgKIuZrCtmWlNtKByDF0GnkQ7kqcSI7EgzqWIMN1wR87Pf1+G/fHCaKM2oNr9QVpCiCE1Fi0ubzc3PNEQuUSoBoRVZ0sdUgA6udU1QSt2qpKMEes4BY05IVbuPAdsWmtxtb1kCPj+1SWJpTrUIGi3iJEVfff1rUV6b7uIjnDn0MRLTLAc/FnuoV3bGFQJhhBM1Y5pIjF2+yW3kqlKlrOWoaG6x1j0pd/SqsLaY0N8yzX6ernNkgWUt5UsPBLz3oy06Q895gJnnjVAIITLnpMxaVkt5qzq8rGlfZwbhWFgmSqCsWXPHWXsN3seAXoJ8nLXzqbA2A39VqjgbMZUKaY2rV0kU7ZrhJ9484JFnAu66X0EjyYWz++NSkBjJiDLAtBK83CcvgJ1RMZQ+eFZQVbB4LksqOlxWgV5h7uo5HDs/FSlS7CNkq3sJuZ3/8i1YjIXlnuF7v/f5vOrF17G82kN7nkJqTS2wtJtD4lRl+5+obOije50k2T7xKaQZaAsWr6RZi8s7MW+uCuwyE1gCPJcqeSpeFGAuNx/NNz8q0u5V5lYO6LJSJShlgtQJzx3V/P6H2xxc8rOKsor2zioGvWzWSeFsrBdUwjhzUwG2qDBSdRmbfFSi9jGQT8i+8gJXylIn3YUK2MvdgA1GuvY2kUsVYZ1UiS17ZhP+8Vt6HD2rOXBKYHVVYAmQHmkG8pK5BZgs4CxAnKXyC4BTJHgQdgzYzhMvpYuslOkWpLCOS1jKNFs4KUma7badCpIUomx7yzgVREawMEqJhEZ5HmgPnaeWlTQ06wNSI4gTjzh1u3wppYni7I+nFI2mbtZ06dNOXsQxSZItd4LSyqoGmMU+L0WiZ1xzV2WJlOsnc3I2zxsbpEzwg4SzHcGvv6fNJ77SwHqqTMd/E/ZWlRtwrXMyrh0nkzpjbCTK81G9enbyKtq131tbk1LV4Xltii0ynFZmCaCsA0hmLO6kisIIQ5IaPOlclU4o+YXfVJxbFRBUqNYKLJrESkZj8kRkWiBj70yuWAnK2DENjhSF95KrfJvPS8kbaqqBZpEgnIhRKCWJsW7QT5LiwJxCmAjCRDBMBYNUEBrLMHT7uLobUCCFUHj12tmTi+rOfWdm8P0V2s0+zfqQRm1EzY8IvCRr1i0968mCqeKQVWmRgUTZAqRl8sYUbF3V2KrikJR7Mq5jB05kKqVMkSrJXrtakwjDZ75R50sPNbJaE1UAe5y9y12Dq/MG1y2mqiyruRavAnuShgrwr2enrqM1y8DKXSBrqiAvmTvv9HHzVJyELLboNtV93rPv2bLiUFjJq58/4g0vHOCLFJIETOWwKda4bdpHBkIjiA3E1m3nnuTbuudywbqh/QUQ830/i2H+pcQoPe3KjsvFs504SkOjlCfub4eJoBcLliLJYggro4QoXOVVt1p2bY7vRDTPaqVQ/+4//B6N7TevPnaosRp4wx+8YuuztJvZnjSeKU9MZX9wk9/tGT2N15yMb9haNguXoK/eKHkCp3oDVGtNCuCvG1BWO3QqulsnpNLwqa/V+XfvnuLImSBrYigTOq7mRBBIqGWD7HU2Bq5IdK0ZLpTbh+UY6WLKrQApJcW2KmJ8SL+b1CXHEzfVRFn1qAa01Rr0qgMlyvMryLYRyW9CuXbFyS+SEG7dn22nXHlJzInzigPHtbum1TFRmZVohdvKr4wvyrmL44x7AU2W/XtVP7twYSYCkfXikTEdngE8SqEfC5YjyeowJo37EA0h7vOP33wRb39V4/9Keo8/cNONr3F79LzlRQMMlraOePqIx0e+1mZhVfF9t4942fU9osRDjPyCRapLajF8RVZ01RizV5M61WrB6vZzk/ufmzHtLeUEuHOnpKgzyXV3VinopRxZlLz3Y032HQygpQq3pEjsZEkdv2Bvi2K80vGCHfNV4OSXWYwHlOtXYpZh+HrJHsfaZiLhMxFsUn6dp++lILMGsz7JSkJICFvocCnyrnxNHFquuDjhR9/Y46GnfI4u5CZ2/hbdh7dWkyAYWVzNSaYnbOaw2KxuRWWlok6mVPzyTC6MuSkAprIarr/4TZzA8nesFQwTQTgKef1N5/i+F3dYXIX3f77OVx5uoIImvb5rbtAAF+2+DNVo8vhjK/zan5/gi49Mk6SC+5/r8+s/dp6b9qRZ0CkKBi/qmKGIqNfageNbypWJk4rvLVxAWdR8S5t19ZgKo+dyZRzcuYMiZYoSTpponbLcE/z2n7e5+/F6WSVYALuUJr5wDQ1lQFl26ShRZcy1weUFrcJvdaHWeVS769d4v8VzuTmqFc41kUY4hrUue0jFZRFCkgoQxm3vnduGbp62xQhDOjC87IaQf/r2Lv/+jyUrw+x95FmZTINbqUiMYJTr60yL26LqMAtCM3lXSU1S2feqSCjK7J8WtuwVWA/MVN6Oe5FNEZYCaw2vvnGJX/uxHpfv8IgTy6VbE05Fm9l50XXEca8EuKpvA3HJXf/to19/5/FT235hz2yE5wlGgxl+6wOSn3uTYOO0TxhVwF1hqbG7cA2gxxm8agmKMbauyBThMpZKlOw9ydx5hjJn7jyhMxKWP/x4i/d8tEVvLFtZ6m4h3Jhhr9Dcdt0S2MnsZcHUlQ88GRYJIccu1F8V3GPsXMloVpfoyXrxPHUvi6AT19VuZGbRWbeBYJYISoXMAmtLaiyklpYX81Nv7nFuSfE7f95mWOVSKTKQW6zMmNy47xtj8YrA052XnLmp3IjVHoD85NrKeSUbpF+RBGtWwTwGsnn9EpYXbQv52TdDTW1h3zGNlinX7VFcE5x/59Kmy++q90+WABfqUv7Bz/y7gZTyyOVbNOFwhNYSJQXTrTnOLiiweXBXaVagTOlPypIquFUhR6rMjWNuMe6WjLG3sOuCWxbgzrOVCVIl4BmePeDzl3c16MYafAVUg0rlAE4O7moqvlrNOB5MjtmDE89M/Lx6kUp8f3OkF+n6auKsyto231nBVm6C8d5NmWU0ZQX4IpMoxhjnPRvl3BUhEUikUCSxpVWL+YFX97nzfp/H90tM7u2ZHFm5u6IKkNsc3Dl7S9BkZbYiG7+cfV3skJ3hWFbYHCogz39hEtyZwyKzrQzbddjUbnLk+BTLy65cWghDu12n3U6O6OV/N7j5Nf+mBDjAP/vp76FWr/H1r93LQw89jO/7bh/ChiaKJZ2eoR6kxTYgeYBlpR1nclFKj3Hf247/LG9gGLMCK4wt7ITOrrxWZRo+1+DaMzx5yONn3znDUwcCZwmKqmuiCvb2Zel7l9bgBVLzF5IpovS/S2kygfC/GomPifFCfq/je5epeptlCsfZXGYZTSkygGeHsdJJFShlSs7iwkJouO6SmN/7hVV+6j+IbB56gcRKIogC5PnkTJt/vwB2Jk9MLk/yG6H4J4pnU400c5BXGZz8WpRb1XhaEPgCT0tOnNOs9ASetiRJzFVXX8NVl99GFIbABMC3b52jVquzY2uL05t8pPJcWXC2d3ecCnQiEcLtmiuEWVt/PgECOQnu9aTImINSBpWlPEnXAL1oYhAuoaO9lJ4V/MEnmjz+bECqVGYl5F06edZSFtJkbCeE9di7uDmroBYXZvSxlax6Ur4JrieAXUX4eqw+zuzr1Ixbgcx88HzEsM0ym7nfXIA9B7qxCAw6tdxwZcg/emOfX/wvHr00e+/5UJP1QJ4BUyAyMNtsK05RvhZ5IpDCP88fOchFXrRVSZSWPFHu6qHzbdmzbVb6I0MYu3hhOErZcXGAX5sjtcPibxQA9z2N1v7BrRuDQ9de5u9Z6SR0+pokzSJXU/E3VX4yy0sjKiBew9iyIk8qskRUWTv/Xg5gYStBZM7cxgWT+aFStJcySOG9n2jy4S81CXMwy7LOxIHd6dK8mSF3Ti6YtbyQg1IsVVUAiwLcax/fSp5MsnfGipUBmLkON1CMMq4OBpIVyZIHmLlUEYVUcTLFuJabQr4IMjZPLb6wvOWVA/Ye07z34y36Me6EmRyNdgzkcRH4ZjekKH/PinxoUBaImkrGexLkQiAyV2hNXFOQTWnL5mW2cWIYhZaVboIhIDLBoSDwDobZNt75vw/Aho1befqZL98ZCe/9W7cLNs0tYawhGTPmy01Dq1dmTI/mzC3Hpciastc15a4VK/AC4JYilyVJUWfSi+A9n2ryH/64zfmlPENZCSwrGctqYJmPFR7fNLXqQZeWlmScqb8pgxfH5HzCCyN8jL0r3xtL1+c6uLLNyWTKvtjPvZrGL/6bcqahzcZMGKMq2xVqklSxec7wyz/e5cfe2KcVpC59aNMsAZRUXqdgXTIotBAZiLOEUGqrNSNiLLGTGrEm2WNNmdCplsaOkXmBLYpEo87yDSeXRtSm62zf5r3/nm98+c4d27etZXCAx4/4+H7zs/v2pt/dX+R6mcZMt/zMlpm4ECL3wMvXJWtXU/LjLF2tEhQytwgrAaUwFUlSkSiiDCiL4DKwfPLLDd7xnjZnVzxX7S4ns5VqzBbUotxfZ81sRL4Jc1d87rF0fPUmnxSQf9VH9aKukSSi0DLrp+4pAjkXWGbSpDpyQlQDzoy5bXYYVXyNUcShZctMyi//RIelruT9d7SgluZUS+6PF6xekSuOqbPXwi03ubWZv6b4nZLJRfYfCCx5WLBeCUN+BYRw0rkWKDbNGS7alXLx7pXHb71WfHYwSMZOrap+8ekP/zkL8a7jx075t5xfsDc2fEuzrgh8ga+znYJV7kWOz+iuDuapzhEsi6TGgS4qDH5hcFf0diWgVDJB1QwHT2t+471TPLa3BkHucedzBbMmYqmKwNL53mW2sgr2si0v+xyVG8DtyT6xZ9DY1+VmWSL/mci32Sg3ri13javcVPlRYaayarGcsT7WB5oXp63JWI5bmmtf2/Gvq/dhETQ7Wp2aMtRrlvue9FheyU5C9TFRdGNwGc8ciK7iujJ+jfEKQrhwRWGVrYUQRYukqmhx31PUAsWGacuNlwuu3q3v6K8e+t3tV/5fY29TM/F4/a27EFJw5HCIL0dZb2H2B6oXQk7625UCpWowKcwacE+6JWNgFnltiR0DtZRJ9nsJVoY4wQAALb9JREFUyjccOq35N783zVceqUFNlqwtS8ckR0cRWOY3nlj/GHNMxATYWKcepcraeSq8eoi1IFvPJckhkBetVQis/LoiP3L2zq1DlzQRWRZzvCjLFpah0+b5DkzF64y9jVHufWZuSzpKeMVNI37tZzv869+b4vAZnLOSOygwzuRWkUpBmL9f4zYMcGOtcrbObMTCEnSrk4CiuUJkzTYyqz+Rouwiy6tXXeGVKx7rD+Hs8hzt+d2YdTri1wD8h97yKpTW0cc+NuDM6SPUawLfc3vcjDUJj3XcVPR2JUNZFl2Ng1tJ51v+VcAtZRZQSoOSMdozHD2v+ZXfn+LDdzWIRNYVTzWhU4J8LLAUlaTORHfR2tqN8nmSsMacEjEO6gs+qj+cuA5FUqfyXE3VjyV7KsAoJUwG+jyzmbkoDtTZ1n95gZaQlRskd1RykDt3OuuXJ9CWt75qSGrgX//uNMcWRImYIurNngVgHMiLEM8IvGyuIcY1SI/Zhhb3HiuzEJ21aUkzqVI2G7s9gJIUVGKJlWU0MqxKQaq2svOy10Zpmn5rgG/ZvIFGs/kvbrju4quesudfZpIBNT8DebaJ09ieOBV5UpUoJXDXMneZ4BnPUsoM+EWFoBhvO9PacGxB84u/M8VHv9ggktnOr2v87tzzzsC9zvCe6jiI9YJLKSaYmCpRl65JdYkfz/b89R/VUcqFszKpwyuALzKYuaOybnmtdF00uUWYZSid5VuklCgmoQhLkoJHwg+8ZohW8Eu/M82xBd/9Sm4H5smgws9WpEIQ5Syd6W8qn0fnIIexVaDYZtA4PZ4yTjoirRKRIU0NSjdptHd8dW5+27/o9QdrzuWaSoBmq8UTj365OzdT3zc3rdJmw1ILDL5nXJIn29gpH+FwweKoCyRxqrXbVXA7GyuvGqxIE+HALXXK6WXJL/9uDm5dgnvdQ1QCywnfG1sB9NrS2ElP+0JOSYHt4gv7rZn8myJ7LYNXtUq1c6qsCRdjcsdMSJPSScl/Lov/zuav81FwVmFt7qworHHNLjqFt7xqyL/72Q5bZuPMWUlKZ8VkTotNyJoGSA1EhcMiSDIHJbGQZO8ztXmZrCg6ctKJsRBptuFrmtqsFtwSJ5ZRZBj8/9r78jg7qmrdb+8aztSnx3TSnanTHUhCyECABMJLAsjgA3lOqKg/p+csylN5cp/D9Yp4L8i7PnG6Dihykev7iaAiiF5En1xAEBEZZQgZ7Awk3en03KfPqaq99/tjD7WrTnVnIAPg3b/f6XNqOENXfbXq22t9a60qRzUkTNDcxtt/+ZuxckOp7pC6WceZAKjVxi9ubsytdoQ4QcpTdbts2UlB1+F2Us86SKPlrUkZbCyakoCPQU5Upo7k7BbvJjJLh7nA925vwC2/LiLQ2tUEoN0EuKmeUGpqQrMjlkkQW67BtAclBXqk32uOnNzpQAx5WqFpa08koEXSaqesOBdx3zTdClD6wJHk4SorgXDNv+U6rm8DiCkK0ZcSkZh1wfDGcyvY+FcXV19fRgSo4kBJK2zoChwwY90RW3KLk7ucgOm8T0oQcRGXh7OjnObQKmrFBcJIRk1dr/DEyOj4xU2NDZnHNkvLhRUnvgI5t8rmzJ0vyiWOvC8tuO9y+KrfpCzGE/fDSZRx0OC2ExoS3hFhuf+U98Tyc2vLTYkMy8MF7rq/gJvuKqJmFIF2yQfb501iamInERvQ2tHKWD1oPBJAJshhrdfHmyC54WDYidjHSm5Z7zgZWfVpECQD+DohPFlAPz3x1H5x2bVNW3MnbnbFHTChfeUOOKfwmcBF51Rw1tpJEMZiy51lyUVsyUMhrXnACUIhEyQiLi25SZ4wiRNxjmVkJUxI660tOFALBWoRwYLubjE6FrBXv+qczOObacEBoHvxaYjC6k0TIxsXjY4MlHQo22TbWAXn7TolmTpukqYuKb6tLbehLpEEt8tBXYFf/L6Av/t6E57emlPuQMtyp7wmOgVNlz5OZsjXh+djQFsJA0jSEYNhtcFWEyYMDJIg3xddqYtiikxmIi05iS1anT7FlGsQho/bnhaiJbTqouTaaWcmoBTc5uQQsqIEd6xf48CBwLKeAF/+2Aguo8Avf1+UfNxwcuvZDGnJdcY9jE/cmmyq1w70Z1ilm9OVdjnAVHLHjPa2iTM3nHpTqZif8hjTqTaUm+aKvuef/lpj25K9QqhW2C6H5zLVMTjdtUyCPsGzSRrcKe7t2OC2BFRERS49gdvuK+CT32jC03/NqWz4aXg3JDXxUiKqGNx2Lmh9aL7Of2zRk4T7bwpAp8EusI8h9rFa82vUW+l0hbGklBZxSlsGLzetwk2isrLiVve2eL2j+LhseMUDB8d1Rbj6I6O4YF1FmtZ0tNNEOnX0U154AQeqliUPBUHItTUnxmKbpGLrdWge6is5x+oTFu/986N/+drC7jlTHuopLTgAtMxYiqA2isFdD8GjI4bbEmJba+32s7i2ilLaQRyScAXGEUpCLKutwe1yEFfgtnsL+PS/NOEvWxS4qYv6KKXFuylMN2LTdiRV3yTNuzML+ljrYK23XYfp7fazjmBMy1gEss17Koqn3YJ2Gbd4N5Ky5iKxngvV3s/oVlQXNO1/Vr23iTKvRF0pWoEI7arjjnIDQq4IgGXdIa788CgEgDvuK8of5Vj7AHWWXIAi1HcbqOwgdRJMXRUhW6hwIoVYXAjTrpAKgEFy8I4ZDVi1chHaWhqntSHTAjxfmlODGP5gx+yWm/f29ZU8NycjrHpCmUokNlHKFCUxGm4L4Dr8roM3xt/tcMAFfnl/AZ/6RiOe2uorcE8FbMW7KayODDG4096SLOudlVBMUA/0BH6VA5zEL5Ng318+ngr4xIKrGOFJ1aHMZjFtthOTztijwokA0dRAC684hSA8tuYcSoBFAE5NwJ0kvo3GQitFQQgABMDy7hBXf2QUXAC/ur8AEw0D4mBQSkEoQOUEVct9rTIUnEhgC3UnluAmprGVqzwwgnLMmDNvIuL0gwu7OmoHDfCJyX5eKi94KBg+b/SBp3eV1h8fwHUjQ0uIilTWl1/T4Xh7AsmV/iTp5064BCmHcIF//0Mel33VoiVaQKXSzZJAl+COZbAiRUvq/d/1OpNUzUEDWiucrOiKhe0kuOM/1pWwb5Qn761Jz4Ed0dRWGMa/HXcZBixvigCI3oeIBKXhEMpaE6X9gNGmSEeKtuRCAp4I5WEBtGeF2T84AJYuCPHP/2MUQhDc9UAeDMrUapBrL4kFdA1yAaVOJdJKO0adqCf/0pXoEJk3S9S5PWMV8P73rhvtnL3goYHRYY5pBp1uI9xONJZbB8DxhtNOOjGMohCey5DzZFkGz41MmeJ0pSlqZb1rcKcnkckgDwN3gf/3pxwuvaYRT/emLDdNuwSpmvDJ/o9GSJWy3nqCaYCMGMTppGIDXhvkKQueZdH1G7NEWAa3KVBPSRozrHYm4JFsHKutN2xAC1tNmPKocGpZchrvp7m3UPm3xkdOFW+P+3Ny7oAHBEu7Qlzz8RGcsboKh2vvilYeWlych2a9EEKWf+BATRBTmiLgiqNzWcgnYEA1gkwyjggYizBn7uqwMiHe0NTQNNA5s31aCE8L8NkzPFRGt2LRwvk7Fy3q2TKz3UFjaRyFfA2+F8Kz+r0na5cwA3YDescOvVtdF0gI6jAIl+A3f8zhki81Y2NvPlYGEtstSJFIPVPlGnSGTlaOpR2hzK4rOFXFWJKgG1niJAXrbFBPAe5pcW3RFHu9Abxxq8RJ32nfeKIwqrA5ehLocaAonoTaXdy4oDHYdbvChLxWAZy74AHFonkhvvGJEZy1pgqHZYHcmohy7VLk8eSTA1UNagX8KgcmGcE4IxgOCPrGAOE3oatn8ZbZs7t2Pvl0LwjJHTzAAYBSimD0jt6CP/a+lpndcJy9yOcq8L1Q0ZVkfZI4AyfNuePyaloRqIVTwiX47UN5fOzLzdi4LQfh0SkstgV0VZvEJ7D6yCfzLKdNaEA9z7Zphw1sg9XUBDMlqMuYbR7ASIHbAF5oUbIFZms5ESCyfOR2fUNjnYEUkJUlNy0K7cJBFMyy3DGoqXIrWlacOxLkc0N85dIRnLmmChpxWVdN2J4V28MiAQ4hy2RoXXlVyEJD+jHBCMYigrGQIYxGcPKJ3eifiN737Vvu73WcfcJ3eg4OAIXyAtSCUfheedefNnv3PvnYo+vPXTmI1jJQDVzJC5XMkugJpp5kEm54OE3xbocwOD7DtkEHDzxWwOXXlrGxNw1um3db2TlKluqSdEVY2y1oJw8nfd4x2OPQen1UM8aqzb+nx64A4lTa+P3TY3raYE995F66M+zkAENLiBZdAcLRPvDYP655d0KRCBhODg4QStV2Li24Ef9rMCnfuPZ5I14UEbB4foivXTqCz32H48HH8ti2lwC++pH6B+lnIuS5VkULOSEICcAUdRRCcn4RCcwojuOt5wR470Xz7l2+bMOuicoEGkrZ0Ut7OPvcA8A/fuEqLDjhgsHB8ZljOYe+qbPhWbSWBUJGAVBLPWjlUpI4yJNUCipw5zg27vJw5bWN+OpNDdjW59dbbmqXe9DrYsudU/TEMRZctdy2W6ZoQNtFNWm8T6w7RqzR1hrvWHEbLyuwx61biFlndOJEa8NJajsxfvWE/kVfYNReVt9nXZRZz8kuE8n1tmIyOc8Q8UTZvDcdwErf1pKXa3pibT6aAzNaGE4/qYaOToZnNrkYHKK6YMo+kCb3MSIyvXuNo9EL8KG3nIoz1vd8YnL0uftK5SX7A919W3A9LjxzAVy/9aHxwb23bu997rX9I4+gIe+DCQIkKlLxxDMxr5mhLU6eY9PzLq74diN+8psiqsypdwVmuQUVeOJIpai32KZU3PSab5uiAPE648NOWXDjuE5zcWQvA/s+nbA+VmQsC8tXPqUGy+bnxA4C8bhnZdpPbrwqeqP+EpUbqTUkqkA+gYxCcnC1znIlWpZc/zYaAbNaGN52XgU5T+Dz32zE5p0+kBPSKiT+A/3QKfyOuVt4RIqsmhrGcM76HhB/za218RUPDQyP7i9s9x/gjc3tmBjb3Ns+5+SP3nrXI05nafS/HTdvDJ4XwffibBxDSUjMwYlRBXJQX2DzTg+Xf7sswQ1HdnxKADtNS5Lg1u7AuGCm7kScBvRU0ldRb/UskNugt2Gb4OhpK5cFaZL5sg7f9oIg9duF2ZFA+76h+bnl4iMCKddgWqSl+TlX64Xh5KBShMUh726ccwNyQgQEpwqb3ArhxyAXhq7If0DUgJzL8YazJgEBXP6tRmzZ5QOeCu4QCpPZAAEIJ+FKJISiSAWKOY5TlpTxuvXNt69eu/qjm/qf37Zs4Zz9Bvi+Wbo1SuWFeOzRJ7adcuL6JwuFJRgckfUKJbgjpFuHEA1uk0PJ8dd+F5/7Vhm33KXA7VqTx0QW/NTgzvKYODSpOdHATZaBsNYhSRHi2zfJtOwkAeQjPFKCKo33uuQIe1+Q2KMCa1JpJp7IWBdPNBOTUe1S1BNMQcyEs27iyRww7oILFyyiyAuBN509icsvHkXXzEC6R4TtVdEh/jB2JfIIQshz2ZILsWjePCw+dt2Tezb98YDADRyABddj4YIONDTNvfoZvrEH1a0X5fwh5HNVODQClHBeTzSJsuKEcgSC4M+P5/Ctn5Rw82+KCIiTUc54/8DtEpicSpoBbmO9YQHdVG0V9f7ttNeEJFbXWeL0Y3o/4UHhOfaOpIRWCXATzTDswA9RIXeZPaCpiZlcwi41gYSF54AKzlBViIcrEZau2sPrLHnCp6/mDFDNoEABRAy+y3DRWZMAA775kxIeeTaHGnfiiSah1mSTAYggOMO48NDY2Ya587puOmbRqqs3b91+wMfygCw4AJRb5mHbpjtGcg1L3t3WXL0vQgXjQQVcVOE6oaXxVpbb5ZgkBP/6yxJee1krbvpNSSYr6OardomH/QS3Z9c0mQLcdbw7C5wpr0l6W5qBECB1ZaTwPyXIDxz9YorXcoWajOnFlH/c5tkxiImx3EkxltUqPJEkQY3lNq1ReCzQSlpyxwi0hPKfM2t9FMqkiYvOruC2Lw3ina8aR4lEsUhLaKseASxAyRlHR34v2vPDqFJ638nH97z7hzf/amTpkvkHfBwP2IIDQNeiC/DEU3+ojPF3B5/5+o+xdfvzuOzN/XjbuZNggQMCFcjxBMYZwQ0/L+Hvry1jeMzLSFRwpgW3S5K0ZH8sdzpbPSuoM6Vy0MJj1qTzBeK2HsUkA8DWdqF+Z6JAvq7qqqiF7j2py9WY1yn3oXwLSVprdQz0ZFEZ7zpLzixLTlU3N5qYeFoHRclXmAAcvZkBDuVoLzNc9aExOBT4wc9LmAiJTGZWcwwScFx41igueX0VoViAprnnBwCvvHv9+Qd1iA8K4AAws/14cM7/uGbZGWsff/y3hb7BUXDOIASXOm5H4Lk+F7f9RwFXXVfG8Jgr0UmnA3cyiGN7SzyiyzrsH7gTk0ioiSVQ5zarw6i1rm57mrqk3hPPPQ8C+VYAB6aGWeZu0NkuyZA/ifkGka8T1EW/i4h6Hk+SoJ8O5EL7+ZVikBi6QuPfAXnQKQcYtUDOAUQcrQ0MX/jAGPKewO13F7Gp35fvczwQ6qG10cG8mTPgNZ072TL7uD8mKvYe4DhogM9qL2NsvPKZ9755vRjcs/njbcX+fGWcIpcbA/UE/vAXH5df24j/eCyPWkSnAXcqWmlZbhmlnMpbkg3udNidZgDaBnpdZDJ5mgB73/Q6/R7LnQcC03PmQEaCbhjXoPrwrM/T64TFoxMWXLr8jKQWQuUaxNTGKFs5wKkABdknyA0nJ1YPnjqQq5EJcgJEDK0lhis/NIpzT6vh8msb8eCTRYA6IPkyduwR2LpnafWEha/8CuO5v/dyhYMG+H4FeqYaV135T+L0Daffu6Qr5yyaG64t5p53SsUqHnzGxSe/0YzfPVQAgyN7gxwAuD2igjgZ4Ka0XmtSR0sscGeXZUu9tgI4dcEfTV3M+0jd+uRzMrgTr7OXs1WNicI/ZOrX+gKjhjrpDgowAZvEXAIW/TLXSvL2RDJoWGJZR3KTExLzMt439S2aYiXon7zoPFfgmPkhFs+P8OxfHezY48PJeejp7AnmdS66enxkzxe6jzkuWarqAMdBW3A9Tj5uMOicMeOL9z/WEtz6h+IVLKjQa29rxaObc0AO8SVOSAaoLYqyX5a7XlsylRTWzrusiximrDlECgD2idevtcXMmlG+UC6eGmKKZT151C0a0xNRkniD4t6KyAuuEgeIqidOhLo5EPUWXbgzycnNa6HOI4dqEBv7yfVX0ixLLggEZaCKmztcFdskBDIuD/yXpQzf+MQI/uXWAL4veGdH4xVb9nZ8+bn+/gAvcLxggM8+9u24+Ze3TLresluLrd7nb739t3jkmZlAiQG8qtxVOuadlbBQz7mzwO1mhd8t+auxxKgHd5pTJzBKklYpi6YcYvxOPbIilyL+TSJjX0MTAKULEgbYxHq/nJQSdTqE2jfWiAt9/FSwUSsT7QtcUEAQKlk4ke+ePuIJK9JpcXMQUzqZRxRR5OOEYwXOOCFCS/tqsai769ZKdcfkqhPf8oIP6QsGOACsWb4Q8+d2PPfgI6WLjzu+9K3Op5+kQxM1hGEVnAgVncvyniTBbZc2tqtQmY5s00wozTNS3hIkrTZI0oLrsS8vSSbIDyXy9/FZNpAT5trytJhNQk8E1LpYZWAyeaipJkVkNFHEFbFs74rGsS7ME1/1VsidcpMRlGnJU8IsQuUEWOqSgEo1h/7tzVi98lQeuisvHo5WPOe5B+7zzhqHBOBd81bhrgc2B2efuv66hx/eXXzvq1qvKfhPYGxyFDf+exE7hkpWh+EkuAmp93PbmfA2LUmrBE0AB/EylHIQGeDOTF5ImPQYa2QaRCe0KVPvdmhHokJ88rv0xNK29HE1LAl2onr/6PdzQUxCO3RfeVh3Dq4FX1zGbbiiNbr0K7VdI3FuJ9URzyktuaxJ7roRdg8DN/yqATv7G3HykiVYflzH/1yz7vTrePUp5hRWHpLDdkgADgDnrF2IgYE+9tY3nLd5dKB1TIxuL89o7kctAr71szImiepPaTdxhJzlJiKUxEo7o2mNydSTSQnKlCsQ9eCuoylIrc8A/ItxTCmxJdmLmqLY7hchZE6kTM2TDauIULV5iNa5SC0KtVPOlLswCXKiiAfMeqpKJnPN04kqQESAKKL48V15XPHdTixeOBtnbtgwtnzVyZv7dvezjs7jD9lxOngHY8YoFgoo5gZv75h38ofLs14zWKl1YLLmQDh5EDcH6rgg2lUAmC7DDqzyalbj2DS47TLHusptbNXFlN6HOjfgVAB+CQB7upHQp6h/KBZmpSKcJuGBJFLf7EYHPBHF1EV5Yp2KbikZp7SltCsiTotjKroZRR6C0EcY5eAQYNH8Flz89rMGz1p/0od7d43e7ucP3iWYNQ6ZBQeAYkmm8AsxeGPrnDPdP/VNXv3Q5t+3U5ejxSOmNXSo7nRxzcAkDXEtcGfV646109kWG7DoyBTrsyz5/kHoxXEVkP1ZZyai0mITa2Jqy2sJVAUtoksrx8dUqOMtiCwJJP3fUhotR0xTtD+GUK1ulEWGpMdGXSTMAQsIfNfD+esL6Fm+Yc9JK9f/r/FqcONxxx6YkGp/xiEFuDnQpBUbt41d39pxAd1wUnBVMPqH9jBkGJh0EShuaBtTm1/bCQo2BzeF51M83Fhs9WE2qOPfMwUA0ivsmMo0OBbKrXgkByFiP3aaau5g/j25mwn2qL/a9ajoAxHJGIAgskuy9tDID9GMPZ55yvxUCiq4SZGLz7NQ+hYXo+N5BBHF7K5T9rx69ZmfAsavJ6TtsBy3FxTomW58/ZqrsGLlmkfayt6eghNscMVIgTsRnh+W1gBEMjaXCFUkU+YZ6yL1OjPHtuSmb3yKpiSCNenltAcFGdbcujrS++mTDOt1XSZNOtCDgwz0TLNMCeRcjiSnMfXBquw5CLL0NFbFK2nO43xOk9tpLg5iJUbEHxF3sI8vetOQLFEjnsN3I2zZncOWHU1wcgsHi6X5lw3t2XZ926xVhwuGh5aDp8d73/kauKT2g5OWz7vkzefPH3vlSXsgapNSJyEA3amOAHEhIZKkJaa1iKmLGIPbBn6Ck9PUSbYemWMK45iV5Z54034Y1f0eU7Af2zOS2DzVXWna/5OYz9K2Ny4dQcAM55Z8mzECzggYo3KZay5NDf9mPObjjGtOb5Q/CuhSWVoqVHD7gwzP9XWPMWfBJX2D/AfHLn/NITyI9eOwUBR7nLbS4YVc600Tk5PRWNh9g0NH8iwMZadczwNIUmNiwGwvE5Gw1GnvibG8GV6ExPkVGctTAMX4GrT77QgykkwvDyyLbF4rwZN+VplKMHMTkbTaioYkIqB1utzYIoPEbTKJrVCk0ucibymxsoUQCgaAcgFBVboyEbICgyMwXsmhY2ZPdWxyxnuf7W36SRCNT1u051CMw0ZR9PjGd27G6y86RaxaUX3m0adnP7VmsffqNYufdfsGOPaOFlD0KQpUtkhxadwgKmm5YTrdpi04MYm/dlIvqePhQD0/TXJz+298guVFFCfkxvTDoiY4kloUkaAolNqT7uk8SLFcVo9kGlt9do9pXwhb6aiPbfJ13d1S1YhvKNSwY08VX7u1AWPh2mr33Hlv214hP5vVMsgufs87Djf8Di9F0WPDho/gJ7/oYu9713t++qGLyu94/VmdlY7GCghj8KlAzhHwLf6dfuhOJTbwXUrgmEcS9NQCvW4gpU+oPZL5ikl9RzL9SyTXp957uIbdpjH1y5MXMIn3jTOWLJmCNUE1QLfdgZYLkLHUgxNEiqbIiq8ELIq3aWpiL4dMdoaIIgeUCuwaFtgxenzld08tfMc5r3z9T0/rambvevMHDiPi4nHYLbgeN99yE0SlFW//4M+fevPrlm7tGyud/WwvyxepQIOv1LSaUzsaxEqHYllu2fUt1fnNdh/Wuf9sC1RPWxIUx54wqRc6Smr6ZGZMLtMW+1BZ8KxJp922kFjlL5ItCJPNbRPHQwuxbN83t3My60stC06siznm18knLQJTPJxLYUstBLYM9IwM1+Z/4P+868s3veXzXfjUJW88UrA78k7djU9cgS/82wYs7dr7juHhyS8/8fhTbcNDQwi5Ay5igBuqYsBNLOtcfwvWllSnZJlOuhzgXCTWA0joMxKA0nVNbEBZdVIojfs26hoojmPVRKEEDtF1U+LemA6Nt5s7TeLzVYqqNeeIG3xZehy9jnCrFylij4WaoMedLKw7k4iDOvK4UNUnR63ncUqbudBJ8sKJG4/JRmSyNrwwNeIdle1TqRI0NDRi9rxj98LJXzrnmPwPPnfNDlxx6aVHFG+HfZKZHouW/wMAYPee4R94nuv+7u5ZX3z04Tvb731iFIMjPopezLtpCtwa7LYuOyE6AqTIXye98iSlSINcBz4S7WWEUIHreFJlJxfUiT6yJrfkwC1HmvvrBZLehngyGV/gwrLwsYsurb/hUEkN6urmgOU1SQJc2HczPcnX24QEDkvc9eTF67kcOwdCbO2bi3POOHNPx8JTPslY9ANCWo401AAcBYDr0dHejEql+v3zz91ATls5cdXWa37XvvvhGso5R1IS4y4kqrutypvQ1pDEOAMUnrnMWOEEMiGQxNWR9IlhIglaLQ/Vp0rLKwiJrbzm4Wm6Yw8TEbfDhAc49vUOS8ITRw2h6Y0unaf9zzAgN+9X/z/RScvKekcs5uFxR4j4fdKYCDgOAaccwrF/M1FAl5Qk54WYiArw2jbs6T523aeiUHw/XywffkBNMY4awAGgWMxDiIHrnNlro1edWbomHL+vZWhwAEIIQwlscLsOMRyc0oTxVu4rVTSdKS4IAR1RtlvUCVsOSmCCcZTqz1J6aRIDF0ozrYeYDsMHg28yzXqig+16Imk/rMa7CVqlrXgMciEgr159d1NUhanJI2dxxVlTj1x9h0N0t4U4gkmUAYJqARhGHvz8Apx6ytohll992c7B4IaeOY37+s8P6ziqAAcAQmagUoluPHvdKYP9z/ctDMMF//vO3z7oMRA41DH+cNchcF0inx0b4MQUl9TtnhkhIExylkgVcWdcdunSVspoxamIGySJmM/bD7viVFa2zeFQqGRTE4vCGPef9Ug04+WgqcmmEABlAoADwiSV0/1vIkbBmex0xpUR0J4iY2w44DnSIhBC4KiLBIIhjIDO+WtCx/X+bvb8dZtdr3gHIUcdXkcf4ABQLLr88Seevf2/v/V8/8FHNlaqkfPNe+5/lAhRpZRSA27fJfBcCteVVlyfNM4FGBfSG0ABR8hEVxCBgEnQBxFQi0jMv5W1c1RPGAAmbK8rssZtsgFYy3okScvBQ3y/3png5ekKAenQuGrzaPdPUj+dOwQkAsKIggmCIKSohSpqqWmc4uS6NzzRRsYFhBvzbccREIKjoeTx9tkrRUPLoo+UW5b+69De3cHMzkVHG1YAXiQAB4AVyxfj3j8+E7TP6rixuye8e3Jy8o17+vv+sb9vFxzqwnMIfI8i51N4LoXjyDPOuUDEBEjEZUqVloi6Aq5LEIQMlQAYmZQdBLTXRAeRhFH9C8PJdcm8dFs/MwyeD7+6MGG9bcc3OOJKYvEEUzbl1e3WdbsY/Sz/ixxzwDnB4IiPiSpFEMUXsoCkG1EExc3lOtcBfCbvlpQSkIiAgqOttQNNbW3/MKtj3s35hhnbo6g3mNm5/OgBKTVeNAAHgPVrlgDA5Devu2Xj4qVLvzi7veQPzCp/Ztu27Y7gIXzPQSHvSJA78sCHkUC1JiRN4draxFy9oRhgx1gNvf0UgIuCC+SpQM6B+QwJbgLKhWnIawI8qdC22rt+HEKukvCkpL4ijhSizopLDi5LWLsOV+1lGDyXm04cvheCUIY9o2X09hVQrRLplnViXzrnQBgB1RpHGHEISFqY8+WP8hyOnO+hpb2blVvb/mnRwvYvbt0xzI478ZijDaG6ccQCPQcy7rjtx3jtqy8Q73/3m+/+8Y9+mIuYWDM2NuoWcgLlAkG5BDQUBYo5ObOvBUAtkLBzXQLfd1AqULQ2Epx8XA3rV/ahsWEQz+1wMFDxwQmV3Y1RH2xJB1q031q7JnXAJlGHW/nPCc0K6uxfoCerKkBWeYu4rIVIyBkoBVxHgKoGYXZfU9+LkPcDNBQnMRlM4P/eTXDDrxuxfaeHvKsTLolVUAmoBgLDYxHGKxFqAUfEOBjjcF0XHTObsHzlSbVVq8//5+5j13z2dRdeKFasft3Rhk3meFFZcHu8620XYmRkFJM19pnz/+sr6LKlPWsfvP8uWvQn14LtdctFoKHIMDAM9O5yMFYhKOQIPM+F7xEU80BzmcnaG/N8nHHiIBhj+N4dBONhAwhRhfs5Mdn7XGmfueLxSdefHIcxMp8c03xRkq4IpZmRPNyoLh2urDeD50bI52rw3Anc+nsHn/neLMxqLGNpB8fIhLw4HerCdylcByjmOUAYnuoNMTgMNOQFPCdC19wZUb5YfuCUdefxrq6uBwgRn5msjKFwFN2A+xovWoADQFOTcTF96pE//gKnnbqiHAXj19bGt7xJRFspJbvx8CaKPz3XhvaGHGa2UBQgrVDOE8j70opN1lxEUR5vOn0Ct/1+HNuHfFScHHxCkh2RqdXECcgE2eEP/YpplpLLaaqS6LRBtSWP4LshfC/A3tEQN9/TDIcWUfQlx64FAkHIEanZt+8JtDVFWNI9hOfHJvH080UIpwnLuubz449fcEtzc/n9f3p069jiJSuOBARe8HhRA9weq9ZcgKG9W8coLVzCg/mbNj9Hl+3cXXxtwP6CQDRiopYDU00cHSqrJnmunHARIhCEDpZ3MzQWa8BAAMZ8VClFjgOe6n/OtdBfxPX7rER0M0jdq9QeB5PtI/a9uW4XHfSx/N3GB64mlxrknhNipAI8sjkP4sl5RcQFIgZEkQBXAHcdeWcEJsDDcVx47rEA6bz1tBNPeXL5ks6vjo5Xx5Yu6Tni5/9gx0sG4ADQ0tYNAAMPPrL9s2HhPV2LljyJOXPmv/aprZuwe1cALjyj6XBdqMkVN64yzgFdplcIhoBThAKIhIAnUsDWI6FUstZZm8g0ux7IiJ2Vog7Q6c+2i+GbfbS7ULkHTbc7R5ezlh4QxqX1jhhBGAGMC1nJGADnHFEYYhRtmNf1Cpx64opb161d/DGw8V7izj56J/8gx0sK4HqcsmoeRDTQC2f5ZZs35W58+xtXffSZZzZu2Ll9M6JoEpRQeA6HryZYrhuhkAuxY0CgWlMRHcHAhIuAE+S5itKJeuDEXouk9qVOW269SBTf3E/Ep2W6CY2NufjUc0Y2UdofTqhQrR1lOxlCOPI+R0djgK39DJN5B7VIxgfCSAM7guOW0Na5DPMWdN8zZ7T41ba2xY9v3Rb29nR1He3TflDjJQlwACDuDADYJITYtPAYPOlS1rl29dLvbNmy+ZiBXU85eb+KvB8h50doaqhi92ANn7u+Adv7c9AA51wgFCpVSwPc/o4MD0vCku4DxEmrm9zJ7v2U3IAkuK0IqomuciJ9/qoHvf0NiZbqJO6dBAh0zeS44j0D+PR3c9gz0oZKjmIyYJiYjNDemsPyFSewRYuO3eTQ2gfmdq/bNQfYSI9wcvWhHi9ZgOuhEl03Dg4ObeSMvbJQKMxpPnXlLQM7ftcogq2lhvxe7Bmu4LM3NOLn97WA8wg5EaLGHAjqIxJaMpqcWNpuwaQLb/+kgtPuYoF4KuFWejndzZipylOCWyA3LkWOuE16BNcNwRwGh7t4zVoBzvvxD9e7GJ0oY157CccumjPxlgvPHM174g2ds+fudCjtPdJVAw7XeMkDXI/W1hZwznvbZrRtD2pjxxfyG07NuaddOzL0RMN3f/RY892PTaK9OYeezj04Y/kQvn9nGbvG8mCuh0ip7LQFT6SD2Zn7KfkpUL8sVyKxMp3TWRcVzQgQZU0qtQCKaXGYkhpo4MuoZmy9CRFwXYY9IxzX/aoZ65ZSdM9qwitWTaCljY498tdTBtcsW+YWc3jfwp7uPzQ1NowA4C8XcAMvI4ADAFVVH0eHdw2VynPuLLM7FqDzje9839vPuzSfvyuoDG0jZ67KLTlpCfJMDOHqH80A9wQCDoSCgnEuFYjESo1TKkZKY320HkkYxEvGd06z9lP7iIy3puhJLDaPV3EOgEg1imwVQ+AyYsoWyrbq0noTSJ/4db8s4We/PQ47n/errz+z8ZkVyzq9V5598o0XFD7/pYcePS03Z1a5OjwyxpubXrz+7IMdLyuA69HY3AkAfO9wCIfS7/t+cL3vObjgVUud2bNK35wM9yyK/I3rjlkQOLuGq4i4wFAlAC1QlHydXUPguZDBDyUw4koOwAWMeMnUUUlod5GYjNp1WUwpCktvDiStvN1jR26LxVKRSkqgRGbkEAJ4jjA1/1wngOdU4DgOKHUwNDEXr1g7k82ev+a+cq5x44QYvxhknLluCbx2paC5hZWjfb4O53j53Iv2czy9ZQhezm8ZGRq88qe/uNP/yT2bWamh6UTw6KS9/UMo8HHMaBBobXJRylMUcg58T2pza4FAtcbAOYy60VY26gNKlRbGdWhCv24fbu3OdBw7mQNx8jCN/fm+8ulzTjBZo6gGqiqvw5HPMTQUGMqFSbQ0VtAxS6CpqQzOvYeFGP1z/9hqp2vJeUGx1PJpIBgiZNbRPgVHdPzNATw9vnLjnSCEbBiv1M6drIRvcKPJxQ6vYOuWTSj4Ag4JQcDhewQBAzZuZ6AQaCoRFPMOfE+BV038BDS1ofA8qXx0Vc6mnBxKXzslkvp4LuB7Esim8LxK8qVUIO8DpTxDUzkCRYQnNnsYmyDwXSCfd9HS5KO1CVjY042WZoqWZvJsucG5RaDwa0Dc4zUfuQTfF+N4WVKUAxkfe/srAeCeHbuH7gFwL4/ChXsH9/J/++Fu3tM1s3vu7PZP7t79PMolFzzcjGef34PdA0XkXQeNJQrfc6QCjwkEIUMQCvgeVaIlab09V1roKAKCUCCKOBxH0gtHUQtfBaaqAUE1lBeL/tycG6KcH8Xu4WHs2LsQi7p74LsM8+bNRVAd/KLDB7bO7VlHG5uaqes4mwVwp5efcbQP7Yti/M0DXI+5HS0AcKdeHhwcgO/7zf39ux/I51zkc254zIJZH+/sic7ZuiOPcg7o3fIkarWK6jzGsbU/RP9oFS2FAJS6yPkyj44SoFzkiFiI3t0MYUjRWHLAlS7bd6UScPZMhpEJipGdJQAELBIoNjRgxUkr0NYUAH0BTvCLd7UV+DWuK7xFi49DR0fHPbUgGJ7Z/p+Azhr/CfApRmvrDAAYBnAbAAjeCwDPtMxks7q6XA7OMDrUi5HhEIzJdLGJoBqeffopl4to4oKcx8PGkgtCCfK+QEuZgZMqJihAuIfmBoqcL61/uQi0NrnezBm5Xzz79N2XgzR5hBAIxuD5JcztWopCjmLSBW2Z6fUB2LpqaefRPkQvifE3z8EP5bjzN/eBgMzq6+9rckkkGhs8CAHkfIHmMgMnk3j4WQrKPTSVpG4dAigVBFqafNLePnMEQvT1LF57tP+Vl834/9lTekqB9n3qAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIyOjI1OjA3KzAwOjAwuTAYdAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMjoyNTowNyswMDowMMhtoMgAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 278687000
{'hecke_orbit_code': 247697979538939993, 'n': 1, 'trace_an': 6}
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id: 278687001
{'hecke_orbit_code': 247697979538939993, 'n': 2, 'trace_an': 0}
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id: 278687002
{'hecke_orbit_code': 247697979538939993, 'n': 3, 'trace_an': 8}
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id: 278687003
{'hecke_orbit_code': 247697979538939993, 'n': 4, 'trace_an': 4}
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id: 278687004
{'hecke_orbit_code': 247697979538939993, 'n': 5, 'trace_an': -6}
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id: 278687005
{'hecke_orbit_code': 247697979538939993, 'n': 6, 'trace_an': -4}
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id: 278687006
{'hecke_orbit_code': 247697979538939993, 'n': 7, 'trace_an': 0}
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id: 278687007
{'hecke_orbit_code': 247697979538939993, 'n': 8, 'trace_an': 0}
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id: 278687008
{'hecke_orbit_code': 247697979538939993, 'n': 9, 'trace_an': 6}
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id: 278687009
{'hecke_orbit_code': 247697979538939993, 'n': 10, 'trace_an': 4}
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id: 278687010
{'hecke_orbit_code': 247697979538939993, 'n': 11, 'trace_an': -4}
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id: 278687011
{'hecke_orbit_code': 247697979538939993, 'n': 12, 'trace_an': -4}
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id: 278687012
{'hecke_orbit_code': 247697979538939993, 'n': 13, 'trace_an': 0}
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id: 278687013
{'hecke_orbit_code': 247697979538939993, 'n': 14, 'trace_an': 0}
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id: 278687014
{'hecke_orbit_code': 247697979538939993, 'n': 15, 'trace_an': -12}
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id: 278687015
{'hecke_orbit_code': 247697979538939993, 'n': 16, 'trace_an': 0}
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id: 278687016
{'hecke_orbit_code': 247697979538939993, 'n': 17, 'trace_an': 16}
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id: 278687017
{'hecke_orbit_code': 247697979538939993, 'n': 18, 'trace_an': 4}
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id: 278687018
{'hecke_orbit_code': 247697979538939993, 'n': 19, 'trace_an': -2}
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id: 278687019
{'hecke_orbit_code': 247697979538939993, 'n': 20, 'trace_an': -16}
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id: 278687020
{'hecke_orbit_code': 247697979538939993, 'n': 21, 'trace_an': 0}
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id: 278687021
{'hecke_orbit_code': 247697979538939993, 'n': 22, 'trace_an': -12}
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id: 278687022
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{'hecke_orbit_code': 247697979538939993, 'n': 988, 'trace_an': 0}
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id: 278687988
{'hecke_orbit_code': 247697979538939993, 'n': 989, 'trace_an': -26}
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id: 278687989
{'hecke_orbit_code': 247697979538939993, 'n': 990, 'trace_an': 0}
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id: 278687990
{'hecke_orbit_code': 247697979538939993, 'n': 991, 'trace_an': -68}
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id: 278687991
{'hecke_orbit_code': 247697979538939993, 'n': 992, 'trace_an': -16}
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id: 278687992
{'hecke_orbit_code': 247697979538939993, 'n': 993, 'trace_an': -92}
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id: 278687993
{'hecke_orbit_code': 247697979538939993, 'n': 994, 'trace_an': 0}
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id: 278687994
{'hecke_orbit_code': 247697979538939993, 'n': 995, 'trace_an': -188}
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id: 278687995
{'hecke_orbit_code': 247697979538939993, 'n': 996, 'trace_an': 76}
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id: 278687996
{'hecke_orbit_code': 247697979538939993, 'n': 997, 'trace_an': -32}
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id: 278687997
{'hecke_orbit_code': 247697979538939993, 'n': 998, 'trace_an': 200}
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id: 278687998
{'hecke_orbit_code': 247697979538939993, 'n': 999, 'trace_an': -108}
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id: 278687999
{'hecke_orbit_code': 247697979538939993, 'n': 1000, 'trace_an': 44}