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{'Nk2': 29700, 'analytic_conductor': 132.31665134570903, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [11, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [825, 1, [551, 727, 376], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 33, 'field_disc_factorization': [[3, 1], [11, 1]], 'field_poly': [-8, -1, 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, [34, 13, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199355405113, 'hecke_ring_generator_nbound': 2, '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': '825.6.a.c', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '33.6.a.e', 'nf_label': '2.2.33.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-6-\\beta )q^{2}-9q^{3}+(12+13\\beta )q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '825.6.a', 'trace_display': [-13, -18, 0, -146], 'trace_hash': 1265376769508165723, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.973', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.286', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.221', 'prec': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1], [11, -1]], 23, 2], [[[3, 1], [5, -1], [11, -1]], 20, 2], [[[3, 1], [5, -1], [11, 1]], 22, 2], [[[3, -1], [5, 1], [11, -1]], 16, 5], [[[3, 1], [5, 1], [11, 1]], 18, 4], [[[3, -1], [5, -1], [11, 1]], 21, 2], [[[3, -1], [5, 1], [11, 1]], 19, 4], [[[3, 1], [5, 1], [11, -1]], 21, 4]], 'ALdims': [18, 21, 22, 20, 19, 16, 21, 23], 'Nk2': 29700, 'analytic_conductor': 132.31665134570903, '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': [825, 1, [551, 727, 376], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 588, 'dim': 160, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100664121, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 7, 7, 7, 8, 8, 9, 9, 10, 10, 13, 13, 13, 13], 'label': '825.6.a', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 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mf_twists_nf • Show schema
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id: 521786
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '825.6.a.c', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '33.6.a.e', 'target_level': 33, 'twist_class_label': '33.6.a.e', 'twist_class_level': 33, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 521787
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '825.6.a.c', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '99.6.a.d', 'target_level': 99, 'twist_class_label': '33.6.a.e', 'twist_class_level': 33, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 521788
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '825.6.a.c', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '363.6.a.f', 'target_level': 363, 'twist_class_label': '33.6.a.e', 'twist_class_level': 33, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 521789
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '825.6.a.c', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '528.6.a.o', 'target_level': 528, 'twist_class_label': '33.6.a.e', 'twist_class_level': 33, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 521790
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '825.6.a.c', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '825.6.a.c', 'target_level': 825, 'twist_class_label': '33.6.a.e', 'twist_class_level': 33, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 521791
{'conductor': 165, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '825.6.a.c', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1089.6.a.p', 'target_level': 1089, 'twist_class_label': '33.6.a.e', 'twist_class_level': 33, 'twisting_char_label': '165.d', 'twisting_char_orbit': 4, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 1378625
{'charpoly_factorization': [[[34, 13, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 2}
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id: 1378626
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 9007199355405113, 'p': 3}
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id: 1378627
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007199355405113, 'p': 5}
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id: 1378628
{'charpoly_factorization': [[[-26384, 146, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 7}
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id: 1378629
{'charpoly_factorization': [[[121, 1], 2]], 'hecke_orbit_code': 9007199355405113, 'p': 11}
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id: 1378630
{'charpoly_factorization': [[[-40952, -130, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 13}
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id: 1378631
{'charpoly_factorization': [[[-1009172, -728, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 17}
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id: 1378632
{'charpoly_factorization': [[[-5817312, 828, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 19}
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id: 1378633
{'charpoly_factorization': [[[-884264, -238, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 23}
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id: 1378634
{'charpoly_factorization': [[[-18243924, -696, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 29}
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id: 1378635
{'charpoly_factorization': [[[6337600, 10480, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 31}
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id: 1378636
{'charpoly_factorization': [[[-64511196, -1908, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 37}
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id: 1378637
{'charpoly_factorization': [[[332770036, -36484, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 41}
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id: 1378638
{'charpoly_factorization': [[[-56044032, 9768, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 43}
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id: 1378639
{'charpoly_factorization': [[[477085816, 43742, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 47}
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id: 1378640
{'charpoly_factorization': [[[-379065264, -12174, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 53}
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id: 1378641
{'charpoly_factorization': [[[-30400064, 2788, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 59}
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id: 1378642
{'charpoly_factorization': [[[126184224, 25302, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 61}
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id: 1378643
{'charpoly_factorization': [[[-921013232, -40520, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 67}
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id: 1378644
{'charpoly_factorization': [[[89872392, -31386, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 71}
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id: 1378645
{'charpoly_factorization': [[[291320452, -46780, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 73}
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id: 1378646
{'charpoly_factorization': [[[-1006085552, 16850, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 79}
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id: 1378647
{'charpoly_factorization': [[[-2400814800, 79440, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 83}
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id: 1378648
{'charpoly_factorization': [[[-5148586428, 54204, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 89}
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id: 1378649
{'charpoly_factorization': [[[13776267004, -241568, 1], 1]], 'hecke_orbit_code': 9007199355405113, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '825.6.a.c', 'level': 825, 'portrait': 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zZGdHopZxc1Ew2PnRsTtq7rUq+FCGmJIkGrV2Wh5TNRE3jS4+y8z+EzguNzCSeXEoJqjzff2OVdN0Mgxzl4osnJ84pzCynnl2JOLloOL1huuHKRX/z+FdaPTXDkzBRnzlc5t6RZbFm0l7J5SnBmHo6e7nN6OeDud9TNd71+zx9Pj0//5CActDfved93GhL/RY+/0gA/cb7N1jFLO+QjR4/vf133/Cflo8/r1xlzUH/oziovH13HuYWA5ZakFwqMgd4gZaUds7CaMLcChxcFM1Or/NIPLXHT7hqnzk9ydr7O2UXN+SXL3GLC6YWU+U7C+OSA26/qcstl4MsqgQo4v1zh3KJmblnQCyFJDBXfUK+kTIwlGODEXEK7C9vWedSroVsthE+3b9i6PmRpVYN1UmS1C2ECFstyK2LTrEenrxDKIkxIs+KxdcOA1Z7gxFlNajRTTUmjIgg8SBJBL5TMLUvOLVnOryQEwQC8hFuv6PK6KwUzzSpLK01OnQ84uwjnFxPOLyecWYYjS5YbrljkX/zQCuvHxjgxN8m5xRrzy5qllqQ3MBhj6Q8Mq52EuWXDvuOG99w5x471O5OXTgaP/7Ofudts23zZ4/2u93Mz63sIMfWdhsq3ffyV1eDfevQe9l5xNX/np//xL3/mSw/9w9/75IOXPvHqwval1pzcMN3ljmtSothHSoHnCTwtUFIAAotAWIsSFl/C2aUKTx5WXHXJMpdtGVCrgKclvqfwfU29Kql5kl7X4+DxCvfv8zkxH9JOYg6eClk3tcy7b1/hqks73HBZi+OLCYs9QS0YcPSspdWus3enZHWQsv+4olHTvHICdm20DKKUQeqjdcxEAw6cClA6xZMJ2oN+KLnpsh79nuSqS1Pa/ZQTZxvsWK+o1yJWQ8vseI+Vbps//gY8fyzlxWMDtm1c4uo9bSYmI955a4fveYPlkvUN0nicY2fGOHLa49Sc4fR8zOn5lCPzgpOrMdfsXuBf/FCH9WPjnJyb5PxylcVVj5W2pN01tLsJq52EpVbC4qrhzKpkbsVw+1ULbFq3KK/e3tleSc7siOL+zRu2rK963uwDn/jk5/jMZz71nYbMRR9/JRl85dRvM775nHr28V3/7PlXF3/hgcePqLn5PqdXJSdXU3ZtXeb/+olF9m5rcnZ+gqVWldWOT6uraXUlrQ6sdFJW2gkr7YSFFpxaEejqgNuuXOZDb4jYMVtntdtkfrnKwrLPYkuw3DIstQwrHUO7b2iHlt4gYaoZs3WdAQSBZzk97yFkwLZZxY6Nlo2zPc6vhLxwqMH1uyy16govH56kUY+IIo+pCUN/AJdvHfCJb4yzZ0tCGFqmxyRx2qdRCXjl+ICqV+fa3QkvHo04v+SzaSpgxwbYuj5CqZjTi+B7FiEs29YlTDQknX5At+fR7nkstxXLq7DUMiy3UhZbKXMtWBqkbN3U5UN3LnLbZZqK1+TcQpOF1QqLq5rltmC1bWh1EzrdlHbf0OrBQkdwcgWuvvQ8H/3xBS7ZUGducZKTc01We1U6ybY0tlO//KXDtf/j5o2D9P/3j77vOw2dCx5/pQDeWXqBeq1WfeblE1vH1KMfHHQ6//Jbz4a8dkpzdj7m3FLK6RXB8VXD5dsX+ZUfX2Lvthrnl8dZblVZ7QS0uprVtmalA62OW2ZXOgnLbcv5luBs14LocvcdLd55k2HnhgpRVGOlVWG169PqKFa6gk5PMAgtUWJJU1DSEnhQDSzjTcvsZIz2Bhw5F/HS4QCT1Hn7zRHaW+XZ/WNs3wBffSrhjr0B860+Fa1I0pjJCUhiD+0lLC3VuP26Nl99osGODfDMoRCPGm+7yZCIPi8dSTl2uoKWPusmNBN1QTUQ+L5ACUgMRLFlEEGnZ1ntGjo9w2rPsNS19NOUbZt7vPOWFne/LgLTYGl1jPnlKkstj+W2ZqUFq92UVieh3UtpdS2rfVjoSM61DFddusBHf2KB3ZsanFuY4NxCk7MLFU7OwatH+wzkFNt3Tv3vH3jn9X8ig0tOJnG3f+fNl3+noVQ8/soA3NongEl/eeHE37nvG6/9xtkzD4j33JbKFw9t48DxCqfmEs4tRsyvGs60JMdXDFftXOBf/egS115SYWFlnKVWzYG847Ha1ax2BK2OpdVNWe0ktLqGla5lviM41zJMjPd4yw0dbr0sYds6RbPq0e5UCDwJKKJEYozAWOgNAGGYaAw4dMZibMR9z9QJe1Uu3eRz21U9YrPKw/vGuXaXx6G5Lq2VJrdc1eOBZwPWTVr2n7D8z+9ts/94wLpJyf37FLddrljutTl6apJrd0c8/FKfJKxx6xU+l2wZ0E+63PusglRw5LSmWdNoAb2+xFhBaixxAkiD9g2trqXeiNmyIeR1l/d4y/UJU/UK55fHWFqtstL2WeloVtqCVhcH7G5Cq2do9SwrPZjvSOY7CTfsWeRf/ugiV2ytcW5hkvPLDeaWKpyZ15ycS3jtVMxzx3v84Lv75o6b7rCr0TU/Hcldv6ftfPQj77v6Ow0p4K+ITWhtTyZx593P7/vEpWdXxK/8hz96RPmix1tv0KybHDC3GLDaUXT7ijC2xKkhNYrnDs3yC78HH/mxBa7dmRD4Mb7XIPACAt8n8DUVX1GpaGoVRaOW0KylTDUMG8cEC90GX360wRe+GXL1rj7rJ1O6vQHvuCVk+3pDkkq0tEQJPPJKhZPzFTZMGF4+UgEzyWWbFdddawgqHR57tcfC4hhXbq+RiBXOzXvcuAuOz8VM1yvMTEIwp+kNAs4vazztsX1ji1ePTXLd5QHHzrY5eXacd92SMt9a4qlXx3nleJ0b9lT5vjsHILu8cMwwO9nl/ELMwy94DGKFlqCNZfuGiLfcEtHpKjZOGK7bBVFUZ7lV4+VzAatdj3ZP0epK2l1o91InR3q5JLEs9yRn25LVfsituxf4F397hau31zizMMFyu+ZkYEfR7lra3ZTzqxDULG+87pQ0/c8T9cz/04terX3wvR84vNqNvjRe9813GlvfcYBb2ydJkh969pkX/803Hj49ee+TbY4vTNMdjPPr96zw/jv6NGoNfM+jEkjqFUGcWFJjsEj2HZ7l535H897blvnwm5bYsTHi/HKDSlClGvjUAo96VdOpShp9j7G6pjdI6fZT1oWGfmjpDAKWFyqcPmWJEsOZuYQgsIDAVxYtBb2+QuCR9DTXbBdcstGydVOPMO3wtacVBw5P8NbrA667fIWPf83iixrbN/V48QnFpnHFdLNHRVWJYo/5DtQrms3rBM8fiLhud5U3XLvI73+5j+81ePPNFi/o8eBTEV99ss6rx6rs3Fhj+4aUmYmIHdMxe7enKGXQygKWWhAwMx4QxR6dns/Lhzy6A02vr+gOJN0+dAeWbs999k4/pdu3tPuWVh8Weoq5VUu9ucr//I4F/tatEXu3Nzi7MMZKu0qr49PtK/qhIIwNnb6hUh3w0+9a4qqtDVrtOmpun3e0venfvLb/+eXLL7/xH8wv9n9/drr6Py7AT8x1OXXe/NjLLz76kcMvPzp5+EjImOezY9yyoDy+/oSkJg27NrrEjKcFFV9Sr1iMsYBBCcnLh2d4/lCNQ2fnee/rurzuij7jjSbLrRr1doVm36fb03Syi90faHqhZhBaBpEhii1xbElSd0SJjzUglcj+pmC8IZhowPppw+Z1PaYnWnz9WXjkOQ9pxnjr9R7XXNbhsVdjokGT264RtPp95pfq3LrbMD3eo6oDBolioR2jjOCa3ZpaI2TfwQqvv26MW67usO+gAjvG9Vf4/Oi7lnng+Yj7n66z/2SFrTOK9ZNVJho1xhpQDcDTFiXBWNh/TJCmgjgRRAmEMe4zhin90DAIDb2BoRcaun1oh7DQlSx0YWAG3HXtMu++rcX33WWI4jHmlhqsdlwA3+lregNJnDinqllXvOuKlHfd6LOwOM1Sq0q76zFod/nq1+6drAWt/+umW96krW39JyHG/scDeK/XwtPiRx997ImP7Hv6G7MbJ/rs3FKlWU9ZbSesHxg6gwoLC5KKUoBFKUHgS1JjsdaAsCiZEijJYq/Kpx7azIPPtblj7yo/cNcqe3d0mRqvsbRao9MP6PW9DNjKHZEgjN1FSxKy3+ven5IWraHiQ61qmGzEbJrtkdDl0JmYP364wtFTdcaDKjdeobn1qjZPvdbivm81uXlXha0benziGwIlApqNmNVuiLGgBMw0e7Q7Piap8u475vnUV2tccr7CO2/uEcVLPPzSFHFa4aYrZnnnjW12bWnx4L4eL56q8cIxn82TksmmoBYI/MwilQKEsBgLxljiJLtZY0sYuxt5EEE/gs5AsBIKljsg9IBrdq/yA29Z5fYrUqYbVVbaNVbbNdr9gHbPo9PTdPuSQSRIUtBKsmnGZ93YBAePNen2NZ2+ZLktmF9OOX1+hfsf+OZsf1D7yLXX3mYXF1d+Z3p64juCs//uQeav/trHaROTxuqH33xt//9Wg2PTc/NdhPBcZN+StHuGfmhIU4tWksBXSAlxbAnjlH6Y0h+k9EJLf2DphpZuKFjuS5b60Itjtk13ue3qVX7gzT2uvUSQplWSJKA3qNDte/RDTRQr4kSSpJLUCIwVCCxSWALfUKskBH6E74WcWQp56qDk8GmfY6erKBNwyQafy3corr+sjQoW+K0vNBh0JnnbLZKr95zhn/1uk72bGty0d8CXvtUi7E3zQ+9MGKTn+dLD09x8WYM9l87xz3+nwnXbmrz9VkMvXuA379H4NLl+l89lOwSXbumB7HDk3IDDZ+DpAzVOn69T04JAS+qBpeK5SngBWOtu1iSFKIEoFXRDaA8E7Rgik2DsgBt2tfmBt7S5Y2/KhsmA/qBGq1ul3fXpDny6fY9uX9EdKHoDQW8gCCOIE4uUrvdUK0hT6IeGVs+R00onJU0MqjbFu96+bfHDbw3/ofLCj+/fv56b7vih/654++/K4J/73Of4hx99iJ/98Zu/794Xjv/7R554ZfwffM+A3duaLK7U3BtSmmogGUTauQPZwwJSCqSUSAFKglYGTxk8DwLPUvVTxiuCTuix0p7gs480+cYLA9ZN9PjgnS0u2zJg0O9y5Q7LlvWKMPZIU0VqJDYHtzR4OuXEecuxOcFq33DPYzXOLE5gI4+JimLjlGbbes3OTXDlJW2MXORjX6qzvDzGzZdprrykxYMvCETiMTshqdcSerGPtBKsRGmf1kBwfllwha1x5/UdHt9XZeO0z81XTvIj71rk977a4emDdboDj6XVBjs2VtmzocdNuzu87/Udzi4vc89jAUu9gBPnPM6c8fGUOz8CgbGW1EBsLGlimJiKueqKHmEYc9mWkPffGTI7pphsBMRxhXMLFbp9n97ArXJOxin6A5c5HYQwiCCKDUlisVjnLAFJYgkjQ2eQ0ukZVjow31Gs23CajdWXpk8everfL/Wuit9w9XOf/MLnP8t77/6ev3kAb5/6bRqbXxWz4zd94IVX5387iM7V9h9t8sKxDtfsWnUAE+BpQ+BrVxWYOE2ZGkiNIE4gVhKlBEoJB3Cd4nuGwLNUIkvVtzQrKeNVQS+SdKI6x07X+VefnASTIJKE66/qsWN9RJKAscbJHQRSCKQSaM/n4Emf/Ycr1Cuahi+ZrglmpiSzk5qNM4ptG1L2bFslFUv82uebnDg5zs27PS7bntJPOnzrpYDxqsfUmGW8EVGrOilkjKQ1UCx3LUutlFa3yu1XrvLM/h4HTirGmxVuumKcH3/3Er/+Bdh3uE63b1ntaM4vN1k/XWN2YsC2qQH/+AM9mrUWLx6Dg6cknmdRyiKEcZRgHZsnCWxfn3Lb3oQ09oiTAGtrDCKPuUWffuhWtEHkpFs/VPRDySAUDCLBIIIwsoSxIU4cwNPUxUGpgTgxDCJLL3RB60JHcq5neNuuNldurvDg093xgT332y8eviZ53wf+1sPW2vlBQlr1/tsLiP8uAP/l3/jP3PnzW9Wv/p3e3VuaL398faNdue6ygCOLEFQNY40e1nhYC1oF+J5hEKpMH0uSLHBKEkHkgRcJl2b3JL4nCfyUSnYBwtgQRZZmgvs+gSgRDGJJmAbEaYUDh+u8cABSa3HQdtrYk+ArV/PRCODKDdCswlhdMtFQTI1rZidh6/qQDTOrxHaZX/v8GEeOjnHdTsXOzZJLNq/w0CsJ55fGuH6HZKJpqPh9AhlglSBJJcJakjRipVvh/JLHdZdVuWZ3h8f2VVg3IahVGly32/D37l7i33/B8MqZBqtdw2pHsbCimR6vM9GsMtEco1mLmanHbLsuIvASPJ2gVIoULpiwuJsqjhXzC5o4UcSJIooVYZw9R5IwloSRZBBJwkhk8UkG7MgQx4YoNsRppu8TS2Lcc5iQARzaA8l8T9Lt90nCmBNzY7x4WLL/+OFabbr3n++880h7w/im6wfd/qn/Htj7bw7w//wHf8L0WEVVbjn5/s/dv/z7e7e+VNm7tcbOzRVqzQ4bZtt4KmWs3iVNBUoZPO0z8DVhpIhiSZQ4oMeJIIoFvudGKPhaEPiKKJJEvnNDoiR1rkgyPJIU4tSSpqZYDYyhALfIJY/EyR0tqASCWiCp1xRjNcnEmGB2MmHb+h6N+iqffzzi4ZcmWV1sctVWxbYNHru2DEjFKl9/ukbd08xMKBq1AS8dgVePavZusfRCxdW7Yq66xDJ3LmVhxac/qPH2Gzs8+mKfQ2cU9aok8Jvs3Wn4P354iW++0udL35xmqW3ZNpuy0tKMNxVjdY9GzaNetVQCQ+AbAp2ilZNaUrprYC0uYWUEiXGEkSSCOHGrZBxLwtg5L1EsXGAaWaIM1FGcATyBODXEiZMlcQpRYglj6EeCTiRYDiVLfYNvBpyaj/jEgz0ee6FKpRZxidgXnD/SYbB4xe2r/U2f+eaDn0/vvOvuv94Av3wnst/vfDjqzP3Hp56eq3zhoc1cvmOVW3avYEzEqfMeC0vwPXd2mJ4weN0EX1cYRD5hpDOWkUVA6ABv3YXwBVEGevf/IYpl4SAk+XNqSFMXeBmbOSWZWyKEQEpQUqC1yG4a6Tz3qqBZs4w3DOsmQ2YmOiR2lU8/Kvm9r04xW6lw1VbB1g0e2zcatm1Y4fPfsiwvV7hsvWKiCY1azPnjkvmVAH8HhLFgZkwyPg6HjllW2oa5xQq7tld40/UdvvxIhakGBL6PkuPsvUTwE++cx5Pz/OljE7x6psK6dszseMJYXdGoKmpVSTXQBD4EHmhtHcgFSFECOe7GdufCOSK5gxSnLqEVx6kjhjizTxNDnLiShSihRBwugA0TwSAWtGPBSiRo91LqfosP3bXIpRv7xKnh7tkBN+xKuHJLhTNzC8GB84u/3Uu0Nqg/wvHMX0+A/5+/+QUeeCX94Zs2PfercX+1uWFC0Y8VT70yw/1Px6RpColhvNllbmWRn3pvm5mJmF4lptWtEEUeYewRxoo4W06jRGUgzsAe576ve44TmV0wSFPH3qmxjrGNzXs4M3A7gDs9L/C0A0glgFrF0KgmjDcSZsb7TE+s8viBiD+4r8rBY+NsH/O4ZD1sXu+zeR3s2dqml7R5an+TqvKYmVCMN2C8ETIxluD7GiHczdUPfZbbMas9S6ubML/is3V9g1sum+e+p3scPNOkFsR4ykeIMS7ZpPjBNy9yw555/uC+Bk+9PM5SVzPbTBivJdQqkmpFEXiCwJN4nkAriVJk9qFDucX1sBoDqQFjyG5+RwROehiS1BQgzsFdgDp3ZhJBmAh6iQN3q2eJ4gGT1RY/dfcC/+h7+4zVNGmSkCQDVtoNzi5MsNyu88xLx5uhWvm1n/uxS/zzx/7g99bt+MG/fgBvtTooJX/stz7+uY987r4zU6utKsZKphsuM7ha92lFgm4C7bDCr3464NUjy7z7jg53XrPKxtk+rXaVfhgQRh5xooliXYA8HpEuuZctiVPHTM76c2xljMRYhuB2ScqMuZ3V5WmL71kqvqFaSWhUEiaaIRum25xv9fiNezy+/swkyyt1Lp0RbJ0VbJr12Twr2LFxgPZX+dTDmqOn6uxeJ5loSMbqKVKGnFmwBNq5P9YKolizbbbN06S0e4qVtuX8cpXdmyu8784Wn3nQ5/j5AE/HCOFhbJ04kVy/Y4Vt39vm6/t6fOLrkzx7vM6mCcF0PaVeSan4gsBzEs7TAq1wgbMUhR9scTeZsTinJbUZ0G0B9FzS5QCPM6aPUsfYYQL9VNCJBd0Iwl7Mpuk2r792mb91e5e3Xm+Rpsm5+Qph5NMPA7r9gFY3QEm48pKYVu/U1Nz8Jb9y5fXfozqdzn9qNBp/fQBuzSKI9Ef2PfOtj3QXDs/OL4wRJQbfszQQSCy+NtS1O0mrWtMejPMnD1d55KUW1+5Z5cN39XjnzRGzkwG9fkA/9IkSB/Q41hm4VXZIkiwYTVKZOS9iqLWNoFAl1jG3FKCUcx08ZZwT46dUg4RGNWR6vEs/7vPgS5Y/fmiMp14eZ8L32LvJsmFSsm7KZ+OMZPO6iJ2bVnjxeJ97Hp1hTGlmxgTNuqBZi2n1Ur76rQoN3yKEA1Y/1Lz7tpCvPOlqQFpdw/yKZvNsg/e+rstTBzrsP+RTDxKUFA7kpsYgclr/B9/UYveGeT71zTZPvDrOyZUq65uCsYql5hsq2uB7oJVASXcjOyaHPPWRS7V8ZUuNq07MV73E5KB27lVkBIME+omkm8IgtkRhRK3a4/vessyH72pz3S7DzLhPp1djqRUwCAP6oUcv9On1Nb2BJowk41UfXwY89Nix2XOtxz5y8y23mdNzK7+7ef3EX22AJ+ESZ+eh1a780PnTD/7rs0cfmhqrpuzeGtDqpvQGCYPIoJXTiZ6y+JEgUIKakqx6AWe705x5qsaTL3X5zFUt3v+mPm+/dcDUpEcY+kSxTxRnQE8USaKIU0WaSBIjSUsANzZjbjO0o4SwWVDp6ji0NvheSuDHVIOIRrVPSp8H9kk++Y1xXj42hogDtk9YNoxbpscVM5M+66clG2ditq5vc2qhw29+qU4SVtm8WTDe0DTr0KzFCC+i3a8z3rAIIbAW4kQyGSgSk9CJfTq9lJW24sxClSt2NvjJ717lV/4o4MRCHa3i7MbQJEmFQSRZPxVw/aVtrtrZ5ZUTZ/jjh6rc9+w4Z1tV6oGi4UPds/ja4inQ0qXzhRjN7BnAGnfTpUaQWkiMIE0hTgVxCmEqGKSCvoFBYomTBBNHTFb6vP1Nq3zgrjZ3XJnSrPiEUZ3F5Qr9MGAQevRDn37ogN3ta3pZwqg7EKx24Mz5BZ45cN9sNzT/+j1vfV2yeP7Mfzaqwez0X15q/y8V4KvtPo1G7T3dxYd+/fSh+5tJNGB2soqxrvPc0wJvkCJlipLGpcOlRUs3PTWQgqqWtOM6C1HAl56q8cgrPW56oM3PvK/D5VtDZscVzbomin3i2CNJM6CnKgO3JDUSYyXWOklgi4ASpDAoZdHKoHVC4Cd4KqLdj1lox/y7z1c4Nj/Bvv3jWOMzVRXMTlumxwRTTcXUuMe6Kcn6qYRNMz2mxlf4+nOGZ18d56rNgomGpFGTNGuGejVCeCFBoNHK/X1rIU0l/VDTH8QkRtDpGzpdy3LbY26pya17utxyxSqfur9CdVmhZewAaTVJ6hPFkn7oMT1e4YZLutxwaZen33CWEwuSP7hvnPnVGqeXAnwlqXsCP5dh0gWeBZHnUoVMj1vhmNsIwhQGmVQhTSCJkSpiw0SPq7b1+Jn3dbjh8pRmxSOKa6y0g0JODjJg90MvA7VL9Xf7ks5A0O4aVttxtnq1+MSnH5xKrf71973jxpXVdu+ev0xM/qUB/NTxI0xNb1K/+KufvDSwTzbfds0RxmqznFtUxIlACIWUCqVEFt0LBzZpHdCVs+mCxFBVgq7WdOIGy1GV+55p8virferBgL/99jabp2K2b+xz65UdtHQtYqBKWUlXK+066TNwYxHSokRKGFssCciEV45Jnjmg+fJTDV452SBKajS0YqZqmaxbJmrW+eBNzeSYZmpcsH4yYeNMnw0zKzz8csjHvjzLhnHNTBOadUWzLmjUEqpByOOvKQaRxqs7UFkriBJJRSuu3d3nyZfGXeFTP2W17bG4GnB+cYKffOd5Ti8u8eTzM3gSEDEGSBJNFHuEkaTb10w0Kow369yyu8cbrurxvW9c4MApw1eeqvDUgSqvHa2TCE0YKnqxQgmJEGJN4JnlBKwhMRZrDJ5IGfMjKsTccl2XHRsGbJ5O+IG3Dah4ikbVYxDVWW37zgiIfMLII4y1SxqFOmNvSXeg6PYl7R50eintrkvnt3uWs6uKqHWG5XNfbM4dPXapvPJH1IEDx9LLLtvxVwfgvaVnqU4qf/HMI3/nyi3Rr/7Lj8UsLXv85LtaTI05ney0nsJalTFqknnQxjGrtEhp0TF4ylJJBDUt6CeKnl+ln1bodlJ+9VOTmCRi3cyAK7YOmBpLeP+b+mydjYhjkeltCSXmJtOfUhqEFHz2m1VePFJHaM2JszXOnK9RqSrGAsF43dKsGJoVaFQFYzVFs6GYaGimxmF6PGHd1IBNs21Su8pnH23S79bZtdnSrCkaNUmjamhUEjwv4utPVgh7Em8WZAamOJHUq4q339TnkecM3VDS7ae0e5rVjmZuqcblOxq8/442+16pcWK5gZIGiDO97BGnLhE2iCTdgabV9WlUa9SrIZdvHnDzngGn5lscP7eK9lJeOKr5zEM1hFIO3EKOXkRrAAPWEscp22YTPvimPtPNlD3bLOumIIl9oqhJnLq6oSIeyo4w1oTRMCPaC5UDeF/S6UOnn9LpJbS6Ke2eYbEjaCcpP/aeNrftTnh2v/pV7/S3epu3bvu9Bx97Ibrr9mv+agD8gafPoPTK7m770G8knXvlTbsbRHFKtRKCrTKIdEkXqwzoYGyS2dEmqy9xksVT4CmoKEtdu+h9kAoGRhMGmthUWeg2eegFgxUpX3wqQYrEpdytu0iQmSXOC0QIhRASqRRJrJFG42lJI4AdM5a6Z6gFhloAtUBQr0oaVUWzphlrSCaaMDWWMDMRsnGmQ8oK/+5zFR57aZZLpmCilrF3TdKoJtSqEfVan2q1RqAkSmYaHCcH4thj0Bf0w5ROqOgOXI11q6NYqfucPj/G7VeE/L0PnOfffEZzcjVACIO1MSa1xIlHFEsGoSuIavQ19YpPrVqhFtSoBDGNasT1uyJ8L+bGXQk/cFcPrZIsCWQQwo6K8kzSpalESkXgaawNGESapeVcBmri1MU+SZ4VXZMZdQCX9EOZMTj0+oZeP3UM3jOs9ixLPUkrSalXIp59rcqXHr9P/uDd3d/wo+VHq6L/8l8GNv//BnhkrdfrRh/6rd/7kz0PP31Q7Nkac9NVJ9m7M2J2wmfe9mnWdOZwlLzq1B3WWrCyxOSglcXTzqZylhXUjHX/PtOIcSBIjCYxmtgEhe1lS++tyFIK0EK4TKWCStVS0ZaKSgk8CDRUfEs1EFR9Sa0qqVW0A3hdMN4wTDYTpsZDZie7bJxd4mNfNnzivnVsGVdMNwzNuqJRU9RrUKu6OYXnlgxHzgVUfHfzQl7pJxhEmh3rDeunB7QHvquK7Ke0e5LVjqZRrdCojfMDd81z9Nwcv33PJrTUWAypSUmMJU5ctrcfudqRXkVSG2iqgUc1cH2WgZ/geymeTvG8FC1do4SULp0vssOVrriJBNY4edcyWTyTxTWpySovU0mS5pWY7jm3baM4T/fntSwQhpZ+mNIbpHT6hnbfstqXrESCpY7hc98UXLVjkev3+FTifWJpjrsrzd1HHnvoj/u3v/FD31mAtxdfCbrd9q9snTiy6XvvaNOKYN8By8qy5rItIeunWgicJo4TmS2rgjASxInKsosGhAO5ykAYp5DooS+bGJewcfafzSJ/MFYUgRJWjADcaX0XWGlpXHuXylcIgaet8421m4hV8SXVQFGtKBpVSaNmGaunjDcSJpsh0xM9tq5b4qnXQj71zY1MVALWNQzNmnDgrkrqFUO9ktCohTx1EF44UOPSGZvp3mHavB8qbtxj2bW1z9Mvj2elvyndvs5A7lGrVKlWxvnQ65d54bV5nty/HqzCmNSVwyaWJLZFPUk/1NQGlmpFUfENge8R+CmBNmid4mmDVgalXOwjpSsNRjho53SeB+cmP0x+DEuL0zQnqSFhxUVW2dWzhLEgiiGMXT1Lb2Do9GGpJzndUiy1QjZPrPLGG7psmk146sUJnj9QlVdcOvfP6rNNH6/5y0D0HQP44kpP9nq9n//YJz87ta7+DG+81nDPY5Z7Hpmh1dc8d7zD997V5ZbLlti6PiFJFJ2eRiuFUqCUwFMSN03NIIVbypMUdA7qlKx+JM9IZkX9NgeLvcDjHgX4MKGjZJaxVK47yNOuYSDwXM15JVBUA0GtKmhULc1aylg9YbwRMjXWZ+PMCk8e7PNLv7+Ok6fH2TltGK9Bs6qoVxX1CtQrKdVKjO8NaA0sSio85eqn84dLk0vixKdZjeklhl7o9ufpDVI6PUmrqqh1AipBg+3rY/6Pv9Pin39c8q3967AojDWkqSFJE6LEFNKgH0iqoaLiSwLfumm32uB5zu/XyjqAKwdumTkrDuTDR+4+5cG6yW7MNAO7Y3NIs9xDkghnLZayyklWs5Ialy0NI8tSV3B8AbzqKu+7Y4nvvavFd90R0R4Ijpzs8egLKzSbp/z3Xy/+6Tve8T97P/cT3f9diPpfOJ3/FwZ42O9gTPLLX3vk0f/l/kcWKn0zyye+kXDkjMdSHCADweeeGOep/X1uvLzN++7oc/OuZeaWqySpA6OUDuTaCkAihSsQUqlAG0uaChdUZQmJPL2cZ+Ksuy8KgOf2Vy5NcsmjhAO3Us4u01krmqclge8GAFUCN5KhGljqFUOjltKsxYw1IiabfTbOrPLkgR7//PemOXhykm2TzmFpVCX1mnTsXbXUKim1SkycRvzh/Q2kUnjSosTQJjQ2A0Xq8YNvXeHeZyM6UUAvA3i3r+h0Fa1AU/EDAq/Jni0J//JHl/jF3xM88fI6jJWkJk+rG9cMEhnCigvwgkBQ8QSB7zKbvrZFxlYrg1TuPUlpERIkLj9QSnkWDou1IvPLRXYtRAH2NIUkdWXNicnrWrLS5tT9m7wcIkoEy4OQt9+6zN13tLj5MsvseIVBt0lFGX7qu1PeccMqVV+j5JnKc888+r/uvvLNYnml83OTE3+xTOdfGOAnT+7HWnvLYOWx6mw95vh8lfmWoKlhbDKrQzaaMBrjsRfqvHok4s69CZsnJVq5JAI4gFskQjiWU8qijSnAbUqSxFoxZOyMwe2a95UnM6QAIUV2EYfsrXVedyLxPOnqN3xBJXAzT2pBSr3qwN2sR4w3+8yMt3jqQI9f+t1JXjkxzeYJwVS9JE0qmnrF1a9UKwnVIMLzQs4sTeApgZIms+WGQWaaSpJEsWHCkiQx7bhCP7QMQkN/kNIZSKo9RcX38L0Knh7jss0J//JHFvj534EnX53NWDQvYU0zJjeEgaESSQa+KiSY54GnnURzdSou/yClLVwswWgyKD+3Q8lCweTGCky+uloH9KJ2PyWrAcpApgT1qubaPYJ33dnhjmsME/Um1nicXXT5C5sR3uYpQW/gc/iU5qmjz1Q/XNtxi5CSv+jjLwTwL3/lq7Q61D756a/5B4/2GMSSjROmpJUp1Ttko9TwOX0mQCYwOWZQWjogSoHG+eJK2kyGCIxylX/DIil3wo0dFvJfAG6GzJ1XCUopCnAr6WZtD+UJVDwIfEO1YqkGTj/XqjHNWsR4vc/0RItnDw34xf80wUsnZtg4rpipG8aqgkZFUqsoalVBteJuDpfqj3hyv6A78KkosnS50+D5e3cNHJp6RXHrlR2eeqVJL3YypR+m9PqKTqAIfIXv+Zl+HufyLYaP/vg8P/tb8MT+WWIjiY3JmqWHPZihLwl8U9TM559Zq/xwpQp5Gl9Kl+WV4uLXvAzy4toaStJldJXNDwdwScWH6XHB1pkm7XZAp2MLGZTr/dS4eqLESOrVlNsvW+bYK1/1L7/qbbUnHr23d9sdb/tvD/C5sydZt2HL+J/e89nfrHnp62fHVDb9yRYFO6kZamRwJ87Trr5aawdSZcsMK7DGuoxnobFt9jNXJGXLz/kZLyMbMQrurMhIFQDPNL92TOZ74HuGip8VWAUp1UxeNKohY40+E402zx8O+cX/NMELx2dZP66ZqRnGqlCvCOpVRa2qqBXsnVIJEhq1AQ+/4LPaqjAxMUyTQ3aTmqz7PVXMTinuuqbLw88Y+pFgEJkSyCUVT1LxNJ720bqKlIbLt1g+8uPz/OxvWZ44OEtsNHFqXNVfagsmD2JZVBf6WqJ1VoQlBUrn54bi/RU3IRem9UdWzQzgWEjtMN1vTDk2coVd4FZPKV1ty/xyQLev8T07bMqwee0QmZ6HJPVdS5xKXl87efx37rrr7r977OjJ1R07t/63BXgSnmT+9LmfJTrx4brfYsv6gN7AMMi6PtzMEltoZbJAT6s8mJMoKYvArwgKlShkiLXDYiBrhhVwI6ydATzPyOUXRMi8gm6ou/OKQa1w9Rna4nmusbjiGyp+SrWSUKvE1CshjdqAybEW+14L+d9+a5rnj65jdtxjtpYyVrMZuDP2rkiqgWP/SpBQCyISE9KJAoSSeDmDFxpcZA6QKxCLY4+6P3DlAlGFiRzkg5Ser7ItUSSe1ng634DWsne75Vf+7nn+yX80PHFgHbHRhKkgSk3G4oJK7Fr5fE/ga5OtXk4iqmxFc+dHFJJOiuEqmJ/XMp+sBfoQ8KVrlNm1+YqKdddkEAnoOhfN02QOztBZSvOqxUS4gLtvWG6d53yr9uFg7PkjcRz//H8tXv+rAH7w0Gm85qZtD33j313lpwe5bIfH3JJkpe1SsWGcNxkYUjNEo8iYQivpTnBWylkUAJVOYn4ijRUlKTLMSg6J21kmo7JkuNzKrENHKcegeXGXlxUh5dWDFS/NdHNMtRIy0ewxVu/w5P6En/vYNM8dXcfMmGammjJWsTQycFcrzk7MwV0NUip+QrMesf+45Zv76vhS4imTLf9DPswtzjhVJEZz5/Uxl+7scuRklZmaa/8aRG6eSW+QsbBWaO0VpQ1CWK7cBh/9iUV+/rcMj74ywyCuEqauIaSW1XEHWUO2r/PVy2QSRSJVWqxwSooSwMXIdcnrVkQO8Oz0u2szBDZ5HsJarACRrapKiqJ8IjXOIlYKlMjjKZGV7Lry3PwGX+0knF0yzPWOs2PnI1f92A/9vW3d1qkT9bEtf/kAP37iLJMTze1PPvPEv73nof57lFniQ2+ssn5yAoGz+waxII6Htdh2qFGy8lSXbFF6lNVy9s1PXAH2UbIuVgR3zkvMXQa3sEiV24J5nUvG2tqV6XqeIfAMgZ9Q8RMqQUStEjI51mOl0+ORl+Gjn1zPi4enmc7APV61NKqCekUUXrlzXoxjb98BvBqERGnKoF+hktXXyBwwxefJXIhUkiTaaXkdEkaWfixKADf4forvaTxPOntVegXAEXD1DsFH/+4K//qPEp44MMXZVpNBXTKeWhqJpeJZguzwColmM7uQEsCHDF683+xNF+ZKmc0tWGEvvF4jmTan6VMpkNKSGOeVa+lW2vwGMta6gDWTV2Gc0usbFlYMsYh5xw1z3HjJ1HuOH3o63bT9qv+1tTp3fGx8/V8uwFsrp0nC6s3zZw/f3Vs4yemVSY7uSdi5wVCvumjCy7prnG2UsXD2KAcyKi/Ez0pX8xLWgptLy+HwhJVeILLiqZxtsNnvJktgZOBWGbizslhPG/yiPNaBO/AzcE92WVjp85E/rHHPt2ZY7E4wMyaZqWTgrjjdXcsCy2ogqQU2Y3CnvStBBER843mfldhnKmCkHjtfjnOrME1d80Mz0Lzpuh5PHozoxAFjsSGMHJP5oatV97UDuFYWJT2EdAkaLFy2RfJvfqbNV57s88u/u47TixP0xzXjvqCRGGoJBLEbvewrN9DIywNNKYogOH8eEs/wxhzZbE0Mr8sIKa15SVEDlMdEygwbMEq/z2T5jbzNMIzdXJwogUu3GG7Y2eCZffNMbzpwd6tf+cMoGhz/L8XtfxHA290+jVpl1/PPPfX3lxcOce2eGrsHEl8lRJG7AGDxtLtDnVUk1gSaFGDOpzC5QTW2YIn8dfai78KOnjjKvy93A1ziQmXSREsHbDdeIh8xkeJ7CRU/JvBjGtU+Wvd4+IWU3/lqky8/Nktkmsw2BdMVJ0ucBZj75Co7RMbcZfaO0Trk8VfH6UWaDTWb3XBrGZwiWRInioqnuOXyPolxAO/HgkHuhkRu5Jqnc4tTZUDME+tOwk2PCz78xi6N4Cy/+9U+j7w6xVxcpVeRNBNLXVsHcp3FISqr4FQ2A3lGDFn8ktdjyQyJsiRXSvi+4BKt3XWwLHnK58HV5dhhya4pdRMlrrHZ9yAaVHjoGZ/VtkWceIUNG3f9/dted+tzUdg/5Ad//tzDPxfgx46fZt9TD1CtNTfOnT32BmlW2LZRo4ShErgTHcg0cyhsYfqneSeNXZOEGWHf/ITYC4KatY/yDZD/G1lchGFGztWZUwym1Dp1w4GyWozAi/G9mIofUasN8P0en7xP86/+8yxHFibxggrrG4LJIKUZWOoB1LMO+2rgsp2VLCHk6lfSbCVw8mSxndKNfHyl8LObTYrhB3BWZxZoZlnAKPGoegPWj/dZ7TXoxyIbt+ZiBc9LM5tPZXanKvzrYeDqKh/fc0eXG69Y4KN/MOATX59hOanTCzwanqShXQ1OoMHPCtp0RgT5SuNknSgkX2EdloDprkdJL5av0xqmd//GFr8vf1E+gctisca5MeVuojR1t9BqW/DqEbcRF3aFl/cffIOx6caV1dah+fNnmV33Z28//ucC3JiUbZe+YXvY3vextPIojZ2WJPWKu9U10ooi/TxsGcsTAlywdpWXvAsAvuZ17ms78m+G0oainiIvt3UXyAyZW+V1GAm+5yRJ4IcEXp/j5xN++yt1vvDoFEfPT9CseUxWYCJIaQQ2S73n4JYZuGWRFKpk2jvw3Y3TrId8/nHNoRNVKtlgoqJdbKhkh2Mcssq9ONFctg3edWOH3/naFN2aphlbBrEliLK4QRm0zoceUQK5Nzy31q0KW6clP/f9Pa7acZrf+vIkR+fGWEqqdD1NXQlq2lLVTq54WVzk5Ep+Q5b88QvkSklOrknvF9dPrHnOial4wVDTlO3FNLUkWbCZJ5V6oUH03D/sRzD3lRf4hd27P/bOt97xjoWl1p8rVf5MgHe6KfWa5IFHnt28Mv/iJZfPnGDruhrdfkAU66xYSg4Lb/IqwawwxwWaYmRMQxnFo0Af7XYfnqwSuLOvhxKnXE8xrLFw7WgZsFXiOne8hCAI8XVIJ434jU/7/O5X1nNmaRyjqkyOKSZ9y5hvqGXMXSvS9zKrU8mkSeadF+D2XfYyjCMOnQ7oRgETQebiFL780DIrJ3uSVBLHmmZds2NzhAoGdKIGfV9QzeaT+Jm88jKJonPXQ6hvE7wqZsZ6/OR7etx95xy/+5U2H/vsFEv9On1doaIVNS2oKkslLz7LmFvLctwwHD1RJpURwDLK2muJKu8DXbsy20y85wDP640cwMWwL9Rk5dKJoB1CtbXAmdPPXrIwJzav23LrcWsThPj2MP4zAZ5Gp6DamJmZ4NM//69f8HZsrPG9d3W4cnubiTEPKQJ6g6xHMlZF61iSOibJWSrPVl3sMTwhds2db4v/P5Q0tljucoCrQnebrAzUoFWK1ilapYUc8b2I1iDi8Rcln7yvyWcfnWKQNvB9nylfMO4b6r6lFlhq/hDclUASBJIgkyYuMZQ5ExnAfc9lPo+dszzybI0o9gjq9oIAM3+MFi65mS+ep7nrxg6feqDLwdN1+hVXjRd6Fj8BLzZ4kUEpmSVOBFLI4XCfHOC5x24ktUCzbrzPP/lQj8u3hnzivgbP7B9joV9noHw8T1PRgqqEQFn8rH1Q51IlzwbnTA6l8z90V8o1LMX1Kzeb5B5j/kaL9ztkalfLkm3LkgoG+UiKAQgdMVXtc8elbT5wV5cd4494q4PbP90/27nGJO2FvzCDe8EmefrEizefPvKVsS2TCV9+YjP3P99n/Vibn3nfEu95XZ/psQqdQcU1BCfaFcKnqrh4eTVaYS0BmUlKubg1P0llYA/ZO2du13aWd+c49jYoaVw3kEpR2eFrJ0e0jml1Yx57WfD7X2ty374xllsNZLVCo6oY9yxN31DzLDXfUvXJWNsxdzWQbpcI301TdRV6JgO3cSuDn6B0yGun4Uyr4hIrWbPv2sRJvpi5PshM2hlJFGnWNQW7tvR56WRCL/YIsxnffuS6nDyVFnMZVd4xv6Yzp6gVyWzIOHX14R+8q8/bblrhwec6fPzrTZ7Z32SpU6Mlfbq+diPrpOvf9KVjdJ0ViclMCqqSty2E61BaGztdIDUZBXhOdEWrnCnnBRxb97KRFP0oYbLS4d23L/Mzd/eYqvtUgzpfeVLzwP6Hx95yh7r5uit2fY0/Y3jQnwlwGx8OpEz+42NPd+qd1RpXbzQsdKucmqvyy5+o8/Dz8/yv72+xe0uCllW82CNOvMwHl8XUVpMV0BcAvyiLDxlclO56UQJ5XqDv9LbJqg/z+uYUJVP83M2QMQudhIef1Xz1sQb3PDLGfLuOqFTwGp4rCvNcJ0/VI5MdUPVFdsis5DTT3b4gyNk7B7hO8P2Eih9hbcw39gWcOFdlelLgSZMBQwwbfYsT6zr9hxV5in7osW2d4K7renzhWxHd2KMfCyqexU8ci4dxLsNSp8EzXYyQIzLFHTKTiVmjQqKpBiEffGOft9y4xBcf7fCVx2o8/GKD+VaNvvDp+xrtKTwp8ITMQA5agM7kiirJlguuVZnRR0A+unoP2dutOEnWzR+mgl4K/QSSOOS6bYv8zPuXed0VirH6BAvLDU7OVZipa1ZaZ+txEv/Hlw+fvhzo/4UA/tJLL9Hv96noLjs2eCy3E5oVw3hFcGKlwR89oDi/aPnNf7zCzIRFhgEqSV3zb8bi1krXIULui1/cZCpLlRzUOcDLnScO1EOAK1WSIpWYQZhy8AwcP6v44/vH+NozTeZX6uBV0E2PmpI0PEtDG6qepepBxXPgrnhuJqErM5WlQ2T/32YgNwXIfc+1px05a3jpWACehyeHoxqKyVIlEVpentO81DR145z37gi5YnOXA2dq9CuCWiIIYkuoyKw9k7F37qbkwd9QqxQ+u8mloiJJNHHiMYg8qtWQH357yLtvXeXeZ7v8yQM1jp+tcOBMjWg1IAk0fa2RypVVKLL6lQzgWrjYQmKLxBDkoC9Ly4uQZpaZNtlqkxhBYiE0gtBAlBpMFLJ1eoVf/p/meeNej3OLUxw93WSlXWGl7bG4qjlxNmTmxGFqtdqfBeFvD/DzcydFGA7+/p9+8U+mO/0qzYZFaUElSAm8FGsNPVPhkRfGOb24wpZ1Pax1Oy6kqeu7TK3E5iyea/E8A1m62PmiNdTbjhEkuSSxWUubHbK2dLUfSiUkacrcEtz/kObI6SrffKrKmZUqR87WIQhQNU1FK+raUteGms4yfNoNjg88MhDnh8wOlQGcTHNn4PZSAs+xt69jKpWIYwuw/3gNT47ag4VEIbf0SvXsuZNiXOtXknhcsa3PrtkeLx9N6CUejVgQavCzIZeqBHApBULKESYHSmWtJRmUtZklqSJOPULPp1mN+MG3htxxVZszK22+8bTP0VMB9+6rcXapQtr3MFIT+wohXU9r3pFfJG8yqZI/5978n1WVmGYAT23pMAZjUkgjRNJn20yH2/cmLKxMcW6xybnFGkurPq2u6/Ecr2nOnDgy/aEPffDvnz13+lc2bth8UWv+2wL8a/c9jjHmw2fmluvjDQUWmjU3RniiYehGCeZsTBRZ/vC+CjftXc16DxNSozFGZdIkG+NQ1JMMrbIyc+fQL3oEKUsSJ0FE5o54QUKUWo6dErx0VHH/UzVePubz6rEK7bBCGAXg+aimJlCSmoKaNlRLPnCg8zqNvGzW1YUHmSzxfYXvy+wGsEPt7bl55L7ndH7Fj7Em4vyyJLQBWksXrBWZ21ENXrCYdXXUhYzI/HCBZmYyQqoB3dijpwVBYvHjYcGYVmYkAynLUV4+7AiBNcP6jzQd9lN6qSrGT/QGPusnIraui7l+Z0g/6vO3j7V4+bjP/U9WeOlYhaMnA+JEYwMFUmXJB+U+ICLLJovC3x51TUajS0dyJivIyqvpLJgEbAxpjG9DfuBtXSpBSlxJWGlrDp8K6PQs/Sgljt2/FXKhfvzQ0x/WSv3KfxWDf+kr9xFHbbW6+LLYMpvia8ez+ehhgeTSHRHfdecZvrkv4oXDitWOoF6JqdaTjLUVpG5uoBvCUwa4WAPwfFnLgC0tnjYIaUAaksjSG7jOk4OnJX90f0A3UrzwaoXDpwIWuz5h6oP2QXmopnJDhBSZFYYbZ6YysKq8XFa4pEcZ3J7Ez2RJ4EPgk7kmLmPraYPvJVlGNKZaiZhfSbn/iQatTsDEmEDLXEYNQX7RpdqUAkIjCUPF9JTibbcOuPeZPidbdfqedDJFg5dYvDj3rDOPXabOLqQ860QWf8NYPfI30lTip4pUKxJPZRPCvMxKjan5MXfsTbjl8pD3vmHAa6ckL+z36EeKT9xf49icB0LSG2jSvgbchzRalOwicfEPXTBbFmYbg0jy2toUTEq1FlOvJ1y9K+FLj3vc97Qm7AnSQYTAZn25Di/tLjzy5EFxxy171XNP35tcd9OF9eIXBbhSoCqN39i/cO7q1+9tkaY14liRZoFixU+ZnWqxeX2bu9/c4/t+cYI3/vQMN1we88E3D0gTZ9rPjBuuvTKkVs3Gp+VW4cU6FcC5JtLS7gleeE6z1BJUK4qnDnh86dEKg1gxiDXnzvsYFLH1MMIDrRGBRkuJrwRV6fzdisrsL2VdDbi2WarazRb3vfy5DG6VlfWKgr19z+D7eYFWWrC378coFfHQc4ovfKuB8jWBtJmnvKaY7CIMnnvhTodL4lQxGHi8+7Y+9zze5hPfGKObVKhnOtzLdXic19zYoltIFNVLOYvKkZYzB3Az7KHUjsk97dhc69QBPUzpKTdIf6KScOuehFv2xCBC3v/GHoPY2Xh/+mjA06/6VCuSxbbihVd82j05rJoc6X8brtJ5n6G1UK8YrrkmYmYscUNAU8MH3zzghssTVtqSf/SrU5xpTzA7qdg+FlPRTrqmJtvUIE3Zs+fc1c3mrb+RpvzkfxGDHz7VodqsNw89/5k973rdqpptrhDGA6LYIzUSgSXwEhr1LlLHPPpswJHTAYsrPofPCL70kLtDbWoZmzDcfFVIo2pcd0e5SaFA+WiWQErBalfyzEs+7ZZGakFoFaFRWBQIBVKD1AilkFLiCeHALC2BdEztK+vS0XI4o8/LgF00PGjXCJA3HpfBHXhZcVK2PUqQyxJvWM8S6BhrI84s+kRhhWBM4mfluaooMiplMcXwGpfjklxCpEYRxR4TDcWW6QhfDOgnAf1EUNVuQH1eQ5IntJQsZRmFLP6W+xu5i2WK+YOFc1OSRolK0WmKl6isxCEhTlJU7Jyp3H7dNO2+F8Jw+dYBke0hNbRagmde0qz2nGxak4Yevd55ObSx1CuWm6+OGZ+w2MT9r5oCXxvmVwR33DDgjx9ImFs1xJGiqp2MTS30EuhElj95MFB7drf23P2e9zetbbXXbll4IYMnC6SdlV/57S8cf2NNdLhqe8LrrlpmekyQJE6LC5kQMuAz92r+xccmWWxXINAkCFr5B1LQXrWce9iUSs7s6Ie9kMJBSKwQmLygm+GMY8dSLtGhhMCTOahdksLLhgZphdPBGeP5Oh+R7Drq8633cvZ2bV0q2w5F4GuKElPH4BmLa4Ofpf09LyYIYk4tGv7g3jpoH0+KYYBZyBNxAYOXG3rzIaEObM59imKPH3hbny8+3OfV8w26qUctEcPUen4TSRDZnjzF3yqzZ9FdI9fs8iBITOrYPJForfDSlFhlSTKlne2qshmS2XM+MEiKtAj0hbFMVQ3vfF0+SCi7zhdJ4xc5kOy9YQXG+Jho+MrEQBpbJhsJH/mpVSoavvRIjFRVYqkydZMyMzXgvVd1uWJTwuUbm288f/7WX7Em+ak/l8Ffff4+lJJ+YOf54wc28/Ew5oo9bWbqA0ziJkcJ4SFVjacP1VjoVN3kHKEusiy5jvhhfvpi4B6y96h+E8XS64b3OJvKExkrCzv0abNnL2uk1XkhkXTSJC8NdbXQWRNu1t0yBLgsAs7At0VLm++b0uCcBC9jb1/HSBlxYk6w0K4gtCaQjMgTKUZPSSlTXxrJQMkPd05HlHhMNUO2re9zYC6kn2oGKQSpwEstXpLp8CSvxTGlRIsq3U2iJFNkqcdVYFLhtnTRJmvylihtslKAFKVUkR1WRTJteAgxTLQNna/c4rUjsVWZyIpmCZxkLdWIFpiRuJ0lpmoxv/SjXd535wChM/IzljQRjNck1+4WtNtVHnlxmd7LX/cvhq0LAP7gE+eQUnDiVMTGCejHAa8dr/ByZInTBGNM9msk0peoiixA+G1UV3GSR+/kEmmXMJ5bTLntpAvv1TkTeXZNZU6FygGeNRfkw32GjsNwDkrB4gW4XYeR7+dAJ5MmGbjz7h9tConiaadPfT8mIeYrj1c5v1DFG1P4uTSRdtRBWXteRlq9BGZN0mcQugm273xdl8dfHNBOKvS0ppoYImXxslR60b1U1IqYoQYuAk0xYk06+9aQWvCyv6uNIFECncrMZ8+e8xIImbrPpExWGpEBPC/ZzQcIlaxevg3AhyvYRb7OfuDOm0HGFWpByl3XJ6WiPkWcePQGAafPVegNNBP1GDE4ifjzAP4bn7wXqSu3t08+eePOZYs2llYvZSIQdCJJN/WIUkFaGpEmGBr+F/L3KLhN8ZHFGoDb4t+O+KpiWPCjsq91dkHzyrcC7HK4dOfAHgG5Fo7JLwbwDNx+rrt1LktsprdHa8l9L8b3IuZahn2Hq6B9dCZP8vT82mxf+cS4Frzh+AuTzxwpxqMp4tjjuktDpsb7tFZq9BJFTYGXuBtWpdYd8dpiKDP8U/kIaYb1QK6RO6sTUobUCDwjSJUkVcYBXUkSaUo6X2XMbYuyCCmMy1EwrE1HDBuJ80K5UbYbhWCRti/qlMr1SO5394VlFZvFLNkKF2n6kU+v77HS9jl13qfWDG78/g9cffv8yc8+Nrt1uA/nCMAbOkXr6LuOriTX9gcREw2FlibzjA31bCeuJGMDsgv0bQyh0nI0CnjWFF6VKwnLiZG1IC+mVOXPBZtTGsE8OuCneM4AnveEejpn70xzawq9nVuCjrGH4PYy/a11jCDmy48GPP5yAxlofCnc/O2igpBSTXV+jtZmM9eOR3OBZmoU/YHHrVf2edcdHX77yw2iNKCbSiqp27avKIoSJZkihzMeh39qlMnLSaBUS7xswJIu9WqmypbkiSzKkGVhf46WTRTZ5zVp+wLgpa6s0Q6gNeUbF/MdstflHVBxoggjj+5A0+15tHoaaxImx+y1Z+bEdyWJeuyiDH7i5BmajfrbvvTVb3z/yuIi9ZoPCJRMENkkUi0tsRIFwMtNwiP3apaeXNunNwwzbfllIx+mnPUrQC7XgH0E5LlMKXfQ5yBfC/BRcLtxCmuYO+vZ9LP2Nk/nDQdJ6YiJiPmTbzRJbYAqspflAHPY15g7GyMaHJGNxshlisx0cR5sagQeH3xTjz/8SsiqiemnFfqpwEsoWFxKi0zEUA8LCWJt7ZEsWZNrBvgoS6qzmY/KkCpLomx2PmUBbPcsC4AL4So5hRxq7pyoLiifXVODZC8K8IvUKpVWn2EHlGQQatp9j1ZH0eop0gSWlzosLSffv/eau765vHj23snpjaMAH6/38X0u3bN1+ZLlS7qEUYNeCAvLECcxSeL+olZ2OEKtxNDDu3C4DJWbhYfszbd9rK01XttVUgZ70YEihsAejokYBXYx7CYDtlYic1JK4PZcx71rTLYZcw8DTF1i78CL2HdYcuhsBas8lJT40hTxwvBmHOq2tS5Kfhg73EfI2HJCxmnNSzbGXLGzy7deqxIrn34iqEjwUotOBErkJcMCmWQ6HInArFW2a+YNZixuR8t3U2PRqQO6MrnXLhkO6zQFg+fXRgiXhBupBL3I4wKyWyNRRntxxchzUXKQSAaxm6a71JLML6cMwpTnDnboqtYl67YPLu12w3svYPB2q4X2IrAhl26OUapHqyt4ZNUNWRTSBWgqH8bDKEMPtba9ENhlmfJnATz7z1omHzYsl8BdzD4ZNs4WXeJZKekQ3Pmoioy5s+E/bpyZLTrN83ESeXOyl4Hb1y6x42nnnlhiPvONGktLVUTgOYtSlAK/tTUo5Q9YOif57JhyHXfhTRtFFGumJwUfuKvDvsNNwrRCT/lUjdPiWgwlmgN3vlaYzBO3JTaXo4xo3QqS32CpAZ1Pp5IKZYzT+ArKk2jz6shCpshyicWwrujbXeGyizJUAGINlspjQkTpfGWVqUbgKQsMOHDS0OlBGBkua4UsLy3T7Q2Kv1gA/NArnwUUmEXWzaww3oj4/GM+D7w4zsZG4DYYVThtkIP22wH7ov//wu//LICvzQLmBUVl9i43yeYjKaTKx7RlzxmwcwbPPXHfy7cOzDOcFs/LJUl26LQ4XAOF26jq1RPw6fsahNJHSZnZg6MzWUYymIIL4pTyDX+xMcW5TCH1+MBbB/z+13q8eLRKrDx6SbZiZMG1TMuOikVIUZQ9uD9isr81um9RMVSzdKRpFqwb6UgjNQ7UypZu4FymDFfXPx/gYg0pihJGLg72con1SKGesEw0Y/Zsn+PoouCexxrUAsXj+/Zz6vQZknQo0TTAuXMLrF8/XfuFj/zqjudePU0/qqC9GifPBfjGw9WHiGIjJUoXh/IftxcCe/hsh///Imwuiv/kzC1GdLiQa/R4PvZNjY49KE9t0jrf5DXT3moNuPMOc8/1cLrmZFsElvmzzthb6wTlRRw6o+lEPiidyRO7pjz2wliCNedtCLQ1XnjWjZOWQF73BHs2DXjxUERqAvrGp5IKPCmca5NJlYLFiySLIQ8yhz0BeQFcNvXAgLbO1THGXWNjQRmRjd5wQJfGkha1+NnIj9JU2rIGX/NxR00GU2LxXH6UbroRds8xkmNG5FPSckKt8+Pf1eItNyyjlCXwO0zPTOy4+fW/WPvoL/xUb3b9egdwGx2jvTT31juv3/yzB14+yuJyQJwKpn1oVEyxwWixc25xn9rRO2zka7vme3FRRl9L4UW65wIGd6AfavDycM2yNMmO0oiyfBfjYbLHgdsB2F7I4MXA+OzI+zr9iOWO4f/5XIOlfiWTJ8PkzrBFTYyA/Ns9ivNhRFZUV2Zw56gkiaZZ0/z0+zo8uK/JUugTSU1fSvyih7J8c7lRp8OGEVOU0boqPom1xqVTSs5Kal1m2FjrwJ3HNSYfKSFKMqVsS+b6e/SmvoAEC7C6UllXbCZGsGPKrG7LcsY9u1EWbuSFtRprG9SrAVunDFEsOHZO0WXPz8ZPH3gsiftfLBj89Mnn8AOfqHuCnRtSan5AFLuEjptf5wreh0tvLlNG9bYpg9pkrDDCWBeZMXjRxWy4tEvhSvnzWqJcA44C3NWwaClGWrry7axzYOfzsfMRZnlQWciSnLnVcNSEzpjbUzG+H/HH3/B45UgVpIeUkqDc1iVGNXj+Qb5tNeGai1tuNzMZk8epJkk89l7S4z13tPn9r1UwOqAvfQIphkkfKQrwObkwyuSixORDXSuLv60tWAXKulXBaXGReeGl3syRm9iWbuZhuiZfsdZagqPzDIezKM3Iz9cAvQTyfGWPJNmOFoqVtoe1EMWKQ6dC1PxJFloQx27rRcfgNBDCZxDVMcZnckxnU2KHQ9FzkLmLk1teawYulsfrmvx7WwK/LN5wPgb5YhTnTlBeqGSHXelyLYMPh2xKWR4oKdYkekBns7HLzO2pDNzZbsdDaZLpbuXY29NuatVKy/CnDzVYbAVQ8dbIk28vUYZ10qNrdnGhKTkZ5U6cfNOnRDPRVHz3G3vc8/iApW5ApDT9VGb2ZO6mDKeFDdvkcioxRRltXtHHRYCmDRg1nDrrgE6xepeDTJGt5q7xueSDl1Z4sUZTmxGA26Kd0YwAfHSmzkiVhyivVBTVhWnq6pPG6x61oEqilAP44vkDjI9Nbn/+hW/9vXPn55gYD7KaCEqD50tXpvxH7eh44+FE2GzGtx2C3GQBjWV4M1zMQy9rVoEYWe6HJ/dC9lZSuABTylKiZ3h4xQ4Huc4uHxm4VTZPRQ99b60TtHKZy2PHBa+dqGAIEFK7DVaz7KoqMXcxzUmWpqGIIdwuCLzzi5w5BOVeSrcvjgaruWxbxCUbBiwdqGJT37F4Koq+yTwILDqjKBd62QzU2UZTZFLFCobBJ1iZrSTSHWlmvRpjh+e9dD2EAJnmK9Uaxsqay0fKBbLVvQziPJNbbE1juIDVL8ypiIJY3dhlQxhK0sWz7Nmz6+9dfdUbn3/h5deO6/NLln4crT81p9726msdLtncQGvrKs7yGYMjf7DM1CVA23xkcmlwvbVDJje2uDvL86UvGm+XAzQxOvF0hLWz8lqZa+98uKeiePZ0NsZNUwoiR4Gdzy0s5Ik2RXe+G0HhWuO+8q06hxar4A/lSdk9EWvYO68c/XaP4nxQ3gun7KaUymgjzc7piHfe2uPpV2tgfJLUaXEvzVycdFQqFVKlYNXyCc/BLjEF0AVGUjyb7BwaA6YglXyFEMXnprTSXvghS5+vhKPUiBEwFzPl81njxdd2hNkpiDSTUaklyfYA8rSkptpsmBBvqwfhetUwx3Wt4lLYG6clN1wGY82INBX0I0kUuY2F3EZQ+RsSRYKgvHdLPl8uLXZkyN5ADv60zPbDrUjKEXJZopRn2A0ZcQ2wc7Bnkb5aA25dAJtsPqHNfmYLJteF1s6HBbmS0Ty49FRMtRbyrYOSLz5Upz/woabRUuCJUnApLhJgXiToKoN7rebMd8QYSfhkAWecaMYamvfeOeBrj/d46qCPrWv6aYAvhjZlXodenh/jEDjU5SSZwFRZ4KncOmOtwCpX86GkA7WxmVSxIM2QYER2IwlDIVXWBtXl1ar4nMUUqxKwzZBEjSmT41Al5Bsi5PI3tdZtlZK4wf9h5LKxZ+ZTrr4RNm2zdPugm7U2Sgu2blygfv0RBuEkq50mq+0K3YHO9rUUw61Fcr/UijVvLC+oz58d2FXWYmTz7Unygh/pgtD8YpfZewhykQWXQ2mSs0cuSUbS9YpSur5UUZjp7GKMcvZ1MdpN2WJYkJcxds7cvh8RRylfe6LGqydr4HkIqTJQ5d7wcNSZKDF5+b7NQTCiwRHDOMZcxAtfYxdGkebyrQlvf12XF45XCROfVHr0jcJPs/OQ5tnUUZCLdMjkFoNNynZdxozSfa2UoZz1NAqUyVYpUy6dyK+PvfiNnGtvRJHUKgM6LR3GmGK7mnw3vRzMo4pg+Jp8nng/tCz3YKmfsNJa5Y6zHXbtHrC02kf/x9+5H600nd4yh0+uZ3IC3nVLzFhdg8DtQpCNRB7uxTIE/HBvliGz5xsSJflrs4BV5tsAyuEStBbgBRiEGHmWIxKl1HBbBneJuVVWD+4YvMzcOWtnbO2VPW8zBLly2jvwI14+Ibj38Rq9vg91DynEcApUkVm9SBYzf/8XXndsIRnEiLtUZnBr8tkmquj2aTQi3n5byD0PD3jhaADaZ2AkfkmLy3SYeJFrbrT8bwqVnXQ1VC35j6x1ILYKpB1KFmXd7zO2pMNN+VpdZJWCYV9xCeBpJi9SY4tnkzpmzlk83ymkDPLUDJVCnFqSBNp9CIKUv/2mPpO1AM1LvPzMKVKToC/bsojWsNoymHCKwLeEYYKvDbUgJdEmmxWXbwAqRpk6ky/F3ZhCqtxsOZVmO25Jgcx34RIWYTOw53MUhqQ2DDBLAB964KKQAcNpqJRqUUrgVvmQ91Fwq0yqqIy9vaKLZXgolaJ1jOfFJDbly49VeeTlKlQ0SIUvBb6wFwaWrDnK3xSfUowCYCR/kAXiRfmsKALNXIuHA4837O3xztt7vHKiQpJ4WKnoC42XloJdA8IIROpupXgkACxp8jLuVe6MCWSmyZVyQags6/AywNfkK9beyJT0dJmxHagNaWLdfp8ZaNO0BHDrBuObLJAsgztN8zmG7vPVlGJpfoKWkpxd6TNIItdHsHX9CkLA+gnL+kmPfuhTqxh8nYDO6yNEMTW2AHrO3qkYfl/smZhvwe2ALhNIcsBm28tZASPZ5BGAi6H+XiNRikpCtbaaMKubUHnpbOkoZInJAsiSY6LS4bMaShOtXN3388cln/5GA/Cd9y1UYQ3qfDbiBRc7976z1DIXsni5SG3Y+JAzuAv8hlLFFfq7uSYaazUffFOf+58Y8MwRN0kgFoq+EaMgFxZJJlXSvJR1FOTZ8IZRvawyNs9uPiWNsw4zsEoripJgswbk3w7gue7OGTtJTbFJrNv2psToGZCTQs7YC26OpPQ9QHdgeelISrefkHgCL3DdP/rsfIU4kUyPhVyyuU1v4BX+t7XD7ZvL+8sPAT3sRCnmgqciA7ZAxRCVtWcOYeGki8gCzjVG4cjyXtbeeTA39GTLgKbY536EuUs7PJSH4V8Abp2WQO56LuM04ZtPVXnpcNVVZkkXXPqlxgtRZvB8TFt5BSp/7hGJMgRQ0QBRDjZHNLnbvjv3xcPI48pLBrzhZsfi/dTDCs1AePgiyz6mNkuSlZ0UXLA5koseuitWkTkrw4Sdyl4jrcBKmUkWsJn+lhnIy3Jo7U08jNEycCcO1HHqNi1Lst3hysA1aRnUtrhB8vHKcWlYp7ECMQCzKmj34MpLPbbMBoSxQR+fd0HMSt9iRZdLt0RMNCSdns8gUsSxzmZnqNJ45HzJHE6RLXa7TQVe6vYrl6W1O98N3dic0zKTX4xe/LJ7srb+RGV7u4w0PBTa2xabTpVB7qk1bJ4xuR5h8Eya5JlLFePrmEPnBB//WoMw9qDmgVR4WWFV7jvn+nttaYEo4/piVmEpv7BWppiST1yWKkMtrqkHkh96e48vP1Ln4BkPlCY1ip6R6NSiyDKbQkCae+KOyXMd7q7LUK4UWrx882VsbiUl3xyMsA70eaBJBnRGmXx4ww5tvTR14I5iS5TtzBcno8Pvi6GcqYvrkizuSzICDVMYZFNo+zGEfcNEM2Trxphdmw2bpkMH8Btv+qF1T7/wyi/84de+SUyda/YYrt3R465rO2yY8un0K4SRn80Dz6bHXgTg+feO7bOKtMh1xdtMvqQZ3m2hqe0IdwOUZ2mLNeAup4pHwC2Huru8N89Qf5eH4ZdcE5k6oMt8xqFjb6USIpvw+W/Uef5Qpr2FRgmZsbctuonKhWDl6kHEqC6/CL5LhUaZ01DkCfJdycxwDHUqXVuZURijiQY+1+3q8743dfn3f+TTTz0Qmtj49IUrpZXGVRoKsveSDldLgXUXpCRXVMnVstYBPZctDuQ2W20kQuaJIafJR4LqUWmfJfqG9nGabVcSZXsRhbF1nWI5g6dDly6fGe6eJXEG7G4i6CSWwSBi80yHD7yhzd7tCXt3engyZHr9O36hOXntT2hfHB+/fEvvHbfslnzpmSa/+9Umdb/PJRtX+bvvXuX9b4rQuoYOfeLEK2aAmyLTVvZs8x0LJKFWKKmwVpAkLgt2QftO6eILRv3jHDD5VoMjJbKl4qZ8m0ClzEUZvPC3R46h763KAaZMUDLG1xGvnZV86sGam8EiHHvrbLRwMXzyIocQFxkrXABfMCp4h0debFV03ORbwORjJbJpsQ7omRZPFR+6q8cXvllj/2n3Hk2qGQiFJ5xMKXzx1BYRfKklpXQFMlbPy56L1cUZAQXILVhpkAxXACtEyRTId0u+8LYWBaM7gIexpR+5I4rd3vaJEYXbkhqRzS10P4+NA3cnFQziBC/t8UNvWeAn3t1h5zpF4AUcP1flCw81mdkQvmN6+si4ful4h8XlHgfnIywB66s+oWmy73CNX/ydgFrlLO+9o4MUNVTsZma4pTI74fkM8KyOwmQ7+AaxRiuP1Ah6oSzcgaLu144CGzKflVFgD4t7hno7L5mUcmgHqhK4VcHeJtvtwQWaa6WJ0tnsD50zt5MoqUr40mN19h/KtbeHFBJfkDUZDPcEutD/Xrsz2YUXukhslaTbsNxhjSeet7ON9Gy6ibFR5HH5pQPefXuXI58KiIwGGZMYmbG486+LjGZqC/k3nFuy1l1xby7NJIsaYWORafIc6BaJxJYsUoTINLktVuTi42ZxihCOncPY0u5bepEgjLNJs7k0sUOgJzYDtxEMjCVJY1TY5+47z/PLP9KmUW2w0hqj39cIGbFj0wIz6xeYmADd7XgsL3msLlbYMeUhJy2tPgSe4sziOJ+8v8Nd1y/SrIGUAUkGcAdsCZlvm7cW5d3P+fgDKeosrmo38ivO97EvffgSGMrdOyMtakXF3KgkKe+mdqE0ydnaZtOaTPacD7MxQ5kiU1RWEut7MUfPKf7D55sMpAO3Y29BkHnfo5lLW5qsuoaxRxerUZCXbvTRstlSI/LatH1pHHJq3CayQar4n97b5XPfrHHkrAYZAYpIePQFqNQFlEqUdPga6bR2QykrbAHm4Sts5qxkCTpZvHooy2S2pWPRmFAisWxmp5BuRegKw0oHzrUk3SQzJizZkFaLKUm2FJyNaA02jSEZMNFs8+E3t5lsVDg1N8mZhTHaXde7MN0csG6yQbXeQF9zqWXHjGDG8+j0Azp9y8JKSitMOa0Ejzxd5ZXjkjdcG4K1KOkmx7rKQPcJlMyXv6yaRlhWO5KVrofyOyytbma17ZqYRx0SWyx1ZTdiBNiCrJukNC6ilK3MgV08F+Ae1d8q19tl31uaLMDMnBMd0Y4Mv31PkzPzASgHcCHy4HJoCxb6+yLB5XCT2ouXyq5l88IDL7OjKdWmFCyee+KKVCpS6UppN88O+PH3dPjox31asZt6ZIwkFMqVEwiQmf52dmH+HotlFJvdACN3YInZLcKJ7ZH3LrDWZGaC+3UyuxnKFZTDAi13PmqBwsqUV871UDVLf0XS6ipSnBQriCFPQllwtTPZeOUo4qrtPV5/U0Qc1VntBLx2vMb8sqQzsCwsw969HjMzGt3pGSwRl25bpeJX6XQrrHRg05ZV7BN9Th6OQYL0YwJr8Gy+s0C2wFnL+ZVseHkCLx7wmFtSPHukwr37JpmpVrlkKmWqGRMEricybw621rkoFwSVJXArdSFzy2Lozyi4dQncBWvLIZurnMVLlqDKDq0SdBDz2S8HfOwzTULjuUotoVBCZPJkuH/N2htybXA8Unh0EZTnQC7YvGD1NcAupEppFPKIq6KpeIqffH+X1074/O6XPJAxoIiFkypuzowdzkrMU+tFjcrFmby80Y4ta/SSf16kNvNXSmch5r+qaDPMSMnTUA1g11Z4/5tDJsYW+MZzlheOKs4uaV45ELjREKlkblkN34+w7gYziRPr1oBOOXh0wBcfTzh+KqHVsbQHCYaIvVenNOoWHSaKk2cVTzyf8u7bF7j9SjfabGbdAt91R8iv/UGdetXSTwTCGiSGg6c0x866/rXUSj57f5Xzyx6x9XjxSI25hRpeLWCy5ooYBqGlH5hh54eWQ0CUlvayr5wz94WyxJa+X8vgGbhlDuh8356MufNBktkoMpUHlpnvvbwCn3uwxkroOe0tXN2JCy6zmd/Ze8sHEa3N4pU/T8lQuRDYJXCPtPrlR57eHvHDcxZXGGNI09QFnIlmzE+5+809vvBYjaVONsfbOKmiEOhS+j7v+BnWqtvRdyjWvuPsk0nnvJStRYGTHcMYwrkoeZFXWXp62o2irlXcTnaerFHTk3z/m9v8RL3P3FKPV45CYi3zK4rP3F9xE42l4NgZxZHTGqEMwrd0+4KvP17h1/5zjWde0UxMuvjp1qu7vOXamM0bXTZeJ7HGpj6rS5M8/tIKs5OnmWrCmVZClAjGxwwf/2IV369Clll8ar/PvoNBlk7UdLoe1mSzuSuasWnJuAdTgaFZcUuYyUx+o51lpMpssVaiZGWZ5aE+fxa49Vr9XWQy0xH21qUy2IK1M5B7tZgvP1ThqZdqGOmSOkiNFIIgq/sesQYvYg9ekLIeFboXYfESExbsbQvtmbso5bkgKptK5b5WmFSRSA9tEm65MuJdN/f4gy/7oGIQCiMkA6HQxskUmfHxSPInY/JisVlb130RkOdsX/4dOb8746X0f0ZiKXf9jIVu30PJGlGiqHYr1Kshd14bobwIYRLe87pWMQtx32uap/ZrRFb5GASW1ZbE9wxX71nCig4TYxFvuLLKTG0chY8nJXqsbgg2Gv72OyNOr6Z85A+nWO1VkHFCEHS4YuuALz8RcPK0h1UZM2jtDulYjqpCK0WgJHVlaXiGpgf1wOJ7pZG6a9jrgh5MOSpRhttzu2dVcksuBHcmR+RQiuSsrkZ+Zgpg50AP/JgjJyUf/3KduU42w016CCnxJEXmMh8TV/bnR4E9jCculrq+AONlm3CtTKFcHy4x0o5YsqqoNlTIbF7fukbKD39Xl8derHBkXoFwIE+FpI8ozWwpBZtmmFijiKryN3cxkOP0tslfn8cbtjxY1v287JZlK15uQyapIIwUPeUjhCsJiVNNb+C7YF/H+H6ClglSJbzhmoQ33tgDabFacPy05t5v+fzyT6+itY+NfVr9lC880uDeJzze+UbJ5o0CHSYQ2YRz3TYPv6w5dHwCaT0Cr8f/9I5lfvhvtbjjoSo/8dEpEjQoH6SfuQseWkoqUlDVlqrK9r/Rw82d/KyzfSSNW9hn4gItOwTz2oCSEXAXdmAO4mKDJnMBqHN54gLNpEjqKOmkSZgafvOPGzyyrwY6Y2+hEUI637uUPS3PSSwP+JEMAV8G83BTj2+L7azXJmfvcpvfmrT9mmAztw1lmgWcseYN10X8xIda/NJ/9AgTSW5fxMKjb0RpjuGQzRFkGc5hs3LBRuUxe3ZUmuRfI3CFXdlCUDTGlB33kYSWy3iHsUIpNzgoH82WeBpPxyRaE8VJMa5DZdWdnoow0vDP/0OTP32oxg9+d8hPvqeKXxljdmLA7VcNWG0vo72QwE/Qrb7k+CnNlx6o46mAm3YqxuuKq3crPnCnx4Tvc+X2BKkFGA9kBZSPVNoBWzlgV1S2941ye9+4HcmGzb4uOBSlkWajx4WMXV7WTCnBM3rkWrvM2LoMcDnanTOclpqiVIwfxNz7jOYLj9QIIw+qOpMnEi3Ayybblouq1jYzrHVQLlYLfhF9UjwPkymloZyFPCnPMBkCPTUSlSqMNJkmdyxeq6Xc/fo+9z3c5/5nNKgIhMQiCXEBs8plCrmzMdowfDEuuuBnRUa01HRshudECuHsRgkjteXWFkV7cWIJI1Xodbc6pUUNvNYKz6Skys0wt1YihcWYiJeO+Sz1m/zB/bMQeVy1s8ZEI2XjeJ8ffEsPr5GigxS91HIdyttnKmyaCRhrSKbGYNdWTRQ3GAz6xEkIQoMMQAVopalrS00ZKtJt6OTrbO+bbNZI4IGfTXXVpXEO5d251AiwSwVUpQylLuluF3TazFnJB0JmQaUsgVyWffAc4GWg54FlwmrX8uXHqhw8V3FvXoyyd8Hgkqyxd8jiawPJoSwpVRN+G3AXcqTM5OWy2ZJlmFqBMsJ12BQb7LrJsNJIpHGD84VwTRF71ke8644uTx0IaIUykypOuw+EdM3JeSeOsIU8Ga44tnjr6RrLT2BJC/4uyZw8wWUtoujDzacElAquUkgUJIkgkjLT/MrlU8p+vxZ4RpKmKZ6X5VwQ2ZDRFE+B9AN8VePVo4ZwkDLZ1Iw3xpga87n8cs14A/StVxg6LcOuSeM0jxLUKgnT4wN87eqhP3FvnSSpgB+glaKpoa4t1bxLXTr29jKQe9n2IJ6XjSwuRjlQ9FC6LfDWjCIobdyUe94yA7a6iOcti73pS86JLLN3mh15gmcoUTydYGzKx79c5WOfb2KFLnxvpMQTEOSj0YpgN3+/JZuw3MFTYnUuqCb8No8LNHhJquRboZu1iZ9Mosg1UsWkJIlGqZSffG+Pw2c9PvYFTZxmUgVJKjwGOYuX9HguTwT5ex/V4yMeubCFJKFg7WGvpjUWI/KWN9dKplLXnZ9m5dSxAJkBPF/hyqXDNos1PC2zFU5kuSRDrRLzA2/r8/LhhDCxLLRA2Ji5SoJSbhVYCBXrZj30kbmUldWI/cdWuHKb4LbLXVf6WL3PRLPFt/ZbvvLkGFbV8Dy3Q3BDG6rK7TPp9sMBnX093AdHFN8PWVwOmVyNNi2sjbKH7FwKLssOSlYkpUvfF8DWJS1eSJM087xTV2/ixxw+J/jiw3W6XQ9quTRxW6Xk49h0wdprB86vSc1fIFX+yx7lmHutVVgwoCwN6BRrxy27gDNPAEmpieOURj3lvXf2+NqjVQ6fy+9Et29pLDR98j0uHXhlAeKhlThkdUjLtp8ZMjtYV7OVAT4tta+ZrKnFCJutNlnqPc3yBkl+/vJxFmUJJvCzz1UE3dl58nTKO28e8JmHlnj0lYATVOhEjghv29tmx7oeOzZ3mJqsoo+erXDmXI3Hnxmn6Ye84+ZVmvUIKXs8sT/hH/36LMfmJ9GVgKaCprZUtQN3kANYDTd5Gu6gMBx+WUydyo5i7Fo+b0PmQ+xLOjvPXhY3wDCYHHmNGupwWQxsd1lKB+r8Oc20t0vJh7HhvqdqPPhcvgVLfii3TUrZOSlvX13yvi+myXNEjOjzbwP3teWy+UXOWXy0na3sqgxHvckM5NI4LauMITWaeJBy17URb76lz6mveoRGlaSKJEKi83p7U0r2ZADOvynLkLUeeVHjYrLNocorV1bTbYS7AWRmUyalVcMZDxKKiVvlbnqBNaaYNlAcAH3LxmnLv/l7K/zDX5c8uX+aI4M6YzXFllmfN11j2LQ9oNEMUD/7j/+J3jm7euUbrjh+2a1XhjTrHY6c6/Gp+30++qlZDpyexq9WGPNgzLfUvHyX4GxgfL4tnzfc/8bP9sUpbxdSjC7Od1oYmVsy3Dks/9mwt3LomgyrBM2oPTiit7NnnWYlslm9dxaNezpGBxGPPOfzT39tkuVeADpw7pDykVK6fTWzjazyXc28khYvNHk+qllSrEz5GLlchpXHWpQnAZRLgIfSRxSBtigF3KK8apTmc49O0xrO6pZyyHRXXxbxzAHNyZOe654XApBYIckHLY+23I0Wi5WD5iGw12z0OvL67EYvFc7ld3rxuwoXbZQUhuGrKFmlmYTLBVQ+6sIoNkzBbVf2qNd6tHsJnY7i1BnNwZN1Nmy84svbt17xJ+o9bzXdND5xpBeFP3HkfId7n5P8xhcn+PSD61jujdGoeYz7MOYZark7kgE78IaSpNi5LAO6l32vtcy2DnEgd1Ney+PUbGnyVN4ovDb9fmFCZwTMIzUmQ4B7xVwTp729DOCnVwT/6uPjPPZ8zX2Iwvp0OzXUZLY6ydKePyVwDwEuhvpcjQJ8FNBrjzXSrOyrr3GShoDO9b4tAX908OXIvEDhoDI9FRNow1Mv+qz2VSlgcM6KFXl5r7gA1OUAeiS+KNi97KFTgLiIrYvnDNyFvr/YyjYE98iM+eyvDAHvNhk2xo3SmJlQ3HlNwg27+kyPRdSqhrGGz9FT5374G0/sO6jnFieoeJKT8xH3fKvK4TmNQDLRzLa7libbc9LJkHxT1fLGTjlo84AyPwrtrWS2sdEocytVHvVwkcKpsh2YVwBeYBWaYXInlyX5z0rSRGUp+TRI+fg9Tb74UA1byWq9hdPfSohsmGa28dUFTQ2jVqEcklPJOpNDYhtFxAXKfJjUWStHslS9HNqDNpsX6CZPSVLrGhqslNnIBVcrbkQecDqpkvZS7n7jgFePdviV39FE+ZKQqe5IqIzFbcHmwyE+o353HlS6nzg3Zfi5nQkucj0OFLNYUkuazSwnHQX2sFyYrN7GZoOknAzz1lRS5luSx4kkijX9QYCnU3ZtTNj13YZDpwWPvlRjqVVzrYlpIkmk6xgJpGRjXVALDDKzqSRZr6Mc6my3Td9w1zKVfa8uAHg2J3ANc5ebg4sO+BKopRzKkrVAvyChk7spcjSwHDoorokhTxbc/0zA7321ziD1nLbKN5UVYpi1LNuB5eGaxcCbUffkwmO4ackorNckTso/Hvk6u+jYkn881OBFWa2QWSDnnlMpEcYdMpUIoUiEJvAMf+edXZ54wef+59w+pK4qynVbhUgH7iKFn/vk5V7OrGlihG/LBDyauhdYRCpdMFr8m+yuLTN2qQS3vPOE2zvUjlqH5V2hE7fNoXAphKxKMSVJ3DUrxoDsOxrhKcFCK2UQGTaMCeoVF+mGiWONXCfqEmt7aghsN2g+Y3IpsrncDtyeykGe7Ssj1+juMnBLwaVak6ksrELlahPc603B1lqWNi1VKVKV2DtrZOhF8Mv/qcnRMwHWyzt1PBAKJQWByLfoY5S9L/KcL+N5JSFiCOiyNr0ADWI0qLww01d2UfKaaDtinzlXpZS+F5LUGAduobJZ3sY9G0sSGXZujPjff7TFE/80oDMYsjhCYKxHmHntsjR+eW3gmZSymGn+7ktBpcCSFsyf/1AWn9/9vuHM8vLE2fJE2Xyu5eg8lMw5Uu6zKmWypI8kjByr16sJtcoqe3fM0wt9V3V6xaUTVCuK1451WVposWuTR+DDUitlsZW66VSZ7hxKkuEGTw7E5ZHF+deyBPhRSTKcOlXW2KNTqUYTNmszlNl2diUml2uYW6vcFnT76sTG8OufbfDcgYrzvMXQFpSZ7+2VEkvl8oELU/MXd1BGalDWUpzggh8Oi6yG39u1UsUydE+KQqySVSjLKfzMtUglUigH+lQhhUYZw3WXxfz0+9v8209JojQHuHtO0PSLVSebjGWGTRKjH6TEymKY+Bl+ivI8xAzQWQVAPi7O3enDGeUjo+ty5tZZs7ECne0Gl2qDZ3J3ztmPi6s+CyuKSuCzc1NCQp2BbaBsiv7ud3yAer3Oyy+9TN1+nZ1bFDMTA1480uWhZ6tIMdxI1buIzlYZyAufe+1sbukCyDJzrx3MU9bguvC0c8sv3+XLFFnMopdSljp0SvrbyZKk0N1eNeHBJ31+9zNNWn0/kyZeYQsq4bYE90RW8503NUg74nsXrWmSC4KwtcVV5Z+PzIkos3w5k/ntSmbz5l4jsi3ORclfdsu4FLYkVwxGDq1D50FrksRVdv7Y93R59mWf+76loC7dvLYsYEisIrQU06rKgC0XYhWgL9uHaxJBwxtBjGiwESlmzYj00tnnTqUomo09BUZnckXltToGY6HqG7SOefVkyIuHKsyOaY6fqfBd3/VWbtp9Jf1eDz09rvEDjx2bgRtaVCqWEwsDnjxcpT0QTNcdsIPcHdHSuQh67cD5vJEh972HBVLDoNIWrsTQwx4ydgHuXH6UXjcEvCkA75Ypg5TDiVRqjTRRXsKB44r/8Okmh5d8d8YyWYJU2Rg2t0V4mb1HWdyuYW1xAVu7i77m5wXLlb5fk54fZXTXIVOM2KBUcFXObsohm9sSi6dGIuVQl6cm24U6S+PLyLBzMuanPtDh+Jzm0FmB1f9ve+8dLtlVnXn/9t4nVLyxc05qdauVc0YCBBiZZMMwtj+Hz8bGxmacHkccsMc4zThgYwZ7zCCbsRmMjAGJLJKEEspCObS6JXUON98K5+y9vz/23uecqtvCZIHnO89zuurWvd1dt+o9q9611rveFX4B593ewyWdquDgvipjPKiDWtAIn2gORu7yyyrIK59QeCGWKhWT1sqykeUZg1uK5b52QBdoFazd3L8XK8tEK+ecndM8ebjG44eaPPiM5dTzYMOWmIWeIuprQyIsR2Y1N9zXY99UxF0PjxDZlDVjUE+glpRlwDiqLHgaBrXEe3RzAsoxWNuOZIWaDEXuAO6owrOrJcEyYlceH4jejp4kaZ/Dc5a3vXuUD3++iY1DKz4akMMW3FuUehP1HIaaA9PzQ2B3774s3+YT93eGUT04n8mJKEqVuogimpcRXWJ8xSLcN0J5AycX4bU25CIiloZXvaDLbHeGX/tLxeFZCalwkVw4wHWNLKJ0KPsNROPnoCsnlthWjIQUA7eFD7k1FZ2Nx1Ol6xl5cEcqWAS66SYBzC2mbF/b5Ld/eJ7bHsl4eG/E5LhGSkgTiHJdI0mbh45NNT79xNNbrjp4ZJZN41CPLWksCnAnUViDPQjq0HIva8Blh3JANFVUTexS/5LhJLMKbrUU3NGQeKpUB+blMEOUkWH46K11PntnHSuDhr20gZB+FC0WpZH9kqHnE3FvhoBfidLDDY+hdsaJ8D0Igq9AU1z0Horkvn2vhTPcd1HbuuW9xpcNhUII4wCfG9LI8OJze1x90SL/9MmIfu4TEO1q0EaJIukshyOo8OqvHuTB65DqvGn1wlYuohs1KLZSUiC1YwK5Lrfo5YU9oPXRPWWxE5EmbU5anrFt5QiT49Gn06h2iKSD+qu3v50XvuDCmdEmMyvH9A9E+hijzYh6KqgngjSR1BJJmijSWLn97rEsmzhRaOj4EmJUad8PNHLChoUTOU1VB4QD6CtNHOn1JbLytW/ghISycKaSmjjKMDLj+i+m/Nf/Ocaeg6njWGFKXrnonUqcYEz6un6xDrw6tc/ghVtxtB1s2lR8y0VpEiqlHHq8/Dtl86a8X346iIHHiwvoBPdBVB6vrNUW1cdKuoSxTLQ1O7b1efaI4omnI7c2VuCTToEbTiwrQ7La2FmikhQDUC+UlAPfrlweBSUfvqjLaaaqI5au0BddeKe7SN7PJPOdiCPTCY/skXTYihZjv7Rn71NfuvCii92OHhl10GhWLV/gzB2apw/VmZ7N3cYtWV2kWvLragcu6EpEtQLhgTKg466WAJeUBst5VkvtnAAASP9JREFUynKIoaycyALcQfI6qPUO85WRckKqPcck7/lwm8d216AZFbTE8W+n9S4SyzAtX9CUE3BveYIKChUwMvgYCE648WA4gtvB+6GSYrDFELsxJSWy3rjUiDJ6O2GTF2IJgRYSWehALEKoAvhGu8f6PcvJm/r82KvmuPOBmL1HBaSDwMyIfAmwWhU5MV0J1EoVv0vwNyx9X4KvYTAQMv5CNx4jWgo/7CKcI7FgIDAoKVA59H0TsZe5wGIsTM9ZHt3TZaecZWLZLJ1uHwhLqOono2WT1C4y2n4YvT9GiJh6IgrtSDVpLCIQdrD5IYZBXpnM8Q2caEnXsiKgGioDDnDuCrirAqqo0qVU0lGTqQX4q/e1ufG+OtRDUhk6lr7mLUtqUrTbK9y7OsEzbHswkGhW6Em1qzOcZIZIVq2aDAB7SC5bANmKAhjVZVHC2grAfVIpLFK4ffLaSGf0MwxyaRHaIEREtmi4/Iweb/7BOf7gPZLpDoTauBuslGTG2bRJGyomJchtFeTWdVnL2BzO0lRUhUkfX/JU1hkTWV8dcaIvb7EdAoesTH3JsE1P0g8l60hQi0GqnAVj2blzNVdftZ2Z2U4J8LS5holNq27Y+8WP/smtD8W/tueZPlvWJDRq0q27VpVEsSiTlVLKgcmcEPmCAjCAuwrsoUn48rETzFHKShKplqoDSx6eo1RGTxr+9kMt3v2vbeZNXLjCVjuWiWBJUycSg4ll4Vw19LuVUbsCesLt0kg+0CwZJN5LVIQUUa+SWHptdQC5tq4+LYVzkHJT7MLbGrsWvmv44O/7yB0uAq0QGN+VtDQTy09+/zyHpyV//U+jdIwcuFotMf1iuC2sjRQFxEMktyKszT5RPlGCXNpqNBeFiWd4vaurCauDFyGoBDrotlc7uiyF5JRNXZYv1zx76Nif1Ntn3VBv7wa8keh73vVnbF7ez6ZmOtuOTanvHa1HrFqmSBNBPbXUU6inljRxZxLZgmuHakm5F8fx7VACHBRMhb05FQ8TWTHpqY6fDYC7OmtZGT8LZpke3DLRPLA75g+vGeWZI7VieLicIVUkCurSer23kx9Ul6kO8+7yLLlzya+DchC/4jBwbfxonjurHLy0hB6iO9X6engzBzh3VSdS4dZDAWaYf+P/jxIoofvoebm11GPN8jHNLQ8kHD6qym56hXUb37yvWkxW53wGeZdY+liVylRCfIj01fWC2rfrgxFnnkMWzDlz52sYjPJz7WxJjJGMjzWQyv7TnXd9/tbzz/2+MoIDvOTFr0fFdQ7t/QIPPHgbnd4ojSShkRqSxJJEplC1WSsqxH/QVaPY01jQkuAnWJnEkUNcO7Tjw+MnmsxZQksqp8qIk5wHnop40x+P88CTNWyiikZO0dCRLKmaqMoiqXJqp1I5GaJgBbgFJwDXMCf594+v1OgxRcQLq7Y90H3yJUQZAY3BVVKERA+AXfqPfE9VvG7cCOUfj6BvOHVLzjt/bYqf/CPBA08K90L5SRq3UjMaiuSi8twr86TWV30C3apEc2NBeWpihV9wZZ0eXUoKuiWqr0uxwqT8tFPSUZMkttRTyUizyyPPLFKbuIzXfe8lzC92gd8bBPjo+Bj1WoMHH4r57N0Zy0Ys5+6wjLZy6jW3w0YI92RLRZcbHi2z4gAGW37MV2lKRQE4DHRZbcFXIresDAoX4FYa6SO3lBlxnLMAvOsjTe57pIYOlhayMqUjB6lJdAJADyeSJ6poiBM9XhFVlfSkuiPzBMCutuiHNCjV5VSOgriBXimCGMmWQPfgDs0Y4z8lQqdTCDw3L6mKFtJzcoMRCiFiZG458+Q+P/3KeX797RHzmY8EpSwSCwXIkRar/XMVnmsXDaoq0P1KwgDscOFKiwq0RbjmkaxUe8JrkRtc1DbB19L9fKyciVAaC7atV5xaz5hYo2iNTKCSxeJ1LgCudQwkT2b5xO6zTlq3Zc1kl7Uruoy3e9RrGZFypnZGSzq9mMVuTLenigy+ADiDwC6NM00F6BWACzMYvSsVk3ICvtSZSOWncnximSQZHWN5z0daXPvZFj0Vat0hcseEAeKatMXy1jBELKsRfODiHIzW1eg9ILoqMCCoap2XEu/BqF0FeinAGuavw5sfSqCHIV4hBDpcUFVObnxt3J8aCaGEiPJR3nrK4iJ5rC2vvWKRR/Yq3vORERYyHMhlmR1bU4LcBp4sy0pJ4W8uypJfGbG96ZPf1Ga9AZCS/mIVgx9+xkA/t3QzWOwJ5vuS3MtYYgnNxNLJLL37FDs2b2DXqeO7W430SSXypQDfunktn/v89Z9eu7r2zytb8rfG0mcZaQjSpE8c5UipsQjyPKbRqyNlmzyvuf+QMqceTjAHgT2YVMqi7V5G7uLxYY2J8s2cwn4tJ44yFvqW93y8yR++e4QjM0lFAls6wyrhmnWhJBhVRFVVp9hCe/Ic57Aktro/SBT8WBRBL9SMT7ijh8EIXu1oDkduIUJ73IFb+8eWALtKU7AVuhLoiSxLh8aiUS7mBqDnlpUTfd7yE3OA5JqPtpjPh565LEFupaepeDdYn2haa4sdm8XqP0kRsY0so3mRdBYlwbIAGTqZc13BkQWYzzP62gDOb76u4MiCYM+RHmPLW2jUP99082c/fcWVr1kKcIBH9huUUh+f2p+/Yv+R+IxuX7soWHj9Q5YJztyqOWuLKT4egxBHLqEiJaClrJYEjY/y/nsi0BHjL5CSd0s5SFGCvlupHFXTfOTjdf7o3SMcmq6AW5RCKinwWpNBd6rBtvwJqiUDVaGhaD6cEIZmSEgswws6kGs9R9IVInj4WDZFQWUgiodyofF8JtTGA7CNcEY+VgR/bi+hLaiKq8boClVx8laF0Kb4ut+3rBrNeMtPzHJ8TvLPH5dQG3ruwhac3AjQCGpVUEsXtaPQdZWOtoSILo1wwinKmriSnuaEwEHZTIsiy1UXznDmtjmyzFSeiJvuyfoJa1f37zvv1N7H5+a7A091AOA/84Ov5FU/+vu3CNG6a/ezK8+YmuuRGUlfO+FPBEgMTz5tsFnKqrEIISqDCgE81fr2gDKwVAQqYXwEr0Zyx/Or1KSM5EMKwVrOk/si/vfHWxw8mvh6d1UGGzneLSlWbkeVYQa1BLxlPbx0sBIniNjVqD3kKBswHUqG4rlgTWEaNcC/xVItignCJv+RHwaCjRBFVBcC36I3CA/4QE1KqhKSTekn5H2ZV1i0iIqyIcJC37JqMuOHvmee2+6P2b1f+CZQwJX1kz2KXHjXWymoWVeZ0ta11bX12zCs49sq3A+TSp6mhGejcH0UEH7IBpJYsnWd5dWXKHZtrvnei3t9Mq3o9xWdfoOc5K5777r7lnOufNtzAxzgRRduQErJ3fd2mJnOmevAXNeR/0RBPVWMtVOOHItJFbTqhlS4Ut+AnFWWOu6ST/vpmyFwK2n80Kwpo7nUPuoHalIBd5Kz+0DE7/yPUT5/d91NCMvherfrVlbNe6qJpToBRRnozi4pC4a2+dL9neXjVZSXZbRhfXjVejuUyHzFzjdx3Gn8FVACWVS+N+gkJTzodbUuX3DvsqqiA5UiRHRVgDz8nMaSdyxXnNXn939mht/+H4KnDgLxIFVxT1ZhhKIfKIr16kxriXzTRlknnop8YhlZt8Qq8r9jWV/3gSUkkpGgUZcsH404dHQ5WT+jnuYksQuE84sxU7OKWqPN6ORWrDXDcF4K8O992ZUoFfVb8QxPPzPDp+8SjNQtjVSQJoJGKhltSZLY7cAM1tAirPWoKPwitbSOLX2EFpWILWWQvQaKoisacI0Upa9JHOfsPar43b8d4dobGvSDiEpUT4kUkBYjaKU7rCySy0HuXUT1SiI5QFGq1RM5SGOeq21fFCC+QhQPeVqVllRBXpYIS3WfEJRG9qKM4saAUzMagt+IEMaXEYWvnlg0EiGdxgMf1UPyGcS6uXbD5a97UQdtBb/9N6M8fdRWEOOfoDSAwZqITEhyAbmFWAif80Bk3euvPdCNtEWLParIaqVwiWaow0sv0utlggPHFJ2epFmPqafGAT1Z5K5HY7aftI3Lrrqqr7Ve8hovAfj4+AQjo61f3XnK8p2fuP2hF+QZTIzFtBuSJJakqaJRk9RT17QJtCTyMtdie3DkVmSHwYSiMiKsq4SIkpoI4SO4KAGvhKcolQgeRTlPH1X8+jtG+eBnm/RV7N2oysjtbNdcFEmErSSWtuTf1an2Ia13mOCpzmGGqF1WVIbWjMtK9WSgfAh8hQRTVLn3c3QwhfFsQOLoR4jckoou2wNc+Ba+HyAQRZXFp7siyGrdqj7hE08XxR1ohVDl1ZW57dCvv2qRSMFv/PUYTx8Nnzv+Z6hcjUJhhSRDkAtBT7jEMgySJMaLFi1EBrR0KkJL2faXwm849t3ZXFu6PcPsgitJL3QlaWIZaUjWr1zg0nM7LCarv7Bs+Zpf7ffmvwqAj7V513s/NWftxGMxE5ees21BNRsxsff5iCLhzDUTSxJXLR5MuWzV734Pe9/LBNEUoA7ROoDatWg92KVFBoALD/Ao5+C04i3vHOGDn2nSVxGoajmwBHfso3cYQRvWmxRjaBWVYFUVOKjuq4C4CnY5BPYiwRQlPamAfgnAA1WhEr2rUdxlkE7c54FtPdiLKB7q357C6ErCq6lGclFpBsnQk3Qg95++xutVnIbc61YwaG2JyHjtizrkRvBrfzXKwSn/SwReJY3/SCkW8WCtRAu3ICHDvU6xhMRYUunv20E5rUAUVbhIufp3llm6SiOk62gudt17dGxacvj4GDu3xvrSc5PHjj57/dzy9a/49wEOkOWCWMy96ZWXp+f1FmfPBMnMfEQ/c08kjnAt+9iQRIY43EaGJNLEsfP+i6PKpI3UFW5tPJjt0GkqQLcFuKXS6Bj+/rom136qSV+FhLIKbvfiKunBXVCTCu8Ww1RkUOutpFjKx6vfX0JVqjxcFBdFtbpSIuHEIA8YsXiKISn8/owsg6PxftyIEMVPoHsJIPfAd7qVUDYEqFRVLAgTgF12O4Ufgwsg18ZF6UjkvO6qRR57SvEn7xkhB7+Cze/bFhLnCRFeAN8Q8iZDWii0EfSFoCvdQq+acoun0mIXj9eeF17wApVbZN9xa1dBEWS5YXrBbQw52p388qaTFt+0dmXjhK/xCQH+5v/3Kq794D9pazdZ293DSWs0u/ctY27R/S6RgjQxzgAo0aSxdiCPc5IA7jh3t2EPjq+IOE5dApxietvXYsFTFhfNlTIQwadvqfP+TzfoSW/CH8Bd6VZKEVrxQ7VusTRyh6pJdd/9QFVFDkZtVxqs6LwDiKUYiOoDSsOhM1CTcIR6L5XbgJWinBa+EyJ5ZRA4RG73mpWAd1bf3isQX12h7HCWDaAAZn9BeIoiCB6DEoGrlGltSUTO66/qcOcjMZ+6te4aPTIU8T2obeBmMjwxz69kmZBaRWYkPSOpK4GuiMzCesNSeOW1NBi0En4zhOaxQ5odmy2XnLvWPnMw17vOWhq9nxPgAOed90KyrPP++25/cPtT+w83m3XNYteVhOLIksaGWqqpJZo00aRJThrnpIlrwCSxu3Xby9x6vkhpVKx9iCnfWut3ChkdPt7dOyc9hq//Yp1f/etRHn4qdT6CRfSugt3thUyEoyaxsIPy1yr3HioHFtF4IHIHi+eSihQgL36+tIJ+rurKUm+UEuilgcLgfR2KAZLKJoXyogjRuvoZUTW9dN8XRWdQ+zvChokfyk4mZfkwRGzhNStG2KJS4nxOLKduyfjzX5jhVxR87IsNX/IICYV/NtpdjFRzPg/woM6zUURfxeRGkVnpVgiW1csi8FXVqZFyNGu+K9i8WrBp/XrOv+B7SJLkuWD83ADfuH61/dznPvxXrbEz3nT/059rTi1kNKOIkZYkUpo0MdQSTS1xoK4lOWmckSYZcdwnjjJqSZ9aow/a+XA/+oziC/emSK+Kd5PRlu+5qMfKCc3oiIYcbKBzkeAjN9b4zb8Z4eE9iav3yTIaOEtgR01CSTAOCeVABA/JcIjMg6sAT7i1eGhiJ0RuNQRuMVB1EUsS0BPVwosE0wZOXf7MVwJ5iNQOCe4xHbj+AD3BR2EfEYWo6FRCcyhUVQJVoaCKoZKiPZ8O0/nCWETfsnNjzp/83CxSwPU31l2ZRLr/UGQwMmpYOaF5+cVd0th4ju3GG2+8J+WRZxKm5lNsnmDqCR2bkBtVbDkuMB5yMymIYze2Nj6q2Lh2gcMzcMHpO2ZE1H4HUWp5juM5AQ4wuvxUFhZnmOvdyTP7u4w2LaMtx78baU49dXXJNMn82SeJM9K4R6PRZb6Tccvdkof21PjMrXX2Ho15eK8bFwNn0ZUozbU39Fm+LOMHXtrhRef0mBwzWCP4yE0pv/k3Izz4ZAXcVHi3j+TCR+5U2KVrtuVQ86bQx1S/J5aCWgwCW4ah6iB/FSVdCVE93OJlpcVk1wAfL0FefuGAbPwnvZQeL1WQ+0STyqqRgqqYYXpSLR96rQqhbW98rbxaVXFzkEIKX1WxCFsaCZmgQsTnSZnl1M0Zf/izs1hr+ehNdbAwPmZ40dk9fuBlHVYuyzlriyaSpa+gkpaHn5bsPar49K01Ht5T40uPNpldqNOv19AmJrcSXdhJuNauwMmabUOweplkpKlot1POOXXtTKL3vG+stfNrj+AAebS6F0fTP33ajtUf+PLje5prJgSjLc1Yu0e7EUCdU4v7DtxJj1qtR6PW5TN3Sf7+oyPc/UCD44spU/MJVnqhtUuhQGpynXPzAzGSnLvuS3j1Szr83k/Oc8v9Cb/x1y0eeip26JUhasuhU5SrRirDC1GVohSlPzvIw4ejdKAlspJwCrEE6OXfKSN2qf8uE8znqoHbogAOYZK+GnlDWBc+4SyFbAKkLemJsCWFEaHj6aO5/8cDN9f+UyWAO3Dz0OUUMFRV8bVxU7lvvTWcB/lpWzL++M3zGCO45f6Y333DAq+5apH1Yxp8C91ohbHKSayx7Fhn2LnRcPGORY53FrjzgVneff0In7lzFJ3WmbcpuVVk1pUTcyPJjePoaaxZ7CpWjGcgti10hfzpDcuW9b4Shr8iwLdOHjXtTZvuaKUvnt1w2/9unnZSxtZ184y2ur4GbojjnCTuU0t7pGmHQzM5132ixj9cN8I9T7YwqgZRjGgqlHD7MSGIcDSYDFQXo+GZo4ZrP1qjkVoefDTiocdiqIsyM0eWtMRNGbiOlz9VBcgDY2iBlgxF88GE8kSgrww1hEg98L2Sg4shDn5iYHtwhwheSawIslEhChm29NG4cjMwJla1SRuwUqsAvtCG+00LDuQSYYynLGUUF978Uvp17NJYrwqUSOs9vFHOsMdYZGY5dXvGT79+kcvOjHjdyzusGdFki4o8T+nnCbmOi9Xv4eKR0pDEGetGMza+IOOkDVNcc32P625q8+x0i07cIDcJfSNo5ALZsxzuWKZ7BkNGq9Hm6u990ezIyIY7nt63YPgKx1cEuEpXE6fR0Tx/+rWveOmOz88d+1T8rzcLlo3l/MCVOYlSKNWnXuuSiR7/dmPEn39gGY883aKTNbD1lCiKvB5EuFXY7tOW3Ag6OqajFcYa0BkqglNPyfjBl3T57ETCTV9OmFmUfu6oUlQO0RvHieOK/HWgQVMdQRNDwK4kkoORukwSVSgd+sdVBfBiyfT8IO8eRHalWjLU1Anfx78uYWSr8Oj0UbzyYwyYYhIATKFZ0RUdTNEA8pHc+N85bIoQAczWloaeIrhlWT8e5+wnpDSFEb23gGF6SvKZWxM+e0fKOTtyVp6bA5Jcx/SzGr1+Qq4jjJH+ubo+R7evif0C3p1re7ztDYv8yMsW+fMPdPj4TWPMdpvMJjXmpaIe5/zw5cdZM5bzmbsaRKOXZzrLX7tqcvQoNL8ShL8ywMdGYm5/YA8j4+v3TR9Y3H3tZx87eXa6w+rVgj0Hj3P6lhnq6SKPPpvzT5+q84+fHufQVAvSGlEtph4Fr21nJB+L0pzdGOhqwbG+ZC6PkNbyovM7vP2XZtixNWfVipz7Hoq55mORK2YXZpGyuB+idySq4LZFh7Kq8V6SSFa4thq4T8m3B8Bd1agM2UNUBmOXNHaGwUyYVLHVDdjFIX2lTfqrxBJEWIORPARyF6XLpDNcZEFSK4wt6Ilr50u050OFXqVo64foXYJfIrySUVJuWfBXTwT/9sUa7/tYkyPHFf/lzyRv/yV40VkZxio6vRqdbo1+pvwSKShdyTRxpImzhH6ckCY9ztja5b//zCxnbuvxj58a5ZGnx8jjFlvWwCmr2qyeiDhtc8r5F2/avWrdyn39xUdJmzu+IsAV/87xkz/7S6TzX5pZt1zdt3lV/P821WEuOx1O3rBAL5/jloc0b33PGO//1HJmbZuo1qCRRIwlMBpbWrGlEUMjdrsz6zE0Yu+YFVmMhk6vx+VnHOOvf2GGbesMti9o1w09A7c/kDA779075WDdOwpDDN6sPsxXRrKyV1MOzViqkmMXs6T+vqoAW6nh+6ISxf1978s4UEuXS0uQhbDKhhUdttRKB4lsuBiKaF/wl0FgEz4hBn1KisZSJXKXIK5E+lBnluHnRPE4lUpKecFWNknIIIjTxInh6SOKd76/zR2PuPLt8ZmUOx5OOXljzrplkunZMabm6ix2E3r9mH7m1o7nRmK0QvvtcMZTmDyPaNYEF5/V49QNHQ5PG2bmFPOzNWZmEg4fEzQnzmEhW/Z9t935zP1n7Zrk9/7gr7/+CA5wwa4NZP0ForhxwIov3qS7d1+mxCF2H+nw4Vvq/P1HVjHXrSFaKWkU0Y7cpuN65CJ3WviJB1Mdj1WvbK+nllO3dXjrj2ZsXFGj27EomZPKHpef3efc0/s887latXY0wL1D1SSqUhRZFVOVQwxlM6dSKanQiyJaq2okF64WLodArsq/W1UkFomiKOlIIXH1vNtY0MY4Q/uA6AKEwtEFIUrjzRN5ioPXmHhgmrKiYgrKYkt6IijnNsGLt4S3x65qxr31m9dyO15uiqiufIkTC1/6csKNd6dOyRnFWJHw2P4RfuldLX7/h+cZq7eYXagXEteqwVOsnFYpjjRZHpHlikxHaK1I85hLdvU4+y0z/N1Hcj58c8ZMntDqj7J9+5abXnzFJQfm5jvItMG/d/y7AAeIkyYPPnjjE7Va86866qTL/uFf97P78HIOTNfpE6PqglS5iN2OjbN98/syk7ANQolyM0QsSCJJmkpOaSkuOK3JeNNwfKZLmvRJ4y5SWFYv67FtXY70L3ZBUXzEigaAvdRirTDSrNCHJW5UA+CvcuoT79gJtnVLy49lLlxNMt0Mq8ewDi151xnUvjoQAB4ibzHPaC1Wup00xcU9HM0JvLv8iWIZFAwMIDuxYbnaz9ETvIhLlPSkYsUshcXKIXqCm3x/8pmIQ0diaEUga8ioRq2umJqqcc11bc7fUWe0FTlHhtiQRN6YPg4G9Yok1mS5JtOSXCu/A1SS6RgpJP/5SssVZ83z0N6c+uiZrFxW+6s777rpifPOvfyrge5XB3CAbZtOImmM3rHn2e6HdmxdeHXWf5IRpZgY7/GlvZKsFzOaGJpJuaQqbF1LvDl+2OXj7OAUraZi5QTEqsGxGcNY273LwWeQXGBzW1QeCo2DEEQMc2+K6F1UTpZoTSq18ecqFVb49fCuHVWhLsN0RClKR4FKomkt5P6LPHegzbUhy0wJ8PCreR2GtAJVgBuvc5ZL3hNBpS0/rFMJgBblGJsRBqHLYQnjy4rBEcsIv0lYDG2UGDoLehQijHR7jtIoYjKxrGha8r7imYOG3oSl3ZDUU0GaWtJYkmTGWQBGxq0iiSRpLskTV05U0jC7aHhg9zjLRxKOziywZvlWduw6/UN5vOuORnP6q4XtVw/wtLmaRx8/sHfbtot/vmFvU6mJX3F0SvGSC+bZ9y+aA4fGaKeWZuq3HFf8xIN3YRLLAtz1mqTdENRTjTaWLFf0s4gkjtCR42WFMHhA0OGqAAO17oJu2IrWhCX0YYCaVOvcolIlGY7esgR6Ae4h35TS1KikRcXTtS7hk0LQz12tuZcZ+lmgKCWtcXTK7ZO0/v+xNmA7gHyIroTCku9wGiG8pqQ69ROGGzzwfWPIIJGi4uwqK5UVI9Gy1JK7KB52VlLxPvGlWxlRU1CPjN/kYej1NbML0k/fSOpakCUu+PVzSxIJ+rnbvtfPFJl2C0/qaZ/D0znv/miDl5wV0bMJ+bEV173sVS/4+e7cwafrI6u/+QAHOPmk1Tz05Zufnlx16QMb1/OKUzc9Rs906HaaLKtbRhuWZs3vyCxM8iEOJp2xJI0V9VTSqEOzZkgTN/lTrOwwonghB95FEbqYJf8+Ud1bVsAu/V870XT8gCQ2JIRV2awqI/pw5C6soGXpnuu0ElUXAfe8Ah7TRJBpyeG+Zm5Bk/t9N4LBqk74twI1D1omdwyCvOhWUspoddGZpEgWy6/xFm/Gt+wt2lK08Y0uubgVlXUptrKQ1c2Zuadjy9qOxC8OkEH/Ar3M0ulqN5RvfQVHC/JYkWhLFlni3HqXKku3r8hySaw0jVoHlSzwqTsavPwFW7jokgseuPVLtz998QUXfi2Q/doADhDXN2GiNX/ywouf2HLPA4+9/s//T0piaqyZhJGGJE0Gu3vFQqpYFhE8OGXVPDeLvG3EQGwS4M0ySmritxBHLFUKLtnGcALJ6zDYy/LgYPRWSyhKCfrS57yM2lUHr8LrvGoPrSz11JAkmjseERw5LqgnpRtY9VPBhMhNBUMD5UQP8qHqSFEWFGHa3i+LFSXQw3qQYBhUeqiUNMW17KVvxJVc3Hgebrw3ty1ql4O1zrBEKtMuSvf6BuW3Fzq6Jb0zrJsI62eimOeVUrHQUfT6ktWT8HOvnuF9Xxhhnk3vP+/ss//k+OF9Xytcv3aAn7RtLZ3DH5ipbVzx47/0F2vWNsSxSzesE4y2FY3UiXf6mS1kmEoKH8ElSSKoJfjTUktMOTShyiEIvDY8z6Gb+c6l2/eGEGHFdmUMrcqzh6soA02cQUpSTSjFELjLBLOsgxdALEz7KytZ5KAlXRy5akEaG9I4Z8VEB6J5npkd5dCxFqtHtUvEY78Wxrh/z6iKK5SyS94gVzk0XuNdieQFyH3SacqOZiGyCqC2YWWfKaouRooi8QyDylK4FYVWVjdIuNa7sZJaZBCR8VspXGvdtdddYt3PLD1/gUvhPmPCukBnCeGGk4UQ5AayzN0/NiM5PhuxcqLBf3l17Yvvvm3Lj//BOz+x+Ns/+z3feoAD1Fe8jgcevGfx9/7L9/Y/8+nrOHZ8npUTgnbDcGxWcvCoIM8twgMmDsllDLUYaomhlrg33+nHywWu0lu01Wo5X3ok4ot31bAmTO/IUnciqq34qiPs4E75ajI5cH9YUDWcZFa5txzk3NEwuIvSlwN54gGeeLVlo9ZnrLXIsYU5+lmd44uCRiJppX6LWFSu0CvKhqF7O9SxLAaDhd9TLMp2fAn24DgbpnjcZFBp78ZgBLeVsmEw1xdui5vb9WOQxm0XNlajc4VMJJed0+fCHT1ufaiBjQ2Zici1INeWTAuy3NLPfPCqVHMArHFrS7SnglluOXisz9SsS0rHRwRPH1/Na065uv+zr5KLp+362sH9dQMcYNcpG7DWfGlh9vSLnnjo1vq6lcc5PJOx/+kmM/NNRhthP2ZZSUkSvMzWkiaGpApyVZpqRipHSM3uQzGHphKGbSCSIIUVgxrvJZRElAq/gcQy6EYGOpJVOlKtnlSjdumyG0zyI+VKXu7W+qkm9zuliXaKy1qfNO0SqQxh+ixkltnMjWdBmEks/f4GP/aDcjCU/8Kj+GRSlPpu8HSjbNEbXwY02t/3CacpLoySooRpH+0DhfbTQMb4ZVdGooxr0OQmYsVYn82retz6UA46p6cUPSPoa0EvK81XVR/npCCCzMD439JdULESjLc0yAWemdLs2Ztw0pomLzr7jE5rcvOXhJBfPTC/WQAXYpLZud5btp9yhe0vPPSLN9y6t3bXo22EVqydNEQqKndqRmHlt5vjdB/bhjTWRQR3p3OLrSU5h47BR2+sc2Dab2cQEbEU3uPEFvxXDVROKrrvwLFDMlml8gXYy3a7koPlwWqkL+lJlXOHSF6647rmhT89NUlip5OPoxwhNFhNpg2LuaImHf8sdCMV9V9o4JTznZVITlXr7UaAArhLLl4mnMH0J1i9BQOewmNcUtKTAHod/Mat35xsfZKo0FLR78WsGsu4+vIOn7uvy4HZlCyKWfTVklhb4lwUAaHQ4Us3yOI+nGRpmSEEuzYnnLJljlsf7GCSrd1XXnXxX7ZbyW9FSf3rBvjXf2kAI+3UHHrmw2+dzZb/6Z7Dp/XXjY2wa2PKeDuiVpOksSsPKm+pHHuAJ7FxU0Cx9mNuuZ8AyomjPmmtx12PKT53TxNkAipGSUldunnLSJY8vABhhY6I0HgZSDir8tehRs0JvidPQE0GgF5YPlNE7yiqgry8cINZqPeBAKPpauhpF+2yXJBpl5jl2ro9NMaVFENDyGi8o69fkDpw3xaWw+VWtrACJJyOY9vKY9Z4bq1L/UlYuKqNB7lfn621ItfK30ZkeUSuE644K+Ockxeh18PqjI6GjoZe7sqi/cxx8Sz355D1cb+v6fQMx2cFDz5ZZ/+BCV512db+2Wcs+9P3fuJzb42SuvlGMPp1R/BwPPrkeN+I8T9+/VWiPzV19Pe/eH8uR9MGa5e57cL7j8Zo44aBw6ibm+fUJGHMLXaqsiTuU0t6PPQU/N1HRjh0vAH1BCEVqbLUpPf0Lkx7hqNDCfgBH+4A9oo+pPTqrkphy0g+UOeuRG9VrZSowduo4iwQ+x1Ckf9UktKUYm+r6RsH8ET7aoqulDaFReiqv0pZVw8cOjxWrZKU/NqdMlRL/EYFactE1BjHw8P2hsC7BWVdXAtRmOkL41Zz50J5PUpEt5eweiznJ185zxP7Ex7ZH5PJiLlcFV3m0Bco8iTlgpwUjngdOJaRKMHmtZJaOsddu5tGtrf8/osu2vbnzxyc6n+j+PyGIjjAq1/zak4/+XDnwvNXfai97BS7Z59m2WjOjs1TdLIpDh3LyHMHkjQxnoPnpMW4mwN2GvdJkx6Z6vNvX6jz8ZvbkKagEhIpaUhnwZYoW9pByGENyiD/PrHeZHBiR8ilyeWwncTgxji75DaS1ZUr1ucRg+sORTGH6tRVubH0DWQmbA5zEuJcuwqE9lE2bBPTfi23qdyGSD78tfFWw9osjeJhmVPYKhyiePl4ZS98Eb0FOi+jeJ5H5Domy2MWOykvvSjnNVfM07QdbL9LJ7fM5YLFTNDNnHGPu/UVNu38vVcts6TNDg8/2+PotGXjKstLX7jL1ibWfei2R493XvLSV3yj8PzGIziASDcxsbr9+Oj4sjf96Gua/6PNF+Vtj3W44bYWa8Zg1aQrCdZTQ6OWU6+5cbeaH3NLE5eEqbjLx25PeNf14+ioAVGNWCmakaWuvOzWJ3plDbkSxT1NKaJ32dlfov0OCaYSQ2XBSsJatXkrvq40eAbXHg6Bu1gtHsyNKhMO1mCspW+loybSooxAaSdtzQ0IXa7ycLt2SnP4sr1eqXEPJI6VJNNUorhxndKSvngxlo/iOkwEBZsJX44cWEAlIDggCAxSJKhI81NXd3jkyVmuv1WR5Yp5kRYiNeGTaYF7r2qJ81sZbQhefWlOki7yyN6IKy9/gTnn9G1vmpMrH1fZzDcDmt94BAfYuuU89uyO+2dcctG7Lzt74Zf3L9T5lxtSIpsyMaJoNWCkqRlp9mk1+jTqfeppvwB3Le2SJB0+dbviV94xwbNHvaZcKZrK0gjg9qrEqjRWDUVbWamaFN3KSoJZFUSVzZ8K0EW1i1mhJtL6pVq2clENbWceMhotrKC9BUbhCIXr0WfW2ZzlplxdrY0oonfuV+jpIoL7WvNQRC8it7WlXXGVgw/fGu9iELQmlSg+HL3zXJBpRe7FUFlWcvB+HtPPEzrdGqsnIv7bz87wsgunSfoL5FnGXA6zmWS+L5jvwXxPMNeB+Y5hoaM5NitAt/j+S3IuODvl9ifEL2/ddsG724j+6TvO/KYA/JsSwQE2b93K1PGn9arN3/fkiifunTtj82fbzbjDignFqsmMNcsXGGt3iJTzRYkjTZL0qac90qTDJ28X/NzbJ9l3vA1pnUjFtCJo+eidRJWdOqpqBzFY1xZDp6SyF6cC4sHh4ZKDD1dPhiP5ADUJ2+CGF2epauPKgVtU2vZOAK7d7GHY6Gvd6urcWKSBXDj1YfE7+fsmVEQEQ9HalvzaV0xMJYpbEWrtYcsZyGKLhG/5S78tgvBUXfwbMOXHj81VRGLBvm398kXe8YtTvPkvJZ+4XdCnxQwpxkj6xjLXh3jRsti3WHJqqQQbs23TFn741VfOjSw/58l9Bw/obVs3fbNg+c0DOIBQLQ4e1tddeuHFP7tjY/cvb7rxlolEdti4apacWY7OZ6ydtNSTCIGhnnZJ00U+fjv88t+Ms+9YC5IGUZTQiqAdWWqRJQ2Ru9oiHxJVFdRDDD5WjeADCaas1MErUX/QAKg6JVSuI5cValJuo6isahGDFnVCDvrAhChuDGTSuTtp79UX2tjSm8TrykY17amKrIDbdSFLt1kryjq3kWXrXEsINidhY1uxkrAw2bfFz6BD48mPsy1RFwarZypgt6weX+Qv3nwcKeCjt0r6SGaTmAUtaKU9Nox36eURe44mKNlDJqNsH7v8+MbNF/3C3Fznunb76y8JfssBPjY6AYDOjr53cuKyqNer/cn+vR9f/oUHZrnxy3Wm55bxi6+d5eJdXZIoI006fOxW+OV3TrD38AjUmkRRSrsK7shP7KiSeweePEhBhtykKB+j8v0qLSm7fqIC3qXURFWoiax8XVCUYlViuYJFBgs6GfaTVWfWXKJprSWzwtMUdyop0MZx8ryQ35YNHRk6k5Vqidbla+C6luWKkwDswtBTlqtE3LDDoAGoCUunhBdweYct7a3UokBpIlH8HQoTCwf2DcsX+fOfO46QcN0tEi3bSCk5d4vmF78vY3phgc9/WTE1u4ErLr/yyCWXXPBr0/P9965aseybCu5vOsDDoeJlWDvzntPPvkh+9u4n/uhvPzy3fOuKJi/cqUhQLHaOk47Mc93Ngre8e4y9h0eh1ijAPRJbNxEUwB2Va7YDbRgAsf9/q9M05YTMMOAHxWDVeculSkK8FoUT7vmMZDVyV5ZpyYr/eVgPMriZp0BUbl0lJZFl5aNINIdzBR/Ryyju1Xu2VA86SlLZthDAOrw5gvIsd7l6q2Y/jiSCI5a/yLS0rqKinMKw3EARgG6LKbv1yzv80RunUUpx3e0p42mK6NW5+Z4Rzt3Z5U2vOMxctPrIxq0X/0anq9+zbtX4twKK3xqAO2CN8lNv/Zd3w7h+9WVb/2z92LMTVvWJ05zRVo+7nzC89R+W8cT+UajXiFREy4O7EbvonUS4sqAqu4fV7iRUHFr9HwXYqegzKJPLMuqLSvlwSEMu7CDnLkDNUkCr0J1burGiajBaUJQCUc5XW1vlorgHtjYWLV2kVr6OrSVIbYs6txTlILHW4LalyZKuhMTTj71Vd78XYKysl6i4pVUGpKWDq5cPSHyvQVmfhFrfFArqQulf6zASJ9myssfv/Og0h6dq3PPoCrq55tjcPNfd3ORVLzrz+Eu/J/7VKLrmGpG86VsFw28dwAH+7q3/iY986F/+0Zj1/X2H9LtuuvOp9s6NlsV+h/d9YYSnjqwgbcRkUlJTlnZkaEQO4GnkXGyTsFy2GDYofUeMN20M6+UCdER4kyqj6CGoB1oyOPzAgI9KYc45lFxKeaI6+HAUD5Hb05NgJFottVW2TQ3QFEux3lp5ni0lfvmUA32RXEqQBdUQxQyl8QbzRRQ3lLOdPkKHW8qXx92KsAc1VFykf219yunX1eRKECtbdj2LSR/fkJLOQ2U6r7N2vM9/unyeR/a2QNQ586QuPbFhblFvfvNHP5n8n1e/5vu/lRD81gIcYPfRzGQ2eX8zXZt/z6XiHw4cv6927a1tbrhjgp0rY5aPd7lzryDXCfXI0kjcGWY5o0j4CL4U4No4FVqYjAmGUcKAVVV8h49a4T2oK0CXYkhlaCs0pYzccqi5U12ipU4UvT09CRQlbBgeLBVqsBG5Ff70xvAC8jBup0URsQe4uPYXQKAqBkyI5L5LGaL4QGlQMsCWqnmMo0IuodS5s9HOclc2xHt3h3q/jiyRdm3+3N9i3WtWr/Xo5Tn3PbGMlaMJV551nNwe4wt3t5jqndY7/8xlb9iyIfvXqZnON9SG/44A+C+84Yd44r73662nbf3XT30i04/s2fy/jxx/ujaWJJy1SfHiCwynPDXL+z6zjFosaaaWeuI10gHYUfg6tNDdm5xri8XQz9yKZ7dgFFCiWE9XTL9QUpFgVj/sQVjd61mN2rJQLlaX1pohoFcTzPIURfQeTjIDyA3aSvoWYp9sKk+hcuna68MgLxJFUwqqglrQgd1XUKpcPFRHKDl4eGFCxSiKXHLs9CmKXAsWe64WHrT9kXJbz7RxIrNcCz8w7AYiIuUksu/7fMy9D7V5yTkpZ2yHscYRXnrZxt4ll75ubnRs3S1Zf1Gfce63hnd/WwEOsO2M1/POd1+j3/QXr/jgTe/4lx9Bp9d8MZtqbF2vWDUpUHuhncBY3TLaFM4hWYami/A6FuFPSRRJVFENyDg2q+n03BsVKXzHTAwaXFYSzWFHqsH69+CKk4Ha90Br3m+1kLpyMVQTzLL+PVADdxArwB2qKX0rSIzwW8lw661NGaVFJekMlEWISsIp3c+LKgcP9305sLSgsMVrUoDbi8SK6SoBR6YjpmalX9ZaUYX6ZpBrbIHMLF0p6fUlFoiTGsb0OHjc8uheSJM6i/LcxZ5c9WOnnrzxJlBHNMlXiZ5v7PimdDK/muNNP/FjPPgPH7b/9W9Wf2DH1i1vuOz8dTMT7ZyphUVuvLfFiqZg9YRk2YhipKlo1ARJUg5LuHE3Rb2maDcV46OKzWsk5+7q0pd9DswqFvpOwZZ7LUfVDapaNiwrKEPt+CKaV0FNCWhJ2cipbo2rrEEcWNESuHjRxaxiPDj+aK9NgV7QpoSOpRbFCuvQ4dQGjLZFt9MYv9PGVPQrNmhWKHbc20oUD/4s4XWRfhopiQ2NWsaKiQWIprjt0S57DmRMzeTMLRgWO9DtC3p9ty81yyS9vmCho5iZizgynbD/SJ3j0yNcfpqg1VpkZkGzqNfPNOob3/CGbUc+8LZ3XXtQCKEjIb4G9Hz9x7clgodj1zlv5JMf+0cOHFv2vvHJ8XjXlsk//9dP3zPZkjk7tiSsmFBYC52eZWFR080MAhfFk1hSS93AcrMOI03DqsmMVcvmuWNPn/ueXoFAofxKw9g3JwrPkZCYibKxM2gdUa19DyWXReeyshJRWT+gEbbK+TUtYQ2iMAihK11M6wbRA7ALDq7BaCySvhBERpQ+LlikrtbDK82qoqriynkhossAfBFktMJruUX4wBjcMiHK3y2Jc9rNHq3GLE8esNzzeJN1I4IV44JWQ2FMhHW9YaQ3vRdAty+ZX7R0exaL5Nh0m63rc15xaUyXc46df9boLzXq0fv+9cvwWz/zn7+dkPv2AhzgpS//EQCs3fePoKIDM6v+uCFvXb58dIpVkxkLnQbHZiQPPmnIc0sUiWJ4OY0FjRq0G4bRlqZV77NxZcb52xe5/pY+8/0GrRRS/0a6d7AyuV6AuzpvWamgnKBiUiaSg0llVCyotYWoKgisys1wnqpQeTLhsNVEU4OVaBPRpeTgrnJiiza9e8xvIqtUVxz/tn6usmwGSWMxuqymhOhd1q0DyN3vHUeGepoBXe55vMHeQwmjiaG2WHHOVW4RWWLcZE4UAZlm7yHN1GzGfE8z2RZ09Wpe9KJLjoyuPv/Xrcn/cfuGFd9uqAHPA8DLF3UtC4ud/3XF5S8S2zfGf/QvH/7I8k5vni3rDA89KzlwPCUWUEvdYK5Sbmi5nloaNUOzntOou7UoeW4wOifzeowh6l3pWJaJ5oCGRQ3Vuis6b6WGauGyjOJRZLx6UPs9RLo4w35PIbRv1YdnZAvuDdrX8HJXb7aCzCg6PjKHnZsF0IuL1PNt/zMyDBlrD37tteAmiK/85M4QTalacwRb40h5DXtkyAws9AXNriUptuc5XxshnK67nsJoM+Pg7AJPHYpYv7LPyZsS1m+9/Mhpp132G9ba/1Wrf3Pb71/L8bwBHKDZqGPt9LvXbzk737xd/MX+3beNf/aep3nimZgzt+YcOqY5cDSlXnNlu1piqaeWeqqp+2GJKMp9lBxyYC1oyZDZjxoeaAigpgB3KBHKSjI5sNxWGlTkhqPdHtDcRfEAdDUM8grhBQqQIxy4KxTdSugZ5WgAYSGTcFv6itJhSVfKJDSsKvER2XNwqd3voa3rQhpFkXSGPkIhoIJKQ8qpFbsZdPuONsbeJUBrhZQw0c55dirn4NGIs7YIRutdGrVNfN8rzpuyrQt+5eC0/YeNq54/cMPzDHAAIcbo9sx7X/WSi4/ffsuRrelTa/90on5HHDXm2bM7Zm4uZdWk9fTE0qhp5zHit7lFUY5SFqRCIYpRtUFPkwDs0kG2HCKm0HWXqsDK1zJUTsptzYGihAHp6uROWDfuViDmpRa8egVaHC2BckmPxGWWWCwJXQLIywaM1I6+5MLx6oJ3Sw9sXJlTC5doiyAY0xajfFmxmpz65NXx83DrxtRM7kbKelrRyw3dfhg71DTqCikEE2NdbDzFw3sjbv9ym9dcfV62e1/jV9vLXvBku1X/qIq+bTWM5zyed4AD1FJp7rj7iesm1r4iuXDi4cVHH1fv/Nwtd4mxdk/2uwaIGW3C5EhOq+HmHENpK9ea2Y4iJ6JesU8uI/RzW6+Vtg/VIQYKQJeqQeNoTIjgfv9nFAalo4w4yjxNcVTFUZNKg6eqHSj645pikarxy1S9VtyBPHIURFcMjowHsalEce1SP42L2CWtEUhtXT3dR3LXnPFTQ5VGjTsl/VxRUxHNhsaqnExHGAP9HOYW3FaONM5hhWKhm3PkeML5O1tm+apz7djkqT/3I1eecs3s8QN9FW17vmEFfBvLhP/ecd7Z2zDmmf745PL36mjzKa94wa7fueT0VbRqmrG2Yt3KHtvWH2fN8iP0Mxdl0sSy9xDccGuDfjeimXiBVuiCKkFUALs8o6L9HzxNSuuHsgw4LK4qjdsjz1XdkLQbuXNnFyv79IWmL6CHoGsVmfDoBIK2IMHQEJqGzGjQp0GXmu0i8x7kXci7GJ37IV43nJwXwwiVsqGXKoRyYjH+lrtGmNYu0QyDvtqb8uTGAT3XwhlgZpIsU3S6MbUk4mUX9Vi/qk83c0EiiQTPTvd57KBm37GcqVnDsWnLTHcTPXHu71x63rpTVq4ce++h/U/2Rye/M8AN3yERPBxnn3YKQOfx+z7w2LbTd/3x372nnlx69sRbNozvVRtXH+WT92oOH2pzyoaUzYlG4D5G5/sp9UjSSlwXNE2C4ac7lXJnpCrgDlPwUTkRX7WACMKionIiw/cMUZQPgDtOu8z1NHfcE3HNJxs8ezgijkKlwnDxqRk/89pFt8FYwfoNmp95bYeLdvXdim7cc3r2iOKajze544Em012NAbSosSgip0+pnNpfM2GwIagM3VGOtoX2u5TGRWtp3euhIdMClYPKBF2liKKYNNHkWUIz6RIrzSIuyV81GXHF+TlPH5/ls3e0aDQSTjnlNH3R9vG3vf53X/DHnfx+/fNv3P58Q2jJ8R0F8HCcdMbr+LtrPqDf+OM/8ruL80eiA3tv+OXHHrs5/cTNhjM2pN6s01Ua4tiiYkUzgXbN0qwL6okrKZYGoAKl5JLoHUfWe5i7Ll6hMxHVk0orXg9E7lrSQ6kut9wveNeHRvn0nU1m5hO/7NfZQ1ijufmOhKnjkv/nlR3i1PKWN87zhld2kNpgcpxfGwIrNFed3+eGOxf4mw+NcNuX/VgbdTpC+S3OrkRYiKu84EpYF7GLYWJfBww8XCvItUEpR0dU7oYtgi86uA3HsUpY7NXo9jro3A1ASNy/LW2d11zc49jiBOedeWHvohdc/GerVy773S/ffS2nnf3a5xs2Jzy+IwEO8FM/9jqsnmHvs9FbJlZ/r1yrt1909skfl2du61zUWZiOaolGKUM3j5AyYqwO4y3BWEsR+99KRQHg0oO8rJTEyoE7TULCagp/b8Dz51C5CIMOnqKonCTqI0SPT90p+Y2/meChvS23l6Ueebl3BnkX1Tecf2rGD76mQ71m6S4I/umDdU7fnHP+zh4mi+lnKdq4J11XOd//wh67th3n199h+dRdbiayJ2p0pCAxltg4UVYQlBVeJzgan0vXvXS/ByhtUbkzGcp1qA45kOcKQNLLoNtzbfnxkRo6T0hjw4yxLPQA22X/9PJ8e2/i1t9509Vm08Ztt9Zr4i2Hjs6yctnI8w2X5zy+Yzj4iQ6hRtm0scn4RPs3pH78ip//8ZOv3nLSzmt7aouZ6iimZuAL9zQ4fCxixSisnIjYvC6m1pCOOwpBFEuvX6k6XjmKksZuW3OjltOo5dQSpyuBUm7rPupt2Y5Xmkhl1Os9Ht9n+bV3TPDQvlFot1FpizRpkKYNZNRCyoTzTunzhz8/w+XndYvxs5u+VOc33z7Klx5KyE1Et9dgodNiodNivtNifrrN9tWK//ZzU5y8fg66XYzJ6WrIrNuuMKQGBhwH72bQ6UGnD92+LYVoYS+QsWjvGdjPHZevJYaFbsaT+ywHjsYcPl5n1aTiBWdkNGqalStjrrxkqznn7NOvPWLOvvq2+56+otEc+Q2h2t/R4Ibv4Ag+fJx61n9m/749c2eeXn9zbeTZJ+6+v3nqCnPk1fc8fB8Ls4ZVGyTrV0dsXdfh4dtzZucSJkec420cl7JQvCIvUi56N+oZrXqfVr2PlILDUw26C7GPcq6UF0AeKbf6Lon7HJ3LeffH2jy+fxTRaFGLYtoxNHyCOtWTrFil+YOfnePyXQYW/AyYlFCP+cL9NX7rHTF/9uZFxlstFjopUjq7tzyJMVayZdUCb3j5HH/4jwmHOzG5VPSMpOGHFUK1JFLutpPBgWmJlILRuttlqSQksVvPDYCnMto3f5JYMjnaR8sZbnuohdY12s2ULeskp21YROtNvPTi+od2nXLBA83Wprfn+eLc5s0bn284fNXHdw3AAdas3QRwdOrovt/eufWHNnbn7uPSCydfPTX7BMtGNJtWZQg1w2NPp5y0vMZoW7F83H00T88L+pmL3uCqJ2ns2v2rl80y31vkrkdbZN0RkjimUXPR3FpdtLJdopmTpH2u/1zCNR+dQNca1OKYiQTGEkMztTQSWCsE550ecebmFrNzKe32IsJ6uZ+qIZoNbn98lI/dMseFO0cQQlBPnROt9jsllTT86MsX+PLuWa75WB0TpfT9EEJo/kcS0tjlHZPjguWrF7j3cXh2qsG6cQfuunY6eCUFKpL0M8PcgsaVqSPmFxU7N/W47raIJ/cJ2g3Jtg2rOPWUrazZct6HXnDBzl+Ympnfu3798ucbAl/z8V0F8HCML1tLr3Nkb2v1qb9y2q7ae7duOuPns7ndl7eje7hv9zx1OcqWNRE7Nzkx1mPPxBydrrs2YcspFaV09saTo4v07Sx/+7E2d315jLO3xGxbr5DSkiZ+mFaEQQZNLe1z8Ljhf350lPm8SVRPGI1hNDGM1i0jDctYS7JiIua09WM8c0AyOTZLrabB9DzA6zRrKetbloeemCCVNVZNGsZHMnJdmZ6RmnYr5w1Xd/jk7Qs8O1Mni9yAhEuynVw1jQVjIxHb1ivO2jnHHY9O844PGw7Pt2mlxunkBaSJZKQlEeTMLCzwwDMRK2ctaRKzZkWb8dYMx46Ns27TLtaedNKN9bp6u4133t/Jsr1btqx/vt/2r+v4rgQ4QFpfDvCEtfYJ4IFHHzSrx0bW/+09+x7advrm3eq0bR3Gx49zw72Sm++vk/cUm1dIoihlpOk6hM1azmK/w999uMFHblrG1okYowX9zHX1IDi+ukQzinKE6POBzzV45KkRbFKjrgQtP4nUrFlGGpLxdszysZgkEix0EtqNBK0jsH3ATTC3IhhNDVkmOTwFURT5TqshKXzTE7rdGjs35Lzuyjne/m8ttEnJvCtrmOeQ0u1EklJhdYvvu3QeouP8/fUJC72EZdYSKUGzJlk1odm0ZoFzds3w+ftjvnhvwr2PN1gxMcpPfN/p+nj/zCfqKn/j5pMuPgA8Jr5NstZv1fFdC/Bw+DfgMZ0dfqyf6ZeetG1k7dVXXnLtvfd9bOSfbxDN2Wk4/+Q+9+3psf94wmhLk+sIISyNWsbUQs6XHh4jFTErx6BRl34rXGnNFrxNmrWc62+NeOcHJpg3LZJUUVdu4j9RTk5QTyXNhqJRc7QmrGIRMhiSmGIW0+L2ZS52NXOLkmZd0qhF9LO8cJLqZQmNqMabXtdh76FZPnhLmzyRfpOC8G60zrV1sQOHjiesWdbmwh1HuPYLXRZmEqx1YrVGHVYv63B8scOXn1zGaevgnJM0+2fWLlx82dWzG1Z0XzunN+2zqL3f7cAOx3c9wMOh4hVYa/e+/IWrnrF6Ztdi9yUXbtwk/+fePbtz23tg4uH9h9pz05bFrkZr6Rs7msxYkihmWQtGmop2U9JuGFqNnFrN6UzC/qAo0hyeiZjutWmmCYnywxXW6Vxi5ZpM9VT6HUSurV1Pexh6zHQso42MWHRYzGK6maDbt3R7hm7P0u1LstxvOhOuLJllMYu2RTuyrBjNQGssEcaPt3X7MC+dRmd2wTA9pzg2UyfLU2JpCltmcFs1GjVNZx662eq5ZWt3Ht+6bUt0urE/2Z7YeNv48pGZZo5J4/8Y4Ibv8DLh13p43xNz8HB3atWKDZ9cPjm6/TMf+9jWi674obddcu6lD27duOrepNbqjrRTWvUuU3OCj99S55n9EasnHI9dNmpZOdFlcmyBJM6cxVxkirXTIkqo11M2j1pOXZexasUisz3XdIkUpLGilkC95oxG240eUbzA317X5L//0wp+/ge6vPGVh8n0ItNd4cp5PUO3b+j1XRNGCEuz3uXZYz0e2dvk4LFxZubbZHnk/g8J/VzQzwXdXHB0Hg5PG6ZmM47Pwv6jNTatlLzsgg7tes7MgiFKaiyfbHaTxup7d+584YNv/PHXv+3fPviJrVE8vn3F8k2fjOlPCSH+Q4Eb/gNF8OqxZs0qcIWGxaef3UOcRH+qlPrTyy7YpZaNt9+5YcX8dtN78NI9z8yoTv8Yo7WI5SOWFeOWDSv7LJ+Y4YsP5TSiMc7dscC+4xZ0i5FmFyRMNgRbJgUvPk9Qb0/x1veO0c3qLopHgjSBempoNTLqtXne//mEv/zAWrauiEjVCG9+9QyL2TE+dHPCbFcxkVn6fUOWO113Gmu6eZe//rcWo9EYLz5XsGF1n8ws0koFmyctmchZWFScttUSN+a5/f4WAk0SZ9QTwfaNTZa1Ms7ZMUJjZKU+94ytX9y1vfGY1fNvknJBN+o1fvv3ftOuXbtp8fl+v76Vx39IgFePDes2QdkTyTudQz+VJMn4zNSZfzjb/XwyMfGIvuzcybPP2BKd004PYcVBDh7vcs3HRnnV+TEjLcsnvtTi9A1t1q9cIBFdxhqWFeMR4yOKiXGn28h03YmSYkEjdZShVe/y5IE+b//gKsbjlG3LJU89u5xlIwm/8JoDPLhnjqnjYyx2LZ2eode3xTBvJ9PsO9JE1+HgsYixkRpa92jX4Nxtiu3bOnziS31Wjze5+rJF7n9SMduTLPRGUbU1THeX3VWrHb37rNNOVi9/2Yv7k8smfrPX60+tmJh4vt+Sb+vxHx7gw0e9vhJgCvgZgHvuvBkLl0v6LzHm+GufOTh9srVdxkb3Mj5quPNRwb79cNJyw/S8QhhBOxWMtiT1NEdrr3T1Y3W1VDA2kjPacvLZj95eI+vW2bDGUk8lC13FvsNNdmxq8/ILF3jP9aPMLFqaC4ZlfWfDYK0orOq6mWV2ARY7MUoo2qlBa8OKluG8kzrMLYwTRct4w2tOZ3ysRqfTfnRybPxa1Ug/te0ke+OVV172fL/kz+vxfx3Ah4+zzr0E4MbpmWM3AjfVJ83WmdnjZmL8X8zqtcs215ef8+vNxkE2b0jYc9jwiVsWMTpnot1n+ViX+b5BCUmEIcsVzZph+dgcswuCRi1i3/EWq0cUy8fcXGQkNYemIiZGRlg5PkOrBu02HJozrO5qlHC6bJEL8txwYFbz7MEum9doLj9tnkiuZPv2bdRaXb7nxSu498H5P1bx3qdee/Wlsj0+KRcXkieBT46OffONLL8bj//rAR6OsdFJgE+Grx954ghxko4dOXLg1pWjD9BqRFmjteEXX/JifdVoPWH9Csv9D95ILCTLx+D0DZLRlqVRN8wuTHH7A5Ncea6lLg0bVxjGxy2792su2NVl936FsBFzPclI2uOc7RG3P9Yh0xMcm5c8sKfJqVtHOWV9nXWrGpx6ymVsXasYH51jw0m1T/e64i9qSR5vO2kn51206kZMf1qolc/3S/gdefz/AH+OY8e25QDTwEcAjhzdhxA8sny1XpkoaZTsc92Nd7OyntGsGzatAa0Xs7PPufytdzy05nvXrq9ni7LL2IThglNb1NuGxqRk89ZF8kTSqjc4d/Mx6q2YNZN1LrtoIX760Nrr9+y5862dPI132RqrxmLO3ZWy8/RTaDVS0iSXp7XVIQFPrVr13dlZ/HYf/7FqQs/z8eRjX0BJsfLaG54ZXT2ibFrvc+fDlgt21Inrmt0HJJfs6LLnoCSN6lx4+jHufDgiknVO3rggHt63fUYIe+iqF17xfP8q/2GO/w/G8Lh6F4X3IQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxOToyMDoxOCswMDowMP5TOT8AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTk6MjA6MTgrMDA6MDCPDoGDAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 6}
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mf_hecke_traces • Show schema
Hide schema
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id: 112395000
{'hecke_orbit_code': 9007199355405113, 'n': 1, 'trace_an': 2}
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id: 112395001
{'hecke_orbit_code': 9007199355405113, 'n': 2, 'trace_an': -13}
-
id: 112395002
{'hecke_orbit_code': 9007199355405113, 'n': 3, 'trace_an': -18}
-
id: 112395003
{'hecke_orbit_code': 9007199355405113, 'n': 4, 'trace_an': 37}
-
id: 112395004
{'hecke_orbit_code': 9007199355405113, 'n': 5, 'trace_an': 0}
-
id: 112395005
{'hecke_orbit_code': 9007199355405113, 'n': 6, 'trace_an': 117}
-
id: 112395006
{'hecke_orbit_code': 9007199355405113, 'n': 7, 'trace_an': -146}
-
id: 112395007
{'hecke_orbit_code': 9007199355405113, 'n': 8, 'trace_an': -39}
-
id: 112395008
{'hecke_orbit_code': 9007199355405113, 'n': 9, 'trace_an': 162}
-
id: 112395009
{'hecke_orbit_code': 9007199355405113, 'n': 10, 'trace_an': 0}
-
id: 112395010
{'hecke_orbit_code': 9007199355405113, 'n': 11, 'trace_an': -242}
-
id: 112395011
{'hecke_orbit_code': 9007199355405113, 'n': 12, 'trace_an': -333}
-
id: 112395012
{'hecke_orbit_code': 9007199355405113, 'n': 13, 'trace_an': 130}
-
id: 112395013
{'hecke_orbit_code': 9007199355405113, 'n': 14, 'trace_an': -74}
-
id: 112395014
{'hecke_orbit_code': 9007199355405113, 'n': 15, 'trace_an': 0}
-
id: 112395015
{'hecke_orbit_code': 9007199355405113, 'n': 16, 'trace_an': 241}
-
id: 112395016
{'hecke_orbit_code': 9007199355405113, 'n': 17, 'trace_an': 728}
-
id: 112395017
{'hecke_orbit_code': 9007199355405113, 'n': 18, 'trace_an': -1053}
-
id: 112395018
{'hecke_orbit_code': 9007199355405113, 'n': 19, 'trace_an': -828}
-
id: 112395019
{'hecke_orbit_code': 9007199355405113, 'n': 20, 'trace_an': 0}
-
id: 112395020
{'hecke_orbit_code': 9007199355405113, 'n': 21, 'trace_an': 1314}
-
id: 112395021
{'hecke_orbit_code': 9007199355405113, 'n': 22, 'trace_an': 1573}
-
id: 112395022
{'hecke_orbit_code': 9007199355405113, 'n': 23, 'trace_an': 238}
-
id: 112395023
{'hecke_orbit_code': 9007199355405113, 'n': 24, 'trace_an': 351}
-
id: 112395024
{'hecke_orbit_code': 9007199355405113, 'n': 25, 'trace_an': 0}
-
id: 112395025
{'hecke_orbit_code': 9007199355405113, 'n': 26, 'trace_an': 376}
-
id: 112395026
{'hecke_orbit_code': 9007199355405113, 'n': 27, 'trace_an': -1458}
-
id: 112395027
{'hecke_orbit_code': 9007199355405113, 'n': 28, 'trace_an': 10598}
-
id: 112395028
{'hecke_orbit_code': 9007199355405113, 'n': 29, 'trace_an': 696}
-
id: 112395029
{'hecke_orbit_code': 9007199355405113, 'n': 30, 'trace_an': 0}
-
id: 112395030
{'hecke_orbit_code': 9007199355405113, 'n': 31, 'trace_an': -10480}
-
id: 112395031
{'hecke_orbit_code': 9007199355405113, 'n': 32, 'trace_an': -1391}
-
id: 112395032
{'hecke_orbit_code': 9007199355405113, 'n': 33, 'trace_an': 2178}
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