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{'Nk2': 13824, 'analytic_conductor': 27.5962989385545, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -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': [3456, 1, [2431, 2053, 2945], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-2, 2, 1]], [7, [-11, -2, 1]], [13, [1, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717820288, 'hecke_ring_generator_nbound': 5, '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': True, 'label': '3456.2.a.z', 'level': 3456, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '3456.2.a.r', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta )q^{5}+(1-2\\beta )q^{7}+(-1+\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3456.2.a', 'trace_display': [0, 0, -2, 2], 'trace_hash': 2002550361164066187, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.948', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.323', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 14, 9], [[[2, 1], [3, -1]], 18, 11], [[[2, -1], [3, 1]], 18, 11], [[[2, 1], [3, 1]], 14, 9]], 'ALdims': [14, 18, 18, 14], 'Nk2': 13824, 'analytic_conductor': 27.5962989385545, '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': [3456, 1, [2431, 2053, 2945], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 529, 'dim': 64, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 13], 'hecke_orbit_code': 33557888, 'hecke_orbit_dims': [1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '3456.2.a', 'level': 3456, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 624, 'mf_new_dim': 64, 'num_forms': 40, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 64, 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mf_twists_nf • Show schema
Hide schema
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id: 1100084
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 26, 'source_is_minimal': True, 'source_label': '3456.2.a.z', 'source_level': 3456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': True, 'target_label': '3456.2.a.r', 'target_level': 3456, 'twist_class_label': '3456.2.a.r', 'twist_class_level': 3456, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1100085
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 26, 'source_is_minimal': True, 'source_label': '3456.2.a.z', 'source_level': 3456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '3456.2.a.s', 'target_level': 3456, 'twist_class_label': '3456.2.a.r', 'twist_class_level': 3456, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1100086
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 26, 'source_is_minimal': True, 'source_label': '3456.2.a.z', 'source_level': 3456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': True, 'target_label': '3456.2.a.z', 'target_level': 3456, 'twist_class_label': '3456.2.a.r', 'twist_class_level': 3456, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1100087
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 26, 'source_is_minimal': True, 'source_label': '3456.2.a.z', 'source_level': 3456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': True, 'target_label': '3456.2.a.ba', 'target_level': 3456, 'twist_class_label': '3456.2.a.r', 'twist_class_level': 3456, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1100088
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 26, 'source_is_minimal': True, 'source_label': '3456.2.a.z', 'source_level': 3456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': True, 'target_label': '3456.2.a.bf', 'target_level': 3456, 'twist_class_label': '3456.2.a.r', 'twist_class_level': 3456, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1100089
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 26, 'source_is_minimal': True, 'source_label': '3456.2.a.z', 'source_level': 3456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': True, 'target_label': '3456.2.a.bg', 'target_level': 3456, 'twist_class_label': '3456.2.a.r', 'twist_class_level': 3456, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1100090
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 26, 'source_is_minimal': True, 'source_label': '3456.2.a.z', 'source_level': 3456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': True, 'target_label': '3456.2.a.bj', 'target_level': 3456, 'twist_class_label': '3456.2.a.r', 'twist_class_level': 3456, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1100091
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 26, 'source_is_minimal': True, 'source_label': '3456.2.a.z', 'source_level': 3456, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': True, 'target_label': '3456.2.a.bk', 'target_level': 3456, 'twist_class_label': '3456.2.a.r', 'twist_class_level': 3456, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3047650
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 112589990717820288, 'p': 2}
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id: 3047651
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 112589990717820288, 'p': 3}
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id: 3047652
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 5}
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id: 3047653
{'charpoly_factorization': [[[-11, -2, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 7}
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id: 3047654
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 11}
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id: 3047655
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 112589990717820288, 'p': 13}
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id: 3047656
{'charpoly_factorization': [[[-26, -2, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 17}
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id: 3047657
{'charpoly_factorization': [[[-11, -2, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 19}
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id: 3047658
{'charpoly_factorization': [[[-26, 2, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 23}
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id: 3047659
{'charpoly_factorization': [[[24, 12, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 29}
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id: 3047660
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 31}
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id: 3047661
{'charpoly_factorization': [[[-11, -2, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 37}
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id: 3047662
{'charpoly_factorization': [[[24, -12, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 41}
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id: 3047663
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 43}
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id: 3047664
{'charpoly_factorization': [[[46, 14, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 47}
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id: 3047665
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 53}
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id: 3047666
{'charpoly_factorization': [[[-2, 10, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 59}
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id: 3047667
{'charpoly_factorization': [[[1, 14, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 61}
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id: 3047668
{'charpoly_factorization': [[[-23, -10, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 67}
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id: 3047669
{'charpoly_factorization': [[[-72, 12, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 71}
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id: 3047670
{'charpoly_factorization': [[[1, 14, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 73}
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id: 3047671
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 112589990717820288, 'p': 79}
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id: 3047672
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 83}
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id: 3047673
{'charpoly_factorization': [[[166, -26, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 89}
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id: 3047674
{'charpoly_factorization': [[[-299, -2, 1], 1]], 'hecke_orbit_code': 112589990717820288, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 26, 'label': '3456.2.a.z', 'level': 3456, 'portrait': 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KNZM6mZnUhY7Ph0BoJh7LLUF6yf0Cy0NcfOKgLXY/00bF4Tsm5myNqZEetnRmxeZ9i6XnHpFpeaanD4WIuvPePx2L6Yp45GJKrLd76kzZteZKipGfYdneTwKYeT5xLOpOA+MG+4/vI5fvVtS2yZneDUuUnOLQUstF0W25LlbkKnl9AbCvYfXWDf8c6lT+w7+9LDx09fcOTk2S/c/IrvDu//4seeb0h8U7d/1Ay+tNQmjA1K8lv3PnbwRb/8hx+Rb33RoRf9++8+6cwtrmex3WKhXWeh7bHQdlhow2I7YbEdsbCccGYZDi4I1swu8+s/tMANO+scPzvNqXMNTs07nF0wnJmPOTGXcK4bMzk95MVX9rhpF3iyhq98zi4GnJ53OLMo6I8gjjWBp2kECVMTMRo4eiam04Nt61watRHGCBAevYFm6/oRC8sOGCtFlnswisFgWGyHbFrr0h0ohDIIPaIVuGzdMGS5Lzh6yiHRDjMtSTMQ+C7EsaA/kpxZlJxeMJxdivH9IbgxN1/W40WXC9a0aiwstTh+1ufUPJydjzm7GHNyEQ4uGK67bJ7f+KEl1k+2OHZmmjMLNeaWPObbksXlhKVOxFInYbGrme9KjndgebHDH/xfw/htrwm+6kz/lHbql31VoH/Z4OIHrecbKue9/aNl8L94z8d4yYuu5T/8h//4mx/+5F3/1zv/5ssXPXO0c8GBU3354iv6bN+YkGgHYxTGWPbGSEACAiEMjjB4Ek4t1HjogOTKHYvs2jKkHoDrSDxX4XkOjZqk7kr6PZe9RwLufMzj6LkRnThi7/ER62YWef2Ll7jyoi7X7WpzZD5mvi+o+0MOnTK0Ow2u2C5ZHibsPqJo1h2ePQoXbzQMw4Rh4uE4EVNN2HPcRzkJroxxXBiMJDfs6jPoS668KKEzSDh6qsmF6xWNesjyyLB2ss9Sr8OH74InDic8dXjIto0LXHVJh6npkNfd3OV7bjHsWN8kiSY5fHKCgydcjp/RnDgXceJcwsFzgmPLES/YOcev/1CXdZOTHD8zzdmFOnPLHgttyVI7od2NWO4lLPUMiz3B2b5iqRNz/aXz/PR3nZOB4oLTp05c2OsnNzYmLqzV6lNfeubRT/Cnf/7B5xsyq97+UTL4hz/yCW65YZv62O3P/ZdDx878ytPPHVFnFiPmhorTfcOV287y+z81x9U76pxdmGKhXWexHbDYdlnsOCx1YamdsNSJWezGzLfh+JLAqQ154eWLfO8tIReubbDca3Fuscbcosd8W7DYthJhqavpDDSdkaE/jJlpRWxdpwGB7xpOnHMR0mfbWsWFGw0b1/Y5uzTiyf1Nrr3YUK8t8cyBaZqNkDB0mZnSDIZw6dYhH7hrkku2xIxGhtkJSZQMaAY+zx4ZUnMbXL0z5qlDIWcXPDbN+Fy4AbauD1Eq4sQ8eK5BCMO2dTFTTUl34NPru3T6LosdxeIyLLQ1i+2E+XbCmTYsDBO2burxvbfO88JdDoHb4vR8i/mlgPllh8WOYKmtWe5GLHUTlnuGhR6c6SrOLsfccMkZ3v5TC1y8qc5Ce4LFdkBvOEHQ2p74tfW/eWThit9Y2zyc3HrbG55v6Ky4/aMC+L59+wiCoHby1ImtTz353FsPHjn5357be5xhJOmPYHlgGeVUN+a67Wf4vZ9a5KrtNc4tTbGwXGepE7DYcVnqOCx1oN3VLHdjlroxix3D2bbgVM+A6PGml7R53Q2a7RsCwrDOUjtguefR7iqWeoJuXzAcGcLYkCSgpMF3oeYbJluGtdMRjjvk4OmQpw/46LjBa24McdxlHt09wQUb4PMPxbzkCp9z7QGBo4iTiOkpiCMXx41ZWKjz4ms6fP6BJhdugEf2j3Cp8+obNLEY8PTBhMMnAhzpsW7KYaohqPkCzxMoAbGGMDIMQ+j2Dcs9TbevWe5rFnqGQZKwbXOf193U5k0vCkE3WVie4NxizertjsNSG5a7Ce1ezHIK7sU+nO4o5joJ1+08y9t/6hyXbasxtzTJcrdOu+fT7Tu0uwIVbMGvr//Pm7dc8pHNmzYfG46Gg4t37ny+oZTf/tEA/PChA6xZs8Y7cODAj+w/sP9PH3vsSbGw2JX9oaY31HSHhu4AlgeScwPJ6W7EDRed43d+fIFrLgqYX55kYbnBUsdnueux1HVY7graXUO7l7DcjWn3NEs9w7mu4HRbMzXZ55XXdbl5V8y2dYpWzaXTDfBdCSjCWKK1QBvoDwGhmWoO2X/SoE3IHY80GPVrXLTJ44VX9on0Mvc8NsnVF7vsP9OjvdTipiv7fOlRn3XTht1HDf/6jR12H/FZNy258zHFCy9VLPY7HDo+zdU7Q+55ekA8qnPzZR47tgwZxD2++KiCRHDwhEOr7uAI6A8k2ggSbYhiQGocT9PuGRrNiC0bRrzo0j6vvDZmphFwdnGCheUaSx17bJY6gnYP2t2Ydi+m3Uto9w2LfcmZrmC+G3PjJXP85o/PcdWFAXPLEyx363R6Pp2+S7fv0Ok7dHoQ6UBfvPNKs33Hjp+56KKL3js3NxdefPE/DpD/owB4HEcyDAevf+SB2y9a7sRvf/iRR90wglEI/WFMf5jQG2p6Q0N3IGgPBOcGklPtmJsvPcdv/fgc1+7wWO5MMLfUpN0LWO56LPcc2l1Fuw/dnqHTj607MNC0+4a5nmCuB1Ey4qqLB6yfTuj1Da+9acQF6zVxInGkIYzg7icDjp0L2DAV88zBAHSdXZsV11yi8YM+j+7vMzff4PILGrQml3jgKZfrLw5Y6C+ztNRi/XrDQ7sVP/DyHg/vdti81mW+12ZpcZprLu3zwDMJ07VJLr+ox7l2m4eem6TmNLjuEsPOrUOQPZ48LFg7HXF2LuKeJ12GkUJKSLThgg0hr7wppNtTbJzSXHMxhGGdxXadxbbPcs+l01e0e5JODzp965R0+wmdvma5b1gcSE52BO3BiBfunOM3fmyJ6y62F0e7W6PT9+n2XboDh25f0R1IekNBr58wGMVcc831UazVL7z5Ta8/UG/UPuO5rn6+sfW8ZzLjsIeO+z905tgjv79wbu/0iVPLtOqSQWgDRWMUJv9tawEKYZDSIKXDw/vW8cvvcnjjCxf5vpcvcuGmkDMLLXyvRs33qPsujZpDtyZpDlwmGo69YAYJ60aawcjQHfoszgWcOG4IY83JMzG+bwCBpwyOFPQHCoFL3Hd4wQWCHRsNWzf1GSVdbn9YsefAFK+61ueaS5d43+0GT9S5YFOfpx5QbJpUzLb6BKpGGLmc60IjcNi8TvDEnpBrdta45ep5/vKzAzy3yStuNLh+ny8/FPL5Bxs8d7jG9o11LtiQsGYq5MLZiCsuSFBK4ygDGOq+z5pJnzBy6fY9ntnv2hKFgaI3lPQG0Bsaen373buDhN7A0BkYlgcw11ecXTLUJ9r87Gvm+K4Xjrhqe4PT8y3avYBuDm5FL/03ByPBYGQJIIzgnvsecmuN6d+fnF63eNstN/77drv/lxMT9ecVX88rwEfDPokRP3bi8Nd+68jeO6ejQZ9G4COExNZACECBsM+EAClsJ42SBiUTPCl5av8aHt/XYP+pc7zxRT1edNmQyWaLxXadRiegNfDo9R17coaSwdChP3IYjgzDUBNGhigyxIm9h7GH0SCVwHUEgSeYbAqmmrB+VrN5XZ/ZqTZfeBTufdxF6gleda3LC3Z1uf+5iHDY4oUvELQHA84tNLh5p2Z2sk/N8RnGirlOhNKCF+x0qDdHPLY34KXXTHDTVV0e26vATHDtZR4/+p2LfOmJkDsfbrD7WMDWNYr10zWmmnUmmlDzwXUMSoI2sPuwIEkEUSwIYxhF2O84ShiMNMORpj/U9Eea3gA6I5jrSc51YaSH3Hb1Iq9/UZt//gpNHLc4M9+g0wvoDjx6A5feQNEdKPpDQX9owT0cagajJP23E06eO83xM7dPx3Hyf3/Xd9zi9Hr9dzUazx/InzeAh6MFpIx/9NSR+37r5MEvrY3DLrXAxZBACm2ERCAQQiGEQEpScINSBkcZXKWpuYL5fo0P3bWZLz/e4SVXLPO225a54sIeM5N1FpbrdAc+/YGbAlvZeygYRZIoFsSxXepNulwoaXAcCDyo1zTTzYhNa/vE9Nh/MuLD9wQcOt5g0q9x/WUON1/Z4aF9be74WosbLw7YuqHPB+4SKOHTakYs90ZoA0rAmlafTtdDxzVe/5JzfOjzdXacDXjdjX3CaIF7np4hSgJuuGwtr7u+w8Vb2nz5sT5PHa/z5GGPzdOS6Zag7gs8116EUoAQBm1Aa0MUpxdrZBhF9kIehjAIoTsULI0Ei10QzpCrL1nmba9c5iWXJcy0aix16rS7Nbp9n97QpTcoVoL+SDIYQj+9cIbDhEGo7YUUgUYxv9DhAx+7c+0o5rfe8NoXmzPnFt+9fu30P32Azy8blIOYrAsTzn/gh3uD6O2Duf2znupB4CPCJAWYICPwjM2FkCjpIGWCUiJdnjWuMviOoeYIloaKhfYUH727wYPP9HjhVcu87RXLXL2jzUxSI459+sOA3sBlMHIII0UUS+JEkmiBNsJmQYXB9zT1IMb3Qjx3xMmFEZ99RHLghMfhE1Mo7bNjg8elFyqu3dVB+XM8fbDJpsk6l2+H9WuWWOy0uGKTJNaGLzzsM+pLJhsxr75hyGfuiTh2psklF7mcXh7y7CGXLeumuOrCOe5/qssDzwpGoceuC6fZtcVn1+YuB08vcuAkPLynzv5DDeqOwHckDd8QuCClJQZj7MUaJxDGECaC3kjQGQo6EYQ6Rpsh113c4W2v7PCSKxI2TPsMhxMstAO6PZ/e0KM/cOgNFf2hsnJkKBmMbN/ocJRYj39kwT0INcPQMAoh0opDJ9v8yfu/svbeZ06/vdV04n/13z7xvs0Th/nVf/vv/ukCPEmGIIKXHD7yyLu93u9PN52zs4HTpNWoMxwJq6uFQQhS1saytRQoJXCUSh81jkpwHYHnaDzX4LuGupcwGQi6I5elzhQfv7fFXU8OWTfV5623ttm1Zchw0OPyCw1b1itGkUuSFGl+gUFKjeskHD1rOHxGsDzQfPr+OifnpzChy1Sg2DjjsG29w/ZNcPmODlrO847PNFhcnODGXQ6X72jz5ScFInZZOyVp1GP6kYc0EoxEOR7toeDsouAyU+fWa7t89bEaG2c9brx8mn/5nfO89/NdHt7boDd0WVhucuHGGpds6HPDzi7f/dIupxYX+fT9Pgt9n6OnXU6e9HCVQEq76mljSDRE2pDEmqmZiCsv6zMaRezaMuLNt45YO6GYbvpEUcDpuYD+wKM/sqvcIAd2prUFwxF2JRglDEPNKExS5jYpyGEQCQaRoBu5HD7R4Yn998++8vqJP3r1y9ZH7//cub951wd+nx/7gX//Tw/gP/lr72LdTCDe+8E/uXB5cd/OC9Ye5DtuVoSRizYSiUl1tim0trRSQUqJkhJHCRyVPjoC10nwHIHnagLXUIsM9dAwESRM1QT9UNINGxw+0eB3/mYadIyIY669ss+F60PiGLTRGGOTOFIIpBI4rsfeYx67DwQ0AoemJ5mtC9bMSNZOO2xco9i2IeGSbcskYoE//kSLo8cmuXGny64LEgZxl6897TNZc5mZMEw2Q+o1K4W0lrSHisWeYaGd0O7VePHlyzyyu8+eY4rJVsANl03y469f4E8+CY8daNAbGJa7DmcXW6yfrbN2asi2mSH/8S19WvU2Tx2GvcclrmtQyiCEBoz9n4E4hgvWJ7zwipgkcoliH2PqDEOXM/Meg5Fd0YahyuXbIBQMR4JhaFl7FNqs7GikGYWaYaTT97J7Ae5OJFgOBb04QQ+GiOjo5Gxt8Z2/+7Pb45e9/IqP/tCr/2/jrf35fzoA//Ff/wBrN6xXP/Dz73zTn3/81Dseeeoor7h2kgvXd9i1tWddEWEQUiOlnwaQLkoZlFQopVK9LXEdqzk9VzFyJaNQ44cJo8hQizSjSBOGhlYMo0gziiGMBcNIMkp8oiRgz4EGT+6BxBgstK02diV4ytZ8NH24fAO0ajDRkEw1FTOTDmunYev6ERvWLBOZRf74ExMcPDTBNdsV2zdLdmxe4ivPxpxdmODaCyVTLU3gDfClj1GCOJEIY4iTkKVewNkFl2t21XjBzi73PxawbkpQD5pcs1Pzs29a4I8+qXn2ZJPlnma5q5hbcpidbDDVqjHVmqBVj1jTiNh2TYjvxrhOjFIJUthgwmAvqihSnJtziGJFFCvCSDGK0sdQMooko1AyDCWjUNgANRSMQsMotMd1FCaEYarpI/v+MIRhJBhG0I8E3VCwFEl6oxg96vOCi5b519/b4UWXP1ZXvn5feNZo41z0ieGZP0iC9f/u2x/gv/E/PsRsK1D7Tp1486Fjc3/5tSfPBlrO8vkHBzgKfuMnO1y6uYeSGqk0UhqUclFK20dpcJXBdRSuY3BDiecKexJcwchThJEFehQZwjixrkhcuicQJ4Yk0SQaq7c1ObgzKeRIcF3wHUHgC+q+pFFXTNQlUxOCtdMx29b3aTaW+cRXQ+55eprl+RZXblVs2+By8ZYhiVjmCw/XabgOa6YUzfqQpw/Cc4ccrthi6I8UV10cceUOw5nTCXNLHoNhnddc3+W+pwbsP6lo1CS+1+KK7Zrf+OEF7n52wGfunmWhY9i2NmGp7TDZUkw0XJp1l0bNEPga39P4ToKjrNSSaWulMdiElRbEWhIngjgWRLEkjAVRJBlF1nkJI0EYGcIQRlFCGGnCEnGMovLdgnuQgrsTSdoR9EcRMupxzQVL/PpPLPDaGzWD4QTh4HAQx42/HjH9L0bJto8d2/O+ZOuuH/72BvhsU8vBcPn7zpw4+WeHDhwPmq0G/VgTS4e/e0ARhg5vflmXt9zWY6qV0JUaRyapzrZ62HUc3MjBdxRD1zLNyJWEniCMhD05kSKKIYykdRDiwvaLE02SWHchMalTkrolmTujpJU9niPwPUngSxo1QatumGxq1k2PWDPVJTbLfPQ+yXs/P8PaIODKrYKtG1wu2KjZtmGJT3zNsLgYsGu9YqoFzXrE2SOSc0s+3oUwigRrJiSTk7D/sGGpozkzH3DxBQEvv7bLZ+8NmGmC73koOckVOwQ/8bpzuPIcf3f/FM+dDFjXiVg7GTPRUDRrinpNUvMdfA98FxzHOkxSgBQlkGMv7ERDkgjihBToECWGMIYoSiwpRJowe4x0ajtmrkxqQcZWkvQiQSeWdCNNOAyZ8Dt872sWeMutPV55raHdazAMA8LQYzA8HURy9p2xmHAg+CCWZ749Af7+D36KROsffnbPod87cvhYa11T0Q01HSnoSJ+RVHzhYZevPVvj9NIC//q7+0y1YkZ+QKcf4CgP13FxHRcvTAhdBy+00iSMbCrdMo6wTJSyUhxDlECSWCdBaxtwaW2yHs4U3BbgNnAVuI4FSOBDPdA0azGTzZg1kwNmp5b56p6Qv76jxt7Dk1ww4bJjPWxe77F5HVyytUM/7vDQ7hY15bJmSjHZhMnmiKmJGM9z0sQVDEYei52I5b6h3Ys5t+SxdX2Tm3ad446H++w92aLuR7jKQ4gJdmxS/OAr5rnuknP89R1NHnpmkoWew9pWzGQ9ph5IaoHCdwW+K3FdG6soRWofWpQbbA+r1uRAjxOdrm6ptRhr4sSCO44gjE1xj6wrM4wtqfQjQScWdGMYDmN0PGCm1uFnvmeR//D9Peq+R7tbYxj6jEKfUejSH3m0OydbeMEfT6273Hv84c+895obXv/tB/BzC22Ukj/2jvd+4rf27D8x4yhB4NrDrAQ4QtARLgMpWR45/N5HXHYfXOL1L+1x69Vd1s2GdDs1BiMfz43xPZdR6OB71t7LAB5FkjC2y24Up552Qmr9kTK3RBsKcNskZcrc4CibMPFcQ+BpakFMM4iZao3YMNvhbLvPn37a5QuPTLO41OCiNYKtawWb1npsXiu4cOMQx1vmQ/c4HDreYOc6yVRTMtFIkHLEyTmD70ikAGMEYeSwbW2Hh0no9BVLHcPZxRo7Nwd8961tPvZljyNnfVwnQggXbRpEseTaC5fY9v0dvvBYnw98YZpHjzTYNCWYbSQ0goTAE/iuwHNtrOIobOAsRV6TYbAXmTZYpyWxgM9AHidW0lmwQ5jYWpcwSx7FgkEM3VjSjWEQapL+iM2zXW65Zok3vLTPa6/XOKLO0nLAKLLZ1VFoz18YOmgUYe/YjMumt1969ZtUNFp+l+tPfvsAfGFxGd9z/uXffuae33rgoWfWJolBKYGf6gJrxwlcKehJSVcGtEOHD30l4O6nulyzq8P3v6LP625sMzPpMxj6DEYevusSxi5h5OSBUhwrokQSx5IoEcSxJEkEiRaF1taCXJWYLCNqk0UqTRZ5rsb3Emp+TLM2YnayxyAa8OWnDR/+ygQPPTPJlOdyxSbDhmnJuhmPjWskm9eFbN+0xFNHBnz6vjVMKIc1E4JWQ9CqR7T7CZ//WkDTs+6QNjAYObz+hSM+96CtiWn3NOeWHDavbfLGF/V4aE+X3fs9Gn6MksKCXNcZhlbr/+DL2+zccI4P3d3hgecmObZUY31LMBEY6p4mcDSeC44SKEmaILPfOys/0qlU07pY4eIU6JYgIEoEUZICOxEMY0E/FvQSbMwThjRqfd74qkW+7xUdrt2ZsG7KZTBs0Ol5hJHHKHQJI3vORpEijBVGC5Q0LJ17Zu3xg+t+a/P2W/Vw0H5PUPvWj5X7lgK8026ztNzBUeKH7vzyfb/7+du/PNPvLhN4Cm1Mnm2TAmQMjgBPgi+hK136ruJEx+fUg3UefLrHx67s8uaXD3j1C4dMT3qEI59RbA9YFDtEKdDjRBEnacImKQCuTcrcuqgpy2xIJW0dh+NoPDfB9yJqfkizNiBhwJcek/zNXZM8c3gCEflcMGXYMGmYnVSsmfZYPyvZuCZi6/oOx+e6/PlnGsSjGps3CyabDq0GtOoRwg3pDBpMNg1CCIyBKJZM+4pYx3Qjj24/YamjODlX47LtTX7yny3z9g/6HJ1r4KgovTAc4jhgGErWz/hce1GHK7f3ePboST78lRp3PDrJqXaNhq9oetBwDZ5jcBU40qbzhahW12nAaHvRJVqQGIgTYf3zRBAmNkk0SASDBAaxIY5jdDRiJhjwmtuWeettXV5yRcREzSWMGiy1fUaRRxQ7KbAVUZSuunE5sQaDhS7L3XvWdgfu71548Y3x4vypv1Jug4mJbx3Qv6UAHwwGTE223vDoY4/9yV133dWKww4TDccuf1qkQU8R/DjS4CS2mMlTmloi6CuPfuxwbhTwdw82uOeZPjfc2ePffE+XS7d2WDupaNUdwsgjjF3iuAB5kgFcS7SRGGMlgckDyjTVr4wNYp0Y34txVUhnEDHXifjDTwQcPjfFY7snMdpjpiZYO2uYnRDMtBQzky7rZiTrZ2I2rekzM7nEFx7XPPrcJFduFkw1Jc26pFXXNGohwh3h+w6Osn/fGEgSyWDkMBhGxFrQHWi6PcNix+XMQoubL+lx02XLfOjOgNqiwpGRBaRxiBOPMLI9nrOTAdft6HHdRT0evuUUR+ckf33HJOeW65xY8PGUpOEKvEyGyZRkIE15plIFy+SxEcQaIi0YJTCMIdQGkhjiCKlGbJwacOU2ez6uvzShVXOI4wbtrgV2nALbrrBOKhtTcEcyX23jRBAngkG7z8m5e2Z6Q/dPLr386qXhcPDpbyUmv2UAP3DgAGvXrVMf/shHLtq3b3+r3+/QrLuEkSaK7ZKnpCFKBCo2ttYjAScRuMrgxYYgEdSVYKAEfcdnkLgshDXueHSCrz43oOGP+BevbbN5JuaCjQNuvryLI2yLmBBWrtispK2VNqbE3BiENChhPXNDDDLm2cOSR/Y4fPahJs8eaxLGdZqOYk3NMN0wTNWN9cFbDtMTDjOTgvXTMRvXDNiwZol7nhnxjs+uZcOkw5oWtBqKVkPQrMfU/BFf3acYhg5uw4LKGEEYSwJHcfXOAQ8+PWkLnwYJyx2X+WWfs/NT/OTrznJifoEHn1iDKwERoSEH0CiU9AYOU82AyVaDm3b2ueXKPt//sjn2HNd87qGAh/bU2HeoQSwcRiNFP1KovPShHHimOQGjibXBaI0rEia8kICIm67pceGGIZtnI9726hE1T9KouYRhnXbXS1dSJyUclXvtUcrY5XucyNQMSIvCIkG71+GRh7/aOnfu7EWv/2ffow4eOpjs2L7jHw/Ad+9+jomJCe+xxx79EaPj31tcXMRzrWuQ1ZXY8labjnekQMVYiZAYnBhcKXC1wU8MgRLUE8FIwzBxGSQu/SSg20343Q9NYeKIdWuGXLZ1yMxEzJtfPmDr2pAoEqnellBiblL9KaVGSMHH767x1MEGwnE4eqrOybN1gppiwhdMNgytQNMKoFkTTNQVraZiqukwMwmzkzHrZoZsWtshMct8/L4Wg16DizcbWnVFsy5p1jTNIMZ1Q77wYMCoL3HX2m7RTKI0aorX3DDg3sc1vZGkN0jo9B2Wuw5nFupcemGTN7+kw2PP1jm62ERJDUSpXnaJEsUosomZ3tCh3fNo1uo0aiMu3TzkxkuGHD/X5sjpZRw34clDDh/7Sh2hbOEa4/MHjQY0GEMUJmxbF/PWlw+YbSVcss2wbgaS2GUUNoljl6WOSxwposRJ4yAL6AzgNibKQF02AKS1JhOIUvdLoFhcWGD9+m2/9/hjj/a3X3jBe/ft3R3uvOTSfxwAP3HiBHNzcztPnTr5p48/9qhUMs2alNLuNjtpcCTEaQo+1gIntjoxSgxuYjWg7xiCxBAnglAbwkQw0pJRIgm1S6RhrtfiK09pDAmfesiObMDo9J5l8VKLTGQViRKpFHHkILWD60iaPly4xtBwNXVfU/eh7gsaNUmzZuXQRFMy1YKZiZg1UyM2rumSsMQf/m3A/U+vZccMTNVT9q5LmrWYei2kUR9Qq9XxlUTJVINj5UAUuQwHgsEooTtStmtpoG3LXMPjxNkJXnzZiJ99y1l+/2MOx5Z9hNAYE6ETQxS7hJFkOLJlrM2BQyPwqNcC6n6dwI9o1kKuvTjEcyOuvzjmbbf1cVScJoG0JaCyKE8lndYSISS+qwCP4chhYcmxdTtJFvOk91gWMVDK0Bm4M2BniaU4DVqLRJPV+rG2rs3DjzwshZR/GobD+4bD4TPfCmz+vwb45z/3Keo1p3bo8ME37d+3X0glkdjqP4RGItO6EutYxLFBKoNKQCVWG8YJOIntfYyziD5Jo/ossteieK0FoZbERpJoh0j7JKntVb7lWcrUlnQkuAqCmiFwDIFK8F3wHQg8Q80X1DxJvSapB44FeEMw2dRMt2JmJkesne6xce0C7/is5gN3rGPLpGK2qWk1FM26olGHei2hWYs4vaA5eNon8OwFDVmln2AYOly4XrN+dkhn6DEYmpTFJctdh2YtoFmf5G23nePQ6TO889ObcKSDQZPohFgbothhFCoGoS2K6geS+tCh5rvU/IR218YYnpvYhJmb4EjbKCFlkha22bstXbElnBbkgrZOqyy1jWuSRKK1JNZFvGO1dBbgZ89Lj7FI38/ATa6/baLJnmtt7KryzNNPi15/8KYtW7Yd/NSnPjn4ru964/MLcCEc7+zZuV9aXjz3SzoJpedKtM6SKDKtMbEAT3Ray50IklSexBqcxPrVSZZ80CZ9bfL3iudFpZz1ckUeKJU1N1AJah2pcSRpTQu4SuA6xvrGjiDwJYEnqfmKWqBo1iTNumGikTDZjJlujZid6rN13QIP7Rvxobs3MhX4rGtqWnVhwV2TNAJNI4hp1kc8tBee3FPnojUm1b1F2nwwUlx/ieHirQMefmaS/sgwGCb0Bk4Kcpd6UKMWTPK9L13kyX3neHD3ejAKrRNbDhsb4sjk9SSDkUN9aKgFisDT+J6L7yX4jsZxElzHZoeV0mkRm60BQhgEhZ4rgnNbQqwzR0pn9mvJis2ArS1oi9fkwM7ulsAssJPUiswftfXjO92BPHny9H9p1Bteq9X4TSB83gDeHwzkcDD8tU98/IP/fmHujOd7Ki24B6ltdV52IBNpnZREGVSaVEiUwdHpc20baHVC/jzJMm4my7wZdJqJy5IVxhhKmffKipu5NVlCR8k0Y6koFW3Z7J/vKQJfUfMF9ZqgWTO06gkTjZjJ5oiZiQEb1yzx4N4Bv/aX6zh2YpLts5rJOrRqikZN0QigESTUggjPHdIe2mIxV9n4I7slWqTBlkerFtGPNf20zro/TOj2Je2aot71CfwmF6yP+I0fafNf3yf52u51GBTaaJJEEycxYawJI8UwVAx8SW2kCDyJ7xl8T+E7Gte1fr+jTFrnk66qqUwRwlQbdNPUvklJxKS1LEkK+EQXj5aMZPooCoCnz5OctclXZ5uEK4jMxhbWmz9+4pQ3OdH6hdte8f3ucNj/z0FQ/wen8//BAB/0Oxgd/uazT933c+3F40EQSMBgtPVREwNa2itWSUGsMiAbtLTgTlJw6+y5Fuj0Ss7AbT1aMNrYLvK0BLR8ZwzgqexOA0srUWxNuZVETtqK5joS37MDgALfjmSo+YZGoGnWE1r1iIlmyHRrwMY1yzy4p89/fe8se49Ns23aOizNmqRRl5a9a4Z6kFAPIqIk5P13NpFK4Uqbvc0Z3GRLuMsPvmqJLz4a0g19+inAewNFt6do+w6B5+O7LS7ZEvPffnSBX32v4IFn1qGNJNE2rR7FttBsFGpGgS139X1B4Ap8z2Y2PcfkGVtHaSsTZVGWnAO8SHkCKYlgcwnWbUkD+QzA6dQBnSfXSNmdfMVNVgN2DnALbrsq2+cg2LPvcHDHl+75d6965cvFcrvzy5MT/7DpWf9ggC/MHcQYfdPpY4/WGsGIWGdLmCFJ0qIeCSp/FCRSkJjiS1lwZ/Kj+KJZdi1rv7JAF7aOIgN1duDHPlfRu5nWmUiKYqq0jtwCXOK60tZveILAtzNP6n5Co2bB3WqETLYGrJls89CePr/2nmmePTrL5inBTKMkTQKHRmDrV2pBTM0Pcd0RJxemcJVASZ33mGZBZpJI4lixYcoQxxGdKEg7ZTSDYUJ3KKn1FYHn4rkBrjPBrs0x/+1fzvGf3g0PPreWREsL8MQQxUnK5JqRrwlCydBTuQRzXXCd1LlS0uYCZOpuCayMFMUxLJOGMWkmWKesnsnDNDmUZYuTpPS+LiRnUgK21sX5znGgS3hIz3m72+fLdz9c27R5601S/sN3nPgHAfzskb9lYmKx/uiDX/E8uUSzLhlF2gYUWhBLU3zJRJDI9KSq7LVl6sShcgUXwM5kiMmBbjI5kj0/z2eToiiikhKkFDm4lZRpo0QmTyBwwfc0tcBQ861+rtciWvWQycaA2ak2j+4f8qvvmuLpo2vYOKlY09BM1ATNQFIPFPWaoBbYi8Om+kMe3C3oDT0CRXqRpW14pgg0o9ihEShuvrzLQ8+26EdWpgxGCf2BousrfE/huV6qnye5dIvmt3/8HL/4F/DA7rVEWhJpnTZLFz2YI0/ie9qyt1vU0Tsqu5PKlELGZd1Uq4E8SwqZDOAp4JPceWHVlVePSZAykKtAJ/8d20sKS6eW+PP3/p33nW/4jvr/fO/n+j/7I9/xvx/gyWAvMtgyefrAR/7clZ2XuirEdz2EkEQyS+iUlieVXrXpsmUZu7jKtRKrs3YJ0DoHdtEUTKq985MhbEGRkCm40yIjlQMcVFox6DrgudhOIC8tsPITaqm8aNZGTDQHTDU7PHFgxK++a4onj6xl/aTDmrpmogaNQNCoKeo1RT1n74TAj2nWh9zzpMdyO2BqqkiTZ4DRqTaNEsXaGcVtL+hxzyPadtGEugRySeBKAtfBdTwcp4aUmku3GH7rx8/xi39heGDvWiLtEKUVgLbs1TK5H8m8utBzJI6TFmFJgXKyY0P++bKLMJMqIqtKo0gIjd916VHr0mO+8lbBXa7sTMZf53UwtnS3P0yIlwYv3bP30Lt/7iff8lM3XX90+aartv3vBfjc3FmkXPrFpfkj3zfsL6BUHdexMYCVBIJYluqOM+dDlYJGXVzxmfxIchlCzt6VQHKcuVOkZxm5XHvLrIKu0N1ZxaCjsPUZjsF1bWNx4GkCL6EWxNSDiEYwolkfMj3R5rF9I37pL2Z54tA61k66rK0nTNRNCu6UvQNJzbfsH/gxdT8k1iO6oY9QEjdj8FyDi5S9Ur84cml4Q1suEAZMZSAfJvQ9y+C+J21NvJNtQGu44gLD23/qLD//Z5oH9qwj0g6jRBAmOmVxQRBpfNfgubZ31UnjDkfZEmElZXp80q787LFUmJVfmOVYZwzcOQmViKkM7jyuMsXzItbKgF7IGFvoZf/+6TML7N575PseeuTxg8NR9J/+tzL4ubOnmJresO2+L7/3ymF7GVf69h9RBtAIKUnSjGVhKWWBo8jBnZRqkrPRaCYLJk0RiBVMUWQlTXnNzFi7HFRmy22aa1JpMOU4aWdQWoSUVQ8GbpLq5ohaMGKq1Wei0eXB3TG//I5ZHj+0jjUTDmtqCROBoZmCuxZYOzEDd81PCLyYViNk9xHD3Y818KTEVToN4gqPIlu+o0QRa4dbr424aHuPg8dqrKlT9DmOEvrDlIUdheO4ecJMCMPl2+C3f2Ke//QXmvueXcMwqtlkWGyopzXcvosFuZOtXjrvbZUqyVc4JUUJ4KIEclbolQLkpgrwvEKxWHlXW5kLdqcE7rRsN9Psif1jrbqiv3SKJx595Mr/8HM/vu348RNHt2zZ/K0H+PLiaYJ664KjBx/6g3Cw9IbhYISspZ3vyhrfQhukkKlEMVTsJGPQSSZHxIolLfOHTe5pj7kkK9ySlLnHwS0MUmW2YJo9VSlrOwbP0biuxnc1vhcTeDGBH1IPRkxP9Fnq9rn3Gfjtv1nPUwdmmU3BPVkzNGuCRiByr9w6L9qyt2cBXvNHhEnCcBAQKHuRSVFa+sk0q0gDTcdqeWfEKDQMIlECuMbzEjzXwXWlnSog3RzgCLjqQsFv/9QSv/vBmAf2zHCq3WLYkEwmhmZsCNKJA75rUu8/c1JMzt6ZVMkAnn/e9EOXcZ4rxPSkZKtqAe6qpLTVnCWwV4BeADuzg8tsbozNVwwHfc7NLb7hrnseSK6/9gX/7ujxU0e2bdn4rQV4Z+kow35w4/Lcc28atPdQCxybEUu/rJQCpYW1AEvA1mUrSYlcklhQi3RpyxI2VSlSBnh2iMuqMDsJtr48Y++iG78YDmTLYl1Hp2MmkhzcvpeCe7rH3NKA33p/nU9/bQ3zvSnWTEjWBCm4A6u762lgWfMldd+kDG61d+CHQMhdT3gsRR4zPpV6bER1hUoS2/zQ8h1efk2fB/eGdCOfibxjXeONbK2651iAO8o2ZAtpEzQY2LVF8vv/psPnHhzwm+9Zx4n5KQaTDpOeoBlr6jH4kR297Ck70MjNAk0p8iA4eywH6uULU4i8VyQ/PzAmIcvALsVPugT+ch6jyG9UA1Sti78Jigcf28/smnVvCoLG+3u9wZFvKYNHYQ/HrV985ui9/3bUeZypCY2Ucf6FixoGmwhQpUaDJM2AZYDOtXYO6kyCmMKGGmftsizJvnR64LN0c+YCqAzgythyXCfr7bT9nZ6b4LkxgRfhexHN2gDH6XPPkwnv/nyLz96/llC3WNsSzAZWllgLMPPJVXoXKXOX2TvCcUZ89blJ+qHDhnr2ecYZPAuybSlp4CpuunRArC3AB5GwXetZ5/pI2+DQSWfDpPaeSJPrBsHspOD7Xtaj6Z/iPZ8fcO9zM5yJavQDSSs2NBxjQe6kcYgyaVxiUpBnx1AUteMSJAWLj+8omJ/7bEQFjGnzcvdQUXueMXqySnBajsXKJoLWijvufYZdl+z8t9/1HS9+vNPt7281v/FIuG8I8C/ef5Bo8dMMzORGM9x7S907TeDWUjlRADRL6SpdSu/qsiQp2LsiR0pfxmSdNzmwS9ZD2b7KhwOV5hWmyRQps9FuOq35TsGtbC2G70Z4XkTghtTrQzyvz9/c4fA7f7WWg3PTuH7A+qZg2k9o+YaGD420w77m22xnkCaEbP1Kkq4EVp7MdxJ6oYenFJ40eYBJ6atkF3ZWuxHGLjV3yPrJAcv9JoNIpOPWbKzguklq86nU7lQW4JXA1VY+vuElPa6/bI7f/ushH/jCGhbjBn3fpeFKWo6twfEd8BR5M4STJX3yOTQizwJnCaAyqVTFShnoVFZgXWH1sjYfu5fMhvGfZf9tYhxOH+vw2Xv33nK2k2w8caa335hnEOKK/3cANybh7gOvvEBFj75jLV9ldjKiP7TFNVrLEniLeoXstTFViWJ0Ud9g8gsjOyCiJEnEmDTJwG0KNpGl7qAM4NLY8RMV5k5SkMd4jpUkvjfCdwccORvzzs81+OR9Mxw6O0Wr7jIdwJSf0PRNmnrPwC1TcMs8KRSk2tv37IXTaoz4xFcd9h+tEaQTuPJ2MQqU52McjNXhUeywaxt85/Vd3n37DL26QyudPeKHadygNI4j07F1lEDulk6WXRW2zkp++Qf6XHnhCf7is9McOjPBYlyj7zo0lKCeAt2Txl44qcuUr37Zcc3sQ6w+LzKdZqVPnhFTVjqR++YrLcW8i8iUV/GMvYtkUfY7ibGdRXMjj4d3P85PvW3DO378ey99rdadbyhVvi7AjQkBl4ceu3vzqfmHdiT1kzRrEzbVHCsSbRsMKiDXMn0uc4AXMkTkHz57XehtkbNAwQoZbZuKDsyAnQ0MkjIDuE5dk4y9E1wntp07Tozvj/CcEd0k5E8/6vGez63n5MIkWtWYnlBMe4YJT1NPmbuep+9lWqeSSpPUO8/B7dns5SgK2X/Cpxf6TPmpi5MlnTJXIsvCmlJNSuTQajhcuDlE+UO6YZOBJ6hFhlEGcCdJEzXK+tgyKwFeLXhVrJno85Nv6POmW8/wns91eOfHZ5gfNBg4AYGjqDuCmjL4sbFsLq1UcWRR3pBlOVcwOavIlXGHBajEUhl4S0RWgDxLGomKbEmMIDa2pLanBf3YsLh4iieeeHxHw61tvmTny460uzETzfPD+OsCPBmdQDiTa67e6Xx0V/MrrkQSxjG+GyKlIkmcvJQyY3CjdXpVllg8K9YxY8BOAV8wtsCs+klMyQ40xSSsCnunVXIqsQB3EhyV4LkRgRfiuSHtYchXn5L8zR0tPn7fDMOkied5zHiCSU/T8Ax131D3CnAHvsT3JX4qTWxiKHUmUoB7rs18Hj5tuPfROmHk4jfMigAzuxXpbEsEYaRwXYfbru/yoS/12HuiwSCwoxlGrsGLwY00bqhRSlrfWgqkkMVwH4rjmWhJrCV132Hd5ICf/94+l24d8YE7mjyye4K5QYOh8nBdh8AR1CT42YClzF6VxuYTBCWQV2tWxouzyoyeEdS4I5a9LrR3CdSmeJ1oiIwg0jDQgpE2GBlz+Eydf/P2A+5f/953fLQx1X3B/GJn7h/M4HtPr5ML5568sXfu0xM3bR+hHIkjE3AihNQkUqMzFjcCU2LvCrjHZEl+z4CdSpQyg1cKf2yPjmXyPKWs83JPq7sNjkoswFWSyxHHiWj3Iu5/RvCXt7e447EJFttNZC2gWVNMuoaWp6m7hrpnqHmkrG2Zu+ZLAk8ReILAI63Q0ym4Nb5r9bdyRuw7ASfbgU2spPq2mjgp6mdsH2Ra2qAlYeiwriW4eMuAp4/F9COXUTrj2wux4FPZZN0sUQNyrDMnX95TGzJKbH34W28b8Ooblvjy413e94UWj+xusdCt05YePc/BUwJPCnxpG8EdaXepU6K4SJVIy35XYfAV9SvjTF4iNE1ZYwsSyAv0kqwv1KQANxDrNOevQzQwCEMee/LvJq7fdduNL7jk0tv5OsODvi7Aj5046p+ZM3/21x851Pj4rw1xlJueLI3UikRameLoVI+bMXlSAnP+XGc6tATw0gGp8EJFmphKgb6VJTrV3BolEzsQP3MzZMRcN+aeRx0+f3+TT987wblOAxEEuE2XlgMTru3kqbmksgNqnkjvMi05TXW3J/Az9s4A7sR4XkzghRgTcddjPkdP15idFrhSpzpWFI2+JbYzJQs1SRSDkcu2dYLbrunzya+F9CKXQSQIXNuv6qWTpYpVSuV+tZ2jTnFcjbB9qVmjgrZ+e80f8daXDXjl9Qt86r4un7u/zj1PNTnXrjMQHgPPwXEVjrAjPVwpcYVJpZZBIUrSsGofrkLmFResYG6RB6BJibHj/G5lSd7AYhLQsb2bCJIIpYa87gX3Nrasu/nPMEcuBQb/IIA/9PiTzC12OD3XxasblA6RQiOEg9QKZSzAtZYpe2fNvjKXJdkelhnIKycBbO/kKjWBlYCyBGwhdGoHakQKcMdJ8JyIIIgYjhL2noQjpxQfvnOC2x9pcW6pAW6A03KpK0nTNTQdTc011FwIXAvuwLUzCW2ZqSzdRfpzk4Jc5yD3XNuedvCU5unDPrhuusybUopeVFBQDsJsvbQgTuw45ysuHHHZ5h57TtYZBIJ6LPAjw0iRWns6Ze/MTcksyEKr5D57akVqrdLpAy7D0KVWG/HDrxnx+puX+eKjPT7ypTpHTgXsOVknXPaJfYeh4yCVneqrACd9zJg8ly4Uwf+KW+6mFKDWlGQJRRCpDSQYO+k3E+0ZuE16TxJIYkyc4LDE0vzeSVP/l/98oW3ePTOx2gf4OgA/c/aISOL+v334gd+dpTfi4ec8btwV4ngxrorRkSIKnVSeqJwxdA7oMrBlKaAUKagpPY7BO4vUc81nkxpWkuh0l4cE37eTVOMk4cwC3PkVh4Mnatz9UI2TSzUOnmqA76PqDoGjaDiGhqOti+DawfmBa8e1WRBnd5neVQpwUs2dgttN8F3L3vbCCjk8B7uP1HFl1R7MJQpFPXjuKGROik77GmOXy7YNuHhtn2cOxfRjl2YkGDngxXYmoCoBXEqBkLLC5DBuv4k8mM36KKPEZeR6tGohP/iqES+5ssPJpQ53Pexx6LjPFx+rc2ohIBm4aOkQeQohpV0p0q58SZrxhFy2rAbySqBJOUuduS3puzmoU2CbBEisNIk0RAlCJUiVcP2lIV95osaH7j88+XM/1vlZzxu9ZyWKvgHAn3jqsygRfd9F6/c3/uqsx0//9yku3xFxy/Uhl14YsWlKc9EFIzwj0JEFeZJKlQLUsiRFUmCXWDxj6+onM6WIvWDtXIqoBNdPiBLDoeOCpw8p7nyozjOHPZ47XKMzsnPwcD1Uy8VXgrqCuqOplXxg38nqNLKyWVsX7qeyxPMUnifTC8AU2ttNbGbRtTo/8CKMDjm7KBkZH8eReNLglGy2MQIvebvVfscwdhE4rJkOkWpIL3LpO8I6HVFRMOYoXclAynw/IyAbdkQRE2WtZdlgJDdR+fiJ/shj/VTI1nUR124fMQgH/IvDbZ454nHngwFPHw44dCwgihX4CiMVCEkiS9mgPEmxilapiPPMB84edelx7J4C28Gw48IRG6diLt0ecev1Iy7fEfHcQZf3vO8gV1z8YXzv7+mi/OF77+CJA/Nq7sxd4pl9De78ms9gpHjqYMAXH9RMeAlbN8dcsSvkVdePePnVIZgY1zXUGqQ6W4IWxJEFehZIVhi8fMkb0jETtofTdQwIjZCGKDT0h5bRj5yQfPAOn36keOK5gAPHfeZ7HqPEA8cD5aJaCk8KagrqyhAo7DgzlRYeKcvanits0qMMblfipbLE98D3SF0TmzJ3HY3nxmlGNKIWhJxbSrjzgSbtrs/UhMBJvfis6Eucj9l0KSDUktFIMTujePXNQ774yIBj7QYDV1qZ4oAbG9wo86xTj10m1i6kPOtE5n9DG6dSMpEkEi9RJI4idu3YhyhyrZXqRjS8iJdcEXPTpSPeeMuQfcclT+52GYSKD9xZ5/AZF4SkP3BIQpWVb2KcDOBjllE5fVsBOGA0IjEInUkTTa2R4LoaYTQvv2bEq64fcfklIds2x0x4htmWPa47N8XUvXNE4glx4xUvVUsnPxlPbXrjNwdwA7juzJ9+8sv1q/Yem0YLA4GtF5jrwVzXcHhR88DTho/eGbNmOsZowzU7Q976imHea7dmQnP1FSGNwJ5MjMhzYCvPuciH87T7giefcljoSGqB5KHdLp+5L2AYKYaR4vQZDy0cIuOihQuOg/AdHCnxlCCQhiAFtq8MvjK2BtxJPV+nYG4v68vMwa3SHk2Rs7fnajwvK9BKcvb2vAilQr7yuOKTX2uiPMfabRX9fX4Gz7zwJMkcD8Vw6PL6Fw749Fc7fOCuCXpxQCPV4W6mw6MsKWPybiE7xUBQlKHJktYvV3emox0cy+Suo4gdBydOLNBVglJ2kP5UEPPCS2JuviTCiBFvflmfYWSTLn93n8/Duz1qvmC+o3jyGY9OX6YqSXBeUZ7vPGFbA6++OmJ2MrFND4nhra8YcPXFEUbDmmnN9KTBSS9erSVxaKWuK+B1NyR0R72rnImpPwV+8pticGM6QLP1rg9++JKRHiktXev6Z0JC2Q+qjWGkDWfbmrPLdmjMvmN1PvMVeyWaxDAxpbnxqpBmLe21M6vKpOJST12H5Z7ikac9Om2FdKSdiWIcy0zCwc4FdkA6SClxpbBglgZfajxpgeAp8FQxo8+CXBQND45tBMgaj8vgtgyfltW6GYMnpXuM70QYE3Jy3iMcBfgTEi9Ne6u0Kq+Sxcw6eoCydZp3p2u7pctUU7FlNsQTQwaxzyAW1Bw7BDOrIckSWkqWy1tl/rfs38iSbbrInmqdNp8U0iiOkzRvoNK57DFRnKAim0twVIKUMZtndbpiaC7dOiQ0A6SjabcFjzztsNy3laTjgnyFhZAWYzUCzU1XRUxMaUxsV/aassfOfnaFjiVhKrXyxF++NGjCaKBOnWlfsmbHD7WOnh52tm0IvgHAo+MI5bz9ys1fe9l08ySH5UyuuypLDQZkWUcZYqNpZz9Xms6y4fRXGqWvuBrAy/otPTlCoLMtF0hrToUqghwpUysrA3WadpakG7dmvnHp0Uk76RXp1nvk4LZtXQovBbfnkJeYWgZPWdzReGl21HUjfD/i+Lzmr7/YAMfDlaIIMHN5IlYweNkfzoaEWrDZwTph5PK2Vw/41D0DnjvbpJe41GO7Ka2tAjRFJ47KcgLlYC8rXcykkCwVeGV3ndfCOI7CTey8FDcFupJF0szWjafPhU4HByU4wiBMwmxd8x0v1iCSVGYCIts/Y5VzntcYCdCKJHLI5rHEkSSialJkcVzZRhbC4KiYAycW+cjX9r/sB998/O1xHP/0N2Twz3/p47iO9P7w/Us8cXAS4/ogVb7wmRzk2ZnKlh099tqAMiRu+XdXw3fGbhnAq8GLkDJvQVPCLk2uNPjCVgu60r52JGlNRdo9nhUSOZTmoJDuzFZ01RcAl7ls8T2Tt7R5ni4NzolxU/b2nAgpQ46eEcx1AoTj4Esq8kSWv1bpdJelQwV4qdMRxi4zrRHb1g/Yc2bEIHEYJuAnAjcxuHGqw2NyZ6lIoatKp0IW21kLN+uqEiVppHESTaIkysm2L1dpsVqCVDpdKXRhzaYgF9nfxk7JEtLkrlcG9MwBWw3gRXKv/FiYEmWDogB4wRJaK67aPsDIp3n4oQ96UqzM96wA+G+8O0QK2Hd4EsdL8JRccXI0olJIYzFvKo/VC+Dr3ISwF0+WOBACSZEitlOpwBUGV6SgTSVA9jx/LyX7ohSUvMHWU8KCvQJuaR+9DOhZ8JmCO+v+cXQuUVzH6lPPi4iJ+NxXa5ydq+FOKLxyDUfZQWFMkZZT16XKyyzpMxzZCbave1GPrz41pBMH9B2HWqwJ03S6kkVBVFZwJoSm6BzKAs2sajOzDtOZKgYSZf+mowWxEjiJTHexs7U8cQr0Ipmm8wSblLqUeNP5gKcC3KnNm+8Vc57zXyq0gwLIZVAXIKdkUNjtw6X0uHiDZPOaQ6zGoBWAv+tv7mCiFbz4rz563/Wn3SV8AQadfwCNyU37JH+smvnZB/lGk1pyQZIlC4SV9yJNJDiQW20qTRnb+SaFxs1mHapsoGcqT8rAzuegKGw/4moAzwLOTHc7mSwxqd6u1pJ7boTnhpxpax47UAPHsyOgpcnT8zmDU2XxjLkKH7jclypzTzyKXK65aMTM5ID2Up1+rKgrcGP7XVRiByipqAxwm2UuKhzkWKWmSPsm09ohpUm0wNWCREkSpUmUIE5BXi5ey8ohZAbyEqjz/U3RKchJS5pNse7nmc9SMUalfmUlm+d4KoPbjL2vbSmtV5u5fnL9q1589sgb7l93wXeeh8F1yGhgvqPhxVfX5Ih64KYTikwxJi3bAoNyu1JaJVZidL3K9ZQOmy3ADflVnmXFCnCYnMHHSzidrDYirQHPSj1tc3HWqWJlicq7VwpgZ823lr1Tze2Q6+3MErSMXYDbzasTIwQRn73P56vPNJG+gyeFnb+dVxAWbXRFxd94NlNUCtOsJ26zw4Ohy82XD/jOl3R552ebhIlPL5EEiWEUk65c5ao/nco5PXZBnY/JQTuyaC1MwZ0oiVLaMrqU6WgJXSpFLtcAmQLklWxzxuTZIl2SqWIlmZdH7hU1LGk8pksMXmL24nhJwlDjafdqbxh+h0nM/asy+IHDJ5iYaL76Y5+48weWF+eYrAs7UEaXxjwYs6I6zJBVBGYSpbL6rBipVp67kYE7A4AsgUJS1DyURxtkzG23IMlekzI4eRtWhcXTbhhXVcFtxymMMXfas+ml7W2ukzUcxKV7REjER+5qkRgflWcvywFm0deYORsVDc5Yu56WdjpUkgWbDgKXt768z/s/N2JZRwySgEEicGNyFpfSIGORF51lQ0+rN1k6Z6WmAi1InHR0g0pB7hiUtnLFjtmzFYw2eyzz0uTCoixXdxZlzHlTSg70QqqsBHh1ba+AvOQ6ZeXA2d6fdvSG3XWvM1ymNtn7ge27bru7u3zii83JzVWA6yQiDkcXRaP+jnDYo+a7yMgg09lyiTT53pKVlqJsPompAvp8NyFKTF6SJznQx8ozcy0+pjkz0JdneyglCi2eVtxVht2kwHaUKJyU3A60Hfe2MdmkzF0EmE6JvX035LEDkv2nAoxyUVLiSY0zXqdREuDjLkp2zzudSjX1maMSxS47NkZctr3H1/bViJTHIBYEEtzE4MQilW9pF06c6nCklQuVPylKLC5K0qgY5ZHNhHSUzmdIqlT6FeDOaoFMWiaQMTn56iFK4EZkE7NWZ+/VbpXK0hJrV2MWmTaL2HLjbn/IZHe4YxRGF0Vh8sUVDL64sMRwMCSJh9R8O6BcpxPbhRBIDVpkXRpVeVL5YF/nY+fMXWbycaCXwK3ymu/Cdiski7Dd86IAtw0yRd4t7uTglhWAl4f/2G57cmDn2cqcuRM8xyZ2bFdQhCHiY3fVWVioIXzH+u7li3C8BqUgp4pFmDXfluu4c29a271tZqclb7mty2MHWoySgL7yqCVWi2flrEqSgjtbK3TqiZejoVI2Ofub6bzH8lQqe5coXcx0z57LfFv1VIPLbL+jTJrIojlinMHHmlaKdN/KQrsKpkwhfcssniWt7JB9xWAo6HRDuu0lonCY//c5wD/yt59BSsnS4jKu45DoFEjpv64R6KxYiEKiUPmIX5+/M/+/kCdjj2VAl1m8Ml6sYGxZZnAlSiyeyRWJcqoA95x0AJCbbR2YZjgdg5un4nX6PKncHWU7d547Ch+9o8lIeiip0uxl9UIcz2CuWJbzE8iYDs/YSREnDn7i8JZXDfnL2/s8dahGpFz6UuIlOnWPBDIxpeNkbHuZKK+nOv1b1X2LykyeaHByC9GOtlZpSYBKTDGsM5/LIvILOh7T4/Z8lovlKDF5BvKvj5WyLs/qxjMHpTKtIe0Yk9Lh5IkDLC6exehCojkAJjkBclP93e95x4UPPrxAGBuS9A9IaY+PkAaZLxtiFfZeBczl12L8+UrtfX6JInLgjI9DliXGzoLMbGqT42SbvKbaW42BO0vfu1ljsrYzQ/IWsaynM07vEcoN2X/SoRt6oJxUnpix8tjxC7d6QKoDjca88LQbp0j8ODRcwSWbhjy1PyTRPgPtESS2ZttJNbgSdiNXm1jK2FKTBZkFkxdJlKxVzMkHm9r3soGpjibtIDJIXUwIyKZrJVl3f24AFMFlHniOne8MLSsaJrLczyosUOkbqHSDWRxKafA8zXIvwrgzF37PD/5o/dEX/Ej/uivXW4DvO3CSydbiq7TX/MXHD3Wpq6IVKgO5KAG6vKFqfqGV2Hw8oBxn7+xnApvPKQOhAHbRx6hKrKgqQzUzkFPUSKsSqPPnaZJHkXrhFtwWwMVQILcsT8rsrdK+Ti9ksav5n3/bZGEQIHzXyhNpKqtKMTjn62vOyjSBbE5MSV8maR13q+7wM9/d5cuPtVgYeYTSYSAlXtpDWYx8SBm8XE8vdJ6FNugU3BqDpOqsiJTBTR6kZ2BXUqQMbiVRkrso5DKl0OFFO2EhU7LAs7AKK8emtMqtDvDieGUSJtPnAuw+pw3DdOss9bWX/uKep5653yT9T+UM/sHPP0uj5nHvo8c4NpdwwYzCd0vJitIHMWN//OveyoAuvx5jt0KDiwLkclyiVAfT5MCWAqmK8WOqBGpHSpxUkjg5wDPNrfOg0nV0Dm7XyeovquztqgjPC/nwXS7PHqyBdJFS4melsSVrM98jPv2S560mLLF5PjKhJFNiLdNNnlyu2NHnDS/p8Je3B2jHZyA9fCnypI+SgqgU0I0zuSgz+ZiXnEsVBcrYVUEbYcGdTQnTkOTzU0QB8NKjBbdIM5qFPMmdlRKxUQH8N38rq4YMQ0oafDdhotkmqD9rN2EVI3KAL/YbDLRHGPt4spAflSWWv8eHyT54yS2xb2eF+WbFQJmKZ5wHlqJg85whvxHAZQFwVaqhdtK6FJdciriqcEvc0nCgQnNb9nYdO7Vqqa35u680mW/7EKTuSWmDrfNJFLIakXFmWs22y3taJTrJ3BSHqZbin72sz6e/OmSh5xMqh0EiU3tSpO6NKJqx5XhixbJ39pbO2bzQuE7mrKj0eTr2Wks7+jo77mWQi3TnvFxKpvLErs5lPS7G5IqoAlwYhPk6CBuXNFSdGoQhSezeRq1pjyS239t55Ml9bFw3dcHf3v7Iz9556gwTNVX1c/OTtToTrfY5TMk9MIyd7BLQq3exukTJEicVYFdnf5c7XOxwd6rgznY2yJhblZh7BYNn4yaKkROOspnLw0cE+44GaHyEdPLm3KJ6sBw/iJKrUXz5ci1KDnJESZ6I3MnI280SB4zDrm0hOzYMWdhTwySeZfHEyhSn5OIU7Fku9MrqhWRh55qUzU3hk2tZzI0sxzYqNR20JNXe2XkpyCgHtxbpLJVMk4sxqSLG8GDyF2OKd1ViLUjDHns7c14SxgGLC3PI2nU/21r74ifaC7cccYxOGAxG6wOVvDrqzjFR94uSTFmAboWX+3UYfTW9Pf6YzwqhCvKqPBElZ0KUgs0C0JbBSUcBl33w8j3d0lqVwV0CebpfvZuWhmbsrdLXjhOhVMTnvtZk/3wNvEKeuCXrsnLBsnJcxPitOuas1KBd3t0sK6MNHbbPhrzu5j4PP1cH7RInVou7SZrdTapSqWDOsiWXgtyYyqya/LlMn8t0VZHZ3R77JF0xpEhZXWcrrMmJqUj4lJ+nLF1qb8vbXsrgPp9aEDbgy+RNhpes5MF+u4DBoE99jXx1PR6tTxJzxDGpRQS20KjumWLpL8mF6nLydQBe+lnGXCt09xios9fjAVoGaLEKsHM2V6LUhFsCdzqfsNi2g5XAdooBQfmIN0enILe9p66KqNVDvrZX8amvNBgMPag7OFLgiqo0Gf/85e+8KsAZ099jlmHZF49ih4mmwxtvHXL7V/s8tNfDNFwGiY8nyC80lf/9QgeX1tIc5OWchQ0+0wtMWTZPpNXjusTaWVCv0+BSalHS36IU6FZjqEJ3F3FBpgoyoJfBPQ727J0y/nISkeRjSuJEIoWyldzCfk/Hbiwa4YiEZmCbbsf1cOUfHoO2EFXnpPx+ztYrAD4uUaoTTYvgUuSgyeflqdLuDUqktSkFuAuQZ2WzBscpRig76SZMjqoC3c3Z2t6VsgGm54VEYcLtD9R57lgdXBchVQqqdG5IKbgUsnrcyqtYfozKrJ0lzSoj8LIxeDL3xJPEIQwdLt0a85oX9XjySI1R7JFIl4FWeAljnyXzwhljcPtoxj4LKrvYNFoJVGbHSYFRtvQ/0+P5iipB6tIsQ12sGnIc4ONxCWPAP0+mc1XVkDG+MIgkxWtiv7fRHv2hYDhMCEON86lPfQ7HUSwtd5iecCkPal9h863yQpznw4gU1eUTu0JzsxqoM8YuB5jFDgSFNClZhTljZwAvJqfmEiVlbsvYJmdqJ38snrtpcOmoCN8Leeao4ItfrdMfeNBwkSKrHKRkD66SxSx9z/LRympRMp+1Okh+LOFTKsAKI5dmM+Q1Lxzx6XuGPHnIB8djqCVeqsWVthvslqWBSMjlAclYBlEVTo6jKKSLtGyerSpZkK+NBbvMEoFSIHTZTUnPuS6YfTzHsQLgY6Cv4Go1rK36O/Y4J9rnuWee5OCBQ2id4Jydm0cISRJH1Px0ykXmM369Dhy+/tWWs3b+wUXlCl6VxWUJ7GXNnYPc6u1yNlOptMIwrSi07Vzpc6c8H3wM3OndzabQpgX+jort3Ylw3YjYJHz2/hr3PlODwAFpG5rdUglvpTS2fC+/WOVWLVrLylnJm5ETI/JJBRnQR0OXW67o87oX93n2aEAcuxihGAgHNyH/TCIpWLz4CKszeXmIvVIZc1s2t68FUotch+cGRMbo2WqbMng+tHMM3JWAswJy880R6/mQXil/EBh6hOEIYwzOzISHkIIwhG4vLib0p4U4f5+bKF1J+YcfCyyhmLYq8iVdjB2QMWBXpEo5TV+6qzFwq9LdKTZBzQDtlkCdOSfWMbGPSkV4bsQTRyQfvasJeCBdhFB5F5FKN1ItxyplR6gQdGIMYKWTQpm5SxrcCLsjhkpHP+T7xDsY4/DWlw+484Ehjxy0kwQiregnIi34SkGXZMAp1YEUl1dKZsayeAno2U9VCnot0/18sqA4094yZXNhH/NzqEsDO2Xp4q8kwApJUhyvrxdork625boerQVRbBhGCuk4YDTOZMtFSsFwZNCJIoqyTVlNPmV/tZT8+ZaLgrkznVTW4KUpq2O6u5AqIk0WFNZTBvB8Tl4Z5GlrWrHZlN3ZoRiAX4C7wtqlx6yxNpMqSsW4bkyUxNz9UI2nD9TAdUHa4NITpjQ5thxYiRWxy2rrXWHTZUAXJVeDqhZPW9m0Sh2VxGEUuly+Y8gtN1oWHySWxUfCY6jBSUQR+CWZXZgmNpLSRUaxa924dakkGGWQRqAMNvtpBMIIjABpRCFVSkFlwd7pedXlC780132VPEgOWbESXyu4vFJGm200KxiOrE8k0roSZ7Jpg7WekvR61j4SiS171FKk/5CpgLx6DaUctUJ/Z5aQKKLenLmzparqmFT3iBmrPxHke+/kuxdnzbeVhodi6xKlxsBdGoqfuycqQTklgKcSxXMi9p8WvO/2JqPIhbqbyhPy1jRV3iU4v3CLlayiV8Zvpgr0skwpbw6gzWpa3KHhS37oNX0+e2+DvSftxZdoRT9RtsowSZM/CKu/E1G4FaWVJJOiZYBLU2hxmWp0qQ1G2nNkpLAA16VYKWNyXY6lVlnZSoAue/RlEiwwdP5jl12IefGVgSjG7jAXJ5h05XImtr123fLcwV9ZPPVo/g/LdE2RurRsmZWLRPniEiUqL0uVyj4vOVuXJUmZvSmBvGDr8SIrWar9UDl7l4Ats+CyCu5stl+ht9PnUhfaOw0uQxPzibsaPLG/Ztt9hIMSNnPppDXY5ebiFZZqiZXOe6to8MIqzCeDaW2BXQG5RGuHcOhyzcUDvvvlPf7obzwG2gHtEAnJQNsYQeqUTJJCFjLmrGQOSl5YZEzK3nZVUQZM6n0bU4A/A7c0KRmZ6iqWSZYVjlx5dSuzOSWCqBBlCdGVQyfSenqKrVGMxa7vhrz+Nbt+5fprLvwJp71wbHJxcfm1x0/3mZrwczaWWHuI9Epe7c9UAV5l8qr3WTwvEgBl92SsBqUMnEoduKlo7xzoJUmiStpb5Ts9lDaiUmZMkmSVgkkObteJ2HdK8qEv17HzVyx755372d8XVMYLy9L3LgeaovwilyVV3ZsVWxWbBJQ2CsiAbSQ6USQq1eKJw/fe1ueTd9fZfcIFGWKEZJi4OKT1ItmxTrflI8kSPxlzl6STMWkvpJ2NlX02mYHHgDRWtmQglsb+DaNTf1ynAWplda6CfVVpUjEgVuJqVRLPnKfS6uO7gpqfEI5Gr927/9ykQxwidGSPvSlsOpP/C+cbSj8G9JLmLj5wprPK0fSYLCnrWFl9XmFxYUrBZel5ztgmZ3E1Bm47kVWnj9YOVEqjMr9bxSgZo1IGT1TMZ+5vsHt/ob2lkNb7zjtozsNQjL9eeYpM5Xm1AbniiZeK+x0tbG2KLFL4YeRw6UUjXv/iHgc/5BMmCoRDIhwGQuAkqX1HFuhmjooofQpThMDpOTdGoExWKmqlSc7m2V2YIsUvQEsLfJ3JlJIPXgZ7GcgrwF4GtVgN1ucBeQngIq2fGQw1vX6Cs3Gtiyc95s44OI4spMjXkSZVYGfPBdXlpWwHjX/BlYmA1Zsbqqydvc5YOwN7xtw50FWZyQvdrbIgUpakiSyG5iuV4LoRh04r/tcnWgylSzZBq+iaT1eQcg10WZKsMHLPc3KyBEueJjdkLWzlzhVdSt2X61MS7RAnLn4S89Nv6vG3d9c5eMoBFaVSxWUgBCqTJ6kez4PNMZBn3rwBnOyCS9+TJpUomJS1M09cV9jcpH9HS4Ewxeqx0kxIgV8CciVbPgbu80m91bZNSTT0B4LT84qRdnAmGxCP7I6ysVb5mK8syPi6J6oMbqpXKGOJnPx5WuW2GgOWgS3GWDtLpFTBrQuJIqsM7lT87Uxnl/V36S4ti7tOSCfUvPPTLU6e80E5qTUoU3liKr53/rz83SssVU10nY+FCvbOGg/KPZpZCl/m97wZQiqS2GHTmhE//oYuv/0+j3Zkpx4ZIxlpZW3DJPscBhJBYRsWIC/+3/5EpQhK5zcVj7JwfKQ0BYOb0rlL9bfJGfw8AWdptdcZkMsY+gYAHyeLzE3p9TXtboxyI5zDpxK6HU0U25LSLPAot6SdB9f55ZYTV2m5qQC8BO5xMIwzdwbsgrVNKdg0eWCZNb4qVQSZjjQoR6eMrnNpYuWILkmVjLHj/NFREY4f8fHP+rzjYy1G2rXyRKhcnuRNxWOWWEV355JMrHbEVmWgqlVYBn2WsjdorYtNvvLkj90KPHBifvLNPfYd9XjPZ6wWB0UiJENtezdlQs7gRQFWdrKK1H3ZrrSgLiSLMSmbi6JQzJKOLXU1lcSPlTF5XXqKB10muQpmRBU/JeycL3Oeg7sEcq3tznGb1go2rJM4W9crFj3JwpnsKsqucMF5CXyVQGDc967aQKtH0ysLc8yYRDGlIDPdoru8ZaAqip2U0iWpkoG5xOSyqA7MdXf+aGcNLi7B3365ztIoA7cFuCut9nZEVZ5UVp3MLiudBbHKWSmfjPIJyh2Bijyh2HpRj9WJS4nSCq0d4sRhwkt40yv6fPL+OgtdBTICrYiweny8ulCMn9DzMLnNAxVJoaw+JQs2TcriOaBTn1ybledcZqWyxq4mWpYH6JtVsVSRvedFefW4jkLD6XnBSAucRj1k2I9tj50u/kAWX69YHsqBUwm8UGSs8g8qV4J9RUBWbnsShc4ugGMq2rvYD3NlUJkNpynAnVQCzCzIzPa5cUrs7dZjPvuVgIeerqFL2ts2NWTypFpvkrdmldi7YhGWfnb+nHN5+/JCoow3Q5Q3202MRJnCF48TF0fH3HRFyHfe0OevP+eBCkFIjBCMtIMSwm5Bkp/XAtTjcoWSRFVZj0RmH2a1M7JUKCbtjJcKcxt7wZsSBnRGYhlbm+xnRQp/NeYuMFXFXQXspQXJGM0gjPBHIc7uw4alRc3cckKzbivDgPyxksApg7fM5GLsBI+BOo+Ys4tAmkKqjDG2EGPsLarALlyU9LUyOOmIMSlTx0SaVFeXJEnmmMiSRJHWPfHdiIPHJO/7bJMzXc/udy3toHclKHZsGIsXVujukuY+L9tUiWeFEzDejFwONk2l697un2Mf7fYn6xoJP/ydPe5/2ufgWQkiAhQayVDI0iZSFlQZqEX5hJZGguT/n2cz0/NQZnNhn2dgzmRLthIbU1o1Uo9cl1eSPEbLPkfpOWIM7On7WV14BYP2PSUFs1OKnVsFs7MCp+75DD0PKWWRhh+XF6tdVauAe1yOZIBGUFoiq7o7W7ryA5/XV5eYW2WAHwN5PiN7/HmSa+88oZONA1YxSiY4qS3oeRGjRPPnH25x72M1G4hIx2pvKW3Xjijmr+SfNVtZysdrFSYv47yM9ZUZzMK1KPZ4L5fPlstobbuZzhyVRBNLBxU73HJtyE+8tcOv/bnHKJa2EVVL4tRVkVqUPptJQVSuxbAtaZQ+n30tSrFB2l2fJoF0mmDJLoA86MwvejPmtKwMKMv4KbS5qcRyGbiKRokU7OnvZgSjtWAwdOn3PZyLt0Wc8hOOHi41Howz0zhLrwJoMfbz8occL34vWLA82GcV9i7tPy9XkyfS5N3edttsXZIopbG/me5OZ1znwaWMcb2Yux5x+eS9dUahCzUn1945e+eB7crM5bj9VV5W7f08rX5jhU3FVNUyuMGolNF1tVY80RKprVTJgB7HDrV6zJtuGXDHvQPufERZ2xAJQhIJh0G2iqafsqjkS9laZh6LKX02UoswA3X6OSWo9Ptlr00KuAzo2fk1QqTMXQp2JauSo8nwNoa9lRhML05jv5SdFSAYhnDsbMLCIMZ59qBhcVEzGGlajaJFbDVjvszcqwWR1d81qwB6JYuLst4ue8uy5Fhk+jffTz1NlefJnQzIBbAdNQZ0VYDbScHtuRHLPcNn76+z93RgpYmwJbEi096C0gQpswLc+XfLj40oAf3r6JMM3IY8RV4pny1LlbHEz3i9uJQKqROkdohGDjvXR3znS3o8tNujHabpV231eIgi2wdCpoCoNkQUa47BJnfyC1Jat0WlLW0Fm2dSJU34iLSGPAe6oDxCImdxU4A0B/B5iLRga1OM/jMFqWQ1MIkQ1H24aLNgZlbgNGoe0cijESg89/zSQ5znNauAerUVIHNIMnbPipQq7C2yoLIAdgHuzAcvgkuZD2Y3FcauBJRZIqfsokjbKa9J+KvP1XjHJ5oY4Vjfu8LeFNpbrvK5x5bbfNmkqhHPx96VSj7GQJ0z+cpWtnzTXa3RiURL64srqYkSF6k0P/nGPgdOubzjkw5RXIBcIxgJidLZIIkSWjKQ56BOdQV2EcjhL9KUfsbmpJlNYf9Nk67OJgd6lvlNc6ilnsqiha3Uapfjyn6u1Qm1ALsQgiT9Pa01UWjo9BVe4OBsWZ/Q9BLac4Yw3ZZwNS1uu6THg0lzfvCP/3ycwctBZem9zOPOmL2YiZd632OOiczArcbkydie9Srde8Zq8AjXizhwRvLJuxv0ei7U1Er2zmu+S6uLKBI8+Xdm5fNKgPQNGbwE+pJkKc8t0Tqr9ygBXWZAl2hptbiUDlGU0GzEvPHWPrffV+PA6TSpYAdUkwjBwK419jPqFNymALvJQZ26JaTJn3zByZyULHVv2Vul4CvkSRXoGbDl2CqfH7scY6Ly85y9wY6mM1XsZaBNtKbTDTl+ZkQvCnFmpyTSwERDs9i1efzyyVrZZ7jKhzofqCmD25T+nTIDmoo8Efnsu8I9ycGdMbcoD2bPnBNd2W5DlmSJlKljkjK548SMIs0dDzb48uNptaB0LcDH2Dsr8lJCUAmGs2NT0t85k5eY5pu55Wyep+7LiYs0e5g5KelWJFZ360KmaEkiJCqRaKGIRg6vuDrkFTcNOP55l5G2OjythCLGYSiwFYcUAV1mYGepH5UvQ5mjktaKC3LgGyEKsjf2nBqRBp4VoBcBoc6TPcWsHCHIeyyrsmXMcUmsvygzH90UHUFaG7p9zSByaGoPR/oXLUdJfHuYyO8aDMkntpar+fI/+M2yNSv/m6r+NvmFUyxfGehLjJ0DOwN6sctA1Tmp6m+Vp9+T0vMYKW2njvRi7nnE43feO0FinMI5kQohpN0HSBRp+SqDlx2f1dl7VZ/2fMjOGHCFTDEVuaLJpl6lxViicFRyTS6tNy60QxxrPC/hl36kw94TDvc8LNGeSCFrv0CkFQPKgsqUZMkqmjz3wtPVNvu8aUCZ6XCRXgA6l6wir1PJj1Pmk481QVQmYAmxAlvln5nce8+cGrtb3vRUwJYNrdsv27V1WXmN6d6e/WcOLrTlTySJxnVk3udoH6u7hlVrtEtpdFH+mckbFMYLpqzzUczTy92QvKakbAGWEjmlgDIvqDoPuMtSxakkdGyv5YlFwe+8b4L7H2/YWRnStqMhXRwpqEnwJekmV9Xm4pX3tAE6H5JTHUak0nYvqcYapku6vngtShe9WXlcMzIozQEU41Kv/DMDszMxvmN46CmP5UFpKU7DzGyKeFFxaBEkKsD/Zq7W0oUwJr/KdYuZPVr+3XGrtLxdYMU+rVT+lTI7KeAdJan5ku1bfHy1+MNnT+3Z6xjtpf94ghBhzrZFzUcRWFU10hhzV1h9XHsXo7zKiYaqPVjeFqMqTeQqmjvbYWDVuyoHlmkpbPo88RLe9+kJPvWVBiZQIJRFp3AQUlb6LYv+xq/TMV9inzziXnnOV3jgZux1GRD2ebXbfrzDR6fzA03K3MbookZFSKRWJMJBDhLe9LIBzx1yefu7HEI/LgVRAqNdRqSNJ1l+PbEmtsEUoExT6YY0u5k27KYGkA02M0ZOZYu1B0sLQnpuDaUgMcNIUpIjefBYZmxyDGU/K1bK9G9lx04rTOJgtMapBakCMxolihHDZTbNtTOF1ChdPIy3bMkVWr08eTRb3quSpAz4CtgzhhcpwEvau8LgMik5KWVwJ8hS7cmdD/u89/MNhkk6BV9k1mCatRSmor1XTc2XgV65sMfkSgXsq7OfSYO7zHtekdHErCihNbKU2ZQlZ0UoW5gl0+IsqUm0g+9qfuR1PR540uPOx2XaziUzjYg2DiNt29HyIpJx6zBFai6lhECRSZMSyLOmh5Lmzn5HlBI95YBT5KBnzDURuZ2YB5xZel/amMjWqcsUj5owkvRH9u8kWuA0Avs9jLbLlO+V6q1FsTSutAfNKid3XIebCpgrjklZj8tiIyNZWaKz5gJdAL2iw3XVAx9nb5kUAaYT0R/Bb757gkMnfYxT7JZc0d6ZRKoAewzQrALmHMKiiuevI8jHNxCoZjTLxVdlPb6yNkXLtOJQlllcpb21DjLUbN8U8Z9/tM0Dv+DTHaZfRsv8cyU4DLMMS5Zy1AXIjQR0CmpD7rCoNKA0krQrKQVxWpNSJHmqq1+R0cwUQHWsCKVAs2y95vgyJv03LTkXDdoat58QJzY+cS69eAqlFL1ej4X5IVLKSrKlYoeVmBuybGW1KKscSJSbAcozows2L43eXVWi6JIPXtrGLmXznLkrrklpd97U83aciDiBP/l4k8f3BNbzlhlzF86JK6qyRImVF3cO9rGLm+xYiGLo5mp8vYLJx5yTogGCopjJ2GKmFdWGwjJ4HnRqaUGeSLRI70kqVbTmml0RP/M9bf7gw5OEScrikEeFCYqRzrR4mmsvgTyXKKKU5RR2g15TZnMJQhfMLdMps3mWU1DJcuZAz13KscIrUSj7gmALtyUbQhQLw2Ck8eseTtAiIcG54ebX4gd1jh1+lkcfvB3leBXdvDJNWgV5/sfHLgSxAhxjMmUM0AXgzZhMqe7PWLB3UujyclKnck8DyyDhSw/6vOfjTdoD13qAqeeNUAghUuekyFqWS3nLOrywOleZQVgJy0T+WowDeoy1V+C9AnRDOQFUsHY6FTaTJOUkkLA2YiIV0mhbrxIrWoHmx97c59Fnfe74moJ6nDJ1wVixlgxzvixAbrClseS2pfW801jVlvVmEkYXLJ3JlzwYPg/QqyuiyUKEfKRyGW/2z5oKNrMxGaNRxOuuv5brrrmKTreLg3ARwsPgIADf1aWrZHxhLZ2OMZ05Ps1/POAskjklvS1M1QcvgbqyXZ0odti1AE+qfre0VqDM91W3gaWUMdKJ2XPE4X99tMWBBc8GGKnfbR9lwd4lR6gC8tXkSUWajE1rWqlGqiplhbtQZvEisZI3QrBaGn9sSFBWiJUu14mWiEyqCIOQDjIy7JiO+em3dDlyxmH/SYFxygJLgHRJUpAzBvKUXlNgp9JF2HVApeyeBZpZLVLO4iXpshrQV2TOsz+HWXE8M82ev502Lkhht0T0XIda4BFFHo5MYw3HMdRrMbVAlppgv7mFdpy5qyAvA7sE6or/Xd3ESKUypGDyku5WOn09nswpgK5UgpQxnh9zpi34zXe1+ORddYyrinR8Kk1WY29VugBXOidUCaAE7Py8jxHEOI2b8YNpVr63sialrMMzQJcD0KzzxzK4FNnzNPhMNDEaV1pXpT2S/OLvK84uC+yW1sXd4ORMXsiT9ELLHlPWVhKMzuQLhR8uimKrPMiU1i0xpQYXkZbclmXvOFGshsKKC2WKjqQ4MiRJsRI6vifwPf/MZDP54gVbaq/udnvEiZszhClpQvsPV0Ip8ugWYAzgmRQpJMrqIM/BPR5QltlcpODOgkuRsbXNVMrUNbHPba1JiOYzX23wpYfraa1JZgnKlMEz9i52DS7PGyxrxBVlsSUtTuln42cjB/+4Fim9V3VOyr6vBU9WpVeuNJSpm5JvqycEQqSJn9RZkVKijUrfkwhjKw59x/CqG4a8/kV93n+7JIyFTdtmH16CwSU2gmHaGWxEWaaUNbkd2WxSZi+uE1uQlRVhGzJ3pXgUpKA3RS24MVUCEWb1w1ZtVbPxySjUNFrT9ELxRc/3zmgkcnbdxcwd//wRRe9/tibWomSI7yalnX5NqSqvVKa6yr38M5uc0elGpeX/tvS8lKyRsvo3pCyBWVbBXUiRkmuiMtfE1pvEQvPpu2u8/d0tTsy74CnL3KXAUqTgzrOWYxWNlQCoMvukpLTLjJ79/5i0K+vycaCvhntKPZHFvpaFJMlJJ5uApWWpMUJidFGjYlP8tvNHJ7bFLRoptsxofvFHO7zhZX1cEYOOwaSP6XOjNbGBoYHQCEINsRbE2aMRxd6alefpvbLBbLZjNtXfK722K1C683I6OrDYRp50pCAkiSFJDHFsd5YLYwgj6A8TtmzaQLsf/c+//PBXjrzgip12j56ltkQqSa9vHRTXTeyHStKdBkS2CwA5i2Tnq1hGVg8oczYvS5TVAksxtgd6JlNU4ZrIkhTJwC1LAWVmCbpuwuF5yXs+0WDvQR+aKge1TexY7Z1Jk7zPkrHa9HHmLt9l1b4qsn9jzF15XYi71ZI9lrX1WMKncFFkzlrV9L0UFuRSmNwbFzmzy1RGabRQCGO98Whk2LUj4kfe1OXhpz2OzJWWKl1ici2IEQyFDS5JR7gZXa5DKXR5XqNSVT3WzpP2Z8KsYhlaAUDWlW/ZOzW9S93vlSrL7CJJ7AVmDHgqJpAhRoVAugnVhi27kKpOvzFg+fRTxNoQx4owUojEVp+JrA5CFNr8fO5JAfbyVhpVSzAHd8kiLNuAIg8uNYWbovMAM5cl+XuWvR2VsNgV/NH7W9z9eFBUCWYZyxTcSpLuUFweg1xILFU6AavZgqsBf2VQ/s3dyt31larCyjKcSRYLqFymiBL4S5lOKYxtMND2WGuh0oYDZS8joUn6mpddPeLfvK3Df3v3JEuDkhA2KdAlGO0QS5E7KBnI0RbIZIBPySL7jKU9r/K54kbYmTjZjJXxY5hRQH44V1nxslEa2cDNMIZRDKPYZdOWbdxw3RW0O4PsGoXJqXWs3bDrjuXuwd9xgxGTjV66R7vO0+JFwMcKWbLS2ivfdamWJGPgMTmTpd9V2S0Z68pZUR2YPY8rCZ2hNPz5Jxq86+NNupFrC6ky5k5dEyHsmOHMOakUVWXAzdh8rMgsZ+pVwVydc/3NIH28uz4HcvazsttSsgsLyVK2EMcn01qpkrW3ZQM8tSn24Gw68BNv7vKTb+pS03FaL509RiW5YogNjDSMtCBK77ERRJlEMVa+FJKleJ3LjLJ0MeV692xcXXHP/rtCohXgzn4eJTBKBHN9EHXJycWTv3PtCy69Y/PmDQXAa80t/Nrv/Kf++z8fHj54qo7nZrpWFyxLiYkrLkipjqSSXi+APW775XKk0lpWMHZZl8sM0CpJ/7sskVNlbiljcDXPHXT54B11OlG6QSYZsJ08wBSk0iS/m4r2ViVAny97mcsOsfJ9Sv/NN4P0ol1tzDJMTbLyXpbFRVDd8TfX3ys6f2QJ8Mrqc63QRmG0Io4UTcfw/a/qcenFI2RS1uNlsCcFyA2EGqIU3LHJdLkFblzR1qKit3VFixf6XOsxsJdBbapAL963fzdKBMPIcNkFilsunTv87vf+Sn/n9k2FRAH4F295K1LV6Jy7g27/Ljw3IYwccjOTVG1WLDGzUp7kbkm54q3qoBSypNDdReJHF+/LscBSlLKUY6l4x0146pDLz/z2FE/v9zGuLGRJzuCyZAuafJDP+E4Nq1mDq8mUSmJHUHpVHKdvSq6Y6tOqLz5uF9oNCqwTYYErTSFZtLDz1bWR6faRBm1k+jt2QpbQ1htPMNb5Cg1XXRTxp7+4zE/8d8HTB9LgRGYfRhTLSSpXMqngle3DrKUtlSjZqmhKEibN8hePpiinHV8tV5hSK2N0tIFhDI5KuHTHtVx7/S20u0PgvxcMDmCcKYLGDHc/7fP5h4ZoHYERxEm66f3YEM6yv52BtlLxN55qLweKJdZe4ZasJk1ksgLcmR1owa3pGsmffaLBE7t9ElVibVHUm0DJFqyAuuqcZKw8PndwxViICtgLVv865SerypMKxktZzHFWX8nsKyVLeb/NbDJtVp9ixiZjWQvR7hwhEsk1l474V2/s0ZQJxMmqLI5JIHUzwpTNo5S1c4fFFJKl6qawwk3JZEsuX1Zh6yruilJuR6bD/Z2E17xwju+6ZcT6dZNcsLmZ/37O4HHigfAPJMnswS89duGO9dN9Ns/6DMOiGS9n6LGkTaVoSoz/rKTNBYgsiBwPMlNvW5QCTZVlJ1P2lqoEdhGjRILjJvQ1vOeTDT76pQajDMxjzI1IHSJR3nJvlX12yuw9ztgl16iazKnag1VkfyN5Ms7eRXnquA7XkI8yLjN6IVkMWls/PGN1YQQirVERRtruF2Psc50Gncbabp4wvOUVfXYfdXjPJ5r0IuwB0ykVZo9pA1uiZRFIpql6TbrPUHpsKSV9Mm88y9Rm2c2CVNKET9oHmhFJNi2sHNgr7Hk0GLavCfnhV0ywcWbNwVbdPxCqKD+mWZsd//OP/gff9V23HLxwU7B2br576/JiROD59oOXzlm5KnDFXBNZ1eflDvjVg9C0/LVUSFV45WUNXhRWSVFYg44T04vg3X/X4L+/a4Kzi16pOyfLVmavJY6wjQxepZEhS9EXQ/WLzz6WtpfVvSDHt1jJtl8p9hVKh8Nn7+U/o/LvVAq5SjMa82I3OT6ldZVaH0r/Xfbz7KLLf8eslJWk76clAZOthOsuC+n0Bc8edGwSqJKeNZWr3CCsXUlZopUubJElB8d/JlZc4PlPhCj/C1WpmJ4jV4LnCqYakh0bBBs3bqWjd/7JgcNH3nnppTesZHCAo3MuQS34nMB9gza1qzs9DY3su2lk/hmrentcR4syYwurtcvgL54XWcoycxc6PKnYgwW4bW23DAyf+lyd33pnizOLaTJnBXtXM5auKAFZjO2zU2KMld534XNXznfllI29+fe8lTOa2Rsmq1ZinLlLQzLTbKc21s61JaSiYPBUtgiRsTbpo0xBb1kc7RCFhg1TCb/yYx0WOpIPfLYJQcqqK5jc3jSSCFtk5ZW0uEnZXKVF3OUUfjZ/RWZfTOYqzJZuC2EbJCgdj9KFrJTAdwX1AIKgjhDeE1ddrD83HMaVY6rKLz7+ob/ira+96Nim2eTGVi281oK6xDhjVqEqM/EYY5ctQKl0MVdkRbayVEQlyskcfV5wS5ngBJoDJx1++z0TPL4ngEBVGVuUa70FrrQlF1nHTra3+2rtaOONDipl0Wp7Xvl1weQiZ/Z0M63zMLgorwQZc69gdZEnlCp9oFkNjyy9RznQLy7EDId5aXPO5KX/JvudjJ21YWJCUwsMDzzlsrgkq0hZUVWWsbFlc1O60AuxUX4+zt7nYwVRybMUnWa2Mcd17H/XGSjOLfufve+hE3/y/d/3E5V/QY7/kzdeW+Pm6+pMTcaEkSEpMUp+YMYzkeVgsyxFsgSNMEWqXZQTN0WQWS6cslq8sAjLskTJBMfTHDzl8F/+dJK7Hg2s7qh43WX2tp53NgbCKU3ZKj+ukArl35EFc5yvkpDSslpm+nHAreaS5Ed3vDal8lhYhmV7sGyZVTR5qSjLYAM+k6X0s1ETY155YmwqX2uFHgpuu27Ib/xMm+2bQms450Fm9phZigl2cFFhI460INSFfRhXntugU6deeJIHpVTu2XTdPOgsXRSZXHEcQaJ8omA9UbB+xSXijL/hTb8JpVR4aunTdAdHqAUlZyDX22YFg2ejHiqFU3ngqUtlskVRVV5cVX4UJWDLZOx1jHI1R845/Nc/m+Cjd9QJRdpjJ6r9lRm4JdYxKeq8V9l+e7xjqaxbS+BkDLhlaTmuMlcjo/y2Wj1KOSttxn4vK6HNHZVqnThZCUUls1k0QkidamVhA06RZ0KlzYrqgsUzyRJrCJyYt76yT6LhV/9kgqPnBLjpL2oKPZelKVM4aSOI0gNi0pFqDnbMmw1PiwKsPOuZSxgboFakmD9CyAAALZVJREFUUFqqIMqZ3vR5w5fcdMMWXvma14U6SfjjX/sGAI/ZRNAMfuGyXRdddnjf2Ze5spvvIlyRHaLoixxvUBCraO3x9Lz9vUKDZ7pb5AxeTuykaXgn4eicyy/98QQfv7NOKNOdX8Vq93LGsjS8Pl22xz3vwucuTecqIXfc/66Aepy2/wG3cVyX68JXpu0zxjd5GlyMsXf2nihpcavDyyCXaZ23KUSGUHlDcRwbXCfh+18zwFHwy388ydFzHukc5upFqMEa7/bYayQh1gqs6HJj9+zRpfOhhJ1bqGRJxmgLcpHO6dHYHsxEgNSGRAtGkUaLOtOzW7+yZdPmX4D+iuO6QqJs21zjzME7O2tnvL0bZk3SrBUp+5VbhRTgHu9sryRoSk3DRZFU9n5SAbfMwF0qrJIyRqqEU4uKX/mTCT5+xyrgXmELWl3symqXzmrsnYG5vG8QjEuRMf97VXI2VdD/PdA9HmCO++LFmyLfVSyTIJnc0VSH6BcVh6KQMLqa6cwrD0spfZNmOrVRxLHESeAtrxzw//uZNhtmopInPuaP53e7H7lJpUZYkiyhsT65vWf+OXmaP5cwaXVilurPfHZbTWj3xOyNDJ2BTBLj7/3bT32xI0TjGwM8u+l4+Wemp8xTrjNWG1K+y9LuZWkSRpZ+bzxYXJF+lwW4pUxQovxegpJR6phoElfwzk83+egX6oSqDGhn7LEEbrEyYzmuu6u6ugDoauMhyv73avq62CtU/H3xXc1mrkjqVH3vcgIoT/CwksGrJbZF54/V4gWwcz1e0eJFSl8nEicxvPU1fX7sDT2cJLEoy0GepvZXAboxhlinNSwGC3JtU/xRqew2HkvdZ7q9Ut9SuRsSI0nc5lNzi92fOd+xXRXgl73gVZw6N0wWw11mseuBobLPe3lyq1Opx866cXRaA15m4aQUNFYrBLOyV6lKNmBWRKU0OIIv3l/jQ1+sM5LpVCJZBnSJvSmkSbGvTgnQlIFe+MWrTdQtJ3wyUi5r7TKgs19YUSb7zYC79IsVmVJi9WrQmV6KlfqUErg1FdbOs5rjwWf+WBRjWQZPwZ2xubYg97Xh+17d55UvGiASXWQ5y3XkK+46DUAtoEdZLYsRRIb8HucFXDYzGiXp8yR7nT5PLOAB1kw6/LPbLjITLZ18zxtfs+rxdc534Hdd8UriaPChpH/8kkAeb/hejFvaDqSQEKmepggghbSnoKLH8zLZLJNZDi4L1hZl58TRCAf+7t6AX/jjSZ475KcNw6sAO39dSBO1IrAcS1SVGRxTAXSB2WqSZVy3VFL3Y6D+huAeS2OulCei8MApB5ZjnnhexlxuUDaVR13R44CWeYJHIxCkAaeRoO3Fr7Wyga8AYQwmgSt3RPyPf9fm5xV89t661eMVszm7NNXYe3bzlAS7uiQCXGE78p20nlyV9LitxhVpQ3W2EhUdTQLD7MxM7+UvuulDjXpw3mN8XomybesGE+iH/+iqKzb9P+19eZxcVZn2c87dqqq7qqu39JJOOvseCIGEBEJg0AAio6gIg4PONzrigA7u3wyjo+j3jQiOu4LLqJ/DqKMsE0AcgWExKGEREYgSEgJ0IGun963q3rrnzB/3rLeqsxEI4Hd+v+qqe+re21W3nvPe533e97ynr7lhBLkggu9V4HvJdDDPjeGpRVT1igpUFeExwuwmLTEdRydW4CYGuB2SnI+4wC33ZfEP3yjgyecEuKuCODY1IVQ4lTBWZpD8G2lQ74du1FJVUP0wG0m94NhP4/vpTydfySwlYzvN162QPVDFvdUyKCYfN7m3mbdiyIdyhlAsLXlIsbA7wlUfGMY5p4wnXIKxGvTEoDCKviTJJ1xwcGnNS4ygzMVDcnVGUI71I4wJwgpBqUIwHgI7h4CWrnl9N9yx6WuNLZ2TXupJLTgAtHXOQyUaBBtzMTYWJkELybeJIf9Bzqkz8k+gXxPDYhNl1YVDSaSaosGd0BLgll9n8Y/fLOAPz0wGbqotNyjkFDSfVJd/MEs+WAU0DwR2E7MpCbFG8qCB9oPn4Tz18yhrbbyvpbHEqqtIoWXNuVZUSC1rLrMMmR3lFKFFIv4J4TQRUsRkiWTFVp0lgxBYMjPC594/DM6B22pacjn0qH6DJ9mLSdiSKDUlBlBRRgiikm9ypMtFnwjPuyJBy8vWYdGiuZjSnN/vtd0vwGl2ahnRyN96ue7r2ejWumSOZkVZZzO/UJe7NaNlKXCrQSEojeDjqk9YcbgEv7g/g8u/XsAfn/Nrgxsp602JkSloJFEpq62npNXi2JaVTvcZWrd+Tq8do/v05oEhLktyV9ETaOAmPAFaD4dJP0yOrhUVbeW5oiWJTGiAXcqGUl0Rwrb6DjTRyEEBwh3ETAuKCDmWzoxw1d8Ng3Hgv+7Pal1cfhMufjcFbgfqAxK5c/J/ZcW4SJ6C6PmvFIDHEhjkHA6PcCyc1zXmOvRvF8xqLx82wCdGJ5gbLH4425Qbjnd/sy4TDCHwQ1ASw7zuZjVQVRhI5BpLS29ac0pibcWpoCaIQRwO7hD88oEMPv7VAp581heThQ1LXSULJuCmRAd0TDmwOs/btt41Az2QYE+XE7PLh0koK8BPxltSfSkWYrxBlLlOp9LaTqcBbnMwMOMUMjgCDXRLI5c1DgUXT6apJVY8Caok1l6mMRJhIJL68UkeCwtjLJ4R4QuXDYNzgjs3ZhCr7yystfzQCtzitwTVQBcXTq6sHQsdPDaGfBkclFBUHIIZRReX/eXa4cULZjw8ODTKDhvgjt8Bz3f2TZTD80jd4nv7hm/z5k2LQQjUUnYxd4Q3nwI54bYVh3Q+mQ7ykMRqy0APoxR3/zbAR75UwFPbBbjpZM4kVQ8CpAI6Zm2TVNadab1R25LbIK/u099zEl38UDTCWiA2+43OqgAnDEtNzAHA7eAP0YlZTBS8lxOTa+WUQ6TVytqFpiVPApcchAnLHDIs6o7w5Q8P4QMV4N7fZhBT40PLAJByPOVrGaYkUEVTQIwvx8SXTiRJhzO4hKPQWsEb33BKREh0XltzYV9rMbff67pfgAeBi4d+/xRaGrt3PNwz9sxPb3l8/qq5z2PlwhAnLS0j47ugsQcWO4oP6tJu+jkBOjPoChNcXGjgDgejFHc+FOBDX2zAlh4/IVwmuGU1VElLoEveUmJQE6Rn55jRy1rWezLKUl12rSagTeCnR4De5YDgrhW+T+iJUcY4pZJYIXyle8Ow2kkpBrmkiLTMtrLCtaXmTNEVDplDblvyhK4kRYbkB6WcYd70CN/42BA++CXgrgcFyCXXkKOTSk4uytASJp6JALS4yFz8MxaDshCFIMTJx4zhuLkTOGNlASes7nzGz3fsCMM/IggWHz7Ak8/v4Ee/eKSnraXhvW2tqzZ89lsTaGkH3nNOPz5ywSiKOSDkHJxTe+lv03JbXFw7loRwOD5HTAjuejCDD32xgC3P++B+2mqnaYrk5MSaoTNZPe/qcLxpmbndZyCyirakQF4NXq4Ji3p/cnhb0UpjN6tshNmn/mOSCMLBE1pi0FzleMIeDIkB1laaKBpDNbCFepKAWGTIylwAUIByPSAAI1cEIGWGedMifOUjQ7jsi8DdDwZgMUTuityfGNbcONj68vJ1Mquoub6ED//FAN79xhJaCmWUyOsQjgfvLQ/f11OceuyB4HtggJ+4bA4GhkdRzNftIojvu+Phzafs2VXG3Y9yXPi6CTR2S2vNLf5tWXDClBWX9IQQDuoD2/tdbHzUxxXfzmNLjw/u19K4TcdSg5sIUPsEcGFybxmWr66RaFvrGiWgU7RENSOaqYpqmnTFGBziq08Szp8c7MqSixNxg49rbm1z8MRBNWgK16CXYE+cSXlXsPXxhLtLBzORWU0HNJmpQ0VCVlKKwsoHF4aXEoBEDAu6I3ztI0P49LfzePD3Abb3AfA5bCCbHpzM2jI8eq6vSGtLBact46jz8xgc6UCh89j76hrW7eJsFITuX0EBagg7tdpVV34OS048u7+lMT9S9Mn55dHtePPaMaxeHCJwHb1UnJABTQlRh+KZCvwQwkEDji07PHzuO3l89Sf12L7XS2oHWuA2KInlXFIFbo/qcLxLkrRdVxbyMcuxqTxuWdxeb9vLictZI3rNUJ2nTawZNjJfWy2RJ/O/5TY1+oi5T20155CeAVgrTFB7YKbpV7qsXlWgyjiXGtDGyFXHmUM2zdcIQGKgpSnGqSeEaO+IsflpF/0DFHrBTRiSUdrzMM+f/PYMDgLqw0cD6ppOR64w52MTw9t+nc3POxjoHtiCy7ZyyTQU8vmHM7y0/piuPecu7hpE1s2jFEVwnQigFYt6yOoeJKWigAA0AJ7e4eGz38rjxjtzKMUUCEwaQmq8NusKat5tFu6pyhYEqlSSyfrs9FfNP1R3jRi85ugpL/NFtrTCUh2ZNJxKpOVEYbUhClvKfZng4TCcT6GYAAkXl7ycQtIaoqgLh9DQGYSVB3SR1sRLYMKhpBWgrSnGRWdPIPCAz3wzj207PCCQgoe03uIKcmO0QSgu1AWhPkZKOdy8IUJ78xzMOXbZ+mx+0cNjYyMHfS3pwe7YPb0TPB7tOWHFyg+evNy91XHzGBzJolJJPOMkIlmxyqhRIweFiBxf6hFs2+HhimsLuPG/cyiBigkL5qOGJTdMnnYqk1uQXKxVz5KpLlqvrJv2TaufBZCtHBTLgtXm6mo3YgD+cJBsHJue8GDuzlPn0BMhjMSsGvknqpahSrzS9MZMykrORy29XNU6tPp1khbjThIRRVKHJS4BAWc47/UT+PSlI5jVFSXJKExnG+rMQyMzUWUnclDqoDFDkK/L4Zm++ltnzVvxwZ4XhnvyDe1HHuAA0NTSgaG992/3G9ZsGo3moFQGPJchE4TwgxCeF4kiPLF6VrdDSkB9guf2uvj0NXnccEcWJU6Tsq5pS51+UJmAnNw2axWr17nFSFnx2suvSNDKeaa15EET3GnZJEXPU0g/lKuqKafFw1PP9l2d6IkOxvtWUpZyNvV5mDUYUD0AVBotNUL8Bqiho6GyXyZlKZCzBOjgBDwCspzh/HUTuOLSEXS3RUnFICut1g7rk0oEEkYgUQTEMVxUsGpJB84/e8Wm2+95cPvMGR2HdG0PmqLIVqGzQby2q9rat86qJ09eMDC6G5t3EAAemooVzJgWw+FiPXOuAREygt895uPaG3K4/s4sQrl0QhrYUkaC0a8kwuQQF+lSxwmIzddV08tMegL9vgJoyppXUZB0n7F/uh0OWzH8KiUkcB1K0+AmsGgJl2F5aGssd1DrxwOqoKUo5W1YbiMYJFdvUAqL/CB6wgQotQQQCqGgcekyaieUIgarcAQuwwWvnwAYxzU35PDokz7KzHAoufhNGcH0aRGaigwcDrbvC5Gv60b3zBk/Pe3k5Vft3fn8IV/Xw2KO+7bfiOapU3PX/Ov3br/1/rE1v33MRRROYOb0cbxhVQkrl4R43YoQdZnEqo5GwL/fmsOnvlWPwREHEZRnJsA7iXJihecTAAeG9XapflYc3Ko1yJWTKAeDXEGZmI6nciaJckCt981yEZSo42XZCMecbEzlepjQk47FMbqchO30UgK9AK8x6dlxhORJRVTWWHdUz67S+9sLd9n1Iwkxnh27iq9j1Kahaj9zxla62oGYeUVja3aWTItW+UUqkY6BUIKIUAyNUHzy2nr86Oc5jEXJ960LOE5fGWLl4hBnrSpjdhdDqZTBxidyeHpv16+9hg+dySvbxz/8nrMOGauHbMEBoGX623DznY+Md854XxjedTMy2V6wuIxNWzw88aSHfD7GOWvKuGBdCUsWR7j17kCB28g7rQHuFO+WsqAwGNJyu4Rbed7Swzf5MZ3EibQoCVCDvuj3zWe5oQUDm21LheRgTYjpKCYd1ftyq0/IhkTvbs3NhGHVSTpPJRmAjCfXTFtx4VgCoCpwlITjabImiYhsEm31iaRHItgjqtlT4YSCJQMy+Yyy1HYiqLuUo7WB4cr3J9Mgb7s7gyVLQlywroRzTiqjUIjBKgRDoz4G+psxZ2o3zj7rbSHI0HjQcOjgPmyAA8BpK+eBMfZQeeiE1T3b7sgSdxBf/FmAPf0BBsco/v0Wiq3bHRy7IMINd2UwOCwpySQqicrUMWlLgkolCQqn0tS5dVLVAQI6AvRIgd6kGbWcT9Wf5uJq20ZlGs9k0ndSYEYapEa/3DZ4NowBkuRwcPV/uKQn0EoJUaCG5vsyl5xKBUXO8ZV1xiEmLydRzUSGoSLmw8BBDTVFOqhUnwfJTPskxJRMfGAMaCowfPZ9Y1g6p4JlCyOsOiYELwEICfYOOLj6J83I0E6ce+afTcTe0ocIOSRX0WqHfWRDQx5B4H/inLPWfOWtZ04pNRWBmBQApw6Ag1XHh/g/HxjB6qURvHQlHavEjnhU6d+2JCgttkt5FdemaXlQ3dZtsEuY2XqvuBCkOjtQDK/qkH36YqTeJKTmXvsF96QZWKajaXbXzAlPOZaGY6qjnIlF1tVq7eq15hqc1c5nDWWmagqcqejIfHPtFMtHxICNT3j45Nfz2PioB4CgUskijjLYtdvBc0MzSjMXnPwVSr1PZHP1ONx2+EMDQC6XZUG0/orBqPnqGzaeELK4iLpsBquXhrjq0iGsW1nGO84oYWp7XI0AK0JBq/sEwnSWoJ1ApTm1IQWaziXS9KOasqQttRWiN8Gb7p9k0FSB8qDRjerxYIAyvbtZQxxG3ol1B4CtlDBjQGhFptY+qTmcqvCqnCCRLtes+xIZUigoMGVHqlJ55S3khd0UP74ji7seyuDvv1HE/U9kMTjSgDhuxSfe0x6uOLZ49dU/3HBFJpvdb7bggdpBRTL314YK7443757+YAYIp9aNnLZyfkQuecsQTjlmAoQxMMLRN+jggccCVJSlluF2w3rXmMxgUhOP8ppFMx2q5UGSstxKNjSqQ5lzL+3oJbG31WtiHCcrTRHjHDqqKc8hq1npfYm1X1VqQI1HTRWo1r7yPaRSCQi3/5ca1EaEElyNTKKOm4SyqUFPrBQHWMZDLCBr7W+eJ9mvxCi++591+M1jAZjjYXtvPbbubEQ4UUQYtrMZ0+dccdbrmr+wdu5I+Z//Zf2Lwudhc3DZvvbJc3HHHXdMOO7c9WPDuc/w0Q1Y0u2LU0dwPY4ViyL4FJiI5bc1KIri2gZdEZdGRys1z7Znx/P9hrr1j8UnB5PxQyG9bQre3Fh9FxoENXVvYr8gqX1s57FGMzi46XyqSCbRzqPMuZZ5TET0WdmHIMYxiaRITGcUNoXhKlqZVItNPE8KCDWFi6qynDPheIqlJzmv4uVQ3Dyx7oRXUI45Hn7SQxyJHxc+Hn+6Hn7IcfGFx/OBcNr65x+YmFiz9u0vFp4vHuAAMGfWdMS0c6vHMpc64eC1cenn9JGtwPQpDjrbK4hjeR+uxb0Nh9KgKpSYerexfiU0z06rKJKHmyCssmBIPVJ9FjQnGQBqH2n9JrkuB8PCrWxBkgK0+agFekM1IRL4MGgKkXTGVFqIyRTUB5UZiEwpJqL6FWA5okm0kumpbkws/E1p1eDjSAp+6uxGLvrE+pogaG8uo6Olgp5eF8csX8OmdMy69JjFc7c+uW33kYDmi+Pgss2aswBTm18Iu2ev+F5H2/BHf7NlKv7XVV3Y+Mc8ADGL2wroGDyhCl5E3eKkJGjRDVKtmNhL/hn90LfFqixB61/aM3XSxhtA1S3XBrG9hPcRazVi82aNPp7us3RHezsd3ZQA18uDpLm3sfRJ2tlM9xmvIYN7aiAZ0U/uCIcU4KAA97BiIcE1l43hr87yMTgRffS0tSu+98Cm3nDx4oVH5BIeEQsOALmGRRgY6IkLhb/elik8PrJq9t35HGUIx2NEUQWcyFomboo/mGghClguSS/Oak9FSzuKNfmpaZ3TvNDsh807MQmYk21i91eBvdbG/hvXVNgAoql569TZJPrHlRVXBt+KcorJJ9BWnaj5nNqKM85Bic4fl6dmgmfDkBGZyNSiVA8GInRxcIOGQDvARPyf5MRUzCbiILwCzyOgQQF9wx529+VxyYXrRgoty7ft3LUjPumEg8sUPJh2RCy4/lHz6O0jt5520onv/8h71/W3NrWht5/iZ7+qwzjPAk4GoB5U+N3KvtRmlUAkUakcb70wVPU8S6P0GtJA55MDXfFzjWYbkynOjWpQ18B4deh+P0Cvmk2f3k71mclXdri+Oo+luiCQwbNhDASm9zEr1KYlQV12Qh5H7eQsabVFrox54aQFr8QuwkqAAD7eduoE6usrCNwi/MYz+7u6V72fxezWxsL+p6AdajtiFhwAGotNAICoPHzd0mWr3ee2Dl510919rbc/SsC8PChNlpoGjyAzxtKamrLeBi1xary2ViUW2xKIkumnAV1lbdOUxBgIkwnf6cQqy9LXAPNhEZY0H6/1rII7xhsq/4RrXk20YyrYtSU/Ss7MCE8WsZLzLgGj4D1Nqh1wgHAqQp2in3BVfsJcyUE691LAZ9xBHLuImQOHMqxdWsJl53PMm39K75qTT/r7sYnous6O1iMJRwBHGOCyeUEBTz3X9wO37jR6/7ODV5L4kdb2eorxmGIk5IhLFSCMk6IXLoflGqbAXEVNaoG7Bk2hqdC9BFtNAKc3U3w9vb+8z5DUwRrshw5rs3xEVa43SZuBGu+nnomaP8jtY3jy2dOUhAoqAgP8JsgJS2BPAMFT5PxNakxqJtC6fVI1wXUZPI+jVHJQKnuYKGdQKnsI/AhXXLy412leeTkw/ANC2vBStBetg0/WvvGVq1Gcs/bRpoZs78yG0trScF82CilixtDaMIyl3cMYH+eYKFGrSiwlBAFJ1tHxRTZtwsflWjo1wE1McKeqV5HaMqLWq41tpZcTSy8nNKWFiz59dyBKXzZn7VS/1s+TBqToJP2Y5FlY5ur3uEGxtPatC/ZrB1nuA8A6xmzy/9hHmYZFl+mTK+EFQYThiQoefTqhRQ6pR6mcwc5eD4OlRf0Nxa6Pl0ef+UGuYfVLBcOXDuAA8Ktf/Bgfu/jcx6c01z2/ezg6Y3hgODh+DsF739SPS9/eh8CvYNPTPkqRCzjJkiMOJchQCHDrhaL0tLPaE4ql1a6e1pUGtdlHqgM/RAdvzGCPDNroc6SBLqevGdPS6IEBDrIfsFv9qRWWjQEK8zOhxqBQgCb67qRfGGC2QV4Fc+N2SMSOpq/jyIxDyhD4FYyWI3z7piw+94NWbNtZQOAWkfU4ii0tI/3ji97/3I66Hx134vmHEvc95PaSUBSz3f2HcVYh7k+nd02tzG2v+2FH/vnMmoU5zJ3m49TlJfzslxEGxgF4OqnKNQDtiD4JbjPF1QIytYM+tSwdUsCp4i7GD5kmGYruosb5Yf0BUH38/hrnOssx6YCi1pJum9JgQoG4OlZtpjkTuMoXV7sY54SgK4wkK0LIkzBWfc0ShYZASykAGBPHExCqQ/bgAHUY+sYI7v1dPZ7saUYp9kEi4C3r5pWWz/D+ZvGSXTeODJMXFYY/mHZkVZQa7Suf+GucPDMTtxdn3bjm+PaLVh7XVnKdEFGJIucBQSaGDBlTEFXy2DUWinLEJGIJ+Kra3jRFS4zfOC0N6mbYLW6oJCnQm5ippbxYJ7as2/6vC59k29K0zfdMTdxQSuxjbI2bGyeQ5zPzV9RMIZEyK6expTVuNS2NEVFimVjllhmjYDFRpZfFaEC5RDAeOYBPMFxmcHLTSgMTHRc1FE+48a77Z8eFzo++1PB76QEOABde+Ha86ZTd8faBi26aPr3wrpa21vGYjWPFwginnRjC95Lcb49Wr2GpwO1AcXDH5OLULmxv4s+U9Sbz+9JBH8VRVRepOvaAPuTB7F9DIuT72UXp4zBAbDxXnS/dJ9NpuTlWzKimMZNHFKI317tXi0bFBJVYbicg1w9HBXTCiOLuBwM88EcPARnGgllt435jx7v+6qJjb/r2z16IX3/GW148sA6iveQURbZ5x/4lRnbs44UzX7j+v744180guHZx9xMNvgcQx4PnOMg52rF05IwdY2W0yUqxASlAo5pGIPVaHTRJM49Jni3UGw6lsY2DAP/+/l8qR0UrIoDmGPqZ19pWHcZAMOgOZFjfPFDyFkIMHpOseiYTqEiSJAhKCTizR5fk4HEMRESu4eShVCIoZOrx9rM7hk5Z1nDJO8//zvUX/99L8N1Pv+OlgllVe0mdzHS78ku/xE3/egHWHjtvk+t37hwLO9euvy/KbdnhoOhTZB3Ad5KsQZcCnqPXsXQpxBpBZgbgJE5ZDUuefqgaJ2nn01BHaMqxNFc2JuLE6nhKbIdTOoG0tpNpO4tpZ3A/faj+njWdVxj/C/qz1nqYlCux/MSS/awJymonLQmaA5tzgpg5iBkDzTSha+Ypfd3t8z60Z7DrR3t3NuHySy9+OSF3eHGII9E2Pd0H33PfffOdD3x+/a33tO7rH0GFJysKeJTDdzk8RzuayTxBG4zmF6i6JYs304DQoLYBnk6blQBPg9pUXsxCQOaznItJqFZklCRJSdX3MP+/XYSI68+h9uOp5/ScTGPCB2X6jmcoUDrCy2v4C4lVl9RH419+FqGYiEXE5HI2nleB6yQ+Y7lM4AUNmD73tN582yn/AFS+T0jnUcHZy0ZR0m3JnGaMjo59/9ILTyHTG8mVX/u3O1u37RhF1ncRuNKCa4nQXAGt6kfhlu9Ve74BT71Xa2inKQ4xlF9egxKJF7aPeXg2w6QjKmADWc8bdqYgQWo2PaRfV7sZANVT22p/hgTcGuDmBZFRS0o4GKNJRqBwXh2HAA6DQ8pw/SnItLypN2g85fIw5N8PguxhXZMj0Y4awAGgvr4O5dL4985et6rSX8KXv3v9/Y0v7OpHjjMELuC7dpagQzXoZJOpoLKAuqUOQMthaeFDAsX2skkNi4YqJ1Xy74OSSw6yqVs8qj+n4udiRzMRy0q64qkTWN9bc/Na1lspMCxNS8zPqPVuRjliBtA4oS2+FyHjV+Bn2tDetm6A1q36eBjhh/n6owdu4CgDHACCTA7jE+F1565b2b9p277ZYRhe/cCvH/RyPkHgU8RMVEYlRGng5g8opS0i9quy5MYPngZPdQeq+K5pnk3OK9/SWnHKfhNTiDxwMzMKYVlkI5+b6P3sML4EvQax+hiKj8uzGRQFMmdF5oAreVslWzHDWCQ0i4NTAioq1sYxQSkk8CiQn7Eqoo7/v+tb1myjjnsbIRkc7XbUAQ4AuazP7npg860XX3Sm//RTW8fntdJrtm5+goxPlGn/CANjHK5YsVvyX2W1WWK5YiDJmzDzn2tl58kNkgCCwwgWqff0MUotgW21Tc1cKy5Egd2Gdm2gmwNRAozAAHL68CqqYsgjRH+/KhJigFw7p9z4DlzNmZTat5IJVWYhFAf3XA7f4WAxQe+gA8+rY10zVnK3bsYHim3T/19l7PnQqT/u6IJKtJdFBz+Y9rpVC8BH9oRLZrddt2DujEV/vm7Bp5YsacXARIRSlKSr+B5B4BH4LoHnEngO4Lkyypn8ikmqp3iY6aTGQ+5nDYAUtzbnJ1pW26IrpNYNoKrV6ksnUvIaz2bwR96dJAhNKpZOlVX/V4DXdrRFxFc5p3oZdvm9pN4dVQjCCkVYIShHFKWQIowcVGIC340R+EMIUcA4n/epYvOcRdztvm7PznLovULADbxCLLhsy45dBAATmx5Zv2Xx8tM+/+g3NvgzZ2c+0b9rh+M5IbIZF55DEr015grIQMIH5QyVmNngVYlUsDPuZLNwYQBZbtoJTbbcpiy26WkeAi1XuxpSdBXwhRZt1kexLDa3+yBD6vL8RGVsKytMRTUr8/9wACQWy/zFBFFMwRgU2CsxgesyMAYU6j3MnNkdd81u/OdFf/Guz1/r3hJf8p6TjjKCqtvLqoMfbLvmO/+BuHkV/8xl77r3lzf/OKgLyMrx0WG3LsNQqEsuejnicCiB4xAVZAgryaMSJ0tAy6pMpnk2U2uVJAgtCVr6tyq3ZmynZD/rtSElWkEgS4M2Mv/M+yex7xJmDoimQMYdJv2/qxLEeEr+FIqUIyy2w0SkWARmnMSCVxhBOXIwUXYQRqIQPgVGJgh6BzgYd9BYLGL67FXl2Yve9oWO6af/U+8jbfzU0995tGFTsx01Hfxg2uDgMBiPQUCufObZ51Y/tPFO2tY4uPo3v9vjPtWTQWezC9+jKIUM+4Zi7BviGI90aTJzMoQjfmBXvU5qCprhf8fRNQQd1W/UHVTadiqYYwGsRnkIEHUHoSKrarIpdpOm+dYELdfAFZTDdZK0BkesQp1scwVuV6xz6hi1CJPPlixNMlF20TuQwd4BD6Uyge8BnS1l/H7bOHbsm1KZOz2/8a1vfgPrmta9kTF+ues6yGQPvNLC0WqvKIqSbsViQb68fHjnT3DMhbPye/uGvtM7Ss/fvrdMi/kILY0uKnGM5/sibB/k4HAROCIKKhK0XCNowQhAVZKRDFnDoiamdUQVWAVggZqP6mZLOKYKAvMYwzlWviMxxD2pcADG6ny1lhMUigrsO4BefFeCPVmZWg+EGK4bo7HAMTKWx7YXCogqHMV6oKvNR+vUJuY0zr0hJMWL/+P2Z0Y+9cFjjjY8Dqq9ogFutkLnhejd++RIY2fwdyeeuPDpqPLHJZ1NI+fm3Uexq59iZlcGc2cP4KYH8ugfz6HoJ6U8XA41e4WRJI9CrqFkBn3SSVbpkL6ZI56mGxL5Zo611fbDy00pU8qSZv6IvRwOAUUiz8mDCbeBjhr/Wi1fIh1LhyWAliB3GHJBGaPlCdz2QAYZEmL73iH07GJ446mLEeQb15++bNGmTH3bV+NKaWTe7AVHGw4H3V41AAeA1ikLAWDfQN+Of5r5jiXdlfHH0deLc++/eSsWTgVef2KEe58YR89oDmFMMB4SZD2ODNfha4bamXvAZNzWBrt2LonFieUJbAXGyAWp0ZQUaBh5GTHVHfZnZSCAWn1YKyzUALr95bi24ODCgjN4bgzfixH4DDEDHIdhaCLE1/+zE69f5GLFkgALlizE0sVL168+af6H+gbGemZ3TzvaEDjk9qoCuGyNzVPB+c4eNMz7eP84rluzdsUHSWnb2gr/FQibQEc9Q2shxhBj2LkvKezou/qHT89Et4ANUgVyxb/TlhswrDeq9XNzI9UsqsLt3UylBOJ9DtuSg0ngyrUuE+uuNHJufDzDYYWQBRNwT2BHH1AuF9Da4KFUGseU5gKOX74Y606dv2G47H61oXH+47sHop4Fs1594AZepQAHAJG88zTn/Ok5s7Fp2+a4o7mx7dtvPaNnzubHNjunLisDmT588t8aMV6pQwGaQ5uauKlKAFJGM+ZqUrvm4KQResV107RFva2aGXTkxpuKl5vRV8MaM0ll1B2EJ4EuyAijeXfSeqNaAAxQxXl8LwYn4/jWrQU4cT3OXuVj9vwT4o/8zbFPF9z4ffMWrt7FOLY4dLL7z6ujvWoBLpsIkW/hfOeWKIrPPPXE5qlvW7f6hmjgrsLW7Y/VObwCimS5Qd9JEB2LKVkOleeopiDmag1SSSEG3+Cm6TU/D6oHQq0BIXm2SsWGYbTT+wJqIWD5eTmV5EP4F0YASNYEl4XvpYrCGEHIKBxKhdbNAK8JDcX5Y8etPnU4mymd1zB12g4Qp+dwKgO8Ettr41uIJtQDOjo60eDFm1a90Bd99wfrn608+PCzTWyiN5/PMAxPMOwbBuoDinyWIxckUdFEWiMiJSDpc10K1xEAp0SB0Fw9IQGYlBKp5ZCaOrjxIY0aJSY1qp3nLg6xaJXc16FJ+oLncvGAkgVdh8P3GHKZCupzITJ+GX2DWYyVAjQ1VDCtMzeSKc7s7xle7u7tz773zFUzH8jW1w8xBuY4rx1YvHa+idF49CzgOnTX7uFM58rLy4/c9uWP3b/xoXcO7O2J4Awt+PlDE5mxgQhTGzkKOQrPpVYwx3cJfI/C8yg8h8JxxMQFJJYxZhxxhYs1JrXFdyi18snTZd7M6q7y4st9zHWB5ENy9CSamNx55IRgKqpteCLrMvCTZ9fRabGew1CoC9HePArix7j3kbZSS7F985KF07z5i5Zft/nBt/5Ldtb1QSluKVESsePmH9oKZq+G9qqnKLUa8WYCiWAy/oennoPruld7rnP1eefMdlqastd0zxufd899u9aQ0m7HpSHiCsP4RAgQAtd1ACQRUs9NwC8tOyFAzAjKIUPEWVI1t4rayIxHYvF7M6/EDq2LueosGRgy8CoXzwKACkSUNkoGVzIQCFyWnNgRoXzH4SBgCCMGDh8R9ZGrq0OhqSse4l2/zk5p3TJaKV0KEsXUyWL+ibfyfHHG+NH+vV5SLBztD/Byt917BxEEQeO+ffs+d9ddd/u7dz0fO26wvByx45/atgdjY6NoKrhobcwgl3MFwBMqEHgJLvf2xxgaqYjilYDrUvgehe858FyiF2ESzqQjQFuJgUqFoyLKScvUAEl1HJpQI98DAj8JVkl+PTjC0dtfEbnXFK6b0CGHctRlCIr5CE2FCLlcFhV0IKzQR0bHyr+b0d3lnLh6bZhvaPzHShQOeEHT0f4JXtb2mrTg+2vtU4oAMADgEgC4+54NIARrS6XwjPau4fPKpfH5GaeM4f7tqM/FGBkNUSpXELhAoZ5g2pQSfrEH6B+h8N3EsgccaiD4XmLBKzFQEXTCdZMBEkbARImhHDG4DoFPnQTAjKMSM8SEgFIKQoigHQmvDrwYYRziD78HOoscuQxQl3XA4YBQD9lcBnPmL0FHq4NcLnhqeLz5BuL6d4DzDccdv+ZoX/Kj2v7kAJ5up//ZWgDYsGN3/4ZjluE+Fldmjw4PsA333MK6OoszIzT9w86dO9FSdFHn7oDnPYPte3OolPPw6z3sHeRoKXBkAgrHoajPAvU5ht19DGMjBHVZF34OaG6IUY4ibNvJEIUETQUX2QxQnwUGRhj2DVaQCwgodZHLUAR+jNZiiH2DBB6N0VToQ/8YRWfLdMyf34F8Dpg6dSq2PrP386WJkWcXLF5FW1saqOc52wDc7gUtR/vSviLanzzAZZva3gQAt8vtnu274ftBcfee3RsBB8WCF3V3zPxw78iydX9+totizsXmpx7E+nsH0dGSQSbwUJdz0VwsYW7XXrzQy7B9TwEzO3w0FShaChMYj4fQ0xeAlwIEbox8DmhrjLBneBSPbPWwbFYWLU0BgsBBLlvBjK5B7BxsxpJFazGleQIt3cDAUP7OQjDx5foc8Y49ZiHe+Ia2DWEYDga5I1+Z9bXQ/j/AJ2nd09sBYBDALQAwMboTFNhc6a20rcgT1lgfo6//CVQwDN/z4XkuoohFJxx/zBUthZ3ndPexKPbymN3po6VI0NlSQpmPYPmyACQM0NFE0NzgYc60EHH9KPorDd7SGYWfj/RuusJ1M57rEtTnYhA3QMe0xZg6BWidyunuvuweQvDs3JntR/sSvSran5yT+VK2gV33ACBtDnu24Y7fMr5zVz26210U80BrMUSEcfz3Iz5I5KG5ABTzHmZ0Rti2dwwPby6S5fM6hhjney5488lH+6u8Ztr/ANhp5f8UgYjhAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIwOjQyOjQ4KzAwOjAwoQcCFgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMDo0Mjo0OCswMDowMNBauqoAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 258778000
{'hecke_orbit_code': 112589990717820288, 'n': 1, 'trace_an': 2}
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id: 258778001
{'hecke_orbit_code': 112589990717820288, 'n': 2, 'trace_an': 0}
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id: 258778002
{'hecke_orbit_code': 112589990717820288, 'n': 3, 'trace_an': 0}
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id: 258778003
{'hecke_orbit_code': 112589990717820288, 'n': 4, 'trace_an': 0}
-
id: 258778004
{'hecke_orbit_code': 112589990717820288, 'n': 5, 'trace_an': -2}
-
id: 258778005
{'hecke_orbit_code': 112589990717820288, 'n': 6, 'trace_an': 0}
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id: 258778006
{'hecke_orbit_code': 112589990717820288, 'n': 7, 'trace_an': 2}
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id: 258778007
{'hecke_orbit_code': 112589990717820288, 'n': 8, 'trace_an': 0}
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id: 258778008
{'hecke_orbit_code': 112589990717820288, 'n': 9, 'trace_an': 0}
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id: 258778009
{'hecke_orbit_code': 112589990717820288, 'n': 10, 'trace_an': 0}
-
id: 258778010
{'hecke_orbit_code': 112589990717820288, 'n': 11, 'trace_an': -2}
-
id: 258778011
{'hecke_orbit_code': 112589990717820288, 'n': 12, 'trace_an': 0}
-
id: 258778012
{'hecke_orbit_code': 112589990717820288, 'n': 13, 'trace_an': -2}
-
id: 258778013
{'hecke_orbit_code': 112589990717820288, 'n': 14, 'trace_an': 0}
-
id: 258778014
{'hecke_orbit_code': 112589990717820288, 'n': 15, 'trace_an': 0}
-
id: 258778015
{'hecke_orbit_code': 112589990717820288, 'n': 16, 'trace_an': 0}
-
id: 258778016
{'hecke_orbit_code': 112589990717820288, 'n': 17, 'trace_an': 2}
-
id: 258778017
{'hecke_orbit_code': 112589990717820288, 'n': 18, 'trace_an': 0}
-
id: 258778018
{'hecke_orbit_code': 112589990717820288, 'n': 19, 'trace_an': 2}
-
id: 258778019
{'hecke_orbit_code': 112589990717820288, 'n': 20, 'trace_an': 0}
-
id: 258778020
{'hecke_orbit_code': 112589990717820288, 'n': 21, 'trace_an': 0}
-
id: 258778021
{'hecke_orbit_code': 112589990717820288, 'n': 22, 'trace_an': 0}
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