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mf_newforms • Show schema
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{'Nk2': 5184, 'analytic_conductor': 25.303187064213862, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [81, 3, [2], [1]], 'cm_discs': [], 'conrey_index': 28, 'dim': 4, 'field_disc': 38025, 'field_disc_factorization': [[3, 2], [5, 2], [13, 2]], 'field_poly': [256, 16, 17, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [15876, -1134, 207, 9, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510936455282769, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '81.8.c.d', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.8.a.b', 'nf_label': '4.0.38025.4', 'prim_orbit_index': 3, 'qexp_display': 'q+(-4\\beta _{1}-\\beta _{2})q^{2}+(-43+34\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '81.8.c', 'trace_display': [-9, 0, -180, -700], 'trace_hash': 1162543810603690927, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.808', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '54.896', 'prec': 20}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5184, 'analytic_conductor': 25.303187064213862, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [81, 3, [2], [1]], 'conrey_index': 28, 'cusp_dim': 114, 'dim': 54, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137573171281, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 8, 8, 12], 'label': '81.8.c', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 138, 'mf_new_dim': 58, 'num_forms': 11, 'prim_orbit_index': 3, 'relative_dim': 27, 'sturm_bound': 72, 'trace_bound': 4, 'trace_display': [0, 0, 0, 417], 'traces': [54, 0, 0, -1662, 0, 0, 417, 0, 0, -516, 0, 0, 9237, 0, 0, -98046, 0, 0, -115902, 0, 0, 70770, 0, 0, -431367, 0, 0, -278532, 0, 0, -338964, 0, 0, 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mf_twists_cc • Show schema
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id: 43101800
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510936455282769, 'source_is_minimal': False, 'source_label': '81.8.c.d.55.2', 'source_level': 81, 'target_conrey_index': 55, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936455282769, 'target_is_minimal': False, 'target_label': '81.8.c.d.55.2', 'target_level': 81, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 43101801
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510936455282769, 'source_is_minimal': False, 'source_label': '81.8.c.d.55.2', 'source_level': 81, 'target_conrey_index': 55, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334964764753, 'target_is_minimal': False, 'target_label': '81.8.c.h.55.1', 'target_level': 81, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 43101802
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510936455282769, 'source_is_minimal': False, 'source_label': '81.8.c.d.55.2', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599761588251, 'target_is_minimal': True, 'target_label': '27.8.a.b.1.2', 'target_level': 27, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 43101803
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510936455282769, 'source_is_minimal': False, 'source_label': '81.8.c.d.55.2', 'source_level': 81, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936455282769, 'target_is_minimal': False, 'target_label': '81.8.c.d.28.2', 'target_level': 81, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 8}
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id: 43101804
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510936455282769, 'source_is_minimal': False, 'source_label': '81.8.c.d.55.2', 'source_level': 81, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334964764753, 'target_is_minimal': False, 'target_label': '81.8.c.h.28.1', 'target_level': 81, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 8}
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id: 43101805
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510936455282769, 'source_is_minimal': False, 'source_label': '81.8.c.d.55.2', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398643699739, 'target_is_minimal': True, 'target_label': '27.8.a.e.1.1', 'target_level': 27, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 8}
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id: 43101806
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510936455282769, 'source_is_minimal': False, 'source_label': '81.8.c.d.55.2', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594172146096, 'target_is_minimal': False, 'target_label': '432.8.a.q.1.1', 'target_level': 432, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 8}
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id: 43101807
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510936455282769, 'source_is_minimal': False, 'source_label': '81.8.c.d.55.2', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396780552624, 'target_is_minimal': False, 'target_label': '432.8.a.j.1.2', 'target_level': 432, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 8}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 255225
{'charpoly_factorization': [[[15876, -1134, 207, 9, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 2}
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id: 255226
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13510936455282769, 'p': 3}
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id: 255227
{'charpoly_factorization': [[[56475225, 1352700, 24885, 180, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 5}
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id: 255228
{'charpoly_factorization': [[[1128109515625, -743487500, 1552125, 700, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 7}
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id: 255229
{'charpoly_factorization': [[[865184866700625, 320318732250, 89178075, 10890, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 11}
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id: 255230
{'charpoly_factorization': [[[4666037510560000, 374330032000, 98338800, -5480, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 13}
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id: 255231
{'charpoly_factorization': [[[-741669696, -16416, 1], 2]], 'hecke_orbit_code': 13510936455282769, 'p': 17}
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id: 255232
{'charpoly_factorization': [[[-142216916, -16024, 1], 2]], 'hecke_orbit_code': 13510936455282769, 'p': 19}
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id: 255233
{'charpoly_factorization': [[[15241563020727269136, -95149371189168, 4498038828, 24372, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 23}
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id: 255234
{'charpoly_factorization': [[[26239013518889610000, -733937916168000, 15406755300, -143280, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 29}
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id: 255235
{'charpoly_factorization': [[[813871014094807759561, 1104278262087652, 30026733933, -38708, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 31}
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id: 255236
{'charpoly_factorization': [[[-16337003900, -455620, 1], 2]], 'hecke_orbit_code': 13510936455282769, 'p': 37}
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id: 255237
{'charpoly_factorization': [[[6959594659599062010000, 61056492590988000, 452224149300, 731880, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 41}
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id: 255238
{'charpoly_factorization': [[[43038087324321654010000, -225886641364316000, 978116315700, -1088840, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 43}
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id: 255239
{'charpoly_factorization': [[[168917673826253838531600, 641770181452710000, 2027286296460, 1561500, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 47}
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id: 255240
{'charpoly_factorization': [[[1583691044571, -2610468, 1], 2]], 'hecke_orbit_code': 13510936455282769, 'p': 53}
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id: 255241
{'charpoly_factorization': [[[419635075896957324960000, -1121950635256656000, 3647477905200, 1731960, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 59}
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id: 255242
{'charpoly_factorization': [[[308018919156414386176, -10884659710932992, 367087649088, -620192, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 61}
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id: 255243
{'charpoly_factorization': [[[246456324650256250000, 5441248271500000, 104432632500, 346600, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 67}
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id: 255244
{'charpoly_factorization': [[[-3541802241600, 4242240, 1], 2]], 'hecke_orbit_code': 13510936455282769, 'p': 71}
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id: 255245
{'charpoly_factorization': [[[-3239699519975, 3145190, 1], 2]], 'hecke_orbit_code': 13510936455282769, 'p': 73}
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id: 255246
{'charpoly_factorization': [[[369390253310213153696137216, 194321266458985636864, 83005027983552, 10110616, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 79}
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id: 255247
{'charpoly_factorization': [[[2871542643774224897188881, -1091640661370608518, 2109558887163, 644202, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 83}
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id: 255248
{'charpoly_factorization': [[[6381093451500, -6021000, 1], 2]], 'hecke_orbit_code': 13510936455282769, 'p': 89}
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id: 255249
{'charpoly_factorization': [[[24293476643730301708983150625, -638833656515967139250, 172662743370675, 4098670, 1], 1]], 'hecke_orbit_code': 13510936455282769, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 4, 'label': '81.8.c.d', 'level': 81, 'portrait': 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wuaibrHzo0pW9d1qFUjhLTEsaDZrTDf9JmoCjzpcW7O58hZwYmZlFOLKUGly9tu7PDemyGQ4xw82eDUrOJ8ztynFixH5i03XDnPT390mY3jExw/N8n5+Qpzyx6LK4Ju39DtZyw2E9rdhK0b61x52YS58Zpdn1o7Nf4jvShuXXndPW80JP5Cr7/SAD92ts3WiYRmX/7CkaPHbv/S/Z+Rgs7tUXRGf/COGoutCq2ux0pbs9KWNDuw3MpYbiUsNjNmluHIgmB6eoWf/b5Fbrq0yunZSc7N1Ti3oJldtMwspJyZz5hrp4xP9rljb4dbLgNfVghUwOxSyPkFzcySoBtBmhpC31ALMybGUgxwcial1YFt6zxqlQhrBQifTs+wdX3E4ooG66TISgeiFCyWpWbMprUe7Z5CKIswEY3QY+uGPitdwclzmsxophqSeigIPEhTQTeSzCxJzi9aZpdTgqAPXsqtV3S4/UrBdKPC4nKD07MB5xZgdiFldinl7BIcXbTccMUCP/d9y6wbG+PUzCSzizm4m4LllqHVSWl1MppdQ6tnmWkp3nX7LFvWbkqnJ6pPvOWuD5oNm3Y/0e/pn5qY6iPE5BsNldd9/ZXV4D/+f/8h3/meG/neH/nxn3/48a/974f3PXTJ159d2n56aU5etnWFt98YkaQaKQQCgYv2JSDzzxYlLIGEc0shTx1W7N21xGVb+lRD8LTE9xS+r6lVJFVP0u14HDwR8tXnfU7ORbTShIOnI9ZNLfG+O5bZe0mbGy5rcmIhZaErqAZ9jp2zNFs1rtopWeln7D+hqFc1+07CpRst/Tijn/lonTBRhwOnA5TO8GSK9qAXSW66rEuvK9l7SUarl3HyXJ0d6xW1asxKZFk73mW50+JTD8GLxzNePt5n28ZFrt7TYmIy5j23tvngmy271tfJknGOnx3j6BmP0zOGM3MJZ+Yyjs4JTq0kXLN7np/9vjbrxsc5PTvJzGKFhRWPpZZguW1otlOa3YyVjmG5a5lrK07NZdxw+SKXb1uWDU9sf+CR0zvCoHnz9p0bKlqvfbBz/tf51//2C280ZC76+ivpojz9+B9z0+07lEk//n9+4Qu/9RPHjp5Ts3MxvY5g39FJzi9bbrpsjqu3g1YTSGndIUAIhZQKAUghkCrF05bTy2P8+H/xue3KJb7zzQvs2NhncqzBmvEK80s+66c8tjQVi03tbvRSyIPnLd1+ymuHfZ7ZZwBB4FnOzHkIGWD7VS7ZaNm4tsvscsTcYp07rrJUK8u0O5MstDLiuMLUhKHT89g63WexEzI9CVGkWDsuSbIes0sVTs71mVuuce3ulPNLHe59ymfTVIOdG2Dreo3a7LN5LfieQQjYts4Fs+1eQKc7wfHTHkstxdIKLDYNS82MhWbGTBMW+xlbN3X4sbsWuO0yTehNcexsg4VlJ+8WW4KVpmGlk9BsZzS7luUOzHYU51cM110+z4fe3GPz1ASHTmq2TS/y3DOPBCdOHvqJmcP/KV3zvu//uU/80Ybs+7/7njcaOhe8/kpJlObii3h+tbK8cHTr7NkDH37g8eV/te/wSTA+c8uSds8y05QcW7ZcsW2O//uHF7h6Z5W5pXEWV6qstAOW2x7LLc1yC5ptw0o7ZbmdstSyzDYF5zoWRId77mzynpsMOzeExHGV5WbISsen2VYsdwTtrqAfWeLUkmWgpCXwoBJYxhuWtZMJ2utz9HzMK0cCTFrjXTfHaG+F5/aPsX0D3Pt0yp1XBcw1e4RakWYJkxOQJh7aS1lcrHLHdS3ufbLOjg3w7OEIjyrvvMmQih6vHM04fiZES591E5qJmqASCHxfoASkBuLE0o+h3bWsdAztrmGla1jsWHpZxrbNXd5zS5N7bo/B1FlcGWNuqcJi02OppVluwko7o9lJWelkNDuW5S7MthWzrYxrL53j3/zwPLs31Tk3P8XsUo12x2NmOaEXx/jhNk43N/7L66/Z/ceX7txyqtvt995885VvNJQGr78yAH/8+f0YtdH301d+YHn+pV9Lmk8KklDe+2SDmYUYYwydvmW5KzjfkpxsZlx/yRz/5gcXuf6SkPkVB/LldkCz7bPc1qy0Bc22pdnJWGmnNDuG5Y5lri043zRMjHd5+w1tbr0sZds6RaPi0WqHBJ4EFHEqMUZgLHT7gDBM1PscPmsxNuaBZ2tE3QqXbPK5bW+XxKzwyPPjXHupx+GZDs3lBrfs7fLgcwHrJi37T1p+7P0t9p8IWDcp+erzitsuVyx1Wxw7Pcm1u2MeeaVHGlW59QqfXVv69NIO9z+nIBMcPaNpVDVaQLcnMVaQGUuSAtKgfUOzY6nVE7ZsiLj98i5vvz5lqhYyuzTG4kqF5Za7NsstQbMDzXZKq5Oy0jE0u4blrmCmLZlvZ9y8Z45/9UPzXLWtyszipLu+rZB2T5EZwfk5+LOnMurjxnzgHVfbm6+97Eev2Xvpx9vL83Fj8po3GlLAXxGAW9uVmM77Xnvxc5d89Tn5Sw89/lVvzUTMPbeNcfDEFEdPG5bbCe2uodmzrHQEMx3J6ZWMWy6b4xf+zgLX7/JYaY8zv1xjpRPSbPusdDTNtqLZhXbH0uq64KnTMzS7lvmOYL4DSRZx9aU91k9mdLqWd98SsX29Ic0kWlriBB5+KeTUXMiGiZRXj4Zgqly2WXHdHkMQdnnucJf5hRpXbq/RGF/myZc9brw0ZLG7wvJyg/XrLU/vV3zPWzs8s1+zea3HQqfJ8tIk113e5clXMyYr41x5SYe5ZpOnXxunomvcsMeye2sfZIeXjgvWTibMzic88pJHP1FICZmxbN8Q8/ZbYtodxcYJw3WXQhxXWWpWWWoGrHQ8Wl1FsyNpdaDVzWh1MtrdjFbXsNK1LPUk51qClV7Mbbvn+bm/s8z1l4ScXxhnuVVjpR3QbHusdBRLLcnR0ykHznf4ljtnmKoqLrn0Xcmjr9V+/G995L1HJsfCL9bDinmjsfWGa/CFxYiZ2fT7Hn366f9QS1+bnDmeEXfHeeGsYcIXrJ+AwJdUAkWWQWYMxlgsBiEUzx5ex0/9tsf7b1viu966yI5NETOLDUK/QiXwqQYetYqmXZHUex5jNU23n9HpZayLDL3I0u4HLM2HnDltiVPD2ZmUILCAwFcWLQXdnkLgkXY112wX7Npo2bqpS5S1ue8ZxYEjE7zj+oDrLl/mE/dZfFFl+6YuLz+p2DSuWNPoEqoKceIx14ZaqNm8TvDigZjrdld487UL/O6XevhenbfdbPGCLl97Oubep2q8drzCzo1Vtm/ImJ6I2bEm4artGUoZtLKApRoETI8HxIlHu+vz6mGPTl/T7Sk6fUmnB52+pdN1597uZXR6llbP0OwJ5ruKmWVLtdHk798zz7ffGnP1jirnFsZYaVVodXzaPU2nr+hGkn4MSknedh3cftk45xcqPPj1V70Trfp/iJbGliqTb/8nNk1+V+g3thT3DQW4tStA/++cOPT1X7j//kcmt6w9yy1XTJClDdYvp7Q7Ek9KlLIEniQLDMa4RUfgOmo8KXn1yBpePFTl0Lk57rm9w+1X9BmvN1hqVqm1Qho9n05X085vdq+v6UaafmTpx4Y4sSSJJc3cEac+1oBUAk8LQl8wXhdM1GH9GsPmdV3WTDT5ynPw6Ase0ozxjus9rrmszeOvJcT9BrddI2j2eswt1rh1t2HNeJeKDuinivlWgjKCa3ZrqvWI5w+GvOm6MW65us3zBxXYMa6/wucH37vEgy/GfPWZGvtPhWydVqyfrDBRrzJWh0oAnrYoCcbC/uOCLBMkqSBOIUpw5xhl9CJDPzLO444MnR60IpjvKOY70Dd97r52iffd3uS732ZIkjHOL9RodUJaXZ9W16PTc+COYkGWweSYohaM8eLBMeaXLN/Y12fPzpM89Xhv8qmX9f/9Le98s15cbv3W1ETjfz6AHz61xPFz6geP7H/8F154/v61uzelVMNxwkCweZ2gVvFIM7AIRCYIAou1ztWU0iKEQUmLJzNCLVnoVvjUQ5t56IUWd161wkfvXuGqHR2mxqssrlRp9wK6PS8HtnJHLIgSSZIK0tQt9a7i1gWVWkPoQ7VimKwnbFrbJaXD4bMJn3ok5NjpGuNBhRuv0Ny6t8XTh5o88I0GN18asnVDlz98SKBEQKOesNKJMBaUgOlGl1bbx6QV3nfnHJ+8t8qu2ZD33NwlThZ55JUpkizkpivW8p4bW1y6pcnXnu/y8ukqLx332TwpmWwIqoHA99xD6Bwki7FgjCVJ84c1sUSJe5D7MfRiaPcFy5FgqQ1C97lm9wofffsKd1yRsaZeYblZZaVdpdPzafc8Oj2PdlfR7Qu6kaAfQZpZsswys+g+N9spSWro9cZ55LkeGzd8ee2+jfIX7rjjZmvt7G8Lse5/DoD/1C/+Nv/6763l6KkHv/+ZA9EvPfPcvjX7j8a89UbJ+okKy21BvWIQwjFFmkGSUrL+QEqXJtfK4CmLpw0VLVjqK5aaE3z64RpPvdrhtqtX+OjbVrh2V5OprEKaBnT7IZ2eRy/SxIkiSSVpJsmMwFiRrwyWwDdUw5TAj/G9iLOLEV96VnLkjM/xMxMoE7Brg8/lOxTXX9ZCBfO8crTOpvEqV+6E9dPLLLUaXLVJkhrLV54JiLqS8VrKO2/q88VHEk7N1Nlzicf5lT77jnlsWTfB1TvmefzlNk/uE0Sxz2U7JrlsS8Blm9scPb/EkbPwzIEqh4/VqGpBoCW1wBJ6IKULqqx1D2uaQZxCnAk6kaDVF7QSiE2KsX1uuLTFR9/e4s6rMjZMBvT6Yyw2Q9rdgE7PpzOQJIpeX9LrC3qxWxXixJCkhjRzK2C3b5ioCubmJVs3xly6IWPfS4+snZ2d+6XT87X0n/3/vvKJH/vAfnbu/Yd/cwH+J3/yp3zoRz+PFG/97kAe/pVda86N71pfZbLSYO1Yhu+5wK4SZkhp8T1JnAjiRKCUA7lWwmlPmeEpgacNvmcJPUslyBgPBe3IY6U1wWcebfDQS33WTXT58F1NLtvSp9/rcOUOy5b1iijxyDJFZiS2ALc0eDrj5Kzl+IxgpWf4/ONVzi5MYGOPiVCxcUqzbb1m5ya4clcLIxf42BdrLC2NcfNlmit3NfnaSwKReqydkNSqKd3ER1oJVqK0T7MvmF0SXGGr3HV9myeer7Bxjc/NV07yt9+7wMfvbfPMwRqdvsfiSp0dGyvs2dDlpt1tPvCmNueWlvj84wGL3YCT5z3OnvXxlEBKiUBgrCUzkBhLlhomphL2XtElihIu2xLxobsi1o4pJusBSRJyfj6k0/PpRR7dvqbb1/QiSa8v6caCfs7c/dgQxxlRYkhSt1JEiQN5mkJqMuYXfZ7dp5lfadFMHl9zz9snf+XH7tmS7Ljqj/7oC5//DN/6bR/8H4a5/2Euyssv/jJ7r3lBPPTVu77j4KGlj3/xkePVDeubfOdbMnxZJ04VYDFGECeSOFFEiQN4lDg2j2LhdGVsiWJDFBv6UUY/NkSxpZ9Y998S6MaCbixox4J2AoYUTIpIU67f22XH+pg0BWNFLktEnhgSaE9y8JTP/iMhtVBT9yVrqoLpMcnaSc3GacW2DRl7tq2QiUV+9bMNTp4a5+bdHrdcZVmzZob/9Bkf34zzthsVl12ywMe+LElaE3z3OzKW4iV+90tV9m6u8vZbDNI7z69+ps76WoNbrtTcdEWbozOL/OfPVRFJjT2bNFvWaTZOS9avyVg70Wei0acSdmlUu7x8HA6elnieRSkn38C6/7OQprB9fcZtV6VkiUeSBljr0489en0H6l6k6cdqIN96saAfSXqRoB/jrm+cESeGODZEedwSp04GxaklTiGzIBBEqQA/4QNv6bKpUWOht6cb1Kd+4NX2y5/eFe6y//hHfvR/CO7+hzD4I1/9Y6pmp/qzz4f3RP2Dn9g0cT68+9oJPvNYhRe3nuODb+rR6dXoR5okVTm4DV6iiBOJF1s8LfC1xEuc5vQ9he9JfE8SJBlRbKkkxrFJbGmkECWGKIU4FfQTSZQFJFnIgSM1XjoAmbW4/KTTxp4EX7maj3oAV26ARgXGapKJumJqXLN2Erauj9gwvUJil/jVz45x9NgY1+1U7Nws2bV5ma/vS5ldHOP6HZKJhiH0ewQywCpBmkmEtaRZzHInZHbR47rLKlyzu83jz4esmxBUwzrX7Tb8/XsW+ZXPGfadrbPSMay0FfPLmjXjNSYaFSYaYzSqCdO1hG3XxQReiqdTlMqQwgUTFoExkiRRzM276zu8xvl7LHMSkfRjRyb9RBDlwI5iQ5yYwXucWKIysBMnhaI8uO0kkmZs+MBblrlhZ8BnvlZj34nXqm+9fd0nbtu+xwh542d/7w/+JPu+j37orz/A97/wMarVtlpaevZDi3Mrv/uZB5bCW6+NuP2KGbompVZpUa9BNUxptkOixCdKNH6s8RNFFGt8LfETSaQtXiIJPEE/FgSeIPIVcSyJfJMzSuZckbR0ZEVQZMgMTm8bBuAWApQELcHzINCCMBBUA0mtqhirSibGBGsnU7at71KvrfDZJ2IeeWWSlYUGe7cqtm3wuHRLn0ys8JVnqtQ8zfSEol7t88pRXMf9Fks3Ulx9acLeXZaZ8xnzyz69fpV33djmsZd7HD6rqFUkgd/gqp2Gn/v+RR7e1+OLD69hsWXZtjZjuakZbyjGah71qketYgkDQ+AbAp2hlR3EKeBY3BiBMYLUSNJMkKaCJJXEqSBJJFHiwOkkoSWKbQ7mHNyJu75RaoljB+yoBOx+Ar1U0kkFKz2Q9IjjDl9+RvLiiWVuvSrikunz4bnzjd/v6X1/S9XG/+Rf/5dPZf/i737nX2+Ar7Sn5cJS9JETp07/+rHjJ8PLt4zxpw8qHt/XZLzep3+wSpp0+c67V5iejGn3KvQin9jzHMi9jDjR+LEi8GQuWySBn9+UwaFIUogT6RyEdGj7pZkhy5y7kNncKcndEiEEUoKSAq0FvhYEviQMJLWKoFG1jNcN6yYjpifapHaFTz8m+fi9U6wNQ/ZuFWzd4LF9o2HbhmU++w3L0lLIZesVEw2oVxNmT0jmlgP8HRAlTuqMj8Ph45bllmFmIeTS7SFvvb7Nlx4NmapD4PsoOc5VuwQ//J45PDnHFx6f4LWzIetaCWvHU8ZqinpFUa1IKoEm8CHwQGvrQC5cUD4AOe7BzgxkmQvgHdAhyZzESJLMkULO1ElqiFPjWLokRaLEATtKBb0E2qmkFbuS5WrQ5nvePsc7r+/Q7CbcdmWPTZNTPPTMOCvdA2Ftyv7mpO9ppbz/iuOZv54A/+Xf+DxPvpp9f9w99O8Cc6pRDT3GqoKtk4pXjk5ypjVJvxfz4HNN5tvz/Ng9LdaMR/SiCq1OiO/5+Ikmjj18rYhTRZAvq3EiidM8CE0dyJOcldIUkgyyzDkJxriAyxhbdN7n4HYAV0qglcDTDiBhANXQUK+kjNdTpsd7rJlY4YkDMb//QIWDx8fZPuaxaz1sXu+zeR3s2dqim7Z4en+DivKYnlCM12G8HjExluL7GiHcw9WLfJZaCStdS7OTMrfss3V9nVsum+OBZ7ocPNugGiR4ykeIMXZtUnzv2xa4Yc8cv/9AnadfHWexo1nbSBmvplRDSSVUBJ4g8CSeJ9BKusA8P0fyZ9pa61avHOhpZgaWnyOG3BlJXQlAkjpQu9Uxd2VSQT8V9HM50kqh0zekScRUpcXfu2eBf/qdfUIvpN2pMLc8zmvHxji/KPA8nxPHjzc23dD71Xe96Rr/zOHPfnzzpff89QO4SdoIJf/Opz79+V/40yfPTo01Ym7ck3H8jI9Ulg0Ng5SK+SBgpTvJv/+0x/5ji7zvzjZ3XdNi/XREq+3YPPJ8Ql8TJZo4149J4mpFkhzoaebAnaQ5M2UyZyowRmIsQ3C7JGXO3KCVS5j4niX0DZUwpR6mTDQiNqxpMdvs8muf9/jKs5MsLde4ZFqwda1g01qfzWsFOzb20f4Kn3xEc+x0jd3rJBN1yVgtQ8qIs/OWQEukAGsFcaLZtrbFM2S0uorllmV2qcLuzSEfuKvJn3zN58RsgKcThPAwtkaSSq7fscy272rxlee7/OFXJnnuRI1NE4I1tYxamBH6Trb5nsTTAq3yikopBm6CxT1kxuKclswBvgB5muWSLpd2SWqJM0hSMYhneil0U0k7hV5sibsJm9e0ePN1S3zbHV3eeb1FmDozCzXa3SqLzQqZEUyNZxyfM9ywp48256ZePLDnl2570z1qdq71W+vW/vdJBv13AXins0Jq5d/++kMP/UJdPrP2+ktCnj7g8+UnYrI0xWQOVA3fYKxAolnpj/PHXw949OUm1+5p8ZG7u3zLzStMT/h0eyG92CeIPZJUE6fDYDRNh152kgnSVJJlgsyIodY2goEqsY65pQClnOvgKYPvGQI/oxKk1CsRa8Y79JIeX3vF8qmvj/H0q+NM+B5XbbJsmJSsm/LZOC3ZvC5m56ZlXj7R4/OPTTOmNNNjgkZN0KgmNLsZ934jpO5bhHDA6kWa990W8eWnXE1Ms2OYW9ZsXlvn/bd3ePpAm/2HfWpBipLCgdxU6cdO63/vW5vs3jDHJx9u8eRr45xarrC+IRgLLVXfEGqD7+EsVekeZMfkUBhnJpdqxgxXuDQHuiMISDJBkomBl97PBN1U0EmhnxiSKKFa6fAdb1/mI29rcf2lhukJj06nynK7Qrcf0Is80lRS8Q3XXppx5S5JmozxjVc9Zp99de30+olfuPaau02zufI7Y2Pjf7UBbs0i+w7E9CPxfc899/C//fXff3BqvH6W73u7Zu3kJF971mc5zrDWpZdD7S60xKXcV7wKp9s+Z5+q8dQrbT6zt8WH3trjnbetMDXuE0U+UeKTJA7ohSOQZoo0laRGkmVDgBubM7cZuqFC2DyodHUcWht8LyPwEypBTL3SI6PHg89L/uihcV49PoZIArZPWDaMW9aMK6YnfdavkWycTti6vsXp+Tb/5Ys10qjC5s2C8bqmUYNGNUF4Ma1ejfG6RQhnSSapZDJQpCalnfi0uxnLLcXZ+QpX7KzzI9+6wi/914CT8zW0SvIHQ5OmIf1Ysn4q4PpLWuzd2WHfybN86usVHnhunHPNCrVAUfeh5ll8bfEUaOmutxCjvrABrHEPXWYEmYU0E84/zwRx5oDdywS9DKIMkjQli2Omwi7vunuFD9/d5o6rUsZCjzius7Qc0IsD+pGzH/uRJs0ECIsQinYn4MFnDUdmunzwbadpn2+ufSYJ/u0tN92Wpv253zu3pNm68S+vQ+gvFeBp0ubKy8Nv2/fSM//53vsebaws9jh6apx2L8KYFGKJp0FkImcQ61LxWJQ0eFLQVopOUmcuDvjC03UeebXDTV9t8w8+2ObyrRFrxxWqpokTnzj1SHOgp5nKwS3JjMRYibVOEthBQAlSGJSyaGXQOiXwUzwV0+olzLcSfvmzIcfnJnh+/zjW+ExVBGvXWNaMCaYaiqlxj3VTkvVTKZumu0yNL/OVFwzPvTbO3s2CibqkXpU0qoZaJUZ4EUGg0cr9fmshyyS9SNPrJ6RG0O4Z2h3LUstjZrHBrXs63HLFCp/8akhlSaFl4gBpNWnmEyeSXuSxZjzkhl0dbrikwzNvPsfJecnvPzDO3EqVM4sBvpLUPIFfyLCiKQTylGcuVXBMnlpBaiAxgiiDfgZxZiFLIU1QKmLDRI+927r8gw+2uPEyQ6OiSdI6K+2AKPIH4zmiWLv3RA9W2DQVVIKMd962xNtFzJVbq8wsZOw/9vWpVlf956v2XrPc73c//5eJyb80gH/p8cPcl21V3lf+8yUzZw81Nk5FvPmaOkfPpJxf0KTG0gidny2Eg7XAIoS76M6ms4RKUFWCjvboZh5LSYUHnmvwxGs9amHE33pXky1TKds29rj1yjZauBYxIZxccVlJmSdwSsyNRUiLEhlRYrGkIFP2HZc8e0Dzpafr7DtVJ06r1LViumKZrFkmqtb54A3N5JhmalywfjJl43SPDdPLPPJqxMe+tJYN45rpBjRqikZNUK+mVIKIJw4p+rHGqzlQWSuIU0moFdfu7vHUK+Ou8KmXsdLyWFgJmF2Y4EfeM8uZhUWeenEaTwIiwQBpqokTjyiWdHqaiXrIeKPGLbu7vHlvl+96yzwHThu+/HTI0wcqHDpWIxWaKFJ0E4USrqVvNPDMcwLWkBqLNQZPZIz5MSEJt1zXYceGPpvXJHz0nREVX1ELPaLYZ6XtQJ3k3ytONFGsiPL3ImGXpi4m8jzLZLVOkkpePuRz+JTg3OIMM60vNJabhy75nu/4YWXj5zPhX/9XB+DdpVeoTNT9V/Y99QP3Hhn/d0882ee73tFi23ofpUImGq5EM80sJq+RKDShK5xy70oJfGnxFVSUpZ8JelrR86r0spB2O+PffnICmyasm+5zxdY+U2MpH3prj61rY5JE5HpbQom5Gfwug5CCzzxc4eWjNYTWnDxX5exslbCiGAsE4zVLIzQ0QqhXBGNVRaOumKhrpsZhzXjKuqk+m9a2yOwKn3msQa9T49LNlkZVUa9K6hVDPUzxvJivPBUSdSXeWtcxWkiUWkXxrpt6PPqCoRNJOr2MVlez0tbMLFa5fEedD93Z4vl9VU4u1VHSAEmulz2SzAGnH0s6fU2z41OvVKlVIi7f3OfmPX1OzzU5cX4F7WW8dEzzJ1+vIpRy4BZy9CZaAxiwliTO2LYu5cNv7bGmkbFnm2XdFGSpRxQ3SFPNcquQiXogF4vgP0rz99zSdWaAIM0EnZ5ibtGj3RPMLWW8fDTCr6a8Z+syO9bJf/fUM09059pXf/xrj70W333nFX81AP6NF06ivbndzeXjv9ZIH5bvvMmyY2MbJUKW2z6ep1luKjr9bJANc32UINM84JMWnVlSCV4GgYZKZqllgjgTxEbQzzwi3yO1MN9p8PWXDZaMP3s6QYjM3STrbhLkZonzAhFCIYREKkWaaKTReFpSD2DHtKXmGaqBoRpANRDUKpJ6RdGoasbqkokGTI2lTE9EbJxuk7HML/9pyOOvrGXXFExUc/auSuqVlGolplbtUalUCZREyVyD4+RAknj0e4JelNGOFJ2+od0zrmWu5nNmdow7roj4+98xy3/4E82plQAhDNYmmMySpB5xIulHroy13tPUQp9qJaQaVAmDhHol5vpLY3wv4cZLUz56dxet0jwJZBDCjoryXNIZIxFCEngaCOhFmsUl5ep2sjzmyRRJVgT5ijSTxKkiLQCdFuAWA4BHiatp6fQtK62UmcWEs4sZtOG+pz2Sx56W3/pO9Wu7d/Ye63R7r/5lYPP/M8Bfe+G/sn2zrdz/6IF7/uyr+0U17PKOWzpsnI7o93usn+qTpBWMVVgYJB+kMANpUkT6XmZJVP6eQWrEMFljBKmxA42YBJLESDKjSUxAltte5dcgSylAC+EylQrCiiXUllBlBJ57mELfUgkEFV9SrUiqoXYArwnG64bJRsrUeMTayQ4b1y7ysS8Z/vCBdWwZV6ypGxo1Rb2qqFWhWnFzCs8vGo6eDwh99wBDUekn6MeaHesN69f0afV9en2bs7hkpa2pV0Lq1XE+evccx87P8Juf34SWGoshMxmpsSSpkwG9WNGLJN1QUu1rKoFHJchotl2M4XsZns7wvAwtXaOElC6dL/LDla4IQOQgFzRNHs+YYWyTlT4nqfucppIky52s3Kodvg/zFP1I0O27NrnFlYTZZctCT9Jpw7rpJu+6NiVtPyOeejm7p233HP0Pv/m53j/5ofe/sQB/8jXff/Xo/E+uq5z+yVv2JPKhV+r8q08Y3nuz4bveucKOTZpu36Pdk/Qj6XxXa3HjHQxSCqSwKOXKYnVuVfkZpMbmXTzus7EuA5fllXLOyxWDQKmsuRk8TE7ja2nQErRyzoKrRLTON9aCMJCEeedQJVTUK5J61TJWyxivp0w2ItZMdNm6bpGnD0V88uGNTIQB6+qGRlU4cFcktdBQC1Pq1YinD8JLB6pcMm1z3TtMm/cixY17LJdu7fHMq+N0I0uvn9Hp6RzkHtWwQiUc5zvftMRLh+Z4av96sApjMlcOm1rSxA7qSXqRptq3VEJF6BsC3yPwMwJt0DrD0watDEq5Wno3icA6h4OhnhsG5yK/vo7VM+MaKoyRpPnnLMtT/6X3JB02XiSZyLOg7j1KLL3IsNS2HJm1qKDDj757lvfe3OfwsY3c/6SWmT/7f37kvZ5/yZbKzwPxGwZwm7Vlu9P7mX//a7/7T75y7qyfGMFKZDl4Zpoj5ybZd77Nt9/SoyITssx3RU1K4BkJ1tV8q1yqqMz5ti7Z4Jpps1LGrchEGmvJLAMP1zkxlG7PaoAPEzpK5hlLBZ4uirZc9i/wFWGgqASCakVQr1ga1YyxWsp4PWJqrMfG6WWeOtjjZ353HafOjLNzjWG8Co2KolZR1EKohRmVMMH3+jT7FiUVnrJIOfxmmSmA4NOoJHRTQzdy+/N0+xntrqRZUVTbAWFQZ/v6hJ/7gSb/1yck39i/DovCWEOWGdIszVPpin6s6AWSSqQIfUngWzftVhs8z/n9WlkHcOUArnKZ4gL/0VdRaWmMA3uW17MYK0ZyDZkRZKnIV1x3ZJmzHF1ugrweyN0vpQRSWW68coX33d7kXTeBlFXOnu9z+zUzNDtLvkqDH1+3+Qe8pZXuv5wcr/43p/P/mwGeJStkWfLzZ4898o9sbzY8P1tnbiUhyQS71ymSVPPyPp/OQsLeHYpK4BhX5qlxkIiCRaQlU5bMWMwA3GKYYs+7VIoO9yITZ8ljo1UAz2V3Hlg6iaKkqynXijwtL/C0q2nxPUUYuJEMlcBSCw31akajmjBWj5ls9Ng4vcJTB7r8Xx9fw8FTk2ybdA5LvSKpVaVj74qlGmZUw4Qki/mDr9aRSuFJixJDm9DYgvE8vvcdy9z/XEw7DujmAO/0FO2OohloQj8g8Brs2ZLyr35wkZ/+uODJV9dhrCQzLq2epHkhVGyIQlfuGgSC0BMEvsts+toOMrZaGaRy3rgUFlG8lxnCFiB339kaMVwtcwlj8sI1x+wMGD7LXNKoqHcpMso2J7hG3ePmtYJrdgfs2DDJuRlNkgq2rMnYMCE4P1/hmedmwlOLD//jD37b3WJ+sflT01P/bdNt/5sB/tizx7DW3nLo1UcrV18S4esq5+Y8Wl0XSCaZxRqB1gGtjkIIi9YubayRzh40lkxajBqmjI3OgV4A2uSMbXI2yTNwhb1lV32vAuBSgJBufogssbfWRd2JxPNcZWLgC8LAzTypBhm1igN3oxYz3ugxPd7k6QNdfuZ3Jtl3cg2bJwRTtZI0CTW10NWvVMKUShDjeRFnFyfwlEBJk9tywyDTaVfFhglLmia0kpBeZOlHhl4/o92XVLqK0PfwvRBPj3HZ5pR/9bfn+Re/DU+9tpbMSAfwzJKkWc7khigwhLGk76uBBPM88LSTaK5OxaLlqItVLDKrMD7IJZgiCC0yoFbkK2upiKv4nA1X3gHArUUKge9BvaJptSfYf9xVeKappB8LVjqCc/MZrx3vcI19pJJ2t9xSXv3+hwD80a9/gUbQrT737AP+hrEZdm4AXysmGiHzS4pW19UOZ8YBy/ekW5YGkkEgjcDaAsxglJMfpvg5lyMuE2kHtSQWcQFrrwZ3UUQlpftdBbiVdLO2h/IEQg8C31AJLZXA6edqJaFRjRmv9Vgz0eS5w31++rcmeOXkNBvHFdM1w1hFUA8l1VBRrQgqoXs4XKo/5qn9gk7fJ1RFEO00eNGEkBlBkmpqoeLWK9s8va9BN3EypRdldHuKdqAIfIXv+bl+HufyLYZf/KE5fuI34Mn9a0mMJDEmb5Ye9mBGviTwzaBmvjhnrYqDXKYMZZzMs7wXe5WTZsNalmJ1FSMFXGaw6uY/5wVe5I94lgnaPXf+SjnwR7Gl1TUsLCecnk85PGOwusPHfu8r/j3f+p7q/V+9r/vOt7/7vz/AlxdfZXxy4/gjD37xvzz8YutNE7WYb7szZucWQxhMUQkqLK4oOj1XvuqcEzGobCsyaFY5BtBG5BdA5KAuqv5KbG2HAKdg7bJjkq+tI+DOi4zUAOC5/teOyXzPjUEL/bzAKsio5PKiXokYq/eYqLd48UjET//WBC+dWMv6cc101TBWgVooqFUU1YqiOmDvjDBIqVf7PPKSz0ozZGJimCYvHkqTL+VJplg7pbj7mg6PPGtcF01sSiCXhJ4k9DSe9tG6gpSGy7dYfuGH5viJ37A8eXAtidEkRQVgZgdMHiRyUF3oa4nWeRGWFChdXBsG32/wEHJhWn+wYq46CpBbUwY8Q6IarLi28G0HErQfuT9KEyfNlloJpxcMp5czpqa7vOm6Nnt3hm/ad/Dob7/3fe/7u/uPHF65/JJL//sCvLk8R6+98hPzc0c/EjVX+PqBDTz6ao+33bjMW65aYss6AVTwtKvXLrTX4IKVWGyop4fBzEDzlYqBigq4cjFg8UORkSv+952eHNZ4KzWsGNQKV5+hLZ7nGotD3xD6GZUwpRom1MKIerXP5FiT5w9F/ORvrOHFY+tYO+6xtpoxVrU5uHP2DiWVwLF/GKRUg5jURLTjAKEkXsHgAw0u8tqP3F5LPGp+35ULxCETBcj7GV1f5VuiSDyt8XSxAa3lqu2WX/q7s/zzXzc8eWAdidFEmSDOm4CjRBAmhsCz+J7A1yZfvWTe1+pWNHd9xEDSyVL8UlzXMp+8PtDtyD0r/zx8H/3ftYDJIE4M7W7G2QWLCCO++13LvOM6iS+nePlwzEzvyEeef/7Vo0ka/4v/rgx+9uwslfrabcde/tW9vfYSl22vMzUOp2YlX3w4oNNq8d1vS6gEfl4x6CJra8SInBjR0LYcyOQnXdLc7u8Ns5JD4nZX64Kgslhu8w4dlQdTWlvXgZ8XIRXVg6GX5bo5oRJGTDS6jNXaPLU/5ac+toYXjq1jekwzXckYCy31HNyV0NmJBbgrQUbopzRqMftPWB5+voYvJZ5ynTXlvW4cwHGJEqO56/qES3Z2OHqqwnTV9Zz2YzfPpNvPWVgrtPZQ0uZJI8uV2+AXf3iBf/Ebhsf2TdNPKkSZJE4t1byOO/BwINfF6mVyiSKRKhuscEqKEsDFCMgLUhIFwBmS1MDFMqNgNiVQFwS1+v4529fm8xUtnQg+cneXt1xT4+jpCU7NeMwsZsyszJOYZ/b+7E/+b9vOn5s9uWHjX3wExV8Y4F97+iQHZ4Lt4tjX/+ORAzPfNlU/yTtvm+TYmXE2nvXZuVEzXvdZXHEJHN9z0XlqipMXF7IAQ1CX9d3wwjDC3MW/dde8xNxlcAuLVIUt6MCgVc7a2uJrg+cZAs8Q+CmhnxIGMdUwYnKsy3K7y6Ovwi/+0XpePrKGNTm4xyuWekVQC8XAK3fOi3Hs7TuAV4KIOMvo90JC5R4yWQBm8ICLXKZI0lQ7La8jotjSS0QJ4Abfz/A9jedJtFIo6Q0AjoCrdwh+8e8u82//a8qTB6Y412zQr0nGM0s9ddMGgvzwBhLN5nYhJYAPGXzwffMvXSjL8vWnAC5DoBcqxKxibcp/p3z/rctzJHluZM0YLMyv4atP+cwtwfHzCUdnYibHVrj+6tq3vfzq17Krr7rsH1t74IQQl/3lAjy0pwjVws2vnjhwz+cfOItXmWDP9i5vvy5manyC8wsBoGn3XBpeawdwPQgQxeAC2CJrNtBnYuSCFH9noLcHr5F0xOAmuHEPRW9l7qtLm1cNOubW2rgRE4PyWAfuwM/BPdlhfrnHL/xBlc9/Y5qFzgTTY5LpMAd36HR3NQ8sK4GkGticwZ32DoMYiHnoRZ/lxGcqYKQeOz/lgSzLMtf80Ag0b72uy1MHY9pJwFiSTwmIDX7katV97QCulUVJDyFdggYLl22R/Id/0OLLT/X4+d9Zx5mFCXrjmnFfUE8N1RSCxJGOr9xAI68INKUYBMHFuyzFMgPpd5Hgs8zkJkfx8N65+z4Ad+kfXBCoGmdR1gI4cVaASDi/ZGlnfd59R4srtvikyUkOHz58TxCO/0HU7534S2XwpZUujbHKpS8+/8g/zLqvcde1dV487PHlRwPOLTb5ofcsoOUUzY6HKcpfc7A5lhbDpWxw0mLkYtjVf8Yoc5f5YyQQEk6TFi6AzGufnQ3mgK2VA7enM3wvw/dSQj8h8BPqlR5ad3nkpYzfvrfBlx5fS2warG0I1oROljgLsPDJVX6InLnL7J2gdcQTr43TjTUbqjZ/4FYzeB5oGkmSKkJPccvlPVLjAN5LBP3CDYndyDVPFxanyoHoso9ONgjWjAs+8pYO9eAcv3Nvj0dfm2ImqdANJY3UUtPWgVzncYiyeVxic5DnxJDHL0U9lqTE4t8M5JTAWwL+BZ+xF12hCz2epBnNHizGKX/7fSvccmnIK4emePqARR0+wksHzpGmf/G8z58L8JdfO8WTjz3E+PjYxm+8cOTNL7+2yJ3XKnZta9Du+Rw6OsZ8c5kwB1ORLneFQUVtg3ldLe2YfDVrDy2HMsaLILVoWhhKk+EAfCVNDnCT13zn4FauFiPwEnw/IfRiqtU+vt/ljx7Q/JvfW8vR+Um8IGR9XTAZZDQCSy2AWt5hXwlctjPME0KufiXLVwInTxZaGZ3Yx1cKX9pBgFk6pUHCJMtT23HqUfH6rB/vsdKt00tEPm7NxQqel+U2Xz74SKqBfz0MXF3l47fd2eHGK+b5xd/v84dfmWYprdENPGqepKFdDU6gwVcMmiF0kfSRDB7IwtIdXOsysYw0wL0O2Ev3brVBYC/ydxj5u5Z14zFXbRnj+Nk6B8+kNKMON+5IuGzn1f+X9K/Y/4e/91uvfOiD7ySobfv/BnCs4Yqrb93+2v6DH3v+xQOcm6vxibMCT1k2jQmu3FLh0LEqW9Y5u61IAZdOeRWoR7X48CTFN2HuMmvbgVtS1JIPmds1Tsgyc6vMgdxL8bWTJIEfEXg9Tsym/OaXa3zusSmOzU7QqHpMhjARZNQDm6feC3DLHNxykBQKc+0d+O7BadQiPvuE5vDJCqESLmNYOCglJTt0jJwOT1LNZdvgvTe2+e37puhUNY3EDTIK4jxuUAatXT7BaecC5KXprdatClvXSH7qe7rs3XGG3/jSJMdmxlhKK3Q9TU0JqjnQfenq873cZRqyuC1544U7VbIQi4jzAqyUQDoCWnsh4Et/v2CvIkcyWRdsWjfGviM+1dBw17U9PF8Qx3WyaHHvdddPfXrLttvf3eu2/1yp8k0B3u0nVALNkUPPb046B3ZNN3pM16tEiTv5sapirC6oVSyIFKmMm3ZaVKhdeO5Dhl51wuUrZled+CCYL7GJlLYkT2xesGVy16Rg7wxPpa5zx0sJgghfR7SzmF/7tM/vfHk9ZxfHMarC5Jhi0reM+YZqztzVQfpe5nUquTTJvfMBuH2XvYySmMNnAjpxwESQuzgDX55Boqec7EkzSZJoGjXNjs0xKujTjuv0fEEln0/i5/LKyyWKLlwPoV4neFVMj3X5kW/rcs9dM/zOl1v85memWOjV6OmQUCuqWlBRliB19feedFJFy6GtWayKBYlcTKqUP68mposT2cX/bjGbxss7wrtdy9EzGWM1yXKrgVJuVEWv32U5PbTrqisrm2++6foT1iQI+fojmr8pwFvNWZKgMY0Qn46aj3kfeKvg7HyddleRGre8BV7mtGiYEXgZWro6h9WJgvKJDoLFiy5RhcQZ/hcnTexAcxdBpSwBXMm8Sk5lDuA6Q6sM30sI/Rjfi2n2Y554WfJHDzT4zGNT9LM6vu8z5QvGfUPNt1QDS9UfgjsMJEEgCXJp4hJDuTORA9z3XObz+HnLo89ViROPoGYvCDCLV5H9c2ltN6bO8zR339jmkw92OHimRi909dORZ/FT8BKDFxuUks63lgIp5HC4TwHwwmM3kmqgWTfe459/Z5fLt0b84QN1nt0/xnyvRl+5Ov1QCyoSApnbqIW9Kl1afQjwUckyvC+lz6uIrPzzhfc7N8IHD417mIrMZ2YyOpFhcUWglCTN3HzzUwuWraee8W64/rpPd9sr1zRbnflvhuFvCvDUjMt9Bw7f/OTTD40tzS+zfXPEpdtqKBEQxz69WGGMyK05gy6VYAphLwAvVlxUs11svSsvg8UFcIFPiblF0ThhcjswcwBX2UCOaJ3Q7CQ8/qrgd+9r8MDzYyw168hKSL2iGPcsDd9Q9SxV31LxyVnbMXclkIS+IvQFoU9eoWdycBu3MvgpSkccOgNnm6FLrOT6dnXipPCRXR+kA3lqJHGsWdcQXLqlxyunUrqJR5QP2PFjHPhUlkuUIlEDclVnzjB1nsufzNWHf/juHu+8aZmvvdDmE19p8Oz+BovtKk3p0/E1vhL4UhBIXA+ntGiRB+ylsuNiNQLXoTS4R6sbJy56ny8E/NCGFANZ1E8snb7Nd6+AXpLRT01ectrn0q1djhy4d2x6/F03b9p2+X18k+FB3xTgzeXZIMv49fsePl87OdPg2aMVdmzoc8vlS2xfK9iyViFEQD9WGDO80GIwF2/1SY8Gj4UDMALqMsiF+8tFIClKxxDYJn/PUDLDL9wMmTDfTnnkOc29j9f5/KNjzLVqiDDEq3s0NIx5rpOn4pHLDqj4Ij9kXnKa625fEBTsXQBcp/h+SujHWJvw0PMBJ89XWDMp8KQZ1t2sXs3yRJYZVOIpepHHtnWCu6/r8rlvxHQSj14iCD2LnzoWjxJbWqXUwK9GyBGZ4o68USE/0lRTCSI+/JYeb79xkT97rM2XH6/yyMt15ppVesKn52u0p9BC4EmJJ3NGF06XK5Fv1CiKe1KWj6UbvhrsgouDfhVIhg+JSxB2EgEyZfO6Hles63HL5TGXrBdcsknS7p2tGcOvz54/dznQ+28CeF09g6r1uOeOFt94ZYL9p1IOHzd84fGYjWs73H1Nk+95W4e14wFR4rkBO2ZYNbca2KOBRVm8jf5Y/GtRrlUWw5XBMbfJO+SdHPF1Qhgm9KOMg2fhxDnFp746xn3PNphbroEXohseVSWpe5a6NlQ8S8WD0HPgDj03k9CVmcrSIfL/bnOQmwHIfc+1px09Z3jleACely/ztpSiFyMUVzgJgwaOTJBmbpzzVTsirtjc4cDZKr1QUE0FQWKJFLm1Z3L2LtyUwoIcapWBz55bkcaofPqA63ivVCK+/10R77t1hfuf6/DHD1Y5cS7kwNkq8UpAGmj6WiOVdOl8QEvprF8Bktyxyj8PXJaL3NoSk42w92jA6f6BsW46bWIhSSxrp1p83zsWeevVKZsmA9KkxlKrwTdervD4yzF7j+2nWq1+Mwi/PsBPnTkr0qT7D5//xq+vsSRsnK7he5bFJswuh5w4H/IfD1YYr5/mR9+/gp+EpJmXj2wQTo7YoWuwGvSvF4YP08O2lMwxQ9YWObBlRhC4SappljGzCF/9uubomQoPP13h7HKFo+dqEASoqibUipq21LRxLoJnCbQbHB945CAuDpkfKgc4uebOwe1lBJ5jb/dgxRyfh/0nqnhy1B4cSBSG9eCD8oTCSTEyn+3iccW2Hpeu7fLqsZRu6lFPBJEGPx92qUoAl1IgpBxh8gIow6InMQhmh72UHpHn06jEfO87Iu7c2+LscouHnvE5djrg/uernFsMyXoeRmoSXyGk69MUpa58x+alcomL3dUSs48AvAT4IiFkcNWkWZYSZl0+dPss//SDhpn5dZyeHWN2MWB+RTO/DJ6fsbTw2prv/vYf+IffPXf2l9as3XQR7+2bAHz25KOkWfaRA4dtrRc1aFQlldBnasywfipjzZjhof0VfvvzDd5/Z5NLNqXEsUea6cES6RI3YsQlsa8L7iHAnf62pYCysP+cvvaCjCSzHDsteOWY4qtPV3n1uM9rx0NaUUgUB+D5qIZHoARVBVVtqJR84EAXdRpF2ayrCw9yWeL7Ct+X+QNgh9rbc4P6fc/p/NBPsCZmdkkS2QCtJb606FxPlv36wVkWLsqgFcz1Nsaph0AzPRkjVZ9O4tHVwjkdybBgTCszkoGUomy058OOEFgjh0ye90xmmcTL1GD8RDfyWT8Rs3VdwvU7I3pxj791vMmrJ3y++lTIK8dDjp0KSVKFDVR+UgpkuTy0GEMxLF4ZYfMig1nmN1v+yQyLkfIZLNu3NPmhb2vR7W7ghUNrODvr0exAp2fIjGXrtE+WdmpfvP+pjwihfun/FYM//eRXgCVVEU+JO65p0elW8mGM+SD6RHHFDsObbpnjG692OL8k2DCVoFRKreEuLEhsPkqtALo7n9VKu7gOdsDcUrhtSZAWpCGNLd2+A/+JM5L/+kBAN1G8+FrIkdMBCx2fKPNB+6A8VEPhS0FFQVVZQoUbZ6bywiPlWNv3hEt6lMHtSfxclgQ+BD65a+JS5m5HiTTPiCZUwpi55YyvPlmn2Q6YGBPOSSqmBshVAVgZ5KYUEBpJFCnWTCneeWuf+5/tcapZo+dJJ1M0eKnFSwrPOvfYZebsQsqzTuTgdxirS7/DAd3PFJlWpJ4iyTRJ4uVWakLVT7jzqpRbLo94/5v7HDoteWm/Ry9W/OFXqxyf8UBIun1N1lOAO0mrS+WcjMZWq0msVKmFSHFLDa6QvFJN0JWU9Wsinjukeez5ENOHJI3zMc5u7Eg/EbRiy5pzB8UH3n6duu/+r6XvfufdfzGAuyVu4tc+/6C8+uR8k3/8oTkqnps1FyfugtXCiE0bF7luT5ef/s1x5pcl1++O+fDb+q6bI7VMj2dce1VEtUIe54oCw6MsLoZPs5TQ7ApeekGz2HJVe0/v9/jiYyH9RNFPNOdnPIzQJNbDCA+0RgQaLSW+ElSkJVSWQEGgLIGyrgZc556vHjK3X/RlDsCt8h5NMWBv3zP4flGglQ3Y2/cTlIr5+guKz32jjvK1s9tG9PfrM3jhhRfNu0mm6Pc93ndbj88/0eIPHxqjk4bUch3uFTo8KZIydtAtJETxJBXsKUtavwRwk0+Z0o7JPa1ItUanmQO6yugqN0h/Iky5dU/KLXsSEBEfekuXfuLGuX3hsYBnXvOphIKFlualfR6tjkSUPdHVT3aJta211ELLtdfErBlLXUdXZvnw23pctydhbknwf/7mJM8fCFi3JmPcd7UtnRR6saES9vj7H1gEE1y9aW3j1wT2R/5CDJ702uiw1vjkn35uz/PHlXrilUnOrXTZua7PB++aY92YJU4k6IT9JxN+7uOTPPFynQzB4TOWLz5iwGbYzDI2kXHz1TH10O1teWH6qkzh+W2RgpWO4tlXfFpNhdSSyEoiox0zCQ1Kg9QIqZBS4klBqJyXG0iDL0tglsMZfQ7kYtjwkO8aUTQel8HtGD4vq/UKBs9KR0qgE6yNObvgE0chwZjEV2VrTYxmMUvBVpFeH4JckhlFnHhM1BVb1sT4ok8vDeilgop2QzCLGpIioaVkubxVDn6X+x0yT/6Y0hB8kzcMD6VRmmZ53kC5BJlKSdIMlRRjJtyxaY1zqoQwXL61T2x7SG1pNgXPvqJZ6TrZNJKduyiJu2aIWmi5+eqEsQkLqYvZQukaMnZvsvz032rxUx/zWehE9KQiTi1rpyI++OY+O9dZrrvEcvBUU01Ul/bccPsHG0vLvdbkROWbA/zUzDxaLf/S3LlTb/HjHtdu8pk943PwiOW+pzMSE9NPUiyGJFO0Oh5Z4Lb3Si00TQbCgDK0ViznHy4G8ZTz8BdJY5VT2VJiioJuSjOOiyBHSrRwM/cC6VLOfm5p+XmvoaeGjFeA29Ouo95tvccA3K6ty22JEvgCXzMoMXUMnrO4Nvg6w9MpnpcQBK4D5ffvr4H28aQYBpgDeSIuYPBy7U0xJNSBzQ3WiROPj76zx5890uO12TqdzKOauk1pXRWgHXbi5HvyDH5X+XoWK4WRpQKv4jCDWhitFV7m5qV4OkMplWeDM2fBKgdsF9ybweAgJQzSGNZUDd9yuwHp9gYSpRV5CPTCLyxiMWdEmMzHxCKfJemGBvWNu2a3Xm74059bIc1WMFblg1craFmn1aly8ETA/LJgOTr/lp27T/9SlmV/789l8E998UFA+hPiLLfv9Tg9K1lYTlhqGRbbiqVeFYugl7reyDB01k5my3XAFptPmMqKq0zpGGk3Kwcnw2W2KGeTRcQuXAOxJ/IMqrBDn1bmoJZFU+2wkMjT+edBLXTehJt3twwBLgeyJfDtoKXN901pcE6Kl7O3rxOkjDk5I5hvhQitCSQj8mSQni8lrAZXwY52Mg0DQUWcekw1Irat73FgJqKXafoZBJnAyyxemuvwlIGzNKzVUSOdCsWi6Sbt2kGT8FAaGXRmyJRE6WL7cpXPTsly12YU2IVNO7BshR04XYWtO1DhwpbiTFF6F4PvNfDtbREYF4NT3a50WDeNrN/3abZDFpsBCyse80uCE+djGuOn2LntC36WXagOLgB4mMw6ZhEx2zdm1Kuac3MBc8sp9ZWU8Y6h1TW0Y+Gq3lJBnE8mTQykVpJaSK0a9usNpIm9aJFNrswHQdIgNUwOaDHMqmnhwKzF0Gt2FXGO8HUJ5MWICK3c5lJaD+ehOHBL9+4XQC+CzxzcRfePNgOJ4mmnT30/ISXhy09UmJ2v4I0p/EKaSDvqoLBqxS5p8OEIhmHSpx+5Cbbvub3DEy/3aaUhXa2ppIY4T6crOVoQNQRZiSwYVnAOrcN8poqFTLnfqY0gVQKdSbSSpeFAagBuJYdZY1ceYQaZZFECeBnUxfvgwR5x08RAqhVJqWLAUJFPSTKVT+/SdHseza7PUtNjflkxt2Q4v5Cw0EzZ4fV58pkFJ4O/GcCff+4BPC+848ThR28UaZtKGDHZ8Bir1fHPejlYUrTK0D2LH7nevygTJMaNV8tsPonKFswuBlOnivlJq0tgBcOsmMwzZir/M0XevFBOGxfZtaL2W7r95ItRCGVgD+agKFw/4sUAXgSche7WhSyxud4erSX3vQTfi5lpGp4/UgHto3N5okcKlErFSSN5rdH6+OEIBjnwxJPE47pLIqbGezSXq3RTRVWBl7pzUZl1R1IGeJ4zGPwiWWooye+BsY7NjcAoQ2YEnhFkSpIpQ6YEqZJoOSxckwXIC2DLYU6iKJ0oNtAVspSkG64hoyvKRaZnDS3NfL575mYe9hNNr+/R6ngstTRzy5KZhYwT5xNmWwl9Y2mfhLAub/z299xxx7333fv4e979nosD/NiZFE9H3/LwS9m1R0/FCCHYs6nDt97Wox9vIE50Pr/EjdjF5lV8WT65yLgddrMBY4jh6Af7uuGlS/vmaB9JBRdsLkup4mJK1QjAiw4e0LIEbClQg+6VIbCL5lvH3rnm1gz0dmEJOsYegtvL9bfWCYKELz0W8MSrdWSg8aVw87cHFYTDNjpRWqVKJL5qNFrhiSsyo+j1PW69ssd772zzm1+qE2cBnUwSZpYoHa5WgxVDmDwZY1Y9UK/H5GC0HA5b0saxeM7gqZKozLhMpiwGBRXsnbs3g7qjYba5GIk9POeL1CQhBuC2DBNew/FwuVRL3Ojpdlez0tEstRRLzYyZxZhTiz2+5c4OOzZJel3YuG7NtRPV6FsaQfr4RRl8cfEUlUrtnS88++D3VOwKMpmg2bHs6yRsn46oBpbxOvRjTS8y9GNDkOVb8QmLEm44ZmZyPZ538RhK3Rvlu1u63wXLSYbyUZWaGgrGHtZ+UwL2cCybUkWjsciZPAd73g3jqVFwu3EKq5g779n08/Y2TxcNB2npSIhJ+OOHGmQ2QA2yl+UAc9jXWDgbIxo8343YGoZLc24XumBTI/D48Fu7/MGXI1ZMQi8L6WUCL2XA4lJaZCoGssHZhatrj2TJmhSU55lkOh9pbQSeMm7CmBI5e8tcokhkDnYph7X3hfYfllIMqz0H0nNV2fRQhxfXQAz0djEaLi0Geqb5Hp6xotcXtDqWVjvDGMvenR57t41R0Zr5SLD/UJtEt7/nXW+/++FTZ07dv3Xz1lGAnziXUK3ElzzxWmvX5NgMH37rBOcXfOLER9gKtTDD0wlRrJhfcjdM5m6FO5+i+qu4gKXWJHsRcJc0SjnVS4n1hu85e4uhO1EEcloW23znnyX5iDaRz0EpDbvJga2VGDopAzvQddy7xmSbM/cwwNQl9g68mOePSA6fC7HKQ0mJL82gKGkoUYYCfLWLUhwO3MMGiCLp45Zoj10bE67Y2eEbhyokyqeXCsJ8Eq9ORb6y5V04aa6FkQgMo79SlFhclKSRe9c5uJRx+4kW+xfpTOSz2+VgpRgO7lTDGiFZZnFGdPgFN9yWgs7BSu+mLwy8+nwEc2aGSatmO2VmKSXNLJXA47HnFVEC55cstfoC73z7zK6JRu+S0OvdfwGD+zQJRIzO3F4qu7e12L5JYY3TofVKzMwKPPjSOKfnNaF2X1wKBttzSONucNGSNQwsVhW/syroKrH3AOzCjgC9PIFJiWGT7LDVSgwkStEtrgfgliMALw//cd32DIA9yFYOmDvD1y6x42nnnlgS/uShKouLFUSg8aULhtVq/X2xIqTSdTFmlFVHvGmjSBLNmknJd9zd5vkjDaIspKt8KpnT4rqIVyQ5uIu1wuSeeFGYm0uVVXrcDVoanUqlDWRKoY1BZW5mpFIWmeWbFJRYfFj8VpYpXCBRLnyV+3HzGG3kAS/yAu6CaW3Zsj4ish0eOSCZX/aoB04+GuPk8fWX+iwtehw80iJJ+hdKlPu//hmSTLNzzTm27lzioZck8818Kzpp8QPLoTMBjz4Pm8aMU3Y2L0eQw0DRyG/C3iU2KQcfg0CMC9lblMFdDPQZYfKCtYfvDuT5uDY9CnBf5wOAvGLrwDwppC2eV0iS/NDZyKGV69x57SR8+oE6kfRRUuXZy9EVZnUGU1xwDYYP/qgOz7VopkgzTZBpvuMdfX73vi4vH6uQKI+ulPiZye1RgczKjorN28vKotDkv2t036IykxfgLljcFEOBjEFmhfSyA/YuJhgMy5fLo99KAB8Em6vLp4cgHwSbZvRaWOtknq8NtUrKO250DeIHzyq8QA1IbqUpePIFnz/84ovcuvcoUTyUaBqg0zxHtbGh+i9/4dd2/Nmr58E0eO5IyHJLDdCnpKTqC9ZW3egB8lFpEjF8Yl3pyEi12EiOZ9XtLSRJ2WkYMPkA6OICBpf5rJEC0GWgl6c2aV0APdfeahW4i/R9Aey85c4btIiZXJ6k+ZGgvJjDZzXt2Aelc3liV5XHrl6NRhFe1sN2tReed+MMEz+amifYs6nPy4djMhPQMz5hJvCkcK5NLlUGLD4YhWwogswhkw8L4YqRa9rm8VI+Y1AZyJQDvJRyMDyp3PsqJaSliQbF7xy0tg2K5spMvorTR1aU0ezuUJu7VSlOJUvNMe7a6/Pum2KUypC4GGC5Lblpl6VWMezauWHHNW/5h9Vvv+cfdXft2OQA3m2fxWZL7/jWO9f+xBdaPjOL01y71c26SzMzGM5TnMTqTnhrBcKCsmDFcF73N2siHrB3qWxhCIrREWLD2XlDwA87WvL3EnPLkiwp72LsKXIv3IHbAXg4FGjA4HoVexd9nX7MUtvwn/60zmIvRASekyclN6f4juXzeb3XcPiRyHdeKTO4c1TSVNOoan70A22+9nyDxcgnlpqelPiDHsrywzXc4IvcNhwWQJkc3AaLXOWsuP8tYy3KCidVigA+EyWQC7IBixfkU25KuQi4v0nd1SgZilUP/xDoceLclLmlcPDPTT6PPE4EcQQnTmdEeuNPZE/vfzyKen82YPCHn34N7QWcO3OEzRtW2LN9kjNzPp2e297ZDTN3W4n0Y0O/nxGlzjEZzJwrvrAtPaUDgL9+/ckIy1Fm7lUsPmDwIWMPgV4atFkCtQN5bhnmAB9qbjMIKgeypAC2yvJZKkP29lSC78d86iGPfUcrID2klASyFACLUQ1enNzrVhOW2Hwwe7skU1LjWs7S1OOqXV2+7c4Wv3tfiNEBPekTSDFM+kgxyqarmFzYEpOPJFlKrKnIwW0xUiDza5flrO6uc/67BvGGk0Su8UGUNLhYJc8uxMCgEaa8wg9k7ZDBCxB3+5J+5PbvzPKt2pPUldCeXcywLLNl2wGa8xlxHDEA+GKzShAEnJ4NUZHglisTKiF0e/k22amb1h8lsNQ0nJ+3xFn2OkmM4ZM5lCbi4tnLsjwZgFvkgYsYVF8qwXCsWAHsAtSKUXBLOdTfRcp+APASuItZhQXA1YXMrZVjb0+7qVXLTcMXvl5noRlA6K2SJ68vUYoHefQivY5tV+7EySVKkmomGopvfUuXzz/RZ7ETECtNL5O5PVm4KeIi7WTFLzODMlosmAGbD+d+K5vr8GI0Ra7PlQQjHXOrwYNUgHwIarka3KXvIMSFGBhsOVOK0+xQyYwwfC+SnF+A5VZKlBg3WD91KqPXt3RiuGKXZOfmgHXTFZLEnatemNtHrTa5/ejhp/6+aZ3CxIJNa5t4WrHc9ogTRZY5UAV+xstH4chpTRw7O27o9V6w+owEFqvLT4r/NqJVR0A+lCkFaw8BXp4eO2RvJ1PkYCeHMsA9XYwsK8sSc1F5onU5qZOilctcHj8hOHQyxBAgpHNPitIBVWJuWTqHwfMvhnBbLd8KC8/kg0rLvZTGSNJMg9Vcti1m14Y+iwcq2Mx3LJ6JQelC4eIUEkFQLvQqHJUio+y2kWHQnJJ/F1kacC8d2I0EkzN3VnazpGA4m0aMgLvcfV/Eaxeh8Av6dgcEOMCDazapE3Nyf8arR12fatGBH6Ww1BEEXsbUouDPvj7HnW+65u/fedubX3x+3+ETenZBMJ5k6/cdU+/8rT9bYmoi49Ril2t2Rdx8mUUIZ7R0+4Z7n9Hc9+w4c7Oa6Tr5zO9i9O7rOwUXexV/V4jhBRhhPlkOMIfvBeDLskSqIYPrgQ8+PFQxj0+bEmuvYu9iSJAasrfKf9Y6QamEL3+jzuGFCvhDeVJ2T1afw+pxERfc31KtzsimT6ZUn1KU0caanWti3nNrl2deq4Jx3VM9KfGyfMhnNiqVBoC7gG4ogVsMGNxaB2ZrBVY6yWJsDvSCZIpxEhKnxUujJSgPChKFk/Pn6PDV5Jf/P4cp1xnlacOGNV3ec8cKNpDc/3SNXs/NQpEq44Yrely7I+bm3QZNhx2b03dWZLR+upGd0L6nUEowUdNcsanGQkvxhw/U+bjosGtjz1lBCJJMc+h0DZUFbBobMqtSbp7doN7+LwJyy8UlihSrXBQxUu88mAdS6HCRg3vQhFsCdz6fcLBtx0CilNl7OCBoMOJNmxzkqZMnKqFSjfnGQcWffb1Gr+9DVaOlwBOj0mR1gLn6/C52bUb09yrLsOyLJ6lmrK55/1197nuiy9MHfWzNo5cF+MJVUrqmYFECd1ETMlgvB++DybAUwWfu6CjH5pl0etyBexhwFtacMEOgD3S/KZkDOcgLy3A1sa1m7gF5F+Qg84Yuipnjkmt3KvbuavOBO5qkxiCEQQnBjg0Ck05x4PgUB88YJjdrNiSWqC/Q6ybb+D5csaPJB9/apNn1sY8KHnhhnIWVcaS0eAJCBXUfJsYsY5XcasszhuUbewGw7YUnVH6iL5AmqwA+lCdihMnlQJ6MZjCHIC/KZl2iQKuLHCVQewO2dodSLsD0/ZgkzrjvySqvnaqC5yGkykFlhzNDCvZ6nSrCEUelzNr5DSwnOoogszgKuzCONZdvTXnX7R1eOlEhSn0y6dEzCj8rAG5LEmmw86UDW1aA3IyO8LCAykWMNU6DF46GFFjlwGaMA56RpcDfWoRZ5RwVEkkUIOcvJFGKAflCuGoDJQErUTE0Oz4wxlgt4IotEZ5OB5WNIPja85I/fchwdj7F3xhTm45Zacboe+//Er7nMTM/x72P9Tg+LzCmwo5xQ6iHtR5uipUoNeo6602VZMNFv7x9nXKb0okP2FwMGXxQyyGFWyFKwC6P+i0DWxcp+9Lk1OIoZmI7jW1L7G1KwM7ZW2V51WRC4Me8elJw/xNVuj0fap7bSCmvQR/Yg+IiWcwL4pOyDs/Z1I6Ojh4weLkhOS/AihOPej3mXbdFfP6RPi8dC0D79I3EL7S4KaTK8PuQkSdcVjP5ENgW0BaszGe5S4FRcrCqDMojSkCXpiwb7aoA+yLboYiL4IOL28iFLZzm2xUmRhAlklbXx/eqeKX9Pj0v5dLNXf75957i6Izg4NlH+cIXX0OQoB95to1Ugn4Pkt56qtY12lZqznlQJdYs9rrRA5di9KktR73DL24vdFEGT/ToRSgPXi+DfMDeJTYfFFmpYW3KsJWrkCXOKRnMCh8B+TC5oweHA7ZSLqnjeQmpzfjS4xUefbUCoQbpGpr9Ik1eBjWrjvIPFyOwVdleV87KoBk5s2IQaBZAj/oeb76qy3vu6LLvZEiaelip6AmNl5W+jwGRjerg4dcYBfngninngRffTVqDVU66SCMwA2LJ5UOJaY0ZYuGCEW8jdmFpRbej7+UZKcWqIwVESuDFgp6WpcH9xTxKd4/DsErgZYQItownGOYQWPQNl/bRClZalgBJsyMHGzbJ1wFhuRWr+OLDm2QZHWbvLuTFAolBcMnwf28gTS5g7QtT9QNJkuvtIZOvliLFZ1OaOjsEdaG7i1p3b+CcJLx4QvLph+qAD9JDCDXoKtJ5nfqF5QVi8ADnZ3lBNm9wUykx9yBVLZ1UyAoWFaV94jXWaj781h5ffbLPs0fdJIFEKLpZ7osXwSY2HylRLnwqq+D83gzIaFinLovEncVJFFH8LAagLgJrY0dXLlNeuUpyrQTtiyQLS0E3QGnX6gEORDmZNNT3zjb20QqWOxnnVjSx0Qhh0YdP15BSEEcpnhezY5NGq+FTXFScFb989RIzus9OsbOWoZjzbPKCmrJMGerS8sMjRsAtxSrve8SeKtWFy2LYvRvVoUs7O6wGt1cGtx6+l7W3098pnpeSZCkPP13hlSMV8DyQutTYMFo3U/6+F9Pgq2+xLX0Y7nBRyiyWi48yiVF5djPTRLHHlbv6vPlmx+K9zMMKRSR8ehkocq9aCERWlFVYREbJURmC3FqLVcNVxVh3XW3O6NY6krFWIK27P+4zgyK713OSRv3wVddhBDulOvW8hKAot14dkQ72ACptLwmOlOsVy/a1zlSwFvTmda7EtR5YJuuufd/t4SiIU0GSJ3qSfAfbgmlcw+zqrbZF/u/lYH9Lae3giSxHyoNlM78ScgTgRYB5YSVhGdhS2hKLD7vNdb67g7oA3EN5oksTaJUuWYIqRStXNXj4vOAT99WJEg+qXi5PGLSmqZHMYelmjlhEryNR7CjQyzLFGDGqxy/Q4ppaIPm+d3X50qM1Dp51D19mFL1MOXcnE3lNfQHucoHbKMjLM3hsnuChzN4WVP4ASiuQUiKtRRoHfFMkfkpBYrkfVay672Vwu1KFIZbSfBNg14ixalvJYit347LqWQpJagfbhKfGDSvdtUWxbsrtNqf7jXevG1P7/o9dkw+yZW1EnPhY49OPA5ZbAd2+Rz+WxLEiHszRG27dnGaQpO49zSCVApG57SiMKDJ1ZR/oQgYvJySGGyEVXvho/fdw/50ykw93UlvN4KoEbq1K7zob7gIhTSmwdEdsUz77UI0XD+faW2iUkPhFf+iqFroym5dr2r/pa2RZHlqFtpApxjhg29XJH03c97nu0h4feGuHX/kjn57xwGgSKekZV0orjas0HDhTDDX5hcVPZdvQHSp/l/n3LCSLMW6ylsldFCndPZYlgjJyNIG3ui5lRJYMdkN2tU9p/p6lNm+isZg8NZ8al56PU0sUQyeGxY6gkxogIYkTeqbFRz90w/9x5127fli3l0+Nz7V7737yCUUmJ5hrwQ17OnzLzStcujVgqdmg2Qnp9jVRonJGFySZY/kkzYtd8oOcrVNbOARcUPMuSo/z0NIqLfcly02uApEcAXchTfLd1EZY3AyswNX6exhQDg9Vck48HXPonOSTX6uC1CAcew8698sPXPm4yA0dqSYs0tWr9DeDJXmYeCmaIMqZTWPz9L1yMwatUXzn3V0+93CV/Wd8kAqTKSKh8URRRpuvkHnHuchKDsoFMYG7Z+SSxaXvR0ufpXXXvQg8rXR15VIKbL5aWAnCXriB1QU2ckmWFOBOUse8SWpIElNiaDfRKskscQLdWLDUE8y2DZvWtfjwzR1u2C1YWqkQ9S11v//u+ROz43q8kiIiSZZMEyWa5kLKp+6v8eDzHd56zRI/+O5FfK9BuxvSiz3ixLUSJakkSSRRIukr6e5doR0lSOuiD1PIkNUKrBSIrGZAcVFpsqonUxbbBQ5ZW+W7uxWuyeDP5IXALqbSKp0OwC1zByVTKV98vMb+w0PtLYV03veAvVdt81Gyx8rNxoPtDll1cwefS0mXgsHLnvig01w4cMtsMDE2jjWXXxLxvjs6HP1kQJxJEJrEKHrCjdkY1Irn7J0MaDR3OUShw4fawSJQpadwNcBV8RxI18AsZf7dRcHmpZxAyUi4mFQrb9ueGVfcF8UZUb7TXJQ4UDuZDFEq6MWCpb6ga2L+7j0zvOUqy/rxOgvLDfrtkChLmVtSWGnQG9eHNCqSdbUV1o+HPPZihdeOC04ujPF7X/W485qTXL/TLfVB5BEn2rXzJ3nXc6zQPY21ijQVxGXvU7gqs7LiG/G/xYXBSQGWkRLZUraw3Gg8YO6yFTjy2YFaFcwts8FIhEKauD/LrcF8R4hj5xX//8826EsH7tXB5Sh7j26INZhH/+fIk8HGTIM0eR5kmqK6b3VDcl6EZR24M6NJM48gS/l793T404erHD2nQSWQaWLh0cXlFZTIbbds6KgMU/ir5ErO5OXvJK1FMerXqxzUUppBal+KYbLGFFblAOjDeGv1pSmbFVnmdpfr9CzdyNJPIMljwDgT9FNoxZKFfsYte+b53rdm9HrrOHa2wb5jisde6TNeazK53hJbH334tGJ2TnL+lOGmPQm+X2XXFo81Eyn7znk88Yrijit6GCvxtE+S6kHXs2sK1YS+T2ZC2l1Zqq0Y3uhiPHtB5Ku7dcrAHm1qsKuCSzuiuVUJzOX3QnuXXRSVS5QC3GpEojjd7emYVmz4zc83ODsX5CPinDWoZcHeq4uqViV3KL+Pbh94UaAPbnAuDRiuhPYC67DkiWeKTCqyVLNpOuKHvq3NL37Cp5m4CjNjJBG5pZmVM5uC4SjUklwZKeMb/mzJwY2rJCxkjM21t7KuHzM3y0buZfGzsIU2L1aN0StSznlYLL3IstCCTiwHsxBj4977maCdWmQS8+a9XeaXJzlwbJzltiZKDLu3Wq7aYdi7S1BvCPSGsYyGEIylkyjhsWuTO09rFT/0gRUu297H05Z6pUvox/lODu6b23w4y7GzNeJU0elr+nHRa2jzp1VcFNgXyJEL5Mkw/T0E9pDNi12MR6VI4ZwUW5rkLJ3Xd6/W3kql+dw9p711kPCZLwV87E8aRMZz8kRol7kURb3HaO3JajAPpNfITbw4xEcrCstSoNQ3aaVbwosUfm4ZFiMmUqMJdcqPfKjDoZM+v/NFD2QMKDJRBJzkwaYYJFCKKVQDL7yclCseOmFRDFcZcgYvWhRdKr8IQq3T4PJCoJcL8coPWHGNXE2Ra2LGWla8lFaWcXReEmeC1Oazw8lxZVLIEn7lM2v50hM1rt6YYclACMZqIQePa6bXV9lgPPTkuMWXhqTXJQgEfiXlyu0ZE3XDWK2Dpy1pFiNEjNZOax8+ozl+TiGkwAjNpx+qkPYM6xspvjfcJKlcgPVNGbvE0qIE6DLQR8FtSjZh2TkxJRYfMrXKgV3M2ytm7akByN2swaVl+NOvVVmOCnB7IKWbeZhXtpXT8hdILPJAs8Tiq/FdBvIA5CN+cN4+NmgpK5h8NXsblFEYo0kzzZifcc/bunzu8SqLbQUyAaNI8OiVCrDKJHPxFcU9baocfMpRoFvyjKe0A5APGLwAvXRiSFIUYVknW4qSDuH+B8sVo1rB5Jjm2sva3G3n+NwjMv83luPnNEfPqJxEDGhBmgbsPy1YmM+YrGfs2REjU0U3zlhsxnihQc8sSmbnFc+/GILUbFq7yNTkLJm0HJu33P+ETz/W7qmXEqkkT+2v8NzhKlL7hL6PZzS71oBvE8bqisBTbk/HQnOtAoIqOSSjzL2qMq+8b6Mq/rsdpONHZYlZ9bmQIWaou/VwUqrWWa6/nUTxqilf+nrI069UMSXtrUrB5ep6k4H+LoF6tMJq1FW5EEyigNRIwmcwS6YIMlfXqNhRXzzNPLRJueXKmPfe1OX3v+w7LS4kFklfqOG021x4iJI8KX8eeRRHurMsVrrg0yKw0rqAUxYrQP5nJRuwsExFsehLAcbkIBcjpOdpCH2YaFi2rddsW+/zjus7hEEP34t56ajk2QOuP7R4SnuR4suPj9Hq+GyYTLltr2bTxBj9PmzbZGk0DPraS2I66yJ2jffwPMFjr8HPfmIaJTWtSLD/oCWJkvxOeaB8pOfhB4oqgrqwrBs3jFVcdinNciejpOkKp0SIUT+76NYZtlqtdkzKg3TsQJYUOrzYaPVi4C4De2SLwTzYdAyeoqSbc3L0lOQTX6ox0/bcftfSDXpXwrF3MZ5h9WDN1bJrRIPz578ulCdlu7BoSB7KFGucP16uNJTSbX+yrp7x/e/t8PgrAUdn8wssFMYK+kYONpEqymgH6e7BXRoFuc3BrHJZUtgFdiBVhg9osSLkSsYxeK7DJbmsMfm/Ma7Movh1w1oiRyKtjub84jhTYz5aVdAy4pbLIu66JkapFCEzEJZ+5PP2a7p0+jFapTy5b4w/+JpPliru6AasX+cXDC555kXIEBw7V6G95BNoSbMDRkZQEaA9hAoItaKuoe5ZGp6hFhgaoaswVFIUK8/gNdBgYpiYef1AstiOuyxNhiMLLmDwC4LLAsjDY6C95ahE0bn+9v2EKDP8l081ePT5qqswky6x45oaiom2w+zlcFza6PldYImVEL4a8K9bbFSWKJR6NAezCw3SSFQuV1Te2pZKjUo0b74+5oc/3OJn/otPlDqAgxxKFUq5hxyw4puAfLXDAjYn9kKTi5ytHePLIp1Z2JCSweYHg8KvvJkIteoC4RI+/VjR7Ph5q5omDHw6vZDAj/G9CF/H+F6CtQGTtbUIUyHwEq7ZmVENe3S7li2bMhpjBj3VkMQ9j9AbI800uzdYLl1vCHzJWD2hNjbHb3/F58j5GlVPM5ED2+0pOdxXMvDcoJ2ipWzQcV3W2KXPqgRouerzwGNWBXOaURZXdjTILMAtSy6JLAN9mIofMHfO3p6f8tCzHp97tEoUe1DJ2VtKdM7eWpbT8qucE1ZlYouadkb/20X0yUi56GBOH6XESl7BNxycWcpwWjEAuQO8246kGqTc8+YeDzza46vPqoFUwUhioV1AZ0oyRVjnkZdTza8jV4q+ZZuzuZJumKdFOLYuSRWbM7M1AjsAtkDk9UqFuyJL4ysy47Li/ViilEbAYG+hNHXJLWPcfPRDZ1J+695xxtQ4Y9WQ0AdrDVlmiLsxzZYkQ7im4+nxlPfftcB8U/Pq0UlqQcBEI2P31pidO7rc+5zi5Kzb6nrCH4I7HGyv5/a48fIhO0Wf5LAD/mK1JHbgmAyCylUgd//O5JWDZYky9LtlmbnlENyFg6Jkac61LAPdBZYrHcuXHq9w8HzopIlwzonItXd5HJsq2YSrfXu39NtV+uTPFymDKr4c8eVA84IRy3LokZcznMoosswgpSaONHvWJ7z3zg5PHwhoRrlUQWKFIBIKiRh83+LrFgmn1SAf1MuIHMi4FP5AxIj830nA5OA2BeO7+1owusKpBFdU7sggExaZuV7PNBMkKUTxMHHoNsp12ywWY9wqQcrZ+YQ/+coY29fDno0RY3WPeqXPvlM9Tsxo3v8OQa0u0YfOWpaWLMeOuJP0FOzckLFtQ5dNa5f58uOK/acaTISCicDQCErgzrffGwyP1+VhO6tHq63KQl5Mkozo7ou954AuPue7Kxfzqy9g8dIQd11yTaR03TqGjN/7coWPfbaBLbZGERqEY+/hJqirA+JScmckkzkcs3kxmbKavVePsytGmY2UG5drNi4Ats2TPgZpFDIPOJUy/Mj7uxw55/Gxz7msM54Co8iQ9BF5xeFAfOSwvpDJB6PPFCgz6pXb3GGhKH2VbjUoajOKUt2yHakgn5qYb46Qq5i0VGznvpEcAjwbjnKz1sVcl2yOefudyzz4dIgWgi3TsGmt5C03SNr9iGsv6zE12UM3AkgDRUVPMjHms22DYdemJuunF/niU31+/g+mMabGprphrGKpBW43YLePjWPtYs62O9yItGHD72hZ60hNSSmBU7YHi2L2gS1YYuuhLDH559IOBKp4AAxy1Z71A0tQZiiZ4PsJR85LPvdwjU7Hg2oObqkRUuKJYqDPsKhqtTwpp+SL+16uO/mLBJoXNj0MJYtZddhSVrNoiJCrWtuk0CRJRr2W8f67utz3WIUj5yWo2EFJSDKj6QuQZtgiWGzo6vrWuACUAyRSqg5V+d8dMHn+sOSfbc76DIZBDYNS99kNJSqu0WB+fJ7gchtzuWmzSS5VTObE1fR4xs/9rWW0lnz58bX0EkFmFFvXjxF6Ma1WgPY8tB/4TI1rrrs8Zu1UnzXjHXpxl888bvhPn5tG2DpbxiwTFUstxO3dXrSsDVg7PwYDd0bBPRosluzAERYvsXpp4L18XXAPJ6AW0kXLoVOiBnvLDKWJA7fr1okSwwNP1/jaCxU3HFyo3Bp0bkNQZu+SRSguOMQA2COWYQGKv4iVUgZ7SRYMR7uJ3A8vTWItEkDSDHZtMEZhTIYxmqSfcfe1MW+7pcfpezWRkSASMBKLIBZqGHAaBnochBtib8onYC/8stJCJnJ3hVxn5+wrXSXjwHGQAmmGy9WwTEFgrRk0Ohvy88vcDtBJJkgyS5JYkkSQpvmRudqc6QnJP/1gi0AZnnh1jJdPB5xdUUyECbt2CwLfQ9967Y6VZ1/p3vfgU8m3G9GnEma8eKTOvmN1xn3N1jWWRmiphsU21/nOCF4+TH4wIo2hLFGrpcmFWcly8ZS8KHOXGLwkSVQhSfL0+/DncoCZDQE+SOykDtwqQfkpjz7r828+PkZmde6cjGpvLy+L1WVvfrV7UtbhI+y9GvDiQqBfRIKUnZTVA0wHTRDyIs3J0rgMp3DeuDSGNNP4KuMnf6DFwTOaR55RGF/mLO4emAhZklV2AOYLffFVPxcAlcPMZwHmwca/riXePZi58+IwXWq0tkVDhcHKfEdm5Y44A50KkkQQa0GUWPqxIIql204yVnT7HlNjFf7Zh9q8ctMSzx8JCH1FRWnqjcp9mdqxomaiyc7+o3NH55b8H352n+LVI3VMUmHruGD9OEzWYayuaFQVtYqiWlFUQkUYqMGW10UTsq+HI9KKpt8h4EebE4bSY3QrkoKl5epkzmpwl9m8CChVxmitSdGtk2+7ohK0TjizLPg3nxjj8RdqblMe5YN0wzQ96TaQDfLRE25jq9L+P/nPShTnVcQaYuRzuUG6mNsy0n63Oj4R5f7X0rTWkrU6LGtwW4UUOywUcYEcxAbDbvo1UymBtjz9ss9Kr2QDIbFCYnLlnUO/5PoMm6WHFuIQzKv/W/kRGPx9O3xALBdZCwYPddHQwKDZIcvHs7mpaq7YKi2acBJFNNj9wafTrTLVqHDjpZLt0xB4NUw6+/1p94WDGuEK6iu+5MotmkA7iaGkGuyG4DS2kySeKuZuX+iGjCQ6SgHZMDGyyhYsW4JyNXOXZMngsxk+BHJVAmcQXBZSpJzMyaWJSsmCjE98fow/+3oNG6o8qMy1t8i1d14SO5xYZUeDzOIcKU+uukjCZ4SyX0+riEHL1QU6fJBUKQbEF+OphwPjjXTbkEgjByxujCITBmk0smu45y09Xjvm8Uu/rYlFkQCSYAQZmj6CYodNcsnCCKOvPg87gl+b625Z+is21+VQclNyn9yV1ubX0trShOJSDbl08m84oi/fgkYV0ljlu+N5rrF80GSe4gcGVWywtWXKw1q3B2MjTEhSTTeSeTYqH0ms85EEurQJaQ7KcoC1WqoNAV/KVIrVgWY5wPxzwD1g7hK4y8FmsX+jWlVzkgNcqoyvPRvw8Xtr9DPP5Yfl0DkpspavC+ySe3LBeIiLY/eb/oEtXTI3p8+uSvoUAZdrIhgpozUiB7PFiNxZkRJh3CHzYFIKtzvzD3xLhydf8vnqCxJbtNzkciUzmj7O9RDGlrj7orzr/ky67VcGr9wetDBM7kiHZCmGOt1a8q6tPGFUePKiZFOWlgLBEIflCcJuJHaxWrrr1M83Rdu8vsp4Xbus+puvmyXw4eQsvHpMsmlCMTnuLmrhk67WwwUDF5eh8G4zwyAYGlFwg0CtSMevAnUJ7GWQK1VkL0vMrXIQl7W3LB3FpqXS5Lo7Q8oU7aV0I/j53xrj2NkA66k8oeNGQQwqBgUX6u6LAbp0jLK3GGmmLtyU4ZpcAnm5oWAVg49q9GGwORgOL2W+wdcw+WNMweCSTDgtnkmFiD12boz5lz/Y5MkfD2j3hdNaeeG2lYLEKvpmaBWOTALIgX8xkFMGuViFzALUkkHQaXPWtqUAvVgFRqRKUQ7A8LoW45ulEsN6ppxdjIFqmLJuqsORcyHzzcA1le8/vR7fk5yd6zM732XbFGxcE7tCdsNgpxdRJDwGQZZ73opC/DQTpKkkzYZNs4PTLTH5MGVf7AxQSn2XGXs1uNVFwF06ih15tcyQslQKK92mUUlm+M+fafDCgdB53oPDG/jeZfYeJnXsiPwaAl0M7uPqYwgB8bokfhFfYjRdP/hsS+5JTiCylPgpfi5GTeQNEUZaMmMQmdvP0mSK6y5L+NEPtviPnxrPu38KFpfDoPNi5yHIC6W+OcjtIC0PxWxPWQa6GE4dcHi3g4SOtZDZYlT3sEezGCPhtikcsnn5mhUdRFvXSabHQ3Zsm8TIOtgM/ZEPfgA/qHP+zIsc3vc5Jhqa0E+ohpYsc5WExVAXOQC4A6exzrKJE00UK6LYunHLJZCXH+iCvYduRDnh8zrgVhdnbqmy4f6NJTkysvW0zDt1KikPPhXwO39Sp9nzwFcD3e2kiRjss6NL2UpZCvAuahNSquu4gM1XRWJl4i4YmtJRZmvswDkZZDUNOZDtoC1wBOy5TDHCuqPQ40KTGYvIDI0w4e98qMNz+3we+IaCajr8whKs9YiMYNCcnG9sIIodhP8CIHfALspoxUCrS0HuujDs1yxUmS0K9Vz3TpS4VrUob2YvbPkiKajy65kZ6CWQWEs1NCz2DK+ezvjB77mNO266mpVmG92LPHzf58hZzcfuS9mwpvf/tPfe8ZKc1Zn/930rV+cbJ+cZzShLKIKQhABjwMYgwNiLzTrCAvbaa6+xsb3ONuC1DcYG7PViMjJGCIREkBBCSEIRUM6TNDnd2Pd2qPC+vz/equrqOyMBJgizv/p8evqGnnv7dj916jnnPOc5tNuaC0+NuPQMm9FGgFImOXDsFM8xEVIIE73jxGax6zM9H6C0Q6oHwM79n8vRO7dZGIC6DPYT05JiN3pBS7ImTnlvukyz5k5aqAVtmSCdmMeetHnflTV2TLumzJMNESMshJDFtE5572QevU9ESZYm02WtyVOWvfVTfLdMxEtfGz4Jhh1gy4lnAW6ZA1wZL28lEcpCClU0gJJYsb6V8MZXLfDkYZvtBwTaycJpdhYqadNXmZ4oLxlKCmCLfC5taFPh8SAH83+EFJmKcBDRC2P+/DXRZrdqmppp+cU+HGtbzPchSs28Zu6X42Q7TW1hlg17YZ/nnzXDRaf1mWtrQsdi61pB6PtYIsKOUpdO5OK5EguLO+4foe5ZPLYnohHO8OLzenhujGVFtDspe46BtFSWFAiS2EKnMYEnWew6GcfMEws9FL3zq4D4dsFt6Qy8J+bcZVoy4ODZ8LBMcL2Ew23BX76/ztU3VdBO1o6XOf+2EFnkPi56Z7elny+N4oMTePjz8uV9AODhVnc5pzpeLjugJzndG+polrThBRdXIks0zeuYc3EhNGlqIYSNLRQ/dUmX+Z7gd99lcWROgF8CucgqKyU+Xq4iFCFLfvsgl5lENp9XLSQ7GcrzkzmnK+1IUGl1aegeKk0g3xpnSXYe8Tgy72IJo3j9ydP7/NILLLr95Zy8ost9T3RIopTA1ehEYy/EAhvn8FzX+tKa8eUvXBb2GW85LBuTnLLWR4g2Ow/1+NrDNo/uDbn+61Us28aRJvKhNMtaCT/3fIe6bxMngzew/KYXNd2M3jwduKXUWdu9lFwKNUxThsqDpUpJqVsZofjc7SE3fj3ItCZ5WdDJorfAERivk1LUXsq9ZV5XLj7PF3CVuHhWYxuiKSd4HZYWCsr3plWtStQlj9zHN31ERk/0EnoisvtUaISQKJmVDaVGKIVIbCxb8YJz+7z0wg4fu84iSoQJiVoW9btUWfShUBoOSqIl3inNmSfy9v7TgNx0M3Nbt8G38iOvsgWuYOvalNe+ZIYVjSgrMebrZGJu+IbNo/scbn+wxo6jTR7bWeOD1zSYHHEZqYc0muO06upLI0192LESrH9537t56QufM1f17bmxGj87UT/KGSfFnLpxjrGRaT58A/zjVS3ef90kD+wcIYmrqNiH2MNKXVw8JCGSkGpgFW/yQGlXbsGXNCjiRGVBVYC9HLVlJqSS5YpJuWtZGiK2pFlYm8qUa7/m8+f/Umf3Id9c16Q7VDmxpSCUpi3vZDcrv7cGfG+pyWfuwZ2vTymaNHIwfjXYRCFO8DlDt2LQo0SLTjRUkUsGipNuiEIt2TZcpgJ5ORedldQ0I7WUrRtj9h212L7HRun8jMzPUIkSRgZbrJNBDJ+4pRZQ+cI0dCUbYmXDXK4IGhnAHVtQCSxOXy9ZPxHgORUCNyD0fELPpxp4nL1J8OPn9jlzU4dK0OPWB10OTltMz2qOTCVMTGzC9cd+66FH9tx1xlmXGLHYRLOLAE+pfgAATXlJREFUkJqaNU+7eoSElE/cItk7VeOGr1fpLnqsbQmqriZ0UwLHNACNFlzSqls0AotufzAvOVCoMfSmFG9AqSQoC549ALcsc+8ich9fCswjtlWqnjhuwv5jkg98psLjO32olBo6wiqid+FzUqp7L7VCFkt5eP6myMGbOegFmKgpTvB+PtVx3OBx3twpURels2CZ0RJZ4uMqs1ArWvhaIHPaoqSJ3KlloruwSFOztSPua05aH/MLP7XA1x90efJY6Y9Ueay2iXJPhEzLLdSAk+egz1WBZot4RmvkILILWWzqzNSGpqyHpDRhZJo6gSeYW/R4YKdktJ5SCRICN8XzUnw3IfBiAi9m2+oOK0cjNi+fYv+Uw9fuC9h+VDC+t0O12afTLS2hWr9xI4Ff4aGHZ/j3qx32HK4xNesw37FpOoIVE5rQUYSumZvzXJFpwSWBb1ENbQJfYEtVRJJyU2cYHOUqSlmrMkg8BxUUdVwkH9CRgYjKRPaB1mSmLXj3x2vcfG8AQRncg8qJk3Hvsmm8LD3n43g3Syom5Ui15PMheca3hXRD1JcOI+tMwDGgJjpzk9IFmIUSpAJDTaTOBFiioCoyKx2mKuPiaNPMEQrRUVxyZp9ff22bv/hXyWy3dMnQBuhaCCI16NgWf2KebOb8uURLhC5VWzKgZ43MYoJJlP97USrUpKmm20uZnoMotqj4ksBT+J7Gd1MCLyX0E+YWAgI/4bkna9pdzbmbNDsPplRHV7B5yyn0+p0BwButSYSz+obb7vnKO1S0/HdXNVJOWwW7D8VMz6d4jiD0zNnlexLPNTfflQSeIPQh9M2TcDMfkpyCDCWX+celUqEQajCKJsvRu0xhBpWSoShe4t6m7h3Tl5p/vrrK+6+qspDag26lzKO3xJLgCVP3zmlJeZHrUmnBUzZ2GAb7gKcuXaH3VOG7FMWHgM1AF86S5JPsPutgSpF5ioucj0szMYMmFQKRWtlJqFFCGl6uJGmm9K64Eb96+QJHZiT/8LEG3VJFxZQFBUpag/LhUHezxM/zIQaM334e8VXO0TH3xVxn9hKYNd7ZHykEIlJAQqo0vchi0ZP4rmUGazyLwFOEvk3op/huytScxa4DDvUwZbTq0qp13nHeBVtu2PHEQSAbzvjTP38nm9a6sW9HmzasiH/i7JMWkM4i92wHW1qM1CXNqk296lCv2jSqFvWqRaMK9YqmGmoqvsL3FK6TVz/KFYdyRC9z8TItKUtf1fHteGtJ17LkKZgDXDopD+50+asPNth71CuB2ym4t5ASV4Ivtal9W7rwG7SHBGEnui1dJX78kixZ4uKWlFlb+sQcfHDCU8hDlnrFHD9UMWiQlAPGkMNtThcYbF8YLIY1Z2P+M9Dgu4rxZsptD7ocOSazQliJbOfCrOwkLouyBhssliTYYpCAD+l3iseI4hzPaZhp7mQmrokmyvwJ+5Fxje3HgjiWxIkxQfIcTRDMcsuDfW6736YX+fT6fOzmm265/acvf8kgggNcdOmP47oBjz5yAzu3P8zVt7doL9psXG4x2rCpVbLLhW8mejxX4bsKz1GFJbER1ORuoSaSLL1IiyIyDuriOf8uToATcu7S+JlMB5w7r5q4KQ/udHjT25s8uMNDu9YgcufRO/c4ERQeJ8dTlCVgkoM3DUrfY/hNW6oFHzb+efqjiOCZwIos0uVyjtyQU+YVlVySWlRXBqVDoYxUQGW17HxY2SyJMhJuIbQpHypNKhREmlM3Jrz3d2f51be1eHCHAJEMRXHTWLHoZxQk5+MF31aYK0ZW0yafuyxVTvIrUR7/8w8MuM2sJppsDNHUvF3baGlcx1Bi37MIfYtuX6K1w6bVHj/13Dk+fF2HzSdv40WXXEqn2+VP/uitwwBXcgTHD7l3e4OPXzXJRN3nlDWS8ZZDsy6phZrQTwgyLuS7Ka5jbrZtaIbWxk+8H9lE8UA/Ue5kFDxckomXVElNWObcukgiB/cDwx5ZlAVjbCdhUcM/XV3hvkd9UnsJ787AbQnDu4cGiQtwD191jjP3yW7lCMWJQF0mqt/BcXxHcwD44TJhllhm7Xuhc92QyAZ4jXd33so3gM9KiFkSbKiKZfh4ljPZieLMrRH/7WUL/N7f2ywk2YulSiCXkGTlw6WalQFFyb6eNXa0NXi+Wpz4706VcYztxcZ/MO98OpbGszSuo814pJPie2nWc7Ho9S16UYNV4z5v/Ik5Rlb6rFg+Shx1ip9fAHzDSsCWO557hrtzdn9tQxTBWNOiUdXUKjHVIDEZrZfgueY+9GNcO84Ap0iVRXsx4PB0lX5kFTN0xjRo4GZarCIVZSHX0q7lYMlQOXpLazhyO05CV8EHPlvlyhsr9Au742GA51UT4+893NRZCuKyGdFS/l3M0OaX5nIo53h8D9EGMYjYSwVpxbtdCgfHDx+fIKJndXCZDUQIQIlBFBdCZtFVl6K4lb0HFqnQxXviiphXPa/Do3tsPnB1jcVYgMNwQ0cKYm1+pixxcfO3ZzQp492pHnxczjPKZVGtDWfvxYJ9s4L5nlkRn5dePVsQelBxwbc1oaup+AkVP2W2bTE9b3H4mIMXLmeVGtlZWebv6HbT4wEunPXc8OUvfknKiY+ffNLEH8p4HxMtRa3Sp+KbGUalTAMl9CMOTCvufUSitcKyzRmrlEXgCOpeQKdvk6RGFpknnUUClkXvojQ41HLPu5RZ5M4ALcvjZ7nGxE5YiDUf/HyFv3p/naNzrpm2kKWKiTTR286jtxhw6Ly5c7yJ/fGVlCFrCAa126U2EcNXqmGgl8GbfzJQEJYmXeD4e0Qpig9Ud0IMR3EDqEEUN2VL870UWYrihqIgBtUVUs3kSMwf/NI8aMEHP1c1kdzKqir5LTPaN7/LuM/mH+dy29xrJX/9hsV3+frHAZDbMWzZsEDN64BW5n2wBYmWPPykz84pj5onccwGWlwbal5CPVDU/YRzzxxl88rw44d33/qlSy596fEABzg8Z5No/wvL6uonA2vhjIV+Bx336YuE9qzmhjttptsWfuix66DDN58ISFLbDB5bAltINi1TPP8Ml3po47nm8iKEQlq53rf8h5d4txxu7hQT8TIdFk8VAI+x/JRrvhjytvfXOTxbcqRawr3zGcvcoaq8PGqp1+CQLUQ5QJ8gmudAHiRvS+rg/xGeUgC/HL2X0BRV9iEZRHEDMsONTRSXCKUMF1cy0w+Z55oKTV7DKyK60ER9zbJGwh/88jzTbcnHvyDBH7pUQdZBjRClE7tEWYQugJ8b3OeeKvnjLWEaO64tcB2LNas1l52j2bQixZYxVrZOPVWKb2632HXIohoqjs07XH9XQHvRBFPh2Ez1fdpd7jtlk/zC1OzwdXEI4K+9/AX8+TvectteIb5x8Ig444l9IZZVJVZmH/gT+yziyExSBI4gsAWWaxI214LQ1TgpPHnAZeWEoFkzL6ZtCWwlDFsoSoZqCbCzhs6QnntJYlmqmDheyo79Nh/9fIVDx9xsxV+5HGhKgjKL2q4wC22tctQW5ebOcGNn0IAoReny50uSy/wtzh/47eaYQ/pvhiPdceAmpyommZMZ0A1dyUx4RD6cbMAthCj8RKTISodZ0omwsoFjTAQX5hnFkWbZaMJrX7zAHfc77DwgTF21aAKZCKW1ldXIRRa4Su61ubxVGypT/A1i0BG2LfBdSb1qsWpCItImc+2AwIuxrZRIaiwr5ZxNCRdti/G8iH6ccMnJPWYXfJLERlh99h1T+O6Rb1zx6Wtve/0b3vXUAAdI2IhAsLAoaXldfNdidlGx45hiRU1TyU1/snp3OZJ5DtRCiWPnpR6RufdTitzDnHu4S5lmUtjSJPwJqInjJuw8aPNH72tw0zcDM0BZ5tzFALFZqzeYkNfFfZmaHMfBl35NDkf07P0dJFiiVCIrvZbfKt/UpWAzpEnJ9SaUQT/YwCZKGnGR0QOVVU9yzisK2evgPtWmpZhCQY7T/LeKrF5OpmPpai49K+LP3jjH/3qfYNchBklIwcmdQn0ImZNsFsGlMNoTK3OVVcIMEZWHGCyZjz9KolhwbNZsEPFdl3zeQAhwLFNJ8V2T9002FUeO1Zhte9hWwppRnw0b16OHRoyeAuBv+LkXIaUdPfiNK5k6sp1KELFnqscjByosq2rqIVR8ieeKYt1gP1bEsakh+64x/xFCoLJLaBH9ys2bYpB42OY4j9Z2uYlTBreT8OQxiz/+5zpXfrlCJJyBn2ApggthfLE9kUthhwech3wRy9FbLo3enDB6lxFc/jR/875lCB8W6Q1F8kHTRwxKgarU8aMc2UUpAc3mNrPoqfSgsiLysl0eYZUskn2BVfydedIJGs+OefXzu6Ra8L/e02DPMUzSWYDcvABKWvSzEiVk6wszs/38KplKga2Hu7V5UNBoklTS7UssqelHkigR9COTTDs2BJ6i4ic0ajGjjXmuvSvi4GEb39accdoqzr3kZVGSJMCbnx7gy1eMAtW3TK+a2DbZuPeSI7MzfOaaFi0PJpuCVt3UxENf4rsmidxzOGZ6LjFUxBZYUi6pRJQHGk7crCnPUA48BIc7lY6dsOeY5Pf+scFVN1aIZC5/LVdMsiGGQkSlMyls2efkxOA+kcBpKR0ZbmQs5eBLubl4+hCeR+c8VJPv68kGkU+UgBbmnGTefhQfF9uGM+ksZLXpDOyiVFUxT08PgK/ynrtVAD9OwCHmNS/sYFvw1n9oGpDbZKXDwd+hsOjl5cTsbyg3pKQCK7sVW0Dyrc7arACME2PfJqVmtg17D5tk03ONCKsWWnT7Fp6T8PKLp/mLj0Wo3jgvW7/6qytWrHjLwSOL3zqCC1Hjqzd9uQ0Tj+/fU7noQ19MrbnpKptWSCZHHEbqpnRYrypG6zG1yiK3XeWSdCSjddOpG/ikDGwf7ExENdh8lhbr/OzyoMKQj0k+LJxg2TGHZiV/8N46V325QmQ5mdVaeTqnPDx8PO8uJAJLKidD96VoXRjjlCopgwRUFCAuqkNldd3Qa3p88D7BjMMJ7dryE6A87TMQXA3APZDR5tUUidDKaMSzs3Aocpe4efkZCTHMx5NUY5Pwyud3SVLB7/5Dk0OzebLJgJOjUdj0CuXZoEYuyeihFNk2NW1GHAuLCF3sZxUCmtUEy57nk18NaPiSkZqgFprueadnESdVNq3W/N7PTPGle8bSk1ZVHv/aLTe0L7r4hd8a4GDO9v1H2m/6+I0T5/ba1plnrLdYOeEw3oKxRsxIPaJV7yKtNtsP9dg/tZymNC+WLY2lhGMbXxQnuxW74bPs2HHMymzHSoYieFkdaD43AirlaP7vNRWuvL5KlA8tlPi2+ThLKjOtiVMuBRb3J+pcDmtOBi3yJcnkCaL2kJpQmJ0Gw5H8qUN4OZnMo/XSk+C4Ckqp2SNK1GUAdFF8LLKynsjLiUoiUMVzzE/GchvfRPJ8k8JAX2IT8+oXdnh8t807PlAnyZ9oMe1j/gAlLboYZ1fFwBioXH61s6WtSbEeUJEkA+9B101ZVe/QGu2yfX+D/bMOY5WEVjVlZt5irm2x0Kmzdb3Fb76SBxbS2TclunXC19g60Rc/9KEP8fwXvUJvXt16/fLa4eWnbtScvL7HhpULjDXnGW3N0U/n+OdrBR+6fhT6HuN1qIcWYWATBpJKoAl9TeApAs90oHw3wXNTPDfBdRJc29AO28mNeYa9u3MvE+Forr8z4F1X1DjUNrvZB/sr85vh3Z4EPysJOkIPQF5ouwdb2pYuci1/XtaeDJLN4dXioqxHyYRPg3XeAxtpISh9LIZOohOeWGVqJPMcQBR8v+whclxnVSwBbQlggxNUlB6rS1eYwe/I/68Qg1PREYrJsZTtByQ791rHJx+lTpVCkJB3sgd5TH5VLOt7LMv4Wbq2xHPBdzXjTcVlZ88zMbbIXU9IjrYl8z04MqOYmlPMtKHd8dm46eyDriP+6dxnv+yEAD9hBAf4L698DirpfmL/4/du2bnvWCURPaa7Pe5+xGLfUcme6TrffKhOw3NYNaaoBpnS0JP4rsZzNL6rira+55oOqO9GeG5sgG3HBsx5Y0cMWvJSGEcq6Wiu/VrAW/6hySO7vazWXepWlpLKInLntmtywLmtMoCHwPQU+y6P497HlwZlAYYS+Movojjug+NCeMHBC3gUhLxo5kjr+IaPKporGY8VOQ+n4OEiMwoSRaJpfKxyamE+lkue3pJMt/xxqjl1fczf/cYcvyPh818LMwRlelmhQKcgLbQ2+zpTyyLWglQP8uo8mudbHZxY0Y8Uvcgkmu2OzdGZkNWTissvmGNl8xj7Zyz2HHX5xkMeWjoc7di0965c/OnWBZ+oVf2ngvFTA7w1sko//uDH3t0Vm9/0qZumKu1uk06UsGO/zfScQ+hLVjY0o1VFqyqohhZBYBH6gsAzkdt3lYncXkzgxgRelLn0G4d+24ozPYnKNCnmXuTjaa7ms7cE/P57GkvAXVIJCrMMy1kigbUFw9REGGpSVupZSxLLMriXOnUtNfk5Ti5bhKkltORpkswhSrJELmuAb8Cu9GDKvZxglisoOQ8vyowZ0NF6APYlbZnci6p8YorjsoPBRV4ISPqwbW3CO35tDing2ltC8wutHOTSdHWK9SkOPWGTKJs4o08AA4k0hcWe6wgWuzauI7Etz+Cw7nD2xi6XhH2OzWsu3aZZ7ElmFhKs5uap2+65/91v+C8vP0718C0BDtAXz0Z6s1x4ygPs2NPn3serrG4oVtU1UqT4LtQCmXkX2lQDSdXXVAJFxU8J/ZjQj6n4MYHfJ/D6+F6P0O/huRHSShBSFWUpnQUAITVY8NlbDbgf2uWZTpIsKQRzjUmmEPQFeFLjyExrIod5d86zT7RbfpBE8hSAH768l6Wg+Rs/tBNz6ecnQHomfx6UBsUgmhfuxUuSzaXAHoB9UB4kn6qRWZRXIts2jeHjmTWxKNRQclhrUgLz4ETOdCv5NSTSnLo+4a/ePI8GPndrSCEfVDIrtEOuAdbSIXY85j2PRFtGA55JEPP53Hy9jFmgYLYng0ecShY6LmCaV55l8dD+mJmOxxt+7GRazTpveBoMPy3Aly9b3Z+dmvtvG9as+OTe/TsqayZM92p+MSVOIfQEtVBSr5jSYb0iqIUp1TDJbjHVsE/FN6CuhB1cr8ujuzWfutlnz9EQxzZvVLOa8oaXddiwKkG6gi/c7PPWf6jz8C53GNzlyZxMYzIANycEd75+pDC9LCWWS1ernDh6P4UHIUu48RK9Shks5S9oveTzJZG7kM4KhhJLjks2hxNOoZfQl8w/xUj2gGL8TIHKQEambHoKoBdnmsgxnE0FRZrT1se849fn0Rq++NUA4Wk2rE54/cu6tCopWhvbvz1HbK68ucoju2osxhVS5ZIoUfx+UXS28/fAKa4uWkOSWMSJYHbBNhZtUUqtuXZ+rmO9YcP6Vf2nw/DTArzbOayaI+vuXrnhxfPhvf9aWTkuGGtpdh6I2bnPJvQktYpDvWJRrwrqFUWtklIPY2phRDXsU610qQUdfH+RJ48kXHFjyL/fWGf/UZ9+YptLoo6xifjizQGXv7BDvar58GcDHt7pmmK2LJtkZoMLmRuVL08QucWSyC2XbkfTx0dvsaQMeMKbWHK/hJ6UI/VSqvIUR9HgWXIClGnKcKv+xBoVlZv0DJUMs+eR/V+V+4DnwAJUsYc6i+ali/1SsZiAQmKbpgpizSnrYt72a222rU2p1xSvfEGXjRPG+DNVBl5xEvHqS6f45FcW+NiNdZ481ORYWiHR+cxAJgQvnWECh9yzphKk7Dkas2MvjDYksbaTmtN7jedXrr/i01ed6LQsDuvpvvknf/q/aTWDzuFD+27Xmtd123ssN+hy9+MpUruMtxxaNZtmTdCspjSqCY1qTL0SUa/2qFc7NKsLJCzyzk+6/MVHx/nCbRMc7TUQdoDteCjbJRE2SaqYmU0h8zz8yt0eiSzTksFUjtkdb8CdT+bk4LbLVZKSzmRQISntARKDqF5UQsqf55WU4nEnmOA5rroihk4EKcUJT47c0uypOqYn+l5Rcz8u6V26ZXlYQlF8MPS14X+LZLkEaM0SmlWa1i+m+tE0G5o9hy3O2hJz9pYYkbh0+xU6/Qq9XkiS+tRDmwtPS7js7EUmmh3ue1TS7jnE2Mii7D44u8ymbNMVb9ZSWo0ZduyP6PYszjvnrHT9+o1/NTV14NirXvHqpw0gTxvBG3WL3bv3Mjaxef/pVrRzevqek664PkXHFbatsRmp24zUoVVLqFcTapWYWtinVunRrC5SCdvcfH/KlTc3uPKmMSIqhIFkxNH42WhYPxUc6br0E4vLzuvx7t+epdrQJErwr5+tmwfl4qlcHVgCtyP0MLiX0JITmddLsaShk4P724je5fGrYRCK4a8tecxxkbvEwfXSey0KJ9aChpDVvcXSbqYotCm5E60QYjDNnlOeoaHg/HMTyXX2DV1258mOpBioNMA2nisSKSUSiRApH7k24M/fV6fa0Pz9b81yyWmSxW6F+cUKSSILVzTfjVg30eO/v7LDyrFDXHlzhxvvG6MXB8Qqb/yYTWlpmr9GDq7jcuqGCi+/eIov3VNn5aqtOy8466Te9Fybb3XY3+oBUlp89fYbnmw16786n5x280T1Xjas8KiGNqMNzWgjpVGJqIYxlbBPs9qlVV/g8EyXz94h+et/n2T3gRaVqsOkC3VXETgazzYTG2BGk1Zt6fG3b+6wYVLguCnPPaPPBz+vUcghcEtpat2e1KZTaeXjZ7kUdgDkpeAeAmyZsjxFJJWliFnm3MPJZrmCMuxR+G0fZS1Kfr8E5JTBz4lktKUhZSUyu2WKCp6WA9qTqgLbpQ+y+olQGTcmSy2zE0TkmhXDl5VKEQjSVHDrfR4HZj3Eos1v/mPI375xnjWjFY7ONACNYylcJ8X3XLp9l9D3+NnnL3LhKTP8zScjbrhvlH1TDXqJJEqNXVuUKKLEdD3TxGauXWPFmODHLhh5UOpHf/YrN9/85Nlnvfa7B/iaNSuYmevSqPsHW9U7b/HTXc9Nox6NKqya6DLS6BF4MZYVUw97WPYi9+6IeM/VVT5z2xiWXWGiKWm6ioqnsxWEFLYToWexdb3iZRc7LGs16HR61MUCad4qE3kENwPDnoRA6CKpdEpUZKhLmVOTErjzz4tILAfR91tWT5Z8f9AoEQNgZyeAwbsoHvOUuM4BnZ8kWYQWQxx8WDarlHk5hkfZSp1NSh8XpvlZiVHlQcuAXJdAbn6WedF04WKiBydqkqVBSiOFmd5S2mxrE7YE2wW/yt4jDn93RZ2XX+jgOxXCIDXNPjcl8G16nkM/MrfJVod/+LUFrrljP+/9TJf7d4+yOOfRisBpG+XqWDulF0FlMaWbNJnpuX+aqn0PvuV3/hB4y3cPcIBWI+Cm2+7cHgThu63a1uce2303m9f0qVRn8fxFhEiZaGk0fT5yvcV7PzvBvukmtcBjJNDU3ZTQ1YTZ0tjAE4SepBJYNGo261ZA6DSYmtU06xD6/ZLkTBaTOY4wtMSzMt6d0ZLBZMiSFvwJhhlE+fvkHcYBaHPqUv76QA8+TENM53LJVYBStWWo5nwCcGePL/uDqDJ1yaOyKJUIRUlZSEkbPkRtsnqzMmXDPJznwM5f1rweqTGiuay0gtYSrQVWfkbkb0VKEcGlstAqM9NHgnSxbI+xCsQdn288bLNmGTTrNrVAm+52LOnHNlFsZfcOtYrLj529wOmbjvF/Ptvlg1+Y4MB8wPLRHlKnzMUO1pzHaa2UF1y8kU2bz6Tf7/GW3/l2kPttAhxg2cRqPL9299mndD/TXb7v5V+79yEe2OUwWm1y5uYFXnXpLB++zuIdV0wy02kyVpOMBMq4YXka3xEDcPuS0DelxVbNLPZMFWaTbWoV7d1y9LakILC0SSqtTCUoB5WS8qq/E1mgDc1eyhNEZsqPWeJ3Uvr/eSInS1SlSO5KNfIyhTlR5M56OAOXEbGk2cOgEqIZphhmekeXKiyD8iDaqPiGqi6ZGRBqEL2lpuibm0EJU2eWQiO1xipTn4KnDACupIVSFlLnJ6/MtPdGVNeLEqbnBUrbJImRv8aJpB9bRHF+b9OPbKoVhxWtBd7yMwsIDvKhLyzjstP6nLXBoVFf4JuPL5DaZzAxedpnVq3ddnfS+9bc+zsG+NZNK0i7e59ct/K83/jox2+37n187Cc7i5LlVZfVYw47Dy7wvs+P0+6PsHZU0/RSKl6+DbnshCUJfbPQql4R1CspFd9M50tp2r2WpbAdiZDGT1BKi1BqQmmSUyeL2mWNyaB5c3x3chCVh4cZjp/UyQFc5t2lCsOJ+Ho5QS1ZTOS/p1QkHwJ3US/Qg20f+deKbl+m6aBMOZbqw2EoGdVa56srEcLQFTBr/MogN9U583ghQMt8rYjOtitooy/XamjoQmQgt6QiUTZCSdLY6F4VkGozGd/paxYWk2we0zbruFNTz44Tsy0tyhZJ9WKbXt9hctTmF188z433Ruw72OK0FS6NsZjnn63oEF5THTvvNx54ZN+e009e/W0D3Pq2Hwn82V++k0uf/5K5kdENp3m6/dzNy2a5+KweteoMf3FFyKN7RlnThPGqohlCLRBUfEElA3XoW1R8m2poU6sIaqGiXlHUKwnVICIM+tTCLr24x799JeSOR5rgBHi2Rc02LmyunUVwSw/2ccryapXB9rITyWKHwL2UzshSqVAMPrckRkQlM+PNwrxnUB7MB2mHors4vvEzNDCR4b+QnyylOktOqBMKq5bQp3ICXPy+7BeVT9SBetH8sELRqDM1eO5FTrajsywHFhTDK66dsu+I5s5HfHpJQOBIAmswYJI/j8JLIdsIYvZgWpmRj0Wa2kSJw1hds27FAl/6RsiufQ5Hp2F8bBPPe+7FV8XdvVdt23bydwLZbz+C58e2TSvww1XvmAgf2zB3bNdrZtoH+ZurKtz5cIN1DcF4TVMLBIEnzbLYbCTJdQSeaxF4kkoAlUBRDYy5YujH+H6M70X4Xp9vbpdcf1cN8HEti6qlCSyNZ2vcHNgFgJ9iy1s5eC6hKMdF6af4vyCOB9Nxjx/m6seB+wSv4VCbvgT0IS0JDJUF88RRFWXB0lCEWBLFc4oiBpUVRDbho7QRzGZPbBDtzdVCiCyRzFfMKI2yBr7kg2kchRQugZfwovN6fOqri3zt8RoLccBiLPD64NiZY0L+ImibVJkNIJFj4UQ62+Jns9iz6UUWSSo4/6Q5/serp/mna2L2LqxkJlnziVXrznrHk08e+E7h+h0Vs4pjZt9VNFeOh7//l9dcd++D7YvS2GJ6HiYbMFKzqFbMDs38D5PSrCP0XONjWAkUtVBRCxMapabQaKPNkbkF/tvf1vjqA5PIoELDEdQdTeAYcLt51F5i1JODk9J9/nEZ5JQ49lJPFCFLTZ0sMlt5pH6a6G0VEVxkGgoxOJFKr/TSVPO4Wjoc12gabkgNLwLLd48ObC7yqFleDZPTNl1Ib2WpYVO8VrnVcvGa5c5jg8Fw21Y4ltH0u44JSIHXo1Zd4PaHU37lb1awe2qMZRWLiUDRCBX1wMzpVgJzFQ98C9+1zJRh8fprfBfqFcVYK2Ki1eHorESLmHZav3VX+5deFFj7O7/9qy/+jrH6HUdwgNaqy7nmS7d1LjzvZQ+tqV9z/o4D0843H/VYPuYw3rSpVSS+a1rD7Y4RtruOIPAh9I2PYcVPqQYxYYmaWNYiX/6mzVcfGkH4AVVHUncVoZNVTrLaeZl3lysXSyVlJ2q8DLnDlsD1tPQgjwRDkbrcuRz+ePgKMgxqnQ+pkkXyrP6cbz0YMo/Phg2UZFgtSB6l8ypL6T4fFiu198vRmzxS54xaZxXw7MXS2T/lJNkAXJomjKWyaJ6/thrZUVywrc2PnT3Lh673menV8bK17rmxk1GJiqyMKnC1JE40i50UrRWeK6lVJL3Iw3USvv54RKxW8+Zfeml0mYw6y1d/5+D+DwMcwLZs7HTHm9dsOOk513/j/lM3rZBsWGEzOaqzxk/E9v2So3M+ljQ7DX3HyGgrGTWpBEaM1ah28b0FPvEVyZ99eBxh1ag6Fi1HUXXMBL/rZLxbZub0JbBlcBm8occhvfSGlYBdjrBDn5fpSfnEoBz5SxxeygHQS9/Lf9TQ5E72/HRxP5imMfM2HNd1FIWScADcMjUZlGIGJ4HIqQ0mWURk0zXZk9CIbDV99p/VQGs+mA8dJO3maiFILVmsEdelF9C2FH/484v0k6Nc8RWbY90KtpQlr5vcOz6nrJrASzk2t8j2/TY1X1APJXNtmyT1OWMTqNqpXTvYepdY0l39gQD8xZedx95DXd3vd695xdGFTZ5+yB9tQuD1mBzp8eCelM/fVSOQgg0rPGxp4bma0E8Jg5RqJsaqhV0sucC/3Qh/9IFxjnVa1EKbEVdTdZUx288BnoNbiqGyXWGGQ2mgtURwhydYlpT9YAiMx1dKBtWTwsmqiGwCkYE7r6LktfFS4eQEXicl5WDpd2ppJtKHordgSER1/IhaqZIiSvfF7883KWft/rwSQumX6/JGN4otysUjioFxgW2becpUyYKX52drs6b4y19uIy3Jv391OVPdoNiGkXu+27bA9zSOJdi0OuGULTO871qPe3ZVWNFU7J2yeGyf5qWXbuv94isufVcQiD8UovofBvh3VEVZerzzb/5S/8prn3vLykltrVt+5MJub7/15Xtidh1Z4OM3Vnhyf53lTYuR+kBtWK8mRowV9qlVOoyPtvnGExG/855xDs6PUq+4jLqauqcyDxazScJzBJ5jnJAc27gi2bbMWvPl6ZoSrIXgOOXfCZLKnH8v1Z6UNSrSGl5Hku+ml0vurSUcuqBA5QSy0HLny07zqCyKykY5pxjkDqXSZFmG8BRJ8/HHcUlBdtZl7rRKZEmgHNp7mipJmoNalcCtBsknGN/xZlVzztYF7nwIntgToG07G/w2VwFbYoyjAkmrBievjdiyZgrHa7NtXcLD+zSWPxGtW736HXv2Hv3zM087PeG7OP7DETw/WvVj0fKJ5tvvvHdNdN2dyZ/NzSfy60+0eeCJOmestmjVTIJRDTS10JQDa2GfathltNnm0GyX914zysGFURpVl1FP0/AUoWsSDwPqDNDWAEA5CLUytdck1SQJ6FQXAwNFDH8KcBdcGIaW9OZHzl/LDZ3yfGZ5l/rS8mQZYLmNtEpzGqCMIZLS5OurhcgWpZYlf9kPSbOfZxqT5ebOUw6yDB3DDr9Gbah1fiINTPZVttA3TkQG7Pz/lmXHAsfWxInx6U5SMyysSmXFRgXe+BNz7Nlvs2d2FClcpDBUxbY0npvS6VpMzdnsO9Lg7E1t4iRi554qP3NpqGJ72Z+l9tjf7Ts2G323+PyuAb76pF/gM9dc19Xi/M9ccM7En3ZmvsDOG1yW1RxWjEhGGw6tOjSyyN2o9mnWOoyNzHFkvssff7DF5+6cJPRdxv0scnumre+5Jmo7QwAflOLyS3KaaqLYgCafJim4+LegJQMw54qmAciHHpJx5OKqII8Ht22dGOBp9rEBTG6ToLItvrkbFEPGPkhR8iwpuRhn3XeWPLellaTylNDQX6M1WmYjcPn/1fmueEhTkXUazRJWrXJ6pwvDUtvSODYZwE1NWykTwVV2QrzgnAUW+9P8+Qdhz/QYaCd7D4zRk2PH+J5LJfCYHG2RpPPceI/iv15+gb7gzNWfmW13u2ef+zPfLTy/e4ADPOu01QSV1U8kHfGmq2+6+H079t8nty2zWDXpsGIcJloRo40+I/UOI41FHHuee7dH/OPVLT592zKqjsdEoKn7Gbg9YWiJK3AdiWMLHEtg2bLEv0X2BmqSxJS4ojjNzPd1YX2WLz16+ks3RYAbStyGMTT4GWXOneUFRfJbcs0SJWDHQpAo0Cq3SdCkOickmdWZ1EgtCwWf+Z3ZzlFdtk9eUkPPn+PT/I35/xFZAd4S+e/VRTKb2+x1I0GnmwG8kASZ/fDSEpkdCLiOzlrwgjgdRHOtDdN/+XPm8Zwp3n11yiN7x9jX9okVKK2y5xMBLtWwxpY1XX7rF89Rytn6pvrYlifmooPfC2h+bwC+et3JPPzIo9G2rc95/66Du8Jztix758r6DKdujGnVTLVkvLVI6M+R6g7Xfk3w1x8d50B7hKrnMRFqmoGi6uvSLiCB70gDcEdms3pZV7HoGmZURJvoMtNWdPqKVA+GHMoJZLkWPmR2WeqbF3twck+PJc2Ycokw59w5uE0DSiMLoJsTTynzeZwIUqXpR4o4UYOTMAOOpQVWQbAyFyphtCcq490Fbyo9scHJt6S+XSShonQ100U1pjhBpRkXcyxFP5IsdmB2QRWDy2VRWW7z4FjgOIIo1hmlSUkV2Qp3UVyJXnLhPBeefpS/+mifa+4c4WCnQje2iRLNfDdhakGTpoLJ8Y2cstn77RUnnf3+w/t3pmedvuWHB+AAJ2/byp59h9Lf/KWf3LHzifvaMweurqXJASwrZLTZZ+fheb7wdYsrb55koSNZ6NdohC4ToaIVKGo+VAKjMgw8OVh2VQB8oO8uXuwskniOZvVEzIHZPgcPOISOKUm6di6VFQV/LE4KMYhYZeFivn66HMUHJcYlEzyiFMEtiku3XewcMomVEAbkSksOHUuZW0gK8OQnrVTmZ2itwTJMPBWmcpFm+pFyxYQc1HljRwyaPzn9MNJZM2ScqxfzFd1WdgZYUuM6qTG39GIOz1k8tLuCjQGwYwksSw4qRBnIbUvgZIl/lJC12zO6Ug4aWjNeh7f9Spu3/uwiV95c5fN3N9m3v8FKXzDV77HraAO3+cL2sg1n7liYO5IuX7XxewXL7x3AAerVgEZt/prJsTPffO89s+/690/fOrJ5xTz7phd456dGmV+o0QwUseoRKZsRX9P0NfUAqr6gEhgxVuDZJZAbtwjb1oOWL2RTIprAVdQqCVvWzPLo0S7X3T/B8tB0UW2ZzaoUkcecJGSif4XI9klmgMkVdmJQex4qNopSRBNiaGFV7ubl2OZ5Ddy8NK6tqIYJnh9zywM2U9OSqm+8+s0JYfxDB8OZmbFPapxepcjXeB9PTfLy5aCzacCeW0ekmOpIkv2NlszvzeXDAFxRDfqMNObZcUTytUd8Tl5uAo7vChxbIeXgaiYkppZtS/ruQCmYpCY5zRNOAViWwvciFnowM9fiZefbXHrGHH97pUD2q1x6Tp31Wy+ZXrfprN+8/7G5a05a3/heQvJ7C/Bm0zy5A4cWPrJy7Y/bP/7C4B233PG58U9+pUogKjznDIdnn7HI3TsX+L+f92n4kkaoqYeSaiAJAytr58qMquhsP6LCzgqaSYrxsAM8V1ENElq1PrVKH9IucT9h0fWopCUeXgDQ0ArQxKnh6qkyG73IHldUGfI3NBOOlMuHIpuDHkRvjV0Ct2ubbXOum+I7KYGXsGy0g7LmOdBucni6zsqmMsu8lDmByzoS0JlHjDRakGxYoaifl8Gd15gz/0ezDMw8KE4lUULBk8E8VwPwfL2MxrYUvpcQ+F0sx2W2K5leUGjMjk0vG4Mz/oEAGltK3EwhGsUWcWyRJKa0aEqK5vdZtmK81eaKm6rc9/AYF53icdZJFX7zFce49ZE6p55+2dHnXvy83yWNP7Jq+arvKbi/5wDPjxXLquzYe/QD6zY/S374i3ve5up7xs/YYHPONpgY7XHw6zYtX9AKNI1QUKtaVAPLANyTZu9moIqWfuAn+F6K52imZj1m2g5CmMjjeymBH+M5EZY0xiqJovACMeA2oi/PEdiOxBKCfqxY6CoWe5o0NY91MoogROZtLcs8PAd6dpnOa7slemIoitlq4Tlptrg0oRJE1CsdgoUOSVJhtiuo+QNvk6KMV3B8TSJBKI2lFGkqCkDm1Gng3Go4vy218X50FI6VIqUmSSySWDLdk/Ri83NdhwLgSpW6lZkHO0rRTzSLkSCIzN9jZ1La2UXNVNuUbUNX4btGehHGJqcwctisjq7M62ZZivmFkGUjPb44G3P3Iy5C1Dh7a8p//9n1R4Nl57wVZj8g7GXfDyh+fwAOsHH1OH/8zo+9f9W4ly6/cPXfTtYOj4yNzPOxG2PufqjG+jHBaB1adZt6xfgZ5lE79DXVwPir1Cp9WrUegb/A4/stpubHWex6VAKV0RSF6yY4dmQMg7LELI9utjSWzm62uNb3LHxPYluK+V6H7buh6kkqrsZ3DMjyy305WcrdY3OKkucDuSzUycDt2ArXUXhuZtruJfhehOdFWDJGqIROrFmIhElIi6RQGAmqgKRIYjVpsQoki+RQ3MgEVJYwXuuOrfCdBM9LCD2zS+n2B+vsPVzFsix81+iBQGBZGjcVw0mhFqBSVKroJRZxaoYoLEsS+hJhJ3Rkhyf2elRdm7FQUY8VcQJxqkkSRRRb2cSOIE0NvBy7ybO3HiOKp/jMVwT3Pu6zcsWmaSWrb+lPffqD/tjrv18w/P4BHOBP/8dr+ezVV37YsdZGDsk/feiag7WvP9Zg/ajPsgY061YGcEngDXZvhr6iGsY0Kn1Gm4uMtma44is2n/rKGOtGJBuWa1xHZG+UcURy3BjXtRDZaJstc25rup+eY9aO10KLekWzbCxly/o2h3sJ33h8lGUV0x+3MrN8ZQ9sxooWfimxlKWyoG3pLJIPO+i6dmpMRh3jby4y775IKbqpRZCITH6QJaWJyEbsBKnUpFklxpZ6iKJQel75QLVtaRwnxfMSw6frbb65M+LTt4YQR0y2LGoV2/igCHBsSeLqQaNGZQMJMagkpa8sQ0e0STRbdYdzVmlWrVjk32+Z499uHKET+6xIVUb1FGmi6ceabl/R6RvqkqQ2SRoSRct49rYphDrCo3vPaS+m6379S7c6//aKV77y+wnB7y/AAc46aUGtWut+4vqvTCSOd9qHLtp22N+yOuHItMR1PVZOwEg9wrZM4mdJTSVIqFf6jDUXGWlN8W8327zn05N4qc/yiiBOMlPKrArgOQlzC4qdhwJSYZlJe2tATfIlooEvqYSaRjVlpB6xaU2fan2W//lPHkePNQq9uasYVB5KYMqbPLKgPlmlxNYZuEtR3DaT5AbsBuDI3PFd0U1t+qnATQ2wyzYXSUY7jGG86Xjmi1KVHmhEBg0Yw8EdW+E5Cc1aj4MzXf7hk3Ue3OGxZbnh+7nMwLEkngNRnHUtEzN0oJTDmmU9/GqfTuwZ9ylNpkER+K7DRK3Gr//kMVBH+PhN46AD04kS5iTsRSmpNjnTYtVC4NLpwzcft1g7McJF54/0gsbEr9z2aOVTK0YW1X8MVT9EAF+99Rd427s+mT66b92nnn9uJR2rio8+sfMhv5+MsnG1Zuu6Nild+n2Xfr+CJTW+awBeq8xxxVckf3vlMtw0YPWEol6ROI7IVqAYv43Qj9l1UHPXvRUcKfEKoBm+6DoS15UEriD0FZVA4ToJttQsb6XUvS5PRnX6iSBxBGnZSaoEprJGPG/olLm3aYCoooJSNveXJQ9GlCJWOrNIENhpppJMNXHeGU0hlaAsA25LayOAUqUyYamObnQehn8HXkQvijk84xKnFv1Y0emZcqDjmOaZ54qi+hEnlrmlNs85PWb9ii479tWLRDxRppk2uyDZf6TChlUJv/3KYwh5jE/evJywa+PZKY5ldmN2E0U3STk0q1FacvKGlLneAgcWtvSOzK34uf/62uZnnvvgYrrxtO++U/mtjv+4DvE7ON76m6/mf75mNv35n7vkqt0zK153oH16Z/WEZLQ5wz07Z/iLj0ne/zmfI9M2SgscR9Gqd7l3Z8I/Xz1KvBiysqFoVMwkvu8KPCePkAmuE5Og6aUegSWMdtwiE2aZZpHnGBVbkFk6e45JxNJEoNKURCnirDSY3zLBdql6IkoluVKJMKMR+UrzMrjzm8j3hmRGgZGCSAnifDd7KgpD+DTVg+0HeWe2VLMv+DIl8VURyRVW5q8urMGMZD+GfqTo9xX9WNGPIYokUSyJEkkU28SxiydtPBGRJKnxKUkEUazo9RWLHcHMgs2hqZCqX+PNL+ty7uZZphdMpUYIGG9a/OJLEt768zOcunWGYwuL7N4veMXzNnZeemnrdS999auuevc/dX4g4P6BARzgtHN/mre8/Wv6jb/45Cd/7NmrfuW55zfmbn6gy0e/0GR5pcH6cY8oc/n3bEUUR3zx6z4Hp6ssa2iaVahVsmqLb0qHuZm+bfX51M0hx7o+oWtMhdxiB+MgYnmOLk4M2zbb2/I4rRgG0NIO5tLZzVw4lN9ympJbAdvZUi0pB7bQZc1rqjWRglgJ4lQQFxsPzPaDNDW3JM2oyYlAXsxIljqYUpdkAppEQ5xClOjiFkeKKNL0E0E/zkAeW/Qih4rn8IqLO/RVTCeGfqzpR5puP2Whq5lfsJhtuxyerjLZ9HnhuQtYXkQ/MVc215Y8eaDOsWPL+fnLJBc/a44FMTF3ZH7tr1z6/OonDz98hf6NN77mBwW77z9FKR//+62v4Wcu+TCnbpm9QqsVznlnr/27dZM7RlUyzWLXxbFNVm9JTbuXsvtQlVDaTNQ0zapFvWpTq0A1UIR+YtbKeRHdKOL+3TWUsqk4xnzfdUR2ObbMPKijcV2N65oqh5NFWCnVsG5bDyeVpntZvi0pD9oK2zbUxM54sGMPgJ6vOZeiRDe1QmtFX9lEClylsVNT8bGkoQOWhNjKqEoRzXOQi6IJVe5smqc9mKoQKiVKDZCjBKIY4lgRxcoIqiJBFAv6sUU/tuj1bUTN5dS1i1S9LguRRzcWdPuw2M2ufK6N7zoEns94q8r6yTkqQUSiXKTQxImi3Um44+GE/TPreNbZG6Y6gf9bRzRX/M27UyY3/dIPEnI/WIADPOvZrwNgod3+8OU/5dizh7749g994pZxy4rQSI7OSjau1Ny/y+ah3SHLW9CqCZo1m2ZN0qhqapWEMEjwvZhGrceX77XYvq9K1ZH4TornkIE6G3Z2hCnd2dpM5WfJn7QTLCc1reisujA85iZK84tl1WAWuYsoro4D9mANYnYSiVKBT5t6s6EpJoobgGvTBpcaKwUrgdQyUdzJGlepHiTAxQBEaYQsn15PU4lKcq5v+HaUVTkMRRmA3Nws+pFNL/LYuHKRS09b4Et3N1gMJZV+ittVZqeSLXBtC99zOTRV4ZQ1C5y2oc/2HRXGmxKlNf0oZt2qkIm1zz560XMu+b3zzks+PDJS/0FDDfgBUpSlR7VWw5bJv46vfOFbTzvnJUfHxgNSdZQ9hzRRqth+wCbtm3LiSMNhtGkz1tSM1GPqFWOqH/oxKRH37HSZW/SpOmZJrecIfEcUWhbPBc/VRW3atU3pToqEw7OCmY5tqiGUhEsMuLcsaVmK9nwWvcv177w8aGe3fO+nlGlm9M8QyFOt6SmIUkMj8luUQpz58iVJvoEsk9iqUp6QV1UKjYoZQkgSi1oAY60IRUq3FMGjWGcR3FCPXiTo9SW9KPMo6bs0QoczN/TAipiPBIuRoN3VzLZTpuZipmZTjs5aHJ4KcGSFzStiHCdl5YRFpLsIJ+D5z7vs6GtedulbsfjXZwrc8AxE8PLhBVUe27f4/s1bz03G6vqdd955fWv98i5z3Q53PhyyrC6ZHLGZHLFZPqqYHO2zYrSL7yUkqSbwYg4dU9z1QBWV2lR9je8Y30PPM5UTzxMG3I4R2rtOmomLErSOuechh+37fcKKKdUNDUWUJuplaTWibS9t7GRb4/LNcUWCmRgennPwQpNt6uFaK3rKwk2XWs0ZqmKlGXXJEtDByj1D5fKJIF2ydFBa0Iss1q+Es07pcssjEd3YoZdmIE8MH+9HKX1H0o8sepE0IO/bLPYcmnWX805bZOKrfdpzAYuRZK5jNlmvyiTJQgp812W0WeeCrce4/f5Fdh92OX3rGOc869KZM886+3dsu/shIUaeSYg9swAHOGlVhSSJPjJfO2f6occObTxz48Jff/xzR50Dh0JOWWnWF66a0KxbscjysVm+sSOm3XXZtsJjpC5JUs1i1yWQkoqrCFxB4Ep818ruzdYu31N4jsJzUlw3wXMipuZS7n40QKXO0MIqyVLrBpHx43JZUBXgdrOmjuckuK6p6jh2knH8vIKScwhdAByVkAjBQokemSuHHhZxJZrELkVypYvBXzVU+TFfixOJLS3O39pnotnjUDukGwv6TkZRInAdRS9KcSOB15d0+hZB36bbc0gSl5rfwZUpQsNILWH96g5zPc0Dj1dZ6CmUjrCkQy0M2bS6wgvO6lFpnR6ff6r9lnPPO3cHhJ8Twv8ukPG9OZ5xgAPYtqvihQeu+eXXvcDdvePxzpmnOu+dnn5YTDSQm1YlbFnbxranueG+hH/93Bjrxn1qz5WsmoiY71pEOIQeVFxt5LZ+7sEhjC+ia4BtNr3FxtPD7fPwHs1ND1YQnl2sPZGlKF4kljJfcJuLtozexHWyk8ZN8d04W7AVZwu2kmyDXImDD43bKFBm3DDCYT6RA7tjBkuzLGkkwU5BV5SZkcyaUUWrPetGKi1RyqLbc7jolB5rxhfZO11nMXGoJgI/hn4MbqRxrZSubQZKPNeYNXV6Dp2eB9qhFioW24pVI5IXn+OwZsUs7/9ilzsebrKwxyNOYgLPwnFH1YXnnard6tZfE5WTPnjnfUeiSy7Y+kzDymDrmX4C+eFUT+PQvoej0dbqj5x6UnqTb6tXjwYH/sIVj3HXEzEfv8nnyUNVVlZcltddtDKc8trbA57Y57Ohqan4ItvRaRVzoIGvso1vKb6T4LsxgddH0ef2RxxmOgGuZ+FmAqp8CKAwpSlz7xzcZc2JZ5LdwI/w3T6eG2HbMZYcbIwT4gQNO62AJNPkpsTCZi61iZU0lvTCOELZliZKBlE8KW0FTpdE73yuUilT166HFheessg9T3RoRw2qtsC3NV6U6dalzmrmJnH0HGOtN9v22bRC8tILunz0cwqBxZGpBusmJb/3msPsOnKAf7uxyTcfrlAbWcNqueyPaq1Nn2y0Vu2No2PRmWf/cIAbfogADrBs1ckA3Xvuuupxr/7st69f9Q13bj76g9uvPWZNzVskicVkw1RVwiDB9/tEysKVNvVAU/EltdCmVrGpVzS1UGX+1GYBresmeG5EJeiyZyrl6ltGQQXZ0IHxYcgHfgaT61n0zumJrXGyqB145oQJvT6VoEvod7HsHlgpDqCUNTwtf9x8pAKVYukUX0AiHBaTgES7aCSWUAUlcu1BE0jlbXtVTjQHN0NTbMDlFc/p8/mvzfPI4YC261JNBP0E7MhIco1YMjaCMdu4/rYXXZLEx5UJ3ThhsW8xPS84MuMzMerRcF0uO132Y72svXr1hvc+79mb3v6l2/elv/q65z7TEDru+KECeH6cdd7l7H7kE+m6ba/74yNHj9q/+tO3/varp7/sve3DXTw7oFEVjDa67Doc89jeOqOh0ZXnG99adc1YI6FeSbAtIwXNdRqVoMfhmT5//H9b3P3ECFbg4AqBNbR9qVT/luWqiUkuPdtQE981ir1apYPrLbDrSMKXv+5ycNrm0rO6XHZGjNKeKZqopPTDJUgHNLiiy/PPmuN5Z/U5OGVxw9drPHGoxZQOsYQsklk3GVRWci4+oCfDr5/GnFztjs8ZmxR/+sszvOX/+ByaH6XrCsJUEyfQTjWdvqmoCASObfaf1kKHuYUqJ62aYc3yDsfaDvMLik4PDk0LPvzlNZy5ectXpxce+almvaI+dcPe9LffePkzDZsTHj+UAAdYt+01HJ1qMzYS/8HFFz9PdtutC3fs/7Tct79x4Xhrxm5327z7sxUe2lFj01gG7prDSAMmWjErxxfx3B5zCwFxYvYsmgje5V0fqXLtHcvwAh9bmPGwJHdrygeBC4oy4N+OpQsRlefGBF5swO0s8Kmb4F2fWcau/Q10ZHHtHW0+9SeHWNb0QGi8NAWdZJcFD2kHSA0rR/u8/fUJG1e6RHHKz71wmvdc3eOKryxjqlvFsySeZWr4sUOpjZ/Vw8vgznTdMtOx9yOPJLV50fkL7J+a4vf/JWQxDhnB5BK9VDDT1sx1QWlDVXzXoRrYHJsNOHtjl9/92Xne8ymbPYc1Z58ymtz3pH37y156uTrn1JO/cfnlord88pkrAX47xw8twAHGR2v5h2/97DXXsnHjS2pbNy3+n4r1+E/ffn9b7n7SY2VdEHpQDS2aVclYM2HVxCLCmubau2xkWmXTSod6JcK2Yj5/l+S6e8Zp1QJGA0W7n3KoY0RBgbNkFlMMvE+sbETOycqNgZdQCbvY9gKfuEnwlx9eztF2k/FGZvwfNNlzwMYiIfS7BH6coVGC5VF1bFqeZv1onWMzAVFfUa/0Wb+szR+9ro0Uh/nYTRbTvYDABi/J6+QZTUmzjiaDTqYspnP6eE7MbLtKp1elH3lcesYsLzx/mlsfCJACmlWLdWtA2bN8+W6PfVMejpUQeJJ6xSSbh6cbrB+TPPtUTbu3WrUmt1x5ymTt9Z3uTHv55Pd2tOz7dfxQA7x8vOwnf4L56V3tShj8+hO7V21vHqid+tqXdl5+3a1PkGqzLWJiRDM50qcazvOeawS33tPiwi0+K0eFqWTIPu+6qsXsbJWTxlMmGpLRUYVbneKrD/hMHavRDPKZyBIPtwajaa6d8W8/ohJ0uP5ueNuHlzHTabF2FMYrKWM1WDXpcujoKBV/kYkWJLUeqD4IC2kbcK+uK1bVXe5/vMba5RFjzR5RbLFsVPL7Pz/HTPcoX7hjBe3IInRViaKoQj6rC/mszqTGEfuP9bj5AZ+KXWeiETA50mPdSsVvXD7P1x7sEyuPwJVsmLA4/zRYMTbNP101QWUOfDehVXdJ05jpuS6RPJPzzww+s3zVeQ+G1fV/nyad9jnnr3um4fBtH/9pAA5QH1kPcEzHT/6vk056zdp77nuc8cnRl3/964+xcmyesSYEnuLBJ/t86eujbB61GW8JXAfqYcRj+xRT7SqrG7C8JVi73OXZp8WcvDHi0NGUG/ZXM+MaXbKZMH4gg/KgKTdWgx6ziz3+5QstDs83WZ2Be6QqGKlbNKo2cQqdnkOU2Chlke9wt6UgsCH0jKHlTFsQ+u7Q7syVkwm/+uJ57nqoxky3Rd0zTRrT8BlUT3KHKgAhNaHfZ+cReN/VY5y2IuTCUxxSJQm8hJGwx0mrFzh82CdKNEdmJAePNnjR2QvcfN88B/ePcHA2QsiIjWuqTKw4m8nWyZ8RwSm/qdP2kyefNPFMQ+A7Pv5TATw/hLOWhbljT568+ZTfqfruR87YuvU36N978b3378Rzj/D5u0NCy2PZiKBRlTRrEZbd4dO3hejIY2IMxpo24y2LwI/p9W2SWCO0MpoUWTLQFGX1oCkNmpp3lxvus7ln+wiTLYuxMKURQi0UVEIL1zVXjYFOZOCWma8NEZl1RRRpFroCf9HGkp6Z0LEbnLE+4TmnzXL17VUWY5tGokwEV9rs1dG55dqgTCiENsMJjkW/n3JkxqIa2tQrAWuXV3j5czq851Mxc4sOcwuag8c8lo83+PFz2nzkcI9Tt7SYWLGFbWeecrMWlb9fs3rT/UmaPDkx/r0fCP5BHP8pAQ5QbYwBbNdab98MDz7+yNzyiy4+65/3H7hvU6fziDVaTZloWYw1NGONHk8cjLntgRZNTzJaE7RqNq2aphrEOE6CEFZR53as3CBIDBovMk8yU3wvIlY9PnDdOFL4TIQprYpJdEPf6M9tK9eO5zrxGEWKJWLSNCFKnSwKG9rRjySLXYklHUQ2vFD1+/zCC+e5/u5FOnHDRPCEzNNw0DcyZUGReZNYaBUTp4rFHswvJEzPuzTmPEYbVZ5zcpcv3rnA0ZkW43MJB6ZsVk5ZjIQtfu4V56Wnbztl+5H53hu2nXbBwVTxeOCI//B79MNw/KcFeH5k/uCPq2jm8TRNXyRte+Xv//qzr7zmi1+tb5ncXZHMo+jzuTsC+h2fVWPQqFk069IIt6qmOSPsEM8W1DxBNTBt+SRRZi4xm3u0bDP3WPX7/PvNLvdtb7C8qhmpaFo1i1rFwrEzy3ttBojNXGaPT9xk8cW7R/jvr1ngs3cd45ZvThIlomyFQreXe/25WFIT+lVOW9/hVZfM8m831olyepJ1/k3t2lRUFjo2gevQj1zSpE8nVswAM+2UelUxOy85PB2ybkWNl5zf4+PXxcx2BHunfZ5TPXnx/HOeNz/dTl/VaK7dv3K19aRr/ecGdn78pwd4fki3hdb6yVNPHd27/3DnlF/+2eiCND3/X57cvT2Znr9nJOm1axvGBM2qEWM1a4rlYwuMNdskKkEAgWOaSOuW28x2Ug4cVVRCQ1uMLsQoBqUVsfuIgyUcRkJNsyoZbzlMjFjMtWPmOymV0DR5XCdleiHm4zc2WFgYY0Vzjv9yyQwPb+/Si0PAjNVVQk27k3JwSjDRsnBsl2rg06oHrJvoIXVClNgkqTnpNAbco42YA0dTZtoeUrr0IhuNoJfCwR7UfEWjlrDQdZiatRGiSd2PuOz85Zx7xqmza9esXUDI169YufGOCVGbUykq9H80wA3PoFz2+3FkZT21cvTozNr1k9d5fn3LE/d/eOPGk9/0lz9/+XMeetllI/euWtXsYfk0Kh0OzszyxL6EhU6F9ZOa0VpKs+ZwykZFfbTDgVljlmlbxmTItc3U/6N7BJ++tU7TF9QDaNZsJkZszj91njUrjzE9H7HYVdlUvuLW+yXbd4dsHrN58sAoJ69xuOCMHhozCFwNBGOtHrun5rjzkS5HplOm5y3mF13anYCXPSdm/Zoe3dgMXEexKRVKCZMjHQ61F3hoV8zMvGR63ubJQy5112bzyg4jo4tMtyNaDYdIB71HDq24V4eX3PMHv/mGh17w/Bf/9t7d961zKyuve2jnwozviB8pcMOPUAQvH8JZB8b7p/PwY/sQ0v5rx7b+etWGM6112+rvXZjvbllZe+iiT1xvWb7wuOSsRc7ceIzHd6dUAsnysQV2zywiMG38aqgYb/aw7ZQ4MSY6/a7LaAgVX1ANLcZbmmZ9kblen7mOZjLSqMw3uRtLtLLxHOhFEgsHzzQyzZiXK2hUIprVNnNdybFZh5GGZKFr0+25tJqSwEnp2WaO8+i8pl5RpKlJEOb7MQdnUxa7FnuPWtz+QMjmcY8XnBMyPh7z8J416elnbrjVsp3HZ+Y7b9p7hNR1XZTl6R9/6euoBj+SMAB+RAFePk4+aRUMVCCJTo+9Hum1pqdO/6sLDn/ZtdJdqXSaZ0tv8ln1yhytah8hZ3h0l00z0FQCwWgjohPNs39/lZNW+wjLwvMsKq7GtSW+KxitxxycVtx4T0C/ZwwQk9RsRJAiSzqFqVvH2det3BAUqPpw6VkJ33wiZWreDCP0I0m37+L1ArQSjNcEG1fDgZmY6QXBwqLNzJzLaaun+do3Fth/JGT9mirPOnUNc/PhN/bN9765YfMa680vvDTywpHfT5No5oLlRp/9+tc90+/MD+b4kQf40kNYYwAzwBsBdj12E1KKi0dnOz9me71XrRztneR7+9l96BAnr5BUfMV8p8MtdyX0ug6bVyZgaZqhTSvMtpoJCP0EN4ixpIcljE69H0MUW5mXoi789dHGmCi3tLAtQZLaxIlLp6+wMv24EJqZeQ9hVbBIkFJy0akR891pbr2nwfyiy1S7wnknj3E4OplVI2Os3Rg8Vl/uX9ntVa4XQt/8ip+4+Jl+yZ/R4/85gC891p90KcDNc7MzN2/ZzC22FW88OnVQrRr/rDpl28T6NatGf689v5sVqzWiN0cU7+KOhzSBSLnwVE27E9Hre1iWsUUOLMGalRD6EbNti3bX7GoXmVJRZ1sdQltRCwStuqQTJTyxz2G06dAKe3TaIZ6t2HW0z/wOi8vOsjh78yx3PFBhoT/CKVtXklou2zatJ41m3p7ofbt+5icvlZXKMlkJnR3Ada1m85l+aX8ojv/nAZ4fjWYL4Lr888d3HcZx3Ob0sUO3HzkEWwIZn74u/B9CnPPCC0dTNm1xWObfxmO7jjAz7+F5CTfc1yJJAlYv6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'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 36148099
{'hecke_orbit_code': 13510936455282769, 'n': 1, 'trace_an': 4}
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id: 36148100
{'hecke_orbit_code': 13510936455282769, 'n': 2, 'trace_an': -9}
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id: 36148101
{'hecke_orbit_code': 13510936455282769, 'n': 3, 'trace_an': 0}
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id: 36148102
{'hecke_orbit_code': 13510936455282769, 'n': 4, 'trace_an': -77}
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id: 36148103
{'hecke_orbit_code': 13510936455282769, 'n': 5, 'trace_an': -180}
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