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{'Nk2': 15552, 'analytic_conductor': 87.94660192538863, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [48, 1, [31, 37, 17], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 14569, 'field_disc_factorization': [[17, 1], [857, 1]], 'field_poly': [-3642, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-1587996193500, -382860, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197693583408, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 384, 'hecke_ring_index_factorization': [[2, 7], [3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '48.18.a.h', 'level': 48, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '3.18.a.b', 'nf_label': '2.2.14569.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3^{8}q^{3}+(191430-55\\beta )q^{5}+(-12235784+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '17.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '48.18.a', 'trace_display': [0, -13122, 382860, -24471568], 'trace_hash': 1525674657572210180, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.930', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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-
mf_newspaces • Show schema
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{'ALdims': [4, 5, 4, 4], 'Nk2': 15552, 'analytic_conductor': 87.94660192538863, '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': [48, 1, [31, 37, 17], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 130, 'dim': 17, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 301989936, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3], 'label': '48.18.a', 'level': 48, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 142, 'mf_new_dim': 17, 'num_forms': 11, 'plus_dim': 8, 'prim_orbit_index': 1, 'relative_dim': 17, 'sturm_bound': 144, 'trace_bound': 5, 'trace_display': [0, 6561, 24478, -18920320], 'traces': [17, 0, 6561, 0, 24478, 0, -18920320, 0, 731794257, 0, -8886916, 0, 1590277918, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 39342
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '48.18.a.h', 'source_level': 48, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '3.18.a.b', 'target_level': 3, 'twist_class_label': '3.18.a.b', 'twist_class_level': 3, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 18}
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id: 39343
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '48.18.a.h', 'source_level': 48, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '9.18.a.c', 'target_level': 9, 'twist_class_label': '3.18.a.b', 'twist_class_level': 3, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 18}
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id: 39344
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '48.18.a.h', 'source_level': 48, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '48.18.a.h', 'target_level': 48, 'twist_class_label': '3.18.a.b', 'twist_class_level': 3, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 18}
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id: 39345
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '48.18.a.h', 'source_level': 48, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '75.18.a.b', 'target_level': 75, 'twist_class_label': '3.18.a.b', 'twist_class_level': 3, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 18}
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id: 39346
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '48.18.a.h', 'source_level': 48, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '75.18.b.c', 'target_level': 75, 'twist_class_label': '3.18.a.b', 'twist_class_level': 3, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 18}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 160600
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525197693583408, 'p': 2}
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id: 160601
{'charpoly_factorization': [[[6561, 1], 2]], 'hecke_orbit_code': 31525197693583408, 'p': 3}
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id: 160602
{'charpoly_factorization': [[[-1587996193500, -382860, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 5}
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id: 160603
{'charpoly_factorization': [[[36563624964160, 24471568, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 7}
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id: 160604
{'charpoly_factorization': [[[241662899580669072, -987553512, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 11}
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id: 160605
{'charpoly_factorization': [[[85826630199297988, 2519398244, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 13}
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id: 160606
{'charpoly_factorization': [[[234781594617081830724, 34313126364, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 17}
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id: 160607
{'charpoly_factorization': [[[-185234520277889694320, 80053542184, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 19}
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id: 160608
{'charpoly_factorization': [[[-222412635685819130166720, 297228742704, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 23}
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id: 160609
{'charpoly_factorization': [[[-502734177663602624512380, 470374069572, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 29}
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id: 160610
{'charpoly_factorization': [[[376073386682108523443200, 3400754454592, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 31}
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id: 160611
{'charpoly_factorization': [[[-413610177451119192548099420, -10652012180428, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 37}
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id: 160612
{'charpoly_factorization': [[[2666589765699308594999488740, 113376799448748, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 41}
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id: 160613
{'charpoly_factorization': [[[-3605412239982138048161680496, 61637031489880, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 43}
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id: 160614
{'charpoly_factorization': [[[19055553710579005582938491136, -279645641926560, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 47}
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id: 160615
{'charpoly_factorization': [[[54965175144381085457532216420, 530964038611476, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 53}
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id: 160616
{'charpoly_factorization': [[[-179080275397350121743603037680, 1727524231086456, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 59}
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id: 160617
{'charpoly_factorization': [[[1937726483198503748375663473156, -2784287656027900, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 61}
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id: 160618
{'charpoly_factorization': [[[2733616113184466986354889000464, -3329301676696184, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 67}
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id: 160619
{'charpoly_factorization': [[[45166429353916529613725667660864, -13489402206504816, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 71}
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id: 160620
{'charpoly_factorization': [[[-175242316299457817977086373843100, -436589918136724, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 73}
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id: 160621
{'charpoly_factorization': [[[-106848883990011720062065941804800, 4376041565214880, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 79}
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id: 160622
{'charpoly_factorization': [[[365757457501467273571999574646672, -39886442265612888, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 83}
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id: 160623
{'charpoly_factorization': [[[-1690885178941200888313319251706460, -6972184096107444, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 89}
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id: 160624
{'charpoly_factorization': [[[8114017702591983179536147275888004, -183569555712460996, 1], 1]], 'hecke_orbit_code': 31525197693583408, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '48.18.a.h', 'level': 48, 'portrait': 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4Zb9q1wcFsDx9E8crPL0lKFp49oQtHhHXckpGmBhZrL0aklGs36/vnFhQdGS7Xtw4XmY3/vJz8Y/dy//cSbDYn/quMvdQRvt9usrKZ4nvjZhfmpe7/x5Gfk/CL3RuGstWHUECWG7RMWJ84XeOlUinHafN8jhmZjiGdeT5lejple1QxV2vzzj61yx26fKwsjzC0WmVu2WFgxzC8nzCylLLYSqsNd7ruhzV37wJE+rnJZWPW4umwxvyrohJAkGs/RFL2UoUqCBqbnE5pt2DZhU/RDjBEgHNqBZutkyErdApNRkXobwgQMhtVGxKZxm1agEMogdEjZs9m6oUu9I5ies0i1xUhZUvIErg1JIuiEkvlVydUVw0ItwXW7YCfcfaDNvQcFY2WflVqZKwsuc8uwsJywsJowuwrnVwy3Hljm//jBFYaKReYWh5m+WuWZ12A1bPDhtwXYZphDx12OT3fZuiEhimC4lLJ5YiIJtffiffe9/djhE5f+5x/6yPtNkiS6XC6/2VD5E4+/tBH8yMt/zNYdt/CP//H/+jOzF7/8d5999hvXPf1affvW8a5ME5taM+b0FcXOrS12bPAg9VhYlpyd0WwYstDaIokMUivmVn0OTUlu2LXKvi1dCh7YlsSxFY5jUfQlBVvSaducueTxxGGH6cWQZhJz5krIxMgq77mvxg3XtbhtX4NLywnLHUHB7XJhztBoFrl+p6TeTTl1SVEqWJyYht0bDd0opZs6WFbMUAlOX3FRVootEywbglByx74OQUdyw3UpzSBleq7EjklFsRBRDw3j1Q61dpM/ehJev5hy9GKXbRtXuHFvk6HhiEfvbvFdDxp2TZZI4yoXZyucn7G5Mq+ZWYyZWUw5vyi4XI+5ac8S/+JjLSYrVeaXR1hYKXN53iZMEt5+V4BFhcOnPF4+k+AVWzx8c4pEodMiMwttuXvTyranX5q+3isM/eCNB3ZurFaHn/i13/ljPvfpP36zIfMtj7+UEfzf/8rn+Z2v3K5+/scf+6evn1n4R1dnL6nxSoerKyVaccp9+yXPHnY4eimmUm3wk98Vk8ZjHDnrMb+SUvAVaFhpRKw0EpYacKUmsPwu9xxc5XsfjNgxXqTeLrO46rO06rDcEKw2MopQa2magaYZGjrdhJFyzNYJDQhc2zCzaCOky7ZxxY6Nho3jHRZqIUemSty621Dwaxw/N0ypGBFFNiNDmqAL+7d2+YMnq+zdkhCGhtGKJE4DSp7LiUtdfLvIzXsSjl6IWFhx2DTismMDbJ2MUCpmZhkc2yCEYdtEwlBJ0gpc2h2bZsdmtalYrcNKQ7PaSFlupMw3YKWbsnVTm+99aJl79ll4dpmry2WWVj2W6jZLNQGklHzD/LLhyPmESDb5yQ+1GPFHOXquwFNHUu6+oUnQ8Zhbidi5yWbL5g1paLb9zMc++sC/mDpyLN1z8wfebOi84fhLBfDTp6dwHN9v1i5vfeX1E99z4tzUv3S4TK0xzOXlDt//tpA0KbBpXPDa6QrHziWcm+/yrgcXefutNrPzY8wuubQCSacLzZam3kqotRJWm4aFhmCubUC0+cD9DR69Q7Nzg0cUFag1POpth0ZLUWsLWh1BN8xoUJqCkgbXBt81VMuG8eEYy+5y/mrEsXMuOinyjjsjLLvOq6cqbN8AXzmUcP/1LouNAM9SJGnM8BAksY1lJ6ysFLjvliZfeaHEjg3wylSITYG336FJRMCx8ykXZzws6TAxZDFUFPiuwHEESkCiIYoN3QhaHUO9rWl1NPWOZqVtCNKUbZs7PHpXgw/cG4EusVKvsLjqs9KwWW1Y1JqCRjsl6Ka0w5SrK4bplZC33tngvXeVOHdliOPnUl49n7BpzCBo831vS7k0V2WxvsztN25Fy/3/eOPGvX+8d/eWy51OEOy8bt+bDaX+8ZcG4OfPT1GtTjpzMyd+6NKls798fupVMbsQyFKxy7ZJh1dPeZyaafLWu0IeusGwUhvmzHSBw6dTjs10+V++f47rt5aYWaiy2nCoty0abUGjZWi0U+qthEZbU2sbFluCqw3NULXDW29rcfe+hG0TirJv02x5uLYEFFEi0VqgDXS6gNAMlbpMzRq0iXj8lSJhx+e6TQ733NAh1nWePlzl5t02U/NtGrUyd93Q4euvukwMG05NG/7n9zc5dcllYljyxGHFPfsVq50mF64Mc/OeiKePBSRhgbsPOOza0iVI2nztVQWp4PyMRblgYQnoBBJtBKk2xAkgNZajabQNxVLMlg0h9+7v8NZbE0aKHgurFVbqPrWmQ63VA7ah0UppdhJaHc1Ky3BpxbB/V52f/h7FiXNjvHbGcHomZqkVcf8tHd51u+HkhXFePhOzc1MX1/ZodQv6rltuNNft3vu3Duw78FvzC/PR7t173mxIAX9JAF5rpLITdN7zwjOfv26kEv38E08/ac8uWVy/U7DS8HG8kLGiz9OHBRdXOtywp86jt8Om4TIXZop89rmE4eEr/L3vTel2R1mqFag3eyBXNDrQahuanYRmO6UdaBodw1JbsNSGOA25cXfA5HBKu2N4510h2yc1SSqxpCGK4akjHpcXPTYMJRw/74EusG+z4pa9Gtfr8OpUh6XlIge3FylXa7xw1Ob23R4rnTq1WpnJScOhU4rvf7jNy6csNo/bLLcb1FaHuWV/hxeOpwz7VQ5e12ax0eDQySq+VeS2vYY9W7sg2xy5KBgfjllYinn6iE03VkgJqTZs3xDx1rsiWm3FxiHNLbshigqsNgqsNlzqbZtmR9FoS5ptaHZSWu2UZiel2dHUOzDflLTSkJ/+vlmGnQ187ukK5+dDJiZavOOuFrdsL3B5bownXzMMDwX4tkutHbJve5fLc4Idux6Ot0za/+ujj77nnO0UviiErd9sbL3pXpTl1YAo6vzgubMv/dvjZw4PbxtdJdEFlptdzsyE3HNAgrHwHNi/wyJJfZ59xebcTIt33tngxh0t7r054ksvRoRxh20bBJZK8JwCvudQ8GyKvkXLl5QCm0rRotNNaQcpE6EmCA2trsvqksfMFUOUaGbnE1zXAAJHGSwp6AQKgU3Ssbhpu2DXRsPWTR3CtMVXX1acPjfE2251uWV/jd/5qsERBbZv6nD0BcWmqmK03MFTPlFss9iComexeULw+umIW/b4PHjzMr/9pQDHLvEddxpst8M3DkV85aUiJy/67NxYYPuGlLGhiB2jMddvT1FKYykDGAquy1jVJYptWh2H41M27a5FJ1C0u5J2AO2uod3JvnsrSGkHhmagqQeCxbbk6qph18YGu7c0+dzTPktdzX23tnnHHQlbR8ocPz/MiQuSeiMkjGwSYu65ucbosMfissczLzxjP3J39d++/MrG1Ttvv/PvmDT4baH8/3EBXm8EgPhrl6ae/dkjr35leHW5xtlLsG+rzYEtFZ4+FiJVg4+9A+KoQrtrE8c2jgWnZsr82hdcJse6WEpyYc7j//604jvv7XDfgYhqqcRKo0ix6VEOHNodi1Z+s4OuRSe06IaGbqSJYkMcG5I0O6PEwWiQSmBbAs8RVEuCoRJMjmo2T3QYHWrw2KvwzGs2Uld42602N+1r8dzJmKhb5p6bBI0gYHGlyN17NKPVDr7l0k0US80YpQU37bEolEIOn/F44JYKd93Y4vAZBabCrQccfuTdq3z99YgnXi5y6rLH1jHF5LDPUKlApQS+C7ZlUBK0gVMXBWkqiBNBlEAYk33HMCUINd1Q0+lqOqGmHUAzhOW2YqEFXd3lO25b4b331tm9QfKd97eRD8RsGrZpByMcPlPh/IxgZjFidgU6JuIHH61x83afpw8PEYRtvuOODjNXY85ceWx4pWn+9bvfep+VxsGvK/vNA/mbBvDllTqgf+T5F5772YXpx8bDoM0te0p87hnF4akOd+w3bB1zefzlMsJa4W+8e4F92zSCMkLY2BZcXnSYmXeodwVhCn/wjSpff63J/dc3+OgjDa7f0WGkWmClXqAVuHQCOwe2ys5IEMaSOBEkSbbUG5N9PiUNlgWeAwVfM1yK2TTeIaHN1GzMHz3tceFKkarrc/sBi7tvaHLobIPHXyxz526PrRs6/MGTAiVcyqWYejtEG1ACxsodmi0Hnfi85/5FPv6VArsWPB69s0MUr/D0sRHi1OOOA+M8enuT3VsafONwh6NXChy56LB5WDJcFhRcgWNnD6EUIIRBm8w2HCf5wxobwjh7kLsRBBG0uoJaKFhtgbC63Ly3zkffWuf+gymjZQed+hzc4tBou8wulJie95i+ChdnI87MalajLj/63mXecZvLa6dKLLZD7jkYovQQxy86VEstvvy1x8c3DKU/e8NN95tWs/4bpfKb42X5Cwf4s0/+CsNDE8xd+OrHZufDnz927NzomemAR27vsHVc8/AtQ7x0ssizryekccqob/Gl50ZxnBV+9NF59kuNMVVSbZMtzSmNtqEZCupdi9X6MH/8zRIvHW9zz411PvoddW7e1WAk9UkSl07Xox3YBKFFFCviRJKkklQLtBEIDFIYXEdT8BJcJ8KxQ2ZXQr70iuTcjMPFmSGUdtm1wWH/DsWt+5ood4lj50tsqhY4uBMmx2qsNstcv0mSaMNjL7uEHUm1mPD2O7p88emYy/Ml9l5nc7WemZ+2TAxx444lnjva4oUTgjBy2LdjmH1bXPZtbnH+6irnZuHl0wWmLhQpWALXkhRdg2eDlFlSZUz2sCYpRAlEqaAdCppdQTOGSCdo0+W23U0++tYm91+fsmHYoRuWWan7tDoO7cCh3nJYrDlcWYBLcxGnZjWLQZsffVed991ts7w6RLUED90oqDdHOHRccGEuYtuGkPu2Jjz2+LPjJ6aWfj5KvQTGfyc1C6ITYsreX1zq9xcK8D/8+O9y34FXeeqY+L7p6dl/v7J6oTo25FJrFPnCs4ah4Q4fvH+Fgj/MmWmfWjNluJRQXBU8+eIoL5/q8D+9o86+7YZaa5R218YYg6M0fldTcmHIF7RCm1pziE89U+bJI10mhjp8z0MN9m3p0g3aHNxh2DKpCGObNFWkWmJ64JYa20qZXjBcnBfUA83nnyswuzyEiWyGPMXGEYttkxY7N8HBXU20XOZXv1hkdbXCnfssDu5q8I0jApHYjA9JioWETuwgjQQjUZZDoytYWBUcMAUeurXF84d9No463HlwmB9+9zK/9ZUWL58p0u7arNRL7Njos3dDhzv2tPjgAy3mVlf5/HMuKx2X6as2s7MOthJIKREItDGkGmJtSBPN0EjMDQc6hGHMvi0hH3ooZLyiGC65xLHH1SWPTuDQCW06XYtWkHlrVpuSlXrMmdmIPbsa/B9v7zDsl5merTC37NJoS2oNzdSVlHOLId/9tgaT5SLnLnucvnKVywtzo1s2bv43rx795j+OU34kicNn/iIx9xf2KH3yEx9n0/jbxOWFz3730uKV34raFwqLdY/zi5q33Ci4ulDgySMR+3fX+OgjksXlEabnHZZWYbmesFhLuFrTuH7EIzdpjBmh1YFWJxur0A01QWToRoYwhk4k6ESCViRoxaBJQCeIJOHWGzrsmIxIEtBG5LREIIVAKoFlS85cdjh1zqPoWZQcyWhBMFaRjA9bbBxTbNuQsndbnVSs8IufKTN9ucqde2zuut4wOjrPf/iUg6OrfMftin3XLfOrX5bEzSG+720pq9Eqv/2lAjdsLvDWuzTSvsovfqrEZLHMXQct7jjQ4vz8Cr/02QIiLrJ3k8WWCYuNY5LJ0ZTxoS5D5S6+16Fc6HD0Ipy5IrFtg1IGITRgsv8ZSBLYPplyz/UJaWwTJy7GOHQjm6DrEITZitaNMuoWdBWdUNIOJM0OtIMUabV48NaAgu1zdcVnYcVmqWZYXo25sqiZbcZ8+O01btpW4puvlJmrtXjg5i4XZorM11LuumUPGzds/cEHdz/6+8+fe8I8+u7v+gvB3V9IBP/85z7Fholxdfrclz/QbMz/jgkveal22TyqODNt8+LJFd57T0KzXeLx10tsmVjiBx6OKRVGmSl5VEoW1bJifDgl6FpMz0nGhgS2BUXfwlIa19Z4sSaMNVFkKCcQxpowgSgRdGNJmLrEqcfpc0WOnIbUGLL6ZMaNbQmOyjwfJRcOboCyD5WiZKikGKlajA/D1smQDWN1YrPKL36mwvkLFW7Zqdi5WbJrc41vnkhYWKlw6w7JUFnjOQGudDFKkKQSYQxJGlFreyys2Nyyz+emPS2eO+wxMSQoeCVu2aP5iQ+s8O8/qzkxW6Le1tRbiqWaxWi1yFDZZ6hcoVyIGSvGbLslwrUTbCtBqRQpsmTCINBaEseKxSWLbGiRIooVYZy/RpIwloSRpBtJwkgQRIIwgigxeI5kfLjMzNUSna6g1oTVRsJyPWFmWXNiTvORty/x0PUuXz9U4tjFNu97qIZvjTK/4uC6MU++eIF7b05/leSzgbS2fOazn/lE+v4PfPdffYC/9sIfUi0bdXnuwodWVuZ/+9T5i962cYs4VkSRy4YhuFor8ZVDHTZWWzjC5+mjZfZuWea6CU25UKVcKDJUtmm0bbpRFpUsKTCQ+UlsiedkakiUpJkqkgycKSSpIU01qSbj25o+uIUAJcGSYNvgWgLPFRRcSbGgqBQkQxXB+HDCtskOpWKdzzwf8fSxYerLZW7Yqti2wWb3li6pqPPYywWKtsXYkKJU6HLsPFnH/RZDJ1TcuDvmhl2G+aspSzWHoFvgHbe3ePZowNSsouhLXKfM9Ts1/+JjKzx1IuCLT42y0jRsG0+pNbIHvlK0KRVsir7BczWuo3GtFEtlVEvK7B4YQ1aw0oJES5JUkCSCOJFEiSCOJWGcKS9RLPqJaRxrkjR7UDqhAAxhpGm2E1ZbmpkVaOuI2w/WecsNmjQp0IoD3nlfg6IzzNxCkYqvUbbBsWLatePerGV+L1XW/xRT+eR/+LVPpD/xo3++IP9zB3ixNCtbXfPhufnOf2ysXPXS2GKl1WTbpMfGYUmp4KEpcXHOYX4+oewZpqdL/J1fsnjffav8xHfOc1O1yuX5MqtNh3ZXEcWCVGeSWJKQy2KKOIEolpmCkKzJfkmqSdNMXUhNrpTkaokQAilBSYFlCRxL4DoSz5UUfUG5YKiWNBPDIWNDLRJT5xPPSn7rKyOMex43bBVs3WCzfaNm24Yan3nRsLrqsW9SMVSGUiFm4ZJksebi7IAwzqhOtQpTFw21pmZ+2WP3do+Hb23xpWc8RkrgOg5KVrl+l+DHHl3Elot84bkhTs56TDRjxqsJlaKi5CsKvsR3LVwHXBssy2QgFyDFAMjJHuxUk127lBzoEKeGKIE4TvPAoPvXME0Nqc7+Pgg1qy3BxWWQbsD//IFFvvMeCIIR5pdtbt8tEGKMCzMOZy5rZlcSNowFbN8UUvDKHD0z642M6V9T5RHLSPmfyeLMX02A/1+/+nm+8Hz6sWH7pX/z/GsL5fsOOgRdj+dPSpaaTR66ucXB63zKhSrDZZelVYtmJ8FzNNPLPp9/VpHoZd57V42DW0PKxTL1lkenq3IFRGQRaN0pM9CnkKaZkqB1lnBpbTA9HZAscgshUEpgqYzyuDZ4LhQ8TclPqJYSxqoBo0N1nj8d8XuP+5y5WGV7xWbXJGyedNg8AXu3NukkTQ6dKuMrm7EhRbUE1VLIUCXBcSyEyB6uIHRYbcbUO4ZGO2Gx5rB1ssRd+xZ5/OUOZ2bLFNwYWzkIUWHXJsUPfMcyt+1d5PceL3HoeJWVtsV4OaFaSCh4Et9TuLbAtSW2LbCURCly+TBDuQGMMdnqlQM9SXUfxFlg0CSpzmVG+qtglBiCSLDaFiwGmv27arz37hbvvlPRbI4ws1hkpW7TaCsWVg3nZyKml7ts2tDlln2aXZMFXjzmMbecsmXiTDkJt/7iR99zvfOj5/7otzZf971/9QB+daGBlPKvfeFLn/7Zrz3bGAkjn1MzIfff0mR0qMyrZ0b45Nc7PHJ7kwNbbZK0jO/a1JqKgpdQdBPmVm2+9sIEzx5p8fe+Z4W33RrjOWWaHZcwsnIOKYmTnpYtiXuRKZV5pAKtJdqwBu6sSJlHbrBUVjBxbIPnaHwvoeQlDJVDNow2WWh0+OXP2zz2yjCrtSLXjQm2jgs2jTtsHhfs2NjFcup8/GmLC1eK7JmQDJVkNmZNhswuGVxLIgUYI4hii23jTV4mpdlR1JqGhVWfPZs9PvhQg09+w+HSgottxQhho02ROJHcuqPGto80eexwhz94bJhXLxXZNCQYLaYUvRTPEbi2wLEltiWwFFniLEVfTTBkD5k2ZEpLmgG+B/IkDwpxmnlc4sQQJtCNBfWuZDnQvO2uRf7+h1oUnSqz88PMLfus1C1WmlBrpiyuxizWI27eF/LwzQ6NRoEvPqM4PhNy340RG4cUUXxl5PzlPT//yNu+S5m08etC/flM3PpzAfjyShPbtn/4ueef/dnzUyfHr9/RIo4LvHzaIUzqfPDeiC3jQxw9X2al5hBvTBgfjlDKoehLir5NqSAp+glFD07OVvi1ryS85ZZ5RocMtl2kGzqEUa5lpzLXszOQp2lOYXpcW2d83eTgFvnSrVSmOthK49ga10nx3YSSHzJabRPEAd84Zvijb1Y4dLzKkGNz/SbDhmHJxIjDxjHJ5omInZtqHL0U8Plnx6goi7GKoFwUlAsxjU7KV170KDkGITJgBaHFe+4J+fJLmSem0dYs1iw2j5d4/71tDp1ucWrKoegmKCkykOsC3Sjj+j/wcIM9Gxb5+FNNXjhZ5XLNZ7IsqHiGgqPxLI1jg6UESmYPchbJoSec6Zyqab22wiU6W/WynAXiNFshuwk0I8liANVCjR97Z5OyO8rp6RHmFl2WG5JaU1NvpTTaCbWmxrYEo77PkVMexy7AldWA9z5U58CmEodPS9oJROb0eLny/M/edtsDOgwav+n6336Qf1sBvrDUImjXSVN+8PTJJ3/hi48/NkLcod0ucXpO0GnBNw4VaYdN3nPXHN/5YObNcBxNmsYUvJRK0aZatKi3LaolRaWUIETKyxcqfPrpJX78/XWk1HQdlzCyc1XAIknzgk26BnBt8sit19RQIUyeVGY+DsvSOHaK68T4bkTJD0gJ+PphyR8+WeX4xQoidtk+ZNhQNYxWFWPDDpOjko1jMVsnm1xZavGfvlgkCX02bxZUSxblIpQLMcKOaAZFqiWDEJkkGSeSYVeR6IRW7NDqpNSaitklnwM7S/z199b5+f/sMr1UxFJx/mBYJIlHN5JMjrjcel2TG3a2OTE9yx990+fxV6vMNXyKrqLkQNE2OJbBVmDJrJwvxHpdWANGZw9dqgWpIQsSOgd3Ct1E0E4Erdigux0+8q4l9m+1eeXEMKcueSzXDPV2TLOd0OxoGh1odgWJVnz5JUE3jZgcbfGRd3S4/4BLs624fX/K1EyRZmOOY0c/P97oWr/wyH23J43Vud/1C0Vs99sH9G8rwJO4Q7E89L6pMy/80pkTXyhbYolCVbFnwwi+67K0mjK/Knjx9SFePtXl4duafPD+NsqWDFUsxoc9Gi2fetul0XZodTLvyO372/DUKivNlFQFVMsa33UJY4cktokSiyRVObglqZZoIzEmowSmn1CCFBqlDJbSWFaC6yTYKqIZxCw1Y/7dZzwuLg5x+FQVox1GfMH4qGG0IhgpK0aqNhMjksmRhE1jHUaqNR57TfPqySo3bBYMlSSlgqRc0BT9CGGHuK6FpbL3NwbSVBKEFkE3JtGCVqBptQ2rTZv5lTJ3721z14E6H3/Cw19VWDLOAGksktQhirMez9Gqx2272tx2XZuXH5xjeknye49XWawXmFlxcZSkaAucHg2TWeLZD+Q9qkIWyRMjiDUkOrM+dBMIUw1JDElIgRZjlYiXzlj84eMSX0S0u5pWV9MMoBYIVjqQqoRqoUvJCvnuh0MeuVngyjLTV6vMr9gsrvpMzcRct73NhfmIl04/NmJJfunuO26vNVvB57+dmPy2AfzU6XNs3DCunv7G71134uzZ8ouvdTh6cYjd29psGl3m4dvLXJkvcXHWYrgUM70oeexZj88/N0KrG/Keu+vcuL3JnfsbbJpw2ZC6xImD1oLRoSZ33LDMz/yey//5myW2jaVs2xhy9/UdLCyKBQtEBnCtVc65RdYbmR8Cg5AGJVLC2GBIQCacuCh55bTFlw6VOHG5RJQUKFmKMd8wXDQMFUymg5cthisWI1XB5HDCxrGADWM1nj4e8qtfGmdD1WKsDOWiolwUlAoJvhvy/FlFN7KwixmojBFEicSzFDfvCXjpWDUzPgUp9abNct1lYXmIv/7oAjPLK7z0+hi2BESMBpLEIoptwkjSDiyGSh7VcpG79nR48IYOH3nLEqevaL58yOPQaZ+zF4okwiIMFZ1YoYRECHFN4pnXBIwm0QajNbZIqTgRnoi467Y2OzZ02TYesWUy5e/+xwJLtZRNZYHWhq6G1GiGhgLefXuDG7Z1efddmlaniE5LrNTKnLrqcWlOcOlqzPRywp7tdXZuhD2b4eWTV/j6U0+UT1+Yu+7HfvD71Mz0+XTztl1/eQDeXH6B0kjgXDj7zA8t1aJ/E7VnePAmiw1DPsfOe/z6Fzp89NE6D17foVIaoeC7FP2E4ZWE5YZgWdt84ZkSn/p6zLbNLa7b2OH999eZHM5kwJVuxG99pcKnn6oQJQq0YWI85MDWkJFKwoceDtg6HhHHIufbEgYiNzn/lFIjpOBTT/kcPV9EWBbTcwVmFwp4vqLiCqpFQ9nTlD0o+YJKQVEuKYZKFiNVGK0mTIx02TTeJDV1PvVsmaBdZPdmQ7mgKBUkJV9T8hJsO+KxlzzCjsQeB5mDKU4kRV/xjjsCnnlN0w4l7SCl2bGotyzmVwrs31HiQ/c3OXyiwPRqCSU1EOd82SZOFWGcFWbaXYtG26HkFyj6Ifs3d7lzb5criw0uXa1j2SlHLlh88psFhFIZuIVcfxONBjRGa5JYs20i4XseDhgtp+zbppkYNWAyrbwdrPDrXzF4rk2SCCZHYj5wf5vrNmh2b7LodMqsNAvUGj5LdZe5JYvpq5qpXFm55+Y2P/QOzdz8BF9/yebUlRC/WGPv7uTffPO5Qx27svG3nnzxSPTw3Tf95QD46vI07Za/p12f/uXO0ksyTQtcnO9w456UTaMVXjpR5DPftFisLXNg6wr7to0ghIdjS8p+zHArZaID9a7N0soIT8wN8Y3XYxKdkugsK4xjB1yFcgUGw2LLsHBEY0TK5w5lPB2j87NXxcslMiEQQiGERCpFEltIbWFbkpILO8YMRVtTcDUFFwquoOhLSr6iXLColCRDZRipJIwNhWwca5FS49992uO5Y+PsGoGhQh69C5KSn1DwI4qFAN8v4CqJkjkHJ6MDcWzTDQRBmNIKVbbUBzprmSs6zCxUuO9AyE989wL/9pMWl+suQmiMidGpIU5soljSDW3agaIUWBQ9h4LvUXALeG5MyY+4dXeEY8fcvjvho490sFSSF4E0Qpj1pDyndFpLhJC4jkIYh26kqNUkBoEUhg89mPKd9zZAGHQqSbWDxKcV+Fy44tPoODRbNqtNi+W65OpSwtRMRKHa4gM3Btx/oMjJqSovnYDlVpMDO2IWV0t8/HPPy3vv0b+8bUvj2aDbPf7twOb/a4CfOPxxpKz6585NfeDChaOiFSUYCdNzZXy/xh17WmhTpXDB5xsvTjA91+RH391h46iNMQrHFplyUUipBpqxkqHdhWbk0IkFUSpINQiXvo6sjSA1ktQoUmNn2X8uew0e/SqlAEuIrFKpwPMNnmXwVIprg2uB5xh8V+A7koIvKXhWBvCioFrSDJcTRqoh48NtNo6v8Ktf0vzB4xNsqSpGS5pyUVEqKIoFKPjZnMKrK5rzV108J7PfQs/pJ+hGFjsmNZOjXZpdh6Br8iguqbcsSr5HqVDlo48scuHqPL/2+U1Y0sKgSfMHP04swkgRRIoglHQ8SaFr4bs2vpvSaGU5hmOn2FaKbadYMmuUkDIr54v8zKwrAhA5yAWNVkb1dG5GM7kalV1bQWoEcaIIo8yg1Q5s2oFFs6Py7wG1RsL8SsxqoPmud0Ts2VDhtTMVTpw3HL8ccPuBmM1jPgu1lGopYur06yKN4g9s3rL7/C/+2qeDn/zRD765AG8FFWdpdeUfnD8/8w/OTcey5Fe4OK8YrsD5OYt33rnMbfstfLfIxIiHlBZxHFIpJsSJwLEUvispBVkrWaebEnSzTptunFfX0qzxN80rcRlnXDNK9RKlQc4N5JW8LLGypMaSYKlMWbCVwLZMphtbAs+VeI7EdxW+pyj5klLBUCmmVEsJw+WQ0aEOWydWOHQ25ONPbWTIc5koacoFkYHblxQ9TdFLKBVCDp2BI6cLXDdmct67VjYPQsXtew27twa8fLxKJzRZ429g5eCwKXg+vlflex9Y5cjZRV46NQlGoXWa2WETQxKbvp8kCC0KXYPvKTxH4zo2rpPiWhrLSrEtjaU0SulsCxaZWYMRhkHo9pNzMguxya3EWmfgz+wOMgN3LDN+31W0u4p2IGgF0O7orB2undAKNK4F5y6OcuGCzZXFhJPThkYas31jzErDZ+8Ww/R8gWKhLtPwyj/V3bIzOVT6GSB60wA+v9SRURj882987bf+zuUrC86lecVDt3QZqdoEsebxwx2eOxnwlhuvcu9NVbYtlkjTrAihcvnLczQFL7s4rU5+oYKsyzuIDGGU9UTGaeZxTvMqnDEDWu7AZxqEeK9U3SvoKJlXLBXYVtYo4OTVP9dReK7CdwUFX1DyDeVCSqWYUC2FjFQCNo7VeOlMwD//7Qkuz1TZOaqpFqDsK4q+ouhB0UvxvRjH7tLoGpRU2Mog5donS3VmuooTh7If00k0nTDbn6fTTWl1JA1fUWi5eG6J7ZMx/+KHGvyz35G8eGoCg0IbTZpqkjQhSjRRrOhGisCV+KHCcySuY7Jpt5bGtjO931ImA7jKAK5ymiKEeYO1dC2AZCDveebTNEuUo9yc1elK2l1BO4BOV9MO0qwtsJMpLJ0we2BePpF50WdWNKns8siti2waj3hsqkgUKYQIuWGX4fj5eWd8ZOh//b7v+QHbmNY/FqL0Zy7n/5kBvrjcQOvoZ7759NM/dXpq2quWHHZOOjx3JKQWGOpdycWrw5y6XOXJ19u8664ab715BYFHGNsEoU3Rdyj5NqWCRTuwaPmKViDzU9HJgd6NsmiVgZy8Kpm/5l99IJ/MS/C9xDKjKEoKlMrkMitvRbMtietkA4A8NxvJ4LuGoqcpFVLKhZhKKWK4HLBxrM5Lpzv8s98a5czlYbYNZwpLyZcUCzIvUBkKXkrBi4nTiN9/ooRUClsalFiTCbURuW5v8wNvq/G1VyNakUsnB3g7ULTaioZr4Tkurl1m75aEf/kjK/yT3xK8cHwCbSSp7pXVNXGcGaFCL7O8uq7AswWuk1U2Hcv0K7aW0kiVaeNSGETvdTBC9Iq+vRUyN2ulWmQaeSzphtmUrVbH0Ao07U4G7E5XZ/2foaHdFTQjSTMSREmKlF0evrXFu+7qcvNOgRRFvPsDWoFNo+1xfqaANgmN1Wnv1Ze++D7P9f/JpalDbN99518swM+dP4fR5q7Dr7/iT1Ra7N+e4tnw0okS01c1Kk0pbjA02oYz51xOnC/zyWeabB9r80PvqLN9g0Jrn3rLp91xaXcdWh2bVsei3lbUWpKGJbGUxLYSol7PZN9T0s8lGWTePYBLAUJm80PkQPS2rJ7vRGLbMvNvOALPzWaeFNyUop+Bu1yMqJYDxqoNDp3u8M9/c5gT06NsHhKMFAeoiWdR9DL/iu8l+G42Mnl2ZQhbCZTUuSy3lmSmqSRJFBuGDEkS04y9jJaFmqCb0upK/I7Cc2wc28O2KuzbnPAvf3iJf/gb8NLJcVItM4CnhjhJ80iuCV2NF0m6jupTMNsG28ooWuZTMVgSpDR5IDB9Y9YgxjMZUWQFoVwjT1JBGAk6oaDVMTRaCY280NPq5jlUmJX2ax2DIWTLpjY/8s4GW0cN123w0OkwSysF6i2bMIKVhuTyVXjxdIrrp4RGs+HM8X33P/jBX0qS5G/+WXH6ZwL4Jz79BRZX4sKVc592Dmy9itaGqdkWD91c55Hbx5hbKrC4YrPSFKw0DAvLCZeXBMfPjvLM61Weer3JW25rcNfeFvdd32DDuEeSeHQCj0bbZ7Xh4doOYGGMyhJFleautjWA/0ng7pmopAQpRR/cSkosSwzQE/BscB2N7xl8N+PPBT+mXIioFgNGhxq8OtXln/z6EMemx9hYVYwVNRVfUPIkBU9R8AW+lz0cWak/4qVTgnbXwVPk5fKMg/eaEFItiBOLoqe4+2CLQyfKdOKMpgRhSidQtFyF6ygc28n5c5X9WzQ/96OL/PSvwAunxom1JNY6b5Ze68EMHYnr6Cx6594UO3+4s5OcpqzROJlXea89DFk1eM2gJbKmkm5mFluqxSzVNcttQS0Q1CNI05ihQsA772ly976AR25J2DjiUWtUuLIwxPRVn6vLkpW6ptbULNZTZlY1gWnzwL6QdnOIb77esufaj1//49/39sKx177QueGW9/75A/zM1GU2bdxS/dzn//N/Kjr6gcuzDjPLgmOXXL7ySsijd61w78Ea2zbmzb4dhyvzCnEqizIFy2KpMcLvfmWIP/5Gl8nxDnfv6/DB+5tIArZONCgVi2iGqbdKtK1siZUi4+D96A1rITxfW9eBOzcZqT7AQeWOQdsCxwbH1nhObrByU/ycXpT8kEopYKjU5PVzIf/k14c4cmmcyarFWEFT8aHoCYq+ouArCv3oneK5CaVCl6ePONQbHkNDa2XyHlh0bvWNU8X4iOKRm9o8/YomiATdSA+AXOLZEs+2sC0Hy/KRUrN/i+Fnf3SRn/4Vwwtnxom1RZxqosTkttcskrux7LsLHUtiWbkJSwqU1bs29D9f/yFkfVm/d72zBzOL5FECSWKIIs1SU3N+WROrmO1bArYR8l0PtLhzb8KmUYXnuLQ6VRaWPVabPpfmXF45pbmyGNHqapZbKVgx99zY5tHbUwqex4nzhitXFVevdh84cmr6Nx58y/f+jdWl6frw2H/bFub/zQAPO3NcvrT002l3+sOX55bYskFR8D1soZia8fidLxZ56kibHRu7FOyAR27R1LoFFlsVfNswXjKUXUG3KOjEBRaWCnxq3vDJb8bYMuY77uqweRRkqilbBq0zO6sUqp9U9oAyGGx6NyTjk2seb6XWHIOWIvNnWAbbzhqLPUfjOSm+l1DwYopeSKnQZbjS4PDZkH/wK6O8fmGC8arNeCGlUjA5uPPo7Ul8N4v+nptQcCMSHdKKXISS2L0I3ufgIvd+yMz9GNsUnW5mF4g8hnog76Z0HJVviSKxLQvb6m1Aa7h+u+Hn/8YCf/8/al44PUGsLcJUEKU6j+ICL9a4tsGxBY6l89VLZqtZvqJl10f0KZ0cyF++dSRf4+VCCIbKFvdt6HCvqrN1rMOjd0UI45DqAknq0GjbLK5amfszN8eND7eohzG1yPCWOwIcy3DdBsF1GwrMLVU4esri/FzKSqvLWGWBlw5f/nBl6PD5KI7/4Z9rBH/h9UtYwxu3PfvEb9+wuniVZuDypRdi9u9scecNBUarHpfmJJcXLb52rkxKzHPHUowWJF3DcFFQEIM+ZEGckp82kXY4fLTIUQlbx2Df5pRyMYs4QvVD9QCqv0VS2Vtu8w4dlSdTlmWwVQZsxzJ996BnpzlvjvG9kKFyh0qxxUunEv63Xx3ltQsTjFUsxvyUimco5eD2vUxO7IHbd1M8J6FcjDh1yfDU4SKOlNgq66wZ3OtG55EwThWJtnjo1pjrdrY5f9lnrADdvLe0G6Z0unkUthSWZaOkyYtGhoPb4Od+bJl/+CuaZ0+M0Y19wlQSJYZC7uF2bTKQW73VS+cURSJV2l/hlBQDABdvALl4w3XPHpKhimL/dpetkyWULDC3mLk6077DU/V9+qnOfv9wRfKD79Rok7Jl1EJrjyuLRQ6fdrk4azg3F3Ld9gb33CSYuuyztDTN+alnbvjgh354mzFnpoXY++0H+KFj85RKQ9uPH3/5/15cWXhfo95kpeWytGLztcWUyXd02L/DxrYchispOzZkXud21yAtQ6GcSXNZFDO5Vzt/zakHZImO6whKvsK2ZAZUizXzfu8C/0ngFgaperJgBgZL5VHbMjiWxrazHk7XSfCcBM+NKHghw5UOtVaHZ47Dz/3hJEfPjTKag7vqG0q+oOiJvlaeKS86i95OBnDfDYnSlG7g4ansIZM9wPQiYa4pZ4mmlXF5KySMDEEsBgCucZwUx7awbYmlFErafYAj4MYdgp/7GzV+4T8nvHB6hLlGmW5RUk0NpcTg2QY3P+0+RTO5XMgAwNcieP/zikHKIvorpezTmcyHPz3vs9p08JxMX+8X49K860pnHn1jskpovWVR9AoIAa8tSxrtrCi0XE+5MJswOhLwzjsgjCxWGymzywnd7uL7FudeTMc33v3/M+byJSG2fnsBPl44Tbng33moduwD5y4e4+BWj+ESbByy6YYejgwZqUakOnuqm+0M3FGUgbhPLczacJqMz+nMk5xXjTNAZ0UXz5W5gZ+8MCHywkR+oekVUEweJXv/Lge3ysGd22JtS+P07bEZuF0nB/dwm6VawM/+foHPvzjGcnuIsYpkzMvB7WW8u5Anlr4rKbgmj+AZ9/bcCIh48nWHWuww4rLOj00uEw4CIIotyq7Fw7d0eOlMRCt2qcSaMMqG9Thh5lV3rAzgljIoaSNkVqDBwL4tkn/7k02+/FLAz/zmBDPLQwRVi6ojKCWaQgJunI1edlQ20MjuJZpS9JPg3qtcl8sMBhTR5+pKZUYrbTIHZydQOLZa6wPVPUlXZEU6ndHNnixgUKRpVufItP+Uejul1tIMlRyee61IJ8pMaAkB01dO8vyhzR+oTEz8vk7al76tETzotPH8wu6p01//27p1GF9VeOaIYfOGgDv2JRzYlhVPHCtlfMhhpeGx2nBody2CUBLFvclRol+syZoRsgqlHpD8ekUZ21qLNrZFP2plQDYDNyHjpD0VQObe50wGy4BtqQzctpXi2CmOneA5Ma4TU/IDLKvD00dSfuMrZb703DiRLjNeFox6GS3JJMCeTq7yU+SRezB6x1hWyPMnq3Qiiw0F038wr03aMk05qwZ6tuKu/QGJzgAexIJuTw2JspEYttWTOFUOxKz6mEFGMFoVfPgtbUruHL/5lYBnTo4wH/t0PEk5MRQtk4HcyvMQZfK8xOQgzwNDnr8MSq1rq6UYoICCWImsnS3StPOkdX2jM6Ra58HM5P+91kEU5d+v3TWstGG5CV0judKCQxdSrt/e4tZ9mh0TkguzI3zpqdN89/sP/u23Pfjga0G3M+V7hf/3AH/+tbN89cmncb3yxtWFiw+evRgxNpztSPbqVMrp6S7lSko3jNi3LeA9d9cZLltsmfRZrhVpBQ5B18pHpEmSRPRN9Ukq8gJCBvLeEtiLxD2QZvTE9LXaNUoyoOHmf6ekzgGuc893Dm6VeTFcO8ZxYjw7olDo4jgd/vBxi3/1u+OcXxrGdj0mS4JhN6XsGoouFPMOe9/Nqp1eXhDK/CtpvhJk9GS5mdKOHBylcKTpJ5g9dBuyqKZNr/FXEiU2vt1lshpQ75QIYpGPW8tyBdtO8wde5XKn6uvXa4lr5nx83/1tbj+wxM/9Xpc/eGyM1aRIx7Up2pKylXlwXAscRb8ZwuoVfeTgSrlG+QbVqUGKktFAnYkAve+Zf9FepXkQ0L0e2TiBMMnmmte7goUmlEpdhka6fN+9bfZtNQSBx0hJoijx2hmfRiehaLVZmjv74Imj6cbV1daUMScQ4k/fEOu/CHCtNbt237j9xJmzv/r84RNsKCuSxKJccNm/OWV2SbEwl1JrFzhzqcqXXojYtanN97+twX0HGmwUPo1WgXbg0I2srIcyVSSJyJsTRE5VxLeoRg5E5l45WQxG8Gsjt0FJjVwXudMc5AmOlVES1wlx7YBLCwm/9uUin312hAsLQ5QLNsMeDLkpJdfkpfceuGUObtkvCnk593ad7MEpF0M+87zF1LSPp0RWMewpKKyhvD/GwfSSMYt92+Ddt7f4ja+O0C5YlOPMi+NGed6gNJYlM/VDMQBye+1mmWxV2Doq+d++v8MNO2b4lS8Nc2G+wmri07EtikpQyIHuSJM9OLnKtBbFzYA2PgjutWLQYLBZa4fLvmcf3HkUT/KxHXGaTUAIYkEjFCx3wLI63Ht9kx94a8DODRa29Iljl3rLY6nmcWXBptHSSKVJUpvGymHGxzf/6sEbb3qnTpv/RarypwJ8dilk46jDF7/+8uaps1O70qhF2XfBWBQ8Q7WkGB9WrDZS6q2MP600FRcuefzT36hycFeD739klfsPNhmu+oShSzdyiOK1Xspei9mgmWfQx70GeDOQYA4AvBfZpembiLJ2tJ7BKMk6d6wE1w1xrJBWGvHLn3D4zS9PMrtSRSuf4Ypi2DFUHE0hj9yFfvle5j6VnJrk2nkf3E5WvQzjiKkZl3bkMuTmKs4Al+0VegaLPUkqiWOLctFix+YI5XZpRSUCR+DHGUd1cnpl5xTF6qkeQv0JyatirNLhr7+vwwcemuc3v9zk1z41wnJQJLA8PEtRsAS+MriJyaK5NOt0cSWuBfHA9Yd179vLLbLP0MuxIDVZchmlEKWSbizoxNBONK4V8ODNNT7ycMT121x0OspyvcBK3WWlmQ3oX20Yas2ETjfzKyXSYmm5xuXzU7uEKW8e23jfJWNaCFH6swG82ZhHmNJYwZefOHn6Rfudt2ZW2JIfsGEkJUkcVpseiysOyw1FraFZbaZM1lPmazYnz47yE0crPHzLEh95uMENO1qUSza2sokTO9soKlH5ABpJmqp+ZOuDnfUuwezCmn40z8Ctc2piUCrNAG6lWCrFsWM8J8KxIxrdiOePSv7w8TKfenaEblrCcRxGHEHV0RQdQ8E1FJw1cHuuxHUlbk5NssJQrkzkAHfsrPJ58arhmVcLRLGNWzRvSDD7q2Kfg2dW1ChW2LbFI7e3+PjX25yZKRJ4gjAWhLbBScCONXakUUrmXFcghVzjvFyjsWtJwbWYqAb8/e/tsH9ryB88XuKVUxWWgiJd5WDbFp4l8CW4ymBLg90HuOnr4/0oznrpcF0BKH9gtYFYZ40RcSKItaFrDGFqcO2Q0UKXO3Y2+fBbOjx0o02jPcT8coWryz7LNdXvzF9tpCzUNKttTWoSJoYNRc/maMdn+8YX7C277vhEEK7cFIXNpT9zBG/GVXn59Jk7Z88/UbltZ8ihkxVOzUGiE952R4tNY7B7o2TLRIHlWpH5FY/Fms3SqkWpEOPZCZdrDo+/tJFvHBlitNziA/c02LOpy8bRgOt3piAtCr7FREFgtCJKLLphNmIs1apv8slAnofAa6O36FlAdQZwlfbpiGXFNNoxzx0X/PZXyzx+uMJqo4T0PUq+omobyo6mYBsKjsF3yKN2Frl9V+I5Cs8ReA65Q0/n4Na4dsa/lRVydgZmG15WWMn57bWFk56/I+uDzECeaEkUWUyUBbu3BBy7nNCJbcJ8xrcTkWn4Ks0pSq9QA/Kazpx1xqhUEqeZP/x7Hgl4+x01vvFai995rMwrp8qstAo0pEPbsXCUwJECV2Yj7Gxh+p9frqMhpr/KpiZrVI50bzyeIUoNWqcUigklK8Ei4Y5dAZtHQ/ZuinjfvSFDBRvXLnB1qcrsUpnpqx5zi4KlespyPWG+ZlhqpdhuxI6tITvGIt56K8RxkakrRZ454tERz1be+y5z58YNO77KnzI86E/n4NGcaynzH09NLRSFKLJ7a8qWMZepK1W++kyZWrfL7u1N3nV3nYNbWmwc82m0CyzXXE5dyr3B3RQxJFnuFpldLvDvPj1CHMZs39jlpt0BJCm7tsY8ckcX20DJFdy4C5S0CfLREKlWb+yxFHqAnmiUTFEyxempGTJmqZXw9KsWX3muxOefqbDYLCI8D7tkU7agYmedPL5NTjvAd0R+ytxymvNuR+D2oncP4FaC4yR4ToQxMU8edpm+6jM6LLCl7idjUrC+UGJ63o7ehC5FENpsmxA8ckuHz74Y0Y5tgljg2QYnyaJ4GPesrmnGwXs6tZDraEp2SrTOGrCzqqmF74Z8z1sC3nr7Cp97tsWXnyvw9NESi40CgXAIHAvLVlhCYEuJJfKOfJG12/UeUm0gMRDr7DOFcYqlIm69rkPVi7BJeOiOLnu2xKSJ4Kbdmh2TgiBwCKIhOoHLasOl0fZYbdicumg4PR2x3NTUgpRiKeL6vR3edVfE/s0e9eYoZ6ddpq5AJ+5SLUs69eliGt/zHxu1pf1A8GcCeG3+BI1mm9mFBrayOTIV8d4HAj641+fY2QJHz/mcuGjzC+ciDu5q8R23tbh1d5NixUWrEvXAQ0mo+hrPNoSJoJtahKlNKyjw9ZdBJykcSfj9JxN0GjNR7vJ9jzT4jtsDrt8R4HsO3dDOmonXATyP4CrFVpn057oxQZhyZhYuzSn+6IkKX32lzGKtCLaHVbYpKEnJNpQsjW8bfBs8OwO3Z2czCTObqRw4Rf73Jge57oPcsbP2tPNzmmMXXbDtLGkbUFDENWXB3rLeU1IyNSUb53z9jpADm9ucni0QeIJCInBjQ6jIpT2dR++emtKT8da4Sl9nz6VIrTNhIE5supGN74d87B1Zo/fXXm3zx18vcGnO4/RsgajukrgWXaWQKvv9kqxJWeSrZ0aDNGmUUFIBd+5u8tbb23z4kZCRYqYKVQoSx/KJk2wrlYszGR2NEisf/pkFrkqpi1YRtVgTq5R7b+3y9tsirt/q0O2OcmyqxNEpwZELEZs2NPnAA12uLlYQss7R4xex7NKfBuE/GeCt+gURx52//fxTvzK6fRJW6w6tlsMTLze598YWWzcBooCtFBfnHU6eHeHMpYjNGyKMhiCQ6G7GZz0BBZ3PuRuYvZFokY8ocAgil642XF6o8HP/eZhPPFPjR961xA+9u0WlZBNGNsbkc7xFRktcN0WphCRJuboCT7xmc27G5+lDPrM1n/NzBXBdVMHGsxRFy1C0dKYi2AbXygbHuzY5iHtnXmjKfSDZzL8BcNsprp1Fb8eK8byIi0tw6lIBW66XB6/lr2uFHvqdMpntVZEkNge2Bewe73D8QkInsSnFgtACJ8nGQqsBgEspEFKui+R9mtIf6iP6yWySqqx0ntqEtkPZj/iBt3W5/4YGs7UGT77scuGKy9cOF5hbcUm7DlqqTFMUg1qnhjimYnX4oXet8rF3Ruza6JCkVYKui04tri5ZRInqU6XsO2aiQpLPrZECKsWI99zX5S23xWAM2yckthri6lKJC7Mexy8Yppc67N7e4b4bBEVniG5osdzUHJs5OfrjP/Sxv33+4uWf37Vjq/lvAvjp44dIdfrhS5ejYicucPuBlO0bXGaXhnn5eMze7SnjZcHYsI3BMFLS1DsOtQUXY7Ilv1o0OHZW+u3PxOtn2Fk1U+cjB9I024kgiAWrgcOZ6TF+9nctkmSOH/3ONuVCSJrKzOPtZLPzLlyRHLugeOJQgeMXXU5e9GmGLmHoguOgyhaukhQUFCyNP6ADu1bPp9GzzWa+cDenJY6jcByZPwBmjXvbaVZZtDOe7zkxRkcsrEpC42JZEkcarFxmE9dwcFgDeZr3O6Y6u/FRYiOwGBuOkKpLO7bpWCJTOuI1w5il9LoKpFwHvnzYEQKj5VokHxiMZKeqP36iEzpMDkVsnYi4dWdIEAX8TxcbHL9k88RLPscuZKCPEwV2zlVSTcWL+OvfWePvfjii4FS5ulztj9SLEpWvTDL/jj2rrUSnIv982SrcjSTlgsWGqsZowcJyNvSp3rJYWBW0gpA9W1L2b/OZnfN45ShcbRgObrfQjUbxmWdf+bBS6uf/myL4p776RU7MddS5UxcFOuGufW02T8Qc3AXNtseFOcULJ11aTXBtyUjVoeinjESZ+T6ztPbMO+KaG7sG9LVolhcD8r1lKh1DYiQzcwX+nz8uc8eBLrfviUlTzcWrij98wqMTKV4/6XLuisdy2yFMnGz2sbJR5Sxp8hUUpMGzyMaZqdx4pLKo7dgiK3oMgtuWODktcR1wHXLVJCuZ25bGsZO8IhrjexGLtZQnXijRaLkMVQRWrsX3TF/f0pmXdyOtdcpkvY2jI4q3393la68EXG4UCWyZ0RQL7MRgxz3NOtfYZZrJhQzOOpH999DGWteNk6YSJ1WkliKxFXFqEcc2luXi2jFFJ+b+62PuPhDx/ge7TM1Ijpx06ESSP3jc5+K8RZrALXtDfvx724yN+lyaLjO3VKbRzoYSJansy4SZ+1CsW1X6Iz1y+XFx1QGyfxPF2VzyIMo85zs3SioVw1dfk1yYSwi6EUIp6pHg1u1tSnJK7NyzW71y+HPJ7bd+538dwC0F1Yr/y5Vi7cbFBY9vvmqx3MrAF6YZJ3OEpOII/GLmi9Za9oc1Jmlvgqnp800G+id7QO/dhMFXbQxhBJOTXdLrl7Flh1/6ZJGzl61MSw0tri7YaGERGxstHLAshGshpcJTAk8aPGXwZB6pVVbud6xc87XWIrfT68vsg1vlPZqiH70dW+M4PYNW2o/ejhOjVMQ3X1N89sUSyrFwpck1ZdYpKN8qgve08F60i1NFt2vznnsCPv98kz94skI78SjmPNzu8fC4V5Qx/W4hIWSfRmRvJQe4/gDAc6qQWFkkty1FYllYSUqc2NhRglIJtpUy7Mfcszfmrr0hRmg+9HCbbpy1rJ29bPHiUYcXjU0S+gRBkW6s+nbazK8vBn5eu/eYa6haf0+htbHNqc5Wp4JnMVbx+a77AxBpPu5ZsNJwqNUVUzPtG/feVPzlJBV//b8qghvTBErl8yc+sTdd7KqiSkjTbNvnlYakG2ZmnUpRMloVlPwU28oidpIKopisITXOrLC9Ub1arzUp9L4w0C8cSAEyd98VfMPBXU1u2V/HH2nwu1/0efL5IktBlsQhLZA2KAshLSwhcPvA1pnUpTIwO2ptRl8GcrHW8GBljQC9xuNBcGcRPrfV2r0Ing6cCa4VY0zE7LJDFHq4FYmTl71V7spbV8XsdfSwVl5fA7kk1YoothkqKbaMRjiiS5C4BInAtzJtuechyWzAOm9W6Ln/ZP+9sveQefFHDwzB1/nsxjVqlCRpVhRLMrArlRAnKVZsY6lsxwhLJWwbj7HthOUw5T/9cZHf+/wQ9lCJm7f7XL9V43tZU4m61m478L3preJ9ipoDO84bNhLdN+dZShB0JZ3AplqyUQq6Eaw2NKvthDhOCA1q7Ch7f+KH3lu+fLXZ3Lqh/KcDfGlxGSVrP3/i9Mxbvn4o4fSM5p4bV3n77dDtFulGNmkqsVTmw3CdFCVNvj+jJIgsWh2LTphtiREnWSl+baaG6H/TzMhj+pNeHcvguYahUsxoVSOMjwoCLlx06BgXXA+UC8pGCoUtBZ4CTxpcpXFyYNu9VzXwauUGLkW+9R59cGdtXdlOEa4jcCz6FtMsgudR3NI4eXXUtmNcN+bKsub3vlYEy8GWYi3B7NOTN3qr10DeK470wKZI0wzkH317wOeeDji5UKKd2hSSbFPazAVo1jpx8j15+u8FawlhL1JqOWDw6p2674WxLIWdpiQqxUpTLGXloM5OpRIslWApi1THeITs3J7Q9Wy0LrLcEFyci6gU8/nk1lq7oBQicz2y/vtrQzbAKM3MWtn2hhBE+XRbnRnAXFtTsFOkynAUxClBHPPInQEPHjScPGdoLV94y6XLMz+fJMmP/xcj+FPf/AJSCufE6SvEJuH+AzbPHq1weaHOg7csUrAtjBHs35IwvyKYWzAMlTUHdqQksU0YubSDAit1n3aQeU96tsnBQ/b9Dr2GhIzjFtyEcjGkWuxQ8EIOnVJ84akSncQHz0dKC0dKfGXwZGb/tK8BtjVoJLIYmIOSgdyx1rrq1wC+Zs11HdNvaXMcPTA4J8HOo7djxUgZMT0vWGp6CMvKiyRvVFAGLQdrjbwDYxn0YCKoiBKbkXLItsmA0/MhQWrRTcFNBXZqsJOchyf0C11rvm21LnT26YGR/Z3X1t5PkKYaK9WkSmBZEitVuRTZA7hGWQpbWaQqQWtJwTe894GIzz/T4flTFZYDF7eeEkQa3zU4Vq/ZRKxzUq6jaQM5V6cLSy1oRJogTummhv07E4ZKmtWa5OKKZO+2FGFgoxvxlptTNg9Xefb1ApPDy0hzmWefe8wx5o31njcA/PLshSxhocX+LQnd0GbbsM2JqWEOnSzTCBI8O+Ktd8HrUxbHLyq2TKS87/6QJIbhUshbbkwYrQqE8IiTLKvv9Zj1u97zmRwy13ZtK6sK+m5MtRQwXG1y9HzEv/itCqcWKuD6WMqhYOWJY+7ztnNQ9RWGgeE+vRERlso2l7KstXkoGbhl9ur0gN5LPnNw97p/LN2nKLaVbfTkODEJMV9+3mdhyceuKJxBD8eggsK3KPSY9fx4sOjTDbMJto/e2+b5o12aiUfHsvATTaR65fT1hqjM9adZ6xzqJZoDw5EMeT1BZ6V1lb2nrUUG8NTkEdvk3vPMqKZSRaoSLCvLtUCwa7zDP/3hVX76V12OnR8jTS1G48zu4PUszsr07bffSi7VJjNhLTUFxol49M4mI8WYODZ854MhWyY0Jy4ojk7ZvP3OGMeyabYKtDvDnLhQJIpTTl4pM1ZtI+en1u3e8S0B/ht/9Ek8z73vhRcP326nHUpjWcwZKgv2bZbUWjbt0KYT+Tz/avZBd49BmsBnH8+83uVijCsS7jkg+3Lamn8k93XnfYVZab3n1c4kt0qpi211OHI+5n//rTJff20E3BK+Y1FUhkKeNDo5qG2Zdfv0gG3J9cDuz0HJZ6FY3wrgvYSzx7utHi0xOd9e7yV37BjHjphvaA6f88FysHJ68obyNuujeE7OMGYtAde9xoBe1TFVxLHNLdeFjFQDGrUCnURRUGAnGc1SqcnO+Fpbq157q94I6cFpVXmTgtYCrXSfslhKZga1nAKlSpMoiUo1lpKklsRK02xyr86+0MM3d/hXPzbPP/tNzaGpEZpdl0pRUrSzAOSqwYKX6Y/RE3J9RLeU4M79go884FIu+CRpttPbpcuCsg33HxQsLSmCKJufs9q0WGkaECkCQ8VPuXEXt99x9x33ffS7fv+5Dds++q0BfnAbOHb6rpkJffM3Xkgo2AmbxzVh5KKky0g169bub06kczXE9Pa6kTiug04Eq82ISjHCye2qUuo8Yutc4sosoFmxJHPjKbvLa2cMj79s8blnRzg8PYz0fYqOoqQMvqVx88SxH61zv3gf2IMDfmQWtXvzUOx8Hkqv+TaL3jnntujz7Z4kmEXsNXDbfXdijCDmS8+6PH+8hHQtHCmy+dt9B+F6K6nok5R+EO8nmmtRPEs0U60IujZ3Hwx49/0tfu1LJaLUpZ1KvDTbUsSSa27FPk2RMo/ig2/1J0Vy0JbM/NqpILU0iVoPdJX/nKrsobNVulaUyj/n/Qc7/PufWuAzzzb52qEhXjtdZlm62aqo8qqw0lkgEmbgc2c/O7ZhpGSwTIEXjlbx3CxgCZEt+b3OoKS3A1yS/dwKYbEj2DEesX2yw7m5yZvDI867dCqe+5YRfG7uCsVi6e1PfOOJ7/fMEvcdVLTaZa7MZzLgaJW8B68nB4q8G8fknFrg2Iain40Y9pwE34spuFG+rGdeEdvKRjPYdkqcpKw2NUEc86lnbI5ccHjhZJFzl0u04yK+b1GyoWTpNblPrUXqXrf82li23p+JnNeLtWhuCWy1HtzZOIVrInfes+nk7W221Ws4SAbOmIiYP36yTGpcVL96OZhgDvQ1sibf9Tl4vhux0T2akhVBMvuwIk0tBDbf83CH3/9ySF3HBKlHkArshH4Ul9IgE5H7cnQuF17LReWANDmoSQtSZdCWIdEiB7MhVSKL3spg5auspTSJla8uVkqSrBWL9m8J+F8+FPL+e+Y5dHKZ1y/4fO6FEikOyw0HYgtpKSxXYilwFbgSfKUp6axQOrOQ0gmg4Gf3Rebe4szOkE82SzRJmgWNUkGyfURiywIvnnLQssX+PdH33373O55aWJj72sTExvUAt60IJbrXFez2roWlgN3bI3ZuhDB0sawutso2cwpjK9/lTK7xa7I3tS1NwUspFyLKxZByoUvBC3GdEMuKsK2YhTp87VkLpOHSguLx50usBg5zqz61wEMLm4KlmCiQJZIDOratBiLAALD7HmYl+slNr9/QGhx2kwPbUmJNSenLgVnHfdaYbPLIvZZgWgPR27UjDp+TTM15GGWjpMSRGksMNAvkMmFfIbxGRemdGbjXGiB6RZ80VcSJza6NMQd2tnnxrE+sHIJE4EmwU4OViMzWKvIunCTn4UgEmvVvKQaiuOhTo57N1bZMngMYknx2oSUNSX+8hMFKNLHSWJYiVtnWMVFi0w1dfDdiz6aQfVtiPtht8ePf2aAWCB57weXygoUWFt98tcjCqkNg2RhpY9uKaiwJU02YaBqBpuBkq26vsaLXMBEl0AmzXSdSDcrKdqWOkphdmyI2D8dcuRrt2t2KrguC5GtviOBhZ5U06VItNBgqd/nssy6lgqGTGuIo5JFbmtx7fYqKHTZP2KRp1qGTplnSIYTBslI8J4vapUKApstiLcHIhM887XPodIV6x+boGR+MTYxNJ7UQQuFbkiEfCnauZVvksthAxM6pyFqZem1qlCV7OnqWufcit+otuzmws+idy4b2Ws9nD9j9amU/cqc4VlbYybqCYgwxn3yywMqKj3CtTJ4UA4nftR6U3kVep4OvDREd9HH3tWmtiGOL0WHJdz/S4vC5MmHq0VEOfppxcUuYfO4iObh7a4XONXEzEM1lf0TyWnKbNQJrK4voKs0ST6UFKtUk/bEb+alkTgk1llKEsc7ntaQEoYNt+ThOjGslbB2L2S5TbtyagOig0bx+pkEzMBw67fKpp4vEuCysFmkELsWOpOJk5jc7n6BgyDbG6sYQaUO5EqF1xEM3tHjgJkMrLJDG2aYFjx0qcuFqyMGlZTpB940U5eOf+hKgsMUyUVRi+4hHKxB0Opp63ef3vlLmFz+VUC62+eCDTd5//yoTo5IwUph8+bVUFuFenxIcu6i4WnP4wjMjrAQeUewQJRZSKVQ+EMeXMGSBIw2O1APadRatBwf29Bpa+zd0YMzBtZ3hWSTPPdNWj1dmEdyx8gFAdm/rwLzCaRnsfile5z+n605LZbnCyWn4xOMlQumgpMqrl+tnslxbwby2Wt/L9/tgG1BTdB7Bk9TCTS2++21dfvurHY5e8ImVTUdKnFRnMqgUyLTX/NEbpilyDtsrE+v8vdbvW2R0j67kA5ZkHh1TUEplD2zSsxwMAF2qHOSmT196o5kt1btWvY6qNLf3ptyyOwsSD96k+ckP1GiGKZ971uVqzea1C0WOnSnQThVSyrXxIrFmtBzx3vtbfNcDERW3QKNVotP1IXZYjSRX6oYhT9NeOcWLz8yQJGY9wBfm5xif2FD4o//8SztmZi5RqnTYtCGh4iuWax5X5h0uL2jmlhUXllz+w2cqfPbFDiU3Ik50X57JLoRkdsFhbsFHWBaWLbGVoOLR7xixe7O65Zrq0Ztj0kse1UDCuJa4iQFZTORTrNZPspL9UQgZ3+5FcFv1Es4BcPfK93avMVlnM0P6LWK9ns4kP2OUHTE1a9GKHFBWTk/MNfbYN85tWaeiDPBhc60WnnfjrBV+LIq2YO+mLkenIlLtEmgHLxXYUmSqTU5V4mRtjEb2drqfZK71BIi1Cmc/6cyiuZICpfMZNDq7rqo3nFOsAT0LKjLrfVWmz9Utq9cuuAb8fiNK3kYo84fAkpqSk/DD74zxnJjLizUuL9SzPtP+ZgFZ8bDoSLZNuNSaE5y/UmZ20eHyAlxeSFhphlSKEZ6vcXyD5Wzf8Tf/5t8sfM/3/vXOhsmJDOBTF68yM19/W2QmfvrlYzaXlofZNN7h1t0dJodTbt1fYNO4y8VZkMT4NcnqQoWZJNuVy+QitwAskfmmt47lABZrJeW1Xr+8JUqtj8hriaJYRz/WxhiINwBnDfTXDtuU/c6X3kxwq0dNcnBnAF4bCmQP0pPB6K3yvk4nYrWl+Q+fLrESeAjXzuiJXKss9j7LIMj/pKPf8qUHTEn9CJ4pKlmDt8Xf+mCLbxwusxI6RNIikBInp2a9ZuF+YzZr3m0hdN9Ga9A5uDUGuV5ZyfOXVBtUOnDNZc9KIdatSn3AD1AYq/fzG1513gKXj23OE+Js+GfWaujYKXs3r+060QN4mnc7Lay6XF0q8NoZhwuzmvlazMhwzP5dMbddFzM+5HFlQbB759hPL1w9/VzUDT7Xj+CnzpzAsR1mZi6ycSzm3hsdBAVWmyUEERvHmhQKTTqxonPSZ8jXVH29FokGbtp6AJq+VDbYgd0DQS9JlAMAXzeEZmBGB70y9LXvlXs9+r8zr54p1ZvBx1pl0xrk3LqfVNqW7oPbttYqeIPR21YxjhPxR0/anDjvg7SRUuL2rLG9mz7wfXsX4k90E3JNwWeg3UznkTxOLZLE5vpdHd53f5Pf/qqHtlwC6eBK0S/6KCmIB+bGXBvJxbpILvoA6ntiNOg8uKR9mmX6w37ecN37Q4DeOGxJ9f9sDfxy4M/6TeN5PSS7VuZb93wO7DbhOQlX613OLkCrpRiu2ljG55uHBVKkTAx1KQ9dxLY1URStUZTdmy0cx8JKLKavQCNssmlMg+cQy4RDUx2eft0l6EqS1DBayoolvS7rwQ80SDJNXrpcB3rW2rjW/Ao9eiHWGl1zH0OvKDDIWfuGrYELLvOt8frdLrlUaOdj3zKAXxO51QDAB4YDrXHuLHrbVja1qtbQfOGbJZYbLni5eiIGuem3pihveDjN4A28RrbrSYZaZhs8pZlaMVRWvPctHT7/fJeVtkukLIJU5vKkyNUbsTYrpr969K7UIF0hi+JG5nNawMj8c6gsL+3PKPxWD+TAbe/fq/4KNgjwgQdArM0iF98CzOsuzTVBU0pwLM1Ipctbbgu444Yuz75u0w49rtQlcaLZMZbiu4K5ZQtVKBDHKgP4xYunqVSGtx8/eugnjp+d59KCw9UVi1eFpt4VGGODdqk3bYaLkq1jUPCyzaPW74GeJQU9K+yaFXLto/aMQP1o3u8O70XywXP9vA0YdCaa/u823xLg6yfK9ge/v4GW6DfQk/Ugz7m3yiqXFy8Jzk57aFyEzNSTHvdWA5F7bYDlwDSUwX0pB4LBWqVxsGS/pqhonSWbGIt92yJ2beiyctrHpE4WxdOMWlgDKk6/csyg0avX6rzmFQedvbeSA0Wg9Z30GYUaKA7l3n3TkxbEGsgHKeWgKNDj7oNBDq5ZwaBP0wZZQc/W4VjQ6igmRmy2jwVsrGji/HO1AxeFQNJlvj7LUPX6n7jllvtev3Dx3CXLkinocNK20rebeJmbdlQp+YogzHZn6EaZFdbbbLLCSG4t7WuVA9LXoDV2bajmGuD793nASnrtBelHgoGOGOj1L+ZDZBKRec4HZqism7bUU14GInf2eg3nHozeKp9+pdL+yIn+acUoFfPlF0tMLfvgrNETe+Amimui97XjIr4VTdGDy3CPMmjZHynRt9FGFjtHIx69u8PLJwugbZI04+J2mg/5TNdTpT5V6eVIwiBykA+uiMbo7Evk/7JHDXso7N3LJNH9CVVm4IauUc4BF+EbaObAIE8G8GIGR7oN9BHk5rzed7DzOfFzyz625eM52ZaR3QjqLUE3gnLBotFusnO/fnuzHU52uukly3MyWazka8aGUozq4vsJQ4WUasFhue7RDjKTvBC9gopeG0mWp5gmjzxJmvnCs2qnJEnXnv7e0jZYwl7bIMqsKSa9PW0k/YRD68zoHsbQDbP/c5r2qErGMOWgAtM7rwF3FsnXCjk9Oas34i2biJViW3Gfe/uFiBfPKD73zSJB14GChSUFtlhPTa5NMAfNZd8S4FzDv6+RDAd18TixqJQs3v9Ql68+3+HQGQdTtAlSF1usle3XvNhrdCD7ICY3Yq2P5Nd+HmWyv+oBzABpqoljTRhrooGurQyAbwxUanAVlmLdyLf1q3E22i1rkll7eHr7MA2u/Gsrc/b7ktTQ7hqWW4ahckDJF3QiRSswNDpZUagTgnV5XlMsJpyZlrx4wmM1slhtwYZKyG37W7z3HosoKtCNstYnRD7VVZperp5lu6kgSkTeMZ3tvhVG2WZFiV4P8LWIu56zKbU28rj3c2+arNbZ72p2ZO49z7764APTi97qTwB3n3P3ps5aA7SkH62zs2fyd5yIOEr56gsFTl4ugG0jpMIR9DeXGkwuhVwfxXvfd52isi55MgOatFiraOZjH/SAXBhFFvu3Jrzj3jZHLvmEiUMqbQKtcFLyZLf3WUQ/OAjWR/JBkL/h2TOs20igF+WTtLdBVjZgXw/8u94mX+s3HRgE+Nrv6r29NhmY4yQfMhqv7aYXJ1mBJ3vITB8vPaekNhBE0NEp73ugxh17YLRoU2u6XF2W7NqQMFrqUlAh1qe++AniRDFZbfIDj3aot7MeubmlKhfnU5rhHLs3uYSRQ6ol9HzdwmQtSYi8SCAxKMLQphW4NNoO7cCiG2ZTq7Re+3Zraspadm0NSEpWDkArH8Um8hkjqZYs1RxWm25/ZVifzQ/4Uwamp9r9EcpmQOcemDo7AGwrpyl2zr1dJ+b4tOBrz/t0AhuKdua7kWt+mF5y9YYq5jWJ2mDaZ/rcTgzkLryx4DNgwIpim1I54h33hnz+6S5HLmTNH6GUBKnIrQK9msEAH08HInlf0u1VOeXaA5g/hFqKLJLnQUNYWafWSkOz1MjbycSasWx97cIMVJTXVrXBfKpHT5I0o8CdLtQDaHQFQQxpLimuqXSm/xl77W1Rotmztc6OccHJqQ3MLsNiPWW1mRCIr9OqP0O7o7GKQiMcQacFxzsaxw6Yugoj1S4lWvz9Xx3i1t1pvwq2pmCYvpMQAw/cEnLr7pQgsnFdjwmnxLIooqSFkwzsirYO3Ll+Kg3KyitzvapYXg1z7ISCm+37XmsbFuoes4sTeXUyK8GrgbG+qlfa77+uB/rg71+jKAPyoNXrXsm6dhKT8KXnfJ45Xsh2rJIqcw72yuSDoOaac/A//gQOPii19nYz6zUjp6Y312QN6GFg8+DBgEfv63Bi2iNJbYy06AoLW4OlMy7ee7j68tvgI9ajK2kWyQVy3QOpDSjyWe0KHFcwXBZcWOww01E0Wg6eUhScrOe11xo4aFfuSZfrHv4+RzF9j0k7NCw0BYlKcEpdVDfh+r0hD93czTCmB+mS6Le8YVJu29vlxRMFwnSRXVsKGNtm80RMs+bz4isKYwTW2FADKQXdbkqtWabedvCthMNTDk+f3EAS20xdIt8w1PSXiP4GrDq7aE+8njBcSgjDmEdu6fKxt4f4rkeSZkad3hPYE/LXNNNeideslXmtBNdOKHgRnhvSDGKePy350qEKZ84VmSzEjA9ZFAsZN/vWUXyNb/f592DkzoG9LnIPgFypGMeOef2S5BNPFgEHpI0Qqt9koXpNGwMa/+CY4TWTrBiI3Wth7Nrunp4vvH+mAq3y0Q95O1uSZjvPfc/DAU+80OWV8w4om1irfhSXopdwmmxoD2b9+wv6dCV7EA1CZ5FeCoPRBlQWNBwLSgXD5EjKTx0MOTbd4KuHHF46VeFizcO3LIquyEZy5H2wdh/s1xbABtSZnKYEoUA6mr/26ApvvSWg27WoFmF8yMpFBJnRNzKrAf0gaRDCZ9t4zIvHYOqyw4aSxWrgsNyxkVJgkFhRmoDOrojvaNqRpFztEFySjLkuE6MG386i4Btko74KIEhSmzSxsUSBsxcrvHrKsGeLQEqDa+m8waEn+udUpGfFtNbUC9fJBlm6dpeVZsyTRxRfeK7EF18eJeoW2DUMxu/50c3aqtB3FJp14O5z7oEksv96jW/Cynl3Fr0TYp3w1CGfY+f8TGuUWXLpCNOnA+sKWet2R7g2eK/91HeJmB7QezRFrKcpA1udaNWbxGsRRTbX7+ry4J1ZFA9SGyMUobCxBqiKSAf4d29njHTQlDUg3eUPpjJmbbMvkSXutpXRyqJT4IP3hrznrgaPvdrgC88VePFUmblaEVs52d5FNv2pBlY+tXat2romqfYEC8+Bg1sl+zeOEAagU8HSquDq0lp+13/wtegHSqU0vpswUu7ge21qnTq+XSaMbBy3i+cEaA3Wa1MVklQyVIjYNNxmcqjLy1OGlWWb/Ruypcm1M325t6z2uqHT3i7DuWSk8q6ZStEiiSWtTkypEK9ZTpVBybTvUegndSqL2EU/xBBxaT5lak7yR09WeOb4EAvLZUaKih3DmuGS7u/104/cfwLA1yhJj4cPFHTUgGJyTXOtUjGOFTN1VfA7Xy0Rxg4UbBAKW7BuAuv6ueUMFLau4SzfIpkbjOCDNCUbNjqoqOQ0xeRcPLEouJIffEeHLz1T5MxsRp3SVNEVCjtdo0xSCEQ6yL+vWUkGPrsUhjQHo84fOHIFLE4kqy0HISuMDVl85OEGj9zc5IWTLT75pM/UbJELV0s0Om42ideSme9bmb6dYdDubKtM2y774Aibo2cKVErZiqGk6XGptUFR+dlLPC2V9c6OVlwmRxW7t8a8ehosoTmwGTaNZ4NLrX/9Dz808fqxc//oa994iYVVRZyCi8ddu12GK5KCl/mmheiNOFgbaL6mWWbZtCWzATqlAgyV07xBN8V3434/43qNOc53N4vARBy9KPj0Uy5Pvlplrl7i4lKJomOzsQojuT3AdzMt3srHCPf94AO22rUtqweTynRd5O6vGoO820py30lMZBI+82SR16f8rN1HWMheW5pYKz9fu/TKAVDLa6N4fwkcHKGwVuwZXBG1kRitM3APVjdzLh51bW7ZHfDBh9v8+z90CLQCYRFrSUeIvibeB7cwiFT009u+Rp4Oekt0tkqofGeG1OQ74QnCWNLpWtjKAwRhpKiWO3zw/g73Hmiz1Gzw9Vc9PvFUiSPnSwTaQzk2tpvlLL2o7sreZLHsAkSJodZMAUGxmU3xVVJm9pm+2pI3PQx0kQmRNasUPIfhyghKxezcYIhjWFoFf/jefzQyse/HrC89eb66srrwzpmlFarlIvu2ukgpKfnZ1hy2lUmCPWdXFEvCOJ97kmQOOGOyi2kpcJy86cHPttQrejG+G+E4MU7uyMv6LyNcP+LCnGH+EnzmmQKPv1xmarZEkPh4js3GClQcTdk1+Y4LgoKTzzCx8y7wvtfkWpVkvQxo9cBtD/DtARtsD+RKZZ7vM7OSj3+jkM9gyU47b0uzclD3k8weyBmgJmIN09c2PFwL7mza7KA3ZG2u4JqastbSplNFKi1MavG9j3T47FM+p65YICOMVoTCyhLvdEC36RHfASPWGic3rGnVBpUYUpm1sGWzbvKtuwOFyp/RVAuiRNF2HarFLpvGuhzYHvGuu5Z44tU6n3umwMySz4XZIpHn0LYtLKXwpKBgQdHSJDqXScm2IS90sm4eS8k1np7r5HHS28k5kxJ7FVdLZfMki35m7923vYnrhoxXl985Vp6qWrVWRJzE+F7KcLXNW26voZTOS7H5Llq5+d4YG4FLs+3S7tqEUcYLdX79MtUj2/mgkEdmP08UXTvGd0MgJtExL52SPHHY5dnjPhemiyx2CnS1h2tbjBWgbBtKjqFgawr5zO6im01/dR2BPbA9dX+zKnVNhdIeLL3nr2q9v9tSCWod/45JZMoXnytyairn3sJGCJnRk7yD5lv2XebUZF2z8Z/qJ8z5N9fYG7RYl2ymA5KhXicbWuy/LuQ993U4/3GPKI1BKDSCAAvZTyNzMKsMzIP6cg/ka2M88tpErlGrxGDFgm4okFLljQh59THNNtGKEpt24FLwQq7bFLJzY8j3fEeNc5drvHDc5bHDBV46UyTterRwaTsWTSvb6jBMIUyyLcw9J83nvqR9gCcpRDG0QkE9gERqjEhJkgSjU4TJ8rusBGsxNh5SNTFJ0kLhYmEcFlYsXjhuqJYdTp6fQKLpJhDE0E4E3Ri63Yg9mwN+6NEm+zZbaF2k2c6GMur/P3n/HWZHetb5w596KtfJp3OrlfNIGs1oPDl4xmGcA8bAkr28Ngss/BZewuJll7DssgsssD+CWQM22AYb5zD2eMaTc9JImpE0CqOcWup8cuV6/3iq6pyWx8YEY9i3rutc3dKMpO4+37rrfu77G1LHV1VIiVcWz2ebUq4mhIcbhTz6ouDIWZWPfq3OxUWbpaaNj0mi6ti6yogOjpZIM/rU+dU2pTFmZkqfeXZLox4ll5z1abBxLjkztL4iPg+i0sK09w7zlknPjW1kQNWJiyp/+oUS7kD1VhU5GuzPmi8nEKUvsbxif5MWfHklJ6PNDq7slwN9EORxLJc/ZhTwk+/s8PlHHU5Mpz0TgkgRdBHL++3080TNyld/EZRpIDNlvnSujRHBYFAsKKh5kJZ0xZIvP1DxfA3TMDENn7Llc91Wnxu2Bfzomxa4uLjAX3/N4dBZiz0vFem5FtOeyYKmUdKlpbWdOv5qov/A8UKFJVfBx2fzyhY/9qYWGyYVOj1p9BkEGp4vLf1QYLSmYBs+dsVAqCW0a7e22Drlsr6u0+jYeL5CuyuYbyS0ugk2CW6c0FYt9h8t83PHe/yH77nI9942S8Eu4Pl6upZNUhN6ObPueQHzrZAwifnre21OXCxw3+4ivmfgCwNUA81QcTSBo8qYOyt76aTWxspyW2MzszRW++aYmb2DFqeGPZJbbOpRKh6OBvrv8LJ5tzwHZK2JqgW0vJi/uKvMhVlTglvRQRHyYPQK/XbWmiyfhWfjN+WbFvDllNnscT2Q0pDPxQeXPwMr/JSINTns8963t/mfH9Fp+hroAcSCEJ2uItK/d+BJkYM7Wzb1wZ/ZewglXra4Egj65p5yxhxHfWvmIFQJdI0gDPECDc830HXZlhbMgC1TAf/tfT38oMsDu5ucmFb5yNfK+LHMrz/XMtBUFUORSRMi/cF2goQg6vEDt8/zs98Vk8R1ZhcdOj0d1xO4nqDRUVhoJLR7MX5Q5Nxihe07bMZGBNrsosPFWZcDZw3Gai6horBiQmfNhEmzK1LfOOi6MXNLMS+eKvK7fzOOqZ7hB++cQ0kMLi0ohHFCN4rZ/7K0vd17wuKe3UXc0KDVNIlj6TOt2gJbCGmOqYKlxqmHhpSPmVnMnS79AS2jb0afJy4YYiBOJMntjfOQ1wGLYy3TU+qXEaiW9d0BmhqgGyF/c7/Fn3+miBel6gihIpQ07WDwcPlKG8uBXy8noHz9iDB5RZAPsOnyw+bA6v7yV6wSxxqmFvLj393h5dMGf/nlQRYcEuSppbI0+yFPP+uPJvvLuz4pKzMSGlizD4ok4iwhL+MeCQIjIggFuqHiBxG6pqfnrmjA4zDizdeHxHHE99+xhB9F3LfbZN8Jg+lFnUMv2wSxjhdpXFpQ0fD4gTfO8R+/T3BpdgX7jxWZXVLouuAH8uDZ6oZomk+9GiEU2LY6YO1oRKmUoJULHnMLAecvqbRaOooCVSdi2/oOqhrT6WUJBAqNtiBWFMTJkAPHBV96LsHWIj7zQIHZJYMg0Tl40mF23kIzVDRdTjpKhf6hTFMSdBGnY6O+sNjM5GM5uJX8o2lI70DLVDF1BcuUlsZ5THWauGDpEYaRVe++C2wuXMj77EwnGOajQUP3WWjA5x9yWPJ1eXJVVFCEdAxQyNuTZf2qMsAkhOXtyjLAf31/cjnI46Q/D+8LIKQCZ/DAmb+SjE6rUtEj3vmaLl98wmahJZa1JVEK8jBRCBKphe1PbPpUZ/l/D1R2BTKpW79jFwPCZdLlkyLJUrF0WjCiiECL0DUVX9NyraZQZb/c7GQKoIiCFvNv7gh5z5t8Ls67HDrdJiZmdknhcw+aOFrEzg0elxoV9p/QeeiFiGYnTANmoduTdOFt6wQrR+T5R1cjwhgWe6C1exampnPdZp+RITf1wg6J6NL1Yu5+xsIPVQxDo2brTA6bfO/rW5yd8/ml3x9mrlfGDWw0dAxNULBgzViSx3iIgdqQJP1He6bHzOwgDC2zMu5bGkszzEFb4wFwG/3EBRkpEvZDoXKAD3qZSCAL0RfBChGhCVnBhR1y90MFnttvEaOm7YkKyGRh/TK1zuXz75xoxfLXNz9hLne46rtcLa/m8WBfnlxGxkoEUayhJSHXb/N487U9/vpuDQpkJ1aIIxKh4SUaQSLwhIITgx0rRAN5lhnxa9kBNBEkxMtI7JkzVmYzkVXxMFIIdYUgEoSaKl0J1P7eQ2Ray4FtrtxAy//HNkOu3exj6T6K8Hj7TW1afsCvf6jOlx+pcuMVCetX+ZSKbQqWRxRG3P20gRfonFkwOd/UcIyIuiW4eqdCrQRaswvNTsK5GTh4VkdFoImIVk+n2YOXz+roqkqloLFqVOfWK2HrSpPj0wZdr0QUVRgrK5TTiYeVjepSsk3f+zkd1KdVLp9Xq/3YblNXcnPMzBAzB3nac+eV24yx9Fh+zMNYB6JFUos1PZ9ty0OkqkQoaiQ/ihhVidD0iBNndT56t8OldurWqQhQVBRFycUEyzxPLm9Tst57sGIPLKO+roi/0qInn4cPVPDL3K/kQVTI9Ia0oicp43CsGPGjb+nw5H6DE5cAPU4JVQEkKsTSn8RVdQKh4sYKfgyFGCJt8MZKBnr1uM8Byc8HLDsTSF6JyPOGjFAQ6RF6lDqJpT4rIp3ghJlddKRAoqBkHKT0/ZM0DY9auYultVBVnQOnKqwbEdx8ZcKqcYdaSaAbPuvGFBpdhUZH5OzThUWFsqNQKYA205aHhyvWgqoKbCPk8Fmdsy/ZCEXhhk1K6gUuGB9O2LauTdvr8OgLBQKKTFWhZkcUzAQ79dXWVZHGb5O69ktfZy+jWaYAl9U7HfXllVtgaAJdzyp31qYkfYBnIVB6jGVGWHqEaYZ5pJ/0DpQqHENLP+oBmhGiiDgV4vYPV66v8MFPFXj8eWtAZSHy9kRTJPlIUQbJVd+IPbi8L/9mW8xsgjJoFJ8zCy8zA8rW1ct0lInIf53E8tB3yy6PH/++Nr/2ARXPE7LFSMi/HxQVdJ1IkwY8QazhJYJSEku5XDIgUmGgR0/ivrwtSYhjlSQRfZfaWHpTRjGEunTKMqKIUBfygC9kPx8nCl6g4roqbiC/N6GkckJdtpmWGeLYBn6gU6/AbVd63P98hxdPFogihfHhIvVyiUoxYbgSU3MCjp3xOXRGwzANQt9nw0afeslFWzMc0usEnJzxmW0qFO2A+QZMDJmM1zVqZYVKMWak5jM53KZem+ere+DZI0OMOCrj5ZiiRRp3Lacdhp5aNqQ6v043YqEZ5kT2zF7NGLQzzmyMM5AbmaUxyw6S/Ri/GMsIc3BbRoipS3qrBLSPbblomo/rhRw8rvL5R20aXXnzRVHC2smQ972tx1MHDT73iI3nC5mYlc37UpaiyvK2RLwCkJd/rvQnKd+sQxlsTQY+xjmAB0wzL2tR+r9Oe+KUtmzZMd/1apeHnjF55qDOe9/WY91EmCcmNDoqn3/M5qWzNq5rEQiLyDAIYlVKwDKeEVLQlqTqGvkxTmkaIvdT6c/mB438+xn1UZKZCykpBUCh56rMLWm0einVOiVpyfdXxbE0HFfD8yUB6poNDe64apGvPafgnrBYuZgwXIFyUaVaUpkY1hmu+qzHw7EF5y/CfFPHnDXRNq/qsrDQ4/DhhJn5EkklYawqGK3DaM2nXvaolHqYRpunDkXc9WmbF16uUFJ1hocSKgUo2iINTZUHQSsf4ckv+vxcwrGL8mmZ2Rr3ExYUWaVTG2NdE+mhMrMzlqA2jES2JHnPnc3bU3AbAabhYxkelulhmD1mWyF3PWry2YeqHD1vsdDUUyeuCOIQnYDnXzC54Rofy0j6qBsglyqXVetXdAnIFyQDv7dM+LBcmX55W5K3BmnVTlL6Q7ws3+brwd0/pA5kiCbg+bB5dci/fVeXt97QQ08UkliDRBBGAT/4epdjF5b4zEM2dz1a4kKzSE+3CWODIFYoJ4OtiOSlDJLr4jhOK33/FaUtU6RnLl19U6HsvCoM6RJWLfkcOGEwPaule4xsSqZgmTImvmAJep6KF2gMlTV+8XsavP6aS9z1dIFnD5Yx5nSGnZh6KeT8jMpo3aHqJIyUIxbmu5yZTWgECtpnHqmgxR4rhlU2r2mkj4uYOIkoOh6a1eOv7jM4esHh5TM2SWAwXoShYiKtch1BwVJxLBXHEthWgmMlOGZMwY4Yq7sIo82xB21WlA0qtuzPZRBUBm41r9jymyWPELEGE87SSUkWoW0Z0jTGNAMsQy6VHMtloeXz8JMqf3rXMC8eK9ELLGJVR1FVUCGJQwh6JAmMjHZ439s7jFQj/tOfCM7Oaaluqz/gy8HMK4N8uV9I/88tX9t/fS3vC46zLebyKcrgsmd5Nc/m5kp+HlSUBFVLOH1J47c/XOILj1psmAoxUIgjC883iSJpZFZ1Ym7YErBrQ48feF2P//OlDvfvrTDTKNEwbMJEyD45jvvOVxnJLv+YWk0MgDxO1GXnB0lvjVGQT3MDcKyA0aFZPv5QiUMnqoxXExxLwbYUbFOVL0vQtVS6nkrPU+m5KvWywdXrOly5tsPhczMcuwCfebjIjGfhN+FiQ1qFRIqBLkzed1vMprUBWiSg0xWcv2hyek5hpt2hYoccv2ASK1VMfYjYVzCEYKoIZRuKtkLBFhRsNX0pOBYUrBjHjijYISU7oF5xsc0Gh59M8OMicZKS6DVyX25LV/MxoGFks28JbtlnJ8uqtpn2aKYu/cQt08+BXbB7HDwd8/N/VObJlyr4cQEME8OR5vSmKkHVizU6scKq4Q5vv61L0Yn5oTu77D2i8yefKXQ7eQAAbxxJREFUMvCiBNRk2TQkk+kNTk8yGdVysCt92doyz4yB/nvZeG5w5j1YKQfIVwMHusurdZKBW43xYvj0fQ5/c08RYsFdjzq86bqAiZpFq1PED7XUtiNGT0ej12xy+bNfaPHkS11+7o88Dp6s0jYL+KacuMgpywDQMz/DOJF5P9n5IFfey8lO9j2BQAi5ZY7jbOMNm9Y0eGCfQ9PTGSnGlCxwrBjHCrFNlY6l4vQE7a5KqytYaunMLlmUC2XWDPtsGPe5Y0eEaTRRhc/JiwklO2Jusc6RkyaO6ROELtqWSZ3mksqB2YSOpxF0awhdZcdU1tklud9fNpO2LdmSOJagYCUU7JiCFVGwIxw7oFzwGal2iJIWf/5lhb++d5SypWPpcR4EJaciWdDq4GaSFMxJmmrWTzeT05KsLfElYcv0KDo9Wj2Xpw8LfucTdR59sUpiOhiWQVEjN2Q30oOvGyrMCYVXXxNwy1aB23LQ9YAffkOPvUdNHn3RJEpZUJdX8GVtybJKruTSLFVZLrTtCx6+cf8dxdIuLckBkyyv4Nm7MVDFGejzYxKefEHnY/cWQbdA13nggM3Xnk9467UWjVaZIEzt1tLll6Eb+KGBZbjcvL3LH/z7BX77EwH7jvnMdcosWgZRohCm8Se5+j1J0pz67IaM08+zCMmEJFHz3WjmNGYE0p3Y8xx+9M55vHCaD35xnMWOyWg5oWrHFExFAt2MsHuyM2h1BI6lpi2wganbuVJL9j9p+1psYxkRMTDfLKJZVbRrdkw1ps+17+0sqm+3TRgqQ60U4QUarY6K6yuEkXxTMjtiy5BhUY4VyqpthRSsgKLjU6/0MPQ2c02Xj9xn8VdfHcHQCgwXYhyTdBupYJoi7ddFSqDK8iiTHNwS0GmycN5ry37bMjxsy6NS7NJwPf7fzzh84ItDtLwymmNS1FXKekxRSzkO6ZZUmm8KbhpV+JHXOTQ7AlUNsEKXHZu7fP8buuw9WGQpU42TtiZ8fZuiiH7vPfhSln0+YJeg8PUzb0VqIDMDzEEzzCiW2sjBfrzvG6LkxwWhxvSimE/cW+bFw0UoO6i6hakIPnq3hRYKJoesnAwnf4ZSXBIEGkGoEUYaN2/v8clfW+KDX3L5/Y9HzLXLLDkWQdxvWaJEHhyzQ2Tepw/emPl/U9NZt0jlbypGT2OxVUDXI378TYuY4hx/de8Qp5aK2E2NkWJCxU4omDGOKWfjfYqGJNip6aY2jGTkZKsHbqBSL1eolgMWWyqT3cq9Y/rKhrpubaVz6dLMia4r3td2QyIlZKkTUHR6XL0poFQQFB0oF6FaTKiVImrlkFo5pF7xqZddhipdJobb1CtLTC+0+ewTCn/0xSr3PDeKo1usKMdUHSjZStrOyDvTMtW09wLbTLDNeOBjjG1G6StMv1HJSLRNj4LTwzK7PPVSxP/+TJG/uXeUhl/BtC0qhkLdSCgbMUUTClZC0ZL/frWoMlbXuGKNyWjFIEHkpCnpERPx8D6T2aYFqo6uCuzUtD1zv82t4DIf8sz7MPNDHLBOkCaVfYOjfOLCK/Tvg4dUZcAZapmFcd/YMiOKGbrPyemYP/tymQvNEqrlUDFUVhQTqoZGEjsIoeepDFkMSbbyz6YxYaTimApXbvCZGO7R6oWcvShwY41QEf2ePz878I1fg6cYRRk4k0hwRpGKJjSu2eSza1ODSrHHhSU4OafT6Kky4j1I8H1w/YSeF0lVfzei0YmYb0Scn4s4eiFidKjD5JiPYYSYaohjOzQaiz9y8sTho9qaiRa2lfDyGY3dhwyKjkLBjtG1Bc7ML7FjjUG7W8LzZbqaKuI8paHo+BScHgWry9HzEQ88ovOFx2vsP1tGRBajRRguxJTthJItKDoKjq3mjxvbUrANCe5sI2kYA5Xb6M+2TT1IWxKfot3DtLrc/ZTKr/x5nYOnqih2AcfRqOhQ1mIcQ1ZuywDbkGNMx1IoOhrVkoamKiy1dWzLlI9rLcRzda7a7LF+dcChc4l08VP6OtLL1/ODSqJB+7LlKQ/LFeXZ4TJGjuKVGKKsxYkTRDpPVnP/7oGlymXjQxIl1yceO63ywmELLB1T1ajoMWUzplJQCMOQuYaRkrOU1DipH+0dDVrFxXJo8N63drhpxzy/8uchdz8Z0Y2KBLaBHwvCOElffVOgzM8km4VnrUqcqCRyi8Cgq1aULodqJZ2r1rXZua7L22+8yOeesPja8yVOnC1iGAYlU1CxE0qGTPlQFbn57QbQ8CO2rm9Tq2qMFB0KNjgm7D4Jp+flIlALYw3XTzANwTVbQq5Y3eKls/DcYZOH92r84Bs6vPrKBl6gkSRg6iHlgo8X+LRdn3uf13jikMWhMwUOnywQ+iYjBYW6HVOypEihYAkKluiD2xI4ppJW6wTLjAeWN3L8Z+RjwCCdb/uYhk/B7jG94PMnX7C5+5kKR85VUB2HgiGoGFDUY5yUemmnPHLbUOSZwVYpOBoFW2DqMgFBvtkqYawRxVp68k/L1EClFV9XWZc7N2XnFJF5LGaKI3UA4Mpl1W0gaSTr9YUCkUjjYcRyFmGezHDZmLAvXBDSs0VIqZiWHqr9MKHbi9FUGTYQLzsYZqzFwX9DVvbNU13+x/ua3Halxx9+oc7Z+QoNw8KLVCpxQiGWZj1hLMl22cY6jtJwq7y1StPdYkV+jPoELS9QafcMSgWHLSu6/MJ3u7z5VQscPbfIYwctnnypyKW2xVnPpOAoWJr8+zqhwqt3tvmxOyOWWoLdh7u8dLrAlskEL4mwdVXSQeZaEgjn5mHvEZVT00WiSGGionPdppiNK7rUyvPEsYKuJ1xYTLjneY0nD9nsPljj/JJNq2tQ0FRqJlSrCY4R5SIFJx//CGxLS0eJ4BgJlhVjG3EK8GzdHuaHSSOt2oYRYBkujtXl4mLI+z9Y4a7Ha7iihGablHSFciqQsAfAbRkpjzw7GFsqjimwDBlXIkSSL0iyCQWxknMuyByzyDjTfdLYMh3oMuncgJxOFcuSiHM/wjghoh8lkiTZjSSFB2H694axTFvom3JmvJSsRcgmKkrKQ5db6VyQkVbLIEhw/Rjdi1O1jIKCetlhd3DenhkOCdaM9/ip7+4xNX6JX/hAyPR8ma7hECQ6biwoR2k1jyDS6QM9Jk1VTvIKH8dq7n8eRAp+KAMUep5Gp6fTaFmUCj6bVnhsX+Pxhms9ZhsdnnlJ8NQhk92HClyYtyXzLYk5ec7ggafKrByFDRMxa8ZguOxz/GKCWJQ22NpDh9YSxhplc4nX7JpmoqqhqSG9wEXV2vzpl21Mc5TXXjXN04csHn+pyvmZEmGoYwqVogGj1QTbiKWi2pDz7UycYBkCKz8BKzgm2Fac99lW2pJYRjiwbg8kp0T308OkSyRc/vwrBh+7r8q+Y1V8vYChG5R1qf4p6PLftw3JJ7dMBVsf4JGnN5llgmnIsdWgc5Z8twdHenL2sTxzZ9Axte/DkrvZZl4tat++OWtl+uLZbNIg25NYQJIKuhUFQiGlZmEaMhWrysAobmA+PrDhzJ/7+bOA3LsqSg12/CDG9eL0a8qeKmpfi/wKW9MkUYgSucB72w09Vo/O8Ndf6/KRr9TphYW8mpfihEIU40dgRRCkoVFhlMhWaBnQVcJQEARKKpJQ6HkqXVPDMnRaXRPLsLHMCMfymaj6fM+rXb7rFo8Lcx2eOqTw7BGdW7c5mLrOV54JOD1v4nkaqlAZqcA7XmPw3asK9NwY7Vd/4o3oZonZ6T0snHuB+Y7B8ZMaT73kQDjMRE3nqvVd2r0Gn3h4BN8rM1aAcjHBMeKUsqrk4z9jGX9EnnzllhOswQOkEWGbMaYpFzbZlMTQs42kj2W6mKbHniMxn37Y4SN315l3iyiGja1rlLWEUtqSWLo03s8qd18sITDNAcJWFjiVqupFCnIlDVKVjbFIqyG5z8hyb49Bb/PUqiyNTcnAbWiZhZkEbhxDkECYZIJtqYNUxcDIL5vMKGlejpCPfjVS0GMhN4hpvywJV/11fRxH+Qkvpn9DhXGS2qHF+EGE54v865Ztk8i3tzk/JtuOZn1/JN/Dq9a7bPixFmsnfD79cJndh8t0dAc3NOjqKkVNAj2IINAk0IMoJgjTvj9NSvNDVYI7UOj5AttL+njRYwzdSKc9FpYRYVsBRdtn7USXqZElXjhpcuDYONduUnnfG11i2jx5SOXQecHBsxFvMd/K0KqdNJpttPEhhUpJ4eJ5hY/dW6bTq1I0NK5ZA5MjCRPDAdVKhw/eXUEJimwZjanYCY6Zin9TPomm9aP69DwWWwoTLCPBstIqn05HrJQ/YhlyOmLo0oM720jG+Cx0Al7Yp/Hf/3qI51+qEJk2qmXiaAplLavaCbaW8hgygYSOBLeZzth1FTPjtaSZPJqW2cXJzM7sFcQQJoJEERLISipPE32gqwOfZ1lAWpYHlC6wdMlpkgJlQc7DibwYz4+I49TPW0jGHYlshLI5ehSl4oRIIc4S0AYTkZPBKYiQh38RE2YpxilrT1ZRKQ7ITP3lDSlyy+nM2arf0V+WyBbLvjyMNSzd5Wfe7XLz9nl+62889h0psNQp0AlserpBJxQUQyjoMU4IdoQUDacfrVC2TIEZSwG7r9LTMyE5aRJe5uOe7UJMHCtkqWWxalzw2qt9PvQll0uzNuNDBSaHi1wxEXDdBo8LCy10UzC9aOF5AVoUKQSRfERVHYNrNwk2THVZ7MTYdsCFhR6ffFxn/8tVdqxQqBeh6Mj5tZEKf5eZzueZ8H0eiZX22bYplzVWNvYzfEwjwLE8CraPrrkEsc8zRxUe36vz/NESjx8o0+g5KI6JoamUNORsO51vW+m/Y+pSuynBnTIRU9KWrA7kUYHGgMOV5CnLl2lE7Dmscvy0QZLqMLUsfiUDtyLNcLLvtZ8llKW5ZdRf+XVlIujMzHJmIaLZDlORtgR334lY9C2gIwU1StBUJaehSplaJn7o20lEkcqG1T47t7g8dSQmNCCI+xYf0ulXAswP4vz9kospgcy6X+4226fypq1Klh0UqgSRxtUbPP7ql1s8ebDD80cNHt9b5KkjZRodm5ZqUDAFJQOKYUJBT7DDBF+XnoJeKJmlmbNxhqMsCS9zkpU/H1XiyNQpOQadns6udUsob1/iif1dzs85tHoJT79ksmGFzWg9QCiymMUhaFGsEcXOJdtU7lu7qvj6dq/NzFKPu5+VKWlhUCUJdLavUKiVVMoFFceWj3s9dXLNBasiy96Rb2pfkBBhmVHalkjuiG36FGyXUtEljj3Oz0Y8tE/jzKzNJx8oceaSQxxbKLaO7mhYqkJBSyhk2Zla0ge2Rtp+kPJZJMelzykfzKHP1PZJqjRJga5EaGbEyxdULl0ySBQ5jchFxnnIq9IH+8BNrakiZUb2wW2ZSX6IrpZ85hyfRw9oNJYE1YI8J5hxWjPzWbggFApqBFqkpB40yrIKnr8ikUedTIzFbFrh8dT+iNBJ8GOFMLezTnLX1iCM0YJsTq+myyiZkCwptQMtfdqbL0ti1qWCKAh1TD3gzus8Xn+tx7nXe3zywQ6nZw0e2VPi5IxDp23jOBolS6EcxBQMsIMEOwDPiPGCTFMb5WeXQS9xBfKno2kICrbGYktlsWWweaLD2rEeYdxhfini7qcTDNMDtUwQiPsqJetSEnXRxiY388zjHzttW8YfT4xNvH7/wZeZ1wpUDIPE0Sha0t2qUlTTpY8c7ckvqv/DiCIl93RW1SxzMkqrd7akkcAuOS6lQpeFls+j++HASZ2HnqvwwL4iQWyhqDqqrWJoAkNRsNQEO9NuDqSjZQYyZq6uT3t/PeW2DCjvzbx6J8usJAaj71wv4th5C1/RUITo+24P6DDzAFr1lUCenUXkk8s2JYWh6ASsGGmj6E2m21XmF4oIJU6ZdmmmZap/VIVCoEqAh5E00/y69iTuz6+zFAgtVlm/IsAwfcLIxos0/EhJ++AU3KocGapq3M8yEiI9cApQsnzNrIYvp/BmZqCZR2IQ6PQ8E10LGa8G/Pz3BsRJi4df6HL/cyYvnbTZc7LExYUCTUenYglKRkwxSLD9BM8g7bnT2Mj0zJulG0sFmLwZdU1ahhRslYsFlXMzFerlEkU7ptGJqJUidNWjVp+k1fb++P4H7z39nh/4PpnR88R+WdUuXIAwFIzXYyqOwkJDR9MUytkGs+RSL/uYRoimpgT2WKHR1ml1dTxfsslUNSWvG5IQZZuSFFWwXSrFLl3P48vPqHz20RK7D5e41HLo9Qw5bVH7kRzS8quv39TFQPRfCu7cOuIyFZCupdxyLbOVuCyyRBu0joswjIBeN+ahZy06oYFmi9TkJ1neogiWtWSaOpjDKTecRkoTtswY2wopOvKmtjpdgrBA01Voucuza1QhQRdG0oskM92JIoijJE23UJYBO3uFoYptqdxxrccffM5j0Y3wdZUgq94hBJoEuhZmsStxnkjX57NnCclZu5LN2wfm5OmCKAhVNFVHVSOEiOn0su1qyC3bA67ZELDUWeK5Iy0+/6jDfXsrXFwq0rR1KqagpMcUwrTNHAB4kkjLtUZPsNCVtttCSa3atIShUsBQUaFSVCg5KpomWGjJBOQNk7BxRZfVq5aWh1Bds3Mbuu4wOZTQnnmJmZZKr5swWoVV4y4jtQ6lQpvzcz53PauhqunEIZFV7Q3XxlS1IZptmyQBPQW3bUjzn4LtUi50CGOXr+5W+eJjVR7aV2W66WAKHceAWlUuJ/qmOiljj34g7GBQrJFJ3FJwm6kSKAd3emiR4O9n0ef+KAPehGrqjfjgXo0zMxYIHU3IgNplwE7bk8G4whzompKCO/NkyZZWfZ8YVQ1Q4gg3TOgGClYwYBSqSuOkUFXQ8p47tcn7ugo+8Irkij2KNFaP+tyyvctdT5XxTR03UrBjMLLDZghB+u+pYQpyRUFJ6QTLPRUzDiXLKnmSZXlm3u3pk0fJXYNjmm3JIRkqebz1Op+btnV49MUuX3jM5v69NS41JNBroXQuc1LxuJ7GEi92IVQ7vO32Vj8VQhHoasLj+yyeO+VQtTRGyzGrRgTDQyEd1+XAGY3rb9zE5ModtDu9PsC3rl/JyOjo/R/Y/cBvXzhf/I9dL2airrF6Yole1OalCx6ffaRMt1fg7LRGlCi4ofymLS3hhaMB12012LlOwTBCHDPAsT0KKRnKC7o8dgA+cFedvccrLDYKGJrKVHlAx5m2Akp2ih8Y7QqlHxKbgTvTcfYrd5Y/fzm4kxzc2eFS1/uOtpnpj2r4PPKizUzTBE3FFEoujFbF4Ap+ANjLqjhp0Gwipyd5anKErkvrBKHEKEkk3ZzSRIww9dwLQkVOdsKEUM1myBmQSQ+aKdij5fk9WZ7mUEnh1Tt63PWoTxBbuPFAm5KCWw2VfthAWsVl+6UuVychudz5ej0/cEZEiYIaiXyHkM3lMxGxKmKaWoyh2VhGSMHxeOv1Ljdf4XLg5Hn+z5eLPH20xkyrSNdWqZkJpTimQIKhKdx2pct1O3yu2gCGHkkRRyi1qLds9Wn2XL7wmEq7a3FqzqFY1JmoG6yasPF7rd8u1bfd3/YW+gAfHRvj937vv3fjRD21csxhtDrNU0ddvvB0wvOHi1hqDVNVqTiCV61VaPZiZhuSyF52wFELiETDC3yKTkTBlsAuF1o8tDfkbx8u8PDzQ8z7RRxdZbyUUDTidAoi2w2ZzyPJPNkmLIxyOz2pbM9T09JJjZ5Zt6XiVk0dsHTrh77KFLX0pS3PwFQ1OWc9fhb2vmzixzpCzeK5B3Mf+/Eo6sDsWwiRxh8uN97X1YE2KFXxK4rsucM4wU8PkEEovfb0KEmrdrYQgTgiNZ5koGJnffBAL55GDdqWxs6NAetX9Tg+U8DTVAnwMCFQJdC1FOwynFekEyQldehS8jn/Mp/zgQlLvvVUM2u/VE0fynYpISWuZcxFPaTTM7FNi4LjccuOHq+6osVDezt86uEK9z03gh+ZJIlAV2NKNsRRkW67wunzAaWCjwLMLBo0Oxq2GVMvBvzEW1xMs8uzRwLa7YTHDhTYttZgeGb21P/5k//e/cmf/s99gAO8/s63YtsWjzz2GA/tXmChbdN1Na6YUKgUFGplleFqwnDN5949IZeWFFYNKwxXNMaHdWrFBFOXJKxyoYvtNLjruYRf+/NRzszVKNgGK4oJZXOQCJXaQ2iyAop06eEHCV1PxltEcVYVUqnbYOXWFNmWaP3KrefWE6T585lv4WAWZh94uhpimAGHzgpOn7FAMTDUfkRJFjmuXlbJ+9W7H9+hCtL5ejzwkpVSTilkmYuRlTiIZRZNTlTKQpiihCiOJfsvdSMIsyqegjzMwZ324ZFKFGusW9njiqkex88F+JZsU6xYwYglsDWVdEKTEERZFn3aqqSz/6xFkfPxtAVJRMpIzyp6jKLIr6XnaXRdFc+XI08hZFGRopVsNGzQdU0c26Rom7zzxg7XbVng1zWfu54ZY1ZxMFSFopWw1Ew4fl7Q821Gazorx5pcWmpx/7MVRioqQxWdetmhWqoyWQnoWSG3bvfZsX0tV+68Fc/rAZcB3CpUcRyHdlTgbMPgNVdqqIqOUKBeDqmWO1hml5MzHrMNB8ewGapojA3pjA/BUDWgUvIYqbaYXmzzt583+OSjI8w0y4yWFapmTNFMJLjNvh2bkarns2URKHR6Ed58mK+0Bzkfsk1Jq7aaVWtZubX0UCmXLEkf2Fo/zUFXB62UI0w9IPBDnt5vMd2yQNcwFGXAuD3795W8PRGXfd7P5EzPC4JlbYCa5a8rEuBJkhAm5O1HmB0iU5ZelCplZDVX8vZEft5vU6I4A3oWUqUzUvK4fqfLPXtdgtDE1bR+FRcKepgQCVnR1TBBzSzaBCghiJTP0hdxZAdPOcIUIk6N8lPDTiGfPPMNlVY3jXNXlRTcUkQsAa7iWhqur+F6Oq5nMlRs85vv7XLllvN87IFRpmcq0o/SiDD0AKEYgMZQxWBkqIOwFtl3ysbSdOoFlVpJIBQNTYvYtanJ+LDCyHAd3+/kT5wc4AVLp1Iwjhedwgmhl9Z5YYerN4TomkusdJltBnz+KZ2nDpQYsk02rNCYGNaZGIaxus/4UIfJ4SVmGk3+28cd7np8lHLBZlU5oWrFFIxE8lBy9b1IN40S4HLzqGAbCV4QMt3wWejqFEzSTPN0upKKLjRVoOmpy2w+NUnbEr0PckPvpzvoWiyzgAY8wQ0jYL4V8+JRE9c1Ucsqpirbkwyk2uU9uDoAeDX7dVbl0+VRytsW6SIpSzzLDhdhZqUWD3wczBjNK7mS01LDfESY5AfMKJ1qhJHADzSKRZWrNnmMll3ONwq4kYYXKViRkq/ttQjUEIKc1psggiRd+CgphVsZUDPJZZBQ+98zkNOmm50eL58t4npa6t+e2eyJdBegYFsqPS+i56m4Xgr0QKNeMvi5dzVYOzHNr30k4fRCJWVGhind1kATDutWJPz89yzx+EGPh/YZXFg0mG4YWEKwbZ1PrVbBMEonosQ+HsXh1wN8xeQkf/jRu+/TNfvjQ7Xqfz5zqcfODT3u39ti/ymDdrtAo2mzeUQwMaIyPqQyXo8ZG/JYOdZmqLLEpUaH//rxIl95dpSRqsloIaZsJhQsKSyVFFk1Jz9ZKdidlDZbdCKqpYDR+gKLoceek6PoQo4Dsxm0Nuiloon01e+5DX0ghz5dOBlpJdfUy7MwQ0zTZ/cejRdOy4BXXQhMEafOXCw/ZF624BFf17YMRLSIPpkr8/rLPblTN6kM3DkJKzV6jwfUMlE80IvnN0G2WexPUqJYUn59V2fHqoBrN/U4/4RPYBq4sYodKxhRgp724mqUoIaD/ubZ1xohFPWyPlwWGDUUaEIGQymK3HOUix2eP+Hz8AGdiVJCtQCOJdL3VpMfLYHtS3ap68n1vBeoBIFK4Gt4gcYbdzWIwkv8t7+OOb5Qoe2pKW/Fw/cN2r0iK0ZtbtzU4YqpDou9FgdOqzy1p8p4LaJWG2fFhPHxzvw9902u+96vBzjAjpUWhml/VWuJt12cU3Z+9rGQ3S9VqFgFVo4Idq2BSkkwVIHRus/4UI/JkQYXFzrc92jCPc8N89RLNabKKsOFiHLKB3csIWmqlmT0ORmz0Eqk/s6OKVqSZz421MGyF7m4aOMGgpi434OnZCYt9VEZBHg2NckPlKkRft4LDwA78wU3tIAgjNh7zOb8ggWGhpm6yC7vu5X+el7019w5RTbP+ZQRehmwB1+Kkq0G0w72spyjvmg3yZl3fUuGvvlP5hMZZTPxSCWMo3RUqOKFOmM1wZXrXb78jEcY2rhqethMWxVNpOPHrHqHpNV7YBau9MUaYuD71NT+yFJRwDIiRus+8+2Inqsw6ceU7CiVMsZYpsD1VVxTxTUFriXTIjw/e6mpG63Oa69qUrLmuXt3h6deqrLvXIGVHYVGx6fREswsaJw8X2KsXmTlmMvbrm0wVlziwkyF/cerLwytGPlqr+cuoxwsA/gdd7yGn/mP/+VJRVGe73XYudgs8KZrddaMx5i6/EarJZ+RapeC08YNOnzqUYW7nilx7HyRyLVYXUmo2RFFGylySMFtW2rKxwYnV1DLNIiiE1KyfWrlLsO1Je7eHfLlp8uYA4kKaj6GGwS2TATQBw+VWj/pK1/oDAJ9ILbENAOOX4An9tqQmNKTRSRy/p21HQOTk4wem7cmr6TiSftSkeZ7KmKApUi/gidkHO8BsA+CfmCaEuVty2XTlGVA709TQOPWq302PdzjpfMFPF3DixXMSNp1ZBE0eYuSz7Hjy4JsVWnon3PepSwvzFqnUMEPdd56fZOnD8zz5acNokRjJIhx/RjXT7CtGM+Pcc0Y11LTgGAZEuz6ivw8UHEDlZ6nc82GDtvXdDl6YYavPGPx4J4yB6dtzs6rjFWkQkkIBUPXWTMxzKaVHQomjAzPPn/yyBef/K5/87++McABtm5cRYLACJssNnpUCi6j9S71ispEPSGIezz/csyXnjI5N1/jwoxF6BsM2VCrxDhmvx0pZKDOVDwZsM04VeKHFGwpfSsXutQqTR7c6/MbHxul5zmsKqVrXE1J25L+hjKzncg4JvrXreL7icbLpxrp5lILiaKQrz5l8PiLRdB1tLQ90Qbbk8sWPSKt5iKv6v3MzyxJbrm1W3xZ9ZZXPEhrTS0jsrZluaFOKkAeHBlG/X48jPvyszBSCUMV19e56UqPN97c4fjnSnihiauq2Bm404/SbzE7LGbz74xJni1Y1Fw4LdIK7gcKQSB7/lbHZLjm8J9+qEEnUHhw9xhupDMcxJQCKPgxrpXg+BLonplWbT+t7L5MxZb+JzrNjkm5UGTjRI+feqvH225Y5PzCIl96ssDeIwWCwGR8KGGkEsCcwkI7wrTKrF2/iShKLofz1wP8XW95Laqq+U88Os1je5roWpHNUwa7ti5y9GKLj3ytxMETRdyuSdEUTJXAMbJNIVh61n9l4BY4tmxHCqZsRzJgy5ecmZeKLR7YG/IfPzzK+bkaK0oKBSNOGYKpnbKmSPery+mvejKwqUyzepYBO+NfZE6nsoL7YcSZiza+ZyIsFVOAoXLZgkdZtrmUZCulv9UccLXKgb6MY05uKt8XF5DmPvbBPWisk7tCZRYNcTKwvSRvEcJ4sHqnGstYJQh0SiXB6rEAW/fxghAvVvFjhSBO0NMDqxqlN2QkQb7cai4FeVbJlf7ESFUFRqDi+jFdV6fZLjBRC/mtH1vk/VHMA8+N0fFNRgIoB5J74vnIryMQMvM+kH24/LVKzxd0XRXL0FhsmZhaAduMqNk+Uxtctq/ssf9Umw/fVyIOS2xdYbB5KkEIj6V4BZu2vcUPo+jvBvjQ0BCaXv4lYezYetOOxVeb+hJRHPLZxyO+/MwEFcNioqIwNCZ1lppKnquoCtB1KfG3Ut2l9E2JcKyYgh3KlyWBXXRcik6HmaUeX3pG4398cpLZpQqTJUHdjnNDT2l2v3ziYhqkryTfVuppfEkW/qppcQrsAdZgNv/WQl44ofDpxwpg6ahCLne0dGN6eXuiipQmuwz0y4E92KYoWZuSWyynY0JFVsgk+UY9eD98KbNhyFuU/DXYh2c0WhlOFYaS7ed2Dd51q8snHujx9KECQWzgxgI7YxnGCVo6X8+SkQcyrHPVfF7I04OnvLlFOmFSUVUdVdgIJWG0rPC7P97i9+oBD7xQ5+J8mYanUrcTyn4iSVaefMp7WUX3VVxPxfUEXUNg6CknJR0Ra5pDwY4ZqvhcvbbNh39ujnue7fDM4XEuvRAyMTzCO9+84ZEVUxO/tLTU/bsBrhsV/vrz97RIzKNn5pVblEhRXa/MkdM6Vd1g52qN8SGN4apCqSDTHxaagp4n30gJ8P4BsmgvB3ZGPCo6XYTo8rcPKvz1A1UOnaiTGDaTRajZ0umokObyZGocw0j53cagj0qck6nyyp1xvQemGf2ZtOSeQMj5OZXFtgmaTFDLtpfa5ROUgQOmnAWLAUbhALAvO1zmdj3K1z86s/YkoyT0rYsHfEaSgcNmoqQTldSTOyJf+IRRLLeJsSJX95FGEOpUCx5Twx6K4hPHtvQ3SS4fR0J4WY5PbiEnTcNzA59sEZSxECXAsxvZJkGhXFD5nz/e5uDJ83z8oQZ/c98IZzybqiWo+QklM8ELYrxA2kJ4QYzvy4qeeVIqigylWmqGBCEUHcFw1WZi2OSqTTFbp7r02godV7BiIoimxv2jpw9/rrVu63f/3QAn/YGrSeunrt1auPblU62r2r0eIta5bbvFljWC1RMeti1/cIdPKfhhHcvU0TWwTHDMhIIVU3AiirZk0xVtn0qxR6nQIabHwTMxX3zS4dP3DzHbLlIrqtRMOVbMIwOtLJcnjS4x1TSMCuzc/SqR/O40RjAHsjrQLmSKHUV+1LWIhW7MJ+4t4rkGSlFyv7Og0j54+9K0wUVPvvzJuOKDvbdIlh/U8mf+IMiXexEOOstGeTXvZ1XmB858Jq68wmEz7cFztp9GoSD4wTt7PLHXZ7oXEWhaehOk/07uENv/mvqm9lncSUrrzS/Rd9AVav79ZS5cYahS8A12rO3w/vEO68Zc7nqizAunKiy6NlVLZciJqVix9D3JXmGMbapyG62rmLpHJBq8NG2hJgLHkP70jfYwW9fOo+o9GosGvemh/Tvnuj81MWK/EpRfGeA//K43Mnv6A5HvDycPP3eRpabNW29U2TDlkogeXd/lpWMJB0/YtFsqo5WEFSOk8+6EohNTckJKjqzYtVKXeqWDH3XZfybmnmcdPvNYlXMzJUqWxspaQilV4jtmgpOp4c10ApO61kr7B3KDICu1dTP0KDdY7wsHBloEkoHphmxTAi+h7emgZIfLbLkzuLThslHggC1EVrXVQY+UQe/CJG9L8jn4Moj3DeVzfkfmCpVV67wnlzPywaobXdaihAOTFMnXVoljnYIZoIoQkpAwMQi/zqpZvkhbpGy6okaKFK3EidR/0u9vFUXkiyAydX4K8CCSekvX1ynaNu99c5c3X7/E5x/vcO9zBV48XaE57zBUVBkOErwwJgjjdJub4Fiy3x8f0tiyTuWqLT0Onw45Oa1zctbg5CWLl8/VuHpjD3UyYcYfS77weBD9zvt/+FsHOIBWeiuh635ycmxuU5zMF+xSg4Vejwf3GJw4X8ISFkMlnY2TglpJ9k6OnVByYiqFgHLRo1pyGa22SZQWe0/GfP6JAvfvrXBmukhR11hdSyjqMXZaiW2dNKZEbjoHLZkdU5F2E1aSLoak65VpRBia3BhKopboK83zN4R0O5fklfyllzWOnpGzbz2fnvSTki8nV/W3lsrAWLC/2Bk8WGY3k/J18+/+IzLJW4FX8AdfZvjTr+BhpKClo0K51s90l/20s+ygGUUanqexYaXH1o0eF/bIzWCUCOn7PbB3gkHVv/w9kXo5hnrmMqtc9m30c4CSRM3PBX4g8H058uv2TJodm0rR4yff1uUt17d4cF+bu54osfd0lWbPZrwsCMOYKE7ynj8BTl0QNNt1Vo0FvP4qH+P6Li9Pd3l4j0vLFzQ6gtrwOr7vLe9A0wx+5/0/9vcDeK2+Knnwwc/+4ZXb1v+U2ztVePJFi07XpNe1uWqVyqZVCRPDHooa4vkas4sFLCOh5IRUSx71SofRWoPnjnp85TmLh/ZVOTVdpGRqrK0llMwoZxJmo8Aso8fM/KLNAXu3dMQoJzERjhWldm4hlh4iVBlD3XN1XF8jjiWqpWo9JeGmIa6KiDg1rXLuoomoqOgZUzFd2GjpOEwVUimvDsy9l7Uo6sBBMxcmLwf31zknZ2FPSWYyrxBzmf92bsg5YCSftitRPjJU+pTaHNjL1T6erzE1DusmfB5JWYxxlo2p9ElsQmRJHAptXxDEkgtvaQl2Hp8Ng+PDnFKbDRbT1LXMzMfQNFl8dINmx8KxHKoFjx95XYdXX9ni4Rc73P1shadeqhPEKjEyoCpjYZ5fiHjpXIR+SGWi7rB5lcPaFT7vuLFH2w05fj5m0/ZNDccp/bFhWMk3wvE3BDjA+OROfK/BugvP4nkRDa3I1h0Jk6Nd5to9ziz67DtiMlLSGK9LV9iS4zNc7TA1tsCDLwb8xl8Oc+RClbKus3E4pmRG0gzTUNJU276/n6TC9nN5LKPfczumnKpk9sxFO8CxfQqWR7nYwzFdwlhw8twY800LBXnjaGrcF/Uily89N+HwOYNEV1GFirGsPaHPLxkQF2u5iiddOuU02qyCZ/13vyXJhQCQE62yGrXcXVbJA6CWLX3yKUosD5dqeihMX1mLEkYKUagQhYK+ACL1IfQ1tqwMMKyAIO5XboH82iUzU/50Gt2Ek3MeQSIwdZ2arVCN4jwffhDk+Y2riH7/HcuobalwStA1DS1Vd5lGRKNlUbBthqs9fvi1bW7eNs+vfSTggb0jxLGOrsrWs64LXrUlZqjeZu/LEe2ewYP7CkydMdiyWme+3aHtFtm4fn0j7J3/RL2y4Rti+JsCXLcnvLnF1k9043WfVsWRwprJiG0bFtlzwuPLTxQoGTZVx4REw9QSClbIULVHs9vkf/yt4HNPTbI4V2JtRaFeiCjZpDk+aSZ57t+X9s2qgib6+TyWKVPVsp7bsfrgLhU8uRwqt3jkhZC7dxexdYsVJYtq0aBUiCkg1UXy8dr38ZtrJnzhMVsudxQFKxsPpiDPSV0DvG9ViNT7ZJBhmAx4pvT9C/tGkxkH5esLTCIJp32zyviVe+O+399lB80oExSnr1R8HA6Qr6JIcj3efovLH3wuoLMYywQ5ktRsVIK7YAuKlmDz2oTvHZnHsjrcs9vmgb3DeJFOHGdFoj/Xz1iFss0RebhUoKr5WSSX46lS7G0bOrZl0OyYVEsWk7U2v/Vv23zxigt8/olRLjUtipY8dBLpaEmV113tYttdvvzUIgeOFrBMA9uCm3dNdWol5SdGxka9b4bhbwrwkrEYj29f+1y1SPPjp48XgqTDh76q0GxUuWLSYsuahFbPo9sTFB2ROs0u8eF7E/73Z8cZLtisH4qpFRNKtuSkWJZc0mQK6r41sJSDSE51avWgk4p3JbidfPMpwT1cbfDI/oDf+MgYZ2ZqrBtW2L5KY/1KkfqNyLYlTn385GEzJkEeMBWhog/QAbRUUNGv0gyY+QzYRKiD1X5wNDh4wMwqHHxdDz7wW8nga3AmnptYpu2IiFMrCSVV22cyNIVQS73+IiVtVTJ+uOSIF0wQRDJIKp0IZuQ1Q1coWApDVZ2Nq2DHhhKrxn1u3raIEoV8bd8YCYZspvIzRtxf8ae+0gnyYBxkv85vWCXfgMonskbR0Wh3dTo9g9G6wX/4rgV6wRwf/vI41bZGvRTj+h6HT7u02kW2rHF43VVdXrWpw8HjPpWiyXXX3d60S+ueuzTTjr8Zhr8pwMfGRkHR5wqm/+4bX7Xj4bvu36ObSpk3XAfjwx26QZev7bVYN2JRKQWMDjV58bTHV58bY6Jos3oopl5SqBRUio5Mg7AtCdxMkR+ECl4gRQ5RnGZo5vYLA9YTZoRthRQsn1LBpVJs8sRBn1/7yzGOTw+xugbDRQm8IJDC1WwZkh06s0PmpUWVONEQQsvbE32wcg94nWQWbLksLV/2DKQeX5b8oKSgVkj4u67cTSq3TUuWAT2jzsZqRqGN5TInW7tn1hBpiyKz49Uc5GGkQqIwXg85My/N4SWxUepNc26PLggjmG84mEbEqpGE3/i3TcIPKTzy0hiqoi/fKagpuSxTBKV3dJi6ePlBhB/EhKFsxzRVPrltS6Fga7QKKl1XLnniWOXNuxo8e2iJU2frjJRlst/2FR6fejjiwb0WEzWbqzdpTA73GFpxbTDX5N0bN5XmdNP5pj/fbwpwRRgcOXoSy15/fmQ8OPGqLYc3Ty8sceQiPP1ywvnpImtGbXasgzUTS7x0rstvf2KUxfkim8ZjhiuCaklPLScUSnZ/q2kaEXGs0O5qzDVUmh0FP+hHDGqa5JdI8yBp9eaYcgNaK7U5cMrnlz84xNHzQ0zVFeqFmKIlD6qZi2sc9+3IssNfQsSff8mm1TYRjsDKD5hJDuBMIZ8xFzWtb+ijqUn63wZFDctHkpluF/imII/T3f1gBU/y2bTSJ1sJ6YIrRIyaf5Q3XpB+zYEmpCdgJFLAp+PCUKNSVvl3b+/wwv+K5NNBfmF5i5E9ZPxAod1VWWpZGFqJDZMBv/Pv5vl3f6ix99gopqqmOtZ0sZZK86IwIVJjRCwXQX4Q0+qELDRjOq5MJDb0dHFnCQqOSqmj0unqEuS+xuoJwa//4CL/428bnLxYoXZCpVQY4n1vaXB6boFmE05dUgmY5M43bj2xfevK80vzZ6gNr/6HA1y+QypHDz962nEq7xse2/zoiy8/xXNHHYqWyc3bVK5cH7JiosHZhSa//6k6raUiWyZhpKpRr2jUSiqVUkK1GFItytQ2TfMIkwhQmFsssNQu5ww3VRV9DaZGfkCxzFAq9B0XN+hy19MmL5weYqquUrMiiqa0bdPT+PDBapod/ISIUPSQGAsFHV0oaZR40gd2VsnVzGlJAilT82fJzFpawTTRf1wPhsL2K7TyjX+0l08PYZmvYLaaD6P0Bk1prULN7CDkjRiGaTUPs9ZFDCx+VJJYRSQxhGEeP5JxYDLBcBQn+IEkPXV6Oi3TYr5RYvOUzztvWOL4OYdFt4ylSkZixrMPU2pvkkgtp6amfPUoYb4TMNNKZXqRiqkKhgoR1UJEq6DS6Wl0XJWeb+IFVdavEPzC9zT4vU8pHDxXpNU12bGuxs07DYqrOjyyV2fVui0Evv++hx578vT111z1d8L37wT45o2r6Hbb2HZh+sV9+mMHj758647QY/vqhGq1i2Y3ufvZiGcO1ek1C2xfCWN1naGqylAFauWQoYrHaK1HudBmetHj4RcEh86YlBwNQwTU7S6zizqqIg3yTV1ND0FyZGTm4aA+ttnhs48o/PmXR6kWTGqpFC5TB8lk3ayPXr6m19SIxTbMtQxQ9ZRctbz/zvnmqjIgrMgEFclyvnnq5dGfnsAr4fmVEnrkQfQVDp+XrevDaPBGlQFSaqAQpCNLLZSgCkJpGJS1KEEK7jDSCEOdWtGjUvaZD6TWs0/NlXP2MErwQ3A9Qc9V6fYM2obNQrPMe98yz8vTs3ziQYuGb2DrEWYgzU7DlBAmlLRK2/JnHUQht63somgx5WKPI2cETx1wOHjRpmppjJUjhsoR7a68obo9g55XZf2Uxv/zziZPHWmw57DNsYs6i22bjSsTUAusXbv1sWtedcO06/WwrW/ennxrFRxwnCL3PPTsMcuq/WFtdMetrdaThCg89VLMpfkiF+cMKrZgx2rB6JDOWF1htBYxVJFStpLTZr7T45OPazz6QoGjp4tosc7kkM61WyKcwhLHpkuMlTQ0TZqkK0rmkBVjGFFq9dZjse3xV/fVcf0iK2pyrW+n+k4z90vM1u5JTrZSVTk333tAsPeQA7qKqZKv6LMKnWk+ZVuS8c5TC4qctdg3EFJzf5DL+mkGbYhhedRaP9Yjq/z5bzOwto8yjkhC/jcoEuQiTM8IgTwfBKFCoKWihigDuqziXqBz9dYeW9f3ePTFCN9SCQaTiVO7Yz9IcH2knbGnYrk6rY7NRMHhPa/v8ODuJrOdIUqGwAkjgmi5A5WpQ70cM1Jrc/BCSCUqcO1GhRWjgtft6PDaqxZ4+EWNB/aUOTzjUGmorKhFNNsx7a5G19XoumVWjpq8+ZoeO9fEXFr0OHY2Znou5I2v3cWWNdYfXjj95LEVa27+VqD7rQEcYOPaVaDWnls7OveFJ51z79x/+CwGFmNFnZ2rA+YWBWPDBqvHY1aNdxmttxmuNTl9KeCrT6g88HyZQ6dKlHSddXWFVaMqq8Y1brnS59RSyKWmTGeohPKRJpT0MZiGJlmmj210+fSjOruP1qgUVcpmJI30M4Dn/ih9RY8+YM0WxQGPHzBodi10S2Bn9g55e6Lk4ue+oGIA3Glep5F5Gw5sMNPCvCxjftBnO2/F0zK/PH6wvyTK8Bwn8gA5GC1IPgGRkwy5dFJTz8EU5KHIX2Eoe3A/1CgXVG7Z0ePxAz5uZEg7t2hA/BDG+EGCFwhcX6YRdw0dyzBYbBS4eoPHm29Y5K/uKdLyLUqGgh/KRVOSpEQ7LaFoRwzXOix0BEePF+h2dVZNOKwed9k43mLnmgav3zXL1543eeSFArtP24yUdCaWApqdiJ5v4Pk2Mw2DyXpMGHrYZki5vhFX3f6F+tjW53rtxrcK228d4OvXjJMkB0/Dlf9h34EDaiLm3jZUDtmwssPBE4JKyWLbuoC1Kxa5uNThI/cL5js2Jy+VOX7WQgQGa+swXoWRmoxfXrsiYmy4xYFLXv9NTDGgZXpKXfqHO5bLQtvnbx4aQdVsamYizRyN1MTSyOK/L7dqk+DW9YAwCvjqsyVcYVLTpJNW3z8lVQzl4FYuS1uOU4KXbJkyYhc5mOUKXcmcX9P1dj+VeKBNUWS+gpqCtU/aSqt5ekgO05h5EcmnTBZ/opAp4WUV9wP59S4DeSTblCCU/PAk0nnjdS7/69MefljAjYRU2oeyl/eDGD+Ic6VNzxdYnkrX07Fci6Jf4N/c3uLLT7VY7BlUA4Vi+ufDKE00VpScvlC1uxxYKnDyQkKU6Hi+RbOjMTZks3VFk02THe7c1eDUpQ6LbcHDewu8cLpA2wXH1NEMlwdfVNg4CbWyRblSvWvt5l3/4Zn9F87ccOW6f3qAy/dlGy8dfOrM1i03Hgh6zbe9dOxlDp1W6bkFbrrSRzcX+OiDIS++XKbTNvEDlY4nE8/GhxOGKoLhis5oXWVyJGHtZAfdaHD3U2XUREk3j1nPG6fgDrENn6Ld5bOPGxw6XpMmjnok0xyMLGJOTW2SM354nDtZGVqIY/o8dkDl7KyDInRslVTaNvjq+5vrqTtWHmuYhmTZZohpSvsJIRLCNIYjjARxSq1TRYKWhztl4B7sw5XcXF/LPV/S6Uxq8BpE4IVyBJg9zbLDXN6mZBpVkbYn2gDAg6ySSxlbEBpMDXncsq3NA/vKdC0dP5JV2E+BKgEucD2Bawh6hmxTuoZBq2OzfW2Pt1y/xF/dU6JpWZT99M+m48AwBD8QkOi85YYmX3ve4/glFU0NiGOdINJxU2HDaM1iw7jPRFXDCxOu3ejywokuD+0ts+9YkRt3aGxb22N+0ccqbeHaXdcfmDuz78xNN9zw94Hs3w/gAPXaFKOjU7997vThdZrW/L6i5XLt1g5e1OIvvmpyfrrM+jGDWzYJFC3ggedjCjqM1QTDNYPhqsr4UMSq8R7V8iIfvV/w8pkCU6V0y2mINIcz9RO3AkoFl4tLAX9xzxiRMKmZqQVF3nsryxIcrLTKGqm/hqEH6LbHwy+YNNqOvCkyB9x0gtI/TF4uh0urtynzQB0rwLGC1IA0oucZdNwCXVdDCJlUIJ2dZGpZnKRpDPmmPuXI5DRblvktGpoEdOwlLLUEbV/BVMHRYxxDDhUz+Zg8OMtZvR4q6KG0gzPSSu4HKn6YqtcDnUpB4zVXdrjvGZ9eqNMLoRCCH0i/btOP8Iy0RfHkYqZnxFieTqdn4lgO73lDk7ufa7LQNqiZCiWfNO4vxvVVuq6g3bXYPGXww29Y4G/vN3DmVFB8otggCFXCSFIpbDvmvmdtNMVm8+qQO65ssm6yzSfui3h4n8PmFRZTk8OsXbfuk9dcefVvn7tw/u8L19xG9Fu+xidXct8DX2rE+tofu2KN8bjQPHYfcfnI3XWiTokbN9vcsUvl1l1tfJooSsxIVWWsbjA2pDIxHDEx7LFmosHR8x0+90gVE516QU5QJIMwwTHTqELbQ9c7fPYxi1PTFaqmQil1x7LSQNksKTkz2+8nJIcYekjB9jh/UarnfUwKGljZwTJLqBhYeBhpckVWvWUyhUxxLjkelVKX0aFFppcW+ch9AYfPGCw0NdpdqUzxAzXfKEZpDAiJkHQB+SiUSxZBThGQcj+ZSFctaWycUvmBN80zNLrEqUbMpY6g6Sp0XQXXzyRgsupm/bMfQBCkVTxKK3ig4ocabqCTJDpXbgxYNdGSuZOhwAsVvDBJxQeZ0ibJQd7zVHn48wzaPZvVYybfe9sSSuyx5Ao6aY6l68f0vIR2T7DYNIijIt9zm8+G1Q2OzShcWoiZWfC5OB8yPSeYWTSJYwFGi4f3uzz8vOCZ/XUcdYQfvVPnmi0dVL3D9GL58ZtftfLHnnz2nsaq1VPffoADvOEN70C3nG511Tv9ly/W8P0Stpmwelzjhh0x2zbM8/TRNg8+ZzFW1lk9brByQrByNGR8yGPlWIuFdoO/vK9Iu+swUUkoFxSKjkrRQQqS7ZCC7VMvd7h3d8Iff3qYODGpWqk7lqEMOGSJ9GOq8jEz6+b0cGr2eHCvzotHy2iqjqMPVu/Lx4EiNw/KqreV3mzZFrVeaXBsusv7/7LGl58s89LxmNlFuSTp+Sp+2h6EqUnm8h5cVnDxChXcMhSKtmC4qrNtvcE7bhD8zr+dY+vKGWY7IfM9WdG7Prh+nIsFgiBOe2l52PRDZaBFEQSBdL3yA5OrN8Lrd7UIfZ9OAN0g3ST74PkJnh9JFbyf0PMUuq6g52r0XFnFk8TmZ97t8Ybr51loxzQ9hY4LnV5EpxvS6sBSW+figkNRL/Ce1zeoVNucmhPMLMZMz/qcvRRw8oJgdqHIG6+Ba7Yvsv9sl6cORJy8IGT0CDY3XWkFP/dj1x+MQ797y81v+odANWWr/wOu3/2d/8XIUG3r5qn2NafPntFNHe7YFRLQ5ItPxuw7UmZF1Wb7Op2t60JWT/SoVzxqJY/R+iKffgI+9eAIU2WdySEYqugMVTSGKglDlYB62WVsqI2iNPjjLxTYe3KYkYJgyEko21LGVLBUCrZGwVEp2AlFO6aYsw2lbXO13GG+5fLfPlrm4Pk6FUejaiQUzSwgNkthy1RDqRmRJS0PcoJXKrUbqrY4eLrHz39wlONnh1k/LBOUzdxhq282ZOiZu2yEY3vMNkK+8kSBC0slHEullHLgszxPxxQyqLaoUi9LZuWGqZAbtizx4smIkzOOvAG/oZxO6RPCBjkzapweimNqpZBa2eX+502WOrZ8WuUjVfoEMyEG4hD7GlUhoFoIUehy7x4Lz7dwjGxZlnmli3w1v21Nj/mGyxOHCggEbpCw2Ino9RKCUMdQbbaviVg50eH4pYTDZ0xKjoKfaHjGjYfOz/pv37qunPyvP/jwPwin/6AKDjAyVGJkKP6VK3bc9r/XrFrnblrZw7AW+dKTBnNzQ1wxKbkD125zEfoCzx5pMz0fU3R8Ts4EPLi3TN3SmajG1Eoq1ZJGtQiVYkilKDPvS06D+/YJHt8/TEnXqFmJFCKnMraML25lUeBWFv8dyEQJy8Mye9z1tMYLJ8tohkEhTYbI2pPBBU9exdNJzGAFtwwZbx4lHX77UxX2H6szVpScacgskF85biTjmQz24ILlinzp+9IP80qQ+euLTYcda03e/32L2FqbJVeh4yu4ad+cyb6CcHkVzw6bftqmBIGK7+v0PItta+CdNy0Shi5NHzq+Qi8AN2s3vBjXi+h5/SredWWWZbtj0nUL3LxN8KZdC3Q8j9m2oNlVaHZimu2QpVbCfEPj0oJNu1Pl9qtCpsbbNF2FsSHBru0dfNHmuSM+e44IDp+sM1aq89abQrpRlxdPJIwMr3Pf8ZY33PWmO9+UjK/81mbe/6QAB1CUWnzs6OO/PjI29Dun5qf85w5abBg1ePMNPVaOC3Zt7pJo83zyYbjnyTJnp4tAxDOHdU6eK7OyBkMVlVpZp15WqFdC6mWf4WqXWrnBPc9F/NePjTLfKTBcTCilFnCZnC2rtraR4GTZ9laIbQVYpkel2ONSI+D+54osdouUDIGtZTEoyWUmnjItQM88xbWsl08nOaZPtdTliYOw71iVoqVS0BN0TRKN+vTWy5OJM4VRJisi2/PkCcpqalksBmK/k1i2GT3PoNV1uHKdwq3bF2h3fZq+oOfL1iILl5Kyr0GQMwBy2Yf7oUbXNSjaBq+71mVVtUmrE9H0BV1f0POhl/bTrh/R82J6HnRdha4n6LganZ7BYtOhaBV4/w92eMMNM8x1Ii41BUudhMVWyEIzZL6hMLtocGG2yIYJmxu29FCUkNUjKm+7VuPdr+kSiRb7jvmcvZjw1WdUzp53uHlzwHfdUfWHRuq/8/Cjj/36ipFC/I/B6D+4RcmuK659R7TYrT1TdQKfqHN7s+sqSayyY71PpC7xsftsmktlbr7CZOcmn/MLTT7ytRJK4LBuTGG0rjM6pDJWjxiteYwNdRipLvHAXpdf/egw52brrCgr1LPWxFYo2iqOrVG0NYpOQslJpDuWk7YStke11AW1zYe/avCJB0dBFKiZCWWTtIen378PeCXKoNoEx45x7DD1cPGolbuEcZvf/dsK+44PMVwQ1JyEok2a3qxiGyK1uEjj78wIU5epzQXHY7YR8JUnC1xYKlKwZIyHpSepQ8DA15KaVmauAboeMVwJsK0e9++x6IU2tqbkE6BcgZSxH9O0CS1vU/rsPzU1FZ0a9ei6PvuOmnRiS45MRZKfC5blgAqRGyBlIVEJCpPDEddtaXFmLuaF07IF0XJKrZKa6qtUirBmvMOpWYXZOYMoLLBuXFo9HzwdMt/QWTcZYek9IsrxxvWTv37njeXfrTpL3h//n7v+Ufj8RwP8q1/6HL/76z8Qbt88tqCI4k+8fPyCSAScW3J5ar9Bp1Hi6g0GV20KWTU5w1/er3L4WJWtkzA+bDA+rDE+FDFed1kx2mJseIGHXnD51Y8OcW62zmRFMOzEA+BOM+dtlaKjULQTSk6UgjudchR7mEaLv/4a/M4nRlnyKlQdQcVIZI59DqiBNOZcsZ+k7lwRBTuiYPsUbI/haot7dsd86O5RothmpJBQthKKliKdu7Ik5eygm7Y2hh5hGpLDPgjwoiUopPk0ZqZFzW0xRAruJE0hk/P3iWGXExcSXjhZwDJTF9yMWrAsL0ikrc5lIBeyH1eAkp2wa0uXVi/khWM2Xiy5OZc76cpxpEjtMpRc5oYitZ/j9ZhrNjc5dSnixRM2YayiK3GqaBIoikqSaGyairDsFvc9bxB6KnFksnLEYP2UR7HQkYl9QmX95hviyLjiZ4+c0S/cfvv3/WPh+fefg7/SVa2vQDVXvLzrSu2nSnbnTx96Yp84M2NgC5udO3VWT4ZsXj3D1/ZFHDo+whWTghUjGhPDGpPDEStGu0wMN4mSJT73eMTvfGacSwslVlUFdSemZCUULSHbk6xamiIFYpyKIWQabtHpUSm2OTPr86lHhplrVimVVUpptqZsTZb33n3Od5YgkfFNonTM6LPU8fnSUw7TTYfJkoKpxvmKPwODMrB6z4hUl7MLs0t27ulePskUPklOtIpSVmAQCnxfo9MzGanpvPWmDve/2KPl6VR0pR+ymsdnx5Iym6ULR1mrohIEMb6v46oxzY7NaD3ke17d4f7dCxy5NIKhGdKBV/T9ZeTyK0ZT1fRnpebpzdJEVGGkqvKbP9Lk9wshD+8f5vicQxDFJPiALnn3Wo0dqxJu3dnk4ecFSWKw2NLYuKrCcKXHhTmFoRXXxvXRDT914zVbXj5xZvqfApr/NACfWrWLJHnShzs+NDd7wqlWx/5gfnGe9VM+UawwObLEwwcCPvvAMGtqOivHJLinxkJWj3cZqS3SCxv82keKPHugjiJM1tUSKlZMwUR6HVpp351NOix5sJQuppkVnEul2GG22eM3PlLluaPDFEs6NUOmImfm+JlaZ5neUlVSekCWBCFpAoYWUip4PLo/4dn9RQylP2bMQ3DVvtOVMhA5KJTLlPVK0hcdc5kec0CDGcd9+mu2jfR8jSg2uXGbyw0bWty3t0jXViiGSr4uD6Is2ydV3Ed90UcYpf14oKIKHaHEzC0lXLWhxa+9Z4Ff/qDGueYQplAlhVjLnMIUDC3qx8SoQgq30SRfJpQeLOWCyW/+aIsnXrrAr/7VMKeXSgRRQpIEKYHMIAiH+N7blgjCFi8eKTM1FvHiKcGqYYV6dZS2a//8m19z44c+e/+B6N2v3/EvB+AAinITC3MXonWb333ci3a3JqpfKB081mOkJrhvn8Jje0e5arXBxJCGYwkmhkNWTbQYG5rjbx9O+PhD47RaBUaKChVLWklkefPZodI2VUxTzrxtM8a2UpWPHVByXGqlNrONDr/yFxW+8vQEli23nrLXZaBnfYUgqYF5tDTyjDA0SdONIp9j51QWXFvaV2jyZulzyEWqwO/rMwdVPiiXuVsll6no40EOeJpPFGd2x6kVQ6DRcw0KpsbaqS7J/oBOYOKH/STjZREomSvtYOxJJA+cipKJniVP5s3Xt1CVGX7xzxWmG8PoqsDIbnItloswPUbXMq69mmsw/UCl52m0OgYlx+Ga9V0+/v5FPvFwh089OEyU6CRJQBDBfENjcrjOO29qUix4dJpFamWfE3Mlfui77mhdffW1x6cvzvyTgfufFOAAmu7gFM7cdc21V/z7IPL+90LrofrFhTmePlji5i0qG1f5eH6EUAxWjXe4sLDE/7lHZ/dLVQqqwdRodrBS8ke/ril9X8Lcm7AftOqkh8BSoct8q8N//lCFu5+eoFAwGTJlsoSRixTIH69ZO5HHkWQc8kyposnDnWP5LHVCHt9bZKlpMzVMKpLob0CzGMHl/HPJEVdT5t8yZc9AwkMykPAQpwY/ktfRr7pBmkvZdXVWjGncvsvlC493aXZNPEtJK3cWhdIHeGb/liUVS8tjAYmW20uEsZS3veHaJjEzvP8vNObaVWxVYGhRfgYw9RhPj/OM+ySRW1rPj1FVFU01sAwL2yxQKZb54TuabFgxy1eernL6YgFDC2l0E05MJ8wsFnn1ti6PvNhGEcP8m7e/ZmFizZU/u/vIxbtuuGLsnxKS/7QAL1eqAMwttj62bcdrtXPz6m8/d+iRkRs2dbhu+wK7j2gsNSvctD3ENBt86jGV5w4McfVqlYm6QFEkP9k0pPLb8yUl1DBkBqYkQaWHsnR9XrB86uUeYdLm1/+ywFeeHqdUNBm1Ze9u6fJwtcx9jIxbreSq+IzwlPeemjToNHSfl84kHL5oS7dcrd+e5HPrgf5dy5cmaUyfGqchVAP+4KkPShgrhEnSt0SOZA8dpYDNN5OBbC38QMN1TTaMeayd6PL00QpupBBkOZhpzk+UihDkDH65YU+U+he6aeW1fJ0gUIljwZuuXSJILvKzH9CZ7ZSwdSUltElrNUkJkFTfKHXfEkLF8+XP1zblE0hVLCaGHV5z5TyW2eD3Pq7T7NrcuCNhoefxzGGPKHK4/eoqm7fdNLtpy63/MYqCj21du/GfFNzwj5yDf6NruFaiZAd/+e633Pb+N92+Y3bdVIdDpxJEYrFpKkQVHg++ALNzZW7epHPTdo1dV8QomqBW1tm0SmG0HuKHCaYhKNoyCiP381BTJyxTHiwdu8U9uxXu3zNCqWAyWYgZLsYMFROGSgqVgkAhk3P1TS8hVckoyxVAWUisoYWowmfvMY2Dpwpy65maFelZlEoqjtCzeJXLkyWETAJWRGaCL8t2EEMQKzkne1n/HMV5FR+cZQehRrtncMVquGpDjygO6IUKfipZywXKuWFn/24WqZ20riUkiWCpZTK3ZDK/ZLHQsFloFlloVrljp8Jbr52j4/sseXI2HoRJLmxIEnA9aHcTXE/B1CNmljyOnQ1YaEAYeTx72OeJF3WeeXGEyXKJ1+xqExFw9JwCscnm1QnHL/ko1pWz9YnXvX92Mf5L065+O6D47QE4gKKW2Pvcgx9avaLwS+1o5QKxzUitR9uNWOi4PLbHYbRQ4MYdKts2tjl0vsW52YjxesLUeItTsy0WWwklR7BmMiJOQlrdiDCW/OlsdDZSb7PvRMAHvjhCIhxWlGKGSzFDJYXhqsbYsMG6FTr1WsJCD9qePJSlxqlA/4AoW6I4nR7I/ntmMebJAxZCNbG0fnti5OKILCMo7Vd1+TI0uaLPosJFBvAkgSQkiBPcSMGPRBovsnxpE4RSQuYPCBj8UMUPJKfk1h0uK+uuBGCUHSj7/fzgE0uk0r+CHVAudphpBLx8VuXCrM6lRYO5JYv5hs3cUokoqPBTb3e5esMCs42Eji/wQ/n3qkKhXACh+pye9ml1Y+rlgDVTC5yd73JpIWTVeMimdYu8cKrLk/sF84tVbt+pUq74OE7CxaWIIDS4cdfkQtsr/dIDDz70oYmx0rcLht8+gAPsuu6tPLon+GgkNv7M6PiK1vSsRrkYsveoxnCxwq07Beummty3p8PT+3XWjKqsnvCYXmzxwnGdSlFjfAi2rp1nvt1kbikgDLMKHlEueDR7PT72QIkzFytMFBSGilAvCeoVjeGazuSwzq4tcPurmvQUl8Wukr5h6aAu3SKqot9aZFGDphnQ8CMOnbbRFFWOGTPORa78UfqStnwDKseLpiapupoaIESYe4MTB8RxQCdK6IUKXiAJUn4O8GTZRtIfmKb4gUoU6WxdFTFi9egFCX7UB3lmFJT5jCtIHomhxVSKLkJb4oEXPPYeCbgwGzGzqDDX0FhYMplvWCw0SkwNO/zwa5sUi10WewI/gCiRbdloPWS43uDweZdLCyFLLY0d62JGRzucvhRw+oLFzdtUXnfDAscu9nh8n8rcfI2dGwWL3YSRMqxeNdm68cqpn9m1ofXRH/y+t347IfjtBThArdyNdUP9pGpNvXfLpjXeiXMhVcfmXbd3eN11s+w72eKxvQ4bRh2u2pQwPLTInmMKJcNm9ZjKxlU9Tsx0OXhKqseVNGTUtkIqpQ6fflTlrifrjBRURsvSh6VW0qhX9JR7HjNS83njdU1u3tHEjRL8UK7WlVQJnufspAdMTYvR9RChBJybUWh4pnTaGlAAaYPc8TQfyMgUP4bkrpimj2l42KaLavkkWoISJJL04fdwg5BGAN1Qkb8VpFU7iGXPG0i1TZBGhgSBbFNc38A2VMbGXCJCeukTIEwDrOIoyUMJgFQQHKFrPk8eiLnvOY25RsTsYsD8UsTcksJcQ2WhYTK76LDYqPDmGxXedfsCC90oferJoqCrsG2tx6oVbV4+H3F6WqHbqbBrY8iltse+l2NOnq1x+w6VK7cs8rV9Pp99LKHdtFg14lOtr3K3bZp8b3XI/uRiL/lHreG/leuf9JD5SteP/fCPsLAwH1mW9eTMzMVWGH2Spfkj5vlZjW4Q8sxLJquGbK7ZIpgaX+JTjyQceLnKztUqayYS2V8/KEdkxXEhGYBWRL3scvqSx11Pl1Aim/EU3PWyRq2sUS0LaqWYaknySIbKIaNVkWdOZrynfvbMwPREjTD1kDgOePpFk4szNsM18iWRnq/CM2lbX6+Z8VZsy6fodHHsNmcuRXziU0XOzwre+z1t3jjb4+MPlDh9MaGTFGkIDUNVsAIwfbndDII4VdpIbne/VVHpuDoTI4KbdvR44oCPG+gyNTk1Aoou68Hl9jFBFRHzSwpLTZVuOWGpLZPVZOCuRpJoCCXB0BwqpRJvu77Joy+0mWuWGK3IYKlWV7DOMLnzuiX+7AsFTl0UjJ6x2bnRofuaBl9+XOX5wzZFp86NWy5x8nyPWtHhzFyPrevXucPD4z/07PHhL7x8vhn9wk/+0Lcbft9+gAM4pTqGxvTk1NodpjN5q+VFf+W1zzknpx10xeDqLRob1zT55CM9ntlfZsdKnbWTKhtWtTk11+XlsxWGiyq1kkq5CNVSgGV0uGeP4OSFElMVGCpBvawxVNWpVxTqpZhSIaJoB1hmiBCRrGryLU9t3AZzZ7LqHeUTlNlGzPPHLISm42iZxK1/sFym+tFjLEPm3hcsj0qxzaXFDnd91eIvvlLh9Bmdq9a2+f981zw/strn+17j8+G7u3z+qSHOzQ+hC4GlpQzGkIGphSAIli99/EAjCgyu2dCjVvWYazr4uZVb/7AaLXOGTW9oERMlCW6o0HFjFCXK/9841tLkYIuiU2L9WI+btre461GHRkfQ6kYsNDXmlwpsXtFm5USHYxcMRqqCSrHKnVd72OYsX3holKJtsHNzlZUj0GzCdVdfwaqpyfc9/sCKz1113fnk+7//B/45oPfPA3BLVwCiv/rY31zcMHbu04qyWpuNlT89feZcZd24YNV4g6/u9tl9sMLWSYP1K3TWToZUK4v87WM6+BaTEypDVZV6KWCk2qXR6/K150uI0GK8Iim3QxWN0brC+FBAvSw9GYXIXGUZULKn28bc0TaTi8VywaFLqdu5mYSHXihi2tIgX94ASjotkQueTORsGtKWwjF9ioUu04tdfv5PazyxbwRfNwl0iI0YvA5Bz2K4LPjP73G5Y9cl/p8/Ubi0VKegC2wjwg/A9/taR1nFZSXP0tTaPYPbrmyyZqzL+YUKbtg/rOYz8YFMn3iZwj8dU0bQ7CU0ujE9LyCKE4TQ0XUd27Spl0u8cdcSD+3tcbFZpF6KmG+EnJ81qVfK3LStyZ8fdzl1UaFoG2jqCDdtnqfnLfHCoSKlczprxz2SyaG5O+54y+K6dRtO3fZqP6mU/uH013+RAM+u9/zwD/LpT3+U+/YnnxgqrtJ37Vz5+zMXXxr63GMdXLfEDZsMhioqq8Zh7YolvvxMwnMHyqwb1VgxqjM+FDEx3KNWafCZJwS7j1TZMpLI1qSiM1ITrBjxWTnW4Pi0y4nzJa5YZVNyVKlOV0Xf5EcoAxzw/mInA7em+jRcSFQDU1Uk8HPvlPTP6gqG1idW2WZArdyj43b45Q9WeezFCUkFtmUmTcEuMr+kcEaz8AKFcrHHzVc0+P2fuMRP/ZHOXLtK0VBwfGk4GqSC4DDdaIapUiezgwgjnarjQRLQCy15Y+Qi4jhd4YtlSRBxJP1YdBUqBZUt63q8fDHi5DmbKApT01IdxzI5N1viVRs6vHpHg889YnNxUcU2Q2zToOSUuXGrx7m5Fo/s1qg4KkLoLDRH2Laiw6p6k4uL47zq6qvnX7W99/PWyMaPRiRKqBn/nJD75wU4wPd8z48AkCTzHwVd+8LdY/+zbD0wcu5Cm/HRgEvzCSP1gIvNNk8dKFAxTdZPaWxaFTM12mViZInnj7p88sE6NUtnqBhTKekMVVTG6iGrJ5qcnmvwJ18sUTcthks6E8MqF+c1zlyU7lnSW68vLjbTw6FlSOafafgEic9nHi6ixAZmvsBJ3aSy2bc2KIyQSydD7/DZJ3SeOzTMSEljqhIxVIJKUVCv2rx0zObSJYNqKWK4ZhDFKq/aNMc7rl/g4w84NDydohnlIoYwjHP5WxgquUVyEGooisH3vLrHY3s8OoElJzJhlnsTpy+RT2GSWDA1FjM8FKEqMFxRuX6rwetunOH3Ph1x6kIJQw+xTEHRUSk5JsOVMt9/xzynZ5Y4cKyOEDFhFKBrOkOVMjdvm+PgiTYzTZV1UxGHz0TMN3UCVvN977h1tjx22y9f8oOPrlF+mlf0kf42X9/2Kco3uhRlCBAffuebb33/Nde9dnbjWoee1yCIIp4/3uWDXykzPVNix1qNqzYGVMrzrBy/xJ6XW/zqhyscOllhrBhTLkiR7lAlZnK4h+Ms8rcPGzQaJaaGVeJEgnD/CZVnD9hoIHkpeqbgJxcVW2aIZQZYhsf5+Zh9J+zUgVbGe6sDMYK5X6EmR5aWEVKv9Hj6UMQffWGIRNisKMeMVWFq1OD6bTo7N4XseTni6YMKZy4aXJq3mV0oEgYVfvIdLtdvX2S+peAGSjoDT5VC0eAiZyCqJNLYsTZkxXCXXhjRDhR6fiZKlkp3z0/wAgXXV4ljjRu3h2xb7xGEkidzdqbAkFPh39zRYCnwmV5MWGiELDYTGm2d+YbDFatMfuu9M+zcusCJhZBFt8O+YwH7j1lMVgu89809dm1ZTMehbZZch9fefsfs6MrXvt/S9Q+vmap9p2D2nQO4BHmRuUXxoc1bbv7FO25/3WKltIp1E11OndcZKVqM1zR2bgwJRYsH9shT/988WOLsbB3DlBOVkqNSKwlGqgFjww0+dj8cPFFh7YhCqSAV+qYRYNsxui7/jFTgp/xvK05TI3wcy8M2PWzbZfdBlXPTNpquoIu4b+ouBliIGql/SyxvDLPL3hMa840iw3ZCrQC1ksZoXWPlWEi10mau43NuNuDSYsLcks5iS1pZDJUsdq3r4IY+7SB1jUoBHkdJnzSVxZTEAtfXWDkB12xvgefS8BVankLHg66X0PNiXE9uHF1PBkN5vkHPjegFCa6f0GzD6ekiO1ZZ/OCd85xvJCw0I5baEc2OSFX1OpPVIj94R49KMeSOa3wSvce+4wkX500Wl0qsGVM5PRsyOb6aG295w+JNN9z0i6P15ENjI+Z3EmL//C3K5ddI3cb3vY8Z2o0LYxON9apY8zu3qE/rXd9jvlKnG3b5ymMqk5UKR84lKJHNj74+4dz8Es2FCiVHpV6OmRjpcm6+w+cfr1FUdIbKCpWioOwEmIbH8YuCONal2NhUJK/EVlKxRECl6DFU7lIptYgSl8cOVvACA8dSUsLUgIZS6XuESwV+RLngc2E+ZPehGqbQqRfkFrZc1KiWFKpFn07k4YU6vW5MoxWxVNApOTpLbYtq0ebaLU3Ghns0uhVGCnEaU5JxS9KDYpy95GHTUFVu297jU/e3abU1iE1UBUwttZy2Q7quTtcVtLo61bLOmnGfY2cSWt2ERidmdklnYqTMu26+yMN7W5xbKFMrRTSrkoj19MGIsxdHWTURsXkyQY0rvPPWFo/vbbL/eIGZRkCzY/D2N7wqKFiFX7rt9lcdRzO/ogj9Ow2v72wFzy7DMOOn9i7cZY+84wPDE1f9dG3y1mipXY9v3N7k1EUPETrccXWP0xcjxkoW12+NsIyEgi0YqiiM1X3G6ot8bY9K6DlMVKFa0qgUoV7x6Lg9vvqsQ+hpVJyEgiUo2CJPhBuudik6DRbaDc7O9fjNv7T4yqMFIl0s8/qWn2e+gkpOrjK0GMvwmF6EUzMWjqZQtKSUrWALCpZcTGlqSBTHdH3o9iI6vYROT9Du6ri+xdSwYLLWoxvE+KGSWxMPhsTK+X3mhagQBhpvvdXjV//tDOvHZ6lXF5nzYy61BM1eIu0c0n+n1TGwNIs3XutTcDzm29BsRyy2BBfnHCy1yOtf1eR8M+TSUsxCI86tMJ45pDG3WGLtRMBD+0CPHdZMejxxwGf1RDl+99uuj6668oqffstb7/xAyTh/l6np3/Ylzrdy/YsAOMAbb1/H5NAJf3y8/jFP2XDFLdev+9XDc0McPGFx/RVweNpnz0tlNq9SuLDQ4/R0gakRnamxiNUTS3zuyZDPP1Zj2JGxhpWiSrUUMVbv8uh+eOHlIjVbkVEqtvRfKTshQ1WXWrnBZ58I+f7fHOO7fnklLxw36YUZMarP206S5R6aQpGjQ9OIQAm49zmLMzM21UKSWkFkOUPSQk5VI6IktSkOpLi36ym4rspS22TVqMYbrusSKxFumGVl9ufY0o12gGcOgFT2X7Ux4Eu/tchn/8slvvvVl7jUjZhtKrS7Me1eRLun0OxoNDs2V29QuGVni+mlhEY7YqkVM9/UWWyW+K6bEt552zwnZ2POz4Wcm9GYGnUYG+ly5LTCNRtt1q1u8/RBnfUTKm99jY1Z3vCrt1+/5oqhofrHZi6e9RVj63caTvn1LwbgANdcuY3N69f3dm08dvT1b3L+52Jv+3+94/ptUS/0eOAZwdoxixXjPV44ARXLYtu6hI0rF7nvhQ5//Pk6SmAzUoZyQaVSUhgf8lhod/jqbgsik+ESFHI9Z0K9HFAptvjsExEf+NIInlvnpm0l/sf7BO95Uxc1lGbxeUxIlG796DvgqkJuPjU1oBcIRKJSMGSKnGkKTF0SwzRNUmbjRPoOBkGC76d2xb5Kz9VJYkNuMaOIIFLydLNM3CbyhZS0hM5Smz/81TL/3z/ZwIPPb8BUJvn3b/F4121zLLgxi21odyPavYRWV2WuYaHi8IZru1RqLheXoNWOaLQU5pYsNKXMz7yzy+3XzXF0OuDgiYROu8CODSFn5zxOnrO58+qAaq2HZu2Mvuu1W/7rz/3h+v/58XvOHx0e3tIbm7jqOw2jZdd3vAd/pWv7zvfwm3/wuei//9K7fs11L2oPPvTwzwvlJXP1aJNG1+XwSYd33iiwnCafetTj/j011NhispK1HyrVYkSt1OHplyOOn6swWVKoFqDgqBRthbITMlzrcSZdm1uJw7UbBFevL1I0K6wca6AoGn4MTV/gGHEuLMirqiJFDZYRcWJa4cApm4IhsPU4tXJOF0EpfVYocosYxpIe64cxng+uL6ccPc9k25ou6yddug2z7yarKDmwpZ10gGX4qCImjjVOTVt02wX2HzIoaIJrtsAPvnaeQ6e7XJorUi/FdHoxra7KUstgZqHC5gmP7eva7D1g0ujEtHsKrZ7OpYUi43WF97yux6rheQ4cLfPk/jLveLXg8b0e+08alMrruOHGnd6mLa/+vVXJ0K/NfvVvGVn77V+7/0Ouf5EAB/gvP/cukmSek6edX7nhhjeLFSs23/jwQ3eJKIlvvHJ1pNWrHe59LmZxqcqYA9hyc6cKaWBZK/kESZcnD1roic2qEYVSQbpH2RaUCiGm3uPpI4LZ+QJXrRRMjWqM1iNifE5eKjJe09mwqksrCDl3rkDJJF2eZDwPuRk1zZATJwWHTtmUdVLrCCX3KtdS8YMykAcfRoms4kGSOrqq9DyDrSsT1k347J5LiLJMyzwRLcE2QyrFHsenXbquw8YVDqtHeiACZpdUzl5UqRYrbN/Q4dotHb70sEOrK1IjH5VGW+PMxQKbV9e4+Yom+w57LLYEQRgjU04Epy+WAIsdq0Ima10eeV7h2QMF1q9xwnqh9NSdr3t7vGbNhqcsh185caHF+hXfPrrrP/b6FwtwyGblALz/V//3JwnjK0oFzfuz2284/73nLh4TJV3nhusDDp9SKRUVdh8VLHUhIca2fPYeg5dPlrlug8ZYPWapLcd7hp7gWCF+5HH6kk7JNBirCUbrgqnRFofOhjyxd4hbNir80JsC5t0F3v8hlcWeTbUgN4R9K+METZXBWiVLoaAkfbdbXUrl1MtivbP8yzCUyxjX03B9GcaUKAa+2//7s2hFQ5Px5SXHw4/afOAum+bSCD96p8ptO2a5Z3eHs3MmK4YjpucN1kyWWTc2j2b4dHxLpthFcrb+8llBu1tl69qQqza5nDtnIpSEcsEnigN2H9aplhQOnLbYskJjagISY3383jfVPrNypfrj3fa+ll3Y9Z2Gx7d0/YsG+OD1X3/2+5i9dLrl2PbPnDxz5li8p7B94+rGO3e/eJQVIyZT4w0a7Qp7jwVEsUaiBOw/oTNasrh+e8LJi13aPYuxVBqnqTGnZxSePeiwoqZQL6uM1iJsq8kXv+owUtBZPSE5GVYk0FSfC4sOdQeGynGqcJFWyUkS0fIEQtFSU34FO7WUM/SkL/IdSOtJEtmmyINmkppc6uiaTsGS4ogokSomTVUwDTmKHB9qM99x6QVVej3ByfMaY0MV3nnzLH/0WZ+ZJcFYI2F6zuaGrfD5J0O6i+m/FyaSQ++2efJAlaFKmSvXLnL2fISqxozU59lzuMShsy6TVYOS7dOMN7PjCucLmzdfeyC0Vv+/L1/otTZtXP2PeCf/ea9/NQAHGBlbDTCXJMf/y7Zt71r9wv7jLLgr3jl97gD37m6wfixG0SJMI6brhSw2LLav0VD1Ji+diVk9rDIx1GV2yUwTCWKS2GSopFAtC6ZGOxy5EHDwRJ0NQyoTQ6BpLk8cMLFVg+1XNZmft2i7gjBKSJBclIUWPLzHotvVKFWRxpoFQcmRa/wolvyROBaoinSkUoXM8mx3I2xT0CkKmh2dyRGVW6922X8yJAiMNKsIinZEQpdHX4zYMFXi1u0BX3rIZ3pOY2bBYscajfUrO5ybMVg5ErPQMBgbdlCTCFUkDNcE04shwzXYusbnyJkWB0+UWTFh4NgBXmASRR4X50vcsr1BuzfOrquupVDb+oXI2vKzrah9euea0e80BP7e17+oKcq3einKepYWrdMb1l71izuvvPK7X/Oadz66YcNr2bjKYKouqJcjjpxN8HpFXrXVpeW6qFhsXx+DvsBiM6Ldgwef13E0OVYcqiRUSm1OXlTQEp2RmspIPeTCgsvB40XessvhPXf6WHZAx5UHTQU51fCjhOl5DSWRqcFFR2WokrBuRRshXGYWdTquThhpaEJQtGCkKohJOH0pZLEZ0uoqdFwVRdGZHJLpFGE6SRYCinZI2/P58D017nliJdtX64yP9phthMwsqCSxw7oJj8VexEIzZr6h4nk2r39Vj4KdUCsBosGB4xCFBYpFn2ePxDiaw8aVEfONmOPniix0S9xyw2t485vf/eiGjTu/+4rNV/7itpXK6Vt2/f29uf8lXP+qKvjgVavXAI4lSXIMOLDQiCau37Hig1b59Iao87z65BMmuzYKbMfl/JGEsZrO2FCbTz3isH4EDN3j7IxJ1VaplwUj1ZAgcXlkn0PJlAukgu3z0H6FRsNkxZCGLgyCMEKJ41xEoGXyNkPH0iU1uOQIxuo+QbLEfXscJqsO6yYNwlhDFQpFS2FqTGdyrMGnHoOZJZWRWozrCTxPw/NVObFB9uogLdd0PSQKdS7Mmtx2tcmrtvZ4fHfE3BK0uxav3tnga7sDKUFrJrTaNpNDHdwwouvBLVfGfPqhiJl5g5UjXY6f7vD84QLb1/W4b7eCU78teu2dG48VKtG/W7f5tmngqKIo/9C36F/E9a8W4NmVvgFHk+TM0SiK3/CqXZUVmrrrM/Pu4+Widqbw4gk4ebHEtRsSnnoppNkosOKKmGPTEQuLBTaNS/XP+FCLuWaP+WaZFQVBpQjVoiuTwywD20yDlhJFMhJTJY+pR9IeQpHGP4ah4NgwXHE5uxSw52WL2o6EnieIVFUStXRpZHTl+oSvvRAwf8mi24twfZUwjTsJ4gQ/SeVrgUw+Fshsnp6X0O5YeIHPUiei2UnodHWGhzTGqh0uLFmsbcWcuGCzcbXN+pUu52dtrtpkcuOORU5MD7Nrs87mVQmd2KBUvarzCz99WzMKw3eXhyfP+0I9/a8d2Nn1rx7g2aUoq0iS6PT6javPer3mtm1XqTfoWvxntUvHixGnqro4wdGzKmNVnYLj8cA+wZVrDMaHQop2zHy7w/PHIYykc5ZjJcy3Ag6fVBmrKtiW1FzquoEthJylFwMc2ydR5Lo+y+axjATb8onjAFMofRcp+lmXKBBGGrbWpusnuEFm1iN7cz9SaUUKrV5Cx43puSqR0OkGCj0vZmbRZOfagD0v+XQ9G9eX1hXXXdFhzyGbjlfk1MUELyhz7ZY5Hnza5eKcyZZVHZ5pBaCtab3tzvULm7ds0GxTvM9wNjxdrTiNKE5iTf1X2bm+4vV/z3cCKIqKoijx3uO9xUJl8t4vP3Zoze23veXnf/rf/cjBnTuv2js5snLf2qmKWypqLC45bFrtgeiA0uPJAw5Ve5iyI4gTsMwIN4w5fbHMaFWhYCWp3lKhUpBi5vGhNmfnApZaBV53TUStEhEnMivI9WP+7It2bucmPVJiwjhdFkUQx4KfeEcH05T0VkWB2Sbcv7tIvWAwOhpyYSlhZj5iqaXSdQ2CIKbrJlxaUFk5ZKEaMs5EETGNjk5jaZSbrlCICAiTFi+d8qlYJorp4EVVt1pdt2/n1dcfvPqGH/rvl4799fpKtbxpdGL03mplZlFRlP+rwA3/F1XwwevGHeMAcacbAuLDSuz+pVBVbrthpzo6VPxAtbi46fU3XbjF1s+qR87FaFoX14WyHTFVi4l8aTHseiHrx1TGhwWqGiFIKBswWhc4do8wdrlvt0VRKzE61iZRpIWEbUm7s5KT4HakpYSmRfiRj6aZhF6cerModDvgBjJZIQjljFwTFm++WkV3XO5+yqQbeMwsWghTvl1RFDE9Jzg1XaRkNkn8mDiBiwsGjRZMVKFejlg/aXLsogPmluiNr1/9+KYJ56iStH5q1utGum5zzZ0fTGq1ld3v9Pv17bz+rwR4dhWc/NvLmEnhpdnmj6PYtR9Ye/63Th39vOH7C1EvGt21ZX1yzYnpS9x8xQLnZzwSLB7eW2LTlIJpexybFqxXLHRVZfV4wOlZl1MXKyhRSAi4voomFGolGKt10FTBD7zO46++JF1wz8yGvHTG4fYrIw6fcOl5FlEMH7uvTBIpXFqSVTqKFBxdwdAUdEXltm2CROlx+pLB0JDM71k7GuOFXY6eNrl1u8KDu2NePB5yZlawc6ONZU+wspg8f2ne31Mfn1RvvPWN/uqVI/8p8LxFw6p8p9+Wf9br/2qAv9I1NlIGWAR+EuCeex8lipXbVo6175w457579fj85vMXXc6ePUrZ1lk14XJmxqPVdrA0HUPTSfCZXwyYqBdQ1VAmK4sQUzeoVyKOXexhz1lUyzqmrhDHMWdnNfYdq/Pv39am04pIIvADlUbXYfsaBdPssdDU8HyNII7wAkCTnoSTYzHnPY8oVJmsJozXAxpdj+PTguHhMlOTgvXrr2R8lcnOzdUjbb/wme1rzK+FYfLolh238Z//w3f6p/6du/7/DuCXX298w20Aj87PLT26YhWP2XZv/diKxXjPoQvx5NT/r71z6WkijMLwM5dvptPSdnqd0hYrlYAJRgOYqEHZGHSh/g+37lyydOc/cWHcoG40BGFhSAwETcAShEhbpDdopzPtjAvC0q1c9Nmd5Xnzrs7Je056eLCYfO5rOwjFwO9tI3P8TGtpXeHpkw6asGkcamz99JA9kBWPtyshJgrHKfdcSmKrCqm4glCPb5voQiWdarNbkcnFXKyIznixx/KqB77HcMam2TCoVH3qdYfZm22atT7Nlk7cNMnkBkn7DnczWQyl+iIQ2ClN3bonx+OmbEaMTWB+IGyetrRngn/e4CckkibA/Em9tFZGCM2sVvY+pVydSFB1reTws8sj6qym+4zd8JCdRcq7B4zlfcItnVpjALdv4zhgd/u8WtAZH3L5sg1C7dG1Ab+DIXSS5hHrpSAPpw5Z+abh9cEIQKcbotUW1DqC0XyPg0iE4tX7BNMCI6Cy3+RdQLFfBrSemJwcJRy1PoJTl6Tzsz7/m/w3+B+4PW4B1IHXAPXaDyT4mmlLlqLiXSq4LC6sUW3aTEd7hIMKq999d/rO1ByhzuOs6bgdTeJaQULEPPIxj2gKskMdJENgJXo4isFI8YhDL0g+Lwk3YL6xO5/nqo2QcFyJfEoiYARJZCaIWQJVleShnlwGSoV89rQlOhdcjGn+GWF78wOyLFnvl/ejiYGuv7GncCXtUar4pCI++w2YuW7zq64Sj/bZLusULIeNHY1CVpYqrVwDyS8/ejBz2q1cGH4D9qWMtfo1WSQAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6NTA6NTIrMDA6MDAqxKSNAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjUwOjUyKzAwOjAwW5kcMQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 18}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 49688713
{'hecke_orbit_code': 31525197693583408, 'n': 1, 'trace_an': 2}
-
id: 49688714
{'hecke_orbit_code': 31525197693583408, 'n': 2, 'trace_an': 0}
-
id: 49688715
{'hecke_orbit_code': 31525197693583408, 'n': 3, 'trace_an': -13122}
-
id: 49688716
{'hecke_orbit_code': 31525197693583408, 'n': 4, 'trace_an': 0}
-
id: 49688717
{'hecke_orbit_code': 31525197693583408, 'n': 5, 'trace_an': 382860}
-
id: 49688718
{'hecke_orbit_code': 31525197693583408, 'n': 6, 'trace_an': 0}
-
id: 49688719
{'hecke_orbit_code': 31525197693583408, 'n': 7, 'trace_an': -24471568}
-
id: 49688720
{'hecke_orbit_code': 31525197693583408, 'n': 8, 'trace_an': 0}
-
id: 49688721
{'hecke_orbit_code': 31525197693583408, 'n': 9, 'trace_an': 86093442}
-
id: 49688722
{'hecke_orbit_code': 31525197693583408, 'n': 10, 'trace_an': 0}
-
id: 49688723
{'hecke_orbit_code': 31525197693583408, 'n': 11, 'trace_an': 987553512}
-
id: 49688724
{'hecke_orbit_code': 31525197693583408, 'n': 12, 'trace_an': 0}
-
id: 49688725
{'hecke_orbit_code': 31525197693583408, 'n': 13, 'trace_an': -2519398244}
-
id: 49688726
{'hecke_orbit_code': 31525197693583408, 'n': 14, 'trace_an': 0}
-
id: 49688727
{'hecke_orbit_code': 31525197693583408, 'n': 15, 'trace_an': -2511944460}
-
id: 49688728
{'hecke_orbit_code': 31525197693583408, 'n': 16, 'trace_an': 0}
-
id: 49688729
{'hecke_orbit_code': 31525197693583408, 'n': 17, 'trace_an': -34313126364}
-
id: 49688730
{'hecke_orbit_code': 31525197693583408, 'n': 18, 'trace_an': 0}
-
id: 49688731
{'hecke_orbit_code': 31525197693583408, 'n': 19, 'trace_an': -80053542184}
-
id: 49688732
{'hecke_orbit_code': 31525197693583408, 'n': 20, 'trace_an': 0}
-
id: 49688733
{'hecke_orbit_code': 31525197693583408, 'n': 21, 'trace_an': 160557957648}
-
id: 49688734
{'hecke_orbit_code': 31525197693583408, 'n': 22, 'trace_an': 0}
-
id: 49688735
{'hecke_orbit_code': 31525197693583408, 'n': 23, 'trace_an': -297228742704}
-
id: 49688736
{'hecke_orbit_code': 31525197693583408, 'n': 24, 'trace_an': 0}
-
id: 49688737
{'hecke_orbit_code': 31525197693583408, 'n': 25, 'trace_an': 1796695260350}
-
id: 49688738
{'hecke_orbit_code': 31525197693583408, 'n': 26, 'trace_an': 0}
-
id: 49688739
{'hecke_orbit_code': 31525197693583408, 'n': 27, 'trace_an': -564859072962}
-
id: 49688740
{'hecke_orbit_code': 31525197693583408, 'n': 28, 'trace_an': 0}
-
id: 49688741
{'hecke_orbit_code': 31525197693583408, 'n': 29, 'trace_an': -470374069572}
-
id: 49688742
{'hecke_orbit_code': 31525197693583408, 'n': 30, 'trace_an': 0}
-
id: 49688743
{'hecke_orbit_code': 31525197693583408, 'n': 31, 'trace_an': -3400754454592}
-
id: 49688744
{'hecke_orbit_code': 31525197693583408, 'n': 32, 'trace_an': 0}
-
id: 49688745
{'hecke_orbit_code': 31525197693583408, 'n': 33, 'trace_an': -6479338592232}
-
id: 49688746
{'hecke_orbit_code': 31525197693583408, 'n': 34, 'trace_an': 0}
-
id: 49688747
{'hecke_orbit_code': 31525197693583408, 'n': 35, 'trace_an': -31801338154080}
-
id: 49688748
{'hecke_orbit_code': 31525197693583408, 'n': 36, 'trace_an': 0}
-
id: 49688749
{'hecke_orbit_code': 31525197693583408, 'n': 37, 'trace_an': 10652012180428}
-
id: 49688750
{'hecke_orbit_code': 31525197693583408, 'n': 38, 'trace_an': 0}
-
id: 49688751
{'hecke_orbit_code': 31525197693583408, 'n': 39, 'trace_an': 16529771878884}
-
id: 49688752
{'hecke_orbit_code': 31525197693583408, 'n': 40, 'trace_an': 0}
-
id: 49688753
{'hecke_orbit_code': 31525197693583408, 'n': 41, 'trace_an': -113376799448748}
-
id: 49688754
{'hecke_orbit_code': 31525197693583408, 'n': 42, 'trace_an': 0}
-
id: 49688755
{'hecke_orbit_code': 31525197693583408, 'n': 43, 'trace_an': -61637031489880}
-
id: 49688756
{'hecke_orbit_code': 31525197693583408, 'n': 44, 'trace_an': 0}
-
id: 49688757
{'hecke_orbit_code': 31525197693583408, 'n': 45, 'trace_an': 16480867602060}
-
id: 49688758
{'hecke_orbit_code': 31525197693583408, 'n': 46, 'trace_an': 0}
-
id: 49688759
{'hecke_orbit_code': 31525197693583408, 'n': 47, 'trace_an': 279645641926560}
-
id: 49688760
{'hecke_orbit_code': 31525197693583408, 'n': 48, 'trace_an': 0}
-
id: 49688761
{'hecke_orbit_code': 31525197693583408, 'n': 49, 'trace_an': 60469362475890}
-
id: 49688762
{'hecke_orbit_code': 31525197693583408, 'n': 50, 'trace_an': 0}
-
id: 49688763
{'hecke_orbit_code': 31525197693583408, 'n': 51, 'trace_an': 225128422074204}
-
id: 49688764
{'hecke_orbit_code': 31525197693583408, 'n': 52, 'trace_an': 0}
-
id: 49688765
{'hecke_orbit_code': 31525197693583408, 'n': 53, 'trace_an': -530964038611476}
-
id: 49688766
{'hecke_orbit_code': 31525197693583408, 'n': 54, 'trace_an': 0}
-
id: 49688767
{'hecke_orbit_code': 31525197693583408, 'n': 55, 'trace_an': 307321280077680}
-
id: 49688768
{'hecke_orbit_code': 31525197693583408, 'n': 56, 'trace_an': 0}
-
id: 49688769
{'hecke_orbit_code': 31525197693583408, 'n': 57, 'trace_an': 525231290269224}
-
id: 49688770
{'hecke_orbit_code': 31525197693583408, 'n': 58, 'trace_an': 0}
-
id: 49688771
{'hecke_orbit_code': 31525197693583408, 'n': 59, 'trace_an': -1727524231086456}
-
id: 49688772
{'hecke_orbit_code': 31525197693583408, 'n': 60, 'trace_an': 0}
-
id: 49688773
{'hecke_orbit_code': 31525197693583408, 'n': 61, 'trace_an': 2784287656027900}
-
id: 49688774
{'hecke_orbit_code': 31525197693583408, 'n': 62, 'trace_an': 0}
-
id: 49688775
{'hecke_orbit_code': 31525197693583408, 'n': 63, 'trace_an': -1053420760128528}
-
id: 49688776
{'hecke_orbit_code': 31525197693583408, 'n': 64, 'trace_an': 0}
-
id: 49688777
{'hecke_orbit_code': 31525197693583408, 'n': 65, 'trace_an': 2640922679811240}
-
id: 49688778
{'hecke_orbit_code': 31525197693583408, 'n': 66, 'trace_an': 0}
-
id: 49688779
{'hecke_orbit_code': 31525197693583408, 'n': 67, 'trace_an': 3329301676696184}
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