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mf_newforms • Show schema
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{'Nk2': 9600, 'analytic_conductor': 46.857753822618264, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [150, 2, [101, 127], [2, 1]], 'cm_discs': [], 'conrey_index': 49, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [508369, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336827912342, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '150.8.c.c', 'level': 150, '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, 5], 'level_radical': 30, 'minimal_twist': '150.8.a.h', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-8 i q^{2}-27 i q^{3}-64 q^{4}-216 q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '7.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '150.8.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1309548225237745607, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.050', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.992', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.265', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.818', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.093', 'prec': 17}, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 9600, 'analytic_conductor': 46.857753822618264, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [150, 2, [101, 127], [2, 1]], 'conrey_index': 49, 'cusp_dim': 198, 'dim': 22, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 137573171350, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '150.8.c', 'level': 150, '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, 5], 'level_radical': 30, 'mf_dim': 222, 'mf_new_dim': 22, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 22, 'sturm_bound': 240, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [22, 0, 0, -1408, 0, 432, 0, 0, -16038, 0, 21504, 0, 0, -17984, 0, 90112, 0, 0, 24520, 0, 9936, 0, 0, -27648, 0, -368992, 0, 0, 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mf_twists_cc • Show schema
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id: 40699221
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336827912342, 'source_is_minimal': False, 'source_label': '150.8.c.c.49.1', 'source_level': 150, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336827912342, 'target_is_minimal': False, 'target_label': '150.8.c.c.49.1', 'target_level': 150, 'twist_class_label': '150.8.a.h.1.1', 'twist_class_level': 150, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 40699222
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336827912342, 'source_is_minimal': False, 'source_label': '150.8.c.c.49.1', 'source_level': 150, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014536082653634, 'target_is_minimal': False, 'target_label': '450.8.c.e.199.2', 'target_level': 450, 'twist_class_label': '150.8.a.h.1.1', 'twist_class_level': 150, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 40699223
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336827912342, 'source_is_minimal': False, 'source_label': '150.8.c.c.49.1', 'source_level': 150, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396780552342, 'target_is_minimal': True, 'target_label': '150.8.a.j.1.1', 'target_level': 150, 'twist_class_label': '150.8.a.h.1.1', 'twist_class_level': 150, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 40699224
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336827912342, 'source_is_minimal': False, 'source_label': '150.8.c.c.49.1', 'source_level': 150, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197525811350, 'target_is_minimal': True, 'target_label': '150.8.a.h.1.1', 'target_level': 150, 'twist_class_label': '150.8.a.h.1.1', 'twist_class_level': 150, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 8}
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id: 40699225
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336827912342, 'source_is_minimal': False, 'source_label': '150.8.c.c.49.1', 'source_level': 150, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007336827912342, 'target_is_minimal': False, 'target_label': '150.8.c.c.49.2', 'target_level': 150, 'twist_class_label': '150.8.a.h.1.1', 'twist_class_level': 150, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 8}
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id: 40699226
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336827912342, 'source_is_minimal': False, 'source_label': '150.8.c.c.49.1', 'source_level': 150, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510799016329666, 'target_is_minimal': False, 'target_label': '450.8.a.d.1.1', 'target_level': 450, 'twist_class_label': '150.8.a.h.1.1', 'twist_class_level': 150, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 40699227
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336827912342, 'source_is_minimal': False, 'source_label': '150.8.c.c.49.1', 'source_level': 150, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191936369090, 'target_is_minimal': False, 'target_label': '450.8.a.w.1.1', 'target_level': 450, 'twist_class_label': '150.8.a.h.1.1', 'twist_class_level': 150, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 8}
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id: 40699228
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336827912342, 'source_is_minimal': False, 'source_label': '150.8.c.c.49.1', 'source_level': 150, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014536082653634, 'target_is_minimal': False, 'target_label': '450.8.c.e.199.1', 'target_level': 450, 'twist_class_label': '150.8.a.h.1.1', 'twist_class_level': 150, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 399975
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 2}
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id: 399976
{'charpoly_factorization': [[[729, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 3}
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id: 399977
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007336827912342, 'p': 5}
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id: 399978
{'charpoly_factorization': [[[508369, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 7}
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id: 399979
{'charpoly_factorization': [[[-3810, 1], 2]], 'hecke_orbit_code': 9007336827912342, 'p': 11}
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id: 399980
{'charpoly_factorization': [[[152881, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 13}
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id: 399981
{'charpoly_factorization': [[[17489124, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 17}
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id: 399982
{'charpoly_factorization': [[[-1561, 1], 2]], 'hecke_orbit_code': 9007336827912342, 'p': 19}
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id: 399983
{'charpoly_factorization': [[[13030222500, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 23}
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id: 399984
{'charpoly_factorization': [[[-83214, 1], 2]], 'hecke_orbit_code': 9007336827912342, 'p': 29}
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id: 399985
{'charpoly_factorization': [[[83167, 1], 2]], 'hecke_orbit_code': 9007336827912342, 'p': 31}
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id: 399986
{'charpoly_factorization': [[[53515419556, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 37}
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id: 399987
{'charpoly_factorization': [[[124656, 1], 2]], 'hecke_orbit_code': 9007336827912342, 'p': 41}
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id: 399988
{'charpoly_factorization': [[[37541775049, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 43}
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id: 399989
{'charpoly_factorization': [[[101946104100, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 47}
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id: 399990
{'charpoly_factorization': [[[2707433303184, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 53}
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id: 399991
{'charpoly_factorization': [[[-38610, 1], 2]], 'hecke_orbit_code': 9007336827912342, 'p': 59}
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id: 399992
{'charpoly_factorization': [[[1973905, 1], 2]], 'hecke_orbit_code': 9007336827912342, 'p': 61}
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id: 399993
{'charpoly_factorization': [[[19445921521009, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 67}
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id: 399994
{'charpoly_factorization': [[[-124080, 1], 2]], 'hecke_orbit_code': 9007336827912342, 'p': 71}
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id: 399995
{'charpoly_factorization': [[[15742119557956, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 73}
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id: 399996
{'charpoly_factorization': [[[7107992, 1], 2]], 'hecke_orbit_code': 9007336827912342, 'p': 79}
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id: 399997
{'charpoly_factorization': [[[65896955877636, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 83}
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id: 399998
{'charpoly_factorization': [[[6727872, 1], 2]], 'hecke_orbit_code': 9007336827912342, 'p': 89}
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id: 399999
{'charpoly_factorization': [[[203595200405041, 0, 1], 1]], 'hecke_orbit_code': 9007336827912342, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '150.8.c.c', 'level': 150, 'portrait': 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LrJPjOTIbOTIZvWWbbMKq7Z7FFWVU6eqfPkyz7PH0nYfzomVW3edVeTe19nKatJjpxucPKC5vx8yqUM3McWLbdeu8A/+74VNk+NcWG+wdxKmcVVTbMj6XQtFxcshy+A9s6xd9PSNYePNN/w2Cur2144uvrlt777Q9EDn//YNxsS/1WPv9QM3u10KFeWMKb0i6dOnHvdr/7O52WpdOF1b9jT1scvVNi1tUvFL3H2UpWFVc1yC5abKcvNmKXVlEurcHxJMD21ys/9wBKv3VXh7NwEF+arXFjUzC1ZLi0mnFtImW8nNCb6vP76DrfvAV+WCVTA3HKJi4uaS8uCbghJYij5hmopZXwswQCnLyW0OrB1nUe1HGKtAOHT6Rm2zIYsrWqwToqsdiBMwGJZbkZsnPFo9xRCWYQJqZc8tqzvs9oVnL6gSY1msi6plQSBB0ki6IaSS8uSi0uWuZWEIOiDl3DH3g6vu1YwXS+ztFLn7FzAhUWYW0yYW044vwzHlyy37F3k539ghdlGnTOXJri0VGZhxWexKVleTVltxyw1U84uWPxyyq4NcPCU4Xvfo5L1E5se37DzvWZ247bHF9vpz1yzIWBsrPrNhsqrPv7SMviX7/sk1+y9ib/zd/75Lzzy6Nf+wbEDD1x94lRz275jbfn6m5a46/qYSiBJUom1EosAKwEJCISwaGHxJVxYKvP0Mcn1O5bZs7lPpQSelviewvc11bKk4km6HY/Dp0o88LzP6fmQVhJz+GzIusll3v36Fa6/us0te5qcWkxY7AoqQZ8TFyzNVpXrrpKs9lMOnlLUKppXTsPODZZ+lNJPfbSOGa/BobMBSqd4MkF70Aslr93TpdeVXH91SquXcvpCje2zimolYjW0zDS6rHRafOJBePFkyv6TfbZuWOKG3S3GJyLeeUeb97/RsmO2Rho3OHl+jOPnPM5eMpybjzk3n3J8XnBmNebGXQv83A+0WddocPbSBHNLFRZWfZaaktWmA/dqO2W1bWhHgvlVzb7TktmZJu+4pS9PndXbHnrq8PZ6uXfbrddsLzfGG1/9zOc+y8c/9peT0f9SMvhXv/JxtmycVEdPXvznj+5b+CcvHTqlXnfNPKRjfOxrHn59lf/nr1/kpqsD5pcbLDcrLDdLLDc9llualTasNFNWWgnL7YTFJpxdEehynzuvXea73xixfabKaqfO/HKZhWWfxaZguekkwkrb0OoZWqGl20+YrMdsWWcAQeBZzs17CBmwdUaxfYNlw0yXuZWQfUdr3LzTUimv8PKxCWrViCjymBw39PpwzZY+f/Rgg92bE8LQMjUmidMetVLAK6f6lL0qr9mVsP9ExNySz8bJgO3rYctshFIx5xbB9yxCWLauSxivSdq9gE7Xo9X1WG4plldhqWlYbqYsNlMuNWGpn7JlY4fvvnuRO/doSl6di4t1FldKLK5qlluClaZhtR2z0k5ZbVuWOnCpI5lvGm7Zs8D/94daVLz1fOz+MpFY5e03ewS13elSb8cvzGzc+PPNpYX0u9537zcbOpc9/lIB/Nl9B7CiUq6II1vmzh384KFj8//yvkcu8txJiRf0uWaT5NCpKqebhuu2zfHLH17kxqvKzK+Ms7RaYaVVYrnlsdLSrLSg2TasthNW2gnLLctcU3ChY0F0uPeuJu98reGq9SWiqMJKs8Rqx6fZVqx0BO2uoB9aosSSpqCkJfCgHFgadcvMRIz2+hy/GPHSsQCTVHn7bRHaW+W5g2NsWw9fejrhrusC5ps9SlqRpDET45DEHtpLWFqq8PqbWnzpiRrb18OzR0M8KrzttYZE9HjpeMrJcyW09Fk3rhmvCsqBwPcFSkBiIIot/QjaXctqx9DuGla7hqWOpZembN3U5Z23N7n3dRGYGkurY8wvl1nKyaAJq+2UZidxzN2xLHfhYkux0Eq5Zdccv/ThRXZvrDG3NM6Bsyl7tjbxZYUnX57g/OpWRGn2n95y0+4/efMtG88sN8Pe7Ma932woDR5/aQD+7Isn2TC70X/upX0/3Gs+92sT8mnx0pGqfOW44OJiwlwTOiFYYKknudBOeO3Vc/yrH1vipqtLLK42WFqtstIKWG37rLQ1q21Bs21pdlJW2wnNjmGlY5lvCy42DeONLt92S5s79iRsXaeolz1a7RKBJwFFlEiMERgL3T4gDOO1PkfPW4yNuP/ZKmG3zNUbfe68vktsVnn4+Qav2elx9FKH5kqd26/v8tXnAtZNWA6etvyt97U4eCpg3YTkgecVd16jWO62OHF2gtfsinj4pR5JWOGOvT47NvfpJR2+8pyCVHD8nKZe0WgB3Z7EWEFqLHECSIP2Dc2OpVqL2bw+5HXXdPm2mxMmqyXmlsdYWi2z0nLnZqUlaHag2U5odhKanZRm17LclVxqCxbbCbftXuBf/tgCN2wrsbDaoN0tYa2k2/eYWy5xft5j/9GEYyvSfPi7r7N337r3J2emb/zoavNCNDm785sNKeAvCcDnV6zs9TrvfuTxT1ytUvWRP/rsQ95Nuztcu2WCE+fqHDvjEhOtrqUTClp9wUJPcqGZcMc18/zijy1w8w6f1dYYCys1mp0Sq22f1Y6m2VY0u9DuWFrdhFYnpdMzNLuWhY5goQNxGnLDzh6zEymdruUdt4dsmzUkqURLSxTD1/eVODNfYv14wsvHS2Aq7NmkuGm3ISh1ee5ol4XFKtduq1JvrPDEfo9bd5ZY6q6yslJndtby9EHF9765wzMHNZtmPBY7TVaWJ7jpmi5PvJwyUW5w7dUd5ptNnj7QoKyr3LLbsmtLH2SHfScFMxMxcwsxD+/z6McKKSE1lm3rI77t9oh2R7Fh3HDTToiiSibfAlY7Hq2uotmRtDrQ6qa0Ointbkqra1jtWpZ7kvMtQbMXcueuBX7+R1e4Zae7OVqdMu1uQKevaXY8FlY0R85YTsy1uXr7Cjds86mOvyUuVZJ/+I63fecx36t+XojAfLOx9U3PZJ640KHVaf3Awrln/m1/5ehE2Tap63HufzJgaQU2TQpqFU2SWAQGpQxKWtdwIDXPHFnHz/y25n13LvOhNy+zfWPEpaU6gV+mHPhUAo9qWdMuS2o9j7GqpttP6fRS1oWGXmhp9wOWF0qcO2uJEsP5SwlBYAGBryxaCro9hcAj6Wpu3CbYscGyZWOXMG1z3zOKQ8fGeevNATdds8Lv32fxRYVtG7vsf0KxsaGYqncpqTJR7DHfhmpJs2md4MVDETftKvPG1yzye1/o4Xs13nKbxQu6fO3piC89VeXAyTJXbaiwbX3K9HjE9qmY67alKGXQygKWShAw3QiIYo921+flox6dvqbbU3T6kk4POn1Lp+u+e7uX0ulZWj3Lag8Wuoq5FUtlrMlPvX2B77gz5IarqlxcrNPslBy4ex6tnqbZcTcKJLzxxoRb91Q4cbbBxz/7nHfNzvq/rVafW37jXTf/fWtXfk+I8f99AW5tBxA/+snPPfOLzz73hYk3XrNIrz/GdTs09WqFflew6gs8T1ApKSwWKSVK5CBP8aVk/9FpXjhS5eiFed73ug6v29unUauz3KxQbZWo93w6XU07u9i9vqYbavqhpR8ZotgSx5YkdUeU+FgDUgk8LSj5gkZNMF6D2SnDpnVdpsabfPk5eOQFD2nGeOvNHjfuafPYgZioX+fOGwXNXo/5pSp37DJMNbqUdUA/USy0YpQR3LhLU6mFPH+4xBtuGuP2G9o8f1iBHePmvT4/8q5lvvpixAPPVDl4psSWacXsRJnxWoWxGpQD8LRFSTAWDp4UpKkgTgRRAmGM+45hSi809ENDt2/ohoZOD1ohLHQk820ITZ97XrPMu1/X5K+9xZAkdS4tVml1SrR7Pp2eszM7PUWn55ovxqqKkh7jxcOKMxcNSRTz0NOLzDQ+P7F+0v7/pje+UV9a6P/27HTpfz+An7+4ysV58SNLF7/0i7L18ExFLXP1llXOXiqzftrD9zT9SJAYiGOJKQHCIqVBSVDKopXFU4ayJ1jslvnjBzfxtRda3HXdKt93zyrXbe8w2aiwtFqh3Qvo9rwM2ModkSCMJXEiSBK31LvaLRdUag0lHyplw0QtZuNMl4QOR8/HfOLhEifOVmkEZW7dq7nj+hZPH2ly/5N1bttZYsv6Ln/0oECJgHotZrUTYiwoAdP1Lq22j0nKvPuuef74SxV2zJV4521doniJh1+aJE5LvHbvDO+8tcXOzU2+9nyX/Wcr7Dvps2lCMlEXVAKB77mbUAoQwmIsGGOJk+xmjS1h7G7kfgS9CNp9wUooWG6D0H1es3uV7/u2Ve7amzJZL7PSqtBs55LEo9MbrgTdUNLrQ5y4f/vEeUkYpaw0Y1a7lrMrCSfOd/jlX79/5j3vin7x/e+6x6bx6u8or/G/B8BP7P9tfv/+dXzx/vt/cLLa+8gzz+2f6oQLaC/E0z0mx3p0+x5SQLuXgVAJhJBIqZEyRUmRLc8GT1kCbSlrwUpfsdQc55Nfr/LUyx3uvGGV73vLKq/Z0WQyLZMkAd1+iU7PoxdqolgRJ85LT43AWIHAIoUl8A2VUkLgR/heyPmlkC88Kzl2zufkuXGUCdix3uea7Yqb97RQwQIvHa+xsVHh2qtgdnqF5Vad6zZKEmP58jMBYVfSqCa87bV9Pv9wzJlLNXZf7XFxtc8rJzw2rxvnhu0LPLa/zROvCMLIZ8/2CfZsDtizqc3xi8scOw/PHKpw9ESVihYEWlINLCUPpHRBlbXuZk1SiBKIUjGIXVoxRCbB2D637Gzxfd/W4q7rUtZPBPT7Yyw1S7Q7AZ2+T7en6fQV3b6iFwp6fUkvdH2j/Sglig1hZOj2U5ZbloW2ILQpUxNtZsa6zJ18dObPPrXykV3bdWKf5Pft7Va0+9ix8v+60O9/KcD/3i/+LtuvP8EH4/SvHTs+/+/On1lseAhOnZ3g0IUevo74obfH1CsxaSqQEjwl8ZRAKYFWKns2aJXiaYGvDb5nCTxLxU9plATt0GOlNc6nHqnz4L4+68a7fPDuJns29+n3Oly73bJ5VhHGHmmqSI3E5uCWBk+nnJ6znLwkWO0ZPvdYhfOL49jIY7yk2DCp2TqruWojXLujhZGL/Obnqywvj3HbHs21O5p8bZ9AJB4z45JqJaEb+0grwUqU9mn2BXPLgr22wt03t3n8+TIbpnxuu3aCv/6uRT76pTbPHK7S6XssrdbYvqHM7vVdXrurzXe+oc2F5WU+91jAUjfg9EWP8+d9PCWQUiIQGGtJDcTGkiaG8cmY6/d2CcOYPZtDPnB3yMyYYqIWEMclLi6U6PZ8uqFb5XoDYEsH7lDQD3ErQZgSRoZ+7GRPp2/o9AXNvuBH3tvkO+7QHD45yfOH+jz94pNT49Oz//o733/wn94FP4LtP/K/EnP/ywD+qT/9JN/5/u8Qf/8X/ui7ZHL4t96w81hl15ZJSn4FzwvYsUly3bYOqREEfkq1nIAAJRVKS1c2qgQ6f9YCT6f4WuB7hpJnKceWSmQZK6WMlwXdSNKOqpw8V+VffWwCTIJIEm6+vsv22YgkAWMN1rokjhQCqQTa8zl8xufgsRLVkqbmS6YqgulJycyEZsO0Yuv6lN1bV0nFEv/+03VOn2lw2y6PPdtSekmbJ18KaJQ9JscsjVpEpeykkDGSZl+x3LEsNVOanTKvv3aVZw92OXRG0aiXeO3eBj/27iV+9TPw/LEqnZ5lta2ZW64zO1VhZrzP1sk+/9d3dalXmuw/CYfPSjzPopRFCANY9z8LSQLbZlPuvC4hjT3iJMDaCv3I49KiTy90K1o/UgP51osE/VDQjxxrh5Fj7TA0A3CHkaUXGroR9GLwFBw+NsaXTJWlFY9z8zGn5g2l1aPTb53/z9MXj121fePOH330i3/+afvt77n3rw7A/+Nvf5yDF+rqTz7xh/duKl/6/d/49GLpwFHN/+eD89y0u86G6SoCy8xkiSRJ8b2ESsktY1JYlFKZ3pZ42mlO31OEniSMDEGUEsaWcmwIY0MUWeoJhLEhTCBKBP1YEqYBcVri0LEq+w65FjcHbaeNPQm+cjUftQCuXQ/1MoxVJeM1xWRDMzMBW2ZD1k+vEttl/v2nxzh+YoybrlJctUmyY9MKD72SMLc0xs3bJeN1Q8nvEcgAqwRJKhHWkqQRK50Sc0seN+0pc+OuNo89X2LduKBSqnHTLsNP3bvEv/uM4ZXzNVY7htW2YmFFM9WoMl4vM14fo16Jma7GbL0pIvASPJ2gVIoULpiwuJsqjhXzC5o4UcSJIooVYZw9R5IwloSRpB9Jwki4ADUShJEljNx5DaOUKMo1vSWMDb0IepELagNlOXi0yuI8QMTFVZiY7PI3711mvdfn/ofHfvPPPvUHvbe/fubTzz3xx+ktd37oWx/gh174GLPTnnr+wNwHXnzl0u+l/QOlm7fXeeLoOP/u00v89IfmuGZ7mTD2MQZAIKUdaGEtLZ6yeErhaYsXSXxPuIvgCUJfEcUO6HFsiZLUuSJJ4UghSS1pakgNTm8bBuAWApQELcHzINCCUiCoBJJqRTFWkYyPCWYmErbOdqlVV/n04xEPvzTB6mKd67cotq732Lm5TypW+fIzFaqeZnpcUav0eek4ruN+s6UbKm7YGXP9DsuliykLKz69foW339rm0f09jp5XVMuSwK9z3VWGn//BJb7+So/Pf32KpZZl60zKSlPTqCvGqh61ike1bCkFhsA3BDpFKye1pHTXwFpcwsoIEiNJUkGSCOJEEiWCOJaEsQNpFAui2BJFEMZOZ0cF4gjj/HAuTS8WLnhNBGEqMAhW5iz9xLBptsVPfecyN26r8/QrMzz18rHSzdfyB7/zGftDl1Zrf/pvfu1j6T/4yb/2rQ3wj34xlb5ufmjj+Jn/VOZSaaEzyXjNsmc25alXpvj5P4D33r7C++9uUvadBgwjD608tDZonaI9jedpgkjR9xzThJ4k8gVRLNzFiRVxAlEsnYOQDG2/JDWkqXMXUps5JZlbIoTT+ko62eNrQeBLSoGkWhbUK5ZGzbBuImR6vE1iV/nko5KPfmmSmVKJ67cItqz32LbBsHX9Cp9+0rK8XGLPrGK8DrVKzNwpyfxKgL8dwlgwPSZpNODoSctKy3BpscTObSXefHObLzxSYrIGge+jZIPrdgh+/J3zeHKeP39snAPnS6xrxcw0EsaqilpZUSlLyoEm8CHwQGvnMEkBUhRAjruxUwNpKkhSMqBDnFqiBOI4daQQG6L8OTaZ7Zi7MpkFmQh6saCbCNqJpJdYwjClXOrz3W9a4r23h9ywrc7h05MsN32maooHHj9TuvOWzm99zz1bdL3qf/wfOJ751gT48tmPE8fmB//DH1z815/88sn6h77NcPv1ihcOl+hHIc2+4fH9MzzxksdC6yI/ee8qk2MeYVSm1Q3wdIKn/Uxrp0Sexo+cNIlil0p3jCMcE2WslCQQp5CmzkkwxgVcxti8hzMDtwO4C1wFnnYAKQVQKRlq5YRGLWG60WNqfJXHD0X8wf1lDp9ssG3MY8csbJr12bQOdm9p0U1aPH2wTll5TI8rGjVo1ELGxxJ8XyOEu7l6oc9yy9lqzU7C/IrPltkat++Z5/5nuhw+X6cSxHjKR4gxdmxUfP9bFrll9zx/cH+Np19usNTRzNQTGpWESklSLikCTxB4Es9zsYpSZPahQ7nF9bAawwDoSWqy1S2zFhNDkjpwJzFEiR0esXNl+omgHwt6iaCdCNoJ9PoJJg6ZrLT5G9+xxN//QIRJJzl8epxzcwFnLhpePJYwOd1jy8Sx+rMvlf79wZUb/H/+Hz7/0Z//qXd/6wH8+JkWy1b9aNr66C/euPXM5JmzYzx1cImf+s5LCNbT7irOzKVM1QXnmg3+zZ9KDp5c4D13dbj7xhbrpvq02mX6YYLveQS+RxhpAt/ZeznA41gSJW7ZjZPM007JrD8y5pYYyxDcLkmZMTdo5RImvmcp+YZyKaFWShivh6yfajHX7PJrn/P48rMTLK9UuXpasGVGsHHGZ9OMYPuGPtpf5Y8f1pw4W2XXOsl4TTJWTZEy5PyCJdASKcBaQRRrts60eIaUVlex0rLMLZfZtanEd97d5E+/5nNqLsDTMUJ4GFslTiQ3b19h6/e0+PLzXf7oyxM8d6rKxnHBVDWlWkop+YLAE/iei1W0wgXOUgxqMizuJjMW57SkDvA5yJPUSToHdohSV+sS5cmjRNBLoJNIB+zIkHQjNk21eONNq7z3DV3eehNgayyulglDxcVFeOFYyonFLu+6O+TS/CSff+LS5M23bfjIz/2DD6if+1srv/0/K+P5PwXgcbiC9sVf//wXH/vFhx49PFMrrfC2O8o8tD/kd+/r8Z47z3KhOcNCy8cTUC9JlvtjfOIhzcP7W9y0u8X33OOq4CYbAb1+QC/0CTyPKPGIYj0IlJJEEaeSJJHEqSBJJGkqSI0Yam0jGKgS65hbCpcsUlmyyPcMgZ9SDhJq5ZCpRode3ONrL1k+8dAYT7/cYNz3uG6jZf2EZN2kz4ZpyaZ1EVdtXGH/qR6fe3SaMaWZHhPUq4J6JabZTfnSkyVqvkUIB6xeqHn3nSFffMrVxDQ7hvkVzaaZGu97XYenD7U5eNSnGiQoKRzITYV+5LT+97+5ya718/zx11s8caDBmZUys3XBWMlS8Q0lbfA90EqgpLuRHZNDXn5kMqlmzHCFSzKgO4KAOBXEaQbsVNBPnBzppLiYJ4qolrt891uX+dBbWty8yzAz7tHpVml1ylgjmWz0mZ1u00osf/09SyDK3Pdcwt6dK2yrvzjz3LPbfnHbztebS4ut352d+saPqviGAnxxcZXxWofYyB9YOfPQL/cWHpk8dz7h5bM1pBex0C6z2q3x5RcM7ZbCt84lqWmwJUFHVznX8rnwVIWn9nf40xvafODNPd52Z5+Jhk8UBoSJRxR7xIkmzoCepIokzRI26RDgxmbMbYaJBSFsFlS6Og6tDb6XEvgx5SCiVu6R0uOrz0s+9mCDl0+OIeKAbeOW9Q3LVEMxPeEzOyXZMB2zZbbF2YU2v/75KklYZtMmQaOmqVehXokRXkSrV6VRswghsBbiRDIRKBKT0I592t2UlZbi/EKZvVfV+PB7VvnIxwNOL1TRKs5uDE2SlOhHktnJgJuvbnH9VR1eOX2eTzxU5v7nGlxolqkGipoPVc/ia4unQEuXzhditLrOANa4my41gtRCkgrnn6eCKHVJol4q6KXQSyxJkkmRUo+337PKB+9pc9d1CWNlTRRXWFktEcY+UexhgJIfc9eNPa7f2WPrbEyzm3Dr7j6eqrPvYMKvffSrM3e8Lv3l73rX7clLB87+511XNQhK3zigf0MB3uv10LL63vsfefZX/+yLX65fv2WOenmShh8w3/bRqWDch+ayoKwh0Ln/7AIiXwo60qebaOajEn/+VJWHX+7y2gc6/O33t7lmS4uZhqJe0USxT5R4JMkQ5GkOcCMxVmKtkwR2EFCCFCZL8xu0Tgj8BE9FtHoxC62YX/l0iZPz4zx/sIE1PpNlwcyUZWpMMFlXTDY81k1KZicTNk53mWys8OUXDM8daHD9JsF4TVKrSOoVQ7UcIbyQINBo5d7fWkhTSS/U9PoxiRG0e4Z2x7Lc8ri0VOeO3R1u37vKHz9Qorys0DJ2gLSaJPWJYtfjOdUoccuODrdc3eGZN17g9ILkD+5vML9a4dxSgK8kVU/g5zJMuvM8IPJcquCYPLFZaYQRhCn0E4iMhTSBJEaqkA3jPa7f6q7Hrdek1MuaJKnSbPuEsU8ca6LEI07c9UgAT5eZqvu0O4AV1ALN4kqVfuJRKZ1k1rs0uXxJ/upVW+9Y6fe7n/tGYvIbBvCk+xKqPKse+PLHrz64/1i9uRjz+NIEnhLMNCy1ksuCRakY1HzkQU9qwEstQSooK0FPC7o6oJd6LEVl7n9ujMcP9KgGIT/0jiabJhO2behxx7VttHAtYkI4ueKykq5W2toCc2MR0qKE88wtCciEV05Knj2k+cLTNV45UyNKKtS0YrpsmahaxivW+eB1zcSYZrIhmJ1I2DDdY/30Cg+/HPKbX5hhfUMzXYd6VVGvCmqVhHIQ8vgRRT/SeFUHKmsFUSIpacVrdvV46qWGK3zqpay2PBZXA+YWx/nwO+c4t7jEUy9O40lAxBjcAKMo9ggjSaenGa+VaNSr3L6ryxuv7/I9b1rg0FnDF58u8fShMkdOVEmEJgwV3VihhEQIsSbwzHIC1pAYizUGT6SM+RElYm6/qcP29X02TcV839tCyr6kWvaIogrNtmPrJFEZ4Tif3V0LV/4A7nunqSBKFL1Q0esrphrw5ulx2quG+77yRL0+uXD193/vd6uHnjycvumO3X95AP7cC4c5eWGLf3HuiR+2tP71ns0XKcsKc8vQ7btEQS90R5h51EluV2WWlafATy1BaimlgorOWCT16KUe3bREu53yy388jk1i1k332bulz+RYwgfe3GPLTEQci0xvSygwN5n+lNIgpOBTXy+z/3gVoTWnL1Q4P1ehVFaMBYJG1VIvGeolqJUFYxVFvaYYr2kmGzDVSFg32WfjTIvUrvKpR+v0OlV2brLUK4paRVIrG2qlBM+L+PJTJcKuxJtx3aK5RKmWFW9/bY9HXjB0Qkmnl9LqalbbmktLFa7ZXuMDd7V4/pUKp5drKGmAONPLHnGqCGOXmHE12j61coVqOeSaTX1u293n7HyTUxdX0V7KvhOaP32oglDKgVvI0YtoDWDAWuIoZeu6hA++ucdUPWX3Vsu6SUgTjzCqkSQeKy2PJFbE6XAFzYEdp5I0q/ExWSyUmwD9SNLtK7p9QT8S9PqaS0sJpxcu8N53rPvXRw490X3DjTd+9Nzpg9Gmrdf85QB40jtBqi/uOn3qzK/94WeflB+4p8+dN9Q5fKbG4orrkWx3Etq9lF6YEsUQJy6QSUwWvZvs51Tgp5aSsS7IMZYoFYRGEqaSyHjEBhY6dR7ab7CkfPZpN7IBa7Ijz+JlFpkQCKFcwZZSJLFGGo2nJbUAtk9bqp6hEhgqAVQCQbUsqZWdHBqrScbrMDmWMD0esmG6TcoKv/JnJR57aYYdkzBeydi7IqmVEyrliGqlR7lcIVASJTMNjpMDcezR7wl6YUo7VHT6hnbPuJa5qs+5uTFevzfkp75rjn/7p5ozqwFCGKyNMaklTjyiWNIPPTo9Ra2nqZZ8KuUSlaBCKYiplSNu3hnhezG37kz4vnu6aJVkSSCDEHZUlGeSzhiJEJLAU4BPP9QsrWhXt5PmMU8mCxPpgvxUkWSgdocYPmf2bRhJuqGg1ZW0Oq4HdLmZcui8Zfu2LlXzdXnkcPnXDp9MH8V0X/5GYPN/GOA/+68/yeef0GXil+8t2VfEnddZDG02zHSAdZwrVQmWfLTSCClQUhCq1CUVEhexp4XoPa+CS40gMXYY2RunD90hiIwksZLUaGITkGa2V/ExyFIK0EK4TKWCUtlS0paSSgk8CDSUfEs5EJR9SaUsqZS0A3hV0KgZJuoJk42QmYkOG2aW+M0vGP7o/nVsbiimaoZ6VVGrKKoVqJRTauWYi0uG4xcDSr4rv4W80k/QjzTbZw2zU31afZ9e32YsLllta2rlErVKg++7Z54TFy/xW5/biJYaiyE1KYmxxIkmjBS9yBVFdUuSSl9TDjzKQUqz7WIM30vxdIrnpWjpGiWkdOl8kR2udEUAIgO5oGmyKkvj4po0lRgjScww3smBnL9OU+dmDZ9dfiKMJf1Q0O4JVtspy82E+ZWEs4uCs80+u3SXJw/UaNQeF+/7toV7b7111/GFk3/Qm97+/d9cgH/XPdo/ff7SP/rY5+f/0fFzPblts2H/yYCjZ2O+5y1zXFsbR4gJosQnShTG2IFc0IrsBLnG3lyy5KyeFmWMscM0e6bbnZcrBoFSUXMDWSbPBVZaGrQkq2kBTwk8bZ1vrAWlQFLyJeVAUS4pamVJrWIZq6Y0agkT9ZCp8S5b1i3x9JGQP/76BsZLAetqhnpFOHCXJdWSoVpKqFVCnj4M+w5VuHraZrp3mDbvhYpbd1t2bunxzMsNuqGl10/p9HQGco9KqUy51OC737DMviPzPHVwFqzCmNQRQWJJYjuoJ+mFmkrfUi4pSr4h8D0CPyXIMsKediXGeVeUlK4cAuFKI3JaGAbnTkOb3JEyuf1asGIz1yrJZMjwZwrs7ZJxvVDQ7VvanZRLSwmvnLNYv8tPfMciuzYkdPqCq9b3ZL+z/M8/+flVvxuP/QIQfdMAbu2SjKPezy7Nf+Lvz1aX/G69xsEjKUvNOk++HHNivsW7b2vT8EtI4aOkS0LYzItWqUWnQ8ZOjcUUXqd5xs3mmTeLyTJxebLCWksh8z6y4uap6jyho2SWsVQUirZc9i/wFaVAUQ4ElbKgVrbUKylj1YRGLWRyrMeG6RWeOtzjZ39vHWfONbhqytCoQL2sqJYV1RJUSynlUozv9Wn2LUoqPGWRcvjJnCaVxIlPvRzTTQzdrM66209pdyXNsqLSDigFNbbNxvz8Dzf5F78vefLgOiwKYw1pakjShCgxRLGiHyl6gaQcKkq+JPAtga8ItMHznN+vlXUAVw7gKpMpQtjRBt0stW8zErFZLUuaAT41w2dHTjJ7FiMAzxk8Tpwsza9hbAyvuWaVd9ze4003aCR1FpbLnLhQ5dFnV/2emPuHP/Ij3+adubT6T7fMNv670/n/3QDvtLt02uYX9u/74t89dGJ/6Y7ra9QrAVN1wUIzYbHlceDgBEtzEddt9RivOVBKKfC0dABXjql1ztCpxRg7SCObgUcL1ljXRZ6VgBYP1gA8k93ZSuEkimuScHaZzlrRPC0JfDcAqBS4kQzlwFItGWqVlHolZqwWMVHvsWF6lacOdfkXH53i8JkJtk44h6VWllQr0rF32VIppVRKMXEa8YcP1JBK4UmLEkOb0Nhcn3p8/1tX+MpzEe0ooJsBvNNTtDuKZqAp+QGBV2f35oR/+SNL/LOPCp54eR3GSlLj0upx4grNwsgQlly5axAISp4g8B2p+NoOMrZaGaRy3rgU1jVK5AAfpjyBjERwuQTntmSBvGGYTLNgBsk1BgBPM0/d1by4ZykEjbrHmzfDdVf7zI4HnL5QYnE1YGHZ48wlw4FTIbPrXio9/+xDf+9db3unaLXaP1Ov1/7XAnxh7iWsMbc//9zz5a+9YPiJ966ybcMMBp8gkDQqCf3IYmyZbk8ReBZPC5SUCM8xmjGWVNmMud1rM6iVGLZfOaALV0eRgzo/8Ws+Vw7wvAYjz+Tl7K11Xnci8Tzp6jd8QSlwM08qQUq17MBdr0Y06j2mG02ePtTlZ393gldOT7FpXDBZLUiTkqZacvUr5VJCOYjwvJDzS+OuWUOazJYbBplpKkkSxfpxS5LEtOKS65QJDb1+SrsvKXcVJd/D90p4eow9mxL+5V9f4B//Djx1YIbUSAfw1BInacbkhjAwlCJJ31cDCeZ54Gkn0VydikVLMpkCInu+AsadXCFLCiEGySGTJYfybHGaFpJGKaMSM6sJQmRE4vssr06ytOymezW7gsUVw5lLEUu9Pvde1+bAwRfKV12183a51vH5nw3wl1/4EhN1Kr/621/1jxxPaDXrPHsoYfeGlKmGQkk3Di2Knd+dywGl3MkzVmSNsmLI2joHc1GG2AHQbS5H8tev8tmkGBZRSelWjBzcSsqsUSKXJ1DyIPAN5ZKlHDj9XCnH1CsRjWqPqfEmzx3t889+e5yXTk+zoaGYrhrGyoJaSVIpKSplQbnkbg6X6o946qCg0/cpKbKbzGnwvAkhNYI40VRLijuubfP0K3W6sZMpvTCl21O0A0XgK3zPz/Rzg2s2G37px+b56d+AJw7OEBtJbEzWLD3swQx9SeAbx97esI5eq/wgkylDGSezLO+VQJ4nhWwO8Azw6cB5YXTlLYB7cD2Nk0MRsNwStHsaa93wom7fDWlqdg237oTx6gRb4pAXn/qyP7PtnsrH//SL3e/5wLf/zwf4/Y+f5pLZ0jjz/B//+u4t3TdMVgTdfsDkmEdqoVFNUUJRDhRR7L7gkFFzRsiCQwNGiSuzdgHQZgDsYVMwmfYeXAzhCoqEzMCdFRmpAcBBZRWDngbfw3UC+VmBVZBSzuRFrRwyVusxXmvx4rGQf/bb4+w7NcNsQzNdMYyVoVoSVMuKSllRGbB3SilIqFX6PLzPZ7VZYnx8mCbPAWMynRqniplJxT03dnj4WeO6aCJTALmk5ElKnsbTPlqXkdJwzWbLL/7YPD/9G5YnDs8QG02cVQC6slfH5EEsB9WFvpZonRVhSYHS+blh8PnymzCXKiKvSmOYEFp7mMKzMYXnwco7JK1BRjkRRJF7T2PcTdkL3bwaJSzziyXuf1LT6qb45dYb3rH+2O986P3f8RMfsodXhfhvSwD9NwNcJCfxxfmf/tyjRz60d8NBbtwToEWJfujR62u00mhtCfpuP8kkzYOU4QW2hZNhM/mRDmQIA/YeCSTXMnd2tvKM3EB7y7yCbqi784pBrXD1Gdriea6xuOQbSn5KuZRQKcVUSyG1Sp+JsSbPHwn5R78xxYsn1jHT8JippIxVbAbujL1LknLg2L8UJFSCiMSEtKMAoSRezuADDS6yZTwrEIs9qn7flQtEJcZzkPdTur5j8MCXeFrj6XwDWst12ywf+Yk5/u//ZHji0DpiowlTQZSajMUFpdgQeBbfc72rOos7dNbjqqTMzk/WlZ8/FwqziqQ0YPQ14B6QUIGYRsHt2Lt4/fK/kxpLFBt6kaXXt3Qjy6WmpXsmQuiYHZvmqfvqQ2dOXnU8SeN//D+VwZcWzjMxtWHrFz77K9dfOLPAY89McsveFm+8YYlbrlb0wjqr7RKe9vC0JYyy8lXjghBjhxfYLVnZa1tc7oYMP2SKYVbSFtfMnLWLQWW+3GYdOioLprTOOoOyIqS8erDkpZlujimXQsbrXcaqbZ46mPAzvznFCyfWMT2mmS6njJUstQzc5ZKzE3Nwl4OUkp9Qr0YcPGX5+vNVfCnxlMmCuKFHkQfOcapIjObum2OuvqrD8TNlpivQj1xLWD9M6fYzFtYKrb3B0CMhLNduhV/68UX+8W8YHn1lmn5cdsmwxFLJargDDwdyna9eZtDbKlU6WOGUFAWAiwLIuUyvDEFuRwFeWGlzgNsc6AWQ56W6SdZpFUaWXmTp9GGxK2klCbfsbnL3DQm3XB2wuNzkcw/sv/7DP/DjW0+dOnt627bN33iAX7x4AavGtp06+uT/21w1710/JlCmxv6DZR58vsO/+OsXedP1xvU3SleG2teunSw3/J21ZAfz/lzQKAq23zCAKS6JlzGI45aMwdeAW1ikym1BBwatMtbWFl8bPM8QeIbATyj5CaUgolIKmRjrstLu8sjL8Esfm2X/sSmmMnA3ypZaWVAtiYFX7pwX49jbdwAvByFRmtLvlSgpd5NJUVj6yTWryAJN7bS8Dt2FjkUB4AbfT/E9jedJN1VAegOAI+CG7YJf+okVfvnjCU8cmuRCs06/KmmkllpiKWUTBwLPZt5/7qTYAXvnUiUH+ODzZh+6iPMBA2cXpVhTNAD7GiYv3gR540me3Ms7hTp9WO1Lzq3CG29a5l98f8Ly6jpOnStzbi5Fl9vvfeixp9N77r7x783Nz51aN7PuGw3wk2ivfNvFs/vubQTP887XNzh10Vk7L50psdpJqVe6tHs+xgLCoqSHVsr5oIO6BAY2k0vS2NHXBSlSBHh+iouqML8IbtxDzt42kye2MBzIlcV62mRjJtIBuAM/A/dEh4WVHr/4hxU+9+Q0i51xpsck06UM3CWnuytZYFkOJJXAZgzutHcpiICIB1/0WYl9JgNG6rERoytUmrrmh3qgefNNXZ46HNGOA8ayjvV+ZPBDV6vuawdwrdx5FdIlaLCwZ7Pk3/7tFl98qscv/O46zi2O02toGr6glhgqCQSxG73sKzfQyMsDTSkGQXD+XAzUizemEINekcH1YQ24Bww+wuwMVmpjhkm9OLGESTaMKBQs9iXdfsR0rc++wzMcOF5mbtlyas7Si16hMT1x7+ZN1T/sdLqnvqEMHoZdfL+88+mnH/87H//8QWJreOftc9xxvSJOAt7++jYbppto7VGv9kiNwlpX8DToik9soQlBDGymvF7bYoc21FrWLsqS7ETnzJKnm3MXQOUAV65hWWfZO0+7eSe+57r2S35M4MfUyj207vLwvpTf+VKdLzw2Q2TqzNQFUyUnS5wFmPvkKjtExtxF9o7ROuTxAw26kWZ9Jf88axk8CzSNJE4UJU9x+zU9EuMA3osF/dwNidzsEU/nFqfKgOiyjw5sgqmG4ENv6lALLvC7X+rxyIFJLsVluiVJPbFUtXUg11kcomwWl9gM5Pk5FMPacQmSIYuv3VFwIFXyERX5d1vjeg0kqR1mpZMUV28eC7oRNCPJSt8S2z5feNrn6UMSm0YYE7FnW4d7b+kzJp+j29rzd2655XUvdDrdo9Vq5X8c4CY8xm987EGmp+objh87+sZz53pcajU4di5iajzCmBghFVas58ZtXf7Ge7pUS96gXFJkWTIl5RDcRgxdlFxrkwO9COyC9VC0r4RdI03yrByF0W4mq/nOwK1cLUbgxfh+TMmLqFT6+H6Xj92v+Vf/eYbjCxN4QYnZmmAiSKkHlmoA1azDvhy4bGcpSwi5+pU0WwmcPFlspXQiH18pfGkHASaFr5KXF6RZHUeUeJS9PrONHqvdGr1YDEYz+J7B89LM5lOZ3akcwEcCV1f5+N67Oty6d4Ff+oM+f/TlaZaTKt3Ao+pJ6trV4AQafMWgGULnSZ9s5ZMDqTJMABVJZVSsFIHOZSuwWSNbTFZPlGbNFK4zX7LSF5T9Fv/wgxe5dmuKoYsQrt5/tqEYKzU4fSEhbB5447nj/Q1x1Dr67MtnuPW6Lf9jAI9iw0/80M3bzp44/JtLpw9x49VlLi1ZLiwpzp0t0e5begms9iT7D7e5eec53npzSLtXwtOpmxglLCpj8GFtgxgEmTb3VweSRKyRJjm47ZBNsuybLAJcWpQ0yBHmTjOQJ/jaSZLADwm8HqfmEn7ri1U+8+gkJ+bGqVc8JkowHqTUApul3nNwywzccpAUKmXaO/DdjVOvhnz6cc3R02VK2QSuQbsYQ5QPxjjYrCgp0ezZCu+6tc3v3DdJp6Kpx5Z+bAmiLG5QBq2lcz8UBZB7BUp1q8KWKcnPfG+X67ef4ze+MMGJS2MsJ2W6nqaqBJUM6L50yTcvc5kGq19+XnP7EKfPh5lOe7lPnhNTXjpRZHIKFqLNi+tE1hYHkYF+z/KO21b5vnsstVKDds8jjDWdbsDiapl9Z33OXbI8duAYb3373t/cs+fGd8h2+78oVf5CgPf7MUGg+dwDz216+eChHWOc5c2vHWP/0SpjVclKK6HTN0QxtHoQixJxWiFJ3TfPgSYyAJoReVLouMnZumgjZReMnLFzkIshsN1zVjSUgdu5Jjl7p3g6cZ07OiEIQnwd0k4jfu2TPr/7xVnOLzUwqszEmGLCt4z5hkrG3JVB+l5mdSqZNMm88wG4fZe9DOOIo+cCOlHAeJC5OHnSKXcl8iysLdSkxJp6VbN9U4QK+rSjGj1fUI6dw+Bn8srLJIrOXQ+hXiV4VUyPdfnwe7vce/clfveLLX7rU5Ms9qr0dImSVlS0oKwsQWIdm0snVbQcljfkWc7LmJwryJW1DgtrmNwMV64ByI1L/ef9sUJUODc3hkmr2VxKN812qSk5O5fy0smIyakFJvzndsyW5aadW+44ZdIIqfz/PoCvLM9Rr1Wnt6/zPvmf//Mhz8oSG75tha3rfeKkRKWsCCPjRg0YN/O6LGeYWw5JU3dStDRO1w3ck5ypzQhrOzkisFf8JLZgB9oBsEfkicyq5FTqAK5TtErxvZiSH+F7Ec1+xOP7JR+7v86nHp2kn9bwfZ9JX9DwDVXfUgksFX8I7lIgCQJJkEkTlxjKnIkM4L7nMp8nL1oeea5CFHsEVXtZgJk/BmnurBQ1ihWep7nn1jZ//NUOh89V6ZXcvJfQs/gJeLHBiwxKSedbS4EUcjjcJwd47rEbSSXQrGv0+L+/u8s1W0L+6P4azx4cY6FXpa98PE9T0oKyhCAfsJTbq9K6fIKgAPLRmpW1xVlFRh9cWygE1msPgcHdXBvGIOyN88R+n0qgSK0gjqEfQauTcnYupFzp8t47FWePH/XWrX/TJ1PdujHstxf+uxl8YmJKnjp5+LZX9j809tpdlrnlBi8errFlnWaqYamWXbrZGBesjNUMvi7T6lhKQVZYr1JkxsZDcIsCuHPmHpUlI4U/rkfHMfkgpWwG5Z5Od1u0Sh3AVTqQI1rHNDsxj70s+L376tz//BjLzRqyXKJWVjQ8S903VDxLxbeUfTLWdsxdDiQlX1HyBSWfrELPZOA2BJ7T30qHHDkH55sll1jJ9O1o4mRYP+P6ILNuFyOJIs26umDn5h4vnUnoxh5hNuPbj8ime6WZRMkTNbC2TmMQvJu8JtvVh3/wnh5ve+0KX3uhze9/uc6zB+sstSs0pU/H1/hK4EtBIHE9nNLtUqfE8CZVIiv7vQKDX16/UrzxhiRmGJUueb1+rWyxERw6mTBWtSjlYrQ4cV1gtbJkz7o65y5qzs8bFnoPj73hLnHbVVftuo+/YHjQXwjwV45eCHpd859arcPVO2/scWFhjCjW+J5FinjgimBBK0Ol5JImOfC0NAhphyHJgKnJevXEmqVt7VkrShNLsUDfyRKTaW6DkqkbiJ+7GTJmoZ3w8HOaLz1W43OPjDHfqiJKJbyaR13DmOc6ecoemeyAsi+yQ2Ylp5nu9gVBzt45wHWC7yeU/AhrYx58PuD0xTJTEwJPmkzHimGjb4Ht7Ei5qaIXemxdJ7jnpi6feTKiE3v0YkHJs/iJY/EwtoVVSg38aoQckSnukMNGBeP89nIQ8sE39fi2W5f47KNtvvhYhYf315hvVugJn56v0Z5CC4EnBZ6UeMJmUsuiEAVpOGofXoHMR1wwmwO7EIdAtjIoF4D2IsvCqpO9Wg61e2pc4HvirCBKIk4vGSgdq77r7bf/pzQ8fQ3Q+28GeLNj6Yf9v/bQw081rt9+lqs3CsZrKZ2+R5LILFiU2TxBp9d8z/nBgZfge8MhkEIMUTworbfF54JNkv3F4jIoCsAWwmR2oEFkANc6xdcxpVJMP0w5fB5OXVB84oEx7nu2zvxKFbwSuu5RUZKaZ6lpQ9mzlD0oeQ7cJc/NJHRlprJwiOzPbQZyMwC577n2tOMXDC+dDMDzsmXeFlL0YgQFxSAszZJgSerGOV+3PWTvpg6HzlfolQSVRBDEllCRWXsmY+/cTcktyKFWGfjsmRVpjMqmD3j0I49yOeQH3x7y7jtW+cpzHf7kqxVOXShx6HyFaDUgCTR9rZFKunQ+oLPnnMkH0oVh8H8Zk6/R4saOSlAhQAs7+L21gji1+H0nax0R2kGAGqXQCgWnVhQt0+J9x/cxO1X+izj61QHearZEnEQ/dfb04cZFAf2kzXXbuqRpCYFHN/Toha51aeCUZHO7tU6d9pbpgMFH7nA7PBV28H/DUyPE8Fnk3SY5awvjRj/IlCBwN1GSplxaggce0hw/V+brT5c5v1Lm+IUqBAGqoilpRVVbqto4F8Fzg/NLnhvX5kCcHzI7VAZwMs2dgdtL3U3sJ9mNFXFyAQ6equDJUXtwIFEY1oMPHIbcSTF5T6PH3q09ds50eflEQjfxqMWCUIOfuJmAqgBwKQVCyhEmh2JSpSCD8r7JVBGnHqHnUy9HfP9bQ+66vsX5lRYPPuNz4mzAV56vcGGpRNrzMFIT+wohpVspsq58SZbxhIFsyQlprbNir/B6CHCBJyBInRvnx9m5w+mOxEAndAM+EQmhjbhxR4trt1iOHj08dfNNP/53OqvnP1JtbLxi+PaqAH/x2c8SJykPPHOeJw7MsHFdnWs2d3njDV32bOowVRdcvVlgjUcYqYEbQjZEPtfJaztF3I7ExXcq3tV5IseuYe6CFFEpXpASp5YTZwUvnVA88HSFl0/6HDhZphUGhFEAno+qewRKUFFQ0YZywQcOdF6nkZfNurrwIJMlvq/wfZndAHaovb3UZRY9p/NLfow1EXPLktAGaC3xpUUXbLY1BD4AeWpH+x2jxEOgmZ6IkKpPJ/boauGcjnhYMKaVGclAytykBsiHHSGwRg6ZvDAYyUvVYPxEN/SZHY/Ysi7m5qtCelGPHzrZ5OVTPg88VeKlkyVOnCkRJwoChZUKhCSVhWzQgL5fRavk/GUv/2WUlQZ0spumYKZiIou0Cdu2dJkZC9mzuc9d10fs2WzZOCV59tDZ6kOPPvUhhPeR/yYGf/HZL9FsttQzL74kTGyp6YClhRJfuTDGI/sjSoRsXt/huh09vu3mHm+4IQLrttOoVRmJMJLU6eyhQ7bGUiicDCdl3PwST1sQTsPHkaXbd4x+6pzk4/cHdGPFiwdKHDsbsNjxCVMftA/KQ9UVvhSUFVSUpaRw48xUVnikHGv7nnBJjyK4PYmfyZLAh8Anc01cytzTBt9LsoxoTLkUMb+S8sATNZrtgPExka1edlD0Ja70dfNKyoEWl4ShYmpS8bY7+nzl2R5nmlV6nnQyRYOXWLw496wzj12mzi6kOOtEDt7DWF14Dwd0P1WkWpF42diH2HNWqhdT9WPuui7h9mtC3vfGPkfOSvYd9OhFij96oMLJSx4ISbenSSOVl29idQ7wV7m+A4CbkWtOklmH2Z+Xqi4hJ2zKm2/v8Zab+ly3I2XrOoGwAWW/Qj8s0e8LsB4XLhwTsxuuU3/+xa8k7/n2t/3XAdxaqNXrv9bvmhumywG3bLduL8UeLHdLNPslnj0xxlNHEj71WJ/Jeg/SiJuu7vPBe7qk2e7A0w3Da66LqZTd9xL8RQ8xGM7T7Ar27dcstSTlkuTpgx6ff7REP1b0Y8XFSz5GaGLrYYQHWiMCjZYSXwlK0lLKgB0oS6CsqwHXmeerh8zt532ZA3CrrEdTDNjb9wy+nxdopQP29v0YpSIeekHxmSdrKF87u21Ef786g+deeDroQlf0+x7vvrPH5x5v8UcPjtFJSlQzHe7lOjzOkzJ20C0khBwAzL2VLGj9AsBNNtZBOyb3tCLRGp2kDugqRSk3SH+8lHDn7oQ7dsdYEfKBN3Xpxy4D+eePBjxz0KccCBZbin0v+7S6MlNJrwLyAapdCr9astx4Y8RMw5AmhiSF77qnzw07EpJYM1HXNKqaKC4TxW4rw/nFgNVOQLPjNrPt9JIbylfVfg3Bh/+rGHx+scX4RK3+2IOf2b1hKlb1QDG3LDh1ISFoplT8lIlQ0I7cXjit0OdYp0aUJBw9H/P5R0IwMTZJGRtPuO2GkFrJuHYla3n1h8gmvgpWO4pnX/JpNRVSSzcTxWrHTELj5gJrkBopJZ4UDszSEkiDLx0QfAW+Gs7ocyAXw4YH7RoB8sbjIrgdw2dltV7O4GnhSAh0jLUR5xd9orBEMCbxs7S3ypbekSxm3tHDML0+BLkkNYoo9hivKTZPRfiiTy8J6CWCsnZDMPMakjyhpWSxvFUO3su9h8ySP6YwBN9klZ1DaZQkWdykVLb/UUKcpKjY5RK0SpEyYdNUFlcJwzVb+kS2h9SGZlPw7Eua1a5EDRTLX0RnLnCsBpbbbkgYa1hsLLFGo9CYtEoU+4SRz9JKQDf06fXd3kGtrsfCss/JC3BhIcYL+uqa67q73/vu76ibZLUldeMvBvjy8iIrq6sf6bT3vemGnYdI04CT5ytcXByjXnYd6WUfqpGhHgjGI0E7FrQin1bi00rKWGLQMa1mysWv5wN5cgf41fA9XN6sEJh8ywWymlOhhkGOlJmVlYM6SztLso1bc9+48Kyz1jlFtvUeA3C7ti6Fn4Hb1wxKTB2DZyyuDX6WHfW8mCCIObto+IOvVEH7eFIMA8yBPBGXMXjRXciHhDqwucE6UezxfW/r8dmHexyYq9FJPSqJ25TWVQHaYSeOynMCxWAvL13MpZAsFHjlhxnUwmit8FI3L8XLgK7kMGnm6saz18Jkg4NStLAImzJVMXz76w2IdOiYiXz/DArXPY8ThHPPrCBNfNJQkaQak3r0Y49+5Lsj9OiFvpvjGCr6oXabYkWCl041OXkpJkyW2bj10JvefNe5j8RJ8jf/iwz+xGMPIoT0T5xcYWGlSmoEErfxUKXsHIVybOjHUAqhGxr8UBBIQRBLWlLRTSWJ8bDWkNq1AC8m4wtLmRDAcJnNgxch5aAFTQnwhMt8Bfn2JtL9rCVZTUXWPZ4XEmkKc1DIdmYbdtUPAS4HsiXw7aClzfdNYXBOgpext69jpIw4fUmw0CohtCaQjMiTQXq+YKENzoIdFpoV9XGSuhl/k/WQrbM9Dl0K6aWafgpBKvBSi5dkOjxh4CwNU+hqpFMhj+vcpF07KFceSiODTg2pkiidb1+uBo6YVCZbKczQms1ALvL3xqyxcofW8MBCHIRl7oQMR1G4lStJnY0ZRh790Kcb+m5f076m23fADmM3c6UcGO6+yfImmRLHFi0XeeCrD/nGXp7vuQzgde+U8zrRtFuz9CO3nI/X3bgFYxnuj+g7VlODyjaDEgIvEfRSRWgUxnpYTKZO8kKMUeYWg5JMhwhnQeWeK2gBnrB4IgNtJgHy14PfZWQ/LAVl0GDrK+HAPgJu6Z79HOh58JmBO+/+0WYgUdyuE05/J8R88fEycwtlvDGFX6zhKDooaxfsggYfFJ8Vkj790E2wfefrOjy+v08rKdHVmnJiiLJ0upLDgqi84My5Vvk75YGmGE2Tm2ymioVUuffURpAogU5ltoudq+VJMqAPk2lmkGAbOmXD3MQIwAeFcaOr9gD2eR7FCgfwRBPFmn7k0e0FtHs+rY5Hq6vo9BW9EOLYdfF7SjJea+B7ho6A8wuWExdOXlEUjQD8dz/2VVZl5fVJ84Fbt62PmG54dHquSSHPOsYpRJGiFxqCXoqSCSbr6nazBt2F0wJ8A7EVpAPrao0qoVCtJkDlz8KiYWC1qSxl7OabDDWuyoEt3X7y+SiEIrAHc1AUrh/xSgDPA85cd+tclthMb4/WkvtejO9FXGoanj9WBu2jM3miCwVKebZPrEG4K0soVN0N+lLlwBOPY4+brg6ZbPRorlToJoqKAi9x30Wl1h1xEeCOZIYVDnJNpabI+iZd84lRhtQIPCNIlSRVhlQJkgzkxeK1vBxC5iDPQV2YkCUYZq4ZAL0oUYZXfhCDFL/zAOSadlez3NastiTtrps2EMWpm8Jg4ewll+Hs9AxhknLHLWO3/s3vfcPr/+lPfvGxdVcNu+9HAL53Ww+l4m8/cdS8Zky32bbey/SPJMq2Csm3muv1Ja2uSzKEUUS7n49IAz9jdCWyTBSO+bnsa+YMZwdZsSE47IDB15Zw6rw2IqsBz0s9XXNx3qniZIkadK8MgZ033zr2zjS3ZqC3c0vQMfYQ3N6gOjFGEPOFRwMef7mGDDS+FG7+9qCCcHSawLCOeshkg9FoAxZ3y3VqFL2+xx3X9njXXW1+6ws1ojSgk0pKqeuC0XJYrTiQKVJmLF58q1djcjBaupk0RgzAnSqJUsYxupTZaAlTKEUu1gDZIcivwOBD2XT5xV87Gs5972F5QS9ULDclCyuGdjd1k4mznfTiNNvhLXLFWFIm7FgVr3nwxfjbo9g+dkUGP3HqAtVq7W33f+3+733+wHnedts8Y2MCv++xdb0migNW20G2aaib8dztu67yC0tuU6I0k0AqmxOsRF5RZoce/5oahvxECIZgGKSAc5AXRhvkzO1KLPOfyRicQRvWCItn3TCeGgW3G6ewhrmznk0/a2/zdN5wkBSOmIiYP3mwTmoD1CB7WQwwh32NubMxosFZ065npJsOlebBpkbg8cE3d/nDL4asmpheWqKXCryEAYtLaZGJGBSdObtwrRaVjBQ82UJFo7bZAKYM5NqijJMrqbKo1FUwuuyxHJQmDy3KYnXnsIx50JRSAPpok4QYAr0wR1wpQ8lPEEJz9pJgcSV2o7cjSz+CbiRY7kIvNdTqCXEUs26sz2Q1oVHe+723vuGtX2+unP/K2PjGUYCvG+9QqdirG6WlHc+81OeR/bNYkRDHEe++q8O3v7bJnu2a5WaNdi8gjFwC4dodfb7wfIlLrQBfDVvKlABVBHZOKsK1Eg5mdq8F+pryzIEWX6M5c9AXZ3soJYZaPKu4Gxl2kwFbKzF0UgZ2oOu4d43JNmPuYYCpC+wdeBHPH5McvVDCKg8lJb406LV1GgUBvtZFyY9BZ5MpspkDeZx47NgQs/eqDk8eKRMrn14iKEm3YYBORCbfsi6cJNPhSCcXRt5SFFhcFKRRXtCUuyuu3sWBO2tnU7YA7rwWyGZlAjmTM1g9RAHciOHELMTlZRvDqbZu1Q68hGopZLXX5MGXJyhJiTGuGXslFDQ7MVdtavMdt3f4jtdHhP0Agc9qs8upc80dUxt6V4dh+JXLGPzU2RXKpZAL8yFjvkaFJTp9Q69f4Q+/NMZ9T/d45+3LfOjuedZPlbDWw9Mp7X6Hpd4GFvolpkvDbTJGluYBaw/zmMXC+RGgF/5bNaj5HtpuQ8kiXPe8GILbBZli0C2uB+CWIwAvDv9x3fYMgD3IVg6Y221h6OfBpY6xxPzpgxWWlsqIQDvfvXgTrq1BKWqyNU0ARVYd8aaNIo41UxOS77qnzfPH6oRpia7yKadOi+flrEqSgTtfK0zmieeFuZlUWaPHjbGFG6w4ak2iTL4i2cFrB3CZfU8zaJvLu/yFkMPmiEFMUNDkg5XbDk4HxRtCuM6larlPo9Zhri1pdsczSZAyWW/zN962wjtuhXXjFeK4gREB3Z5PuxszXo8hXUaa/uUS5b77voQQkrDf5sZdddo9t+tAt5ey0hVcWKnzHz5Z5s++tsA/+6EF3nxrzNee8fjDB+ocOVPG9wr1vXKoodeCXBSAPNTgjNz5a0EyOl5syNiyyOBKFFg8lysSpUcB7utsAJCXbx2YZTi1xRuk4k32Oh05tHKdOwdOwyfvrxFKHyVVlr0cvRHXZjDXMlexAGlUh2daPHXWWZBqvuutfX7vvi77T5SJlUdXSvzUZO6RQKa2cJ6say8TRUvWZO81um9RkclTA3pgIbqpvyorCVCpHQ7rHMxlEYMbOlmjx4d1RGvrikbBXfydzDqKyPYSvWZLyq/8rfP80QNtHnqmwptf2+Gf/FCLdfVxzlyc5sipCittTafngtDVtqZ88QRnz82TpmYU4KfPXGLL5nWVn/vIv91e1We5aY9ifqVMqyPp9j16fcP2XsLEhYQHXyrzf/1qg60bUg6cqrLUqeOVAso5mxaCv9FOkFFH4Ura+9UlihgAZ+04ZFlg7DzIzKc2aZ1v8pppb7UG3Hn63ssbk42bGTJoEct7OpPsiFFexNHzmnbkg9KZPLFrymPX3rijCB8daLTGC8+6cYaJH03VE+ze2Gf/0YjUBPSMTyl1Nds60+BKuK1hXGIpZ0tDHmQOmVwMM5xZPYweDDZ1v1MGUukAr7LdKaQZTgjIp2uleXf/wAAYBpfDwJPLAs5RMnN/z1kR7gaPU0Wclvn22zu84YYlDp5e5KoNCTPjPl97psrhUzXaHUW3D70wodU1XFpOuPGaHjfuHdv++jf/TOX7v+/Hu+OTsw7gUfc8588sv/XWvZt/+uDLR5kcC5mddHvGtLuaOBFMNWLe512i/TuCJ/Y3OLUYIH0fv6wY86CqbZZps9kGpMX53Pa/wNyXy5NBmlsM2drJluJQzRzkDGukVQHUg9dZkkeReeEO3A7Aw6FAXlGeFNlbZX2dfsRy2/Af/qzGUq+ECDwnT6QdWVWGg3P+CwnrXK5kc2Js0U3JUvdJoqlXND/5nW2+9nydpdAnkpqelPhZD+Vw5EPG4FldD9myn5fRunyEzNoF5RpnRWQMbgdBeg52JUXG4I640oGLwkCmDHV4AdhrnwcAH4I7vxGUFVg1vDkF7qYvByF37o0olSyPvmT5V58Q6CRluu62HO/0oNV3k8vaLcFia+dPv/zK0cfCsPfZAYO/+PJLWBEg4iPctGeRas3puFKg2LPVAcjYiKMX+mhdA7+MVwkoa0FNWSra1Vb7eRJCDedOr/WDr8RuQyYXQ5DLtRJldDDNANhSINVw/JgqgFpLic4kiR4APNfcZhBUetoMwO3pvP5ilL09FeP7EZ940OOV42WQHlJKgrw0tmBtDvaIz77kq1YTsibhU2g3MxmTx6kmSTyu29HlvXe1+L37Shgd0JM+gRSDpI+SgngQ0F3O5KLI5IUGg2JNjFGgrFsVjBUO3PmUMAPpYH6KKFzf4bMDt3AyZcSbt5fJ0MEsG+M6n4w0zknJsq6WfOqAJow8xqwkShKkjDh4KUKed1MFGmMpFoOMLY8diJndeIR61dDuhkOJcuxSCc8rcemix7lzilQoOn3XnfO+u7qUvJQXDmv+/PEJnj89TqUWUNNQ1YZSxtpeIT2eSwi5hpUdkEXhi47OFpRrmDy32obDNP9rAC6HAB8kenKAWzcnO5Minhq6JV5hONBQczv29rSbWrXSNPz5QzUWmwGUMvdEFIIx+WqSTIwyebGVa61tN+iUkpg0d1M043XFe97U5XOP91nqBERK00tlZk+KzL0Rw2ZsOQzsc2BbO+z6MQM2z3skBTp3VlT2WmY/S0gVg/NeBLmQotB9nw/xzAAth720I03LA6Z3NmquvweevDGYvElDKzxPYYzi5h1dfuknFvjM4z32HSoReJZ33RVS9oXLfnbgxr2WnVsE/dB9e700/zKNsfFtL+5/5qc+/flFLl2aYb5pWekYeqll39GY1FqWmopez2O6KqlpV4Ia6GFhU14bpYrgLhQbFV0Sd83FKIMX2XvkZGWJkxFgj87+Lna4uOHujII739kgZ25VYO7LGDwfNzEcOaGVy1yePCU4crqEIUBIPWjOHVYPFuMHUXA1hrZRsRZlyOSiIE/EwMkYtJulGqxmz9aIHev7LB0qY1PfsXjqZIouuDhD1iwWemWCOy+jhaxGSBSCTzByOBy1GNso424aI8m0d35dhmQ0ALcRSIbBrij0cg6v+yjL5756mrpMapJKdKKItcLLMpxh7LNrfchPvitl4a4+1mimxgLCqMRKu8yFeY8XXlmlaas/deNr7nnxuQNHTumlpiI2dnZuSb/t4qUWuzeX2NI3rLZhtWtZbAd0Q8FkALrsPoQns1oPaQf1H0ULL2fctewMo4C+XLqINfJEFJwJwTDYHALaMTjZKOCiD148si2tVRHcBZBn+9V7WWlozt4q+1nrGKVivvhkjaOLZfCH8sQrfO/LJdcV7JM1MsVcFnDmGc1RLR5FmqumIt55R5dnDlTAeCSp0+Jeml2DdFQqDVfJvLAttw1lNlZNDIPN/LXMXstsVZH54c59mrGtFBmrm/x62wExDaRK9v5r2Zv8zykweSGAVYklznehiLMSXq3pKUOzU86K7BTdyOPASZ/Vls9KW9HtS+Johela+raK7M+KID2lV9qSMBV0Q83MhMfMuKbVgZW2YbmZUC+7KDWMyYZqDr3noRRZ43KstQfXSJG1oM5/XhugDW6UKwB7wOZKFJpwC+DO5hMOt+3gcmDr4YCgwYg3bTKQJ06eqJhyJeLJw4rPPlSl1/ehotFS4IlRabL281P4rlcEOGv09xrLsOiLx4lmrKZ539197nu8y9OHfWzVo5cG+ILBjabWMKQQRXAPQV5MubjgM7vBlGPzVDo9bgqsnQf1JgsupREF/S1Gr7/M5agtkJ0YZfF8BHbxphzo+qH0c6UC2m3FKJyUCyNFs+uxtKpZagpWWintbkrZN1R8w0Q9xRcperLWx/M1OzZ0Kd24jO9VWFotM7/iMVf2shG4KVqR5yWvaN1drrGvkNBhGHQ5jTb84sWJpsPgUhRWhIzNVWH3BiWy2pQhuIcgz8tmLVoPRyjrbBMmrUaB7g3Y2h1KuQDT9yPiKOW+JyocOFMBz0NIlYEqt0Pt6IUtfn/WfP9cLeSsmXW32EIm04FcDrR4bhdGkeaaLQlvf12HfafKhIlPKj16RuGnrPksuRfOGgZ3z3bNZ0HlN5vBKOFcDQtWCqwCaYd6fLCiSpCmMMvQDFeNwdg3IRCm6KIIhg3lYoCny52WgjtUqH0BRwJhJFluKk5fhLmliKVWwkLLEqaCW84I1m1MWWka9Ed+4z6kVPS7TdKwxLe/rse120PWt33OzQtOnPNAuDJSIcRQc40wbTGZM7ySgwt6BWuwCPSRfysPLEcCzOEOBENpUrAKB4ydA3w4OXUgUTLmdoxtB0ytdWESQM7eWXCpVUzgR7x8WvCVxyt0ez5UPaTIKwcLMceVspiFFap4Roa9qTbTwJYrlc8O55qoQbdPrRbx9jtDPvdwn30nAtA+fSPxMy2uDKi0GMSBSJ0sEEK4XQaKBdpq6ORoxVC6SMfm+aqSr9bGOrBLM0y0CVN0U7JraYouyhrbdC35FUAiyD9rMR4bdWrcPSLQOuXg2ZALC4KVjuWa7TFvfa1hUj/OmcP7SJMUfdOWOfeP2wRhfBplQWqXOTG3ykP7ypxeaDBWkm633jyYG7mAo6C+bA1es0QPgx4xclcPIv+B7haFZU8MNbgazWYqlVUYZhWFrp0re62L88HXgDs7vHwKbT7yQiXu0DGeF5PYlC88VuaRl8tQ0iBdQ7NXKOEdsUKLR/GHV9Hgo9NYxWA38txRKVbYpUYR9j3eeF2Xd76+yyunSySJhxWKntB46TDZJtIhiw8/wpWZvDjEXqnMMpSOzd3PAmnEQIcP/P6c0fPV1gztv6EeL0pVezmYr/gQIzdB0RnKNzQoB4at63vcc/siD+33WTrqdhd5aj8cPBlTKrUxxqJPzsdYq/B0l0Avs3oafv9rgsdensDGbpdeX5PtE+PS4MVWrLUXLJ8XfdmEgMKdmzP95Q5K4bkI7BGpMqr/h0C3hWpCm7F3dujhJqg5oL0CqHPnxDkm7lmpGN+LefGU5JMP1gAfpIcQatBFpLKNVC+3Q8XgJs5u5TUAy8/TGh1uChrcCrfti8qaAgb7xGus1XzwzT0eeKLPs8fdJIHYKLqpyAq+MtCldigJRtaQ4Wex1joWLwLdEXt2TS1GZvv5FOa5DOSpzd7LFuImUyC/YpKPV8kJFM/H2p6Y7L8bXm9XGCelpWY177gl4C23NHn0lS4vHClT0gmzEzUa1TJJatDzi2UCT3J2Hp49lGCFwtce01XB9JRlrOK27QgCiZ+N783ZdcABg+V1dFe0wXD0UYyP6vA1QWXeniYKnncO8IFLUwR5wc1RWcuayg4tR8E9wtqF57yxNpcqSiV4XkKcJnz96TIvHSuD54F0waUvhl1FI6UFa1e3EUCNQmu0wUkUXA1GtXjWymZU5qhkiY9rd/R5422OxXupY/FQ+PQN6DT3w7M6lSzYQ1CQKO4DrJ0hOFhZJFhlkVagLC77aQXCCqwAacWIVBH584i0AGGK19rJj+KJcOdhOEa7uLHVYH4hhRINJfCzqQ3WBsTJJJNjFe7e2+XtN/UxxnLkrM/iatm5YY2aQinJpmkPmZSJE+c2uP0j3VYdbjfgrLajUOc8uMPzACTf57K4DSDiMiYfypo8oi7KkgLQ1zgz+d47g92L8+bbkYaH4dYlSq0Bd2Eo/sA9USlKFwCeSRRfxxy9KPj9+2qEsQcVL5MnDFrTVHGX4KJzMiI0X0Wi2FGgF2WKMQWg2ytpcU01kPzA27t84ZEqh8+7my81im6qXJVhmiV/8vOcZmM51qwkNgd6AeAyv3bWSUJrXTBppduoykrhAG4ysjNDyXKlTHTRNRs5GTbbb9PmDdjFvTYdhor9ynmZtNaCvqfohZJ2T7HU9Cn5VTxt6YfQCRUWQS/U6O++9/3rnn/p8D+5/+EnmKi7+dcqq+PwCpumOnAPGw/c3Z+PHnMT+12X9nCjIWPsoDVrFOCFkV9ieMMUWbBYmbe2yEoWaj/UgL0LwM59+jXgzmf7DfV29lqaofbOgsvIJnz6wSovHi27dh+hUcJlLnVWg11sLi6yFqJ4Qf+CxwhTFXacy1wUa4wD9gjIJcZoor7HTTt7fOebO/y7j/n0jAajiYWkZ1yMIE2mwdM8RhADBhUDiZLrEZt1u7vvZZVbVZQFm3nf1g7Bn4Nb2oyMcqkiBSZ7myuVaKyVJoO6dJMPxrekqSFNsx2wC3eeyN2zrBTay8Z+uC4tjVYQ+AlTY122Xf2GfzI+ff2P67I63Ni7df4d0fV9elEda10Xuyqk3EfLJIfhic3GgiWJGwYTxyATN0AxTR1wiyPdGPS25CC4fNu6EWAXJYkAecXPxIgkUQXtrQY7PRQ2olJ2jSTJKwXTAbg9HXPkguSPv1bBzV9x7D3o3C9ka4vjhYfNG6OBpij+UNCYI7rXFGtDhnMFbaFv0ViJSRWpyrR4qvnue7p85usVDp7zQEZYIemnHpqsXiQ/t2lGM2me+MmZuyCdshXXZrOx8s8ms5tQWpDWyZZcd0vr3sOazB/PgS0yoK9l8SsAPCfIJDXEiTuSxGZkOZS7Q13vJixIJbK+gOHucGB4sgPXrDbfMT11uKHbnSb9fodGNWHjjPvHh1sbjdo2IyuMHXaBRLEb1t7LrqQbkVxgiIIGHfHFi573wCYcLnFqBOyj+8gMNfhwq8CcxdUacLuJrCZ7dnagUgaV+90qQckElTF4qhI+/1iVg0eH2lsK6bzvQQcNIzfl2gzmiMPE5Rd2+Hq0AXnEEy9MpNJGuNoUOUzhR7HmmqtD3v36Dsf/OCBKFQhNKjQ9IdBpZrGRB7r5NS3YhNhhCGyHK7OyGaPjpMmAzfND2GGKX4CRDvjGXEGirHFTRljcjoI7ig1hmNKPXflvaoZbEV5mMRYs2PwbxQlY7YoDoY8+fH4MmfYZr6dMjXdRyv1rxrpilzzYKU6Azdk7L4gJI0m7r1wFXCoQKQjr0reDcShXcFCKSaKR+u8RBh8t3iqy9sA2knYU6KrI5EPdrfIgUhakiRwOzVcqxfNiTlxU/MdP1+lLj3yC1rBrPltBijXQxSV41Nx9dXWSJ1gGaXI7aGEbpuyLGlyM1KekRpOkHkGa8Dfv7fBnX69w/IIGFWdSxaMnBCqXJ5keHwSba0Cee/MW0PkNl/1O2kyiYDPWzj1xM8LmNnsfI91/Y4r2L0OgX34eMnMidbvKdfqGbt/tMpeYQufTZexvsw0EXHcSuH6AShCzYTxh56YUvdQUBMKyYbrLptkOi80EX1vGa4Ik8emFPkmqMGb0k1kYRPhJqvGbAWHk0+4NL1wxkByy9hUi7ewobvkh1rB2nkgZBbcZShQ5yuB6xN/OdXZRfxcO6Vjc0xGtyPBbn6tzfj4ApTNrUGbyZLSRY/B6zXe7zCH6i4BelCqDxoNij2aewpeDY9AMIRVpotk4HfJj723zS7/v04xdWae1ktAoZxumhdR4WrQNhyAvykjIZbkDXs7cKs9s5gFoRmB53cqAnLLf5dfX2vxc2MtWtvxj5DIuTizLLVjpQpxKB/CcDAqfOLVOFncjS2gMY/UUX1tWljTbJqFWEUyOCfTkWMLysuErzwr2nU340hM+42OG11/b4/Y9Ha7ZrIkTn9TIwdfP+/MEBoPg/IJPs1en25+kFzr9bW1WZ4C44lJ+JUkyrOewawLLYco2Dyzzxtfc/x4wuTYZo5uBNHFyxFwmVZRKBs9axegg5lNfCPjNP60TGs/JE6EG8mTQVFz4bGstwaHfW4T1lSFuhwRasAqLoM9T9haTlZAOSmnziVBGU9IJH/5AhyOnfX73806LgyIVkr5xvZsyZcDgwwKsfMUZGgFFu9KBeihZrM3YXBTq2IX7O0KIPEYd0eI2u7bDwqtCrQwMf6dBCkUYG0IRsxwbzi+6vXpADlbxXFSlBqI05tptTe7c0+F11yZM1C2ff6LGVM1Q8vustCP0gXOWCxcFjz1RJfCr+Fpw4RI88GTK3m1z/PJPXuLa7ZCm0gFSWY6fU5y6pBDSYoXkkw/6tNuCdZWYaknjDfxyW7D+1kgSueZ3g44dW9DfQzApmW3RXSzEUcNiJ6VMQarkIC4wuRxWB44+J5nvHbO8An/2tQorYQ5uB3BPOu2txag8GZVUw7LgK5UqjC6ta8tlyeQJa+SJ0+PFTp9BnbiUKKMwRpOkmjE/5d63dPnMYxWW2gpkDEYR4/T4oNtHFO3C4ge8MpO7PNAwKZTXp6g1LC7lwIRxGzALB/6c0YfDb/NalWJ5hkv5+2XBllnBG29r0eyv8tmve5js75686HH8vOcG8SPAGm66qsUv/41Vdm+c4Nz8JHGi+PA7UwQtJmdjSpUYfedOxeKEz3hcITWuB1kJON+ULLY09z8r+fQDikgohFRIrXjqYJnnjpZQ2qPkaUzksaEmUBtS5DhQUgihyLehuKIzsvZ3BWCLwaauhRqPQWBZbDAYDSrz4TRDcKcjrD1k7py1h+ztVRK+8FCJp18qYwra2zU15PJktN5EFoLvYeAz6pwUXaPLHxl7FqzC4jbYxWaIkSE5VqLs0BdPUg9tEm6/LuJdr+3yB1/0QUUgJFYIQqNRQrjJYQyZM4fzWrlCwQcfsGZuH+a1M9LVfEvrbm73uwzUAz0+TBqJ7CYgy28MYlgcafieG6c8PQ47NwVMjwe87aY+gd/H82L2HVM8d0ihtGtzi6WltQr9pMQDT88wt1TNzrmk06mzfecM4+OT6JIPtTJsnFHUqxqt3G4Gb210mJla4d9/qsyffGmKRJdAaVdJ50lKntt+riYtU5OGiZrbVHSol+wgYzkSJA46Q4YBWv6zGFn+C7JEDIE9dFFspsXdZleD1yrbcU0WwZ0OHRNphruxSeeeBF7M8TOS3/9CjUtt3+13Ld2gdyUY7tjwKrHD2pIDwZXZ+9X0dzFNvbYZuRhs2mIRVur2z3HPbvuTddWUH3xXh8deCjg+J0HEgMIg6QtZ2EQKimW0YuQutIWALvv/QTYzuw5FNhdugNGgEEuCEXZQtpt/rxzU2ZZ7gByRcTnhRYnkwmKFfqRo1PpgI7AxN18d87pr48GKa/2Ij9/n8w9/fZLZimamFhNoUFriqZSZTZZS1aJv3rNC2Ftg7/pzKFlFCEGlHBHFHZ49bnlg3zrkRJ1xT7mdEpQlUBBoQ0lbt5GTL6iU3FD54sZLgz7KAshHKu9kbgcWf7ZDSZIHmoMez2KNcHFGtl3zOh1o70FCRxZ0t0zRmS3o+zFhavj1T9R55Pmy622T2mlvKV3XjijUwBcL9NcGmFdg8iLOL7MKRzKYQ9diuMd7sXy2WEbr2s1M7qikhkRqVKJ5480RP/7BFj/76z5hIl0foZEkmasijSh8tiw3MZI+dzkQCp9PSeePq4HEypoTsiSQyG5EmY18kEJgM7IapP0zmTK01CzC5H/miDExEEaCTleDhTBSlPwAP5vqm3dZeTqm7IfcfX2fP3ukw7OHSuwPS5QDiRIxSdyhGcRs3GDQh056LK94PPeSYK7dJ4oSAt9wfilg37Ep0qTChqpw/Zc674xxz/nuCCXPbd4UeCLT37JQ0losiFrrjAwBU9zyo1ge6f6uGbL5AODZoMuBPTicgDoILvOxv7nezmZcD4JLmeD5CQ8+6/GZRyqEkQdlPdDeA/YeBLaXZy7XloMW9XfuOV8xo1mwvXJgD6XBsPjKKobjzQq14qmRSOOkSg70JNGUKwn3vrHH/Y/0eOBZ5WxDHJPEQtNjmGEk98YLcsXK3GOxhc9WDDZzUDpJosgTenYA1gG4GepyKxnsl+re2jVCp8YVZ6UpJLEglDJrcoc4kfQ9he95hVZCty17zy9TLvX4hR/u8cLx85xfVgS+IAw9Ll7SbN1uGR8XaF/XEPQ5fKbBV/cFxNZ1OZekpKwFW8bc/jZB1tPopreKrJlA4GU7JQTZjG3PU4NRaaMNCEUdPWToXJaMbB0t7ZDZ5eX6W2Z6eKC9B5NQh8DWag3Q1RDcOgO378WsdixfeKzC4YslJ02EK4kVufYWFCZI2cvAPZAsOZPngH514T2K8wIKRoqMilJlTeJnbb24lAppUqTRxKFm12zMu+7q8PRBn2aUpV+N0+MRinwfCEnmjY+U0Q7XHItL7uR3bN6cobKWtgGbi9w+zBI+Ii/Gsu6rjWj30btc5EOLChWYxro54HFs6HtyUMc/qOdXbqRe4AfUyhXu2B2hVexMDyP53OMVkqREEnro80uWhWWDTeCqSfdppBBuCxBtslELGWBlcRZgPu+PbGKUwNMKz8vrV7IBkXkJa2FXAlmQHyOB5ADktnATFIY9FrT4cOqpGQW5XBNQ5omcoosiXae8IeU/f7HMb366hhXa+d4j7M1Qe49Yg5cDfcDcImfGv0CDF2RJkSVH9XfO5Je3spk8bW8MJpUY6XxxJQ1x6iGV4cPv63LsgsdvfkYTJ0OQGwShkCiTD5IYSoYByAdLSxYx4haBwb2IHXb85ADGYoX7N90GDnnjRK7NXUCqit+3MFYuX1EsDOqb3BbnslBfNJrQ87RhWZfxdYr2zMBz96RheipmvBGhayWBnhDcvjeh7MUsrXoEfg5kWQgQxZoOajFs8tV5cZbMbgYGU6SGPnUxxX75TI21geXo3I0Cc8uiFnfz8dYy95X2rFfZ3jNOg8d4fsyxS5LPfL1Kp+NBWV3O3oOa78JnLCR4hr735a/hv5zkGTJ4AfQFybJ2xLDNmg4GQJc50CVGOi0upSaOU2rVhPfd3eW+R8scu5ibyO5IhaBHIUeRN9vaIdjtANRiUN8vcd/dJbUdPJUQg5vTSMf4QorMJsxdllymZCl/VVylTHYzy8LgUYiTjDxjsabv9QquWgb6km9Zaqc8cyDi2mucVNALbY/lJc2xc4LA12yc9pwFnHmnI50XhSXYLSuSkcGX+WzuQeNvBm5V0N1iGCQOOsALgBeFvyPEGhYXQ+dEFXYcGOjvAovLgiyRMnNMMibXOiGMDfc/VeVrL2TVgtJzAF/D3oNVQwjWzltcWyhW7OD5L1YSjhL6KNALhzEZMHInJduKxOluM5QpRpIKiUolRijiUPOW10S85fYeZ7/kEZosos+8vARNX+AqDnPuFMLRrch3n84bH4buSpHJZVaJZTI7Mfe/hbUDIrTC9QdI4TKhRhRcFVn8nmY4MiPNGsmTArmKNRIwh6QYylxfg5Axu7b02LXNMj0p0Rtmr1otqeg+eXXtO5JY0w29wfbcOcMM/dhhgTy4Nx5xSAo9kSOsrdYCe600GQJbiALLF4Y6yssY3BSck1H9vdYOzFPxUrpOHeknPPysz7/66Bip1UPnRCqEkG4fIDFMy48yeAHk8srs/V+RxBwiOz/Hl8kUOyJXDPnUq6wYSwwdlYEml84bF0aTJAbfT/lHP9zi8DnNw89IjC8yyLovEBtFj7wQK9dOOXKvoMmFHX7ePLGDOyeW3D0ZAt1a63zxrLLQ5JWH1g7a3VLr5pG7wT8ClVriQUP5sNq0CEhTyBWMKCpj6YRg5Rh79s7ct2njzlW9fOa356TkFyYb9ju6XUujprMuHVuo9RbEqSDJar6LIC9mJUd96rxfcjg/eiSwLOjt4YowqrnlFX6Xa+4iiys13IFADZySNNPoafY6Z/GEs4uS3/hsjVPnA6joAXMP2Fvk2nu0Je3K9SaXJ3iKv8+dlMuAvlaH50TC0EnJ0/WX+eIFfzyVGXsbhTQm+zlLAMUe2zdEfPg7Opw46XN6RThvXAgXdCKIkIMdhoe+uBjOCGFYeCUzOaIyQOcAHzolNkvw5MztcGGyc2iMy3yazEqUWbFWmmFDpcPxIHm7YhHbxlpMakmMzbA4bK7Jz6mRFlUu8amvvvALf/rA83P61PkJEII0TRgr99myqU/JT4kTZ9PE+bYlsSKMhdsIKKtdzv/VQXlrgZ1HZEhBUwsxytrFXQEGz2tBPggyh5r7coAXmbwYWGalsNnr1E/5/c+N8dmHqtiSAzXS6W8h5Ui/5bC/8S/omC8snVwJyFz+60GCZ5TIhzIFRgLN0fmFWZCZSQObMbe1ZlijIjKQC43spdz7ph4HTnh85Lc1UZCM3JHWeIR57UweNaYOmZa8Ptx9ysElzyRM0QLMwW6Ec2eKzD3s8nGeucw77mU+cs6SynwE3HCIUHEigasbt8SpJYrdEcZuz6g4FcQJlDzYOivYPOn2PDXGoq+5qokxkrLfZ/3ECr3Y0osMO2YtQvgsNUu0ez7trk+np+lHkiRx2av8ns+X6yuBuChFRqrJsi82+vvipNJReZIXWOXb2o0AXK6xAmUR3ClyUHOS8sAzAR/9UpV+mk3BF7k1mGUthR3R3ldMzReBzquw+lqp8moFV1lwZ4tsWbQJsZeV0FpZyGzKgrMi3EU1MivOkobUaALP8MPv7PDEPp8HXnB2Ye6NIwXGasJUDGrGczvC5vtrw0gCyArneyhhL2NxISg0OtihfSqddZifl/y6pwPsUCC4nDyGNTPGOtYOI0s3tLT6gtW+ZLENqJT1MwlLPcGxA5KdHZhsCOLEos9e9AANos9Lp7s89GKZExd83n1Xl53rV3nrLcuMJzXml8axtoy1etC+BEWwjgr+4u+K8yxGK8nW/G6kxrooY0xBf5vCs8nYfFSaDNhbFqSJjumG8Au/M8aJ8wFWD3dLHtHeucQaAfYaQHMFMI8s8wU8/wWCvGgTDpi9oMeHxVd2RKasrU0x2TYfRhZZXCFSgxAaGRmu2hjzT3+kyRP/MKDdFwOZkn+uVLq9OEcaI8RQtliZFX5hB06KzTLV1uSMfXnpsMnPjylc78HfEWswwhoCHEoUa107Wy+yzLcE51uW1HR4y2ubXLU+4X13RZw4L/na8yUC5VP2fFJr0U+drKG1YnEZTp21BNJHG/jDL43TszE3Pthl+3TE994TAhVkVlmX1zAMGXf0C8issD4HKsKOAILLQD46dbQ4O1rKUYC7gHUIbi0NUq3ZkbdQb6J1TJLCr36qxguHSs7zljlzD50TT4zKEnWFEz8yA+Uy92TYRP1qfH0Zk69xToYNEMPEigOzvbzaUDgGHwSdRjqQpxIjsiPNpIox///2zjtckrM687/vq9zV6ea5k/NoNMoJCSWCRA7CCGMcsI3XNuDF2N7FYGOvsdfY4ITJmEVgjLEtECCEJBBBEkJplEZhlCZJEzT5zg19O1X69o+vqrq654pggsC79Tw9N07fDm+dOuc973kPp20IefPPzfGPn6sRxGkUh5RdEcQYdJLCiShVL+/QAn+yYtNIfy3LzbU0VuXzmMfVKMX3fiAwAjlj1/Ms7H/te4FA4JZi/uiyQ6wYDdm0UhFFZaZnR5msCl53cRvXD7DsDiqJMd/ya5dT8ny2Pf4It3/na4wOmcw1I75+r+TIrMtT+xwaU4rrHYtT1xr55rGMruu/dA/uZcnop8GAVvw5uRaiP5IPMigFkIsiuHvFpCl7kdtII7dpRJhuzI13OXzqi2Xm2hbYPc4bYSCESJmTXteyZwXRn4f3rNkW8CDsk/GL/Os+SC8QtY/Dex/QeyDvj9qpK2yWkhSbQELTiLE0kCrRepXIoOIm/MarW9z3iMM3NxtQish1rSnKokTShcIz6QFb+7dp2lLTiWl8F9lNHB/ABi5iOdgL73/vvYfBZWSaKs62d0DVl1y4XnD6ihGqpYigm3B01uDrd3rMNm1Kts1LX/JC1p5wIq1mE3O0buJ5NmMjivpQA68seWivotH2mKwZDJcFw1UTz7ZodcAua3DbVpIr9zJAUgR34aq8YDRT/T/PtcJkKUrS48FFUig8BzfvZmlJb4d6phKUMkKaEY/vNvnoVRV2Tln6VRKF3DtVDFqp10nOCC1UVBbesP7UpH8ffX5lX+jI0toBLQoDeXdPZVjwLxzkyNUCQiyV5EtlRZaqCKVTlVCxeijiTZfPs/uQyY79AmUWEywB0iJSMo/kIo3kKkkfi1QYiX4RlAQjUTnAk+Lr8rRXsf6XovdFDzeDWntDqnS3kqDkCJpth0eecBmrRQzVAmrlWRYvOcxTj/h0gi4zTUW7a9PsBpjTDR3Jtu01+cwNJqGyMIXBoqpktCqoVwyGKia1ssBJt/66doxjZyNfBb846E2KDGJZFX+STvwgss5AL7IXClDRF8WT4/NvGRcYlF47XhoxUkbYTsShOcG7r6jw5ZtLKKuYmjx99DYKadLxzEkxzSKnB/silBgA+UAYV4Mvjjr+e8drUop5eAboYgGaTf7IlJbLPk+LT5EQxQmWTHjlxW3mupK3v8/g8KwApx+hKrGIpKCjQOTRvZCuCKUbPomO2lKoXP/dl4YOPk21wPMvYqL4koleoLGMVAMj9Ujb3HzMwaMWQWDT6kqCUHDuhnnOP7HNzGzExPKEkqu3X5imITBM69CQL79x2QXjlx44NEezbeJ7gnLJoOqb1CowVEmo+DG+F1JyIxw7wkoHeEUxP+t7w3qrMrJolA/WZqAvPKteTl5YKiqTVHSV9EXwXg4e925GLzWxzIiAhOvu8LnxnlJPa5ICuz9697YGF/0GFxRTFd5EKTjuEjv4zubgX+hdLWpRioAmi9y6gOsTK6Wvn0zZlJwPFwIh0sZPyqxIWdCsSIlQBlGU4BgJl5zV4aXntfjsDQZBJHqim7RaVIlJhKArCyDP3mepV4IbsvhYVW7fNvhcewVzsZAWOU4GNTk6oIu86WcbgijR1zWNgwiAMDJpd00aLYPD0x5z8xGJKHHeIvcby0vOoUbUxty4YS2f/twXdluW/aHhiUWXdttzTI5qg3fXFlR8qPkx1XJIxQ8pewGeE+DYUdodLMgqk+Ju9EJzApFW4IPjWPK49z3Pw7LI/bTgjvu/ToEt02ZOJBK+covH33yqwlNThbw7Lyz1CF5f13JQF1Oo6HMqC/o6a30RPfu3mKr0YV4s+OYfD/zifOaAPjxT6aU0oZKQJHpJa8aoSMqlcgAATlFJREFUaFZDN0GEMEiEyrdQCxRhkLB0OOLtb5hjriO55lafME6fiCqAXBkESfqkk166oj30tS1yMW9TWc2lis+v6H1OfuXpNbX03SVKbxKKlabh883HUs8glCJFECWpwVRCFIUEgaLdMZidl2knNGLTicOoZP5D9939jd0XPvcX9Y6eutPGshKaTodF421cy6IbOFRKCbVyTNUPqZS6lEtdquUOtXIb1+4ijRhQxLFBs23llgbasCbd/5KBPZF9NmSaBei5Y+VAyK1zsxQlOS73loUuZX/kTqO3FfPklORTV/ts2+WAb+RsSd7YSZs6dh69NWdbtIJYiC0ZvOV5qugvKMWCkbx3uVqwuESgzegL0X2w2KTwNWl3UKQgFyrnxkX6Wmuu2UiviNlUvknUVWxYFfFrr5znnq02u4+KIpWRF55KGoSJFtoJJVJwZyAW6bxm70QWqn9luV5wC7ESRAlESrvmRkp/ngG8B+xEX3E6MUSxfjjSxLJMKiWDkUjRDhM6YUInDOmGCb5n0I0VSdJm6XzE4WlBEOjHZAKsWHECFb/E7kNdbtyykxOXC9YtSZgYDqhXu9T8DkPVFpVSk/1TXa6/SzLfFRimgUoSlgyHvOL8NnFsE0Ua6HkEJ8sPRTp9YhDFuviJkbpppnrvfTFNKRaWWSQ3ZKI7miItKI0e3y2FvqpMzws+8NkKt9yfWh5nrXhp5NE7a8nbfZx3j+Y8zlhzIFov9L1BCvx7VVnF4rJ4je7TpRQu6foqqQu9jDWRQkdE2ceNZ8AmNZ9PctpQCAOBIhYJtBIuPq3LW36pwV9+ssZMu3CKyuxBCBIMgiT9idRXIaGy+Nyb0C+Wq4oUuAlEiSBItM1DRwnCBCKlUCpbUJu2uFQMUYipOlx+0SxLhkNtemQKZjsW37q/xq7DPmXXZNyH4W5CN4gRAlYvlWxYGbPuhEVUR08mjpo9gFveYlavnfxm8s1vv/eCk2pvXzLSZelEh/HhJkOVJrFqsWN/zCN7Ta746ii7D5aIYz3hrOKYmtPk8Mwh/ttLWhh2TJwYhfxSX/a0DNIijFLNdaTfDJGIfnp4sLgU/UVmr9iMU+D30hPDiOhIxT9dXeaKL5aZj80FWBNdWJppepIVlXnuTT+I+3jwLFIX3sk8UudFck/R/71YhGIkX2hkrVjP9BWcieais9UnsmD5JnLgS/07pLl4ooiFTJ+/dowiVpStkN989TyHj0k++Nkq7SL3l2QRHRIMwrTNnj99CXH2TFNpbDELy9KqSEEnFszHgjBJUHFIboRevJYlMZbo8MaXTfEHvxDgmi5RLDFkQqxa/NoL5vnnr3ls3VNi+74KBxsuI75krqNodWOCeBS73HrvZc9a982ke6AH8E0bFvPn7/nLlhDyyblWzNJF+1mxpMVX75Jsf0oyPe/xjbtqBMolii0qJni2zo+CxOLwvM1nru3ysvOarJgIiWM9XdHsQBjqx+45EtexaHddnWvFktyYungpz6Oi6ktTjBTMOnJndGAavYVmTbASHt1h8x/fLNEIzTTvHrzpfepWH1vSn3sbBUB/1+5lFrEHvj6eGv3uUM/b9YVo3he1c3Cr/oie5bJKpypCSu0opbLgoSN5kqS76xNDsytpFBciIQoVZSfkFy5p8Y3NDg9slyRZKz8zNklz8igdx8mmdWQi8tnUTMay0DONEkE7EYRhBGEb1+jgOREIRRgKWm2DRAqIYclkh19+eRfXGuLYTDUdqlbYVsjK8YA//ZUOiGN87a45ppom2/a5fHOzz8RYyOLxGo25A09++oo/af3af3t3D+AAr3jxS7Ftj22PfZ3P3bCPD3xlkr1HLOab2rasbAvGHEXZSSjZ4FoK29Rdu3UoLntuyKIhA0hoBTH3bbP40BfLPLTLRkrB5c9p88oLOqxd2sYyLLrZ5TZ7Myg0fFB9qcpgLq4BnTEomvM27YSHdlm8+b11tu5wUFYx3+6xJsXCUq/fW2BTwwLU4IL5OAPaZI5H+PcTxfuLsoGo3tfl7K3clolKJ9pFDmqZdjRl+n2R3hIldapCkRfXgI+FgiDhpDUhH3n7LL/5V0L7odvFCC7ybk6MIFRgJEJvPFaZarBHn8jCk5bpVSSKY3zVYMPqGV51YZOfu7iDlIqtTxh86Itl7nvcY67tsG+qzIc/b/Hq82rEsY8UYJsJrhPjuSElV5McLzknwDRi5poxr39eg4efiLBr5/K851xCq90CBgC+emkF3y/x6KNljh2tUVUlNo0mzHj6xXWthJKt8ByR3gw816DsSdYui7j45DLdMMB1Zrn6Vpe3f3CMww0PLBshJH93peLfv93i1y+Z5ldfEKOUQRgZxGkxI2WWHmSVeQHYIkkjepZ390dw04qYV/CxL/s88KhDnNOBRTGVjt5ZatK3CWFB5qRXbB6nHsyAOwB6Bj7/XghXA8AuIlwV5zQZSFEylV+BGycVZUnVS/2066vmxYVQCKUQ6QSQEHp4TDfmFEasOO2ELm98ZZN3/KPFfEYdZjNp6cCEwtAFIlpZbhR8FYs1i0xH4AwBZgRlJ+C3XjXFrz6/yfJxAyVcDBGzenHIBadN87YPxXzmaw6JUeam+4YwAoM1iy3KJYHvKkpuTMm1KLkOnhPiODFKwfScg0AwVm7iViuEYpTEaOavaw7wMPEJE3+n747tOueE0dVlr02rG3DTFgNbCHxP4LsSz5GUXJOSJ6n4kuGqYtGIohtYqETw6B6Dq26ucXi+hiy72IaJa2gR07HpEl+8yWHT8gZrJj3aXSPPtw2lwEj6eyN9+Xgv/xYiS00iTDuiFcOnvlzmqht9urIAblnUeovjoneWojxt9B6M2MVisq+w7NGDfZTg9xHD1cDnffJU+vPwnMDoa/z0mCixQDNI5KmKTlNklosnCm3vlv7FWGGLkMuf2+KxPQafurpCM6QXyQsceawkIWjHW6NHE2c1iZE6EfSKdsXK5R1ec4FJzR/l0LTURqdmhG0GjFRaXH5xh3se7bLjqMC34MhUiIFiqGJR9iW+Z+K7Br6X4HsmlZLWGH37QUmzYbFkvMLpi4d31cr2zrYM89c0W8XC3/zt3/OCFzxnl+O6Y3X/yEVDlb1seSLhyJTNcEUyXDGolU1qFYt61WCkKhitJ4wPhYzWO4wNNTGsBu//vMNnvjmBVfKpOSYjjmLEVYyWEpbUFEO+gxRVqr6T+h1qtIhUXGXkObdaoCWfTcSna0bMiFak+OR1Pn91RY3D07aWwGae3qLnUCWEwJbgprSgmem9pepbZNvz/S7YxuWgL/i8iEyYn35MR6uKYv18kdZx3+9JAgYn9PM1ID01a7oxuPi7auAKUxgcKZyUmY1c9v+yk1B/uyBHzdrqCmqVhDM2BTRakkd2mVqU1XeGpw9M9PYBZY67ptBaeivdeudYipINQ2U4e4NFza/SbHsEoUUUmSSxmTJrkk2rusQi5M4HfMLEwTEUqERz3umMZjafEMfaC6Bc6tIIZ7n1wZDh4cVsOmHVh/ft2/OJ0047/fgIDrB03KLsl7561aPxy+99yDr1sV02i2oG43WDatnE9yRlD8qeouJrfrxe7TJam6danuVrd8OXbx/FsssMe5K6HVO2FSVb4Tva8XOsbuI7NkdmEuqVMH/RDZnRRmk0pCC6Er3GjhQFrbebcM3XSvz1FVUOzaTNnDw1yT7X0Tuf1JG9/ToZeDPevS/Plk8fwfsFVsXbD5J4LxzNe0Kr/lQlS2n6ePDsY7YBbaDJlqUqiSgWnOlHpRCJUSia9R8MAlhUi3jnb8xxrCH5t6+WdVQgLTyJAEEiTEIFdpqDZ5eijH3SrgxQcgS1sqQx77Fzr2R8OKJaDvEdk5Ib4bm6b2JYilec2+Tuh6a4ZrPD/jkbVEwQJXSCkHY3pt0xaXUM2l2hMwblc+rKBMeICek+cHjW+2oUJX2vqVH84gMf/jRJacXemVlxdtwVpy+umywasRiumQxXBfWqYqiaMFQNGa4GDNc6jNSajA3N8M17Q971z6PsnhphtGww4iTUXEXZVVQ8QbkkqfoGlbJJyTNwbLDTxaz9GxqyTqXq9xKUUd8OHcuN2Lnf5D3/XOX+xz1wjF7kzgaIM/s1qeUWTgruDORmPn1UsG7us4vrj9ZGIar2R+JilCZdw7JAJE8/9i2LLdhRFCN4tmUu+90+JWPx8t93Miq9ib5wIspC5O4rDQZqiV5aqNm7Wi3GcxPufNBietboRYLBKC61e62O3npMUZtC6d2qrp3WbK6BaWjdfa8/ktEJOiqP1hSnb5hn75GIB5/wCJQFiR5IjmNFFCnCKKEbKjqBoNEymJpxcEyP0Zp9fdzZ+eFf+IU39AG8L4IDvOGVdaQQbNt+jP2HRLoKO8axFZ4T43sR5VJApdShXmlRrc3y1TsVf3rFBE9ODTFeNhh2EyqOwncUJVcrwEqupOSZuLaBmZ5WusuVPdHii5+xJxnPnRSit3aj2nXA5H99tMbN95VScKfpiMjAbfZRgtmcZVEO29fI+S4MyvejJCyip/i7g4DqJay9z/OonE2u931/MGr3IvugZryXd/d/TRrJM1tnzapk4NatxOLnAKINzzk94C/eNMufflTwxEH0iygE2m7LIFGSMIFYCJK0Zuh7ndIAABBFik6gmG8LhNBLorRkQ+ZD00oJJocE737DDJKEa28bpxl4jAUGw92EsptQchI8R2CbUb7pOjZLLF+5MhXw9R/HAXzpmpcipRkcm7kS13oYKWxQNlIqSl6I73Wpl9u4zjz7jnZ535ddvnDrKIdnqkxWBMNuTNkBz9GXJy8Ft+cYeI621zLNzF+8CAqVMyc6v0wGqMDUpN6K2H1U8mf/VOWqb/kEojAVXxhgyChBU2ZiqoEpHYpKQfXdwZ3lsIOsSQHYvcu85Ic9ipbK+hupjYMq8OJ9wD7eoTZ3xBLp6r+MLlQqpQ5FyowUN6/19yUcU/Ga57eJleBPP1xnz1SKWiIQkgRJKCRRQWuSd2ELzyVJIIoSut2EtmlgpJeprBEUZ4tvUwnHcMXgXb/a5sz1e/n0jUPsPlRnum0x6iuqjsJ3knTeM6ajBOefvohfe80lQRhFvPsd3wPgwlxEper9YWSs3fiR6/ddvHyowc8/x6BWblMttyi5TZ48FHDlzRbX3LmI/UereLbFsqqi6iQ6ajvg2Vqs5WaUomPgOjJNTVIrN6PQjs/y4OM6lpksVm8e3ntU8I4P1/jijWUCaeVbGPKCMjPvSSN2fzv+6aN3L79WC+TWg82erE5YoMHTx678oMg+HtSDbfs+KW32/Rz4og/0GYvSA7ceacsfrtTg63+ohUtNBBbw2ktamBL+6END7JlKq8m0KxorSagEsSpuplA5sPX2tGxYOKHdlSlnrunHbNmW3hSib0FoUfUdfuMlTV767MNce+cMV940xM79GmujnmC4pHjVc+Y4ca1L5Kz89ppVS/4w7DSPe0mPA3itVuLaG77eUKq0bbRSumDZKIbrzFOvzXBwps2137C48sZx9hzRf2yiAjUnwbfBS3ly105vlt6x6abgdm3tsWOZ6dazLO8uMCf9w8S6mJTpau1DM/DOj1b54rfKBEYB3LLId8t+cKeg7pvUoQj0/uJyIVnscVLYYrrRV1f2wvn3i+8ix13EeI71wXY99IO5QCdmDaBEiLR9r9K2fj/g84/JQlcb0X/1iMBU8Ornt4kSwds/NMTBmR7AE2EQSEmYZGIqpYVT6d6cKCFlQbQaUAYxMi38FTI9AQRhJIhizZQEgUE3NCm5NnWvw2+/pMXLnnWYf79plq/cWefgVBXHMtl7YITVS6149Qpz2wP3Xt847ayXfm+Ak75YBo03/+qLjLNlMnvafDDDl78qufq2SXYf9HENg6U1qNi6q+nZKnWXlTiWwEmdZm3LSAGuo7ljg20n2JYee9NecwVfk6LNcaGotM0A7JhPXFvmqm9UCEy7v6DMAd4DtyPp20gsCxTgYNQugrqPHcmjcf+23h7we/ODDJ4EwMCXC4J7wa8LCFd5elKM0IUUJRG5yU5Pc18EM1oFmObmetdSGsVFQjGlKkoDtEdE1kQCQ0W85pIW2540ee8/G0R5oWkQxhYdIbAThZ1F7VQMGMWKMNI7S4Ow9/qDoa8ssSSOVUoDCrqBpN3VOu+mY9Nsu3hOiVqpy1sv63DZeTN86fY2N26pcus2n1k1/tBrR5pvXjzmL/gaLwjwl7/oBTxw16fjKF6tvvyt3dyxtc7OvRVcS7B2WGEbCY4FnpUC29bAtrPlnJZezmmnjrOODU7a3ncshWNq40SruDPe7G06y/dXpjsrDSvihjsdrvxmla6hd7PrlMTqy7kNST6dYxV8TQyhju9appG8v2hUC0btPHCLftCKwj/F731f0buYjhQCS18EH+xi0gM3ajBtycCZgjvrdtKL4knajRG53lqP5WS6/OwEymSzCoGRmp4oQ/Per31+k3ses/j6Zn2fWRTvJgbdRGAn2qvElGn0jiCU5DO8GXmg/56RLg8W2JFeR9kJJLalaHcNHDum1dHjko2mi2mWsQzF658Xcd4JHe7YJpiYXK22PUX84he9dMGXeUGAA5hDLyBota/cvm/f+nFv2l93OhyZjphtaq9unYboyJwB2jIFpiFzN1oNdr2ewrEUjp3g2nqeM4vi+qZBbaXNm3ydth1g2QHX3enyhx8a4tHdJc09SQuk3WNKpMgnc2xSV62FwF0EdCoJ6KPRBotK+iN9MYQfz6YMpC2igN8FEK+e5vOc+045iYwZ6PPszlSE6e8nqri4Vf9ebzVhFuEzDXkK9HyQQSJSHzXtCAtKSWSidfcZE6PSiH7iyoB/+N1Z3vYhuP6O9CQRBmHs0BKyF1gMvd3NkAoZqZRCVansIhWOJRCnqye7oXYxtgzN3NmWxLEkrmPiOSauHWMaMN0wOXxMUPVjXnGu3zzlnLOuNC2Pt/7Gwjg2eJrjIx/8e157+SX3nbK29huTtW21xeNttu2ThIGk6gsqJUnFN6mULMol3Ub1XJkWkjpFcXJgg2snOLbCsWMcO9EfHT3b6VgRthXhWNq937YCHKeD4wZ85Q6HP/rIEI/s8fVlwHBAOml30sCSAleCKxW27OlMiiKqQTFV3q2Ux6cugwOv+nui//P89wq8t0Sr+bLvZ/y3zH4v2zAm+grcvnSpyHlnNFvx7ww8tv7fyejVwc8H9DT5eVosHlJeOj8ze82igWsbKhFMjMSctqHL3oOw7Ukzf0CxXpKCmTbW+l+vwUUAPfYnTq3Ywgi6oaIbKLqhpBtKwkgXoErpYNkOOnzj/pjH9yhWrX7WwSNH5n5lw8azw6fD8dNGcICxJeuZnZvjwds248hZjjYUntTgrpYtfE/iOhrMpqFfzCziCDKXWYVtKmxL4ViJBncawW0zxjY19ac/BlhmgG13ceyAa2+3+eOPDvPwkz44Dhg2SBsh9YiSlTIkma5bT+QU6D/oowKPUwVSjNTq+CieAqGYY/dSFzGQwog8yg++kd9PHq5TDZ0/FwvM4xmTAhVI/88pyG6Levw+64n0R3raTI+3CXrpgyL1NhECmU3pS22lrW0qtJPhxuVd/upNcygE192hz7RESJqxnQJc9Ow2JMiof32hInWTjRWGUZgCUvpvm0a6PcSRdEqCKDEol2JGhzqsXWqyZNTnrNOX4vvV7wbh7w7wUE5047j1xpPXr/r8LXdv8btdWDwuGapaDFVNKiVFydWgzZYQBelZlyQ6yphmBnD9e7alXU9tK8ZOI3cP3CGO3cWxO3x1s8U7PjLMI7vL4Dpp5LYw01EzJwV2ZpIpnwa8uc9GBmYB6ThKEYMDstfjqb7B3LqXc4u+/58bbYr+3/uu4O4DJHkS3g9+Cjy4eprcvFAoFoCdPbj8d4Tq3V8KZhVnFGnaCU2FWVLqgeVEJropI3v5+sblXd775lkSJfjqZv2kYwRNYfXZTUsh0vRQ9Wtg0iWvMtaPM4j0+u4k0cHRtjTF3OnqSTDPMVm9RDBZb2G5m5rSMt44Mjba/U8DfEmtmdSXrb7bd8XcZ6973F89brB4zGZiRDJSi6n5IX4pwrMjLDMhCA2mZh1m5q3U41lhmXpThGMl6cc4T0d0apKmJFaAa3ex7Q433G3xtg+P8OjuMjgumA5CmtiGwCumInJAP4I6DlBPrxs5vmgsRmkGfi+Hb7H4XKAIHWRhCrBfGORp+29Qh9LHcReieu+kKHR/C4Xn051AmW+gjt4in0gT2d8tPs48MCiklEiREMsEI5aYZm+2NlGSDcs6/O3vzKIUfONu3dUMhKAhDAwhc6lzz2uwtxNIoXl2w9Csy1wzYWoeglBr5jxbSz2a7ZhuaKKUhVJ11i1rsPGMC+c8b83dhw7NJ3yX47sC3PZGcT37aBhGl7/upWfevP2xB6zJUcGyiQ4jtS6VUpeS1yFRHfYdhUTZdMNROoGTg880FFZaUGaROwO5bYfYdohj65zbttvcfL/BH3xwhMf3lcH1wHQxDQNXkoPbzh3/ewDPENmnsS58fhyYC/9ngU+P474Hi80+1kQM3u/T3Olx6O6B+3hQFgyACl8PznD20pmMQiyGflG4hxTk6YPSgb2oJ3+a1yzrUQhFYsQkSmIkabqSDpavX9rhH94yy1veJ7j5fh3Fu3jMobdE9/T8oqB8FGRLxkw0E2dEEIdthBOz+4iNjE3KNtQ9xXAjJAgF882QkUXnhmEUXz4yXDsKzneD8HcH+EjN4c4HdlIZWfZUfaK9q7Tv8Q1LJ44xMjxPvdxivhNw/a0muw7aXHdnnUVVhzNX2qxdJqiVdbvdSnPwvmLSDnHtEMfSKYnrtHGcDt+6z+T33j/Ctn1VcFyE4WIZEt9UlFJg6+ZQcRi4ZzqUNTuy9/i7ntoDcDyO/hsEcOGHfWlJRhOK/pPiOGZlAOnZiNdxuXZBk/K0t4EcfDB4q8L96wdzvEajd9JkisWMnSn4v2d1TLZdIzZSGjddm2L2tk6sWdzhQ78/w+++X3HjvXpWsy08pNACK6H9FQqvp9J7nkwtXKuUTM7YmHDqhoCJkSmuu1Ow87DNjfeVOdyyCKRJeDhmxZISZ56xYtfi5RNPRd1HsNxN/3mA6ycpqUebd597Qu03x+yVt/z7dU/x5BGfRlsw06qw/0AZz7FYXlNM1sG1JXGigWcaCtNM8+40cru2BrhtBzh2F9/rYFsdbtySgvupKsr1kIaNY0gqpsJLNca2cfxKv+yym7muZoboiSo0LbJ3XfQuy0/7dPty5wXWZRQ/0mM30t8u5O+iL/o/7VEAel9OLuhDba+72KMO6f+Q34dY4G/0d1+Ld1z0qumJnoopUM/RQEfvOF+Clf2eZjlWTXZ4/+/O8bv/CDfep5tKLddDIPVNJGQ+4TKlEq1YP18podOxOHB4GBW7vOSsJr7X4HUXHmamJZlpDPH4boFdO4Pbtri/OXXjw7vf+Curvid8vyfAzz1lFa1WE88rHdixz/zO8tEdFzrGMb5wW4U4tFk3oaiXEmolQb1iUi0buDbYlk5NNLi1E5bjhDhpSuLaXSp+i0NzXe582OJdV+jIrVwP07TxDEHZVHiGwjEyEb3SO4AK6Ul2ZKKdSOgOWjLw5kM6EVP8nnqaJ13MsemBeaEWfv7zBfjxPnAXHmsfgEXvsTx91O6tMcl3tGZ8+QJ+aKr4NJQmzMUCjy0/KTLRU6oFiVN1X3bkw9ipm1icRvDYTIGuZGrsJFm9uM37f3eOd30yYfPDCXtmoOl5UAC5EORrIE0DwljRDRNm5g3MIzadwGCm4VArl1k81mCk0uLKrSaCRbzoohO/s+nk8w50u22EWfrhAQ5QKvlsf/SOHUsXVT7wvAtWXfipL+5hqDTC4hrUfV3pljyDqm9QK0sqXiprtHXE9pwI145w7RDX7uLaXWrlJrsPhbznMz7Xbq5xZL6M8krYpolvoBfPGlrRZqcAt/pWo/SazIoel6plmPrdVUmvYBN94Na2C4ORcwDfOUCPA0YfyHvAlukPe3n6gll/D1gFgBU/7/28l4rob2bMSNEwf+B38oco8maWyO6xMMQt0nND0jNnimNJGBlEkUxlzPrh97Z2ZNujE+JEYCW9KJ5kXjiJ0CD//QbX3xXw3k8nbD8IzZKL9mTpt0c2pMLsqnRSS6AwCUKTRksyNWcz3XCYGJ4G2cKpnUBX1T9wyx337rj42Wd9P9D9/gAOYJZWYDtDd/tDU1cvXjR92enzh1k5aROkIpmSK6j6UCkllEsRZS+i5EaU3BDXCfEcHbVdp0Ot0mLPkYA/v6LMF24eoiPKCM/FMUwqpsI3Fa6pI7ed7tu00rNdpyjp8IHoBcI4hq7UkyohQnfJUtFPBtQMFpkp+9Nf03tA732hUu47fYPkwOYvyCNlJrYqdkMXQngxVy4CXetHCtE76Z2MGdDpA3WPlcgfd8GSuugW1muXq7QLmq73Vmjr5FAShgZR3Cs+9WYNhSklRiqx0Eb7cd9S2ky1qJRguCz4xUs7ONYR3vVxxc5DNeb9EkoZZPsxe49TgYpJYk0TBqHBfEdfJcLQZslYnfWrF7N49fqrzzhl5d2t+bnvF7bfP8BXrViMUo/vXjxx+ltP2r7NGHKPvhxmeOyJCmN1h9F6Qs2P8b1Yj/g7EZ4d4joRntPFdQJcp03Fb7HnSMi7rqjwhVuG6Zg+0nHxDINyEdxmti48jd6FNYU6TRF9OXgcgwy1ai1R2kWpG6eai7yrqX08SDQ3q4Tqy1+PQ3dfzt2Lx30pSPa1HEhjRIFSXOAMKlJ0Kt/Znp58qbFPP8+dKQLJ2/J9epQF/kqPlsv09T2PmcyiIwNxGGtdSKdr0u7qNTWkVwGZaklMQ2HGgthIjZwSkaczer1hcSOzpORJXnVRB5Uc5V2fUOw6rGh6JUgN37KTOU5U2sXUdmxBmDBcsxgfCXhod4d25GBVh79y0pKz3nr7gwf2nH/qih89wPULtoFb77htz9IVZ2y9/vYjL3/s8QYnLBWM1mKWTwRU/QDD0NoSy4wLjEmA53SolJvsOxbyrk/UuermYbqGj+E4+IagbCb4psIxs7SElEPXK8NNcxDkevWcNDSwEqWwuoq5VsJMWzIXCSI035uNU1mplYGQupmQiILN3iC4sw9F9mQAvMXWe//Hge8NgC+j6/qKw2LOLXpFs1DZJH0xH6ePQtR30l+VFlMsbZik8ukoo6C3B637MAyYm3eZnTdpdWWqExf5VmnTANNMsAxBbAriROXgLhaoemGtzPd6ljyDn7u4BRzlTz+m2H1U0SyViJWpPQpjRRAntAKwOmDOK6qetmNbtsjg8ouajI8PMbT41K1qbvOe80+98AeB7A8GcADXn2DNyiXvXbl012ozDF67YWmDk9bOEMTzhCpm2ZiOBlLovMq2Qlyng2W2uOuxhI99eYjPf3uEwCpj2RZlA6pWL2o7hahtmxTWgmuQ25mQyxD5huUM7EIqDLtFy5rnwJMWQWwjDBNbCjxDgUwteQcouSJSFqIMi6zJcSIskepCBr4nitVl4Q6LDZccmwMAT5SO4kIU7JIz6hB6AqwCJ95fS/Tn20Wvdb39OUr3h2qZRJJEPHHQ44kDPk8d1q344tXSMvUUlhUZxFZClAjiJNGTOHEB5GlE77EyugAtuYKfu6gF8RQfuSZiy46YlioTJRadROBFekAljBWrF7dpJIoHd+ucfXx4JZOLN165bMOp7407+35QuD692Orpjo9/9AOcdOqFXb+8+PpNS5+8eMnY/uV3b2/zxZsNjs5GvOKCaX3mGDGOHeB5baTZ4l+/bvDGvxvj3h1DRGYZz7GpWVCzFCVLaemtmYqzLD0YYVuZGlHrEpxcfmvg2HqIouQa+J5BrSpZMqZ44bnzvP7S/TTnG2zdJomUXuWhUsPNQfFUPlycKhB76xBFbxhZZEPHIi22RD4QnImqDNlvDZGBvOix0is8+w8x8EnfyVKoNTLBUnFAubdqEfrWnBt6kKS3WjHV25sxVhZ47C6m0+I/bjJ4+8cmeOxJF0MlesQs3YmaJNoNViWZ3XGBQkzTm0yUlX1MlCQzXUWlm5iRnLQm5NXPmefYXMxj2w06sSDApJ1I5iNozLf53ctmeOE5IV0V8fheQaKGb33NZee+Zue2R+ZHF5/z4wc4wJeu+lfe+ce/FZaH1/zyP31u56pHttlsWFzl3JMUCU08J8a1E0peB2W0+Zev2vzJFaMca9fA8ik5JnVbUU2B7Vl6x6Fj6ZTENougFr3PbYljGbi2gesYqQmRoFJS1P2EkXrIUCVkvB7x7FPmmJoPeWCHjcIkkQZSiIJGvDdJnwM/+1oWToIUxIYoghlketUwsnpAyr6TQMp+BeBC4FakxWQR7AWKMitoFxqKPg7k+QLe/q3QvRSjt/nZMiPdPbba/Ps3Tf7inyeZag9RdxRWavWbX03SAYaeHUXxbEwbRAjI/d9lb+tEypenci5QkrKruPCUJtPzEY9sNwhCSSJMSnaHVRMd2vN1KvYw56xXXHqewYte/Modsw11xeoNz/3PQPUHT1GyY9nSDSRJctcLL7z4vObh73gjQ7NMNdp840tL+MXndzl9/TR7pkKuu8Plr/9llJl2GemU8G3JkKWLSS8HdMpzZ5dEQ1vm9lIUkQ9P2JaRgl3g2uA5WvBVKUX4boRpJHRDg0VjBq+9pMVXbu0w1XRIDJNAGOmMZmFIdqEcnAWaOnn0H4ikUgxE8WLk7m8U5a30AsKTFMQJ9LVei1E8m8rpeaEU7udpuPyMoSh6y2RLuwxDA7zRivn8N+s8NeUzPCSIY0Gzq2lAFCSxInb0FmXtK54WlcVuavpYElN7gMeJwExnLGNL20Fk6YpKW/xlT/Bnvz6PYyZcc1vCzmmbTZMmv/I8g/t3trj9EcWeI3V+43XPbq9YsfGuomPvTwzgk+NVgm77nT9/2QXqntu3/v4H/+OQq6JhTlpZwrOPsflxwd/9xwi3bC3TVR7SdShbGtxlS+kxNysrJnvMiJkXkgLLAtuU2BnA7ePB7TkJvhtTcmNcR4+5CQFRaLB8pMspq9vcdH8JEptIGsSI1GidgWn0p0NJf07d02CLQkE54JEiSb1RehjMC8tCnq3/RKp2LIhqcnAn+u/mq7BVj8vve9wDDz7XgWcKPtnbmCFSJsUyYh56wmD3lAWmTJkn6AS6Y5wVoBnTobvEsqARz062dMuykiRKpfvmBZGRDhFbkjilD4vaGM+RvOsNXS459yjv/qxJa3aE/QdHeN6pLeaCGR49tLazaMVF/9hqe39SLnv/aYD/p1KU7Pjff/lu9brXnvSdQzOuceCQe95pKzvGhWfMcKw9x99fVeU7D44SKG3A6ZqSYUtRsbVfiu8oPFvbMNumwDYlliX6o7elv5/n3ZYeZvZsRclJb24G8AjfDfHcVLxlBUyOdnjioMkt9/lgWSANTJkuJ8oNf3q5tlFIUfq/n30u0yZTFrElphSpP0eWsqS3gj1bUStTlBQMyl01uPtb/P1DGGkNIAp5d56uqHwszMis7wyFYfa+Lhonlbwun7nB4gvfroDlYpgmrtRsU371KbIyfa1ZkXP92dc9H3hBEuuPOnrLdDyuMOghFSAxDYulwy7LRmMefELx8G6TKLA5a9OSYGRy6Xsf3PnU/z7/jFOjHwaj/+kInh3791eDxcP195x1kgjuefjIXzz0tbY8PFNBdGq87OyILfs67D7i4UoomZmNm6LkpEPIZtq0QaQrojMducAystlOHbltW+DaCtdRefTW9l+6W+rYIXY68mYYEbNNODCVxbwEpZSOJnpCa0EO/HguOXs/i4Vjz2NQyAFwF06UIrDjIsATbUCvkp5QTBqiV7Sl2Xoi0pvMLJILgrLs/gbUgv0PnjyKS5nJVjMOXDE5ElMvx0x3YrqxohUJ3FBfRXVDKL2MHPeCyN6VK9uQJ3TqJAtXOin1kEsU6SJVM2sJjh0BAbsOGGzdsYihssVvv3yaA8f24xqjSSva+BdjQ2v+oWpMBT8sPn9ogL/gxZfx1Ruuba9ctfpqYYk/v/KaWxBJjcsvEoyOzLL/ywm7jxhI4eCYOur6rsB3tWeKbeoxryRrtSuVA8ZMo7nOwQWuRZ6auE6C58Z4aVPJdUIcO8JOBydsO+LeXQY33Wun1yn97ifprc93ewDcfXpvFqIAC3ZtGcOS0mqZlCDrtGYSXhnrdR5653pCFOuWu77vdLGUoYcJDHp5fCxAJjpXV9m+Snn8RE/2SFX+iAtDaFnKUnB7jWN47pkhm5YF3PpISGzHzMcmbiQww8Lm6vy+ksJzT69mUhCmvQiZaAI/gsLAi/aQD9zUx1wqbCtGJSCIODwj+Y+bYKJS4mXnKxbVpqhNnKNGR9deHQaz7Re+8JU/LDx/eIADXHjmcvyRie2PPWK/2TPlRw/t3SKrtWm+/aCJbxi88WXTfOmmMVwLfAcqnqTsydSjULMP7U5MoxkRJ+SbzAwjjeIpXejYGtiuneTA9pwwvWkpgGMHOHaAUhGP77bYP2X1heV+B6aCXdpgHpuDvd8yQvbl3D1WJdvEa+SdVpWDXKGny6NI0IoV3SAmijRAixSkUgkY2voiEULv2EnNeVReGPdbuPW3jLKjN8WUtcJ7iUR6oieSyeGAdSsDbn+8SxJZtKXBjNDrTzSgexM+GvBJXmRnVywz1o8PNKDDSNBsQ6ujn5drS4JIF5qGVLhORBDB/7nO4aSVHheeFrB561Fu2Fzl+Re/LKkOb3zzdLxpuyme+lFA80cD8PLoKTzy6LagMXL+Feef9kDpK9O87wNXSVaP1/j1S0JazHK9CWVXUfZkOrBsUfEl5RKUXEWzrbj7EV29e07GUqQgN7U60bG17UQfwF0Nbs8J8NwuJbeN7bTZfhCuu6VEu2lAqSf26EVw0cdoHIdxMRi1CwPDhWIy47+z6G2mHdjso5FSeHGs5aNHpmPmm7FeviWywlqRmCmVRoL2d0mHAtJ0KlH9V52Fbhnc+3pMOU2pCjfNcZd8xcsuanLnAw7b9ktiBA08tDmxzNOZoiOY5tXTq2uaa0O67s/RrgmPPAHNdkLJkfglkzCWKGWkALeolk0eeMJmyyOjvPQ8xRtfeZDN2yts2Rn+j8svP/OKA089GS9euvZHAvAfqsgsHh/+8Af52z9+gxqZOHVsz6Hqy+aPTTvnndhFmA0+9VUHT9hM1iVDVYNqxaJekYzUYWI4Yu3SeZrhIW7a4mHJzDhIpny3xHMy16xEO/17WsSlvRIDfK9D2W/h2E0OTQd8/iabt3+kzl2Pe0S5Ib5MLd0MLNErNE1RLDgLkTjjuzPwGuQFpWHI/GNmdWCamg2yzGzAQ5+MnqPwvYixoRBhdLjr8YRDx1JqLaFPCZilK9qBtjeNXqQnZSHHl0YmY81SowLvnRkpGarnNZPeDCPSOblSrJyIeP45bRIRc+SYotOEVmwSI9NZSkFxIDvvFRjp4HdqDeI5ino5ZNHoLLc/3uCxJxyMtO7ptXIloD10Tl7dYMtOwe6nHJZOTPDiSy9pnH/+cz8xNzf12JIlK39UsPzRRPDe6VLmwKH4K8959rm/s3GZ/Me77/ny8BVfiQm7FdYvNhmpGVimpOIbDFUUo7WQieEOyyeP8oGvCA7PSmqOyouVjDbMorfr9Efuktul7LWp+E1i0eJfvm7yuRuH2fxQiUAYerg2NwzRW70SpQhTX5EFzEiPH3BIW5BF8VR+mU5vMo/e6QyqpW+urdeel9yIydEmWA2eatSYOlZmST2h5CicpCCWSvNeKRVJrKfbs01qxQheTFMGzYJ6D17lkTtv18tekZl5hVtSsnEZ/P1bG/zCQ22u/FaTf/vGCI1OFYWVNppkyqOnCwMMbdwUmTKtm/RrYpkJY0MBzz9rjq/dVcM0BImK0+dloZRBs23S7lZYvzzh1158hOs3VyiNXXJsyfJzfm++0f2KW/3eGu9nDOBDtREAms3pz2w8+Vzz1ofb750cuWNs6VCH5YsEs01FtyvxPahXYkZrXZZNzDHdmmf/9ASuVaDmMrow91ZJAePo6O17AVW/Ta3cYMuOgGtuK3HFV0eYnveRruZmibsQBBBHYEO2wjuWBtkCuwWbPAWg95o9oi+6FrnvrLA0U9WjZWr2IAN3xe9SK7c51poniDymW4KKqxkKlUVIenRfbChkojCU9vdTiehp2xfQji8siUzZDApaFKE7mY4dYtkhSSzodh2C0CZRknM3Rmxc3mTFZMiXbu1w97ZRUE4uE9B1RapLSSe1wlgb92iHWEm3azNZh1ptjt1TQ1gySYV3EteWNDsdnjxgcPBohXNOGeJP/vs5R5z6uW9vB8FnRsZHf6Tghh+F1+8Ch+8PMT2rPvXzL3neH/32a088cvEZHTauOcKjexp0g4SylzBUCRipt/DcGT7/HZede8tUXW0SZFkSy5Jpqz7Lu3XkLjkRnhtQ9trUKw3u2Rbwto/V+bvPLaUVDzNc9xgpOfiWi4nkzPXzvO7SGVaMtyAJQEUkaIPIIi76RVa9oYXBm8yozLw4TKN3Ni+aRnHL0uZG2aCHYweYMkLEMe0IWqFuqmirhNTHL9LS0ThWOZWYJMU12P0yWSioCxfIxzOci1xJGGMZIfuOxPz7Nx3u226SKEm7U2Zmrs6Bo8MIVeP3L0/4+zcd4dknHKbR6jLVETS6glYgUlMefQvChDDUnoOZ7VqzbbNuic3PXzhDM+xysCGZmU9othNcR7FpzQyP7J3j5gdj9sydfmRk0Uv/yLPVp+q1oR8HFH90Ofjg8Tfv/Wv+4LdP3zI6LI8YTF903/bD3mO7aqxdarN6acDi0XlWTE5zw70hH/jSBCVpM1FV1HxJpWTilwx8T1D2FH4p0cb7XpiuE28zVG1wz+Nd3vGJEe7aPkG94jHhw3hJMVZKqDqKU1a3eNcbZnjza5oIGXHvgzbtyAbTxJFSe6tI8p0yGb1n5hqTLBcXhe9LfUuVjFZqT25bupdkWwo7dfBybd1d9dyAmt9mar7D9beXeGqmTMkW2Ea2L6iogelv/+caF6N3Zcvy7fz/pBsy8uaOQa490ZZ4MZaldfmtuMs//FuFP/n4Ih7cXWbJiAVxnZl5nyCwCCKLMLRYPRmzadU82/Yqdh5wQZp6g8PgzUjt+gqvhecoTl7dZO/RkHu2lbUdm1BUSpJViwWHGk1Mf82xWm3ybXc98MSnLjr35B8XDH98AAf4u/d/nje8/oUPtsLq3h37/BeMlzvOOSd1mBieYXxkmvn2PH/z+TpP7q+zrA4jFUHNN6mUTMolSaVEulUrplIK9WYJv0PVn2fLji7v+ESde3aMM1x2WOQnjPqKkTKMVgXrl5q85FzJaet0W3/1ZIcHtwt2HvBQhoNlaAmtXUgtzJzqExp0GbdtiL6baWQUptD/L9Wq25YuMN3UvcspcPQVv8PUXMB1t5fYN13W/umGwsqvAsWOaPa17J1gogiqVDlo0A92o1hoZmtgMm1+iGN3uOUhwV9/doJGd5hOx6fVKCOoEMU2UWykYimDOJGsnow5eU2Dx/dKdh0pIYVMi3M18FhkzotnRfrEcMRIdZ5vb7WYahkkSjE3r4hCg2edtrIxPr7sdxR89n++6dXqhwbadzl+tEXmAsfWnaWkG7lXbljlRnWXf/HkFufeHTbth2qsmBTsOeQzXhKMlBVV36BcMimXDHxXsyaem+SjbyW3S7XcZLrT4q8/W+Xux8YZrjlM+AlDnqJWglpZMlQxWTJu4TuSI9MRQsQsGuuwfmXIt+6P6KiebXCelgzQgtnPekdhXE2IPsGVkY50GX0KvtQKOt/SHJNnz0oRKr0BOEoUcZKlJhAbmYl85hCg05WeY1W/BiWb9ikqAMm+p3pJl5QKRcK2J10OTJWpD5ksriS0miZP7je0L3eo9SNac6Lv58y1M7zzl47ypr+1OdAcxjUFtiGwDJWyRlrXoptyEtM0cGyXWrnMkrEuG1ckrBqLaQZd7nlEstHc0PH8pf/t9FX1LxyZ7ny/zh4/vQB/7Wt/iWPHjsaW7d0+P7u/cfPNcNuDe51nrXeY64RUHQvPgeGaQb1iUisbaeTWOhPNmGjWpOx1kKLFl26xuPXxEcpll7GSBne1BFVfUPX1/fie5rvDyCCMLFRiIdNBxx5hVehMFj7v45IHjuLAQ9EkM9OE9PQgWRSNkTLWDq75jFlCnBhECSm4e7devn28VqUH4KxqIEd0XxFabOUX8naE3jkvMPHSgW4hFM12xEzDxjCMwkmun4dlJpy1boafu/go//RVh2OdMq6RKT01cyRlnDI2JgKJIS1818e0u1QciQo8zlkTsGH5qo7pLPrlw62hq/feMxv/zzf94o8bfj+eInPwKFVGKPmlA4sWrz758NyaXzlr4/qWYXX58nc8yobNqkUG40MWo0MmwzWolWPKXtaGj/GckJLboVpusvXJmPd8dhwhyoz7ipqbUHbRm9w8Q+fvnqTk6DcnG65FgcqnjVPbgoLNcs+Y/fgIvpA+pb9t3wNET5edzUD2Bn3zSWeliFJhUpzqrXuKPVUAd+GxD76oRdWt6k3GJ4U5yTifkUz3kar+k1gpXdh2ugnNdkyjKWi0JI2mSaNp02i6zDRKRFGFt72uw6mrp5jvBMx0Ba0AOoGiHShanYS5Zsz0bMiR6YSDU5Jd+0t0OnVecV7EfNDC8U5sXfKsFa+/6tvnf3HYnv+JgBt+AhEcwLUEQPzBj33u4OTab3y+dfRC864Hln3UiI/Wzt5gYpoW9YpgrJ4aeRoJplSpE22MZ4eUS22ONdp85Mt1WmGV8TLUnYSyA74Lvqtb/yVXUnI1Z+5YWtsspULIBGlIEGZ/Lmn0uo1ZgTcYvZ8uSczJleIAguiBWoreTQwgMslWfShSAVhPTKUp+8yPUC389wfPujzyS83AxDK9GelyJ63FTmLdC4gURAkEqWVxu5Ok2zdkKllWGGaCaTpYZsxILeB3XtngiY+XmG2NULYknhVjm/qKGAQxzXbCXDOhG5i0uwb7j3qsXw6//orabCDLb/rUDf/6+U+8zeO08177k4Ad8BMCeHa85Y0/z0c//XFWjaz490ueNW51g7l/2P3k1hEZdVm9JKZcalIvC7qBycy8gxBanOO5Ab7X5KPXulx32zjVisWQE1NxFeV0xbgGt0HJFXhugudoNy09AB3RiWLmAwslbRxDaAalUFhmTEZu5knRpiH7p5caFPP2npy1uOt+wKKhD5CpZCAfIu5F7IVov+zoTfcIhEjyR5inI4kgiRWR0OyLEUui2CCKJWFkEscmvh3jWgFB5NKNBN0ooRMktIMYu6PFb6YhsQwD0zAxDUdv4TDLvOS8kEd3T/F3/+Ez65SoRvqxB5FiuiUIQk3/Njo2y5VkxTKL8ug5U6Y3/gdSlf/9tc+LOO28n/9JQu4nC3CAN/3qbwHwyK5D/2KYpmk6Y++JZ28cOzCzn2O7Qy45S7HtKRtil9G6xDRiapUWN21RXPntUaTrMuLotMR3RApoiefq6O2lxambctC2FVEpddm1V7F5a4kAmxET3NRQKDMVMs2eFUUxvc2ltQXgZaDKc/XCKu3i1riegk+r8XIPEFQft53l3plWfMHOZIrworKxT5JL5u4lIJbpzw1NF0YmQWiRKJuzN7VYt7zJtr1l2p6gGwo6gU5TnHzbhpEWjGba1LExTQ/binj1hbPcvW2KWx5wCEo6F6/XDKpjHbbtFpxzSpM9hwNCsYiXvfCiIxtPOe0dEP2LEMt+0lADngGAZ8eJqydQcfuT65deLO67P/rrqz9+09hkqcVjexp84toSl5xqMlqPqJa7dKIW77t6hN37h5iske5KVDodSQeP9Uct3Co5uuPp2BFu6lz7yF7JwaM+tmFq7xVDT/HbVrbWUOTT8RlgFKrXKi+kEAspD4uS1DxNKUy093tH6PvSObLKgd0nqIL8bOpPhVRePxR33kN2okitNVciv6oYMqFrWgSBzeRIh5OWN3loV0gjdKiEAi9M6HTBNhNMK045bYllSEzDTEcKNfhXjEe89VUNtjzeYLpVY9kwrJq0eO45M/zTNSYlWeXy55qI6gVHFq147h9Nz6hPDg/95ydyftjjGQM4gDA8tu5uX2HVL4p++TL/ffHsTUP3bmsy4rtUfMFIrUOUNPj7qyo8umeE8apgyE3SaZ7eiuiSa1LyBCU3oZQWpjqCa2pxrhVy3R1VjnR86h74lh6Xcy3wUimumeYmSZKtwevtYJdCEUtSgxuV68nz5zEYWQfSk96QQXoolXZTxXFdyl5xWRTFFCZ7UpGVUeicZvYSOtfWjyVOknwszpDaBLXVcaiVHV5yXptr720y37Vp2YJSIGin3VezkyocTU37aW2NgWVamIaLFIp1i+Etrz7GJ66zONIo0Wgqjk1XWDnZ5GBjEa/acOH0iSed9DZptD8txI+nQ/n9Hs8owAFOWuGhkugzJy0749g9m3evqRxZ+TerFz1grV3axvOm+ei1Np//9ihDpknVSdK2PXi2SKfqCx1PV/Pm2k1LN1hqlTbX3SW59cEaprSpOalNhZ3tUdcT/KapWYZuCGFXLy4VQGJk2vQe26GSXu6bw1D0ikwhe1M0egW5yqdo9JmhCz09H5pFcdE/xjaQe+ecuyzIAUy9VAABYSjpRoJOqJ+HaUiiWNPM2notwTQcfNfl/JO6XHryLF+8o0zDtfFDcEKwulnBHacNLS2Oc2ztZGCaFlEiKbkOv3DxLIYxxWe/Jnh8L4wPmbzqBReEdz/m/OHY4rN2BqF3nWc+4/B65gEOIKSZ3L55+1eM8svtZ522q3X2BucjMvi2+NdvC/mFW8ZYVbdYOQ7TTZhtaPbDsXT09j1JpaQol7RtXMnRGyccO6Tqdzg6G/C5m6vsm62wqAIVS+VXAN/Vw6+uI7FNiZAwPZdwZDYiiET6d3RubRik2hCVG2BmUbYv15bQZ9mQOUjlo1+aJlFKpctTVTqNrgZy8J7AO+faM4mvobdmuKkcIHMSmG0aHJs1kFIL1LTSz0yFXHpcrNFyGa13efXFTe54dJ651jBVS+IEWlqbbUETQpth2paubaJYa9SPTFtMz5VZMWnzc88+StCZ5rYHvWR0yTlqdGzdf//vF6z5587cgcDz1j/TsAJ+Qjz493M8+1nrWDpyNFi3etFnNp2w7MSZ4JT/1WhuYNRLOH2NwUsvUKxb0+JYWyGkwLG14U/V18rEejmiUopwnQjbjtMRtg53PGJwx8M1fMtKNzInlBz0zZX4Jc2dD1UtloxbnLYhJpBd9s4I5tqCdiqIiiJSEVQhwmajbfQ8Sow8B+81eaSIkSIrMsmlu0HazczSoThnUgqT+Gk3MrcwTqO3Y+sOb9XvMjEyhzCPce+2iP2HI47NJcylnPZ8W9LsmLQ6Jq2ORbPt0Op4nLMRnrVpjlYc0gwF3UiLv+Y7irlmwlwzYr4V02wrOl09glYrt9i6u8G1tym2POZxeMrh2aes5DUv2vS/qsPLT5T22Gce3Ho48Go/HeCGn5IInh1Llq0HaH/yX67Z9oLTL3nPlifushcN1d+5uLbb2Lo35AVnzvDkvhpGVMZzJZWSYKQWs2ikQ7kU5J7Whkxw7JC5VsDX7/I5MFVm6bCe6NfDEyLlyw3Knta9VH0YqcWsX9Fm2dLDvOWDExxte31bKqK0pZ4UtyswmHuni20N7UGSTbIbZpx6FafdlTgkkiYdQ1BKRJ9ysK+QLc5BCnIttm3pBli13MJxZ3j/1TWe2hezcUlCPTSJIjNd1S3TSRwT00iwTZvZeY/F421efE6L7zzcphVYRK6+moRdmGtDq6uACMeWVEqaatyxT3HjloSz1s2y/UCdTRtPj1evqr5bua94z0T9znj16gueaQgdd/xUATw73vD6V/B3H70q/rM/+JU/a7cPm1++4Zb/cXD6QefAsTaOYVIt6amQalmxZKzN6NAxvnpXhG3UOHmVm/uR37tdcM1dNSpeGr0dVaAW9RVApzhQKycMVUJcO+Ls9SHnnXyMb927mHI27Byr1MpMHT8sIQoMR+b/l25rtq0A0wo4PJdwuGEyXo0Yr3U5FhpEwqJtWARxGsnTFv3g/ecTPVIrBS1TS3E9N6Tqt7npgZC7Hy8xYsPMfIIho/SkMxFCak7cUBjSwjQSLNOhMe/zwrOn+dxNTTY/WkEKXXCftK6J4Xa4/vY6USLw3ZjhmuTojIlfclk6HLFkbKz93AvW71130mVfWLls5M+sx0qsOOGXn2nYLHj8VAIc4H++6XKUmuHhR413PufZl8qLz1h23rU3fE6uX1k6b+roUbPdlYzUEirlWa7ZHHP1TTXOXFtm6YhgqNIhjGJ2HrCIk5LWqrgJvivw3NSwP+XOyx6US4pKSQ8nGFJRLwvO29Dk67dFtEoW5Ujns0k6Fa+SXo4ihOrt58zHxJLcHs31Oty7XfHuK4ZJgN97fYNEzfOXV9TZ/LhBx6jQNiV+rPK2fXGoAcinvfqLTO3e65fa3LPNYr7hUB/Wkddpa+13UXZrSr3q3DQtTFMx1/TwS21WTHa5Z0cImNTLgvVLfc48MUCIab55V51jDckJVkSj3UIZE9G6NfHm5RtfstU09vyOZZXU3v0NViyuPNNwedrjpxbgAELUs0//6J7N13DhuZdWVhyY/fhNd+76+TINuXj0ILc/GvCFG4dYOewxOWyTJBGWGTPfifj6PWXirsNYPaHqge8KSo7EcySek7IvpYRKKabs6agvZUIUG4xUQjyvTSO0GYpTM8psuua4x1mI3obCNGNsU9cAW3Yq3vlPE3z7jhpnbWowXG9zzsYY15jjnR+V3P2kScvyCeOesjBJeewM4nmOn21EMPTWOtcOaXYjDjd8EsMgTjSL0sw2JuRuYQaWqbubQuqi0zI8hqseLzxrnm/cExLGJlIK9h9xmTho8dqLjtBozXH3gzVOXVflrNOXJB215qpqOPRbrcZU45WX/9IzDY/v6/ipBnjxOOtZr+Dmu3Y2vFH3LRdfuG6HH913kkJedseDT7C4anPyWpNaWeC5MVW/w+P7EnbsKzFahdEK1MsGnpMaeDp6mNl3deSu+iFlP8B1IlCCILS4+PR5Vixt8/ieKmEi8tRhUN/Zb4ipcn90zw3YdyTiTz42xu2PTlBfZFKpmhw7YvFUJeLMdfP8xRvneNP7HPYe9ejYUk/e54Xm8QorzaZkVwqdg+98SvGdLRUMQ0/Bd0KQbW23LGXqJmsJbNPAkJpViSPd0arOlFm3pMnqJU22PeHR7ipm5xMe2G4jRZ3TVh3FsJdg1xZffdY5J24dnxx/P3G3IcyNzzQcvu/jZwbgAM85Zw3AUaUe/1N44Ypv37mLs09/8jLZfpxDU8eYb5Uol7rsPdbh8BwEoclYGcaHDBaNWoRhQjfU5p6eTW7aOVztMFSbJ4kN2l0bq+PiujauEZLECVHaQCnIuXuWJBRAJxWm1OkJosu/fcvjjq0jjNctltViltdLPHWwTMVtMT5scu7GkF+6ZJb3XlmnHXtESX+OnxTylJ4vS+9qYZkRYaIIui71lN9vBIJjXcFEogceHCvGsSWha5AkgumG4vC0oBva1HyPobrFWD1gdrxFo+tRcgKS5Bhbdkzy8kvP5KLnr7l6f/u033v04NzuicVLn2kI/MDHzxTAs0OIDex6cmr3yqWnva1sDX2mWlr31v/42taLrM4THJw+wrfuH+Ilzypx9saEqUOSVYst1ixrs2VbSKvjMVQROKn1W70SUKvO8MXbFHNzVc5eb7N8kcBz5/m5C9vc/0RMrGQ/N60YWKbU06DoAjMiiEKu2TyE4TqMeAkjZSh7krmWydSsi+eElEs+Lzlnlvd9sUM3cjVLc1zLvp8PTz9FCu2QddUtPp3EYkVFsWJUcurGLse6Da79Tg3LMPHd1GgoNvA9RSdp8dAOSafrsXjU5pGn6szPO7zh0pCv3dmiWh3jpZes41hwxi2jk9X3r1674sGTknC3MH72wA0/owAHWL1yBGBHnKgdUrB10QPB5MWnnPRPO3ZtWUu40zA5xpgf44yanLw2pMssD+x2WFrTy7J8Vzc2qn6XXQcDvra5Ts3yWDJkMFSJmBw1OWVtS+/0oWcfQfFDBux8J3uP/1YktAIH15T4Voxr69EzvQdH0u6adAMbxzIwRUA7VmkE7030FK0h+gaN09cgUYotO1yUMqi6ikUjJqesdChXj/HQriZHDtZYVId2J6HRjJFCcMqaBpsfM3joCYtViw2OtS3irqRk1nnlizbF61eeuGPN6vnfPn3i/APANvF0kx8/I8fPLMCzw9BKo21JeGxbEkcvjBK55O1vveCqLfd/rTozf8Q/e33A+OhRDszOU7ImWTRisG75PAemDNpdC9cO2H7A5NhMiZUrtOOTdmvSIdMomOYXlYZ5az432uwJrFwr4f9c73FkyqLiqNweWqYOVVEs0kkjk8Ujgl99UZOPXT3Wp0vp48QLR5J5b6ca7+whZbObs02blUtc1k6G7NuX4Dkmlq3Yvj9ktGYxVHOI1ByH5gzuftTnhedXqFQnm8+64MVzoQovH6ove2o2NnbXfsaBnR0/8wDPDmkNo5TafeJJY3uTeG5Ts3PpuWvXy4/H7W3lx3Y8UG83tzNRM1g5GfLAkw227Rri+WcJLCvGsRJ8R8tuHRtcOyZRAdfdWUIoA8/SIJWyZz6f+ZgUNyqkuQsImJkXxJHE8LIo39O1ZrLWJNEDzPXygK5bpSrGWDMqQL7KJFGk85MGAoOXn9vk0T0h7dAmCBNaHYNWxyEKQ8IoRkiHC04NeWjPLDv31xkZclgy6vLsk4YaiyfPOHbKWRvN06T6Tb++4s5FY9XZMCKxrf8a4Iafolb9j+JIjXmSA4fa04smlt3QPvboytUbX/4/XvmK33347NPO37Jh9eT9IyNm58mDVUar4HsdhIjxLIWftu6rfsxovcG2p7rccLeHaUjKjrY8cB29pjCI9JyNaWgHK8tQPZsdJeiGkl99cYdFE6HezgC5WVCmMc9a/XsOCT55vQ9W/1pE/XeSVDCltSeWqWh1JbPzFq22RRjbvOCsDuuXzXJoXjHXUrQ60OqYdEOIkoS5VsCho5IzT/CxS05H2ovvP2nTcx5++ct/+93XX/fZNbZTWz8+vuIGW3anhRD/pcAN/4UiePFYumQRQDI9FwPyk6Zof8owDE44cZ3hev5Hzjs7XD9k77vgyaf2GbV9FQ4fm0eqmLKnmBxr89R0m49ds4jTVkXc2QopeyZLx0wmxrrc+YhCtSQTw4qSCyPVEITKHVSFEESRRcU1MGVIUxWmfugNJoCO/rFKmGl5OFKA0pHeNhRBBMca2lFXKUXVj3GdFrdvdZgccvA9h1YHHthR5U0vifnotU32T1dYNx/T7iiWjAhOXW1yzskWtr8yPuv0yVtXrbO2NRrtN2/fH8eOXeLP/vzDauWqFa1n+v36cR7/JQGeHUPV3PYly2SjOJj5rec/xxk6cODoX+370jftJw7tiJ88LM/YsMY/c8nELLZ1hA9f41CSQ5y+ocH9j0WM1TyWjFuMj7eZvi+maliYBgxVApCzbN3lM15zGR9qoVTI1KxH1Y+48KQ2X7ktQQiRDlToIjOKdKSXIuLWrTaO6THiKpIkIYgVIzWTkZGAh3cnzMw7TI4qyl6I70+z/2iNJLQZrtqsmBTc8eAwp68u87rnHOKjX4K59gS1oXEue+6xe4drxn0Xnb3GWHPiCwNhjv1xJelOL56oPdNvy0/0+C8N8IUOw64DTANvArjySzdx8SQXWSJ+wfqljcvbwfING9eB1d2L68aM1xPWLm1imZJmKyaJE4SpteQVP+DmrSH3bpW8+kIQRpdbHhIQ1Tn/VINLTp/imu9ECGFpQVdZ0WhFlFzNqxtGxDfvrTDsWFx0oiKQXe57zMSxTS49q0O51uS2ey26gXb4No0Ez0qYnW/ywHbB4jEPwyhzbL7Gpc9Zj/JL+M7o44uXl6+qVeTXV69VtyxZ/bxn+iV/Ro//5wA+eLz2Vc8FuCUOpm4BvnN4OlxzqT2bPLD5i8nyZeOr3vi6Je/oNHcQRgZVdz++M4PvxCRJQMlp0+wIJAauE7Jtb8jXN5dYO+mxaXVIs2PTCQSNtqRehrHhDk8+Co7tUS6lrleux4gPKxdZrFjWZK4ZMN9xiUITx4K5Vki7Izl4JKHVNTFLdS44dYxGK8IbWcPKVUffQ7fxxPqNl8h1Jw/JRsvZieCGyUXP7CTNT8vx/zzAs8OwRwBuyL6ePXYE03TqMzMH7rjxTkXcMcIzTl/7+/6ofaltmPhuTOPYjRyZnmVyzMNxI+7dUWG2YWFMRrQ7Eb7T4cy1CasmjtFs1zCMNo22tjnb/GiTg1Mus7MRQgXMtw0m6hbPPyPhnodtmoHDxmXz7N1U48XPfQ71qsRxYxgW3zh9xcz75pqxVR45nd86a+kt3W5npjYy/Ey/hD+Vx/8H+NMcteExgBngGoD5ud0IeKw2IieklEkSB9x2290cne1wwmITwxA8NaXC173iwneV7c7LKiNz4aizmNe/bJxquc3egz7LloecGUhOWCbZczRkXpmcfuI8Jj4nrKhY3pBz7fj8V95lWaaVKJPlE4KVS0qcuOlEHNvENIUcmRSHEDyxadniZ/ol+pk4/mtxQs/wce/dm0GIiSNHDtdGa3PKL02zd/8Ithuw+4DD6iUR2/dK1i6GJw4rXMviqSMNHMNl+WRFTEwsmlVKHXrWs37wldX//1j4+L/XhvyycjOmnAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzo1NDoxOSswMDowMIISi8IAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6NTQ6MTkrMDA6MDDzTzN+AAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 30053623
{'hecke_orbit_code': 9007336827912342, 'n': 1, 'trace_an': 2}
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