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mf_newforms • Show schema
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{'Nk2': 1716, 'analytic_conductor': 3.4255822467129287, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 143, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [429, 4, [287, 79, 67], [4, 2, 3]], 'cm_discs': [], 'conrey_index': 109, 'conrey_indexes': [109, 307], 'dim': 28, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 0, 0, 575, 0, 0, 0, 65769, 0, 0, 0, 82143, 0, 0, 0, 25707, 0, 0, 0, 2857, 0, 0, 0, 99, 0, 0, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 824667275693, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -1, 2, 0], [1, 1, 13, 4, -1, 4, 0], [1, 1, 143, 7, 1, 4, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '429.2.m.a', 'level': 429, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1716, 'analytic_conductor': 3.4255822467129287, 'char_conductor': 143, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [429, 4, [287, 79, 67], [4, 2, 3]], 'conrey_index': 109, 'cusp_dim': 104, 'dim': 56, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 824667275693, 'hecke_orbit_dims': [28, 28], 'label': '429.2.m', 'level': 429, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 11, 13], 'level_radical': 429, 'mf_dim': 120, 'mf_new_dim': 56, 'num_forms': 2, 'prim_orbit_index': 7, 'relative_dim': 28, 'sturm_bound': 112, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 4, 0, 0, 48, -8, -72, 0, 0, 0, -24, 0, -40, 0, 0, 0, 8, 0, 0, 0, 0, 32, 0, -4, -16, 0, 0, -24, 0, 0, 0, 0, -48, 0, 12, 0, 0, -48, 32, 0, 0, 0, 0, 0, 0, 32, 0, 0, -48, -40, -8, 0, 0, 0, 0, 0, 24, 8, 0, 0, -40, -48, 0, 0, 0, 0, 0, 0, 16, 0, 48, 56, 0, 0, 0, 0, 40, 0, 0, -72, 0, -72, 64, -16, 0, 0, 0, 0, 0, 4, -200, 0, -48, 0, 40, 0, 0, 0, 0, 0, 128, 0, 0, 80, 0, 48, 0, 0, 0, -120, 0, 0, -152, 0, 184, 24, 48, 0, 0, 0, 40, 0, 60, 16, 0, -8, 72, 120, 0, 0, 0, -32, 0, 76, -72, 0, 64, 0, 80, 0, 0, 0, 80, 0, -24, 0, 0, -16, -8, 16, 0, 0, 0, 56, 0, -64, 0, 0, 0, -16, -224, 0, 0, 0, 80, 0, -52, -48, 0, 0, -24, 0, 0, 0, 0, 32, 0, -64, 336, 0, -256, -160, 0, 0, 0, 0, -104, 0, -40, 0, 0, -48, -32, -8, 0, 0, 0, 0, 0, -200, -32, 0, 0, -72, -216, 0, 0, 0, 0, 0, 0, 120, 0, 56, -272, 0, 0, 0, 0, 112, 0, 0, 240, 0, 8, 0, 200, 0, 0, 0, -64, 0, 48, 0, 0, -176, 0, -192, 0, 0, 0, 0, 0, 152, -192, 0, 328, 0, 56, 0, 0, 0, 192, 0, 0, -8, 0, 136, 208, -112, 0, 0, 0, 80, 0, -132, 64, 0, 80, 32, 0, 0, 0, 0, 128, 0, 120, 0, 0, 152, 0, 16, 0, 0, 0, 80, 0, -4, 0, 0, -80, -64, 16, 0, 0, 0, -16, 0, -72, 0, 0, 0, -104, 224, 0, 0, 0, 56, 0, -136, 360, 0, 0, 296, 0, 0, 0, 0, -448, 0, -40, 64, 0, -24, 112, 0, 0, 0, 0, -80, 0, 104, 0, 0, -432, 32, -200, 0, 0, 0, 0, 0, -24, 64, 0, 0, 352, -184, 0, 0, 0, 0, 0, 0, 176, 0, 176, -16, 0, 0, 0, 0, 32, 0, 0, 104, 0, -128, -48, 184, 0, 0, 0, 24, 0, 160, -560, 0, -40, 0, -240, 0, 0, 0, 0, 0, 12, -264, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 144, 0, 40, 0, 512, 0, 0, 0, -456, 0, -32, -320, 0, -96, 8, -48, 0, 0, 0, -344, 0, 52, -144, 0, 32, 0, -232, 0, 0, 0, 32, 0, 176, 0, 0, 176, -208, 176, 0, 0, 0, -112, 0, -176, 0, 0, 0, 344, 416, 0, 0, 0, 24, 0, -80, 96, 0, 0, -248, 0, 0, 0, 0, -96, 0, -16, 48, 0, -344, 0, 0, 0, 0, 0, 112, 0, -104, 0, 0, -240, -456, -160, 0, 0, 0, 0, 0, 32, -312, 0, 0, -16, -72, 0, 0, 0, 0, 0, 0, 0, 0, -72, 160, 0, 0, 0, 0, 48, 0, 0, 176, 0, -488, 160, -48, 0, 0, 0, -104, 0, 124, -120, 0, -40, 0, 16, 0, 0, 0, 0, 0, 252, -8, 0, 528, 0, -40, 0, 0, 0, -480, 0, 0, 8, 0, 304, -160, 80, 0, 0, 0, 104, 0, 120, 160, 0, -248, 312, 768, 0, 0, 0, -64, 0, 12, -64, 0, 240, 0, -144, 0, 0, 0, 480, 0, -32, 0, 0, 240, 88, 272, 0, 0, 0, 136, 0, 24, 0, 0, 0, 248, -128, 0, 0, 0, 8, 0, 8, -112, 0, 0, 0, 0, 0, 0, 0, 944, 0, 192, 336, 0, -304, -416, 0, 0, 0, 0, -168, 0, -184, 0, 0, -40, 168, 48, 0, 0, 0, 0, 0, -480, -48, 0, 0, -80, -304, 0, 0, 0, 0, 0, 0, 496, 0, 40, -320, 0, 0, 0, 0, -72, 0, 0, 96, 0, -16, -224, 464, 0, 0, 0, 0, 0, -8, -128, 0, 0, 0, -648, 0, 0, 0, 0, 0, 64, -224, 0, 320, 0, 224, 0, 0, 0, 176, 0, 0, 296, 0, 368, -24, 208, 0, 0, 0, 16, 0, -532, 64, 0, 40, 304, 136, 0, 0, 0, 24, 0, 88, 16, 0, 416, 0, 48, 0, 0, 0, 64, 0, -136, 0, 0, 56, -392, -112, 0, 0, 0, 128, 0, -184, 0, 0, 0, -128, 368, 0, 0, 0, -304, 0, -352, 208, 0, 0, 256, 0, 0, 0, 0, 0, 0, -32, 520, 0, -16, -784, 0, 0, 0, 0, 32, 0, 96, 0, 0, -200, 40, -288, 0, 0, 0, 0, 0, 144, 376, 0, 0, 136, -336, 0, 0, 0, 0, 0, 0, 168, 0, 0, 112, 0, 0, 0, 0, -72, 0, 0, 272, 0, -496, -144, -200, 0, 0, 0, 88, 0, 136, -416, 0, -456, 0, -72, 0, 0, 0, 0, 0, 12, -208, 0, 64, 0, -848, 0, 0, 0, 312, 0, 0, -16, 0, -216, 112, 8, 0, 0, 0, -272, 0, -48, -720, 0, -96, -48, -528, 0, 0, 0, -216, 0, 312, -96, 0, -160, 0, -376, 0, 0, 0, -192, 0, 232, 0, 0, 880, 0, 400, 0, 0, 0, -88, 0, -80, 0, 0, 0, 672, 288, 0, 0, 0, 56, 0, 4, 80, 0, 0, 424, 0, 0, 0, 0, -200, 0, 448, 48, 0, -24, 192, 0, 0, 0, 0, -176, 0, -416, 0, 0, -440, -432, -48, 0, 0, 0, 0, 0, 24, -448, 0, 0, -168, -168, 0, 0, 0, 0, 0, 0, 40, 0, -104, 320, 0, 0, 0, 0, -472, 0, 0, -80, 0, -296, 304, -144, 0, 0, 0, -88, 0, 120, -928, 0, -432, 0, 168, 0, 0, 0, 0, 0, 408, -256, 0, 656, 0, 536, 0, 0, 0, -616, 0, 0, -200, 0, 304, -152, 368, 0, 0, 0, 536, 0, 128, -48, 0, -48, 504, 688, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 10029181
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 28, 'source_embedding_index': 7, 'source_hecke_orbit_code': 824667275693, 'source_is_minimal': True, 'source_label': '429.2.m.a.109.7', 'source_level': 429, 'target_conrey_index': 109, 'target_dim': 28, 'target_embedding_index': 7, 'target_hecke_orbit_code': 824667275693, 'target_is_minimal': True, 'target_label': '429.2.m.a.109.7', 'target_level': 429, 'twist_class_label': '429.2.m.a.109.7', 'twist_class_level': 429, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 10029182
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 28, 'source_embedding_index': 7, 'source_hecke_orbit_code': 824667275693, 'source_is_minimal': True, 'source_label': '429.2.m.a.109.7', 'source_level': 429, 'target_conrey_index': 109, 'target_dim': 28, 'target_embedding_index': 8, 'target_hecke_orbit_code': 824667275693, 'target_is_minimal': True, 'target_label': '429.2.m.a.109.8', 'target_level': 429, 'twist_class_label': '429.2.m.a.109.7', 'twist_class_level': 429, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 10029183
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 28, 'source_embedding_index': 7, 'source_hecke_orbit_code': 824667275693, 'source_is_minimal': True, 'source_label': '429.2.m.a.109.7', 'source_level': 429, 'target_conrey_index': 307, 'target_dim': 28, 'target_embedding_index': 8, 'target_hecke_orbit_code': 824667275693, 'target_is_minimal': True, 'target_label': '429.2.m.a.307.8', 'target_level': 429, 'twist_class_label': '429.2.m.a.109.7', 'twist_class_level': 429, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 10029184
{'conductor': 143, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 28, 'source_embedding_index': 7, 'source_hecke_orbit_code': 824667275693, 'source_is_minimal': True, 'source_label': '429.2.m.a.109.7', 'source_level': 429, 'target_conrey_index': 307, 'target_dim': 28, 'target_embedding_index': 7, 'target_hecke_orbit_code': 824667275693, 'target_is_minimal': True, 'target_label': '429.2.m.a.307.7', 'target_level': 429, 'twist_class_label': '429.2.m.a.109.7', 'twist_class_level': 429, 'twisting_char_label': '143.21', 'twisting_conrey_index': 21, 'weight': 2}
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hecke_orbit_code 824667275693 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 13, 'hecke_orbit': 1, 'label': '429.2.m.a', 'level': 429, 'portrait': 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CBKfJa7kuHYw9cCYQ0L04b5qYSVbkB3KBjFHqsDwZYpw3LHcPycoub5bJmFHQshm+dGbJobs2VuzI7Nlp1bFFdc4FFXTY4cb3P34z4P7o959FhEonp820s7vPXFlrqaY/+xaY6c1pw6n3A2BffBJcsNVy3yC+9c5YL5KU6fn+b8ao3ljsdqV9LpJXQGCb0hPHV4iSePda94fN+plx07efbC46fOffHGV781vOOmv3q2IfEN3f5OM/jKaofeSOBr+6u33L//xb/4X/67/J5Xnnrx//P2k3pxdStLqzMsrTZY7vgsdzTLHVjpJKx0IpbXEs6uwaFlwcL8Gv/x+5Z5/qUNTpyb5fT5JqeXNOeWLWeXYk4uJpzvxUzPjnjJNX1eeDn4sk6gAs6t1DizpDm7IhiMIY4NNd/QrCXMTMUY4NjZmG4fdm32aNbHWCtA+PSHhp1bxiyvabBOiqz1YRyDxbLSCdm+yaM3VAhlEWZMu+axc+uItYHg2GlNYjRzbUmrJgg8iGPBYCw5uyI5s2w5txoTBCPwYm68ss+LrxIstOssr7Y5cS7g9BKcW4o5txJzagUOLVued+USv/R9q2yZbnP87Cxnl+ssrvosdSQrawmr3YjVbsJKz3K+Kzjagd7yCr/zb8fxD3y7uFNN/4QRtWvvlDL52SQO8GvtZxsqT3v7O8vgH/7zv+KFz7+en/mp/+eXP/QXN//r3/7Tmy/ef6Jz4aFTQ/miq0bs3mqJY421Mj0EWAlIQCCERQuLL+H0cp17D0qu2bPC5ReMaNTA0xLfU/i+plmXNDzJoO+x72iNLz/oc+z8mG4cse/EmM1zK7zpJatcc3GP513e4ehSzNJA0AhGHD5t6XSbXL1bsjZK2HtU0WponjgGl2yzjMKEUeKjdcRMC546EaB0gidjtAfDseT5lw8YDiTXXJzQHSYcO93ioi2KZiNkbWzZND1gtd/lozfDw0cSHj0yYte2Za69rMvMbMgbb+zxnS+37NnSIommOXJqikMnPU6cNZw8H3HyfMKh84LjaxHPuXSR//h9PTZPT3Pi7CznlhssrvksdySrnYROL2Ktn7DWt6z24exA0emFvPDKZd711kXZ9OyFS+ePXTQcJC/QtUvq9ebMV+669dP80fv/7NmGzIa3v5MM/slPfpLnPWeX+vIte3/x4NEzP3f3Q0fV8cWI5bFicZhw7YXn+K0fX+T6PQ3OrsywvNZkpVNjpeOx0tWs9mC1k7DajVnpxSx14MSqQNdHvOiqFb775SEXbWqy1m9zfqXO4orPUkew0nESYbVn6A4N3bFlMIqZa0fs3GwAQeBZTp73EDJg1ybFRdss2zYNOLc65pEDLZ57iaVRX+Xxg7O0miFh6DE3YxiO4IqdIz588zSXXRAzHlvmpyRRMqRVC3ji6Ii61+S6S2MePRxybtln+1zARVth55YQpSJOLoHvWYSw7NocM9OS9IYB/YFHd+Cx0lWsrMFyx7DSSVjqJJztwPIoYef2Pt/9iiVedLmm5rU5s9RmabXG0ppmpStY7RjWehGrvYS1nmW5D2f7irNrMS+47Czv/idLXLajzmq3zVqvxmpvhkRdmuhgyy+vmd2/1BCnk9e/4c3PNnTW3f5OAXz//v3UarX66VMnd+7du/cdR4+f+U9P7jtGZyhY68PaUHJ+KDnTi3je7nP85o+vcO3uOudXp1lea7LarbHS9Vjtala70OkZ1noxq72Yla7lXEdwum9B9HnrSzu88fmG3VtrhGGD1U6Ntb5Pp6dY7Qt6A8FobAljS5KAkpbAg3pgmW5bNs1GaG/EoTMhjx0MMHGT178gRHtrPLB3igu3wufvjXnp1QHnO0NqWhEnEbMzEEce2otZXm7wkuu7fP6uFhdthfsPjPFo8LrnG2Ix5LFDCUdO1tDSZ/OMZqYpqAcC3xcoAbGBMLKMQugNLGt9Q29gWBsYlvuWYZKwa8eAN76ww1tfHIJpsbw2xfmVOssZGXRgrZfQ6ces9Rxzr/ThTE+x2E143qXnePePn+fKXXWW1qZY6zXo9mqsdH0WVwUy2EGzvfnnd++57C+2b99xfDweDS+55NJnG0r57e8MwA8ePMjc/IJ/+NCBHzh06OB7Hn30UbG21pe9YUJ3YNwxFKwOBYspyJ9/8Xl+/UeWuf7iGktrGcgD1no+qz3NWk/Q6Vk6/YS1Xkynb1jtW873BGc6hpnpAd/yvB43Xh6za7OiXffo9moEngQUYSwxRmAsDEaAMMy0Rhw4ZTE25Kb7m4wHdS7e7vOiawZEZo1bH5zmuks8Dpzt01lt88JrBnzlgYDNs5a9xyz/7C1d9h4N2Dwr+fKDihddoVgZdDl8YpbrLg259bEh8bjBjVf67LlgxDDu86UHFCSCQyc17YZGCxgMXVCdGEsUA9KgfUOnb2m2Ii7YOubFVwz4lufGzDVrnFuZYnmtzmrXfTarXUGnD51eTKcf0+kndAaWlYHkbE+w1It5wWWL/PKPLHLtRTUWM3D3A7p9n05fs9ZXrPbA2pq5/Mpr7MUXX/KuSy655AOL58+Hu/f83XBa/k4APApjORoP33T7rV+4uD+I3/3gA/d5xgrCGIajhP4wpj809EaW7lDQHQrODyWnOzE3XnGeX/2RRZ67x2etO8XiaotOv8Zaz2etr+n0FJ0B9PqW7iCm20/oDw2dgWWxL1jsQ5SMufaSIVtmE/oDyxteOObCLYY4kWhpCSO45ZEax8/X2DoT8/ihGpgGl+9QXH+ZIagNeODAgMWlJldd2KQ9vcpdj3rccEmN5cEaq6tttmyx3LtX8Q9f1ee+vZodmzyW+h1WV2a5/ooBdz2eMFuf5qqL+5zvdLj3yWnqusnzLrNcunMEss8jRwSbZiPOLUbc+ojHKFJICYmxXLg15FteGNLrK7bNGK6/BMKwwUqnwUonYK3v0R0oOn1Jtw/dQUK3n9AbOAJZG1hWhpJTXUFnOOZFly7ySz+8yvMucRdHp1enOwjopXKoO1D0BpLBCAajhCg2PO95N0QG9VNvftO3HmzU65/RnmeebWw965nM8WhAHA2+79ihB3/r/JkDs2fPrdBsKKJEIEKLNRZjFC4jn1qAwiKlRUrNffs387Pv07zlRSt8z6tWuGh7yNnlNoFfpx74NAKPZl3Tq0taQ4+ppmYwSugPEzaPDcOxpTcKWFmscfKEJYwNp87GBIEFBL6yaCkYDBUCj3igec6Fgj3bLDu3DxgnPb5wn+KpgzO89rkB11+xyoe+YPFFgwu3D3j0LsX2acV8e0BN1Qkjj/M9aNY0OzYLHn4q5PpL67z8uiU++NkhvtfiNS+weMGAr94b8vl7mjx5pM7ubQ0u3JqwMBNy0XzE1RcmKGXQygKWRhCwMB0QRh69gc/jBzz6I81gqOiPJP0h9EeW/sC9994woT+0dIeWtSEsDhTnVi2NqQ4/8fpFvuNFY67d3eTMUptOv0YvBXdvqOgNJYORYBTCOLTECUQx3H7nfV67PfNbs7ObVl7youf/ZK8/+GCr2fg/F+BR1Af44TPH7vzVI0/dMpuM+0w1PcahZByBRIBV2PTnhQAhXCeNkhYlE3wpefTAAg/tb3Lg9Hne8uI+L75yxHSrzUqnQbNboz306Q80vfRkD0eawVgzGltGoSGMLFFkiRN3hLGPNSCVwNOCmi+YbglmWrBl3rBj84D5mQ5ffABue8hDmile+1yP51ze444nI8JRmxc9R9AZDjm/3OTGSw3z0wPqOmAUKxa7EcoInnOpptEa8+C+Gi+7fooXXtvjwX0K7BTPvdLnh75tha88HPLl+5rsPV5j54Jiy2ydmVaDqRbUA/C0RUkwFvYeESSJIIrd6jeOcO9xnDAcG0Zjw2BkGIwN/SF0x7DYl5zvwdiMePV1K7zpxR3+wWsMcdzm7FKTbr9Gb+jTH3r0h4reUDEYCXekn984TAhDwyhMOHP+NMdOf2F2pZv8f2/51pfpbnfwvnb72QP5swbwOFxCiOSH1s5+5VdXT311U02NmZ2qMRwlDBQoJZBCIoRACIUQAilJwQ1KWbSyeMpQ9wRLgzofuXkHX32oy0uvXuOdr17j6ov6zE03WF5r0BsGDIZeCmzljlAwjiRRLIhjt9Tb9GpS0qI11Hxo1A2zrYjtmwbE9DlwKuKjt9Y4fKLJdFDnhis1N17T5d79HW66u80LLqmxc+uAD98sUCKg3YpY648xFpSAhfaAbs/HxHXe9NLzfOTzDfacq/HGFwwIo2VufWyOKKnx/Cs38cYbulxyQYevPjjg0RMNHjnis2NWMtsWNAKB77mLUKYXv7FgjCWK04s1sowjB8RRCMMQeiPB6liw0gOhR1x32Rrv/JY1Xnplwly7zmq3QadXpzcI6I88+sNiJRiMJcMRDtzjhPHYAXsUumB3FEnOrHR474e/vGl5wK9+z3e8xJ44u/bHF2yZ/j8D4H/xiXdzyxN7+Lnf+dz3f9dLz777oqlH5z05ptVsgYiQQiMkKCndSZMSKRzYldRImaCUSJdng6csgbbUtWB1pFjuzPCxW5rc83ifF127xjtfs8Z1ezrMJXXiOGAwqtEfegzHmjBSRLEkTiSJERgrcgkU+IZGLSbwQ3xvzKnlMZ+9X3LwpM+RkzMoE7Bnq88VFymee3kXFSzy2KEW26cbXLUbtiysstJtc/V2SWwsX7wvYDyQTDdjXvf8EZ+5NeL42RaXXexxZm3EE4c9Ltg8w7UXLXLHoz3uekIwDn0uv2iWyy8IuHxHj0NnVjh4Cu57qsGBw00aWhBoSTOw1DyQ0gVV1rqLNU4gjCFMBP2xoDsSdCMITYyxI553SZd3fkuXl16dsHU2YDSaYrlTo9cP6I98BkNNf6QYjBTDsWA4kgzHrm90NE5SYBtGY8s4NAxCy3AMo1hx9nSX3/jQzZvG4YF3v+s7kthaPtQLrQjH2Pmp/3Wh3/9SgP/rX/5dvustX0QI/sFThw799uq5vdPBrE+9NkNiQqx1CRopLUq6AEopUFIglUAphVICrQxaJXha4GuD71kCz9LwE6Zrgt7YY7U7w8dva3PzIyM2zwx4xys6XH7BiNGwz1UXWS7YohhHHkmiSIxLFAksUho8nXDsnOXIWcHa0PDpOxqcWprBhh4zNcW2Oc2uLZrd2+GqPV2MXOK9n2mysjLFCy7XXLWnw1cfEYjYY9OMpNmIGUQ+0kqwEqV9OiPBuRXBlbbBK57b484H62yb93nBVbP84Lct8YHP97hvX5P+yGN5rcVF2+pctnXA8y/t8baX9Ti9ssKn7whYHgQcO+Nx6pSPpwRSSgQCYy2JgchYktgwMxdxzZUDxuOIyy8Y8/ZXjNk0pZhtBURRjTOLNQZDn8HYrXLDHNjSgXssGI1JAZ3k0sQxtzuGIfTHgl4oGBjF0sllPvOFJ+a31KZ+8/rnP/Dzu3fzQ9jRbf8rMfe/DODW/gowFO/57y/9ruVzh/7olc97sPH8yyDuKwJ/TJIUIBOSPJB0QJcoKdFKoFV6rwWeTvC1wPcMNc9SjyyN0DJVS5ipCwahpBc2OXKyya//2SyYGBHHPPeaARdtCYljMNZgrUviSOEuJO357Dvus/dgjWZN0/Il8w3Bwpxk06xm24Ji19aEy3atkYhlfucTbY4dn+YFl3pcfmHCMO5x92MB03WPuSnLdCukUXdSyBhJZ6RY6VuWOwmdfp2XXLXG/XsHPHVcMd2u8fwrp/mRNy3zu5+EBw826Q8taz3NuZU2W+YbbJoZsWtuxL/5rgHtRodHj8C+ExLPsyhlEcIA1v1nIY7hwi0JL7o6Jok8ojjA2gaj0OPsks9w7Fa0Uahy+TYMBaOxYBQ61h6HLis7HhvGoWEUmfQ5m8uTQSToh4JOJOjFgIq57QHNoHN64adb719YOn/rRa96xb+4/bU/+kF703v/8f8+AP+V3/09XviO3eo3fvL+t15/8cEP/fwnj9VuuXuG3/hXXa7YOcZYjTWuTUoIi5AWJTVKWRdMKpXqbYmnneb0PcXYk4xDQxAmjCNLPTKMI0MYWtoxjCPDOIYwFowiyTgJiJIaTx1s8shTkFiLg7bTxp4EX7maj1YAV22Fdh2mmpKZlmJuWrNpFnZuGbN1YY3IrvA7n5ji0OEprt+t2L1DsmfHKl97Iubc8hTPvUgy0zbU/CGBDLBKECcSYS1xErLar3Fu2eP6y+s859IedzxYY/OMoFFrcf2lhp946zK//UnDE6darPUNaz3F4qpmfrrJTLvOTHuKdiNioRmx6/qQwIvxdIxSCVK4YMLiLqooUpxf1ESxIooVYaQYR+l9KBlHknEoGYWScShcgBoKxqGTH+MoCyZTTR+5553uFgwjGISCTihYiQTjMITxiCt2j/l//8WAJL6H939Cv/c3//C3hv/6R+ufOPiTv5VcctVP/v0H+D/7lb/g/LilrrvqzNvf86e9Dx4/ea529955ktDwc78v+aUf73DVjgGiBG4pLUplTonFUxZPKzxt8UKJ7wl3EjzB2FeEkQN6FFnCOHGuSFw6EogTS5IYEoPT24Yc3EKAkqAleB4EWlALBI1A0mwophqSmSnBptmYXVsGtJprfOLOkFsfm2Vtqc01OxW7tnpccsGIRKzxxfsaND3Nwoyi1Rjx2CF48rDm6gssg7Hi2ksirtljOXsmYXHVZzhq8Pobetz+6JADpxTNuiTw21y92/BL37/MLU8M+cwt8yx3Lbs2Jax2NNNtxVTTo9XwaNYttcAQ+IZAJ2jlpJZMWyutxSWsjCA2kjgRxLEgiiVhLIgiyThyzksYCcLIEoYwjhLCyBCWiGMcZUfq0mTgjgSdULIWwWgcIqM+z7mow3/8sRVed0PIeKTQ4t7aju3DP1k5euk/3jqz9S9Xj/9BMrPzx/9+A3xKJXLYW/qevQfO/f7dD67WIrsLvBhkzF/f6ROGmre/qss7XtVnqp2gBglKGrTyXRCpE3yt8SJNoBUjzzHN2JOEviCMhDs5kSKKIYykcxDiwvaLE0OSOHchsalTkrolmTujpJM9vhYEvqQWSJp1QbthmW4ZNs+OWZjpEds1Pna75AOfn2NTrcY1OwU7t3pcuM2wa+sqn7jbsrJS4/Itipk2tBoR545Kzq8G+BfBOBIsTEmmp+HAEctq13B2qcYlF9Z41XN7fPa2GnMtCHwfJae5eo/gR994Hk+e56/vmOHJUzU2dyM2TcdMNRWtuqJRl9QDTeBD4IHWzmGSAqQogRx3YScGkkQQJ6RAhyixhDFEUeJIITKE2X1kUtsxc2UcuIexYBQJ+pGgEwt6oSUaj5kKurzj9cu841U9Xvc8Q7/fJIk1L71aMBwfroWD1h+Nw6ZG+H+O45m/nwD/3fd9kiQx33/zXYd/89ihE+35aZ9RIhglHpExJMrni/d53P1EjTMrK/yztw2ZacfUgphuv4ZWPp723BEmhJ7GD500CSOXSneMIxwTpawUxxAlkCTOSTDGBVzG2KyHMwW3A7gLXAWedgCpBdCoGVr1mOlWzML0kPmZNe58KuRPbqqz78g0F0557NkCO7b47NgMl+3sMoi73Lu3TV15LMwoplsw3RozMxXj+xoh3MU1HPusdCPWBpZOP+b8qs/OLS1eePl5brpvwL5TbRpBhKd8hJhiz3bFP3rNEs+77Dx/clOLex+fZrmv2dSOmW7ENGqSek0ReILAk3iei1WUIrUPHcotrofVGHKgx4lJV7fUWowNceLAHUcQxrY4IufKjFJgDyJBL3Z6ezSMMfGQuUaXf/qdK/yb7x3QrGs6vQZR7BPFmjj2Unl0si38xu80Zp7jH937Vx+48Iq3/f0D+NpaByXlD//eH//Vr549fWJuUwvGsdPEw0QwTCQDGTBWmrWxz29+1GfvoVXe9LI+r7iux+b5kF63znAc4Hsxge8xDjWB7+y9DOBRJAljt+xGceppJ6TWHylzS4ylALdLUqbMDVq5hInvWWq+oV6LadViZtpjts53OdcZ8J5Pe3zx/llWVptcvCDYuUmwfZPPjk2Ci7aN0P4aH7lVc/hEk0s3S2ZakqlmgpRjTi1aAu1sT2sFYaTZtanLfSR0B4rVruXcSp1Ld9R42ys6/OVXfY6eC/B0hBAexjaJYslzL1pl1/d2+eKDAz78xVkeONpk+4xgvpnQrCXUfEHgCXzPxSpa4QJnKfKaDIu7yIzFOS2JA3wG8jhxks6BHcLE1bqEWfIoFgxj6MWSfgSDyJAMxuyY7/Ly69d488sGvOGGBE80WF0NiGKPMPKIYk0Ua8JIMw4Vo5Xzc/Ny9O5Lr32bGg6676s3/ufUlP9PAfjqWgfteT/45a/c9qt79z65qVUDT4EfG/xI4MdQSyw1JejHioGs04k8PvK1Grc82uP6y7t872sGvPEFHeamA4ajgOHYJ/A8wtgjjHQeKMWxIkokcSyJEkEcS5JEkBhRaG0jyFWJdcwthUsWqTRZ5HuGwE+oBzGt+pj56T7DaMhXH7N89GtT3Pv4NDO+x9XbLVtnJZvnfLYtSHZsDtm9fZVHjw759O0LTCnNwpSg3RS0GxGdQcLn767R8i1COGANx5o3vWjM5+5xNTGdvuH8qmbHphZveXGfe5/qsfeATzOIUVI4kJsGo9Bp/X/0qg6Xbj3PR27pcteT0xxfrbOlLZiqWRq+oaYNvgdaCZQkTZC5952VH5lUqhlTrHBxCnRHEBAlgihJgZ0IRrFgEAt6CYxDQxyGNOsD3vLaFb73NV2uvzRh86xmOGzR7fvpufKIIk0YK8JIp0GtZjBWrB7av8nqu3/18qtebPq97vubrW8+yL+pAO92O/R6fZQU33f77Xf8xk1fuXmu112lUZMu+ygtWlrHmAn4MQQSB3TlMfQUJ7s+p+9pcM9jff7ymh5vf9WQ171oxOy0TzgOGJcZIQV6nCjiJE3YJAXAjU2Z2xSJBSFsGlS6Og6tDb6XEPgR9SCkVR+SMOQrD0r+7OZpHj8yhYgCLpyxbJ22zE8rFmZ9tsxLti1E7NzS5cRijz/4TJN4XGfHDsF0S9NuQrsRIbyQ7rDJdMsihMBaiGLJbKCITUwv8ukNEla7ilOLda7c3eLHvn2Nd/95wLHFJlpF6YWhieMao1CyZS7guRd3uWZ3nyeOneKjX6tz0wPTnO7UaQaKlg9Nz+Jri6dAS5fOF6JaXWcAa9xFlxhBYiFOhPPPE0GYuCSRW3FhGFviOMZEY+ZqQ17/6jXe8eoeL706YqquCeMmq50gBXWZiDKAZ66NYhgq+oMOD9x366ZxKH/jiqueF58/e/q/B/UmU1PfvPmJ31SAj0ZD2u3mmx9+6KHfvfWWW9rDQZd6TSNC6/xtIVJv26Lj1LWQFj8R1JVgkAgGKmAQe5wf1/jre5rc+viA53+5zz//zh5X7OyyaVrRbmjCyDFEHBcgTzKAG4mxEmudJLB5QJmm+pV1ySIdE/gxngrpDiMWuxH/9RM1jpyf4cG901jjM1cXbJq3zE8J5tqKuWmPzXOSLXMx2xcGzE2v8sWHDA88Oc01OwQzLUmrIWk3DM16iPDGBIFGK/f3rYUkkemslojYCHpDQ69vWel6nF1uc+NlfV545Rof+XKN+opCy8gB0mrixCeMXI/n/HSN5+3p87yL+9z38tMcW5T8yU3TnF9rcHI5wFeSpifwMxkmXeCZE3kmVXBMHltBbCAygnECoxhCYyGJIY6Qasy2mSHX7HLn44YrEtp1TRw36fQCxpFPnMqQKHagjmJFFKkU4LJiS0aJpN/rcfttt8yFifrda665bnU4HH76m4nJbxrADx06yMLCZvWFz/7lxfsPHGwPBl1qvkbgEimZDaikKNg8sURKoGOLn0CQWBpKMFSCgQ4YJh7LYZ2bHpjizieHNIMx//gNHXbMxVy4bciNV/XQwrWICeHkistKulppa0vMTeqvC+eZW5yT88QRyf1PaT57b4snjrcI4wYtrVioW2ablpmGdT54WzM7pZmbFmyZjdm2MGTrwiq3Pj7mvZ/dxNZpzUIb2k1FuyloNWLqwZg79ytGocZrOlBZKwhjSU0rrrt0yD2PTbvCp2HCWtdjaS3g3NIMP/bGc5xcWuaehxfwJCAiDKQAcgVp/aFmplVjut3khZcOePk1A773lYs8dcLwuXtr3PtUnf2Hm8RCMx4rBpFC5fU95cAzzQlYQ2ws1hg8kTDlh9SIeOH1fS7aOmLHfMQ7Xzem7kuadY8wbNDpObZ2gPacZKwcMrUjnRfvXK/UlowEiZGsrXW45Zbb2seOnb74e7/3HerwoUPJ7j17/u4AfO/eJ2m3p/z7H7j/B7r96DcXl1bQWmGMwWhX45HdpCBlcYFOHMi1dJrPS0FeU4JGIhgbGCUew8RjkNTo9RJ+4yMz2Dhi88KIK3eOmJuKefurhuzcFBJFItXbEkrMTao/pTQIKfj4LXUePdREaM2x0w1OnWtQqyumAsF009KuGdo1aNUFUw1Fu6WYaWnmpmF+Ombz3Ijtm7okdo2P395m2G9yyQ5Lu6FoNSStuqFVi/G8kC/eU2M8kHibXLdoJlGadcXrnz/ktocM/bGkP0zoDjRrPc3Z5QZXXNTi7S/t8uATDY6ttFDSAFGqlz2iRDGOXGKmP9J0+j6teoNmfcwVO0a84LIRJ853OHpmDe0lPHJY85dfayCUK1xjcv6gNYABa4nChF2bY97xqiHz7YTLdlk2z0ESe4zDFnHssdr1iCNFlOg0DnKAzgDuYiKZB/4Z0KPY2bpR5OzJOAEpFWtrK0iZ/OYjDz84uGDXrg/s2783vOzSK/5uAPz0qZMsLy9deurkyffce999Umvt5IiS6DRdLIRx2jfO3AtLnDiQe8r5sF7iNGBgLLXEuiDHWMJEMDaScSIJjUdkYLHf5muPGiwJn7rXjWzAmvTIsnipRZZXJEqkUsSRRhqNpyWtAC5asDQ9QyMwNAJoBIJmXdKqOzk01ZLMtGFuKmZhZsy2hR4Jq/zXv6pxx2Ob2DMHM42UvRuSVj2mUQ9pNobU6w0CJVEy1eA4ORBFHqOhYDhO6I0V/ZGhNzSuZa7pc/LcFC+5csxPfNc5fusvNcfXAoQwWBthEpu6E5LR2JWxtoaaZs2nUa/RCBrUgohWPeS5l4T4XsQNl8S889UDtIrTJJBBCFsV5amkM0YihCTwFOAzGmuWV7Wr20mymCeVhSmQ48SBOs4D/sLZimORPw4z3z21dZPEnSOt4JGH75daq/f0+oPbx+PR498MbP4PA/yTn/gEiRH1gwcOvPXo0UNCK5nKESdFrBJYK1MWTZsVFKjEgV0rdxXrxPU+xllEnwhiY4vI3jh96A5BaCSxlSRGE5mAJLW9yrc8SylAC+E0v4Ja3VLTlppKCDwINNR8Sz0Q1H1Joy5p1LQDeFMw3TLMtmPmpsdsmu2zbdMy7/2s4cM3beaCacV8y9BuKloNRbMBjXpCqx5xZtlw6ExAzXcXNGSVfoJRqLloi2HL/IjuyGc4simLS9Z6mla9RqsxzTtffZ7DZ87yR5/ejpYaiyExCbGxRLHOA7bhWDKoSRojTT3wqAcJnZ6LMXwvwdMJnpegpWuUkNKl80V6uNIVAYgU5IKOSassjYtrkkRijCQ2RbwTJ4IkcYB2yaM0U5oUwM6OKAd6en4T58U7AnTGwKOPPCrC0fCte/ZceOiLn//U8PVv/I5nF+BWaP/sucWfOX7yzM8MhiOpVDqJIseaRGBc2au0KGFRxrkpsczATO5ZO7vKebJJlnUzrvwzT7OnlXLOyxV5oFTW3JDKIeECKy0NWpLWtICnBJ62zjfWglogqfmSeqCo1xStuqTVsEw1E6ZbMbPtMfMzA3ZuXube/WM+css2ZmoBm1uGdkM4cNclzZqhWYtpNcbcuw8eearBxQs21b1F2nw4VtxwmeWSnUPue3yawdim7Xk6BblHo1anXpvmu1+2wiP7z3PP3i1gFcYkrhw2tsSRzQO34VjTGFnqNUXNNwS+R+AnBNqgdYKnXYlxVgYhpSMchDMBMloognORDlNKHSmT2a8lKzYDthE52JMcvFWAx+kKHceOqJKkOOfGWoSQRNFYdjrnfnFttek3Gs1fBsJnDeDD4UAOh8P/8Gd//uc/ubh4zm/WfZQbS4K0YIRINbdEJpZEukMllli5+8Q4He4+OItJP5gkzz7i2DkFuUkzcVmywlpLKfNeWXGzVHWW0FEyzVgqSkVbLvsX+IpaoKgHgkZd0Kpb2o2EqWbMdGvM3NSQbQur3LNvyH/44GaOn5xm97xhugHtuqJZVzRr0Kwl1GsRvjeiM3LVkJ6ySFm8MnfiJVHs065HDGLDIK2zHowSegNJp65o9AJqQYsLt0T80g90+Pcfkty9dzMWhbGGJDHESUwYG8JIMQoVw0BSHytqviTwLYGvCLTB85zfr1Va56NsTjjZ6lqhhzS1b1MSsWktS5ICPjHFvQOpTO9FCvjS49ituhmgc3CXMsxZ8k1JwcmTZ/0gaP3UW972Ld5wOPz5er3+t07n/60B3uv1iOP4l++/765/ubp0qjbT9krJhJLHagTSCKe5jbMIkwzcKs2kKZuztDE2TyOb3KPF9WZa59XaiYMJgKeyOw0snURRUqCUk0Q6bUXztCTw3QCgWuBGMtQDS7NmaDUS2o2IqVbIbHvItoU17nlqwL//wDz7js+ya9Y5LK26pNmQjr3rlkYtoVGLiJKQP/1yC6kUnrQoUdiExmZLucc/eu0qX3ogpBcGDFKA94eKXl/RCTQ1PyDw2lx2Qcx/+qFlfuEDgrse34yxksS4tHoUu0KzcWgY11y5axAIap4g8F1m09c2z9hqZZDKeeOuLLkE8CLl6c5jij1rROq2pIF8BuB06oDJk2uk7E6+4j4TsLPznZ2/WFgEgn0HjtVuu+22f/XKV75C9Hrdn239LZNAf2uAnz19GGvNCw8feKjuqwihZf4iM9CVAZoYgUpEFdSJxagC2GWGNqZov3K/R7g6igzU2Qc/8boygGc1GFkmL2NvrbO6E4nnSVe/4QtqgZt50ggSmnUH7nYzZLo9ZGG6w71PDfgP75/liWPz7JgRzDVL0qSmadZc/Uq9FlMPQjxvzKnlGTwlUNKktlwRZCaJJI4VW2cscRzRjWppp4xhOErojST1gaLme/heDU9PcfmOmP/0g4v8uz+Ge57cRGKkA3hiieIkZXLDODDUQsnIV7kE8zzwtJNork7FuVcy88bT+w0w7uRKRliIPDlk0uRQli1OklLSqFTvYpJMhrrz58oDSod1JQSUyGowjLjr7gfq27bvfOH/yI4TfyuA33f3TURR1HjswZt8TIdmPU39UpgYGVMlBlQGdOWubiOFA7QuvVlbuqJzGVL6ADI5kj1+mtcmRVFEJSVIKXJwKynTRolMnkDNg8A31GuWeuD0c6Me0W6ETDeHzM90eODAiF943wyPHVtg27RioWmYqgtaNUmjpmjUBfWauzhcqj/knr2C/sinpkgvMqfBsyaExAiiWNOsKW68qse9T7QZRE6mDMcJg6GiFygCX+F7fqqfp7niAsOv/ch5fvoP4a69m4iMJDImbZYuejDHviTwjWNvr6ij1yo7SGVKIeNkmuXdCORZUshmAE/PdZI7L1RX3kxaJhMEZrLeV1siL1s5t5n0PHNuhY9+7K/973zrGxqf+vTnB9/x5jf+zwf4+bPHmF/YPn33HZ/+gzgevsxTMZ6UedBXBnfxBlJgpyDPr3gDRomNWbsEaJO/+aIpmPSCyk+GcAVFQqbgTouMVA5w18jsacdkvofrBPLTAqsgoZ7Ki1Z9zFRryEyry8MHx/zC+2Z45OgmtkxrFhqGqTo0a4JmXdGoKxo5eyfUgphWY8Stj/isdWrMzBRp8gwwJtWmUaLYNKd49XP63Hq/cV00oSmBXFLzJDVP42kfretIabjiAsuv/sh5fvoPLXft20RkNFFaAejKXh2TB5HMqwt9LdE6LcKSAqVFKemWyTlRpPNFtt5UE0KThyndG1O6L4E3MesZO/9+SmhlYGe/I0kSaoPhy57ad+SP3/kP3vbjBw8dXbt4z4X/cwE+Hpzi7MnzPz3uHvoekSzSqHkuoZMVNqWs7a7QtP7YCowqlWmWrvjyvzFpciZj70ogOcncKdKzjFyuvWVWQVfo7qxiUCtcfYa2eJ5rLK75hpqfUK/FNGoRzdqYVmPE7FSHB/eP+Zk/nOfhw5vZNO2xqZEw1bApuFP2rknqgWP/WhDTCEJiM6YXBggl8TIGzzV4eqGb1C+OPJr+yJULhDVmMpCPEga+Y/DAl3ha4+lsA1rL1Rda3v3j5/i3v2+466nNREYzTgRhYlIWF9QiQ+BZfM/1ruo07tDKlQgrKYueVwEiuy8VZuUXZjnWmQB3TkIlYsrA/UygLn4m/V3GVi8UC0eOL+HXD3/PhXc9fCgMo3/3P5XBe2snaLR37Nr3wO9do8wxpltO+yWmXL1XVPAlOcjtxAVQeiNpkGJt4YnmkXv+ARZZycLqtgVrl4PKbLlNO3RUGkxpnXYGpUVIWfVgzUtS3RxRr42ZaQ+Yava4Z2/Mz753nocOb2ZhSrNQT5iqWVopuOs1Zydm4K4HCTU/pt0M2XvUcsuDTXwp8ZRJg7jCo8jikihRxEbziudGXLy7z6HjdRYaFH2O44TBKGVhrdDay7uchLBctQt+7UeX+Hd/aLj9iQVGUd0lw2JLI63hDjwcyHW2epm8t1WqJF/hlBQlgIsSyFmnVwqQ2yrA8wrFYuXNJUjO5uQ/MwlwU/qZTO6MY8lj+86gb7r/mnf/+x/ddeDQyWOX7NnxzQf4qH8Cz5++cPXsrf/FJotvVrJLvRagY5tW8RW+aJWlMx/VTtxXl7TCjipF7mWXZJ1bkjL3JLizRFKaLVUynZ+SMrevDZ5nCDxD4MfU/JhaENKojZmdGrDaG3Db4/Brf7aFRw/OM5+Ce7puadUFzZrIvXLnvBjH3r4DeD0YEyYJo2GNmnIXmRSlpZ9Ms4o00NROy+sx49AyjEQJ4AbfT/A9jedJtFIo6eUAR8C1Fwl+7cdX+Y0/j7nrqTlOd9qMmpLpxNKKLbV04kDg2dT7z5wUm7N3JlUygOevN33RZZznCjE9KTY/V6Xy25KkLM6trcoXSwF6W17Ni7yHm5gl6HeHnDiz+uaPf+7u5NUvfc6/2nf4zNHLdm/95gLcjp8iThovSAYPvNWMHqUetNAyQqkiRZskkkTZHNSJLQN8EuzZcp1d3aL0wawHePYRl1VhdhLcuIeiziUrBSiGA7myWE+bdMxEkoM78FNwz/ZZXB3yq3/a4NN3L7DUn2FhSrJQS8Fdc7q7kQaW9UDSCGzK4E5714IQCLn5YZ/VyGcuoFKPjZgIwBPX/NAONK+6fsA9+0J6UcBU3rFu8MeuVt3XDuBaWZT0ENIlaLBw+QWS3/rnXT53z5Bffv9mTi7NMJzWTPuCVmxoxBBEbvSyr9xAIy8LNKXIg+Dsvhyoly9MIXK7Oj8/MCEhSzq6HD/lX5fisjJr5wGqzTqNsnp0iK3iq/ceorWw5a26Xv/TTm949JvK4EncQ6rmJaPlL/yLZHAP9ZpFhpFjy8QSywLgcZ7aLSSJMbIiRwqmFnm9tsUWNtQka5dlSfpBZ8ySpZszF0BlAFdp7XmavfN02t/pJfheTM2PCPyIVn2I1gNufSThjz/f5rN3bCI0bTa1BfM1J0ucBZj55Co9RMrcZfaO0HrMnU9OMwg1WxvZ65lk8CzIlkSxouYpXnjFkNg4gA8j4brWs871sXHBoRYpi7sLWaTJdYtgflrwPa/s0wpO8/7PD7ntyTnORnUGNUk7tjS1dSDXaRyibBqXZBWe2WcoitpxmY7PE0WMUyG99H+ZxZeBftL1MhWAF8xdBnkG7ixB5ADu6tHHsWCMxydvfZwbn3vxv/jh73zpQ9/RHRyY/gZGwn1dgN9y3yGS1U8wsrPbov7jL0+iFTxdx+J2BJOxy9apxJAkEp1IEmtcTXaSpXptel8OJEVVa5MBvQzskvVQtq+EnZAmWVbOVQy60W4mrflOwa1cLUbgRfh+RM0LaTRG+P6AP7tJ8+v/fROHFmfxghpbWoLZIKEdWJoBNNMO+3rgsp21NCHk6leSdCVw8mSpm9APfXyl8KXNA0xKbyW7sLPajTD2qHsjtkwPWRu0GEYiHbfmYgXPS1KbT6V2p3IArwSurvLxzS/tc8OVi/zan4z48BcXWImbDAKPpidpa1eDE2jwFXkzhM6SPunKJ3OpUiSAyqRSFStloLPhCpwD3pRAPeG85EmhUr1RlKQtcokgRLKy2OOrd+1/eRwl246f7h+w9gmEuOp/DOBxYrj18LdeKMf3vnezvJ2d8xHDsc7fppQWGRukVC4Vr1za3SQGo+SENElTvraod8jfPEVQiRUb+twCW7CJzIq3ykOCLEoaZIW5kxTkMb52kiTwxwTekKPnYv7oc00+efsch8/N0G54zNZgJkhoBTZNvWfglim4ZZ4UqqXaO/DdhdNujvnEnZoDx+rU0glcebsYBcrzMQ42LVSKNZfvgm+7occff2GOfkPTTmePBGEaNyiD1jIdW0cJ5F6JUt2qsHNe8rP/cMA1F53kDz87y+GzU6zEdQaepqkEjRTovrTuwkldpnz1yz7XzD7E6fMi02nX++QZMWX5ELs+liqzeAHyzGnL6pDSorrEtcmNjWtsHrp2I/btu4Of+sEt7/3x77n6DdjO15UqzwjwXs/QbAr+7DMP7fj8LYf31JIh/+2fDzG2NKRHeKk0MCRS5cU4RklnH9oysJkAeYm9raCUzEpZPKNtW9GBGbDz6sRsloo0qWuSsXeCp2PXuaNjgmCMr8f0kpD3fMzn/Z/bwqnlaYyqMzulmPUtU76hkTJ3I0/fy7ROJZUmqXeeg9t32ctxFHLgZEA/DJgJUhcnSzplrkSWhbWlmpRI025qLtoRooIRvbDF0BfUI8s4A7hO0kSNcj62zEqANwpeFQtTA37szQPe+oqzvP9zXf7o43MsDZsMdY2aVjS0oK4sQWwdm2c1+rIob8iynOuYnA3kyqTDQpXJC3CLkj5Pk0FpCUCW3o8SQWhgZAT9RDBOLDYeAz2+5xUn2dV8cE/Und7htV9y1NoEIZ5+q6lnBPhoeIxmrbmwZ5v92Ke+8qR3wfwU9+wdcOOVI0w+iQpiaRBSOZCn7WJJkoFY5mzlZEkJ2DnARQ7ojTOUtmQH2hzYFXki0yo5lc5V0QlaJfheRM0P8b2Qzijkzkclf3ZTm4/fPscoaeH7PnO+YNo3NH1LI7A0/ALctUASBJIglSYuMZQ6EynAfc9lPo+csdz2QIMw8giadl2Amd3yNHcar4SRwvM0r76hx0e+0mffySbDmmsMGHsWPwYvMnihQSnpfGvpBpLmw30oVsTESGIjaQSazdND/u13D7hi55gP39Ti/r1TLA6bjJSP52lqWlCXEGQDljJ7Vdp06CklkFdrViaLs8qMnq/IJQa3k/KkxN7GCuJUg4fGNbsME8HYWEgiGI14ydVdXn2DIezc7/V4/cfEYPU5JN3FvzWDzy+05Jmzj77g5tu/OLW2vEQ9Nhw5K3jpdTF6HJZY3JQY3AHcqGqZZaG3S0cG7ArIU4YoETiuR8cxeZ5SNnm5p9PdFq0SB3CV5HJE64hOP+KOxwUf/EKbmx6cYqXTQtZrtOqKac/S9g0Nz9LwLXWflLUdc9cDSc1X1HxBzSet0DMpuA2B5/S30mP2n4RTnZpLrKT6tpo4KepnXB+kA3lsJGGo2dwWXHLBkMeOxwwij3E649sPceBT2WTdLFEDcqJOoywJXZ22qw9/x6uHvO75q3z1oR4f+mKb+/e2We416Eifvq/xlcCXgkDiejil26VOieIiVSIt+92AwdfXr5QvvGpuI7FZLFJibguRdcwdGncfGwMmBjOGKOaiLTHbtka0a2f5yiMfmarPvu0FcwvXf4FnGB70dTT48aBZt79/7Pj+5hXbR9z43JCXPzfExKBVTLZdnxSGxLgiepUBPN2Y1Rq5HtgZe1MEkjb/X+mTq0gTWynQd7LEpJrboGTiBuJnboaMWOzF3PqA5vN3tPj0bVOc7zYRtRpey6OtYcpznTx1j1R2QN0X6SHTktNUd/uCIGPvDOA6xvdjan6ItRE3Pxhw7Eyd+VmBJ02qY0XR6Ftiu7z8NJUUw7HHrs2CV18/4JN3h/Qjj2EkqHkWP3YsPo5saZVSuV+NkBWZYvOVM21UMM5vrwdj3vHKId9ywzKfur3H5+5ocOujLc53GgyFz9DXaE+hhcCTAk9KPGFTqWVRiJI0rNqHG5D5+mAzK7/NwG1S1k6PKG16jnO7JQYTgonAi7n1Ic3nb/O48TljllYONJu++v1ueOoKYPg3Bvhqz7DaHf6DaPUD0//pnx7liW/z2Tpv2LUtIRlIVNrp7ZhUoUzK3kaVWFtW9TZVgGfdI3adMBHVgLIEbCFMrvlFCnCtE3wdUatFjMYJ+07B0dOKj355ii/c3+b8ahO8Grrt0VCSlmdpaUPds9Q9qHkO3DXPzSR0ZaaydIj0+zYFuclB7nuuPe3QacNjRwLwvHSZt6UUvaigoKxLkyStmU7cOOerLxpz5Y4+T51qMKwJGrEgiCxjRWrtmZS9MzclsyALrVIUuon8nLjpAx6j0KNeH/P9rx/zphvX+NIDff7iKw2Onq7x1KkG4VpAHGhGWiOVm+qrAJ3eZ0yeSxeK4H/yVo6vMlCb9HFc0uBZN5YhzfbYJAV3XNzLmONnFL/8R202zzXZe0DxT370cebnW89I0U8L8NPnuyKMxj/xvg8fnL50e4MXXRWxe4urOVHNBBlZxNgihMJIhTUKaRTWxlgr85nb2SatJgV40QxcdL1PdJqlWLAlzeeSGk6SmHSXh4QgcJNU4yTh7DJ8+WuaQyfr3HJvnVOrdQ6dbkIQoBqamlY0taWpjXMRPDc4v+a5cW0OxNkh00OlACfV3Cm4vYTAc+ztLqyQI4uw92gDT1btwVyiUNSD50FX5qSYrKfR48pdQy7ZNODxwzGD2KMVCcYa/NjNBFQlgEsp8g0CMiaHCQsuk0FZ32SiiBKPsefTrof8o9eOeek1XU6tdrn5Pp/DJwK+9GCD08s1kqGHkZrIVwgp3UqRduVL0own5LKFiQW4XNJsS7LE3dvUcUlTmpUjLoE8gdBAZBCe4eAZxUzb8s43dHjl5V+bf80b/u2/+H9+8NC7hdizYfj2tAD/65v+gjBM+JOPniYaT7P7wpirL455+Q0hV+yO2D6bcPGumMAmmEimoM72jJfotLs9a2KlIkkysBefik0/kdznrjB3SYqoBC9IiBLL4ROCxw4rvnxvg8eP+Dx5pE53HDAOA/B8VNsjUIKGgoY21Es+cKCzOo2sbNbVhQepLPF9he/L9AKwhfb2EpdZ9JzOr/kR1oScW5GMbYDWEl9adMlmmyDwHOSJrfY7hrGHQLMwGyLViH7kMdDCOR1RUTCmlalkIKUoRbHZsCMKeZiVUGTJOC9R+fiJwdhny0zIzs0Rz909ZhgO+cdHOjx+1OfL99R47EiNw8drRLGCQGGlAiFJZCkbVE7mTwC8kt3K7zM/eALYpAXlNnHAjixaJOy5MGLbbMwVu2NecUPI1RfH7N4VIuNRc+8TX/keY713/40YvHf2o4TjZXX69G1i5p+c5okjmt/7eIPHDnp86e4aU75l5wUxV18e8dobRrzquhBwja31hk1nfQswkiQqWNyWWZtqcORqp9ybF9LVjSAMQlqi0DIYOUY/elLy5zcFDCLFw0/WOHgiYKnvM0580D4oD9VW+FJQV9BQlprCjTNTaeGRcqzte8IlPcrg9iR+KksCHwKf1DVxKXNPG3wvTjOiEfVayPnVhC/f1aLTC5iZEujUi8+KvsTTLd+lWp3ESMZjxfyc4nU3jvjS/UOOd5oMPelkigYvtnhR5lmnHrt0NpmgPOtE5n/DWF36Gw7ofqJItCL23NiHKPKclepFNP2Il14d88Irxrzl5SP2n5A8stdjGCo+/OUGR856ICSDoSYJVVa+idXZ0jthGVUAnvnAJv9axAaRWGwK9nojwfMMAsOrrg957Q0jrro8YteOhKnAMD9twUp+9+NN9h4JOLF8QDzvmher33r/Z+Of/MFv+8YAbq3A8+fec+Gm4bU/9NYBDzylee9nGoSxYrEnWLRwZNnnrsfgYze1WJiNsdZy/aUR73jNyDUMJ7AwZbju6ohmzbrxaVbkObD15zzb3cHSGQgeeVSz3JXUa5J793p85vYao0gxihRnzvoYoYmshxEeaI0INFpKfCWoSUstBXagLIGyrgZcp56vLpjbz/oyc3CrtEdT5Oztewbfzwq0kpy9fT9CqZCvPaT45N0tlK+d3VbR30/P4JkXnuSd6YrRyONNLxry6Tu7fPjmKfpxjWaqw71Mh0dZUsbm3UJCyBxg7k/JktYvAdykox20Y3JPK2Kt0XHigK4SlHKD9GdqMS+6LObGyyKsGPP2Vw4YRS59/te3B9y316ceCJa6ikce9+kOZKqSxIZnuEgCuDR+s2a47jkR89OJa3xJLO94zZDrLo2wBhZmEmZnLF6q+a0FIhgn8KefbfDA4y227VDXvvolM+8R8GPfEINbuwpMt1dPfPiyZKzVlFasdhUWBTI93DXI2MK5jse5NffC9x+3fOZrbaetEsvUjOEF14a06jZtLN3Y5c4v9dR1WOsr7n/Mp9tRSC3dTBSrHTMJ7TbukRqkRkqJJ4UDs7QE0uBLBwRfga+KGX0O5KJoeNCuESBrPC6D2zF8WlbrZQyelI6YQEdYG3JqyScc1wimJH6a9lZpVV4li5l19FCk1wuQO4kXRh4zLcUF8yG+GDGMA4axoK7dEMyshiRLaClZLm+V+d9yfyOTiKZIshiTVn4W0iiOkzRvoNL9j2KiOEFFLpegVYKUMTvmTbpiGK7YOSK0Q6Q2dDqC+x/TrA1k3nReBvg6C8G6evBmzfLCayOmZgw2dv+mniabXAeRxCauaC/J1iaZIKxhpm2IrCZOtOp248v+1Y+/uf3aV4y611xce2aAnzl3BsTSu0crD71SJmd49LDi5/5whjjxQetUc0nWiy2IraGT+X3S0l2znPlas/QWN07Au7tiebNCYLItF0hrToUqghwpUysrA3WadpakG7dmvnHpXqed9Ip06z1ycLu2LoWfgtvX5CWmjsFTFtcGP82Oel5EEEScWDL8yZeaoH08KYoAM5cnYh2DlzN92ZBQBzY3WCeMPN75uiGfunXIk+da9BOPRuw2pXVVgLboxFFZTqAU7GWfZV4DIksFXtlh8loYrRVe4ualeCnQlSySZq5uPH0sTDo4KEELi7AJ8w3Dt77EgEhSmQmIbP+MDc55ucbIKEykyeIyEwvGpcRf+UMTwiJNgtIxv/JjHfojjwNHz/D4wb2vXD5/7bt9mfzTr8vgP/ubfw1C+ounzhCFDQ6fq3HgRB3reY41KQUW5dC5vG1C/tiSeCVg52Z3WaNl7JYBvBq8CCnzFjQlwBMurRwIVy3opQM83SDPrKm2VEikKc1BId2ZreiqLwAuc9kS+DZvafN9UxqcE+Ol7O3rCClDjp0VLHZrCK0JJBV5Istvq3S6y9KhArzU6Qhjj7n2mF1bhjx1dsww0YwSCBKBl1i8dGCSmxLmnKUiha4qnQrZR+4m7WbNBKIkjQw6MSRKonS2fblKi9USpDLpSmEKazYFucj+NibffiZzvfJ4ShTnv+zVTz5bnmlTPK5eIFmCLzGaa3ZH/OG/WeLgmVXmZ/vMMvCNXp/vWQfwOx9bQ0jBiaNten3PIcqXTpoIVQXjehIvUdQzyZHSTQi3rGa/TggkRYrYTaUCT1g8kYI2lQDZ4/y5lOyLUlDyBltfCQf2Crilu/czoGfBZwrurPtHm1yieNrpU9+PiIn43J11zi3W8aYUfrmGo+ygTHARJQ2eD9YpJX1GYzfB9o0v7nPnoyO6cY2B1tRjQ5im05UsCqKygjM3Hi/7S1mgKaikyE06U8VCotzf1EYQK4FOZLqLnavliVOgF8k0kyfYpDSlxFv6WBbgzqzdjQq01kHeTn53o1sxpEgKS5x47NmacMkFhigeMR6cYKPVogLw3/7gF5lq1V7yvo/fdcNRv5Myts1BWE7Tfr2X83VxnR1ZskCAyu6FRUNutak0ZezmmxQaV2XAlm4/+WwUQhnY+RwUhetH3AjgWcCZ6W6dyRKb6u1qLbnvRfheyNmO4cGDddA+OpUnulSglGX7xATCnZtUqrrLW/lk7olHkcf1F4+Zmx7SWW0wiBUNBV7s3otK3GwZFZUB7hJvRYWDnKjUFGnJalofpAyJEXhGkChJogyJEsQpyMvFa1k5hMxAXgJ1VjLhJpiVrN7SxKxCoj2DZPk6gCmvDkIY0moR4thH+DM3tLe87iWds99+x9SWt20M8M5gwDgOv3U8Gl83GkcEgZcD0WWtihTtRvUI3xCwU4WSipH0YrF5VqwAh80ZfLKEU2e1EWkNeFbq6ZqLs04VJ0tU3r1SADtrvnXsnWpuTa63M0vQMXYBbi+vTowQRHz29oA7H28hA40vhZu/nVcQFm10BSFMZjNFXm1p8kYRRWIUw5HHjVcN+baX9vijz7YIk4B+IqkllnE6W12XVwxhUjlnJi6op2NyMFqmHe8iB3eiJEoZx+hSpqMlsh3vTAngJWDLahlFAcT0chbFyf/bEmMxeSv9ffnfAWxIze9f58nlb7WEd5T/XQ7wR/efZGGm9brf+OCX/uGBkys0PUlN2Uo6drJ96W/yYss/W87s5QkdCjDkfzMDeWm0QcbcbguS7GtSBidvw6qweNoN46kquN04hQnmTns2/bS9zdNZw0FcOiJCIv7i5jaJDVB59rIcYBZ9jZmzUdHgTLTrpQ0ibrafIkk0Ao93vGrAn35uzJqJGCY1honAi8lZ3NXji7zozNmFk1pUlqxJUQK5INHpzBKVglxblHFyxU0gcxWMLnss89LkwqIsV3cWZczZThrrdPgzMfnTgjvDUFG+kf1e14NricNzxGHvHwZzb78lGh75kle/qArwJIoZjcKLzWi8x44GzNb9tHqspCHTHsC/sUQpXxj57yp+jxSlC0hUA7Rci09ozgz05dkeSolCi6cVd5VhNymwtRKFk5Lbga7j3jUm25S5iwBTl9g78EIePCg5cLqGVR5KSnxp0JN1GqUPb9JFyY6806lUUpw5KlHssWdbxJW7+9y9v06kfIaxoCbBSyw6Fql8S7tw4lSHZwNPK39SlFhclKRR1jKWuSuu3iUbr6dS6VeAO6sFsmmZQMbk5KuHyHGTaeYy0AtG/pvesn9TBrwQIGPNaDjCBskePR1ebOLkS9m/yQG+tLjCeDhEREPm6hbfr0a+ZWvzb7rMiEyX5AN6q4XzZR1eXtazC6w8CqKQLMJ1z4sC3C7IFHm3uM7BLSsALw//cd325MDOs5U5cyf42iV2XFdQhCXiL29usLxcRwTa+e7li3BCmpTNpkrvoqmyasWbNooo0szPSr7r1T0ePNhmnNQYKJ964rR4Vs6qJCm4s7XCpJ54VpgLICtlyXaylbAyyVeiTLYi2fyxA7KsaHGRvm8HarmOwYv68WplaI6Hv43Mzdi/hKE4Fqi+odZfIYmL4sIc4L/9vk+jpGRpeY12zbVDZWRTPj+Tzz3zC6kuSRV5s06mFFf+JEiKyUtFU2x55mAO8JzFM7kiUboKcF+nA4C8bOvANMOpLV6eijfp46RyaOU6d5485jK4Y+mjpEqzl9ULcTKDOXkeyyWlVR2eavFEESeaINF812tHfPALAx49XCdSHgMp8ROTukcCmdjS52Nde5ko2bYpyO3EvkVlJk8M6NxCdBN/VVoSoBJbDOtMJ9KKrFFZuIGZZT2ey84JgOezDyfY+28D8vIH6axQSWd5L+PBaawtJJoGOHTkFLsv3Nb4Zz/zexedPbeYDmksnQi77nd+QyjPwJtdr9V2J1uVKBOBWVWiiBw4k+OQZYmxsyAzm9qkdbbJa6q91QS4s/S9lzUmGzczJG8Ry3o64/SIUF7IgVOaXuiD0qk8sRPlsZMXbhXh1YFGE1542o1TJH40TU9w2fYRjx4ISUzA0PjUElezrVMNroTbyNUlljIyMZDX/GQnvVzh6ephdD7Y1D2nDCTSAV6lu1NIU0wIyKZrJVl3f24AFMFlHnhOnO9JgBf6/BtBefpztvqMi29cQsqrzV10yfX/qtHv/rNBs73dAfzYiTMsr6y99pJdcz/9yCMjGr7TVjkH2Cqen2n4Zf7CK2+gCvjyYyGrQCiALSoMLvMgszxUMwM5RY20KoE6f5wmeRSpF+7A7QBcDAXyyvKkzN4q7ev0Q1Z6hv/2Vy2WhzVE4Dl5Im1lVSkG5zzzaatME8jmxOQM7hyVONa0G5p3va3HVx9sszz2CaVmKCV+mtYuRj6kDF6upxeGrIzWYlJwm7zSs3BWRMrgNg/SM7ArKVIGd5IoyV0UcplS6PCinVCUYzhRBIi5lt4AI88E7exBJvGodIFJRmFCe9O2n14+99QdcTT8FKQM/uhjT1ILfE6ePE7dS/A8lc+tqIwqnkxIfr2bWP8mROl5McF2GTDcnLwS2EvSJOuQyYEtBVIV48dUCdRaSnS6Gukc4JnmNnlQ6WmTg9vTWf1Flb09FeH7IR+92eOJQ3WQHlJKgqw0tmRt5nvEp2/yaasJoZrwKbWbmZTJ3SZPHlfvGfDml3b54BdqGB0wlD6BFHnSR0lBVAnoqkwuykxeKl0u18QYBcq6VcFY4cCdTQkzkOTzU0QB8NK9A7dIM5qT7thEgDjx9TMyZbkQkVJ740Q2OIwi5KlTjCKfJHYmuQaYmwoIaj6zbY9W3VWEZYN78ulE+S+11cz8M1LUZKo6K8y36wbKVDzjPLAUBZvnDPn1AC4LgKtSDbVO61I8ciniqcIt8UrDgQrN7djb025q1WrH8Ndfa7HUCaCWuieiFIw9jUSh3BBQIocNbbt8UJLEJJmboplpK779lQM+feeI5X5AqDTDRKb2pEjdG1E0Y8vCTsuAbW3R9WNyNs863gU6c1ZU+limX0s3FTj73MsgF1KUuu+zIZ6pNKno8VIvZ7rKbARwIWwlbV8mhILBJ2MIt4XKYAjBqEY9rBPH7r3q40cPMTM7c+G99z3wE521Reo1N/pBmvIQxaJDurj6152vgqFLF96G3vmGQzPFuq8zJleCfG5e3lFemv1d7nBxw92pgjvb2SBjblVi7nUMno2bKEZOaOUyl0eOCvYfq2EIEFLnzblF9WA5fihlfktnslyLUjC5KMkTkTsZebtZosFqLt8VsmfriOWn6tjEdyyeOJmiSy5OwZ7lQq9UcGdltJA2GohS8Imb3Z4CvRzbKOMuGiNJtXd2XgoyysFtRDpLpdgAuCpVyp9LGTe2QPxE+n7950Uph1DsEXT85Hlac5f/xBVXvfDhAwcPHdW9QYxQoy3dXvy6E6eW0J6HSNwH5QbVZ0xTpJY30uUbrSzFVVkFeMZq5VR2lhSpyhORB5VZ50oZ2Pm9Ih0FXPbBy0e6pbUqg7sE8nS/ei8tDc3YW6Vfax2hVMTn7m5xYKkOfiFPvJJ1uV5yPfMKVx1zVjRlF6PvCi0ehprd8yFvvHHAfU82wHjEidPiXpJmd5OqVCqYs7DlssDTjVUTRbCZPZbpY5muKjI73GefpCuGFCmrm2yFtSWisqWLvJzfsJXVbH0CSDzt51Qm1iILTNq87RSHEJJkvEwziF+nxXhLzUuO6nFk8CPDcJwwGhvaXjEv2liwMttDRUyA21aXjg2QnS9DFfZeD+rs68kALQO02ADYOZsrUWrCLYE7nU9YbNvBemDrYkBQPuJNmxTksZMnKqLeCLl7n+JTX2syHPnQ0Ggp8ERVmky+/vJ73fDE5SAvyRQ7kfBJQR7FmqmW5i2vGPGFOwfcu8/HNj2GSYAvyC80lf/9QgdXvSwH8go7YooLTDk2T6TT46bE2llQb9LgUhpR0t+iFOgW5kH2GNLEF9Xgk5JULT6VCqdXYsBMReTzDk3xGAvNmqVec+fXeAaNTbA2RitLPXDOQ3Xmc3E1ZyyeLx+2+pLW4XxDeVIFdYW5Jx7nUkQUoJaqtHuDEmltSgHuAuRZ2axF62KEsk43YdKqCnQvZ2t3KOUCTN8PicKEL9zV4MnjDfA8hFQpqNK5IaXgUsgqi697/9nnl7Em6WTWUibTgVzmWjyzC8NQc8XOmNe/uM8jR+uMY59EegyNwk+YeC2ZF84Eg7t7O/FaUNk5NxglUJkslQKr0l3zUj2er6gSpCnNMjTFqpGPfRMgzMTqvQHhVbNhVRYo5wzKzs/kyG2AcSIZDC2jUcJoZNBf+cqX0Fqxttal3fJBuOUry26tA/vEFVWBeB50VgOIdW9skrnLrJ0FlpUAs9iBoJAmJaswZ+wM4MXk1FyipMztGNvmTK3z++KxlwaXWkUEfsjjxwRfurPBYOhD00OKrHKQkj24QRaz9D4nWSmbC0vqQW9UPlvMNVF5t0+rFfL6F4359K0jHjkcgPYZGYmfanFl3Ca7hUwAkeACOyHcjIZynbUqzrFWFNJFOjbPVpUsyDfWgV2aItEmTNlNSc+lKZi9Glu5v78O4CVs569uAtzZ/WSpQbZHkLUQxR4PPPgIjz95GGMSdGdtBSkFYRhRC1SuZ4ywTo+lo25leceFrK9u4sSVMV4JIEQB+EKuVN+4KMuRPKicZHCnt8vZTKXSCsO0otC1c6WPdXk++AS408PLptCmBf5axe7QEZ4XEduEz95R57bH61DTIF1Ds1cq4a2UxpaP8hcb3CoztcnKWcmbkRObzTUpgD4eebz86gFvfMmAJ47ViGMPKxRDofES8tckkoLFi5ewMZOXh9irdAU30rG5+9ptBZnp8Nzvzxg9W21TBi/Ye+IclwLO9SxuNzTlysZGhrkyqIsJtcJNmIgl4WoPqcZYa9FaSceMyhW7Gwki3ZDVWDDCXbFlJi8b7E8rTyZYOwP6OoCX2rrKOwtUgF2RKuU0felIdywogF46dLEJagZorwTqzDlxjom7VyrC9yIePir52M0twAfpIYTKu4hUmrYuZ11z1i6vZHk0UjqFGagoM3dJg1vhxk+rdPRDvk+8xlrNO1415Mt3jbj/kJskEBnFIBFpwVcKuiRl7XKZxAQVWWsdi5eB7og9vQgtRqb7+ZR0b55ZtunfsqW4KZMk+ai97IKvtu/lJbWiiNeelghSoFf3BSrV0ifucZy4bdtJh7nqcqeZksUgFyPSMkpRnt5fYvLS51Te72wj7Z2/gZK7UF26SsBOD1HyvDOA53PyyiBPW9OKzaZsCvZsAH4B7gprl+6zxtpMqigV43kxURJzy711HjtYh7RlT0uBL2xpcmw5sKpu4lQl7yq0bOlB3gBRqhGpVBcmblqvK6XVjEOPq/aMePkLHIsPE8fiY+EzMqATUQR+SWYXuvxFIVHcC3Ces61ITqe9wSp3vpXFZT+tQFiBFSCtKKRKyfmqaG+RyZcS4CvsLdaR4IYAz3A2AW6bbV5WLhRLQOni92mt05EDVpJo96HGE1V/Za2TXdXleyozTmyJvSZS1uukSdUxqe4RM1F/Isj33sl3L86abysND8XWJUpNgLs0FD93T1SC0iWApxLF1xEHzgg+9IUW48iDhpfKE/LWNFXeJbjsnFTsog3W3QkGz08eRbq+WoQ1qcU1zUDyfa8f8Nnbmuw75S6+xCgGiXJVhkma/EE4/Z2kYzkmVpLcDSsBXGaGgnWS0FoXTFrpzpGVwgHciCJWypjcFI5YVYKST8Iql0qX3aanM54rhsYEexd7caa7KScWpVPP3oD6/d/9zc2Nuvr/zp87cXmZactXVbG8lHfhKuliIapyInM5ZPV5JWRJcsjU2svGAaf3SlYsv8kjG5lQ9rjze13obuegVMFd3qunKKZKd3/QUd7M4OmQRIZ88DMN/vRL0xAEoGoopWkoS13ZdBwFeYOzV2qNKzKp5USUpJgMSyVALWKJwnbMLlohSRt/i15IJS3CGi7YEnJqSfLAYz6xcJMHjFAI4UppqwmW6iqan1lbXl9EZVXJL0RrK/DLnZ/ShZFLLUp+debQrIs1nm44/uQMS5HHJZPbC5a3PimDO4oMw3HMFVdeu+WGG174Fb22cmJamO4b6v4Ygc+IIkrNbgaBKCd6qqsc5c+rvBhXgssKe5clSVmDp0tdmbUrdeC2or1lDoZCkqiS9lb5Tg+ljaiUnZAkWaVgxt4Rno7Yf1ryka82XF+qdOydd+5nf19QGS9ctOBVA01R/iIH0AQ4TLk2pJgraNMJvflY6kSRqFSLJ5rvfvWAT97SYO9JD2SIFZJR4qFJ60WyzzpJT1SSJX4yqJakU1aSgZuNlb22LAaTFmQqUzPdLa37G9ak/rhx8sasc0/YsLhunaQtA2hitaP0morPKAV6YoljwzgydLpjzi6uvcGK49O67vWJ6wNm2zFLax7jqACbzYAnC3349fpDK+5J+srz4ZCwXpaUdaysPi4D3HWRZPq79DgDclbtlmnwErjdRFaT3js7UCmDyvxuFaNkjErlSaJiPnNHk70HCu0thXTed95BM3HySies+rVg8pzZyuNqA3LFEy9NpNJGuNoUWaTww0hzxcVj3vSSPoc+EhAmCoQmEZqhEOgkte/IAt1MegrKfJyHwKleslag8pPtpIm1NtXi6SFskeIXYKQDvhGFhViWoiZ7bFgnXSZNiWe65WRAWToXZBHHltWe4fxKCHqMPtMZsrYy4PTKGGkbmFI7XxnoWZCZpQ0mmbv82tYx9wZMXg1GJisHy/cFa2dfZ6ydgT1j7hzoqszkhe5WWRCZbXEiDVoWQ/OVSvC8iMNnFL/3iTYjmc6CyYLLsvddroEWZaaeWMae7kRVlu/Uzcg93lJtSil1X65PSYwmTjyCJOafvrXPX93S4NBpDSoCo4mEx1AIVFJU88lysDkB8sybtzjnIV9hEEjr0vMWm7J25ombCpvb9O8Y6f5NZWWeNBayj6oioaqfm5hghckcTFn2CNK8iJJsXRizfcuQufkx+sv3+Zw/73HqqOC5l9jKbxWVv2JzoFYkSunFZD+/PpAonpsE9iTI802bJlg7S6RUwW0KiSKrDK4r/nYK5orfXTqkY3FPh3RDwx99us2p84ELx6WHEDKVJ7bie+eP2ZiVJveZfFpGyk9Y1nhQ7tHMNKfMj7wZQiqSWLN9YcyPvLnHr33IpxO5gMBaydgoZxsm2euwkAgKhV2AvPi/+45KT7S15MytssxmFoBKWzC4LZ27zF5OPwuzwbneyA+vBpxVAp1scii7fxm4PQGzbY+rdkuef4OhPZWgL97kMS194hXNcJzgeyqvHahqo1L8PUlSk1pq0i3J3kTFE92YuTNgF83FxZTWnL3TgvsC0CUm1yZldJNLEydHTEmqZIwd5/daRegg4uOfDXjvX7YZG8/JE6FyeZI3FU9YYhXdnb93MXGGNmbxgp1KGc38JGYpe+s29DKlUtrUVYmNpqZjfuztffYf83n/Z5wWB0UiJCPjAk6ZkDN4UYCVnUxb0rglOWpB2UKyWJuyuSgCw+wciSwYLH02Ng90i3JZM4GDgsHXW4brFpriSlyX4RTC2dyBD2eXpzl0Yo7p6Rn0zJQiiTRTTY1SeRFx8Xsnlo6NgoHsBZZfXBnIOZtvwNhV/W3X6e4iyEy36C5vGajKroMpSZUMzCUml0V1YK6783s3a3BlFf7qqw1Wxxm4HcA96bS3FlV5Ull1Mrtsg8+qjO9KoE6xxDLhJOS7kZlyKW2pTlxKlFEYo4kTzZSf8NbXDPjkHQ2WewpkBEYR4fT4ZHVh9ZJ7eiZ3eaAiKZTVp6g02CRlcQfoEnvbyZKFInVPKZYr2NxWyHEdk3+dlTC7xQms9QRLq5IYgXYDJ90uYlrL4sqmeoVV/1bx5EbLTJmhy1JFliLoKgMWQVtl+7pyjUceWJYbDKpBZTacpgB3UgkwsyAz2+dGl9jba8R89ms17n2sjilpb9fUkMmTar2JLFXFbXQxl63wjc9Oyp65liwkymQzhC0HnVaibOGLx4mHNjEvvDrk254/4E8+54MKQUisEIyNRgnhtiDJAk1RgHpSrmTWoLXOrs2YXclCRlkp3CAo6y5uY6t7a9oM6CVJalOZJIRI9Xr6KZSdlcy3n2BxkVmXzwD0BOeJx+keo/UIdBS7Wd5ZH97ktiIVpp78oxsAHFHUQW/kKhRMMuGaCNJG1Qn2FlVgFy5K+rWy6HTEmJSpYyJtqqtLkiRzTGRJokjnngRexKHjkg99tsXZnu/2u5Zu0LsSFDs2bLD6VA9RAfwke0/eKomeErNPbtZV2US3VCeuZHbvtj/Z3Ez4/m/rc8djAYfOSRARoDBIRkKWNpFy5yADdW5jli+4Mp/n2cz0PJTZXLjHQoBN3Tb3OAW1zXS4pVo1anNAi7RLzM2Rsbiy8ZIisCXg2wllUbo0M12epM0angc68ES6i4HLFCZpVqgsITcMBsosXWLlcjo+A3vB6Bvba5VKvBJjTzL3OpDnM7InHye59s5YXGfjgFWMkgk6tQV9P2KcGP7go21ue7DuetukdtpbSte1I4r5K3kzQfb6Sp/DRkxexnkZ6+szmIVrUezxXi6fLZfRunYzkzkqiSGWGhVrXv7ckB99R5f/8Ac+41i6DJSRxKmrIo0ovTYH8soYB+ta0ii9Pve1KMUGaXe9daA2KYtbHJBl2nZmst7NEkbsZNxSIgg78XWBvVTCpBfUpHTJXr3zww1hmBCGljCy6Nm2QRrDbNswCB3AK/9+gxdSBvfk98RGAK90dUxIk2di79L+8y5VPyFPpM2fc9tmm5JEKR8ZeyfpQMk4Z3DPj7n5fo9P3tZgHHpQ17n2ztk7D2ypHOuYu4TiHOxs3HRcSV5QpKOr4Aabrqo5e9tinrg0TqpkQI9jTb0R89aXD7nptiFfvl852xAJQhIJzZCCdMi88ZJcsTLzWEopfMfrRV2KTLOZAlT6/rLXLVP5YWUGyMxFcSDNGL1CiNn3seuxVDL2LEVwLEhlToU4LFFiWevFrHYitB+jd2zpMdPs0lkasO+YTxSnv2DSxtngkM8E8lRv5WCmLElKtcoTwHbRsE17MW3VIlTFhCUlSto7n4Rq8sc5a2eHKsCtU3D7XsRa3/LZOxrsO1Nz0kS4kliRaW9BaYKUXQfufBXKyUCUgP4M+iQ7JdaxZmbJVQ9RgHvdcKCiRkVKhTQJ0miisebSLRHf9tI+9+716YRp+tU4PR6iyPaBkKTeeKWMtqBGi0vu5BekdG5L0QyRsXkqVXIGT2vIhU0Zu2hjs7mrkjL2hoxeDjqLwrFcVokC7hmbCNx4bN8ITq4agvOWnrDoz9wHS4uw9/GEmXrkunq0mypaPlnr3A+5Htzr9NU6MFRHsVUGxoiq7pZlWZIOWMwsqUySyBzAJZDLiYAyS+SUXRTpOuUNCf/9c3Xe+4kWVui0DK3M3hTaW27wusur2uSSWtYmT8Pe5ZLjqhdelinrW9myneyMMZhEYqTzxZU0RImHVIYfe8uAg6c93vtJTRQXIDcIxkKiTDZIIgNNCeQ5qIWzQ3CLQA5/UUxZsOnzNn0uCyalsKk/XoyYsDlYHYgtILKEUNYwbYsLAJGWiGSfOyJtmS4+1IxUlHKz3+fbkp3bQy65rMv0jI9eXfJYPO9z9pwi2Brjae2aCqys9NWtL4V8hsCR6hK0IbBl+fnS6LF8NFgB6HyiqVjvmMgM3GpSnlT3rFfp3jNOg0d4fsTBs5JP3tKk3/egrtazd17zXaw65QRPfnGz/jF8/SRPweAl0JckS3luiTFZvUcJ6LK0q7R0WlxKTRQltJoxb3nFgC/cXufgmTT96gZUkwjBsPxKM3DbAuw2B3XaVkepRjyTJLJUWJU/R8UlqQBd2jQBVACdzE60VXYvOy8SN0dRZF/LwtPHinzygqegXoMtswHbphs0m3X0lrkAEXucaUu81BNaN+w+B98GTC4KwJaBXZ4zKCaAXWXAEmunkiUb5lgOLsuJHSnKg9kz58RUttuQJVkiZeqYpEyudcw4Mtx0T5OvPlR3w8Gl5wA+wd6ZbamEqEqrTMuW9HfO5KVY5Ru5VTJzEzLFmDR7mO8Y7bYicbrbFDLFSBIhUYnECEU01rzmupDXvHDIic97jI3T4WklFDGasXByQ5o0hBTCLRei2H1a5ctQ5qi4a8X1E6Qp/Ux3k7kmGeumtePpeS4clgLomX6vEmb6fOabi/L33WsRmWUpygE6RDEsd3zmB02E30ZfvHvXmk3CL8zN1r5DpwMrq42/pSxjOcAqg7IMdjkBghKgq2w9IUtKo7/WsXYOdFNo8NLuA5P6W+Xp96T0OEZK16kj/Zhb7/f59Q9MkVhdOCdSIYR0+wCJIi1fZfBy/LAxe38DScwC2VRPUDllX5YrhmzqVVqMJTbQ5NJ548Jo4tjg+wk/8wNd9p3U3HqfxPgihax7A5FRDCuCypZkyQaaPPfC0+Rb9nqlTYFWMHcWiGZsXia9HOhZx0+e9S5YOgO6lO69F/Iks07d680997SrZzgGIWoIPfWFmfkL1tSuXTv6nbXlQ76nflTYBK1VaVJruTR1gzLVcndNPn00S9+mP6eerkgqlR+qVEuS7x5mq89VDlMUVD0NuMtSRVcSOq7X8uSK4Nc/NMUdDzXdpjzStaMhPbQU1CUEknSTK7u+drtypA3Q+ZCc6jCirOZdqomGaTHxWaWMV5QqVEsCyrFJmUTKDRfrdluwMD8XE2jLvY/6rA3lxFIj8yniRcVhqn0rwC9frV9vaRJFxWlJepVtxuL6Fvk1lc0a3EjCFaXbJc2XNy8XGwxA6gKqgLPnVr7/ySf279P1wDUhhOnYomwUg5JVcFeyihU9bqtzBCvSxFZkSJmxRUmS5MyYs/Z6aSInNHfO4hsdqhxYpqWw6ePET/jQp6f41Nea2Fq6sZZ0+lsIWem3LPobn6FjPl+tRPUETOBCVE7shuUVlQKicqBZnV+YBpnSVrS4taaoUREKaQyJ0MhhwltfOeTJwx7vfp8mDOIC4EJgjcc4A0oqT0icMLZk9eHuVWYyRJUkTC4RMtmSlueSyZZcXxc4ycuwUykjMnsxtRYz6WelTZkbMKnsKV8HWddzvvq5VccODSoyrunY0+kf1RBpUWJfcvYtJMJkwFkOHm2VUahaf8WFsDGwxTqQl7fKyNwUk64URYdLzuAyKTkpZXAnyFLtyZfvC/jA55uMknQKvsisQbeJqS9sRXtvmJovA50y4CfkSgXsGzOfTYO7zHtel9HEriuhtbKU2ZQlZ0UoV5gl0+Is6bbcCzzDD7yxz12P+Hz5IWcXZt44UmCsZmxcO1peQWUmZEopAZT53znoyyCXuKKrtNkilyw50ItzXwA9vQByoKclBaa4FjMHxiJyx8ZlXV2HhU0/OIt1W4OLFOCDUYIQApO4xWpSlmRZw8ka7cIunAgY86XzaYBd+rkykEX+uAp054WbEtA3AveERMk3Ls2OGKUjBmP45T+e4vCpAKuL3ZKr2rvY3GrDxA7rQVyKLQsg50vp0wvyyckE1YxmufiqrMfX16YYmVYcyiqLi8QghEaGht3bI37+hzrc9VMBvVH6Zkz+IknQjHKZsB7kDrgFqLOLU6UsnAHb5iBOrUPpGNi6S8qZfCbT2QXQZX4h2LyxOcNRBm5ktsoUy6B09J72ILl/42tB4Ls6Hr0wP4eSisGgz9raktsxQJU0ckmOqEmLT1aZTT4NsMs+ePEzBaBFqUIwB3/qlhQ+eAnYKejz5E0lmVPanTfdglrriDiB3/14i4eeqjnPW2bMXTgnnigP0izswUlLdLLkt3BPsoSEeFq+XsfkE85J0QBB0ftoRWmcdam6UDgGz4POjNETiRHpkSgnVYzh+ssj3vWdHf7LR6cJEwnEqVRx+iJBMTaZFt+AyZ1AR4lSllO4DXptmc2z1rXS82IdY5eYXdjK93IXRog0O5pKpjSp5ORP5sVnzRkmz9vU603a7RZJkqC/5bWvp9FosO+pJ7n1a19Ea7/C2sV0V1tMEy3Ji0kmz666DbV4xtLlxxOD08u7eGU7h1WZO3ucFF64Km83XWVurWJ0LeEr9wS8/+MtOkPPeYCp503apJuxtxZV9hayqsOLzNsGMwgrYZmgGv5UBbetflnFewXolnICqGDtdCpsJknyscs2HfkhSaRCWuPqVWJFu2b44bcPeOCJgJvuVtAQRS4dQApiIxnlq00BcovTxG4gbZHlzGSJNCmb5xKFvNiqzOjyaYH+NLIlfc5kGdNUooj0NWTNFkq5FjpMzDXXXsfVV19Fvz9A+1rjaQ9Pq3xzpio7lyw8WWXhjYBdDTRLU07LF0XlApkILoWpgNxdaIaqTVgwt1SFLShTvZ1VCUoZI3XMU0c1v/exNgeXfdcGn/rd7l7m7L2umXgyqGSCuSkBOwM7OdFtfCstrxWQT+juosqwNL9w0iO3GxRiWZNvKisyqSIsQmpkZNkzG/NPv6vH0bOaA6cEVpcFlgDp5SAXJZDbjMmFdVrDOK2s0hHb2San7gKweZIvY/Wspc3mBkM5GVT8rHgaoMvsb2aluqLw4LMaFykNxrgNuJTWKKXQ2Q4IgW9pNSyBn43QKvZXqWxVUe5omZAhhTtS3saiFEjKEqgrbsp61q4+V2LxrKhKmBKTlwqtZCFN/CDmbEfwy+9r88mbG1hPFen4VJpsxN5F3ff6lHwZ3OWkTkVyiwmQT9B4hbUnwE4F7E/ni2eALgegWeePzCv63OM0+EwMMQZPOlelM5b89G8pzq0JCMpMLnAzViQjkYIKmwamRRLIgTuVC9K6jSNyEKcSoiRD8sfZNZ7jSeR/Wooyq5f0uSTdmCK9MNKMqbTu7xQulSUMY8LIYNM561JriecHZ+uB+NL2rW0CL8LL2sBUdV5HNm+k0myQTZXKOmkqsz2yNPqEbz0RMCpV3Um3Wv5arQysBJe5Bi9cEykduD0dE2L4zJ11vnJfI601ySxBmTJ4xt6lOSUl9t6wmKqkv2UJ2Hn2coK58xhzUotMyJV1cwpTiskDt1IbWeaglPV4YrJS2lJq30qMVelz7nEca4SVvPb5I9704gG+iCGOwcRgi8NaQ2xgZGBsBJGByAgiSz5sPjakh3ucpIN4knS+ZZw2bOTPTd4bSIxNd1t2X2e/x+T3tvJ89edteriZKP1hTFCfJk7El4Kaf1YIifrN//zb/PA7n7fWqCVrWo7+wdrqEsZodyFnJ72cgMmSN5WkTVG6mhdEqWqL2eTPFYmgqs9drjWRJeAXF0bZCjQpWyclmeLmnCTS8Onb6vy/fzjFkbNB2sRQJHSQGiEFgYSadIPstSDdmq/8niku4kyPy2Iwfz7lVoCUknxbFVEd0u8GJclq4iZz6iaPckC7zoGa8OUzr1iWrdnqz1biBAEYy2w74YqLY06cVxw4rl3CJ78as8fOUjTplSoKAVYsUaUrvPDMU6ZOXRmb1rVOev8V/z9/XlR+Jv9+KWFU/K7S37fQ6Uds3XEhQWPqXz/4yIF73vzGl7s9em55dIRUhsFKTNyVNGqSYkfbkgdesfIK96Na820qTklxQkpfZ0FoJdAs6fGyNSjSILIsU2SSuyhSFt05Wc2J5yUcWZK8/xNN9h0KoKVySeISO3o9e0+CJntcZu7yITM8TGb/Jpi78nXhomwYXCJww+hL7F5yUWRehVhN30sBxshUlrgAVGTMLmTq7jipIqwlMZpobLl8T8QPvLXHfY/5HF0sLVV50AnWaGIp0o0h0hVFgjWZXeh0uc1S9yZNzaeeuUlnE1pTVBpaYUv6OpUueWBqS5JFFMGqKBJGTm+L7ArKiWRuSnL1nhHXXbHGcFTahGrnjmvxgxqHI49jp8/jaUvgF9pblRi37Iq4vdFLmUq+PrBFBdDkYF4HblGwuvs6K6ByxVPu61SaiPRI2XulJ/jtP21zy0O1okowy1hm4JZOepZrTso9lkqUWXC9LbgO+JPkVnmw8a0cXJZprVKXUgK5zQHktLc0onAYKt64RAjnpghj08cqbRuTCBRGGJKB4ZXXjfnn7+zyn/54mtVh4aakxd0p4DVxesUWoCb9Xhr0pRpZCXLPvHBGqOhsk/ra63Q3VDp+yi5KdiFkL0nZ1BdPX7KSMDtd46pLL+Haq69kMBxl1yhcdfF2XnnjVTd5tvvr7VYNRCFJymOIVUmL57q5PCZNFVIiazbILxBV1d9lzV1Ju1dkSYLMf6aUsSx53hnIZVpvMhKWP/hEk/d9vEUv8pzuzpg7dU3c7L6iWydzTVQZuKzPXlaYOgNzOZDMu2O+IXyvW4aLMtkJX7z8M5WEz8T+Otlz5U58K0vtba7zx9hiD86Whh99e48fe2uPuold167JNHlU0uZOk4+t0+WhTXV5ep+UtXhS0uGVLcLLR7bxLZWfiZP03yfl32OJU61dzCEk19+JsRhrEarGvkPdX69NXXOT8C50wAf4z//5N7n4wnaEHV3iyejbtRgTBOUtP6qFUHkRVV6+SvFcyuZZE3C5j7Kcdnc/U6oOrKTgqw0MMuuzlAZRcU5KmUoVg2d47KDPr3xgiuPngzQVn2luL3VQFFIIapJ0E9dMdxfaW2cZXFEqhMofTxZLifz5ygxzkU1eTbW3LA8indDbslS9mbtR5D9bdaMKf76yiwNMJNbKe1U6FoeJeuv0qqn5hk0zCXc87nFuUWKzq7xS3JRq8pLOLttElswlEfnXeZGVmNTZ5cfVmbeTTSCUL/R8aZv8efcHglqNKDZ/+tWv3Xrnt33rGwsGB3j5K1/Pq7/lzVx88UUEfkjNN8UW19nE1nxnhFJVX7niLw0StS4XPxVtZdk4h3LVXy47Kl53ytqpa6IrVmDqd5dALmWM8hKeOOzzrl+f4bEDAdaThSzJGVyWbMGi5mRyp4aNrMGNZMpkv2Vp/7D1cuUbofHyiYUNvO/SrmimkCRlZyVn72y77rT7x5YmY+XNykaRWI0JFddeHPGen17jqj1jiJJ1rkqZyRML45TNQyMIcyYXBROX2TtJ2dpOsHWFuQtGTzb4mTgpHcb1XkYxhDGEkaXbj7jwoj1853e+hTe96Vvzz1NnD2amp/H8OtNtn7V6jOcLqk0LVW0tSs9Nfn9yO+fisamk6SfvM4BnGlyU/G6ZgzkpSReX0NGeoWclv/+JBg8/EZDkyZyy9nZTQfLAUpQzlNXkVd6iJyebYCfGQkyAnonHXw/hG7JaKYuZ92lWni9ZiJM149bN7TZWIIzACInAFT6ZlMndczI9VwphLAkGLSzXXznmn7ylz8/8F49eLMBj/Xb3MnsoGaeBoZ975M4DN1gXcKZMLtOsp0nnGLrxEoVHnmvuxH3GRlRXp9RuT/U7pQGe7mciAVHoJMrc7Dy+P1gPcO1ptBccbLeDQ3Oz/p44GmOFzLx993IrYJ+8t3mQWfxsCcR58DkRYIpSgJkHm1mQmRT3FfY2ebZSezEDI3j/J5t87CtNxkoXgBblrKWz6DxRbLmX1ZtMZi2ftlKwHExWAktRrOIbLN/fIHmXnBT3VSVtn+FrHaNnAejGySCZl9cahJWuB9I6N8UFoAphDYmx+LHlu14zYO8xzfs/0aIf4T6wpwG5RRJlr9sIjLToNJVvhHOmlCh9jXN+ZFKWZOuB7OIfN445PwcV/FU/2Tix1OstvKBxKAi8g6NxDutCorSnd7By+uYvtdv1D8/PT1EPRtS8BN9Liq2vdXWgpcqG6ExU9lU62isJmmqAWaTaS9bfpM89YQnm4BbOHuyFgvd9qsmvvG+K88teKmBLzJ3LE1Fib5t/+Bu3oVUdFckE2MtfTzJ45We/AYEyEVBmzF6RKpmXPBFgbpT4ybt71nXjy0o3fhZsOgmj0vkqii1zhp/7oQ4/+JYerSB2EZ1NXPBpk5JcScA6SzO2MLIwMoKxwUmWVKZE6eNMtrgEUEl6ZLsUlyVL+n0nR7J793NRkh0QJjCOBZ2hYXpugUaz/eGPfvrOL+25aMd6BgfwPI1U9c/Va8mb47q4bhTGGJOdXiCrMcCWrqoJNmeC1SdYO/86Y+v8+2X5UpIlIqnclzW4rFk+9bkGv/pHbc6uakfNUq/T3WXPO68YLAWPlXLeDNCTzF3yuasFVuVDfD3C/rpsPhlQ2VKEtnHqnrTgCteRnrJ2xuDZcybdCdgxOIi0ZsOdL5WHelFo2TqT8HM/3GW5K/nwZ1tQy+pP0iUE0t5NC9JNsk3ylLtjXi9dgSRulkrmcav0s5QUakCW4pnq6mkrRCJLn3v2/9hYEuEzTNTDjWb9c4kdVT7TCsAXdr6JA/f95B0CcT9CXZdr5iwKF+U/WgU0G4G9FMEXfnkV2MXjTJaY9GeympMEkfrgSqSpeJGgAsPBk5o/+WyTM4s+1MpypCpNRKq5vTygtOkHbPNkTjW4tOvAO1H07di59HXVcfjGwPyMQKcovMr2plzXu0lJk6e+cy5NUo/cZvc23b47rVURVuYeuTAW18LgwB6Hlq3zCe/81gF3PeJz6JQPQToRqixXcqC7+MakksUYB/QkXS0L71rkQJeCdGe20mBQW10lsz19io+6yMpmL8Ea8LRkMBzf/3t/8uU7vvbRf//0AAew6nIQglG0jyRexfNSRhUg0qu32EG3YOTseVl6/PRM/vTgzh6LFNzl4FJmCR3fcOi05hffM83ND9RcA6WclCQFg+faO2PvCUBvWExV1uOSinzZqJKw7JpUZUpVykzaX+V+Q5tHlBQJn3L2Mmdxm7spcqKctvhewd75kSaAhBFYUqCbYiU2VuV7YpuR5dXPG/FL7+rwC++Z4vBpH/wyqCeAnr9sQYxL7ydAYkU+droM9MymLOKx0sbAABPsLSitovl5c3J301yN5167E2MMX/to9fWsA/jCzjcipA5XVoeY8RoyHWKZAzP942WAs47JSywoTeVCKLN6WZJkjJ0DvixPygD3DEcXNf/+96f42E0NVCNctwAALphJREFUQpHuRrUBsEnZoVrnvVGl4GStR0lXl9yR4j2XvjcB7Ke9lb85Qd+T/u+6YvGshDZ3VCbrxNPNerPMpkmr7tJGiCLjmYFdpjLFFeYakbI5KZMLl1ip6Zh3fMuAxMAv/O4Ux84HzlnJ2ZtUsmR6qihiM0IQCTdvP3G/FW1ToJeAnI2IkKVVU6ZLpix99iK/fNzXSrgt3LWyXHnxFn70na8Noyjh13/x6wDcry9QazR/amHLzivX2P9KT66lyZz11RPFSS+VLFYkTPWikOsAbkpMXnZQHKhFCeBKJChtOLao+ZnfmeLjX24QSjWRqZw8XGCZDa/PN7N6mqMsvTb0vXM2FuuY2j3IUuF/y5udZOyJOnCyoNLp7aybpfi67KiQAzqzDR1oZJ7qF1bmv1ykBynwwRLHzlj43tcP0Qp+9renObboV1GTaXGRSZXsynRJocQW9SQxbpNWlcoTKWxpjrjIg/kM2FnNd7FQFGwicaKoPdfikkt2f233RRf8VL/XW/eRrgN4s9li8fgnu62m3ien4pfZeKQQhfVEiW2KNLXdUK5k95XAkyqwRS5RDOUAM2fxFNxCJZxe0fzc707x8ZsahFnT6IbMXWXvzDFRwq6TJ0UsUa3EI/u5MpCzj7iMYFG+W0c53zCwS3fF47JPXg4wMyNxQqYYMqyJAvS5Bi8FnsZlWDOQW2MxWZxlQKDIRhUnSYwm4bu+ZUicwE//zgxnVjzHFE/7ZiSpEMTRn3RyBQdylYJa2dJubZnNLNL3QDWwz68n0r0xLWAk9dhPpN/Y9wd/clP3n3zf674+wPNfFK+8y8jkBbNT3eujWBNFHolRBdBLMoUSS+eyhYzZN2D0CXAXoC8Kq4QowC2VIfYEf/TpJh/7YsrcYiNwlzOWlBoZSnu4l+TJusIpqsvkugRP2T0pOyvZ86Uz8Y3iu6zJy2BmgsndN0T+jSqjp703le1HbIXFhXXrTgbqTHs76eKYXBjXlGKsRRjlQJ+mbDSGd7x+yL4jml9//xQxKVKfFtyZZElbjdOMjkkZPeuGEzb7/FNnhYxYbKHHS+CObZo5jRNqJmZuk3x0cbX7roWZqQ0/3w0BvrDzLXz4Y7+TWHu1VePjvPiKIa26ZRx562zDsjwpHpfuS+Au9LkpuSupPClVDIoM4Cm40YIv3VHjI19qMJZpMbrciLVT0DPpeW+svfMt9jaUIVVAl4E7mWio/MQEsp8J6OuSPNUYs+qYVHR4sdNddQvCVLZkyRabDq8sOypZFjQFdg70LOi0zmExubPizp81Fh/L97xuyH17Pb54Z8Ndb7L8DlTxrmwqW7J7kf1wGmkLt8qAyPbFmsgvZBNwi/NhgchCEifMN9Z47XU9fvi7L7OePpW8+pVv/8YBDvD/t/flYXZUddrvObXerdf0lk66E7KSBAgECGsAkR2FcaIyLog+6qAs6sygIKMiOizyDSogOjrop+ijjCDIJosihLAlrLImZA8h3Ukv6b693Hur6pz5o86pOqdudacDgQDOeZ7b99Z2b3XVe371/va9Zp+GwWLppgv/c8vs7531VO7gOQxlT5HEqulQAXIM/CTgFSmv8nDCoNOUUKEkCBtKERO4c7mLr15Tg5c32KHFhIzPuymtBreMFIyzdeJH4lgezPDykwT4BRlRpHaSwlRPgAkgXF2tKJeRDRzQ+bjKxWUGO5fcGgKokpZwzZqSRlNCCU6F1AZAQ7AzsR4wQXmABTM8XP3lQVxgAHcvzypMROHhhAvJLQEvgsj1QifK5/BqycJC0XWRT0iOiHdzAMTnmDdlCNd8JTfcPOt9N4HmxrzEdKwNh+zbwR9aseaa0446sHe0VI+h0SwCFioRYfHLuFOZ7BYcLdNAd8iosSREJi8EicCp2FJChUJJTOD2hzO48DoBbluR0prkNiLJLW3e6YFUSiJDwlqi9dtJSHMkP8vrr1yvXVYseepHwUBITEEQW0qQXFY9n6qCCWgpbWH2fczB45xOdV1KUFbUttCIOi3zCsHe0zxcee4gTj1yJHQ1MiY8m4mXDNBigR60lfZK3RaAMxaXzADgUqDgUtikgOHgmN7R7a9cQ8jMMd0KY0pwAPj4iXNRKQ9i48sz0NPfjZpcCYZdjrJoqMKhq++wkD4kvoW695Np75QEsSQ3wsl/+/IMvv6jGry41gZsI5YKY/Bu0DSzoJ6ZozlykpRkrHXQQZ0Evqp9RvtNVNFUPZcpYJcAjoFMwDnTY8cJNN4dVV2FWjskNhPGhfUlLVEDtELpKmkKITEFYoKn00qABdM9XHbOIDgH7lqeAUAV7wvXzYfSO6RKbQBxqzXlswYheZFFaT1KkKEcjRmG1ro2lMgiFHk6954QwFtb28qDfUNn++3tv+d+V46I2BPT9COJG0UHq+fH454B6p1SPZ5A0oIi3g2AGwR/etTFRdfW4KUNAtw0trECKt+OrSaR9IaQ3Kjm3iQBdtUcqCmQSbBXKZEkIcmJPhPUi5Jy75Km7uiG82olMgawZKIkAejYo4kE0JkoMM80ykJiS4vCzxkNnUESkoTykItTgHAWTgh5rpUA+0z3cOV5g2Ac+NMjmfDcpIrG5P8tFU85S6l+IbWLoHm+xEWX950jICZ8cTFamtqGh0bI2bNmtpXfMMBdczvLTp66sqH28MG+DU/kXKcE2y7DNr0wg50wAKrmLuwQPO6kov4XuglRcnFFsaQEzCC493EXF/ywBi+vT4J7DKVSINKAbhZM1jepKlYUAZlXSW5Ivq1RkkQvnmjHaimfxHjq/UxZzxPbeWJlVYy4sl/MxYUdnIXgjqwrwoUeSWyOWNGkqkk79oZCeDeJ7A7MJBBDkM+f5uGq80NJfv9jLgIgIb1VtFPls46N6iAceXgYQ8OJB84cDHEbruXgxBOPHpwxvWPl+s29DOOMcQGeyTUDxOnh5ZGlja0LHsTIXRZ1gO39HL074tjoae0e8hmENTSYvDA09rqBCCqjg50SBkiqIsD9wEoH/3J1DVZtEpw78pUnLSW6x1JaTQykcW61RstOKEkaPRmDfydxno7wnQ/Vk5kEu7RxxOGwKhaU9DaiKqKqlzMWQAxcpyjRPuE9M6LPVICcgrMAnNKwHjcV947LfE8CVuGY1+nh+18ZxLk+wYMrnRDkRJ6kuH+RHQQKVVElttScGSjnKGQCdLT74toS9PZb6O0vg5cMHHfcUV7fiL+0oaG2J5PNYbwxLsAJdcG8F+HWztyytTi47tY/r5jT21/EsuezeOR5W1AChk8cP4LTjx7B/vMqmJQJEPghTwwfpTFdidvVxZaUkGJRMArc/4SLL/9nDVZvtEO0poJbldw00rSNSLnk1colFMAnQa0AWos1ltJboyU62JNgJvI4aUSATmXSgB19IIn1Cj7SAT+OZUWjMNLpw4XDRwW1wr8jiR1z8NgWiRjwRAR/ybbdLAA8jtkdHq77twF86eoa/OUJF0HkZxe13NSLJfIMtMcT50DAMCkTYOG8Mk4/ZhQff38JpuCTjzxv4aFnDDDSiEMO7Vw3bdq0LY8+uw6H7z9jXIDv3JLlv4LzrnweHZNrj3x8xSvL/nD7oyD5DLhBIk2ZVjy0NpVx+hEjuPCsIqY2+2CePH8VDaq5MHwRi4CB4C8rHJx/VQ1Wb7LAZVIkVHpiCkCr5R9CehImEIeljyPnjig+ZFIe5VaahOu5ljLHlKg1T+T6RO6lkn9p0LgvTFTQPsq1pPEyiXMwZWmDeDn2nEYF9InMW43PTS3bEdVniRJEEu0UiahFo9ZST63rqBdZ0tIE1QoGWiaVWI6iO0PLlwynIIQDFrBqs4Xzr6rBAyvccMJYCW1c498Kz/IYprR4uPDTRZx+WAnNTRysbCEIDHBugJoMpjkCmj8esPdfYhg9D69YfQIW7zt9XPwa2Mn49qXX4d5bf4FjF8+1B0fL+z/6ypbOckBh2S44tcGJAW5wFAeB51eZ6N5Bsf9cD/W1LMSzZjlBbO+nALWBzX0m7nvMwYXX1GD1RkvkUialtKGDm8b0hIqCPWHTKESRa1HRogi88bq4aI9Shi4FzERbDkFLIvDK0xSJwSLBOA7/JMo6+X3qMqpo00TfU2PVq6gW1zCl6xlcp13afhjnKSeeuFUOPnE8B5oaOQ6a56G7l2JokGBgiCooS7ixpAT3GDrbfFz6hSLOPGUY9VmCSslB2cugXMmgXMmiVLLA0Agr/4GHzcJpv+Fk776pbS07g+/OAQ4AV15xGeYedHLfpLp80aX8I5s3bEatY4DDgMfD7gKgDD7jWLXWwNAwwQHzfNTkRREbAkTeLPHIoTbB6i0WLvuvAn742zw2dZvgljQJyfcUlzyt5t6yI1pYmUpKa7XPpg7iKIyFjA1utelWqMwTxXYuwU+qltMBre6nABxjA5iKJzkR70mPq/q7GAf8tArAvArQqSAXqFVjdaAcH00CuV6ClgGT6jmOWuShtS3AK2tM9PUJ5UgL2JPgBtom+fj654bwyZNGYDMCr2LBC1yUKw5Gy1kMDWdRHDbh1C6Bk5/1b+XhNcud/JyJQHd8Dq6Ogxd0oKG+ZiUqI7ex4rbTn3p+PQgsjAYUFV8oEQZQGiF4aKWNVaeamNwaAL6Y2srjidoca7aYuPTHBdxyv4tSQEOURuWiaPpL2xbGLlQ7dLjCueO4hqroQFSbDVG1z/if5UhS8l3UMRNyjQCcQ7EICru2lBRKj0rFG6Q6f2KFMraM6EqlGrfCo1S3ENBExIuH1WMj2zlRldMwgCq0r1NB04VUZxzwOVoaA3zi5FE4Fse3f1TA2i2miCdXFQ4O+MCc9gBHH1SGazP4wwZkip4fmBgZdbGtz4Wdm40mZ9FtdnbBynJpcMLXlk50xxnT2jA40L/xpPcv/tI+sxvu6GjJoOIzBBXppWLRuatlzZLIoBaw9jULl1yfxy1/dlHiVPzjik1Ca38r6Ios5Kd0oKVEkdSIpQtNAHjMF6BJovCUlVIQiX3Ulcl4FRXtE8rFTIJc1bei26/GnEC3oEB5yVIS6jo17kQtN6EAXVtW94MKZqp5QOWytLYw4cDhPOybLG3xrAw44Fj6/hK+9cUh7DXFDwNJon+AaVObBwiVW8gKCwEyjg+DAoMjdegbbrqjtePQL+3YUdyYLUze/QAHgM6OKXhixZObDj5w0QuL9pmC044o4rC9t8EKSkLhDGewQZV7riCK2sCGbgPfuj6Hm+9zUWLi0QUVvFFUcGJdLLkBBdyotpiocyrK/QOqJfAEQA8gVYJH6K+aAPoxOxPnWuxFEvAS3Mq+4YvrpkLlGM1tz5KTQ3XNQ5PIUYgAo0pMubpdr0OuJkGzxP7hCTHwAMhQjo+cUMIlXxxCZ0uAMA1fOTHxvwQ8vJnU4KKAagkrV5fxu78SjARTMGvOAS+8/OJTmxqb2nYFsrsGcABobm7F5I59rjzmsGk3nf+PFvbpGABlHhAEqM15+OjJI/jBBQPYf4YfFqwQN7nCgEefsfGN6/L4/f0uyhDKR5rdLelN0aR5nO4USW9JTSJakkJJ1AmQSIdS52FayQj1SZQ8TvtEqvE8Hr55yrJqE9fqpkQUJDa9RqbDBICjuH15nGTIKfuxyLwoQCyPUcszS0CroEe6VJf7SPcr8wGbM3z0+BK+c94QDllYgaM4NmFxPL3OxJevqsHv7s5iYITCMBhg+HhxA/Cnp9owwqfeNGvOvlc2N7fuKlx3PUYIADatugdTO6dkL/x/P7v3N3f2H/FaT4CO+iF88+x+nHHCKFyhqHGEVocRH7jxjgy++ZMcdgxSeFwiScjbiHaosSYyJFZNJBbRgiS0mDhE1BckovwaiS0mca1v1eym8PSkRUUqjakKKYmsKLEyqqyLFNPEZ0XxNCIzIklRanWzYWwWRFSMSG8GFpfDU0vhxS0XEZkJtXJ5RC2Lp/RAivZNmA2jpBMele8gJGE+JLEZMYwnku88fhzSsC28xwkGihT/fn0Ov7kzg2EfkH0BKcL+pGecNIpvfH4A7bUUXX15LHtx1vIh9sUTDGwe+ewnT9plrE5YyVRHx5wTcdv9z4wcfNCnKn9+4lZQazO+dWYRHz+uDItDtKIL+faQR/DLP2bw7z/JY8cgFekbY821JOlNk+IhCCwkSh5DVygjaiKtJdHX8moqov4E9HdAL7ap7qecdbrUmIj4kIqk8lmuj3g5UZaJ3JzMy4y7DevhE0q8ijyWyWAsNbUt5uWR04eQyGkkvZsgCfqS+EzE94b/fhSQAh6G9aOpluHyc4ZgGMCv/pjBcCWUVowQDMPAL+9xEHATF3w0QDY7A0tP+UQFpDji1O46uN8wwAHgyANngDG2oucfDzh0qL8388FDXFRKBDBLsKwKCAFe3Wrg9r+6uPyGHHYMUJEBMpadIQmZBDmOmW9VlGAyQycGabXnEonlGOikCtxJbq1RFminpX1/EtsT1Tk172QSyETZRwU0Eq57Eicncw208SQJt6nuf5nRH9IKlXfH3ykAHK0Tk4lIWgLRnCo8jhCe+j8yBjTUcnzn7GG4FnDHgw7WdNMwt9a04RtZ3LysHg1Zgs997P2jxJ23IoqDeQPjDR/ZWF+DfMa++J/+YckPDt9vVml7fw1KZRccBogFPPaShXO/W4uLf1RAb1GAOy2aSBsJqc1pYp14nEM3ByYBrZeX07dHxX0S80fNHIlBqzpQ9ERjJICvATtSPdIRz1P+f1WphPIxlYcnlMzoMMVdr/JuqagyBeAs4vGq9SRpTlSlc1hsX1MmEe8b5V+mhb1y/VqzAGgoMFx2ThHXXjyAxfMrYbImN0EtF4WMCWbMLU2acvQPfO5cbDnjh8SON9741ACQyWbZprWPXFJTN+l7mfzkCqUMtuXjsedtfO3aOtz3eAZlTxBLTkBYCEz4XGjTaUhPUBWJIIG+KJgKujmwyhECRbFMSOMqaa78LJQJoOm9asx79H1xWw8SoWzX1JqqK0CqN0bSGDE4w/UxxdDrpiiSWQKSKRI5qWxCATpSqIdUGkGUWxZnsI4tswSltDiIKVLUhB+PMw7XCnDC4hK+d+4ADt1nBPADcJ9j5rS2Sltb0/fuvnfZJdlMZtxowZ2NN0xR5Giu668w2nyFzSdVeraZl/7kjy695eEaPPuqAzgMAANYAAccHzyujBMOK+PJ5y3c9pCLrn4j5OQROrQHeyo90fl2IpkBsfSu4tQ7eyHet8qSIn49lbqkUhhok2GsEVVY5WJCRVxZUAYSAzEkyfFlimziRAmyiqiDSjtERVYoD9AEP4dcltWxSFySQg/qkhYT5QlCqsPJiLyfQsne2mvgtodcPPmChRMPr+CD7xuFDS7ilSgOnx/guq8M4rd/9XDHihxrb2u6tHFS29XruvsrbxafuyZuxhib1vwSzQ3O/Lse3vrcmRc/YwxXXMBiQFACgjJM38fSY4fx3fOLmDE5QN8gwX0rHVz20wKef9VSYr5lrImZ+BxuN0hsObFJ6JY3iexvybW4E0OxTkR959WAKindqSxWn3Tpk9RlQkhiOTyeaNYTdVkeo1pVZNfo6nNJWlLkZNPjZpSmAkR/160qTAnWEhYUwhMWE/1zsuuGFnSltJGR1Q4oiVMOwyyvsOovoQzUIXhujY3Lf5rH/Ssd9A1QzJji47vnF7H0mFFQD6h4DvzAhmkQDA77eHjd6UHX0Jz9HGP4xc/904ffNDYnFIuys3H2eV9HS/vUgVc3NW6xnfpTNry+nQQwEDAG06/gjOOH8J1zBrFXSxhamXU45u7lY3q7j7+ttbCtL44t0QKtouz5cJtJlIAqqhTzqTL3jRVjMkZcCiEp24kGQEL1+JNou9gW70OifdXYk+R7VYKzQqWSNCntSQQo3wfE8S6Qv8FBhJk29Skm11HdCxw/OPUAuWSsTGopbNGBg1IGwwT+tsbGRdfW4M5lGQz7BmAR7ChSPP2ihaYGhr1nBPA9F0MjBQwOF5CpP551du77RSMz+4H508zg2mv/+01j801xcDnmzDoYTzxrVz543GE3TK43/vXwOfWYXPDRkPXw4WOL+PYXBjC92Qf3OFhAEFQIDI/jpMNKOPWoErImE5VckiMmxqGkRJwZD8W5o/Hw2HIS83JF+UTiBiNWJDVWBCh0IwaRxuWVvyqFic58As9HzRLIdS7LlR2k6U3lDWmx4HGcCtG5u+bFJDpdgapsyniYJAevttjEPFy9YxyEcgz7BHc85OKeRzLwLQOwwkA5bhlY123hmz+uxc0PZDAwQrBlWwb9IzNRHK3918a2992wcFq5Mnv24t0BzTfPweU4ZP+Z2PRaV3D+Z05d+9gTzxa3rL+lsHDWesycMoT6Wh/MI2AsLLUbWgHC1iSfP2UYf37YxZNrlJoaKfw7ctYnkhZU68e4/DplmcbzR+JYkYAYl3MT9TTTEJ3+MQYvV3YXFroI5LHFLjIFktT14ULEmbnCnRUPJeGIzYeagqny9TAEAJyELQINEn+fEqsCoiu0ar+c6P8lwEsbLPzsrmwY2y/L6wHCIM6wYZuJs6/OYWoTxQcOnoyzzjip2LrXfmuHBruDQsPc3QXL3SPB5SjkM+B+6Y4jDl10zvuP+UBfc30HDGLgtW0m/IDCDyx4vgPPd+D7FvyKiY6WAKcePYqcxUW+X9J8QbRHtlp6LcRUWhXSMUANfTl6zCMBVO17SOoE0Aw9CQRXSe6JaDpVfvtYYle55aFYQtR9onXJtLQUV35V0JViWoQiyVFtUeHxFdKBzsP7MewR3P6gi03ddtgIjNoAdQDDBagN0wDaW3yMlG1QYxoWLTqxr3Ovheds7x26wzCzuxOSu0+CA0B9XS0AoFwauDE38wizsmPHlX99ZLjpZ7eN4GsfL2JBpwHPM0Epg2VWAAI4mQDz9/LhmhzDFXG3VGIqhsySlyCTpb10y4de9ySyjadw3mobuU5ZMM6+EWaVWZHmGELKsoZhrm9PW5YGlFBYEzDCo4ppkfWECAsKdK+lbv0IpThSpXiKNE84fSKaUhXzotMUQoCSD7y0zgL3DMCyAMMBqA1KDcD3se/0Ei7+2CBueXQSFu531PZTTjj8ayNl78Yp7e3Y3WO3AlwOx60F592/sJqOps9vHrx8w6Znmp5+ZQDt9RVwMDiWJy4GA2cefB+xDTkZZAXdFDgmPUl8Rip4VX6drFilA1kmFMSSWpfkSPwuAKiSmkxIbENz1RPonkyieDHVEjOhwFQAyHhUjUGjFeIpEOZeigkhJkOUpzkm0BPhAAAY4rq6KtCR4PEEgGkiNA5QEzAc2KaFvAkYNsU+0wqY3uzgorMWbc+0HHrR632lX8yaWv9WQHH3UhR1ENKCn/7i8RsacpO++pnTOvtaCnXY3FWPwWIOpYoNLzBF0UcogTkSMmpoLEmJM+HV4E3l5jwVwFGmDpITRQe9OklU547EchLoVdCeqJKpKpeKdE56N3WlMd6PIaFQIgar9E4yReqyxD6RgqoCHSRSWoEYyPI3NSVUVUrFubBIYBkwqImCCbRmGGY2BujdlsUTqxb2Odbkr9LBZTe8VeAG3kKAA8A/f+YDWDir8qsD920/z3CnFjd32RgedeD7ZljEU1y0sicC56HmXyqJDUhx6iToB7T1KVJeeSiMB2SNqiTXaVI7YvHR/6sDfddG5MchMdg1Xq3x6xigwBgAraIh41hdIoDG1pokT49jzIVLXuPmcdk3zikoJ3AtHkcKkrCjesHhaK3lOGBBR5FZ7ec98FTlV3vNP/WthOBbC3AAeL2Hsa07MjcZ7uTP1k/qLAXMh6yJYpoBikPAzX/JYMBTi9lHKUF62hlUBVEHXNIlTxJSPtp/LO49FmUBNFuzwpwSpkWVh5JokkxkqAqkypHVhAY9gCrtRcZeB12KV7vsoVCM9AkiFUoGvcOb2jKccYogMJC3CD587CjyeR9gDJyHXR38wMfsWZ2l+bPbP7v/3JqbOlvwptzwExlvOcA/9KGPoqMpCLL5vW5pn9zwida2tlLGHoJlerAMH/1FgvWv22DcUjyYJmQOZmT3JmNIU0W5rKIiaWAFGQPE6jJRgBuDOTkZkmPseoTVK1UXeNqytq8G+HGkOFRQK9aRsaQ4dOpSJa2V845T6iTn1tPaGBNFOgMTFCamt/loKFQA34Mf+OgZ8TFl2vRSbUPrJ6ZObrzlxbXF4KRTlr7V8HvrAQ4Ai49civkdq4J1vWf9obm57sy6xrYRxxoGsSv4//dlsb4rIzRtBzCsiCRHyh5UgHEtLS21UhV4KnjTYkw06Y0UXq1KY/VpAHWyxIBPw3cq5gVgklYTuU3l01J6VkncMaS9lLAYQ4pXg1q3jiRT0KJlSV+iP0pupgC3H1ioeDamtRCcdfwwUKmAloew38zmkca25jMvOvPYP9y7YkfwuU+f8XZA762xoqSN9jmfRrm7h8N/4vfcXmg6mdKPn1u1tvaeR7MY9rKA44IYFgghkUFFnX0EOojjpkV8DKk+BtWYgPSOSy2Qqu0S8FAmAqBPDpXG7GxIUBPxR4sFV6Q7kHAGiZLbMi6bgUetBgmEkkfCg6OsetWMqEYcqpaTMekPiSw4qiLMEEaJchihBKdhF5Csy3Dc4hLufKQCZs4cmDur9QsrVj75+89eS3HDtz/1dsHu7QM4ADgtF6Dc/R049S2/Ba2z+vk+V5cqGxpBfDiWBYeGgPJ4GE2b9N5rZkDowEvWGalSNhOWk+idkqoJAOV7qiR89NLBLw+MY+t0GqPiPWnvBmIQSwDLdYRIE2LspQSgeC+V/bgMpeVhnUEG0Rde9XDGJkKigDvyeIZfnqApXHEwxZKHRBORhs2mRJvCwDBASYBZnQ34/CeP6l3+8pR/yWas3y5cyN5WcCev+9s61mzqh2Obn/nl7Y9e8d83PdQ0OjiInBO2ay56BMWAIOAhyFwCuAaHQ8MCPxYVOZhKFKFpyOCpRCfjtHxLEudaSvAnA6jiACwBbrXalfIkoDSmMITqCmk0OQBtfyAxMdMmIxITkyiZS1oEorpOjZgMY0K06EO5v1ryTX039KhCuRx/DltKRs0PRMk2xig830SlYsNnFKZRRi6fRf3kE7dnGk+4EPB+TkjzHsHZ2yrB1TGzox79AyM/P/eMJaTepZfffOufm4aLAxj2TfSOGPD9ADAIAkLhG7qEi0PtFWqAMSR0EhAJ0MSv6pJqSStJ2rrorIgivZMUJcGzNd4t/ygcXsu9VChM2FuHR1RB8m1IeoJY2QRH2NIbSgFOxI4dtftfdXEgsV/UPTlWSuVZE3ARJstgWIBBKfoGHAwMUdTWNKCx49jtTt2xFzGf/9yw6vcUzPYcwAGgvjaLgeLQDR899WC/tZZ+f9my5fVBsA0004U7HzWwbmsOyLgIeIjwKHsnAljSDV/dhiQ0MZJq0KuAhjIpILZRHdTacQAkBVHpixzRHmQnTh9evS1pRWEQCVFi/yipGFCarkmPJ4lMctKmRyiJKUjEyfk4XFv6+ePJoScWyycLh2kEyGVL2NDFcevDDhzkMH1KGzrnHtJfmLToAs7wS9PO70mI7VmAA0BtIY/Ar9x43NEH9nmjPTPmdEz5XoN9s7VPRxnf/XUjNvY1ho1ZICVwAuRIKp8JcKvgpEilBVSYIyUnr64bKB3UwrJDE8CHwt+TQCbYKQ/UQC0VSQAyLCcsXB8+eUTBApEjGa6LLCoMYJTAiJKEZStBhOWOEf5/UmIz0ROKSB7Owv+Ng4fKY2SDDy0pVNi8uUgqdm0Pr/d6uOo3tbh1eR0u+NRBnlvIfrWp/eC1oO5dpr3H4fX2mAl3NgzTZiTovuODp556/bTpc89taDk5OH5xlh00awio+CBEtm6Gwq9jxw8SUpamAE+nJ2QMKqLy5WoLSsSh1e8W71C/Y4JWlNgMKJYVW3dVorAApBYBCNUrqRbxkZNGrGNxShoTPaPkd6mFf8LKVrotPNw3VCCDILR3SzOkY/tYsYrioZcms6WnvC+YO3fOuYsXH3X9S6tfu8O2zbfciTOR8Y4AOAAUGmaDeWsrVrb1xnzd3HmDwcJv5rKdAPdggof1v4WCaahlIsTxydB7Cj17J+bhqoKoTAAKzWoSF8PXlUZAsb4gBne1TjC+H7MqziTN4ZMAudyPV4FbmA0Tjp3IfY94UlR1WZMdOQCF7gDqlWWMIGBEhDwbYc1uRuD7PmZMnYp/OG7GNxfMmTlvVmfLjS+t76ksXrT74rnf7HjHABwA8vX7Il87Y/SeR1avXnBg4xW5pv0vPeLwBUFtxoJNA7gmh23y0GISlykMR4KWUNVKEq1LUotEWYiEBFbLHodPC8WKggS4CdGUTqlsIu1dGZobHtUAVkEeSVuogFX3JxFVkdI3GUwVS2TpYkcE/MhBpJ6f2BYEFJ5voFwxUa5QBCwD3zww2Hvmgkv/8NRBV8xsfWb1PvOmjR65eO89DSNt7JaczN09fvPru7Ej8yl+3Tc+/eCDd//WyVo4eGhHv0l5GSZlCLuGxU4NLYFYJJDIDg1xSbQ4STiuxx3nUtKkhI/qgau1v8U7AGg0p7p+imoViXi4MqnEV2j7yKE6UxKbqr8L+pNM/VKifHm8mogWOUQ7R2mGjLpFCHOhfBp5voFy2YDPLFhOI2pbl5Rr2z95VabuxG90LTuI773POXsaNqljAkxxz41tvUUY8MBAL3/hpXWH/vp3d9CR0dKhqzf2mT4zEfAQZLYJ2AaHZYapf5YBmAbRwF6tgBKNpqi1B5PF7jVwa/xc7VVfbTFJB7q0sEB7125GlcWn2k6u2cMpTzy51GUlCYSqzbhEOxTKYRoMpsFgmRyWFcAyA9gmg2WGNQb9gGBkhKDCW33Ldh+bt/BkVtc447GA4SLLAkyrbk9DZczxjga4On79u9uRca3Ctt7iTx95esNHnnqlm/YNjqLWNZCzORyTwzEBxwIsk8A0QuePoUhnNaZE49tVmfUxFUkDN1WkYlrgVSrQxYckwKPtad9RZe2pBjlNglyWshClI1QHUayMx04fkwKmyWAZDJbF4Fhh8SbHDuDaFdjWKDgK8OleLDDn/g+ntZ8nvFLc78BT9jQkJjTeNQAHgOdeWo/anDvpb6++/qVf3f3Ugq7uHaevfnktmgsG8i6BawGuALhtAqZJELcriRUp3R2frPqqlIVIlIhIa0WiURDoVhHtIhP529UAH+/uaJI7BeSGlORajRSljopYr97tkCaFJR9MIwS4bXLYVgDXCeDaPhyrjJw7hMaWThhW421G/pgXrEznD1kw0lOom7mnoTDh8a4CuBwrX9iA+rpc5yNPvvqDZ5599fSVT72A4eIAarIG8hkDjgXYFoFpEpgCvOAytoXH3kGiSHiqF+ehY4A76r2juOXld8WWkNjbGF3kcQCuKnby2HjS6PRKt/bEBYTUbmxULX4k1svfkaZAQOxncFgmh2MxuHYA16kgY5eQz+fQNHke6ifNui1TP+/L3BvaSJ2J9cV5J413JcABYPPWXtiWNfPZF9buWyyOfOmp515Z8vJLr6BSKiKfNWFbVFCVEMCcA37AEQQ8dnBQpV0gJaJCVVzLW9KXENz6Z82GLoYEKuM6wKMLPQZFiU2AvErBjKxDUaxLXNyoiqrQWHIbMk7HQFSchzHADwj8IFTSKQEsYZly7DARvLEug/bOGWhomrvMsnM/zNXO/Btn3ho707Snb/kbGnve1fQGx9S2RgBYwzlfA+CFwK+0LVk8579efnnVzOeee8Eg8GGbFI5NYRgUQcAxWg5Q8VjkATSUSqhUgDtqBaSaCFVllBKN6wKIQ1ihNGJVEymT/Fo9TiwzrZ4J16Q6IWFoLBWexijWBIg7ELPw+5j89eg34tJuBARlj2C0TOCz0HHmB2E/emqY6Nxrv2BKx8w1ljn6z5Pal2wFsPqN9Bt6J41399krY9v2XgRB0Llu/aZ2x7ZufmjZwzU927tygV9CLmOAEI7NXRX0DoSeUcsk8csgMAwpueNODRrIFdpiGDEfjqJJpT2ZAQETgE3Eesf28moJzjjAAg7GeXyspCpE1k9M6RKhUhdFcpsmYAn6YVsclslACbCtn2JTV3gyrk3QWJfD1KltwwcsOmwQ3Fva2DxlC6HGxny+YU/f0t0y3rUSPDmamxrBGdvY2tK0eXCwON80cAgh/GebNq7zi31rG2rcjYWugQq6NpqocYFClsIyYp5t0Bjg1RI8NhvqtvXYysEY4DOd53OVhPNqs19VBCGAgHEwFj5lAMVqQ2USDYmrXEEEY4nfR/RzBEwpJWEaHFnXQyFbwWu9Pl7cmMN+s1uLC/ef0zdnzizTMsnnWtqmPe5mcgMA2LtdaqvjHeXJfLODUApCCBsdHe6fMmXyvYVCzexrfnrPjNNO+9B/TJoy/8WecuOzhlNbspwsPJ+BcxZbI4QUj1pwq5YS1ZxoiMKfRli0ybbilyncZgGTQA1fPCXRkigTRkpfDg4WcFQ8jorP4PkMvh822A0YD+ufsOpIwOjJEQB+EE40X3wOAg5CAhTyDpomOaUjDnSfPfXk/V780NKP/cdLK2+bkc8VZjdOar13cGionxDyngI38B6iKGONUnEDTMMiTz5zF5Y9V2/U1dRczyqjs7e8tuGI4sB2g/kVGAYHQQDTMLXKsFxIY9lEyjIhzGohuE0qwwY4GAdGyxSDwxzDoywEFgAqJk1cojnm8LJHPUEIzqFRhqFhH6VKIJTA0J5vGBSmIaxCBoVl0ugJEkUdionIWDhx81kLrkNRyDvomNoQdHa0L8/nrdVepf+L9670g0MWnQQ/8PjC+VP39C16S8d7hqKMNdzCNCC2S/jbe3d83nHs+r7evsseeOABe+PGTUF9Xe4A2yKLurt7MFgcCi0wlgkvCHkxlTXjECqgJpWeUw7LCq0QlsUwPErQ1QsMFJlwNBGYoIKr67KECC4vva+GERKO17YFGBkNhC2fIDAJLM5ACAWN+orGWT+Bz6OnkWUBjpNFTU0DXIc8ZZDy002tU42FBy2p1NU1fL1SqfRncnV7+pa8reM9D/DkaGqsA4B+AF8AgJUrlgMgS3zfO763r7h0aHh0joEyeratwevdFfQPl2BQHlpjXBMGpTAlsC0G1+bIOAGa60sYrozg/qezGNhho6kWyDhUpKjFHhs1qZhSwDY5si5HU30F2dwI7nmaojJqobmWgzkctuh/E7rUQ37u+wEoAXIZA4FlYWQQ2G/BHDTUZWE77ipiZG92Hfs+zvmyJUuO3NOXfI+OvzuAJ8dBBx8BAMt6e/uXEeBhL/BnlEf62dOPb2GG2zZ9br7xwu3dW5FxLQzs2A6vvAPE4jAIg2MRWAbg2h4aaovYvnUQG3oskLKFmkwonR2EdMc0QlSHXJlHQVumyZFxGOoKHrLZHTAcA13dDcg7ob078BnKFQ+BR8EZRX3rJLRPboVBfXR2tGN7T88Vvc91rz/w4MW0rbmRmqaxFsC9hZr6PX1p3xHj7x7gcjQ21gPAvXK5q3sbbNuu6+rqemzVKxZsy/Tmzp39FdNgx4WBSD4Gtq1AX/8oDNOEZQ/hyVdrsLXHQUvGw8goYJsMjslguIBrMXg+R3EkgOdz5LIGbIOCBQwEHnzfw/TJBMcdRPCrHhu5nIGMw2E5eZx47CJkXROubcCyjPsDv/x9SgJrxqy5OOTw1mUnnlTZUVs3aU9fwnfk+D+AjzFaW5oBYAeA2wFg27ZuAHiF86DFIJwRVMBGX8COAQ8gHISa2NrjeZ/8wOGXsErxVJN4Xl3BhG0R1NeYqM0DFS/Apq4AFQ+ozZuoL1A4NlCb91CbJ5ZTa985qe6uS1zHtDKuCdvicHJ5HLD/AmRdGyYl1DCNbgDrW1t3va313+N4z1tR3s5x1z3LQQhp2bi5q5axMq/JmbBMoK5goq7AUakE2LCVoVwBagsm6vMUpsVRyPjI5yySq2kdAEf31BmH7el/5T0z/hdnQkFYctWjmAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzoxMDowOCswMDowMFH9UxAAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MTA6MDgrMDA6MDAgoOusAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 43434000
{'hecke_orbit_code': 824667275693, 'n': 1, 'trace_an': 28}
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id: 43434001
{'hecke_orbit_code': 824667275693, 'n': 2, 'trace_an': 0}
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id: 43434002
{'hecke_orbit_code': 824667275693, 'n': 3, 'trace_an': -28}
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id: 43434003
{'hecke_orbit_code': 824667275693, 'n': 4, 'trace_an': 0}
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id: 43434004
{'hecke_orbit_code': 824667275693, 'n': 5, 'trace_an': 4}
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id: 43434005
{'hecke_orbit_code': 824667275693, 'n': 6, 'trace_an': 0}
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id: 43434006
{'hecke_orbit_code': 824667275693, 'n': 7, 'trace_an': 0}
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id: 43434007
{'hecke_orbit_code': 824667275693, 'n': 8, 'trace_an': 0}
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id: 43434008
{'hecke_orbit_code': 824667275693, 'n': 9, 'trace_an': 28}
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id: 43434009
{'hecke_orbit_code': 824667275693, 'n': 10, 'trace_an': 0}
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id: 43434010
{'hecke_orbit_code': 824667275693, 'n': 11, 'trace_an': 4}
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id: 43434011
{'hecke_orbit_code': 824667275693, 'n': 12, 'trace_an': 0}
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id: 43434012
{'hecke_orbit_code': 824667275693, 'n': 13, 'trace_an': 0}
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id: 43434013
{'hecke_orbit_code': 824667275693, 'n': 14, 'trace_an': 48}
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id: 43434014
{'hecke_orbit_code': 824667275693, 'n': 15, 'trace_an': -4}
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id: 43434015
{'hecke_orbit_code': 824667275693, 'n': 16, 'trace_an': -52}
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id: 43434016
{'hecke_orbit_code': 824667275693, 'n': 17, 'trace_an': 0}
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id: 43434017
{'hecke_orbit_code': 824667275693, 'n': 18, 'trace_an': 0}
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id: 43434018
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