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mf_newforms • Show schema
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{'Nk2': 13680, 'analytic_conductor': 27.30883749127789, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [19, 1]], 'atkin_lehner_string': '--++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3420, 1, [1711, 1901, 2737, 3061], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 564, 'field_disc_factorization': [[2, 2], [3, 1], [47, 1]], 'field_poly': [3, -5, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [4, -4, -4, 1]], [11, [-76, -12, 6, 1]], [13, [12, -8, -2, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562003804, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3420.2.a.m', 'level': 3420, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '1140.2.a.g', 'nf_label': '3.3.564.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}+(1-\\beta _{2})q^{7}+(-2-\\beta _{1}+\\beta _{2})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3420.2.a', 'trace_display': [0, 0, -3, 4], 'trace_hash': 2022023563245022294, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.876', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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0, 0, -88, 0, -32, 0, 0, 0, 520, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 47479201
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562003804, 'source_is_minimal': False, 'source_label': '3420.2.a.m.1.1', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562003804, 'target_is_minimal': False, 'target_label': '3420.2.a.m.1.1', 'target_level': 3420, 'twist_class_label': '1140.2.a.g.1.1', 'twist_class_level': 1140, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47479202
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562003804, 'source_is_minimal': False, 'source_label': '3420.2.a.m.1.1', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778548, 'target_is_minimal': True, 'target_label': '1140.2.a.g.1.1', 'target_level': 1140, 'twist_class_label': '1140.2.a.g.1.1', 'twist_class_level': 1140, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47479203
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562003804, 'source_is_minimal': False, 'source_label': '3420.2.a.m.1.1', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010490320, 'target_is_minimal': False, 'target_label': '4560.2.a.br.1.3', 'target_level': 4560, 'twist_class_label': '1140.2.a.g.1.1', 'twist_class_level': 1140, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47479204
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562003804, 'source_is_minimal': False, 'source_label': '3420.2.a.m.1.1', 'source_level': 3420, 'target_conrey_index': 3649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057937668871748, 'target_is_minimal': False, 'target_label': '5700.2.f.q.3649.1', 'target_level': 5700, 'twist_class_label': '1140.2.a.g.1.1', 'twist_class_level': 1140, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47479205
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562003804, 'source_is_minimal': False, 'source_label': '3420.2.a.m.1.1', 'source_level': 3420, 'target_conrey_index': 3649, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 72057937668871748, 'target_is_minimal': False, 'target_label': '5700.2.f.q.3649.6', 'target_level': 5700, 'twist_class_label': '1140.2.a.g.1.1', 'twist_class_level': 1140, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47479206
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 54043195562003804, 'source_is_minimal': False, 'source_label': '3420.2.a.m.1.1', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99079191835711044, 'target_is_minimal': False, 'target_label': '5700.2.a.w.1.3', 'target_level': 5700, 'twist_class_label': '1140.2.a.g.1.1', 'twist_class_level': 1140, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3166350
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 54043195562003804, 'p': 2}
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id: 3166351
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 54043195562003804, 'p': 3}
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id: 3166352
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 54043195562003804, 'p': 5}
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id: 3166353
{'charpoly_factorization': [[[4, -4, -4, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 7}
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id: 3166354
{'charpoly_factorization': [[[-76, -12, 6, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 11}
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id: 3166355
{'charpoly_factorization': [[[12, -8, -2, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 13}
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id: 3166356
{'charpoly_factorization': [[[-72, -44, 2, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 17}
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id: 3166357
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 54043195562003804, 'p': 19}
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id: 3166358
{'charpoly_factorization': [[[-344, -60, 6, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 23}
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id: 3166359
{'charpoly_factorization': [[[36, -24, 0, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 29}
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id: 3166360
{'charpoly_factorization': [[[-208, -72, 0, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 31}
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id: 3166361
{'charpoly_factorization': [[[4, -72, 6, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 37}
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id: 3166362
{'charpoly_factorization': [[[4, 24, 12, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 41}
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id: 3166363
{'charpoly_factorization': [[[-468, -60, 8, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 43}
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id: 3166364
{'charpoly_factorization': [[[72, -60, 6, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 47}
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id: 3166365
{'charpoly_factorization': [[[-1488, -168, 8, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 53}
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id: 3166366
{'charpoly_factorization': [[[864, -144, -4, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 59}
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id: 3166367
{'charpoly_factorization': [[[8, 44, -14, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 61}
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id: 3166368
{'charpoly_factorization': [[[-768, -128, 8, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 67}
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id: 3166369
{'charpoly_factorization': [[[-1312, -64, 16, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 71}
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id: 3166370
{'charpoly_factorization': [[[-328, -52, 10, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 73}
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id: 3166371
{'charpoly_factorization': [[[-384, 0, 16, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 79}
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id: 3166372
{'charpoly_factorization': [[[-24, -20, 2, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 83}
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id: 3166373
{'charpoly_factorization': [[[36, -24, 0, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 89}
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id: 3166374
{'charpoly_factorization': [[[12, 24, 10, 1], 1]], 'hecke_orbit_code': 54043195562003804, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '3420.2.a.m', 'level': 3420, 'portrait': 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zIce/haIKxhw7RhfiphuRvQHQpGscfKQLB5yrDUMRw/p6h5PptnYfuGkE1zIzbOjdk8N2b7JssFmxVX7PCoqyZHjrf58jM+j+2PeepYRKJ6vPVVHd5xi6Wu5th/bJojpzWnziecTcF9cNFyw1UL/My7V9gxP8Xp89OcX6mx1PFY7khWewndfkJ/JDhwdIn9J7tXPLH/3KuPnDh74dFT5z5z0+u+Jbz/sx9+sSHxVd3+XjP48kqHOLZIyS/e99ihW37qv/2VfNcth2/51998Si8sb2a502ap02Cp47PU0Sx1YLmTsNyJWFpNOLsKh5YEG+ZX+bnvXuLllzU4cW6W0+ebnF7UnFuynF2MObmQcL4XMz074pXX9HnF5eDLOoEKOLdc48yi5uyyYDCGODbUfEOzljAzFWOAY2djun3YucmjWR9jrQDh0x8aLtg8ZmlVg3VSZLUP4xgsluVOyLaNHr2hQiiLMGPaNY8LtoxYHQiOndYkRjPXlrRqgsCDOBYMxpKzy5IzS5ZzKzFBMAIv5qYr+9xylWBDu87SSpsT5wJOL8K5xZhzyzGnluHQkuVlVy7y89+9wubpNsfPznJ2qc7Cis9iR7K8mrDSjVjpJiz3DIs9yYkurC53+Y1/M4rf/abal/TsDxldv+pLwtqfslIR1NovNlSe9/b3lsF/7/0f5tW3vJR/83//21/4q4/d9W/e++dfuOSZY90LD54eyFdePeCirQmJ0VirsNaxN1YCEhAIYdHC4ks4vVTnoYOSay5e5vIdIxo18LTE9xS+r2nWJQ1PMuh77Dta43OP+Rw7P6YbR+w7MWbT3DJve+UK11zS42WXdzi6GLM4EDSCEYdPWzrdJldfJFkdJew5qmg1NM8eg0u3WkZhwijx0TpipgV7TwQoneDJGO3BcCx5+eUDhgPJNZckdIcJx0632LVZ0WyErI4tG6cHrPS7/OVd8MSRhKeOjNi5dYlrd3eZmQ15y009vuU1los3t0iiaY6cmuLQSY8TZw0nz0ecPJ9w6Lzg+GrESy5b4Oe+u8em6WlOnJ3l3FKDhVWfpY5kpZPQ6UWs9hNW+pblvuDcQLHSjbnh8kV++JvOy5riwjOnT+7q95Mbm9MX1uuNmc8/+9hf89u/98EXGzLr3v5eMvhf/tVHue3lO9Vf3vHcfzhy/OxPP/3cUXV2OWJhpDgzsFyz8xy//kMLXHdxg3NLMyx1Gix3aix3PJa7mpUerHQSVroxy72YxQ6cWBHo+oibr1rm214Tsmtjk9V+m/PLdRaWfRY7guWOkwgrPUN3aOiOLYNRzFw74oJNBhAEnuXkeQ8hA3ZuVOzaatm6ccC5lTFPHmjx0kstjfoKzxycpdUMCUOPuRnDcARXXDDiA3dNs3tHzHhsmZ+SRMmQVi3g2aMj6l6T6y6LeepwyLkln21zAbu2wAWbQ5SKOLkIvmcRwrJzU8xMS9IbBvQHHt2Bx3JXsbwKSx3DcidhsZNwtgNLo4QLtvX5tlsXuflyTc1rc2axzeJKjcVVzXJXsNIxrPYiVnoJq33LUh/O9hTnVmNevvssv/JDS1y6rcFSZ4rlTo3+aIp6+6LEb2z+hcNnrv35zTOHkltf940vNnTW3P5eAfzA/v3UarX6qdMnL3jyyefedejoqf/03L4TjCLJYAyrQ8cop3sxL7voLP/1h5a59qI651dmWFptsNKtsdz1WOlqVrrQ6RlWezErvZjlruVcR3C6b0H0ecerOrzl5YaLttQIwwYrnRqrfZ9OT7HSF/QGgtHYEsaWJAElLYEH9cAy3bZsnI3Q3ohDZ0KePhhg4iZvujFEe6s8umeKC7fApx+KedXVAec7Q2paEScRszMQRx7ai1laavDK67t8+oEWu7bAIwfGeDR448sNsRjy9KGEIydraOmzaUYz0xTUA4HvC5SA2EAYWUYh9AaW1b6hNzCsDgxLfcswSdi5fcBbXtHhHbeEYFosrU5xfrnu9HZXs9KB1V5Cpx+zmoJ7eQBnuoqFbsLLLjvHr/zQea7cWWdhZZrVXoNOP6A30HR6AhXsIGhs/vfbL9j9V9u3bT8+Go+Gl1522YsNpfz29wbgRw4fZH7DBv/QwYPfe/Dggd959LEnxdJKXw5Ghv4woTey9IawOpScH0rO9CJefsl5fvkHlrj+khqLq9MsrTZZ6Qas9nxWeprVnqDTs3T6Cau9mE7fsNK3nO8JznQMM9MDXv+yHjddHrNzk6Jd9+j2agSeBBRhLDFGYCwMRoAwzLRGHDhlMTbkzkeajAd1Ltnmc/M1AyKzyr2PTXPdpR4HzvbprLR5xTUDPv9owKZZy55jln/29i57jgZsmpV87jHFzVcolgddDp+Y5brLQu59ekg8bnDTlT4X7xgxjPt89lEFieDQSU27odECBkOJsYLEWKIYkAbtGzp9S7MVsWPLmFuuGPD6l8bMNWucW55iabXOStcdm5WuoNOHTi+m04/p9BM6A8vyQHK2J1jsxdy4e4Ff+IEFrt1VY2F1itVeg24/oDvw6A003YGm24fI1Myll11jd1108Y9cfPElf7S4uBBe9vcE5H8vAJ7EkQzHw7c99OU7Lun04l955OFHvXEE4xAGo5jBKKE/MvRHlt5Q0BkKzg8lpzsxN11xnl/8gQVeerHPaneKhZUWnX6N1Z7Pal/T6Sk6A+j1Ld1B7NyBoaEzsCz0BQt9iJIx1146ZPNsQn9gefMrxly42RAnEi0tYQT3PFnj+PkaW2ZinjlUA9Pg8u2K63cbgtqARw8MWFhsctWFTdrTKzzwlMcNl9ZYGqyystJm82bLQ3sU3/naPg/v0Wzf6LHY77CyPMv1Vwx44JmE2fo0V13S53ynw0PPTVPXTV6223LZBSOQfZ48Itg4G3FuIeLeJz1GkUJKSIzlwi0hr39FSK+v2DpjuP5SCMMGy50Gy52A1b5Hd6Do9CXdPnQHzinpDRK6A8PqwLI8lJzqCjrDMTdftsDPf/8KL7vUXRydXp3uIKA38OgNNb2BojeU9EeC/iBhOIq5/qU3RIlRP/4t73jbwWaz/ree55kXG1sveiYzDvsk8eC7z5585NeXz+2bPXlmlVZTosYuULRWYfPfdhagEBYpLVJqHt6/iZ96n+btNy/z7a9dZte2kLNLbQK/Tj3waQQezbqmV5e0hh5TTe0umGHCprFhOLb0RgHLCzVOnrCEseHU2ZggsIDAVxYtBYOhQuARDzQvuVBw8VbLBdsGjJMedzys2Htwhje8NOD6K1b4kzssvmhw4bYBTz2g2DatmG8PqKk6YeRxvgfNmmb7JsETe0Ouv6zOa65b5I8/OcT3WrzuRosXDPjCQyGffrDJc0fqXLS1wYVbEjbMhOyaj7j6wgSlDFpZwNIIAjZMB4SRR2/g88wBz5UoDBX9kaQ/hP7I0h+4794bJvSHlu7QsjqEhYHi3IqlMdXhR9+0wDfdPObai5qcWWzT6dfo5eBW9NN/czgWDMeOAMIY7v3iQ169Ofvr7dlNy6+79cZ/3ekO/niq3XhR8fWiAnw8GpBY8f0nj3z5F4/u+9xsNBrQrAUIIREI3AKjQLhnQoAUrpNGSYuSCb6UPHVgA4/vb3Lg9HnefkufW64cMd1qs9xp0OzWaA99+gPtTs5IMhxpBmPNaGwZhYYwskSRJU7cPYx9rAGpBJ4W1HzBdEsw04LN84btmwbMz3T4zKNw3+Me0kzxhpd6vOTyHvc/FxGO2tz8EkFnOOT8UpObLjPMTw+o64BRrFjoRigjeMllmkZrzGP7arz6+ilecW2Px/YpsFO89Eqf73vrMp9/IuRzDzfZc7zGBRsUm2frzLQaTLWgHoCnLUqCsbDniCBJBFEsCGMYR7jvOE4Yjg2jsWEwMgzGhv4QumNY6EvO92BsRtx+3TJvu6XDP36dIY7bnF1s0u3X6A19+kOP/lDRGyoGI8Fg5MA9GhmG4yT9txNOnj/DibN3zCZx8l++6Rteo/v9wfuazRcP5C8awMPRElLF33f66Bd/8dShL2yMwy71moclgRTapEAXQiGEQEpScINSFq0snjLUPcHioM4H79rOFx7v8qqrV3n37atcvavP3HSDpdUGvWHAYOilwFbuHgrGkSSKBXHslnqbLhdKWrSGmg+NumG2FbFt44CYPgdORfzlvTUOn2gyHdS54UrNTdd0eWh/hzu/3ObGS2tcsGXAB+4SKBHQbkWs9scYC0rAhvaAbs/HxHXe9qrzfPDTDS4+V+MtNw4IoyXufXqOKKnx8is38pYbuly6o8MXHhvw1IkGTx7x2T4rmW0LGoHA99xFKAUIYTEWjLFEcXqxRpZx5C7kUQjDEHojwcpYsNwDoUdct3uVd79+lVddmTDXrrPSbdDp1ekNAvojj/6wWAkGY8lwBIP0whmNEoahcRdSBBbF4nKXD3z4cxvHEb/4jW9+pT17buUPN2+a+YcP8MVVi9KI6Yaw44W/+J7haPwrw4UD877qQy1AhEkKMIFICVwIiRACISRKaqRMUEqky7PBU5ZAW+pasDJSLHVm+NA9TR58ps/N167y7tetct3FHeaSOnEcMBjV6A89hmNNGCmiWBInksQIjBUuCyosgW9o1GICP8T3xpxaGvPJRyQHT/ocOTmDMgEXb/G5YpfipZd3UcECTx9qsW26wVUXweYNKyx321y9TRIby2ceDhgPJNPNmDe+fMTf3htx/GyL3Zd4nFkd8exhjx2bZrh21wL3P9XjgWcF49Dn8l2zXL4j4PLtPQ6dWebgKXh4b4MDh5s0tCDQkmZgqXkgpSMGa93FGidOOoSJoD8WdEeCbgShiTF2xMsu7fLu13d51dUJW2YDRqMpljo1ev2A/shnMNT0R4rBSDk5MpIMx65vdDROnMc/duAehoZRaBmHECWKw6c6/PYH7t5437Nnf2W67cc//Auf+JNt7YP8zL/4l/9wAZ4kIxC1Vx058sgfev3fmG17Z+drukm72WA0Fk5XC4sQpKyNY2spUEqglUofDVoleFrga4PvWQLP0vATpmuC3thjpTvDR+5rc9eTIzbNDHjXrR0u3zFiNOxz1S7Ljs2KceSRJEWaX2CR0uDphGPnLEfOClaHho/f3+DU4gw29JipKbbOaXZu1ly0Da66uIuRi7z3b5ssL09x4+Waqy7u8IUnBSL22DgjaTZiBpGPtBKsRGmfzkhwbllwpW1w60t7fOmxOlvnfW68apZ/+tZF/ujTPR7e16Q/8lhabbFra53dWwa8/LIe3/zqHqeXl/n4/QFLg4BjZzxOnfLxlEBKt+oZa0kMRMaSxIaZuYhrrhwwHkdcvmPMO28ds3FKMdsKiKIaZxZqDIY+g7Fb5YY5sDOtLRiNcSvBOGEUGsZhkjK3TUEOw0gwjAS9yOPIyS5PHPji/OtvmPnNN962KfqzO5b+/H1/9ut8/7v/9T88gP/gz72fTXM18Ud/+d93rS7tu+zCDQf5hps0YeRhrUrzj26ZzbW2dFJBSomSEq0EWqWPWuDpBF8LfM9Q8yz1yNIILVO1hJm6YBBKemGTIyeb/PKfz4KJEXHMS68ZsGtzSByDsQZrXRJHCoFUAu357Dvus+dgjWZN0/Il8w3BhjnJxlnN1g2KnVsSdu9cJRFL/NZH2xw7Ps2Nl3lcfmHCMO7x5acDpusec1OW6VZIo+6kkDGSzkix3LcsdRI6/TqvvGqVR/YM2HtcMd2u8fIrp/mBty3x2x+Dxw426Q8tqz3NueU2m+cbbJwZsXNuxL/91gHtRoenjsC+ExLPsyhlEcIA1v3PQhzDhZsTbr46Jok8ojjA2gaj0OPsos9w7Fa0Uahy+TYMBaOxYBQ61h6HLis7HhvGoWEUmfS97F6AuxsJVkJBPzaY4RgRPTk9X9v+B7/6wxfHt91+w4e+642/ZoNN/+YfDsDf87P/g00b59R3/th73/F7Hz793keeOsrrrp9i1+Yel+/op6C2CGmQMkgDSA+lLEoqlFKp3pZ42mlO31OMPck4NARhwjiy1CPDODKEoaUdwzgyjGMIY8EokoyTgCipsfdgkyf3QmItJr2wlABPgq9czUcrgKu2QLsOU03JTEsxN63ZOAsXbB6zZcMqkV3mtz46xaHDU1x/keKi7ZKLt69w97Mx55ameOkuyUzbUPOHBDLAKkGcSIS1xEnISr/GuSWP6y+v85LLetz/WI1NM4JGrcX1lxl+9B1L/ObHDM+earHaN6z2FAsrmvnpJjPtOjPtKdqNiA3NiJ3XhwRejKdjlEqQwgUTFndRRZHi/IImihVRrAgjxThKH0PJOJKMQ8kolIxD4QLUUDAOLePQHddxmBCGqaaP3PujEEaRYBTBIBL0QsFKJOmPY8x4wEsuWeWffVuXm698vKEC/iQ8Z4zyd340PPdrif//Asj/twP8537tg8y362rfqYV3Hjy28McPPnGmZuU8n35wiFaCn//BLlds76OkQSqDlBalPJQy7lFaPGXxtMLTFi+U+J5wJ8ETjH1FGDmgR5EljBPnisSlewJxYkkSQ2JwetuQgzuTQlqC50GgBbVA0AgkzYZiqiGZmRJsnI3ZuXlAq7nKR78Ucu/Ts6wutrnmAsXOLR6X7hiRiFU+83CDpqfZMKNoNUY8fQieO6y5eodlMFZce2nENRdbzp5JWFjxGY4avOmGHl98asiBU4pmXRL4ba6+yPDz37PEPc8O+dt75lnqWnZuTFjpaKbbiqmmR6vh0axbaoEh8A2BTtDKSS2ZtlZai0tYGUFsJHEiiGNBFEvCWBBFknHknJcwEoSRJQxhHCWEkSEsEcc4Kt8duIcpuLuRpBPBYBwhoz7XX7jCz71niTffaBiO2oSjg7WhCf50bKf/ySjZ9eGTe/842X75P/n6BviWKSOH45VvP3/69O8eOniy1mo1GSaGWGo+8YAiDDXvvK3Ht97eZ6ad0JMGLZNUZzs97GmNF2kCrRh5jmnGniT0BWEk3MmJFFEMYSSdgxAXtl+cGJLEuQuJTZ2S1C3J3BklnezxtSDwJbVA0qwL2g3LdMuwaXbMhpkesV3lQ1+U/NGn59hYq3HNBYILtnhcuNWwc8sKH/2yZXm5xuWbFTNtaDUizh2VnF8J8HfBOBJsmJJMT8OBI5aVruHsYo1LL6zx2pf2+OR9NeZaEPg+Sk5z9cWC97zlPJ48zyfun+G5UzU2dSM2TsdMNRWtuqJRl9QDTeBD4IHWzmGSAqQogRx3YScGkkQQJ6RAhyixhDFEUeJIITKE2WNkUtsxc2VSCzJ2kqQfCbqxpBcZwlHIVNDl2960xLfe2uf1L7V0+k1GYY0o9Bgtn6mN2fgHYzurDY2/wPHM1yfA/+BPPoZJzPccOHT4vx4/cry9ra3phoZOLOjJgLFUfOZhjy8/W+fMyhL/7JsHzLRjxkGN7qCGVj6e9vC0hx8mhJ7GD500CSOXSneMIxwTpawUxxAlkCTOSTDGBVzG2KyHMwW3A7gLXAWedgCpBdCoGVr1mOlWzIbpIfMzq3xpb8if3lln35FpLpzyuHgzbN/ss30T7L6gyyDu8tCeNnXlsWFGMd2C6daYmakY39dp4gqGY5/lbsTqwNLpx5xf8blgc4tXXH6eOx8esO9Um0YQ4SkfIaa4eJviu163yMt2n+dP72zx0DPTLPU1G9sx042YRk1SrykCTxB4Es9zsYpSpPahQ7nF9bAaQw70ODHp6pZai7EhThy44wjC2Bb3NKEzih2pDCJBNxb0YhiNYkw8ZK7e5Ue+ZZn/+zv6NAKfTq/OKAwYhz7j0Gcw8lnpnG6LoPZb2y+43N/35N/80e6XfNPXH8AXFjtIpb7/997/kV/cs//knFKCmmexODvLE4Ku8BhKyepY81//ymPPoRXe9uo+t17XY9N8SK9bZzgO8L2YwPcYh5rAd/ZeBvAokoSxW3ajOPW0E1Lrj5S5JcZSgNslKVPmBq1cwsT3LDXfUK/FtGoxM+0xW+a7nOsM+J2Pe3zmkVmWV5pcskFwwUbBto0+2zcKdm0dof1VPniv5vCJJpdtksy0JFPNBCnHnFqwBFoiBVgrCCPNzo1dHiahO1CsdC3nlutctr3GN9/a4cNf8Dl6LsDTEUJ4GNskiiUv3bXCzu/o8pnHBnzgM7M8erTJthnBfDOhWUuo+YLAE/iei1W0wgXOUuQ1GRZ3kRmLc1oSB/gM5HHiJJ0DO4SJq3UJs+RRLBjG0IslvRiGoSEZjNk+3+M116/wja8e8OYbDFo0WFmtMY5cdnUcZncNQhIOj8+ZZOuv7H7Jt6g4XH2f9qe/fgC+uLxK4Ot/+pFP3PuLDzz87MbEWKQU+NoBXAiLEgJPCvpS0pM1OqHmg3fXuOepHtdf3uU7XjfgLTd2mJsOGI4ChmOfwPMIY48w0nmgFMeKKJHEsSRKBHEsSRJBYkShtY0gVyU2y4i6ZJFKk0W+Zwj8hHoQ06qPmZ/uM4yGfOFpy1/ePcVDz0wz43tcvc2yZVayac5n6wbJ9k0hF21b4amjQz7+xQ1MKc2GKUG7KWg3IjqDhE9/uUbLd+6QsTAca95285hPPehqYjp9w/kVzfaNLd5+S5+H9vbYc8CnGcQoKRzITYNR6LT+d722w2VbzvPBe7o88Nw0x1fqbG4LpmqWhm+oaYPvgVYCJUkTZO57Z+VHJpVqxhQrXJwC3REERIkgSlJgJ4JRLBjEgn6Ci3nCkGZ9wNvfsMy3v67LSy9L2DTjMRw16fZ9wshnHHqEkTtn40gRxq4vVgrL0tlnN548vOkXt1x4mxkNO++v1b/2Y+W+pgDvdDp0u118Lb77C3d98Vc/85kvzA17q9R8hbE2z7Zl2lAL8CUEEnrSY+ApTnYDTj/Y4MGn+3z4mh7vfO2QN948YnbaJxwHjGN3wKJYE6VAjxNFnKQJm6QAuLEpc5uipiyzIZV0dRxaG3wvIfAj6kFIqz4kYcjnH5P8+V3TPHNkChEFXDhj2TJtmZ9WbJj12Twv2boh4oLNXU4s9Pi9v20Sj+ts3y6YbmnaTWg3IoQX0h02mW5ZhBBYC1EsmQ0UsYnpRT69QcJKV3Fqoc6VF7X4wX+0yq/8RcCxhSZaRemFoYnjGqNQsnku4KWXdLnmoj7PHjvFX95d585HpzndqdMMFC0fmp7F1xZPgZYunS9EtbrOANa4iy4xgsRCnAjnnyeCMHFJomEiGCYwjC1xHGOiMXO1IW+6fZV33d7jVVdHTNU9wqjJSidgHPlEsU6BrYiidNWNy4k1GC31WH7svo0r3eBXd1328vj8udP/o1Zv0m5/7YD+NQX4cDik3W5/46OPPv7b99xzdzuJuky3tFv+jEiBXQK4tOjEFTP5ylBPBAPlM4g158c1PvFgk3ufGfDyz/X559/S44oLumycVrQbmjDyCWOPOC5AnmQANxJjJdY6SWDzgDJN9SvrglgdE/gxngrpDiMWuhH/7aM1jpyf4bE901jjM1cXbJy3zE8J5tqKuWmPTXOSzXMx2zYMmJte4TOPGx59bpprtgtmWpJWQ9JuGJr1EOGNCQKNVu7vWwtJIhmONcNRRGwEvaGh17csdz3OLrW5aXefV1y5ygc/V6O+rNAycoC0mjjxCSPX4zk/XeNlF/d52SV9Hn7NaY4tSP70zmnOrzY4uRTgK0nTE/iZDJMpyUCa8kylCo7JYyuIDURGME5gFENoLCQxxBFSjdk6M+Sane583HBFQruuieMmnZ4DdpwC262wOpWNKbgjma+2cSKIE8FgecCJc/fMDUP921ddfd3KaDT8+NcSk18zgB84cIBNmzapD37wry7Zf2B/u9vt0Kx7hJEhit2Sp6QlSgQqtq7WIwGdCDxl8WNLLRE0lGCoBAMdMEw8lsI6dz46xZeeG9IMxvyTN3fYPhdz4dYhN13VQwvXIiaEkysuK+lqpa0tMTcWIS1KOM/cEoOMefaI5JG9mk8+1OLZ4y3CuEFLKzbULbNNy0zDOh+8rZmd0sxNCzbPxmzdMGTLhhXufWbMez+5kS3Tmg1taDcV7aag1YipB2O+tF8xCjVe04HKWkEYS2pacd1lQx58etoVPg0TVrsei6sB5xZn+MG3nOPk4hIPPrEBTwIiwkAOoHEo6Q81M60a0+0mr7hswGuuGfAdty2w94ThUw/VeGhvnf2Hm8RCMx4rBpFC5aUP5cAzzQlYQ2ws1hg8kTDlh9SIeMX1fXZtGbF9PuLdbxxT96U7t2GDTs9PV1KdEo7KvfYoZezyPU5kaga4+ziWdPtdHn3kS+3FhXOXfMPbvkUdPXIouXDXxX9/AL5nz3PMzMz4jz32yPcaG//X5eVlfM+5BiARwqTlrS4dr6VAxTiJkFh0DJ4UeMYSJJaaEjQSwdjAKPEYJh6DpEavl/CrH5zBxhGbNoy48oIRc1Mx73ztkAs2hkSRSPW2hBJzk+pPKQ1CCj5yT52nDjURWnPsdINT5xrU6oqpQDDdtLRrhnYNWnXBVEPRbilmWpq5aZifjtk0N2Lbxi6JXeUjX2wz7De5dLul3VC0GpJW3dCqxXheyGcerDEeSLyNrls0kyjNuuJNLx9y3+OG/ljSHyZ0B5rVnubsUoMrdrV456u6PPZsg2PLLZQ0QJTqZY8oUYwjl5jpjzSdvk+r3qBZH3PF9hE37h5x4nyHo2dW0V7Ck4c1H767gVCucI3J+YPWAAasJQoTdm6Keddrh8y3E3bvtGyagyT2GIct4thjpesRR4oo0Wkc5ACdAdzFRBmoywZA5nIJotR7F0KxvLTE5i07/+sTjz862Lnzwj/av29PeNnuK/5+APzkyZMsLCxcdvr0qd954vFHpFJZ869LG0sh0+ykRUuI0xR8bAQ6djoxSixe4jRgoC21xBIngtBYwkQwNpJxIgmNR2Rgod/m7qcMloS/eciNbMCa9J5l8VKLTGQViRKpFHGkkUbjaUkrgF0bLE3P0AgMjQAagaBZl7TqTg5NtSQzbZibitkwM2brhh4JK/y3v65x/9MbuXgOZhopezckrXpMox7SbAyp1xsEyn1/IVywawxEkcdoKBiOE3pjRX9k6A2Na5lr+pw8N8Urrxzzo996jl//sOb4aoAQBmsjTGKJYo8wkozGroy1NdQ0az6Neo1G0KAWRLTqIS+9NMT3Im64NObdtw/QKk6TQMYRUFmUp5LOGIkQksBTgM9orFla0a5uJ8linvQeyyIGShk6A3cG7CyxFKdBa5FoIn3tXJuHH35Ygvyd8Wj0xdF49MzXApv/ywD/zKc/Tqvh1Q8fOfSO/fsPCC0VFpEWTTlwy7RBQSmXgJHKohJQidOGcQI6cb2PcRbRJ2lUn0X2RhSvjSA0kthKEqOJTECS2l7lW56lFKCFcJlKBbW6paYtNZUQeBBoqPmWeiCo+5JGXdKoaQfwpmC6ZZhtx8xNj9k422frxiXe+0nDB+7cxI5pxXzL0G4qWg1FswGNekKrHnFmyXDoTEDNdxc0ZJV+glGo2bXZsHl+RHfkMxzZlMUlqz1Nq16j1Zjm3bef5/CZs/zBx7ehpcZiSExCbCxRrBmHimHoiqIGNUljpKkHHvUgodNzMYbvJS5h5iVo6RolpEzSc+TurnTFlXA6kAs6Jq2yNC6uSRKJMZLYFPGO09JZgJ89Lz3GIn1f5GDO9LdLNLlznRiBRfDUU0+Jbm/4ju07dh766Ec/NnzHO97+4gI8CLS/tHT+J1eWz/+kTULp+y5CFsaVukrhtK+UlsSktdyJIEnlSWxAJ86vTrLkg7Hpa5u/VzwvKuWclyvyQKmsuYFKUKulQUvSmhbwlMDT1vnGWlALJDVfUg8U9ZqiVZe0GpapZsJ0K2a2PWZ+ZsAFm5Z4aP+YD96zlZlawKaWod0QDtx1SbNmaNZiWo0xD+2DJ/c2uGSDTXVvkTYfjhU37LZcesGQh5+ZZjC2DEcJ/aFOQe7RqNWp16b5tlcv8+T+8zy4ZzNYhTGJK4eNLXFk83qS4VjTGFnqNUXNNwS+R+AnBNqgdYKnXXZYKZMWsbnqTYRFUOi5Ijh3JcQmc6RMZr+WrNgM2MaBtnhNDuzs7gjMATtJrcj80ViMEXR7Q3nq9Jn/EAR1v9ls/gIQvmgAHwwGcjQa/ewn/uaD/3px4azvewpjQRqQxlXnZQcykc5JSZRFpUmFRFm0SZ8b10Br0qs5ybOPOHZOQW7STFyWrLDWUsq8V1bczK3JEjpKphlLRaloy2X/Al9RCxT1QNCoC1p1S7uRMNWMmW6NmZsasnXDCg/uG/Kzf7yJ4yenuWjeMN2Adl3RrCuaNWjWEuq1CN8b0Rm5YjFPufgjuyVGpMGWT7seMYgNg7TOejBK6A0knbqi0QuoBS0u3Bzx89/b4T/+ieTLezZhURhrSBJDnMSEsSGMFKNQMQwk9bGi5ksC3xL4ikAbPM/5/VrZtM4nXVVTmSKErTbopql9m5KITWtZkhTwiSkeHRnJ9FEUAE+fJzlrk6/OLglXEJmLLSzWWE6ePO23W60ff/Ob3+gNh8N/X6/X/87p/L8zwPv9HsbEv/DEY/f/y/NnT9RqvgRhsamfmhgw0l2xSgpilQHZYqQDd5KC22TPjcAYm6eRTe7RgjXWdZGnJaDlOxMAT2V3Glg6ieJqyp0k0mkrmqclge8GANUCN5KhHliaNUOrkdBuREy1QmbbQ7ZuWOXBvQP+4x/Ns+/4LDtnncPSqkuaDenYu25p1BIatYgoCfmzz7WQSuFJixKFTWhstoR7fNcbVvjsoyG9MGCQArw/VPT6ik6gqfkBgddm946Y//R9S/zMHwkeeGYTxkoS49LqUewKzcahYVxz5a5BIKh5gsB3mU1f2zxjq5VxMlEWZck5wIuUJ5CSCC6X4NyWNJDPAJxOHTB5co2U3clX3GQ9YOcAtznAjbUuhEJw+Mix2t133/uvbr/9NtHtdn+q3f67Tc/6OwN8eeEg1ppXnD3xWL0RjLHIFNyWJEmLeiSo/FGQyOzn6RWbWIzK5EfxJbPsWtZ+5YAuXB1FBurswE98rqJ3M60zkRTFVGkduQO4xPOkq9/wBbXAzTxpBAnNugN3uxky3R6yYbrDQ3sH/Oz7Z3n22DzbZwRzzZI0qWmaNVe/Uq/F1IMQzxtzamkGTwmUNKktVwSZSSKJY8WWGUscR3SjWtopYxiOEnojSX2gqPkevlfD01Ncvj3mP/3TBf7dH8KDz20kMdIBPLFEcZIyuWEcGGqhZOSrXIJ5Hng6da6UdLkASSpTcDJSFMewTBrWpplgk7J6Jg9TMsuyxUlSet8UkjMpAduY4nznODDVR2OhNxjw+Xserm/ccsErpJRfEY9fU4CvnPorpqbONx558B6/6XcwLUUYmTQLJoilLb5kIkhkelJV9toxdaLJv2QV2JkMKb6wzeRI9vx5PpsURRGVlCClyMGtpEwbJTJ5AjUPAt9Qr1nqgdPPjXpEuxEy3RwyP9Ph0QMjfuZ9Mzx9bANbpxUbmoapuqBVkzRqikZdUK+5i8Ol+kMe3CPoj3xqivQiS9vwbBFoRrGmWVPcdFWPh55tM4icTBmOEwZDRS9QBL7C9/xUP09zxQ7DL/3AeX7i9+GBPRuJjCQyJm2WLnowx74k8I1jb6+oo9cqu5PKlELGZd1U64E8SwrZDOAp4JPceWHdlddMSJCc2Owk0Ml/J+slXews81vv+7j/pre9tfFf3vvpwY+95y3/+wE+6u0jaF44ff7In/2eJ3uvDnREHLhWqSKhU1qeVHrVpsuWY+ziKjdKrM/aJUCbHNhFUzCp9s5Phkj78GUK7rTISOUAB5VWDHoafA/XCeSnBVZBQj2VF636mKnWkJlWlycOjvmZ983w5NGNbJ7WbGgYpurQrAmadUWjrmjk7J1QC2JajRH3Pumz2qkxM1OkyTPAmFSbRoli45zi9pf0ufcR47poQlMCuaTmSWqextM+WteR0nDFDssv/sB5fuL3LQ/s20hkNFFaAejKXh2TB5HMqwt9LdE6LcKSAqWzY0P++bKLMJMqIqtKo0gITd5N6dGY0mO+8k6wc6myM5l8nWS1MK50tz9MGNrRqw8cOPyH//5fvfOHbn/VsdWXX7Xzfy/Ae6tn6XeXfmLh7Ilv73ZWELKBpw3WZpJAEMtS3XHmfKhS0GiKKz6TH0kuQ8jZuxJITjJ3ivQsI5drb5lV0BW6O6sY1ApXn6Etnucai2u+oeYn1GsxjVpEszam1RgxO9Xhsf1jfvL353ni8CY2TntsbCRMNWwK7pS9a5J64Ni/FsQ0gpDYjOmFAUJJvIzBcw0uUvZK/eLIo+mPXLlAWGMmA/koYeA7Bg986WridbYBreXqCy2/8kPn+LHfNTywdxOR0YwTQZiYlMUFtcgQeBbfc72rOo07tHIlwkrK9PikXfnZY6kwK78wy7HOBLhzEioRUxnceVxli+fl95JSSXNW4hwl7vMsLy1y6NCRb7/7vscPjcbRv/vfyuDnzp2iPrV153MPvfealYUVbFLD4pY6zxqElCRpxrKwlLLAUeTgTko1ydloNJsFk7YIxAqmKLKStrxmZqxdDiqz5Tbt0FFpMKV12hmUFiFl1YM1L0l1c0S9NmamPWCq2ePBPTE/9d55Hj+8iQ1Tmg31hKmapZWCu15zdmIG7nqQUPNj2s2QPUct9zzWxJcST5k0iCs8imz5jhJFbDS3vjTikov6HDpeZ0ODos9xnDAYpSysFVp7ecJMCMtVO+GX3rPIv/t9wxef3cAoqrtkWGxppDXcgYcDuc5WL5P3tkqV5CuckqIEcFECOWv0SgFyWwV4XqFYrLzrrcwFu2fypXiMM82euKB3qqHoLZziwQcevuY//MR7dp44eerYju1f/XaHXzXAFxfOUm+0Lzx68OHfWFjsf2M4GFMLZF6ZhxYIY9OsZeFr5naStZgkkyNizZKW+cM297QnXJI1bknK3JPgFhapMlswzZ6qlLW1xdcGzzMEniHwY2p+TC0IadTGzE4NWOkNuO8Z+KU/38xTB+eZT8E9Xbe06oJmTeReuXNejGNv3wG8HowJk4TRsEZNuYtMitLST6ZZRRpoaqfl9ZhxaBlGogRwg+8n+J7G86SbKiC9HOAIuHaX4Jd+aIVf/YuYB/bOcbrTZtSUTCeWVmyppRMHAs+m3n/mpNicvTOpkgE8/7zphy7jPFeI6UnJVtUC3FVJ6ao5S2CvAL0AdmYHF4B3/66SgvF4yLC/+o1fvP/Lyctees2/OnX69NFtW7d+bQHeXTnGaFC/cWVh7zs6SweYasnUHXBfWUqBMsJZgCVgm7KVpEQuSRyoRW4Nmex5SYqUAZ4d4rIqzE6CG/eQsXfRjV8MB3JlsZ426ZiJJAd34Kfgnu2zsDLkF/+swce/vIHF/gwbpiQbaim4a053N9LAsh5IGoFNGdxp71oQAiF3PeGzEvnMBVTqsRHVFSpJXPNDO9C89voBD+4L6UUBU3nHusEfu1p1XzuAa+UasoV0CRosXL5D8uv/vMunHhzyC+/fxMnFGYbTmmlf0IoNjRiCyI1e9pUbaORlgaYUeRCcPZYD9fKFKUTeK5KfH5iQkGVgl+InUwJ/OY9R5DeqAaqx+SKNVIrHn9rP5s0b3+EHjT/rD4ZHv6YMHoUDtFe/9Ozx+/6FHTzKxtkYpWTOIrmMSBMBqtRokKQZsAzQudbOQZ1JEFvYUJOsXZYl6YHOmCVLN2cugMoArqwrx9VZb6fr7/S9BN+LqfkRgR/Rqg/ResC9Tyb84afbfPL+jYSmzca2YL7mZImzADOfXKV3kTJ3mb0jtB7zpeemGYSaLY3s80wyeBZku1LSmqd4xRVDYuMAPoyE61rPOtfHxgWHOp0Nk9p7Ik2uWwTz04Jvv61PKzjN+z895L7n5jgb1RnUJO3Y0tTWgVyncYiyaVxiU5Bnx1AUteMSJAWLT+4omEuVbEQFTGjzcvdQUXueMXqyTnCamEKSZqfdtR0qPn33M1x0ye5/8fa33PJ4tzc80G7V/9cB/vkHj6IHHyRiZqtv9r9munGC0G8We+JkNlG67CpTSu+asiQp2LsiR0pfxmadNzmwS9ZD2b7KhwOV5hWmyRQps9FuJq35TsGtXC1G4EX4fkTNC2k0Rvj+gD+/U/PL/2MjhxZm8YIam1uC2SChHViaATTTDvt64LKdtTQh5OpXknQlcPJksZvQD318pfClzQNMSl8lu7Cz2o0w9qh7IzZPD1kdtBhGIh235mIFz0tSm0+ldqdyAK8Erq7y8Rtf1eeGKxf4pT8d8YHPbGA5bjIIPJqepK1dDU6gwVfkzRA6S/rkc2hEngXOEkBlUqmKlTLQqazApsLqZW0+cS+ZDeX3yxdLbDSHD3f58Beee83RpXDriTPdA9Y+hxBX/q8BXIqYLxx4x4V+8uB7N4svMT+d0BnovPY6MUVxTlavkAHc2qpEsaaobygujOyAiJIkERPSJAO3LdhElruDUoBL68ZPVJg7SUEe42snSQJ/TOANOXou5g8+1eRjX5zj8LkZ2g2P2RrMBAmtwKap9wzcMgW3zJNCtVR7B767cNrNMR/9kubAsTq1dAJX3i5GgfJ8jIN1OjyKNZfvhLfe0OMP75ij39C009kjQZjGDcqgtUzH1lECuVeiVLcqXDAv+anvHHDNrpP8/idnOXx2iuW4zsDTNJWgkQLdl9ZdOKnLlK9+2XHN7EOcPi8ynXatT54RU1Y6kfvmay3FvIvIlldxSvVFhfmQWBd4jhLB8ljz2DMP86Pfue29r/jO694cRp2vKFVeEOBxEqKkx9K5u7ePOw9crMfnkMxSC8bESrsuGlMFtWvwdY8F8MvFO+TgLy9Fbo+dySAmo21b0YEZsN1jNkrZgdu5Jhl7J3g6dp07OiYIxvh6TC8J+Z0P+bz/U5s5tTSNUXVmpxSzvmXKNzRS5m7k6XuZ1qmk0iT1znNw+y57OY5CDpwM6IcBM0Hq4mRJp8yVyLKwtlSTEmnaTc2u7SEqGNELWwx9QT2yjDOA6yRN1CjnY8usBHi94FWxYWrAD37jgHfcepb3f6rLH3xkjsVhk6GuUdOKhhbUlSWIrWNz6aSKlkV5Q5blXMPkrCNXJh0WoBJLZeAtEVkB8ixpJCqyJbGCyMDYCAaJIJSw5/Ai7//I3osXVma2v/W2m4+Owoia7/F8txdm8PgEVk1vaDe8D+mVL3nCD4jiGN+TSGGQUjtAZ2WVVmKNSa/KEotnxTp2Atgp4AvGFth1P4gt2YE2B3ZFnsi0Sk4lDuA6QasE34uo+SG+F9IZhXzpKcmf39nmI1+cY5S08H2fOV8w7RuavqURWBp+Ae5aIAkCSZBKE5cYSp2JFOC+5zKfR85Y7nu0QRh5BE27JsDMbkU62xFBGCk8T3P7DT0++Pk++042GdbcaIaxZ/Fj8CKDFxqUks63lsKVImfDfSiOZ2IksZE0As2m6SE/9m0DrrhgzAfubPHInikWhk1GysfzNDUtqEsIsgFLmb0qrcsnCEogr9asTBZnlRk9I6hJRyx7XWjvEqht8ToxEFlBaGBoBGFiMTbB0OSPP7bXe/Otr/3QyXOrL1lc6S38nRn83qc3y82Nx27c1frQlJIDrNVomYCK0i4dQ2JUGlxKbIm9K+CekCX5PQN2KlHKDF4p/HE9Oo7J85Syycs9ne62aJU4gKsklyNaR3T6Efc/I/jjO9rc+dgUy50Wsl6jVVdMe5a2b2h4loZvqfukrO2Yux5Iar6i5gtqPmmFnknBbQg8p7+VHrP/JJzq1FxiJdW31cRJUT/j+iDT0gYjCUPNprbg0h1Dnj4eM4g8xumMbz/EgU9lk3WzRA3Iic6cfHlPbcgocfXh77p9yBtfvsIXHu/xJ59p88ieNku9Bh3p0/c1vhL4UhBI1wiupdulToniIlUiLftdh8HX1K9MMnmJ0AxlnS1ISBOC1rF2bCCyDuBRmgyyJgETAYbxsM9v/9mnp375395648uuuuQOXmB40AsCfHnleLBwTv7u08uHm2+/JXTZJmEcuIwmkUkKcJlKkwl5UgJz/txkOrQE8NIBqfBCRZrYSoG+kyUm1dwGJRM3ED9zM2TEQi/m3kc1n76/xcfvm+J8t4mo1fBaHm0NU57r5Kl7pLID6r5I7zItOU11ty8IMvbOAK5jfD+m5odYG3HXYwHHztSZnxV40qQ6VhSNviW2syULNUkUw7HHzk2C268f8LEvh/Qjj2HkZsn4sWPxcWRLq5TK/Wo3R53iuFrh+lKzRgXj/PZ6MOZdtw15/Q1L/M0Xe3zq/gb3PtXifKfBUPgMfY32FDod6eFJiSdsKrUsClGShlX7cB0yr7hgBXOLPABNSowd53dBnP/Mgk1cQYuJwMb5fcfMk81LL7jxd+HEFcDw7wTwZ/Y8zdJKhy8+GPGO2xJ8Y9LgUiNNgjKKxKhUmhQAz5t+jcj3sMxAXjkJ4Hon16kJrASUJWC7LiEnSUQKcK0TfB1Rq0WMxgn7TsHR04q//NwUdzzS5vxKE7wauu3RUJKWZ2lpQ92z1D2oeQ7cNc/NJHRlprJ0F+nPbQpyk4Pc91x72qHThqePBOB56TJvSyl6UUFBOQhz9dKCOHHjnK/eNebK7X32nmowrAkasSCILGNFau2ZlL0zNyWzIAutkvvsqRVpjEqnD3iMQo96fcz3vGnM225a5bOP9vmrzzc4errG3lMNwtWAONCMtEYqN9VXATp9zJg8ly4Uwf+aW+6mFKA2lGQJGWunxwLrJv1mot0mYDJQp8+TBGUjvu+NZ0l6e6e74nv/cadv/3Cqud4HeAGAW3tQROHgX3z+jt+Yj7shD+/xuPHyCB3E+CrBRJIo1AXAbcHiGYMUwC5ZiogU1JQeJ+CdReq55nNJDSdJTLrLQ0IQuEmqcZJwdgk+d7fm0Mk69zxU59RKnUOnmxAEqIamphVNbWlq41wEzw3Or3luXJsDcXaX6V2lACfV3Cm4vYTAc+ztLqyQIwuw52gDT1btwVyiUNSD545C5qSYtK8x9rhy55BLNw545nDMIPZoRYKxBj92MwFVCeBSCoSUFSaHSftN5MFs1kcZJR5jz6ddD/muN4x51TVdTq10uethn8MnAj77WIPTSzWSoYeRmshXCCndSpF25UvSjCfksmU9kFcCTcpZ6sxtSd/NQZ0C2yZAkjawJhAZhI6RMuGGK8c8vM/nQw8cm/6B7xr8qO/F71+Loq8A8Ice/gTY+NttcqR5dkHxw/95lqsuiXnNy8ZcsSti24zhkgvH+FZgIomxmaMiS6CWJSmSArvE4hlbVz+ZLUXsBWvnUkQleEFClFgOnxA8fVjxuYcaPHPE57kjdbrjgHEYgOej2h6BEjQUNLShXvKBA53VaWRls64uPEhlie8rfF+mF4AttLeXuMyi53R+zY+wJuTcsmRsA7SW+NKiSzbbBIHnIE9std8xjD0Emg2zIVKN6EceAy2c0xEVBWNamUoGUopSFJsNO0LkMVHWWpYNRvISlY+fGIx9Ns+EXLAp4qUXjRmGQ/7JkQ7PHPX53IM1nj5S4/DxGlGsIFBYqUBIElnKBuVJinW0SkWcZz5w9mhKjxN340CtMVy8K2TbTMzlF0Xc+rIRV10Ss+eQ5jMP7+Hzd38Az3t+IbLuT37xvX/Lh+9ZVQ8+/qg4eWiWY0swGgqeOmT57IMNpryEC7bHXH15yBtuGPPa60KwMZ5nqTdJdbYEI4gjB/QskKwwePmSt6Rpf9fD6WkLwiCkJQotg5Fj9KMnJX9xZ8AgUjzxXI2DJwIW+z7jxAftg/JQbYUvBXUFDWWpKdw4M5UWHinH2r4nXNKjDG5P4qeyJPAh8EldE5cy97TB9+I0IxpRr4WcX0n43AMtOr2AmSmBliYvGchwsC6zmVJAaCTjsWJ+TvHGm0Z89pEhxztNhp50MkWDF1u8KPOsU49dJs4upDzrROZ/w1hdKZlIEomfKBKtiD039iGKPGelehFNP+JVV8e84ooxb3/NiP0nJE/u8RiGig98rsGRsx4IyWCoSUKVlW9idQbwCcuonL6tABywBpFYhMmkiaHeTPA8g7CG114/5g03jLhqd8TO7TFTnmV+ysmj3ZsTXn7FebR+VGzY/Ar1A0sfiIO57/zqAG6B6fb07+w7FF978kwdtIWaa0RY6FsWjOXIsuGBpw0f+lzChtkYayzXXxbyrteN8l67DVOG664OadbcycSKPAe29pyLfDhPZyB48inNUldSr0ke2uPxt1+sMYoUo0hx5qyPEZrIehjhgdaIQKOlxFeCmrTUUmAHyhIo62rAder56oK5/awvMwe3Sns0Rc7evmfw/axAK8nZ2/cjlAq5+3HFx77cQvna2W0V/f38DJ554UmSOR6K0cjjbTcP+fiXunzgrin6cY1mqsO9TIdHWVLG5t1CQsgcYO5PyZLWL1d3pqMdtGNyTytirdFx4oCuEpRyg/RnajE37465aXeEFWPeeduAUeTGuX3iiwEP7/GpB4LFruLJZ3y6A5mqJMHzivJ85wnXGnjddRHz04lrekgM73rdiOsujbAGNswaZqctOh1sY40iHrvVXwvBznkwonOtDGZ+B/jBr4rBT55ZYdvm6faP/dqHd8dxovB19bOm+zIaaxkbw7mO5dyqGxqz/3iDv73bXYk2sUzNGG68NqRVd3XA66Yny5d66jqs9hWPPO3T7Siklm4mitWOmYTGzQXWIDVSSjwpHJilJZAGXzog+Ap8VczocyAXRcODdo0AWeNxGdyO4dOyWi9j8KR0jwl0hLUhpxZ9wnGNYErip2lvlVblVbKYWUcPULZO8+50owgjj5mWYsd8iC9GDOOAYSyoazckJ6shyRJaSpbLW4vtF93fyJJtpsieGpM2nxTSKI6TNG+g0rnsMVGcoCKXS9AqQcqY7fMmXTEMV1wwIrRDpDZ0OoJHntasDlwl6aQgX2MhpMVYzZrhFddGTM0YbOxW9rpyx859doWJJWEa2026bNZYrIyVb/q7g/kfaFv7lq4Qcy8M8KZ/ikHv3K+Y/sO3dfpLIBsgFRUxlS0zsqyjLLE1dLKfKUN31XLm7mbpK64H8LJ+S0+OEJhsywXSmlOhiiBHytTKykCdpp0l6catmW9cetRpJ70i3XqPHNyurUvhp+D2NXmJqWPwlMW1wU+zo54XEQQRJxYNf/rZJmgfT4oiwMzliVjD4GV/OEuQObC5wTph5PHuNw75m3uHPHeuRT/xaMRuU1pXBWiLThyV5QTKwV5WuphJIVkq8MruJq+F0VrhJW5eipcCXckiaebqxtPnaf5DygQtLMImzDcM3/BKAyLJq0sR2f4Z65zzvMZIgFEkkSabxxJHkoiqSZHFcRWAp05aFC3z9LPP3jaz/eivYKMf/ooMvnffX6Gk9KdqR6l5HsPIdwCfXGMnwW7NxGsLypJ45d9dD98Zu2UArwYvQsq8BU0J8IRLKwfCVQt60r3WkrSmIu0ezwqJNKU5KKQ7sxVd9QXAZS5bAt/mLW2+b0qDc2K8lL19HSFlyLGzgoVuDaE1gaQiT2T5a5VOd1k6VICXOh1h7DHXHrNz85C9Z8cME80ogSAReInFi1MdHpM7S0UKvXyuCpfKWbhZV5UoSSODTgyJkiidbV+u0mK1BKlMulKYwppNQS6yv41J91iyueuVAT1zwNYDeJHcKz8WpkTZoCgAni8DCJUwjiLuf+wUvcf+2l8v37MG4D/0S6tIAQdPTtFNNL7vrclcGUSlkMZh3lYeqxfAC9yEcMtqljgQAkmRInZTqcATFk+koE0lQPY8fy8l+6IUlLzB1lfCgb0Cbuke/QzoWfCZgjvr/tEmlyiedvrU9yNiIj71pTrnFup4Uwq/XMNRdlCYUKTl1HWp8jJL+ozGboLtW27p86WnRnTjGgOtqceGME2nK1kURGUFZ0IYis6hLNDMqjYz6zCdqWIhUe5vaiOIlUAnMt3FztXyxCnQi2SayRNsUppS4s3kA54KcKc2b75XzPOc/1KhHRRALoO6AHlxcYAllgYtJd/z+i5GPQpYfvaFAP6+P7+TmXbtlb/zF1+8wecUc7U0PTvBPBZncbnHqpmffZCvNKklFyRZskCAyh6FRUNutak0ZezmmxQaN5t1qLKBnqk8KQM7n4OicP2I6wE8Czgz3a0zWWJTvV2tJfe9CN8LOdsxPHawDtp3I6ClzdPzOYNTZfGMuQofuNyXKnNPPIo8rr9kzNz0kM5Kg0GsaCjwYvddVOIGKKmoDHAcyPM/JCcqNUXaN5kWyClDYgSeESRKkihDogRxCvJy8VpWDiEzkJdAne9viklBnjJsnokuknaVYoxK/cpaNs/xVM6b2KqtLAiQUqBr227wZ976yrNHv/P+zRe+9XkY3IQMh/YbNjXi6zYGY5BeXsKYlJjAAbjcrpRWiZUY3bBWkYjUPimbSdlVnmXFCnDYnMEnSzh1VhuR1oBnpZ6uuTjrVHGyROXdKwWws+Zbx96p5tbkejuzBB1jF+D28urECEHEJ78Y8KVnWshA40vh5m/nFYRFG11R8TeZzRSVwjTnibvs8HDkcdNVQ976qh5/8MkWYRLQTyS1xDKOSVeuctWfSeWcmbigno/JwWhZtBam4E6URCnjGF3KdLSEKZUil2uAbAHySrY5Y/JskS7JVLGWzMsj94oaljQeMyUGz/39Uo2Tka61r9G4br4++gZjzP3rMvjxE6eYarfe+LG//dx3jvuLzLVcBVeUDsHMR6hZqGansorATKJUVp81I9XKczcycGcAkCVQSIqah/Jog4y53RYk2WtSBidvw6qweNoN46kquN04hQnmTns2/bS9zdNZw0FcukeERPzVXW0SG6Dy7GU5wCz6GjNno7ISMtGuZ6SbDpVkwaZG4PGu1w74s0+NWTURw6TGMBF4MTmLS2mRsciLzpxdOLl+SgprstRUYASJTkc3qBTk2qKMkytuzJ6rYHTZY5mXJhcWZbm6syhjzptScqAXUmUtwKtrewXkJdepWpkq01p66bYYX+1hgvF3XnbVa+9ZXDj92fkNW6sAj6KI0Xh8STgaXByHfZo1jQxdyaQqN4dS7cLJCtyfb9LU5E2IEpOX5EkO9InyzFyLT2jODPTl2R5KiUKLpxV3lWE3KbC1EoWTktuBruPeNSbblLmLAFOX2DvwQh47KDlwuoZVHkpKfGnQk3UaJQE+6aJk97zTqVRTnzkqUexx8daIKy/q8+X9dSLlM4wFNQleYtGxSOVb2oUTpzoc6eRC5U+KEouLkjQqRnlkMyG1MvkMSZVKvwLcWS2QTcsEMiYnXz1ECdyIbGLW+uy93q1SWVrS41VPP83+RopRpFlaGdHqjS5O4vCSJI4/u4bBB/1VMGOSZIynXTGMp1zQmFldJqulmJAnlQ/2Ah87Z+4yk08CvQRuldd8F7ZbIVmE654XBbhdkCnybnGdg1tWAF4e/uO67cmBnWcrc+ZO8LVL7LiuoAhLxIfvarC0VEcE2vnu5YtwsgalIKeKRZg135bruHNv2ri9beZnJd96e4/HDrYZJzUGyqeeOC2elbMqSQrubK0wqSdejoZK2eTsb6bzHstTqdxdoky2Itn8ucy3VU81uMz2O8qkiSyaIyYZfKJppUj3rS20q2DKFtI3Z/E8YZVtGymJY0u3N+L8wjJROMr/+xzge576EIEvOXu6T5wo3CCfVPOm0DVCVOVJJUiAr8Tfmf9fyJOJxzKgyyxeGS9WMLYsM7gSJRbP5IpE6SrAfZ0OAPKyrQPTDKe2eHkq3qTPk8pdK9e589wx+NCdLcbSR0mVZi+rF+JkBnPNspyfQCZ0eKrFE0WcaIJE861vGPHHdwx46nCdSHkMpMRPTOoeCWRiS8fJuvYyUV5PTfq3qvsWlZk8MaBzC9GNtlZpSYBKbDGsM5/LIvILOp7Q4+58lovlKDF5BvIXxkpZl2d145Q+dza1waYlHo265Kk9+7jjy6fS3TBKAD9y7BQXXrC18Qv/9bd2Pb5/2dV9SPcf590o0iV/nc0t1mHvdcBcfi0mn6/V3s8vUUQOnMlxyLLE2FmQmU1t0jrb5DXV3moC3Fn63ssak42bGZK3iGU9nXF6j1BeyIFTml7og9KpPLET5bGTF271gFQHGk144Wk3TpH40TQ9we5tI546EJKYgKHxqSWuZlunGlwJt5GrW20ztjRkQWbB5EUSJWsV0/lgU/deNjBVG9IOIos0xYSAbLpWknX35wZAEVzmgefE+c7QsqZhIsv9rMMClb6BiUZ3IVzuo92IuXpXj5vmNu26/Q3/vPHz//b7BlMzWxzAV5bOEYfdN2ye3/ITy8t7KCWXgZSRSoAub6hasiXzh8mAcpK9s58JXD6nDIQC2EUfoyqxoqoM1cxATlEjrUqgzp+nSR5F6oU7cDsAF0OBvLI8KbO3Svs6/ZDlnuH/99ctloY1ROA5eSJtZVUpBue8sOasTBPI5sTkDO4clTjWtBuaH/nmHl94rM3S2CeUmqGU+GkPZTHyIWXwcj29MHkZrcWk4DZYJFVnRaQMbvMgPQO7kiJlcCeJktxFIZcphQ4v2gkLmZIFnoVVWDk2pVVufYAXxysHeekHWrlgVyUJ7ca2nzhw4OD9STT4m5zBF84+yajns7R0lH4Y42sPTWmpLX0QO/HHX/BWBnT59QS7FRpcFCCXkxKlOpgmB7YUSFWMH1MlUGsp0akk0TnAM81t8qDS0yYHt6ez+osqe3sqwvdD/vIuj2cP1UF6SCkJstLYkrWZ7xGffsnnrSakYPN8ZEJJpsRGpps8eVx98YBvfFWXP76jhtEBQ+kTSJEnfZQURKWAbpLJRZnJbdVjzqWKAmXdqmCsMxey2Y6O1QXFWIliFk0xmdaZEkJW5UnurJSIjQrgv/pbWTVkGJLCnceRGXLgyCHCYxLJmBzge85a2k3Lc2fgzKpg24xb8qAAWelC++qBXXJL3NtZYb5dM1Cm4hnngaUo2DxnyK8EcFkAPE/0ZAC3bk52KkU8VbglXmk4UKG5HXt72k2tWukYPnF3i8VOALXUPRGlYOx5JApZjcgkM61n2+U9rRKTZG6KZqat+Ee3Dfj4l0Ys9QNCpRkmMrUnRereiJw9s1W3rMOtLbp+TM7mhcbVmbOi0ufp2Gsj3ejr7LiXQS7SnfNyKZnKE7c6l/W4mJArogpwYRH2BRCW0fvEKpDpfq0SNs312dJcIfE6CJsC/O5HDrBjy8yFH/jEwz969yNPEqTb/2UgK3bIXZ+J1v0cJffAMnGyS0Cv3sX6EiVLnFSAXZ39Xe5wccPdqYI729kgY25VYu41DJ6NmyhGTmjlMpdHjgr2H6thCBBS5825RfVgOX4QJVej+PLljHDB5KXZMvnweFm0myUarObynSEXbxmxtLeOTXzH4omTKbrk4hTsWS70yuqFZGHn2pTNbeGTG1nMjSzHNsq4i8ZIUu2dnZeCjHJwG5HOUsk0uZiQKmICDzZ/MaF41xJr/u8UgbQU7jMLGbCxcYqZLS/5UW/6LU+EvVcd1cIkDAfjzXVp3xh2ltg451VqOSp6cjIweAGQT+rtycd8VghVkFfliSg5E6IUbBaAdgxOOgq47IOX7+mW1qoM7hLI0/3qvbQ0NGNvlb7WOkKpiE99ucWBxTr4hTzxStZl5YJl7biIyVt1zFmpQbu8u1lWRhtqLpoPectNAx5+rgHGI06cFveSNLubVKVSwZxlSy4FubWVWTX5c5k+l+mqIrO7O/ZJumJIkbK6yVZYmxNTkfApP09ZutTelre9lMH9fGpBuICvPLZCCtJVySJjxWBU5/zCKv6semM7Hm1OEntUZwX6bd+wqWVoBk6jalmaUTcZML2QZCn9LGOuNbp7AtS5lpoI0DJAi3WAnbO5EqUm3BK40/mExbYdrAW2LgYE5SPetElBHjt5oiLqjZAv71P8zd1NhiMfGhotBZ6oSpPJz1/+zusCnAn9PWEZln3xKNZMtTRvv3XEHV8a8NA+H9v0GCYBviC/0FT+9wsdXFnf80ILUfocprjAlGPzRDo9bkqsnQX1Jg0upREl/S1KgW41hip0dwHQTBVkQC+DexLs2Tv5ZZAHr+7CymeNJ5Jw3GB25FM3kiiSaEkESUTNS5hvC+q14oMWH2ySlYu/LETVOSm/n7P1GoBPSpTqRNMiuBQ5aPJ5eaq0e4MSaW1KAe4C5FnZrEXrYoSyTjdh0qoKdC9na3dXygWYvh8ShQl3PNDgueMN8DyEVCmo0rkhpeBSyOpJLa9i+TEqs3aWNCtPB7PZGDyZe+JJoglDzRUXxLzplj5PHq0zjn0S6TE0Cj9h4rNkSzgTDO4e7cRnQWUXm8EogcrsOCmwypX+Z3o8X1ElSFOaZWiKVUNOAnwyLmEC+M+T6VxXNQj3HYQAkbi/HUnJOLIYU2djX9EcGcZji/7Upz6N1pqVlQ4bZz3Ia0vWJeY1L8TzfBiRorp8YtdobtYDdcbY5QCz2IGgkCYlqzBn7AzgxeTUXKKkzO0Y2+ZMrfPH4rmXBpdaRQR+yDPHBJ/9UoPB0IemhxRZ5SAle3CdLGbpe5aPVlaLkvms1UHyEwmfUgFWGHm0WiFvunnMx+8d8eThALTPyEj8VIsr4zbYLUsDkZDLA5KJDKIqnBydZq6dRHFsnq0qWZBvrAO7NEWiTZiym5Kec1Mw+2SOYw3AJ0BfwdV6WMuwVUkxupUnjiVPPPEUz+05gjUJejjoOJGeRLQbutiUM41E1ptZsi7oJwGesXb+wUXlCl6XxWUJ7GXNnYPc6e1yNlOpNNuaVhS6dq70uS7PB58Ad3r3sim0aYG/VrG76wjPi4htwifvr3PfM3WoaZCuodkrlfBWSmPL9/KLdW6Vmdpk5azkzciJFfmkggzo45HHa64e8JZXDnj2WI049rBCMRQaLyH/TCIpWLz4COszeXmIvVIZczs2d68F0ohch+d+f8bo2WqbMng+tHMC3JWAswJyS3kHDLEeqNeFYJEAMukGs2EkWR0MkDLCYtHtVtrXOLJEkSKM3CZA+b6FL2TdrAtwsYaxi+fuhSwDvNTWVd5ZoALsilQpp+lLdzUBblW662IT1AzQXgnUmXPiHBP3qFSE70U8cVTyobtagA/SQwiVdxGpdCPVcta17AgVgk5MACwjjwkdbkoa3Aq3I4ZKRz/k+8RrrNW867VDPvfAiEcOuUkCkVEMEpEWfKWgSzLglOpASpznAGIdi5eAnv1UpaA3Mt3PJwuKM+0tUzYX7jE/h6Y0sFOWLv5KAqyQJMXxeqFAc52alRJJuF3r3C51iRVZbgvdCFyqW1hBX0ssriLM7XlYFOZPZpWeL+AsmFuUrtD0PUpTVid0dyFVRJosKKynDOD5nLwyyNPWtGKzKbezQzEAvwB3hbVLj1ljbSZVlIrxvJgoibnnoTpPH6yD54F0waUvbGlybDmwEmsCq/XWu8Kmy4AuSq4GVS2etrIZlToqiWYcelx18YjX3OhYfJg4Fh8Ln5EBnYgi8Esyu9ABqpAo7gOU64nK1qWSYJVFWoGyuOynFQgrsAKkFYVUKQWVBXun59WUL/zSXPd18iA5bMVafK3hcltqtElracJYEEYQJgZIAItO0hKFJHH/Qbb8g7sqy4HQuqydcdQa/Z1ZQiKXKoU0yZaqqmNS3SNmov5EkO+9k+9enDXfVhoeiq1LlJoAd2kofu6eqASlSwBPJYqvIw6cEfzJHS3GkQcNL5Un5K1pqrxLcH7hFitZRa9M3mwV6GWZUt4cwNj1tLimGUi++00DPnlfk32n3MWXGMUgUa7KMEmTP5nrkIjCrSitJDYDegng7ry7C06mGl0ai5XuHFkpHMBNKVbKmNyUY6l1VrYSoMsefZkECww9/7HLLsR8gGcq7cA1uAjh7EN986u+YdOhQ4d++thjD7vS2PQfV6nhX6nLXRfc1Q9WPsGVZanE7FVJUmZvSiAv2HqyyEqWaj9Uzt4lYMssuKyCO5vtV+jt9Lk0hfZOg8vQxnz0riZPHKi7dh+hUcJlLnVag11uLi7LFESVlZ73VtHghVWYTwYzxgG7AnKJMZpw5HH9pUO++bV9fvPPfYZGg9FEQjI0LkaQJiWTpJCFTDgrmYOSFxZZm7K3W1WUBZt639YW4M/ALW1KRra6imWSpQrwtW6KmAT1OoHnenUhRe9maU8fsukJMS992XU/veuii9+jT548Od3tdt88GI6pBW6QuEy/jEiRnY9be0GAV5m86n0Wz4sEQNk9mahBKQOnUgduK9o7B3pJkqiS9lb5Tg+ljaiUnZAkWaVgkoPb0xH7T0s++IUGbv6KY++8cz/7+4LKeGFZ+t7lQFOUX5RIoxLg5XvTlHagyzYKyIBtJSZRJCrV4onm224f8LF7Guw56YEMsUIySjw0ab1IdqyT9OwlZffBVv1wa9NeSDcbK/tsMgWStCCtky0ZiKV1f8Oa1B83aYBaWZ2rYF9XmlQMiLW4WpfEJ+p5LCkxJxHDQe/NZ06dnNZSxCiZoJWoMK8V7r984SaGEtBLmrv4wJnOKkfTE7KkrGNl9XmFxYUtBZel5zlj25zF1QS43URWkz46O1Apg8r8bhWjZIxKGTxRMX97f5M9BwrtLYV03nfeQfM8DMXk67WnyFaeVxuQK554aSKVNsLVpsgihR9GmisuGfO2V/Y59MGAMFEgNInQDIVAJ6l9RxboZo6KKH0KW4TAJUJTNisVddIkZ/PsLmyR4hdgpAO+yWRKyQcvg70M5DVgL4Na8BWRN1llmB3oKIZOL0aoED0K3c641jrDvvj6lmKG4AsBO3suqC4vZTto8guuTQSs39xQZe3sdcbaGdgz5s6BrspMXuhulQWRsiRNZDE0X6kEz4s4fEbx3z/aZiQ9sglaRdd8uoKUa6DLkmSNkfs8JydLsORpckdBlZnqpqzBRaU+JTGaOPEIkpgffkefv76nwaHTGlSUShWPoRCoTJ6kejwPNidAnnnzFtDZBZe+J20qUbApa2eeuKmwuU3/jpECYYvVY62ZkAK/BOQy2CfB/UJSb9IAybBTD6BZd0V3qY8s0y+R/qP2q7iEyuCmeoUykcjJn6dVbusxYBnYYoK1s0RKFdymkCiyyuC64m9nOrusv0t36Vjc0yHd0PAHH29z6nwASqfWoEzlia343vnz8nevsFQ10fV8J6hg76zxoNyjmWlMmd/zZgipSGLNtg1jfuAbe/zSn/h0Ijf1yFrJ2ChnGybZ57CQCArbsAB58f/uJyq9CtP5TcWjLBwfKW3B4LZ07lL9bXMGf56As7TamwzIZQx9FQAvEwak0xzyHlOcDx6HmkZdIaV0fYKTrsmEN1jWSEUwWVx5GZOVl54M3JNgmGTuDNgFa9tSsGnzwDJrfFWqCDK1tChtUkY3uTRxcsSUpErG2HH+qFWEDiI+8smA9364zdh4Tp4IlcuTvKl4whKr6O5cklVO0QuelKpVWAZ9lrK3GGOKTb7y5I/bCrymY37wnX32H/N5/986LQ6KREhGxvVuyoScwYsCrOxk2dJyX9iVDtSFZLE2ZXNRBHeOdFypq60kfpyMyevSUzyYMslVMCOq+Clh5/ky5xWSSA+asTAeG1Z7BuVZdLthiceOzsM4/bKp1/m8p2adQGDS967aQOtH02sLc+yERLGlIDPdoru8ZaAqip2UMiWpkoG5xOSyqA7MdXf+6GYNLq/AX3+hwco4A7cDuCed9taiKk8qq05mlz0vEVRPRrVctjg5VXlCsfWimagTlxJlFMZo4kQz5Se843UDPnZ/g6WeAhmBUUQ4PT5ZXSgmT+jzMLnLAxVJoaw+JQs2bcriOaBT7Bi79pzLrFTWutXEyPIAfbsuliqy9wVQXiR8LIORoTcw+IFBa2+MVGE+gdRdSTYfJ7ceEU16ldmjLF1xAta0o60bkJXbnnLAlEZESFvR3sV+mGuDymw4TQHupBJgZkFmts+NLrG314j55N01Hnq6jilpb9fUkMmTar1J3ppVYu+KRVj62fPnnMvblxcSZbIZorzZbmIlyha+eJx4aBPziqtD3vryAX/6KR9UCEJihWBsNEoItwVJFmiKAtSTcoWSD57lRGxmH2bJP1kqFJNuxkuFudN+SVvCgMlILGNrm/2sSOGvx9wFpqq4W+f6TNWAxRKTEKH3HbUsLxvOLye0m1llWHHZVBI4ZfCWmVxMnOAJUOcRc3YRSFtIlQnGFmKCvUUV2IWLkr5WFp2OGJMydUykTXV1SZJkjoksSRTp3JPAizh0XPInn2xxtue7/a6lG/SuBMWODRPxwhrdXdLcL8Q2FTbPAFVioTVbLWaTnCpd927/HPfotj/Z1Ez4nrf2uf/pgEPnJIgIUBgkIyFLm0g5UGXIEOUTWhoJkv9/ns1Mz0OZzYVIR4uQ15CXY6l87Ag298hNeSXJY7Tsc5SeIybAnr5vReX4FmTsgsqNs4pLdwjm5gVa4iPR+ZeqBorFOZpka7EOuCflSAZoBKUlsqq7s6UrP/B5fXWJuVUG+AmQ5zOyJ58nufbOEzrZOGCV2qKpLej7EePE8Ht/2ea+x+qut01qp72ldF07opi/kn/WbGWZOGaTTF7GeRnrazOYhWtR7PFeLp8tl9G6djOTOSqJIZYaFWte89KQ97yry8/+ns84lq4R1Uji1FWRRpQ+m01BVAq4rGtJo/T53GtRig3S7vo0CeQCTJFfAHnQmV/0dsJpWRtQlvFTaHNbieUycBWNEu4DFd1mWcO1JDE+SRKgm3VJOFLUa24fdDn5AXh+wFfAPhEglD/kZPF7wYLlwT7rsHdp/3m5njyRNu/2dttmm5JEKY39zXR3OuM6Dy5ljOfH3PWIx8fuazAOPajrXHvn7J0Htmszl5P2V+UYUT74a+m7XNhUZObK4AarsirDaq14YiTSOKmSAT2ONfVGzDteM+TO+4Z87hHlbEMkCEkkNMNsFU0/ZVHJl7K1zDwWW/pspBZhBur0c0pQ6ffLXttUmmRAz86vFSJl7lKwK9fHks2Ic4JEJ7OcBcunsssKYtz4jN5Q4A8EeqoFSSRo1SXlPUUnAfu8WafnBbldB9BrWVyU9XbZW5YlxyLTv/l+6mmqPE/uZEAugK3VBNBVAW6dgtv3Ilb7lk/e32DfmZqTJsKVxIpMewtKE6TsGnDn3y0/LqIE9BfQJxm4LXmKvFI+W5YqE4mfyXpxKRXSJEijicaayzZHvPVVfR7a49MJ0/SrcXo8RJHtAyFJvfFKGW2x5lhccie/IKVzW1Ta0laweSZV0oSPSGvIc6ALyiMkcha3BcPnAH5B3JWC0SxerEgsizAwDhO6fUdeupZusuR71drgSeZezx1Zo7+ZAG/lv3MHImP3rEipwt4iCyoLYBfgznzwIriU+WB2W2HsSkCZJXLKLop0nfKGhP/xqTrv/WgLK7TzvSvsTaG95Tqfe2K1y5dNqhrx+di7UsnHBKhzJl/bypZvumsMJpEY6XxxJQ1R4iGV4QffPuDgaY/3fkwTxQXIDYKxkCiTDZJIz3a5tS0HdaorcItADn+RpvQzNifNbAr3b9p0dbY50LPMb5YlL2lvUQS9WWxQ4Mp9rjXYS7W/sCXnJbX9jLVEkWEcGsahRS+sWDodSxS7iU/l8u/KPwqVJSWXH88H/smfTzJ4OagsvZd53BmzFzPxUu97wjGRGbjVhDyZ2LNepXvPOA0e4fkRB89KPnZPk37fg7pay955zXdpdRFFgqdMApPPKwHSV2TwEuihpMVFxT2xadNBDnSZAV1ipNPiUmqiKKHVjHn7rQPu+GKdg2fSpIIbUE0iBMNUrQoBwqTgtgXYbQ7q1C0hTf7kC07mpGSpe8feKgVrIU+qQM+ALSdW+bUYE5WfV6RIminNVwRb6HKLRStBu6mYmVLo2ekAjI+nJ0peqQKT5wHtWlZfH/Qy01xikgFtRZ6IfPZd4Z7k4M6YW5QHs2fOialstyFLskTK1DFJmVzrmHFkuPPBJl94PK0WlJ4D+AR7Z0VeSggqwTDlIGqCyUvL6ldzKycqmJApxqTZw3wmttuKxOluU8gUI0mERCUSIxTRWPO660Je94ohJz7tMTZOh6eVUMRoRgJXcUgR0GUGdpb6UTkaMkclrRUX5MC3QhRkb905tSINPCtALzKqJk/2FLNyhMCV9U4y+YTjQlJWCkWQnK0wcWLdprdGo3fu3LYqGd3Rbnrf1B+6ORmVREwJlF81W7P2v6nq7wzMlJavDPQlxs6BnQG92GWg6pxU9bfK0+9J6XmMlK5TR/ox9z7i88t/NEVideGcSIUQ0u0DJIq0fJXBy47P+uy9Xu7geZENJQelmrIvyxVDNvUqLcYShaOSa3LpvHFhNHFs8P2En/zeLvtOau59WGJ8kULWfYHIKIaUBZUtyZJ1NHnuhaerbfZ504Ay0+EivQBMLllFXqeSH6fMJ59ogqhMwCpdEGuNj/SikqUhUsKNnkN4eH7jjk2btq2qXTu39c+eXTg0injPOEzy5aNce13pw8u0qIJKGl2Ufp4FY2ptwZRzPop5erkbkteUlC3AUiKnFFDmBVXPA+6yVNGVhI7rtTy5LPjlP5ni/sebblMe6drRkB5aCuoSAkm6yVW1uXjtPW2AzofkVIcRqbTdS6qJhumSri9ei9JFb9ce14wMSnMAxaTUK//MwvxcTKAtDz3lszos1RakYWY2RbyoOHToEhXgfzVXa+lCmJBf5brFcnFU9ruTVmlZJ1fs04m2sopXLooZOVPtgH5v+XsOHtq7T584F6VfJSHwLI2aKIqIUk86Z+F8FNc6zF15f1J7F6O8yomGqj1Y3hajKk3kOpo722Fg3bsqB5ZpKWz6PPET/uTjU/zN3U1sTYFQDp1CI6Ss9FsW/Y0v0DFfYp+cXtae8zUe+HqlPrb0g3KgWZ1fmAaZ6fxAmzK3taaoURESaRSJ0MhhwjtuG/LcYY9feZ8mDOISFQqs8RiTNp5k+fXEmdgWW4AydS8saXYz7TBIDSAXbGaMnMoWZw+WFoT03FpKAWaGkaQkR9KLc13XLsMQrqhKSrcayNRV8X3B5jlFs6FIEjdeulid0rBeitIIhpI/XSRwJuVIdQmRa7R6efJo9YNmAC4DvgL2jOFFCvCS9q4wuExKTkoZ3AmyVHvyuYcD/ujTTUZJOgVfZNZgmrUUtqK9103Nl4G+5oKvPn4l9rNpcJd5z2symtg1JbRWljKbsuSsCOUKs2RanCUNidEEnuF739LngSd9Pve4swszbxwpMFYzNq4dLS8imbQOU6TmUkoIFJk0KYE8a3ooae7sd0Qp0VMOOEUOesgG5VcIxGYxQslBSc8N1r1n0n9Dimotjw58mesrLcsDKwvpkGtkyhf/C7D5JPBLzL3GOckAXrYHy+AWxc5eao0ON1UPfJK9ZVIEmDpiMIZf+MMpDp8KsLrYLbmivTOJVAH2BKBZB8w5hEUVzy8gyCc3EKhmNMvFV2U9vrY2xci04lCWWVwhEoMQGhkaLtoW8e+/r8MDPx7QG2WCVeafK0EzyjIsWcrRFCC3EjApqC25w6LSgNJK0q6kFMRpTUqR5KmufkVGs5hSVSGGSYyVdXbqd2cDQDPzR0rj9uwZu98xxqK3bd2AlIrRsM+wt5juE2nyOSPVmXvVbSjkxBVHGdQU8qN6xVbnSBe7EqwnUUzJBy9tY5eyec7cFdektDtv6nlrHREn8NsfafH43przvGXG3IVz4omqLFGiytqiDPaJi5vsWIhi6OZ6fL2GySeck6IBgqKYybpipjXVhsIxeB50GulAnkiMSO9JKlWM4frLI37kWzr8xl9OEyYpi0MeFSYoxibT4mmuvQTyXKKUXAsrnKS1ZTaXIEzB3Jm0zbOcgkqWM8dW7lKuLbwqzxfPAG9MmmSy5PrcWotQDWqNNkmSoN/8pjdRrzc4dPA5Hrz/M9QDL58IlYGxmugp1QHkf2zij0+w9LoyZQLQBeDthEyp7s9YsHdS6PJyUqdyTwPLWsLnHwx4/0dadIae8wBTzxuhEEKkzkmRtSyX8pZ1eGF1rjODsBKWify1mAT0BGuvwXsF6JZyAqhg7XQqbCZJykkg4WzERCqkNa5eJVa0a4bvf+eAR58NuPPLChpxytTpJ5SC2EhGZDFFAXKLK40lty2d553Gqq6sN5MwpmDpTL7kwfDzAL26ItoCc2nAWcZbTqS4CykRbqKXMZbxOOSKK6/lJddcTa/fRweBJvA96oGkWTc0aknO3OUraM3pmNCZk9P8JwPOIplT0tvCVn3wEqgr29WJYodd99mSqt8tnRUo833VXWApZYzUMXuPav77h9ocXPKd/kr9bvcoC/YuOUIVkK8nTyrSZGJa01o1UlUpa9yFMosXiZW8EYL10vgTQ4KyQixr8k1lRSZVhEVIjYwsF8/G/PC39jh6VnPglMDqssASuL1RHciZAHkmglWOtNTvhpTFRR5oZsSYs3hJuqwH9CpBUtpT1a5/PPPfST3yGLRMMCbBGIHUHkJptKctSlvqNcPsVITvFd9rclfZ5ztf+YWwLsjLwC6BuuJ/VzcxUqkMKZi8pLuVSV9PJnMKoCuVIGWMH8Sc7Qh+4X1tPnZXA+upIh2fSpP12FuVLsC1zknpoi+tbpSOA2IC5BM0XjmmE2DP3ltbk1LW4RmgywFo1vnjGFyK7HkafCaGGIMnnavSGUt+4tcV51YFBGW6FVh0zuSFPEkvtOwxZW0lwZpMvlD44aIotsqDTOncEltqcMmDxmIRWUMUk9i25eNUIgMhIAwNozDdvDgB7XsC3w/ONmrms9u3Nt44GnYxRufd3PmemLa8vZuo/KnihFcBnkmRQqKsD/Ic3JMBZZnNRQruLLgUGVu7TKVMXRP33NWahBj+9ktNPv9wI601ySxBmTJ4xt7FrsHleYNljbimLLakxSn9bPJsCDF5VtaeqapzUvZ9HXiyKr1ypaFM3ZR8Wz3hht0498S9J6XEWJW+JxHWVRwG2vKGl4942y0D/uwO6Tq5dOnDS7B4xFYwSjuDrSjLlLImdyObbcrsxXXiCrJkqSpRpro8exSkoLdFLbi1VQIR6xy37Bi5ftWshxXCyDA9Pcs4Fp8N/OCsZYD65f/yW/yz77121dNm1VfDf5yEp9E62/SzWKYRhbRY43FPdMALUTQCF1ZgqRIwqxAs1ZWsfV22Am0F3GXmLnfE6xTcWsck0vDx++r8P78/xZGzQdrEUCR0kBohBYGEmnSD7HU6Bi6bLb52uFBmH04mw9LcgZTk26qI6pB+N6lLTiTEKObATCTSyplkOXHcK768dDXQeY5iTWmyrawqQgDGMttOuOKSmBPnFQeOa5fwya/G4mrNHJBi/MXk70xeyZMXefrvrF201jR8TF705MF2WZY5UGd7esYJhDGMI8FyL+aSSy5iamb63zz4+MEHv+2bXuP26GnUVpHKh8YqUXPAONKMQ0UYK2LhOpRFkrG5+1hlP8B9t/UDypzNyxJlvcBSTOyBnskUVbgmsiRFMnDLUkCZWYKel3BkUfL+jzbZdyiAlsoliUvsOO2dSZO8z5ISaDIAwVp5Ugo281MuqgFl1QMvjlH2G+slexxrm4mET+GiyPxkV9P3UoAxbtfhzBsXObPLFIsGIxTCOm88Glsuvzjie9/R4+GnfY4ulJaqPOh0MiRGMBIuuCQd4WZNuQ6l0OV5jUpV9Th/WrqfCbuOZeg4lKwrP9Pf5QumDPYC4MIBPBYsDgVnuhFbVocMRyGQbkLVnr8KqRsoOSbs7UPKMeAXFW04jZdpw+yPlTVSVYOvtQTLwaSQJYlSsgjLNqDIg0tD4aZkhVMlWZK/l7K3SljuCX7zz9rc83itqBLMMpYpuJUk3aG4PAa5kFhKlFlwIgB6HuBPWuBf7a3cXV+pKqywVyZZHKBymSJK4C9lOqWwrsHAuGNthEobDpS7jIQhGRhuu27MP393l//0h9OsDEtC2KZAl2CNJpYid1AykGMckMkAn5JF9hlLe17lc8WtcDNxshkrk8cwlyilTGaV1YvtxzP2HkWCbijoW5/dl27nDbfsZrU74rdIjVBV24Hwb7pTJGd+ud0SNGsDfC/OM4aVOu3sBFf6JCetvfLdlGpJMgaekCaZBFFlt2SiK2dNdWD2PK4kdEbS8nsfbfK+j7ToRZ4rpMqYO3VNhHBjhjPnpFJUlQE3Y/OJIrOcqdcFc3XO9VeD9Mnu+hzI2c/KbkvJLixvfVIZ+TYxMMhYmbe3ZQM8jS324GxpeM87e/zgO3rUTQwmAZs9RmBisDHWWGILYwNjI4jSe2wFkcHNMreCONsO3LoYLnud1bUnOfu67eJN+W6qj9l/V3WOins2dHOYwPLIIJRm//GlX37jq66/88qLNxcMLtRu/vNv/MggMerIpimPV1+5iq8b9LIogrIlaNcsw2UpUgko80KgtcGl054mZ/FMphTMbXNJkgeYosTgqsrcUsbgGZ474PMXdzboRhp8BWTAznxviSCVJvm9uHizNrl1M5VlHUvB2mtS86X/5qtBep6utwVL5V32FCdW5iPeslXVFsA2AiEl0haeuLMvJUYY59sblTK7sw6lscSRoVWL+Y439Pnsl32e2O80Nylju0eRsrRyTA75z+wEmyvhAlGVJ3oKNre28L5l/rPySl8xLHNHtXz0yiM3MkIZRYJmo8e7bou4bvf4yO/+wY8Mfvg9/70AOMA11/wAjXqdT3z2XhbP3cMbXx4QxYokGwBJqolKDFVN10+6JWnASSFBigApe6/Q3aLsmkwAPNffopSlnEjFay/hqcMeP/JLMzx9IMB6spAlOYPLki1o80E+kzs1rGcNridTKomdUiBW9ra+Krliq0+rvvikXeiCLOdEOKbOQC3TjKbbVk+6Zd5ajM2A7yZkCeMAnqSFHCK0XHtJxO/8xCrv+c+Cpw+mwYnMPowolpNUrmQuhl+2D7OWtlSiZKuiLUmYNMtfPNqinHZytVxjSomiZkXg5JCvYL5peMU18M/f9XIuvOx2onBIBvC8C/O6yzbwkss28Ird00gzx9nFFuOxSqeaFqwxCe5CulRlR6USMP95CtRcelRBrJ5PmshkDbgzO9CB29Czkt/9aJMn9gQkqsTaoqg3gZItWAF1WYYVrDw5d3DNWIgK2AtWf4HykyquJ4BdRrhN0VBm9Sqzi3UlS3m/zWwybVafYicmYzkL0e0cIRLJ9VeM+b/e3qclEydw7aRkSe/GuRihhbEllSoQp5IktoVkqUgSUwSHZkK65PLFrpUl5WC8LB+VhMCzbJsBFTbYf2IbvXAHq8Pt+e/nDF6vedSC4OCuHc1DKmxeDD13kEonIjfjZQFuZ00VYK66JjZ/XqS6TdUHz9g79bZFKdBUWXYyZW+pSmAXMUokaC9hYOD9H2vyoc83GWdgnmBuhLPo8oKq52HvSn3EJGOLAtjVZI6oHJ8qsr+SPJlk73LzVVWHG8hHGZcZvSxZjHGyJGN1YQUirVERVrpWL2vdc5MGndaSJBZfWL71dQP2HNO8/6Mt+hHugJmUCrNHx9MkRhaBZJqqN6T7DKXHllLSJ/PGs+RMlt20krzcVYj0BymIrSWfFpaXhqVPspngSZLQDxt0hsEhrbyDtoB1weCbNm9l5ezdn925TX/g6t0+m2Z6eJ4p7dfolsNJBhclBi8SNabK6pPWXykAlWoyG1li7bI1WAJ37qDomF4I7/ubJv/5fW3OL3l5bXe51sTdRYm97Zps5ZqZLeWiMSbAXn49wdqVn4kXBneG6nKhVf5e5aVIGX2SrUspe1N2vLKtPcr1K7LSjW/SYLNgdE2cKDbPGX76+zr807f3aAVxuvVHUmLyyD3aBKxxCRYDIwOhcQFnZKpsHq/L5iJnbBeUFsxd3jd0cqXLmDu7xwmcXLQMmSek8YEP/s19n922betagAM06oKpdvCpYTx4ohvGjMaCcaSIYpk3vVZCpzJzTzQnSFVMm6okaNaTJKKQLmVQF1ZgCmpRKn9VCbJm+Zt76/ziH7Q5u+y5ITdr2LuasfREkcDJNGLF884APcncJZ+7ko4v8bSYfPN/8lZOaBTgLwL9dZk7HXrprLgS0Es1KkV9tKToyJ+QKtaBPAoVW2YMP/39Xb7p1gGMk9RJiQqZkjorOcgtRLYE8vR1bAVxRZqUnqcypuygZIC3WVteCeTZQc4SY1oJAk/geTAzD0EzekLq5qeM8CvHVJdfbLjgH/FP/uVP3W/xHmkwc91VF3jMTUkC37jeAGHyKQKF3501CJcbF6rPhSjsRlFi9+J9k/5+ibGFQZS87zK4pUxQgeHgSc2ffrLJmQXf+d1rgO32GBSp5s6cE50mJiY7dcqN0JPR/GTUk09DLWP6q1MlOZhf8Oe59LCFh/x8Hjmi8J5TUAuTZk+NwCCQwjUrF9KkCDZdV33mjyvi0LJlPuHd3zDggSd9Dp3yIUi/mLETcqVYZWKy4FNg0oDTkMkul0hTpRIEk7kuwkkaaYpjbGUarKb9ntlhdQwu8BQEnmD7RsV1V0ou3dV7xNq/vv/d7/4vzw9wgN0X7EYIwdlTh1npDakF7qpRshipnAeX5Y6bSTekLFkqgDdpAJcldMquSZL+tw7ccg2407tvOHRa8x9+Z5q7Hq25BsqK112VJlqQj4HQcq3WXm+YT+V3ZHFwn6+SMNMolQtj8vfF+i5JdlSzjqq1AC7545aKPZi5I65ta/2iLIGTCMLINEkkEcYRljAyLXqyJFaBccRlRpbbXzbi53+kw8/8zhSHz/iOISBPAJEB0mVTsECMyDOsNl0xSfV3NkJCpsCWqd4uYo+iY4h0lwhsOkw/J1ZX4OVpQS2QtOqKhj/L3OxFGGPWEMUagH/3t70epVT42Ts+zrkzB4toPlsiKmWtUK4bqVQF5kxuKkFnGfjVC8Dk4C7Lk+rrGOUZjp7X/MffneJDdzYIRdqClDN2GeRuEI0W5TrvdbbfFnaNJGEdcOYALv1O2Q58QeKumLnrsHmaGZ7U4u6xVDKbvS7ViZOBvpLZLBohpHHa3AiRA9rZiingTSm3gQs8YwM1HfOu1w9IDPzMb09x7LwAL/3FMrizJSaFk7GCKGdigcGFfRl7q1IBVr7yZEGoAJezJ2cDkZYqlI9Ndl6GY8PIRydRnAAALMxJREFUbmbHJW8M4yT5ygDfuHGeWq3x45dcsvPKcf/UbYJBJQBbk6Us126vC+gi9V52TtzvlSWKyZnbyZMM3KU0vE44tuDxk781xUc+1yCU6c6vYr17OWNZGl6fks+60oSJYLOE3En/uwLqSdr+O9wmcV2uC1+btk+hmCZ+MgavNka490TG4lnypwLydBxsbgA7cGfCN44tnk74jjcN0Qp+6remOXbeJ53DXL0ITQrM9NgbJCFOb/slj9xat2ePKZGNEm5uocqnZznfvMwNRhSFVlkMkiQGz2+yecuOuzdv2frjnW5/zXGVk2/U603uu++urhX1fQgvySradCm9ns/hlqYC9PV97AL85ZR7wfpJBdwyA3epsErKGKkSTi8rfvq3p/jIneuAe40t6JZAT1a7dNZj7wzM5Uq+Mkusp8fXt7ptFfT/E+ieDDAnffHiTScBiiKswi83VIfo2wknpTLnMPPKs6CzlNK3RqWBpyKOJTqBb339kP/nRzpsmSsFm5P+eH53m1baNGgMrUvvj40gtJmzkgWh5Kn+2JDfkzQNnyTP56M7aVav+cnMdHPfXXfd1Z2ean1lgJMevGjc+5G5mdpTvke+iZOX3nVpp7JsL8osCVPJPFYqAEsBY6VAqpSCF+X3EpSMUsfEkHiCP/h4iw99pkGoyoDWE48lcIu1GctJ3V3V1QVA1xsPUfa/19PXxV6h4n8W39Vs5pqkTtU9KSeAckuQtQxe7vqpuComBbMtOSppR5C1ksSqkpWoMIlEJ5Z3vWnA939jH50khX1o4wlXpQp0ay2xyWpYnMuS2YnORizqWWJT1K/EudUoiBLSu3seJ5YoSadbyNpTq53ejzzfwrkuwG+99XaatTDZfsGFthYIAi8h8BN8L8bTCb6X4OkkB3tRjz3RlFBh4XLSplohmJW9SlWyAbMiKmVACz57f50PfrbBWKqUasuALrE3hTQp9tUpAZoy0LNxvlBtrp4AeYmpy1q7DOjsF9aUyX414C79YkWmlFh9jWtC5oszcQGk068mLMIKq0+AvlyM5Rg8BXfG5saBPDCWb3/jgNffMkQkpvDGM5Cvezd5nU2UZj7HFkKb2okl3zzKfXSRgzk0EKYlse4uGEcQRk5i7br4Iru0Mkpe+9rb1z2++vkO/OVX3UIUjT7YX92/WyYnm/UgxtdJOsyyau8VBVXVu3NMSj/PrEBRPOZZyvRRlJ0TbRAaPnFfjR//rWmeOxykDcPrADt/XUgTtSawrCZyquMgJgp+csxWt8Kb1C2V1P0EqL8iuCfSmGvlicjfLA/GX1OfkhU2VRqUbeXRVPQ4YGR6mTgbUVA4LBh38RujXOArQFiLTeCaiyN+7V91+DEFn7yv4fS4ovpF0lCy+p7LMiSpxEos6JSIdGaFCkjShFyC5f/f3neG2VGc6b5V3X3inMlBI2lmlDNCQkJIYMlk24AxNuAc9u5zbWyMs801Zr1m/awDcJ0D612HtcH28oBZbGxYgzFBGBEMCBMkUGKERnlGk0/o7qr7o6q6q+r0UUJCgG89Ojqnq8P06fP21+/3fl99pYrsU8K17EMuI+wc3Y0tYytPWXZjPpupeY1prRVNLRP5+ODa706b1t3fUDeOumwF2UwFmZSPtCfmcve8IJop2KwmFVMNk66EMqgTRgV5FLiJBm6HiCI+xAV+tzqLz3+/HutekOCu0rpNakKodCqhzcyg+DdsUO+HbiSpKqh+6c3Ww/erdfP99Fs5KkawB3qgR+/TQvZAFfeOpkHR+bjOvfW8FS3VVkwpLtNsmQNWoZjb4+Pqy4Zx3spxwSUYS6AnGoXRgkJgHFxGOMsyOFRiBCXF0RlBORTLpYCgGBAUA4rxgGCsQjBaphgpE/SPAFNmzOq/d82z3+3unlTzUte04ADQ1jkXoT8Ip3QPOBsWgQMivW4l58grHI/q0Qc96K9Y947VFaGkEKLfAIqWAL97IIsv/KAez2yuBW4aW26IgI4XUZPq4j1qFI49BGy/YNcxa0mICcmDGtoPnodz6+eJrLW2Ps5LEVY90o4Nax5r4iLoY1tzlWXI4jyVyFEV2YeQwSAm5RlCpPeqZcmgAiyY6uOrHx0G58AfEi25uvVovIJziRlRh4UTIkaMcUvZgsgwjHaR/g2BmrIQaG0oYMH8Wehoqd/vtd0vwN10d5myfR9uamm9qTK6PU8I1SwI1TRZ9QurIf56frhOS+JoJYEK7MQAV1YcLsHtD2Zwxffq8ewLqWRww7Le1M41UQMYtJwTmNa7ipIYDqMFZhvssOeOifvixQNDXFVlqqIniIEbJUZH0qFOP3SOHisqsZXnES0RMqEGdiUbKnVFCtvRd6BCIwcFCHcQslhQRIXjuKk+rv7YMBgH7ngwqwV95Dfh8nfjiCVEdYIkyvABB0EIAXT9WsfOt4zfKxEgZFiycMIYA/nw3Gmd5cMHONnBSN3MRz3vvGGXPZJn8OGAgnMXfuBKL1sbzgYFkhjoOrBjbh7GVpxKaoIQxOHgDsH/PJTB575Tj3VbUiLhV7fUVbKgADclcUBHlwOr87ztAbyxs2lnDFaXEyOGlVc/RQT4WrzF6rNYiLaCRObaTqU1nU4N3PrNwLRDyOAIQQx0QyNXNQ4lFxepe8KKi5C+sPYq3q5K9zGmns4UrBJi/hQf1358GJwT3LUmgxCIE71FTQjzW3D5W0IWMrSiZlwCWrwJUIMFQOjD5QE8EsD1PFz2rpXDS4+b8uiWHQMM+2n7BTj1JgMkvXfTlvCiex96w7233Hmf987Tyjh3eRmFbAA/SElvm0fWI7LkhJs0BZYFJ5rmLZ1VRgn+/Nc0Pv3Nejy3VYKb1nImafQigBXQ0WubWIn0uvVGsiU3QV7dF2HX2k7vP9TGrVfUr3VWBTihWWqi3wDcDP6QODjCZMF7NTA5KaccMq1W1S7ULbkIXHIQJmlHhWFej49vfWoIlwXAvX/NRAMpBDghLTeDrCiO6K5R6W0K6NBuBs4jDk/DCppyRZx78ijOXz6CupY3+q0toxdNbGvc21Kf2+913S/ACc3ggce3oL1lYV+Q8jY/vHH37Lse3o0LX78P13xkEBNbfJQrMvjKY7NGIp5eDe4Y2PFn6ghw3/VIGp/8RgOe700JGUQHt6qGqmgJaIQwSjRqAnt0jh69TLLetShLddm1REDrwLfvgHiTA4I7KXwv6IlWxthSSYwQfqR7Q7PaIiCiisUry2wqKzy21JxFdIVD5ZCbllzQFVFkSJ0o5Qyzun18/7ND+MQ3gbsfziCkPE7kBge4o+WS67xLrYcGcvU4CgHfR1frGK6+dADnr/AR8g6k25dudupm94X+c8hk5uz32lIcoBHq4sY/rOl1wD74llMXgrE6PPZcAb17qFA6tPyRKHFKD71HiVOBllsi1RPC4KQ4mEtw96MZAe4XU+AHciiJWk+METq16nlXh+N1y8zNPg2RVbTFAnk1eBPGq+4H3rzqg1zUzLhOQeK/KIAhMWk5owS6ymJXpDVVFFXuTS/PbEU2OYU+8VW8j2Ok2vIywawuH9/+9BBOW1YCDZmIzkSRzSRVRe+zP8tStSHHlDYfS2cxlMt5FHEKSkV8cLjvnl7HcXCgdsAtfvpv38Jv/+vHOPmE6SleKS7euq23Z9Xifrx5+TgynviSMTflMaC10TkO0YEfRjkoTgrYus/FnQ9m8Pnv1eP53pQor5aYW6KXfhDgVqpJmsR53i4Rht8hIr3AKJ6jFTKKZq9Q661ZFyglZvBHLVPh4attVZRT9REqEryILP6jryfGcsJThMa56NTartZLrCdVN6OIOZCqG9MuqWek+2o3tbmPdqsaj7DYpSYQrKStJcSJc33sGqAYHaIYGiU11BX9cxI5i/9WJSQoZDy0NHSj0PbG1c0TT/+lm5024HgTXjrAAeBrX/sKzjr7vIGGQt3Iomn+21dMfw5d7aLoinKu4tHyVjEfo7ZJGCdmpTme3+7hqz8q4Du/rsPW3Z4Et865NUpiOJdajjeNw/EC3KoUBI+AHs9SHIPfmBawCtyqOpUFfg3EUQif6kBXFazUOq2PIBHgOjU6pHdYwKamv2DTL7usXlWgSjuWQrdOvaL9dPTZfI0AJARam0O8fmkFEzpDrN/oYmCfo5Fh/dGkOxc2uOUfdjyMlvLY2pfBgjknY0r39M/u2NH7QPuEKQcD3f1zcL3Nn9MDJ9X4aE/H8K2VwbkXjBbXIpMGXCeQHDtWSQhh8oIIORAR9xYXlmaAjX0evnxdAb+5K4dSSIG0TkMIdCcyAn1UVzDm3XrhnqpswQg8Wp3yGn1m+mvMP6LuhBh8zNEtM/gSm62wVEcmNacStpwoKQlkYUu1rczPFkl/+nA3sSPReDmVfF9p5SqAFOWRq5rcUd1E4SUwmVFIA6CjOcR7zyki7QH/8oMCNvV5QFpp4AITSg831Rb523MGvQrZjBnT0dAy+9am1qmPBnT4oK/lATm4ak0t7ci5fb0Tuk/6RCbbcFs2k0XK9aU1qHYiBRUJtcxA6YWnCDb1ebjqunr85k85lGCD2w7Faya2yqkUjyA1WWtkiS3VxODesW9a/S6BbOSgGBYsmatHmxEN8IeDZG1fe8CDvjm3jhHzbi0xKyH/RPTpZZdhqCdMAzOXfNse7mb08zhJi3FHcHYIzh6WCNKc4aIzi/jSpSOYNtkXSSdatmFi5BNyHSA+V3y0ZNJobWm47Y1nnvSJ57fu6+2afGBqcsgABwA3OxXPrb9v6yg5+enbHp2EjX1FOGr2ICiaIoFN4uQqQoXOStMEL+x28aUfFnDznVmUOBVlXQ2LnTTsTCUgi8dmUrF6x9C/dSuepHHzCLSqjk2SPKiD25ZNbN5qIv1QrqoWy4D1tNbe9QpYUXBNe7onVqe1nv6syglNSMKKHMrY6YxADQ3YKiOROZpj6oAzR24vxidnOcPbzyriqktH0NPhi9zZKGxvA10HNwDGMHXCHlz5vwgufeeCp9f8dfXWhXMm4VDaQVMU1SqYiNkzJl993U2bp01u2fOOcmU3PFeNjhelHAjhUdBHmbYKI3j8yRSuuzmHm+7KokLkyF/bcsvZeGNZUJcIpfMIu9SxALH+uWp4mU5PEK+PAGpZ8yoKYvcZDpjZDoetGJSUqD4C3V5HUU/ogFaljWNrrDaI5o8HooKWspS3Zrm1YJCavSEKFKkTiQdMgFKjjARVFIUJOZtJ7VsUfQrBAo60y/COs4oA4/jhzXk8sc5DmWkXPgILlyICBYgHSimWzO7ABy/oudFrX3x1WNp8yNf1oJxMvV33g+9jPL+yvHnv1NvPXbTt9RSl7my6iJRXRiUM0T9KUAoJvJQYNwdKUGQEv/h9Dpd8tR6PrUvBrwK3DuJqh1IsCwCndestncm4tnfsWFJtWXc21QzKRHcqI4qjqyPVikq0TfTQ0RWS2ImkRG1/EE6mulFodR+l5k0nlmuoMCBVN7RO0QDtaWU5pPHTisc3vLxVY8dz/5NEif145LjGpkE8RhxwzJ0e4m2nljEwTLB+gwtfBirTDkNLXYiGHEMYAGFIAJpGU10eXS1tD7z/vXMuditrR1P50w8Z4IdswQHg2svfhH27HhsHLqz0b/0P3LN2L4LAw9pNOfzyzgw6W0JcfHoJb15VRnMLww23ZfFP/1aHwRGVy63REhXNqpn+Kp1KxJbbJdzI81Yevs6PaQ0n0qAkFhAM/9J6VwuxK2SybQXeqlbDnOuOouio3pYbfTK4Q+LNjbGZ0Kw6sfNUBDgZF9cstuLSsQRAo8CRYA5UzEkiI5sktvpE0SMZ7JHD/al0QimDKJIPGSyS/4NxuJShrQH42kdH4TjAL3+fRXMzw5tXlXHx6SV0Noe44Y9ZrN2cxmCxgmKpDZd+4PzK3avJ+JmrFh0OVA8P4ADQ2DYDnLNHnlj/uhUf/4GffbFvHCEXj5lNWwM88GgaewdH0dMZ4ss/qsPgsBMXIYmycmynUoHdBD+BVvYBmpatB3RgWWMbxBL0sEBvWqDq/aJ+m4tHyyYqbTyTmmssMMMGqdavljWeDe0G4UqJ0G4EMdVIrJSQCNSI+b7KJafaKH3I0D4jYBRy8LKIagoZRoj1lAvocs5k4h031BbBYDiomuOBhyBM9DXXM1x1yRhKPjBlIsM/f2gEvALwgOKLHxhHwMfRt5vgse3zivPnTn+EqgmjDqMd9p6ENmDLruyVE7rO+/Z7z5lV6uoCSLoBSOcB6mDZogrOPLmMHfsoiqWIA8CUARXQdcCbJR8QgVlGKymv4trUlgetoI4BVg2wOu6olkilAzhpprQqqForCUncar/grpmBpTuaendiTrjlWGqOqR7lRKSYQHMczYgnsxxRo95hgjrDuBkBjTJOpbKiHE9wDh6KOaE6mxn+9JcUHl7rASFFqZTDeLGAZzaksWH70tL5Z5/57YntuLKzrQ6H2w7/1gAwfWKG9WTvuOr8lc3XHD9rWqUln0ZdKo0Vx1Vw7WVDWLW4hLeuKqFjglbRRdGRCNA68LUXYnAr662H4JMqwtoBFJN+VFMW21IbIXodvHZ/jZumCpQHjW5U3w8aKO3N9Rri0PJOjCcALIAa4Xv7JkkaxqYNTtakQ2b3W6F+G9yxaiM1bya+6o5dDv77vgxWP5HB577XiAefzmB0vIC9A83g7rzK5t3d11zzwwevIqR+v9mCB2qH7GTabaTxPeFzuzofdkNSmZgdOXXZrAr5yFuHsfL4IkjA0NzIccMfc9ix19OSpxKoSVKWoAZuT86jowd0RIQy/kwsyx3JhjQGvx5+rwrN245nUlheC8/bDqY6hnI0422J5YjigK9EFShpW7UOcbqucDi5+beim1oPufPozrQdVdFnpgcrryN2LonlbGopG5oh0O9f4bxzbOpzce0NBTDPw9a9BWzc3gS/1AA/bGczp0+/6owzWq5dMWuk/K/X/vYl4fMlWXAA+N4XL8TZx4XFd5w969b3vvV4ft5yjjldaZTKWcChWL3Ww+5+c8xkIjUxKwOKkyNWEhWEN64rIgS1Q9rxj8VrgwmaW2Av678QNwczGFa/JvGOwaNvww9k4XU6wvX9qgcZq21UKQlF3s3RPgR2Eha4vQ0MyhFFRCOLLS01EI3Kj7en1tOghlWHGgIHTGgJ8LpFPhA6gJfFU5sb8fvVaZScJby/uOTWvzzYUky3/eNLhefhO5l6mzGtGwHp3JBG5lJaGbwuHdxOPcfH+DjBjX/KYne/hyrlJImPx9MIC10bsIrU82rrHIEy5uE6CKssGKyX1WdAs8YNEG2jrF+N63IwLNzIFpSOpK6UGM4n0XbSnU4iQ+0EVY5qVECIW/RG5/xE0RoZngeiUL0auxCPIiJauJ8Yykp8bPHU0mvKc9CoGlYIjo7mEO84cxwPr8+jGASoBAGOX7KMtU6Yfulx82duWLdp55GA5ku34AAwbcZcdLX2VbqnLfvJ/c+6n7l5zWRsGQjw+CYX9z2cR5ml5ASseuIUsUyb+a6sdzQyHrAUE3MqPZuHR9Vi7VkDiAlYidREXdgEs/mYNUFsTuF9xFpCbN4owGn3GbqjuWxHNxXA9fluTO5Ntbl+TE5up9zGg52J8beV1VbKiop2hsyDSx2celIJS6aX0VU3is+9Bzh9WfEzp6868ScPP72nsmD+3CNyCY+IBQeAbMN8PLNxd7j4hHdvKg5MG9nWN1b4xo378PxAvZwrR7vyOkUx0uFic0phRit1rq3GVxIL0Ik8FagGL1BtwTVHEjXALJaJ2V8F9qSF/TceU2ENiLrmrQY4yD8cfdYMvhHlFEAmiK06icZzxlZclWpQFhqAjFbK84kokaplKCKdTFIhojTyKHVA08mhrLjYVjwKaETPwtBFTyPDp949gp/f1YXlSy8YecNpizf5lW3hyUtnHSlYHjmAA0Aum8eUidtvw5TFH71hW/HbL+y6rxl0XF79Moxnok1MNWQQJOSURC9eNWKninJEL14b6BE/j9FM7PPQ+qt4N4AEjFeH7vcDdB3YictIAL+hf2vWWxlrBfSIosQ0BUA8FbfcVs9dEf/kbMpMON4qfM+iLMKkPJZ4WTsF7XtI8EePEwIOF+Wii+XzmjFv4RkDZe+UT95y79htbzv18CXBpHZEAT51Uh4A0Ld75Po3vf4sd3wkffUvf3tv28a+Xdg5JKxANbB1jyumJ2LcfMy9q4aiUZumaHkmSHYoq6ytTUm0G6GW8G0nVhmWPgHMh0VYbD6e9B4Fd7QVUf4J10CuAj/KdCg+LsGockgIF7XE1bhLQMs5oaCUSctNASZKBTHEXDtybnlsXOLvowpOEKjU6h17CcYrU9HZc86eOd2n/h8eVq5fNLPtSMJRYOmIHxHApPYCeFD52YXnnHLFly+ZueeSc/uRRRnRyJzoz8phSczMIlMW3HAsdUAngNu20BSmZYf2uQrA9qLF1+3t5QPYFks0sB86rPVswSrnEtXSetV6613WIa7eR94cekQzmu4EKvJZrYMbU6DwWAPX+Xf0fDbGBQjhW2Upck4R8AA/viOLx144cU9716lXhAH7GfUajwYUjw7AAaCttR714R0/WbYgd/n8mZMHPJoCdTMQ88XTeKpapucAi0tkj6M0tO8allsvyaZTE4Pm68uIQWqAXlq6pBwU23qbjVSjMHlDs3HrI6nuV8smgLVt9Lh+9C4piaIPTKMS0G8QLXuQxZTDLtipS4VxDrglV0L/DURVM9cVA10YpwgCD2U/jVI5BZqZPrB5V+Pl//SNe37ipgpHC4ZHD+AAkGq7CHc+vucXo2z2x1YsmT2SAkPKdYCAIsUryHglkLAiq5MKa64ohq53K2riUo2DW8BWAYQkB1PhxrZpEWhJ8ja6E6r+q8a1adqNxYMw5NxeqBmu1xSRCKTE2M1QSWDq7Tr2IytuRDstkGuWmoUkmoQsnttHL/2m6pkICkQIg0tDeG4FQVABoRV4DkElSKFYclEMTxxZdULXx06Ys+0XX7n8vKMJwSPLwZPa+k2trKUhd+OCGXuDiu//fMsLOzPNnUWcu2IvZnWX8H9/XY8nNtQZSovi21GFqmjqER6PrbQVE8Spm0ayVZL1rsVdEC9X0RLNc0rS1e0dDoWkcB5nOYoOxDo3YA5PQ4Jjqu9j/HUulQ2ZWc4FB47iQdHBuLTC4iCMye/G1LUich4fDiVmExAwQkEIkznkFOBxQaeU52PtJuDa/6rHjC6KNyzNoeBl0Dmpo1TBlP/d3d71m5Q7/JLC8AfTXnKo/kDtT3fcjGmLTuf9Fbp+zsTCs0tmZM8/a9Fe9+LTilg6t4gZk0tY/WQKQ2MpwPFAHQdpCmSoqNjmOjLfm8azo0WzpGlD1OzkKgXSWnVQogHERFNqojgTiVTLKMROYYTiibWtCM0Ta/84/7v6vYYjDHXjxOenZNOqHBvAvHG1bajVH6lCxPQRFFXjOkczuJL5pFAR3ehYijLKstmuEyKTqmBbf4hPfrcJt61px99eaMGe3XWYPHFeqbW1870984b+u+AMhxOmf/Bow+/oUhTVvvOlD+KsuYXwtw+eesuqEzvfv2DO9PFiKYdyKYsTZoTobPSj5ymByhqMLbdLOVwH8cAGA9gxuGslQ9lBm6pm0BRTHoR+nBrLgKUFHcT2NhVJCt9z67NZDN+iITxhX+OkeMJxiUlZeOxk2s5lyChYKGqIB8xBID+zMJ6OMJ4OjWHnkINHNhQANw+PpFGonzo+UOx8/9QF77rl3rtnh7mOTx4Gkg69HXULrtott9yEe351MpYt/9WzzF+0xXXZmTwczNTnyxgYBx55pg4VZOA5DuocjozLkXKAlKOBW7fkmsVNDO4k0RRjWY6ModY2qj/i9SR6jyvUqgQsYj0RtJIR0bEOzoJXjQ3dDx3S19vpwPo5IfHaVA3VSNA6Y1lPnyZFNSEFmtFfSjkcJ4TnBWAswI9vS+PuxxuQyeaxeO7koRlTJ15yxQ3bbmz09+Bd73z7ywW7o8/B9bbgxHdix/PfRybb9GuWXuSl3cnf9P17Wvb0jyIQkyYiRdV0f1zQEzmJmkuSLXWtlri+xjKpsY1pybmpppCY9upP96rz2M852oEd+VeiIA1J6DO4uNEv+HUVF9ciooC1OjoPIiw8N627DmoGwcNVXRv9kUMIh+PEltx1CFrrA/RMbMRZq07q72mr+7TnOr/++Js5PvXRdx8eeA6zvawAB4DOWZeJi8r2/ALEc3e/2Pz1vzz157aSD9CUgxRVllu8PAfwnNi5tEPpRtnhA2XpWa1KUUECTm3eWsVfxafqYx2IF8Xnz0ky8NR6oiNd+YIqMkg0b1S/AXjyzVXVFcWIzLsgznOJ73ICSJCzaKJXQFhvN2QImYMwdEA84OIzCihMOmPPm884+/O+7/9iyqTGQ/txjlB72QGuGqFt2Dc08tN04wXkbW9r/trW/7y7bc++EryUi7TL5UuC29EoibzY4uJbAQ71WyegJTJkB7Bm0fkpOqFtQxJeJn8HDgrVdtPUElUDR0UbiWZZo34SAzji0LrBjdQRZvwNca5y8oIEa1A1EML6LJ5eIu+dUR4FfgABes8lYCwAI63o7LlwzyULz7wCCH9KnMajhqMDtWMGcABoaiigf7j0k39466og5brf+tlv1jSN9g/AowwZD0i7gp442qh21dRFV9PJyUkIjHwkAPFTmsRWnuwH1ZGTaplk++YgGk+yDezhND3fRD9GVY6VlksS5ZPIPlWx2L6J1akbNyupNhbinViOpq6Tx/6C4NxCH+cgoJQh5bmgqS5kWs7cR+vO/lzA6M89L390wHOQ7ZgCHABa6jMolsvXv/vcZQObtvZPz6JyzX33P+RlPIJMisKhJCrzoGiCGjEeMgkvxg0gaJV940e17IvAL2tmJ/Fyw2Irx0xz0IwkLI3C1KDhB9VsKhL7dXE+t0FVAEvjhvlF9fOLFqzCm1A5K7JmeHQuAtihnNaPMRXOj68PoRwOpXAdBt8PAUbRPmml7+bY5V7hjE3Eyf6B0PSxglXUjjnAASCbTrM1jz1322f/8ZzUunXrxyc20R8+8cSTpFQqUWpYb/EDCusCkJAjQFwGAVCSl8bJSfwIty18lZyn3jVQ69Y8FhnM2RxsESJSSg4S7rrDSBBTFfvEqrIHefzS+bf5nex8+Bjk0aGJqD9O9CioBHYQEAQykhmPGOIgUtHinCCVzrHOnuU8XT/tsuZJ0/5zbGhnpa5x/rGGFYBXCMABYMWS2XjyqWcrs6Z2XO+Ryr2ElS/e1rfzX7fv2IFsyhVZa4idnjAUP0WYEAszcjY0q0M1zqr7VAaItT592Zbt1FoTwjW5T+I5KmQTIJHe6MBnEH6InSGoNrRriuvfw5wMLK5IEO9A4iea1hgX81WWK1RWEpZ/Sx7dpQFaWjtQaGj/53zD1Juc1KQXd/QNVSZOfmWAG3gFARwAjj9uHgAUb/j1Lc+fuHTh13O5bKq9tf7Kgb3bnZHREgJGIj4eBALcJZ8h5GICI3umg4i2cM36Uk1ek4VvlNlKjAra+jVMHVu32EAyxBNhn+QIIz7f6Ekjj6DytAGYjnVUuk3cJrFdZlXavx4cUxRFDaYQE1KJs6A0fpoEAcV4icIPZIUwylGucDDuYfr0KWF7e+tX6pt6vr5vYFc4a94pxxpCB3ftXwnt+l/+Bu97z4XYs2fgK72b7v3M7Xc9lt6+YxzZNEUm7YAQjv7BEnp3MZQrmjYtwR2q2o4Rb9bqhcugkXJgo/C/Q2QKAIkqyzkyeBMFfIj5bgaNtJsBWr9EmhEcggqQmDeUXiXXTDHgZgVdPTeHxu+uVJ3ErNMcjsPhOkwGyMQypTyiLiJbWUYqmZnyWq5QbNmRwu4BFwRAygMa6giYm0OhbVH5wnNO+UZ9Q8uVjzz4Oyw7+fxjDZnE9oqy4Hp733suxMjIKOrqBq9saVlJ3Uz3it/ddhfNpIIVCIbcqZPKGCkP4tnbcxgvplDIMjjaIzuU00MrS0QpgSu5I+HQBtPKplOQCFi1o5C2aajSwS2Cbyxp1ltXeyKqolEo3YHk0CRDuY2YbErXvwVqbfUkTmvgcnJeQVk4IwgJBeM8oh4O5ajLBRimJTy4zsXIYA4TW4CervYgV5dZs3zlWSzTMGXN+l3syrHREeTrjl6660ttr1iAA0ChEA1fuuLPd9+BVStPLPjlsX+vjG15e2fDOvrAulH0DeWQl7TBc8QPXgkIKgGBH4ofmhLAlQlEBFwbh4hYXUF1CN22uPHMbKSKwkRRTp2hk+RHZM2gDmKQ63waSh/XaIiyvITKkfBqsilY4Fa8W+X2OAyOI9JZqXQS/cBFGFL4oSjpkE6F8NwQbY0jgOti92g9Fs6dxGbOmnZzY2PhQ5s3942cd+6iYw2Pg2qvaIDr7fQz3oRdO3tHCM1+DJXJG3f2BQue6mu7YMfeXZjTHiLjEeQyglq4XoBtfQ58TpGmIp+FO4AiLIRyONy04DpgaWS99bwUGcbRBOUDce9oh4SV+t/VO410WO38VG0wfTgZpao4Jlc1MGNVRd0VBHKuJGG5XUdk/HluANcN4ToMjBGsH2jA2LgHh4p9S+USOlsruOTCHvzhoRm3nnbKiqePn9v5neGR0sj0GVOPNRwOur1qAA4AHRN6AGDvfX994YtNTR/oWbJ4AzLpDRdsWfc0HDaC+nwKbY0epkweRfmhCu55qh712TTqPQb1AKYEcJiIxAGmlh3zXhJzXaKVS4bJu1UztObooDWstCVPcq7tavfrB5DbMSnngfJIuBa52QCJphSJDyxmepaTgTlcgNsLkPYCpFMV1NeNY/VTLm57sB49bQ6aCxx+wFGXb0K68QSsmDvj1lWnz/8kMNpLSOexhsAht1cVwFV7/dIp6N3e3/uW0xZ8blpH7vrw5Omf2Lxpw6od2zejtTCGRTMdTO0axMBwgCdf6ICTpxAlIKVDxmKVBUCsnEiQO6pkm6NlDUKXCmNrTqIDwMg/IXKDiK4fgKvoeDZG0ttpsCoqy+LC99G5EKFdcxqrKrFzK7L9XFfQD88N0JAvYt3WMr5xUzPGBl2wcgnZmc2Y3bUQU2ZOuz9TSH/HyUz7W1AJer30/uejfKW2VyXAAaBnYgsAbOScbwTw9D1u2HnSifN+VBxaPyNPH3A6WiuY0lbCExsYiozCDcScmq7D4en0RAO1UFRErkWkqKiBDKgODEHuby8a6ngNa64sdIKRjvv0QBU0a6/AT+Opr4mMYjpEDTXj2vZcVCagHJ4TIuUGcJ0QqVSIrbs5NvZ6aKvzcNzCheEpJ83b6LnBJd3TT94B4PnDGUD9SmqvWoCrJn+A5wcHB5/nLHzDyJA3qbVp7s27tv+qnjqD+awHEMYwHHJQSpBiBKHMXxH761REANx1BMD1WRrixi2rWjtemSC2yCNYkVck3zzGdvI/3QFlXPBwru4CV3w3qpU6VgqKE3FvH5l0EZwTjI17aCrk8Lrl08be95bzhxszwUVTpnb3uY7T+2oHtv4bvGaamBIPlGCg4W/rnl2+8cXUf6xfvyUojq1t/u1f+gvbd2fRmGLIeRyFDEE+w5FLE2RSBGmPwHMJPJfCdQXQHYdEGjYQ58BwwzqKy2jLivrAg1phe1PnhpnvTvTjA9CDV5qppwRS9wY8l8NzgZTHkE5x5NIhctkA+YyPXKaMVMpHfb6M3UNlPLdjPk45Yf7ghEmTRjfudD+USi9+aFZPfggAe62AG3gNWHC9UfHDsIef2rbPc2f8saEwPOvKL/xPeaD38s9W3Efet+axF32/WJzj+36mXBlFLgVQIhK6XFcA3HWFBfdcKufmkYlIHMLyM2ZacINHc1TJhCSWGUWOh5ZHLbdNyvkCkmlNyMRLnYND5bIr9hABLQIn4PAdgIUcDvWRzabgOPkS9bz1k7q7eNus96SaG+q/mSlc8/MF9e/nwE5GyIxj/RMe8fbauVVrtH39G5BJu+TLP3oAOS/vtDTmf7hvpDRry6Ytrxsf3Ok4KMF1OChCpFMuUikHKc8RNMUlUfAoZIAfcPhBiDDkBoeOLLROdSTFcaQlVxZYpfcqZzGKpDqmBUd0XEQRxyAEKgHg+xwhU/o2gUsJXFdEGkXUMkRd1kUuR9Dc4GBKd33Y2t71AGj+eRYMX8r4QBjk3o+mhkbOGEN93cs2cvFlb695gNttx+5BZNLppt179n719jv+lHrxxd6wqSF/gutgSX9/P/xyEZmMg2zGhecCriMAG4bAaJFjdDxAEEoJThtlr5qgDGLYlusQUDlYAwQIAqAScAQBi/ZXnN91Jci1XySe/U2A3A+A0XGOsWIoAC4js65D4RCGTApobMijqakF6RQec0jx8YkTJznHLz21Ulff/IXAr+zzUs3H+id4WdtriqIcTOtsbwSAfQA+AgCrV68GIVhVrvhnDw+PXhT45dk8LGHn9s2g1AcLynAdH9lUiOExgsERGgGfACCumImCMS4lOlWASFhwwY0FeEsEGC8ylPwQDhF0iBCqhcjjol8ijwYgckyq53LU5xlGxiro3V5BJgXksh7yuQxcN41582aisT6HQl32uXQ6f7PreXdy8PtPOul1x/qSH9P2dwdwu61cuRIA7h/Yt+9+AKvDMJw+OryP3ffnXay5uWlqY2PT58dHXkRnawWPbt2JTTtGMKXNAQeQz6aQTlF4DsFYKcR4iQkn1aGRk+o4HOkUR2OBoVSpYHMfQ7lM0VBHQakDxgTdSBOCtCeSpcZLQLEs5hlNe4JDhwHQ3jYKms5gT3kmWusY5s7qRn//wNeHh/ZtOWnZctra2kw919kE4I/1DU3H+tK+ItrfPcBVa25qAoA/quWBgb1w3VTj4L6da/p3EkzuKPonLJn3qRMXkbNaCwTFko+1a59EPl1GXZ7j6V6C4RJDzgvguT5aGsRU5qPjDjIeR1NdGcVwCL0DKfBiGhnPQTYNDI2GoATItnloqHPR2kSxd7CCPVtcUOqhuaUO8+cvhM9ctDWVQZzyXS+OOd/qagq9ExYvQNfkifeXyuXB9rYjX5n1tdD+P8BrtObmVgAYBPA7AHhm4w6sOAHr007YkfEIGyuWsWnTJqRIiHyeIwDD0Kjvn/7GE69ySOm8no6Kn06PYv2WenS0OOhsraDMR7F0sQdSSaGzmaKjxcUz28rIEILZU3Le5M7878f6H7qq6DNPlJp2kcvVoWfqPIRIIZcOaT7Ldn3xw9jiZHqO9SV6VbS/OyfzaLY7734AAOkYG9nT0N1e5LnsEJ5Y34LOVgetjT4qfByr/+aC+B5a6ikmtDp4bEsJeUIwd1odmTqlY4hzvmv6rOXH+qu8Ztr/A7GFu/traGf0AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIwOjMzOjU1KzAwOjAwyoMd9QAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMDozMzo1NSswMDowMLvepUkAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 221898000
{'hecke_orbit_code': 54043195562003804, 'n': 1, 'trace_an': 3}
-
id: 221898001
{'hecke_orbit_code': 54043195562003804, 'n': 2, 'trace_an': 0}
-
id: 221898002
{'hecke_orbit_code': 54043195562003804, 'n': 3, 'trace_an': 0}
-
id: 221898003
{'hecke_orbit_code': 54043195562003804, 'n': 4, 'trace_an': 0}
-
id: 221898004
{'hecke_orbit_code': 54043195562003804, 'n': 5, 'trace_an': -3}
-
id: 221898005
{'hecke_orbit_code': 54043195562003804, 'n': 6, 'trace_an': 0}
-
id: 221898006
{'hecke_orbit_code': 54043195562003804, 'n': 7, 'trace_an': 4}
-
id: 221898007
{'hecke_orbit_code': 54043195562003804, 'n': 8, 'trace_an': 0}
-
id: 221898008
{'hecke_orbit_code': 54043195562003804, 'n': 9, 'trace_an': 0}
-
id: 221898009
{'hecke_orbit_code': 54043195562003804, 'n': 10, 'trace_an': 0}
-
id: 221898010
{'hecke_orbit_code': 54043195562003804, 'n': 11, 'trace_an': -6}
-
id: 221898011
{'hecke_orbit_code': 54043195562003804, 'n': 12, 'trace_an': 0}
-
id: 221898012
{'hecke_orbit_code': 54043195562003804, 'n': 13, 'trace_an': 2}
-
id: 221898013
{'hecke_orbit_code': 54043195562003804, 'n': 14, 'trace_an': 0}
-
id: 221898014
{'hecke_orbit_code': 54043195562003804, 'n': 15, 'trace_an': 0}
-
id: 221898015
{'hecke_orbit_code': 54043195562003804, 'n': 16, 'trace_an': 0}
-
id: 221898016
{'hecke_orbit_code': 54043195562003804, 'n': 17, 'trace_an': -2}
-
id: 221898017
{'hecke_orbit_code': 54043195562003804, 'n': 18, 'trace_an': 0}
-
id: 221898018
{'hecke_orbit_code': 54043195562003804, 'n': 19, 'trace_an': -3}
-
id: 221898019
{'hecke_orbit_code': 54043195562003804, 'n': 20, 'trace_an': 0}
-
id: 221898020
{'hecke_orbit_code': 54043195562003804, 'n': 21, 'trace_an': 0}
-
id: 221898021
{'hecke_orbit_code': 54043195562003804, 'n': 22, 'trace_an': 0}
-
id: 221898022
{'hecke_orbit_code': 54043195562003804, 'n': 23, 'trace_an': -6}
-
id: 221898023
{'hecke_orbit_code': 54043195562003804, 'n': 24, 'trace_an': 0}
-
id: 221898024
{'hecke_orbit_code': 54043195562003804, 'n': 25, 'trace_an': 3}
-
id: 221898025
{'hecke_orbit_code': 54043195562003804, 'n': 26, 'trace_an': 0}
-
id: 221898026
{'hecke_orbit_code': 54043195562003804, 'n': 27, 'trace_an': 0}
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