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{'Nk2': 5476, 'analytic_conductor': 10.931520036713284, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[37, 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': [1369, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 27, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [19, -228, -817, 11305, 21679, -117914, -275386, 266361, 967879, -53315, -1553695, -507157, 1336470, 768031, -642907, -539821, 157361, 217788, -5844, -52486, -7212, 7238, 1956, -470, -215, 1, 9, 1]], [3, [-1369, -8214, 54924, 269690, -594156, -2633955, 1574888, 7935702, -2245979, -11972770, 2184224, 10729719, -1535581, -6186095, 763567, 2391826, -260347, -632577, 59542, 114675, -8910, -14001, 833, 1099, -44, -50, 1, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189372249, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1369.2.a.n', 'level': 1369, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [37], 'level_radical': 37, 'minimal_twist': '1369.2.a.n', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 27, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1369.2.a', 'trace_display': [-9, -1, -17, -3], 'traces': [27, -9, -1, 25, -17, -10, -3, -21, 20, -11, -5, -10, -15, -25, -23, 13, -26, -15, -27, -38, -17, 4, -41, -27, 16, -23, -13, 48, -42, 46, -45, -31, -33, 49, -51, -25, 0, -11, -47, 31, 7, 7, -11, -34, -24, -15, -21, 6, 6, -19, -37, -6, -7, -7, -35, -54, 3, 37, -74, 14, -26, -33, -50, -27, -6, -19, 2, 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-
mf_newspaces • Show schema
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{'ALdims': [43, 51], 'ALdims_eis_new': [17, 18], 'ALdims_eis_old': [1, 1], 'ALdims_old': [2, 2], 'Nk2': 5476, 'analytic_conductor': 10.931520036713284, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1369, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 98, 'dim': 94, 'eis_dim': 37, 'eis_new_dim': 35, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33555801, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 18, 27, 27], 'label': '1369.2.a', 'level': 1369, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [37], 'level_radical': 37, 'mf_dim': 135, 'mf_new_dim': 129, 'num_forms': 15, 'plus_dim': 43, 'prim_orbit_index': 1, 'relative_dim': 94, 'sturm_bound': 234, 'trace_bound': 6, 'trace_display': [2, 2, 2, 2], 'traces': [94, 2, 2, 78, 2, -6, 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0, 70, -16, 62, 166, 58, 32, -14, -64, -40, 232, 2, -24, 100, -56, 72, 0, 6, 0, 98, 98, -6, -394, -2, 142, 4, -18, 70, 60, 52, 96, 0, 92], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47628296
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 27, 'source_embedding_index': 13, 'source_hecke_orbit_code': 58546795189372249, 'source_is_minimal': True, 'source_label': '1369.2.a.n.1.13', 'source_level': 1369, 'target_conrey_index': 1, 'target_dim': 27, 'target_embedding_index': 13, 'target_hecke_orbit_code': 58546795189372249, 'target_is_minimal': True, 'target_label': '1369.2.a.n.1.13', 'target_level': 1369, 'twist_class_label': '1369.2.a.n.1.13', 'twist_class_level': 1369, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47628297
{'conductor': 37, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 27, 'source_embedding_index': 13, 'source_hecke_orbit_code': 58546795189372249, 'source_is_minimal': True, 'source_label': '1369.2.a.n.1.13', 'source_level': 1369, 'target_conrey_index': 1368, 'target_dim': 54, 'target_embedding_index': 33, 'target_hecke_orbit_code': 31525266144626009, 'target_is_minimal': False, 'target_label': '1369.2.b.h.1368.33', 'target_level': 1369, 'twist_class_label': '1369.2.a.n.1.13', 'twist_class_level': 1369, 'twisting_char_label': '37.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47628298
{'conductor': 37, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 27, 'source_embedding_index': 13, 'source_hecke_orbit_code': 58546795189372249, 'source_is_minimal': True, 'source_label': '1369.2.a.n.1.13', 'source_level': 1369, 'target_conrey_index': 1368, 'target_dim': 54, 'target_embedding_index': 22, 'target_hecke_orbit_code': 31525266144626009, 'target_is_minimal': False, 'target_label': '1369.2.b.h.1368.22', 'target_level': 1369, 'twist_class_label': '1369.2.a.n.1.13', 'twist_class_level': 1369, 'twisting_char_label': '37.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 47628299
{'conductor': 37, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 27, 'source_embedding_index': 13, 'source_hecke_orbit_code': 58546795189372249, 'source_is_minimal': True, 'source_label': '1369.2.a.n.1.13', 'source_level': 1369, 'target_conrey_index': 1, 'target_dim': 27, 'target_embedding_index': 15, 'target_hecke_orbit_code': 63050394816742745, 'target_is_minimal': True, 'target_label': '1369.2.a.o.1.15', 'target_level': 1369, 'twist_class_label': '1369.2.a.n.1.13', 'twist_class_level': 1369, 'twisting_char_label': '37.36', 'twisting_conrey_index': 36, 'weight': 2}
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hecke_orbit_code 58546795189372249 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '1369.2.a.n', 'level': 1369, 'portrait': 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LloS0KgLIkRJFnIUkcyGAWEWiCsYeOMYcN0xnInojMQDNOAlb5gy7RhqW04fk5RC0K2zMGOjTGb54dsmh+xZX7Ejs2WXVsUV+4MqKsmR45P8dWnQh55LuWJYwmZ6vJNL2/z1pda6mqe547NcOS05tT5jLM5uA8uWm68eoH/9D0r7Jyf5vTCDOdXaiy1NcsdyWo3ozvI6A0FB48t8tzx9pWP7j/7isMnzl509NS5z93yum+L773jz59vSPyNbv+gGXx1tc0wtmjFO+955OBLf+bdH5Vvf/nRl/67bzulzy1vZWl1mqV2jZV2yHJbs9SB5XbGcjthuZ1xZhUOLQo2blzlv37fEjdd2uDEuTlOn29yelFzbslydjHl5ELG+W7KzNyQl13b48VXQCjrRCri3HKNM4uas8uC/gjS1FALDc1axux0igGOnU3p9GD35oBmfYS1AkRIb2DYtWXE0qoG66TIag9GKVgsy+2Y7ZsCugOFUBZhRkzVAnZtHbLaFxw7rcmMZn5K0qoJogDSVNAfSc4uS84sWc6tpETREIKUW67q8dKrBRun6iytTHHiXMTpRTi3mHJuOeXUMhxasrzoqkV+4ftW2DIzxfGzc5xdrLOwGrLYliyvZqx0Ela7GSs9y2IXTrYFS0sdfuPfD9PvfWPwFTX740bXr/6KxP5siqJen3q+oXLB2z9YBv/wn/4FN990Az/9U//7L33sL7/079/3p1+85OljnYsOnO7Ll13TZ+82Q5pprJXujgArAYlAgLBoYYkknF6ucf8BxbV7l7li55BGDQItCQNFGGqadUkjkPR7AfuP1vj8IyHHzo/opAn7T4zYPL/Mm1+2wrWXdHnRFW2OLqYs9gWNaMjh05Z2p8k1F0tWhxn7jipaDc3Tx+DSbZZhnDHMQrROmG3BsycilM4IZIoOYDCS3HRFn0Ffcu0lGZ1BxrHTLfZsUTQbMasjy6aZPiu9Dh/9Ejx2JOOJI0N2b1viuss7zM7FvOmWLt/+SsveLS2yZIYjp6Y5dDLgxFnDyfMJJ89nHDovOL6a8ILLFviv39dl88wMJ87OcW7JgXupLVlpZ7S7Ce1exmrPstyDsz3FUjflxisX+RffuiAjKS46fer0nnYnu7k2vbveas1+4b67P8X73v8nzzdk1r39g2TwP/nTv+CinVvVM88d/s8nTp39j48+dVSdPB9zrq842bNcs+s87/6x81y/t8HZpVmWVxssd2ostwOWO5qVLqy0M1Y6KcvdlMU2nFgR6PqQl1y9zHe+MmbPpiarvSnOL9dZWA5ZbAuW204irHQNnYGhM7L0hynzUwm7NhtAEAWWk+cDhIzYvUmxZ5tl26Y+51ZGPH6gxQsvtTTqKzx1cI5WMyaOA+ZnDYMhXLlryIe/NMPlO1NGI8uGaUmSDWjVIp4+OqQeNLn+spQnDsecWwrZPh+xZyvs2hKjVMLJRQgDixCW3ZtTZluS7iCi1w/o9AOWO4rlVVhqG5bbGYvtjLNtWBpm7Nre4ztftchLrtDUginOLE6xuFJjcVWz1BGstg2r3YSVrgfuruLsaspNl5/lXT+2xCXbWiyuTrG40mC5O0NQvzhrTm3+pemNu3+ht3o2e/mrvvX5hs6a2z8ogB848By1Wq1++vTJXQ8/8vTbjxw7/YuHjpwkTiWdgWW5JzjbU5zqpLzw4nP82o8tcd3Fdc4vz7K02mClW2O5E7DS0ax0oN01rHZTVropyx3LubbgdM+C6PHWl7d5002Gi7fWiOMGK+0aq72Qdlex0hN0+4LhyBKnliwDJS1RAPXIMjNl2TSXoIMhh87EPHkwwqRN3nBzjA5WeXjfNBdthc8+kPLyayLOtwfUtCLNEuZmIU0CdJCytNTgZTd0+Ox9LfZshYcOjAhocOtNhlQMePJQxpGTNbQM2TyrmW0K6pEgDAVKQGogTizDGLp9y2rP0O0bVvuGpZ5lkGXs3tHnTS9u89aXxmBaLK1Oc365zlJBBm1Y7Wa0eymrObhX+nCmqzjfyXjRped414+d56rddRaWZ1nuNFnpRKx2Ajp9aE5vp97c/HObt13xZzt27jg+Gg4Hl1122fMNpfL2Dwbgx44cZOPGjeGBgwd/4MDBA+956KHHxNJKT45iS39k6A0M7QGs9gXn+orT3YSbLjnPu354iRsuqbG4OsPiapPVTsRqN2Slq1ntCtpd65bcbkq7Z1jpWc53BWfahtmZPt/woi63XJGye7Niqh7Q6daIAgko4lRijMBY6A8BYZhtDTlwymJszB0PNRn161yyPeQl1/ZJzCp3PTLD9ZcGHDjbo70yxYuv7fOFhyM2z1n2HbP8y7d02Hc0YvOc5POPKF5ypWK53+HwiTmuvyzmricHpKMGt1wVsnfnkEHa4/aHFWSCQyc1Uw2NFtAfuKA6M5YkBaRBh4Z2z9JsJezcOuKlV/b5hhemzDdrnFueZmm1zkrHHZuVjqDdg3Y3pd1Lafcy2n3Lcl9ytitY7KbcfPkCv/jDC1y3p8bCygyr3QbtbkS7F9Lpa/oDSW8IiamZvZdea/fs2fvjF++95A8WFxfiKy7/hwHyfxAAT9NEJvHgzY8+8NlLVtrZr9z/4MPBKIZRbBmMDINhRm9o6A0NnQG0B4LzfcWpdsotV57nnT+8wAv3hqx2pllYadHu1Vjthqz2NO2uot2Hbs/S6ad0epm7WPqWhZ5goQdJNuK6Swdsmcvo9S1vfPGIi7YY0kyipSVO4M7Haxw/X2PrbMpTh2pgGlyxQ3HD5Yao1ufhA30WFptcfVGTqZkV7nsi4MZLayz1V1lZmWLLFssD+xTf/ZoeD+7T7NgUsNhrs7I8xw1X9rnvqYy5+gxXX9LjfLvNA8/MUNdNXnS55bJdQ5A9Hj8i2DSXcG4h4a7HA4aJQkrIjOWirTHf8OKYbk+xbdZww6UQxw2W2w2W2xGrvYBOX9HuSTo96PQzOr2Mbj+j0zes9i3LA8mpjqA9GPGSyxb4hR9a4UWXuotjtdOg04/o9AM6fU13oOgPJP0h9AYZ/UHKC264MUlS+VPf+bY3H2w2G38dhoF5vrH1vGcyB4M+o+Hw+w4+9+i7T504MHd+YYVWXaKkQAib/5bFYnHXo9OgQmRIqXnowGZ+9n2at7x0mXe8Zpk922POLk0RhXXqUUgjCmjWNd26pDUImG5q+sOM3iBj88gwGFm6w4jlhRonT1ji1HDqbEoUub8XKouWgv5AIQhI+5oXXCTYu82ya3ufUdbltgcVzx6c5fUvjLjhyhX+8DZLKBpctL3PE/cpts8oNkz1qak6cRJwvgvNmmbHZsFjz8bccFmdV16/yAc/PSAMWrzuZksQ9fniAzGfvb/JM0fqXLytwUVbMzbOxuzZkHDNRRlKGbSygKURRWyciYiTgG4/5KkDgStPGCh6Q0lvAL2hpdd33707yOgNLJ2BZXUAC33FuRVLY7rNT7xxgW+9ZcR1e5qcWZyi3avT6YV0BgG9vvtvDoaSwYhcxkGSwT33PhBMTc+/+6v3P7z8spfe+O/6/f4HG43G84qv5xXgo1EfED90eP8D73z6sS/PDXqrBFpTixQO2gIonpO/Y5HC3bXMCKXkyYMbefRAkwOnz/OWl/Z46VVDZlpTLLcbNDs1pgYhvZx1ekPJYKjpjzTDkWUYG+LEkiSWNHP3OA2xBqQSBFpQCwUzLcFsC7ZsMOzY3GfDbJvPPQx3PxogzTSvf2HAC67ocu8zCfFwipe8QNAeDDi/1OSWywwbZvrUdcQwVSx0EpQRvOAyTaM14pH9NV5xwzQvvq7LI/sV2GleeFXIP/+mZb7wWMznH2yy73iNXRsVW+bqzLYaTLegHkGgLUqCsbDviCDLBEkqiFMYJQ6Aw1HGYGQYjgz9ocklH3RGsNCTnO/CyAx57fXLvPmlbf7Z6wxpOsXZpSadXp1uP6Q70PQGit4wZ+4R9PPjNxxljBLDKDG0T53hL/7ytrnhKP2/3vD6V+her//7zebzB/LnDeDxaBkps39++ug97zx95MubItVDNTVxahHCIIRACokQAiFU/ghKGqR0WUStLFoZ6oFgoV/nI1/awRcf7fDya1b5nteucs2eHvMzDZZWG3QHEf1BkANbuXssGCWSJBWkqVvqbX41KWnRGmohNOqGuVbC9k19UnocOJXw0btqHD7RZCaqc+NVmluu7fDAc23u+OoUN19aY9fWPh/+kkCJiKlWwmpvhLGgBGyc6tPphpi0zptffp6PfLbB3nM13nRznzhZ4q4n50myGjddtYk33djh0p1tvvhInydONHj8SMiOOcnclKARCcLAXYRSgBAWY8EYS5LmF2tiGSU5EGMYxNAdClZGguUuCD3k+stX+Z5vWOXlV2XMT9VZ6TRpd2rOoRm4laA3UPSHkn7O3P2RZTgyjEYZwzhjFDsplxrF8dOr/PHH7tjUGdh3fvMbX2bPnV95/+ZNs//fALjt/WeyeAdy9MHv73XMr/TOH9pQ1wNEK2IUwzCRKAlSSKQwiBLkEiU1SmZIKfLl2RAoS6QtNS1YGSqW2rN87M4m9z/V4yXXrfI9r1vl+r1t5rM6aRrRH9boDQIGI02cKJJUkmaSzAiMFeUKEYWGRi0lCmPCYMSppRGffkhy8GTIkZOzKBOxd2vIlXsUL7yig4oWePJQi+0zDa6+GLZsXGG5M8U12yWpsXzuwYhRXzLTTLn1piF/fVfC8bMtLr8k4MzqkKcPB+zcPMt1exa494ku9z0tGMUhV+yZ44qdEVfs6HLozDIHT8GDzzY4cLhJQwsiLWlGlloAUuYizrqLNc0gTiHOBL2RoDMUdBKITYqxQ150aYfv+YYOL78mY+tcxHDoEmfdXkRvGNIfaHpDxWCo6I8E/aFkOHJ9o8M4c8wdG4axZRQbRgmMEssokZxeafOeD395011PnvyVZo305379Q3+4/8gCH/3Nf/NPF+A/+c7fhsa7WV393n82rZ/9Tds7O1MPZplpNQlGoLVBjTRKWpRUSCmREpQUKCXQSqFUAe6MQAvCwBAGliiwNMKMmZqgOwpY6czy8bun+NLjQzbP9nn7q9pcsXPIcNDj6j2WnVsUoyQgyxSZkdgC3NIQ6Ixj5yxHzgpWB4ZP3dvg1OIsNg6YrSm2zWt2b9FcvB2u3tvByEXe+9dNlpenufkKzdV723zxcYFIAzbNSpqNlH4SIq0EK1E6pD0UnFsWXGUbvOqFXb7ySJ1tG0JuvnqOH/ymRf7gs10e3N+kNwxYWm2xZ1udy7f2uemyLt/2ii6nl5f51L0RS/2IY2cCTp0KCZRASpfoMtaSGUiMJUsNs/MJ117VZzRKuGLniLe9asSmacVcKyJJapxZqNEfhPRHAf2hZjBS9IeKwUgyGAkGI8FwRCVJYsMwNoxiyyjJQZ7AMBEMYugkmkMn2jzy3F0brrl45jdvuXF38tHfVH+yeOyX2bD7Z/7pAbx39p00NnfEf/2Nf/Edg+6B933nqw42rtkT0qiNMEYhpEVK68CtLFpapFQ52KUrG1UCXTxqQaAzQi0ItaEWWOqJpRFbpmsZs3VBP5Z04yZHTjZ515/MgUkRacoLr+2zZ0tMmoKxBmtdEkcKgVQCHYTsPx6y72CNZk3TCiUbGoKN85JNc5ptGxW7t2ZcvnuVTCzxW5+Y4tjxGW6+LOCKizIGaZevPhkxUw+Yn7bMtGIadSeFjJG0h4rlnmWpndHu1XnZ1as8tK/Ps8cVM1M1brpqhh9+8xK//Ul45GCT3sCy2tWcW55iy4YGm2aH7J4f8r9/R5+pRpsnjsD+E5IgcMdOCANY9z8LaQoXbcl4yTUpWRKQpBHWNhjGAWcXQwYjt6INY1XKt0EsGI4Ew9hJklFscyliyrsDtWWY2Hz1FQwS6MaClVjSTTOyUUoy3D/zzTe33/dvH78oPWt/7i5rf/p8PyZrRn//Jt7/KwD/1T/4IP/q/Zeob3vRfW9tBIf/8Bc+eKr26FMbeNdPtLliR8+BawzgBq10DnTltLa2BEoSaJEzt2IUSEaxIYozRomlngc6cWyZSnGBTwpxKhgmklEWkWQ1nj3Y5PFnIbMWB22njQMJoXI1H60Irt4KU3WYbkpmW4r5Gc2mOdi1ZcTWjaskdpnf+sQ0hw5Pc8PFiot3SPbuWOHLT6ecW5rmhXsks1OGWjggkhFWCdJMIqwlzWJWejXOLQXccEWdF1zW5d5HamyeFTRqLW64zPATb13iNz9pePpUi9WeYbWrWFjRbJhpMjtVZ3ZqmqlGwsZmwu4bYqIgJdApSmXI3IGyuIsqSRTnFzRJqkhSRZwoRkn+GEtGiWQUS4axZBQLx8axcAwdF8fVPY7iStc71i7ALejGgtVE0B4ZzLDPCy7u8K6faPPqa043/vxe9Ucvunlfpz+46IX9Qe/E/xvY+3sH+C+++0/R/braKg++7QN/1f/gXQ+u1Iyc57YHRgS/K/iFH21z5Y5urq0NWhq0CtDKoKQDeqAVQawItCWIJaEWjBLBKBCMQkWcOKAniSVOM+eKpN49gzSzZJkhMzi9bSjB7YJX0BKCACItqEWCRiRpNhTTDcnstGDTXMruLX1azVU+8ZWYu56cY3Vximt3KXZvDbh055BMrPK5Bxs0A83GWUWrMeTJQ7iO+52W/khx3aUJ1+61nD2TsbASMhg2eMONXe55YsCBU4pmXRKFU1xzseEXvn+JO58e8Nd3bmCpY9m9KWOlrZmZUkw3A1qNgGbdUosMUWiIdIZWtgzEwbG4MQJjBKmRpJkgTQVJKolTQZJIRolzXuJEECeWOIZRkhEnhtgjjlFqS4A7ze1Yu58IuomknUJvlCGSHjdctMx//ZEl3nhjRpJO8eKL90fx0ns5E1/xslpty58ffeaPsouu+r5/3ACfrhs5HK2848jh079zz4NnawOzkaBpSJMaf3VfQBxr3vbqDm97TZe5qYyuSlEqQqsMrUICbQgCRRBowlgx0tIxdyKJQ0GcOLC7gBHiRDoHIa1svzQzZJlzFzKbOyW5WyKEKHW+1oJQC6JQUoskzbpgqmGZaRk2z43YONsltat87B7JH3x2nk21GtfuEuzaGnDRNsPurSt84quW5eUaV2xRzE5Bq5Fw7qjk/EpEuMcBYuO0ZGYGDhyxrHQMZxdrXHpRjde8sMun764x34IoDFFyhmv2Cn7kTecJ5Hn+6t5ZnjlVY3MnYdNMynRT0aorGnVJPdJEIUQBaG0dyAVI4YEcd2FnBrJMkGbkQIcky/3sJHOkkOT2aWqIU0OcB5BxYhnlFuQoEQxSQS8RtBNJNzHEw4TpqMPbb13kO17V4xtugNXuFMM4olkPEYNTUW917n29QVMjwj/F8cw/ToD/yUf/kiwz33/fg0//2vFjx6d2zCq6o4x2LGnLiKFSfO6hgK8+XePMyhL/8tt6zE4l1CKXcdQ6I9ABQRIQakMYKKJAOXAnLpXuGEc4JspZKc0TD1nmnARjXMBljC16OHNwO4C7AFYQaAeQWgSNmqFVT5lppWycGbBhdpWvPBvzx3fU2X9khoumA/ZugR1bQnZshst3deinHR7YN0VdBWycVcy0YKY1YnY6JQw1QriLazAKWe4krPYt7V7K+ZWQXVtavPiK89zxYJ/9p6ZoRAmBChFimr3bFd/7ukVedPl5/viOFg88NcNST7NpKmWmkdKoSeo1RRQIokASBC5WUYrcPnQot7geVmMogZ5mJl/dcmsxNaSZIU4taQJx6upxkrQCdpwKhmkuSVJBJ4XBIMWkQ+brHX7825f4376rTyMKaXfqDOOIURwyGEX0hyHt7qkpGdV+a2bj1eHDX/30H7zolm/6xwfwdruNUvKHPvSnn3jnqVOn5hthtV5KYQikoC01PdmgPVT82p+F7Du0wptf0eNV13fZvGFEt1tnMHIHZxRookQTh87eKwCeJJI4dctukuaedkZu/ZEzt8RYKnDnSVHH3KCVS5iEgaUWGuq1lFYtZXZqxNYNHc61+7znUwGfe2iO5ZUml2wU7Nok2L4pZMcmwZ5tQ3S4ykfu0hw+0eSyzZLZlmS6mSHliFMLlkhLpABrBXGi2b2pw4NkdPqKlY7l3HKdy3bU+LZXtfnzL4YcPRcR6AQhAoxtkqSSF+5ZYfd3dfjcI30+/Lk5Hj7aZPusYEMzo1nLqIWCKBCEgYtVtMIFzlKUNRkWd5EZi3NaMgf4AuRp5iSdA3vF7HGRPEoFgwx6iaSbwiA2pP2YHRs6vPKFK3zLy/u84UUGLRosr9QZJSGjOGQYBwxHAf1hwCjRdFfPzOv6Rb9y80u/WfW6nd9vtv5+asr/XgC+vNJGquAH77zrnnc+9dS+TUpCGAgX1FnHnFKAloZQCrqiRicO+MiXI+58ossNV3T4rte6Krj5mYjBMKI/CkmSgDgNiBNdBkppqkgySZpKkkyQppIsE2RGVFrbCEpV4v19pZzrEChDGBiiMKMepbTqIzbM9BgkA774pOWjX57mgadmmA0Drtlu2Ton2Twfsm2jZMfmmIu3r/DE0QGfumcj00qzcVow1RRMNRLa/YzPfrVGK7QI4YA1GGne/JIRn7nf1cS0e4bzK5odm1q85aU9Hni2y74DIc0ozUsWAoxpMIyd1v/e17S5bOt5PnJnh/uemeH4Sp0tU4LpmqURGmraEAaglXA5BVkwORTlRyaXasZUK1yaA90RBCSZIMlyYGeOtfupoJfhYp44plnv852vX+Ydr+vwwssyNs8G9IdN2t2IURIxip0MHSaa0Ugzit25SzM4evjZTc2pze+87oW3mH6//YFG4+9+rNzfKcBXVlZZXu0BfN9nb7/rVz93+xfnu502Ukq0soRaYG1RS5IHddISSUFXKXpBk5OdiNP3N7j/yR5/fm2Xt71mwK0vGTI/ExKPIkZpQJwEJElQOgJppkizPGGTVQB3bWxgTWVHFX/bBbAWrQ1hkBGFCfUoplUfkDHgC49I/uRLMzx1ZBqRRFw0a9k6Y9kwo9g4F7Jlg2TbxoRdWzqcWOjyu3/dJB3V2bFDMNPSTDVhqpEggpjOoMlMyyKEwFpIUslcpEhNSjcJ6fYzVjqKUwt1rrq4xY9+8yq/8qcRxxaaaJXkF4YmTWsMY8mW+YgXXtLh2ot7PH3sFB/9cp07Hp7hdLtOM1K0QmgGllBbAgVaunS+EOPVdQawxl10mRFkFtJMOP88E8SZSxINMsfag8ySJikmiZmv9XnDa1d5+2u7vPyalOm6Jk6bLLcj4iRklATEsSOjONGMEsUodoZAkrnGlNFwhQPPfGnTVNP86q69N6ed1ZN/JPUUzebfHdD/TgE+GAyYn21+y733PfTbt33uC1PtdodAK6y1aO2SD+CKqKSwKM+9CCXUlKCnQvqp5vyoxl/d3+Sup/rc9Pke/+rbu1y5q8OmGcVUQxMnIXEakKa6BHlWANxIjJVY6ySBLQNKkMI4+1EZtE6JwpRAxXQGCQudhP/2iRpHzs/yyL4ZrAmZrws2bbBsmBbMTynmZwI2z0u2zKds39hnfmaFzz1qePiZGa7dIZhtSVoNyVTD0KzHiGBEFGm0cn/fWsgyyWCkGQwTUiPoDgzdnmW5E3B2aYpbLu/x4qtW+cjna9SXFVomDpBWk2YhceJ6PDfM1HjR3h4vuqTHg688zbEFyR/fMcP51QYnlyJCJWkGgrCQYdIFniWRF1IFx+SpFaQGEiMYZTBMITYWshTSBKlGbJsdcO1udz5uvNIwVVekaZN2N2SUhCSJJk4C4lTn4FZevOQe09RdREopBr0Ojz745flREvz2nktvWBkNB5/6u8Tk3xnADxw8yNatW9SHP/yRS57e99xUPOrQqGussQjjsoTk2UJXZ5IXTGUCrSyBsoSpoK4EAy3oBxHDNGApbnDHw9N85ZkBzWjE//LGNjvnU3ZvG3DL1V20cC1iQji54rKSrlbaWo+5sQhpUcJ55pYUZMrTRyQPPav59AMtnj7eIk4btLRiY90y17TMNqzzwac0c9Oa+RnBlrmUbRsHbN24wl1PjXjvpzexdUazcQqmmoqppqDVSKlHI77ynGIYa4KmA5W1gjiV1LTi+ssG3P/kjCt8GmSsdgIWVyPOLc7yo286x8nFJe5/bCOBBESCAdLUAWgUS3oDzWyrxsxUkxdf1ueV1/b5rlcv8OwJw2ceqPHAs3WeO9wkFZrRSNFPFKosffADzzwnYA2psVhjCETGdBhTI+HFN/TYs3XIjg0J33PriHqoaNYcybS7IXESkKYqJxyVO1qaOFVljFQ+lnFSISE13YUu/Qe+MnXq9LlL3vCmt6nDhw9mF198yT8cgD/+xNMo1QwffvihH1DK/Fqvu0KzHuaRukVmFmHc4XS2nM2DH4vKLDqFQApXV5JZapmgmQmGGoaZZpBpBlmNbjfjVz8yi00TNm8cctWuIfPTKW97zYBdm2KSROR6W4LH3OT6U0qDkIKP31nniUNNhNYcO93g1LkGtbpiOhLMNC1TNcNUDVp1wXRDMdVSzLY08zOwYSZl8/yQ7Zs6ZHaVj98zxaDX5NIdlqmGotWQtOqGVi0lCGI+d3+NUV8SbAKZgylJJc264g03Dbj7UUNvJOkNMjp9zWpXc3apwZV7Wrzt5R0eebrBseUWShogyfVyQJI5N2kYS3pDTbsX0qo3aNZHXLljyM2XDzlxvs3RM6voIOPxw5o//3IDoVzhGpPzB60B3ESCJM7YvTnl7a8ZsGEq4/Ldls3zkKUBo7hFmrquqTTVJFmVPHLxkHueJE4yOq9d5u5W4XS5qsfUCLIM0izgzLllWrPJrz322IP9F1yz8w+OHXkq3r3nmn8YAD969DhBeO6ypYXT73nqyYdloCVCuIBFZnmAY9yjlIV7YVGZQKeWVIHOLEHqNGBiLElmaWSC2FiSTDAyglEWMDIBiYGF3hRffsJgyfjLB9zIBqzJ70UWL7fIyopEiVSKNNFIowm0pBXBno2WZmBoRIZGBI1I0KxLWnUnh6ZbktkpmJ9O2Tg7YtvGLhkr/Le/qHHvk5vYOw+zjZy9G5JWPaVRj2k2BtTrDSIlUTLX4Dg5kCQBw4FgMMrojhS9oaE7MK5lrhly8tw0L7tqxE98xzne/eea46sRQhisTTCZJUkD4kQyHAX0BorWQNOshTTqNRpRg1qU0KrHvPDSmDBIuPHSlO95bR+t0jwJZFy9vS/Kc0lnjEQISRQoIGQ40iytaLKskIIOzKlRpKl0MVAqy2C/ALZ7FKUBUDC3C2ILcLvHUWK5//4HZb0m3hPKwT39wfCpvwts/k8D/LbPfoq5uXr92f2H37pv335hraAAuBSWTLq7zNyjygOeVAqUdOBOU1f6mqrcuzYuik/zyN69J0iNJTGQGkFsJKmVZEaTmIgst738W5mlFKCFcEGtglrdUtOWmsqIAog01EJLPRLUQ0mjLmnUtAN4UzDTMsxNpczPjNg012PbpiXe+2nDh+/YzM4ZxYaWYaqpaDUUzQY06hmtesKZJcOhMxG10F3QUFT6CYaxZs8Ww5YNQzrDkMHQ5iwuWe1qWvUarcYM3/Pa8xw+c5b3fWo7Wmoshsxk7likmlGsGMSuKKpfkzSGmnoUUI8y2l0XY4RBRqAzgiBDS9coIaVL54v87kpXBCBykAvaJq+yNC6uyTKJMSq3YN1rB1hZBfmpcEDPRJkxdT+jei93aYpkU5FdVlrx1JNPidX28K0bt1x06JN/+cnBW771Lc8vwFsNHa4sn/+ZQff8z0RBKq1VZAbHljmwizqTzORgz4GeKRyLy9ymyr9salyjb5bbV5nxn1eVcs7LFWWg5GtuyFcMYUtLUuc15IGCQAkCbZ1vrAW1SFILJfVIUa8pWnVJq2GZbmbMtFLmpkZsmO2za/MSDzw34iN3bmO2FrG5ZZhqCAfuuqRZMzRrKa3GiAf2w+PPNrhkoy3r2Yu0+WCkuPFyy6W7Bjz41Az9kXWteQOdgzygUatTr83wna9Y5vHnznP/vi1gFcZkrhw2taSJLetJBiNNY2ip1xS10BCFAVGYEWmTJ81cibFSxm3BIl0chLAuRsppoQrORX58HciNEblDJUsbtgB5lv8sLV5nk2ydPy9lCWWeIs3PtTFwdmEgE878Z0M9bDYavwTEzxvAR8O+HI2GP//52z7y7zqrZ8J6pPMrEzKZHwxpSU0OaFOxeKbca50VYHYNtP7zMq1sKfW8yTNxRbLCWouXeR9bcYtUdZHQUTLPWCq8oi2X/YtCRS1S1CNBoy5o1S1TjYzpZspMa8T89IBtG1e4f/+An//gZo6fnOHiDYaZBkzVFc26olmDZi2jXksIgyHtoSv7DZRFyuqTZUbky3fIVD2hnxr6eZ11f5jR7UvadUWjG1GLWly0JeEXfqDNf/lDyVf3bc4neRmyzJBmaZ5KVwxjxSCS1EeKWiiJQksUKiJtCALn92vlitmUyokmlylC2PEG3Ty1X1yQBasXdfPGVKB2xCMdWIv3MpGvvsJ7Pwd0DuzMJ7Isx0dmOHLkZKh0/ad+6Ae/N+j1+z/XbDT+1un8vzXA07iNtfEvHTtw57/prhytNWquBkRKQSpx2luCzATKTABd2TxYKr5YnmzIv2QBbFN6tGCNJcvZ2k7cmQB4LrvzwJLcjhQo5ewynbeiBVoShW4AUC1yIxnqkaVZM7QaGVONhOlWzNzUgG0bV7n/2T7/5Q82sP/4HLvnnMPSqkuaDenYu25p1DIatYQki/nQ51tIpQiks0RLBrcF0wV87+tXuP3hmG4c0c8B3hsouj1FO9LUwogomOLynSm/+M+X+E9/ILjvqc0YK8mMS6snqSs0G8WGUc2Vu0aRoBYIotBlNkNty4ytVgapbN5YYl2jRAHwKuUJ4B1vUcqrAuDGL1zLAZ8aMD64SzDjPc9X48yOnfdiVcqMZN+zR2t/+ek7/+23ftNrxeJS+2c3zP/tvPG/NcBPnToE1r749PGH6zAi0LpEmBSCTORfSLrHEug5c5sCzIrytVGuGKrIrhXtVw7oLklUHPC83Bk78bkKgBc1GKoMakVZR+4ALgkC6eo3QkEtcjNPGlFGs+7APdWMmZkasHGmzQPP9vn5D8zx9LEN7JgVzDc9aVLTNGuufqVeS6lHMUEw4tTSLIESKGlyW64KMrNMkqaKrbOWNE3oJDXXKZNPEegOJfW+ohYGhEGNQE9zxY6UX/zBBf7D++H+ZzaRGekAnlmSNMuZ3DCKDLVYMgxVKcGCAAJdtPnJvBSZXKbg6vFFdQx90rA2zwSbnNVL8hGVVDT5czMOajMBbGM9YJsJovOA3huM+NLdD9WvvvLiF8v/iR0n/lYAv/uuO1jt2sZX7ro9DMUAgRtfoJQ7LDJP4GSZqOSFqqrYjBEYacm8L2t0AWZfhti8QMqTIwWjXOCzSVEVUTnHRpTgVlLmjRKFPIFaAFFoqNcs9cjp50Y9YaoRM9McsGG2zcMHhvyn35/lyWMb2Taj2Ng0TNcFrZqkUVM06oJ6zV0cLtUfc/8+QW8YUlPkF5nT4EUTQmYESapp1hS3XN3lgaen6CdOpgxGGf2BohspolARBmGun2e4cqfhl3/4PD/9e3Dfvk0kRpIYkzdLVz2Yo1AShcaxd1DV0WtV3Mlliudu5Vne9UBeJIVsAfDie+SZYn+1LYu5LJhSX/urs3+ebVXp6f1OoCUi6/DFz382fMOttzZuu+32/hvfeOvfP8BPnDjBps3bZu784l/9LjZ+xTC2RKE7eUWJpsqvWind83Ipsw7oxrvSjRIloMdY2wO0KYFdNQWTa+/yZAhXUCRkDu68yEiVAAeVVwwGGsIAwsBQC/MCqyijnsuLVn3EdGvAbKvDYwdH/Kffn+Xxo5vYMqPZ2DBM16FZEzTrikZd0SjZO6MWpbQaQ+56PGS1XWN2tkqTF4ApgrUkU2yaV7z2BT3uesi4LprYeCCX1AJJLdAEOkTrOlIartxpeecPn+enf89y3/5NJEaT5BWArjjKMXmUyLK6MNQSrfMiLClQujg2lJ+vuAgLqSLKUR1VQmjybrxHY7zHcuWtmLoisCqo9N8r/o217lwJDKvt/iuOHDn6/re97a0/dvz48dVdu/7HdoX7HwZ4e+UM/e7iTy+dP/aOZLhEvaZyjze/yqXAGIuy3vJkBLoEscfqpqiFKJY6URYAVeC+AHPnSC8ycqX2lkUFXaW7i4pBrXD1GdoSBK6xuBYaamFGvZbSqCU0ayNajSFz020eeW7Ez/zeBh47vJlNMwGbGhnTDZuDO2fvmqQeOfavRSmNKCY1I7pxhFCSoGDwUoPnF7rJC8SSgGY4dOUCcY3ZAuTDjH7oGDwKJYHWBLrYgNZyzUWWX/mxc/zk7xjue3YzidGMMkGcmZzFBbXEEAWWMHBtfTqPO7RyJcKuFdAdJydThLcCuqNaXph+rDMB7pKEPGIqwL0egMeJzJYXRvHvixMqhOD0mQX2HzjyjoceeuxQnCT/4e+VwVeWTjIzt233nbd/8NpsdJqppijtpgp3trLuTMXg1o4HjiZfvvzfNWMHTnhMUWUlK6vbVqztB5VeMknLvGJQkre8OWCH2pbVg7Ugy3VzQr02Ynaqz3Szy/37Un72vRt49PBmNk5rNtYzpmuWVg7ues3ZiQW461FGLUyZasbsO2q585EmoZQEyuRBXOVRFEt5kilSo3nVCxMuubjHoeN1NjZgGFt3H2X0hzkLa4XWQZ5HcN711bvhl39kkf/we4Z7nt7IMKkzyiRxamnkddxRgAO5LlYvU/a2SpWVK5ySwgO48EDOGr1SgdwjHmvHVtoK4JSxUwVs72fFe/7KkP9JYywCyf6DJwlrD1777//VD+8+cuTksT17dvzdA3x1+QxRffqiYwfv/40sWfqWQHYJa2pN5F24BAVIXbTtgz5/nsuT8svnWq4EOBMuyRq3JGfuSXALi1SFLejAoFXO2toSakMQGKLAEIUptTClFsU0aiPmpvusdPvc/RT88p9s4YmDG9iQg3umbmnVBc2aKL1y57wYx96hA3g9GhFnGcNBjZpyF5kU3tJPdVxcoKmdltcjN6ouER7ADWGYEQaaIJBuqoAMSoAj4Lo9gl/+sRV+9U9T7nt2ntPtKYZNyUxmaaWWWj5xIAps7v0XToot2buQKgXAy8+bf2gf59WsMXdSbHmu7DibW8bip3Gg+xcB4xgY67Zyf7Q76HP67PK3fOHO+7Jbbn7Bvz124vTR3Tu3/d0CvLNyjEGvfvPiuWff2l15jmYjwNrMY27hfdm8JsR6YLaVnVQegOJCMGJdKeIDvDjEviosToIb91Cwt61KAZQtC7m0NgTa5J1BWQnuKMzBPddjYWXAOz/U4FNf3chib5aN05KNtRzcNae7G3lgWY8kjcjmDO60dy2KgZgvPRaykoTMR4zVYyP8Jd3p8DjRTEWa19zQ5/79Md0kYjpv7B3GhnDkatVD7QCulUXJACFdggYLV+yUvPtfdfjM/QN+6QObObk4y2BGMxMKWqmhkUKUuNHLoXIDjYIi0JSiDIKLRz9Q9y9MISp2LVm8IB/P4SqaKgqwu3M8Dmbrr+Rm7b8r/vvuQfLQY8+xefOmtzabzQ/1eoOjf6cMnsQ9dNC49Oyxu//1cPUxphoWIbP8g3mZL6qkwFoAV0AvflZcANZ4BwQx/gXHHJNCd1MyS5FuLlwAVQA8Hz2h8+xdoN28kzDICIOUWpgQhQmt+gCt+9z1eMb7PzvFp+/dRGym2DQl2FBzssRZgIVPrvK7yJnbZ+8ErUd85ZkZ+rFma6P4PJMMXgTZkiRV1ALFi68ckBoH8EEi3CiG3NsejowLDnU+Gya390SeXLcINswI3vHqHq3oNB/47IC7n5nnbFKnX5NMpZamtg7kOo9DlM3jEpuDvDiGoqodl247geJYT+4o6IO8CPoLxgY8TT4RjJYAz4mOvISICanigT3NNF+452muvOLyf/2t3/iyRzvd/oGp1tcfCfd1AW7tMywc/WuCaHpb2t//ykZ4hkjXyEyW1yiIErSVJPFB7IHdrH1vUmf7gaS1Yt0UZdG0UEmTIivnKgaVpJx8VTB3oFwtRhQkhGFCLYhpNIaEYZ8/uUPzrj/axKGFOYKoxpaWYC7KmIoszQiaeYd9PXLZzlqeEHL1K1m+Ejh5stjJ6MUhoVKE0pYBZvH53UnMA808tR2nAfVgyJaZAav9FoNE5GMZXKwQBFlu86nc7lQO4GOBq6t8/JaX97jxqgV++Y+HfPhzG1lOm/SjgGYgmdKuBifSECrKZghdJH3ylU+WUqVKAI1p8glRPg70tRJzjXSZDFAZZ/QKH5Q+e2oUp090+Ny9z75ysZdtW1zuHLj30SO87IY9/3MAz7KMDRe99KKk+9h7R4v3MdVyZalJqsuahALUxsqKrT3mHmN247G0p9Wr5I2YYG0P2NiKTfLsm/QBLm0+u9Bn7iwHeUqonSSJwhFRMODouZT3fabJJ++Z5/C5WaYaAXM1mI0yWpHNU+8FuGUOblkmhWq59o5Cd+FMNUd84iuaA8fq1JRwGcPCQaFCeTnGwTodnqSaK3bDN93Y5f23zdNraKbygTpRnMcNyqC1zCd74YE88NjIrQq7Nkh+9rv7XLvnJL/36TkOn51mOa3TDzRNJWjkQA+ldRdO7jKVq19xXAv7EKfPK4BPpPUnQF5KzfVA7oG5fO2t9j7DZ3m+IDWuZW41DfjzO5/huusufe9b3nDTG88vdb+uVPmaAF/tZSgl+crD9+6I24/tvWL+KNPNefpD0EnmSieNqkBuRW7652D3g007UcRj8qSBB2xfb48VTnl1EkJUwC46g6qhQSZ3TQr2zgh06jp3dEoUjQj1iG4W856PhXzgM1s4tTSDUXXmphVzoWU6NDRy5m6U6XuZ16nk0iT3zktwhy57OUpiDpyM6MURs1Hu4hRJp4IBi+9rvZqURDPV1OzZEaOiId24xSAU1BM3gyTM5VWQSxRduB5CXSB4VWyc7vOj39Lnra86ywc+0+F9H59ncdBkoGvUtKKhBXVliVLr2Fw6qaJlVd5QZDknmRzWkSv+ufNeT/rlxQrmA37cQ6+Antmqu6iXurEUavkkw9X79srU7njZC1911NoYIcK/HcCPnTzHhvnWxtMLUx/7xV99Lnjvf5Bce1EfY3IpkGoyk7kWsUyWVWeVJMlZG1GxeRmMVoAvD4THcCW2RcUYTns77Vl47xV751VyKnMA1xlaZYRBQi2MCYOY9jDmK09I/uSOKT5+zzzDrEUYhsyHgpnQ0AwtjcjSCCtw1yJJFEmiXJq4xFDuTOQADwOX+TxyxnL3ww3iJCBq2jUBZnGrUtvueMWJm/vy2hu7fOQLPfafbDKoFcONLGEKQWIIYoNSbna6kxGyGu5DtSJmRpIaSSPSbJ4Z8JPf2efKXSM+fEeLh/ZNszBoMlQhQaCpaUFdQiRzG7WwV4umFMHYnUmg+wzus3i+oljGmbyQL8ZU7/s1Rq64TuTghtgI+kYwzAxmMOQFe/u8/povBHu3v/Jjabz6Aszqwt+awa+9bEYeP/b0zc88edv0TLhKoA1KxwSBAmFRwuQMLjFKlsxdMHnF3BMMXjK38KJwsUaWVBakRRZMXqaUTVnu6XS3RavMAVxlpRzROqHdS7j3KcEHb5vijkemWW63kPUarbpiJrBMhYZGYGmElnpIztqOueuRpBYqaqGgFpJX6Jkc3IYocPpb6RHPnYRT7ZpLrOT6djxxUp181wdZFChJ4lizeUpw6c4BTx5P6SdBOYckjHHgU1kuUYpEjZvC699KFsxtyCRz9eFvf+2AW29a4YuPdvnDz03x0L4plroN2jKkF2pCJQilIMr7Y7V0u9QpUV2kSuRlvxMA95NB/jn0rd2x/AaTQafAUFWOplY4cFsYGUFqDDaLwYxIM8O5zoCjX/zs9Pzm2s1btlxzG19jeNDXBPigfTTaODX8ne973f3Nmy45x66NGdZoN68DyHKAGyPJrMQamc8g8dm6Ajh23HEZA/i6u6l4tRG5HBGla1IA2+SPGUpmhIWbIRMWuil3Paz57L0tPnX3NOc7TUStRtAKmNIwHbhOnnpALjugHor8LvOS01x3h4KoYO8C4DolDFNqYYy1CV96JOLYmTob5gSBNLmOFVWjr89yBQhzSTEYBezeLHjtDX0++dWYXhIwSAS1wBKmjsVHifVWKVX61Qg5JlPcXVaNCsb57fVoxNtfPeAbblziL+/p8pl7G9z1RIvz7QYDETIINTpQaCFcC6GUBMLmUsuiEJ409FP669+sx+Zj8gTG9LbJGTu1kOQAT20xrz1zTc9mBDLh+PmAX3p/i5MrZ5u//JPmd6Q+fiUw+FsB/CsPfRUlVtk1fY43vHYEXUmWZPkoAycLshLUKn+U4+A27mAXS2hxr65w8XUDSgpQF8yd/22RA1zrjFAn1GoJw1HG/lNw9LTio5+f5raHpji/0oSghp4KaChJK7C0tKEeWOoB1AIH7lrgZhK6MlPp3UX+c5uD3JQgDwPXnnbotOHJIxEEQb7MWy9FP2ZBjDFaWTuduXHO1+wZcdWOHs+eajCoCRqpIEosI0Vu7ZmcvQs3pbAgK61S+uy5FWmMyqcPBAzjgHp9xPe/YcSbb1nl9od7/NkXGhw9XePZUw3i1Yg00gy1Rirp0vmAzh8LJi9lS04+kxQ16ZM7oOcSqnjMNXjmgd2N1jNgM3c3GdgETAJkrLQFn/9Sg50Xn2PQe3xmxwve8c/OLtn3b5lf/zK7IMCPHj8qur3+v/7533j3hq2zdb77TYKbLk1QYYZWBpOkJLEmzRTW5ltpl+MaclD78oSCwcU4sO3aQ1PqblEcPI+1hXGjH2RGFLlJqmmWcXYJPv9lzaGTde58oM6plTqHTjchilANTU0rmtrS1Ma5CEE+OD9w49ociIu7zO8qBzi55s7BHWREgWNvd2HFHFmAfUcbBHLcHiwlClU9eLlcF06KKfoaA67aPeDSTX2eOpzSTwNaiWCkIUzdsEvlAVxKgZByjMnx2dGv087yv5EpkixgFIRM1WO+9/UjXn5th1MrHb70YMjhExG3P9Lg9FKNbBBgpCYJFUJKt1KI/O+RB89QyRbvVPqavNAPvmtSui0U4/Ry66SoxbUZkDqAJxnEGUJnSJVx040x3/XGHpdvuWcm0m/6CcHwA7AuT14Y4L/5oftI0vQdX7iv3xyMZrjzwTpXX5zwyhtjrtyTsH3WcMlFI0IryWKJQWK8YfIGWYKcieAS67PZ+JVXMXclR4QoWqycvg6ijCSzHD4hePKw4vMPNHjqSMgzR+p0RhGjOIIgRE0FRErQUNDQhrrnA0e6qNMoymZdXXiUy5IwVIShzC8AW2nvIMuH7judXwsTrIk5tywZ2QitJaG0aM9mmyDwEuSZHe93jNMAgWbjXIxUQ3pJQF8L53QkVcGYm7zrZx59o116Za2yYnJvMFKQqXL8RH8UsmU2ZtfmhBdePGIQD/hfjrR56mjI5++v8eSRGoeP10hSBZHCSoUR0vtyMv/bvlaZ+LJjkWiRns4BXT4W4M4qkCcGTcbePTHb51Ku2JPwqhtHXHNxwiXbErL0AKb7Z18Lxuv/5Phzn+XZY231c7/3lBikKf2R4rEDNZ44GHH7/Ybp0LBrR8o1V8S8/sYRr7k+Buu85nrTYq0b20BeMWeNx+CUIeP4zXpsLd08cCEsQhqS2NIfOkY/elLyp3dE9BPFY8/UOHgiYrEXMspC0CGoADWlCKWgrqChLDWFG2em8sIj5Vg7DIRLevjgDiRhLkuiEKKQ3DVxKfNAG8IgzTOiCfVazPmVjM/f16LdjZidFujci5ceDtZ83SKbV2pxyWik2DCvuPWWIbc/NOB4u8kgkE6maAhSS5AUnnXuscvM2YX4s05kxZhWe3/DAT3MFJlWpIFyYx+SwFmpQUIzTHj5NSkvvnLEW1455LkTksf3BQxixYc/3+DI2QCEpD/QZLEqyjex2hflYuy8jqVwxwBuEalBGIvF+YT1ZkoQGIQ1vOaGEa+/ccjVlyfs3pEyHVo2TLvYxqaWbhrT7z4mHjz0evWHH7k9/f53rK0XXxfgUlqu2tN6z/v+9fHr/vi2c7z7Q3OMQnflLvRgoWs5smy570nLxz6fsnEuxRrLDZfFvP11Q9e9kVo2zhiuv2ZEs27BOIBfKCBxqRAH7nZf8PgTAUsdV7X3wL6Av76nxjBRDBPFmbMhRmgSG2BEAFojIo2WklAJatI6j1dBpCyRsq4GXOeer66YOyz6Mktwq7xHU5TsHQaGMCwKtLKSvcMwQamYLz+q+ORXW6hQO7ttTH9fmMELL9zpcEmSKYbDgDe/ZMCnvtLhw1+appfWaOY6PCh0eFIkZWzZLSREcSUVx1h6Wt8DuMk74LVj8kArUq3RaeaArjKUcoP0Z2spL7k85ZbLE6wY8bZX9xkmbpzbX90T8eC+kHokWOwoHn8qpNOXuUqa8EUnmcw6WdKsWa5/wYgNM5lrfMksb3/dkOsvTbAGNs4a5mYtGlfpaIwgG0mMMKTK8Osfq/OFh1vX/eDbNr5HCH70b8Tg1p4HNk4Nzr3/8qnty6peA4QCGRbFCeAWFEbGcq5tOLfqjK/njhv++svuuc0s07MZN18b06q7muCJyqk1ACd3HVZ7ioeeDOm0FVJLRkYystoxk9CudUhqhNRIKQmkoKaclxtJQyghVDmYVTWjz4FcVA0P2jUCFI3HPrgdw+dltUHB4Jl3T4l0grUxpxZD4lGNaFoS5mlvlVfljWUxi44expNfBbNmRhEnAbMtxc4NMaEYMkgjBqmgrt0QzKKGpEhoKemXt8ryb7m/kctFY6rsqTFeZ3w++iHN8ryBcgkylZKkGSpxYya0ypAqZccGk68Yhit3DYntAKkN7bbgoSc1q323gdh4iel61RYOD82a5cXXJUzPGGzmZGxDgXLlc271SSSxP6Ust6etSIhHcPxorJ4707n8l/7tt0297tWrnd3bZr42wI8cW0Kqzq/cf+9Tr37m4JD3fGojo6ABMvD0Vg5xmT9aB+rUWtqFppKWzorlzJ3e0jT2dce/cllBhcAKgSmGFpLXnApVBTlSooSbuRdJl3IOpc23ILH5/JOK8QpwB9p11Lut9yjB7dq6FGEO7lBTlpg6Bs9ZXBvCPDsaBAlRlHBi0fDHtzdBhwRSVAFmKU/EGgb33YViSKgDmxuqEycB33PrgL+8a8Az51r0soBG6jaldVWAturEUUVOoAr2ymNZrBRF8q1kcUGWAz3NJForgszNSwlyoLvEmdt1w9mSWR7cF9s4ZmhhETZjQ8PwjS+1ILNq815hmBDf3jm3TsJagTUak1YSNk0kSXnxy6p0wxbl0ZZMGJRR/NhbRmTmWbY2mq9eXHzBr4Qi/Rdfl8F/+r99GaVk+OV74NS5PVDLe7yEnLgyfS1VvDbj7+P6Lr3c1jppSj/3Wy2zxcUkpCxb0JSAULi0ciicFCgm1LrHoqnWKyTSeHNQHMhDXXXVVwCXpWyJQlu2tIWh8QbnpAQ5e4c6QcqYY2cFC50aQmsiyZg8KdPzXlLE94WrDiY/EHQz/uanRuzeMuDZsyMGmWaYQZQJgnwCmFagUkpnqcoXqLFOhaoASlbzZPyRD5lBZ4ZMSZQuti9X5U52bkiQD2yDEsVkLFNat0LYNffyE4gCA1XxXJW1Lth53ISoEoKiBHkFG6fdZxqGn/+BGCsPkw3/LIzWyfesAfjBw2eQQIKgPt1cN0IqPM1J28d9YDv2uD6wvR8J4ZbVfCkvWMj5rcVUKlzCQeSgzSVA8bx8Lyf7qhSUssE2VMKBfQzc0j2GBdCL4JNye8Iwb5IoJEqgnT4Nw4SUhM98pc65hTrBtCL0azh8B4UJRTpWYScmgkDFcOQm2L7ppT2+8sSQTlqjrzX11BDn6XQlq4KoouCs2EDX3YpAs6rMc9ZhPlPFQqbc39RGkCqBzmS+i50reyiAXgHcjgFdei6XnAQ4TAwUYg3Q/WQf+KCeAPoFE4HQsQ0sISI4va4EHgP473/4DqZa9Zd96C/uunF1IaERWWf/5f/OFGyA9TJSoiqYocpUVR90DOZjH7OsVKNKGhSJBIUDdjG7owB7MfqteF7UTWgpylEIPrDLOSjKdWrr9QBeBJyF7taFLLG53h6vJQ+DhDCIOds2PHKwDjpE5/JEewVKRbZPTCDcHRuvfrrsS5WlJ54kATdcMmJ+ZkB7pUE/VTQUBKn7Lipzg0tV4gMcB/LyD8k1dT+uRjsvq1CGzAgCI8iUJFOGTAnSHOSpV7xWlEPIwiEqQJ0Hu0JYJM71qsBdJYHwE3c+340B3K8mLQBPZTWXz/OfIzCZwBhF0Ji5cW7rN7zs3NFvvHfzRdWWKOMMbmPikf3GZphdH4mYWk2TGlNmmqpimaorx1n1vok/XmDjg3sS4LLwu6mW8wLkcp06iGIcRSEBVF4DXpR6uubiolPFyRJVdq9UwC6abx1755pbU+rtwhJ0jF2BOyirExMECZ++J+IrT7WQkSaUws3fLisIqza6quJvMpvpj0YrPHFXoTkYBtxy9YBvenmX9326RZxF9DJJLXN75WhZVSuWMkXKnMX9P3UhJgejZd7dLkpwZ0qilHGMLmU+WqICdwnysZKJqoyiYG2/MGsS3JO3CiceW9tKvoxdoBQJMlmWG8eJoYa+vjYcfaMx5t51GfzY8VNMT7Vu/Yu/+vx3d1cXmW5U9QDV+LSqtayUJhP1BsUHHiu6WWeBqU66HWO6AhDKq3mQAk/XVhpXKbwh+tXkqmJMRMnieTdMoMbB7cYpTDB33rMZ5u1tbpe3Spq4e0JMwp99aYrMRqgye+kHmFVfY+FsjGnwgiTKdj6Jye1CF2xqBAFvf02fD31mxKpJGGQ1BpkgSClZXEqLTEVZdObswkktKqtz5dddG0Gm89kkKge5tijj5EqmLCpzFYwuwJQVoAsWL9hbVJnnsiHFy0p/TYCX/yfWgL0Cuec8ebmDNHMbka32Ooj66Lsvveo1dy4vnr59bsO2cYAPRzFaDy9Zbff2drtd6lFAku/XUoznyuREC1IJZv+DjW/Tt4a2vZe+Pi0OivSYz38+qTkLJvdnexR70qgc3EpNDLvJga2VqJyU0g50HfeuMdnmzF0FmNpj7yiIeeSg5MDpGlYFKCkJpXGSyq/T8L7gpItS3Md7VasTl2WKJA3Yuy3hqot7fPW5OokKGaSCmoQgs+hUODkn8i6cNNfhSASG8T+5tpPKn2OSlZWNrt7FgTtvZ1PWA3dRC2TzMoEc3GWV50SQKSbritan8GKyrW+jWgBTSeGid9d4GeA0n2Y7GPTIkt5ea0aXYOPb1zD4wsIK/f6Qfn9QMiC4E1WwuDIeA4wxtl0jSdazvCdriP0hM75EESWLV6CXnjRxMkC47vkC7HmnS8Hkxb6X49t/58ztDf9x3faUwC6zlSVzZ4TaJXZcV1CCJeHPv9RgaamOiDShhMC/CCdrUPwr2yOGstnWq+MuvWmjSBLNhjnJd7y2yyMHpxhlNfoqpJ45LV6UsypJDu5irTC5J+7s24LF/cYS5497TeH5nBptyMFTrEgWZSzVNFpZPZemOk/SeiTlA9x6qzXle2sx7sk3X46MyZLiwpTe4E83e9wYQ5IM6HeXSJNh+d8qAf4nf/YppJQsLa9Sryksbi+dNKsYs5xn4Z2U8gN5H451nvsMNj49qbrK/czfOHvngM+93lKH+wyuqsdKrkiUHgd4qPMBQEGxdWCe4dSWoEzFm/x5NnbXynXuPHMMPnZHi5EMUVLl2cvxmSyTGcxJ4vKP17gOz9kpU6SZJso03/H6IR+8rc8Th+skKqAvJWFmcvdIuB00ytXN5u1l/jJq8r81vm+Rz+QVuN1kX20Kr904KVT2bVZdVCpn8FR4gabwQO2DfAwDdgwPvktSlatUpdRjo5yNl5n1RjVnNuT0yYMsLy24akQf4KdOnWbbtq2NX/m139mzvLxEqB14RT7ZSGbOzzbCkycea1dd8NXZXM8VLF6M9Vauo7/XShRRAqdic2/cgTf+wJ/apHWxyWuuvdUEuIv0fVA0Jhs3M6RsESt6OtP8nqCCmAOnNN04BKVzeWInymPHv9caF8WOn7jxJIzrxqkSP5pmILh8+5AnDsRkJmJgQmqZq9nWuQZXwm3W6hJLRXBnKFPPJZNXlZ5F76P2JhwYm4/ey/J4Jt+dQppqQkAxdjn1ptOWQeeYFq/A7Z/3cVy4CG2M0ydWGjwS8I9VMZfctf1Bagyt2fk93/CNP9RYXPzB/oYNWxzAz507R7fbef2uHRt/+umnnyYKJKnJg7wsB5ixGFktq36QWV2F1nvuA3otk4+dfMYZuxyeKdayovLGso09qmrIpvRkib+LcaDIvXAHbgfgaihQ4MsTn71V3tcZxix3Df/3X7RYGtQQUeDkibRjq0o1OOfCgZW/8lkj8p1XfAZ3jkqaaqYamh//ti5ffGSKpVFILDUDKQnzHspq5EMBKFGRiDBlGa3F5OA2WCTjzorIGdyWErUAu5IiZ3BbujapqObPFPq7Ym9vUq03AaF47QO8CLz9VW3MIx8rbWAiZ+D2+UlTSZLCqJ+wdfeGnz5y+MC98Wj4lyWDHziwnygMOXfuVN4JrrGpl6HMAWcMGOGP6/JylOtYghPEXQF8HfYuQV289rKBBWgKd8LJFg/gqho/pjxQaynRuSTRJcALzW3KoDLQpgR3kPdyVh35DtyBSgjDmI9+KeDpQ3WQAVJKouKki+okV/2L7stcsJrQIwkzcQJNzuRJpknTgGv29vmWl3f44G01jI4YyJBIijLpo6Qg8Wd9TzC58Jnc17c+MypQ1q0KxgoH7mJKmHGbGlRjJdzfyry/6b6/KCce+OZBdf6r4HPdi94HOJWcKueT55MZKoDLfLNaQaefcvToSYaxIkncxhAaQGuNDgK00m6qZ37lWukKX4rEqhAgC+1dnqB1lpj1AG49Np/o7SuBLr2kj6CalSdF5Yl/XYDLCuBloqcAuHVzsnMpEqjKLQm84UCV5nbsHWg3tWqlbfirL7dYbEdQCybkyYUlCmKiitKPXSZtO88hMLlESVLN7JTim1/d51NfGbLUi4iVZpDJ3J4UuXsjSolQtclVOtzaquvHlGxe9UrqwllR+fMi7pJuKnB13B3IVa73i13z/CDTOUjFY1HbmMcGX2dl8wnAXYzWuxgLEihAns8ez3eSkEoTBEH5vfWhQ4eYnZ296KGHH/6JM2fPopTCZsUVKvI0Tl7KmrNNsR1eoZX8K24NsCc1l8BLzVeg9kcrjM3Hk1VwWR1gX56IsQ4XN9ydcXAXOxsUzK085l7D4MW4iWrkhFYuc3nkqOC5YzUMEUI690SLqnRg3EGpyg6EdyDWzxkIT54Ug+Rl2Q6YZhqs5ordMXu3Dll6to7NQsfimZMp2nNxSg8av9ArF9xFGS2412X3Vb6SSG9wqhfbqHwctvFiISOppvkWpFWCvcpjFLJp/NyvBXqZ7S5wNXZ8xoPjAuTFkClrLUoplhbPcfHey37ixhtf/NjRI4eOamsNcTzaoqW9ddBvo5QiSauZg1KQxykiB7j1/vC4PCmerpfUGQP4OlNh14DcA3XF3OND7ctHRT4KWFQ1KWP3fEtr5YPbA3m+X32gctbO2Vvlr7VOUCrhM19tcWCxDmElT3z3ZPL7TI6LWI+lxrcIKYBeDVQqy2hjzcUbYt50S58Hn2mACUgzp8WDLB/ymY1LpVKqlGelsA2lMwk8Viyfy/y5zFcVWdzdsc/yFUPKagZ8teKCND6TC08uFViw5QV/IZxMOnHjKfoiVqlyMcW/FVJx9twyo1F263A02pKk2VE908xoNjOmmhlCZQw6bn9LY6p/KMlBPnFlldj+WgAf019+sFGBetw58V9XgHagr4BdsrkSXhOuB+58PmG1bQdrga2rAUHliDdtcpCnTp6ohHoj5qv7FX/55SaDYQgNjZaCQIxLk8kA04811gV4CXJ/qtNEwicPOJNUM93SvOVVQ277Sp8H9ofYZsAgi/IKy6I4rWLPyqoT3plxIPdbBV3wmV9gyrF5Jp0eLwCeeYk1U9qFwnNQxDjYvbhqTIcXn2+yWdHDyZpgs8RbFXQWF6UgH5WtoSEMlpjVXspK19LvGfTZ5QFzRrLv5IB79g3Z0qjTiCzVYHmnpZS4MKgnX673wSsWF2Vmr/hw/lI6zuLCCzAnnztgyyJNL72ASPlls679rRihrPNNmLQaB3pQsrW7K+UCzDCMSeKM2+5r8MzxBgQBQqqybFdNBJdCTqxK/sXtn7jS682Ddn9zJyuqJm7PLoxjzZW7Ut7w0h6PH60zSkMyGTAwijBj4rMUXjgTDO4e7cRnQRUXm8EogSqCOymwCqSt9Hi5okqQxptlaKpVQxbSU3rxwCQWJlb2r3WblHQF+IuVUmnDXMuwY9MKO3e0qYV9FD30f/n1z6K1Zmm5Q9LXZJEhzfePL7a+K3Jia5hoHe3tf1jhvTnpmlRXsgdqjwFL1hYVY0vpgdsb+atKxi4AXk1OLSVKztyOsW3J1Lp8rJ4HeXCpVUIUxjx1THD7Vxr0ByE0A6QoKge94q/1spieHPOPSFGLQl74Pz5beyLh4xVgxUlAqxXzhpeM+NRdQx4/HIEOGRpJmGtxZUBlvv4FkVEG9q5A3zPnVOXkaEUlXaRj82JVKTLJxjogVztWi3wXazu+guXvCeNJ0jLeKgLOccysh/H1yLR4S+BSL1I4IlPaMD9dp5Y8SLqwH0yGHrYXXXYwTZlvuQBtTaLib3CFrQdyP7iadEzGAF6CeRLgE6ydp+eLEb+TrO2mW3nPtT8ffALc+T0optDmBf5ape6uE4IgIbUZn763zt1P1V3zh3QNzYFXwjtWGuvf/RcXYKUxuzW3wIpm5MyKMtAsgD4aBrzymj5velmfp4/VSNMAKxQDoQmyqoZeZJ4GHru01jK5P8ZBqYK5HZu71wJpRKnDlXSMLgtGL86XB3ThncsCD9IUGUzxdVh8PcvCJwq/zqWKBbNMstqpk2QGrbtYa9GzLdcCFscZo5FrCFCe77yWhcbI6OsCXHhvTAaU4zrNA7fH2kJOyhM/Te/d8x0LdMng3l1Xm6AWgA48UBfOiXNM3KNSCWGQ8NhRyce+1AJCkAFCKIIyuWPL4qrJJJXwzpgoT44XoXhB+uR46fKeudY9VxaqyvS9tZq3v2bA5+8b8tAhN0kgMYp+JvKCrxx0WSE17Tosmdu71joW94Ge31UOeiPz/XyKoNh4mWWbf29bEZSTKkXg51nME4B3ILUlZiqFsD64Jn9eWJJIt5sysXC2qg3RKnAAn266lrBYSyTF1NJxF2P8P/61GP0Cy46odDb4Ntp6ABdlsmBcmuB54eMgr7bjqMBdDcCvwD3G2t6jLvS3KvR3ShCkJFnKnQ/UefJgHYIApAsuQ88aHCsrkGJcnowdpnFoWe9J2QAxaYN5NRdG5dnNTDOKA67eO+SVNzsWH2SOxUciZGhAZ5VtJ7PCLrSQTVxkub9cMnnxbs7gVlmkFSiLy35agbDCyQIrShYv5aWcOB4ChPGJbXyue7mSTwD4QkF5mW3x1IUV4/U0cSKJM42SGotFh4EDOFaSaFnt51iAzr/aGH/hf47xQho/QF1HezMObJ+1x4Du158Iyr13qt2Lx4Fdgb0C+Ri4vaH4pXuiMpT2AJ5LlFAnHDgj+MPbWoySABpBLk8oW9PUWObQc04ml7ALiEsf6GMpaW8DAb80tNLimmYk+b439Pn03U32n3IXX2YU/Uy5KsMsT/7kJoHIhOdcVCAvws3Sm88DykI6qVyjS2Ox0o1vsFI4gBvvnFlK5q7iKbzzWxHgmkRY+Vix+ZqaleLfT+BxzJwwbiaPQaK0s0LVr/36r2/Wgf6/jh07foWU1kuaFJZTpX99X1qNAbFi3sqv9nzq8n1v9K+UubVXvJc/Kjlm+U3ei5EJvsetCyuwdEnw5Ig3DN/bq6cqpsp3f9BJ2cwQ6JhMxnzwrxt86PYZiCJQNZTSNJSbuRIqW1YmBkWTc94aV2VSvfIBKakmwzIWoBbfVXoZ0SKOEBKk8tvF3HNhDTu3xJxalDz8ZEgq3OQBIxRCuFJaf48dITzC8Vfc8UV/bcmFn/uoeH9No0uVvPKrAL2EoPf7k9uUjOUC8OdXejMuEWVtCrbywMv/hr8dJZbLrnjBluuuv+UL+vy5UzNp3H+jsCmh1uUVLbwjsUaeeARlmThw3gEcN/h9O7B6LJIhlf5mnLk9xvanRVW7qBX6O0+Z+/KkBLe3EZWyE5KkqBQs2Dsh0AnPnZZ85IsNkBqkY++yc99vmxPeZ4UJQDHG7G5NHWfvquDKrw2pmhC0dSPYsmKwaabIVK7FM813vrbPJ+9ssO9kADLGCskwC9CIqjZEgMhyeGaiWupLHV5IE5v3Orp9TovfULnT4zS4ky2yYG3r/oY1uT9uKwlqJhjcGQprzQsxhpl1nLhJBTGhHiYv2sEwYXG598bUnprRaRJjstSxih6339dbWdfTR6UkWaO/xwHtg34s6PA0W1kVN6G5pXBypCqX9cBdMJ8XWCpZgbvsEs9HD2udD8sv/G6VomSKyuVJplL++t4m+w5U2lsK6bzvsoNm4vN6J0qOgVysOZZ27Pl4A/KYJ+5NpNJGYDJJJosUvpMqV14y4s0v63HoIxFxpkBoMqEZCIHOvKwmlUSpmucqkFMycBELuEelbF6T5H4uLE6TC1ul+AUY6YBvzHoSxQO7H4CuA+51Hy8I5vXxmaSWwTAh6Mfobj+jN8zy2gPvn/5NPG7vBLLmg44HkVClrgViLCCZfPTLY4vNpdwSTtmTqWSxH6YHbjmuvwtwF7usqSKILLY4kQYtq6H5SmUEQcLhM4r//okphjLIGVx7XfP56rGmuL+KMS7IDj6wx5bv3M2w/iZdwkv+yLJWvAB3ZjRpFhBlKf/irT3+4s4Gh05rUAkYTSICBkKgsuKCc3q8KHZiAuSFN28B7etyBDIHu5S21OdKVoGnydncCueaGOH+jfFW5cmYq4rJqjjvgr74BeO98eNZ3KSE6QbMTYMOQ0kUuC2jQ13Ms6sSD5MIX3s1TbC3r/XKL1L9TpHhKi1I1gK7YgBbOSbe83KzpHJHNVsyeQVuM3YvQK3UhGuiivFkKYGO6cSG931qilPnI1A6twZlOWDI973L57AuK03uM7ku0PG1pLcx7tjWi8XgHjk+BUsqslSzfeOIH/6WLr/8hyHtxAUE1kpGRjnbMBMlyMeCTVGB3JYoqdhc5TjwJYqVVXVfAXhZJIBEJVGsJ0WMwJOirFnVzdeQK+sBevL1WD4hP6CjRDCKBXqmpbGJYnbKzYBO0mKy/oWbh8X4/41djWvlyWS0y8RV7ddxMFY8PyZPZBGE+cGYLd2TksF1sZ1JBWgnR4phNpVUUSotH7VK0FHCxz8d8d4/n2JkAidPhCrlSdlUvF6BlXcc/EmvX4vO11YUTgZvRcreYowps5tlCt+4rcBrOuVH39bjuWMhH/hrp8VBkQnJ0ORuSlZ8LlsCuzp71Um2ZXa18MLtWGmBLIAu8uBOuAtBCFG9J8l98dyqFBabA9rABdL36yR/LqjD1wd4llmSzDIaZay0M2Rg0Ds2psyEKaN2ymJb0x345Yl+IHkBJl+HpWFch3IBcI89lnbgxK7FnuaW64K7ALipgswCxB7QHUubqs5EefpbuVmDyyvwF19ssDIqwO0AHshqsta4PPFXnspWXeOBjyu/dTqhfDfBK53N9bjf6WPyDb8yKVFGYYwmzTTTYcZbX9fnk/c2WOoqkAkYRYJmKERZp1JUF/rnpjjLFZ/ZvA/AvWGlzQdiVl69khWL25zFC4AXSR+bZ1Jtee5zCzm/QAq8jDdnrBPTTYL7AgyeGctgmHHqfML0ppQRKTqTfTLZJaNPmkYYU03vt7kxb5m8ii78AdbTWJNSZD2vdDzF67klwgf2OMClnJAmcgLcOhsLMP1NqhxrV+wdNFI+/eUaDzxZx3jaW0npFVaN15tIr0puDDDeXUwcu/FbDqyJhI9vm/mbo5ZBp5UoW/niaRagTcqLr4n5ppv6/PFnQlAxCIkVgpHRKCFQ4IF7nLknmRwfzOBJFI/NS4mSrz6SUo8b71ybdQLxAvTkjO6vfuXAoAvEe2sWxyL/I9yYEHRKqhISmaLvfFxz/rzmuWdg54aUWqSRqihDFOtePZMnbVx/rwX2ePFRocHtOoGmtwGp1/9XAFyvx+KeNeiDu9hOsBwiWTC39IAunXsSBQmHjkv+8NMtznZDt991Pk1XCaodGybua3S37ztfgG3GmKc4NxOert+MXLG5xHoyJcvc/jnu0W1/srmZ8f3f1OPeJyMOnZMgEkBhkAyF9DaRgqrg6QIgz1m6eN9K9xNpXT14KacKTV6wt3RtjVIIbLFi5KtAuXoUjF3IuVwqlLXrpXyZ3BrFemFDlfQp/juBFsy0FFfutVx2ZcrUdIrWWYDKQkwSkGbO5ywPhHdllYfgAqyNB+51dTf5EuUFmZPAFmOAHtfeRSd3Mb6gArgZA3gB7vGA0njATlEyQ+e2YBgmjDLD7350irsfqbvCYqmd9pYy79qp5q9UF6FdG2Cy9gL3oeNjfW0Gs3ItCvCYMWlivTJa125mCkclM6RSo1LNK18Y8yNv7/DzvxsySqXLQBlJmrsq0kudV1nncZCPJXJswd65Xy5zdhdFQif/3RzQ0uarv3A1LMXxstYD9XoYASZbGSk6gTxiLf6vCpTd31P5BaSUQNNAmyba1NHbNihCNO3NAVGt2At9XC+vOVmeBl/XsJ888d4XGw8u/cE+tmxPK96v3BJvFkcuRZwv7mvx9cBtyjnXxYxr9zotGTwIU770UMAn724wigOoa6e9parYu7igvh5zeyiuVMr6Tcdjxfw5sIusoV98VUkC1pTRSuOkSgH0NNXUGylvfeWAO+4e8PmHlLMNhetaSIRmkGPU4Wey28dfpvPXZRtnpcsthQ9eMHjB2nmNSiE3yXW5p7EnY7FJt62aBsDYCjMuUyqWL/47Wf6T3hB6fU00EzAbB+jpliCLJbPTCiHkusGgz9iTLC4u9Fo4LpgsfAePsctu7IqxJx+rKUqUYC7ed4MhbT4JoNhSsLIESxdFGk+y5Npbuimxqz3Lp+9tsP9MzUkT4UpiRZnYwdsQdS3Iy5Wn/P7CA/rX0CcFuG2BgolpBROp66rKULqmBK+MVgqFzNw0hGSkuWxLwje9vMcD+0Lacd44idPjMQqJZxuKdUCeA9cPPAsdboviK5FffKVlWIDZsbsps5yFP14dm+KcWygbRAowT+JpvcdJrNn8ejTGkmQwHGasdFNkkKJbDUiGlkaU18Kvx8x87T+4BtT587VsV02SLXS2H6yNgTuXJGJsqKWd0N/VeN8SyGPgzlnbeyzAHegUQ8YffabOez/RwgrtfO/cOXHsTaW9PRvTHwq6hrkLkHtkeCH2Hht1x6T+tqWzUrWyFZahB/JMYfL9SpVxWwRKZfjRt/Q5eDrgvZ/UJGleY2AkBsFISJSZKOEV4yBX+YdX/lKTyxqbB5ZFdtNKdyHIwirMz2eZBBIuyymka1wXJauDyOyaFRGb/yw/QMIDYFGRWBy7CosVeAejlP4go1bL0O1uRqdvSI2b1zfJ0pNALp5U4LdjF4NfXlsBfUKiTALbe6/sDJfjUqSQMY65q2HsxesqoCzAXu1Zr/KdClRuCSqZEIQJB89KPnlnk14vgLqq2Nt3TtZpS1sjVbyLvCTuv0GSp2DwNVN68YCeNxrYootceq1tssp0Gum0uJSaJMloNVPe8qo+t91T5+CZXPvh2DwzgkF+GQoBwhSou7BcsYBV+TgRkTM3zn4sLk5TTGIQhU1YMLjIa1h8OVcMB5rsIa1AXGLPUrorJQ7Hjm1VwQquhbFRkzQbEh1nNdIsdEuP9K8W99+za06SVxpa5AwmAwYf+D4YyrEGPgNO+N7lrGk8eTJhDZY7DRTgtmMMXg5sL2SJdKytcybXOmWUGO64v8kXH6274eAycACfYO9KmlQBU+kEMa6/JzX4/9DNQ/fkNKeqhFaMldC65E+lxzMhkZmTLMlI87rrY1734gEnPhswMq7aEOMUeIZmJCiZXGARSrjlogB5scKInMlxsqSs6MhniFhEaftVdqGo5MlEoFn0GhQ/K1i9bM4oj7EXv+S/59/Gk2kV2wspmGpFzM400Hv37Fw9fTK+beV88K1Zlk38o4nbOhpoDNzrFLQLOcng488nNbco3JIJSVIyuQ/uMWlSpOlNaQcW+9cXqXgpXaeODFPueijkXX8wTWZ15ZxIjZCSQDDWkjbO4B7IpQ/0cSaftFAvxN4lizMpU6yX+LHV7hlFoCkqR6VMAAlFZgzSaNLU7S/0Mz/QYf9JzV0PSkyYs3ihx00RNvpyZS1zq7IpwJZOSvG+q4J0teLFiu0kTJ4llFVpl7A5w/s9oxPa3P3ZAtgek/sfq3w1WUviVhYpFULVb9uwcduqevELt/e67cVDUvIj1iRlLXhZ8DRRNTfmA0tPXqxX3qomkzRVg26RXpdrmhZ8X5tqalQuS/SYNeiD26z1vr26E+X1Wp5cFrzrD6e599Gm25RHhnlJrCuqqkvKDaUCadfWbo/d8+NVDskZv8u85l0q/zX5CpVLHr+vcSIOWbdGx9tRoUqW2dKJKn9mLRvmUyJteeCJkNXB5FIjyyniAi92mAi6qmt0vHVx7Yjs/DIRk7/jiwn/Z6JURWW3vPdL/qiI4u3CtsRaN+nY+HEKGGMIwoiz5xa//7Enntmvk9TRvzUF0OzYf2yy86S6ita6J0wMsR+3AtfqbeEzuKjckup55X2754UssZ4UqcBdypKxADMvhc2fZ2HGH35qmr/8chNbU27Zlk5/l+w9pr3H9feajnlvOa0OzNrzvnYxXft67Hh77D3ZGODr71Kj2yqVnwmJNIpMaOQg462vHvDM4YBf+X1NHKWerhQYGzDKW9GEtQgrvNa24iR7mMjlSmH+UGQ3KRwU8i4iKi1u8/fHpEmOCcBmEzrcY2ohxoPKsWNmCxdn/IcSp8ONsegwcJeQldbV9Eq/N9C7yvz6Af+krSNNfBnijy9wM6T9ZX4C0BPSZNwmNJ4GN548sSW4danBs7G7LGtOMj7/YMQffLbJMMun4Mvi7rKWZc1JGROsk5pfA/R1Ak6PACYW2YkT5c5eMUbCTwBRAtufeuVaxkpPXHrJIGExWSVVhHByJQoMP/CmHvc9HvL5R508KQJOEBi0A3meQMmN5fxjV5pc5eixJndQcklRXpAyv5sc0MJlQGVxcRgfD+NAd3+2slhd+W1uG/qrgCA/XpMBui3ZPU4tUhkH8FYtBSExWUaWZWAlmbVuvxjjbTY1ttTYMbJaL6Hjg7uyAX2Gz7fBEGtZ2w84lbcXTCFJJvV3AW45ltBxjC3zAFPphP4Ifun90xw+FWG1yjOWLrgUwrF3OJHUkYwz9xiLs/a+JsocQ/lEuO4tvdjJE1Zt+FXN7p4gnlKPux0ZhDRIL/FjhCEzGhkbLt6e8HP/vM19PxXRHeZfwJQpHzKpGZliJSpAnj9SdPrk4CqSP8Ih0RYJqWLHCpG/Fm5FsLJwVQqLcC3QpXCtZlgP/CW4PRvQj1sspUzJis0ZjEUMMuLM7Sint2+bQkrFcNCls9ohNc43TYvzUcyuFmsX17EU/BiLVYD20/HjHvL4Dl3+EHXfPZkMKscYXPp7OK5l7SJbqXVCmsFvf7zFo8/WnOctq6QOQqxhbyWsV4F3AZaelLRlH6S4IF+vYfJ1ZGC1BaNdR6pMJn4q29AaiZF+0Jm3uAmNNIYbrkj48W9v8xsfnSHOyvC4RF1qFCPwmJx8bn4lU/AdlXwJt3kwWsiSEuwFO1OB2C9j8IFeHFiZ48wWlmKhEnwvvpRxDtxp5sYNphmMYkNjqkmjNeW2KL/ium8kCFssnX2cw898ijhrMBi5AntpBSavO8hXkQmNZMdPupewmWRvMQZiPGCPb2LkuyayBPTkVnZmbINSP4kztvV0zuK6lvGF+yM+8PEW7UEAofLAXbF34LO3FzT7LkoF7HVmEI4FYaJ8LSYB7VHFenq8rMP3gV1IkzEPPE/8yLybvEgCCZtrcYWUxtWrpIqpmuGH3tbn4acj7viqgkbqUGYKXeDmbQ/91UbafKS4Y0SbSxSLLe1CKx0Jkp9jCq+8uFP54UUzhMzZWZS/5wq0Mu9C8LamwhZOi2VsxTNFBjOFQWxZ6WR821tu4hUvuY7VdhetlEQqhdYZ062OGyie1iHfeq78qusBm+K4TASXnpftt3VVGnt886IK6FRd46U1aMYAvxbcVVODHNPfLqEjdcqzRzX//WNTHFwMXBu80N5drsPeF6gYhPWZHA/s3vFa91aQ4WQtylh63teYolyKx4fB+5u7TmjxPLMppCupdcdfIxPL3rmUf/EdXY6e1Rw4JbDaE1gCLAGplQxLuVKBvAg4hcSri/X0dxGAFkxcBJ8Fm0vH5sU29v4xpBRCldCbEHT5/4ux18WrJIPlPiwOLUZJwihwM+9PLVpaLXjgWcMTD/d59fU10rRJmrptTIrdr0pJyfo6ezy4rHS0L098t2R9B2V8/0V/Z11VAHwNuMeliVIpMve8wyjlbFvwS78/xSe/1MAGnjQRzkERgpK9A0+WSDyb7kL6W4yfKPz3xg/a2Nmyk+fNrn1dspP3K0XK3vfIS21eeOM5yKWwlUwRTo+nmSGQhre8ekB7JPnpdyvOrQqIchrNACWwJiCVgqEFYTxA5cC2ODKwuTxRhZQpfi5sKVNKb7wIRgtXRIz3a5bHMXfxCi+8qPMp+aEkkTwgVRaNG9dRq2e86YYlbrqmx/xMRj1M0EudiLDeOHv0VPP2rz59xa3d9oiLd4QEKl9yvA8wyWhjSY8SuOu4JOX7xpMv48Gk9GVJCfjx7aOd7LBj4JbSu6uKvQOdEmP46680+cKDjarWROa2oPTZO685kR6Dy3FAr9t36QEb7zixzglZJycxJlfWpuvdPyxlwVh9ijcrMAd2JgWilCkWI9xWgkbm7wmJEIo0NUTK8Pqbhrz5pX0+dJsiTkVVdJN3KlijSRAVWxccmwMbUbgqAnLXxDkrVKW0BdBz7Fe6vErjF4mgggekyXs081LZ4tqpjnU1TN+VTQhCBa2G4uatcOtLt3PVdn371Ex4NqlJ1Pt/77d4yYtfsrphSq5ORfafLSysEoZBGeGuWZb91rIJEEvhdeB47WRjdp8Y74Qvy1/HunT8RM54UFkVWeUau5QoVQOD1imZNHzq7jr/x3unOXImqpoYpJvl50ZBCGoK6tIN8tF5Yskvj9V+Yqos5y2m2xaJq2KLFVm+dr9TDT9yA5LkeOImd+rWvPZWC39zqQs1XJREAVU20O82kkVBVaEyLHNTGVdeknDivOLAcY0ZiwIpT7Yp0vBlEmjisbgYx4qXqifrXd9lQDr23iQz+AvguGwpRuS5HT0EUSiZbmqaNUlj+ioG6eZ/f+TIsfv3XvFKt0dPlG/fMdUUTLfcgpAZyh0DRNGuIYtqQB/c/iZEa73uKoi0pRzxs3HrM3flmEiRyxJRWYTSB3fhmgiPvYOMI4uSD3yiyf5DETQLxlYOQfn0p0BSzhkc65KfiCmqKsIJacLEiffP8QSbF6nniofWkrnbxcCsKZt1paf+/EKbv1fpdGMEmXAsLq0tA9BMWkTmdLizEJ2rko4sV1yc8gNv6fLgkyFHFwrhLEqpAWClJjbVeza3EG1eoGVxpJaXE7rKQlPQcSFZ3DGdZPPizyGhKNktfl4wuZTOPpT5hVYcwfLizgnEAitdy/nllForJk5SIN+E6sqrrqBWq6GkYfH88Tz7hOd/e0vIhCQpwO03KvibghaypABuKU/GEjzGq0ExEyAvto4uvPBxcDuwpznIXTp+uSv4zQ9Nceej+cjjQnMXSR3hmDSAicCyclCKwZrFwZyUKMVrvPccD0n+prc1SZ2SyeyFA9DcE5d+8sdSATuXLEI4N0Uak2tzl+EEhRCGTBjoG159w4h/9T0dfvH9M6wMvKvSswitVA7kovp8CA/MRduacZuWFRnNSrI4p0XmUsaKcXBXYM+rAkvQu8/gNzRPVMvk58BlLQWSjZu2c8mlVzIYDMuvwebNm9m797I7ep3ldzXr0RjT+Aw0JldkBfQS3OvUaxdp9snMpO9jjyVu1OTPciBPyJJxzZ3LE5UylJbf/UST3/94i26i3cQgL6iknN1X2IIesL2lfTJ7WZUnrDMOw1s+x5fWvyHI/ceJLGYB7HGWrzKcZeePwevAl1UAaqTX3lbMVnGDg7JM09LwI2/r8qNv7VI3KZgUbAomc4/5c2stsYWhgZERJBa3R6WFpNjxzEKaPy/mBGbG5Yuy4v1y8yjy7cvxEjXVTtqZGSdZa+yaSQQlyHFWodYh588vvuuyyy67Y9OmzRXAN23ayof+4Ff7Wbx0RAeKJKuM+7EM5ViAaEttWj7P9XXJ7t5YNbnOo1TjKXfH1hMuSVn6asbA7bsnDuwpBIZnDoX86R0NOkk+GbMEdiVRpKg6dap52naMncuL2te56wWWPpI9n3CCHr4OyCvQlu8VwM7BbTy29ksoypkqxb0AfpH4sbJsWjZGufeMKu9pomlpy3e9vseVl46QWTYB7vzROpAnFkY5yFPjQJ5ZSG313Ad6Ce78c7ufV+8XYLf+6yKYLkBfbDhVHiM7dqwgn3ymNCfPLB75z//1nf3t27dWAAd40YvfwC2v+BY2br6YOE7XaNCxnbtKNvZlhpde9+cFrknSeAwtJrOS41ZgyeATzO3rblkEloHh6UMBP/6uWZ48EGEDr5BKFgB3LXnljEHpf6/xtPxYQzHjQB6rV2Y9Jq8Q/rWgbdc88RI9uR5dW3Mx0XFf+OQFO9q8R9LLcI7t92NUxeRGkVlFNlJce0nCe356lav3Dp2pbDwWL5l9HORDK4gNJAXYrQN1mjNy8TrLtwZPPUAX2yUWF0TF4MXP7RpwF+xe7radVxQ6vWG4/rrL+b7v/nbe8bZvKY9nCfCpqTmmpuep1xtuRPEYQMEve3WlsONFUpUbUrDwZLOCmZAtJu+l/DpJnFJvG097mzyoTJ3uDjK6VvA7n2zy2DMRmdIeqP2UvHTSJHfF/LS873v7Capxq7DoZRwPNscyPBPB5UTF1QUQvhbsazp9JoLOMf/bHw5kiy26Zf5+IU3GN7cqZqqYfHiQyCQ3XDnif31Lj5ZMHSLthGRZB+SxESRGkNiC0ccZOjPVGLoxyeKtNMYDvs/2PqAr4BfSJq9ByfKJVqkhjGps2LCBufm58riWTWpBGBCE0cG52fqhrZsae60ZEmhZgr1KtqzzvGRyD9iCMkAUY9LFB3WV1BEeq1eBZeYxeV4GK8a97yDM6GfwgU82+dgXmoykB27pSxRRJXVK56RKv69rwclxmVLp8HXYfEJ7rx3fdgGMTwLaq0Mpf16m7aHcWTpHfRVousImWQaZ1vni1iKMLKWlNdYFm8YihcqDM4vIDKGwfMfr+uw7pvnAJ1r0kjwSL10UW9KiRZEUq4wprMIqNW/z+h6Kfk3jPOuyOEswFoAWQWqR6i8PZmFx5okkYa3bNQLI8sA+y1L0VB0po0NhGB6M42Qtg2/duo0zR+69fefW+od3bZ8h0imBvrBXPQZuOel+jNt+ayRHCebx9ypwm3XBLUtwp2XrWTeG3/9Uk//z/dOcXwomQF2Vwgoh3O4MYq1z4s85GUtiTQLYY2g/Ne/fhI/yv+FtTE/6KXzPWamKsSqJUu2vWQyJr5qTx0a+2YJBpSdX1FjQ6UbAKbbMG/7jP+/wg2/p0Yp8Js/A5vecybGW1MLIY/NCixeSJTWTwab3ejIAtesHoGVjQ/nvbC57LGlm6Q9TwvosKfUPf+ozd92+devWtQwOEEWKKAo/g5DfooPgegc0KtAqX3LkrwtnZE11oF3D1GLsfTP+WLD9GvBX4FYeuJVMkZHlL7/Y4J2/P8XZFe2G3Ejf887v5BOqhNchJNay9gXrT1jHPUGs+zv/o+AeA3oJ4gk2XzNSwt8dzfPHizS5yXsibVE0Z8fS9wLrCrKsBKPyz+x0QTKCrbMp//GH2ix1JB/+dAtqmWcbUj0XgFCk0osXTN5bQFGF6trZFM4JUSLPdObMPu6Zez8z3nsFkxsxdrRs/nYQBCgpHwvC2me8TbrHGRzg4itv5f6v3nVvnIweCgORd8rkvZATgWOxw1jlT3udNhM6Wo79zrg1KOUku1fyQ60Bt2cJ1gwHT2n++NNNzpwPK3CXbokupcn6romvvT2/e8JR8UuAy+rpMUlS7Wm0HrbHmF6wNnCcRPjEz8ebkCfmh48lejz3pNTgxc9k7p5UO0UUr/2A0xiFsYo0lmzdkPE939hj784RxIWTMh5wFu4KOaPGOZvHuY2YWEh9bZ4zfMXkE2xufDtx7fvG2jFbMTNu2L1FEsfxQ5///Bfu/a633Tp2/PXE+WD79m0IITh/psegP0JIOZFh9Jp/xaQs8ctf87kmfsBZ6G1hGc9eGuSEZJHCNTBUciXNf5aiQsOh05r//J4ZvvRwDWpyre7O896l5y288cc5yCvtXXXuTAJ4jJ09sI4VVU0AezL2LIE+AeTieeFv23Xsr9JVKfxvCra25Q5j/g5tFrfUC5OPLs4TQ8KKfMczkQ9YlXla3yKNdZt7C+X+HZZsmPLaFw35hR9v85/eM83hM6E7iIUeHqNHC2iyPGtpJISmmpHiM7b0MpvK099Oo1dFWUWW1E620ntM7twjS6NZY8f2nZi1TaJrAX7Z1a9FShWPhm2Gg07leQtvjIPP3BOauwT2RE130czgZy3FBQGeoYRruaqY2yBlgg4MR89r/st/n+ZjdzSIRd4Vj8/cleddFFNVlYKT2ttzTaDqF/WBLsdBKzy29tlZTKL6b3nzpYeDzzrbnIwx/STQi5kqLpspcJJFWJn3XUpXi23cOTE4oIvMkosJwBJpy9u/YUBmaom48wAALXdJREFU4D/99gzHFkSFmDUgh2LQZ+IHkXl63vgpezEZcLqf4VUhFpnQophrjDhkftHivvPOHVt421tvjZM042f+t68D8HpzA1Gt9VNzG/Zc1V4+9eok7ueFQl6HfJmYyZ+PeeOFK5Iztl8e64M6B7YQnowRxmlwD+gVcydonXFsIeBnfmuaj3++QSzzrdfKxuHxeyFNwtLeHB+9VrI3405K8Xy9OvA1bOxhWuSVbmPJn78Roitgj3eUT6TxS3+8YPEqhW2wZeOwnHBWHFEXzC5zh8UBvtTSpqjzzi8p4TpkAlK+69YBWsHP/tYMxxbCYuxV+btuILj1vo6zDY0sgG0xwhGvFoVGdz9TVAG+FQKJHWNyV+siKIoEynNhXQd9q9Xkyssv/vLei3f+1Gq7u+bQrimcqNWnOHHgs53pqWB/LZKZyTNphWYudHm1NYid2DlhUn/bcY1dALrovsnfFwW4y5/5NScpUhtOLyv+429P8/E7JsA9di+kCaU0UYU88Sohi5oTX3uPzcYb0+Bi/D0mfl7iuboC/qb49gPL8vWY9l67Ld+aO3is7dWI5yw+xupl9331O2UyqNDuXtYzzRQ6g+/4hgH/x4+32TqXVM6K9bKefvYzvzozkyeEjCC2eVrfusRQtsZpEZVO95NFeYKofM9WbqU7J0Emg8b+P/ro7Z3Zmak1x1evd9CFgE6n/+MLndmbk9HohlY9Ld2Sai7JeHaykB7jjG287h5PxngOSvV+VrG2MFRet+uGT7XgfZ9q8bHPNYiLjSTFeql4r8dSVoFlAerxIfbjiZxJ98Rn9HE9PgnoiTvjb38d4h57btf5pXGP3FaWIAV5XmBwp8/ipvR+EAiscEGoKDhXFMl+cAVZFmHzPb4zi8bw9jf02X9E864PTLmeXZ/JC59c2Jw2nXtlEMQ52LMyHnKMrkQ1u7AYmF/u9SPzfYFkdUyKMRJSuP98q6G4dPf0E4N+98frjda6x3jd0redl34jx07LbHpurwVV7lgW6Czf093fKdifRTLRYaO8bKTKSrYui6X8ctcxcOf/TmRIZUALbr+3zkdubzAqbUAP0NJ/HHdNxnT3GFv7MuUC3TrFYR1jdFGSQCVbxov2/7YqfM2kK98TR0wwdgV+M+aqVNufjDP0BIuPPRZuiqo2u/IyndYqjBGEmeUdt/b5hpcOEGM1K9lan7x0Wgw298tj41yWoclT/HmhVlJkQ/N7mjN3YgRJJtzz8i7KOfahVrzgmkvsximb/S/veMO6x1Rf6GDf/OJbSJLhR5568JnLZdZphmFW2YZrkjOTDF29LrV3wdxjbG5yTe4/L+pMUlRgEBr+6u46P/VbMzxzOHJzHcZYu+qtLF0TOZmOt+PlsL72LoFqx8DtXwSIceBe6LG8iQuw8QQzX6jLx4pcWJeMPf67kwOBKi1elM5O9m9WdSu+9i60uDF5ea2xOefZiQvW/XElUq7dG/Pr/3aVn5Tw6XvqjqhV/sENuRb3rlTpSnSxkkz8P+19d7wcR53nt6rD5HlZT+9JepKecrTkICcs2+CAjUEGvAb2uGV3z+ZYm2hYH3C3i48lmWSyYfdjYG3uwDicsOFYB7Ccwca2HJVlS+Ipvhwm9HRX7R9V1V3V0+/pKVm2d+vzmc/MdJrp7m/9+vvL0vxHRD1vO5BCiIrem1Q+eUOhJCW4LV3/ketePJlmdDaPrTjxpFtz2cy4l3nc4OXm1k4elJ76zrz50/uaiqPIpGpwnQCu7cuW1wEco1OwH+uBE8Ts4IHxOeLkundSvCj1YdkC3Hc9nMGnv1fEhlckuGlMoaQa4JFk8+ZhbLeeOzoeLUl08sSWQ0nyOB/XQU8m76rX4+51qhIpmCRmMYmsJUq1NSR8nRSHZh/XuTfVwmklX9e9nNJGHnBLejstMM/Coi4f139kGJecVRaiNlDSuxZJb1bTYliCSJormzkTobdlRlAJCCqMoMqIiFQMCLyAwAsovICI7z5Q9QkqNYIxD9g7DHR2L+j77YMvfWfG9M5xZYk90cWf0rEAvjeIYPQhlMZEUyPT82iaAI0XEpYRnYMr6S6kNgnNg4qWAHc9ksFnv1/Ei9vTEbgNZdLSpLeoERh1I0bMW2mWrTA4dhK4NeUySZKHYNYtKjro9ZGA8+Q7Qow19Z5NtTaeeS+luKVHIOrZP7LsRyjFubSFy7gVac8j8oBEuvuJLKRTpyHUgKWzavjS1cPgHPjNI1mx3BoPZ+rJYMl3McECQsAgFE0VzWlLimlLM6HNRNqgTcThLSJc9W42j6VL52FKS3FCATIhwK3MtKrvjXzISc++jZQ25kLPomH9qAe1uNfqc3wCyJJiRN9f8W8BdNgE//+xND7z3SJeejmVAG6Nf8sSZIQqe7dJTQyrCRL4NgEouAl0xAAfwo9o9u7YMoxjOZk0uGPWEx5bDgBxamJQkMiNL7LJdEkPGXSlOXooQsoSvjMCETNpTjFCxARiUXNBwAOWzarh+o8Mg3Hgt49lELrc66aorOlGWHTP5Mack7DGYQACX7vuFoQi6jABAYcLky8Yx/IF08cci35o3qz26mEDvDI2xqzM4ifzU9LDQ/3bc5ZVhuMIKqIsIPpLnZRuF0adRNekuLScKMATi4FbBP/2hzT+/ttFbHjZFWVeaZIp0DQJWjAVy/AVqy2YpGDGExtC6a0wGqMtRlRhEpAPQ8tMsqKEACY8xrt1a0rUMIoxBWwYkjuS3hAgp6JDBKRdHCrVjkr7sqy/JqIRBS5BRbXagEXpdPA4lsyq4WsfHQbnBPc9nhYlDan884TKxFEL8vEgZopsqRJeVB6JEOWdBQgCiPOpEgKbEaQokLU4mjMOPvjes4eXL5r55ODgCJvouk4IcCfdAcuye8vcu6y5fcW62vD9TspFyKN1iZ00BBi4CXRlPgwVyyA0J3KL4Pd/SuGabxaxaacrK1AlvXQLinikubQ+Q4fGpXMosXXAxqtzRcCtt3NH4Na1sGidehRH68eV7Dqo40okTAkegh2KjwvvTAhukhScRUyJrkUgkvB7lM8Z9p1nRAgNZW9mKs9U3js1kYQLBsTzsXhmDTd8Yggf9oF1f5IgV4AOQ1+VLVF5SqVmXKen6DRNAh4UHqHwKUW5GmDNeStrVc+/bEpLsbepITsRhCcGuG07qI5uRqYwt8e1hrbXyLoFFumHKIsgTljdjCAQ5iYOfUZGADcpi7CYhFTFEi3n7nsihY9/owGbd7jCiK0rkIbkVp9jMd5KakOzlsTKXCQW8dE4edxMGIJZ+x5m8tTRGmlS5PXmwoMJdcPhIy0pOh0B0SlMnKpIMBMTzCb/lsBXnkUpvTkYmIpdj9LYxb0Kpb08J4lRBXIQgAQclDPM76rhe58awse+Cfzuj2kEVG4YApZKqc41YEusEHniocLBzIZREJOOcaCxpRGnnDR/+7LFs3uefGknVi2ZOeF1PWgKOCEWgtHbd6Td4St7q8vw1OYKeoerePQFhgee4egt1eAxD27KE/3erVrYC4dS30xQ0KICKZGBVC4Hswl+92RagHuXC25wbqq9bMSpSWJ2TgKo4+DWpfdEjp6k8Ni4MyeO3kOJCR8vFlwHvtoubm0xEpITvZx67Ljm/GGmNSVaRjUrDI1s4lyPOoyWCa+psJ3zKsH8GTV865ohnLuqInI7a5H1RMwIaTeHZjPXIxSZBzAPpOYhb5XRkR/FW04awNknDKCzcQgr5uzF31wyDWOjI1f+5PZ/22FbFg427INt4ObmoHdgDOl8ds8zuxoe/v2DL57lV4Zw9yMNKAfAJaeV0T29iisvHUNHo4fAp+Cg8mKp1nBK8YyUSkI4qAPsHLDx+DMurvtRAZt3uOBuXFLXJw0r1KkY77jVxKQops07ydmjg1JIZs25gwQToVqWyFMSxcTBka5tG2bzhOAmMqpOoyVKyhs0hURUxlAwSUQ5ICU8g4gJ0VJrxAOWAoxJLi8mgZDkAvRhLDiVnk7JgCkBSI1h4cwavnPNED73owL+uD6FnX0AXEVXiOTfEQUJJTyXtCVg6Gz0cMU7R9A9zcclp3moBAR3rrPQkGvAhefPf3hK54V7gBEQUjzo1Tz4FADw1eu/hPe+9/T+eV3Zkd19uPy7/7cfvaVmVHgaz21I4w/PO6h4HKtPrCDlsOgRrVtN9JgTAtAUsLnHxpf+uYBv/zyPnfsdmSicBO56b2UIbsojKa5l9isFM14plirFk3KTwqhwWVm5Kqw0RdQDQ1ZTIiSaY1TV14sqLaki7mEZZfmixrL60Fzj6YKEZcZ6gjpHlPpd1E/KuCPLsATFjhNNdqJNeIUEHk7maHtdYQFIALQ2Bzj7ZA9TOwJs3Gqjf4BGJsS4whHycQHuXMrH564YwsffU8LKeRTwU8ikbHS1V2Fn34yh2pJP9eze+MiMaYsnJS4OKsHV8K3FsNOFJ/NNWLvsBHbpsxt2gVMbZddDtcTxy3vyOPfkCt65ugTOhIQOC3eGiqa4HjQFbO1x8PkfFnDHfRlUAiqsJST+ivFviTgKzSQIjGs1UTe2Hiha113EwKbdQINb6/cSJpBiAnhSDp74MKIHibr1QrrVBWAp3Qe6mVBrqQ1pFjQcPxSEMC1xgodSm8kgbgIWlmiG5PJMK61MZNMrQojMBkJEcqVCCspBfaC9OcD7Ly4j5QD/+/sFbOuxgZRSwgnCuiQ60AOG81eV8RcXlEECBwPDBVSqaQQBR65hJVZ1n7TWyi96EsHApK/rpMswLZvfhV29lR3vWXPWx1Z2t9y9vDOF6TmGnOMCxAIJovZyyrcW2bpZiCTqEGzrcXDdjXnccX8GFejgJjFwx4AubbQWRRi0o3Nv3UtpcHANxEa2DmLvMSmK2HID0KaBPHGQCdZptzXaOMavFeCTeLexXOPX4Ijx72hbwbNNPh6muqlcTh7RyyjKMCoeFC8ixBmV1ptoX8YIWAVIcYbLzivjc1eNoHt6TQSfKE6uvFNG/VxZEsICGLdRrmTQO1jEgcFODJVn3W3lL/hYrTK8g9hzJg3wSVEUNX70vW/ggvMuHlqxaPoyVuk9a2SoH/tHArQUh3DlmgFcurqMfCqS3FoDRAFuF3hln41//H4Bt9+XRRVUuKkSJbaeOBxxb5vIDmiagmkU+dSkeEhRJAUZl66E34lBSwzKEtuGUq28r1pGFEVRx9G+J1AU9aSo0wtgTjYxnyI6FD15zLxQ0ypEoGpJ6vQF+j6ER3QD0XfoxzAmdT3tSZrN4Touaj8unBOgrYXh6RdtDA1RgToC86BywcCosLbM7fBBkcGL25pR4gvQOXP1nf29PXe2Tl1yKJCdPEVRY153B6ZO7by+/8DO7lntQ+/5YG4jprUfwOI5VWQtCt9XyiT0qw2PETz9rIsbb8/itvsy8IheAFAa/o2XRk3kRVAuXBvC5m1KaV7vmo9L5UlI7/r1xLwZ2lD0xbxR4w1zHef1m4cSmsCwnpDYd32bkKYQaR3XTIYiAVijL9AoC4c4iHq4UkVVxDkxUIAyUCJjVCgPpbwyI4rlCJ1BnKo0OhG4RSkDCzhSNsN7zq8ADPjB7Vk8s8FFlenkXwo4m6J32Ma3bknj7kcZ2hvyWNbVitWnz7x12swV1+/Zs/tQ4Xp4kZ2PPfw7+OjMNuCn9zRkNr2puTAmkxVqsKwaLOKLkr1UKGQlRnDL3Vn84w/zGByxUOMkzJmcUHprFWEJQVj2wSFcxnoL6R0GVRmSm0cSOqweq+VejiO9zZLFsg+mWialtiqhTIhYZilpTTVJrpX4JUSVUoa2Texpoj9hZPZUVG9Gbcflb+nlOvSqYqoVen09SEKjjhrxFjF6NV+iZWXFy3lY8QwsGUCnIkItGoCouH5pHg493RZQA8XQCMX/ujGP//PrLMbCfiV6Tq0DEBcENtobLJy2qOORr3/q4gs37+gtXXzRBYeM1UlzcH2ccdZbkMqNlSrZd3v3PzMVe/sKGCvlEAQ2wt6GVPzXMUbw019l8Zkf5HFgSBSLMZ+lNJLS0GZz+BIS1NIkd1KjKLPkWiyRAWaQVZ1imSTVUb+sTiLEltdtc1jiQ444x4bOzWPRhYh4ucGvDXu3XgJNeT216lhGRr6WHcQozNhxPWOIarxdi27kRDMVy/8ZADbnaGtg+PLVo/irNSXkLA74MB9L1IWTyqKtSPCXbwlqX7jmjBc9DB8WuIHDoChqzJw+H5yzJ/r2Xnz63r57MvnsHjg2F04cV6Biyx4bd61L48s35TE4rCiJDmbtlWRBkfEKUQhsUmvtuBMnwTWfVAYixlfjsSYgCBuaCrCSOtpiKJE6wg8T2zqIlRojsjwV0lVHM9NFr6x3KvtexK5oLnxjImhWFIjaKaKqlKIzkJYTgND6WHKOCLRMURVOZDa/TGrWlgHCeqOa+bCAornA8E8fGkXa4bh7XRpb9zgAYSCOD/gcjgMs7cjirJUnbtrT039195z2w4Xp4QN86pQivGr5f775nDN5z6ZnPzFW3pJ+aSfw5IYcFs2rIeVwfOuWHNatT6HqK8Ui1GZgaiyKZ1ONk5EQVBaUt1LlUiZ0IdYVygTgK3COGx4L1EltE8Qaada30d7VpnFv5CFZDQ0zIUygquPoAViEh6lshEQSmiACdZgEgUjSh70tORd8m7Mo0ArKfCiXM8HJCQBQGaTFVWCULrHNOHV1ETlXhlYxG1kANOcDfOmqEZx/podv3ZJDyuFYNDfAEy/V8NwrAaZMW15ZdeaFdxfzGV7I5159gAOAm8owv+9n16XyTbU7/zj30zfeMeRu2Mpw6bl9KGY5HnwqLcDthCgxVXJD5MUkuayAHk8/swiXYZTxDB1NelMTuEZuJYl4byi9NbCrv6LbvpUyGacrmp0hnAOGVWIckc5jII4vqwO79q6AThKWqehCIkNQVQttqKAqRMFXAKIoQ0Q2cSolOZP+FwICRikoZ5EUN0JsRZa+AruQ4soTCtMnwKM/zDmQdgnOObGKvfspGnIM7zqb4ZkNBPc/3+n1VVu/+q2b//DFr117yYTRggcbh2QmTBq0693BzsG2Pz6/JevVxmrnXHbuALniXYOogePxZzOo+DaM9PW41UGnJUamjlDOnFCxlIHvmjJmeCuVMhYqlPUSPjL7JZgAY+uUQqkroZGHEqEZkFB9GQm9m7pJsP5zgneSxEyHIU1CSNPU/tEklMcDMF5hfp1aRZc95rgi8fWxz+HTTO3AzadXGCmq6GDU6kZFIUYmxUiqUwDDJeC232bx8/sa0dPXhBmtM9gZK2Zdd84p+a+dMq+3+s3v/ubI8HmkAL/uw/8Fc5qy5Xeds2ztNf91JX/fOQ4Wdlp4ucfFWC0lGz5p5j4zKav+Smp+Y1XuwdatBjEOHnomaQItSeTjMe4NExAGiDQQ6N7NuoeRNkjdhwmG7r3U3gUAjE0MM5/4TuqWcxbn2kSLPkxw/BieTjMBWY9jicpRQFM+zQJDXDTKhF60X1wj7T5LkAuF1obvO8jaFmZNC7BpVxG/vKcVu4bP4qPszLVbdnSWp837uyOF55FRFDUWzpuBkj99y5ScfdXwwKobv/CvD9Cf/rYIj6YBKqPEwpoZLJLcXJ20et5G/JsQyb1huuLDDB2gLkuHGN+TXPQaMYoBv46iaBxc7zanUxbAPF4iticAOsdB5oGmPEYx35ptPHyXQVdEC6MFAZOhqZREy9REYMLMLdrVc9nkicl+8ZREAVjaMhLaz6kZghvycCmd1Z/XQ6WVN4sBYFS2UHHAQfG+832M+QMYClazfPP8q5YsmbXlhY0HjgY0jw7AZ89ZCF55zkPq1Jtu+OWL2QdeWHoDWD+yGRflWg28xmDDQ7FQg0UYfEYxWpL2cG5pUlJJ+YhmGKZAYMI4b92SYgA3QbpTTXonPap1yR4Bdfy0NFPa6yx9kkPn5bojR+m28dmg4k64jFgxJoJQPoku3RFxbQDCeqL24bIyltpXgZYROQEErw6VzhgPJ9CfDObEF2XWgMExC35AYBOGQhZgzIJXS6FczaJWY/jri9pQtcY++eEHTrwpld8eXHjmwqMBzaMDcAAg6eXYsG1v8KG/vGzboq6nRu5ce2/huZ0j2DEkCsycc1IZX7+6H815hgODFP90cwFr1+Uhouj1A0nHCImqUkVFe0xAh3UESQzA0Ll0TEKPR1diyiSMZSbADAuLBmWSKJInB3GduMV/j2tg1j2YoYQHwjwCPY2NQZRCC5VP4ykgOpOBkrCTmVI+eVh3kIbcR5WA44yIBAnI/M6wbSEB5SqWVkhxQjgsm2Ptugy+cHMR+4dstOR9fP2qIaw+gSMILOztTWO4PA0Lll0wMrvrpG2/mr07cDKTjzU52DhiDq6P5oYMqD9691vPPfnqa//uLf0feBtHa6aC5hzBh95RwsKZBO2NFk5c7ON9F5TQ0exrmRuR9CZEURNeR010ICeZBY0uadQEfwTq+lJs+ncTvKSOvhjwjdsIjZWTuGh8gu/jftY4Oo8kdJgNpAdkQefcWuF8higwSu3DTGcOZ9HL6AEUJkLEuX0kxQkAy2bY3U9x6705rH8xj919Bby0vRk33tWIwZKN/pEA965vAMtf1N/WedrV/QO1uzlJrlB1uOOoSXAAaG9tkBe975bWM06z07nB6x94+k9tzfk+LO1qwEA/Q8qtgKCEt6yo4fSlVdy5Lq0BIgqHDbN0aEIygx7PrdGVeE8dyehjPJskSnCBR422wFyngB59gwlgYm5DcGj4JkimI3XMRJkJY59VNhCX/yNsdcK4oBkQfSoZlVIdRMaLKGkOEerKRDk1AsXPATMhInqnjIbpb9Tg4dIpaQGPv+Di/vVZIJ0CSWXh2jbWb0nj3sfLWDavgIVLzj8wd9Hp/2PHfu+WuTMO36Ez3jiqAA/vNWnBzt2jP2nruIReerb35X07/9T2ck8KXR3DaCoAaacG1/Lh2kq7jkQnIcQod5zYpDWhQ4PR6jpGSyLfqWk1SVI0EZsMIHGga8s1cCYDfnKD19GRiIYQ/bs2ATjiCqb40ajkMsIgLaI5hITDR/BxqvZnGpghFM6wHApTJyPixRFeQ1lTRVXFIiI3UwRgkZDrez5BtWYBVgquk0JHlmN2Sxov7ypi8eKTDlx60fmfAbyfENJwLKB4dCmKPro683j6id/dNGta4dq5c2f0l8oUnmcjCEQOn4kE6Zqn1ODeVixDJ+yOTBCT3vXgri8JEdmSQ7O88aqX3vogCUAPtzsEMI83eN2CpIPqceC6KZEYCRFQSqUWOahXujLyMxV10ShIuD2Lr1ex4KpbW8Iyja6YF4/CpUDG5kjbAdL5jv7RSuO1D6979KZjBW7gGAIcAN7x9kuQz3g3z57Z8ZHpMzpGHLsiC3IGspCiGX8SdWPgsbgT6dCh9fEnptI5PueuA3eCxDaltQl4HoMgUTcuAaCHQ73HqwbEk9aRmAc05OES7NBjUHT3vB5bAi35GAbnjkAeAT3qUkxNcKvkCL1toWxsBU7hWAyuLZKLa4xjpBJgaueMkeaWqR/5896Rm1ef+9ZjCcFjC3AAmNVZYdOnZm5tb2+9oqVtWiWXGUK6UMaDL9j444aU7EYswmKjRlEiv1Ln4FGXiYl5eL3SOT64DTAnWFQ0PInyZoi2nRDFh4FwjnExrpn65PdQSuuHInVgj1oPRiBnLEGy69JbiyBUrcCjPpfRNtFn2fdH1TEMe29S+DULqxb5OGdpCRgrozYyijlzZlbaOqZdAZK7taeXH5EbfjLjmHBwfcxZ+n4M7LwxaJzRecf6J4aCx55d/LON215Kb9/tYu+AEwKcUAqXiNJcjiaxQ4pC40nEvB7YNEZLcBBwQ1ITTTEMP9Xx7gSeHW1dbzeHue/BhlIU4zEqxuDaJhpnJ9r2DCKsADzi5WojxoWCCUbAqOTaMl4RKqKQKKlHhQmXcknQmVgRlq6SH8FACEVAOCiL3imz4Pk22ht9/O2aUZxxQgnFpuWVvkrx/Y9tW7K2hK3Bdz773mMNvyOPRZnMuP6G36Cl6wx+yszUxntfnLrp1MXW2xrTu50Hn83BRxZwXLiUIGtxuJYEuSUL2I8DbiPBmJrgVtnvIR8fR3LHi2tSbWKMu62xTn6mJHa88WNQ4r85kSc1+T9Dm3za00RuHFlhNKeU0jahzQylJatIv/Cppa8nmpVH+2Gu/R4gNGFNSKj/6VgBfObjx7/Owk6vKK05d9oHlq+afsebZj/L/ubyK18N6B17iqLGR//bR/HzJwv8K5/6h9suf+uUKwoNC4fSrgsQBylKkbO4zLXkspooD+3gtspuoVrmDq2nJnHOHZfq4xXyiVOSuJQ2Mu0JTIk9wX7AxNKbcxxkkESOjYMcs56DR4poPJ4kVDpZvZ08UiKJ1vZPNJQNAoogUNycggVymWx7UvNt1HwbVc/B7FnzhtbvWnzFvGXWbQOvHOArTvzkwU78qI2joP8f2uB9X8Cqjy/FeSuH/2pvf/DNdU9saxnsG0TWscL0M8fiotYg5bKVuJTacTDXgTsWqReX3IhxbpjbAKaEVQm/RjIy0ROIlXIbRROa64iWnKynsI1/DuEyzbZvKM6a7hGdE9eeUmakH419V0Fo0XWJclsJjb6rY0bNwtTv6l2vRVcPR3b7MOrBkxoyuSIKLYv7OMlck5/q3/y+T2bxi29+8FXF26sOcDV27xuC69p/+4u7HvvKzbf9vu1A3zAIFZ3RXIvDtQRNsXXrCTUlcRzccft3aANXT1edb+uSW6cDiQpnEsC1zwkAVwWC9DDbJIDXgbwuL3QcgMcBa/zfOMgBaKAGzONG+0f5nWpyRDXVeThZ9DxOvbWNIxuLBQGH5TSirevCAw3t536as9qPnVTLccHZMVcyxxud7Q0YHhn78QfefSbJufzLP/jZ79t27htG1rVAbCG1HQuwrfpGUeOaAHXJnQDaENgaqONu+cQpH/LacU7GWDf5Dmv6/hzAoeyoe0CT/osecRhm20vwA8JtI/RNLp84PHRgcUTx6JxDlPYmIh6GKM+l9IpyLoo8WVYAQkTLKeq0ojj17QeKU875DOf8x07q4CXWjtU4bgAHgGIhh9HRsZvWvPVUv8LtG3546yNN+/b2IcsDuDbg2oKi6BzZoBuUoJ5/x5XCg4FaLTuyh1kiJz+U/ZXudtAY2glGCG4BRKOIvjysihMJlMTmuvKrQlwjRYPIPyQALraDtLwQAtnfB3CdGlzHRzrbhmzrxQOZpjP/PmD8X9Pp7GGcyNEbxxXgAJDP51Cq1G5Zc/7J/U9t3jeHBDO/+tiDf3BSNpBNUdFOjqlM8FghG1LPyVXstlqmB1QB4+GYhOtI9HXSQz/mkeBT7R8mNhzigcy4Fu2ktcCssLSnBKtKf6M0SnWj4AAVMKaIQviVVEcYjAUQSuEHHK7NUWg9o5ZKkWvzU07fRq3UbwhJHcGVODrjuHHw+Lj/ic2Y0tHubn5h419v3rDpBy88/yzhQZUyRlCtcdQChOjRJbNpJYnxcGhKZcLZ6hJOX19vohM3WqWnGRxc59mUhClwKp1tUhxc0y/inDziw/UcHDEOrU4hPom5/qFuO7OEdKjAhrVTJAeHWCauG0HNJ6h6FLUAKOYdtnDhIt4xvfuqxvbZP/VG+7xU4YTjDSkArwEJrsZ5q+bjqWde8pZ0T7nFZZV1xbT3F8NDvV/Y/koPqkMRpzTArb/qgEMSJbKi03Xx1vpmsYg9AoxrUNUZ96sqLUg9kOO/r84z7gGFvH6iHqqiHzJeHCIwi0Jq6IyDUCHmOSNQbdg5B/b3M2SLnUgX2/6x0NR9G3Fm7OrdO+q1dbw2wA28inbwyYyTVi7GogWzy9wf3Fy2TvjKmau6P3/ZJe1BOsNQrjKESVGa1AurRRFlKxdVpCzddq6VlKjj5dCe5HEXeIzDxofhP0lYN5G6GQ/1Hs8mfjBbeWjykyeiQK+DW3fXh672QLdrI4w1CQJl/4bmvtdc/ZzAsQMQy8MgmxpY6a7PX3TByq9s2DK4ubFlVrmt4+hk4hyt8ZqR4PpYs2YNnn1ybXDCKZd/7kDvfnvTnkc++fRTT6dKo8MoVXxQSrXSEGZptehRXk9LQgDrClgIaC3MlGvPcSAsxTAZEa3+k7EsaUfNcqI/OQ7lMUD0D7GnFZHWk7pObKifNIpqccKFm1+rU0FAwKlQPsE5PN9GJteAk5YuqV7wjtXfKDZM/RzonbjiA+86Zng4kvGa4eBJY3/fMBwagHHy5W3bXj79F7f/hu7eP3Z6f3+/nU3bcB0CvdqrkNoRDxcnGCXB6p49xrmUTOKzwcc102L0tCBGmQll99a5dUST4iUitGNRUqdD1Nn2Y44e02ur1VdMcPioIRIaxPkFqmwyi9LVlIRXkyIMZrMgu1lHNnHbYnBsD8Vioz9cLjx+wskXsc7OWY/7Pv1MJuPDcpqON1TGHa9pgOvjRz/5FRzHLoyMjP7z9pd3XN7Xu5cGfhWUUHAAlkXgWAS2FZUuNmRzDNwBAxiL3vVovTiP12NbImdOBHC9+GYIaAot2Ks+fqXOrp/g7FGFNs0inbwO7ASRMqqG6OOkqAjkeZqSPLo4AgkWFX4H1xHmWcYAPwhQzLuYOrWNTZk645fpdO6DQVAbmbPk0uMNiUmN1w3AAWDDxu3IZNKtO3ft/tjTzzyzdGBw8NI/rd8C17FRyNpIpygcm8KSJgaRfBtJZyXFBMA5fJ/LTtRRtSdAt2QQQ6IqD6VFxwe4okdxKR5J2XECvEJAR9I7DnBVG0Zsa1adDePh5TkwyatrPkEtQAh0JdUBM18TEMd0HCCT4silPXDuIVOYh3y+ae2iJctfaGrp+LbnVXqbWmYfbyhMerwmOfh4Y9HCbgDo3bu35x/OXLVg5j0PrQd3my/d9NJGsGAMru0ilbKk7ZxLCW3SD0YFNQEXhU0DxuAzLgtJypcqfRDWu1bOk+g4el0UQLNoGDb3WFFPbeiFfULFMJaTOR4lNydIzJwnzQaUaA1VAwH0gJn8W014X7bIoZSg5jNQeOhoS2PO/EXINi5YS+xTPs740I5coeN4Q+CQx+tKguvjuS09cGx77patO5c78D62e9fW1T1/3o5qZQyuY6HmA5UqQ8BYWCNPAYlxDs9jGCsFGK0w1PwIXJHlhRif9Xrfylqj296jut80so/TelNlvGuCERGpvZOE+uBKguvvFuUhZ1ZSnYiSsfBqFCMlCyMliqpHopqEJHLjBwyoVDm8GgNjAZqbili2ZC6WLZn9UHMzvl1onv4cEGwlpPt43/LDGq8rCa6P5fOmAcBWzvlWAC88+ijrWLF80Y92/3nL3AN7nrP29XkYHBGc3KKiZqBFCSxLANWzGUbLAUZKgM8EWGwKcIvIQrjCjQ3U282NYdijSeSIMkIFzB25VoCHyWMrwKkEY6Pgl9pPf4IoB48qZ2dx2OGLwbI4/IBgpEwwUqLwaiojioBa0UROORwH+qsYLhGcdfrKYMniBVvB/P8+c+4ZewBsPpyGWq+l8boFuBryBmweGhzYzBi7sKnBneYtWnb7T257sEjp7hx4FYRQUAI4NkHaJUi7QEujj67pA/jenXmkqI1CmiFlq2OKlo5G/e2obMsk/pNpwgzt7NAVWqUUajz4MLCkFEwaKogBUm6AfKYGyy7h9kcyKI8U0FK0kHIpUo7InAIX/6VtSganrGwba5n25uHRMVzW3d3VY1l0x+sd2Gq87gGuRkNjEzhnOxqbmnft7R9ZctGb2Wn5FP+X7du3+Zs3b20eGx0s2BbgOgyFLENnaw3ZXAXdswM89UIbHEsmWFAOS2uoCgB1+WT6Yu2zeJmNpqgm4QNppmPy4MKdz6O+OkhyHMlSECTxLxhc3KIMts2Qcnw0N5TwxKYRPLMti0YrgEMCFHI2bMuBZdlon9I8MqNrTn93d7ddzAVXtk6d9QdqNw2xgDPbfk35/45ovHHOBAAR/JcFldGBBd2d9zQUi/Nvv2PtnPe99/IvnnrqKS+2TWlb39JcqOTyadiWj2mtHpbNKmGsyoVHT2a8sBi4Q+DK79DX1S2UF1bycNsGHFuknlIKcMbhBxy1gMMPWGjVSXJYxp0yZLzlYeloMUFtiyGbquL5l4Gd+wiqNQY3lUY6k6+0tratX7L0xBff+rZ3f/F39941J5stzs/kZ9wzPOQNUELeUOAG3kASXB/Tp3UCgt6Wdu7cCcuyv2pZ9KvLl863CvnsD2peZb4dbHpTlY9ZA2MMOZeABV5Y20MUtCRhwoQRmaj9ju6hjKSvELOUCFC7EtwAgCpQCjgq1QAEwnYPCMVUZcfqxze6OiACtujYoLLjZXy3pCmcMdRqDNWai44WjhmdOaxYOCs46+RZj2Szmc3lcukqavEglUrjE9d+nnd2zigd7/t1LMcbEuD66OrqAiKB7I+NDn8QNNNksSVfWv9szd2+ry84/YSWE5vS/kk7enoxPDyKXJogZdsAKCilQjGlquqqMB0CWggplMlNJA2obi2CEgHpFEM2xTBSYtixl2GsxJBJEaRSFJQQ2PIu6FGF4TF51P0lDIaSPnhCAD8A7IADrAqb1mA7OViZGSiz2lNnrdj19CC6rTXnvdNbOKv1syNj1YGm5sbjfUte1fHG0CSOYPy/ux8AIVhd9bwLdh8Yu2xkpLSA+2Xs2rEVnAeoeVXYlMG2CAJZ3MayCFyHwHUoLEoQBBw+E0FPtkXguhbSLkUuA+QyHMVcgGmtFQyUx/Avv3ZRHnHR2QzksxTZtI1sRmyfckUWEwjg+4KzC0sHkHaFhaRS5ShXA1gWkMtQZDIppFMU8+bORGODDcvKbqrxptttx72Xc/7Q7PnnHO9LfFzHG16CH2y88+3nAsBDu/f2PwSChz3PnzMw0Md+ces+1tbWMru9reXT+/ftRjbj4Inne9DT04vmAkUxbyOfTcN1KEbHApTKPkCAtEthSR5LCODYHGmXobFYhW8NY7haxOiYi+Y8RzqFkA5ZlshgSrkiwXfIIxgtcdg2QHiAjBugIeehsaERI7VuOFaArhnTUBrr/8roSP/L07vfRBsaGimhzjaA3+OmW4/3pX1NjP/wAFejc2ozANyjvu/bvx+pVKpxz549j2/c4KKYd2q02P0Jh7DzGzJCcfzzKy8g6wyip5dhxwEHDVmCgDFUKh4sYiHtEvCAAdwH4R44q6Ja9VCu1FCpclRdhozLRds+TpBO2WhpdFHMeXhiA8eBQYKZ0xtx+pknIp8laCx4cGz/vqdfcm/IpgNnVvdCtLZNfajmeYONzf8J6KTxnwAfZ7RPmQIAgwDuAoD1m3ajpQsb0xZrTztgnPsYG3wZGWsYQxXACxyUq9Xam88+9bpqeewSIKg15CkKWY58NkC2qYzm7ChWr8qgMppBeyNHNk2Rz1rIZylyGcdpaMj/evjAk9c1FIgTcI5KjSCVyqF77iJkUjbSaZ9mM8G+6bPxMrFfn57FV3v8h+fgR3M8+tjjICDt+/bta/B9jxfzFnJpjkyaoalQxZhXwj1PpuGVXDTlOdIpimyaIpehyKZd0trWPsQ533fCylOP96m8Yca/A+127nyHB673AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE5OjQ1OjQyKzAwOjAwHF9pEgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxOTo0NTo0MiswMDowMG0C0a4AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 58280371
{'hecke_orbit_code': 58546795189372249, 'n': 1, 'trace_an': 27}
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id: 58280372
{'hecke_orbit_code': 58546795189372249, 'n': 2, 'trace_an': -9}
-
id: 58280373
{'hecke_orbit_code': 58546795189372249, 'n': 3, 'trace_an': -1}
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id: 58280374
{'hecke_orbit_code': 58546795189372249, 'n': 4, 'trace_an': 25}
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id: 58280375
{'hecke_orbit_code': 58546795189372249, 'n': 5, 'trace_an': -17}
-
id: 58280376
{'hecke_orbit_code': 58546795189372249, 'n': 6, 'trace_an': -10}
-
id: 58280377
{'hecke_orbit_code': 58546795189372249, 'n': 7, 'trace_an': -3}
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id: 58280378
{'hecke_orbit_code': 58546795189372249, 'n': 8, 'trace_an': -21}
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id: 58280379
{'hecke_orbit_code': 58546795189372249, 'n': 9, 'trace_an': 20}
-
id: 58280380
{'hecke_orbit_code': 58546795189372249, 'n': 10, 'trace_an': -11}
-
id: 58280381
{'hecke_orbit_code': 58546795189372249, 'n': 11, 'trace_an': -5}
-
id: 58280382
{'hecke_orbit_code': 58546795189372249, 'n': 12, 'trace_an': -10}
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id: 58280383
{'hecke_orbit_code': 58546795189372249, 'n': 13, 'trace_an': -15}
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id: 58280384
{'hecke_orbit_code': 58546795189372249, 'n': 14, 'trace_an': -25}
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id: 58280385
{'hecke_orbit_code': 58546795189372249, 'n': 15, 'trace_an': -23}
-
id: 58280386
{'hecke_orbit_code': 58546795189372249, 'n': 16, 'trace_an': 13}
-
id: 58280387
{'hecke_orbit_code': 58546795189372249, 'n': 17, 'trace_an': -26}
-
id: 58280388
{'hecke_orbit_code': 58546795189372249, 'n': 18, 'trace_an': -15}
-
id: 58280389
{'hecke_orbit_code': 58546795189372249, 'n': 19, 'trace_an': -27}
-
id: 58280390
{'hecke_orbit_code': 58546795189372249, 'n': 20, 'trace_an': -38}
-
id: 58280391
{'hecke_orbit_code': 58546795189372249, 'n': 21, 'trace_an': -17}
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id: 58280392
{'hecke_orbit_code': 58546795189372249, 'n': 22, 'trace_an': 4}
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