{"id":26975,"date":"2021-05-27T10:24:18","date_gmt":"2021-05-27T14:24:18","guid":{"rendered":"https:\/\/antilla-martinique.com\/?p=26975"},"modified":"2021-05-27T10:24:18","modified_gmt":"2021-05-27T14:24:18","slug":"question-de-la-semaine-quelle-est-la-forme-de-lunivers","status":"publish","type":"post","link":"https:\/\/antilla-martinique.com\/en\/question-de-la-semaine-quelle-est-la-forme-de-lunivers\/","title":{"rendered":"Question de la semaine : quelle est la forme de l&rsquo;Univers ?"},"content":{"rendered":"<p class=\"p1\">By <a href=\"https:\/\/www.sciencesetavenir.fr\/auteurs\/azar-khalatbari_47\/\" target=\"_blank\" rel=\"noopener\">Azar Khalatbari<\/a><\/p>\n<p>Pour Sciences avenir<\/p>\n<p class=\"p2\"><span class=\"s2\">Notre Univers est-il vertical, horizontal ou circulaire ? C&rsquo;est notre question de lecteur de la semaine.<\/span><\/p>\n<p class=\"p2\"><span class=\"s2\">Le fond diffus cosmologique repr\u00e9sente la premi\u00e8re lumi\u00e8re \u00e9mise dans l&rsquo;Univers, 370 000 ans apr\u00e8s le Big Bang. On peut y \u00ab\u00a0lire\u00a0\u00bb la composition de l&rsquo;Univers \u00e0 cette \u00e9poque.<\/span><\/p>\n<p class=\"p2\"><span class=\"s2\">ESA\/PLANCK COLLABORATION<\/span><\/p>\n<p class=\"p2\"><span class=\"s2\">\u00ab\u00a0Notre bel Univers est-il vertical, horizontal et\/ou circulaire ?\u00a0\u00bb, nous demande\u00a0Aksil Tikjda\u00a0sur la page\u00a0<a href=\"https:\/\/www.facebook.com\/sciencesetavenir\/\" target=\"_blank\" rel=\"noopener\">Facebook<\/a>\u00a0de\u00a0Sciences et Avenir.\u00a0C&rsquo;est notre question de la semaine. Merci \u00e0 tous pour votre participation !<\/span><\/p>\n<p class=\"p3\"><span class=\"s2\"><img decoding=\"async\" src=\"image\/gif;base64,R0lGODlhAQABAIABAAAAAP\/\/\/yH5BAEAAAEALAAAAAABAAEAQAICTAEAOw==\" alt=\"imptr.gif\" \/><\/span><\/p>\n<p class=\"p2\"><span class=\"s3\">Un Univers que l&rsquo;on a longtemps pens\u00e9 plat&#8230;<\/span><\/p>\n<p class=\"p2\"><span class=\"s2\">Quelle est donc la forme de l\u2019Univers\u00a0? Depuis une d\u00e9cennie, la r\u00e9ponse semblait acquise :\u00a0plat. Ainsi deux rayons lumineux peuvent voyager toujours en ligne droite sans se rencontrer. Or, un article publi\u00e9 en 2019 dans la revue\u00a0<a href=\"https:\/\/doi.org\/10.1038\/s41550-019-0906-9\" target=\"_blank\" rel=\"noopener\">Nature Astronomy<\/a>\u00a0par une \u00e9quipe italienne revient sur cette \u00ab\u00a0platitude\u00a0\u00bb qui semblait si bien int\u00e9gr\u00e9e dans le mod\u00e8le cosmologique dominant. Il sugg\u00e8re que l\u2019Univers serait sph\u00e9rique et donc \u00ab\u00a0ferm\u00e9\u00a0\u00bb, ce qui signifie qu\u2019un rayon lumineux partant d\u2019un point finirait par revenir \u00e0 son point de d\u00e9part. C\u2019est pour l\u2019heure une hypoth\u00e8se de travail qui n\u2019est pas encore tranch\u00e9e et qui traduit le fait que les cosmologistes ne sont pas pleinement satisfaits de leur mod\u00e8le.\u00a0<\/span><\/p>\n<p class=\"p2\"><span class=\"s3\">&#8230; mais qui pourrait \u00eatre sph\u00e9rique !<\/span><\/p>\n<p class=\"p2\"><span class=\"s2\">Pour comprendre, rappelons que la th\u00e9orie de la relativit\u00e9 g\u00e9n\u00e9rale d\u2019Einstein a chang\u00e9 notre conception de l&rsquo;espace et du temps : la mati\u00e8re courbe l\u2019espace et la courbure de l\u2019espace guide la lumi\u00e8re.\u00a0C\u2019est dans le cadre de la relativit\u00e9 g\u00e9n\u00e9rale que Georges Lema\u00eetre et Alexandre Friedmann, ind\u00e9pendamment, ont imagin\u00e9 trois g\u00e9om\u00e9tries possibles en fonction du contenu de l\u2019Univers. Chaque g\u00e9om\u00e9trie est d\u00e9finie par une certaine courbure de l&rsquo;espace, qui peut \u00eatre positive, nulle ou n\u00e9gative. Si la densit\u00e9 de mati\u00e8re est sup\u00e9rieure \u00e0 une certaine valeur critique \u2013 \u00e9gale \u00e0 10-29g\/cm3, soit 0 virgule 28 z\u00e9ros suivi de 1-, alors l\u2019espace a une courbure positive, l\u2019Univers pourrait \u00eatre repr\u00e9sent\u00e9 comme une sph\u00e8re dot\u00e9e d\u2019une g\u00e9om\u00e9trie qui ne nous est pas famili\u00e8re. Par exemple la somme des angles d\u2019un triangle y serait sup\u00e9rieure \u00e0 180\u00b0.\u00a0<\/span><\/p>\n<p class=\"p2\"><span class=\"s2\">Une telle g\u00e9om\u00e9trie suppose un Univers ferm\u00e9, parce que la lumi\u00e8re d\u2019un astre finirait par revenir \u00e0 son point de d\u00e9part.\u00a0C\u2019est ce cas qui est aujourd\u2019hui discut\u00e9 dans l\u2019article de\u00a0<a href=\"https:\/\/doi.org\/10.1038\/s41550-019-0906-9\" target=\"_blank\" rel=\"noopener\">Nature Astronomy<\/a>. M\u00eame si depuis plus d\u2019une d\u00e9cennie sur la base des donn\u00e9es de la sonde am\u00e9ricaine Wmap et de l\u2019observatoire europ\u00e9en Planck, c\u2019est la courbure nulle qui a la faveur des cosmologistes. Un espace \u00e0 courbure nulle est la cons\u00e9quence d\u2019une densit\u00e9 de mati\u00e8re exactement \u00e9gale \u00e0 la densit\u00e9 critique. Il correspond \u00e0 un Univers plat. Enfin la troisi\u00e8me g\u00e9om\u00e9trie &#8211; hyperbolique &#8211; est celle qui correspond \u00e0 une densit\u00e9 de mati\u00e8re inf\u00e9rieure \u00e0 la densit\u00e9 critique. Alors l\u2019espace est hyperbolique que l&rsquo;on pourrait repr\u00e9senter en forme de selle de cheval, et la somme des angles d\u2019un triangle y est inf\u00e9rieure \u00e0 180\u00b0.<\/span><\/p>\n<p class=\"p3\"><span class=\"s2\"><img decoding=\"async\" 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N1taDSYZotRXdq1mzTQWgAPlEY3GX6YyF\/2TnAPO\/wDCrxBN4e+Imla80ji2EwuLgjk7JGEUw\/8AHif+AiqPOP0GHSiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACsXxlff2Z4S1q+DbTbWU0oPoVjJFbVcR8a2YfCbxb5f3zpsyjHuuKAPz7gkVw0Vwdu0bldv4XbqT7c\/oKqXML20MaMMM58zI6EdBg\/nVzUQt1DLd22PnlJlTumOh+hz+dMSUx332eRVkgiPzRtyPlHJH5GgCOe4MkiQ3EYkKgLknDA9+f8AHNSTQw3d0I7e4CnKxKsgxnHHBHHvziktY7eSbzoptjqC+yf17YI68+uKXT7OYXQZkYAAlXTkZA4II44OKCoRc3ZF+C2ZLia6CeZghIQnzAjoOntisjU5Gm1G4ZwwYyHg9fYVekucahCkLbFtQXQj+8q5\/mKg0+7vWureBLh8O4UKx3Dk46GpR04iaVqUNl+L6kepzSRapMY5CGiIiVkOPlQbR+gFSare3T3EYa4mOIIh\/rD\/AM8waZJqjPcSv5FqVdiQGgTjP0FTazeI2oybbW2KgKvQ9lA9faqOQdf3l1FY6S0d1OCYG6SEf8tZKivpJp9EspppGcieaMFjk8CM\/wDsxqW7vh9g07\/RbY4iYcqT\/wAtD71YTVWfQ7nbb2SSLcRbdtrGeCsueoP+zQBRRWn0Mp\/HBcBlQDJYSLyfoPLX\/vqtCLSL+fQZjNbSQxwTCSOSfEKEMMPy+MnIj4HqaZa63qEtlqUcl5OFMSsqxtsGRInYcdM\/lVLTJHuLm6jlkYvcQSAueWJA3gfiVA\/GgDTSzsV0ZlvNQWV7aTzPKtBvIVsA5ZsL1C\/d3dT6VoadrcUdjELeBbe1hf7O58wvNtcMVJbjod\/QAcj2rG8PaddXckqrC4t5omiMzjbGDjK5c8D5goqxp1vZQi6iuro3MskDHybU7R8nz8yEYz8nYNnPWiRrRrSozU49C5qllOus2dxCpnV03TtkANt4cknjBQqSTx8596r3xS2s5dMsnaUWlx5jyL0mDfISP9j\/AFePXcTxnAfPqUuqeG5LaNUh8iUSeTGTgrjHOSSce9JAvlRRXlyVVp7EiFCATIY8gMR6Dyh9SB15qUa4qEYy5ofC9V\/l8j9DPBd6dT8H6Ffndm6sYJzu6\/NGDz+dbdcP8EZnn+EnhN5c5\/s+JBnrgDA\/QCu4qjlCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5X4nwNdfDrxLFEgkkbT5tqnudhIrqqrX1tHe2dxaTf6qeJomx6EYP86APzRWI213YC2YsJJC8bjjepIGD78EEVFE0FytxIVW3k2clRlOSB06jr2z9BWzqFlLoXiGTR7mHPk3ssTRk9MPgFT2PUVjx2Iltbh7BzONo\/d4xIOfTv9RQBCbeW3tZ3ZMo2Iw6kMvXPUfSn2JNpZTXPQv8i81DbySxW+2IlHeQDI4PT\/69aGpXCxwpBJGkuCCxbIOce1JnVQ91Sq9tvVlS3u3dLlpUil2x\/wAUYyckDqMHvRYTxNdRkWoVoyZQYpCPujPfPpTY1tGsriQCeM5WPGQ4Ocn2x933pLSKFZyyXaKAjcyIw7EdgaZykLtYv9yO4i+riTP6Cr2px6eNSuQ812CJDwIlP\/s1UvsZ2BkltnX\/AK6hf0ODUuo27vqNyQ8PMjf8tk9frQBavE077BZbZrv7r4zEv97\/AHqdp\/8AZqaffmZbubAjwEdYuc+uGqvd2z\/2fYjdCCA+f3yf3vrT7Oxb7Jeb57VU2K27zgcfOB0GT39KAJ9Eu7ZLrZBYI8jxTJmaVmJzGwxxgd6TRtYmt9UszbxwW6rKoJiiG7BPPzHJ\/Wo9LtraHVYP+JhG\/wA3ytDG55\/4EFqsj6fBhgLuaUYI+7EFI\/76z+lACi9uf7Vgnup5ZHhlHMjFyuD71d07TrmPWEfbstorny2mb5U64IBPGcdqZqmomPUb1be1tYSZ3Jfy\/Mbqe7Zx+GKg1a8mvNWe5uHeWRyJMuS2M\/Nge3J4oA1vDw0+21J4POad2jkUyBdsS4BP3Ty3Tvj6GlW3eZ4pbx2Z0luo5nPaMRpgD\/vpsCq0dqsGs3D3bCBd0uI\/+WhGG7dvqcfjWvBaya1qOlabbcNd3MiKi9S0scSj6kk4pdTpvzULdn+f\/DH3X8JrY2nwv8JQlCjLpdsXQjGCYlJH5muuqvZWyWlnBbQ\/6uGNY1z6AYFWKZzBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHxb+074eXw98R3vZY2\/svVWW9jkUAGKXhZdnryEYj\/pp2614xPYS20N8ylTFHxvTsQ4GD3B57191\/H3we3i\/wFdxWsHn3tkTcwxA4MgA+ZAexI5HuB618QrbTRXbT2UhZJoCpIGGVsYIde2WXHpz1oAg0yWW7khWcLNhyd7jkYHr1P41BfNbTo0jPKjGYg5AYdOvbH0q\/odyk9vdmWOOORV37olxngg8dPTpisw2sU1mzQXUZYSj5JR5Z5B79O3rS6nZNcmGiu7b\/AEIxbZspRFPA48yPo23s\/wDexSQWVwrSZhYjY3KjI6e1PWwuBp0zeS7\/ALyPBT5hjDen4VTt\/leQEc7GHP0pnGMeJ4mAkRkOf4hinXn\/AB+T\/wC+f50LPMCAJpAP941ZuL26W5mAuZh85\/jPrQAl3\/yDbAez\/wDoVO0uJ5bbUxGjMfs44UZ\/5ax1Nd3tz\/Z1l\/pM3IfP7w\/3qjtLqc2t8GmlOYQOXP8Az0joAl0bT7o6tZE28ijz4+WG3+IetVTZgH97c28QycZfd\/6DnFM0xtuo2rekqNj6GhbK5bnyWA9W4\/nQBo6uLCLVLku0058w\/IAIx+fJ\/DA+tMub11uVS2WK3DKmTGPm+6P4jk\/kajv4EbULjzrlN5lI2oNx6+vT9ameWBdWf7PCNqSEhpSH+Vfbp0HvQARwma\/u7guEg\/enzG98jjuete1fs0aB\/b\/xItbsx4sdEtVmkYcb5if3effvj\/YrxOFJpoZJ7hiDMREuc5YdTj8h7c191fs9+C28H+AIVvEKalqTC8uFI+aMEAJGfooGfcmkaKVoNdz1EdKKKKZmFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUlAC0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAn0r5G\/aS+GraDrX\/CTaAv2ezvJ\/NbacLFcn7wJ\/hEmAQemQRxkZ+uqpavptnq+nXFhqUEdxZzoY5YnGQwNAH522iu15fRSWyo8sBlQgbHZT2wPlJ5xnHOKxYLaGW3uooLlMFQ6rKvlkkHHXkDgt1Ne3fEz4XX\/gPWkl0+V7jw7LKRbPIB\/o7P8A8sie3OCOmfqa8eu47O31LdIstqkhKOB86rkbZB6jGSR16j8V1Oyr7+Gg10bX6mZbWc4iudsTt+7+Qx\/MMhgeo9s1HZXdwZmUzybSj53HP8Jq3aWUkOpCBJoHdmMJxL5eCeO+O5B49Kjtjfx3cD3C3BQMAS67uM89aZxlA3crPuIjY+8Sn+lWb67kS8mTZb8Mf+WEf+FQSzTRSskiRb1JBBiXg\/lVjU7hvtsu+KHk54QDqPagBJ7yX7JbfLb9G\/5YR+v0plvdSrFO6+Wp2gcRqO49valkuCkFviOHkE8xg9z60Q3Ev2WdgsfLKvES+59PagB1nd3H2hN00m0ZcgNjtmmWltPLdxFkflxktx9etPtWusTupkX5MHAxnPH8iaZHGyieWaRFbbt+Y5OTx29s0AOt40N0JJphkEyME+bpz9P1p1vJwzW8f70\/IGJyST1x2H\/16jjVFiwoaWSXhR0GB\/n9K9X+Cnwm1H4gaklzdq9p4Yt3\/fzpx55HWOP1Pv2+tAHTfszfDN\/Eeuw+JdZj36Tpsn7nPS5uQQc+4U9T0OAOea+xxweap6TptppGm21hp0CW9nbIIoYUHCqOgrhfiv8AEG38I2ItbV45ddul2wQ9dgPHmFRkn2GD+WTQB3epalY6ZB52o3ltaRf355RGPzNZkPi7w5PcNFFr2lPKqhiou48gHGD175H5ivizV9Rnv7s6jq7R3t7dBhG97DLJ52Dne5k+QQqcngAEjoAOMzy7PULeaUxadf2JkMlxNbzSW097cAZ2KshAwN\/ZDgc9TigD9AkZXQMhBU8gjoafXwRpXiLUvC9wl9aaxqHhzUZl22mlzswtkHQSOAPudcBk5PJJGc+ueGv2gNU8OWVjF8S9OE0twFMdzYKM+X\/z0kAPlknggIRxzgZGQD6borG8O+IdM8SaZDqGh3sV3ayoGVlyDg9Mg8j8RWzQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAjdK8u0gN4l+J\/jKx1+WeSDSvsqWNj5rRoIpItxlwCN5LZGTnGMcc16kea4CX4cWj+LJNefW9ckmInEdu86GKETKVcR\/JuA5yBnGQKAK3wr1O6a98Y6fcXct1o2k6obaxu55TIQu0M8RkPLeWx25JJ7HpWz4p8c6Z4f1mz0V4rq81u8TzLawt1AaVckZ8yQrGOR3bPtXMWvw+g8J6fZxWs2s6\/piXURnsrsxyhYUSUARxhFB\/eSKxHOcZ7V1uheH4bnwNpOkeJbK2vfKtIo5obiNZUDhAMc5yR0zQBgeN7nXV0\/w1qLXVxpDPqthDcWELrJu8y6jRkklA5G0kYGOT1Nejr0rkNd8DWWp6Tpul2t\/qWl2NhLHNFFZSJ96NxJGSZFc\/KyggV1UCmOJVZ3dgACzYyfc4oAmooooAazAKSxwB3r5X+MX7RtxBqNxo\/w\/eJY4iUk1V1Em9u4iU8Y\/2znPYdz037V\/xDl0DQ4vC+kTNHqOqRl7mRTzFbdMexc5H0B9a+OdntQB6d4d+PPj\/SNQW4l1ttQjz88F6odGH6EfgRX0t8Ofjx4c8VpHDqIk0e9fIAmO6JyOuHHT15x9TXw35ftitPQZDHceTmQbhuQxxCRww5+QZBz9CD09KAP0xgmiuIElgkWWJxlXQ5BHsRUwOa+JfBvi\/XdKlt5fDuq7Yrxyhhhy8MdwvUGFhvEZ3xkttOC\/Xjn2Pwd8e7W6RE8SafJbO7GJprb5ljlHWORM5Q+nPPPAINAHu9FYuheI9I8Q24l0bUba7QjOI2+YeuVPI\/EVtUAU9RsrfUbKa0vYIri1mUpJFIoZXU9QQa+dPil8B3WK6vPCJeaHG7+z5cSFCB1jZjn8M5+vFfSuKCoxzQXCo4adD83tZ0eSGcw3dpJFewfupYoydygdD5bfNkDgg+3vWTqMCGdLmOfy\/O+YhkKlX\/i6Zxzz9CK\/RDxj4G8PeLrcJ4g0yG5dB+7mHySp\/uyLgj6ZxXifir9m6R2d\/DOufujyLXUU3BfcOAfy2\/lS1NL0n3X4nyvdvO28peI0T87POwPyNJfCdpkYmElooznen90D+lesat8CvHVkXV9BgvccpLbyJhh6EBgR7cVyOoeAPFkNvEZfB+tKVzGR9jm9cjHHI5\/Sncjlj\/N+Zyd0JBBajMWRGc\/Mv980skkwsogbgLlmP3+3AHT8a6hPh74ru5II7XwlrTgIAzGzmAUnnBO33rqdK+Bnj3VZAR4fW0t4wFU3c6xkj6Zz156d6A5V3\/M8pZFFuimTLudxwpJI6D+v6VYs7Ga8uYbKxtZrmeRsLGilnkb0Cjk19N+Fv2XW80TeLPEAPrBpseOP+ujjj\/vmvdPBfgHw34Mg8vw7pUFrIww9wf3kzfVzk\/h0oJ0R8+fCb9nS7upItT8e7rW1yCulxN88g9JWHQew5+lfUun2VtptlBZ2MEdtaQoEihiXCoB2AFSTyx28MkszpHEgLMzHAA9Sa8O+Jvxvs7RZNO8J3MMtwTsa+3xkJx\/yzVmGT79P5gJO0+JXxEtfCcbWNnsu9dlXMdsMt5QP8cgGTj\/PA5r5S1nVLnVdVuJ9VvSb24UyzR3Es0Al5++2FG2LnvgnAAwKi1C5muJHvtVc\/Z5CC1xeR3EkMjZ5x5creY2Tng7eOSTUZ8yKPyvLv3R33mzsbj7V5jHkG5jOGAzj5CQevTqQA8yVYLm5Fxqq6ceZrzTr1ZGuiuAQsYHyxAdjtAHX+BBVYq5W6vbTTdWYRobLSliFtNEvUEoMEj\/Z\/ebs5PXJcTvvUuI4bbWtWU7Vn0kBfsfp+5+62OuQoQH+Nj0jeWOBjcxbfEepLIS19bACe1Y9DjB818n\/AFh3oCPkYn5qAJFuJLaQyTzjUtVf97Fo2rqh8hieST0z0xGPLJ4yMAAxWcIsnnvJ3mbVLzMn9ham4f7TJniSQnGfvEhSA57Eg5Kz+VpdrJdaqY\/EVzEw3PtBm0\/0M2c726DY2+MEYznioprVXsV1bxfNPqmlSYNtcKpW8fOcAk\/dTg\/eJBxiM9SADQ8J32rW3iCXxLp2o6jomoxymK4gLgtdSD\/ljCH4cjgGNwdox944FfSXwb+OOneObxdH1iD+yvEaltsGD5U4GSdhPIYAcqfwz2+WbpbvxHPHFqJhn0tIylrqcHyRWMQ\/hYH+AcfI3z5IwST8xq1\/CLcaMZ2iSeJdutn\/AJfcHI8wgZ8oHgfxAj584CIAfodmlr5z+CPxYvrOCx8OfEq7jh1CVhHp9zPJmWVO3nHoAeAkhPz579T9Fg0ALRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABiiiigAooooAKgubiK1t5Z52CRRKZHYngKBkmp680\/aA1l9J+HF9DASLjUSLJMHoHzvP\/fII\/GgD48+IWsz+L\/GOq63Nki6mJhU\/wRDiNfwUD9a5k2nqtdQdPxUT2J7A0Acw9oB2NEERguI5kJzGwP8AjXRNZEfw1C1of7v6UAX7Mi+s9W0831tfvHGJ44r9DFLuiJDfvQegjLn73QDgDitWaRp7uzN+l1FFqsAjBuR50YnUlEPnR4bGUQ5GeJXAx1OZokd5\/wAJJYibRTdadPILVrhbcocSp5bjzFxk4Lffz7g1Q0y6sv7BuFtL\/VNHubC4EqFWEn+s+V8ldhABSPoD1PFAHQ6bqMp8vUIZ5Uy\/lXM9m3mvBKB8lxxiRCQDuJU79rZ68eh+GvjH4q0jfFe3kV99lm+zXcF0vmGF8gb94xJtY5HQgH2wK838ptR1W5iI0S9TV7UXMQVhbM05G4bB+7JYyI8YHOC\/eomn2WenXerW+q29k0bWV2l1b\/aQEGPLcbgu35dvI7w9D0oA+m9B+PGj3DeTrdhdadcR4SQowmRWx37gHseh9a9B0bxv4b1khLDWbOSU5HlO\/lyAg4I2tg5Br4iBSKGeKd7Oe605zbXMMc5hWa2zgEiQFODgAjGMxkHjNWVhni+0JGbq6S3h82NzF5sVza4Gx90ZIWVAeoBKgEfwYIB98KyuoKEEHkEcincV8Laf4l1nS5Yha6tchpk+0W5juJbeSeIH6AeaNpyDlDg9+T1dn8VvGdn\/AMemtDUEk+a3LPDKbnGMqg6+YO8fPseRvAPr7ijIr5Vsvjl4vzEDDBcCQkKz2zDzPUDAGJBx+7PPoTkZ0R8bfFxRNlvpHzPjMlnPFn2OXwjezYz2JoA+lwVpcivlWf4yeMbiRme50\/TvKYrIHg8kKc9H80ZU9sep61h6h8SPFupSuW1u5\/1TSTQwHaIk7PthJcg8fMHYAc4xQbzw7p8vO91c+ttW1rTNIhMuqX9rZxj+KaUJ\/OvMfFXxv0SwDW+gQyapdkEgk+VH9f7x\/AV83zXNwsiT307nzcZF3OIopic9JZMZIzkqYx15PIqvGkMs07pbTzRIAHt4LXcYemXkjl\/dEDnJA+pXNAlSg\/tL8f8AI6vxl4+13xZcFL+9KWwwDBbv5UaEnoAxXzD24ck+lcpNncoLuWK\/6qWR1BxyMWs24zH6fL228Ut5cwq+n+Xd2iJM4jM283sRf1BIPkPz0TBHBGAAaff2sthNHGPs8BBMpivnM9yVJ4ktpMZXuVxjoDuk6hXKWFm\/h19H+m5VhVkdrqF5LeUR8XcI+z6jtAx+7txwE\/3fQ\/vMDFRkB7FruA\/Y9NZPMa\/tR5eoOOuZIwBvGcdMR5AzJkZpyqJm82wtLnUVgPz3+obUu7EDoxz+728dXLdgDGete6ns7a5gv767fVr8kiHWYdyw7+gWbHzyP3PRuc\/vRjLMZRcHZokUteWjz2oWy0rOJdet22ybh2nwASeQfLUAnGf3mM0wThbqG30VJYtQugRBr9snzXJ7jao\/dDnkj94P4s5xUs9reNe28uvXcGk36x+XDbxLH5V5Fg8LDxHGG9ThGznGetW1urm7FzY+F9MWBGyNR0dwS0iA8u0hwdozz93ZjPTJoJF2Wei3aPO1mvid03RSx4\/s9ge7EfI5IyOP3X97PNLZWF5e3k2qahLNpuoM5jnglTzP7QwOUhjPDHgAofk5GCOFqADSdGsCW\/4ntn5gzFuBTT5D33f8tD9MRvt5z0VJ7K91xmOtX0RswN1rrcp2RRjtGe+3PHlgFo8cDGQQBh1OTUIBB4d09F01TtuNDGXaQ9PMJ+9KfQ9Y84AA5Nwxaf4WtT9p\/wCJtFJMNtrhJV02THWTqjy\/7A+Rtnzcgosd1qckN1cW+h+bbeIIv9ZfSqBcX4xztwSEJHYEmUE5Jzg1rCwhSyOuzD7Jo86bbqyCkmbnH7kHqpbo54jPHJABAGiyvPEN3NbapdpMxUzwazM22JUJP+tkP8BORg8q3AHUV9Nfs+\/FWHVLj\/hCdZubh9VsU8u1u7sbHvAv3gR2Yds5JAyec18w6jfRTW8OkKqW3h2c+bYyKT+7k6b5T\/E38L9h1QAYBt2kNxo8lvqWqLJB4i0r97DaxsUmdYyNry45Tb\/30yj+EDcQD9ER0orhfg945h8f+B7HV08tb1f3N5Cp\/wBXMOvHYHhh7Gu6oAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAA14T+0HI9\/rGm6ehJjtoTMw7bnOB+i\/rXuxrxfxpZnUfEl\/cMMjd5Y+gGKAPE30j2P5VWm0k4+7+lepy6Kf7tVJtF\/wBmgDy59LOfu1Xl0s9lNenS6L\/s1Vk0bH8NAHi3iPTJ476Ce01K2sboJhBJOYWfBJyG6DqOpFb9zH4gvPEGvtc2Y1G2vraS6EywJdopwJ1jMo3HHybQu70p3xW0S0UadLfXn2FD5gVzCZATxwccj8jWNa6XD\/wkfhnUbXVtLcSx2+5fPMBHlsYSQZFXr5efxoApSalbRaZpOoXOj\/Z7nT7l4EFtNJFswRKu8SB+CXk4GO9X7ddMs7vWtN03U9UsBIv223byx8oX94jgq4P+pd8jH8qTT7bxZHomrWETXd95TRzi3huhdruRjGytECwPEnII7VJd32p2F\/oF5qmiQxb41jujJpohwEZo3TChPlMWzIP96gCSG8W5Ok395qmk3dpdA2F81xDiVioVC\/mNGGOI3iYZb7wPYVHHb3sFoWXTtJk1XQrrBSC7HmGEud2EEvQScY2\/8telZvn2BtNa0u\/0S3gawl87bbTSxyEq3lOAXaQA\/OD0x8lXPtehSX+nXt1bagIdUtvss8v2qOQRnHkszfuhlxhZevJIPegDUtrK\/he4ttMs\/FFnZSx\/b7GWCVyY2xkxZEY9Cvu8a1Bb3EEq+fNDfpZ6i2JC+nxTfZboY\/efNyARg\/RiByoIw4I7GPTpY5H1O21DRLjzN8caPJGpcKe44WXb36yGtdpNKnv3t7fVdXS31uPzrZBCuIpd52AHzezB4+ezfiAAuVVxcS3dlfM0beTqcA0uJSxyQJkweHB4J9T6ORT2tSZWSYXM16sXmrJ\/ZUZXUYOvOTy4HPr8pH3l5p2+paesFtqT6prUn2QCxvIjbhTKhBC5\/fcfKCme2xT1pZntl36bb6prM09uPtumznEZZMbyB8x6gbgOzKQOWNAGxA81zbqWk1C3lK7bd5LaOIgAYCTYXAjI+XdjA4zx0hu3k2KbxZFW2kzcQXOriWXTjuwDEFIdV3EAgnrwcHa9ULm60i6021aaxuzY3b\/PFBIqNG\/O5k+RuM84A6HFPMOqxtLNB4X8y9sv3HnyRzSrPDjGHYEI3ynqRynpt5SPSzLSUF\/dj+RM0sa3fl+dpH2y4XesVpama31KMk4H7zH7wHgENnII4kHzJvXURb3aw6xqtnEw2Xt7KfM0454EhBH7v0PmAcHGCCKV1lgRIUvdH0vS52L2VzHLEZbKcYyPMj3P\/cDYPKlG9qqXMkTyz3Gp39ze6tZIwv7VYmeO6jyAWJkIJPygsQP7rjkE0zzS7unhuDC19pdjqMoLNb6cgki1KM9ACuASew8zBPQLIOath9luIGTRtJvdU0+NyZlnXzrjTmP8aIMAJnruJU9DtOCYLZrGX7LZ6RpjXFhcEtaXNxm6mt5v4kdUAXbnGRsJxhhnpVy6XWZ5Gk1jUbey1S03efZSyB0uIernyIs4OMlhgBh83UEkC5aS6axuLZdb1exZywezlswskc69MORiKP8Au5zleQwIwRV0G4nee\/g0CzWwvrcPJeQPGd7KDzyDlNnqu0jk+tUbe68P2Vmuy2ur\/R7ubrcEBbKXHXy1O4kdfvAOvB5Hy2Jl1\/UGWxeX7LNasj2U8LeTa3C4Hlhegd8bCh5cgYOcAAsdkMZK3LUXMvP9Huhlzp2naXYq2vTXd\/ply++KK2IM1pKcE75SMAn0AIkHPykcNlutU1aVdMtglpPCEmtJrAlIZ1X7plkJycY+WRz8hypwPuRzX9oNKmmRjeRhgt5awoUhgfPEiZ52HnjAAbjoRmWa2n1PTYLCFl\/s25wbRYk2+TLnHIHUE8NnJHB7czfuXPDRqxc8O723XVf5ohC2WnG5vkjjvdXiUre6bHlLVh\/ESBgsBgbkXAB5BAGAwSXWtOI40nudDuAdkMYUf2aR1IHCR46k8BlJJIOdsn2WGzdbvVbpn1+xUma0s3BeVU4\/eOQV3AfeA35XqBgk1LrWPOt41t7dbfw9efu5rG1XAil\/nIwzlCxJwcZ+9VHAaHk2mmSRabM0Ora\/bjNjMoJtsHlFB4M3HMfAGTj5weM6GfUdfvzrNuPtN7gR6lFKwEZjxjexPCxkDB6BSBjGVAsx6ElsBpviKfbd2xL2ltbt+\/lTG4ryMRhvvLu5yT8h3VXvvEEl1BHewwRxWDOYr6xiHyyE9HcnlmYZILZwwJGOBQBaU6dojLY6bOt2btjLa6jMgMVtJ0Hlg98\/K7kDGAQOFJzrJL3U2GolljvbB9t7PdEhSvODIe56qR1PGATmrKaJDZQz2WtSl8E3NlbRkLPKNuTkEHyg6YPPOQMA1BdaxNqk9hI4C2dzm2mtIQdokOAXxyWcgq245O8egAoA9b\/Z18XWPhj4kxaBZ+Yuja4uEnmk5ebrEfQfxR46knk9h9j1+cMDf8I0tvcu6Ta3pN0JIYVfIhO7IMhXrhl+6DwWGT2r9DdB1GPWND07U7cfub62juY\/o6hh\/OgDRooooAKKKKACiiigAooooAKKKKACiiigAooooAa52oSOwriZtM3OWcck55ruKY6K4w6gj3FAHAPpPPK1Vl0gf3RXob2ULfw4+lQPpqHo35igDzqTSP8AZqs+jA\/wivRpNL9gR9arvpZ\/uH8KAPmj9oTRbZPCtncXbywwRXW3fFEJDyOOCRxx614zqGl6ddeHdHa21+xQRNPEGuYJo2PKNt+VHHHmevevqj9o\/Q4ZvhbfSXLyQw288MjyJF5hUb8dMjPUd6+VBpOnXPhlhF4hs1itb0YM8E6\/62M9ljbn9zQBqzaRJc+LNZf7bpTJqUNxJ5f2uMEtJGZY1AYj\/lpsAqpbabr0nhMRafdF2trwkRWt9G5Kyx+iuf8Anl096V7BbfxP4dv0v9Oe1eK1k83z9oIjPlMcOAesbdqo2ukT21lr9i0lpJ+6DBVuYyVeOVeSM8cFh+NAHXKvjSXxHZi6i8RfYr+1jim3RTeUjSReW0hHQ4k+f6isGG411fDl3DLpkf2q0uFlCT6PC5KONjn5os53CIfj7Vk3NjdNoOj3UbW63FpLLbDFzFwARKh69cyyfkK1VhuE8Wapb2c7Jb6lDI9uiXIzmVBLDH15O7y1+tAF7+07+bW7Ca4srMW+rWwW4f8AsuIbWfMUkjkR5P7xDJiqa3eqXGiXls2jWn2zTpt67dPU4jJ2vjjHD+X+ZrO+2apN4VGNQuPNtLrqLz+CVf8Ae9Yv\/HquzXt3J4mtZrm+kFtq9viVmucqplBjkfr0EoZsegFAG5a\/25da1BPHoeLDV4Ntwy6JFIIpDwzH930Eq+Zg9sVSkh8T\/wBl75rWHStT0qb5XMFvZMIi3OOFxtk9OvmGuYe0nfQb+0uJIzcafMJwpkBKhiI5R\/315X6+9X2a3S\/0\/V7m4gSC9iMF4iByenlSkYXGSCJOvVxQCOnvLtr6BhJfrape8PLJdAeVIeU2uCQUVuP+ueeh6YF5aRPZGa\/1yOTVNI+WURQyzSGPeAFfzAoO1jjqRhgO1Wb7R4xoDWd3cOstkHceRHv83a53YBI\/hy+T2Q1VfUdNhfT9ckt766abda3gEqxhiECtkbTy6MD1659OFA9TNlapH\/DH8ggHh6Jzbu2oS6VqYDIT5duIJQeDk+ZjBLD\/AHHzS\/2q0Yeaz0u0t9Z0ltjCYNNJJCDtG7ccMVJ2njlSOMJR5ttDc3+iw6ZZMYs3Fi8pkk804B7tj95FyMAZIQVJa67r95Fp19pHnyTxP5F1bWUXliY4+UuIwN29AV7\/AHD60zyy5dRarNFtu5XsfDeqLlI5nW2jtZO\/lxnaDtPXYOUb1PFE2VrblEutSd9b0kFlFjHktEhzt8xsAlRkggMNncgClPh2UXdzp19d28NrfkS2kt5cL5qP\/CXQZcd4246\/7tRJJpkFvDffa7u81LStqyCCIQB0zhDlskhT8hyg4KDHWgBBq1jZ4vLDTYY9JvyYbpGHnPDJ14DfJkcMp2jqR2NWjpGr6xbNZ6i0kk8D79O1K4l2LMH+fyldyMhgfMUDJBJ4+c4hTWLexuo1020s9P0vUkBEyqZZLeTkZ3OTgxtnkYO05GN1Qf2brWt2c\/2mO4N\/pchAvJ5Nq7MkshlY4ypyw56F\/QUATSXGlW3masJG1S4x5F9Bb5ht5GYffJI3MrY5wFw4yCMrUn9ryC4i0y2a3g0u5xNYiNNihjwPM7sesbFicEZBwKikOk2dwupXty91HeAwXdvYL+73YG794\/Q5xIMIRnoeKbJqdxEl9o+nxRWBjDTW0lqTukXAJHmHLEOgDcEAkDjmgunUlTkpRdmW72xkfULa6uvM02\/tkHmQCNWmUL0BjyOccYbHGO3WA6rbadOsekQf2dpmoIVNxvJnifkHL\/w7WPRACYzg5zUFlZXt0LDXFiWGMsI7mWdjGkzDuO77h12gnIJ71r30FnFFqPkQxXb7vOtnnQ7Nw6ny\/Vh2PGQMj0haOx6UqH1yk60FaS37PzXn3Rh22lX11YvJNILGXS5TtvJHIXbkkhSMlirfMNmThie1Wk1KwsryJ9IiMMOpAiS8lAQwyZx+7UfLEA2G7kAjBFUTe3urXun6jslvrhc21wi90Ax0HCAxkj0+Un1qSSxsNKtr6yu5RqVzat58UcZxEBwCWccnIKHCHHy\/eqzyiCxt7u6tUuZMQvpdxia4uMhVBJYA9yQwfgcndU895b2KalY6ErokiC5S5kI80jrhf7o8tiDjk85OOBHPdXuuanCgzIL61KpDGvCP3wBwMyR5J9DzUlobTTjpzzbLy8w9qdjboUBznJ\/5aHEmMDjpyelADLWyWRHvb9mjtbqzBCqf3kxjwX2j\/tmTk8fXpX3N8Cb4ah8I\/C86r5ai0ESpknAQlAMn2UV8LaRBq3iTVLSC0hmvdQmWa3RUXccFCAMDoBuP0r71+EXhy48JfDnQtEvXDXVrCfNK9AzOWI\/DOKAOzooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAxRRRQB538frT7b8HvE0BkWNfswkLNnACOr54BPaviKx0iH+wNYt7fW9JueYZ+GmjxtYr\/y0jX\/npX318TrX7Z8OvE1uOsunTgf9+zXwBpOh3i2msRpcabIJbP8Agv4T0ljb+9ntQA\/UNCnuNE0hku9NMkSy25DahCBgP5gxlv8Apqa2ZNAv5fG+oSsbLy9RE5CxX0Bw08RKDHmdA0i\/lWI+g38vha2CLbkx3knIu4jw8aY\/i\/2DVybSNTXxBot79nCosVqS6SofugKTwf8AYP5UAVLbw\/qEvhi9hKWhkiuYplP2yHhSHVv4\/Ux1autJ1KCfw9qUfkGSKFMkXkIw8UhAAO7n5RGfxqvYeH9Uhm122+ySIrW8qbTjnZIr4\/8AIf6VCdA1OTwzEv2Jw8F4+SWA4kjHHX\/pkaANKHwzdwar4g09EtDbyxTJEftkI\/1beapGX9I\/yJqrc6Dcy+HLYSXOmJcWdw0RP2+D7kg3LyH7FZOPerc2k38Ov6JqE0MTxGG3MyNcRDeqARMv3+QRGc\/U1UtvD13b\/wBt6ZO9qg2Ex77qFcyRPnJ+fj5PMH40AXv7Otv+Eiju7vVtOtoNTi\/egys5zKhSXHlowwJN+Pp1qjFpVgmkalY32sxvJZyrcKLe3lYrz5cgAkEfJJjz\/wBc\/amT6L5vh2ze61HTLd7SV4WY3PmjY3zoP3W\/v5v6VeNrpg8Sx3k+s2yR6hHyYYJWH71DHITkJgbi\/wCVAIttqNrb2dhfXUt3d20JQAhRHJKANuDyQAQMHqaqwf2RaXWpaLBpstwJf31vJd3JKSlAXjO1AuN0ZYDnq47ZpXsLYaDJHdfanhtELuigRykhsEYOcYJOevAJqnNqljb2ekapZ6WWuoGMO+4uC\/MWCpIUJn5WQfRKiOx62b\/HD\/DH8hg8Q3CaVaXthbadbXNjJ5TOLZZHCn5oiDLuPBEgyOny+1XVu9U1rWDYpLf3Wm6rD8kKF5FhDHIwo7RyjH0U+tNOo\/Z9euNP0+xsLK2vI\/3G23EjfvEEkPzPuPXYOPU1mvf6rr\/h82r3V5dS2k4Ih3s+5JOPu9OGA\/7+e1WeSWI9Cu5NGMWoz2tjcae5ZfPnG9YicOCi5kG18HGP4mqzLLottdw6tcXd1ex3iNFdR28QjR5MAS\/M3PO4OPk6kdMcJJpl9BrFlqV7FHaR3abblLl1hbODHMCrEHJGW6fxikg0e0tYb7Tb29kuTFJ5iizgJBkQ4wGkwPmUt0B6KeaC4QlN2irh9u8htQ0qxsbOCS33TW0pHnsxUckGTI+ZBkEAH5VxUH2jV9ak0\/V4Rc6hd2w8i4DgyDCjgt2CFODn+6SetacQCfYbm106CK8twF8y8kM7AJgoeML04wQeFHrSyt9puGsZppJ1uW\/c2RPyA5ygjUcA9hj1x3qOZHdTyuu1zVFyrz0KP9g2ltc3llcXsf2adPNt0tx50nHMZJ4Qcb1PzdSeOlXoTFBDZzW1tHaXNpwLi5Inl2A5XqNoIOecZxjB4qOQyQWDySNFpkcTBClz98A5xiNctng9QB7ioTd2CamLeKOa\/F\/CFiNydsQZuVUIvJw4AySOh4o1Zolg8Pu+d\/cv8y3G8t\/qe2zimurm5XzBISWXHIXLE8DPAzjFZ801tDZw313dC5vLScZt7R\/k5+ZcuRg42sDtz25rLu9UvNR0eGNpSgtbjEcEShFG4fLhFwMgqecZ+ark2nBb+\/W\/mS1S6i84RY3y5wJMbexHI5x3qkrGFfH1ay5No9loht5eyTG\/02FI7eymjE8MEA2J8oEg3c5Y7Nw5JOSOlS2lgqXGk3GqObYzxm1aIjMsn8A4P3BsZRk46ZGahttVhs20ma0iMECOYXnYh5tobccHHy8Sdue2aqaZpGo6wW0+ytZbjUFucKiAliSDn9UFM4SYasY7C0S0hW2s4rjEiBsvKOD+8bv0PHA9q6j4bfC\/X\/Gl+kFjbtDb29yTLcyqwjUcDr+HTrXtHw1\/Z3jN1JqfjQ7YZZvOTTozyOTgMR04PQc\/SvpHS9PtNLs47TTreK2tohhIolwBQBx\/wy+Gmh+ANPEWmxCS9YfvruQfO3qB6Cu7xRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAZfiiPzfDWrJjO60lGP+AGvzr8PaRdR3VwrSWLrLZXAwl7Cx\/1TMOA+eoFfo9qS79OulPQxMP0r84NJsoY9cPlalYyvKs8XlZkQjdG68llA7+tABbaHqbeHL6JYYyouYZABNGf4JR6+4p+q+Hdbm03RtmlXkgit2hJjiL8+dI\/b2kFV7TS7qPS9ThLWbF1icCO8hfo4HZj\/AH6fPoeoSeHrELbZdbmfOHXONkWO\/wBaANqTQdXl8eXEo0i\/EOpSSKH+zPhPtMZHp2839KydN8Pa3Lomq27aNqAGIrtSbWTLFX8vA454mJ\/Cp5NC1VNf0qdNPunQR2rEpGTjCID0+lRWPhrVY73VYP7KvwnkTBcwPzs+Ydv9igBLzw5q8uhadI+l3MTQtLbsZV2fLkOOuO8j\/lV99IvB4uguZVSKC98szSyTR8edGBKRk84Lvj6VmRaDqx8OTxPptyrJdRsN6beCj56\/7opNU0jUmt9KlFttaK38skyKOVkf39MUASWOh3C6bqtpcy2EbhVlRft0JIkjfBBAbP3WkP4Utxp9jPodk8ut2Km1aS3PlxTMdpPmL\/yzA6mTv2qymi3DeLboLJaRx3Tyooa+hViJUO3gvnncKpafp0T6LqUEup2EbIYp2H7yTaASmcpGR1lHegDr5xaveLIZpPsd0vmmRYgSRKnz\/ISP7z96yrfTbCHSri1WzncyvHIGmuspvTIzsVQRwzfxHtWdcmzg0fTGXV5xGolgY29uW3MH39GK9pFq19q03\/hJYotl9dLd7Au6YQIomjH8GH6b\/wC92qLNHt1MdhKsY+1g20kt7bF3csC2r28Gn2k1su1H8jziBuLDmUnBGTzj+VOa+d7yW3GoXC\/bfkW1SbahDkEAAYGOmK56y1OH+zdRji022VoRHP8AvWkkJZX8vkE4\/wCWp4xRe6\/qTWGnXUFx9mZd0LfZ0WIEodw+4B2cD8KfI+5j9fw8P4VFfNtmxbWGLGWS302VbaAeYHmTYhyQCQz4Hp+VLc3EVtbWlxc3ttHG7FJIYQZ3yp5AYfuyNpQ\/f71lwWtzqXiW9aCC4uobxW3OiswXzVym4+zFevpUEOkE6PPHfXVlatDIJQXlEjAEbXBWPcRz5eMgUuVEyzXEWtBqK8lY0p72yjutSsDBLeSRrIySXEu2N\/L+YMETBGUB53nOazrrXb59KtZ7WYWnlOYGS2Xygy\/eXOOT1ccnoBUrS6XZXulXrzXV4xiTIXEKpsJTk8k8KOMDgjmok1FrZNVsrW3t7Iw\/vEKAtIZEcD7zZI+Uv0xV8pwVKs6jvN3JI9KuZL2++zxbbG+hJR3IRTkCVRkkDIIAPpVOU6fFYWzyTtdzW7lcW+YwQfmHzMM8Hd\/D361G9zczz6Vf75ZpkOwySZc7423fUgKyV0nhj4Z+JvE89zBoemTTWhlwJeAgwTg5Jx0z1IoMzKuNRkW91CGzRbGK4hMyeQMOcgSjL9enbPeq+iWV5qN1owsbWWYqTE3lrnI8wkj8mr6V8Ffs0RxyW114r1AF44wpgtuS3Xq54HGBwD9a948LeDtB8LW4i0LTLe1wMGQDMh+rHmgD5g+Hf7OWsapbRN4rf+zrPf5ojK5lPGCMZ47dcdOhr6Z8I+CtD8JwGPRbJY5HyZJ5PmlkJ6kv\/QYrqKKADFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAVdTkEWnXUh6LEx\/SvzZ09dOl1pWE93CwcnBiWQd887hx+FfpVPDHcQSQzKHikUo6noQeCK8r1b4A+Ab+Yz2umS6bMVYZtJio5GOhyO\/agD4msrSzNnqKpqUODCvMkUgA\/eJ6A0slhv0W3it7uznAuZDu83yhykf\/PTbX0zqn7K9kkNwNF8SXEfmqF8u6tg\/Qg\/fBGOnpXH6n+zF4sisY7ex1HTLra7SZLPH1AGOR7UAeKanp10JLOQPZkrBHjbdwnpx2b2rRGk3UHivUkjhDRlru3TDqfvLIg7+pFdrrXwC+IcaW6x6LHMsMQQmK6iOTknjnPeq118KPGy+L3vpPDeofZGvjMSkRP7syZ7e1AHB2Gl3zaZqUJtjjy45gSR1EgT\/ANqGkudPuv7CsxKIkEdxKnzTIMZWM9z9a6W0+GXjS2ttQjn8NakDNbiNP3J5PmI3\/shqFfh14xOkNbnw3qQl+0BgPJPTaQf6UAY99DPDqOm36Pa5jhgbi6i6xgL2P+xSWtjbpqepWy31v5ZS4jEREmW2glf4cdVU9e1b118MfGdzBYLH4c1HdHD5bfuH673I7ehFa3\/CqfHE2vS3cfh7UBDKznPkOOCCPT3oA4SFLR9DlSa8dvKuFkURwk4DAhupHXCflUt9JYCz06fF7M6wmNXysPKyHB\/i7ED8K7ux+AXxBnjkRdHCBwPvzIvf3IrprT9mvxhc2VvDczWVv5bO3zSg8NjjjPp+tAHlTXNkPEl1HDYRn7R5oDTSuf8AWIccAj1FUIdbuRp80cCW1uVkWRfLhVdgwQcHGcn5e\/avo7T\/ANmG9k1CK51HXrWNoxH\/AKmNpOVAHI+X09a6Sz\/Zt8G6VA9zrGpXLxRrmWRikKfXnIAoA+RbzU7q6fT7ie4mneEAYkcnDBu34ba0rXRb2bV9TtbKzllSUSRxfKeedy4\/IV9cx6V8FfB1qJLi50UlR8zS3P2hmI\/2FJBPsBVhvjT8PNClFpo8M7q8fmI9lY+VDJ6fO20deMnjPU0AfOnh74IeN9fsYYRpctrGsryebOBGMOFGfmIJ+72zXrHhz9mffdPeeI9YjEsoPmRW0ZfORg\/OcAHOexrR1T9pOMTS2ukeFpzeKOItRvFt3b6KA24+2QT2zXJ3\/wC0P4uvYmn0ew0uO3iGZ4UglklX1IJ4I75xx3HqAe7eFvhL4N8ORxpaaSk0inO+5Yyc+u0\/L29K7xESOMKgCxqMADgAV8P6r8WfGl7BIbzxVfyaeSuZ7QQ2ktqTnh1jGW\/kexrltU1PUdQmtptbv7q7kVv9D1JnmlU9OCCR+PAbnkEUAfcuq+OfCulQNNf+ItKgRW2MWuUOG54wD14P5Vyeo\/HTwHaPAsWqT3bTZ2G3tJSh\/wCBEBTzx14PXFfHQRba7ADW1jeSKAM+UILsfRd2Acf7hP8AdxUiRtI7W6wyiRiWm026EkmT6xbiMn2+\/wChagD6V1T9pCxjlkt9K8NXst4rALFf3UVp5g\/2T83PoO\/bNcyv7SOu3F5FcWOhafJYRtm7sw8puY17\/NjB+oBx3ArwpGiaBY4T9ps4lJ8gyKLm35ySuxTx19R3IHFSXWZI457uSWeKFQI9SSMmeDHQSK7D2x+hOKAPuX4ffEHQPHmnfadBu8zKoM1pL8s0P+8vp7jIrsq\/O2zv59M1KDUbS+bTdSBzbajZPlZR33iOPjjrxn1U5zX0h8Mvj3HPcR6P8Qo006\/4VNSA2283pu\/uk+o+X6UAfQVFRxyJKivGwZGGQQcgj1qSgAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoooJxQAUUmfasvVtf0jRYzJrGqWFgoGc3VwkfH4mgDVoxXnWqfGPwDp16tnL4jtZblwpRLdXlDZ5HzoCvOR1PeuUu\/2ifDxmubfS9H1u8vY1OyJ4VhEjDqgJbO72x9MnigD2\/ijivly+\/aW1S7s2l0TQdMhmjBZ4bm8M7Kn98eWBkeo6jr06c1qnx18c30cd\/aXlva2KczwWtiMoe4ZpTkKezDvwfcA+yao3+p2GnIraje21oG6GeYR5\/M18Map498T3amS\/8AEmsXuk3Y27o77a0L9cYiGA49DwR+nN3WTiDVpPOs5lMlrqCxtLt5GcmQ5xn7y9QeR7gH3BqXxT8EadcNDP4k0+S4Qshht3M8gI6jbGCc8dK4+8\/aG8JC1kuNMtdZ1JIz86wWoTC\/3vnYZH06d6+TZWeSUWWoTpbXwjVre7SUbJU6qHKDkej9uh46SSJc3F87GM2WvxEfN5J23B4GMuflkPPtJn1PIB79qv7SkiRrc6X4diNkWVJJbi+BkiJ7NEq5B4OOSD7ciub1b4+eNJmWOObT7G0uP9TeWNi0rJz1Kykg9wVwCO2eM+RQStJO8ulBIL5ATc2AcOkq\/wAW1VHI6kpnI6j\/AGb7utlpz3Nnaq0J+e4hJ3fK3u53AZ6Ng44z15TZ1YbDqqpTk7KK\/wCAje1b4keM9RItNX8V39vMykwXNvcrBFOCeMiEcD0b14PtzVzJdXup+ddCWPXiCsvnxtL9pHpiQhc+3Q9ucApdXSGxjRPLn0oSgsYm\/ewk\/wAJCDAJ55HDY9Rw+8tbMQJFdSN\/Z+CLW8aH\/Vnrsyxz9UPI6j3Lk+wT+CSf4fn\/AJlW2Kq1w2noisVP2jTGYfPjqUCgnjnjO9fUjJo2q9ozpFLd6YF3yxyKWmtz\/eyxwB0G8DacDIzgVaEFxdRwtcOY5lG63vFnJDLnjzBGASBz845B65HSApKLoM6rp2tRkqSyJHFc5H99icEg+m1h6Z5d0RKjOHxKxFKUW1jE8rz6ewEcF3AR5sH+yQo\/HyyfcHuZbpGNxHJqDCK5+V7fVYo2Ikxj75c5zyOcbh3HTDbUyPcy\/YwsWoKGhuNNkZmjlHOQiKAPX93n3XPQMgTELvZQeZaEk3OnThFK4HLJI3JAz97qB146hkPR5Ir07JU07Vzhx5Ug8m6U\/wDXNdvP12H2pYoyLieO1tRbz7gtxps0P7uc5\/gMpyD7feHYntGrRvYPsZ7\/AEgcSRPIxltGP+6MDnvyrd8Ho6eJI4IRefvrLiOG9WJIpICOQh3Ek4\/uHnjg46gC2sqtDJHZA3VmCXn09piZIexZSijI91\/4EOlI6RfY0MitdadH+7SURLHLa5PQlyfXoeD2IOadM5leJ764\/wBIYZttRiklkEhB6ttA\/P7w7g9hlaG8Uvt07U2TKuVihhuB9SSMH1+4e+OaAFklZvIeW5eXORDqNq8hy45AlCgHI\/76HX5higo0Fwsj+VZ3kqkJcIkUdrdD6nI+vGOm4A5NCGSaW4itohFft8s2nTmV45faMcAHvtPttOeKbAP9aljBujz5kumThInUgcvH\/EcYPT5hjkEZoAWIu000MKJHMygzafMZGtpuMjZ0wfTJ\/wB08gU1UUxy20NuXXJd9NuFjiliOOTETlj07YPqGxSKUubImMHVNLQ7\/KdpHubXPXBAAx+anvg9FfCxJLcvJPbR48q9jEcE1v6B05J9hnt8p6igDvvhh8VNd8FgjTZn1zw0hDS2UxYy2yd9px8uPX7n0r6w8CeOdD8caYt3oN4HcKDNbSfJNBns6dvr0PY18JSlmeCa7lDSZ\/0fU7dZJQ\/sw4BI75Ab1Bq1p+o32hazDf2N22jatH80V3A8cMVyme4GeCevVD3AwTQB+h+RRXgnwu+O9pqk0Wj+OEi0zWDhVu1BFvNx1JIwhPr90+o4Fe8I4cBkIKEZBHegB9FFFABRRRQAUUUUAFFFFABRRRQAUUUUAFYOr+LfDmjS+Vq2v6TZTZ2+XcXkcbZ9ME5rdYZFfNn7S\/wqF2H8WaDbK12g\/wBMiVVzKv8Af54yP5fQUAejXfxt8CW93LZQau93fRsyG3traVnLLnKjIAJ49ea5G+\/aQ0Z4LltD0HVryWH59t0Y7VZI+cshy2cYzjAOMnsa+XfNbWbbzI5d+q2qZdTI586Nf+WmFA\/eIvX1Az1By9zJcyR6tZB4tRt2zd7YhHk5\/wBcpY9DxuzjBOeh4APcNU\/aT1+602e40LRtIgkgP7+OeZ7kxqTw48vaCOQM9j16iuW1v42ePZhHqVtq3l2BIWa1htI4kiJHKmRhuGedrfXuDXm\/2g4XV9N8v5D5d5bl3eKInjGxR\/q357kckemXMq6fMuoWcBk0yfMU9tMqqB\/0zZmOfdHIzwD1UgAGzqni\/XJp5JNV8QatqukXg2lXv2OAMZXCcCReO4B+hrEeBLNRZah+80yY+bbXiwfLHn+NTIc9sNH7HuM0qhLFGXzWu9HveMeaSePQIMCWP64Oe4YZBDHp5Wyvh52l3C+ZFciBQEzwJVLk89mQ46Y6gGgABww0rVJkjkj+a1uPNPlgHkAlBzEeuQeM59RSy28t1ILW8R4NZt2CxSyJsEuBxG0jn7w\/hOOenpiNn8sHR9Wljwv\/AB73LTM8cYPII8scxHrxnB5HcGRrY3DLpupxtDqFsPLinkiVVI7RmSQ8g5+Vz04HTBAAomlvbozW0jxa9atvkhR8CfGSTiMf6z1APPJ65FMVCyf2jpUAiniybu38gCN0PVwXPMZ7qRx9Oi+ZNqTvBK7x6\/bPtCyTN+\/2\/wAJCgfvQehzz064ysfmXkgv7FWi1eDMkyxxCMTDvJGW746qRz1HcAAPMW2invtOxNYudl1YtMXESk9DsHKZ6SA8Hjr1RkjsbZXjR7rRZ5MlWjCGB8cfMx4kHOCRhh+ICLOH8zUNK2LcRKReWRmLxFcYLqijmM9xk4z6YNOVVgSTUdMh8yxZdl3aSQjaqE55eQ5Kk9HxkHHQ4JAELLbW62l7ObrTJS32e4jcv5frhFx0\/iTPuOxKTwBFt7TViFVVAtb9Yh5e09BuY5ZD7jKenBWlaSO1gkaF2vNHuHCSQS3G4xvjgYQcOOcOOCO3VQrQx2UUccyPdaNOSyTLbqpi9Spc8SeqHqMc9GABPFJJc3QtdSLR6nBgiUSsRMo5GdmATjlZAcHjOeCJbovPqqyWvnW+qQOUCyqqicHsrP8Ax4J4Iww9+DJZiWxs3F7dLLaR\/wDHvch\/NjCH02jpnGR1BzwD1z54d0i2WqkLcIv+j6gsOYnj7ZduWX0bGV+gwF1PSqfucJGHWbu\/RaL9RsE4neS403at6AVudOZmeORQOSsajkcZK54xkcDhYEWGOW5sLfzLA4W7sZkC7B2IZuSOeH6rnn3WZnubpra\/l+z61ER5Uklwdk3Qru2cbsYIkBweM+tOVJ57xJYImtdeiY7lFt5aznvgydJOuQRhu3PBZ5oiSJFavJHI9\/pLyBZIpJmL2znofkHyn0YZVsdOwl3fZEj+1BrzTJjtjuWgVDEewO89cdUPXqD0aoYJjNO02n4j1EAiaweTfFMuOdqKOenMeeO3oEtYwITeaVAHiKYurEw5jK9SQznLKPXqnr3IaQqzh8LsTX8sNxLbRaq8ZhI2w3sEkkgKDocDsD26r0x0FS3tusbma5nFpqMY3QXIjEX2kdjvPBP\/AE0HJ7+op+ZHHayyWrfbNNkIM9nNdbjD6HCDqO0g+hHOCIiQ2atHC9\/o7tj5bcBoGPX52zsb8NrY9uFY09un8cU\/w\/ItCG6kdJiv2PUyB95mMNwD3wvyqSOx+Rh6d4reN1vG+wW\/2O8I8u4sJ4liSQg9F3nnn+E4Ydj6BuGtYo0u7mS705jttbxJiWh\/2dq9x1MZPuOuS\/zPLdf7XSO8E2PIv4rctGR7s2CffIyv6UahajLZtfj\/AF9xWtnS4glFgFurZvnudOupnlMeDy67QOP9ocjnPHJeiCK13QRvd6Wcs0Uqpby2r+oc5x9RweMgHgTahcRtdxLqEjWd0W8yO7F0ZI5V7MfL6n\/aBz61JNZOJnn3Q2mqwgkskYWOcFe+7oxB6gFWz26kuL6tJ\/A7+n+W5TlaKSyhW5lbUNLDbY7nLtLan0KjGP8AdJwcfKRyakmDRm3fUGPzYEGqRokRQgcKc8nHHXDgY6jApyiYzma3AtdQcYNpPJ+4nXHQIBgH\/pmT16dhTLRCxlOl2+JzhJ9Ma2LxyY6gFzkkHnB+YdietMznBwdpKwk0hM0LXU0dvfffg1BJXlSTsSfLGPbIBPGCOpDtj212fl\/svUXTPzJFDb3P0JJGD7fIfamRuhgnNo4ubMjzJ9OubneUA7jYOSP74wRzkY6pEifYna2hN\/pqnJhWD97bZ6nc3I+uCh74NBA+Ji80kNuixXjsBPp9y0siyn0Uccnsp59G7U62UgPHYwyGNmJk066VYXV+j+UScnHsQw7gjmmTsosgLuVr\/TB9yVp\/3lv\/ALLKvT\/dJwexFJcKDDE93m6i4SHULS2Lsn+xIX5yB2PI4wcDkARGhubXbEBqVlGCzQzO73Fr6lSBjbn2I55Ar0f4YfFjXvAkccLvNrnhZQAbe5KwS2n+7knHsM7T2wa86u5HWWOTUp\/LkJL2+ox3BMchHTzBHzkeoww7g1Jb200l5H5MXkaqVzHPZW2+3uFPrxwT0yAV9QOTQB92+CPGugeNtKGoeHb9btBjzI\/uywn0dOo\/ke2a6nIr4b8I+F\/HsWpjVfDGk6xpurwNwS2y2lHcFR0+n3D7cA\/XHw8v\/E99oQfxppdrYampAP2WXesox97B+79MmgDrKKKKACiiigArndV8UWGn6zBpIE93qksRuBZ2sfmSLEDjzH7KueASRk8DNdC1eNjxBYaN+0BqFuZZJZdXt7awePy2D28yJ5iEE\/KYmWTBIOQ46d6APSdA8Q2OuNeRWbyLc2cvlXVtNGY5YHxkB0POCOQehHQmtyvCPh\/4z02\/8ceL\/Edt50supraQW9hHCVkVY3EMZlc4TdI8uQAThAcnjFdrrep+JtVtLG78JxTxRnzY7iN\/IJjlSTYQd57FX6cUAdR4k8Q6T4ds0uda1CCzikcRx7zy7E4AUDknntWyPevH\/iHc3Nn8I72TxZJHHrEz+TCZBHvIMqttHl8dEyfpzXrFldwX1pDdWkiTW0yiSKVDkOpGQRQBZqGeFJ4mimXdG4wQamooA+Lvj78PLrwT4iTWtHLrpVxNvXcz+XbSZ4AVRwvp2HT0rzVx5LLrmmwrCFOy4hW3URxE5H8f\/LJxnGR6oe2f0E8UaDZeI9DutM1KMSW86FCD2zXwr458LX\/w48Z3Fnc2xubOQEx4hZ0nhJ+45J69PXBwR2oAxZJfsfk6jp7I9hOPJktJrkyxpleYWVOcdSpz056g4RkTSpvtEEMlzo16pQqYsCRB1DMx4kQ8g49D0OKVn\/seTKvLcaPfDHltcRxBxnkEAHEiHv2ODyDy2JYtNuTFcILvRb5BIHt4GkOBwsoDnAkDEgjOM7kPBoAVpI9L3W91LJdaLegOp87AdM8FI14WRDkEZx1HQ5pViWyc6dqEYlsZf3sF1Dblo48\/8tYy55GBhgR\/DjgqCGqP7OeXTNVlb+z58SrNBIsYUn7k8YxkjswxnAIOCowsMaIx0nVTCYc5hnhSSbyyRnzQW4MbDrj2OOOQBCPJQ6Pq80caod9rObgGOPPI4QcxN14PGdw7gu+ztNINM1KFIb62Pl28xhzGP+mUjP2\/uucgZ\/u8hUyGl0fWXktZIyfs0xkSAJ3AfGcxHqMZxnIOCcxxIdRI0vUBCNTtf3MDOHdj1\/dSE8Yz0ORg+x4AHMJNS\/0C5kaDVoC0cSSThfOxx5TIvSTgAdM4x1xTgsuqTJcWyGPXbc7v3MLMZ2HPV+fOHfrnr1zlUWbUj9kuftFtqsY8mIvstWugvHlN33joCc54B6CoQTrMituT+3oPmH+saS5A6en74fhv\/wB8fMASxzfale906T7NqMGZJYEmVUkAHMgjUHPfcn4jjIBCVfdq2jxRo6jNzaxWxlQA9cBzzEe45xn6U7MuoH7bZme01aEZlWMJam4A5MinrvHVhznGexxC0i3jHU9NaCK+gzLPCGaUkc5ZFHylMZ3LjA\/3TwASeZ9njlvtNOLInbc2MlwPLhJ7OqjlCcYfgg45BAJZEIreAXNlD9r0a4IWaFYWkeN+wctwH67XHB54+8lP3NETqujwvbGJf9JtDEsYXPXGeWhOcckkZAPYmaxhWW5a40xontpBsubaeVpzEOpBxw0ZPIY9DjkEBiGlGm6tRQjuyW9+y2GnxxSRTSWM5Id8rbOucHoMjd7dMD8qbqkFvFb3SpdaTNl7e4tYGkkjI6ld54OSN0efy4arl7PPbSG9tt1zp5\/dXERQR+UR03N1HOSrj+eRVKTyrKEvFJHfaHdFVdLi4Z3if0OwYWQc4OCCM9RkVKOrMKinWajtHRfLQWQtbRpp+rzkWrLm2vIZgqJnPIAGWjyeUxlecYOQUlgW4MdjqwhS4RALe8hR5sp23E8GPHRgePp0lijNpHHEqTXujXLEpJBbKjxEdXRicxyjHI4BA7jBpZYfIjFrqLC50uTLw3EtzloyepQDGDyN0Z9vY07nGoSeyEmaWacW+pSy2WqphkuDOlss390yY7+kn5nHIjVXu785Edpr8LgZiR90xHfnAEnvkBs+vWX7OsdotnqMiSwMN1ndWtt5mOf4XIyVz1TjB54OQVvvsuYLTWpnlAGYL2SfcHj6D7vLR+\/JGD6FKLl+xfWy+YyEzS3ZexEun6qmVktUMdqJyODhcdfWIg55x1xUdrsnkmuNJjt0ulTFzZLG0vmqTz5YPBHqvBHUZxxYn8pp\/st5AqXiIqwXnkeakg\/g3yHGR6SAHgDqOhNdzy3BivpVsdVjfInnuAqS+zbeR7SA4Pfrmi4ckFvL7ggSVVa70qGcWsnFzYS7YAQO4\/vIOxzvT1\/iLIrZYraY2otrmwID3NpNI0ssZ6BiRwCM8SADrgjnaSJZb278qPFtr0Q+VYLcsspGMDLfck9xwfUHrt6T4S8Ua0qXmlaFrEGpRAZQoYoJV6HC44914BGcY6U9QvTXS5kxiO0tJSs1xcaSX2GMLHbSQ9MHOflOe\/IbHI9Ima0jsYlmxqGmbv3c6lpZoc9Ux0B6\/KSAcZB716bo\/wADPGtzOt7a6fpuizSEieGT95GVPUBGz8p7qc+xxwO10P8AZzuo7ozX+vNHbyLsks7fmIjuuGBG3PQdR65GaQe05dkjwea8ltoIEvVkOnYCW91EqxbO+3DE5Iz908jqODzQ1Mo8qDV5IC0ilrbUkLTNJjjDYAD46dAy++MV9a6F+z54O01ZRMt3dib\/AFkckuY254yDnp2PWu40f4d+FNIRVsNCsI8Nvx5Ixn1x0zTsFStOpbmd7HxNZ6Rq+pXkUcNjqQ1EYKahZ2\/lpKDz88i5\/wC\/n\/fQPUdRpXwm8b6y32uLQDpuoq+UurlyFk9dwHAPuFwe4HJP2tbWVtbLi2toYQOgjQL\/ACqyBjvQZHyppX7O\/iOSWO5n1Sw0i4KlJ1s4gUccdsdD3Q8fQcV2ek\/s5aBbXT3N7qF\/OZgFmgD4icdxjrj6k47dBXvNFAHnGg\/BzwRo0Xl2+ixToSGP2n95lh0OD3967Ow0LS9PVVstOtIVUYGyEA4+talFACYAGBS0UUAFFFFABRRRQAEZpMUtFAGV4g0tNW08WzSSQyLLFPFKmCY5I3DqcHg8gZHcZp2iaamk6YlojvJh5JHdwAZHkcu7HHHLMTWnRQAYooooAKKKKACvO\/jB8P7Lx54ZmtHREvYR5lvLjOxwOPqPb0\/CvRKKAPzne2utB1C70XXYJrWAMUldbcRmCTtJG3UjkZ9UOPSq7CK0muNF1iWJLckNFNLOZvJkIBEi7BgxuNueORg9QK+ov2kPhYniLTX1\/RbVP7XtUPmIEyZo\/THr3H4jvx8x2nnanbDS5jOl3Gc2TMFtA+f+WR7c5yvoTj+PgAS1jYM2kakjQLFKfKuBEAtrJ1z5hJ\/dt35GOGHcFoxKh0XV2+z3EO5beS7ud4ifdzG+3GEPXvg89CajthHrMMVhceQuoQZjtPMZnklXJPlNjv8A3enPHcYfZrJrGnR2wFwL6JNttIIli+1KP+WJbuw\/h6k\/c\/u0APto21GGTR7mHGoWp8qCU2owCGP7mRpOVGeAcDB4PB4apbVo1srtn\/taImOJ7q5\/14HHlSAchh0U5\/2PTEeV122SGUQnVrdAImlmMhuowPufL\/y0A6cZI46gZlQtrlsTCJTqkP3mgtwDcxgdmPPmAf8AfQHqOQBsSDW4vIVQ+twxnYYrYv8AaUH8J3c+aMcHHI4znGXO76xBv82Ya3b4JWS4CfaUHOdg58wfXkDPXqybGt2zTMynV4ULyGW53eeq5\/eLt\/5aDHPXI565JkDHV4ZLyw+TWrdRPOLa35lA\/wCWyMeQ44LY6\/eH8VADQw1Zxe6eYhrMZMkotoTI0uP+WibsfN3IGT\/EO+HmSS7j\/tCxM9rqdsvmzQJMsIwOTLHGB06lkGMdRxnCTs1\/GdQtWK6pbv5s8bXOwOOvnIinIYH7wB46gYzsiVkuW\/tHSDBFqUA3zw2lvvOc\/wCtjDdB6gdOo4PAADypGbVtF+zQXcOHube3jMnlZ6sgbgxnOCvOM45B40bZoIIZr+3jnhYcS2bBYlhPGWAznYTjnqOh7E27Pw\/r+pTQ6l4f0jV0vt4DwEGFN+PvqCOUPOVzxnHQiuu0z4KeNr65t7\/TtItdGnYkyxT5IQ4wQAcgoQfunpyOaDahWlQmqkd0eexS2VtFJq2lwxOmDHcWsjNNtBJ4dejIeMHIwcdwMzG4exgN9pkDNpcpj8+3kVYPcCTsRn7rj9DkV7npH7OepLqX2ufX1sYyu021um9QCPnTnjacng9j3611+g\/s6eE9MuHmllvLgyBldDIdhU9VPqPr6evNKwnWk9VofK0l39mQ3UcsN1pUhMcsNxK0kg\/2X28BuDtcYz\/30KmsbK8faNKtdQ1XSbwYZILYRupHYkA7ZBn73Q57gkV9taJ8LPB2iqVsdDtEyACSvLYOefWustNNs7NQLW1giA6eXGBTIc292fEejfC7xffyPaW2gTXmizESCS8cq8We47K46HAIOO4xXZaF+z14rljktdSv9PtrL5vL8tMPET\/EpHIzxkcg9OwI+tsc0tBJ886V+zbpv9nx22uaze3yRtuQf3D32nggH0yR3rttK+CngmwiijbS1vfJGEN2RKVH90EjgZ7dsn1r1CigDF07wzounIos9Ks4tnAIiBI7dT7VsRoqLhFCj0AxTqKAEwKXFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFADJI1dGV1DK3UHvXyB+0l8LV0G+l8S6RbwjT7ht90oiJMTcDeB0wSec9+e5x9hVR1jTrfVtOnsruNZIZVKlWGRQB+elwZdZtJL9ftgvoQJLgKBbi5T\/nsOoyON3t8\/wDeqvd7NYhk1Bfso1OH5rvMjO0ijA84bO\/97\/vrucfU2g\/s3eG9N1AX097fSyrJvVVc4X2z3Hbn8a7fQ\/g94J0WRXs9Et\/MUEB3GW\/PrQB8UBbjXIG1DSlvH1KHAuY7S3CGY5wJQRznOM9TnnucdNB8PfFviOS3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alt=\"w453-108800-courbure.jpg\" \/><\/span><\/p>\n<p class=\"p2\"><span class=\"s2\">Cr\u00e9dits : Nature Astronomy<\/span><\/p>\n<p class=\"p2\"><span class=\"s2\">\u00a0<\/span><\/p>\n<p class=\"p2\"><span class=\"s3\">Les cosmologistes en plein d\u00e9bat<\/span><\/p>\n<p class=\"p2\"><span class=\"s2\">Les satellites cosmologiques Wmap,\u00a0lanc\u00e9\u00a0en 2001, et Planck,\u00a0en 2009, ont examin\u00e9 en d\u00e9tail la premi\u00e8re lumi\u00e8re de l\u2019Univers -le fond diffus cosmologique, qui a \u00e9t\u00e9 \u00e9mise lorsque le Cosmos avait 380.000 ans. Ces missions ont tranch\u00e9 en faveur d\u2019une courbure nulle de l\u2019espace et donc un univers \u00e0 g\u00e9om\u00e9trie plane. Cela favorise le mod\u00e8le cosmologique appel\u00e9 \u00ab\u00a0Lambda CDM\u00a0\u00bb c\u2019est-\u00e0-dire lambda Cold Dark matter o\u00f9 le contenu de l\u2019Univers est domin\u00e9 \u00e0 pr\u00e8s de 70% par une \u00e9nergie noire qui acc\u00e9l\u00e8re l\u2019expansion de l\u2019Univers, tandis que la mati\u00e8re noire- aux alentours de 25% est sous forme froide, c\u2019est-\u00e0-dire qu\u2019elle interagit tr\u00e8s faiblement avec la mati\u00e8re ordinaire. Or, au cours de ces derni\u00e8res ann\u00e9es, plusieurs observations semblent s\u2019opposer aux pr\u00e9dictions de ce mod\u00e8le. D\u2019abord, th\u00e9oriciens et observateurs n\u2019ont pas la m\u00eame estimation du taux d\u2019expansion de l\u2019Univers.<\/span><\/p>\n<p class=\"p2\"><span class=\"s2\">A la base de l\u2019hypoth\u00e8se d\u00e9taill\u00e9e dans l\u2019article de\u00a0<a href=\"https:\/\/doi.org\/10.1038\/s41550-019-0906-9\" target=\"_blank\" rel=\"noopener\">Nature Astronomy<\/a>, le fait que la lumi\u00e8re du fond diffus cosmologique semble d\u00e9vi\u00e9e par une quantit\u00e9 de masse plus importante que celle suppos\u00e9e par le mod\u00e8le en vigueur. Comme le soulignent les auteurs de l\u2019article, \u00ab\u00a0un Univers ferm\u00e9 pourrait expliquer une explication physique de cet effet.\u00a0\u00bb Une conclusion qu\u2019est venu\u00a0rapidement temp\u00e9rer un autre\u00a0<a href=\"https:\/\/arxiv.org\/abs\/1910.00483\" target=\"_blank\" rel=\"noopener\">article<\/a>. Les astrophysiciens George Efstathiou et Steven Gratton de l\u2019Universit\u00e9 de Cambridge y expliquent que l\u2019anomalie de gravit\u00e9 pourrait simplement \u00eatre due \u00e0 un biais statistique, insistant sur le fait qu\u2019il faut r\u00e9analyser les donn\u00e9es avant d\u2019abandonner le mod\u00e8le d\u2019Univers plat qui explique de nombreuses autres observations. Une chose est s\u00fbre\u00a0: les cosmologistes sont en plein d\u00e9bat\u00a0!<\/span><\/p>","protected":false},"excerpt":{"rendered":"<p>Par Azar Khalatbari Pour Sciences avenir Notre Univers est-il vertical, horizontal ou circulaire ? C&rsquo;est notre question de lecteur de la semaine. Le fond diffus cosmologique repr\u00e9sente la premi\u00e8re lumi\u00e8re \u00e9mise dans l&rsquo;Univers, 370 000 ans apr\u00e8s le Big Bang. On peut y \u00ab\u00a0lire\u00a0\u00bb la composition de l&rsquo;Univers \u00e0 cette \u00e9poque. ESA\/PLANCK COLLABORATION \u00ab\u00a0Notre bel<\/p>","protected":false},"author":33,"featured_media":26976,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":"","rank_math_focus_keyword":"","rank_math_title":"","rank_math_description":"","rank_math_canonical_url":"","rank_math_robots":null,"rank_math_facebook_title":"","rank_math_facebook_description":"","rank_math_twitter_title":"","rank_math_twitter_description":""},"categories":[200],"tags":[],"class_list":["post-26975","post","type-post","status-publish","format-standard","has-post-thumbnail","category-ecologie"],"acf":[],"_links":{"self":[{"href":"https:\/\/antilla-martinique.com\/en\/wp-json\/wp\/v2\/posts\/26975","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/antilla-martinique.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/antilla-martinique.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/antilla-martinique.com\/en\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/antilla-martinique.com\/en\/wp-json\/wp\/v2\/comments?post=26975"}],"version-history":[{"count":0,"href":"https:\/\/antilla-martinique.com\/en\/wp-json\/wp\/v2\/posts\/26975\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/antilla-martinique.com\/en\/wp-json\/wp\/v2\/media\/26976"}],"wp:attachment":[{"href":"https:\/\/antilla-martinique.com\/en\/wp-json\/wp\/v2\/media?parent=26975"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/antilla-martinique.com\/en\/wp-json\/wp\/v2\/categories?post=26975"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/antilla-martinique.com\/en\/wp-json\/wp\/v2\/tags?post=26975"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}