diff --git a/dmu1/dmu1_ml_SGP/1.1_ATLAS.ipynb b/dmu1/dmu1_ml_SGP/1.1_ATLAS.ipynb index d4e12b77..ee823394 100644 --- a/dmu1/dmu1_ml_SGP/1.1_ATLAS.ipynb +++ b/dmu1/dmu1_ml_SGP/1.1_ATLAS.ipynb @@ -498,7 +498,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.0" + "version": "3.6.1" } }, "nbformat": 4, diff --git a/dmu1/dmu1_ml_SGP/1.2_KIDS.ipynb b/dmu1/dmu1_ml_SGP/1.2_KIDS.ipynb index 674f28fd..fadd9274 100644 --- a/dmu1/dmu1_ml_SGP/1.2_KIDS.ipynb +++ b/dmu1/dmu1_ml_SGP/1.2_KIDS.ipynb @@ -500,7 +500,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.0" + "version": "3.6.1" } }, "nbformat": 4, diff --git a/dmu1/dmu1_ml_SGP/1.5_DES.ipynb b/dmu1/dmu1_ml_SGP/1.5_DES.ipynb index 76dcb159..a4a66c5f 100644 --- a/dmu1/dmu1_ml_SGP/1.5_DES.ipynb +++ b/dmu1/dmu1_ml_SGP/1.5_DES.ipynb @@ -23,11 +23,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "This notebook was run with herschelhelp_internal version: \n", + "33f5ec7 (Wed Dec 6 16:56:17 2017 +0000)\n" + ] + } + ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))" @@ -35,7 +44,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": { "collapsed": true }, @@ -63,7 +72,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": { "collapsed": true }, @@ -81,7 +90,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": { "collapsed": true }, @@ -110,7 +119,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "collapsed": true }, @@ -146,11 +155,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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HIyQwsjBPT9/CPBsAQPs680RhIFDMswEAHAulBkmFeTYAgPZQapCUmGcDADgS\npQZJi3k2AIC2KDVIasyzAQAcQKlB0mOeDQBAotQghTDPBgC6N0oNUgrzbACg+6LUIOUwzwYAuqeY\nlxozG2Rmr5rZSjNbYWa3H/H9nWbmZta3nfMvNrP3zGyNmd0V67xIDcyzAYDuJx4jNc2S7nT30ZLO\nknSLmY2WIoVH0oWSNh7tRDMLS/qFpEskjZZ09YFzgY5gng0AdB8xLzXuXuXuC6OfayStklQc/fon\nkr4hqb3/l5kiaY27r3X3RklPSLo8xpGRYphnAwDdQ1zn1JjZUEmTJM0zs8slVbj7kmOcUixpU5vt\nzTpUiIAOY54NAKS+uJUaM8uVNFPSHYpckvqWpG934c+/yczKzax8+/btXfVjkUKYZwMAqS0upcbM\n0hUpNI+5+yxJwyUNk7TEzNZLKpG00MwGHHFqhaRBbbZLovs+wN0fcPcydy/r169fV/8JSCFHzrN5\n9C3m2QBAKojH3U8m6UFJq9z9Xkly92Xu3t/dh7r7UEUuK5W6+5YjTp8vaaSZDTOzDElXSZoT68xI\nfQfm2XxkVD99m3k2AJAS4jFSc46kayVdYGaLo6+p7R1sZkVm9rwkuXuzpFslvajIBOMn3X1FHDKj\nGyjoka5ftZ1nc/9bzLMBgCRmqTjsXlZW5uXl5UHHQBJ5ccUWfe0Pi9UjI6z/9/nJmjKsd9CRAABR\nZrbA3cuOdxxPFAYkXTRmgJ659RzlM88GAJIWpQaIGtE/T0/fyjwbAEhWlBqgjfws5tkAQLKi1ABH\nOPA8m/uvnaw122p5ng0AJAlKDdAO5tkAQHKh1ADHwDwbAEgelBrgOJhnAwDJgVIDdADzbAAg8VFq\ngE5gng0AJC5KDdBJzLMBgMREqQFOAPNsACDxUGqAE8Q8GwBILJQa4CQdOc/mkTeZZwMAQaDUAF2g\n7Tyb78xhng0ABIFSA3SRD8yzeeBt5tkAQBxRaoAudGCezS+/MFlrttZo2oy/af565tkAQDxQaoAY\nuHjsAD19yznKy0rT1Q+8rd++vYF5NgAQY5QaIEZGFubp6VvO0Xkj++pfn16uu2YuU0Mz82wAIFYo\nNUAMFfRI16+/eIZuPX+E/lC+SZ+7/21t2VsfdCwASEmUGiDGwiHTP190qn75hVK9v7VG034+V+XM\nswGALkepAeLk4rEDNfsfz1F2RlhX/+ptPTZvQ9CRACClUGqAODp1QJ7m3HKuzh7eV3fPXq5vzlrK\nPBsA6CKA0HtbAAAgAElEQVSUGiDOCrLT9dCXztA/fnS4Hn9nk65+4G1trWaeDQCcLEoNEIBwyPSN\ni0/TL64p1aqqGk2bMVcLNuwOOhYAJDVKDRCgT44fqNm3nK2s9LCueuAtPf7OxqAjAUDSotQAATtt\nQL7m3HqOzjqlj745a5m+NXuZGptbg44FAEmHUgMkgJ7ZGXr4+im6+SPD9ft5G3X1r97WNubZAECn\nUGqABBEOme665DT9/JpJWllZrWk/n6uFG5lnAwAdRakBEsyl44s06x/PVkZaSFfd/7b+MJ95NgDQ\nEZQaIAGdPjBfc245V2ee0lv/d+Yy/cvTzLMBgOOh1AAJqldOhn7zpTP0Dx8+Rb97e6M+/+u3ta2G\neTYA0B5KDZDA0sIhfXPq6brv6klaVrFXl834mxZv2hN0LABISJQaIAlcNqFIM79yttLCps/+8i09\nWb4p6EgAkHAoNUCSGFNUoGdvPVdnDOulbzy1VN9+ZrmaWphnAwAHUGqAJNIrJ0OPXD9F/+e8YXr0\nrQ36/K/maXtNQ9CxACAhxLzUmNkgM3vVzFaa2Qozuz26/3tmttTMFpvZX8ysqJ3z15vZsuhx5bHO\nCyS6tHBId39ytH521UQtrdijy34+V0uYZwMAcRmpaZZ0p7uPlnSWpFvMbLSk/3b38e4+UdJzkr59\njJ9xvrtPdPeyOOQFksLlE4v11M1nK2Smz9z/lp5asDnoSAAQqJiXGnevcveF0c81klZJKnb36jaH\n5UjyWGcBUs3Y4gI9e9u5KhvSS//8xyW6Z84K5tkA6LbiOqfGzIZKmiRpXnT7+2a2SdLn1f5IjUt6\n2cwWmNlN8cgJJJPeORl69IYpuvHcYXr4zfX6wq/naUct82wAdD9xKzVmlitppqQ7DozSuPvd7j5I\n0mOSbm3n1HOjl6guUeTS1Yfb+fk3mVm5mZVv3749Bn8BkLjSwiH966Wj9ZPPTdDiTXt02Yy5WrZ5\nb9CxACCu4lJqzCxdkULzmLvPOsohj0mafrRz3b0i+r5N0mxJU9o57gF3L3P3sn79+nVNcCDJXDGp\nRDO/crbMTNN/+aZmMs8GQDcSj7ufTNKDkla5+71t9o9sc9jlkt49yrk5ZpZ34LOkCyUtj21iILmN\nLS7QnFvPUengnrrzj0v03WeZZwOge4jHSM05kq6VdEH0tuzFZjZV0g/MbLmZLVWkrBy41bvIzJ6P\nnlsoaa6ZLZH0jqQ/ufuf45AZSGp9cjP12xvP1PXnDNVv/rZe1z44TzuZZwMgxZl76t10VFZW5uXl\nPNIGkKRZCzfrrlnL1C83U/dfO1ljiwuCjgQAnWJmCzryWBeeKAykuCtLS/TUzR9Sq7um/8+benpR\nRdCRACAmKDVANzC+pKeeve1cTRjUU3f8YbG+99xKNTPPBkCKodQA3UTf3Ew99uUz9aWzh+rBuet0\n3UPvaFddY9CxAKDLUGqAbiQ9HNI9l43Rf396vMo37Na0GXO1opLn2QBIDZQaoBv6TNkg/fEfPqSW\n1sg8m4fmrtNuRm0AJDnufgK6se01Dbrt8YV6e+0upYVM543sq2kTinThmAHKzUwLOh4ASOr43U+U\nGqCbc3etrKrWnCWVem5JlSr27FdmWkgXnNZfl00o0vmn9VdWejjomAC6MUoNpQbotNZW16JNuzVn\ncaX+tKxKO2oblZuZpgtHF2raxCKdO6Kv0sNctQYQX5QaSg1wUppbWvX22l16dkmlXlheper6ZvXK\nTtcl4wbqsglFmjK0t0IhCzomgG6AUkOpAbpMQ3OLXn9/h55dUqmXVm7V/qYWFeZn6tLxRbpsQpHG\nlxQosswbAHQ9Sg2lBoiJfY3NemXVNs1ZUqnX3tuuxpZWDemTrWnjizRtQpFOHZAXdEQAKYZSQ6kB\nYm7v/ia9uGKLnl1Sqb+t2aFWl04tzNO0CQM1bUKRhvTJCToigBRAqaHUAHG1vaZBLyyv0pzFlSrf\nsFuSNGFQT00bHyk4hflZAScEkKwoNZQaIDAVe/bruSWVmrOkUisqq2UmnTmst6ZNKNLUsQPVKycj\n6IgAkgilhlIDJIS/b6/Vs9GCs3Z7ndJCpnNH9tVlE4r0idGFystKDzoigARHqaHUAAnlwEP+nl1S\npWeXVPKQPwAdRqmh1AAJy921cONuPbukSs8trdKO2gYe8gegXZQaSg2QFJpbWjVv3S7NWfzBh/xN\nG1+kKcN6K8xD/oBujVJDqQGSTkNzi954f4fmHPGQv0+OK9JlE4s0gYf8Ad0SpYZSAyS1oz3kb3Dv\nbE2bMFCXTSjmIX9AN0KpodQAKeNoD/kbVZiryUN6a1Rhrkb2z9Oowlz1y8tkJAdIQZQaSg2QknbU\nNuiFZVV6YfkWrais1t79TQe/K+iRrpH9czUyWnRGFuZqVGGe+lN2gKRGqaHUACnP3bW9tkFrttZq\n9bZavb+1Rqu31Wr11hrt3neo7ORlpWlk/0jBGRF9H1mYqwH5WZQdIAl0tNSkxSMMAMSCmal/Xpb6\n52Xp7BF9D+53d+2sa9T7W2u05kDZ2Vqrv6zcqifmbzp4XF5mmkYU5mpUdFTnQOEZWEDZAZIRpQZA\nyjEz9c3NVN/cTJ09vO9h3+2sbTg4mnNgdOeVd7fqD+WHyk5uZppG9M89NLoTvYxVRNkBEhqlBkC3\n0ic3U31yM3XWKX0O27+rrvFg0Tnw/up72/XHBZsPHpOTEY6UncK8wy5nFffsoRDP0gECR6kBAEm9\nczJ05il9dOYRZWd3XWOk6GyLXMJava1Gr7+/XU+1KTvZB8rOwcnJkc+UHSC+KDUAcAy9cjI0ZVhv\nTRnW+7D9e/Y1RufrHCo8c9ds18yFh8pOj/TwwctYB0Z3TumXo355mcrNTONSFtDFKDUAcAJ6Zmeo\nbGhvlQ09vOzs3d+kNdGSc6DwvPn3nZq1qOKw4zLTQtF5Pxnq0+a9T06G+uVlqk9OpvrmZahPTqZ6\n52SwVATQAZQaAOhCBT3SNXlIb00ecnjZqa5v0uqttVq/o0476xq0s7ZR22sj71ur67Wyslo76xrU\n1PLBx2yYSb2zM9QnN0N9o3OCDpWfA/syDk6O7pHBaufonig1ABAH+VnpmjyklyYP6dXuMe6u6v3N\n2lHXoB01DdpZ16gdtQ3aUduonbUN2hEtQcs279HO2kbVNDQf9edkZ4QPFp0+OZnqFx3xOTgalJuh\nftFy1LNHOvN+kDIoNQCQIMxMBdnpKshO1/B+ucc9vr6pRTvrDhWeSPlpjJafyPbm3fu0eNMe7apr\nUOtRnrUaDpl652QcuhSWc2g0qG/uoVGgnj0ylJuVppzMsDLTGAlCYqLUAECSykoPq7hnDxX37HHc\nY1tbXXv2N0XLz6HRnwMlaEf0ff3OOu2sbdS+xpZ2f1ZGOKSczHCk5GSkKS8rTTmZkVde9D33wCvr\nwHZYuZnpyskMKy/6npuVRkFCl6LUAEA3EIqOyPTOydCowuOvcL6vsfngvJ8dNQ2qrm9WbX2T6hpb\nVFPfrLqGZtUeeNU3a1ddozbu2qfa6Hd1xyhFbaWH7fASdKAUZaUpN6PN57alKFqmcjIPFarczDRl\npoW4o6ybo9QAAD4gOyNN2b3TNKh39gmd39rqqmuMlJ66huZoEWo5WISOLEV1Dc2qie7fs69Rm3bv\nixxT3/GClBayg6NHB0aJeqSHlZUeVo+MsHqkhyKf2+zLSgtF3o/Yf+BzVnpIPQ4eG2b+UYKLeakx\ns0GSHpVUKMklPeDuPzOz70m6XFKrpG2SvuTulUc5/2JJP5MUlvRrd/9BrDMDAE5OKGTKy0pXXlb6\nSf+sAwUpUoqaVNvQ0qYotSlHbctSfbPqGpsjI051japvatH+xhbVN0feG5pbTyhLRlq05ESLTma0\nFPVIb1uEwuqRETp8+0AxSj+0v70SlZ2Rxi38Jyjmq3Sb2UBJA919oZnlSVog6VOSNrt7dfSYr0oa\n7e43H3FuWNL7kj4habOk+ZKudveVx/qdrNINADiW1lZXQ3Or9je1RF6NLapvirwObje3qr6x5eAx\nB76rb2xRfVPrYfsPO6+p9dB2U4s6+3+zIZOKevbQkD7ZGtw7W4N6R94PvAp6pHe7y2wJs0q3u1dJ\nqop+rjGzVZKKjygmOYqM4hxpiqQ17r5WkszsCUVGd45ZagAAOJZQyCIjJDF+po97pDw1HFGCDpSj\nyHab7xpbtHd/kzbt3qeNu/bppZVbtaO28bCfmZeV1m7hKerZQ+nhUEz/pkQW1zk1ZjZU0iRJ86Lb\n35d0naS9ks4/yinFkja12d4s6cyYhgQAoIuY2cFLUAU6sUtxdQ3N2rR7nzbs3KdNuyJlZ+OufXp3\nS41eXrlNjS2HLqV191GeuJUaM8uVNFPSHQcuO7n73ZLuNrNvSrpV0ndO4uffJOkmSRo8ePDJBwYA\nIAHkZKbptAH5Om1A/ge+a211ba2p18ad+7Rh1+GlpzuO8sSl1JhZuiKF5jF3n3WUQx6T9Lw+WGoq\nJA1qs10S3fcB7v6ApAekyJyak80MAECiC4VMAwt6aGBBjw+sMC8dGuXZuPNQ2WlvlCccMhX1zDpY\nco4sPT2zM+L5p52QeNz9ZJIelLTK3e9ts3+ku6+Obl4u6d2jnD5f0kgzG6ZImblK0jUxjgwAQEro\n6ChP28LT3ihPflaaBif4KE88RmrOkXStpGVmtji671uSbjSzUxW5pXuDpJslycyKFLl1e6q7N5vZ\nrZJeVOSW7ofcfUUcMgMAkNI6O8qzaVfkEld7ozxTxw3UjKsnxfNP+IB43P00V9LRZiU9387xlZKm\nttl+vr1jAQBAbHRmlGfTrn0a2IHlOmKNJwoDAIBOOd4oT1CCvwAGAADQBSg1AAAgJVBqAABASqDU\nAACAlECpAQAAKYFSAwAAUgKlBgAApARKDQAASAmUGgAAkBIoNQAAICVQagAAQEqg1AAAgJRAqQEA\nACkhJVfpXr9+vcrKyoKOAQAAukZpRw5KyVIzdOhQlZeXBx0DAAB0ATNb2JHjuPwEAABSAqUGAACk\nBEoNAABICZQaAACQEig1AAAgJVBqAABASqDUAACAlECpAQAAKYFSAwAAUgKlBgAApIRAS42ZXWxm\n75nZGjO76yjfm5ndF/1+qZl1aO0HAADQ/QS29pOZhSX9QtInJG2WNN/M5rj7yjaHXSJpZPR1pqT/\nib4DAIA4aml11Te1aH9Ti/Y3tqihuUX7G1tV3xzZ7pmdrvElPQPNGOSCllMkrXH3tZJkZk9IulxS\n21JzuaRH3d0lvW1mPc1soLtXxT8uAACJpbXVD5aK+ubWyHvTgVdrpIA0td13eBFpOHBu9Ngjzz1Q\nYhqaWtXY0nrMLB87rb8e/NIZcfrLjy7IUlMsaVOb7c364CjM0Y4plkSpAQAkDXfX/qYW1dY3q7q+\nWbUNzaqtb1ZNfZNqop9rGyLbtQ1tCsjB91Y1tN2OlpjG5mMXjfZkhEPKTA+pR3pYWenh6HtIWelh\n9czOOLjdIyOszLSwemSElZUWVo+MyDFZR5zXIz2sPrmZXfyfWucFWWq6lJndJOkmSerTp4/uueee\nYAMBAJKeu6ul1dUQLRCNLZH3g9vNLZHPR+4/ynbkosOxpYVCykgLKS1sSg+Z0sIhpR32bkoPhdQj\nbEoLRY478H16yBSOfp8WPnRO+mHHRt5DZpFf2BR9Hcf+6Gv3yfyHGQfWkf+QY/KLzT4k6R53vyi6\n/U1Jcvf/bHPM/ZL+190fj26/J+mjx7v8VFZW5uXl5THLDgBIfI3Nraqubzo4CtL2c02b98joyIGR\nk+bIyElDU+SY+mY1tx7//yez0kPKzUxXXlaa8rLSlJsZeeVlpR/abvNd5Lj0g8flZ6UrJzOstDA3\nJR+NmS1w97LjHRfkSM18SSPNbJikCklXSbrmiGPmSLo1Ot/mTEl7mU8DAN1bQ3OLtlU3aFtNvbZV\nN2hrdb221jQcvq+mXnv2HX8IIiMtpLwjCkdxzx7Kz8pTbtahYpKblaa8zLTDCkp+tJTkZKYpI40y\nkggCKzXu3mxmt0p6UVJY0kPuvsLMbo5+/0tJz0uaKmmNpH2Srg8qLwAgto5WVrbVNGhrB8pKWsjU\nPy9T/fKzNKRPtqYM661+eZnqmZ1+qJgcHCE5VEwy08IB/KWIlcAuP8USl58AIHEcKisN2lZdf8Jl\npTAvU4X5Weoffe+Xn6nCvCwV5meqV3aGQiEL4K9DPCTD5ScAQBI7sqxEikr9YWVlW029dndgZOWM\nYb2iBeVQWemfn6nelBV0AqUGAHBUTS2tWr21Vssr9mr9zrqDpeV4ZaVfXqb6U1YQAEoNAEDNLa1a\ns71Wyzbv1bKKvVq6ea9WVVWrIfoclPbKSv/8yD7KChIBpQYAupmWVtffDyswe7Syqlr1TZECk5MR\n1tjiAl171hCNKynQuOICDe2TQ1lBwqPUAEAKa2l1rdtRe3D0ZdnmvVpRWa39TS2SpOyMsMYWFeia\nKUM0vqRA40oKNIwCgyRFqQGAFNHa6lq3s07LDyswe1XXGCkwPdLDGlOUr8+dMUjjSwo0vqRAw/rm\nKkyBQYqg1ABAEmptdW3YtU/LKvZq2eY9WhodgaltaJYkZaaFNKYoX5+eXKJxJT01vqRAw/tRYJDa\nKDUAkODcXRsPFpjIKMzyyr2qqY8UmIy0kEYPzNcVk4o1LjoCM6JfLo/cR7dDqQGABOLu2rx7/6E5\nMBV7tLyiWnv3R26fzgiHdPrAPF02oSgyB6a4p0YW5iqdAgNQagAgKO6uij37D82BqYi8DjxZNz1s\nOm1AvqaOGxgtMAUaVZjHOkNAOyg1ABAn+xqb9cbqHQdvpV5WsVe76holRZ4Dc+qAPF08ZsDB26hP\nHZDH2kRAJ1BqACDGqvbu1yNvbtDj72zU3v1NCodMowrz9PHT+2tcSU+NKy7QaQPylJVOgQFOBqUG\nAGJk8aY9enDuOj2/rErurovGDNC1Zw1R6ZBeFBggBig1ANCFmlta9eKKrXrob+u0YMNu5WWm6fqz\nh+qLZw/VoN7ZQccDUhqlBgC6wN79TfrD/I165M0NqtizX4N7Z+s700brM2WDlJvJP2qBeOB/aQBw\nEtbvqNPDb67Xk+WbtK+xRWcO661vTxutj59eyIPugDij1ABAJ7m73l67Sw/OXadX3t2qtJBp2vgi\n3XDuMI0tLgg6HtBtUWoAoIMamlv07JIqPTR3nVZWVat3ToZuPX+Erj1riPrnZwUdD+j2KDUAcBw7\nahv02Nsb9du3N2hHbYNGFebqB1eO06cmFXMXE5BAKDUA0I73ttToobnrNHtxhRqbW/XRU/vpxnOH\n6dwRfWXGfBkg0VBqAKCN1lbXa+9v14Nz12numh3KSg/pM5NLdP05QzWif17Q8QAcA6UGABRZwmDm\nwgr95m/rtHZ7nQrzM/X1i07VNVMGq1dORtDxAHQApQZAt3bkEgbjSwr0s6smauq4gax8DSQZSg2A\nbuloSxjceO4wTR7Si/kyQJKi1ADoNljCAEhtlBoAKW/v/iY9OX+THn5zPUsYACmM/zUDSFkHljD4\nY/km1bGEAZDyKDUAUgpLGADdF6UGQEpgCQMAlBoASW1nbYN+xxIGAESpAZCk3t9aowffYAkDAIdQ\nagAknb++u1U3PbpAaWFjCQMAB1FqACSV8vW79I+PLdTpA/P1yA1T1JslDABEBfIMcDPrbWYvmdnq\n6HuvoxwzyMxeNbOVZrbCzG4PIiuAxPHelhrd8PB8FRX00MPXn0GhAXCYoBY2uUvSK+4+UtIr0e0j\nNUu6091HSzpL0i1mNjqOGQEkkE279um6h+apR0ZYj9wwRX1yM4OOBCDBBFVqLpf0SPTzI5I+deQB\n7l7l7gujn2skrZJUHLeEABLGjtoGXffQO9rf2KJHbziTJQ0AHFVQc2oK3b0q+nmLpMJjHWxmQyVN\nkjQvtrEAJJqa+iZ96TfvqGrvfv3uxjN16gAmBAM4upiVGjN7WdKAo3x1d9sNd3cz82P8nFxJMyXd\n4e7VxzjuJkk3SdLgwYNPKDOAxNLQ3KJ/+O0Craqq0a+um6yyob2DjgQggcWs1Lj7x9v7zsy2mtlA\nd68ys4GStrVzXLoiheYxd591nN/3gKQHJKmsrKzdkgQgObS0uv7pD4v15t936t7PTtAFpx1zQBcA\nAptTM0fSF6OfvyjpmSMPsMjTsx6UtMrd741jNgABc3f96zPL9fyyLfqXT56uK0tLgo4EIAkEVWp+\nIOkTZrZa0sej2zKzIjN7PnrMOZKulXSBmS2OvqYGExdAPP3k5dX6/byN+spHh+vL550SdBwASSKQ\nicLuvlPSx46yv1LS1OjnuZJ41jnQzTzy5nrd98pqfbasRN+46NSg4wBIIkGN1ADAB8xZUql7nl2h\nT4wu1H9cMY41nAB0CqUGQEJ4/f3tuvPJxTpjaG/NuHqS0sL84wlA5/BPDQCBW7Rxt27+3QKN6J+n\nX3+xTFnp4aAjAUhClBoAgVqzLbKeU9/cTD1ywxnKz0oPOhKAJEWpARCYyj37dd2D7ygcCum3N05R\n/7ysoCMBSGKUGgCB2F3XqOseekc19c165IYzNKRPTtCRACS5oNZ+AtCN7Wts1vUPz9fGXfv06A1T\nNKaoIOhIAFIAIzUA4qqxuVU3/26hlm7eoxlXT9JZp/QJOhKAFMFIDYC4aW11ff2pJXr9/e36r+nj\ndNGYo615CwAnhpEaAHHh7vq351bqmcWV+sbFp+pzZwwOOhKAFEOpARAXv3h1jR5+c71uPHeYvvKR\n4UHHAZCCKDUAYu738zbqR395X1dMKtbdU09n+QMAMUGpARBTLyyr0r88vUwfPbWffvjp8QqFKDQA\nYoNSAyBm3vz7Dt3+xGJNHNRT/+/zpUpnPScAMcQ/YQDExPKKvbrp0QUa2jdbD33pDGVncLMlgNii\n1ADocut21OmLD72jgh7pevSGM9UzOyPoSAC6AUoNgC61tbpe1z44Ty7p0RunaEAB6zkBiI8TKjVm\ntrCrgwBIfnv3NemLD72j3XWNevj6MzS8X27QkQB0Iyd0kdvdS7s6CIDktr+xRTc+Ml9/316r33xp\nisaX9Aw6EoBupkOlxswGSJoiySXNd/ctMU0FIKk0tbTq1t8v1IKNuzXj6kk6d2TfoCMB6IaOe/nJ\nzL4s6R1JV0r6tKS3zeyGWAcDkBzcXXfNXKZX3t2mf7t8rC4dXxR0JADdVEdGar4uaZK775QkM+sj\n6U1JD8UyGIDk8IMX3tXMhZt1x8dH6tqzhgQdB0A31pGJwjsl1bTZronuA9DN3f/a33X/62t13YeG\n6PaPjQw6DoBuriMjNWskzTOzZxSZU3O5pKVm9jVJcvd7Y5gPQIL6Y/km/ecL7+rS8QN1z7QxrOcE\nIHAdKTV/j74OeCb6ntf1cQAkg5dXbtVds5bpvJF9de9nJ7KeE4CEcNxS4+7fjUcQAMlh/vpduuX3\nCzW2KF//84XJykjjGZ4AEsNxS42Z9ZP0DUljJB18NKi7XxDDXAAS0Kqqat3w8HwV9+qhh750hnIz\nWc8JQOLoyL9iPSbpXUnDJH1X0npJ82OYCUAC2rRrn6576B3lZKTp0RumqE9uZtCRAOAwHSk1fdz9\nQUlN7v6au98giVEaoBvZXtOgax+cp8bmVj164xSV9MoOOhIAfEBHxo6bou9VZvZJSZWSescuEoBE\nUlPfpC/95h1tqa7XY18+S6MKuUcAQGLqSKn5dzMrkHSnpBmS8iX9U0xTAUgI9U0tuunRBXpvS41+\n9cUyTR7SK+hIANCujtz99Fz0415J58c2DoBE0dLquuOJxXpr7U799HMTdf6p/YOOBADHxL2YAD7A\n3fUvTy/Xn1ds0bcvHa1PTSoOOhIAHFcgpcbMepvZS2a2Ovre7pi2mYXNbJGZPdfeMQC61r0vva/H\n39moW84frhvOHRZ0HADokKBGau6S9Iq7j5T0SnS7PbdLWhWXVAD0m7+t04y/rtFVZwzSP194atBx\nAKDDTqjUmFnpSf7eyyU9Ev38iKRPtfN7SiR9UtKvT/L3AeiApxdV6LvPrtRFYwr1758ay3pOAJLK\niY7UfOUkf2+hu1dFP2+RVNjOcT9V5GnGrSf5+wAcx/++t03//MclOnNYb/3sqklKCzPl7v+3d+fx\nVdV3/sdfn4RA2NewgyCyqiAaEdeqICq1Wq1ate3Y1d9vplW6Oa21v6m2M1On7XRqdaYto9M6WrFW\nZbTqyAXq1ta6ASoJiyiyCLkEkJ0Qknx+f9yDjTTLCcm937u8n4/HfdxzTk7OeZMH5H74nu8iIrnl\niOY4d/cvtHaOmS0CBjfxpZsPu5abmTfx/RcBW9z9VTM7O8b9rgOuAxg5cmRrp4tII0vWv8ff3reE\ncYN68p/XllNaUhw6kohIm8VZ++l3wDzgUXffG/fC7j6zhWsmzWyIu282syHAliZOOx242Mxmk1pz\nqpeZ3efun2zmfnOBuQDl5eV/VSSJhODuNHijdxx3cIcGd5zovSH1tVbPbYiOHXYu7+9H5zZ6b+3c\n3TV13PjQawzs1YV7PjuNXqUlIX9kIiJHLE5LzY+AjwPfN7OXgQeAx929ph33fQy4Frgten/08BPc\n/SbgJoCopebrzRU0Itngd69t4qZH3mD/wfr3C4pcUdazC/d+9hTKemo9JxHJXXEm33sWeNbMikmt\n+fQF4L9IzSx8pG4DHjSzzwHrgCsBzGwocJe7z27HtUUy7u3qPXzj4dcZU9aDs8YNoMgMM8Mg2oYi\nI3XMomONvvaXc6GoKLXd0rmpa6WOEX2t8X3A3r/foXPt0DkfuBYYxvjBPenXvXOgn56ISMeI1afG\nzLoCHyHVYnMifxm5dETcfRswo4njm4C/Kmjc/RngmfbcUyRdDtTVc/28pXTuVMTcvzmJIb27ho4k\nIlKQ4vSpeRCYBjwF3Ak86+4ajSQSue1/V1KxaRd3/U25ChoRkYDitNTcDVzt7vXpDiOSaxZVJvnl\nH91ggegAACAASURBVN/hM6ePYuak5mYmEBGRTIgzEcXzwE1mNhfAzMZGw61FCtrmnfu58aHXOHZo\nL7554YTQcURECl6couaXQC1wWrT/LvCPaUskkgMOrWB9oK6BO66eSpdOmtdFRCS0OEXNGHf/AXAQ\nwN33AZo7XQranb9fw4trt/O9S47j6LIeoeOIiAjxipraaPSTA5jZGOBAWlOJZLEX397G7YtXc9nU\nYXzspOGh44iISCROR+HvkBr5NMLMfk1qpt9PpzOUSLZ6b28tcx5YxlH9u/Pdjx4XOo6IiDTSYlFj\nqSV6VwKXAdNJPXaa4+5bM5BNJKu4Ozc+9Drb9h5g/rWn06PLES2dJiIiadLib+Vosckn3f144IkM\nZRLJSvf86R0WrUjyDxdN4rhhvUPHERGRw8TpU7PEzE5OexKRLFaxaSf//ORKZkwYyGdOHxU6joiI\nNCFO+/kpwCfMbB2wl9QjKHf3yWlNJpIl9h6o4/r7l9K3ewk/vGIKZhr8JyKSjeIUNeenPYVIFvuH\nRytYu20v939+uhZ9FBHJYnFW6V5nZicCZ5Aa1v1Hd1+S9mQiWWD+0o08vGQjN8wYy6lj+oeOIyIi\nLWi1T42Z/QOpVbn7AwOAX5rZt9MdTCS0tVv38u35y5k2qh83nHtM6DgiItKKOI+fPgFMcfcaADO7\nDViGlkqQPHagrp7r5y2hU3ERP7nqBDoVx+lTLyIiIcX5Tb0JKG2034XU+k8ieesHT61i+bu7+OHl\nkxnap2voOCIiEkOclpqdQIWZLSTVp+Y84CUz+ymAu9+QxnwiGff7lUnu/sNarj31KGYdOzh0HBER\niSlOUTM/eh3yTHqiiIRXtbOGr//2dSYO6cVNsyeGjiMiIm0QZ/TTPZkIIhJafYPz5d8speZgPXde\nM5XSkuLQkUREpA20eI1I5D+eXsOf397ODy+fzJiyHqHjiIhIG2lIhwjw8jvb+bdFq/noCUO5/KTh\noeOIiMgRaFNRY2ZFZtYrXWFEQtixr5Y585Yyol83/vHS47UMgohIjooz+d79ZtbLzLoDy4FKM7sx\n/dFE0s/d+fuHXqd6zwHuuHoqPbroiayISK6K01Izyd13AR8F/hcYDXwqralEMuTeP68jUZnkGxdM\nYPLwPqHjiIhIO8QpakrMrIRUUfOYux8kNV+NSE6r3LSLf3xiBeeML+Ozp48OHUdERNopTlHzC+Ad\noDvwnJkdBexKZyiRdNtXW8eX5i2hT9cSfnTFFIqK1I9GRCTXxSlq/t3dh7n7bHd3YD1wTppziaTV\nLY9VsHbrXn5y1Qn079EldBwREekAcYqatWY218xmmJl5Sl3ak4mkyaPL3uXBVzbypXOO4bQxA0LH\nERGRDhKnqJkALAK+SKrAudPMzkhvLJH0WLdtLzfPX075UX2ZM2Ns6DgiItKBWi1q3H2fuz/o7pcB\nU4FewLNpTybSwWrrGrh+3lKKDG6/eiqdijX3pIhIPon1W93MPmRm/wG8CpQCV6Y1lUga/HDBSl7f\nuJMfXD6FYX26ho4jIiIdrNWZxszsHWAp8CBwo7vvTXcokY729Kot/Ofza/nU9KO44LjBoeOIiEga\nxJk+dXI0+Z5ITkruquFrD77GhME9ufnDE0PHERGRNInTp6bDCxoz62dmC83szei9bzPn9TGzh8xs\npZmtMLNTOzqL5Lf6Bucrv1nG/tp67rxmKqUlxaEjiYhImoTqKflNYLG7jwUWR/tNuR14yt0nAFOA\nFRnKJ3ni58++xZ/e2satFx/LMQN7ho4jIiJpFKqouQS4J9q+h9QSDB9gZr2Bs4C7Ady91t13ZCyh\n5LxX123nxwtX85EpQ7mifHjoOCIikmZxOgp3AT4GjGp8vrt/tx33HeTum6PtKmBQE+eMBqqBX5rZ\nFFIjr+aoo7LEsXPfQW6Yt4xhfbryT5ceh5mWQRARyXdxWmoeJdWyUgfsbfRqkZktMrPlTbwuaXxe\ntPRCUwtkdgJOBH7m7lOjezb3mAozu87MXjGzV6qrq2P8sSRfuTvfePh1krtquOPqqfQqLQkdSURE\nMiDO6Kfh7n5BWy/s7jOb+5qZJc1siLtvNrMhwJYmTtsIbHT3F6P9h2ihqHH3ucBcgPLycq0iXsDu\ne3E9T1VU8a3ZE5gyok/oOCIikiFxWmr+ZGbHd/B9HwOujbavJdUa9AHuXgVsMLPx0aEZQGUH55A8\ns2LzLr73eCUfGlfG5884OnQcERHJoDgtNWcAnzaztcABwEg9NZrcjvveBjxoZp8D1hHNUGxmQ4G7\n3H12dN71wK/NrDPwNvCZdtxT8ty+2jqun7eU3l1L+Ncrp1BUpH40IiKFJE5Rc2FH39Tdt5FqeTn8\n+CZgdqP9ZUB5R99f8tN3f1fJW9V7uPezpzCgR5fQcUREJMOaLWrMrFc08d7uDOYROSKPvbaJB17e\nwN+dPYYzxg4IHUdERAJoqaXmfuAiUkOpndRjp0McUIcFyQrrt+3jW4+8wYkj+/CV88aFjiMiIoE0\nW9S4+0XR++jMxRFpm9q6Bq5/YClFBrdfNZWS4lDzSYqISGhx+tQQrc00Fig9dMzdn0tXKJG4/jWx\nitc27OBnnziREf26hY4jIiIBxZlR+PPAHGA4sAyYDrwAnJveaCIte3Z1Nb947m0+ccpILjx+SOg4\nIiISWJy2+jnAycA6dz8HmApoDSYJasuuGr76m2WMH9ST/3fRpNBxREQkC8R5/FTj7jVmhpl1cfeV\njSbEE8m4hgbnqw++xt7aOuZdM53SkuLQkUREJAvEKWo2mlkf4H+AhWb2HqkJ80SC+Plzb/GHNVu5\n7bLjGTeoZ+g4IiKSJVotatz90mjzFjN7GugNPJXWVCLNeHXde/xrYjUfnjyEj588InQcERHJInE6\nCvdrtPtG9K4FIyXjdu4/yA3zljKkdynfv+x4zLQMgoiI/EWcjsJLgGpgNfBmtP2OmS0xs5PSGU7k\nEHfnpkdeJ7mrhjuunkqv0pLQkUREJMvEKWoWArPdfYC79ye1FtTjwN8B/5HOcCKHzHtpA0++UcXX\nzx/P1JF9Q8cREZEsFKeome7uCw7tuHsCONXd/wxo1UBJu1VVu7n1dxWcOXYA152p1TlERKRpcUY/\nbTazbwAPRPsfB5JmVgw0pC2ZCLC/tp4v3b+EnqUl/PjKEygqUj8aERFpWpyWmmtIzSb8P8B8YER0\nrBi4Mn3RROC7j1fy5pY9/NvHp1DWUw2DIiLSvDhDurcC1zfz5TUdG0fkL554fTPzXlrP//3QGM4c\nWxY6joiIZDktaSxZacP2fXzzkdc5YUQfvjZrXOg4IiKSA1TUSNZpaHBueGApONxx9VRKivXXVERE\nWqdPC8k6b7y7k6Xrd/CNCycwol+30HFERCRHtFrUmNk4M1tsZsuj/clm9u30R5NClaisorjIuGjy\nkNBRREQkh8RpqflP4CbgIIC7vw5clc5QUtgSFUlOGd2PPt06h44iIiI5JE5R083dXzrsWF06woi8\nXb2HN7fsYdakQaGjiIhIjolT1Gw1szFEi1ia2eXA5rSmkoKVqEwCcN6xgwMnERGRXBNnRuEvAnOB\nCWb2LrAW+GRaU0nBSlRUcdywXgzr0zV0FBERyTFxJt97G5hpZt2BInffnf5YUoi27Kph6YYdfGWm\n5qUREZG2a7aoMbOvNnMcAHf/cZoySYFatGIL7jDrWPWnERGRtmuppaZn9D4eOBl4LNr/CHB4x2GR\ndktUVnFU/26MH9Sz9ZNFREQO02xR4+63ApjZc8CJhx47mdktwBMZSScFY3fNQf60ZhvXnnbU+62B\nIiIibRFn9NMgoLbRfm10TKTDPLu6mtr6BmZp1JOIiByhOKOf/ht4yczmR/sfBe5JXyQpRImKJP27\nd+bEkX1DRxERkRwVZ/TTP5nZ/wJnRoc+4+5L0xtLCkltXQNPr9zC7OOHUFykR08iInJkWi1qzGwk\nsBWY3/iYu69PZzApHC+8vY3dB+o06klERNolzuOnJ4hmEwa6AqOBVcCx6QolhSVRUUW3zsWcfsyA\n0FFERCSHtdpR2N2Pd/fJ0WssMA14oT03NbN+ZrbQzN6M3pvsSGFmXzGzCjNbbmbzzKy0PfeV7NPQ\n4CysTPKhcWWUlhSHjiMiIjkszuinD3D3JcAp7bzvN4HFUZG0ONr/ADMbBtwAlLv7cUAxWh0877y2\ncQdbdh/gfI16EhGRdorTp6bxzMJFwInApnbe9xLg7Gj7HuAZ4BtNnNcJ6GpmB4FuHXBfyTKJyiSd\nioxzxg8MHUVERHJcnJaano1eXUj1sbmknfcd5O6HVvquool5b9z9XeBHwHpSq4LvdPdEO+8rWSZR\nUcX0o/vTu1tJ6CgiIpLj4nQUrnT33zY+YGZXAL9t5vxD5ywCmnqmcHPjHXd3M/PDT4r62VxCqmPy\nDuC3ZvZJd7+vmftdB1wHMHLkyJaiSZZYs2UPb1Xv5drTRoWOIiIieSBOS81NMY99gLvPdPfjmng9\nCiTNbAhA9L6liUvMBNa6e7W7HwQeAU5r4X5z3b3c3cvLyspi/LEktIWVSQBmTtRQbhERab+WVum+\nEJgNDDOznzb6Ui+grp33fQy4Frgten+0iXPWA9PNrBuwH5gBvNLO+0oWWVBRxeThvRnap2voKCIi\nkgdaaqnZRKqIqAFebfR6DDi/nfe9DTjPzN4k1SJzG4CZDTWzJwHc/UXgIWAJ8EaUdW477ytZIrmr\nhmUbdjBrklppRESkY7S0SvdrwGtm9mt3b2/LzOHX3kaq5eXw45tItQ4d2v8O8J2OvLdkh0OPnrSA\npYiIdJSWHj896O5XAkub6sjr7pPTmkzyWqIyyaj+3Rg7sEfoKCIikidaGv00J3q/KBNBpHDsqjnI\nC29t5bOnj8ZMC1iKiEjHaOnx0+bofV3m4kgheGZVNQfrXQtYiohIh2p1SLeZXRat0bTTzHaZ2W4z\n25WJcJKfEhVVDOjRhRNGNLnkl4iIyBGJM/neD4CPuPuKdIeR/Hegrp5nVlXzkSlDKC7SoycREek4\ncSbfS6qgkY7ywlvb2HOgjlmTNOpJREQ6VpyWmlfM7DfA/wAHDh1090fSlkry1oKKJN07F3PqmP6h\no4iISJ6JU9T0AvYBsxodc1LLFojE1tDgLKxMcvb4gZSWFIeOIyIieabVosbdP5OJIJL/lm7YwdY9\nBzTqSURE0qLVouawdZ8O2Qm8Ei1OKRJLorKKTkXG2eMHho4iIiJ5KE5H4VLgBODN6DUZGA58zsx+\nksZskkfcnURFklPH9Kd315LQcUREJA/F6VMzGTjd3esBzOxnwPPAGaQWmhRp1VvVe1i7dS+fPWN0\n6CgiIpKn4rTU9AUaL9DTHegXFTkHmv4WkQ9aUJFawPK8iepPIyIi6RF38r1lZvYMYMBZwD+bWXdg\nURqzSR5JVCaZMqIPg3uXho4iIiJ5Ks7op7vN7ElgWnToW+6+Kdq+MW3JJG9U7azhtQ07uPH88aGj\niIhIHovz+AmgBtgMvAccY2ZnpS+S5JuFlVUAnK+h3CIikkZxhnR/HphDasTTMmA68AJwbnqjSb5I\nVCY5ekB3xpT1aP1kERGRIxSnpWYOcDKwzt3PAaYCO9KaSvLGzv0HeeGtbZx37CDMtICliIikT5yi\npsbdawDMrIu7rwTUOUJieWbVFuoaXAtYiohI2sUZ/bTRzPqQWtByoZm9B6xLbyzJF4mKJGU9uzB1\nRJ/QUUREJM/FGf10abR5i5k9DfQGnkprKskLNQfreWbVFi6ZOoyiIj16EhGR9Io1+snM+prZZGA3\nsBE4Lq2pJC+88NY29tbWM2uSRj2JiEj6xRn99D3g08DbQEN02NHoJ2lForKKHl06ceqY/qGjiIhI\nAYjTp+ZKYIy716Y7jOSP+gZnYWWSs8eX0aVTceg4IiJSAOI8floOqJentMnS9e+xdU8ts47VqCcR\nEcmMOC013weWmtlyGi1g6e4Xpy2V5LxEZZKSYuPs8WWho4iISIGIU9TcA/wL8AZ/6VMj0ix3Z0FF\nFaeOGUCv0pLQcUREpEDEKWr2uftP055E8sabW/awbts+vnDm0aGjiIhIAYlT1DxvZt8HHuODj5+W\npC2V5LRERWoBSw3lFhGRTIpT1EyN3qc3OqYh3dKsRGWSqSP7MLBXaegoIiJSQOLMKHxOJoJIfti0\nYz+vb9zJNy6YEDqKiIgUmFgzCovEtWhFEoBZx+rRk4iIZJaKGulQiYokY8q6M6asR+goIiJSYIIU\nNWZ2hZlVmFmDmZW3cN4FZrbKzNaY2TczmVHabue+g/z57W2acE9ERIKI01EYMzsNGNX4fHf/73bc\ndzlwGfCLFu5ZDPw7cB6pRTRfNrPH3L2yHfeVNPr9qiR1Da5RTyIiEkScBS3vBcYAy4D66LADR1zU\nuPuK6NotnTYNWOPub0fnPgBcAqioyVKJiiQDe3ZhynCtqiEiIpkXp6WmHJjk7p7uMIcZBmxotL8R\nOCXDGSSmmoP1PLu6mstOHEZRUYvFqoiISFrEKWqWA4OBzW25sJktir7vcDe7+6NtuVbM+10HXAcw\ncuTIjr68tOKPa7ayr7aeWZPUn0ZERMKIU9QMACrN7CXasKClu89sZ7Z3gRGN9odHx5q731xgLkB5\neXmmW5UKXqIiSc8unZh+dP/QUUREpEDFKWpuSXeIZrwMjDWz0aSKmauAawJlkRbUNziLViQ5Z8JA\nOnfSLAEiIhJGnBmFn+3om5rZpcAdQBnwhJktc/fzzWwocJe7z3b3OjP7ErAAKAb+y90rOjqLtN+S\n9e+xbW+tJtwTEZGg4ox+mk6qAJkIdCZVYOx1915HelN3nw/Mb+L4JmB2o/0ngSeP9D6SGYmKKjoX\nF/GhcWWho4iISAGL86zgTuBq4E2gK/B5UvPHiODuLKhIctox/elZWhI6joiIFLBYHSDcfQ1Q7O71\n7v5L4IL0xpJcsSq5m/Xb92nUk4iIBBeno/A+M+sMLDOzH5Aa2q3eoAKkRj2ZwcxJA0NHERGRAhen\nOPlUdN6XgL2khll/LJ2hJHckKqs4cWRfBvYsDR1FREQKXJzRT+vMrCswxN1vzUAmyRHv7tjP8nd3\ncdOFE0JHERERab2lxsw+Qmrdp6ei/RPM7LF0B5Pst7CiCkCrcouISFaI8/jpFlKLS+4AcPdlwOg0\nZpIckahMMnZgD0YP6B46ioiISKyi5qC77zzsmJYhKHA79tXy4trtmnBPRESyRpzRTxVmdg1QbGZj\ngRuAP6U3lmS736/cQn2Dayi3iIhkjTgtNdcDx5JazHIesAv4cjpDSfZbUFHF4F6lHD+sd+goIiIi\nQLzRT/uAm6OXCPtr63l2dTVXnDSCoiILHUdERARooahpbYSTu1/c8XEkF/xhzVZqDjaoP42IiGSV\nllpqTgU2kHrk9CKg/5ILkFrAsmdpJ6Yf3T90FBERkfe1VNQMBs4jtZjlNcATwDx3r8hEMMlOdfUN\nLFqRZMaEgZQUa7UMERHJHs1+KkWLVz7l7tcC04E1wDNm9qWMpZOs8+q693hv30FNuCciIlmnxY7C\nZtYF+DCp1ppRwE+B+emPJdkqUZmkc6cizhpXFjqKiIjIB7TUUfi/geOAJ4Fb3X15xlJJVnJ3EpVV\nnHHMAHp0iTPFkYiISOa01Cnik8BYYA7wJzPbFb12m9muzMSTbLKyajcbtu9n1iSNehIRkezT7H+3\n3V29QOUDEhVJzGDGRBU1IiKSfVS4SGwLKqo4aWRfynp2CR1FRETkr6iokVg2bN9H5eZdmnBPRESy\nlooaiWVhZRJAC1iKiEjWUlEjsSQqqxg/qCejBnQPHUVERKRJKmqkVe/treWltdv16ElERLKaihpp\n1eKVW2hwPXoSEZHspqJGWpWoqGJI71KOG9YrdBQREZFmqaiRFu2vree5N6uZNWkQZlqoXUREspeK\nGmnR829WU3OwQQtYiohI1lNRIy1aUJGkV2knpo3uFzqKiIhIi1TUSLPq6htYvDLJjImDKCnWXxUR\nEclu+qSSZr38znvs2HeQ8zWUW0REcoCKGmlWorKKLp2KOGtcWegoIiIirVJRI01ydxIVSc4cO4Bu\nnZtdzF1ERCRrBClqzOwKM6swswYzK2/mnBFm9rSZVUbnzsl0zkJWuXkX7+7Yrwn3REQkZ4RqqVkO\nXAY818I5dcDX3H0SMB34oplNykQ4gURFkiKDGRMHho4iIiISS5DnCu6+AmhxMjd33wxsjrZ3m9kK\nYBhQmYmMhS5RmaT8qH7079EldBQREZFYcqJPjZmNAqYCL4ZNUhg2bN/His27tICliIjklLS11JjZ\nIqCpDhk3u/ujbbhOD+Bh4MvuvquF864DrgMYOXJkG9NKYwsqqgAtYCkiIrklbUWNu89s7zXMrIRU\nQfNrd3+klfvNBeYClJeXe3vvXcgSlUkmDO7JyP7dQkcRERGJLWsfP1mqw83dwAp3/3HoPIVi254D\nvPLOdq31JCIiOSfUkO5LzWwjcCrwhJktiI4PNbMno9NOBz4FnGtmy6LX7BB5C8nilVtocJg1Sf1p\nREQkt4Qa/TQfmN/E8U3A7Gj7D0Dzw6MkLRIVSYb16cqxQ3uFjiIiItImWfv4STJvX20dz79ZzXmT\nBrU43F5ERCQbqaiR9z23eisH6ho0lFtERHKSihp5X6Kyit5dS5g2ql/oKCIiIm2mokYAqKtvYPGK\nLcyYOJBOxfprISIiuUefXgLAS2u3s3P/QU24JyIiOUtFjQCpCfdKS4r40Liy0FFERESOiIoawd1J\nVFRx5tgyunYuDh1HRETkiKioESo27WLTzhpNuCciIjlNRY2QqKiiyGDGRBU1IiKSu1TUCInKJCeP\n6ke/7p1DRxERETliKmoK3Lpte1lZtVsLWIqISM5TUVPgFlYmAS1gKSIiuU9FTYFLVCSZOKQXI/p1\nCx1FRESkXVTUFLCtew7w8rrtaqUREZG8oKKmgC1ekcQdzld/GhERyQMqagpYoiLJ8L5dmTikZ+go\nIiIi7aaipkDtPVDH82u2MmvSYMwsdBwREZF2U1FToJ5bXU1tXQOzjlV/GhERyQ8qagpUojJJ324l\nlB/VN3QUERGRDqGipgAdrG9g8YokMyYOolOx/gqIiEh+0CdaAXpp7XZ21dRpKLeIiOQVFTUFKFFR\nRWlJEWeOLQsdRUREpMOoqCkw7k6iMslZY8vo2rk4dBwREZEOo6KmwLzx7k4276zRhHsiIpJ3VNQU\nmERFkuIi49wJA0NHERER6VAqagpMorKKaaP60bd759BRREREOpSKmgKyduteVif3aMI9ERHJSypq\nCsjCyioAztNQbhERyUMqagpIoiLJsUN7Mbxvt9BRREREOpyKmgJRvfsAr65/j1mTNOpJRETyk4qa\nArF4RRJ31J9GRETyloqaArGgoooR/boyYXDP0FFERETSQkVNAdhzoI4/rtnG+ZMGY2ah44iIiKRF\nkKLGzK4wswozazCz8lbOLTazpWb2eKby5ZtnV1VTW9/ALM0iLCIieSxUS81y4DLguRjnzgFWpDdO\nfktUVtGve2dOOqpv6CgiIiJpE6SocfcV7r6qtfPMbDjwYeCu9KfKT7V1Dfx+5RZmThxIcZEePYmI\nSP7K9j41PwH+HmgIHSRXvbh2G7tr6jSUW0RE8l6ndF3YzBYBTX2S3uzuj8b4/ouALe7+qpmdHeP8\n64DrAEaOHNnGtPkrUZGka0kxZ4wdEDqKiIhIWqWtqHH3me28xOnAxWY2GygFepnZfe7+yWbuNxeY\nC1BeXu7tvHfe6Ne9Mx87aRilJcWho4iIiKRV2oqa9nL3m4CbAKKWmq83V9BI875y3rjQEURERDIi\n1JDuS81sI3Aq8ISZLYiODzWzJ0NkEhERkdwWpKXG3ecD85s4vgmY3cTxZ4Bn0h5MREREcla2j34S\nERERiUVFjYiIiOQFFTUiIiKSF1TUiIiISF5QUSMiIiJ5QUWNiIiI5AUVNSIiIpIXVNSIiIhIXlBR\nIyIiInlBRY2IiIjkBRU1IiIikhfM3UNn6HBmVg2sS8OlBwBb03DddFPuzMnFzKDcmZSLmUG5MykX\nM0N6cx/l7mWtnZSXRU26mNkr7l4eOkdbKXfm5GJmUO5MysXMoNyZlIuZITty6/GTiIiI5AUVNSIi\nIpIXVNS0zdzQAY6QcmdOLmYG5c6kXMwMyp1JuZgZsiC3+tSIiIhIXlBLjYiIiOQFFTUxmNl/mdkW\nM1seOktbmNkIM3vazCrNrMLM5oTO1BozKzWzl8zstSjzraEztYWZFZvZUjN7PHSWuMzsHTN7w8yW\nmdkrofPEYWZ9zOwhM1tpZivM7NTQmVpjZuOjn/Gh1y4z+3LoXK0xs69E/xaXm9k8MysNnSkOM5sT\nZa7I5p9zU58vZtbPzBaa2ZvRe9+QGZvSTO4rop93g5kFGQWloiaeXwEXhA5xBOqAr7n7JGA68EUz\nmxQ4U2sOAOe6+xTgBOACM5seOFNbzAFWhA5xBM5x9xNCD8dsg9uBp9x9AjCFHPiZu/uq6Gd8AnAS\nsA+YHzhWi8xsGHADUO7uxwHFwFVhU7XOzI4DvgBMI/X34yIzOyZsqmb9ir/+fPkmsNjdxwKLo/1s\n8yv+Ovdy4DLguYyniaioicHdnwO2h87RVu6+2d2XRNu7Sf3iHxY2Vcs8ZU+0WxK9cqLjl5kNBz4M\n3BU6Sz4zs97AWcDdAO5e6+47wqZqsxnAW+6ejklCO1onoKuZdQK6AZsC54ljIvCiu+9z9zrgWVIf\ntlmnmc+XS4B7ou17gI9mNFQMTeV29xXuvipQJEBFTcEws1HAVODFsElaFz3CWQZsARa6e9ZnjvwE\n+HugIXSQNnJgkZm9ambXhQ4Tw2igGvhl9KjvLjPrHjpUG10FzAsdojXu/i7wI2A9sBnY6e6JsKli\nWQ6caWb9zawbMBsYEThTWwxy983RdhUwKGSYXKKipgCYWQ/gYeDL7r4rdJ7WuHt91EQ/HJgW71ay\nrwAABGtJREFUNSVnNTO7CNji7q+GznIEzoh+3heSekR5VuhAregEnAj8zN2nAnvJzub5JplZZ+Bi\n4Lehs7Qm6stxCalCcijQ3cw+GTZV69x9BfAvQAJ4ClgG1AcNdYQ8NUQ5J1qrs4GKmjxnZiWkCppf\nu/sjofO0RfRI4Wlyoz/T6cDFZvYO8ABwrpndFzZSPNH/xnH3LaT6eEwLm6hVG4GNjVrwHiJV5OSK\nC4El7p4MHSSGmcBad69294PAI8BpgTPF4u53u/tJ7n4W8B6wOnSmNkia2RCA6H1L4Dw5Q0VNHjMz\nI9XvYIW7/zh0njjMrMzM+kTbXYHzgJVhU7XO3W9y9+HuPorUo4Xfu3vW/4/WzLqbWc9D28AsUk33\nWcvdq4ANZjY+OjQDqAwYqa2uJgcePUXWA9PNrFv0+2QGOdApG8DMBkbvI0n1p7k/bKI2eQy4Ntq+\nFng0YJac0il0gFxgZvOAs4EBZrYR+I673x02VSynA58C3oj6qAB8y92fDJipNUOAe8ysmFTR/aC7\n58zw6Bw0CJif+ryiE3C/uz8VNlIs1wO/jh7lvA18JnCeWKLC8Tzg/4TOEoe7v2hmDwFLSI2mXEoW\nzBob08Nm1h84CHwxWzuTN/X5AtwGPGhmnwPWAVeGS9i0ZnJvB+4AyoAnzGyZu5+f0VyaUVhERETy\ngR4/iYiISF5QUSMiIiJ5QUWNiIiI5AUVNSIiIpIXVNSIiIhIXlBRIyIZY2YfNTM3swkdeM1Pm9nQ\njrqeiOQuFTUikklXA3+I3tstms/o06Sm8G/L92mOLpE8pKJGRDIiWoPsDOBzpGZdxszONrPnzOwJ\nM1tlZj83s6Loa7PM7AUzW2Jmv42+HzN7x8z+xcyWkCqOyklNxLfMzLpGXx8QnVtuZs9E27eY2b1m\n9kfg3mjh1B+a2ctm9rqZ5cSEeCLSPBU1IpIplwBPuftqYJuZnRQdn0ZqhuBJwBjgsqgo+TYw091P\nBF4BvtroWtvc/UR3vy/62ifc/QR3399KhknRNa8mVVztdPeTgZOBL5jZ6I75o4pICGqCFZFMuRq4\nPdp+INp/HHjJ3d+G96dePwOoIVWA/DFawqEz8EKja/3mCDM81qjwmQVMNrPLo/3ewFhg7RFeW0QC\nU1EjImlnZv2Ac4HjzcyBYsCBJ6L3xhwwYGHUotKUvS3cro6/tEKXtvB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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "\n", "nb_plot_mag_ap_evol(magnitudes['g'], stellarities['g'], labels=apertures)" @@ -165,11 +185,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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gHtyuFgKBAA/fewcTpkxn8bIz+dxpZzOpaJZcfQ8wd6uLzcUfs3bNu6xf8z57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\nporFiSRJmioWJ5IkaapYnEiSpKnyX63KREahyuK4AAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_G'], orig_des['MAG_APER_10_G'], stellarities['g'])" ] @@ -184,11 +215,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Aperture correction for g band:\n", + "Correction: -1.1690807342529297\n", + "Number of source used: 56702\n", + "RMS: 0.42743666978387057\n" + ] + } + ], "source": [ "# Aperture correction\n", "mag_corr['g'], num, std = aperture_correction(\n", @@ -210,11 +252,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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Qv/Um1FSb2ThJLklm9n5JNA/EgTlTi7R8a43WV9UFXQoAAIHpTai5VtKvJB1vZlsl3Sjp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\n3cTHNPHZ+4FuDY43AMe6tq5sJtMzwN+YWYfgHmOCDSdFJEepqBGRTLg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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "\n", "nb_plot_mag_ap_evol(magnitudes['r'], stellarities['r'], labels=apertures)" @@ -229,11 +282,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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dUUp9BXiR2FLi+7TW6xLu+RAIR42kTj28/vzTFBaXcMwJpyatzUxkMStm1JVS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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "\n", "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_R'], orig_des['MAG_APER_10_R'], stellarities['r'])" @@ -248,11 +312,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Aperture correction for r band:\n", + "Correction: -1.0410842895507812\n", + "Number of source used: 59161\n", + "RMS: 0.3053058701784065\n" + ] + } + ], "source": [ "# Aperture correction\n", "mag_corr['r'], num, std = aperture_correction(\n", @@ -274,11 +349,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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urc/rxTeqgi4LAJBACDXoU+ZNH65Hrp6lvMxU/dMvF+uOZzeotTX5bnYHAHQf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\n5e5PRpipNUOBu80sn2TRfb+7Z8z06Aw0GHgk+fOKAuAP7v5UtJFCuQ7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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "nb_plot_mag_ap_evol(magnitudes['i'], stellarities['i'], labels=apertures)" ] @@ -292,11 +378,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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aMo3Tz7mQWactZOZpC5k8bZYEDxEVCSdx0trrob6pZ8Jn0ByafG363PkTe2DA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\nPfS7e6NuMkjX1YZjVeqyJi2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p10TisqdXeYUQQoixytpwAmA2GlhQU0BumgQUi8lAca41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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_I'], orig_des['MAG_APER_10_I'], stellarities['i'])" ] @@ -310,11 +407,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Aperture correction for i band:\n", + "Correction: -0.8959617614746094\n", + "Number of source used: 114948\n", + "RMS: 0.2797945902762484\n" + ] + } + ], "source": [ "# Aperture correction\n", "mag_corr['i'], num, std = aperture_correction(\n", @@ -336,11 +444,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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Ji4NRFAJXwV5QAIBBLpD2U5l/W4NJzrlS+ZZW/zN4pSEQY/PTNK6AFhQAYPAKZKTmGP6t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\nBqzE2du5eAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "\n", "nb_plot_mag_ap_evol(magnitudes['z'], stellarities['z'], labels=apertures)" @@ -355,11 +474,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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mJ2R+OdNhZk5pFhaTgUyHmbIcB1ube4dd82EzGzmmZPDD66LNbjGysDKHmoZu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\nDaEQ7G530dDlpiLXGdeD/rZ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pnyQrJ2/EfUk0i8kgv4ULIYSI2LDhRCn1ilJq4yBvI9rb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\nDidmZmZWlL8AZplV/TGcnw4AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "\n", "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_Z'], orig_des['MAG_APER_10_Z'], stellarities['z'])" @@ -374,11 +504,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Aperture correction for z band:\n", + "Correction: -0.8245391845703125\n", + "Number of source used: 177727\n", + "RMS: 0.26706215657673255\n" + ] + } + ], "source": [ "# Aperture correction\n", "mag_corr['z'], num, std = aperture_correction(\n", @@ -400,11 +541,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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HRSnbIdNE4YHB3XmkchO3zV1KSpLxw8snc/HU4qBjiYhIH+uzicLunuTuueFt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\nIiKSE/4/t6q4e04ZK/IAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "nb_plot_mag_ap_evol(magnitudes['y'], stellarities['y'], labels=apertures)" ] @@ -418,11 +570,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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2swGn1YTTYsJpNeK0mrCZ02Mh6UghwYkYUaqOmsv02Yfy6D13YrHauPuJf5OV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\nJiYUuJhQ4KI1EGZ3S4DdLcF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BpLQfi8V4/41XuO6CU9m28UsO+coxA3p+YZaVIybkU5Ld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\nSUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "\n", "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_Y'], orig_des['MAG_APER_10_Y'], stellarities['y'])" @@ -438,11 +601,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Aperture correction for y band:\n", + "Correction: -0.9853429794311523\n", + "Number of source used: 49121\n", + "RMS: 0.28802943231435985\n" + ] + } + ], "source": [ "# Aperture correction\n", "mag_corr['y'], num, std = aperture_correction(\n", @@ -464,7 +638,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": { "collapsed": true }, @@ -517,7 +691,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": { "collapsed": true }, @@ -530,11 +704,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", + "Check the NumPy 1.11 release notes for more information.\n", + " ma.MaskedArray.__setitem__(self, index, value)\n" + ] + } + ], "source": [ "# Adding flux and band-flag columns\n", "for col in catalogue.colnames:\n", @@ -565,11 +749,56 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "<Table masked=True length=10>\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + 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\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "catalogue[:10].show_in_notebook()" ] @@ -590,11 +819,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", + "Check the NumPy 1.11 release notes for more information.\n", + " ma.MaskedArray.__setitem__(self, index, value)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The initial catalogue had 10611105 sources.\n", + "The cleaned catalogue has 10610962 sources (143 removed).\n", + "The cleaned catalogue has 143 sources flagged as having been cleaned\n" + ] + } + ], "source": [ "SORT_COLS = ['merr_ap_decam_g', 'merr_ap_decam_r','merr_ap_decam_i','merr_ap_decam_z','merr_ap_decam_y']\n", "FLAG_NAME = 'des_flag_cleaned'\n", @@ -621,35 +869,65 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_SGP.fits\")\n", - "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'], near_ra0=True)" + "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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0JhZyAcZZUzLuYyVlrpQQUkJKGdteM3RfF2+KkbbgQscaF6TCnal3Mf5Oyhii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bmvc/+clPYnNzEwDwkY98BG9+85vxute9Dq9//euHNG95y1sQQsBf//Vf46ab\nbsI//MM/4Gd/9mdxww034Lu+67sOuwozvskR+no9U6xcoo65h/NAj1lY5DFsbicLgEdDO/ZtEEb0\n/OAtDHAG44sxIkX/haycpEhrediNhBR4gnojbU5lHFQQ0A2qTwu12KnWKR4YB1FqWu2QpmP80KZa\nEdO5jNVS1nGMnXOBxGkr1ngtosct+/HlmCVN8RrxZaz0LN/fQtvJ0bgKQNXFppHarVoPeIkoY4D/\nld/5O/PsKfmN3l6Kz+nV/W5oJV8FXlKLWN493Vott0jZmEkf5yRX2TAv3ZNOG3kdPq6oAvCSl7wE\nn/3sZ9eme9/73oe3v/3t+IVf+AX8wA/8wHD985//PP72b/8W73vf+/DkJz8ZQJoS+MAHPoA//MM/\nnBWAGWvhHrM8UC0hkAdocEOSCEwOxCa7T7Pa2k2tXKgxAqHLD3fTvcAo0wfcPnHDv9rytMGiE9hf\nKdCStSUt36nQykMRhgcTJG6oWcqlZQtbygxfwS0xbc28rfzokvl92e7klWj1PK241CsTeqUk+OG6\npKHtr2m/N69a1qLOEpSXDnv6iyOCzhsoSEqfTENjj5Z7Ul1KLM8KgG96E6zf0ofT8rtQXIBEUVai\nMQZD3zqf5HBxTcUAAMCf/umf4h3veAd++7d/Gy960YvEvRDSi+rVnsl93yemOWPGGvjzFw6QOgAh\nny/uUJbQRQCOb7YCtLSCxBQ8KAit8LU4st6cPcungoHJigAgJh8Y6lXU0/IrtDrGMO1DgqZ7AYry\ns06QUEOQ8AmQViH3CdAUAFlhXACQO1mrAPXyv/TcuqV7/Pkxb0JgNeAqS0vxKdY1f5ulhA5yaoFy\n5EpZEVd2XxiDdK3XdOnrrVwSHVzJtYWntpjttnR5P8eSisag7Nd1ZEA9xSSFX+0riuq+7Ek2tK/A\nUhIsuL6tDB4mrqlVAF//+tfxS7/0S3jXu95VCX8AePrTn44777wTv/7rv457770X+/v7+NCHPoSP\nfOQjeNWrXnUVKJ7xzYa4tcV+8Qjzjn34A8wirEa+R9lOmKYR5PPlkJaI6HtE36dlVJ6EaoPRuTw4\nI8+rUzyXsyo9jWHZbfI/mQeP9resSEorG6Fl6bRhRaAX8aRLoMVlMgUX/sUV3hIsVAuit1iQfCVD\nBK24kOe9T2XL64VrOydrZUX9dD3tVCzhIvbTdrTtKQ+NdUJcKw8XY/HXUzGyp9I7opUkDpZCnZbj\nBriQ9+R5sA59AAAgAElEQVRYQ0rtaaNxQsGR48+1VIJ1PaJHwCp/NFpl2p7Jw8c15QH4wAc+gHPn\nzuFNb3pTde9tb3sbXvOa1+C3fuu38K53vQuvfe1r8fDDD+O2227DL/7iL+KVr3zlVaB4xjcb4nW0\n5WbZiKdmBdy6L+wgVpxBM8W2u5ULEsd+O6Cs+89837HofJc9D27IWgsHex26NTtu2y46pYfPQrDN\nIsfQ8gBwRYLENQmqdSyVO17r0DheL157HScQWT6RvTt790OKt7Ctx5LntGmV8Xppm9OimdKv8rey\nNDMOfbnEPtTz47xMlOasvFAh58lFdUtxmPLuZHHyWt3mZVQ02jQWF36S5z7vS1Awtq4h9QhS+MY8\nNkUtJE+RUFoCynEJucs7AGfRYx8RO/BIp0308DnmYGw0dV9/sLmY+DDh4hHynT/wwNmrTcKMqwz/\n4Y9j68P/D4jBA/acHNADkblrAwB4tj8ACS8rgFCvINbMrpMuzL4DXA94XxyNTBaULX5Z0eYmI8Mj\nGKzlmO85CKZuzx8TpIWtt74pFmGLdVjtOebm5m5qXocaRWxzVzd/xom8dMAVnwIoQoDeoy5rLBSy\n9oYQZZKmMfbKBb8MBeWImf6I1eANSWLMV72A7rlhV4Sy+kFuWE05cwXGilUoSyyh2rKdh+wrEVZv\nieJ+DT3FRtkbU22eAm89ysG71qjkfRd58x02BeMtingN1PvOyRyr/ld9j90u4NZ9N4zyjazQyP4t\n9xlZnTiOvTf9r3XdLgNOn76uee+amgKYMePQ8eAj1SU7HMzDManrPICOpwsom9DUOUo3OxdUnWAE\nDg5psyDp6DbP7ElkQTJcq3TDBZy9CDEQM0+u5hLBnj7Wfn3lGrmXuQv94ChtIzceKjb+dAf2Ohd9\nLeyR//JlgVOENAf3XNi7vsnyW+A0uSp1oarsQ1HEUZlXL9vvljdVC9t8JbrcCawpo/p9xkGRIMVJ\nxwBE4zudiiff5VC3fJ6GG/qiBcseZsJ6IJ2o61jrUVvyv5SW2iGWkztZbZ16H21FL6dSzbYFYH8D\nONtRkGENuXFYVl52tptlHCauqSmAGTMOG+7hR+kbiht+hElXtxqWyYARZ1/PNqDJvDTCw/lgPsOn\nHCKYy3FIay/DEszfMmgqirUgsEBbnK5Dqy1rW6+OxE8MvpWDFCac2XO1ZXzaYkyxkF4byzbV7Fzb\ntmT9ynXrdonaAyOtby7IHUqAHE1eJFGW3eGZjCjyog2deB2zn7oKPNRR8No97lVrt/qBViJotQgX\n/gCig3MOUW1i5ZqeJ6a4+QjEvJmTQx5InchFT7fxPEp75nq5gBBlKpenVUqdoL7TXB2qDnUqdNg+\nB+zlMh73HVYArg+05NAeX/HYlnn9sDErADOOFOLWchjkw7XKgkvrp2PlTozgW8iWoCIOn4e+UhL6\nTrD9MvFGjJpYk8hKSL22ZewbbCU9RFMIsVRkyMiNLEVbj8IBxyYEMDHFFNQ5xIGhx8Eq5m+trRBE\noWzYO8qN52BTBHD3O1DXvaU4FAWiUFU8RmX/SW7NZ18GaZVOB3CmJyP7V+oa2k636sQfuLh3KFoz\nKyGW/6UEaZYyi9JBz/vkPhBP0jw79Uk+FVH7tNLexVZdeDip9EcVegttVv/YQYctAA/7/Ioc8GAE\nbokQqYVyOLJB3mFingKYcaTw6G3WjlsGgwBQGDl3zweW3Jo3Lq5+skz0HDqQebWaLybrV3zY7XFB\n1IA1lcDMsdpCtUtpBRC2bGUbZR6eFulZ0PbnGKQA18u/XOOOU8/KsnUJNp1jFGqFcn1tIvuP+o6r\nIuFdVgjyNAxJHxdzfxrzvjA6vHGN0RgY7QFxCM2bVgc+nSQpGEZBMzt++BFX0DXqqTcndt/k1rul\nMhaiAp3W5YfGZBSXqbSDjr0AYCMkxcwBWA07/doqp2tu6X24mD0AM44U4qPnJlp1dYphwK7xNkub\nKm1N6zyGaP96OSFH7VEYSz5J+PJELLNpbJ3Wm9uwl6aNgUVxm3RYAWatsovNx4V98d6w3MnN63hD\n1Pah9mfQBEObBqsbtKLMhQ9I1YPQDSkJcoKI9hPgNGqlp0XvWDrPvnkERKywQkTEAgvhk7CFalTf\nihUOoLwpH4EQEOHZypaSRuZJmKpMTV+iOPhRmDc/XW9N84zlVf/uAGwC6AJwwSVlgLwwpSxSMoBo\nGiaHj1kBmHGkcPLr95Ufzc11WpYpWw62ni/I/BzgOsYsJi++0UwtCTjuoExXw8Bk9arryA0bAcve\nTf8Whl5cqa5KqbWKS3fx19RoUUgl8Xl2qBpzoejYijWHYU3l8ECZD+fOWbDv8jq3EG0HsxPpIivD\nErgB9Vw3h93+TpAes0vJij1oaH+CBg0Phx4LLJjnhA+WWgnQSy4tiofW8hE6RiHl24MCWEfs9qrc\ndHdK38ubeg0jx1Kg9LsrCqWktU6lKV0gBQJu9Sk4EGy5Ke9VwQGr5zx9Av2XH7MCMONIwZ85U1bR\n0Ujtu7SUaOCqfDjzvcTzfUfyWzPC4rK1bC3KJ6LLKwymC8zh5N8YAa8ZktyjjOxfKbi4EKB0ybof\n8spTm0WRaFKjaG95TMpd/ZuesMSUDWvBG0lAXuPIvrMWoMxHXK2JJiuwkqtb696ZU+XTM3xJoRZ8\nPJqffBdyOZ32d3B3PleDao8Mz6FHPa3QUjDrKZO6D9XvZGwLX912ItYhAGL8OACunHWgy6meN/pr\n3Su5d8JhPJgX0KtU6BvFjhRVU5ednvMAdgYFolCq6QzdAugvt/I8DXMMwIyjgxCwaI15R/Ouhqkc\n8nx+6AY+llJ5NHcQZChsU6aTS+oKkynPpdXeUR1EhJCIKEeSjrk+245V5Do4dHBBLkPUdtF4HvW1\nKc4RrULUd8e3e0vPeNYKkdnyUaXL6K0s9dI2yoNExsUyZz4XTW6IdstwBU5eL994iBp/W4nKdlvV\nSy8Bu23X9aeSSlNH5eiS18FZa/sdhn7eyp8redQX6rT6E8QTHEU50Ajsb2DtTgonXwpKyoFUmsZa\noV+t4O//xkiKw8OsAMw4OuBud2XoR/V3QMug8twKSJCDXDIN7mauxQC/wodkZozOITrPyC8OROl6\nLGFkROpkAVbtQNtyubaYmVRgLt2e4TnUG9RQiYB8D3wjGJOOSs9qKRnWjghtCvXVEtE/LvR1PlF9\n5Hsub7YoldqXsp7CqZCtKH85IxWnzBaAUnjXQZsccm8MmSfPS9dxrK0HDbqRjncMbSnUjICUThnA\nadMy9iY2AOD+h0ZSHB7mKYAZRwddh96h7H7a4iEcallzYn7a9QnULmO91tqr9O1izZ0JI+kvrbXy\nB9HltXO0bQ0lAVMHtdUix3K4WnlOpc8Cb1Ne30RN3SY5YG40wppOvuMCTu+rwOmZ4tsgy5C9a5al\ns18v2usiSp6c7vQroOwTMCaAuGCeGiyn36lHmsbqht/21IyV08jbdwH8zA1RfgCc596YPLYC0jSa\n04N5TBmiY5P1+059vGz83Oov0kMTqjGvy7ZqXbZtJqocAOzuNso8XMwegBlHCvFJN5dByfiAM6YG\nWsw4RlrrT7A2UgGKWe2F5X/xTmUKWS7nEqzPR8c08DnuZMO0ZvvHRJ3tpD54rYplS5b4ujwqV4X5\nzHoLs6aCv6/xdHXpUgxJ4RID8wNE5N0Yea6+San0TDnQHhXFo2TTWk8U8BJaSxsJNN9dp3FZULam\nAGy03fgpiMGzbCLE3v6iesx9Q6tqAo0o6j+0RJAEPrVC+lfulVim4IoS6FAvz8WQn/TOdKxd/fBX\n1tlStKWi4AD0Gxu4Gpg9ADOOFNw+07QZX3JA3mCMWwpte8IFZzCny0SjVaaQIJmFRSBHS03IsZ50\nGBO2ZMO66oqVsgWuGFnChP5ygWS7Zy12nFBbodOfLb/b0xp1mrK/XUqjp2PE+8u73rVoSQhA8CWF\nl5YlBRVGQQEFlNpBLUUx4Gpnoay45NPvPb+PvW4fXfTYXrV2pQsDLfxcgWkR+Boq2DK5atA6Irvs\nj8DQ5TELvrRuDNwLoidV6E4rB1lCCbId9y7pPJwoMSkhEYA7Nm8FPGPGocOffbwwYcapI5Ddidqx\nbaxzd0n4aoe3ZBFyJ7Nx8ACxdcFiLv9PjMgQX5ZnUuXRZtqlFjaDq92c9b2W858zYF4WhxToKUfL\n4ufWVHJNy3UPxS2uz/KzhEVrO2TravsgIvW9V4vMW680kAWc3q2sb1FGIa5GlJMBdcZ1QbKXyPez\ncis8vnwcDh77iAgIOLY6ZqalsvVC1Kk+IL3xlYBvK3KmaI5gh3NRuvpdcEXTvsOvst4ighN7NhUh\n3fcyJx1kKXc1LGUXPuHg0T1+4aqcBjhPAcw4Olit4HZX5TcPwHd9ZkDkGkxIOoFLllxkyUXG45v1\ncGj1oo4U19MLFkaW6LHNhshhYEO7ujkLj8ZvTmcrv7H7tdCs0nL/qkghN4JRs+sjJUrhpEssNiCx\nXnkEtE5L7m+rjIp0kSyo0xwbFDdeO9v8t84aVgtY7y+pEtb89r5foXi8HHoliHX+Uf2nq1CPEcuj\n0zhiWccCBP0jf6K+14alkso7NBZI2XKFDgfAF+GfLskNjupcee0lP6Gyqje2szOtMpcZswIw4+jA\nGq0eaQ+AYSR0JW2ItTkRZFS/zMi23NtWEbdidSja+ueb+TKL07J8JXiMgO3MnubiPQBHVk8NuTtA\nbtJTp5NrHJDm1wNgHhPbKkfkIDcXilhVKlBBYOlqp7H2SwDIgj+v4HAR8Nb2y+VBy96WZQNk+ctU\nrc5dvpdexikENsKCKTIRi7AQtUl1DFWdbT+JRFEGaI5cll0pARHJIxJyOqE5sVJdENZ/6R8y75bz\npe4PcVD0p/jsOHgZyR+l78mWiuDtktNtzjEAM2YcMiJi59ZsutEPvADkkWeB58SPtKEibc0RJSCw\nL964b8Cr+3IVQiOkPPsmK4FklhWbd/iz45iiJCgXK4DBPTp4SS06HEurwBonBp8j7PUcCC+Lko/Z\nPqT4yEmNIuxJdbCXJwLUf1gOzOrnM+hrSWH0IO93b7V0K2htSsDkIi5wfHcHe90KPnps95sNGmQ+\nad+FFDC3yMGJFhXp6XqBoEZElCskQm4lysTrJ3VrFJEqhCugbHatdPCozNxm8sXXdLJbYyp/2dSp\n5Q/JFY5XYwJgVgBmHCU89Ajccgmc50tuDHYq3LUYPMPrZlZHIZhMdjnStrTg8QPSNuHBiMUabwtr\nmnIsO99NI49xWdi74F0+1MvdtBLAaSCGrk8t9MP1kkqDs2mtPFBh1vHOtE0tuYUploDUgDIHzMuO\nuq287dOJom7rX1AqlXVEgVYQpK63V+mduL8RN7CxaluhLp9pQX2wR8AKPTw8NlhwXmtEaEeaFJJG\n/wqZzmELTIsqeVFb262amNk4uhdBAT6OlLboEB3Pt5zXUOdmvU+uTVAa2YficvYAzJhxuNheTlhv\nazHUIn6dcT3BmhLgt3jUcxY+rhYdjokZ2mqkth7atocumjDOFvUDfD7/8gp/DpEzncYmlACeVtNB\nSoNnaTj4vobrpiZIuMmjdLlzv4h22vmNaOS2bW2PctqKX4Hc03SFi66RfmTkTX1FXyt0W31Ez0kT\n6naS/bAoRB4OG+jQqcj8tjpM46qIf94eVJb9jMx7So/kikitMhfVbbjOnA30NgZqHP2qx1ztJWqD\n3pJFf9y0vC6Hj1kBmHFk4M7v5T3HgcLQLLeivuSSwd5kPSzaN6KeHxDQCobc1Y8zkfrIH4jnWvS2\nBJHtOm7dW+NpUBbkQVHnmvMyhH8T/F2KteT861gEQz8plbzL0wVwa7AOlquVABvtqQSJDrGa/y/e\nhDjMh6S2lOv+p/qqyjvn/bAoAem6FvxjvSTd10GktKyRP+nl10Bes2miv6z8SGjt90d1JIHsfEx7\nCgzLa/l9qza6XOtdc8WF19PwI3YAnna7XalDxqwAzDg6YFsBp2EYMtPkTNzAcFb42HI0IGsJqow6\nz4M71bn3gHsjarbeUiascsfurRcXuiTr/kFqaS2fmoDBKOPPWIKl3rGuPkxm7E3Zlqq+q9/G2P78\nfKkit7B1+XI73HQ4Fbdhfa53EFSkdHrNuzn1YtZXEIrhOGVE89XI6AjpkZAZ8fZbo5Z4K4mHY0pP\nyoUrFZwmWaNSKmXMxq8vT6y34tdd5+cFUBnt/txvbyNed6x5/zAxrwKYcWQg98mnXz37EOjQnnpp\nW2EZJIzZcjrOaZzFSrP73zsW7CSjyDm1EExV3rGua2h2PiX9yMSCAk1ltJ64mKkDnlexOJtQDpxC\nf7KGY343bkicUtG+e3x9vRQcxT1fCy0N7RzmSqFWOgAutNJkAk+j5/gpLx2TsRg+vhLgckkqKRc1\n9Vbb1u7tiFg2nMqbTumTrO1liC21cKx36dU1LpPU8oKVPK2dFJ36W66HgWpaFlneHSEtx00U0Tiv\nR+jweqyFQQ2a9TiLyw34bzzcqN3hYvYAzDgy8A+eGWU//Cy59JtL9GSKkOfA1p2zKxrlsRiR9hdg\nWZXd1Ip9p7duHfIb/kp/ghRqbUglQK/vLmwz5jLsedj62ZrGyw1LiBpLL2K+7kL6CIZekNqhVui4\nNao3m2nZp9rVXDYiUsQFokv7S6yJgVaQX3Lnc2rabm1eThA9ljacWf++rD4l1SMeC1O3kVSYtFep\n7Qi3QONBK5qtenDvwDh8biEeRFrUFqJdj0cHeRYC6g3BGqyBcrX6lI8Rq3BY42gcswdgxtHBSjNp\nCe0ApL2+SdK4Ss1X6r+VOfdKi/vEKKVfQlshZHsUNyL/1Bi3lfheBR778MPO6eV5OlSX1/VyMier\nkbg4sUREg00JwtttUj9ms2JrykRSWa6EaoaZO+WZQzzKFMpJhOKiL/EEkgJ673bPJQ9Ca6ph/Y6P\neuqlsaJgID4AjgvyIja56G97k6g3H8RDZNVfj4WiFOjeVE/skPpc8rTUq3WK1nRvme2NGPZeWHSI\np05OzOnyYlYAZhwZhFtPrxFl9TBNQ5QYUGY0w0YlDXvmoNxBoOU4HdunvJ1LS+DsA7jgdtDDYzXc\nHcv/oiqj0Aq6bCkFXKh7kdoNl0Z9sCbSIjba2MYPjLhugfZKhDrATtdD9g1pjbegD6Gh+nNhXdex\n1KUHxQfUUz/OfFbCnrpIJAREF3J8q3Tx171mnVi56MExCW3H+5Tnxs9+9CziYuqkmqt6B/XZ/KZ2\n94HF1XHGzwrAjKMDwdd016dgrBIdYM1sxpRUPCf/ThNGFMJ3MEtIspBxa799LwDYwzb2/RbOYxv9\nsAzusMGXz2nhBnDvxBQkJSDmrMpURqtdUgq51C9dt9zVU2jQ9DPBKOLUUr1qoWzRx2MTeKrAFLjU\nv+oVASUfJ9rXUry0gsK3Qa7nuqOLKBsbaQW5zrl8rJ7K8+FufW7JT1XokiDl3ru2qNcen8i+19/q\np0tdhmOFPd+fQq9iqduS97ThHMHz5+EePNMs9zAxxwDMODrY4WttHZLLlU/a8cHMBYByDpdZAYjd\n3gCYh72j7CFfLy4as7zD8BTRIU5FY7MO5VBAPqXQXkPew2GzPwePiI3RY0j08q1x2NH0VOqYSsKh\nnfGB3SmOWylSakZr+WckfVFdh/GEtVFQEcQprmA1WPgx9ydHK0IikpJiKI3RpJALDT0tUFSEWHkL\nOF08/ZjfgU8/lNLTHaobv0o06TIsIWeBTxSocSPgYQnPugx+EgNdb/U/LuJb+bb2lEjqen2OhU/v\nQZydUMesaI9CRaPzcI+fvyIquMasAMw4OtjdFz+LIGlvvuLyIAdi5n3Mahn4wXqB2xJoNrsslnLK\nubFTXfSIntmWmafKetU0OQAncE6VQszY2nzFVYzWQvGFWEy4tipLzeUmMTI3bkon16ktmIqTPaon\nRDZUnKKYq2ZxaAdCN9yBOHWwRBOQ32jwJngPR6/NWdH9NbTak+rDhTNfNmgLTx6gN83pLb0gbqgL\n70frKD2IO78OaG2PDassaUVblMmIff28XRuZt75GvV/vCgm4oW/U3greg7mvoyiLuZS+R7hKywBn\nBWDGkYHrUxBgYg+DCY9y4jqGO4BkG+TZi4jFqiMEB7FPueI58mdQ7Ohi9f7kfsTgYobibXK1tW1n\nFWbs8hW6k2gu1v+Y/U7lHYDyitw6Qr21TM2motS2Ppkx8maKHi6E/C6pntwlXQscUsC86D3Ud1J0\nfbCUuuw8aMUOWEKKcrXOl5Sn72nFjikKMYA2o3JW0glwWdk6mHCXiNXKhuLBoBT8uk5Xei5/563g\n19rO1inoX60ktt66VAjLd7no0N5/wvK7lF6m7vUR2Fqa9TpszArAjKODR86iODxpEPPIYekE5mJB\nXHdRpvKMfUQY3IRbDBJyUxkt3MjNK1WTgTG5YqlGAHDrDxLWZdvqTis90WnfmeIlqCGXuI3jEpyk\nQu5yZUPbunqJX58fa7u9tRoZBqG3gGscUihz4B4F22VfLFvrjnqH0Q0dNy1TG3en6/zWK6jTehkt\ntCt0cprH85A0yDzKKLCXAkKlnuKrcMGlZnNBUefFOBkP5KwVhbouPF2571b95Dd0OTEHAc44MtCb\nbShxOlzXttk4lOCP5SoX3QgufSaDtna1n4kinbw+hZEUWywFXlmqwzSGZOyqNhnFwozqvxrF8q0F\nZ+s3soUO8UIpUFA+EUFH3hbFLwx3Wp6aOHgFHNxgTxGb38/fFiw9n0vm8eFauOnWbLUJ/xgCcXKX\nky0iSyO7taWetHKUdnZpKV5CHYzL+1L51/ZhpRU5Hi7/5cnGPGCiFgGIMcJFbgzwp6eIybp9bKpZ\n9D/rh3pzpSuF2QMw4+hgZxv7AOjcLRroY5aCVgTI2pOsOrO0CBGMJ0CbBQ5njgNwQR53zkqXIUe0\n7DAAnouiTngoIkuvXZ1TUMdC2Ju+6Hxj3k9gBdqfbv1iy/J8Xab0mFDpLSYsr5t5+8CEQ1SR2vna\nIJ4CrM1ktBuYvrnBBSx9S3WgYXHJ89IGATdkX06ekwJEB8bJ39UE1tDH0nu1px44CmXpble1Y9vD\nI0eOJWztfqjfgVbyWoJfvh9+YmbatVDGsFj+BlPBd/y+LrdDUd+KYlhWbJSH7QW7hqdmUNo8cPJ4\n9cSVwKwAzDgyCDtbQ4eXLIvEmt74pmwjy4VfAg3owmjLTT78i0XjoksKwBDDRgGGhBIMpy2tZCF4\nMeUo6amvtIT/OsVA2qN2VLWVh0NymC8AtQyuInQthdTudmrNSEthXEETHh6vQ7GsYLMAUr7KNd4a\nFlsvJbbtTLv9iOI4vFNSJCPK3AFZjL0qRQdHslK8SytEYg5MFFqmtrx5PtT/uuFOep/1Dnu896/z\nCejldrZQJi8BLf/zjd5R1/ugqJ4aNfClRyL1MBZfMQm87ym+AaQZKdsSOHTMCsATFTECq1XaYOIg\nnavvAe+vWoc8VCyXI4O2aPUAsXQ7ij4hMcuoBzMsCyAxs5hnAYgVOJcvCo+BFYUPOJ9eaW1DtILl\nbEyxA+V9rRzV0KKVW5+DdVuRxIMhi/Uq4/vlg24oDSyVtsDIZ1GHmklGzlOTH0e/t6kCRuYSs2fG\nKq/V8o73g+gGK7ZWOrh6U/qK7IcB8NJ7U8NSgMq7otMxpLAuQX3FgraWx/G6lr4j7+g+ZQXSrQ+R\nrXWbdjR+67emTaa1PFQ2+Bvgb5lf532R2jRsbs4KwIzLiHu+hu0/+CB8Hs/99ccR+xXc1hawsw0s\nF+j9AvH09YgnT8AtN9BvLbG47xtwZx6Fe/gs4u4uwq03Idx6M+IdTwKuOwaECCw3vmmVg3jqZMNi\n0S7FKfULzFEgxXJLsPYQLDo5jp0UtelbsX64buBc7bqsKa33tL8YrHP0ajbPQ/kMm5SB1skXUUYp\neeR7EXJWqZydRvGEbZ1xtstVi9acdt0f0nPELleQbn6ec62K8FxIrAnfgvLuu+wNsNem6Dax6L+E\n8elKCR2KX4An4LtTdGZZ9bJOuUATqN9bvYoiVitDOGJJSsf4unigqnOKpvgTTD12HUKue6aNlEQq\n1QGIG1dPDM8KwBMQW+/7b1kmpSVKi4cfSzfOXgCQAuEWAPBZ2en5Pm0AgK89gIDPJN503THErSWc\nc+gXeTPMjQ24226C29iCe+gh9MtN+J1NuEfOAltbWD3zKcCTTiePQpdN2LOPA2fPwe1sIW4tATjg\n+A5wYRc4vwtsbwLbW8DuXqJBKxx0aAadTjZMvCtQOl/Yl//XLzaEf2HZtUAIjBEz9SGCfY8oGwLx\nlsTwjGZ9NF/eiVUI0uLSIiUiwN5oiMMW/rUFYkFPSUyDB9m9WZYRU24UZtn19fWp0CodCVmuyCUV\nRduT9vK8sRYqO+9FsUGPuckAnLDQ+Tvm7ZxLNio+ZVObQvm4tdzOq0Za1MjPGeR91OeID10+p0p7\naTTN5dnyl5QKW0Vvg3lOMn3kXWrXVo4uDL+k+gpxPz1XpnxIY5P0ij48NINLg4I7rBj81mabjx0y\nZgXgCQi3uw85n20JjRKwRD3TAwhhgYAFgAvwPikQDoA7+3gS3iiWAQDEL31VDIE0AFJ5y4/fPVhB\nAWRx8XRAXHis3BKL3RXSMOzRb27A7+8XcXrdNuJyCTx+Du7CfrY8GGvZWiJuLOCWG4ghwJ87D/Q9\nXARCHwd617M/ncqyWpw0PHllRLvSrSKQ+BuhA4fB2ivy6U1HbCYATu0AuLYO43ftdqjUv3xt2pxr\nEUNZYcrz0JqftzwY1Ef4d1f1W6Kh7bDlWG/RFcWutdNBvcNgzTKjOb44SAlwKDvsKeuWFMoYkwLl\nIrsVh79OBOdxi7L2imjRpJWAsSWonu8rMOQWquc4tJXfVuj4e+TPeJGCqB57k9bS2UJzC9QyfKrN\nVqPsX1rBkZJ9mprF0np3VYQ/MCsATzxEyVqpW9uWoex0IWwC8RiciwgRiOGCMjiJAUQjB15eEYJ0\nvwMOpxQAACAASURBVBvokC5atxewgQvDBRcBvy937PNnzwM4b1IfAbgLe8CFPVbTAr2Ras1OLDej\nDJCS64B5BpElr5mXzLHEDztELBihEYHlWZYy0bTwmIDhW+NeHLS3ghTGesOiuv/Ym9EMAoIFK6Y8\nxkEKT1EiLcv6Ylcu601pqMwOw06P5gjh775dtkMP7hUo/UwrJVxA5ndHKzxI0FfGIDt+VpUrf2sl\nzprn5/eniSriIbUXQb7Z8ZiDkr5WEzhNssWmeS7Gelg9lgs/bG+mNKU0CUPdGZvBYHn1swdgxmWD\nc3KfE36r8SsCQIxwYRMUOOBin+enQ/VkQolS1ltltkttDOS1/Z4z7k48Mlba9CL0cqTa6i2MKOSB\n7atHtV2jy07nqYR8wTUSBsQgJafcl328XhNa2wDP2w3X0vNBlTFdAEelntT5yOmX2q1CdNDSvIsR\n/hG0DE4Lky6zv9K29pkI1lJESwwW0cJ/862DU6klB6LGA9EP/L8OPGvb0hLUpoHlrV30vA7SCm7B\nVf9OF/klB/5+rWfs91uUqLHerO/ZCkG9N6b2kbQUJ5nrgcCzbHRfd99DswdgxuWDI3ei5YMtqSCH\nVwRcD4TMoGKesx/yiRg2svHcriYGvQ4jA3hULwjqdg9h19fT7c0iajZiPcxn3i0GknPxckQXpk+r\nA/QdAt+sJJj0uiECXOZ/ENfiwWGJtOklk0DgrtQS9sbBFQKphNaWHi2/rDmnbrYWhfahOb6xyIz6\nVa9+a1jcXCqm8noj4n40v4tBLbjqQErOEw4a72E5xKf0yiiMAz2qdN62p3Idvbyf2n4SvaeFVkhK\nDtJLmZ6b6oVoYOT1Lvb2sN++fai4HL1uxrWEvT34WOZuW0NCIg0w584C2EeMPZzrk1La56cDhXhZ\nXcYPwqpm4ms0/7zi0CH/9c2Uda482wlyyhL+WgTR94Pq49J2pXai8DhigcZUQ6w3snE+f8Q87NiJ\nfdPps5uIu8C5B2TsGfm8MwVteb60Lr0oslLt3GPD2qYcDkYff3bqm7VZY7Ed++Ezlq6mth9yGFRK\nDzg25y90RNSK6HqsS1+/46l51qPZ8sWVupVNkuhtx1y8w/jOmLY36FKhVa9WW+lpiPYTLZ4ITG7j\ncNB3cfkwewCeYPD3PgiAOi2JnmlMLwngx4THMS09y5YQZdM0WGimn/ZP96gZYI20Bze3mXlBDVrX\n5roedR7r3Ixcy6hdohFoBYSnHy7URURkCdCuK7emx+mf7iiV1o6e5rGYL6XVONg+BBBKDfe51HP0\nmoqp71y/qfrZ2mfFnUdBR/gPGfhBlNkl0i8uZjykJ6HHCvvYwz48HLawlfq7L1MVertgZAvUGse8\n/5XVhG1t+GI8SbZFbl9N6flYVswiAjG6soAnIHvTrFK1d8ChPbFuebAO7jNr97Gy7wffN6LUlt6A\nfmY9+mPbB6bzcmFWAJ5gcOcuABXzIIxY47T9qGOHnwSP6Mg67HS2w7SVdjO6SdHqHHzOneh0cNGn\nXdEQ2VhSg8qVP9VwXzM9oAWD3u5Vu6idGORlS9BSnqJN8L4GWx6KkIytpKt3YROPCfoPJiRbVxKd\nJIzoyjprrd4OplZY7EkYOSlAIlZrmaV2lmjgORb27FC74B3WKVNEpUNMXqaoTPKKr1NtkwjmwloL\nwBVW2HW7cLEcMtPeiEjWULYeWfHafS1TO6XMHFwkWqgVxFbviLnc4b3mlxfzQ+mwIsAWluuobfUC\n6+1ebM31nhB1AOWl5A4AcXvzEp6+NMwKwBMM/akTkCxybG6MrlpsJwKeWWR6hDvKTysVB3XTFVYZ\n2b/JUsh5xi4dmdkVB2xh0ihLzi0uJHWKDCloyRLWZ68XzZ5nVuzESuCOcoJMt4tpO2BNH0tV4Afa\nrCrJnCHaZD3G3Y7TXOX8vctNcQuKXapXXnOBXsrkuRhtbPwqueY6cUXMAev3TqhBlJFjKr0y8uDQ\nKonU6nU/ycqDoIvmlVPf7uCRbH654p5g2de89+npJKlIJBrrPEjJnBCebqJWQcp3vfbeGd9ovKb9\nLMr11vvR/WVMzK6rkx6c416CorhokykperLnj9G4vu/Fm0+tTXNYmBWAJxjchd0R1t2SUGXwVEve\niMEZmab5PA+4frgS0KNjc99Qe9fUw67QJAQYIzO5C/kTOSreFYti2CVP6yJNt0BLMeJMlL5xqqVI\nEtmPKACOiHFAcfdfnMtQW8C6TacrAdKJyfO3mWX9vHxrpWQPin1orSLhoOVwLrvCW36HiGFDFa7f\niiTM0qTbrtTL0mPJlubX5N1syTsgOrKsrVQ1Spk0vjxWWME5h32/wqLXp1NEtIIPZbVbS/IIAe1l\nixc75yx7Bn/7tehr9MLMasqJ2q05M/69Re9B7G7dm+qxrFOnFNwfRP/St9YyS57DBHRXLxRvDgJ8\ngsHdc++6FPlvHP5LsLrCGjvQUHi9vhwDX5k0KbPKVlQ75MhsAhADYggQu8/xMiNU9epalVzXRUwk\ncWEHr6mo/oOMrlA+MbDWKPGcFRWW+oKRa7IgKUwkKHZjqkcnpw0e0egT4+KR/ubllUOZKbCUmPDw\nVsgij+VT04IyPaXua/IsyrhoTzGaZPlbip/O0VYdCR4djuM4ECN2+m0ssAAFiEb1XmyaSk4tD1Fb\n4Wotbyv/taDbiddtnbdIt7fzPpMfwI7PNEqxaNVl2kF4dY2C+lA/qz1K5aONhKIwDMdMr8X6OnVr\nefbhYfYAPMGw8cWvQnTqyAZXy1QcknuUAD65hKtYinlQtMzQITUA9EAHxNDDoRseU7y8WCqDyyBb\ngj1LpYyidDUfp0v76YdMyNoxJwnWAVfWSgZu9bRZnre5flViAzmBiyi7AuoHGxm1lIBx+2YCMVMx\nyJZsmQagnJEwVn5irGWbGR0pULxTkcLjHaOuIpMxaZcVAOaEcKp76JbQ/gzAJydXNX+uj2ymRlin\nMEV0WOAYjit7mnKlHlaD00YCqkyg6XgJTU9b+E9FJcjzs8Vf0/ZIyPEzxSvUpoGXepAnOAq1LW8c\nGtc57WOKS1Rp2nCreRXAjMsE/9jj5ccg/IP6jcREB0Fc1ga7IZI/sCfzeuzokqXdEWelcjqpVA+l\ndvDo87KmsseAHj6cxGFZXBfznD+l1JaWHjTpHHWnxyLJj4EP8As8b+kZcXBl2oEf4TvML+f0PuTU\nljYkmUu0a15hYEyRKUY0y9JQMCxWNF4KdyHrlNM2V+BLE513A71lg5k6sj9pctbSuSL+qcRChZpD\nMng6CWt2tlJ5NJZHeRaAzbqt6zFTWO5ZW14RnVxp0dD7ROhyyHXfVt3078ojNvpbl2cdOKTT2L+o\n5xcFoKSR/ZGrKqVcnZ8OurXor+11jqLs1PEm/CmXaeRbQKf+ypU/e9WFb1BPk1685051AU5VZi4/\n5imAJxjCDScbd0a0VeXelM+w9diDtZ0FaASSmR6FN00O9PaKgCEd6SdizGrhRH8peEibxbFspmU5\nASL9Y83bccaRMoi1b5kRy/KINPDT9SIuU5pHN87jwa2H8djGORSqgsonJEXChVJuy3o2quCq7xGO\nlRFDTIrbsN6YK1P04lpCx2ozgILghKN14IraEp7OZgrz1Uyb6W+lK9T36Xr+uLpxRsvm4HO8jmea\nFRt5Xz5J7WJt1MyVHIsKuYxwHNNSrVM42/sxTM29CD8vBPkE+3d4rlY0DCUfXDiP5b7uPpVRU2l5\nZiiV9WZKSbxjHqDPX9grh59dYcwKwBMMe9/7YkRfjuspnXVwmqPHQmq3vP8PS9UbXcOT5YskpGgu\nT8HS5Qf9gd13KtnAsIcNciL4sEunapKt5eoB6dM8vONjcBAahW3IIW+EgHHeQIFLqmaUrrhtKfix\nCP8zW4/h/MYeHtx6FI9159G20DJ78QHOBwAdnIvDoYdwGD8LSExxMuIDhnzgnCHLtTJyCSAOSXO8\nAOTRUQAdilzPORe2S/YZz5Z/dx7DyryW81X2CVSvzSK9zmXdL9+goSVM1/lpUqe1lksWgZiVugOJ\n7GkCORqf9bnalrYcZ2O0ytFYym29Wd6Gel6ftoxuPa9zs/xAJXhIRxvx2hUl1XBHHRBu1QN7V2cv\nwGtOAfibv/kbvPa1r8Vdd92Fu+66Cz/2Yz+Gf/3Xfx3u932PX/7lX8YrXvEK3HXXXXjNa16DD37w\ng1eR4msL8Zab8Pj/9lrsPecZ+VhWoJjmEb3bQHQdAjwCOunJj0zuqqg9rY+LoRG6YeTW7CxbQ9GD\npnA1XGbQPltsfmDYvpAC5LXTseJONXszhFlzjMphPjA1kroRQIhobdWdhLXNbHa7vcEC7OCxu2hp\n+RbD77OCFaRB0UFMcwxP5jSSBWMib9IOWwvUA7jnwMhmAkdp59/2N0zL4yCKjBYekpIiHEqd0/We\npe+HD6nXEUEGn4L1qWFagGxmXgtxxuZw1YnnYaaR6XTLeJHGSqHvT01f361VAp7iYIpFC7aSwdWI\n2viQFrn0ePA0vI1JDZXlFfq5N+ggCkDd7yIA7GwdII/Lh2tKAfinf/on/NRP/RR+6Id+CB//+Mfx\noQ99CMvlEj/6oz+KkN2Xv/mbv4k/+ZM/wbvf/W589KMfxZve9Cb83M/9HD760Y9eZeqvIZy6Hnuv\neXnSTX2UpndmNBEdeiwRmaksmQ3/1SNgVQZN73E+Ruy7ZM0liVTczSWH4hak8q2hYrLsQWfxcPBw\ngaRbpslZrORi3JiROS1p0FOdsvJCexUDeZkaeUHKAHaC0abvm/1ymFToEbC5WjZpqJkmZz1WCxXh\nM1g9TPDw90CLI9rTGrWl07ZquWAszJRYqmShgdFZalYEgV6JYov/KfZ0Kd9BMFYTkb1vx2iV+eqy\nxrfkjYgh91N4hOBSu4f6GRnoR0pXGD4JVlDfepHsBi3sYG7o8jyVt15U196CMdXOytFe6ncxo7gN\neyrK9gQa9IcI1yelLq7RLev8EqwewHuvA4D91Xjmh4RrSgHY2dnBO9/5Trz61a/GYrHADTfcgO//\n/u/HfffdhzNnziDGiD/4gz/AG97wBnzrt34rlsslXv7yl+N7vud78Lu/+7tXm/xrC67lwNpD2sM8\nwmEXHiF/L+a7E8OjR0CPFc4j4DxC3+Or2+dwZmMXDy72cQ77aZBElz7IbufBjdYeFGXpU0guXTK6\na6OiPBeSIFt/BrvRJAYlfDa2soCGQwroblqa5oZpD23FcXic2D+GUxeOY3t/iZvOncDxvmj5g+gL\nfO7ToQTSIYsy5ewNQFQ7M6cHikDedyusSGFzSMpMjICLiF7l14BdKxIuXMCSEO3UM3RX+4TAnuIi\nOKP3w3RLEUZ9UyTxdHz767LnPtRTwXi2rZym60UxaUfNh4q4yDwi9XNcbOo2IiWG3P38GV2fqfDN\nNmyBVEhuDjj15lrKRnGkU0qv2ttausi9Mfb45lNH7XoM2vpY9UaeJS0aiNFlfpS16KEv1B4Yi55U\nf+USsvD4uYug9dJxTa0CePazn41nP/vZABKT/8pXvoLf//3fx0tf+lLceOON+NKXvoSHHnoIL3jB\nC8RzL3jBC/B7v/d7V4PkaxrhSTehu/cBcW1DBC/pDhlSpL8rg6DP51R5dPDO45HlBbjgsBUTo9p1\nEccqTb6W4PUA0eto0+Y+5hBxAGLIO+hFlVFr6LUy0g5J+j6WT2mP9LRHed4NdFui4br9Y7hu3zAd\nSOOJSEIPGOb7A8qe8HpL4pqnlWj+GCPObzyWhHyMWMYNLMNWctKU4IqBsRM7ny5OdOoorjumsjTV\nvqHZ3FDnyG7rflFKLKdAWrlLy5XA+2JUqclvUKiva1pydSLllDPqgXzIBao4j0GZpHpx1NMR6V9S\nvGyVeto7pH46Pd6j1dalPF43qqvVousi420lbSp9tThue0ns5yL4u5EKnTOeIH5QFHZdi/SkxWt1\nXwSw1fIOHi6uqAdgtVrh0UcfbX4IH//4x/G85z0PL3/5y3Hq1Cn8yq/8CgDgoYceAgCcPCkj3W+4\n4Ybh3oyCvVe+FNJtSMKYC7MaLkbQzEGPANquNMQeHfJCwawkeD457oC6S3G7w54v1xTyT6Qb3sN5\nB+c8nPMTeERdDh/sRQxGdo3TxFuHu5c5Q+fUT7FI+BWtyBT46AdqrChyXt5AtQN63yO6pMR5F7Hf\n7aIIZrKe8pRKw5adxjrrZwDZgrV7n24skOwOVxQgyie6IR6E51OgA73atMkgQ14rr/6W+5LSouTx\nPeAOBMfpJ3pk6JhDJ9LY9HOaDgg+3ZyL0e+Jo1beai9XywvjxBW+uoR7CKx3V9ffHjN2z5T06TZS\nla9KFZwGhU/xWzErc3RR16f0E6f6aynDQrreA8DW1YkBuKIegI997GN4wxve0Lz/yU9+Epubm/iO\n7/gO3H333bjnnnvwzne+E6973evwnve8ZzRv14rSOsKIt57GY//7/4Lt/+O9zHZKaLVWdMVKcw5Y\nYol9XMhipMOJ/S0Ev4e+C+icw3X7G3UmzQ1giIb176rWl0OJhq+UmVYOY0oAv2bnwdnCGMXS7rFZ\nF4nEgYmtydDng5DSjAAl5svr5AlzKVVA9D1cjCnsIlrKmFPf2nXS/pEW+H27LanMAESfTn6MHoih\nMG+eiRt/JwlTYwXGKJfWmyZDC5PU67jCx1eq5NUb1OYuwDqDoKgAvJSajhq8vhMVAe2Mi5kugwZJ\nIf1NljAfY1pJpvoUo8KzfqNFdpk+slBb8utQPDklf44wpCo9ymo77sUAhl7guPLnIM5GUenrFS1l\nj4HS0jz/8tstXFoGuHPlTwW8ogrAS17yEnz2s5+dlNY5h6c+9al4+9vfjhe/+MX48Ic/jGc961kA\ngIcfflikPXPmDG688cbLTu8TAjfegP5bnozdz38FDyy2sBl6nF7t5u2ni2BKoE6bB04E4Bw2sJPv\np0j+G7AAepeWm+lRq461lYymdrrRXx5EN25Jc4+Cvn55MU19KDZDsQvoF5lcbmgCIdg8AL7NsaP5\nxsxYo0uyXa+KaKBzHTb7bex3u3DBYbnaVgKLaOM7mtuwXZpceOj069qfgiv7pJiQqe+CQYTlZViv\nNNob2oyrL5pt26XztNTXuG8mC0sXAUdKDQXWSiHFLcII/UbH2lDOfF9cbyeRpGkaU3M96j3vtajk\ngo4rqTXkO9J8YazltTfJs3tj4JROMz7Kc47ZGtbmVaVttI+kvOexeuWSVhHoL8My3IvANRUE+O53\nvxs/8RM/Ia7t7aWlU4vFAnfccQdOnz6Nf/mXfxFpPvGJT+BFL3rRFaPzmwlh9wIubAGf2TmJ/c7j\n0eUm7l1yTVMuZ3FAjrwHgqsZg/hWgvsLnLaaLBYryx2E/8iSdO7OJUPGkQs5xCnj7JDAgx2Z+5Bc\ngyFmIU/ig/7rABfgSBb6mFc25MfGvaFNbIQldvavw/bqOLpq44BaxMXGp4ZNRPv9EhSLcSvA5aC+\nwUr2cKT8uGJPlX/rsteJSrkqgGo1rmRWXdm4hiHP9tMOUT3L96uQcfqypDImopELp2ASeKjKIPta\nkz8W+Lw9p0VOC8QsBksdi8udh2KmtNbOgXSPX9dKHK/U5RZb3JMzVe0HKF6lqD9cTYnifp2/rL/b\nmzcCwkte8hL83d/9Hd7znvdgd3cXZ86cwTve8Q7cfPPNeOELXwjnHH74h38Yv/M7v4O7774be3t7\n+PM//3P84z/+I17/+tdfbfKvTXz6U9j9wr3wsTigL3QbrFfrgRbK2nPQsNdDoMyjhrRROovc51HW\nnI3rZxWYIewdqi19hznzsIBbLTFsyRsVI4n867iYOJBkBdBa85vCAHujnVgZIcINUp0vu5QCNAnG\n/LOLQDfVMhgfyjrCgd8ZQ6FRW7C8Z6yz3uTP6HvArwCvt/spwZRit7zgK8Vwuj8gC9boMJyylLHe\nZwFR6HodUwfD6tgRm+rxfLUFy69NgEcaTD6wQXVQTZnH8+vn6bqsRYTDPupFoPI5nj9YPqQMXaQW\nrMopQnlsjHj10SVb494qqXWf10erh0Dc2hyh7fDgYntx8FXBhz70Ifzqr/4qvvCFL2BnZwff9m3f\nhp/+6Z/GnXfeCQCIMeI3fuM38N73vhcPPfQQnv70p+Mtb3kLvu/7vm9t3g88cPawyb/m4P7oj7H4\nwgO4e/sUru93EZzH1mofT16dR3FFUmfUUdOS4ZSdv0nn9TX38j1jvVPc+kbRA/GcggCEJYAOsc9J\n/YWUJkYWH1D+FkecZiQtZqbBTaiLgS7Dse8eMpacnKJ8PpgHL2VrXsczORhzkxwdylxoqbf0AWB4\ns5pyDrvV1rWNtfc/MXhLFVFWU0Q+8tlj2LXKp90WWz4JSZcfTpMsre9FwS3REsW9cdd2QbGaI7sm\ne2BtF7ZQaqOj6Hm/bCnVoXnL2nmCf9N9oe4bchzxXSBcVolXKK3WDVRaSowVrCCDBnm0AR/RY9Z5\nwuWycSmgj/sp2p6p+o5c3qvH0oWX3IXwvS++TLRKnD59XfPeNacAHCaOogLgf/0/Y/vR8zjnFri/\nW2Ir9rhltZt39LUUALrOQ1gwpOOsK6WuA2+4ta+ZRxNknLmiH2vjHv1WuhaQXOt+D3BZuLi8S6CL\noHmJsmWPHRy0HmORyxcDPuRZjAConT1LoQVOPlExoD4C1/cWx8koCoANWwGwqG7n0HqSpiBaCkpR\nFeXxMSW8LgyyIfcKLhsqBa/YYFxIxajTAPVU1Ri45bxOoNTBejEv6yy5RRH4ZwuNqJ6xyuHrExRd\n5O3wNA4sYSXbTyo8ENdKq1oLJik33p87BAArpF6wMPIu9Sj5FFoll5FC06lndJtbAZMX4T1RkOWU\nupZDhcp1W0GRkz4ce0+5Ffuve/VF0zaGMQXgmtoHYMZlRoxYXEid9ljs8fTV+XTd0clrgGSNcvBE\nFMEwdfhYDGQSqOiYmaI3ynIruLhA2tDGZWHvh3EVg0sR5ka53O6t3YHrrPzJakxO7QUr1IK+tLd9\nbIrtrhw7CKBFn2Td9KtuG6dSSxycdVoepVYqbQ+l38P2Nx4Y9rSuNEItuKRlXdLIPi1pk4rHxSuL\nVtqkxMm+51jp3LrVFrFG7Sup31ZI0yWOp7SFfyl3Peo+oflEnYIOS+YphYIhXAotn4McRTyAsHgE\ntHfNEv5acNurMzRZNan0XK/u10/JMTO+b0QEEE8eb94/TMwKwBMcbmORD5qQHbBmOjSEsmUa0t+I\nmIOzmkNZYXypzyitnlsctKEMO13Mr/LWqhF06A+nnVuGbeccpR5fuCctkoM4yTRzqS2kKCx9u+Tq\nelNHoXMKCr2yXMlMtcLRtueskiRtpQQ7+mGwwC2yMdaLmDYIN8iHiJiOHWY51LnbOycIz4CjnLUj\nVlOla7zO+rfeXFApSHyxVuQuHRZVWws3mXdZscOVHLYUcQJ0Da0WAXjv4pteJR6iex7RUWbTi/Iq\n3rkDU1icSiMp0aXU753XxBDwye2TnosB6cARSW2PBRyAFTps4byZO1FTv2ftURobQTWMHaOvCK6p\nIMAZlxnOYf+Wi1geScFqzgHww6qAxGaGzXsxrgQAF6MIkPAvg14xPr8P51e18K/K5nc0HVqEtQZr\naAzkcdj2AK120HP8HPKIWQGX+HrkMUoOKHsuyFYoDF0vy7S/cZqjWI0hVQbrefpt2d8JHVoejFR2\nRAkXKzEAIl7dIZ1rMaAEQ/AyrU2CXF5qkf4C0va1+kZjKYp4Zp2VXq7VyhG7EgEeZT92XoNuXy5+\nB3hg2IPAT7PyLVHKr9mhr5SyuPDNsmL93iOg94Cy07Cc4/BtrD4lR5FqGDQOVpBf6n1LFF/nRqX8\nFC+OpWA4I61S/CMSX210ne7eB0fqdXiYFYAnOr7727E6dWKw9Kzd2QZhYXXOUf4xzYXIU+uPDb57\nHVFYiKstE5l/dScCMcR8hoAWIppG+d+losXkSr3YoT7RpW371ylODiWqyqF6t3whEv0lxS2q6/pd\n8G0JADc0kWXz8LbUbRUhy0rgwsC2alOu7aBG3XenvaGYFYPAfvN6l3lm2YciSutyTFdw+bup78Uq\n97G5+pJG5l6NJQfo/Ths2gC59LAWB/WVYoGXvibF9fDRawAtGvQqUcj6pSWGpT+HQYi3M3bqLyJR\nGc3HIoB9LLHCAvvYZvnTU3Kho8sxHWVBJzJlXHNWo2vYICqXGUrZABD7sUDew8OsADzBEW6/BXuv\n/Z+x+4rvxoXcYZ2h068/KM5yt7YW+YTG90uHoyyFlWohlj9lgflFkdNWVvRVe24xsY0gWq9ubmad\nhGnDklvjtWLHDnkyrBbtvxFKlcuK0HAiYqHwYLC8ROQNaG9HLHPgtXSJmXMeO5kOGLSsh6lQAmiz\nztZyMqfeP3PZG2Vafe5yeol1XgHAHoCVcC8VoRuGuBZLaeOKM8EDXccG7Agt2StfcrXOg9Dq0kHe\npWN8oIYHsMR5LJAWL3Z4DFzRsZXAYuFzT4z0Fii/jctXHCkLrB23jB1VrwBmBeCJDucQb7wBq2//\nVjy2w2+MsROunkbA6wNetIOWH0trDfbacl9D9Oi1SiBVRbLI3wgMp+xM2C5aL8wrsRI0wOk/7VJc\nv8a4ZuqO0e9LMdzh0TIMIj3t2UM2uJVbrvBjeVXamL9F3uY8asQS7Lx2vE3aqlNST+w09hLO9D4d\nbycTPFZF1KxJz3pYjnI7Vd2u0sqWlnbpcemZvsq9h0c/PEuKxHTWzd8MF9RaAdwDsKueDWaZ2tMU\nofsRQhZyLqxXugUxMnCUjzKp8up+44e/Vfu3kjJ02EeHC9jEeSywN9SrNWVASjWf1qsVtiieIH7q\nQKyo1Kd79PGaqCuAOQjwCGHpFkgLcxIDFwPWsXV4AIAA+KLXOjjQKXWS+9K+ax0TC3wQS0bJbbFx\nkcUHe0WtycZlCi9vOHrKYa1FslZVOZgQsURlxcQDcxqSm5AnZq+FEQraA2A9zSmzptVPX3yy93LP\n3wAAIABJREFUxlzMUR5e1qC8Vf20q64WaC2mG6gp7cAtomLzieAvfr6ugTjUkLt6FBMWaeXVsRZM\naWlpJhcvUrFS4X1r802JevAVOFIhSIJ5KR4oipaYLgrD5fx8WelD1HFK+dvqAGxDv2nZc+ldWXEW\ntC/D8MaUPhv1qlYN3ucH5a9OUnMBPp5HCnARaW//kmsJ5rMGF4xrvDVrmuq+VFSn6CMQ2HB2fMQ4\nuN295Aq5wmfazArAEcLGcgvx8cdgCTAHP3TS1DuJ/ZRhzIcOMSxf3ZEuMMpdD64SCS/TSSZenpaS\nUNHv9cBl620zv46CK09fqVDHS6xzQ1rLkFrIQs+7FCDEzgxQhdZch65Helc27copO0lNILI1e+Tk\nyDLK9ynKkc1AiTrLG5AVSof8Ih1qQcxzXK/k6XpMSVM2tmot6yJ6dES4VZbeIMmhHHfMlSFf1tDn\nfix0WcIwbRTzGR6j1WKlBpBHIgmDdZKaoklqNEeGMWRFmhgq7/y4gm+tzFlHt/W+uKHCg1+kAlIE\nPHEnzuWkodKCA0QYQJV2ubziwh+YFYAjhW7Jz5wuA4a6nYNDrIQpwPVZN3zTpijlAUgBq5WHFpsv\nJejcpOAPKfKdn7pWga+/hsEslSXX5BvWUOXb31q1WGf3pTJlqjisdyd5HmvDo5GbVjh4zgHclT5J\n+FfUl4Vr6btl/XHtSltJlqiUzLpmuRKi77iQlTk/7PlQ512s3VK6N9IQhS1IpVNbn7JP87upftzL\nYJc1trdDyWuR04XInojZ6nYAPzjCVWvqpeAkymUAZ2ApIopiQmOkbjuej8OC1bFHrPpAXachz0BR\npnyQcnoKSs2icU3nT9Du+6jqb6u3tZJa3mTlmTKoWMcZNI/rTxybPQAzDhfu3IU11mv1hBhwZVjz\njYSIEfTDL76sCez5MdRrnsuTTnxz08lvQgY6pV0Fbaosmtpop6nrodPGgZzK0621p0jpomoHYqzk\nl6nnJi0Kx5uSesCatgj5upe73tlx5LWKx0vTgpUrE6ULJMvVUhfr0EL9W7qxZY1a77qOoSgUM3pp\n0yJn3bUx5mFJ93sAXaVMDNqiI9eA1HS1oC/519eKgsiDSWlMU907kT79XZhKTeqmTLhX+nK+5/mI\nCHA55kC0wrAsOVYKf63qrGcMtvCXXkH7vfE4AzqCu+ZXdpm8RMfKYsrQVfAAzEGARwj+wgX2a6yz\njYmM2oKl+PbCeOu1hBYbqoWLZwNEU+KqK+vWasfhMwYrX4tW/t1mNHZYnZWbFbWv8nPsw3IUf80z\nAIS4rMSUVUtdO5vmNXBIDCxY1vA4jVF9l6vHLBFf8o6TAjCtWrees1qjtB6f5S938+/g81JOD/RF\nNpOImKIM1DSkcj24F8bl8y94QFl6LLKTJ8OapRKSpinU1f1NqeUKLBB0SEBv196yKv1NQbbV0tII\n8HWDxHXGT04kTBGu9qJHyfGoDpaiWedQ2liukahCMS/o8Msrg9kDcIQQlhvw+3VHs4WzvsM03cAt\n8QC4/5+9N4+xLrnqBH8R973Mb3UtdnnBlG0Wu1CbkYHBqOVhQOOWUZvNY6yWEdjIRpYGkAAhxCIj\nC8tiByEWIQw2CCRokGAAaYRmZNoetRlEUzZmaZbGrDZQrnJVuaq+Lb/M927E/BH33LPEiXvvyy+/\nrDKV51N+7717YzkRceJscSKCtX5iPazlMgOudz1TydGpUWrWno3ESsO0kPEYmxHg0dqALHWzsObq\n8uvYAxYOPsNpt8+yjmL1VfmGpePQJZFbClSNl9eDDf/DlF1rnonlk4RywI7JNxWUaNVLwmc74N9h\nPI9StK/lu9hlX6fuF9rJIU8J1LXIOAM9nizUh15LOpk05vKgJhfwD8bR/V6rvaPKOBxqE0Kv6iin\naEqFmlQVLeanzv1vge6X1ZBv933rceAAuWqlxEgG9BVsU8xQXTieStq+WpiBlgPlHJlSh5mf0HzQ\n6opeYvLbyS2ictqzISEP3p0nA84UgKcRbO58BlbXHzZPW8JTM9fRMs9AuUtgAP/QfqdcPZ0k+JNj\nSqOfsPiSyRed0uOAwxQXlO/c+CLLRKaYimQCTt/kwQ+K7AQ0DiiLGooMabGUVoDWHCPaBQrzDRTq\nPRTunyVBEf8WP935ARTpzipEEWAJeZLdygtxKKfnWdFCkA93mVIV/TgXP60GXs6VkgtgxS4J3SKa\nIDhfqQ0xI2A7UzPVSTM2VM+AmkqliieXDtr93g0ptqO6Qc89oMUoVkBs5H7LWzHMZ5rW4zxs8QDd\nb6Ea3TlPAeWyqjr1XzS0VmPrl5gFaqEEXKs+zngyYgDOlgCeRrD++GMLUxamtct5eHpahcZzbaWw\nG3xXK07+AdWCuay0KjqppB6Q1T8eyzoZH7AcgvhfFTM6M+SWrk43EdZCbwk8Tucz+XlYki7ILyEP\nLumwA0fxa9GtYncxVcbnL0jG3sKYlC0duCY/ZQnLWa/TyAGtnIUilBNyK0g1AaPU16fgiAJpPVxi\nyi3J1ZswvvMVcPuN82ort3hH5HXehQ+sXBW+9KU47jmjOAYTTC/7c9Y9R0C1S2eRrdwdUuO7RNHr\n2/JtShGltPKPsxa+FMh4SrQ8MvTZwRFwcPrLAGcegKcRxI1nPbTtQo6YLb9CoWBppDXAOr+a0viY\nYJm/Mg0MHE/Hbbv+65Ty21SWkpIUq4Hx0dY/mVG6k4kpzTRDHjoSTOJdVZUlngJpddNlUVJM19sn\nZbnauqo9TfawHGvVtfwtFvPWdw/MnvoG0Bh6+XklJI0NbgXiBVJUCeeM1kF1olXs+rY9qS14Xzn0\njxlG9V4LrigTNMCx+qlZCSgHiUn/H+2S8Nfca7y077A1z8pz6z0JVRovV9HcRNoUzY4orfrUXiO7\ns8cBMipGHsot6TZb6K0/pwNnCsDTCWLkbTcj1Oxei1fr7hoIWCjy9WSkKUvrdHOi8VYcUXXZ5Tz9\ndtH+eqCXYcq6pLTaoplKzZYLMZEiBGrG38nEFcwL51QpAR4eU2VqZqZdohmhMEh6oGREh2yElK5D\nqgntFtB7+karxxI/n5nXb+Wverw9m3YKPPXDyRvq2qKiERI4WSgL3jj4cfz6V4YWws7ygbHFbSnB\nfGcxV8rKoStnhdnp4Q0iyTfH2WWSVQphgfocBfk5NVqsBFgUW/EC2UdOYVhHoUzPFwencaiFASXw\n7FMGzp/zkLitcLYE8DSCXo221KeLu8+yZN9eGEzSMYia3Hpkqtoccrp65DZPgnN2iy2Ojv6vi16i\nYcvlhTmhQIJut2mkGJFa8+ugvN5NTqc9OdaBwHUwA1zizJiyvvibYGAU4m66NajdHD24L3sUJ752\nL3sR+WSLUjna9W+2capydAs8PUoubAV47N2HklbfjSCFS91/QaTl/gsIQ5NJ+OszERj4JHq6htez\nmi2OtTpfW8FTrfWEP8G4dD3eX7vkLAO/ljzeJcI1TtFpj3IqYusGEiqjrqnVXkEv7pkSWuVoUcmU\nss045GEXQxBVm4lTGWe3H84UgKcR5DsuDt+IIfuSpmJkdskdQLkRS17aYXO1WIxk3nPkl0bWyvXI\nSdnY4jVyEonD7Zhcu1qPGCxZu44toWaoARjQpzsX/LzWCpGfSzGc89VwIlm67xLnNU45ThzdLYvj\nd7JMi4lud6iwrZcKLNitWNOpW29bPi9rY057jzIycszD1j0JY7g7ajpp07FUTGjMbe481G1hSt8c\n1a5A37dlC2rYAqlfILi8XT7tsbK9W7iVXkbwLhqcV3IdRkZ0avnFSN9x/Mvjp+RKO4jQGEogpxPI\nGADAXaK9vXC2BPA0gnjIBKaZQu1mVMIf0HuNGzKXyppz6Y2nf3jIjGCZypwnoZXfc6AuF9htsGx1\niY0t85GNK4upy6F+t9aHdk4SFsv6xyvHsx0pbfUmtF7MKRpdlaZm4k6/uEDLL+2Usjd916zdX9C2\n8fTIBNCsqRcy0mgrBpNWY5TGogJZg/IWyEi7BXzhXytNy6Bg4wtsyxMKckXcxmFZKucE8meHofpy\nDlFCDhGboZwVLCUTdZKC25u3bEnXI8BppeocYE8OnQKpVJGCabxQUQbf1F4TP7AyGdrQbzmv9XDN\n77M4DTjzADyd4GjTfDUd6z/ndpTuzam8w8SjqOfMj1ollySsb09hye+zenI6U2x+2aBgE4VFI9P2\nDTckmo32W1csbu0qbvcAWzG+8If3JgDj6XPIO3ER3+fkgacIJFVG+zCfuj7+navP7GIkqS2LlFnV\nramSRD67i20MTfaey6CVII1RaefqLYtTru48kWbujU4znDmQgnYpmBKspymBRLac3HNLBaEaAQ9n\nUgAigNCHwfuw9EwCr/cIR1II6GyIFp1Kr4xWyLJ5226P9MAmbtc//svCdpwcnHkAnkYQhOneZvcW\novjMQxRr24CvS3EiuLPHtPmmQc0yrbt4d4unfJIb8rhLAVJItqa2NI1beFAJThmJ6mBLPgND0HBf\ntgbGXpTDFqs+vjUaDKS5bq3cGg8rQNyxFnLPOwd/KWg8Pbe/BS7f7uMnXK3o1vhYxYtKqPtm6lcb\n/D38VHexWB0XfCTHckAOsbjWA4ayOhRVbZnXyT7V48mUqGnRpmeRVqZrj5urG0AAVts1urwu+A48\nhYLbO1FGCUWV2HTUDUAeaDmI5woD24cRHfjiopCo6gi+ijzCo9m6Jwi8pRc6sYBytOa6VrXmqWPo\nS+GZtGc0xIcfO8bxSrcGZwrA0wEObgI3D5HWAd0GsMJskuUOob/jOmXkgzvY3pk+qmUoCP4UScNJ\ncnoySB06A9gi4gCXsI9D7MF4Moa5OJYeOa/GwB4LXB8iM98GWakFqSDs2B8pqHMAyK2KOGxPCwAC\nC3+Z215O4rOjpj0/i+Mccwv9cChMTCCXMYOO0/B7JZnR5pQ6PeHDnoAhu4CMEKWiy/i0aVTW6fVT\ncN7PAQUa1kpNTYdUY0sBYnu6YEDfPEVres+NdjyTyk0HI2nlSea4vvcEEAp1bfaOcPHmnWA+kpCH\ntaoOJUQ1uWUJ70ZAUQIqRMka91oQ2fEky3GgHilve+CUqgvzzPIUrRrKT78kiaw3NwP659/j1H97\n4UwB+DcC6//7/Vj9xYcBADeffRl7N44Qe6BfdYhXryNs/PWrWVCz2AppesrCZ9oCGkjf3U/UrvgI\nAT3OoUPAlfBMnMMBLuUn2tmzPIGEA8uWez2G+onTjJaYFCKtK2HHDFVNtscUCzEnFuaQB8u/zUrY\nbrUly/VOnZOVtl2hoeT1ANl6OUUg9sgBeKI7DwC4o78JHRznCS2+XMp6f2w6TzCPCtKQjazRhIwe\nadjfMqWoUrmabrPzrYD0ctSWav3bWtgZrbVw0ByKXr2SHvytch6Exndb5pQ/ISEhDhsZEzJSyDpC\nIWtbmQULjSMpeQHIA526FXoKE42zg5q6D4Pz+mYN86ZdVLlpBUHDdApLX3wzYQYQHrtyjHl5a3Cm\nAHwywyCg4p/8Ffb/5K/pIS786ydGkiXnYT3b9PqVTFEToSTcGaG5BAKKEmCYWOuM7ow1clwDAM6n\n67i6fiYubZ5AE3JAzoVhuUcBK2goLEkIoJwducXidykrsd4HT+zV5fvKlC/i/RFkq5HT1CmnvAat\n0mhHA7H+AKQOHzt/GdtYxMON7hyef/S4wdzrc7v0o12szNjpf2vBDd+jLKEw2ISElWJ1tv7dvSLz\n+aaE95KyvfEg9zQtY8jR323pZSlG1NddXiOFLeiins6I5eKO3yKYnrb0FsabN0n41f4Gz/czKpmK\nlRWBL9VfVmYaSoNS4fVdCbZHa3r0Yf6ckynbn54k4NqNyTJuB5wpAJ+EEB96BOHP/hrd3/wjsF6j\nu3Gg3td2E+mYLatlCQuUAq/kGFlVDiWQaUznMXjN2NgG1iew+ZHAciraW7Uakzx0xRJ0YhY0OAI2\nDyWPTeW28za+GjddZjS/JfBd8SPLShiWV3iNcIlY8vtpoSI2pg5iROrx9YSlz6RLGMNhXGGdS7cd\nxZUjmoaSKSYltFkv/+Yac5VGDLAg84CAHj3Kqf9yRfp27rem1molwR4JpL/TOj9ZsFIt8zxNMvad\n7kvIKGvhHaaofYm6WiuFGec2l7DpDpBDxt723NimtvpKyxbD1ctJ9EkkvGvBGcZ+sMBr81k84/HU\nPIHGoaaqNsZhVLhlHICe+23wlABDo+L/Ou6iR3/+9KPyzxSATza4eg3hv/0p9v/y7wdiOjAJ2K6c\nBq2TTp+OZ8FxaVZcvkXKyeAmFRN+RnZmRsAaG+TUIaHDjfAMPHvzEY297xkucsEoAHW/zGvvNqdk\nQBo8xiUFJouDMCpKg0UXCwNv1bzURmX73OJLFpF2g7PDlFJRbqks2hETAkgqfhnoQsI6Z6B0O/bS\ntkQBSIcK0YtE0HNSLW1zRFEmBlLiNnYoN7dvkUHhYyRwd+9VRtZ7LkFOhgAOcJX5KCcJf+pzectj\nNIo7CSippLXOEPBb4WPNyjiV68Xk7/XnVeq65bU4oXgH3vvO/agpkdomMR0Cj2eD+1pvtDJGCm59\nvwLPgnpxrFVjy2O2jIitYhcAhO70xfGZAvBJBuHGTaxH4d9MNVg80qqzDGw5scp8LQ123Ns/U2Qw\n7MNTP8r/LJCQM/ZxAwgRF/L1GnspPGY8uyTc2qvgw6Eg4wUt04JCN7kd/6D9H0OeDBFcSe99RYy8\nLMsCLi3oDqL6W2XNW8miP0bGzkLuOUeP4xPdJYSUcPf2hkk31CBvZKQ/NaAti9niSl4Ezs+LKwkd\nOnSux2ap8PfSSstyzjIs6QnFsbQMyG2fkoaCEoS1DSvXjk8GqBy9Pj7W7KATBlzzOO71GEk3vD3K\nmV3vUrmxwIqaNWn0Lz3v2JtVlAodo+TVk6G9KvJ5DbxbiY4nIr9ke14yt/OWIEp74uW7TmxEl8KZ\nAvDJBo8+YaaatxrMa7NSzLbd8vLJlFsvqO+WAcl7gjyQbstWysotmITSICzFZj0B6lra4MqOBdvN\norQULUucZtD+s+FXRrFWB+ZfbgfLwy6AVp9QtUHc++6zm1x901us5GUpVu2qGH8D/Pc8pns547mb\nK0NhEcgBOdEJaGFsyygAQzTdxP1q68pKQE7hOG8zLgG/lJZgsP1vPSdQpnPIGd6O2LZwtwLUT8E9\nV2M9rc7y2/HoowQUpbhXhTClU208J/RdFN4E7FFTb9nO57fIp2WGmq9l9YtgqvX03CoTNn3Z8UIh\nTMWUaCkndplD+2DsslC4eXTqCsDZQUCfZBCvXx+/FzZJ2mgBJitLSkHlspArghxrVGnG7yRlE4Ac\n1Yl1Gj86MthTNqj8pKa5xj1olN0ZkgmRkpzO87BWp8rB7U3oscUWW2ywxRHycH4996Nm5tzXtl0S\nSdrOZJjIYPrTtilityFwpHqVR+QbUqNmIC3QWwdroTB4FZJuQd2mOTBMjggiD88iH7IyWkIhDn+Y\n4UTZ/NmIghZNt8paBjUtT5VhKZxowFafy3bJmJAjEFIJU2TrtHyn3RyB6Hr8tEDeBbqOVwa22RbM\nCX+NPVFYpjsfxLug8sk/UjIB2yf8nZY8ZJ18/biH9zx4FrhlGnNjXzwaZNO31WxS5qgdtcrPNcml\noCl8O4S//LsZ/E4edlIAcs545zvfiZ/4iZ9Qz7/lW74F73znO08UsTPwIQ03RvniLDvvAL0XW5Bn\nBpCt9TU9TTLyIGcH0onBbvUWX6VV4LMCTkOfpjAj6NjyKJu8tFtP6/pcXnknJ6oUthtsx3oS+kGw\n83EzGr9SZh7f1kx+VhzFIdwoBI4vVG3093fLx637AHyQfVyP7rglSzVlyjVrWX7DxR4xCDstfspl\nOISLZpcWaiWHzwFgXKYt8t2sKl9VqsuxuPtKQaUERKPgiSUUSUt6V76tnZ53gxiRgqjlfZrrBVlH\nwHhfRcyotcPa6rVlpeGfDvCVLdAenlr98OhbKtV1j3C5NHvbloNVW0illqVxmaRcLbn4yPIqjz5I\nvcKAZyk3PvjIgvJPFnZSAH7u534OP/uzP4tnPvOZ6vnnfu7n4l3vehd+/ud//kSRO4Ma8r3PE8Tv\nCTz6Lf/p9TcAQFoB/T3A9h6gv7vBHyK7AMnAHvbhFAcAC+t5y4L2IrRX4rRrvQjZsm84Ank4yW+k\nWN7dzXkchgsSqEzqxHziUAeV0rvbq2iqersT2q3VLZe9b6dcwy2Z5qfmUvHvidGqlACw28R332pm\nWferrzTI9rXZ/Rz2StSSHFD6DI2b9DQs7yFSI7QYXAbz+HtKYn0SX7lKWf7zDwxiRcqHMF7AJJVp\nm9q+RyNd6/XcvC9v7ebOkrM2ANoU6ol5rQhMIAlNE157/VyzQDc5LiijYBAUx+KsidW5wyOo9ctT\ngJ0UgN/6rd/CD//wD+ONb3yjev7mN78ZP/RDP4Tf/M3fPFHkzsCB8+cGAkpCnE5Bw8rKl8pnSMWV\nlS6YfLFw2ihO5soROYdZGtU6r12SaJOcTD9WMXgY8miSZyEBpsGK1hbaa6xBbtcV1rAH6VI0xRyL\nspNfsmkdEMXpSRXJeThIB11JEJPIfSvghyeRpTS2talwaGtoHtz1F2PdlnQcke2VXkn48t2GX4xa\nId/SJnu+FZpVj2VWIzRNN1pZCE57Zc4wtqdVHgv/JZhymS1ozY3gpLGW8bSaLt+wF4yAhay8Xpw8\nNrp/5WzvxZsWvoSzpBraUSQVvjlK9d/73h1K7/GbAH0IkSwnjz/s7KGASZp5Vfjz9nRvBNwpCPDB\nBx/ES1/6UvfdS1/6Ujz44IMngtQZTEBOWBIENbsV0M7toLfnqdPVgKLxJrKE8+DK9IUG8WUOOPOE\nf+2aIwahLGZl+gF04liIQAhcU20r9WKyjY0QTJY+yzastTiZTabQ/gvdo+R65fTOKWOZLIXACows\nZ9CtwpAUCQiRgxSPG+mtI5+pPu2qH7FILQEsU/uscx672gKcgtJ37e2UYyJ66kZ5apXTG70lCg0f\nM1NNFvFMTRKnBPvbC2Kci+jn+mQMuQ9LRorKq8d4jt70+R0AtadWfnW/kcDWaWxdjDvnpm18WqnT\nfgQ5+5fYtHz2iK5RKhAS14aXDh2aFxFlOQqtMTGw1wGr043L38kD8MIXvhDvf//73Xe/+7u/i0/9\n1E89EaTOYAKeuAZgOQNr2P9AvFKe5gCEIyDcnC0viPusrV3VxidOWEgTddEnzR3RiCL4PXYu6+lG\ngao7gPPmHIA0WNyph5zMfPd3HEL9pBbvWfsyr/gifyTJCJd4MW7F/qfgMLY2NL5j+B/HccwMUU1L\nnoCzbZMu2Oy8r4WQB7zdL2iFMNh0LczbQNasFDF+3tEN1axpHmhvulySAqZW1emYJi38pWVq977S\nXytw0CoTXGoLgxp60VO1az1UdZDnwPOlyTX24gWzKlwL2ssklEDSnExZxoB5kx/OK2vi2xlrP4Wi\nmgwgaU8ptTo5sUTjiD3v2eB7108HdlI33vzmN+Ntb3sb/uiP/gif/dmfjYsXL+LKlSv44z/+Y/zB\nH/wB3vGOd9wuPM9ggHDt2skUFBMQH3GZqO+irAmT7W/O2Q+ModgInbbmVWktW8O6ji1CQ+mq4tbm\nsMFFKQWGiCEYf2cA6ICUhvfeOr0Ppei5O7ysJ6TkHPNmEVwUSSwTE2xZGbL3TU+Ol6zYA1Gt0pSV\n7AixHUbabheBp8xYCrFHsMx7sjgtaX/Df0tuhJH5RhadDUb0ru5j36q1726VYUtMyrhrISPGl5Zp\nQkYOdisdKRaM7XStbXWjziuVNwnyEiq9STiLJ9qa13hXW4nH53EoNY/lUavoic4T1FuuQJriPq34\nT7k8ve3W22Vl+owKVPHVWnH0Rictnw4nBjspAF/1VV+Fruvw7ne/G+95z3sAADFG3HffffjRH/1R\nfPmXf/ltQfIMGPLdd5ZPWCbkMIwlIOfK7tgMW7kHog5y9ZDcgh6JyaNnJ4t3rL0B4ch3p+3Kgsc6\n7YoEGQrRMlOb37oHSbCYg3WyrIQ+bVQ4wMKHLbxcJaJ8pCzwISlcH0eDeyK/YnXG9Z9T0AqSt+45\nlrM7LB8nr26hRIlBr465Ji46pJEKqLebhBPXipburTqmITRpRAqiub7yBEk274Meq8zzjXNKL9iy\nJUJJu4xJEdI8t2KzFf5dmqTI2BbSE++oX++2RmtXk2JkBWgdyzDSvlL45dva8+EZKbo0mc/LIcoc\nb0ydG3u58wlAf7rr/8AxDgJ6zWteg9e85jU4PDzElStXcNddd2F1yusWT2u4egAZltbWJ5cy3Hkm\n5bnjAgIwBARKrxXZ9ktExFwa4m95vAFEuJVTAAJfQ1rACO7QFxd/12NUyWGSY3icxGJ8ykOMQxCI\nckwE95hkuv3Y9vFktIEXj33UHBDbPqpUMhy7BUky+gB1okyQKonE0wqXuWUZa1FqYcUhd62RrEWD\nb2m1gX1FNLY2ChAISKADFfMQvCp1xXnQlmOVLaNcLhXDUBvAgsz2px1DOO9bAnquH4fZTopl8MqR\n/bOb8kFn2wFAVx0g1dpsmUD7jGS9tYEigfvJ2tW2HXlyJwO3QvoU1OmQFfhleOLezklvh5COK5K4\nE97tMbC0vfr4o9hahnqbYbeF2QGuXbuGv/zLv8SHPvQhHB0dAQD6fs4NegYnAd1HHxjZlL+2XjPd\nKZiLbtcCRLzLGL2w8ntERIcOK6wmLKSFMBh7MQQEYe1QfSFHhEQKB03UHnTwUMgdxhPMPFzisI5J\ngXrSS6cMiyS+11B6R65finU9Cuwf+Vhrcnvr6VLMtVzsQ73CYNIeGEKckPej9Ou6pXCrBZ12wXpt\nIoUrqpxZ/CHHosh5S7SiXF1+ezvX2FeBbFCpJETxq1Zm6m/6dYxATrolPDdsLmu9Et634uMVdQcI\njZL+jlO+FawUXkfKDe/j9/iAjuSnXUlWiGJQD9L418JTboBk8OcFQ3RGz3rovO9zQDhSlJ3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3vdbEFf/dVfjQ996EO3hMyFCxfwIz/yI/jKr/xKrFYr3HXXXXjta1+Lhx56CI899hhyzrjjjjvw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\nEQNAEARBEFqQ/w8pVsMUsjZuHAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n", - " gaia_coords.ra, gaia_coords.dec)" + " gaia_coords.ra, gaia_coords.dec, near_ra0=True)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RA correction: 0.1809856744952043 arcsec\n", + "Dec correction: -0.11979971748701246 arcsec\n" + ] + } + ], "source": [ "delta_ra, delta_dec = astrometric_correction(\n", " SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]),\n", @@ -662,7 +940,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": { "collapsed": true }, @@ -674,7 +952,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 30, "metadata": { "collapsed": true }, @@ -686,11 +964,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 31, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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R8/DmhDm9o3ccNDFy/tNdkUFZ6hOUCyywkPQ6UcbFhtPm1VjDcbhl1ZJ60yV6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ZIJQ4enL9WIDeHL0riISckZkikrNfsROT4mg2O/z+m/wB36YEGH6sz46ubmow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iTguQOkrjnqBgnvufA9gwREHT/S01FTUzORuNbdCaM3uGiXCeTp87OChmSibmBKZg2o2JLE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\nrhh7YhoAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n", " gaia_coords.ra, gaia_coords.dec, near_ra0=True)" @@ -705,7 +1004,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": { "collapsed": true }, @@ -718,11 +1017,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 33, "metadata": { "collapsed": true }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "350801 sources flagged.\n" + ] + } + ], "source": [ "GAIA_FLAG_NAME = \"des_flag_gaia\"\n", "\n", @@ -746,7 +1053,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 34, "metadata": { "collapsed": true }, diff --git a/dmu1/dmu1_ml_SGP/2.1_Omegacam_merge.ipynb b/dmu1/dmu1_ml_SGP/2.1_Omegacam_merge.ipynb index 6f63c770..414c43a0 100644 --- a/dmu1/dmu1_ml_SGP/2.1_Omegacam_merge.ipynb +++ b/dmu1/dmu1_ml_SGP/2.1_Omegacam_merge.ipynb @@ -143,7 +143,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -386,7 +386,7 @@ "data": { "text/html": [ "<Table length=4>\n", - "\n", + "
\n", "\n", "\n", "\n", @@ -415,14 +415,14 @@ " datatables: 'https://cdn.datatables.net/1.10.12/js/jquery.dataTables.min'\n", "}});\n", "require([\"datatables\"], function(){\n", - " console.log(\"$('#table4730037528-913079').dataTable()\");\n", + " console.log(\"$('#table4719006608-815591').dataTable()\");\n", " \n", "jQuery.extend( jQuery.fn.dataTableExt.oSort, {\n", " \"optionalnum-asc\": astropy_sort_num,\n", " \"optionalnum-desc\": function (a,b) { return -astropy_sort_num(a, b); }\n", "});\n", "\n", - " $('#table4730037528-913079').dataTable({\n", + " $('#table4719006608-815591').dataTable({\n", " order: [],\n", " pageLength: 50,\n", " lengthMenu: [[10, 25, 50, 100, 500, 1000, -1], [10, 25, 50, 100, 500, 1000, 'All']],\n", @@ -456,6 +456,20 @@ "omegacam_origin.write(\"{}/hatlas-sgp_omegacam_fluxes_origins{}.fits\".format(OUT_DIR, SUFFIX), overwrite=True)" ] }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "for col in master_catalogue.colnames:\n", + " if '_atlas_ul' in col:\n", + " master_catalogue[col].name = col.replace('_atlas_ul', '_omegacam_ul')\n", + "master_catalogue['flag_merged'].name = 'omegacam_flag_merged'" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -465,7 +479,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": { "collapsed": true }, @@ -486,14 +500,14 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Missing columns: {'kids_flag_cleaned', 'atlas_flag_cleaned', 'kids_id', 'kids_stellarity', 'atlas_stellarity', 'omegacam_intid', 'kids_flag_gaia', 'atlas_flag_gaia', 'atlas_id'}\n" + "Missing columns: {'kids_flag_cleaned', 'kids_stellarity', 'kids_id', 'atlas_stellarity', 'omegacam_flag_merged', 'kids_flag_gaia', 'atlas_flag_gaia', 'omegacam_intid', 'atlas_id', 'atlas_flag_cleaned'}\n" ] } ], @@ -504,7 +518,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": { "collapsed": true }, diff --git a/dmu1/dmu1_ml_SGP/2.2_Merging.ipynb b/dmu1/dmu1_ml_SGP/2.2_Merging.ipynb index cf2c7ef9..18c6b713 100644 --- a/dmu1/dmu1_ml_SGP/2.2_Merging.ipynb +++ b/dmu1/dmu1_ml_SGP/2.2_Merging.ipynb @@ -11,9 +11,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "This notebook was run with herschelhelp_internal version: \n", + "33f5ec7 (Wed Dec 6 16:56:17 2017 +0000) [with local modifications]\n" + ] + } + ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))" @@ -21,9 +30,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/rs548/anaconda/envs/herschelhelp_internal/lib/python3.6/site-packages/seaborn/apionly.py:6: UserWarning: As seaborn no longer sets a default style on import, the seaborn.apionly module is deprecated. It will be removed in a future version.\n", + " warnings.warn(msg, UserWarning)\n" + ] + } + ], "source": [ "%matplotlib inline\n", "#%config InlineBackend.figure_format = 'svg'\n", @@ -36,7 +54,7 @@ "\n", "from astropy import units as u\n", "from astropy.coordinates import SkyCoord\n", - "from astropy.table import Column, Table\n", + "from astropy.table import Column, Table, join\n", "import numpy as np\n", "from pymoc import MOC\n", "\n", @@ -46,14 +64,14 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "TMP_DIR = os.environ.get('TMP_DIR', \"./data_tmp\")\n", - "OUT_DIR = os.environ.get('OUT_DIR', \"./data/tiles\")\n", + "OUT_DIR = os.environ.get('OUT_DIR', \"./data\")\n", "SUFFIX = os.environ.get('SUFFIX', time.strftime(\"_%Y%m%d\"))\n", "\n", "try:\n", @@ -71,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -85,6 +103,7 @@ "# \"kids_flag_gaia\"]\n", "omegacam = Table.read(\"{}/omegacam_merged_hatlas-sgp.fits\".format(TMP_DIR))[\n", " \"omegacam_intid\", \"omegacam_ra\", \"omegacam_dec\",\n", + " \"omegacam_flag_merged\",\n", " \"atlas_id\",\n", " \"atlas_stellarity\",\n", " \"atlas_flag_cleaned\",\n", @@ -124,7 +143,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "collapsed": true }, @@ -144,11 +163,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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A88MtaC61x0oKgxXN6wAAxAPBagVeEEhSyypW9FgBABAPBKsVVGsVqxb1WM2WPFX94JKf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\nBnfzZU+bh3KdHsa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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "nb_merge_dist_plot(\n", " SkyCoord(master_catalogue['ra'], master_catalogue['dec']),\n", @@ -158,7 +186,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": { "collapsed": true }, @@ -177,11 +205,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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AAE4gNZZGzrlVklaN2HbviNc/lPRD70pDrF7cVSfnpPlTxi5YSdLKhaV6cVeddhxq09ll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\nMPW8p5fp6LDwVNf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W6WtXztEDa/fqofX79cSWQzp/RoFuOrdc1y0qZQ3HEbgqcISe/gH9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\njxCsAAAAPEKwAgAA8AjBCgAAwCP/P1KSOTNQ5sgBAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "nb_merge_dist_plot(\n", " SkyCoord(master_catalogue['ra'], master_catalogue['dec']),\n", @@ -191,7 +228,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "collapsed": true }, @@ -210,11 +247,17 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "HELP Warning: There weren't any cross matches. The two surveys probably don't overlap.\n" + ] + } + ], "source": [ "nb_merge_dist_plot(\n", " SkyCoord(master_catalogue['ra'], master_catalogue['dec']),\n", @@ -224,7 +267,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": { "collapsed": true }, @@ -245,7 +288,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": { "collapsed": true }, @@ -264,11 +307,75 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<Table length=10>\n", + "
idxBandATLASuse ATLASATLAS apuse ATLAS apKIDSuse KIDSKIDS apuse KIDS ap
0u196331963317846178461784617846
1g77715677715625671256712567125671
\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
idxomegacam_intidradecomegacam_flag_mergedatlas_idatlas_stellarityatlas_flag_cleanedatlas_flag_gaiakids_idkids_stellaritykids_flag_cleanedkids_flag_gaiaflag_mergedps1_idps1_flag_gaiaviking_idviking_stellarityviking_flag_cleanedviking_flag_gaiades_iddes_flag_gaiades_stellaritydes_flag_cleaned
degdeg
07301907816230.880043846156-31.0395890892False7301907816230.99998093True3N/AnanFalse0False-10-1nanFalse0-10nanFalse
17301907802960.618201838997-30.9126968136False7301907802960.99998093False3N/AnanFalse0False-10-1nanFalse0-10nanFalse
27301907721420.475775231118-31.0122233674False7301907721420.99998093False3N/AnanFalse0False-10-1nanFalse0-10nanFalse
37301922022360.822923139057-31.0628909485False7301922022360.99999899True3N/AnanFalse0False-10-1nanFalse0-10nanFalse
47301907802690.51037628168-31.018091971False7301907802690.99998093False3N/AnanFalse0False-10-1nanFalse0-10nanFalse
57301907711100.120315245752-31.0164213536False7301907711100.99998093False3N/AnanFalse0False-10-1nanFalse0-10nanFalse
67301907809470.710655732339-30.9123584254False7301907809470.99998093False3N/AnanFalse0False-10-1nanFalse0-10nanFalse
77301907809390.661312571431-30.9347311675False7301907809390.99998093False3N/AnanFalse0False-10-1nanFalse0-10nanFalse
87301907809280.772737229466-30.9811582751False7301907809280.99998093False3N/AnanFalse0False-10-1nanFalse0-10nanFalse
97301907816680.823917554907-30.8655259971False7301907816680.99998093False3N/AnanFalse0False-10-1nanFalse0-10nanFalse
\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "master_catalogue[:10].show_in_notebook()" ] @@ -284,7 +391,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": { "collapsed": true }, @@ -310,7 +417,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": { "collapsed": true }, @@ -335,11 +442,17 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "atlas_stellarity, kids_stellarity, viking_stellarity, des_stellarity\n" + ] + } + ], "source": [ "stellarity_columns = [column for column in master_catalogue.colnames\n", " if 'stellarity' in column]\n", @@ -349,7 +462,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": { "collapsed": true }, @@ -385,7 +498,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": { "collapsed": true }, @@ -405,7 +518,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": { "collapsed": true }, @@ -419,11 +532,17 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "OK!\n" + ] + } + ], "source": [ "# Check that the HELP Ids are unique\n", "if len(master_catalogue) != len(np.unique(master_catalogue['help_id'])):\n", @@ -453,7 +572,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": { "collapsed": true }, @@ -468,7 +587,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": { "collapsed": true }, @@ -492,7 +611,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": { "collapsed": true }, @@ -537,11 +656,17 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['omegacam_intid', 'atlas_id', 'kids_id', 'ps1_id', 'viking_id', 'des_id', 'help_id']\n" + ] + } + ], "source": [ "id_names = []\n", "for col in master_catalogue.colnames:\n", @@ -555,7 +680,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": { "collapsed": true }, @@ -564,7 +689,8 @@ "master_catalogue[id_names].write(\n", " \"{}/master_list_cross_ident_hatlas-sgp{}.fits\".format(OUT_DIR, SUFFIX), overwrite=True)\n", "id_names.remove('help_id')\n", - "#master_catalogue.remove_columns(id_names)" + "\n", + "master_catalogue.remove_columns(['atlas_id', 'kids_id'])" ] }, { @@ -578,7 +704,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": { "collapsed": true }, @@ -599,7 +725,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": { "collapsed": true }, @@ -620,11 +746,17 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Missing columns: {'des_id', 'viking_id', 'omegacam_intid', 'stellarity_origin', 'omegacam_flag_merged', 'ps1_id'}\n" + ] + } + ], "source": [ "# We check for columns in the master catalogue that we will not save to disk.\n", "print(\"Missing columns: {}\".format(set(master_catalogue.colnames) - set(columns)))" @@ -632,7 +764,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": { "collapsed": true }, @@ -651,11 +783,17 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2\n" + ] + } + ], "source": [ "split_length = 100000 #number of sources to include in every sub catalogue\n", "num_files = int(np.ceil(len(master_catalogue)/split_length))\n", @@ -664,10 +802,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 31, + "metadata": {}, "outputs": [], "source": [ "surveys = [\n", @@ -675,14 +811,14 @@ " #['kids', \"KIDS.fits\" , Table.read(\"{}/KIDS.fits\".format(TMP_DIR) ), \"kids_id\"], \n", " ['omegacam', \"omegacam_merged_hatlas-sgp.fits\" , Table.read(\"{}/omegacam_merged_hatlas-sgp.fits\".format(TMP_DIR) ), \"omegacam_intid\"], \n", " ['ps1', \"PS1.fits\" , Table.read(\"{}/PS1.fits\".format(TMP_DIR) ), \"ps1_id\"],\n", - " ['viking', \"VIKING.fits\" , Table.read(\"{}/VIKING.fits\".format(TMP_DIR)), \"viking_id\"],\n", + " ['viking', \"VISTA-VIKING.fits\" , Table.read(\"{}/VISTA-VIKING.fits\".format(TMP_DIR)), \"viking_id\"],\n", " ['des', \"DES.fits\" , Table.read(\"{}/DES.fits\".format(TMP_DIR)), \"des_id\"]\n", "]" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": { "collapsed": true }, @@ -694,10 +830,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 33, + "metadata": {}, "outputs": [], "source": [ "n=0\n", @@ -716,6 +850,28 @@ " #print('Finished join')\n", " #sub_catalogue.remove_columns(id_names)\n", " \n", + " #We merge all the flag_merge columns\n", + " sub_catalogue['flag_merged'].name = 'flag_merged_tmp'\n", + " flag_merged_columns = [column for column in sub_catalogue.colnames\n", + " if 'flag_merged' in column]\n", + " \n", + " flag_merged_column = np.zeros(len(sub_catalogue), dtype=bool)\n", + " for column in flag_merged_columns:\n", + " flag_merged_column |= sub_catalogue[column]\n", + " \n", + " sub_catalogue.add_column(Column(data=flag_merged_column, name=\"flag_merged\"))\n", + " sub_catalogue.remove_columns(flag_merged_columns)\n", + " sub_catalogue['flag_merged'].name = 'flag_merged_tmp'\n", + " flag_merged_columns = [column for column in sub_catalogue.colnames\n", + " if 'flag_merged' in column]\n", + " \n", + " flag_merged_column = np.zeros(len(sub_catalogue), dtype=bool)\n", + " for column in flag_merged_columns:\n", + " flag_merged_column |= sub_catalogue[column]\n", + " \n", + " sub_catalogue.add_column(Column(data=flag_merged_column, name=\"flag_merged\"))\n", + " sub_catalogue.remove_columns(flag_merged_columns)\n", + " \n", " \n", " for col in sub_catalogue.colnames:\n", " if (col.startswith(\"m_\") or col.startswith(\"merr_\") or col.startswith(\"f_\") or col.startswith(\"ferr_\")):\n", @@ -739,35 +895,35 @@ " # Check to use catalogue flags from HSC and PanSTARRS.\n", " nb_optical_flux = (\n", " #Omegacam \n", - " 1 * ~np.isnan(master_catalogue['f_omegacam_ul']) +\n", - " 1 * ~np.isnan(master_catalogue['f_omegacam_u']) +\n", - " 1 * ~np.isnan(master_catalogue['f_omegacam_g']) +\n", - " 1 * ~np.isnan(master_catalogue['f_omegacam_r']) +\n", - " 1 * ~np.isnan(master_catalogue['f_omegacam_i']) +\n", - " 1 * ~np.isnan(master_catalogue['f_omegacam_z']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_omegacam_ul']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_omegacam_u']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_omegacam_g']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_omegacam_r']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_omegacam_i']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_omegacam_z']) +\n", " # PanSTARRS\n", - " 1 * ~np.isnan(master_catalogue['f_gpc1_g']) +\n", - " 1 * ~np.isnan(master_catalogue['f_gpc1_r']) +\n", - " 1 * ~np.isnan(master_catalogue['f_gpc1_i']) +\n", - " 1 * ~np.isnan(master_catalogue['f_gpc1_z']) +\n", - " 1 * ~np.isnan(master_catalogue['f_gpc1_y']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_gpc1_g']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_gpc1_r']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_gpc1_i']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_gpc1_z']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_gpc1_y']) +\n", " #DES\n", - " 1 * ~np.isnan(master_catalogue['f_decam_g']) +\n", - " 1 * ~np.isnan(master_catalogue['f_decam_r']) + \n", - " 1 * ~np.isnan(master_catalogue['f_decam_i']) +\n", - " 1 * ~np.isnan(master_catalogue['f_decam_z']) +\n", - " 1 * ~np.isnan(master_catalogue['f_decam_y']) \n", + " 1 * ~np.isnan(sub_catalogue['f_decam_g']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_decam_r']) + \n", + " 1 * ~np.isnan(sub_catalogue['f_decam_i']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_decam_z']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_decam_y']) \n", " )\n", "\n", " nb_nir_flux = (\n", - " 1 * ~np.isnan(master_catalogue['f_vista_z']) +\n", - " 1 * ~np.isnan(master_catalogue['f_vista_y']) +\n", - " 1 * ~np.isnan(master_catalogue['f_vista_j']) +\n", - " 1 * ~np.isnan(master_catalogue['f_vista_h']) +\n", - " 1 * ~np.isnan(master_catalogue['f_vista_k'])\n", + " 1 * ~np.isnan(sub_catalogue['f_vista_z']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_vista_y']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_vista_j']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_vista_h']) +\n", + " 1 * ~np.isnan(sub_catalogue['f_vista_k'])\n", " )\n", "\n", - " nb_mir_flux = np.zeros(len(master_catalogue), dtype=bool)\n", + " nb_mir_flux = np.zeros(len(sub_catalogue), dtype=bool)\n", "\n", "\n", " has_optical_flux = nb_optical_flux >= 2\n", @@ -783,17 +939,249 @@ " \n", " sub_catalogue.remove_columns(id_names)\n", " \n", - " sub_catalogue.write(\"{}/sub_catalogue_sgp{}_{}.fits\".format(OUT_DIR, SUFFIX, n), overwrite=True)\n", + " sub_catalogue.write(\"{}/tiles/sub_catalogue_sgp{}_{}.fits\".format(OUT_DIR, SUFFIX, n), overwrite=True)\n", " n += 1" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['ra',\n", + " 'dec',\n", + " 'flag_cleaned',\n", + " 'flag_gaia',\n", + " 'stellarity',\n", + " 'stellarity_origin',\n", + " 'ebv',\n", + " 'help_id',\n", + " 'field',\n", + " 'flag_optnir_obs',\n", + " 'hp_idx',\n", + " 'omegacam_ra',\n", + " 'omegacam_dec',\n", + " 'atlas_stellarity',\n", + " 'm_ap_omegacam_ul',\n", + " 'merr_ap_omegacam_ul',\n", + " 'm_omegacam_ul',\n", + " 'merr_omegacam_ul',\n", + " 'm_ap_omegacam_z',\n", + " 'merr_ap_omegacam_z',\n", + " 'm_omegacam_z',\n", + " 'merr_omegacam_z',\n", + " 'f_ap_omegacam_ul',\n", + " 'ferr_ap_omegacam_ul',\n", + " 'f_omegacam_ul',\n", + " 'ferr_omegacam_ul',\n", + " 'flag_omegacam_ul',\n", + " 'f_ap_omegacam_z',\n", + " 'ferr_ap_omegacam_z',\n", + " 'f_omegacam_z',\n", + " 'ferr_omegacam_z',\n", + " 'flag_omegacam_z',\n", + " 'atlas_flag_cleaned',\n", + " 'atlas_flag_gaia',\n", + " 'kids_stellarity',\n", + " 'kids_flag_cleaned',\n", + " 'kids_flag_gaia',\n", + " 'f_omegacam_u',\n", + " 'ferr_omegacam_u',\n", + " 'm_omegacam_u',\n", + " 'merr_omegacam_u',\n", + " 'flag_omegacam_u',\n", + " 'f_ap_omegacam_u',\n", + " 'ferr_ap_omegacam_u',\n", + " 'm_ap_omegacam_u',\n", + " 'merr_ap_omegacam_u',\n", + " 'f_omegacam_g',\n", + " 'ferr_omegacam_g',\n", + " 'm_omegacam_g',\n", + " 'merr_omegacam_g',\n", + " 'flag_omegacam_g',\n", + " 'f_ap_omegacam_g',\n", + " 'ferr_ap_omegacam_g',\n", + " 'm_ap_omegacam_g',\n", + " 'merr_ap_omegacam_g',\n", + " 'f_omegacam_r',\n", + " 'ferr_omegacam_r',\n", + " 'm_omegacam_r',\n", + " 'merr_omegacam_r',\n", + " 'flag_omegacam_r',\n", + " 'f_ap_omegacam_r',\n", + " 'ferr_ap_omegacam_r',\n", + " 'm_ap_omegacam_r',\n", + " 'merr_ap_omegacam_r',\n", + " 'f_omegacam_i',\n", + " 'ferr_omegacam_i',\n", + " 'm_omegacam_i',\n", + " 'merr_omegacam_i',\n", + " 'flag_omegacam_i',\n", + " 'f_ap_omegacam_i',\n", + " 'ferr_ap_omegacam_i',\n", + " 'm_ap_omegacam_i',\n", + " 'merr_ap_omegacam_i',\n", + " 'ps1_ra',\n", + " 'ps1_dec',\n", + " 'm_ap_gpc1_g',\n", + " 'merr_ap_gpc1_g',\n", + " 'm_gpc1_g',\n", + " 'merr_gpc1_g',\n", + " 'm_ap_gpc1_r',\n", + " 'merr_ap_gpc1_r',\n", + " 'm_gpc1_r',\n", + " 'merr_gpc1_r',\n", + " 'm_ap_gpc1_i',\n", + " 'merr_ap_gpc1_i',\n", + " 'm_gpc1_i',\n", + " 'merr_gpc1_i',\n", + " 'm_ap_gpc1_z',\n", + " 'merr_ap_gpc1_z',\n", + " 'm_gpc1_z',\n", + " 'merr_gpc1_z',\n", + " 'm_ap_gpc1_y',\n", + " 'merr_ap_gpc1_y',\n", + " 'm_gpc1_y',\n", + " 'merr_gpc1_y',\n", + " 'f_ap_gpc1_g',\n", + " 'ferr_ap_gpc1_g',\n", + " 'f_gpc1_g',\n", + " 'ferr_gpc1_g',\n", + " 'flag_gpc1_g',\n", + " 'f_ap_gpc1_r',\n", + " 'ferr_ap_gpc1_r',\n", + " 'f_gpc1_r',\n", + " 'ferr_gpc1_r',\n", + " 'flag_gpc1_r',\n", + " 'f_ap_gpc1_i',\n", + " 'ferr_ap_gpc1_i',\n", + " 'f_gpc1_i',\n", + " 'ferr_gpc1_i',\n", + " 'flag_gpc1_i',\n", + " 'f_ap_gpc1_z',\n", + " 'ferr_ap_gpc1_z',\n", + " 'f_gpc1_z',\n", + " 'ferr_gpc1_z',\n", + " 'flag_gpc1_z',\n", + " 'f_ap_gpc1_y',\n", + " 'ferr_ap_gpc1_y',\n", + " 'f_gpc1_y',\n", + " 'ferr_gpc1_y',\n", + " 'flag_gpc1_y',\n", + " 'ps1_flag_cleaned',\n", + " 'ps1_flag_gaia',\n", + " 'viking_ra',\n", + " 'viking_dec',\n", + " 'viking_stellarity',\n", + " 'm_vista_z',\n", + " 'merr_vista_z',\n", + " 'm_ap_vista_z',\n", + " 'merr_ap_vista_z',\n", + " 'm_vista_y',\n", + " 'merr_vista_y',\n", + " 'm_ap_vista_y',\n", + " 'merr_ap_vista_y',\n", + " 'm_vista_j',\n", + " 'merr_vista_j',\n", + " 'm_ap_vista_j',\n", + " 'merr_ap_vista_j',\n", + " 'm_vista_h',\n", + " 'merr_vista_h',\n", + " 'm_ap_vista_h',\n", + " 'merr_ap_vista_h',\n", + " 'm_vista_k',\n", + " 'merr_vista_k',\n", + " 'm_ap_vista_k',\n", + " 'merr_ap_vista_k',\n", + " 'f_vista_z',\n", + " 'ferr_vista_z',\n", + " 'flag_vista_z',\n", + " 'f_ap_vista_z',\n", + " 'ferr_ap_vista_z',\n", + " 'f_vista_y',\n", + " 'ferr_vista_y',\n", + " 'flag_vista_y',\n", + " 'f_ap_vista_y',\n", + " 'ferr_ap_vista_y',\n", + " 'f_vista_j',\n", + " 'ferr_vista_j',\n", + " 'flag_vista_j',\n", + " 'f_ap_vista_j',\n", + " 'ferr_ap_vista_j',\n", + " 'f_vista_h',\n", + " 'ferr_vista_h',\n", + " 'flag_vista_h',\n", + " 'f_ap_vista_h',\n", + " 'ferr_ap_vista_h',\n", + " 'f_vista_k',\n", + " 'ferr_vista_k',\n", + " 'flag_vista_k',\n", + " 'f_ap_vista_k',\n", + " 'ferr_ap_vista_k',\n", + " 'viking_flag_cleaned',\n", + " 'viking_flag_gaia',\n", + " 'des_ra',\n", + " 'des_dec',\n", + " 'des_stellarity',\n", + " 'm_decam_g',\n", + " 'merr_decam_g',\n", + " 'm_ap_decam_g',\n", + " 'merr_ap_decam_g',\n", + " 'm_decam_r',\n", + " 'merr_decam_r',\n", + " 'm_ap_decam_r',\n", + " 'merr_ap_decam_r',\n", + " 'm_decam_i',\n", + " 'merr_decam_i',\n", + " 'm_ap_decam_i',\n", + " 'merr_ap_decam_i',\n", + " 'm_decam_z',\n", + " 'merr_decam_z',\n", + " 'm_ap_decam_z',\n", + " 'merr_ap_decam_z',\n", + " 'm_decam_y',\n", + " 'merr_decam_y',\n", + " 'm_ap_decam_y',\n", + " 'merr_ap_decam_y',\n", + " 'f_decam_g',\n", + " 'ferr_decam_g',\n", + " 'flag_decam_g',\n", + " 'f_ap_decam_g',\n", + " 'ferr_ap_decam_g',\n", + " 'f_decam_r',\n", + " 'ferr_decam_r',\n", + " 'flag_decam_r',\n", + " 'f_ap_decam_r',\n", + " 'ferr_ap_decam_r',\n", + " 'f_decam_i',\n", + " 'ferr_decam_i',\n", + " 'flag_decam_i',\n", + " 'f_ap_decam_i',\n", + " 'ferr_ap_decam_i',\n", + " 'f_decam_z',\n", + " 'ferr_decam_z',\n", + " 'flag_decam_z',\n", + " 'f_ap_decam_z',\n", + " 'ferr_ap_decam_z',\n", + " 'f_decam_y',\n", + " 'ferr_decam_y',\n", + " 'flag_decam_y',\n", + " 'f_ap_decam_y',\n", + " 'ferr_ap_decam_y',\n", + " 'des_flag_cleaned',\n", + " 'des_flag_gaia',\n", + " 'flag_merged',\n", + " 'flag_optnir_det']" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "sub_catalogue.colnames" ]