diff options
Diffstat (limited to 'python')
| -rw-r--r-- | python/notebooks/.ipynb_checkpoints/Beta & Compression-checkpoint.ipynb | 195 | ||||
| -rw-r--r-- | python/notebooks/.ipynb_checkpoints/Realized Vol-checkpoint.ipynb | 139 |
2 files changed, 0 insertions, 334 deletions
diff --git a/python/notebooks/.ipynb_checkpoints/Beta & Compression-checkpoint.ipynb b/python/notebooks/.ipynb_checkpoints/Beta & Compression-checkpoint.ipynb deleted file mode 100644 index 637237f8..00000000 --- a/python/notebooks/.ipynb_checkpoints/Beta & Compression-checkpoint.ipynb +++ /dev/null @@ -1,195 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 32, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "\n", - "import os\n", - "import sys\n", - "sys.path.append(os.path.join(os.environ['CODE_DIR'], 'python', 'exploration'))\n", - "sys.path.append(os.path.join(os.environ['CODE_DIR'], 'python'))\n", - "import beta_trade\n", - "import matplotlib.pyplot as plt\n", - "from scipy.stats.mstats import zscore" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [], - "source": [ - "betas = beta_trade.calc_betas()" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "text/plain": [ - "4.4041236834552988" - ] - }, - "execution_count": 34, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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Yu9/eEfEejy+LiuL5g6GsS/rhV/lGc7tROeVBRSjkj/koFM18ZNnRHH07vQ5vyUarKbAs\n7VQtxlq6B3HbG5+nrEx+3ixfCCJvSu1JveedL5J+3Ote2II73vw85nbRNAWXI/I08fdbtpiPBnxB\nTPrta7jzrZ3pHool3NyK18ip79DxWQFhTSGfalSxNUqkpmDep8A7mqNhtZZSPGhrHxXIQiFVi7F3\nP2/FnW/twPce+ljJqLeTvBEKYcIXpXYy1ZbmTZSuAT+e+Ggv7ngz+kofiK4pdA/6cfHCOtV7bocD\nb//iSwCyRyh0yxf07SaEZCah1hQMzEc6EWNA2NGcV0LBYJXvcJgP4zQyQWlJiVCQ/7Nz7HFKZuZU\n3XesBey6PR3402v2WzPyRijomo80J3XEkMKEjxMKUWWV08epey090R1iHf1+TKwpUe+LSvvr9QYi\nBJYvGMKEmlIcMbw0a4QCfwNb7debTvjoo5iagsbVzIoX5lPhQqNVvqXkNZ08BT1SESCi7bzmdkkP\nUtWClfXwuPubs/CbU6fYfrz8Ewrca1r1r6LIg0Q5867VOPL65QDUk+C25u6on+sd9GNoqbrDFKUU\nHf0+UAqUG8THe1yOrPEp8EJyT1tfGkdiDb6JjpFQUBzNmlPBtL280hSMHM0WQlLNmo+6U2BO0Y6Y\nXQ+pWowxM/fJU4djSLG5XhSJkD9CQcenoJX0yUiG2X6gm8t/CAuFLc3RS1EM+kMRlTdDFPh4dzsA\nYIZcCEyLx+nIGk1hgPs9/FkUucH7dIyjj/QTmliESj5pCkZ5ClaS18xqCh19xqHaSUPjU2CO5pQJ\nBX8QhKgXJ3aSN0KBEc18lMwb929v7lBNgltjCoVgREjsoD+IZZv3o7TApVSHZJw8dTgAKVM2W4QC\nrymkSvVOBvy9aBh9JP/XznlscsuntqkhA00hntpHsTSFthQIBW1IqifFjubBQAgFLkfKKiHnjVAg\nOjZfbfRRoir+wa6w3+D2Nz9XzEcjyguxoyW6DX3QH0SR26mKKvrFM5vw6paDmDe+KiLOfd54qfyw\nx+WAN0smHN7+m01Cgb8sjH0K+iGp7JrKR01B13xk8rSHDCKYtBzuTYFQ0ISkuh2p1xRSWSYlf4SC\n/F9PU7j1a9Nx5MjyhG/cFzY0q54PyF2mxleX4FD3YFTVeTAQQqHbEZGsc/HCOlx35pEAgAvnSPUC\n3/7Fl/D948YDkH0KWaIp8EI4m8xH/GLBaJJiFiatCZJ9Np98Ckb+ACvJa2bzFFIRoqnF4SBwO0nq\nNAV/SAmDTQX5IxR07mV2Uk+cMgx1Q4sR1HoJLaItAHbHmztQ6HZg5tgK9PuCeG/HYYNPSqvoQpdT\ndSONrijCDWcfpVSbvPW8o9F465mYUFOqUmW9gfgiMJo6+nHvu19g477OuD5vFf4msqopNHX04/2d\nxr+fnfATvaGjWQlJ1RcKeaUpGJmP4qh9FMt81OsN2J4MGVElFan15XkDQRQa1Nyyg7wRCgy9Mhce\npwNOB0n4xi3TOIp3tPTiwe/NwbmzRgMAnvhIv3wypRSDAcmnwOep3faNGTGPWZDAxfncumbc+tqn\n+Orf348ZMpsMeEHgtzjmJf/3Lr71wEfJHpIp+Ik+VpkL/go63OtFc6fUVCbRBUc2wZRArdZrpQfC\nra9JZdBimY/e+awV46991dYJWtt5DUithu4NpFZTSHnto/TBbL6RyWselwMuCyn4RmhP3ImTa7Co\nvhoAMHd8lWH5a18wBEqBQndYUygvdGHehKExj5nIxTnIaRipiPfmx2lVANt5A3oDQexr70f9sDLd\n93mlxjgkNfL6mv3HN5XH2WQuSxTFfKRNXiPmkte8gaBS6ytW7SPG5qZOzDbR5jMetJ3XAKmWVar8\nYoN+oSnYgq75iBMKDgdJuMCVXzPR1ZSF8w4qitwRzXGUz8nH9TjDPgWzkQaJ5Cnwq/VU2Lz5myiT\nciuuf3EbTrptFQ73enXfV5mPDO6YWO04+1JUtyYTMHI0m619tHFv2JxpVF32Jk1/hQ++aLM6TNNo\nHc1AbmsKeSMUeDbs7cDqHYfhDYRAiFT1MBmagjbscAiXDFdZ7DHUFNjk7HISRXiZjT5LxLbJT8yp\naFjCr5ZTUd3SLGv3SLkgRuXJVY7mmD4F6bnWzt2WgiiZTMHIH2C29tGHu6Tz8cB3Z2NOXaXuNt9d\nUKcq/RIrDygRlBHzPoUURv15AyEUuIX5KOnw0Uc/emIDmjsHUOR2wuOU4n+dDkfCPgWtpuHhyiMM\nKy/A4V6friroD7FGLA5ldWU2IjmRFQv/uVT4QdnxCMmskFQWYmh0/k1FH2kK4mnDndv6vKCUpizW\nPJ2w30uvn0Igim9l2/4u7D7chxc3NmPW2AqcJOfiGFHGBXZ8erAngRHHgJW54H0KKXQ0D/qDqDCo\naGAH+SMUuIxTdtEO+IPKhSVpComdZK1JxMnZGqaMKEcwRLGzpRfTRg9RbcebjxxxmI8Ccr2lWA1J\nIsabYvORLxiC20ngIEQRhJkAm+iNzIdq81F0nwL7GflsdkA6x90DgZSUKUg30aKPvFE0xDPvXK08\n/vs3j4l5HF4o7G3vR683EFEVIBEOdA2geyCg+308rtT5FISmYBP85cnf5D2Dkq3XSq13I7TmI94c\nOnVUOQDgrLukC3/GmAq8eOVCrNh2EFvlukguJ1EmHbPTO0tq8QVDKHRYc0bxQiwlPoVACG5Z8GWS\n+Yj1OjC6yVXRRzFqHzFNQa965+E+b14IhRClICRyYSPVPjK3j9OmjYi5TWmB+rf87GAPjh2nb26K\nh0W3vo0QBX516mQAQElB+P5KlabQPejHzpZeTNcsJO0k73wKlOo3x0iKT0H+/AlHSH2keU1hXFWx\nattN+zrhC4bww8fW4+6VUn8BacKU3jftU5AdUDcu+8RyvDZ/Uaei740/GILH5YDbSZKyylrb2G6q\nV0UsmDNzbWO7bs6GmegjbTtOXaHQo+/IzjWCIaorPK0kr8UKRQUi84KSXXmXTQe93gDcTqLKKk6V\no/mGl7YBQMpyiYA8Egp86Wy9ZC+nk6DPF8TDaxrjPgYzA42tKgKgtqk6HERp+r6oXgo11Qont5Nw\nN5N58xEAPPnxXrRanHRUmkIKpIJkPnLA7XREtS1Hg1KKrgE/Nu3rxNfv/QB3vLkj4eQldp5ueVXK\n2dASCvHmI/19aNtxPvJBY8Q2qajTkwm88ckh3UWNldpHZijTCAWv356w6kPdgyjRmKXcTvurE+9p\n68NLm/YDAH55ymRbj8WTR+aj8ErOSFMAgN+/vA3f0zS04dm0rxNup0MxB/Ew8xE7lna18/yVCzHo\nD2Jrcxfe39mmNGBhuJ3holdmNQX+EFadmCn3KQQoV3Y4vuNRCnzvoY9VK6cBfxDFnvgv5Vj9k4Mm\nzEd8SOqKbQfxyAd7IrZpMwh5zTUGA0EMK4vsTeKIoo2H4rj+tMmiduWCbG7qQonm+kqFpvCv9xsR\nDFGs+tWJGDu0OPYHkkTeaQp+OVEs4n2TK/Nz/v4+zrjzPd33mEmEJbu4NH15jxxZjlljKxU1VKux\nxBN9pDYBWbspeBOO1c/+6/3dOO+eNZZuDL/saE7EfBSiNEKVZn6heNGeJy38WI3NGtLrm5s68eqW\nA5HvEqBhTwe2NnepCifmEv5gCHe8+Tn2tQ/glKMiI4c8URK+4ul3rDUfxat9xmJnS2+EA7vY41RV\nQU4mrT1eLH2kAdv2d6G2siilAgHII6HA0EaFMC6aNxYAMEHT/cwsh7oH8dz6ZgwpcuP4SZJPQVvu\nmsEiCbQ3gstJLPsUEgkr5QttWdEU/MEQblz2Cdbt6bDULCfsU4jffKRn5uo2SAo0i14PbB7eP2Ck\njbHz9tfXP9c141UUufHSxv04667VmP+nt+IfbAbzyf5upfXs3rb+iPe1iZb9vgB2HJJCSeOp31VW\nqHY025k1rk2WK/a40Oe1Ryhsae7E658cwtrGjpRmMjPyTih8fkjfGTW6oghLpgxT7P5WWfV5K5o7\nB/CX84/GqUeNwLYbT8XRtQZCQZ6IteYjj9PBRR+ZkwpqoWDtphjwB5UVkBWfAp/526hz8xvhk6OP\nXE5HQuYjLdc+vwXr93bEtT8AGF5eEPX9AV8QJR4nrjvDuBUi74Be80UbRg0pxOYbTlFeS8S8lS3w\ngv78Y2sj3tdG7Nz77i6cfPsqvLxpPwb91hcJLHafLb6SHSLKtMILZo+JKDlT4nGi32dPljofGp2K\n8jNa8kYosHt21eethttUFLvR2R/fqpOtUmbIgkDrmOKJZj5yWPQpODnTh1W/wIAviGI5zM6KPOHN\nH0alO/RgjmZPguYjxpEjJb/O+r0deGj1bnQP+tHSbd00ozVDaOnzBTBrbCWWnjDRcBvt+drfNYhy\neSU7f0KVEhCQy7DJ7PHL5uH06SMj3tfa4Xe2SFrCHW98rtwLlyyqwytXH2fqeCUFLrz7q8V48vL5\ncBDjPJN4KS90YdbYCvzhq9Mi3isucKHfF4zLFxIL3oJgJgor2eT+laqhuXMAdQY2uspij2Gpg1iw\nSc4dwz4NcJqCjvlIqX1k8riXLhqP0RVStJPVIJxBf1BxoFkRKIe6w5qCldWSPxiCJ8HoI36YvkAQ\nM2qHYNbYSrT3+XD6He9h7i3WTTPRbuxebwAb9nbiYAxhYxSquvPm0/HEZfNVtWvi1UYznVgtNLVC\ngS3ADnUPKvfC7HFVOGqU+Zj8cUNLUORxwuV0JD0hcsAfxJw6fYFeIndJtMOv4BNCITXwtuBCtxOv\n/+yEiG0qitzo8wUNnafvRtEymFAwKuDFY+RTKPa4uNpH5i6GQrcTvzz1CADxmY9K4jAfHeImSCt2\nVX+QKj6FeJPX+O/Y5w3C7XSgqsSD9j6fUqba+j6B0gIXhhS5IyaAtXKP7J0xOucZ4ZJNgvx+C1OY\nnZpKjDKZGR6XA32+IG54eRse/XAPPpNLU/T5gmiXw3Xj/W3cSShoyRMKUQz6Q4Y2/WL5vumzwYTE\nzwtpkAl5JBS4x04HwRHDI8skV5RIBez0tIWWnkF876GPled6ZQwAc821FfORZh9FbmfMSBg92CrV\nilCglMqhnE7luVkOdQ8qN/6AhZtC8ikQuJwEu9v6sPLTFtOfZVBOjvZ5A/C4HBgqCwX+dSsEQ1IG\n7hnTRyomH0a5yZoz7Bxo6/0weE0hV8toB2IJBfne+PeaRvzPi1vR1udTJr2mDkmgx9t20uV0JLUP\nNpuYjbQ6pin02+Bs9nFm5VhBEHaQP0KBu07Zav5fl8zBip+GNYZKuQRBh45f4bUtB1XPNzepqzIG\nFE0hfvNRkceJoSUFEeONhbbujhm8ASk0lzmaA0GKA13mVtoHuwcxXC4LfufbO7F868EYn5DwKz4F\nB1p7vLjk32tjfkartfErs15fAG6nAyWyfZdx98qdqLvmFdOmLUopnHKLxUAoBG8giGca9qGpo1/R\nAO//zrFR98EEstEkwudCZFLZ8GTCzHBGuRxMWxpdUYTFk6UIvQlyV8F97VLAQtyagpNElK5PBLbo\nKzIYDwscsENT4K8Pq/XMkoHtIRGEECeABgDNlNKzNO8VAHgEwLEA2gBcQClttHtMbDV34uRhqtcr\ni401hd+/vE31vF2TnaqYj0ycRLYa+tOr21WvF7mdGFUhJf1YEQrskFY0BTZeph5f+/wWtPX5sP5/\nTkZViSfaR9HS7cXwIYXYLzuc3/jkkKlaNb5gCG6XAw6TK+UBXxBHXr8c31swTnmNzwGgVJpsiz1O\n9PkCGF9dgt2H+3DPO18AAJo7BjBJRyPUEqLSSt/lcCAQpJj8u+UR21QUR/9N2I1c5HGiR0dTYefT\n5UhOiY9MJJamwMxLx9VXo35YKd75rFW51u56WwpljVdT6Oj344mP9uI3p05JSn0p5iswMh+xOkj9\nviDWNrZjRHkhxlQlJ5+Aj0o0M58km1RoCj8BsN3gve8D6KCU1gO4HcCf7RoEH+JpdNFWRNEUtGGL\nEeajEIXbSUz5AphPYb8micnjcmDkEMlpbMU+6ozDfMR8cswxzkowbGqKXWOltceL6tIC/O7MIwGY\nbzXpC4RQ4HSotKloZisW7/8wlx38tsbkVD+sFMUeFygFdh9W50yYFaxBSuEgiJpUFyuAgPXEKPLo\nTyJsQiwH6BJbAAAgAElEQVQrlMaaigzyVMM0BSNteY8cvnzcpGrMrqtEsceJy44bj+pSj6LlxlsN\nlP2eyzbvj+vzWphQMDqfTFPo6vfj6/d+gK/f+0FSjgukX1OwVSgQQmoBnAngAYNNzgHwsPz4WQBf\nJjYVnFeZjwyFgrGmUOByYtSQcOq+NuqAVQA1Q7QuSiPkYxyyEFqpmI8sLECZY1k75nYTzWD8ISkJ\n7bLjJ2D2uEq8uHE/fvrUBmyN0eiENx+FXzOeHPXCXfe09as0mWtOn6L4ReKFUippCk6pT/eI8sgS\nDbHOraIpGKwsuwck7YEJ/VzUFgIxzEc/XlKPSxeNx2nTRmDW2Ep8ctNpOOWoEVj725OUbQrj1BQY\nQ2NouWZh+QFGmgIzu37cKAUiWAnNjgWfBxSHizFhTAsFQsiZhJBfE0KuZ38mPnYHgF8DMLoDRgPY\nBwCU0gCALgARjYkJIUsJIQ2EkIbWVuMIoKjj5x4baQrRfArdg35UlYYvOK2mEAhRC0IhfKE13nom\npo0uVzSRUfKkYWUhGY/5KGQgFMzYuykN3/jML/Lixv24++2dUT/nD1K4XUR1zGiTI7vRJnJZ5s2d\nA1igSSQyEgpmSycEQ1QxHwVDVNdRHevcsmtqlBwerIX93kzo56JfIRQjJLWuugTXf2VqxG9JCFEc\nt/FqChOq46tEYETYp2CkKUivv7X9EABgtkGHuHjYsLdT0Uwz1tFMCLkXwAUAfgxpfv06gHExPnMW\ngBZK6bpom+m8FjGzUUrvp5TOppTOrqmpMTPkqBjd4EVuJzwuBzoH1KtlSim6B/yKzwGI1BRYAxkz\naMMe//ODBVj9myUAgJEVkavUWChlmy0IEkXV19zAZlaw0iQqPd7XIZkEzNSC8SsZzeFjmhEK2om2\ntqoI5x1Ti3u/LTl/jRqraLWQUIjqRqiEqDSRsf3o+QRindsFE4bi91+ZilvOna77/q9Pk6pcTpML\nKfptLqaWDpjJM57Y+uMmVQOIrkVH48GL5wCQivElA5ZhbWQ+YqHcX7RKJsvKGD4nKwRDVNl/GmSC\naU1hIaX0u5Ds/zcCWABgTIzPLAJwNiGkEcBTAJYQQh7TbNPE9kMIcQEYAqDd5JiswV2nRhctIQSV\nxW509qk1BV8whBCFKlxx0Be/+Uh7/GKPS/nsyCFxCAX5sFZyDRTzkeYmNFPgLkTDXd7uvHAWjp9U\njckjynQT0j7e3Y7T7liFlp5BeLnaRwwz5qPhGnNOZbEH//eNGYpze/HkYbqhwNrv8tOnN6L+t6/p\nfh9CoCo8xhqrMGKdW0IILlk0XvFLaVkyZTgabz1TEXDxFIDLdGIlr0Xjjgtm4bkrFsZ06BvBopZW\n72jTrbtklQGTmgIjmaXnQ5QqC7yM1RQAsFjFfkLIKAB+AOOjfYBSei2ltJZSWgfgQgBvU0q/rdns\nZQDfkx+fL29jiweOdzRH8+hXFnuw8rMWroNWACu2SSoifyFoV8WBELWcY6B3wcVTI4fE42iWN3Vr\nfguz5iOmnZxwRA0e/f48FLj0E9KeXbcPnx7swWtbDnIZzdY0Ba2NX9uvtsjjxN+/Fdm+USsUXt6k\n74QMyeajWWMqFN9Tieamj1fga2ErQKu5FNlArOS1aBR5nAl1TWP30nPrm3DSbe/GvR9GOPpI/7wX\nuByq75nMcheUhu/lTHY0/5cQUgHgfwGsB9AIafVvGULITYSQs+WnDwIYSgjZCeDnAK6JZ59WiXbR\nfnqwBy09XqUe/nXPb8HVT24AoK5npBUKfd5ARM31aDx+2Ty8+YsvWRm2IU7FfGQl+ohFiljXFHjz\nEcOo6QgTHu19PiWElI8lYELh9jc+x+odh1Wf7Rrww+0kEaWDtdUxAX0NyxfUNyVofydmPhpWXoi3\nf7EYP15SH1G7x6xp0MjJymB1lvRMVNlOIkIhUXiHcDL8NY9/uCdivzyEENXiMpnRZCE5bwYACtNQ\nM8vsLPYXSqkXwHOEkP8CKARgOjyGUvoOgHfkx9dzrw9C8k/YDn+vmln1/X3lTnx7/jh8KqfiAxpN\nwae+8Dr6fRGdoKKxqL7a9LaxcMSRvBY0CB8041PgL1qGx6CeEVvt75dLULidDtWqih3vb29JceqN\nt56p+uyQIjemaWrh6M05eg5eIwHnDajLFwRl8xEAjK8uwS90ulyZKV8CxF7ZscYwvQn2gMhEgjGi\nj+ykwOUAIdIquzIJeQofyeVNotWp4k2AwRDFnrY+/GPlF7j53Gmmrxc9QhQ4flINRpQXRC3CaBdm\nR64E4VJKvZTSLv61bMBM9BEAvPyjRVg4cShaerw48vrlKqHAXyAtPYPKinPHoR6sbezA2sb4yzcn\nghJ9ZEEqMBvoEM4UY7YZuWSDV/+GRvWMmEa1X86W9rgcqkiCk25bhTU7D0d8rr3Ph9e2HsCRI8sx\ndVQ5rlwcvjn05hy9iYDdtO/taEVDY9hV1e8LqqLHKNXvKcwTrwNUC9MU0mE+CgRDcVWRNYuy0EiD\nHZwQguU/OQElHifm1FUlbb9m+xkEKcUPH1uPpxv2YUecdbIYFBRuB8Fvz5yKmrLoZd3tIOrZI4SM\nIIQcC6CIEDKLEHKM/LcYQGrbASUIP4lF8ykcXVuBx74/D+WFrogJkg+Xe2/HYdzzrpQ5a9SjIVWw\n72bF2cUEWlmhG89dsRC/Pm0yijxO/PO93bjt9c+ifjZEI1eDLifRrVLJsjP3d0qTkccZ2ZLxF89s\nivjc8+ub0Nnvx3VnSAly6sqZkeePEII7L5qleo1Fw3znwY9xPpdcdMF9H2DK/4SzlkMh4yqngCRw\nktXshAUrpKNf8w3LtmHuLW/Z1geAndd0RMwAwOQRZairLkmqKcdMRdvSAheCIYqDXUwbTkxTCoWs\nt9ZNJrFO36kA/gqgFsBtAP5P/vsZgOvsHZp9xLJ5OhwEj182P+KC0Kbgs3pIRZ70lpDi+wObhVmJ\nnITg2HGVuHJxvWLquTNGvkGIRvoUjFotsjr5zZz5SJvoc3RtZKnk9j4fXA6CKSOkMhXqXtT64zp7\nxijVcyMhqV3J8eYjHlZe48tHRraWjJcR5YUoK3Rh+4HupO3TLI99uBcAcMCGdqCD/iBulsu2pENT\nYEgltBMXCgUuB35wwgRTjt6yQhdClKJX1v7iaRjEQ3Xur1QS9exRSh+mlJ4I4GJK6Ync3zmU0udT\nNMakwP/GZuqJTK8dgrW/O0n1mtZnwHoxs2JsD186N7FBxgkTclaij8JOwcj3YtU+kqqKmjMfMacf\n07rcTgc65Izxm845CtNHD9G9iXq9AZQWupTj8Mcze7/EMqexnAWq4yMBgMtPmID5E6oiwlPNMNsg\nksbhIBg5pFCVtZpqDtkgFFZsCxdFTKNMgNtBTJddMcIXCMEbCBnmv2gpK3Sp7olEw41ZLa50Yfb0\nvU8IeZAQ8hoAEEKmEkK+b+O4kg7/Gxu1ydSiDUscOaQI933n2IgwNVY+t35YaWKDjJN4qqQqIW/c\nD3P58VKUcSz7OaWR2pZLrjCqJaLlqMuhZCSfOHkYCt0OlX291xtAIBhC72BAdVOqNQVzN0yQ0qiC\noVt29u5p69e9CWsri/HU0gUReRKx2Hj9yXjssnmG72ubzaSaVhsEEl93Kp2agtNBEi5NzhYyZrOr\nSwtcCIX4LP/EEuikPKCEdpEQZg/9LwArADD9/HMAP7VlRDbB5ymcp9M/VvczhOC9X5+oTE4lBU6c\netQIpX7N1mbJBMDK52qFSLx8dN2X8e6vFpvePpEyF/xk+Nszp+KSRXUxI2MMQ1J1JjrtqmlURSEu\nP34C1v72JIypKkah26mo3QAw7fcr8PP/bJI0BZVQiE9T4Mtza4V294Afnx3swY6WXlSXJi8jtaLY\nE9UHIZna0lcQr9cGJzffhCgdIakMdxL6Kii+EZOLjyKPE0FO20xU4IdoZvsUGNWU0v9ArmEk1ylK\nfUfpNDCmqhhrf3sS7v32MYqzk7/mX9rYjBuXfQIHSV5z9uHlhRg31HwtFyUk1Ur0kUFMeWmBC32+\nQNSch5BcQI7H49Kf6LyBoOIXmDa6HDPHVMLhIEpURYHLiR6NEHp50370egOqvBB+5WT2fnlufbOq\nWx5fghuQQl53yH2Cf3byEeZ2mgTSoSnw14b2904G8XamSzZOR2Qgg1VCBveGllOmDpe3cyAQCvul\nEjUfpdunYHYW6yOEDIVcl4gQMh9S8brsQf6R4822PG1aOJmJV49/8tRGAFJmb7qas8eTp2CUMTms\nvBAhCuxrH4hIGmNQGvk5l8PAfBQIYe74Krx69fG6TrsCt0O3UQnLfmaoNAWTp/DzQ9KE//rPTsDh\nHi/mTxiKlZ+1on5YKe5ftQtdA360yVVhmfaXCjwuZ1Krahrx6pYDuPLx9VhzzRKVgO0ZTO6xgyGK\nXZqy5elCKn+emFAIKKG10S+0f3zrGPiDFFc+vg6hUFhTSNynELnoSiVmZ7GfQypJMYEQ8j6kxjg/\ntm1UNsBUynILCWZG6E1ulx03IeH9xguTUfGUudB+lVljJH/Ltv3GMj+os5JxyyYRrYbhC0iTu1EU\nR6HLqWuuCobUzl+1+chadnF9TSkW1lfD4SB46OI5OF82H3YP+tHW5wMhyUl4MovHSVKiKTy3rgkA\nsKW5S1UOPtmaQnPHQFp9JDys0m0imC0x4XI6UORxKtqJ4lOIURgy9vHT62g2O0N+AuAFAP0AegC8\nCMmvkDVUFnvwzXlj8c25YxPelzZi59rTpyhVHtNBuEpqHOYjzcXHktmiTRwhnWQvpiX5gxQeV/i9\nQJBGFN3THi+gcxNHEwpmnQreYAgOEnlzs+/YNeBHe58XFUXuhDJQrSKZ2uyfRAtlH1d7nw+dXDl4\nbdn3ROnx2q/1mMVpkC9jBauZ2Q5CVAmdiZbZsLK4swOzd8IjAKYAuAXAXQAmAXjUrkHZgcNBcMu5\n0zFtdGRMvFW0F8voytSZHvSIy3wU0l8NseSqbgMTA5UrOGodYUzV1pqQAqFQVDV8lEGp8CClqs85\nrMsE+AIh3UiYymIPnA6C/Z0DaOv1YWhparNGzWaOJwprWHPt81uULnZA9Mq08ZBJFV/dDmKpa6Ee\nQYN7w4iPG9vx6cEeJcxYG3FnFZolmsJkSukM7vlKQkhkGmqeoL1Y0lHrhYcNx4razDaNcDTL5rW3\nP23BQ6t349LjxuOy4ydEfE570bJ6Uv4ABeRAnlCIKsXmjBht0JQmEKSq31mVp2Dh99Y7tsflwITq\nEnx2sAfdg4GYeRnJJlWOZj6k8rJHGpTHyW7ww75LdWkBFk9OvN9JIjhjmI+aOweweV9nRMFDHqVZ\nkMnrrFPTlCvbHc1mNYUNsnMZAEAImQfgfXuGlPlcsmi86nk6w8f441tKXlNCUtWvs0l0zRdt2N81\niD++om6vHe6upf4cMxHxEw47RjRNYcrIct3XQ0nQFKIde8rIcmw/0IO2Xm9Sw1HN4DbI/k425TrV\nZGvKCpLe4IdNgvd95xj89eszYmxtL24niSr0vnHvB7ji8fVRf/9Eq70mnqeQnpLZjFi1j7YQQjYD\nmAdgDSGkkRCyG1IxvBNSMcBM5OwZo/BzLoQxnXHZQDjZbMBn/mJUzEcWBRq7YbSC0OOMNB+Fby7j\ny2xcVTjCqYyLkAmE1JqCWmswP16jHhdTRpShuXMAe9r6MbQkxeajVGkK8nXxytXHKa9Vlxbo+nAS\ngX0XjzM5eTqJUF7kRveAHy9v2q9En/GwcisdUWpPJSoUEs9T0C+7kipiaQpnAfgKgNMgNdX5EoDF\n8uMzjT+W+/DXSwp9lLqMqiiCx+WwFBYYrZ/udWdMMfwcNTA7Mdu9P0DRNeBHMERNhfbxkz1fTtwf\nDGk0BQOncwyMBNKRI6XciUCIpsV85E2BpuCXW8ROGRHWxorcyddS2Mo43v7KyaSy2ANvIISrn9yA\nU25fZbhdtIKEiXSQA5JhPsrgMheU0j3R/lI1yEwkXhu3HTgdBBOqSywlEEXL2oy2cg4ZmJ2Y+ajP\nF8CMG1/HDS9vQzBozmHHkttu+dp0zJBDYnsHAyqbrlXzERMoRgKJL10xNMXmowLZ0WxTk0EFSShI\nHcLW/e4kvHL1cYaZ54kQ1hTSLxSGmhTwLD9FD6sZzT86sV71PCllLjJYUxAYwF8w6XY0A8DEYaWW\nhEJjm6RV6F34VVEmybAvQt98xJKy/tOwTzElxUoC+vclc3H3N2ehqsSDC2ZLrb87+v0JhaQyQWS0\n2uO75FlpjpQMmFM+2WYcLT6ub/jQ0gIcNWqILeGwbGWcCZrCcK4DH3/dhUIUy7ceUJ5HSx5kFlCz\nmsIvT52MXbecoTzf0tydUNhvtiSvCTTw10s6TyCjvqYU+zr6TV2MA74g/v1+I1wOgmHlkVpBdRRN\ngco3jPY7M/NRt3yz+YIh07bZEUMKcdbRUlkt3umbSPIaE9RGte2LC8L2byttVJMBy+mw06/wTMM+\n7G3vj+gy6Lah7tK1z28BkBmawnQu5HwY16Dm2XVN+OFj65XnnQNmzEfmj+twEKVr4KZ9nbjuhS3m\nP6whW2ofCTSobNwZ8CtOqCkBpVLFz1g8v6EJ+7sG8fClc1GtE6MfzZxiFLXEzEfMkUep+XIBPHyn\nKaeBc9nM/eK0oCmUmCyRnCzsFgpdA3786tnNWPlZq6LBMdxOgsO93riK4g36g1E7t/Fd/NJFVYkH\nL1y5EAAwf+JQ5fW97er7QhtGymPVfMQzTi4Ns2lfp+XPAuEEVGE+ykJIhmkKLPzQTFet5o4BOB1E\nKWGtJZrj1agEALPl3rjsE+W1eKI4jISC1Sqp7KNGZZz5BkppEwo2OZv5RLVqTTtHSqUmO5f862PL\n+/3z8k8x95a3VPunlKKi2I1vzx+b0qzwaMwaW4laTUKpNlw7mvkokbaiz1+xEIvqh8LtdKCt14sl\nf30Hu1rNm3WN8oBSSWacxSxE5VNIc0gqELZTm1l9tvf5UFnsMa5HFKXsMwt71V6000YPwdNL56te\nU24uC+0Jec1FJRRUVVJNmI9iaAr8d09WyXOzWDlX8cA38PnpSZNU721qklaw8fQTX7ZpP4Bw74QV\n2w5i/LWvorPfn9KCgmZwOoiqMqy2kRNfC0pLIm1Fh5YWoKLYA18whOXbDmLX4T78871dpj/PhFc6\nZxQhFOIk03wKfO2hWLT3+WJGaRjZh1lf6vV7IyeVeRrNI2AiT0FLodupOH6dBs58K+ajaAJp2mgp\nVFPPhGYnBSnSFH7wpQlYMkXdSvSPX50OAJgbR3N7JsxYU6TXtx1S3hs5xFojIrtxEAL+VhjURARF\nMx9ZzWjWom1NayXIjG2bsclrAmNUiVXplwmcSSK2o7nPF0BJQfTVsVFNIraqZr0ltNx87jTlcTAO\nnwIQNiE5nbwgsGY+YttHO/YD352DV68+HpWpzlNIkaawlCtPwjh56nCccERNQgKJ+SN4QZBpmoKD\nqHtIDGoSO1//5BAuvP8D3c8mmrzmkusvma3my6NoCsKnkH3w5ywzzEfSGHw6fZK1+IM0IipFi9Gk\nP0quVfS1WaN13//WvHE4/9haua69NPFY/X1q5JW7YZ5ClN3NravCV2eOUibcMp1SD4wRQwoxdZR+\nmQ07sdPR3NI9iJvl0iSVxfrCzsOdG7MEgiEckHs7M02ha8CPQrcDt31jBuaOt6552InTQVR+BK2m\nAAAf7mrXbUzFhGq8q3W3HPbLrtO4NIUsKIgn0EBUE1b6hYIVk0QgGIrZJc4o5pxVoIxmlplYUwp/\nkCqTh1U1nDlHjTKao+kK//nhAgBA3TWvAAAuWVRn6dipIGzqS75QWLb5AAIhiok1JYaTGl97qd8X\nQIHLGVNw7+Scpb1eqTPfox9K+atfO8Zce9tU4iDqDmxanwKjc8AfEVjx8/9ItT4TMR/5AqG4/AJG\nyaGpRGgKcRJv2QW7YHVnzKw+AyEa0/lbYNADgdWqj6ZplBdJAqdDduY5LTiaAWCknG3ML+Li6bwG\nAF86Ir1VO/Wwy9FMKcXa3e0AgOU/NS5NxjdEmnr9Cvzuxdgx9f2c+aW9z4cO2SY/f0JmaQgM1uOA\nMeALt4Xlae/zqp7zWebxNiOSuhCG6xdRJNY7PdXYJhQIIYWEkI8JIZsIIdsIITfqbHMxIaSVELJR\n/rvMrvEkG3Xto/QLBbfc2MbM6tMfpDHD7YwmfUVTiPKdWXhse58/5rZ6zBpbCUDdYN5qj507L5qF\n//xgQdpLkOjBNAW+/tGfXt2Ou9/ekdB+3/msFcu3HQQQXWizUhcsE/nptfti7rubC+Hc0dKLTw92\nAwCWnpC+joPRkMxH4eeDgSBqygrQeOuZmMpV5tWWu2jqGFAej68x3yedRzEfyVeqFfMRG3M6r1s7\nzUdeAEsopb2EEDeA1YSQ1yilH2q2e5pS+iMbx2ELDgN7d7qw4rwMyIXSzOxP77NAdEFYLicxfbS7\nDYB1J+Rp00bg2tOn4JSjRiivGfVWMOLsGaMsHTOVsN+WL2F93yopbPFHSybpfsYMZhPSPC7Jp8CE\nQiz/EhBeNU8eXobPD/Vg+daDKHQ7MG+8fq5LunE4Is1H1aWSNn36tBH45IAk1Nq5wnjtfT4c/5eV\nAIDXfnK8Ya+PWCSSNZ7TyWtUghki3fJfevvMJRFV8loGSAUrzkt/MBQz0chjaD6icDtJ1ImZ9cF+\naeN+TKwpQf2w0phj4nE6CH7wpYkYXx1eqcXbTyETsSsktShKfgkP8ymwXsJmylOwTnzH1lViT1s/\nnl/fjCVThqU88c8sTqJOWBv0B5X8m6tOrMerVx8PQF0t9XHZRwLA8jXLEy4jLx3fyqSX88lrhBAn\nIWQjgBYAb1BKP9LZ7DxCyGZCyLOEkDF2jieZZJpPQbFTmzQfxdIUjFpUBoL6LS55+OS3U7nVfiJY\nzVPIZOzyKbBJ6Ool9VG3YytZpimYSS7sHpA0hTl1YdPelzU5EJkEczR//d41OPcf76PPG0ChLIwd\nDqJM+rymUM6V6TCjPRnBFlysIKQ181EOawoAQCkNUkpnAqgFMJcQMk2zyTIAdZTSowG8CeBhvf0Q\nQpYSQhoIIQ2tra12Dtk0/LyYCVVSLZmPQiG4Y0zs31swDgBw/KRq1ev+YGwnNS9wkpXUpM5TSP/v\nnQharY53biZSTpuZS86KYTpjmgIrnmjOfOSHy0Ewe1zYsTxzbEXcY7Ubh+zsXdvYgQ17O9HS41VF\n1HlcDpQVulRCIVm3sVboP7e+SYmGM4JSip0tPWHtJlc1BQaltBPAO5Ca9fCvt1FKmfv/nwCONfj8\n/ZTS2ZTS2TU1mRFNEm80jF0wE9bf3tqBdXs6ok4uARMTu8vpwIzaIRG+g0AoFHMS4TWJZJnWzOYp\nZANMKGzd34VQiKrCJa302dbCVqaxAh8KXA74giGs3nkYgDmh0D3oR3mRG2OqinHm9JG4YPYYTKyJ\n38RiN05C8LEcicX4/JC6BtHQEo9iPlq94zAeWr0bAPB/CbYUZZV+W3vVkU3RgkDuW7ULJ922Ctua\nJV9HOjUF2wyChJAaAH5KaSchpAjASQD+rNlmJKWUFTk/G8B2ZAn8yjUToo94zrtnDf583nT0DAZw\n/rG1qNAkMbHmK7EgmlhvQBYoMb4vL3CSZVrLBBNdsmBC4bEP9+Lxj/aqzAtSuHB8+2WRYbG0wKNr\nh4DScPHCWKZEQHI0M1/R3791THwDTCEHuWquF8weg6cb9uFA14Bqm6oSjxKS+u0HJcs2IcDXjtFP\nzDQLC6zY36muKNvnDUTci4y3P20BEE6ci3UO7cTOI48EsFLu8bwWkk/hv4SQmwghZ8vbXC2Hq24C\ncDWAi20cT1LJtJBULb95bgv++Mp2/O7FrfjsoLpXbSAUe2IHpO+lVTj8JoQCL3CSZVrLNM0sEXjH\nrvb3TYqmEGOS15b10AYdtPf5cM7f38fmpnD55+4Bf9Ts8EyDX5WzGldfP1btsgxS4P2dbdjS1KX4\nGH57xpEJh4OyMi3aMuPR8h7aZGHA5pKiFBdp5LFNU6CUbgYwS+f167nH1wK41q4x2EkmT1JXL6nH\nnW/vBAD8d/MB/HfzAXz6h9NQ6HbCHwyh3xc0NWYHiSw5HAzFjlxSZSInSWASvkpqtvsUdH6/Yo8T\n/b5gQt3Y2GfdsTQ5zfvVmv4Zr245gE37OnHTsk/w7BVSb4LuwYCSlJgN8H2Sy4vc2Hnz6RGLN9bz\n4PGP9mB0RRFKPE5cplMvyiqFsu+iX1NvKVrI8GE5X4JVATAbSWYHIqM5TlS1jzJMKkzUCadjF9vq\nHZIded2e2KWT9cxHfhPZ0LzQSFaJ/UwWwlbRE5TMZJGIpmC2kJvWFDdKE4+/R27V2rCnA8+tawIg\nOZrLCrJHU/ByHQgLXA64nA5DDaCi2GPapGqGAtn+p+1tEk0osP4OvV5p3OnUFIRQiJNMq33EM210\nZDG7AfkmYavJy02siJwk0nwUCMaOXOJXwsn6bXIpJBUATpwcDpi4dNF4TBkhmTiYCSge/Eq2efTz\noxUa2nPc2NavlFb/xTObsGFvB9r7fFmlKQxymsLhXv3eCZcuGg8AqCpxmwq+MAvLQ9FqCl6D+ks8\nvV5JOAihkIXw91V5BrQh5JlYU4qdN5+ueo2FH7KMZDMp/A5HpPnIXORS8gWmusxF9kuFf10yF7d+\nTeptcLB7QDHpJKYpmMs70JqPtMf8oqUXx46rxKJ6KVv53H+sweFeX8Z0VjMDH5q9YKJ+1vVPT5ay\nxx2EwG8iqs4sTCj0aTQDvwmB38c0BWE+yj4yrfOaFu0NzMIeWXKbmRvAQQgO9Qwq2awAMx+Z9ykk\n67fJJfMR49hxUiJYKBT+nQJxlkcAwppCTPORVihwgv+Xz2zCrsN9GF9TgrFV6oXDcfXqnJVs4L1f\nn2gYOlsom3m8gVBSzUfs/uiWHcsXzZUc3H6DHKIBTqPoFT6F7IVp6LE6mGUKzHzEJg4zpQ0IIdjX\nPmew7LIAABrHSURBVIBz7n5feU0yH0WfdNSmtXhGG0kulblgTBpehtsvmIGbvnqUsrpPhk8hdh6J\n+hfkewqs29OBsgIXLj9+An535pEYW1WsvDdZp8pophMteVIq1yL5HwImsvzj5ZtzpURQoyCCQ1yU\n0kG5Z0VVafrmFSEU4oSZMMZwN026+e6CcfjO/HG677HVCAvVM2M/ZSF1rCcvYM58xGNHnkKuaAoA\ncO6sWgwrK1RaliYj+iiWINaeE14Q9fsCOGP6SFSXFqCkwIUlU4Yp77E2qdnAV2aMgkd2MBtBCEGB\nywFvIASfiXpg8VIsdzl8aPVuXHS/th4o8MKGZuXx7sN9qCx2K5WG00H2nOUMg6XHZ5JQuOkcbRWR\nMD2DAQSCIUUomFGVP+XyGyilILLttdRt/rJJlvlIPY/lkFSQSYZPQapLFb1YIRC5IOge9OMf7+zE\nD06YiH5vUJnEAKk7HSOdE5VV7rpolqmSIQUuJ7yBEAJBakp7tsrTS+cr+22QI/7+d8Wn+MqMUUpw\nwd/eCpdMb+4cwIwx6S0fIoRCnPT5WCnhzE31/+6CcaitLMLfV36Bq55Yj8piN65cLBVLs2o/7fcF\nUVLgMpXRzJO0PIUc1RQYTHgm0o3tYNegqhih4bE0P+CHu9rx4a52jKsqQb8/iGIu8mV4ebgwolHj\npUzFTBKapCkEpcrBSfQNPnH5PAwrK0T9sNKITOq/r/wCj36wB+9fswRlhW6MrSrG3vZ+5f1xaV5o\nZtdZziC+MXsMfnPaFCw9YWK6h2LITedMw9ITJuI0uVJpR79faaFoZlV0z7eOwRGy0GMOMDNlt3ns\nCNfNQZmQsKbw1xWf4fkNzTjPRIkGI0H98JpGBENU1ap1uNwFb3RFUUY2LEqUArcDXn9IqhycRKG3\ncGK1kiWtXYAdV1+N7sEApt/wOh54bxfKi1yq3g3jhgqhkJUUup24YvFEw74DmcTVJ01SVqJsRWLG\nqXb69JFK05etzV2glJoukcGwI7EvFycnJfooFFKVlzDL659IHdd+dvIRMbc1On8fN0oF5HiNoKJI\ncniWFKQvGsZOClxOPL+hGYd7vbYtNrRCYSZnHnpw9W54/SGVdjZWaAoCuxldUYQPrl2iPCfEvK2/\nWo6u+v7DDfjz8s8QNBGSymNHXa/cEwnhieOed3bh7LvfR0Nje4xPRHLK1OGGBdd4Ypn0+G5q9cNK\nsWTKMPzv+YlVDs1UeAFYalPDIO0CbGipB//98XEAgMWTa+ANhFBcEKmdpQshFPKEYWWFqJYb57gd\nxin/Wo6tq8QEOdFt5actUjy3FZ+CLZpC0neZdphQWPW51C+E7whmhpYeL4aV6zdG0hJN0/vBlyZg\nem04I97jcuChi+ek3flpF7xQ+PkpsbWseNBqCk4HwbTRQ1BW4MKTH+/D3vZ+pQEQAJXWkA6EUMgj\n2GRgJR67wOXE279YjAtmj0FHv89ySKodiX25kNGsxaNp0Wml1443EERnvx/Dy8ytMI0E9b8vmYOf\nnWTPxJipsDpFp08boTxONlohzJ71cBnPrGc0AFPBAnYihEIewSboIXGU5XC7pE5WARNVUnmEpmAO\nraDu4bLIY9HaI5VdNqspGAnqRfXVaZ+QUg0TxqM1RQGTCSFEFdhRPywyCZAvq53ucyCEQh7BVvjx\nZEu6HFILx64BvyXzUSaWAMlEtOGe3VFq72thBd+qDfpqa+Gd/y9cuVB5nMyQzGyBVTIdXWmfUACA\n4UOkczOivFC3FlMh1yo0ncXwACEU8go2QVeVmJs8eNxOgp7BAPxBilILma12zDO5qCl4nOqJYGtz\nl+nPsomNDyWNBu9oZglUQG5GdcWCCdTaSnsjfuqGSn65STp5TTedcxQe+/485Xk66x4BQijkFWwl\nWFVs3XzETEajK4pw1Yn1pj9nj/ko9yYvbWjzys9alIq2sWAlmeNZYWZbQlqyOWqUJBTHV9srFFju\ngV7S6HcX1KmK9vFaQzrI7ysiz2D1deLTFKTPLpg41PSKVDqmSF4zg9an0NnvxyaT+QqsLHo8k0my\nMs6zlb+cfzSeu2KBrp0/mTBNwajRDh9XUGiTw9ssQijkEaze/tA4fArMj2BVtRWOZnPwmsLk4dIE\ndbDLa+qzrAJuvGaHCSZ6a+QqxR4Xjh1XZftxxslCobljQPf9ymI3fvLlSXhq6fy0C2pR+yiP6B6Q\nVimVJhKctLAL1aqJwo7Ck7kckgpIUUSfHeqJaOdoRJtsF483auXlHx0X0RBGkFwmyoKXb5X78W+/\nrJj+CCGmstFTgRAKeQTrA1sVRw8I1smq0KINWmgK5uBbnDKn56+e3Yyvzx4T9XMPvLcLN7+6HUD8\nZofSApdt2bwCiQk1pXjy8vk4anTYsT/MZF5JqhHmozyCmRniEQqK3dqkpsBMEiOiNDmJlxyUCXA4\nCGrlsMiqEvOBAH98ZbvyuNAjbudMZsHEoVlRflxcRXlIIkLBrN36kUvn4qWrFllySpsmF6UCgNu+\nMRMAMH9COI592u9X4KHVu3W3f6Zhn/L4vGNqLfUDWPe7k/D+NUtibyjIO4TOmIfE00KU9Xg2KxRq\nK4tti/3ORZ8CAMwdX4XP/3i6yr/Q6w3gj698gkuPGx+x/ZvbDwEAXrxqkaryphmGmkx0E+QfQlPI\nQ+IpczGghD2mvwxCLvoUGHql2EcO0c+2DYakSCWrAkEgiIYQCnlIPCFvx9VXAwCmjiqPsaX95LBM\nUNh246n4n7OmApA0CD32tvdhbJobsghyDyEU8ojqOPITGF+fXYtN15+CI4bbm+RjBjsimjKNkgIX\nvn/ceFSXFuiGAVNKsbe9P+2tGwW5h20+BUJIIYBVAArk4zxLKf29ZpsCAI8AOBZAG4ALKKWNdo0p\n33n7l4uVuGirEEIwJI7yGHaQBzJBweUguuUulm0+gEF/KO2tGwW5h52aghfAEkrpDAAzAZxGCJmv\n2eb7ADoopfUAbgfwZxvHk/eUF7pRU5b9DsZcdTTr4XJKJcsZlFKs+eIwrn5yAwDhMBYkH9uEApXo\nlZ+65T9t65BzADwsP34WwJdJLlY7EySXPLpCJE0hfNus29OBb/7zI+X5l48clo5hCXIYW30KhBAn\nIWQjgBYAb1BKP9JsMhrAPgCglAYAdAGIKDZOCFlKCGkghDS0trbaOWRBFpBPywaX04GgrCmEQhRX\nPbFe9b5d3cIE+YutQoFSGqSUzgRQC2AuIWSaZhO92zuiESGl9H5K6WxK6eyamho7hirIIvJIJsDl\nIPDLPoV9Hf041G2uSJ5AEC8piT6ilHYCeAfAaZq3mgCMAQBCiAvAEADtqRiTIHvJJwujy0kUTWFt\nYwcA4MI50eshCQSJYJtQIITUEEIq5MdFAE4C8Klms5cBfE9+fD6Atym10rJckI9YKeeQ7TgdDgRC\nFA2N7fjNc5sxeXgZrj3jyHQPS5DD2FnmYiSAhwkhTkjC5z+U0v8SQm4C0EApfRnAgwAeJYTshKQh\nXGjjeAQ5gl7Wb67idhAEQiF8uKsNwRDFU0vno9xCO1SBwCq2XV2U0s0AZum8fj33eBDA1+0ag0CQ\n7Tjl6KMBfxAuB0FlHHWrBAIr5M+SSyDIQtxOyXw06A9lRN0pQe4jhIJAkME4HVLy2oA/KISCICUI\n46RAkMG4nQT+QAiDviCKuCY6L/9oEcqyoGGLIPsQQkGQNTxx+Tz4g/kVnDa8vBBrGzswbmixqt3m\n0bWiXLbAHoRQEGQNCydWp3sIKWd8dQm6Bvw42D2oWy1VIEg2wqcgEGQwTBB0DfhRkEehuIL0Ia4y\ngSCDYb0jvP4Q3HmUtCdIH+IqEwgyGCcTCgEhFASpQVxlAkEGw1qnev1BuJ35U/NJkD6EUBAIMhim\nHAhNQZAqxFUmEGQwzKfgC4bgEkJBkALEVSYQZDAOrky4MB8JUoEQCgJBBuN0cELBIW5Xgf2Iq0wg\nyGBUmoJLaAoC+xFCQSDIYHhNwSU0BUEKEFeZQJDB8L7lfGouJEgf4ioTCDIYvh+1yyHMRwL7yYmC\neH6/H01NTRgcHEz3ULKOwsJC1NbWwu0WZZgzEacq+kis4QT2kxNCoampCWVlZairq1OtrATRoZSi\nra0NTU1NGD9+fLqHI9CB9ykI85EgFeTEVTY4OIihQ4cKgWARQgiGDh0qNKwMho8+KhalswUpICeE\nAgAhEOJE/G6ZDa8plHhyQrEXZDg5IxTSjdPpxMyZM5W/W2+9FS+99BK++tWvKtv86U9/Qn19vfJ8\n2bJlOPvsswEAdXV1OP7441X7nDlzJqZNm6Z67Sc/+QlGjx6NUCikvPb444/j6KOPxtFHH42FCxdi\n06ZNynvLly/H5MmTUV9fj1tvvTWp31lgP7xvuaRACAWB/YirLEkUFRVh48aNqtdaW1uxdOlS5fkH\nH3yA8vJytLS0YNiwYVizZg0WLVqkvN/T04N9+/ZhzJgx2L59e8QxQqEQXnjhBYwZMwarVq3C4sWL\nAQDjx4/Hu+++i8rKSrz22mtYunQpPvroIwSDQVx11VV44403UFtbizlz5uDss8/G1KlT7fkRBEnH\nwUmF4gJhPhLYj9AUbKSmpgZDhgzBzp07AQDNzc0477zzsGbNGgDAmjVrsHDhQmX7b3zjG3j66acB\nAE8++SQuuugi1f5WrlyJadOm4YorrsCTTz6pvL5w4UJUVlYCAObPn4+mpiYAwMcff4z6+npMmDAB\nHo8HF154IV566SX7vrAg6fDRR8J8JEgFOXeV3bhsGz7Z353UfU4dVY7ff+WoqNsMDAxg5syZyvNr\nr70WF1xwARYuXIg1a9YgGAxi0qRJmD9/PlasWIGzzjoLmzdvxpw5c5TPnH/++bj44ovxy1/+EsuW\nLcPjjz+ORx99VHmfCYpzzjkH1113Hfx+f0Qo6YMPPojTTz8dgCSExowZo7xXW1uLjz76KKHfQpBa\neJ9CRbEIGxbYT84JhXShZz4CgEWLFilCYcGCBZg7dy5uuukmbNiwAZMnT0ZhYaGybVVVFSorK/HU\nU0/hyCOPRHFxsfKez+fDq6++ittvvx1lZWWYN28eXn/9dZx55pnKNitXrsSDDz6I1atXA5BCTrUI\nx3J2wUcfja0qjrKlQJAcbBMKhJAxAB4BMAJACMD9lNK/abZZDOAlALvll56nlN6UyHFjrehTzcKF\nC3HXXXchGAzi8ssvR1lZGQYHB/HOO++o/AmMCy64AFdddRX+/e9/q15fvnw5urq6MH36dABAf38/\niouLFaGwefNmXHbZZXjttdcwdOhQAJJmsG/fPmUfTU1NGDVqlE3fVGAHfLmjQrfwKQjsx05NIQDg\nF5TS9YSQMgDrCCFvUEo/0Wz3HqX0LBvHkVamTp2K/fv347333sM//vEPAFJU0b333ou//OUvEduf\ne+65OHDgAE499VTs379fef3JJ5/EAw88oPgZ+vr6MH78ePT39+Pw4cP42te+hkcffRRHHHGE8pk5\nc+Zgx44d2L17N0aPHo2nnnoKTzzxhM3fWJBMnEKzE6QY24QCpfQAgAPy4x5CyHYAowFohUJOoPUp\nnHbaabj11ltBCMG8efPQ1dWl2P8XLFiA+++/X+VkZpSVleE3v/mN6rX+/n6sWLEC9913n/JaSUkJ\njjvuOCxbtgxvvPEG2tracOWVVwIAXC4XGhoa4HK5cPfdd+PUU09FMBjEpZdeiqOOyixNShAdFn1U\nXigsvYLUQPTszkk/CCF1AFYBmEYp7eZeXwzgOQBNAPYD+CWldFu0fc2ePZs2NDSoXtu+fTuOPPLI\n5A46jxC/X+aytbkLZ921GnPqKvHMDyMXEQKBWQgh6yils2NtZ/vygxBSCmni/ykvEGTWAxhHKe0l\nhJwB4EUAk3T2sRTAUgAYO3aszSMWCDKHqSPLccXiibhkYV26hyLIE2zNUyCEuCEJhMcppc9r36eU\ndlNKe+XHrwJwE0Kqdba7n1I6m1I6u6amxs4hCwQZhcNB8JvTpmBYeWHsjQWCJGCbUCBS7OODALZT\nSm8z2GaEvB0IIXPl8bTZNSaBQCAQRMdO89EiAN8BsIUQwgL4rwMwFgAopfcCOB/AFYSQAIABABfS\nOJ0clFIRgx8HqfApCQSC7MHO6KPVAKLO0pTSuwHcneixCgsL0dbWJspnW4T1U+AT6AQCQX6TE3Fu\ntbW1aGpqQmtra7qHknWwzmsCgUAA5IhQcLvdonOYQCAQJAFRJVUgEAgECkIoCAQCgUBBCAWBQCAQ\nKKSkzEUyIYS0AtgjP60GcDiNw2GIcagR41AjxqFGjCM9YxhHKY2Z/Zt1QoGHENJgppaHGIcYhxiH\nGEcmjiMTxqBFmI8EAoFAoCCEgkAgEAgUsl0o3J/uAciIcagR41AjxqFGjCNMJoxBRVb7FAQCgUCQ\nXLJdUxAIBAJBMqGUpuwPwBgAKwFsB7ANwE/k16sAvAFgh/y/Un59CoAPAHghdWXT7s8JYAOA/0Y5\n5vfk/e4A8D1uHO8A6JD3fQjAeTaPYzmATn4beRwfQKoQ64XUdMgTzzgANALYAmAjgIYo4zgNwGcA\ndgK4hhvHQXm/gwA+BOBO0zhWQgrR88pjutrmcTwEoAXAVs15eQ9Ar7zvTwFUxjmOCgDPyvvYDmBB\nms5LouNI1nkxOw7bzguAyfJ1wf66ITUBi/l7cL9Fl7zfA/JYh6VqDNzrBMDNAD6Xf8urkzJPJ2Mn\npg8GjARwjPy4TP4yUwH8hbsArwHwZ/nxMABz5C+uNxn/HMATMJiM5Ytll/y/Un5cKY/jPgB/5Max\n0K5xyNt8GcBXoBYKIwG8DuBCeRydAG6MZxyQJsHqGL+/E8AXACZAEj6b5N9/JIAfyxdZmXyBpmsc\nNwB4BEC5fF6Os2sc8nYnADgG6slnJICH5WOVAWgF8ECc43gYwGXyYw+AijSdl0THkazzEnMcqTgv\nmu98EFIMv5nfg43rDITnjlcg3cepGsNU+b1L5HPiYMeKdb2b+UupUND5wi8BOBmSFBzJnfjPNNvd\noHNx1QJ4C8ASGAuFiwDcxz2/D8BF8uN9AEpSMQ5u28VQCwUCafXlkp+vAtAQ5zgaEXsyXgBgBff8\nWgDX6my3BZKQS/k4AHwMoD4J5yXmOLht68BNPvJr/DGXy9eLpXFAmkB3Q/bdpeu8JGMcyTgvZsdh\n93nRvHcKgPfjPS/yb3EPpOZgKR0Df06S+Zc2nwIhpA7ALAAfARhOKT0AAPL/YSZ2cQeAXwMIRdlm\nNKSLhtEEYDQhpEJ+/gdCyFZIF/guG8dhxFAAnZTSgPx7TARQHOc4KIDXCSHr5J7Weuj+HvwGhJB6\nSKrtw2kax0QAFxBCNkO6WVptHEc0hlNKD8jnZSqA0jjGMUEe/78IIRsIIQ8QQkp0trP7vCRjHMk4\nL2bHEY1knBeeCwE8afBe1PPCzWELAHjSMAZ2ThoIIa8RQiL628dDWoQCIaQUUu/mn1JKu+P4/FkA\nWiil62JtqvMahVQyvBbAOki2vqchSXK7xhF1fNzvcQOAYJz7WkQpPQbA6QCuIoScYHQ8DVR5UxrH\nB5BWJivSNI4CSALWD+BOAHfZOI6o8NdpnGNwQTI13EMpnQWgD5JpIeJQOq8l87wkYxzJOC9mxxGV\nJJwXth8PgLMBPGO0ic5rVDOGzyD5J+O6bxMZA6RzMkiljOh/QvJtJEzKhQIhxA3px3ycUvq8/PIh\nQshI+f2RkBxM0VgE4GxCSCOApwAsIYQ8RgiZRwjZKP+dDUmqjuE+VwtgPyRVrx/AdwE8DuB6SBer\nXeMw4jAkx9vz8ji2yuOzOg5QSvfL/1sAvABgLiFkDDeOH0b5Pdh52QjJtnmO/H7KxyG/d5r8e1wD\n4GgbxxGNQwCWyeP4QD6m1XE0AWiilH4kP38WwDFpOC8JjwPJOS9mxxGNZJwXxukA1lNKD8mfNfV7\ncHNYKyTB9vNUj0F+3CSPA5Cu8aNNHjMqKW2yQ6RemQ8C2E4pvY1762VIUUK3yv9firYfSum1kGxr\nIIQshmSr+7b89kzueFUAbiGEVMovncI+B+mk9fx/e3cPYkcVBXD8fxZTqESDINimEEGUFBYBRVws\nFFJtQAUVISqKYCsipJEgpLMRMZUuWCgomMJ2wY9WhRhcFBNEVlELQfNiwpLgsTg34yTG9+HOTgz8\nf/BgeTNv33lz387ZuXPvuZn5akQcANapfujB45jhNHC+xXGkvefuReJol+BLmTlpPz8AHMrMDS4+\nHtcAt0bEbuBH6rL1sdYuH1NdV3dm5oWusIXaZaA4zgGb7XgsUzfyPtqOOKa8PoDzwI4Wx0vtPWOR\nODLz54jYiIjbMvMbarDB+tjtMlAcW26XeeP4N0O1S8+j9Lpt5j0e1DlsCbge2J+Zf0bEQm0yQAwA\nR6l7mW8C91FtsnVD36SY9qBGLCTwJX8PxdpH9a2vUcO51oCb2v63UNnwFDUy5wfghkt+5zLTR/08\nRQ3lOgE8eUkcp6nhoBOqIbczjk+p/yzOttc/2IvjDNWN9Rt1KblQHFRf7bH2+Ao4OCWOfdSX5+SF\n/XpxbLb4zgJvX8E4TrUY/gCe3+Y43qGGFZ5rr3+6F8ekHZMJ8Mh/+X5Qf+CfUd/5o7ShimO2y4Bx\nbKldFoxju9vlOqrH4MYZ56yLjkcvhn67nAQOjxVD7/ld1Min49RV054hztPOaJYkdZzRLEnqmBQk\nSR2TgiSpY1KQJHVMCpKkjklBWlBEvBwRL0zZvhIRt48ZkzQUk4I0vBWqLo901XGegjSHiDhIlUXZ\noCYhfk7V1H+WKml8AniCmpz1Ydv2O7VOB8DrwM3URMVnMvPrMeOX5mVSkGaIiLuAVWAvVRrmC+AI\n8FZm/tr2eQX4JTNfi4hVanb7+23bGvBcZn4bEXuBw5l5//ifRJpt1NpH0lXqXuCDzDwD0OrcANzR\nksEuqoTzPyqYRlXTvBt4r0r3AFXdUvpfMilI87ncJfUqsJKZx1pRxeXL7LNErZkxb4FE6YryRrM0\n2yfA/oi4NiJ2UsuqQi3H+FMrpfx4b/9J20bWeiHfRcTDUJU+I2LPeKFLi/GegjSH3o3m76lKl+tU\ntdAX23PHgZ2ZeSAi7qEWPdkEHqIWp3mDWqZxB/BuZh4a/UNIczApSJI6dh9JkjomBUlSx6QgSeqY\nFCRJHZOCJKljUpAkdUwKkqSOSUGS1PkLupOyyRL1b6AAAAAASUVORK5CYII=\n", - "text/plain": [ - "<matplotlib.figure.Figure at 0x7f8a337a4978>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(betas[0], label = 'EWMA20')\n", - "plt.xlabel('date')\n", - "plt.ylabel('beta')\n", - "plt.legend()\n", - "betas[0][-1]" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "4.3347774862364643" - ] - }, - "execution_count": 35, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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z8EEsf5eNuF4Gv7lkWjsS2JxFBmL19FBXUlixzcHgV2jX6E5uoN1N0hHL6jZ2\nRaE9HzPufBErt+zPWFZLlE4WD1+c15HWlQBT0nH+ndoTD1+/T1WRkG2M4V9fmWGEbEtJxwcseZoY\nQsZrsFk9fN3IJIXpnOwmsUUQdh/qRkVIwQlN/VETCztq+O82W+WQsB6RkHDw8J0knVxv/T9XfoQT\nf/Yi1jQfRDSiGCkncoENervBJq/UV0WMxqtfVcTWQ/ru/71jyZfObsOnjhuBv1w93fI5G1Az0hsI\nRXc7FT7Sh4e/lfzAO4N3EBwHbQWD9F9PrsWR/2XP8C028IWALbLu18P3QjLlbKSd7HOFkCcKED18\nc1s+dJOCuqbTUCnFul1t2HWoG3c94xyx5XQsvwafRemIHeyeBgvwMEknFrHny6mr1Op5IdfzKAuD\nzy5Ym+CVDqyJGq8zaWR3PbMeS/XFF0QPn3lSUd3gdybSaKyNghCCmoowEinVtvTZW9utWmFYb8VT\nFg1fN/ix/Hn4KzZr3tDew3FUhHLT8AFg8rC6rB4+M/jdibSh4fevqnBtWI1JZ/rjRIh1YpNKqeHN\niYN5/DZOGJE+wu/4rS+f+zoOdVobMV62ctKTI0JBnl7jPJC9TffwDxZoiT4AaNcb5CCWWkwIKQAY\nTgbayevnDVuaUjRUa726zS1mw0hpBg+fOktFTviJ0hF7ZiqlWhw+mKTjvA4Fsx09GbSNRcy02ww2\nW//Hn5iEV39wmu9950JZGHyFAB/sbrN1/3i5xc0QbW5px59fNgdYRQ+VVX6WExsw8+gwY33BPa8a\nBnDHwS5bJQ2HFNugbfMBLdKnNhqxKfi59u6qoyGzjJEQFKLF/r+5LXO3mFEbC+OamU3oVxXJ6uEz\nb+lwPIU2fdv6yoirl8UqPi+/8KkL4inVGMB1W0XsIZdc7OZDT1w+19h+wCq98PdD9OYBs1fHcGoE\na6NhPLJqO5puXoCptz9vWfovSFi9dBpD6im89GjNcOnt92K2zAqHFjyZVo1GdmxjtfE5awSi+vPW\nnUWXF1eUc+P9nW3YJsy6T1Om4Wvvg5B0LKGYwg6YdBkNh2x1LSjKwuATQrCnTRsQOXfyEONzXm5J\nu2TeEnO/iAaf5aVhHod2PO0/r78zWePDPYdtxwiHWCpY84azVa/y6eFXRsx9RcMKCAEWrNmFS/60\nHMs3ZQ5NVVVtXkBdLIzaaCTrjFn+QdytSzH9HSQd9gAbk2r0Sk9ALB7+ezsPGQ2l2yDoovecJ7oY\n5j6Dhg+LCNj2AAAgAElEQVTYxwb4++HkbY4dWG37DIAlj8yYxmpLI9d8oDB6Pjtmtp4Yj9cUEIak\nQ61yhlvYooi4OLfTPIVpo/sbDtnkYfXG5+LiP9ly0FuidDLIW+ff8wreEZLeiQugMERPvidyC+v9\nUmpXGZwawqApC4PPP6v9q81Fuy89foTx2s3DFwdNbZKOoOEDpnHgf8vSJDvJDkzSEccHAM0rF5+j\nL50yxnjtJ0+LxcPXo3QYW7IM1HWntFj6qmhYG5vIYkj4cu06yAx+hc3gM+NoTKrRP1eINQqGXzSc\nyRSeMzXq13zT3nY03bzAmEAnXrpESsWGPYeN8Dj+fjgZfEUhWPjN2bbPH/3qTOP1cGGBmn5VhVk0\nno0HHe5OQlUp9rbZ5yGIeI0m4q+Ll8Xaxw+qsbwXl38UDd3dlxyDr31snDGHgE3eAkwZLeWxDqg+\nNHyRtApLemSGPUqHSTr+4WcPpym11LNoRBr8nOA9Dya9XDBlKO761BT8+tPHAgD++0nneGXRQO06\nZF2owExExiVD0483qM4cI2Bda6duX1jRJZ2U/cto2N6VG1wXNaJY/KQqqI3xHn7IorlmWwqOVczK\nSAi1Hgw+3zCyiWj1VREc6Eyi6eYFeG2TNlAbM8Y+tP2ZuXOIRUZxkiZeXL8XP35yLQ51JfGDR9dY\nvlu/uw23PL4GP35yrdH4rNAlvQXvajOhxcb3hXV7cPZvl+L6h1bjc/NetyTWc2tYJw2rs33GjxWI\nvYZCRVuwetGdVPGPFdtw4s9ftAULiIgacrZ9A9aBbzcH/5zJgy2GTIzSEa/JZSeMBCHEkHJmTzDT\nNBhrR+j7yNbTtEo6zo2DW+CCkS2TafiuuXRyv6e8lJlSrQa/LD18QkiIEPIWIeTpoI7BO2fMwIQU\nTTLop4dTuoV3ibofm3BE9aifax54A4DVMDNDOqK/GVPObqyT3QiH9EFb7um5/aLJWHPb2QDs0SXJ\ntGrMC/ATdseXsSJMLAbf64BWZSSE4f0q0R5P4T5ubEOE70rvONiFqoqQxfixPCMx5uEnrB4+gXVi\nEz8LEQCm6/Me/rp8G/5nyUY8smq75fvfv/Ah5q/cjr8u34ZdLt4tM1w//oS23CUziCu27Meyja34\ngn5vAX953/nrGhZGiguVOZMPf2UNXbbU1G4pICil+PdbOwwPmW/M+TrrNl8kRIhrvH1a1a5J/6qI\n7XfXzh6Lxd+bg6OH1xsOVdjw8LXjZqu3fGPywyfWYofDqmtOA78VYUXr1SL7ams9knSYIwjN2eGj\nwcrS4AO4EUDm2Koewj+AlbrBZ94j36I6PdRilAOrHNf/czVO/NkLxgIqvIfP9jmoNoomfSKR4cE6\nSjps0Nb8bvKwOtTF7A8BoHVNw8YqWd49fP6h64inLRVZlKpE2HnHKkK48uTRmD66P+avdF+wmu9K\n7zrUjepo2FKBWYRUjItuAvjcOcQSNit6cr+9fCpuPf9I7bwcyt7ASXf2GbrEcszBdTHHY/C4DRQ7\nwdepiJB0LZc1VnPhzY/MSLDuhLucyOMmz7y0fi++9cjb+N0LGwCYWniaUkHDd95vSG/0WJ0Qk4Sp\n1LqSmPk7YiwUz75nA/n8dcx038TH44dPvGvbxql3W18ZQVtXUp9pK0bpiBp+DwZtuXqfVq11x89S\njvkiUINPCBkB4AIA84I8juIg6SgOBr/VIb2CaCyYp7vw3d2W7cc2mjol2zchBH/87DQAZrZIp+6f\nOWhrHmvC4FpzA+G+x1Oq4en4CbtjFfPcyUPw6ekjBA8/s0FjjWEsrCAWCWHC4Fq0Z8g0mlIpqio0\nY36oK4maaNgSxshm4kYFg8+vcBV28HAG1kTRvyqCEf0rjcbC6Qrwnp+bd84etn56WTJFtPiZLcs/\np2HR4AcQJslzz4sf4qZH38FbH5kDkCwdCH+/572yGdc/tNryWzc5nj0DG/dqcxWMJIRC4+Vmntht\nZEbaEtapUn1x+MxRKKwusfkw/HXclmGeg9hrEcu8uaUdx9/xguWzycPqUF8ZMfL/ZJ94xV75v7fm\n2JUmbRXBxlsI2sP/HYCbAOR/dggHf6OYt+Hk4e93mG2ZTKtZewEAMLDG9Cj50f5KvaIyg+qs4bNB\nW+3LW8470uLdi3UgkVYNT+fx1c1oOWyfku0Eq+y/vuxYzJ7QaLkuniUd/XxqoqGMawmolKI/N0AZ\ni4RscesAP2hr3ZeWFtZe+1/4zql46btzQAgxIqNEz3VUQ5XFQIveOTtv1gjX63JCplTZ/gw+7+GL\nkk6gVR2/eX4D/rXKmjOITVjjPfg7FqzDgnet8wbcPPwqPfiAhdfe/Pgax+3cYA4Qu0/8GEBa1QYr\nKx08fEsZKqw98x0HzfGVTDOZs+Wg4TPbAsA1M5vwr6/MQH1lxJARsw3aMicuF7nOcCipnoa7yBY/\nMINPCPk4gL2U0ow5RAkh1xFCVhFCVrW0tOR6LOM1c7hYJeQ11tYOu+FMpFVLt9ypa3/DaeNdQ9KY\nhNSVUcO3xuEfNdQ+EGgpU0o1DMmdz6zH1zykYQVMb4dVqlw8fHY+1dEwupJpLPlgr23CEqB5YPwg\ncVtX0nId2UPCelyih08IcWwg6isjRqQVi2KwPYCgxoQ4wDltAqClxq4IK8Y5ZZIGctXwxXPgpYjd\nh7rx0vo9ecmXf9X9K/E/SzY6fsdCkrM16rzB4svEep6sDvMTpHjcZsYyXZrt3zLoS7UoneqKzB4+\naxDY9fzBY6Y0I8bP84hGWLzU/DgbAEwcUovqaBijGqqMhInmxCt9H8IxWJ3NpfPGejssm29InB1Y\nYII8+iwAFxJCtgJ4GMDphJB/iBtRSudSSqdTSqc3NjaKX3uCNZoKAfbrxmmAbjQsHr6LpMM/tE6e\nXlU05NqdNQx+0mrQxnAx3MzD5/VrHrEx4TV8wL7ykxvM22H7552JbPHM7Hs28MpCTq954A1c8IdX\nbGMJWveUD6tMWAZtO5Np7D7UbQwkdyXSxqLRgD5oK8ghYYUIEVe6pEPtD3VXMm3cWz51A09XIm0Z\nTM40mSzbjE4evk6JvRReivjN8x/giw+uwq+e+8Dzvt1YuqEFdy/KvJ+HXt+W8Xu3SUpf+usqy3ZH\nDqmFE+4avm7wqV3DZ3H4Tho+D2sQxDoBmDOZnbAtRiOYa7GhYT2JK08eZTgh5sQr5xNkly2Xhps9\nV8agbZHjIgM7PKX0FkrpCEppE4DPAHiJUnplEMdihicSUtCm63IjG7SWPavBT6uWiTROnl5VxB4r\nz2ASiBhn/r9XHY/jRvUDYBp8s7zO+zrzqEG4YMpQfHn2WEsj5BS66QSzySFujIGRzftjnqnTHIPm\nA1027zilUoRDBC9+92MAgFOPaLT0pu5e9AFOvvNF49resWAdxt26kIvDJ0YkEuOsSYMt75nBF3Va\nSjUD7RT5AZieWmtHAvWVEVTrxsbNqE8b1c+WzC0TfF0QxyF4D5/NLVjyQW49V790JNIZjZJ1UN+9\ntyN6xeP08ElXD58Z/DTz8Kklxw6l8KzhOx1jewYP3776mPV7cRCd1evxg8xGzTbxivvJA8u24E9L\ntGi1nCQdbllTt6U0C0lZxOGz2Y39qyrwjdPH49pTxuDiqcMBWD0wfhBWVSk+N+91PP/+HquH7yDp\n9K+uQGUkZBhwHmbQmDFhD5xCzLBINmjLED0J9q4uFsG9n5uG/tUVlnLHPE7QSBvHhuU/oMlZLF/8\nL59dj1l3vWT5LXtwmNGuFiekCZU9rWoe/rjGGvzz2pPw68uOtUWs8Ps19qM/AITYvTnxYWfXtlPQ\n3uMpFe/uOITG2pjteIDZ6G7c047xjTW2c+G5/rRxePzrs3DkkMwyG48lSsfm4ZuNCuuZ+V3n1ytX\nzRhtC+3LNNuUbzgzRiwJ4y0n6evXumUxtXn4adWos6zH4xaRxmCSTqfw/NXFnFOQM7IFsYn1j9WF\nWq5O2Fa84noJP3nqfeP1a5taMf2O5y1ra3znkbcdQ0EZcc4RVFUKRSF4/tun4iXdUSo0BTH4lNIl\nlNKPB7X/DXu06II/fPY4DKiJ4kcfn2RUTrdB2+5UGss2tqLlcNxieDoSaTy0wto1HtVQBUII7vnM\ncbZjE0IQiyhGz4DXqHfpFWF4vypLCJabh89Xzdw8fG0AmhiSjnmgZRtb8d3/ewerPzqAexdvslXS\nTB6+tm97qBprlGaOH4iqirCjQRAlMjYArS2yLmwvXBdm8D8Q0lXs74gjkVJx3tFD4AQ7l52HujCy\noQoVYcXSi+OpCPnPYWLR8IX9btEjSg50JPCWPrifyZt2Y03zQfwmixR05cmjbdc804xqy3oMepks\nUWrEDGcdx+W3Ydu4xY2z68EkxWRKtQUzDOYmKTrhpvFXhEMZPWun3h+PGDXFenuKQoxjGmGZxHkf\nPPvaE0YqEQB4/K0d+PGTa123Nz18aky8mjC41hL1V0g8G3xCyAWEkJsIIf/N/oIsmB9YzpMTmhps\n3/EPJ+/h8zdV7Gb98Im1lso9eoDepXWx1JWRkCXeVjsu8K2zjkA0rGBcY7XFYxf3c8ZRgzB+UA2u\nP22c8RlvDN08K5G0CqEnYd+GX4rO+lvr4iPZPPxUmtrOw2kQtithnQ/ABlgJiO28RA+f7e89Ya1h\nVpSh9ZqHz6c3iIYVdMZTSKRUHO5OGfH6tS4eptdr61ZOUcO/7+XNALTJaJRqZdvXnnAc+M7EhX9c\nhnte2oi/Ld+Kz8173XGbCYNqbL2qc3/3iuPqbmmVWuo/y2NjCWTQK29XIo0xAzWDNLCmIus6Bc4e\nfggK0VY107ZRUF0RsqRR4Kk0JB3r59GwkjHUVYzSERsHsUHgGx4WOszwmiso20AxXzZj2Ua9LMWO\n0vGUuYsQ8mcAVQBOgxZTfymAlQGWyxdPfeMU1xQEQ+pjGFgTxb72OLbsa8emlnaMa6xxXZyZUVkR\nQqJL2yfTip3CCAHd4CetUToKIbhs+khcNn2k7RjibvpVVeCF71i7eOFQZsPthEqpZdq/Uwy/W74R\n9lCFDIMfEr63D9qKBt7R4CdVNFRVGMYmyUk6IuJH2YxxRVjBylvPQGVFCJ/93xU4fnR/PP/+Hhzu\nThmpik2DH3Yc/M7N4Juvnc4ZMGPjWU/qL8u24DtnHeH7WGJKkG+cPh5/eGkjBtdFXSOdnNJi/O6F\nDfjDS2aUD/Pw9x02GwFWR9u6kqgbGsZ/bpiFQbUx/OQprQxu58rqzOHuFCKhuDZTPKRApWbvO6QA\nq350li2FNYNp+OJs3kiIZPbwhe9E+Yd9/4VZTVi+qRWD6kwZsK4ygp2Hun2vR2Ez+C7bWeQ1qj0z\nvUXDn0kpvQrAAUrpTwDMADAyuGL5ozoadk1aVV8ZwaofnYlZ4wdgU0sHzvj1y1i8fi9u4x4kp5tQ\nySVLYy2/W+scqwjZonRE+MbCiyfBe25Thtdn2NIkLUzddhqPcDP4rNxOIZ2A1cOf98pmvLH1gO16\nOEVYdCfTqOIaD2bw2f6nceMi4uV1MzDG8RQFg+piqI1F8NQ3TsFtF05GXWUEbd0po4FhBv/Ls8c6\n7iNbuKATligdh3MGgFa9J3P1jNEAgOH9nMcb/BBWCK6dPRbHjeqHP1yhTfhj14gPkf3Fs+ttv138\ngTXtgmHw9Yapf1UEqTRFPJXGrrZujGiowjEj+mFIfcyUdNw8fP1efv/RNZh+xwvY3NJheX4A7X5X\nVoRc5UkWxSM+GhVh+8IhPOLzJo4BMOP8tTnjsOhbp1q+q9M9fFvKiCzROHYZyXl7PjKOgvaqOHwm\n+HYSQoYBSAIYE0yRgoE3Hl948A08/pa57qxTZIDzotbuHn48mcaOg13GiL7Ya7BILR7Ky0e8eA0O\nSKtWmUXUvgH3eHNm0Nk5HjmkFt8/ZyJu0/PQ8F7NHQu0TBnidXPSeDsTKUM3BcxeB/vl41+fZSTR\nEhtCp0HgbN/XxcJo604asgYz+J89aRQ+/Nl5+ONnreMwFxwzNOMxnCAZJB0GcwA+cewwALn1JER+\nfOFk1FdG8MTXZ+HEMQ2W/fJjFAscFmoZLAxwM4PPeiLD+1cinkqj+YAmRTVxaw8nPEo6bELi+t2H\nEQkRy4pmdZWZB22rBD2dEc2m4YseftzZwxdzHgFaXQGsjoYXB9yrh89r/ZTaQ5mLgdda+DQhpB+A\nXwJYDWArtNj6XoPTDWc4STrMc/gu1w130/BjkRDe2HoAs+56yRg0Eze1SjpePHze4Huz+KqLRsjr\nlm5ZMFkl5tNGXH/aeAyp1/RxJx1VLJebhs+nlk44SDrseti8uywevtPxamNajhTRw2fb87rtf26Y\n5artZyKkmHmA+Ik0vNFNCUYyHysRRh3Ol12jIfXOPQimcQ8SBk2Zhs88/OH9KtGdVI00BqN5g697\n+G4NMF+3WSTbwa4kzjhqsJG8cFBt5kFbU9KxUhFWMqZoFr3tw90pS+4cVq+devFGgIKwJgW/R9ag\nn3mUGTIsPgtujye/NgLLlunWIywUXg3+3ZTSg5TSxwCMBnAkgDuCK1b+qQibEsKCb55iefCd7ErL\n4Tg+c8JIfOOMCcZnmTx8cTBU7CaGfRt8cxu36ePxVNqirYuSDuMILm+Pm8FnlVg8R/Y+rVLc8vga\nnPu7pcZ3uw9Zs1TyZf7+OVpce3fKmrrC1PDtYxridXHKtWM9noPXVqmldj7QaTf4gGlYAOt18YNC\ngIevOxlXnDjKIl1cfsJIY7yHGRomYWRLAeCFTL2EcycPwd2XHGP7nBlEMSyS1/CrK0IYUBNFZyJl\nTHIa1WBG6bB8SKJMw+DrzE3nHImfXjQZ//M5TXI6feIgAPYBUhG31AuRELEkz3tw2RZLHRSva1cy\njUn//Sye0dNKGAbfwdA6RaQRWA34pGF1OG1iI+65Yip+dMFR2jFtk72cYakqomHFWHO72B6+1+WW\nlgOYBgCU0jiAOCFkNfusN8A8/EhIweRh9ZbkSU5GMqVSW/fSVcN3eBAyefhe7jlv7Nw0zIk/WoSJ\ng2vx7Lc1bVIbtDV3/tvLj0VHPI3n9EgJwH22qajhM9iDklJVzF+ppSiuCClIpFUjDz6DN8An6ZJD\nIqVarkUqTW3nb3j4QpmySTpO3lJdLIK27qShofcTDA2/Kliu6WkVQnD86AYcP7rBSAMNaA82m4/B\npCvDw89DegWn+QSsAa2qCGOqwzyRtEoRCdkH8FnD3x5PojYWQW1Uayi3tXaiuiJkyR31q08fg/9b\n1YypI+37B6wN9fhBNZgxboDx/mefnIIZ4wa4/pYxaWgtRg+owtD6GN7fZUZlVYRDlvGj27i4eO38\nnPf3wrq9OG/KUDPdiMND5zSWJn6WSmu95qqKsNF7ESPW3DR85kRFQgooNDnVLTy4UGQ8OiFkCCHk\neACVhJDjCCHT9L850KJ2eg3MGLEHkDcWblKNaA/cZCEz4Rg/mcPdw/cycMNvb1uBh1tFiNfpRQ//\nk8eNwJUnj7YYXFcP30Xr5D18xvD+mszTIQyQ8R5oNGwd9L5kmrb6WDKt2rwcMxWEqOHn4OHHwmiP\np9DaEUe/qoitl8Du1aiGqpzT0/LlZPcyEiKIhkOIp9L6WgqaJYoakk52gz936SYsWrvbdTnKYQ4D\nv2ywNqQQ2+pbgNmQi7II07q7k9okqZpoGPGUio/2d2J4/0pL/R1UG8P1GfJJ8QPGfEMBaNf709NH\nZg1UGD+oFi9//zRb8AXzjt3IlOMf4Dx8h3vN7qNTriYGL5My+U5MkOcalskmM4a0tCqtHQkMqCnM\nimhuZPPwzwFwDYARAH7Dfd4G4NaAyhQIzFtkDyDv3bl1s+yGyXnflfqswsbaqNFVtnn4/MIHHlp5\n3piJxuKEn73gGIaaTDtrhHwjcDhueviUmr0YU8O3/jbssBDLgOoKxwk+fCMVtawQBlw7ewweW92M\nRFq1efLsmOJtyG7w7edaG4uAUmD7/i40OERusfvvZyUxkZCl8TaPG4tooYgpLv6a3Wsv4zA/X2iP\nruFxMuizJzTineZD2NceR3U0jHGN1djEJT9zSmgGmJJOPKWNsbDeQ8vheMaZyU7wspnXWHY32HWa\nPWEgxjXWQKUUb2RoLFVVSzksbqJ6MPjXnzYO72w/iFOPMHN4iZJOSqXGM8Dqt9hbEvP38L/VfqcA\noNjfkbBJjIUm452llP4VwF8JIZfo+n2vhRkP8T/g3N0Dsic5YzBJZ2CNaQgzyUFepASLhi8YC6e8\n/oAWESPOkBXLYgkVo6aRNTV8wcM3FmKxV+qr9JBDs8zcZDGhQWXnk8nD9yqhOR2PUVepnf/2/Z3G\ngCEPixgS12H1A18sVvaaaNjo1cRTqhGCJ2aSdOLKeSssYwtuOOngpx7RiD8u3mikhhCvGXNGE9zy\nmrXRsGHwu5NaLik2cLmvPY6mAc6Lt7uRTyPGrtOlx4/ARVOH4ydPvee4AA5zVthkJlXYhl1uZnSd\nqtKRQ+qw9KbTLJ+JjzgfSsnutddBW3YukRBBSqU42JnEgOrMg9dB41VQWkYI+Qsh5BkAIIRMIoR8\nKcBy5R1muJjHFbFIOsCS783B3754ouU3XgdYKg2Db95MsYLx3m82z1Urr7coHT6/T6eeHVKELws/\nGYTvDot5eBissvOSQFKlmD1hIG6/6GjLthZJR1ghjHWHkylqE+vFqe1ecfPwAS0kzilDY31VBPO/\nfLKxcI0XVtx6Bt744Zm28gLWgT92zt3JNJKqirBCDNkorVIs3dCC5gOdNs331Y37LOMsPNm85xPH\nNOD1W87A+VO0NBNinU3rg4WL1u7C6AFVeO7bp2LqqH6GtNedTCMaCRm5ZVrbE55zN4llvPm8I339\nzgmzHmrnEVaI4ypi7COV2sfaAHMgVVWpLQtrNvijpVQz6CAcsj8LgLvBN5yoEDHChIst6Xi9sw8A\neBbAMP39BgDfCqREAcE8TvafN6ghhaBpYDWmN/W3/MarxMsqBH8zxQrG68XeJB0+Ssd5G0Ks3kZH\nPOXYHeeNAL8935CkdQPlNvbAe6jdibRjY+iW/4dfsDzpJOkQ63+vOGv4msHvFMJBeWaMG5A1aoRn\ncF0MjS5hhewYZxw1yJCL4ikVqbRmaNh5x1Mqrrp/JU75xWKMuWUhVn90IGNmy8uma2Mec47InjJ8\nSH2MazQFg69SPL66GR2JNLa1duKIwbWoi0Xw9vaD+MIDK9GdUi2SjpY91t9ktEhIwda7LsBXPzYu\n+8ZZEFN8hxQFXfocF54P9x42tg8Rgn9fPwv/+NJJRmpnFr2WUu0pQDJBYKYx332oG9v3d3Eavruk\ns+SDvZYwzNc3t2KDPr4WURQjpUixJR2vBn8gpfRf0FeuopSmAHhfMaIEYK1zJIOGHxMqutdZcWyS\nTU2UW8VK9JT5hFseYnF5acVtYKoipFi0WVcP35JuwSrpMNweDKdK3plMORpn/rz4aASFmNc/4WPQ\nFgD+ee1J+OxJo+wHg3MGRibpAOYAbZBMH90fj399Jr5z1hGG8Y8ntdz/bOEbANgqjHl86n9ew5hb\nFjqutwoA5x09FLeefyR+/InJvsoj3pffv7gBrwmDwCxiZvEHLehOpC2SDuA9O2sQmJq79p41mB+7\ne7Flu3N/94q+vVZHp47sh1MmDMSib52KaaP6GSGRzJHxDLfpx//wqqUM7BkWx0Ne37wf1zzwBk75\nxWJcft9ytMdT+Mzc1/HwG9v1cyHGfIfeYvA7CCEDoPd2CCEnAzgUWKkCgHmDUSdJhxkchVhy2rh1\nA/lZiICZvreGSyEgGi/rwtf+NXwx5p6di7jYc7WDjMGfx6pt5uLXvNeeTlPHB4M1POu4ULmuhOrY\nGLolfFMIMfaTTKsOYZl6OW171DJx/vyTU3DR1GG23zjN3uQnUlUWwHARQjBtVH8QQiwefjKtSzr6\nye51Waay1WW1rmhYwXWnjjMasBtOG++pPGK9+8frH+EJblY5YO2J7u9MIMZJOoBzmHGh4HNRAWbP\n2EnWeWDZFrzTfNCWP6euMmJIVmJCQS+wQVhmpMX1scXnkGfFlv2458UPLZ9FQoqxHkWxNXyvw/Hf\nAfAfAGMJIcsANEJLoNZrYN1UdvNFSYfBe4hOjsHi782xtdLteoXj5RQ3LRzwNmjLG2lVpfjSg6vw\n6sZ9OP3IQeY5RUKWyteZsOatMY7tUuF5SSeRdjbi7DN+YllXIuXYGLLzuv60cbqx0x5ghVgjHERD\n7CZHWLYR3tdXRhzLW8d5qm4ThXJlQHWF64A5YNaxbsPDNxe+ccprBJhGpWlAFbZyKzvxM5633nWB\n5zJmcmb/c8MsANa6v689jpjNwy+mwbdG1WQ6n58IMfmMuljE6FHtOtSFBh+6OQFsM6lYEdwkHR6F\nAHOXbrZ8xjtvxfbwvRr89wE8AaATwGEA/4am4/ca2EVn8ohbWCZvHJ0MCr90IeP0iYOwYM0uHDOC\nTwTm7uH7jf9WqbmM30vrzSRY0bCCZJpi+/5OVFVoi447efhuh2NO07vNh/Dwyu2Ok2PYdeNXzOpM\nph0bEUWxGqdoWEsqpxBiSDpplbpq+JkcMbExcEuWx3v4+TZcC2+c7breK2AOVGsevhbOx86tM+ks\n3bBV2GaMG4itrR8Zn+eaZMut0RxYEzXqpzjHIxpRLM6Kn/GNfHPqhIF4af1e4znLJXy2NhbG1tZO\nXHTvMhzoSGDKCG/JBwGXLK76Z2Gjt+FepobqqC0rq9l4w3WVtkLh1eD/DVrs/c/191cA+DuATwdR\nqCAQF2lwzQvCJznz2BX81LThOG/KENdMlEDuDzBgLiJx7uQhWPSeObMzFgmhrSuJ2Zy+6RSZ4hZt\nxAYNV390AIm0it9cfqxruflF0Cm1x+s7UV8ZMQy+xfjaJB13Dd/4ifCVWxgjLyV5kc78MLguhsF1\n7lkvmYf/5Ns78djqZgzTB1MVYl+1i8F6Tic09cf8labBz3UKvls1e1L37gF7+oxYOGRxFE4aa19X\noooIA+oAAB3jSURBVFBcPbMJnzh2GAboEW+Znik3mNT3zvaDCCnEJgdmQ/TfWZoULx5+Q3XEdQ3q\nfpX2iYCFxuvRJ1JKr6WULtb/rgPgP7l3EREXaeCNAZ9ugPe+vWp/hGhTr/n8OTYPn1grjR/YCP9E\nYXHpipBi0zad1g51a7jYmqvMi3JKJMa0d3ERdC8GiWnFWrIxxZgj4BqHn2FfYm4iL3HrxwtRV0HD\nNHxmuHfquYZCCrGl7WWwcZQTmhrw60+bDW6uDgK7lnzys5vOnWiZtCVOzotFQpbjFdPDJ4QYxh6A\n5bVX+MH8tEqN9a09HR/EFj3Fqqtp8N0bof4OPc+3PjpolKXYeDX4b+kDtQAAQshJAJYFU6RgYPHq\nsydoYW7f5JKitXHpBqyTanweJMNvWUPiND0+GyyzoTjTMhpRbJXPOSzTeb9zfrUEh7uTlgkiIk4e\nvrZPLwY/apQTMA2J+FP2PpPUJc5mdEu2xeM0MzVIRAmJedIKIUY0zl+FuR5Ms1YUggs5T9RXZAkH\nuy9NA6rxjdO1gd5kynrtxMl1YlROvsc+esIFU7T01W5hsU7UCtkvR/kx+PpldwqZrawIIRZR8G6z\ne7zKzHEDXb8Tl/ssBtly6bxLCFkD4CQArxFCthJCtkBLpnZqpt+WGseM6Ie1PzkH50zWJqiMbKgy\nHr42bkCSN2R+tXbekIle9blHD8H1p43D/31lpuf9zZ6gVR42K7KuMmJ5OJ2Wf/Pi+fKsaT7kmkdH\n+8yu4QPePNCB+gAVM4TM4LvPtHXfl/j8eVm4JNfkaLnCh6KePLYBr/7gdABWD//YEfUW75s5fSFi\nXb0qZ0lH30UkpBj7E50CsTER4+4LEc7qlZENVZg0tA7H+tDhxeit0QP8pf2i1LqQCrta0XAIx4zo\nh+1cvL3IjWdOMOZQiOSSijvfZHOTcl54nBASA7AUQFQ/zqOU0h/nur98IKYdYAMobZykYxlc9fnQ\n8VuL9nB4v0p8/xx/MxH//qWTcME9r6D5gDbppDoaQk00gu6kphFGwyHbAJLToK1TSBtjX3vcMAhO\nXiXLlilKOl4uDZN0mCE0PHxhOzMs032n4mxjL0YpWuB4cv54A2uiRo76EDFni0bDIUtDpGaZ4ewX\nVmcjIYJheg9H9I5FHbmUPXxAuxZOcsiZRw3CC+v22j7nI7UqQopt8ZdMEGga/kHOCeSdt+qKEHYc\ncPbUf/+ZqRn3HStypkwgey6dbT3YdxzA6ZTSdkJIBMCrhJBnKKXOKzIXAaa38RkkeUPm95njK0ZP\nk0gxQgoxBvaqKkK4+9Ip+OKDqwCYUTo8TmGZLJ3CJ44dhm2tHVjDdUkPd6e0BcmJc48m7CLpeBnf\nYJIOGyhnuW3scfjZQ/AMT1h/+L30ZArt4fOSjsVb504sGlYsA8vsvOx5hHIrg5GSIKTgkmnDUV0R\nwtl6r9bct+DhCwa+mGGZTigKgThOeunxI3D3JcegtSNhm7zGSzojGir9zbTVr5/TQvCAFhQhxv0z\nxjVmzs+Uj1XPekpgJaAa7frbiP5X/FELDqfkWhZJpwcefr7Ywy2TVhkJ4/QjBxs9FfFBBZw9/KQu\nx8wYO8BYmITx1Ds78fSana7RA8agbcr/oC3LVtmuR6iYGr71t15y6Yjx2U7RSCKFfsB4SccpHXZt\nNAxFIZbtzFQC1n3lKumwn0X0NBnnTRlqX3tYeC8O0hY7Z7tIWCG2hU5q9GvZWBvFaCHZGy9R+dHv\nGZSaAQ0isUjI+O5YIYw52z3Ld9RYLvjLg+oTQkgIwJsAxgO4l1K6wmGb6wBcBwCjRjlPoQ8Kp8yS\nvOfq5C1nIk9OvQW3mZiA84PpFKXDJJtoWLF5vSu27Afgrv27afhevCY2gMxyr9dXZZZ0Mj0wbBCN\n3R8vskOhDT5/bcMOejw7f75cbul7ey7puJ+7GKXD8s/8+/pZWLqhJW+903yhSWLW+pepF8IHLvjN\n/KlJOhQHu8znjr8clRXmdb18+khEQwpWbtWeoVyyuxaaQA0+pTQNYKq+Hu4ThJCjKaVrhW3mApgL\nANOnTy9oD4BV7Glcxkn+5jrlasm4vwB8/IevOxmtHQl8uOcwjhpaqx9Hw8ngO3m+TPaJ6vnanXAL\nGVMUAkK0/DCWzz2cKpu9yQad+1VqHr9bbyHTLtnzbq7wVHqSDkuvEE+plogn1mgaPTPOA2XX3ZZs\nr4dx+JnWThUH55nWP3Vkv6wrUxUDRbEnEMyU72fMwGrceMYEtMdT+MKsJn8H0y8bP2bFP9eb9poT\n72IRxWLkxer2tTnjcM7kIbj4Xi2gMVICPadADT6DUnqQELIEwLkA1mbZvKCs/q+zLMaDf/D8xiMH\n4RhNb9ImwZzD6bDMNDtlNXQKy0wYHn7IErFRGw3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- "text/plain": [ - "<matplotlib.figure.Figure at 0x7f8a3318c860>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(betas[1], label = 'EWMA5')\n", - "plt.xlabel('date')\n", - "plt.ylabel('beta')\n", - "plt.legend()\n", - "betas[1][-1]" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "5.5351217701100399" - ] - }, - "execution_count": 36, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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L/cq5IzGyWlZOp46rwckjq+DQWaHcF8qt0xInt9yTV+7+oITWXh8adCUMYoVu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\nUiAVdxGRAqm4i4gU6AcfyqPS7pOq2gAAAABJRU5ErkJggg==\n", - "text/plain": [ - "<matplotlib.figure.Figure at 0x7f8a2fd0d160>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#now look at spread rato\n", - "spreads = beta_trade.spreads_ratio()\n", - "spreads['ratio'].plot()\n", - "spreads['ratio'][-1]" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.9956105001477371" - ] - }, - "execution_count": 37, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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x3+sHC/7NS8nhoeQ8AJMq+ZFHJVBxhv22x7Zpj6//8wa8tndAt9Kv0CGTREyL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\nX16PtyM9bDZ86iy2cU1CXaCwdQ6VhG6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- "text/plain": [ - "<matplotlib.figure.Figure at 0x7f8a33650320>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "z = zscore(spreads.ratio)\n", - "plt.plot(z)\n", - "z[-1]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.1" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/python/notebooks/.ipynb_checkpoints/Realized Vol-checkpoint.ipynb b/python/notebooks/.ipynb_checkpoints/Realized Vol-checkpoint.ipynb deleted file mode 100644 index 69be93a5..00000000 --- a/python/notebooks/.ipynb_checkpoints/Realized Vol-checkpoint.ipynb +++ /dev/null @@ -1,139 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "import warnings\n", - "warnings.simplefilter('ignore')\n", - "\n", - "import os\n", - "import sys\n", - "sys.path.append(os.path.join(os.environ['CODE_DIR'], 'python', 'exploration'))\n", - "sys.path.append(os.path.join(os.environ['CODE_DIR'], 'python'))\n", - "\n", - "%matplotlib inline\n", - "import seaborn\n", - "seaborn.mpl.rcParams['figure.figsize'] = (10.0, 6.0)\n", - "seaborn.mpl.rcParams['savefig.dpi'] = 90" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import option_trades as ot" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "HY28Vol = ot.realized_vol(\"HY\", 28,\"5yr\", years = 3)\n", - "IG28Vol = ot.realized_vol(\"IG\", 28,\"5yr\", years = 3)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "text/plain": [ - "<matplotlib.axes._subplots.AxesSubplot at 0x7f3a9a7c5668>" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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uGCATEZlUoRpkt6hljdmoR3aRlhSkJAV+jwt+r4h4UoaiqPU+LGpgDJCJiExKr0FeOAdZ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E0l0geuDAATQ1NQEAamtr0dXVBZ/PBwCw2+149dVXYTab4fP54PF44HQ6R33M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