{ "metadata": { "name": "", "signature": "sha256:77f5dd9546398e9473f2624ec08bf1f3376c6b5324c142e36356fdce8cba314f" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "A quick - and highly biased - tour of Python for X-ray Astronomy" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Doug Burke, Chandra X-ray Center" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Presented at the COSPAR Capacity Building Workshop, 'X-ray Astrophysics School', Ensenada, Mexico, November 2014" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a talk presented using IPython notebooks - now re-branded as [Project Jupyter](http://jupyter.org/) - which allows you to embed code *and* documentation, and is being enthusiastically endorsed by the \"Open Science\" movement. In particular, you can send notebooks to collaborators to allow \"reproducible\" science, as well as being used for demonstrations, as we will see below." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The contents of this talk - where applicable, so not the images - are placed in the Public Domain." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "What is Python?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's ask Wolfram Alpha:\n", "\n", "![Python: snake](python-snake.png)\n", "\n", "Oops; let's focus on the programming language:\n", "\n", "![Python: language](python-language.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "-----" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Why Python?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![XKCD](python-xkcd.png)\n", "\n", "http://xkcd.com/353/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are a lot of Astronomers - and people in *related* (i.e. useful) fields - who provide tutorials, code, modules, workshops, and help. For instance, I saw this on Monday:\n", "\n", "\"Frequentism and Bayesianism: A Python-driven Primer\", Jake VanderPlas, November 18, 2014:\n", "\n", "> This paper presents a brief, semi-technical comparison of the essential features of the frequentist and Bayesian approaches to statistical inference, with several illustrative examples implemented in Python. The differences between frequentism and Bayesianism fundamentally stem from differing definitions of probability, a philosophical divide which leads to distinct approaches to the solution of statistical problems as well as contrasting ways of asking and answering questions about unknown parameters. After an example-driven discussion of these differences, we briefly compare several leading Python statistical packages which implement frequentist inference using classical methods and Bayesian inference using Markov Chain Monte Carlo. \n", "\n", "http://arxiv.org/abs/1411.5018" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "-----\n", "\n", "There are many examples; here is one I found that I thought would be relevant for this workshop:\n", "\n", "![Bayesian](bayesian.png)\n", "\n", "http://allendowney.blogspot.mx/2014/11/the-world-cup-problem-part-2-germany-v.html\n", "\n", "-----" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Yes, yes, I get it, how do I start Python?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Starting python for interactive use, use `ipython` (you can use python for interactive analysis, but it's not as nice):\n", "\n", " unix% ipython\n", " Python 2.7.6 (default, Apr 18 2014, 17:48:56) \n", " Type \"copyright\", \"credits\" or \"license\" for more information.\n", "\n", " IPython 2.0.0 -- An enhanced Interactive Python.\n", " ? -> Introduction and overview of IPython's features.\n", " %quickref -> Quick reference.\n", " help -> Python's own help system.\n", " object? -> Details about 'object', use 'object??' for extra details.\n", "\n", " In [1]: import antigravity\n", "\n", " In [2]: import this\n", " The Zen of Python, by Tim Peters\n", "\n", " Beautiful is better than ugly.\n", " Explicit is better than implicit.\n", " Simple is better than complex.\n", " Complex is better than complicated.\n", " Flat is better than nested.\n", " Sparse is better than dense.\n", " Readability counts.\n", " Special cases aren't special enough to break the rules.\n", " Although practicality beats purity.\n", " Errors should never pass silently.\n", " Unless explicitly silenced.\n", " In the face of ambiguity, refuse the temptation to guess.\n", " There should be one-- and preferably only one --obvious way to do it.\n", " Although that way may not be obvious at first unless you're Dutch.\n", " Now is better than never.\n", " Although never is often better than *right* now.\n", " If the implementation is hard to explain, it's a bad idea.\n", " If the implementation is easy to explain, it may be a good idea.\n", " Namespaces are one honking great idea -- let's do more of those!\n", "\n", "If you want to \"run a script\" - i.e. something that you don't want to run interactively - then you can just say\n", "\n", " python my-wonderful-script-for-suzaku-analysis.py\n", "\n", "and you can even make scripts executable and use a \"shebang\" line to avoid the need to say `python` (e.g. the CIAO `chandra_repro` script is written in Python).\n", "\n", "Note that there are several versions to be aware of:\n", "\n", " - the Python version (\"big\" changes between Python 2.x and Python 3.y)\n", " \n", " - the IPython version\n", " \n", " - the versions of various packages/systems we use (e.g. `NumPy` and `Matplotlib`; these versions aren't shown here)" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "What about R?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You should also be aware of `R` - [The R project for Statistical Computing](http://www.r-project.org/) -\n", "which is not Python (and you can combine both if you realy want to), but is important as Astronomy moves into the era of\n", "\n", "![big data](big_data.png)\n", "\n", "courtesy of https://medium.com/@wtrsld/big-data-made-me-do-it-5bfc3f46871c" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Terminology" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " - Object Oriented\n", " \n", " - Dynamic Typing\n", " \n", " - Strongly Typed\n", " \n", "I have a brief introduction at another [IPython notebook](http://nbviewer.ipython.org/github/DougBurke/intern-notebooks/blob/master/intro/intro.ipynb) but there are many other, better, examples around.\n", " \n", "Computer Science has its own terminology, just like X-ray Astronomy." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "Image('question.jpg')" ], "language": "python", "metadata": {}, "outputs": [ { "jpeg": 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oPStDMjaozTz0qM0CEpRTaUUAPpMUoopANk4jY+xrOPStGbiF/pWcelJgWD92\nq8nJFTk8VA+N34VDYIham08n2phPtUDEpDS5ppNIoWkozSGkMd+FIvTHpSZpM4P1oKJKjJp3amMa\nAOC+KOprBokOnr8088gfbjoi9f1I/WvMIHkEZMY57nFanjDVRq3ia7uEJ2Rt5UWOQQvH6nJ/GsiI\nlVJMj+pQCu6C5IJHLJ80rmn4f0xNV8R2NlMfklkyw9VUFj+gr3eedbW0mnbG2JC57cAZrzf4aaM8\nk82uzxlVAMNuGHJ/vMP5fnXWeNbr7J4M1SQHBMPl/wDfRC/1rmm+aSR0Q0jc+erqUyzO7E5Zixq5\np7puGRls8etZ0h+etbwta/bvE+m238L3KbvoDk/pmt5GSPpXT4Da6dbW5YsYolQk9SQAKsHkU3NJ\nmuM6DY07ItQCSeTjNWj0rN025Xa0ZPIPStAngV0RehlLcaxqMmlY0wmqICnCmA08UAOpaSikMZcH\nEDVnt0q7dH9z9TVE9KTAstwKrOfmNTNUDdT9azYIiammnGmmoKQ2kpcUYpDEFBoFL2oGhtB6UUUD\nFzkVU1Gf7Np1zPnHlRO/5AmrI7isPxjMbfwlqcnTMBX/AL64/rTirtIG7I8DWYCXLc96W6vQIyqE\n7iMZqlMcOag5dwByScCu6RyxR9F+DoRbeDtJQLtzbq5Hu3zE/rWX8TJfL8GTJn/Wyon65/pXTWEH\n2TTra2x/qYlj/IAVyXxSRn8Iqy/8s7lGP5MP61xQ1mjql8J4a5yxNdX8NYTN460/0Qu59sIf64rl\nJEZHI616L8HoIn8QXs7kebFbYRcerDJ/T9a6J6JmUdWj2sEA9eKWot4oD9jXIbjjuRw6NhhWpZ34\nmXa3DDqKyS1QMzRsJIzhhVRlYUlc6VjTc1Ssr5biP0YcEHsat5roTuYNWHLTxUamnimBIKKBRQBB\ndn92o96pGrd4fuD61TNSxk7VAehPvUz1EPufif51kwREaYakIppwO4qShlJT/oDTTn2FIY3HNOxS\nD6/lS8UAN4z1o/ClJx0puaQxG4wfwrl/iE5XwRqJz2jH/kRa6duQRXAfFLUjB4ehsAObuTn6Jgkf\nmRV01eSFJ6Hi0zZNW9DjE3iDTYyuQ91GpHrlhVJioPWug8B2jXvjLTwFJWFzMx9AoyP1xXVJ6NmU\nUe/l6xPF9r/aHhTUIACzCPeoHqpDf0rTd6ryS5VlPQjFcKdnc6HqrHzlJFIHZSG4PpXefDIPpmvu\n1x+7FzblUDdScgj+Rqz4j8Nx2spu7eIeWT8w/u/T2qjazqYN7yBHgO5XI5B9c59genbHeulz546G\najys9jS4DdDUnm5FcZ4f18agnlSECdPvf7XuK6eNyQK57WNS4JM8d6UtmoOeveng5FACK7QSiRPx\nHrW7aXS3EYOeawyM0kUr20oYH5e4q4StoRKNzp16VIKp2tws8YIIq4tbmRIDS00UtAFS8P71R7VV\nNT3ZzcEegFVyaQydtx7AfU1CM+WuT27CppGwCag6Io9qxYxpx7mkJA6UE00mpGGaQmgmkJoATNFJ\nRmgYGmE04nioyaQATXnPxaW3bSLHc+JxOfLHquPm/XbXoZNcl470W11XS4pJgwlifCOrYwD1/lV0\n3aSYpK6seDsASeK7n4VzeXrl6APlNt6d9y1GPDtr5CuXVUdC+QhyAODy2F4+taXg4Wunw3Dwlg8r\n7W3HsM4/nWtSacSYx1PRmlBqNjkVnwXJcDmrqnIrlNiC4t1mieNxlWGCK8x1XT5rC6eCU4Qng9mF\netquaqX+jw6jFtdRnsSoP6GrjLlBq55voU/2fV7YIfvNt/OvWbQ74lNc1YeDxb3qzFwQpyAqha6y\nGHy1x2pSldglYkAoxjkU8LS7aQxvUU0rmnkbT7H9KX6mgBLadrWQd0J/KuhgmWVQQa50gHtmp7O6\naB9rHC9iT+laQnbRkSjfU6QUoqCGUSKCDUwNbmRQuT/pL/h/KoGPFPnbM7/WoWPy1IFiY/u2+lMY\n0TH5PqQP1prVkyhhpCaDTakAzSUUUDENHaikpDENMNSUxqQyNjWB4ny+ksvq4/rW+w4rn/FMEkui\nymMEtGQ+B6DrTjuBxunxKYZBuijYFwsrKoOMdmznP4H+lYunt5N5JGCcbtwznJB788+lLcGVoPLD\nYUtuzxnP1xn8qq2m9dTQsxYtwSTkmtpLQlPU9A05S0YNbKIcdKqaTBm3Q+1bCxYFc5oRInSrEa4p\nAFB68+lSIfQfnQMmUe1P20xc+uPoKdtHpn680CDI7c/Sl57DH1paKYDCpI5PHpTQApxj6GpDTSM0\nAJTWXI6UoPY0tAD7O9a1kVH/ANWeAfSuhikEi5Fcw6Bhg9Kmsb57WTyZDlMfKx/lWsJ20ZEo9S28\nmXY+pNM35ZR71kSavbxR7nfLegGT+QqjNq88hieC3kwrhiG4yKrmRNmddL0A9x/OmNSv95fr/SkN\nQA2mmlNFSMbQaKXFIBtIKdikpDEppFP4HJppII45+lAyMiopIg6lSAQRgipzn0ApCvqTQB5r4h8O\nvZu0kJUQnkbgePxArC0vSp5r5X2M2D2UgD8TivY2iRgQVBB9RVdLOJRhUAxxxVcztYEkUtOt3it1\nUgDAq95frk1KsYUYpxFQUV9uO1OUU4igCgY9adSLTqBCUYpaKYCUYp1GKAGMufrTR096kIpCO460\nANxUciBlwRmpeozSEcUAUVtYl6Io+gpfIHpVnbRilYD/2f/bAEMAAgEBAQEBAgEBAQICAgICBAMC\nAgICBQQEAwQGBQYGBgUGBgYHCQgGBwkHBgYICwgJCgoKCgoGCAsMCwoMCQoKCv/bAEMBAgICAgIC\nBQMDBQoHBgcKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoK\nCv/AABEIAUYA9QMBIgACEQEDEQH/xAAeAAABAwUBAQAAAAAAAAAAAAAEAwUGAAIHCAkBCv/EAFAQ\nAAECBAQDBAcEBQkECQUAAAECAwAEBREGBxIhEzFBCCJRYQkUMnGBkaEVI7HBCkJS0eEWJDM0YnKS\nwvBDgqKyFxglU2Nzg9LxRJPD0+L/xAAcAQABBQEBAQAAAAAAAAAAAAADAAECBAUGBwj/xAA+EQAB\nBAECAwUFBAgFBQAAAAABAAIDEQQhMQUSQQYTIlFhFHGBkbEyocHwBwgzQlJy0eEVI4Ki8TWywtLj\n/9oADAMBAAIRAxEAPwDMRSCB9LQspriyigT06x4pCgn2drwoy2VtqQkcwY5xgoqidVGVYorsjOuS\n8rMo0IcKUgovtC5x7ihoaly8u4m3PhkfnBiHqgxMLExgpMwnVs5w9yPfaCkz9JF/WsCPI2/VbvFd\n7Z+Y0/7irMfdV9lQHEtfczCbQmtZLsVxqUeWlpyabS2hKiBqKS6pN7i24uD0MRCrZfZaOErrHZea\nSmxuZOfZJPw1xneYpks/JIm5dgtocRdDahYpHhEQxFKBKlCw+UW2NkDftJeC9tFh1GXvZZnZsU6c\ny7rVHmDfS0Xyj5dD8CYHxZ2Nuy1j2nLk5lyqtodGlfFOu4997xkSSwvR69iWVkKyvRLKdOtd7adi\nQb9N4kr+WeGJdQRTq+FIttuIG6XLa/wkUi8kBA0SeEcMZdyNLkcJ4ZeMuxJyyGJaXZTpShtCQAAC\nNhYRkukKl6fKolpVGlKU2FoiODcvUU+aVUWpsO2Fk93l47xMJenuIsLfOCwMpvMQAT5KEhs0DonB\nudUrZJ5wxZj4+VhiliQpZ11GbBTLpAuWwdiv93n7oOrtTlMLUZyrT36uzTd93FdEj/XKI5gfCdQr\n9TXjTEaSp15V2G1DZI6EDoAOUO82eUJ2M0spbKvL4Ulr7VqaNU4/upStym/5xkaSkUpA2tbnCNOk\nkMpAAt5w5shtCBqt5mCNYGigi2bSjbQSkWP0hZkIQSq1z0gNU4gqsDt0ihOdIIKCSPW4AdjyhJb1\nt7wMHnHVhttJUo8kjrDxSKEsqExOAFQ5J6JhDVOkJGkTE+oLcuhvp4mH+QpTMukNtNhItBUpIpA5\nQ4Myew2tBgAFAi0MzI78od6NJpS2o2/WEWsSR/Zh0pUsEtKNuZibdSokK5mWttaCES9z7MKtMBSr\nfOCAylCCAN7RNNSDSx1SBy5xRZSBcnfrBJT3YRcPXp7oVJ6SS0p/fCRQL8vpBARcXP4RQauL22hV\nqnpD8DV16bRQl7iwgrhbXtFyWlHmn4GHAUSNEA5Km8VBrrSQe+IqHpDpaehtD7aXm7aVoCknyMXS\nrRCjpG8NGWFfZxDhkWvrlHC2oKtex3T+JHwiRNNJS5cDnzvGJE7maCgG7ITf/KqoycyplOGnnUJN\nuI2Sbj5QZL47bT/WsPTjZ/uwe1QqfMucdybfZc02+5mSj6QUKIhoakYhqCLD/vAsfUQRzZb0Kkws\nrUJlreNqJ9lesyeH5ibmNZDkutzh2Tb2h0V7tjvEDmcQVmvzDiE5WT3CGwWw08q5uNrjbkbxk01G\nWaYNsYzKUqFhx6cD+KYeMLVGhNNmXTX2Zh1aibpbDZPwgkbnA08fn5pSRl2rXEfn3KCUbKBpWIJe\nqyjM0JdoodcTNtWQsH2kb2NwN+VomDuA8OrHforP+CJUj1dfeDgMXpZQs3G8O4Mc66RWBzRqbUbk\n6BKyDKZaTlktoTySkWAhcyDEq0qbmlJQ20kqWtXJIHWJAJBJ32iB40qMxjWtnBGH3j6nLrBqU0g7\nKUD7APl9T7oZzuUaKbW2UwtyUxmbiX7RebUmlSa7S7Z24hvzPmf4RP5SnNyzCWwgAJFgB+EL0PD0\npSZJuUlmAlDabJFovqs3L05ovPrsAOnM+QHjCYzlCIkXpmXkGlTEw6EISO8onlDO/jJiZc0M3Sge\nzfmfMwz12YqmIpoKWktsJ/omQeXmfExVOwvNOEWQdzBaSBT4xW0Oi2+8PdHknanZWnQnqow30fCY\nliHJrmOSP3xKaS2E6G7aR4AQ4aSnukZTqXLyos013jzUrmYeZGTuQqEJJjiOAAbQ9yEna3dggFJl\n7LSg5kQcxKDbUOkLS8sEgG0FNS3e5Q6QKSRLkp2EOFOl7NkW6xahjyguVbKUafOJs3TlXIQEjYRc\nq3IdYuS2SecXKaINoKAlVIYtGxMJ8EqO0GFru3i0I6Q5FKKHSwodIvDW25hW1ukehF0wySS4VlXF\no90J5Wi/Rv8ACL0oF4SiQUM60VG+m/uioJWkXtYxUSUOUFc1qBUa7hdta6JNBovpSHQpsKBty5/j\nDrLZh5hl2yZmWXb9qVH5GD0Ze4kbmlyj9HmEJacUgqLJ3sbbeI84c5XB7zHd9SeJHP7pX7o56ON7\nQglwcVbSszcdtW4klIOeN2FD/NEio2aOIpmaalJ7D0jodcSlSkFQKQSASIb2KC8jYyDvvLKv3QQm\nmpZtqaKT4lNosAPTtAUgxXRppC1KblHVC/PhmGyjO/Zb3rs7T3VJaBUpu2kqt0F4b6hISU9Net1H\nW6+v/aF5WpVvMGDadLCUaW1JrWlLqLLBcJ1J8NzBSbCdodaem80MPgDVQqgjxCSk/wCaDpXNrCiL\napedT5Kl7/gYjaaa1fvI+kUqls9E7QHxjqrADU+YuzXZmqOZHCinkvvnSp9bZTwk9SL9TyHhzg/L\n6g0yjShk2iOIlKXHdtzrKrK+OlXyiIqpqOifhGR6LJaJp1xCdvsuWJ/+49b8YnA0vl8Sk6mt0Rjq\nvu7tNqNt7Ac4ZZ6izs++H5xs7eynomNUe1R6XqkdlTtB1vISudn2q1v7GblVpq8liBlkPpel0PD7\ntbXdtr0+0b6bxFJL0+uSitIq/Z0xsxfmWJ+Rdt81Ji93J6BVzkRbErd6TwyyVhKilP8Aeh9kaLTJ\nIAIdbUfG4jR+nenY7Kc8kKqGXOYknfn/ANkSjtv8MxD3T/TY9iWbFpqcxvKf+fg4qt/gcVDd04dF\nITwnZy3HmW2GSXFOICUpuTeNH+116W1OVuI6hl/kfh1icnZBZafrc/8AeNocB0qCGR7VjtcnmOUG\nZp+lXyAzGyvrtC7PON6lMYmXJFLDc5h9+UUwhZ0KcStY06hcAb3BN+kasZW9j/GeZeFP+kSu1lyU\nk5yZebQxLe0sA2uo8zfc8/xihmTmDw7LouB8KfxR/gAN7eWie6Z6bPtc4SxKzOzGI6HWJTiJL8hU\nKE0yhQ6pCm9KknzCrx0C7A3pRMne1+GcF1Z6Xw5jNaSWKJMzSSioAXJMss24hSObZssc7Ebxzaqv\nZOwPIzDsnU2HHEpO4UvmR+cY/wA1uz67gPD7uZmTs7M0yoURbcytLLpBSlKh/OGyDdDiDZVxzAN+\nUVoM6MvDQTr5re4j2RzMfHdLQ0F6b/3X0NyzJIEFNtAbxi7sWZ1q7Q/ZewVm7MD+d1SiNpqadV7T\njX3T+/mtCle5QjK7bayfDzjZHiAIXDEFji0q4NhI8+cFSbRWjVCaWirYiDpJnSzy67xNopLdWhkX\nuI8WlI3tzgjhGLS15QYJ0M4k6bAQmlk33G8FLa8otS2BElElIKaTcRWi+wELKSCeUeWAFz8IiQmS\nKkEGFENge0b+UehI5CL7WFrc4eklYUD90VFxtfe8VDGrUKK1hruNKZhSRFSqy3kslWkqabK7G1+n\nujA/aE7NnZL7aGIJDG+ZFTxM1P0qnKkJaZodamZBXBUvijUG+agoqsfAkRmOsy8vX6S/SZsDQ+3p\nBP6p6H4GMEyNUmMCYynqRV9aZXRYhKCopWD+HP5xnvc6NwIWO2Q2oPN+id7LPDJwn2l84aQvk3wc\nezZSD8RGUuyd2RKT2bsVTlcku1PjnGLU1ILlxSMYV1c+w3dSFcRKXBcLTosCOi1De8HUDMDDjj12\n5p4JvzMqv90TTDdbmatOa8Jzs16w0i4Ms2oLBJ26X+UFa8vG6l3ruqkFTq8q0/oNTw6OgTMIQkn5\niPNFX5IpOHnB4pCR+YiH46zD7QrlRbodWxBMiRc2ebrrRbSEEi6klTZKjz7u1/EQTRKu202U1PEU\nm+vV3VIGmw+MDcxvNuiMneRoFOZtiksUxT4w/T3JgJuUhzQm/mdW3ziqBJUacllO17DcrLOBdkIY\nmFKBHjfUYgVQm3cU1VFMQB9nSywpVv8A6hwcr/2R08TEnRMs02XCEcyNk2hg3mOmyP3rmjVSRdIy\n9G7stp8fvlfvh+pspJPocmKeQpj7NbDZHUB+3+aMdttzM8C8lpZQD3lXsB5nwEZLwDLtPYTafl1h\nxPqDyNaNhdMyz++CRsAdamyYvNFcY/TOUgSPb5rrobsJrDtHf36/zUIv/wAEarzDSTY9LRuh6c2k\niT7bEvPJTb1vAlMXcddLkwj/ACxprMNEKAEaLfsrLn0lckpZA0aB0J2HWFi2EJ1vOaRyPnFiSthl\nbqB3k8riAnXHXXNTjhJv1iVUhgEqednXipx7OS0o1xHn5TQ23y1d/lfpvaOnVYoyOz/2cqfRa3Up\nd94SYmppSphDCeItIUUpKthYGwvblGgnYKwxhvGGZVcw9O0pl2sKk2HqE+detDnrCWlIFlBIbPFQ\nXFEGyUXHIxvz278H4TOFTUsSuyakKaDIZmmkugADT3EK2ueV/wB8cxxZ7faCK8l7Z2B4fJ/hscwI\nPNzV7wSKPl0PuIWvysc0fGNPcxPJSr8vKKWUqKnUOgKseSkEg8vGGvCq5bGNNq1KlqbOFl6nzDKh\nNsaQsFtQNt9xHmKMC4OoGSUnhrC80htmoOrmKogziOK2+pIshQBASdJFk7HeK7OOX0jQH1V2hTSy\nwmXW88208tYfSEG4KVE2Ow5RkhsY1Hnou+zWZRiLXAVXi/Nf0XTX0QeG3qF6PvASXmtImkT0yyNV\n/ulzjuj6J5Rs61Ld4ExinsF5a4hyq7HeXeBMVyi2KlJYbbXNyzibKl1PLW+GiOhSHAk9bgxmJthR\nOw+EddE2om+5fP0/7d3vKSS0B0g2UbAa9mPEyxEENICGwIK0IZ2VnDFr6YTcQN7CCHPYBAgd5QvY\ndIIEyHctvv1hMkCPXVWJhNSttzDplSlXNrxR5cosCvHf3x6pVoZNqrk9CRFxT1MWoVci+0Xm1reM\nJOvFJBO5EVFqgOYMVCpRAC1AqkxMUKfcptUbLLzSrLQo/I+YPjEFzIoGFqhP/wAraziKWp7DbOmb\nW+DYkXINxy25+6Mx5kqoOZVPU3R8M1WZn5RzhsTNNaacO59kjWNaFHla5vy84HOdnLMvGFEfpwy6\nxMtl9Cmyr7HUpI2I5pJ5QsiCLmIYbHRc3GZS261WMTjvA9HeMpIUqrTrIALU9T6aHmHkkAhaFBy5\nG/gIkuE8S4dxBKuVGn1ByRLDoQtFQbVLOA2BuATunfmOoPhDLT/R15uU9kOPYKql0puVvUWYQP8A\nliQUfsD9oBUjOSdHw4+yGUcV5DknMtKWLbBF0WWq3QbxWEPojAy+SOVUZGrrDa8ZSc0U7DiVMLAH\nxJtHsvJUyYmFy0vXKZxEEakqnkD84htZ7CGd1CcVNTODKlexUtYp82uwHMlQaNvjDfSOzxmFSTMV\nZimMTJZY4ilMOElQ0axbUBc6egvDdySapEEr2CyFl+h0h1klAmZZS1bpDUwFFXygx2SmJdxL8xLu\nLSUlagk80jn+XOMY9m7EFQrmbzGHZ1t3V6u+NNu4kpQg2J67LSfARljM2luIw1TJlK1pDVfYS4Eq\nICknULHxF7H4QQQ0Aoe0CRhd5LD2YOZtVxZgqRqlA9YprbFU4c4w1M31q4aynUettufWNoOzk+Zv\nI+kTLput2VfSolVzchlzn19mNNalg2abw5jtlDN25isy3BTfa/BebI8t7Rtn2I5Ccl+ythqUnk2d\nlgple9+cur/2wUsVbhb3Pyi525b+K5qenypXq3alwpUUJI9ZwC2L+OidmR/mEaLTaNIDitgBc/KO\niH6QXSODnJlvVAj+nwjPNXHiidB/zxz1q7RFPWoKt9yrf/dMGYPCrOR+3IWfUei+7SEzLrEtXsDL\nUq10fyqAKFWBKVXasFDkRfY7Q1zvow+1RKuWRL4ReH7TOMpYD/j0x1OyhrVfouUVNxJJY3l6XKzE\n2tl5MzR3JpKlr+8Sr7tQUn2gOo+cO1RzV/7TmcPy+dVDNQEmkplf5PzC3GVIXoeeKQo3bJCgOg2N\nz1RcGnVaEeCJAS0E0LNdB5+5cmJLI/tZdhrE8l2o2aRQmm8OzraXltYglZ1C0TB4HDcZac1ltesp\nJ2sSDcWjdftyYZxLmfKUOq4Zdl+PLLQ61LzYUqXU8tu6C4EkEpCttjsVA9IxH6WXtQjGipXsr4Sp\nMriSp1cssv1iTWqXZZUt5iYQ2lJ1WKC0NalkWCiLXTc7F4vmpSm4DlpaYbanQ7Qpdp+yra1oZQlS\n0k+JTfpHM8Znhe5vIdQTa9i7FcH4nwdr/aWlrHta5ovUBwuyOlt5T51Wy1MzupmXTck5IpqlWTUp\ndsn7DnsKPJLj++kJdbdU3ubDXcc+QjNPorsiqlmXj2m4cxfIITKzSzO1eSadUtDDLSQXWws2JClh\nKb/2jGH8aycxXcVGekn5tpS18Ma0k7ct+l/OOpfousmMG4PyIlcyqS7LTVSxAFtPvMPpdEsyy4UC\nXuknSvUkqWk94EpBtaKeFCciYN6DUra7T57eGYD5GOJc7wjbQn3AbAErZlqX1HWoWub2tBCGdx3Y\nUZY1EQulkA2I2jql4mAkAyIUQzZOqFVNjwiuQIHTyhwnOyGfBAtAT6rKMGTIUekAP38YloFFCuu9\n6xPKE1Ob7CLnUd+14sWjTzhWkqSu8enlcRalN9r8ovSkmFqkqSTe8K947dLRSGrG9ovCDyEIJKzT\nf2vwioVDRtyioalEIbNrJXBWDcFNV3BGC5WkzQqMkS5K3a1pWhQ0Ek2HfAN+hjIMlnHifLvKyq4m\nYy8mphMpMKffm5msS62e9a6iWllRHL2RDDmt63VsoJ5L7yl8KUZdKSq9y1NAE/4VQDlxhxrMns91\n/ArintM9JMJVwT3x3gkkX2uIvxQte8A+YXKZedPh40j4hbgxzh6kC6V9H7d87iOdpdBXgSXUqtB1\npvgTyzrUFKQdOoAc7e0Rz90ZvpGMsUTlLlZs5dVKzsu2u6Z+VsbpBv8A0saBKoqMqsQ4Xp6Z1VsP\nY0mZJTrqhqUlDzCxqO3NNz846HYQcKsLSKQf6NgNk/3SUflBczFGMB62qnZLtDk8ckmbKa5Qw7fx\nC0NM4ixG+wuXOXVSWlxJSR69K7gi3/exo9QsDVrDlRmVVGSQhNOdcbclgsaw6gLbKL2It3bEjmOR\n6xv4FGxPgSI1RzAp3AzBxVJpRYCtvqCfJSiv/PFaJoe+l0PFXOZAHA3qtHshqK5RO0BSpJLBCH3X\nmVdPalmlb/FmMy5h4dZn8HrQ0bJTXJVSV25DjAX+sQzD9HRRu0PRHNFrVlpBNtt0zLf5CMxZgYf9\nRwnWZBBv6vMMrQq2+z6FX3h3M0Czceyx49SsL1iValMoUvt0uY4lLx6oreUyktOD1tLgQk3uVAL3\nBFrEbxsPhJYqFEqL5k3mFCpsam30tpWklp1G4aUpI5DkYwVjWQdaywxbJOquljETzoTbYEiWVeMw\n9nB96rZf1Nx6125mXV8A8sfgYdzKjJQ8CUjPDPMH7j/dc2/0hqnFur5VVY8zKVli9vBcov8AzRze\nfkX6mwmSlmip18aEJSNypQIEdRP0h2kqVgnKyqpTu3XKqwTb9qWl1f5I5yYJpK5aVXiiYQA3LvNy\nzJPV5zVy9yAfmIqTTDHxzIei6/s/2eyO1PajH4XDoZXAE/wt3c7/AEtBPwpbJ4p9JpnngqiyuAsp\nqk3h+WoiuG+tlpDsxNOCXZQ4pZcBToCkEgBII1XJMGY3zb7QmYfZtle063VququigzzM3W6e2pvW\n0xPFrvqZADbam1JQb87EmNfMv8qK9n72kaJlDhbUl/EtaZYVMNgEyobIMw8QeiWErWb7WTYxv3nT\nM1zLbJWpdmDs+4LqVLwVJUSYp0u6hhT65tDiVKWtTm+tanO8SRupR5CwjjpsqaUgyOJs/BfWPFuF\n9n+zGTFhcOxmMc00XUOblB6uIJJdQP2iL8q0501nEBxA3TcxKYVBxtxLx1KupKgbKB8TzHwjeDL3\nOqRxRlXIOuqS+tEokKSoXuAI51Y4kM0sE0tnCiZB2jTLs7xJgT0iUONgpAJbDgsbqF72Nt4yNkR2\nhHMr6dJYcxDOzcytaVpq6HZUgNOazpdbVq+8bWkg2ASUkEWPMw7i479dFZ4+9nEOIieNp5+RoeaH\nI5w/hIJ1qybAGlAkilsZmDmNg6iomsSyUkUNsILjupJCSob6R4xjj0XnpX8+OxFScWeo4Zp2KqDi\nGuqqdTo1ZmnmgzMa1Bbsu42TwlrSpIVdKgoITcXERvtB5v0So4cZpdKb9bTMBTjaWiChKbbqVuL+\nQjW+mSuI6tU1V5x8yrCippqSlVlDQQE2UopGxJ/G0XMVpiYSDR01/BcnJwtuZOwTxd7G4ObyC/Nv\njJ8mkCq1JPQLvDk5+kV9kHGxlZXMvLXGeEHXkpD0wGWKlLNqPPdpSXNI8eHe3SN5sp828sc88ESm\nZGUGN6diGhztxL1KmP60FSbakKvZSFpuLoUAoX3EfK7TWXWJRc2poAXUQNW4AsBHVD9Gn7QtRazF\nxx2Y6xUD6rVKE1iOlsLXsmaZcDL+nzUy40T/AOUPCL+NmyPlDHagrme1n6PuGcP4M/Oww5j2DmLS\nSQW3rViwQNdzoDp1XXZTZty+MeFq4MEloabecWrb0JPnGsLteMHZN0yzfcQ3zDQHTnDs8NVxtAb7\nV+YhzaYAJpWi58bR4tu+4hdxrSu0JrT3tNtofVPQSKGyVQqlq3KPUpANre+F2mrkQtbTEK1pkkwo\nhi5JA+cLIRbkIuDfMnrC1tRKT4I67xULpQP2bxURO6Gteq16QWqz0mnBs5k2GWaw8ZIza0TqSyH1\nAFQCmwDYi4vsLRsb2LJ1tapujv7/AHTydBPPS5f8DGhOE8vqtm9PzFYp1Xk6HhvDs01NYlxNUJ1x\nMnIy6VglKiFfeOKHdS0nvLJA63jabJ3Gq8osvsQZ85TZbKlsL0Zl9UvKzxKJ7EylKb0vrdKVcJlI\ncUUIQCApJSdRBUNUxFlsG5pcli5Amc2c/Zbd6dFt7M5a5dTZKpzANFeJd4pL1LaWSu1tW6T3rAC/\nOC8MobYp7so2kBLE9MISB0HFUR9CI05lvSzYqmJYPf8AV5ZSVJJSFYgWeXuZjZvs65luZuZdox69\nSBIOVCYDy5NLpWGitptVtRAvzPQQ2Th5mOwOlGnvtbHD8/hWRNyYtXWtNrT5BTvnzjXHNyQbbzgx\nEyhAHELL2w6qZav9bxsdvci3x8YwPnQ3TpXOGoGcLgdmKLLrYCU7KIC03JPTu2ivB+0VjibebF+K\n1GxpSW6XnpITIbsG69LqSfL1pQ//ACxl3NWnBuh4pJITanLcBtyIQFflGNM7VplMw0VIt2KJ9Ktv\n7D8ur8AYzdjSRXMO1NLSlBT1FUpCkmxvwjYjz2g7x4QsnH3ePzstcMQKbqWDsYIQ6hzjNtzaCkg6\nguVbOoW6XRzjJ3ZJbbcwNWWEL1AMtuW4YTazyD05+1z84gD8q081WpdTYUubw4wQvTc29Wevv70f\nMRPexi85NYbrEstQJFKJG3gGlflCcP8ALKqYtjiUZ/mH4rSX9IPp6V5D4En+RlMcuNqNuQckHP8A\n9cc5MUU1dDympMrLn71MwJ+YFtgTsb+4EDytHUn09WH26p2YsOa7AN5mU9C1H9VLjE23cxqV2Ruy\nNUO1RnK0uuUl9rA2GtTmIZ1yyBM9/U3JpHRS9tQ5pRqJAJSI5njMpETYx1P0/wCV9SfoLw8DCm4p\nx7LNCGNrGnrchJNajXwADXWyNbKy36LLsbrwZg2u9rvMSRc9bxDQ32cLSCEaXpeSWn72aJNilToS\nEpt/s7n9eFH8xZRt2cYoeY7EitPtU+bp6HAk+BUpSTy84zjm72naRg+pTuBqBSFs0tmnqlUuybiW\nwkBOm6b7BCEiw8hHM/G/pHMRVauP0PKqhy32KiYcl/W6qpanH1JJHEShKgEpPS9yee3KOeIL/s9F\n0Al4h2l4tLLIPHI6wNwB0Hwvy9VK+1fm7J0DD05h7EFKo1cersq8iUdYfAMmRYB1TStRR7V0lKgS\nU+EavYfrVOomI6ZjCew1IV40acbfeo1QuGagwlQUplZSdWk26fwK+KMSVvE+IZ3ENemUPzU87xHn\ndITc2AAAAAAAAAA5AQxvvvyzwdadQNJvy6eHOJxt5dl6Ni8LZw7h5x3knm+1VjXoRbht00G2qWxF\nXpPEdUnq6zh1mnsTs66/LU2WBS3JoWolLKAbkJSDYAm9rRGcVLnpWnyiJLWy0l9KHDLW1quOlx4w\n/TPCmjqU6ghVtw0Li3S948nKLKVaSMk8kaVW0rQqxSRyI25xcgmZHM1ztlk8U4Rk5fCpsaA8ry0h\npvUncWQHHU1eqZqFUpuqVL1D15yZYdlkoe+60JZXcAe5V73EbYehwzJmspvSU5Zz6n1MtTtSRSJ9\ns7fdTqVSxCv95aT8BGsFOwW9Qn5d2Qqr6mnXwZllYB4qrmyrjkd4mvZszGfwN2gabmi8rSuh4rpc\nyAjcgS82hxX0SYsTyRGcPi2FfVY3D+F8Q/wZ+FxFpEsveA2bFFhOhJJrbQm+a6Fcq+qgMkJ0r5jY\nwO+mwPkYNTNS0+n1+TcC2X/vWVA+0hXeSfiCIEfAOq/jHQjVfLBBGhQL3tXtAzoGkkwTMc7CEHU2\nbN4chIIJaEk6jAziRc7WEFLsAQTAj3PY9YaqUlSBcgwQyk8zArVyYLZvaxhkkshP+hF+jaLWifGL\n9zCQ3Cl6lvug2vFRen2RFRE7oa1vxXQsR50VBzAOGKVL4cwDhmRTV5elNy6levradTrLhSUlx5QK\nbqv3AoFNjvGfqtJYpxLhGey9nKrSZWjvJVIcCnUZTZbl+O8EJQS6dOlBTbY8ob8BU+SquWuDpqnq\nCfXsLzcssIWSFuOSja1qP7R1sK/1aF6hWX5utUTDMhPMJfqrrDj6TMqbdS0Gpd5S0ad1XOtJ5DvE\nGNF3NzDVczC0BpA66JmluwVgdsBheM64bbAodSPwjLOT+X1ey2pb+DMM44mkScuwwpn1qRadXbSU\n7qPP2RvE2+w7rS+hSrKNxt5RazLPU6uqsk2clACSPBR/fBJ5ZJG05xKliY8cEvMxtH0S8pIYxebS\nt7H8wLq0nRTpf57pO8YC7S9ExlLZk0fEjWPJp9a6Utsy78qwGlhDi+6dCAR7fO9/htGwCZxxCVjv\nf0oUm23vjBHaxRMPv0KcbcI4Tkw2SFeOk/lAOUbhXpHuc0g6rXjPKcam5tubdcQl1a3SpHEBKVcH\nVb39y8bDTDSJ9yRfBv61REb+N0EfnGrmYNIpVJxvL4knKAiYS/pTUUI7i32yhSD3xuFabWV0sI2h\nwtMyFQoeHJ6mOOLll0tCWVvDvlIsBq8/GJ8/M2vJBij5X2OoC16Q0+3iaSlUvuIRO4f4LraVd1zS\nHkgKHWx5RI+ww86t+uyS3Fq1UpYSCq4H3Btbw9iGmpS/q+O8Po02s4+wQf7MwpNv+KHfsPM8HHlS\np6yfvJRbdv8A03k/lDuHhKz4QW58fvP0CjXbu7NUn2ssAUvLCo1/7NkZbG1PqtVm2rF1EtLl5S0t\n9A4rWlKb7DVfpERxzUMEZG5aNZaZZ0VilUunyxZlJdhNrm261q5rWealG5UbkkkxnjOduapdHmJ9\nh9R4bhBa4Le17bhWnX05areUaRdoTGU0008xOzP3jqrtoB9lO/zMcdxqV3fhg8l7j2OgvELr0LtR\n0sCh+fVa49rPG9bk8rcVVKjIW/Pu0t1lrSCdKne4Vm3IAKJv0tHOPDsuunSpQ+w4FJmVX52vt5xv\nD2gM5a5gpDOF8N116X+3ZZ5iuNNq/rEguyVsr/sKNjbro8o1PzIwyrD7StSVNqbm1By1uv8A8RUi\nifFjtJ/fv7l632Zfi5cuT3Z8eMW8w02eAQdfcbQJfTMJ1JliSOR2hJKVOEgS6efIqEDyUykIQsTC\nzdO9v/iC9KB94C7YnnvAyC38legB8cwDgR/s/oVallKCCZRJHWxEEMoQFBQlLDyIixkN/wDje7vQ\noEFJGl1y3S99/pDWiCOPQkj/AG/+oRrkw1LyKpx7WluUZU+ux/ZF/wBwgLs64ar2NMa0vB2H8Oz1\nXqdYqzSGKVSZdT0zNKUq2hCUgkqNzbY25na8OaKQ3WMKTWpBcSXm2n0m4+7KgT87Wje/0Vz2WuT+\ne+A8VylCkaepmvSwm5ptoBYQ4eGSpfO3f8Ymx7WtAd1IC5rtFxN/D8tssTeYxxlwAoWT0sfyj5ru\nVRJJqQoslT2pdbSJeTZaQ07bUgJbSkJVba4tY22uDCMyr2t+sOpRoPDP6u0NEygG9h+sY69q+SHH\nmNoF9XeHWEn12bN4UeCt79PCB5pz7sXTyiVhMBSHeIKedoDdIBO/WF3HbA3MCPqNjaIk2nSjJ6wU\nz5n6wEypQAglgkrFzDJIxAt1hZAB6Qg2L2EENA8ojsoHdU8+lgJ1G14qGfGs6uT9WSg+0F/5YqIE\ni0OgicCNJp+E6JJJ7v2ZieYkbGw0o9YmmAnbkNK0R5giiVyWxc3UazNy2iRpjco00mWKXLpW53lK\n1WVsBawFgeZhiksUYdl6bih3ENYladKUzGLc0mZnZhKGwpXq00E3JHO67Dxh/wAOMYXocu6MOSLE\nsy7NOrsyolKiSDqvc8xvFmSW3ALFii8JKz7Ri1MScupSyfuwb/CKrDTSJ5lwW9hQ5e6I9g7EHEkZ\ndCFadLXeVb3CC69W2AtBVOG4V0PKDS3Vo0VVVJSacCGlkabpN9+kYp7Q8tLzlDYdcQm7UzqBHmIn\nkzVkaFhLxNx4RjnNqbM9h5QU7dSTuDtATJ4EcxhYFzFp9LfZZeXJpWRtuPOHfDWJMaUrD9LYwzOS\nYlUhf3U6ytamlXGyClQ7uxNjyPLwhsxiniyoBUNleMHYcQP5NS7gUO46oEAxX5zZop2M2SGZUiy1\ninD+JqPSyJVVRUJwtXU2w846glJ37tzcjpz90edkF9Mlnm/R3E2tMOp9/wB44n/NCbGL5zC1cU2p\nCXpR+cIfl3BdKgQCNvfEmyay9kaNnVKZhYZqS5inzk1omWnF3cl3VvBRB8U3JsfgYuRzNkFdVSfi\nFuS2Ru16+mlKN+kAzMOQWQWMcfzMh62vDrEtMTcugd5yXM0w06pF/wBYIWopv1AvzjlPnp23MvK7\nqmcJzT1YcDVmElhTIv4uagCnzAufxjqJ6WzDMlU+x1nXUFSSBOKwg6pboHeUlpxtxI9wsSPfHARg\nA8Uf2opz8Px8t4fJ0XRQdpOJcFjMWNXiG5FkHzGtfMEI/EmIqvjGvvV+uTPFmZgG5AsEjayUjoAN\ngI9zEpor2HlzDCO89KNuouL3ISL/AFvAjQPGQAnmk/lD/LtIOFpB1w7kuo/3Q6oW+RinxxjWYrC3\nofw/svYP1dsiXP7TcQw5ST30JcTqSS17RZr+c+aw/TpV5UmWy6kqbVt3enzguXUoo0rfRb3D98Ok\n7SBTa89Kpl0hClXR5g/CEJiRclntKWUgHcb/AMI5vnB/IX0WOHSwCjfhNH7fT5INClNr0etI+Qgh\nlxDif6wk252tHqmXFpvwUa0+HWPWUPNq47ZQCDukg7wrBTCF7D1r/V+LlKMH0ibqNPqLUiFOlunr\nmXShFwlLe5KrchuN/dGTez9j6e/lcllp0hAbQEm9gD5RjzJurVKVxpL0ykzqmm60fs5xKNw6h8ht\nxhQ6hQIFvcekS3LClLoWN/s0XCmVFNjz2PKHIBhK4ftWxx4lE4HQtrfXQneyfNfRt2Usw5vNns4Y\nMzAqTpcm5+gsidcO5U+3dpZPmVIJ+MSx8WBJ8TeMAeiVxQrEHY+kaO6vUui1ialufJK9Lo/51RsA\n/ZNyodY6zDkMuMx56gL5b4tjjF4pNENmudXuvT7k3OpN7iBJpu6dMHu2NiIEmhttFlyzwm95lIRs\nICmBYQ4OgaTDfMnb4xFSXrPTu/WCpcAmBmukFS9tW0JRRDfvglkkbEX+EDNwU0m5G0JQJsqLZjqK\npyVaBtpZJ+Z/hFQnjvU7XA2hV+GwkfO5/OKgRu0OlZIUWVozmI5qoU+XfRV0yLyEvNpWCtDSml7E\nchoTb3mHRdUkWmCJUISLpKQkAWGkRGcQ5f4PpWOl4kl0zn2k7KKRMuKqTxbUFaL2aKuGP6NPJPTz\nNypUtJlEpSs7JAv7oH3luVENpoCydg7EemWSpCr2Rbf3wZWMTOuKFloTvfYXiCUOqiXbKStZFhyI\nHjC85W1LHca/xLEWHSWxSYynKSOV8qBPFN/JIiHY2nfWmHUOFSysbaz1j1VYfINiB8YY6/UHXW1W\nVcjcRWL9FbDLUFxEypbKk6QbHqIIwqtwUcskAaXL2AhWqNrcSTtvC+HJcIZWlRBgIk8SmIlG8XSj\nxmS6gG3ESrYQXlZiiqYXzNlHEzTiJZ2ebLydVk2Kk3v8IeaxKS61nVbkNoFlZCRFWa1thSVbWtEe\n9LXWFNsGtpX0j0muu9krOKWdVrU5gKrG/joYcI/5BHzuyLgcSuxG4Bj6Ku0xTV1Tss5gUl15bqnc\nA1trW4q5V/Npm1z8B8o+cnDs4l5tIUd1NpPv2EbUbrbayOItp4Tq1fWhXiDy90SimypXl4h1x3du\npO6EEfqqURe/vERaVXct8h3jf5GJ7Z1jCTVMfCUcKSBdQpHPUSsEediPrGTxx4GGB5le+/qx8Odl\n9t8mevDHju6aW57AL0Pr8t1jnG8q2mqsOBBUS2NWna1jAFQlG3GB9yq43BB/jDvi5tyY0TqUqTw0\nBKtI6dIajMpflxpUvYctJ/dHJtJr/lfWedDjjJkBA11/cTXwwl3+r7jzEKstBTmttkX6gmLX9IVf\n70+e8es3CgpCFE33KlfxghJXO900PoD7h+DCpHgOo07CuOaNiWol37Pk6vKTc56qjU4lDLyFrKQe\natKTYRsl2p8tqJlJ218S0LC0wl+hT899p4bmkDuv06bSmalVjyLLyI1jpriQsNOBI4h9lPjG4WeW\nFa3X+yP2du0rUZW6pmiT+D5ubCTd37Km3G5VSif1jLLQnwsz74LH4onD4rju2sHdSYuRehLmV6uH\nMPuY7oN9l0y9CvPKmMicTyRJszXWFAHpql//AOY2zm2Tcg9I069CFNJmMqcZoSu5+0pFd/IsuD8o\n3Km0kgR0nC9cFn56r5b7Ut5ePzj1H0CbZls6AR08ICmwoosDaHNYPLzgKbRsQR0i8Vz6a3E907wB\nNJ2+MOrzdkcob5toj5Qye0i3ew/CCpe5V7oHaBH5wXLgAbQlAlLtDe8Ftgi23vMIMgcx8IJSkkCE\nDaiVDMVkO4gmCN9JSn5JEVFlbOutTagP9uofLb8oqBEi1C0w1jG1Lq9YNQp8yh9DyrtuMq1JUm2x\nB6iDJOpOPN91kCGxqVkeOlTEogActKALQ9MNJQyCEAeVopNJKq7lKytQeRqISkcunlFO1J1Rsp3p\nvAL/ABStTg2F4HWlZVusge+HMhqkZrdUaupJCt3T84BnJ9KlHvQhMJ0H277QHNgnfX8zAi4lWWBW\nTBQbjVex290L0l1trUB153MNr6uH31K2vbYxUnNaFbK90D5jaO0BOVTebVuYGk5ln15pKkk7jlAt\nQnklO6ucBS1QQmcaN797xiJOqINFPMzKeKxk3iWnEavWcN1Zm3jqYeH+aPmSwxUXpTgS04O7wkhK\n/A6RsY+neVWKvg6dlFi4cTNNe8KaT/7o+YeYYDM27JrSfunVN2PSxI/KNpjiGBY2c23AFSGnVVCl\npl1rGorIHnsYyXiBEwJZKF1BxKRLoSELTYjuAERhOnIZlqlLTDqiA1MoUo6jcAKFz8rxmDFeIWap\nOLdamFOMqUSy5cFKkncEERj8ckL42CvNfTv6r0eLj5PFMhzwHcsQA0uiXknXpYA6b7qMVwNrYU4Z\nhKQlNkBSr3MRp67KioP2CugT/CHiq1KSYJsptSuhWbCGKeqTbyhxaowm3Iax++MBrSBt+fkvoriu\nZE+Sw/X+b/6LxS0OmxeV5d3+EeICEvAjiHx32hAT9O1W+1WiR0CxHvr8osFTDq3LDmhJsPjsIIGO\n6Bc9Lkw3bnD5g/8Ak76J3YWluxSpKB1JG58o3zyrznwBm/6F2uZMVKpqOJcpM0qbU2GpiZQopp9T\nfW0lTKb6ggOKcQoWsFKSb96w5wT2MqLTVLE7Vha39BLELcV7yNk/FUTXInNp6dp9Xy8pFEckG8Sz\n0gJybDwJMnLOl/hEabla3wysqvYJYCQncqjSxsPJZG+Qtptak/nXVeX9t+1XZ3MhiwGTh04ka5ob\n4iC3fmqg0FtijR1+ydx2+9B9WXZJ/GODghS2nqTKTiXRyCkOKQQfDZz6Rvi+i53Ec/fQdVhtnFuK\nqDMJTxZjDLLjS+pDT4v/AM4+UdB30XHL6Rp8HN4Lfj9V4D2xAHH5TW/L/wBoTY63pVAc4gHp8ocp\nlNyBAkwgWI8I01ypKbHk2bNhDfNINvyh2dQCkiG+YR3tJERIpIFBJTpOwgllOw8TFqW06uULMoGq\n0MopZpFrC0GNXuP70DtN23Igi4Q0pfVKSfkIY7KJKgUyouTTrn7Tqj9TFRZq1d63PfnFQE7qKb6Y\n3LlI7ov74d3gltgWAO0R3DTj006lKre1+1EknWilq1xy8LxXYPBaqC7UfmZsJKgNrqJFvfAD1QWC\nQFXhec0NjSo3Iv0HjDe++f1U8vOKzjRVplKnZt4m4V9IFmn3lC5PI84umHHLX5EwO4pahuo/CIEm\nlZbSRdDi0EXO/WKZJ0he+43FjFqyQLg9eseMOq0qZPTcDy/1+MQ5kdq8nXO5/CAWZlPHSdJ2METa\njv1huDhD426w3MiALLOXqzM0NxJN71C1r8rtsx8zuNpU07HFbkeXq9bnGrf3X3E2+kfStlNOpVT5\nttRtwZ9lZPkWx/7I4xYq9Cx6QHMHNfE9bo+VtKptLnsTVCYkJqs4nlWeIwuacU2vQlS1gFBBsRff\nlG1F4ogsjNY5zhQWmJdudPK+2/SHHGFXmKNNTUjT52abT64soLDfEbWOSShaVWIIA57xvBTv0evt\nWopczWsYZvYDpglZRyYVLy703NKVoQV6bpaSkXta9za8aMTLBeD4dkAlt53WU6DY3JPmD03jb4ZF\nG+OQPAO2+qoe0ZuBO2WB7o3C6LSWn5iiolVse4tpqtLk64Qes3KXFunSGx3M7FGm7bdNX/aErf8A\nOHTFsk28txMs00EISkhIeUki4HQxAa/JOyzlm7356g4bCBT4GFzX3Y+VfRdPi9t+10TA1udL8Xk/\nUlSGWxdi2tVJtmarKmGu8VplWUtgJCSd7b9PGG+ozk3Mo4k3VX3U6rpD0wo3T42JiOsVOpSCv6wo\nBaSAoDffnuYOp49eJ1IKlczaxNvziEcMDDTGgKnm8a4vn27KyHvvzcSPkSnOWmVKUlqWZ1KB2sm/\n0jYLsG5eYXzRzQeoWPM3KNgaXbkHn04kxEP5pKqaacdQhdiN3VoQyCORdBsbWODsN0hb020ghxSV\nWFtVgd/KN9PRf+iv7WvaxamM08hazJ0KjSlcco1cxLM1xMoJRPBbcW0220S+8VNu6VgJCNB06iVK\nAbiDHOwnDfb6hLs/NFFxmNzzygc2p6eE196369B1JYqxDm7M4qlpJaZGRwo79qvJV3EcYIDKPMla\nSdv2CekdNX9idukYz7FnY6wv2M8p3sB0atCrVCeeS/VaqJMMB0oQENtoRclLaBqtckkqJMZQeTty\njI4fA7Hxw12+63O0fEouJ8UdNF9mgB611/PRN74IgN9NifdBs0NJ2gOY3N4u0ufQDqfOBJlHetpg\n50JHO/lAzydZvEUkHwyVbCFWGjfztF4QCbW6Qs02L8oibTEq5obRbUlcGmTLg5iXX+BhVCbH8oQx\nAvg0CbX1LJA+JAiKgoIQSBY9PGKi4oHP87RUDUQF7hqioQ+EoQOcPNSkg2yVFPIXuIqgSoK7hCvM\n6ouxMUtyq7J20m8BGjFWbuoXUpO9iqwNr7mGxxlpJI1pv4XvDlUQEqsRb4Q2vFV7CKLyLVtiReaa\n0ne/+7COhJHsmF1alDcRYGiRygdlWBSCcYGshIvfxMWOSyxZxCbWO5A6f6/CHJbJuCBtHqGAQQoX\nvzgZPmrLQKTO/IOr6G8CmkPLWChq+8SVuW1N3tuNjt4R6hjSblMRsIoCGouLqfl1SZyZrMjPPGYc\naLbcjKF1RslYOw5DcbwI/wBoJx4WpWXdYWTy9ZLbI/FRh8CApB1NDyKhDVPzMkFKbc03HSLIypWM\nABTdzG51lRTMLOzH72Ca2un4LkpW1GmzxZqbW5p+4XvZKU3t4RwKoeIaVK0/husPFZQlWpDoKCLC\n90+MfQXOIpk3eUmJdLjT33bqFJ2UlWxB8iCRHzx4rpUjJY/rNPpbieDL1aYZYWyToLaXFhIHiLAW\n+EdJ2eyHzNlDjtX4rE43G1joy0ef4IPHM3SXg884pYSoBIQlkAq8N+cYpxFL8Z3U0zoQVFQT7vEx\nkiYpT00lxT6rhB2Chv4Qnl1lZNZpZr4Vy4p7Si5iLEcnSm7c7PPpQ4fgjUY0pnNAJ6BZ0INgeacO\n3N2aqj2fP+i1ubp8vLGvZT0eovNssaFF9fE4xcvupZUQST5DkBGHqLTllfHaB0DmeemOkX6RHhyQ\npeN8rPUJdKG2sGTbDIHRtucSED4AxoDgmST6yEJauleyxbkL7/6/0KGI8ywNkd1V/KaIpnMHROWH\nJF2ZqDK0kJ0qCiU+/n8o+mj0FeRLGRno0sBqdlFNVDGfrOKqmVncrm3LM+60u0x8/OPnay3y4qWL\ncW0jAmHJbjVCvVJiRkkITclbziW0AD3qEfWRltgem5X5dUDLSkJAlcOUSUpcuEjbTLsIZB+Oi/xg\nuXIDGGhQwmHvS49AnaYB4arjmDDatNt4cZpRLCiBvaG8qJG4tFFuy0HJvnEb2MAOneHKeIubCGyY\nHMKiSGSh3wNN4HWm9yBC7hNiLXEWKTcHaIFMkEosrcQs2B4R4Ed/lyi9It06xEpK4J3taAMZrCMP\nOp1W1rQn63/KHFu97fOGrHawmkNoP60wPoDETomsKHq57fGKjxxXeta8VAbTAgKV0FlKWSon42ht\nxe6lMstIFybJsBzuQIcZFa25TuqABHQQxYjeUod5xWzibctt7wJ7qaqrN0xVGXus2T132gByVKTc\ngc+pgiozC1KN1H4qMArcJ8Noz5DRVxhVOMtnk4keV4SDaUqtc290e6yRe9oSULKvrgVlHGyI+702\nKeUWh1tI7qQITBBFusWJte14Gd1ZYVeqcU2/YEWUn9nqP4fhFKmVKNxf5wjMj7vWk7o7wH+vK8ej\nxG45wyMCi2VhSTcC8R2sNq9dWR1MP7AsIbKnLp49/GE46KYNJpaZSt9tKxcFxII+Ij5/8fUqRw3n\nhi3BDTiXPUcTz0s24k91XDmXUCPoAxBV5TC1Bn8UziCWqZJPTr2kblLLanCPkmPnDaxlN4gxtMY2\nmQVOVWpzE4+So7KdcLpHzVHR9nC5nekbafisTjVOEfnr+CmiZRlTai82ApaVauWxFozD6LPL5rHf\npAsDy78prl8Pifrak+C2ZZehR/8AUcb+kYcQ9MOgzIlSBbWSB08Y3T9A5lz/ACk7QWPs1US4UxQM\nLS9LZfUOUxNzHEUB58OXN/IxfzpO7xJHelfPRVcFveZMY9fpqgP0j5tmXxPlU3wxqXheqpJv0E0y\nRt7yfmY5yYFm1tTF3U3BKQDe17G5Bjpj+kryUgh7J6dTLvGcMpW2Sq33fDCpVWn+9ck/3THMjAhl\n5lYQCoOD9U+EDwP+nxn0P1KNnV7W/wCH0C6Deg/yvouafpCMDT+ItKqfh15+vPFabpUuUbuyg+AL\n62vlbrH0WS8yl5AWhYUDvqvzjib+j4ZfSD9HzHx+9IG7bdOozbjjfjxZhYB8/uyd/Dyjq3lvmi5S\neFhvEcypabhMrNuK5+CVHx8D16786cuY32nuz0VrHxz7PzjqstPm7KreEALG2whVM6iZldbSx3hd\nJHWEivUm52MWG6hRdug5uxVsOUN01pWokiD5uwc+MN0zdKib7RJDJQzpCBpHWE0ne0ezC7iLEknf\n5Qx2Ub1SzbYVuRCnDA3TFsudiPOFkpBG8QT82iTaTY3hhzEX/NpRrldxR+QA/OJEhB6iIzmKq01K\nNkcmln6iBvTA6qLOgBV9VrxUWvLJVsOXjFQIqKk4JEoEDaw5CGGuqUSlI3Ou9vgYfXlpEsN9yLiI\n/UyozSE2/VUT/r4xWkcoNCY5xF1m5+EClru8/nDhNMlSiQN/fArjK7bm3vig46qyxCloAb+MJuNh\nJBgpaUWsp1PwhFzSBbvEf68YGTSM3ZeIRc6gYTW3pUbCFUOJCQEp+ZjxxdrnUB7hECUdqt4Kl9BF\nsowQgsn/AGatO/hzH0j0OpIF1HzBNosDiGpoLtcLBSduo3H5xHWkcIlLaeivheBJ1hsqNyYKDyjt\nuPdAc4bq1EwxOimmPGzlHk8G1l+thoybdHmlTiX3NCC0GVlYUr9VOm4J6DePnGoWH6dVplKJKoNy\nsuXSvvruGWx0B/W26+6OyHpme09V+z92VzhHCM1MMV3H02uky81LWKpeTSkLm1WO91tqDIty4xNx\naOOeFThukTrMjM1FwSa0lSAlsrKUqG7fuHKxAOwjsezcDo8N8rtnHT4X/X7lzXG5w6dsY3H4qUYy\nxQhMsmk4dcU5LpYCHZlbYSVeQt02jqx6C3KWdy77GjmO6tJKZmcdYlmKozrTZSpNlKZZhXuVw3VD\nyXfrHJqZoUxVPVaHgmRVNVGrz7chRWV7cWYeWG2knl+spMfQdlRhBvLPLPDuXjaWgMP0CTpyuCkB\nBUwwhpRSB0Kkk/GKHGpyIwzzP0V7g8QLy/yH1XKf9JIzPXVc/sBZWHShmg4OcqBdb3Wp2bmFgpUL\n7AIlkW2/WO5Ec9cvK6HKghpNKbcWe6CSU/vjYj01+ZxzB9IfmFMSars0JyUoTJCr/wBWl0IWR4fe\nFzaNUaDVnaXPpmgu5Ct7xp47THhxs9B9+qrZB7zIe71+mi7P/o9eHZsTeZmNn63OhTsrTJR6mtOK\nVJqXreWl5RNhxglJSAlI7ijudgOl0w01MtltxIII3BjRb9H4oUzL9hyczAn2Sl3E2NZ1xtRA3Zlk\nNS6LdbakufG8bzca21o5fNdzZTvRbmE3lxmqb5R4/qKKgzgurBx9K0q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"metadata": {}, "output_type": "pyout", "prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thanks to Steve for the photo opportunity. This photograph is copyright Douglas Burke, 2014 and is not for re-use without express permission.\n", "\n", " - XMM has patterns, Chandra has ???\n", " \n", " - Optical has blue and red, X-ray Astronomers use ??? and ???" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Important words and phrases" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " - Python\n", " - IPython\n", " - NumPy - without this there would be no numerical analysis in Python \n", " - SciPy - without this the scientific Python stack would be easier to install, but there's a *lot* of usefun functionality here\n", " - Matplotlib - plots, images, plots and images, ... plenty of documentation - e.g. http://nbviewer.ipython.org/github/jrjohansson/scientific-python-lectures/blob/master/Lecture-4-Matplotlib.ipynb\n", " - \"Stand alone\" Sherpa http://cxc.cfa.harvard.edu/contrib/sherpa47b/ + on GitHub mid December 2014.\n", " - AstroPy http://www.astropy.org/\n", " - AstroML: Machine Learning and Data Mining for Astronomy http://www.astroml.org/\n", " - Pandas (Python Data Analysis Library) http://pandas.pydata.org/\n", " - Astronomical dendograms in Python http://dendrograms.readthedocs.org/en/latest/\n", " - Glue (multidmensional data exploration in Python) http://www.glueviz.org/en/stable/\n", " - notebooks - what you are looking at now\n", " - ...\n", " \n", "Google(*) for \"python for Astronomy\".\n", "\n", "(* not Wolfram Alpha!)\n", "\n", "Note: many of these packages are changing *fast*.\n", "\n", "![searching for Astronomy](astro-python.png)\n", "\n", " - Here's the AstroPy home page:\n", "\n", "![AstroPy home page](astropy.png)\n", "\n", " - self promotion, as I'm an author of this paper...\n", " \n", "> Acknowledging or Citing Astropy In Publications\n", "\n", "> If you use Astropy for work/research presented in a publication (whether directly, or as a dependency to another package), we would be grateful if you could include the following acknowledgment:\n", "\n", "> This research made use of Astropy, a community-developed core Python package for Astronomy (Astropy Collaboration, 2013).\n", "\n", "> where (Astropy Collaboration, 2013) is a citation to the Astropy Paper (ADS - BibTeX). If you wish, you can also include a link to http://www.astropy.org (if the journal allows this) in addition to the above text.\n", "\n", " - and just to re-iterate this; here's the paper on ADS\n", " \n", "![AstroPy citation on ADS](ads.png)\n", "\n", "**Quick question:** who uses the \"new\" ADS interface?\n", "\n", " - here's the Machine Learning book; or at least its cover\n", " \n", "![AstroML book](astroml.png)\n", "\n", " - there are plenty of tutorials using IPython notebooks\n", " \n", "![IPython, notebooks, and Astronomy](notebooks.png)\n", "\n", " - and there are some \"different\" things you can do too (taken from http://matplotlib.org/examples/showcase/xkcd.html)\n", " \n", "![Matplotlib and XKXD](matplotlib-xkcd.png)" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Installation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's as easy as CIAO, SAS, and FTOOLS, all rolled up as one ...\n", "\n", "CIAO has its own Python installation (works well in most cases, but it does not play nicely with other systems). Radio and HST have something similar.\n", "\n", "A popular installation is Anaconda https://store.continuum.io/cshop/anaconda/ since it is a binary installation (SciPy can be a *tad* awkward to build) with a lot of scientific software provided, including `astropy`.\n", "\n", "Your computer almost-certainly has its own Python installation.\n", "\n", "Mixing and matching the different installations will lead to \n", "\n", "![Sad Panda](sad-panda.jpg)\n", "\n", "The image is from http://knowyourmeme.com/memes/sad-panda" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "-----" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Using (I)Python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the notebook I need to tell `Matplotlib` to add the images \"into\" the notebook, rather than throw up a window.\n", "\n", "Err, I don't think I thought that sentence through..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The main reason for using Python is because there's code out there that is useful to us; here's some useful imports - if you say\n", "\n", " ipython --pylab\n", " \n", "then this is done for you (note that this depends on the *version* of `IPython` you are using; e.g. `ipython -pylab` or `ipython --matplotlib qt`)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.rcParams['figure.figsize'] = (8, 6)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "I am going to use AstroPy - remember: http://www.astropy.org/ - to read in FITS data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from astropy.io import fits" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can use `help(fits)`, but the output is a *bit* long for this example, so I've picked a `symbol` somewhat at random:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "help(plt.plot)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Help on function plot in module matplotlib.pyplot:\n", "\n", "plot(*args, **kwargs)\n", " Plot lines and/or markers to the\n", " :class:`~matplotlib.axes.Axes`. *args* is a variable length\n", " argument, allowing for multiple *x*, *y* pairs with an\n", " optional format string. For example, each of the following is\n", " legal::\n", " \n", " plot(x, y) # plot x and y using default line style and color\n", " plot(x, y, 'bo') # plot x and y using blue circle markers\n", " plot(y) # plot y using x as index array 0..N-1\n", " plot(y, 'r+') # ditto, but with red plusses\n", " \n", " If *x* and/or *y* is 2-dimensional, then the corresponding columns\n", " will be plotted.\n", " \n", " An arbitrary number of *x*, *y*, *fmt* groups can be\n", " specified, as in::\n", " \n", " a.plot(x1, y1, 'g^', x2, y2, 'g-')\n", " \n", " Return value is a list of lines that were added.\n", " \n", " By default, each line is assigned a different color specified by a\n", " 'color cycle'. To change this behavior, you can edit the\n", " axes.color_cycle rcParam.\n", " \n", " The following format string characters are accepted to control\n", " the line style or marker:\n", " \n", " ================ ===============================\n", " character description\n", " ================ ===============================\n", " ``'-'`` solid line style\n", " ``'--'`` dashed line style\n", " ``'-.'`` dash-dot line style\n", " ``':'`` dotted line style\n", " ``'.'`` point marker\n", " ``','`` pixel marker\n", " ``'o'`` circle marker\n", " ``'v'`` triangle_down marker\n", " ``'^'`` triangle_up marker\n", " ``'<'`` triangle_left marker\n", " ``'>'`` triangle_right marker\n", " ``'1'`` tri_down marker\n", " ``'2'`` tri_up marker\n", " ``'3'`` tri_left marker\n", " ``'4'`` tri_right marker\n", " ``'s'`` square marker\n", " ``'p'`` pentagon marker\n", " ``'*'`` star marker\n", " ``'h'`` hexagon1 marker\n", " ``'H'`` hexagon2 marker\n", " ``'+'`` plus marker\n", " ``'x'`` x marker\n", " ``'D'`` diamond marker\n", " ``'d'`` thin_diamond marker\n", " ``'|'`` vline marker\n", " ``'_'`` hline marker\n", " ================ ===============================\n", " \n", " \n", " The following color abbreviations are supported:\n", " \n", " ========== ========\n", " character color\n", " ========== ========\n", " 'b' blue\n", " 'g' green\n", " 'r' red\n", " 'c' cyan\n", " 'm' magenta\n", " 'y' yellow\n", " 'k' black\n", " 'w' white\n", " ========== ========\n", " \n", " In addition, you can specify colors in many weird and\n", " wonderful ways, including full names (``'green'``), hex\n", " strings (``'#008000'``), RGB or RGBA tuples (``(0,1,0,1)``) or\n", " grayscale intensities as a string (``'0.8'``). Of these, the\n", " string specifications can be used in place of a ``fmt`` group,\n", " but the tuple forms can be used only as ``kwargs``.\n", " \n", " Line styles and colors are combined in a single format string, as in\n", " ``'bo'`` for blue circles.\n", " \n", " The *kwargs* can be used to set line properties (any property that has\n", " a ``set_*`` method). You can use this to set a line label (for auto\n", " legends), linewidth, anitialising, marker face color, etc. Here is an\n", " example::\n", " \n", " plot([1,2,3], [1,2,3], 'go-', label='line 1', linewidth=2)\n", " plot([1,2,3], [1,4,9], 'rs', label='line 2')\n", " axis([0, 4, 0, 10])\n", " legend()\n", " \n", " If you make multiple lines with one plot command, the kwargs\n", " apply to all those lines, e.g.::\n", " \n", " plot(x1, y1, x2, y2, antialised=False)\n", " \n", " Neither line will be antialiased.\n", " \n", " You do not need to use format strings, which are just\n", " abbreviations. All of the line properties can be controlled\n", " by keyword arguments. For example, you can set the color,\n", " marker, linestyle, and markercolor with::\n", " \n", " plot(x, y, color='green', linestyle='dashed', marker='o',\n", " markerfacecolor='blue', markersize=12).\n", " \n", " See :class:`~matplotlib.lines.Line2D` for details.\n", " \n", " The kwargs are :class:`~matplotlib.lines.Line2D` properties:\n", " \n", " agg_filter: unknown\n", " alpha: float (0.0 transparent through 1.0 opaque) \n", " animated: [True | False] \n", " antialiased or aa: [True | False] \n", " axes: an :class:`~matplotlib.axes.Axes` instance \n", " clip_box: a :class:`matplotlib.transforms.Bbox` instance \n", " clip_on: [True | False] \n", " clip_path: [ (:class:`~matplotlib.path.Path`, :class:`~matplotlib.transforms.Transform`) | :class:`~matplotlib.patches.Patch` | None ] \n", " color or c: any matplotlib color \n", " contains: a callable function \n", " dash_capstyle: ['butt' | 'round' | 'projecting'] \n", " dash_joinstyle: ['miter' | 'round' | 'bevel'] \n", " dashes: sequence of on/off ink in points \n", " drawstyle: ['default' | 'steps' | 'steps-pre' | 'steps-mid' | 'steps-post'] \n", " figure: a :class:`matplotlib.figure.Figure` instance \n", " fillstyle: ['full' | 'left' | 'right' | 'bottom' | 'top' | 'none'] \n", " gid: an id string \n", " label: string or anything printable with '%s' conversion. \n", " linestyle or ls: [``'-'`` | ``'--'`` | ``'-.'`` | ``':'`` | ``'None'`` | ``' '`` | ``''``] and any drawstyle in combination with a linestyle, e.g., ``'steps--'``. \n", " linewidth or lw: float value in points \n", " lod: [True | False] \n", " marker: unknown\n", " markeredgecolor or mec: any matplotlib color \n", " markeredgewidth or mew: float value in points \n", " markerfacecolor or mfc: any matplotlib color \n", " markerfacecoloralt or mfcalt: any matplotlib color \n", " markersize or ms: float \n", " markevery: unknown\n", " path_effects: unknown\n", " picker: float distance in points or callable pick function ``fn(artist, event)`` \n", " pickradius: float distance in points \n", " rasterized: [True | False | None] \n", " sketch_params: unknown\n", " snap: unknown\n", " solid_capstyle: ['butt' | 'round' | 'projecting'] \n", " solid_joinstyle: ['miter' | 'round' | 'bevel'] \n", " transform: a :class:`matplotlib.transforms.Transform` instance \n", " url: a url string \n", " visible: [True | False] \n", " xdata: 1D array \n", " ydata: 1D array \n", " zorder: any number \n", " \n", " kwargs *scalex* and *scaley*, if defined, are passed on to\n", " :meth:`~matplotlib.axes.Axes.autoscale_view` to determine\n", " whether the *x* and *y* axes are autoscaled; the default is\n", " *True*.\n", " \n", " \n", " \n", " Additional kwargs: hold = [True|False] overrides default hold state\n", "\n" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The reason for all the `:class...` and extra chatacters, such as `*` and `~` - is to make a \"nice\" HTML page:\n", "\n", "![on the web it looks nicer](matplotlib-api.png)\n", "\n", "http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can find out what `symbols` - i.e. the name of a \"thing\" - are attached to another `symbol` using the `dir` command:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "dir(fits)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "['BinTableHDU',\n", " 'Card',\n", " 'CardList',\n", " 'ColDefs',\n", " 'Column',\n", " 'CompImageHDU',\n", " 'Conf',\n", " 'DELAYED',\n", " 'Delayed',\n", " 'ENABLE_RECORD_VALUED_KEYWORD_CARDS',\n", " 'EXTENSION_NAME_CASE_SENSITIVE',\n", " 'FITSDiff',\n", " 'FITS_rec',\n", " 'FITS_record',\n", " 'FitsHDU',\n", " 'Group',\n", " 'GroupData',\n", " 'GroupsHDU',\n", " 'HDUDiff',\n", " 'HDUList',\n", " 'Header',\n", " 'HeaderDiff',\n", " 'ImageDataDiff',\n", " 'ImageHDU',\n", " 'PrimaryHDU',\n", " 'RawDataDiff',\n", " 'STRIP_HEADER_WHITESPACE',\n", " 'Section',\n", " 'StreamingHDU',\n", " 'TableDataDiff',\n", " 'TableHDU',\n", " 'USE_MEMMAP',\n", " 'Undefined',\n", " 'VerifyError',\n", " '__all__',\n", " '__builtins__',\n", " '__doc__',\n", " '__file__',\n", " '__name__',\n", " '__package__',\n", " '__path__',\n", " '_config',\n", " 'append',\n", " 'card',\n", " 'column',\n", " 'compression',\n", " 'conf',\n", " 'convenience',\n", " 'create_card',\n", " 'create_card_from_string',\n", " 'delval',\n", " 'diff',\n", " 'file',\n", " 'fitsrec',\n", " 'getdata',\n", " 'getheader',\n", " 'getval',\n", " 'hdu',\n", " 'header',\n", " 'info',\n", " 'new_table',\n", " 'open',\n", " 'py3compat',\n", " 'register_hdu',\n", " 'setval',\n", " 'tabledump',\n", " 'tableload',\n", " 'tcreate',\n", " 'tdump',\n", " 'unregister_hdu',\n", " 'update',\n", " 'upper_key',\n", " 'util',\n", " 'verify',\n", " 'writeto']" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "-----\n", "\n", "**Don't forget to talk about tab completion!**\n", "\n", "-----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I want to read in a FITS file, so `open` looks a good place to start (plus, I've used this module before, so I know what I want to do ;-)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "help(fits.open)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Help on function fitsopen in module astropy.io.fits.hdu.hdulist:\n", "\n", "fitsopen(name, mode='readonly', memmap=None, save_backup=False, **kwargs)\n", " Factory function to open a FITS file and return an `HDUList` object.\n", " \n", " Parameters\n", " ----------\n", " name : file path, file object or file-like object\n", " File to be opened.\n", " \n", " mode : str\n", " Open mode, 'readonly' (default), 'update', 'append', 'denywrite', or\n", " 'ostream'.\n", " \n", " If ``name`` is a file object that is already opened, ``mode`` must\n", " match the mode the file was opened with, readonly (rb), update (rb+),\n", " append (ab+), ostream (w), denywrite (rb)).\n", " \n", " memmap : bool\n", " Is memory mapping to be used?\n", " \n", " save_backup : bool\n", " If the file was opened in update or append mode, this ensures that a\n", " backup of the original file is saved before any changes are flushed.\n", " The backup has the same name as the original file with \".bak\" appended.\n", " If \"file.bak\" already exists then \"file.bak.1\" is used, and so on.\n", " \n", " kwargs : dict\n", " optional keyword arguments, possible values are:\n", " \n", " - **uint** : bool\n", " \n", " Interpret signed integer data where ``BZERO`` is the\n", " central value and ``BSCALE == 1`` as unsigned integer\n", " data. For example, ``int16`` data with ``BZERO = 32768``\n", " and ``BSCALE = 1`` would be treated as ``uint16`` data.\n", " \n", " Note, for backward compatibility, the kwarg **uint16** may\n", " be used instead. The kwarg was renamed when support was\n", " added for integers of any size.\n", " \n", " - **ignore_missing_end** : bool\n", " \n", " Do not issue an exception when opening a file that is\n", " missing an ``END`` card in the last header.\n", " \n", " - **checksum** : bool, str\n", " \n", " If `True`, verifies that both ``DATASUM`` and\n", " ``CHECKSUM`` card values (when present in the HDU header)\n", " match the header and data of all HDU's in the file. Updates to a\n", " file that already has a checksum will preserve and update the\n", " existing checksums unless this argument is given a value of\n", " 'remove', in which case the CHECKSUM and DATASUM values are not\n", " checked, and are removed when saving changes to the file.\n", " \n", " - **disable_image_compression** : bool\n", " \n", " If `True`, treates compressed image HDU's like normal\n", " binary table HDU's.\n", " \n", " - **do_not_scale_image_data** : bool\n", " \n", " If `True`, image data is not scaled using BSCALE/BZERO values\n", " when read.\n", " \n", " - **ignore_blank** : bool\n", " If `True`, the BLANK keyword is ignored if present.\n", " \n", " - **scale_back** : bool\n", " \n", " If `True`, when saving changes to a file that contained scaled\n", " image data, restore the data to the original type and reapply the\n", " original BSCALE/BZERO values. This could lead to loss of accuracy\n", " if scaling back to integer values after performing floating point\n", " operations on the data.\n", " \n", " Returns\n", " -------\n", " hdulist : an `HDUList` object\n", " `HDUList` containing all of the header data units in the\n", " file.\n", "\n" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look in the data directory:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%ls data" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "evt2.fits lc.fits mystery-picture.fits swift.evt\r\n" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For some common commands you do not need the `%` character; so I could have said:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ls data" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "evt2.fits lc.fits mystery-picture.fits swift.evt\r\n" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's read in some data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "hdus = fits.open('data/mystery-picture.fits')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "-----\n", "\n", "Aside:\n", " \n", " import astropy.io.fits\n", " hdus = astropy.io.fits.open(...)\n", " \n", " import astropy.io.fits as keith\n", " hdus = keith.open(...)\n", " \n", " import astropy.io.fits\n", " keith = astropy.io.fits.open\n", " hdus = keith.open(...)\n", " \n", " # do *NOT* do the following, as it will overwrite the \n", " # standard `open` function, leading to \"amusing\" erros\n", " # at some time in the future\n", " from astropy.io.fits import open\n", " hdus = open(...)\n", "\n", " # Similarly, don't use the name time for a variable.\n", " \n", "-----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you are wondering what a `symbol` \"means\", you can try just entering it at the prompt and seeing what gets returned (remember, this is IPython, which automatically prints out anything that is \"returned\", as long as it is not the special value `None`)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "hdus" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "[]" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, it is an array of \"things\", and there's only one of these \"things\". So, let's access the first element, which is labelled 0 in Python:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ihdu = hdus[0]\n", "ihdu" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you want to find out how long something is, use `len`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "len(hdus)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "1" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "len(\"Carlos \u00e9 magn\u00edfico\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "20" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "but not everything has a \"length\":" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "-----\n", "\n", "A quick aside on errors:\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "len(ihdu)" ], "language": "python", "metadata": {}, "outputs": [ { "ename": "TypeError", "evalue": "object of type 'PrimaryHDU' has no len()", "output_type": "pyerr", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mTypeError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mlen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mihdu\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;31mTypeError\u001b[0m: object of type 'PrimaryHDU' has no len()" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As with using SAS, FTOOLS, CIAO, ... - it is helpful to know how to \"read\" error messages!\n", "\n", "-----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, you can have multiple lines in each \"cell\" of the notebook that get executed, and it's the output from the last command that will get displayed. That means that" ] }, { "cell_type": "code", "collapsed": false, "input": [ "2 + 3\n", "\"David Hasselhoff en alem\u00e1n significa impresionante\"\n", "(-3.4 + 2j) * (4.1 - 0.8j)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "(-12.339999999999998+10.92j)" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is only important if you are using IPython notebooks (so I don't know why I mentioned it).\n", "\n", "Alternatively you can use the `print` command (in Python 2.x it doesn't need the `()` around what you want to print but it is needed in 3.x and above)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(ihdu)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "print ihdu" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some Python classes have written a \"human-readable\" output for `print` (or for when you just get IPython to display the value), as we will see very soon. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "dir(ihdu)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "['ImgCode',\n", " 'NumCode',\n", " '_EXCLUDE',\n", " '_MASK',\n", " '__class__',\n", " '__delattr__',\n", " '__dict__',\n", " '__doc__',\n", " '__format__',\n", " '__getattribute__',\n", " '__hash__',\n", " '__init__',\n", " '__module__',\n", " '__new__',\n", " '__reduce__',\n", " '__reduce_ex__',\n", " '__repr__',\n", " '__setattr__',\n", " '__sizeof__',\n", " '__str__',\n", " '__subclasshook__',\n", " '__weakref__',\n", " '_axes',\n", " '_bitpix',\n", " '_blank',\n", " '_bscale',\n", " '_buffer',\n", " '_bzero',\n", " '_calculate_checksum',\n", " '_calculate_datasum',\n", " '_char_encode',\n", " '_compute_checksum',\n", " '_compute_hdu_checksum',\n", " '_convert_pseudo_unsigned',\n", " '_datLoc',\n", " '_datSpan',\n", " '_data_loaded',\n", " '_data_needs_rescale',\n", " '_data_offset',\n", " '_data_replaced',\n", " '_data_size',\n", " '_default_name',\n", " '_do_not_scale_image_data',\n", " '_dtype_for_bitpix',\n", " '_encode_byte',\n", " '_file',\n", " '_gcount',\n", " '_get_raw_data',\n", " '_get_scaled_image_data',\n", " '_get_timestamp',\n", " '_has_data',\n", " '_hdrLoc',\n", " '_hdu_registry',\n", " '_header',\n", " '_header_offset',\n", " '_modified',\n", " '_new',\n", " '_orig_bitpix',\n", " '_orig_blank',\n", " '_orig_bscale',\n", " '_orig_bzero',\n", " '_output_checksum',\n", " '_padding_byte',\n", " '_pcount',\n", " '_postwriteto',\n", " '_prewriteto',\n", " '_readfrom_internal',\n", " '_scale_back',\n", " '_standard',\n", " '_summary',\n", " '_uint',\n", " '_update_checksum',\n", " '_update_header_scale_info',\n", " '_update_uint_scale_keywords',\n", " '_verify',\n", " '_verify_checksum_datasum',\n", " '_writedata',\n", " '_writedata_direct_copy',\n", " '_writedata_internal',\n", " '_writeheader',\n", " '_writeto',\n", " 'add_checksum',\n", " 'add_datasum',\n", " 'copy',\n", " 'data',\n", " 'filebytes',\n", " 'fileinfo',\n", " 'fromstring',\n", " 'header',\n", " 'is_image',\n", " 'level',\n", " 'match_header',\n", " 'name',\n", " 'readfrom',\n", " 'register_hdu',\n", " 'req_cards',\n", " 'run_option',\n", " 'scale',\n", " 'section',\n", " 'shape',\n", " 'size',\n", " 'standard_keyword_comments',\n", " 'unregister_hdu',\n", " 'update_ext_name',\n", " 'update_ext_version',\n", " 'update_header',\n", " 'ver',\n", " 'verify',\n", " 'verify_checksum',\n", " 'verify_datasum',\n", " 'writeto']" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So now I want to look at the pixel data, which I happen to know is stored in the `data` attribute of the `PrimaryHDU` object." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "-----\n", "\n", "Aside: when do I use `()`?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "carlos = ihdu.data()" ], "language": "python", "metadata": {}, "outputs": [ { "ename": "TypeError", "evalue": "'numpy.ndarray' object is not callable", "output_type": "pyerr", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mTypeError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mcarlos\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mihdu\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;31mTypeError\u001b[0m: 'numpy.ndarray' object is not callable" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that you *can* refer to a function - i.e. something that needs `()` - without them and not get an error; in fact, this can be vitally important in some cases. It does mean potential confusion for new users who don't know what is a function (thing that can get called) and what is an attribute (thing that contains information).\n", "\n", "In reality it's more complex, since attributes can be made to call routines automatically when accessed, but that's all hidden behind the scenes and you don't need to really know about this until you start writing your own classes.\n", "\n", "Oh, you can also tell IPython to allow you to write\n", "\n", " symbol value\n", " \n", "and get it to add in the brackets for you; e.g.\n", "\n", " In [999]: open \"swift-is-awesome.dat\"\n", " -------> open(\"swift-is-awesome.dat\")\n", " IOError: [Errno 2] No such file or directory: 'swift-is-awesome.dat'\n", "\n", "which we use in ChIPS and Sherpa, but it's not standard, as it makes writing code\n", "hard (or at least, copying and pasting code hard).\n", "\n", "-----" ] }, { "cell_type": "code", "collapsed": false, "input": [ "carlos = ihdu.data" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "carlos == hdus[0].data" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 23, "text": [ "array([[ True, True, True, ..., True, True, True],\n", " [ True, True, True, ..., True, True, True],\n", " [ True, True, True, ..., True, True, True],\n", " ..., \n", " [ True, True, True, ..., True, True, True],\n", " [ True, True, True, ..., True, True, True],\n", " [ True, True, True, ..., True, True, True]], dtype=bool)" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "np.all(carlos == hdus[0].data)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "True" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "What this is saying is that I can use either the symbol `carlos` or `hdus[0].data` to get at the data. It also shows off some basic NumPy functionality (storing arrays of data; doing things with the data).\n", "\n", "Let's see what this mysterios `carlos` is:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "carlos" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 25, "text": [ "array([[116, 116, 115, ..., 114, 116, 112],\n", " [111, 112, 114, ..., 113, 113, 113],\n", " [113, 114, 115, ..., 111, 112, 113],\n", " ..., \n", " [ 68, 68, 69, ..., 126, 128, 125],\n", " [ 69, 71, 70, ..., 125, 124, 124],\n", " [ 70, 69, 68, ..., 124, 124, 124]], dtype=uint8)" ] } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "print(carlos)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[116 116 115 ..., 114 116 112]\n", " [111 112 114 ..., 113 113 113]\n", " [113 114 115 ..., 111 112 113]\n", " ..., \n", " [ 68 68 69 ..., 126 128 125]\n", " [ 69 71 70 ..., 125 124 124]\n", " [ 70 69 68 ..., 124 124 124]]\n" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the output of these two are slightly different from each other, and that they try to be \"nice\" and not display every element (this can actually be tweaked if you want, as it's a part of `NumPy`)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "carlos.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 27, "text": [ "(1200, 800)" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And before Carlos complains, this is listed as number of Y pixels (so height) and then the number of X pixels (width). This is the \"C-like\" style of indexing array data, rather than the \"Fortran-like\" style." ] }, { "cell_type": "code", "collapsed": false, "input": [ "carlos.dtype" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 28, "text": [ "dtype('uint8')" ] } ], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(carlos)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 29, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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rwlR3fDa959wd032zOWNzTQxMUbzO59noYVtFcYCUG6SyDyVTLq4VvuGDR5Om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MpX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\n6Y7cpodecsyygwNcIE5ZUWwL32uOPirEVKqtxhCr5El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TvJ5Pb32Ya//yIHxFk0lPq6e/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YfZVJVMtWL13i4zzQ6OE27iE40osMSszCyNyqJtYqn3dbl3XeTgeN585575ruvm9x45oKpW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\n8ObLYpmEiTHZATa5QSnBhKfSkOgUkJQoRmCzv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DeBTwA45z4I/EXgg/o/f8O5XrD0vwP+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\n", "text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dog waiting to be scanned at MR Research Center in Budapest. Image Credit: Borbala Ferenczy.\n", "\n", "http://mic.com/articles/104474/brain-scans-reveal-what-dogs-really-think-of-us" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.set_cmap('grey')" ], "language": "python", "metadata": {}, "outputs": [ { "ename": "ValueError", "evalue": "Colormap grey is not recognized. Possible values are: Spectral, summer, coolwarm, Wistia_r, pink_r, Set1, Set2, Set3, brg_r, Dark2, prism, PuOr_r, afmhot_r, terrain_r, PuBuGn_r, RdPu, gist_ncar_r, gist_yarg_r, Dark2_r, YlGnBu, RdYlBu, hot_r, gist_rainbow_r, gist_stern, PuBu_r, cool_r, cool, gray, copper_r, Greens_r, GnBu, gist_ncar, spring_r, gist_rainbow, gist_heat_r, Wistia, OrRd_r, CMRmap, bone, gist_stern_r, RdYlGn, Pastel2_r, spring, terrain, YlOrRd_r, Set2_r, winter_r, PuBu, RdGy_r, spectral, rainbow, flag_r, jet_r, RdPu_r, gist_yarg, BuGn, Paired_r, hsv_r, bwr, cubehelix, Greens, PRGn, gist_heat, spectral_r, Paired, hsv, Oranges_r, prism_r, Pastel2, Pastel1_r, Pastel1, gray_r, jet, Spectral_r, gnuplot2_r, gist_earth, YlGnBu_r, copper, gist_earth_r, Set3_r, OrRd, gnuplot_r, ocean_r, brg, gnuplot2, PuRd_r, bone_r, BuPu, Oranges, RdYlGn_r, PiYG, CMRmap_r, YlGn, binary_r, gist_gray_r, Accent, BuPu_r, gist_gray, flag, bwr_r, RdBu_r, BrBG, Reds, Set1_r, summer_r, GnBu_r, BrBG_r, Reds_r, RdGy, PuRd, Accent_r, Blues, autumn_r, autumn, cubehelix_r, nipy_spectral_r, ocean, PRGn_r, Greys_r, pink, binary, winter, gnuplot, RdYlBu_r, hot, YlOrBr, coolwarm_r, rainbow_r, Purples_r, PiYG_r, YlGn_r, Blues_r, YlOrBr_r, seismic, Purples, seismic_r, RdBu, Greys, BuGn_r, YlOrRd, PuOr, PuBuGn, nipy_spectral, afmhot", "output_type": "pyerr", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mset_cmap\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'grey'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;32m/home/dburke/anaconda/lib/python2.7/site-packages/matplotlib/pyplot.pyc\u001b[0m in \u001b[0;36mset_cmap\u001b[1;34m(cmap)\u001b[0m\n\u001b[0;32m 2195\u001b[0m \u001b[1;33m:\u001b[0m\u001b[0mfunc\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m`\u001b[0m\u001b[0mmatplotlib\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcm\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_cmap\u001b[0m\u001b[1;33m`\u001b[0m\u001b[1;33m.\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2196\u001b[0m \"\"\"\n\u001b[1;32m-> 2197\u001b[1;33m \u001b[0mcmap\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mcm\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_cmap\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mcmap\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 2198\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2199\u001b[0m \u001b[0mrc\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'image'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcmap\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mcmap\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mname\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32m/home/dburke/anaconda/lib/python2.7/site-packages/matplotlib/cm.pyc\u001b[0m in \u001b[0;36mget_cmap\u001b[1;34m(name, lut)\u001b[0m\n\u001b[0;32m 161\u001b[0m raise ValueError(\n\u001b[0;32m 162\u001b[0m \u001b[1;34m\"Colormap %s is not recognized. Possible values are: %s\"\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 163\u001b[1;33m % (name, ', '.join(cmap_d.keys())))\n\u001b[0m\u001b[0;32m 164\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 165\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mValueError\u001b[0m: Colormap grey is not recognized. Possible values are: Spectral, summer, coolwarm, Wistia_r, pink_r, Set1, Set2, Set3, brg_r, Dark2, prism, PuOr_r, afmhot_r, terrain_r, PuBuGn_r, RdPu, gist_ncar_r, gist_yarg_r, Dark2_r, YlGnBu, RdYlBu, hot_r, gist_rainbow_r, gist_stern, PuBu_r, cool_r, cool, gray, copper_r, Greens_r, GnBu, gist_ncar, spring_r, gist_rainbow, gist_heat_r, Wistia, OrRd_r, CMRmap, bone, gist_stern_r, RdYlGn, Pastel2_r, spring, terrain, YlOrRd_r, Set2_r, winter_r, PuBu, RdGy_r, spectral, rainbow, flag_r, jet_r, RdPu_r, gist_yarg, BuGn, Paired_r, hsv_r, bwr, cubehelix, Greens, PRGn, gist_heat, spectral_r, Paired, hsv, Oranges_r, prism_r, Pastel2, Pastel1_r, Pastel1, gray_r, jet, Spectral_r, gnuplot2_r, gist_earth, YlGnBu_r, copper, gist_earth_r, Set3_r, OrRd, gnuplot_r, ocean_r, brg, gnuplot2, PuRd_r, bone_r, BuPu, Oranges, RdYlGn_r, PiYG, CMRmap_r, YlGn, binary_r, gist_gray_r, Accent, BuPu_r, gist_gray, flag, bwr_r, RdBu_r, BrBG, Reds, Set1_r, summer_r, GnBu_r, BrBG_r, Reds_r, RdGy, PuRd, Accent_r, Blues, autumn_r, autumn, cubehelix_r, nipy_spectral_r, ocean, PRGn_r, Greys_r, pink, binary, winter, gnuplot, RdYlBu_r, hot, YlOrBr, coolwarm_r, rainbow_r, Purples_r, PiYG_r, YlGn_r, Blues_r, YlOrBr_r, seismic, Purples, seismic_r, RdBu, Greys, BuGn_r, YlOrRd, PuOr, PuBuGn, nipy_spectral, afmhot" ] } ], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As mentioned earlier, the error messages can be useful, if you know where to look..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(carlos)\n", "plt.set_cmap('gray')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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fzBoS0CjOP6SDSAO0cWSYS39zqd7GhY4ABL7ebeceFetThp4tVpZ5Nuuwk/AAH3LPUD7v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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dog waiting to be scanned at MR Research Center in Budapest. Image Credit: Borbala Ferenczy." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that matplotlib can be run in a more interactive manner, in which case I could have just called `set_cmap` and it would have changed the existing plot. This doesn't work in the notebook environment that I am using, so we had to re-create the image here." ] }, { "cell_type": "code", "collapsed": false, "input": [ "mariano = carlos[400:,:]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "mariano.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 33, "text": [ "(800, 800)" ] } ], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you know what you are doing, you can sometimes combine steps:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(mariano, cmap='gray')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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OWRMHAzTr5nrbWBM4DfIGdIbiDGSctHd/WHbpkQ4GA+3t7Wk4HJb6s16WL2/E83fWIZcy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\no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H333XdRKpUcgs3r9eLGjRvY2tpCtVrFYDBALBZDJpMRcAkEApibm5NKmrFYTBxv5IH7\n/T5qtZpkldKZSIFHmoLaJK0MAil/OG7UZM2FRcuBG3rQOUlaR9fWt+09bpmZsozGIUhpmkhbkpzH\njHGfn58XP0U4HJa2MYGNeQls48TEhPSRAoSboQN7QurJJ5/EwsICFhYWZHtCRvSwTWwH783x0NEy\n7AvP1cKVf1PAcVvGa9euCTjT8nrmmWewvLwsFtR7772HWq2GkydPStQW70cl7Ec/+hFu3LiBUCgk\nvgK+b7/fL8K4Wq3iyJEjuHjxomy87naYayOfz+Nv//ZvEYlEEI/HZevFaDQqjvZxmrwbG6BpMf6t\n55a5RrVi52YFuK3p/9AaPhcP4K7Vu33GycnP3cINgYe1aw3ObqBq/q2fawoSvZDHCRC+zIPoKDfO\n3oy6ASAJSYwQMTV5twmlj1arhVqtJjHxBNCVlRVkMhn4fD7k83lUq1WJR+52uygWixgOh0in0zh3\n7hzS6TS8Xi+q1arQIOTqWSaAjklSFZFIBFeuXJF20SSnk4watd/vRyAQQCQScUTUMM6+WCyKZUJn\nHgFKJ+pQY2UKP4ua6S0BqbHqOUHagry5bdsSx66399O+GYJXPB4XHwHD/GgNMLqHSU4EEVIsvV4P\nOzs7iEajSKfTsl8AhUGn03GUaNCRMD6fD41GQ+YDfSW9Xg83b96U/8vlslAWbAcLlGn/hmVZDk6c\nwKk1bVo1pN8YWkrt2Ov14uLFi2i1WlhbWxNB9s477+DatWvC3z/22GO4ffs2Hjx4gHg8jpmZGbkP\nBepP/uRP4uLFi3jppZeQy+Uk5JY+Bc53KkIcd7PEg4kB7BN3LqPCws1yGCasqT9zfRNj9Fp0W7s8\n9Hka88zAiYMsAT7j4x6HTulordkNCN3AjHyj1k5MGsYtRIogoZ+rzyUga95dn8eJrdvHa91MM903\nt7IHejFxIpNuoPYciUSkuNO4w8062d3dlVr0zHAE9njzc+fOoVQqod/vo9PpCN3Acrq/+qu/Kvfq\n9Xp48OABvF6vaPA069knXkcn6OTkJFKplJQdyOfzEsbHzSqola6srDhoAx2eyJK39Akw/pqgQJ8B\nr3d7N9rxx7HWi00X0tLOXIK7djZrwGDsNkMFAUgkDJPEON9IOfCH+6n2+32xRqgT9+MAACAASURB\nVIbDoYSzEtBZSpoCic9mPaFwOIxGoyHncgerXC6HnZ0dLC4uYmlpCZOTk9je3kahUJDdvqLRqNTA\n51jQctEWDz/XVoGmt/geKQRJsZw/fx61Wg31el1KZ7z22ms4c+YMgsGg7G/77rvv4vOf/7zDL8Dx\njUQi+PKXv4w333wTN2/eFIFAbZ90Y7PZxI9//GMEAgGcOnVKkunMdabDpr1eL5LJpIT88r0xUU/X\nX3LzkZmKl7bg3NYlj3FWOM/X5xA39Hcf9zjU8sj8bdI0Woryf20C6SgEk/s3eVb9PE2D6M81J0fQ\n56E1eT1heFDouAkJLaDGUUXUALnZNO9DjYNZoONeuFtfGo0G1tfXsbW1hVwuJ2GM58+fRzKZxP37\n9wXkyuWyFAhbXl7G2bNnHaGIrVZLNEU6D7k4CD7ValU0Sq/XK6Y1aZpkMolUKiXZsATrhYUFRKNR\nafvU1BTC4TBs20ar1RJHH3dT4kENjwuTVRYBOBK5OFc4LmyT1pTZDzoYOQe46Px+vwAy3wffu1ki\nggoBhSHzBDiGpLDocNX3yuVy8Hg8WFhYkH4RyJnBy/EdjUayhwAAcT5OT09jZWUF1WoVt27dQj6f\nx/T0NEKhEFZWVnDixAmUSiWsr6+jWCzKpt6k0dg+znWdDa1DDTWNphU1asy6QB3Hm22npdZut+Xd\n3Lt3D8ePH5coI9ZB4j2eeeYZnDx5Ei+99BJKpZJjLWrrbjQaif+Ijl1aj7Sw9LtaWVnBu+++K/fg\n++v1eojH4475o/GB80V/xsPNl2Za/+Zn+jy3/00m5OMchw74uhPUbgnmHGwdYaEno37pbhSKef9x\nNJCWqCY1pC0FHbes7681ecC9DIQ5aailUjMmP8lnU+NnuKJbe83+tdtt3L9/H1tbW9jY2JCMzk9/\n+tN47LHHMBqNcPv2bdGktre30Wg0MBgM8MUvflHAV0fBtFotqXqpzV9GwvA9UANlrRxyo3Nzczh6\n9CjK5bIk2XQ6HQQCAczPz4smyb4SOFg9k6GPpHkYZ82QQUaOaCHEUE5SDnyGzsSk1q2FGwAHKPCH\nIY3MQbAsSyhJCirOT2Ye61IReu61Wi2J52+320gkEkKPbG1twe/3Y3Z21rFXbyAQQKvVknaSv+a4\nUDgkk0lEo1HMzc0hlUqh0Wig2WzKmE1MTGBxcRHz8/PodrsS8cTqldqPwvBHrgPSUGbmsU7+4lww\nC9bR78C5RYFICqZcLsu2hkzQ0tFRtr1Xa/8rX/kKcrkc/uVf/sVhVesx5vN1ETyW3OAc8/v9CIVC\nWFpawiuvvCKWmaYpNetgrj0TJ7gONTaNW6/6MNkHYplJJ5n00cc5Dg3w3bhUAOIk5Hc8NOjpCfZh\nJCAHVnOApuBxe6ZJNen2mdzbuOvNfpI20GF5Ji3Esrd0WrHYkza9gT1qIJfL4e7du1hbWxNNKxgM\n4qd+6qdkg2hSM/1+Xzj7paUlnDt3TsZS90lrTq1WSxYqNVQKBl13huA3OTmJfD6PI0eOoFQqwe/3\n47HHHkOlUsFoNJJICDNEEIDQTKVSSfpPYGd/dcgj36n2C+ndj8xQPUbDjEYjySfQ1A/fnc72JNCx\nDLGeMwR55gIQ6Al2jPfmOdvb20gkEggEAtjZ2ZGyAIPBAMViUXIgSJ94PHsJZL1eT6g+rQjo3btI\nG9FJSquJDmW2m0JsYmICsVgMo9FIylSUSiWhfuhz4XjxXfDd0ZrimiB40gID9sNT+cNQXJbFBvbq\n+dPxy3BYCmodxbSwsIBf+qVfwurqKt544w3HDlhbW1toNBpIJpPw+/2IRCIOGo/Pp7DLZDIAIAKC\n1g3nPecb58M4jXvc73GHiRdaWAAPMwKmAPg4x6EBvtaMNWXDzmmNm4c54LyP/s4NhPWhzXA+zwRp\n85n6Ojft2k3Ld+uvbgNNfJqanGiWZUmII/nryclJKVqWTqcxOzuLmZkZTE1NoVAo4Pbt29jY2BDN\nezQa4YknnpAa9VtbW3jw4AF2d3fRaDRw5swZXLhwQRyEmuPU2oau/66pklAoJBqR5rz9fr+EEVI4\nkDoJBoOyFymFhX5P1FRZM6dYLEpNHfLlTGQiABPQuTUiszQ53hTsrJ1DkCM4MZKE/ddhjJFIRKwY\n7fjlc6iBcmyoGZLSICgSuAmupMTYD0bcUKD1ej00Gg0BPFJvHo9HLBTbtlGv1x2RLWay38TEhGwL\nyYMUEjVi8uUUmswRYPRPrVbD9vY2ksmkI2OYTnFNnxLcTSudNBnbT2GbSqUwPT0tgpD9qNfrQqVx\n7ClodK7G2bNnkU6nZR9d0lOkQzX3zQ12SK0R/Kmk0Mrje9SAb85Rk7bVlqAea40f4wSA/s7ENo1j\nbvf9qMehAb4OXTMpGzevNuDU8t3+NwHYDIE06RgT/E0KyY2KcfvfTRCZgoHnEuhI2QCQCWfbNhqN\nBq5duyZcpU6Ssqw9Lp0Zic1mEzdv3hSOt9vtYnZ2FpcuXZI0+LW1NbRaLWxvb+P8+fNIpVJIpVLC\nxXKxaVOdfaQGTWec1uwYE99sNmXRkAPVtIht20JfcLETxEhnsf/U5hqNBiqVinDKFDw00Uk58J0R\nMKmFapqP/guCPQuG6bBDHVLJz7TVQjDjzkvax8NKmYz95/ziWHA8Tac8Nw55++230Wg0hIZihBSd\nqZo+IcXD9zEYDMTi4xyhBaZLJPD5bBfnPoFPrzf6jLjRSTAYxI9+9CMkk0kcPXoUqVQKs7OzIrg5\nh2mJcKMSjj/XAumn0Whvz10KL/LsdOQSeBlrz/lEi1c74Kenp/HCCy8gm83ixz/+sWxkz1IMpIiY\nk5BOp+WdUShNT09je3tbIqEoLMjjm2tbc/cmTrhp+AcBvj5MNoDXmvf7uMehbnGoY1fHSTfz0ECi\nX4YpBHiuXjSA84XpQ9Mkuh283zgfAc/T55rXE4TIKVNr1ck/w+EQxWIR6+vrKJVKEsvM2u3kxU+e\nPAmv14u7d+9ia2sLwH6IK+OdO52OOOZ6vR6eeOIJPPfcczI+BCPNgepJxvFi6CFpHU7wcrnsKGFA\nDZbnaQFmWZZoSyzJUKlUHgIcgi5DMXu9nizgSqUilBItwGg0KuGSbBcBVwMd+0Vw4nhrTY18v8fj\nES3RsiyphU8wbrVaDgc6AYIgpH1PFBytVktCK/mdx+ORapqpVAq5XA62bcuOWbFYDI1GQ7YipNUH\n4CEHMqtokmai1q+jmfTn1GxNf5NOXGLxMvL74XAYlUoF9XpdIny4aUg6nRbHqJ7XtBq0RUM/QD6f\nR6fTQTqdxuTkpDhxp6b2trkMBoPodDqwbVsEAzV7ri9axMBeWYVgMIirV68K4He7XdkpixaZLudB\nCi2TyWBzc1MUDgpMCnKTTRinbZuWPa9z8+eZOMLvtbKiGYP/32j4bpJQA/c4CedGnYyTpG4OFh5u\nGjt/tDOK7QUejtrR96W2rO9FDZcTn2YiFzI/39zcRDablTA97ihUr9cxOTmJM2fOYGVlBYVCAdeu\nXYNlWRJStrKygieffBKTk5PY3NxEoVBAvV7H6dOnsbS0JO3hpD6I9tL0zu7urkRVcDFUKhXR7ukA\nI/1AK41VMKnhBQIBKeClBZged9IErK3PEM96vY58Pi/OZWrczWZTtqgjt00tlg5wgiA1Vgomkzfl\neyN3TKDk5wQq/V51xifH1KzNQ6tDl2wejUaidXY6HRSLRQD7zkxSV9xYhqBGhYGCWM9V5jKwX9r/\nQGFE4U2tmUoCNWGOk46+icViuHfvnvgP+B23sNza2kIgEEAikcD8/DxCoZDsJkXaLhgMCh1IuoVR\nOFtbWwiFQkgkEo55w811ODaLi4vSD614cD1yTJ999lkUCgX8zd/8jexVyzo5ukQHfU3sL7V623Zu\nTK8xxKRyTMxxC/jQzAHP1781qJvrUM81vTY/7nHoTlttYgJOTdoEfTcLwOTS3CJo9KCZE8aN9mF7\nTM2d32vtQlMZ5HgZZcD7sMgYMynZh1arhXq9jrt370rUBePCGX89Pz+P5eVlpNNpXL582RF94PF4\n8OKLLyKTych2c7VaDeFwGF/96lcdUSOa8zYnHoFPjwfPZww86aRWqyWabqfTEcAhr86FxUWktcpg\nMIh8Pi9aLjlytokbatOkpzVRq9WEXtI13JvNprRtNNor70ABQN9EIBCQbf/IqZN+IH+vaQ1tBdCP\nwfdIC6DVagnA67BcXbOGc4XviRaMbe+VlyiXy9jY2JBywxQ4HFe9sTo1cAqZbrcrNW0mJvbKNvN/\ntoXzXAsjzllq5LQ6KES1pQdALCqPx4NkMikOdy28arWaOHtjsRiCwaDcP5FIyHiy/aRmyNVPTk7K\njmicp/SDRCIR5PN5XLt2DSdOnBAnrJ6nXKf8fGZmBr/2a7+G119/HVevXnXMGUbpULBPTU0JRWcm\nt/FH57/o55hAbYKxG72jBcZB12oBoTHuk4jUOVRKB3jY5DG94Vrj1Oa6Fgz6JejDlMY0tfX3puQm\n8Olr3QQCJy6pBNIWTAWnNt/v98WpxL4xvn1nZ8cRhUPT1u/3Y3d3F+fOncP8/Dzu3r2L119/3TEh\nT506hU996lOy4UQ+n0c+n8eZM2dw9uxZh1DSIK8BwW3ycrzJY1Kr5Kbk1M55v263i1gsJteSn6cW\nTMFG81pbTqZg54Kn9dNoNNBoNOQaClFqqNTWyIF7PB40Gg3JLOVm1SxJoakBan7UQmkRUPvU0T+W\nZYngINiTfqKjj/fXFIIuLwDs0TG2bSObzcrG4bwvSyuQQ6/VajJfOSYEfNJFjKBhu/X7MxUi9olC\nnBE4muLj9RTYa2trkglMzV1vQMPnMAOba5T+jMFgb7N3Zk3TyiBdxuQoWg2DwV55boJ0uVyWdXPn\nzh1HGW2TBgH2lcbJyUk8++yzePLJJ/Hd734Xq6urDquPjntSahwfre3zb95PU4RcQ6al7IY945RU\n/Zm5BjUm6T5+EpE6h55pq0FYd1KDsTmg2hlmDoSbw1cLDf6vzyfQm5KV37sNNGkMLnByzwxn48Ki\nea01nHq9jlwuJ5oOwxz7/T7S6TQmJiZw6dIltFotvPrqqxIvzfowX/ziFxGPx5HNZlGpVFAoFJDN\nZuH3+1EsFnHt2jXMzMyIk0oLOxNkTYAg7ePx7JX31WYw0/+ZdZvP5zE/P+9wutM6oLY7MTEh2wtS\nQGr/Bcedjj4AUuaYfLVOACKXzWeS7x6NRgKyjCVn6CPBWGu5lrVf8IyFwHiOTtWnBkxzPxqNYnJy\nUsoeBAIBVKtVOY+0lL6fBlSCtW3bEu4Yi8UE5Bgd1G63xbqgoOe7sSxLomUACOBrKpK0im07C9BR\ny9X+Dk3H8d15PB6sra2hUqmIE5TcPv035tqh5ReNRkVTp9OcEVh67fJ7ACJAWcgsl8s5auAHg0GU\ny2VUKhVEIhHMzc0JParXLqk427YRjUbxy7/8y3j33Xfxne98B4VCAQBEMUun0wL4tPS034FzcG5u\n7iEq1MQlN5zSgO72v4lFGmc+CfrG7Tj0KB3g4XhUN3OI13DCAO5grMHdvN4EOZ6vr3V7iRoMdZsn\nJiZkZyACRKFQkAxJHZo3Gu1tHlIoFFCtVoWH5kLiJg7Hjx+Hz+fDvXv3cP/+fVkkw+EQc3Nz+Nzn\nPod+v4+7d+9KCv3m5qZo3mxHu91GrVbDwsKCaCimSaktGh2lw+tZ551OS2C/PPDk5CRmZmZEayN1\nRXOfn7GsAsv7uoEM28O2EzxM604nThEoNjY2AEAiPaLRKGZmZjAzMyNaLOkmtp9jSiqKDnECIoGe\nQmg43C/hQAvT4/FI5BGrf7KsBH0QPI/gSFqBwMm6NhQiHAe2i9q0plEoRFh+gVYBaR/te9BtACDa\nMp3nek3oOQDsWSPb29sYjUZC41Fb5zrQOQp0XutKmgBQr9cRCoXkXVKYUIgxAW4wGAjt5vP5EI1G\nhbKh8NCRYdyFjaGknBsEZipalmXhqaeewoULF/D222/jD/7gDzAxMYFUKoUvfelLmJ6extramkNJ\noYDmZ/QHaIFrWv3jtPwPcpg46Pb3J3Ucaqatyafrw+07rY0eZN5obYrX6Wv5GRch/9bhdvpe2qzm\nZNeTXkePAJDsUG3W53I5x4YYNMc5gU6fPo3FxUVsbW3hrbfeEvqDlMHS0hLOnz+Pra0tlMtl5HI5\nXL9+Hdvb245kp0ajITXJWctkeXlZSuuazmgtxPj/aDTC3bt3paSBTqBhe7gQuTBIhejNLfr9PkKh\nEHq9Hur1Omq1mtyHGh15f/oDdAQRF6+uUcP3SuDkGAcCAaTTaYn0YCgeQZIAqPl6OgnJfdMSIY1D\nAebxeCQaRmvbpIYIUqRZksmkCDJq+FQMKFz4XD1v+HztR2K8vQ6BpNXC+Uxg0/OZ75Qhs1rx0HOe\nY8r5z/8rlYqDaiuVSvB4PEIhcXw4f/leeA9dpoLro91uo1KpiPNd+6qo9DDMlPkLestFrpdOp4PN\nzU1MTU2hXq+LgJidnRV6zqR8Jycn8dRTT+EP//APkc1mkUwmxSeTyWSQz+dFcHGcOI7VatXB/Zs4\n8VG0cTdKmu/BDehNZfSjHoeaeKUnqOk01KDqxr3zt5k4ZWqv457Bc00BoLVKkwPVAoNOHoaB6SJS\nnBB0xPI+nPTkxwEgFovhwoULUmKYNbq58DqdDp555hlcuHABhUIBW1tbuHLlCm7cuIHhcCjmejQa\nddSD39zcxOLiInZ2dtBsNrGwsIBUKiV9oKaux4emMCNzGMHB/tRqNYnBJyVCgcCwS11TXWvw3EOU\ni1mXHtD3oqOMbWEECrAvnFhNkg7CTqeDYDAoG5YzKU3PAy4wavgEFO2A5DjoqCL2n/QIASiRSEi8\nO+cAuWntaGXUD9+V7g+wH6JLv42OOQf2I4xoMXKuUpunwxeAo8/dblc0fAoXvZ4ACAXDcafQ9fv9\n2NzclPFtt9vir6hWq466/KQ0LcuSbHDOBwp8Oq4pIGjBlctloTs5LqybT9+GLjk9Gu2VxEgkEkgm\nk+j1eqhUKrJ/Q6lUgtfrxdzcHKanp2Xs9fr1+/04fvy4jAUd/Ts7O0KhaecxrZJWqyV+Op1noIH4\nIF7/UZSPFtT6XDca6OMch15LhwtSc4IakIGHB0ufoz8zfQD6moM83Ca9Y9I6WuBoQcLJyIxYAsna\n2prcg4uQJiYjZxKJBFZWVpBKpbCzs4P33nsP9Xpd6AZq0b/4i7+IcDiMu3fv4vLly/jBD34gjlT2\naXd3V+LI6cRkBMr09DQqlYrE+VOYEXy5gGiJcAMUTv5yuSyOU4ICk38IQNSydnd3cebMGeRyOUeU\nE9vKaBD6Imjac1x0aJxt2xJ5wt2RCFB6XwAKGlIjiUTC4cDkOGjagQBCECC48n9aQbQigsGg0Br8\njlQGLRpgn3KMx+Mi+MwSATxHO+gocHguAAFaatOcQzoJju9Ql83meRS2tMiYvcv3r8ecG75QyHW7\nXdy9e1cEKecbrRsKcAoeWjKkAlkXhxQjfTeM66dg41pgGZDRaIRSqSThqZFIxFFpNBgMOtakbdtC\naWWzWfR6PUSjUbRaLdy7d09q209PTztCTnk/tpulJah4EPD5LCpRtDJJWfG9aStH44Y5/zVFbIL6\nQZjkRk9/1OPQo3SA8fu9uv09jv7RQG96uXmdOdg0Y3XUiH5BpgQH9vMHtFYSDoexsLAgGsPq6qpo\nLgRKPseyLDz++OM4ffo0ut0uLl++jO3tbeHLbdtGqVTCU089hc9+9rMol8t46aWX8L3vfQ/1el0s\nBh2tRGCh5hQOhxGLxdDtdlGpVOD3+2UrQ2opTLsPhUIoFotIJBIAgPX1dekj8wJ4b44naQ9y27Rk\njhw5IhmlXOBcQAwB1DXNeS/+UCgSzLgP7MzMjCN0jm2hlWJZljhqCSR6oXBBap6cm2ab1iMd8Gwb\n20oBwzLNdB5TK9YhuRQIFDTm+NHhq+kBvnuCHe9Ji4eApeeUCfaMYqIlQrpNO411GCOtNUaGMaeg\n2Wzi/v37YjnE43EpHKdDGQnGHGP6OJg0x7IabEOz2cTExARCoZBYQ1SSGBHGTV84j0nlkPIJh8MC\n+BzXfr+P2dlZlEol8ZH5/X4Je15fX0coFBLKR1t0wWAQly5dwnA4xN27d0UocOyICZy/dGKzsq0e\ndxOYNRa5YdqjIn3M45MA/UOldEwNXIPvQZo+B9J0iOlFTi1Gn6/5Uq0RmYNu0kRu1gFpGWqLBF+/\n348vf/nLeOONN3D58mVH4snS0hJefPFFcRTdvXsXpVJJFgTLFX/1q1/FkSNH8Pbbb+N73/sebt68\n6UjrpxYMQAA/Go0iFoshFothYWFBzGFqu5VKRThSUlCkaHSySaPREK2Z3DO1WfaXG5pzkXNM5+fn\nRQsnt01QIoUzNTWFubk5VCoVqfdOQOY5DJlMJBLIZDJIJBIO64KalkmNcBcsgpk2tTVFxJINpIMo\n4OhboYPZ4/FILaFeryflBDgnyfdqoAf2qzJyjurKmroNPJfjBezX32fbtQPczefU7/eFz9frhaGQ\n1NopbEk5jUYj0cg5nyhMvv/974vDmGuGPprhcCjWZL/fl9r+ek3yu263i2g0KnQQqSuOs65xFI1G\nEQqFZPz5DI4lfSj0B7DsMoUkS3VkMhnMzc0hmUzKnL5//74UtVteXnbMG76P559/HhcvXsQPfvAD\nhx9J4wf7PhwOpVw4514mk3Hshatx7lHKqD5M3DFp5497HCql42bWmHyYeY3b/5pm4aEnIP83hQXw\nsINX30//r4WOdtrpczg5q9UqLly4gMFggDfeeAOJRAI///M/j2PHjqFcLuO1116T+h281/r6Onw+\nH379138dhUIBf/3Xf42/+7u/E+Dh/aPRqAOsuZNROBxGJBLB9PS0aInUHqmZEpxHo5HEOxMEBoMB\n8vk84vG4mNrhcFiAoVAoiGZrWRbC4bBUtAyHw1KRsVAoyISmMNIc6tTUFILBoNBM1Lr1eJM7TqfT\n0h7tO9HgznvQyqGF4PF4xGrioYGWFJamEbXg5pjQsenz+dBut8W3QTDS40ynMOcZNXSCILVfCktd\n/VNX9zSzSrVSQ+rETPgyd7Hi9xTSnOusx2PbtlSqpPDo9Xq4deuWbDzP90iHcSwWkzGjAOx0OqJU\n6HZw3lCgMnJIa9AEa9u2pXTFaDRCJBKRHdYY2qwVNN6b74Tza3p6GuFwWADYsvay0ZPJJMrlMvL5\nPK5fv47FxUWJXtPrPhwO42tf+xpqtZqULdHMAAXc2tqaUJSk6lqtFo4fP+5IDjM5ehOHNNZp4WJe\n/0ny+IdK6bhp1mYUCeBMRHAzj0ztnp9pPpb3Me9tavPjBpYvRTsadcicFj6sAfPcc88hlUrh/Pnz\n8Hg8uH79uhQzo3ZQLBbxj//4j/id3/kdLC4u4vLly3j55Zdx9epViWmm1sqkHEanMNs0HA5jenpa\nwJCp96QkarUaCoUC5ufnUSqVUK1WpQIitcNGoyGUCAuz0dHH8EOaw9Tw4/G4aN6JRMIBflpj1Eln\ni4uLshtUv99HIpGQFHpqzdwQhqGH2uKgc5NFtwi8ZtliAiO1UmqIBA8KWs4dWhcUStrhx2fobFdN\n43CsOd6cL2wLPyOo9/t92beXHDD9C+a6oNAkYHo8HuGQ2Q9amVRC6DClVUOhyHuzv5qntm0bb7/9\nNv7hH/5B2sJzKZxIdQEQa4dtJGjT8cqSz5a1H6VDX8n09LSjHPFoNEK9XheKiJYs91SgYOCY6+AC\n+lB0LgytRAYp2LaNdDqNZDIJy7JQq9XwxhtvIBaLYXFxEbFYTNb9xMTehuv0w9RqNWn37u6u5AG0\nWi0Bewqte/fuyY5eHDc3JRPAQ7ik8UfTyprp+CSOQ9fwNWC6cfhmh3kOAXicENCDxv/daBwOtubt\nzUPzeJoy0m3ieVz8pHcuXryI7e1toW90pb53330X586dw+///u8jl8vhnXfewdWrV6VGOjUZRuJ4\nPB6JTqH5yrBE0gKsJ87sSG52DUC0bdY+0ZEUOmyTURase0NwJ9AzbrxYLCIcDsPn82Fubk6cewQh\nCkY677jgCJh0GHc6HcnUpMDRApa0CN8BQY2aqnZIEgi5SHkP/s1xIrestWS2q9vtOrRrfsdnA5BI\nKjqr9YImfaHfHcfEsixxeBJY2S4CqnbiEqjZDs5fatKciwRcChXeg7QG+9/tdoUPZ7+Hw6Fw3bQ6\nCUjMhiVoM/SUz6SznEItHA4jHo/LvOx0OohGo0IfNZtNGQMqA6T8COy0MNlmr9crCWm63MHU1JTs\n2Ts5OYmtrS3xc2WzWXH4M0JNl7bw+/2oVCqy49Xc3BwWFxfFvwDsOc4ZaLC1tYX77+8Ux13IOBY8\nqBxxbnOOaayxbRvFYhHJZNLxbrWV66bhf1LHoTttH8VvmRLPPJeHG4ib2rqbpWAOqAn6fCY5Sf2S\n3KwBaiE+nw+1Wg13796VEgrUCDweD0qlEn7lV34Fk5OTuHnzJuLxOB5//HF4vV4sLy9je3sbN27c\nEKqEoEKnFh3G3CyD2iG5YwI9tWlgfycr7pNbLBYxMzPjoB5ospP+GA6HiEajWF9fl8XPuu3U0oC9\n8FIm6hCYNP9MYGDEDzNMyaVrwKR22W63JTKDHC01PZ0xStAgyHg8HtTrdYmssG1b+kU/AgUvx46U\nzmAwcMTfm/QdgZ/RPwyNZGYmOXXtrNX9YsE7zmcmGJnKAuczqQtaF5xjBCMeWmGigNROXr4P07cA\nADdu3IDH45HyBrwPBQgPzgm+Y2ZED4dDLC8vy3sglRaJRBx+DdJ0tAoJhgyN5HnU1KenpyXcmePJ\nNcd3ORgMsL29LYX0Xn/9dWQyGcmLyGaz2Nrags/nw8zMjGx6Qt9GKpXCW2+9hStXrkhI77Fjx7C4\nuCgO8UAggGPHjiGdTmNjYwOFQkGsSzqzbduWom+02OifAODwKUWjUWxvrk37qAAAIABJREFUb2Nx\ncVGUFo01JhWkhcXHPQ7VaWv+5mT9IB3TGr4+TB6Mn2mHFw/tZDI1fbaJkpf12d0EjT6XsdvZbBb3\n79+XmHaPx4P5+XlMT0/LRGIsfSaTkSSSM2fOwOPxYHNzE5/+9Kfx93//92LyMn5dx21Te9e1Saam\n9nY5YggctbzBYIBEIoFUKiVOXoIVzX7y0LyeC215eVnirBnZQQ736NGjQh3o8Z+amhITOJlMitDk\nmCeTSakzxHGn1cHFzJBPgg/B3nQMM10+EAhIwhj7TF5cg74bb8rPCGbUsDmGnJsco16v5yiPrEGa\n4ERBMhqNRGvlXAT2dnpi/0lX8DpgX9vX0UkEewI68zu4RaWey248sP6dTqclnHFra8shcMifU3AD\n+1QdhRPLbPh8PkxPTzvyKgqFAoLBIEKhkJSRIN0Wi8XQ6XTQbDYlsIG+B+YdcF+AeDwuGjPbwDUQ\nCASQz+dRq9UQj8dx9uxZvPzyy1hZWRGLhO9+a2sLhUJBqEwqBPRDUPFYX1/H9evXEYvFcPLkSdlB\nKxqN4ty5c7K+Nzc3RRDTp1Wv1x3hsIx+oqClFUfrmw5ozhOOK9/fOEz7qMehA7752Tiwd3NemKDO\nQdEUi9ug6b/daCPzntTedGYlF4HWzrzevZLG9+7dQ7FYFCdfMpnE8ePHEYvF0O/3sb6+jnK5jMnJ\nSRw5ckQAlCbq1NQUZmZmMDk5iZWVFdy+fRs3b96UcgODwUAyIfXepPyeTtFwOIxQKIRKpYK5uTnR\nqH0+nziDyc3q0rQEatvei4VnaCbBkNE8qVRK9kKlBQPAAZyah6RJbr6nRCIhTlhaLyw6x+JsWtMm\nH893wVA/mt+sp09KjL4hCj72mcBEUCBoe71esURonVDY8z6hUAiTk5PiPDezXTkGjHDRfdbcOcFI\nW2j8jnOL7SPtwWcQQCloaUGac55KC9+JZVlS/mFnZ0fCMzmnKOTYDx2GqxWywWAgPHo+n0e328X0\n9DRisZiUtODBtcAw5uFwiEQiIXH+jBwjgHLcGfJLa04HHnAskskkbt26hVarhWAwiHQ6jfX1dYnR\n11jR7Xal+qrX60Wr1UIoFBJtm0oPt768deuWWBvHjx9HPB7H1NQUlpaWMDMzg1wuh+3tbVQqFUeR\nOM4VWnwcD2r/zH8IhUJCA3G8dTtIUX5StM6/G8DXIK0/M0Ha1FTcfAAm6JvP0mYhf5vCRB8EOcZH\nc7FxIZJDZ30bgr1t2zh9+jROnz6NwWCAtbU1FItFDAYDCTdk6KPH43FkbGazWSkVsLy8jGPHjuHW\nrVtSVIoAykVLcKZmyQXDqAVOIE5COjkJ/DSl4/E4CoWCaI46hI6JR9yxqFQqIRgM4siRI2JNaH4X\n2NNQM5mMhF9yQWszlpUiKTQ1KAJ7Gb4MMaXprjVpft7pdCTpjIvPjHihdsr4eu1voEDXoYwER1pv\nBDEKJpZLJj3UarUkfBRwVvYk3Udwpk+Imr1OBqNVQtDXFi25aJ7D+ctkL95Pa/raZ0HqS4e6VqtV\nB++v1xT7QaGkfRb8jNtX8p60JrXTnzQSQZAUaTqdRqfTkTh8BilQyA2HQ7EM+a60QGJAAdtKQVir\n1cSHQqHHiBr6gGhBUBAwgo2Z4awsurq6ih/84Ac4ceIEHn/8cSwtLSGRSODo0aM4cuQIqtUq3nzz\nTdRqNZknrCHENc6xocACINaFxjeuUdP6/CSct4fO4etjHDDrv03Q14PwYQfEvD//NzUjggI1DS4G\ngmq/38fNmzexs7ODWq0mi+jpp5/GzMwMNjc3pWSCx7OXlJPP55HNZpHJZJDJZDAYDMQhy9IFnBxc\nVCsrKzhx4gSazSauXLkiE+X06dMyqRnBw4nEfugolOFwiEKhgJMnT6Ldbku4HSN/uND4N/vt9/ux\ntbWFSCSCQCAg6fexWAzZbFayEHmf0WgkQo2x8zor0efzOWij3d1dif6wLEuiLTS46829adYHg0Fs\nbW3JIgmHw2g2myJ4CLZa26MwIwjSqojH4yIItYAnvUFLhHHgBI5qtSrjD0BATZv1GnQ0BQhAAJlR\nOWybjhbSggBwJlHxmfS7UODpSB1aD9Ta+QPsx/+ba5DtNSk77dBmWzgGpCipgadSKfR6PQQCAeHq\nuc4oPOj3onWq6Z9qteoQVvTB/L/UvUuMZOl13/m/Efl+RERGRmRGZlZmVTWrutjsJsUmwYbYAkhK\nEATI8MiAFvZqYMDeeeERBhpY9m4WI4wFQbMeDCTAGIwNCwJsSCuJWtBcWW6SItFU81ldXfl+REZk\nRGbkO+LOIup34h+3sqqbTAFFXaBQmZE37uP7znfO//zP40MORkZGVCqV9NFHH8XGOMfHx9rd3Y02\nDbw3ffpnZ2djnbhBOT4+VqVSCRnI5/P6u7/7O/3kJz9Rp9PR48eP9Zd/+Zd67bXX9Pbbb+uNN97Q\n4uKiCoWCfuM3fiPaT+zs7EQ2HgYYDzSb3QSoct3DvLjhZaxvc7xyhf8iqiZLy2SR/cvonZt+v8mD\n4HNX9O46IdgMNApT6k8EqVs7Ozu6vr5WtVqN/WJR2D/84Q8DOcDDEyRttVr61Kc+NVRwNDk5GcJI\nuwavthwdHdX8/Lx+/dd/Xc1mMyr/QJJQKyxmkByf8b7sC8s7u8s+PT2t9fX1SDskrbHb7apWq+nk\n5ETNZlNra2uhFF0xgxTz+XwgOUeqCC9jTXthp8xQyiDX0dHRKMwB4bEPaqvVimtA10CT4NkwvxSe\nZRUq+fEY68XFRZ2enurg4CDQOHRXoVCIzWxA3LS6dmSPApYGVbsschCec+LeIZN5AkkzfgAO90B4\nNxQglBdK2u+LwfXgeq/Xi41psuvKKRT3iH2Nwk0nSRKB3FwuF/UhAAGUaK/Xi145nkqLjJP6Ozra\nbxlOC+zj4+OIT/G+pHvi3XJvvB0C/7OzsyoUCtEVFQ+XdYcs0NgOlP29731P+/v7cR405Q9/+EOt\nr6/rW9/6ll577TW9/vrrWl5e1srKiiqViiqViprNpg4PD5+Lv7FWOdwTzeo2l4MXMRA/y/HKKR0m\nLus+ZqkYXtrdXL6fvd5NP2fP4fcXUUA8DxyiIwxQ7NHR0VAlJkE8Ao5QQXDefJ8+2z75ZJu0Wq2g\neEqlUmT0gETov07ufblcjpTG/f392McWxca1URosMNIJUcIoW4JwuODwiygzXN7l5eVw1+FcCeSi\nkJy7xlgSNPW2Bih/aCkWKSmmUCGeOSMpqlx3dnZC2cPLwvejBLkPmRUYkqyxB9XxbOwB4FlLBHW9\nE6Xn7nt2DGjNrylpSCEjz/zsQVrmCoXNdXle5g359b+5zHvaJ/EYso3IamLt4UFIigZxDrb4mfH0\nz+H/T09PdXR0JEmqVCrh/ZB7z3i1Wq3IdGG7w16vNxRbInCPYcGYeHUyQOXs7CzkkJYQ7777rpKk\n38oBDwAPEG8H9A1/fnx8HKnU1KQAkDAQ4+Pj0WN/aWlJ3/jGNzQxMRGUT6lUUrlc1unpabRgpobC\ns6EkRd8iTwd2Heao/zbHK2+elv1ZenEPHRaJpy/57y/7bvY+WTfZDzc4/I2mXKTWtVqtyCvO5XKB\nItI0jej/xcVFBFXTNI3FAx0ACmebPgKTFKGgVCqVSiBI2tRK/XYJKLrx8XF96lOfCmSBt4BBgq8E\n/UBhUGwl9ZUCLZwnJye1t7cXSosc9Ha7HTn7KMxGoxFK7eTkJP5O50QCZKT44YKzZWKW6nFECxrM\n5XJRxo/HwTOgjAkA8i4gXTo2enM6kDXGQFK0AGBOSCvk2ag2hSrxak88EJQP3hJKnLknnQ/PCPpm\nZGQkPBmMI8/FNbkGis9jEB7YOzk5UblcjjEktoIMAkRA+aOjo1pZWdH+/n6MrwfbnYbimk5PMZ5Q\ndNfX15FOy7hPTk5GbAiqEtoPQzk2Nqbt7e2IyTDfgAmyxDyrjvTYNO3Xl+zv72tyclLLy8uq1Wq6\nc+dOnA9oIa7ExjnMM0kDR0dH2tjYiE1+JEUKMuMPkMrn8zo4OND777+vN998Uz/60Y/UbDZVLBZj\nf4taraZKpRLV7m480TdpOtigBu/W3/Pv63jllI704m5xWbSePd+9gxe5Ox9H2fj1/Bq4vyhFFlyn\n0wn6YGxsTMvLy6Go2TTE+U4QIb+DfkBH5+fngYDYwBxFhJE7PDxUqVRStVrVwsJCpLMRXOLaKIq1\ntTUdHh5GBgidBE9OTmJhogBYAIwl1E2j0YjFiIIgUI2LPTIyopmZmVCaeAigFbKGJA0hVIQag5X1\nCKC4+C4GlUyNq6urKJ6hq+Lc3JzOz89jUxnP0ADN431hnFCanu5IV8xGo6GlpaWgALwAjOf0Ii6u\ngdHAGHkQECODR+DBO+QUhQy9IQ1QO/KJ8fVeTq48oIY4BzkEITIGKPZ6vR6KzefrJi/FARbKjznD\nuIPm8SCopPa8dGIb7uVwDakfqGdbRbzZ6+t+10+qsVG43W43gNfa2pru3bsXWWc8G8oTWghZxEug\nY2ihUNDGxkbQMR4n8OIzxoD3rdfrevr0qT7/+c9rY2NDOzs72tvb0+PHj7W4uKiHDx/q3r17koaN\nFF4rMupeN8/oFOdtj18IhS+9OCXzk3DvL0pb+jie/2WfQ9H4QLfb7bDCRODhfY+OjqJBk6MnNjDP\nfp6m/Raz5NFLimIkFhioBjQuDdzopaUlTU9Pa3t7O/hIMjTIWKCSdWpqSuvr66GYQGAocVzVTqcT\nvcVBsFdXV+FSNxqNCNzCv9LsygNKvCf/GEPS+4rFovb29iLXHePGz04zoaQ8FTNN02gNnCRJeC4U\nDoHYaBjXbDYj8IcRpI87/DIeGv1tms2mNjc3tbS0JEkxf8QO6DNUKBTCIFJ56UVSzBvz6IvYZQF5\nBTygzPBaPD0PjwxlheeJnGJcvcHYxcXFECUAQieNlaI5965YW5yPgsry9yB9+uaQ0oiHg9fiMQSP\nK8DDI4cY/+Pj40hkGB8fV7lcfs7r4h87XzGnxBKYHxS2pBhPPA7SoYvFon784x9rb29vqHstssv4\nnp2dhfdKMLrVaunDDz/U2NiYHj16pNPT0zDynU5H3/3ud/XjH/9Yjx490traWjR3A1QCBDG0Tpv5\nnN32+EQKP0mSvKRvSdpM0/R/SpKkLOk/S7or6SNJ/zRN06Nn5/5bSf9CUlfSv07T9K8+wfWfo1du\nomGy3+HvL0L4L/rspvM9OIIy4HwQOm2EUfakAVLVisJHsDkHpINlBzFAAXU6nWgeVSwW1e12o1wc\niuHs7EyNRiM23oDzv3v3brSzZZGANAlgVatVfe5zn1O73Y4gJAiLTSzYZ5f3J3jY6XRiIeLBEIsg\nv997xFxcXAzlzTsFQDrg/v5+bIjuKJHnYpGByqGsOHd6ejryl8/Pz4P3pfaA/P1Wq6Xj4+OgpkDW\nNIFzCg1vZXl5OVI92+221tfXY04wXGRfoEgxfCxWp4lQZMwJhWXEUlB2cMooGZAvz8azEwTOpklm\n1wTKHUWMIkc2ndahY6s07E0wZgRHnWZDmXNfxsdbSTglwTlc0/l3ZIP34h28EynX7/V60c6D+2Pw\nt7a24nmpQL+6uopeN3gzZFpBz0HXUJh1eHgYYIg+Ti7LpBDTDTRJkojLEc/64he/qPfee0/1el2V\nSkWrq6t6//33tbe3p9XVVb399tuq1Woh2xgtjxEQXCbj7u+D3vmkCP9/kfSBpNlnv/+epK+nafoH\nSZL8m2e//16SJJ+R9M8kfUbSiqS/TpLk9TRNX/ikWWR/E9LPKmhH/Zz/SWidLC10k9JHyTDwLN6D\ng4NAHLje5A5TVOIIwsv04am9+RSNyKAApqenJSkyemhlDN1BUEoabNRBH/NCoaC3335brVZLu7u7\nevr06ZByIF1ucXFRS0tL4drOz8/r8vJSBwcHEfgkCAVvyqJqtVqan5+PgCeBNlAqmQ0s6CxdwUIk\nqAzXPj09Hc/nSgmeHGqDjAuMBLRTu90eapVQr9cjo6PT6cRCRBmTKYIR92ydRqOhk5MTzc/Pa3p6\nWt1uN/ofUc+AQuPdms1meAjeqx2jiHdG6h2KhPgMgTzmhHdHmRMolhRtILL8rhtOvsczIgNQJXyO\ngaXAzddINqPK6TiPLWAIUN5OYfLerDnGHWBA7QrvkjWoeAlkQ9GjB3kgjoP8IZe819nZWdSJ+DgS\nGCXJwenHRqMRAd9utxsxFTdu6BpqR5CfycnJSAfd2NhQuVzWl770JZVKJS0sLOib3/xmgI2PPvpI\nDx8+1MbGhkqlktrtthYWFp6LRU5PTwfNSPuI2x4fq/CTJLkj6R9J+j8k/a/PPv4tSV999vN/kPQN\n9ZX+P5H0n9I0vZL0UZIkP5X0jqT/fsN1X0rhZM/9uN+z33vRZy+6H0oc9IabhQAdHh6GkEA9gEZJ\n4cIygyr4n8Apz5TP59VsNjUyMhJpXM1mc6hxE3wmgSrSzHhmFhRVirj19+7d0+Liojqdjg4PDyMG\ncXV1pXq9rsPDQyVJosXFxaiuBG2zIEdGRmK7OIxet9vV7u6u8vl8dNbEVXcFz3ig4EG+rVYrKjnh\na2dnZ4dSKEGGKA08IbbxQ6mzQGnM1ev11Gg0tLu7q62traiSZaxQhMyT01V8JikC2t1uv90FyuT4\n+FiSouKW7xMQRomB7lzuUIoElx3RersE0Ks0yKDiWuxrW61Wh2TWg7goIpA13ycFmPHMxlSg4zyb\nKRtUlDQUT4BSArVnuX7mE8UNR+8NAb2GgKwbFB60DfQYlarsAAZdKSlQOB4f3h1tC6Bm6vV65PBP\nT09HjAqvGEoWLzxJBhvm8N7MFZQSz8TnHsN6/PixdnZ2VK1W9dZbb2lzc1ONRkMLCwt66623NDs7\nGzJNvMdjaQ5mSZYoFovP6a+f9fgkCP//kvS/SSrYZ4tpmu49+3lP0uKzn5c1rNw31Uf6zx03oW7n\nDnEbX3Zkkf5Nf8te293erIdwfHwcdI7zd/D0KACUggsDf8MQgOj550qRXvNnZ2fa3t4OrvHo6Cg4\nQTYHIXtDGjSWKpVK0T2QHiDeXIzFMzMzE7tWJUk/m+b8/FwPHjxQr9cLHp3UPHrx8DwogMPDQ62s\nrOjy8lJbW1tRRem0gdMAzq2en5+rXq8P5ZdT1k/rZuYDxexZKgRgoWGkvhKlQhijS1FMo9EICoP4\nRPaZMCh4KixmECxVp6BLKBf4Xj7jPv67bwiC0qDfDsFDSaHsnXcniM/ilwbN2hi3+fn5eHZHngAC\nlJgX+HggWdJzacTEqgjQZzl6V+iuBHnPNE2f6xpJ8gIplp6x5Fy9ezJ4csgTaZzIPvPpTdvInPGf\nT09Po30Ca9lrA5g3SdrZ2RlKrWZdkZ7L++OdYaj5f2pqKuaXNQCFSofOdrutz3zmM3r77bd1586d\nSE3Fk/OqcOSbfz4Hfx/HS6+SJMk/lrSfpunfJknytZvOSdM0TZLkZdGEG//2h3/4h3xfv/Irv6J3\n332Xe4Ywv/CC6fPBWOf8X0b/+Dmu9JlwR5ggN4TFuTxpwDd6dgFChkCCDkGAnqbIRBMMBangolK1\nt7q6Gs8+PT0d1/AiGu8T7qhhZWUl2g0kSb/atFQqRQ0B44BipZlXt9uvPjw8PAyukxYCxBu8ChdU\nwmKnaIz7+pizqKEUHKU6EqXHjlMDLBCCuswPabKeiQNX7jnvIH1JsV0hsuZIzYvBqEU4Pj4O152F\njGEnk4uFy/sQ1EbunHbgXOflocZQ2HieHuT0HHTPnsGQYsBRsoyne1AAlFarFTRTNlXVqR9vuwC6\nZex8q0NXWgQcvdUx48EzQ+vA/zPHyMjU1JSWlpaiaIrnw/tst9s6Pj6ONFwCu1NTU+H1jY2NaXZ2\ndqiRIXtW8E7Mjxf5nZ+fa3JycmizHmgk0kO9tUepVNLDhw/16NGjyFJqt9tRjY7sNRqNWPt0ViV7\nDfCAQXzvvff0t3/7t1Gfc9vj48zGu5J+K0mSfyRpQlIhSZL/V9JekiS1NE13kyRZkrT/7PwtSav2\n/TvPPnvu+N3f/d3nPnsRB++HewGuwPn/k1zjpgNkdXFxEYoDBQWa9FQ67sXvWTqHQimMBUhqf38/\nWsSilHK5XBRi4TJ6f5ZWqxUu69XVVTSVyufz+v73v6/XX389tgxkIbiAgZJAQPV6Xefn51pcXAwj\n1ul0wrWFtpEGBgalSqUp/C68PYUopCJSAOXdMVFgKByQi2eSSIoF5+mGKCs4dNAV2TkYQdAYqA2l\nDxXDPfG8kCOUFcr64uJCx8fHQygLQ06aKPQClA1FYlwT4IIHBuIFdWL0XOnwN8aJADqG0XltvAKU\nMsoCAwJNCDABEDgoefr06VBbB67pBtIzcxw4kRXmcwQt5i1IiEnxM/QRGVIAo/HxcT18+DC8TeJo\neId4fKDdXK7ftqFUKkUchnuyH0SlUolYD8Yb5X95ealGoxHBXcYGo8+4EmPp9Xohd2mahlFYXl7W\nyMiIPv3pT2ttbS3eEbCBfGOg0AeMOesUj5N3y+fz+uxnP6u33347DPaf/Mmf/Fz6jeOlCj9N038n\n6d89E+CvSvrdNE3/5yRJ/kDSP5f075/9/1+ffeXPJf3HJEn+SH0q56Gk//FxD5GlV276GwcL0BEI\nhwulf/aia/n9COyRdSMNqAqUmAfLECwWBguZgCTGg8m9vu63+k2SQdUqSoMsn5WVlWgXQGERhgcO\nD94QRbq0tBTGwytIeS+yCHhumjtVq9V4/729vaGCGHhQlCl57h5kJA+fBlVQF7jU9FPxnYpYQB5s\ndAMKeiMzIquI8vl8IE02gTk+Po7umNKgKhXDhzFijEC9KCefQ5CV8+kEawkyorSQJ2Qil8tF6wV/\nVu7BXIKE2YQEKhHPyKkvPL3r637P97W1tZhHvw/P7dkzjCdgRRqkiGIIaUnhmTQeQPW14pQo9BfK\njDnx3HcHQ1R++9pF4SdJEh6Tjw1ptzwrNA7tlEHW0J5818ED77uwsKByuazHjx+HHFCEB83m3DkZ\nU6Qu+zg6tSP1CzLv3Lmj+/fvD9GgR0dHKpVKSpIkgrsOfiSFkcK4MyaMr9N1LpO3OX5WYght/H9K\n+tMkSf6lnqVlSlKaph8kSfKn6mf0XEv6V2lWg2eOm+gXz0BgMvzvWcX+caj+ZcjfOV1vNYwSkAYb\nlvtk8SyutDwFE2qFc1CiuNzn5+c6ODhQrVYLXrTRaOjg4CA2IYfXhxqAUiAYVSqVJPWRHLwkyome\n8HQGpNrUC1/wGkAja2tr0fSp2+13xUSIO51OVAuCEJ2CgqNmPC8uLqJykTgDNBHGkYXPPLCQUI7k\nkbMQHU1KCmWIUvf4CTLiSJV7oJRYVMwzgXfGA6XGd71vP+mqPA9uuXdidIXowVu/DokCnqpILIY0\nX2Sr0+lofn4+5BWPClmE+2eOnbNnHN3jpHMrBoZ7++/Z9QOlByWEUXYghAJ2D8TTPaF6WNsYvEeP\nHg15WTxPuVyOVNx6vT60/SbxAYARawPQ1uv1wkg8ePBAu7u72t/fD7SOZ+3eCWuFfH1kxvcbGBnp\nV4s/evRId+/eDd2ALiBW4E3sAA0AK3oC8TcMN9QgKdPEQ3zDm5/3+MQKP03T/ybpvz37uSHp119w\n3u9L+v2f4brxM4vUKZMsB5/9/GX25CbEz+d+f0fnfj8PNGWvh5AwYXDa1Wo19rwEZcDbkTVBtJ1U\nNUmRtbKysqKdnR0tLy/r8vIylDoLBk+ExeJ9+uli6UqN9EcUPIielC+8hYmJCR0eHoZCv3PnjhqN\nxlDGB1QSC6HX6+e+LywshCLgfY+Pj6M9M8HgRqMhacDpgqpRcHyfhQJ37m0LoE1oPw0SBuFhVBgv\nUiM5GBeoFowXBwoKagjFj0GhdgLZcYPEz05rMU54UO4JOR2G7KGUvc2yF8bRHRQjhaIB0XMNPC0P\n1jKPZLFsbm4OFfY4ry4N99FxisrXAM/gxpG5Zdx5fveQ/FlpiOaUG+NAZg7jzR63eL14nL4e6XfV\naDTUaDTCi8AjqtVq0eEVyojYkGc1kYbr/XdIx5yZmdEbb7yh6+v+3hSLi/28FehTnhkw5N4eHooX\n47lRdqAJFYRncdvjF6bSVrq5ERq/36TYb1Lm/pm7QDddkwPFg/CjePwcep6wsMloAH31er3Yy3Ny\nclLValWvvfZa5N1ybj6fjz0tcffIKLi8vIxeIKSRtdttVSqVcHu5FztekS45Pz+vdrsdxouF6ptR\ndLtdbW5uSpLm5+fVbDYlKVoUfPTRRyqVSpqfn9fISL/fCK0ZVldXlc/nI2h5fX2ter0+hK4YVxQY\nlBVN4Zw3lxTGyvP5ndfEmKLk3T1GeSVJonK5rM3NTa2ururs7EwbGxvhAjtPjkzwN5Q5VASeANd1\nhYVCAKW7DOHNcD4uOIsZFAyNw+/EeDBS0qAQy+WFazsaxUvodrvBYfM7gUYUGWOLwri8vIwqZNaW\np5N61pLTD1wLpcz7u5FEHhhPvDv3Vsgi8/hAuVwO5UsyAXw5TdigO6F7yGHn/fhOPp/X3NycSqWS\n5ubmoj/O06dPNT7e338ZADM3N6dWqxXPTdM+ArEYHLLKAAJvvvlmFIDhafEdWiTwzHhknrbrRo85\noakdv+MNkxwBOLzN8Qul8DluUvw3UT8fx9m/CNk7QsPN95J+59YcEXpxi1M6NBwD3Y6NjUWb4/Hx\ncd25c0fvvPNOVH/Sj4dgLAoD/j+Xy0XuPDnDKLiJiYmhTT7StN9/nAZsCCvZPWwtd3x8rHq9HnnL\neAHELHgPXGt4YgqziEuwmA4PD1WtViMjx8cWOgsueGdnZ2hXr1wuF2jJqQSUIN+lhS4bPvPsLAYK\nUUBInpEBxQQ9JQ1yz537xiD4M0iK53RvxoOveC1XV1eB5rguCp3COA6yTxwoYODgo70xG+gO2Ts7\nO9P09HS0usDAHBwchNdYKBSCmsT4onyhMVqtlp48eRJj7x4j3hTq7PCdAAAgAElEQVQyL2lIYYFC\nGXOUlFNSKHquzfcAHpzva+zi4kJ37twZouNAwgSraQrYaDQ0PT0d24WSTs2zQ3fRjgNDkc/ntbOz\nE3vcSorkBjJ9GGuSA0g+wDsvl8t6/fXXw2Ahk05jJUkyBFJQ7Iw3cs/fCbQDJsj+gg715I/bHq+0\nPfJNdM5Nh7uRNwVqpY/P0PEBzj6HF1HhqjqNkzUU0qBpEsoCQSPQRLZOttJyeXl5qEz67Owsip9I\nfTw/P9fW1paKxWJU47mr6LnJoHTqB9iO7d69e5qfn1eaptrd3dWTJ0/0hS98ISgH6CZQN8Lq/UFy\nuZwWFxf17rvv6pvf/GY0TcvlctEPn+/wfp7lQHdA0t9YGAR8PVjmcRAWrGcdQe3QidR518nJSa2s\nrGhjYyMQnyNlDp9XDDOo2GkfjyWRXpgkyVAWkVNGzlODhLkOmVEoCO6HIgT1YoA9g4P7c33mhtxv\nlDpZMBMTE4HsDw8PNTc3F3PC83Y6He3v70cMQho0NUPhgcDdWGCkyGAjJoNH5Bk5KGloJs7BiDqX\nPzo6Gq04dnd3Y8tP+tIz/hRfNZvNMFxJkgTFRWUthipN0+g6y3MfHx+rUCjoyZMnoTy9HYp7q6xl\nPIXLy0stLy/r4cOHARyQH5Q78umFaa4rHFAiI3x2fX0doIq5LxaLStM05vkfNMJ/kbK/SXGj5D9O\nqb/oPlnvwD8DmfO7c5AIrO856cFkgrFzc3NDBVKgcZQ+CoWUSgLE0EKlUin2SEWYcW1pPXx8fBx8\nYqFQiAW1srISAl0sFlWr1bSwsKCZmRmdn58HovnSl76kYrEYLYlLpVJU4pKOCUfMosUYJEmi+/fv\nh1tJf36Cbc1mU3Nzc8FVMg4nJydD+5YS6wABSYNdmgiEUvxyfd2v/F1eXh7K20/TNJ4RN/rq6kpz\nc3NaW1vTBx98MNT4jrn0bBr3zlDaLHIPNLpig0sH8XtqIAe8PNw/Sh0ZT5J+HQRpo8iQU1keo+Jn\n5pq58gIjlCyByVwup8ePH4diqVQqYYgIEO/u7gb16AHmbrcbrTrolcQ7QC8wBoyJU0b8jnHzMeGZ\nPQ8fzwb0DRgplUrxNwLa3W43eH6K/6gix7DzbGRLdTodtdttnZyc6MmTJ+FtbW1txb4NV1dX0TIF\nKo+ECUDP2Fh/D1uCrNBBJEhArxGHmpycHEqzRqYwEAAS6jCYb4AiGUKeAOJ0z22OXwhKJxuAfRlN\n86LjRVy+Lx4/1xcWCBX3GbeeSXAKCSQqaQjtgGoJQIE8WRjcq9VqhUvnHoGkoGO86ATlx9/h7U9P\nT2NzBfryLC0thbJJ0zT6yTx8+FBzc3PR/Gx2dlb1ej2appEJhFIjV/j6+nqIm6xUKsrn85HGSYfB\nZrOp6+vrSN3kXUdGRoaqPkH20oD3BaHt7u6q1+v3JqcJ2t27d6OABaXMHNCvyAOnhUJBc3Nz8e7O\nTzuPn80qAcFDYznqwngjF1ApfAdqAmPifec948TTBqW+ImR3tM3NzaAS8BSQP56de4HskY9GoxEA\n4cMPP4zsD6nv9QE44JW3tvplMVBAIGf6ALlhZf5QTKSRcm08L+YUWcfAoDBZM4wh2SfX14NOpcgW\nm9EDHEhSgMqbmJjQ4uJibNiyu7urQqEQNOXh4eHQmv7BD34QFeasR+QG40CL7zQddGHFw5yYmFCl\nUokAPzLr8R3eD2WOt8v7IiN8H+qVsXGvAnCLl8f5udygtcZtjleu8F25g75cOX9SqoafX/T3m3h/\nJgqrKg1S81yZuDvG86VpqmazGSX3vV4v0AaNtLzC8Pr6eqg7pmc4uOWG/iCroFgshkvHouz1etrd\n3Q0e/OrqSnfv3h1qD0wmxtzcnKrV6lCeObsMNZvNyOSAA0XZHh0dRWYMKZ5ra2uBrDY2NiKIDA1F\nQYrnz6PkSevEdYa24XlA/exn+sYbb8SiAXFiVPP5/FBbYhbTwsJCVFN647dsLCbr5XG4F+CFVFNT\nU2q1WhGkw8sgmIeRdj6bxQraPTs7i2pqDwpfXl5qaWkpdlaCQnGaCOQMp4+CZ5wPDw91cHCgJElU\nKBQiuC4pFOv19bUajUZw4yDaWq0WcuGUHJQCqB6QQRaXx7E43DvyAC+GEPpqfn5e4+PjQcHgoeIp\nU93tlJnHmwqFgqrVamR90STt6upK3/nOd2JvhIODg/D0CHwCILa3t8MLkBTxmbGxsaBxmO9CoaBO\npxOxACgwZEVSGCnXZdm4hq/1LOuQJMnQLnieveNyedvjlSv8m1C4K+WPQ/dZT+Amlxgl49f38x35\nYW1BaFTCuoCDtEibdCuPkKDsWez+v1+PtEkWG5OKMqc1KoIKqlpZWYnFfHV1FZ4D6Mk3acnlclFd\ni5uIYcEw4DpWq9WhdFIKwyQFrUTgkCwJFAPGA0/BM0NmZ2fDI/K8fO+6icJbW1sLhCUNWujSgx9K\nh7FjocJvVyqV4EN5D8++cV6c8XZky+KUFNyqt67Ai4LrdpTm+dTQJHDaAItutxvG0fv15PP5CDLD\n2UND8BlxHgwxKb+k3c7MzOj+/fsR9N/a2oqxgNNGqWU9FZ4ZGXUviXdlbr2dCJ+zljyVk8PTTkkS\noEEdhhPKr1QqqdVqBS3Kc5HJRLHf6OioHj9+rF6vnyG3s7OjJ0+eaHNzM7x1rs8Yul5IkiSMDzTK\nysqKqtVqZLcRCGafac5znp73RC4ZS7xx5IJ38TRQb71Ca2/GkUAtxtvjUT/v8UoV/svQu6P2m87J\nUjY3fT+L5JwS8J89eCYNBpYJco6Se8FDwpuC2Dwn3C00yNAzgqRB21YUI9w5AgtfmlVC8IegcJAX\nlbQcuLlUKfrmFLwXFZcjIyOh8NM0jXbE8KosSIwbFbVspYjyp8Ixn+/v1lWpVGL8SW2jEI2AOa0t\nqCXAQ2KuvJjIM1yYu4uLi+CcWXSeSonS8AIdaXiDD8YEZM04Y8RQTJwPyvYqYqdhyLrgemSpACic\nAvLeLd7ci1xtlB+xC0lDBjxJ+vvvfvWrX9Vbb70VSQTtdlt/8Rd/oa2tLc3PzweFwnMyTsgYwIJM\nFcaB83l/7+7ImDu6zXrS7vF47nulUok9mokBEVCm/QNGGMOaz+e1vb0dMY0PP/wwYlfQZEdHR1GF\n6ymuTiVBFbHfwaNHj1QqlcKY0ELEd+rK5Qa9gxwo+vv7enXvBJlAflmLGCUSEi4vL6NC3pv7QWPd\n5njlCF+6eU/bLBXjf/PBvenvLzr8ev49LL/z876AOdebUJ2fnwdfDCpC0XvalTQowoDKAAH4YpY0\npIR4R+ID3qSMBcFiRInSTTKfz0dztFKppOvr60DXvDson63cjo6OYrct0ifh/NlOkPP39/dDUdM7\nHs6UJk+44/v7+0qSJJqLETTE6LCY4ZqlPr9MEzcWF/ODooHK4W9e3QxqgjLxzJBsuq3Pd5ZK9Mpf\nkC0om8wRvoPywGBDheC5gaR5T4J7VIpOTU1pe3s7+F7eBy/J+7KA8End4x5vvvmmfvmXf1n1el3v\nv/++5ufn9eDBA/32b/+2/viP/zjoMQwQgVQ/AB9k1bhRu7q6GsoQQq4kRRKC03nOZXNQPY0C5f19\n60HkxuWb8YAau76+VqFQ0A9+8AP1er3Y3IfaD1e6boRR9Llcf49k4j4EZekVxXdmZmaChkMusnLi\nGWbEgTzF18eLzDXeHxCCUSBO8vTp0yH2gCyj2x6vXOHfhOCzStmplJedf5Oy989Y3I7woXG8sMTz\ns73/hXsACJQ02NuTKjzv8OjZKNyPzBfQHt+dmpqKBexUE3/n/eHoQZCch4JDWXqwEXQFVw/yB/3j\ntruHQU9xlOHjx4+DG6V3PjnfKEHcbuiYi4sL/ehHP9KjR4+ij/3JyUnULnh6Jt0ODw8Po37A74+H\ngWJhriRF9hPxBs+ucoqEMUE2sime0iD46FQN7wVyzuVyEbdAgSE3HgcgCA4YcLSOQkLJVCoV7e7u\nRh2FGznGh4pLTzm9vr5WuVzW6uqqPvjgA0lSuVzW2NiY3n//fa2trWl1dVUHBwe6vLzU9PR0eIcY\nTAw9Rs7lwQuJWCfw305RJEkSG4p4m27mA0VLoBRgQjwGSgsKjQ6o9NahToTssu9973vhTdBPCUPN\n2KCAASxXV1ean59XrVZTPp/XnTt3grLB+ymVSuHN4IFDzSEj7qm70SQmKCmUN7oAPcA1eZ+9vb0Y\nP+az1+tF3cz19XVsV3rb45Ur/I/j6J17z1pWvp9F7i+ieTg/G/xA4WMIPEDmnByuqafpgfq8P4qn\nAUqDJknSoK83aNOpIgyB5zC7G++IkXxfxm90dFQnJycRfOK5USySIvgEigSRwMGS3YFCOT091eTk\nZPTpp5UzSGt0dDR65/sWj4wRAefT01O9//77euONN2KOUNggLhb1/v6+arWaJicnh3rD8NykvHkG\nA3MHBeCtFTwrw+eebBKnaDif85AF5tKbbZGayXWdwoFmgw7j+o76QMJcEyQ8MzMTcQ2nAEB53AMU\nyzM6z0uMgRTSp0+fanl5OSg9KCjonHw+H94JY8B7AXzcOySpAK+FBmzMBx4CmSsAjGKxGEbYA5R4\naJubm7HX6/7+fsgS80nMCQ8gu17g+ZnjcrmspaUlLS4uan9/P6rRa7Wa1tbWoqqcLDRSNQEaHLwP\ngGNqauql4JJ5BTx5vI56g7m5uYjB+HOTXkv8AOPhDQJvc7xShf8yZZ9F8lkKJ6vonaf372Sv47/7\nIvcmXkyuB7OkgWE4OTmJ3twoTNxjPsNt55rOv5N37H9DAUkKtA+FJClyt7mfoz1HIAQwQRegfgJK\nXrH6la98RRsbG3ry5Im2traiopFAJYFp8qFpATEy0t+FimAgWToEq6kQ9jFvNpv69re/rXv37sV7\nkjlRLBaHukeC/Ly+AcQMuiZDCAR1cnISAc+JiYnYWIX3dvrMZQYZQKmiiCXFPEJPYNRB/HhixHKg\nAFEKzl1DXcDfExdwmjCXy8WuYPC7nEsxHGiS7+FNUNVbLBaD00d2QYreZiMLkDD+NMvDWHEP3oGM\nLuIM7DsLZch4IGtk1fi5vDfKHOV2dnamn/zkJ0P7yKZpGmmXIN3Dw0PduXNHlUpFSdLv0fTFL34x\nkikWFxdjL4U0TYOXx0snywvj5ACLd+BzadCBFdpO0pB3D/XGHDj46PV6UV9CUoHTN7AFl5eXQxXl\ntJNg9y/fDe82xystvLopMJtV0jehew6oDI6bFPzHcfqgNxY9iAGkjgCz6Njz0mkeBB4h4llx9b2c\nHgHx1DsQN8pV0tD1OR/agut43jycLAgURYigki7K36+urjQ5Oak333xT9+7d0+PHj4NGwK32fHB3\nkxm7qampqGwFfSVJolqtplqtpsPDw+CBUTxnZ2daW1sbEmiCa2yduLW1pddeey3oLs+KcqTMgmWx\nktlDmieKByrH5Ygx8kre7HizuBkzqW+MvUOjB9xY7CxoZAEQAKiA1iALA5nlOVD6GFCug+GD+uMZ\nJiYm9NWvflUPHz6M7SpRyOzTy7sgf168xViR6YWceCwKD4s5wXCg0AmI8rx4IIzf3NxcBNDhxEdH\nRzU3N6dGoxEUJOumVqtFOm61WlWr1dL4+HggclpoZD2RbEzCPXbPjgMg4b14vQPrC0+ed/J4jsuJ\nNyikvxSIHgAEaNjf3485dJro9PQ0tlFFznwNT05O/sMO2maRun/2ovOzfDwLNKuwue6Lvuv38uwc\nrgN9gqtO4IxFNjExEcoVtExeNqguW0TjvDELFVeRwA2T71klCCJVu2wMgXB74Rdpn6QMIswE3cjR\nJ/eYtLDx8XF94QtfiL1g33vvvVAWIGunt7jO1NSUnj59qnq9HhWdExMTevToURgCqjt55kajEegc\n1EeWT5qmgd6oKGWBucLH2KG80jQN7wPj5EYCpc6zMx9w0c7zo5iRF7w05h3jgXflGVme3UKqK9WZ\nUGCeaohnyXPRE0ZS1F4gB2maRtXy/Pz8EKW3tLSkz3/+8+GFYVgorOM5fGcqN4QoOlI5QcEoNffo\n8EaZT+f7uScemDSobRgdHY0MsvHx8fCQ5+fnNTo6qoWFBdVqtfidNEiSIbLpo4wd3oqDN1/LnOux\nGgynpPAa8FBdt6DY8S5Yv8wVngrjSF1AuVyOFhenp6dqt9tB80FnSQrqjsK36elpHR0dRZCaeBWe\nN2N6m+OV9tLJIvysUnaX28/z7zsfz2dZTt//9+9fXva7BnpLYSbZA6Zw2gcHB3rw4EFkpSAU8MBO\nt4AQmFwogWy03xGHB4URYDJVOMc3Q3AunGsh2AQUnbOWFFkOCJ9TB2RxfOUrX9HV1ZV2d3f105/+\nVCcnJ9rbYwvjAf9NBs719XUUav3mb/7m0OIgnuBcNt/L5XLa3t5WtVpVqVTS1NRU7JULZ808SYOq\nRt+BiPEDiZE9RZCVrJAkSWIhgbaIm/hB8AxFwzw5fcM8YGhpBc2CdGqI85AvPDLQPfQbaXcYtWKx\nGEqRDTwIJkqKlgCS9ODBAxUKhcjhhiZg+z+UBojWM1dIDySWwPthhFy2mHc8VtYUitcNA/ECqlVH\nR0d1584dlUollUolvf7667q+7rcVyQK3bKYTzwGl5mvdlb4reYy4e9G+FgBy3g/Hc+v9vZFBpzlR\n8vzsdSv1ej0AWKfTiX+sbdA9nvbISL8nFh4WGUuASdYRXvFtjldO6dyEvv0c6cXZNy/6u3sKN3kP\nLIqDgwOlaTqEXlxoQAOge6m/ww15uXDOjgydj0c5IZxeoEUGA1wmQTenFjyFUBqu5nPeGaEn15e0\nSlx3V+gEzrybH6iYHGzomgcPHujevXs6ODjQ48ePtbu7G+43BgNhTJJEX/va11QqlWIHL0fKeD4s\nXpDq1NRUUEAYOA9oemk9c+NBWcaK350ay9YuSIMUXC+UwtC7ckBGMCicD0Lluhgdxg8DyNzj1mNk\nyKKisI54ztjYmGq1mj796U9rbm4u4hfIBMoFOR4bGwuDzoYd3k4X+hEEi0IFrNB50z0Mz7PnXZEN\nYkYHBwdDVabIOcqeTXRGRkZ0//59raysqNvt6t6zZn6gaI+DEHvCk0VWaSTG3HhMxfWHB5mdfuF8\nnpW1lJ1398h5X0lDAVdSKpFhCsMwFoVCQfV6PUCHvw/eNXKCkqfrKUYcww/fXygUItUU4Hjb45Ui\nfIRQerly/1mOFxkQVzy9Xk/7+/uhNCkWgkvO5XJRgXp11d/QenNzMxYiyti5fl9UBG8wGCxcD/J6\nOqi/P6jPFRrIXRpsUoGy9Ta5CAaBHhQFvLbn+aOYfM/TNE2jGyZpe/l8XsvLy5qcnFStVtPe3l4g\nHdx+UjArlUoE+nh27ufezOTkpObm5rSyshLolc6eUCseiKUIi8XL4gTh0U4W5EYLAKd3QFwoXhS7\n0z9OH0AneLYTcY80TSNI6262NzNjvvEqPJUXgzs3N6eZmRmVSiVVKpWQC++w6cFBSRFLQV7IFEN+\nMTYUJXkw3DcJLxQKajab4XFMT0+rUCjEs4H+oTxnZ2d1cXERnHu5XI4Egbt372p+fl6rq6uqVCpa\nWFgIOpL59IA51NfU1NRQIB4vGAOJAfVePswXKNlpMdahG2gOFC7zLCl6/XAQu2JjIIAUgM+739I4\nEO/IjRJzgaJHJomZeNsPjAnyCDgj6454idc83OZ45WmZ0ot74EifLJMn+/3s59lr0GCJhY3AUNzE\nIqEz5MHBgZrNpu7cuRMK2LcdA2WDFjBmICZ3n3k2eEEUvGfbIEiOOnkH0Ih7IX4PjIWjHxYsNAkU\nw/j4eGzujOvq2SZ0HcRVnZmZiUAtAVqQZT6fH8qdZxes3d3deK/r62sVi0UtLCxocXFRd+/eVbVa\njecnUNnr9QtpCE5irFAcILZcLheVv61WKzojOgrEcCIHjJmntDo1iMJEATHfkqIYjcXK+f5MoEoy\nlVA+ZLEUCgXdvXs3jCndKQlk8n2Uy9hYv3+8b+tHPCeXy8VmNaB/DI7z7cwvabQU2OGt8DOdTDGk\nGD8vDisUCpqfn9fy8rImJiZ09+7dKKqTBkWDKFiAiicLcA6xDM5F4QGo8CxYpxg9lKrHOKQB5eep\ntCBw1gTeEACAXljulXtAnX4/eGYoXTLXMDLMOdlhADrejXRY5ATjytrhOt7DCe7+5OQkDPFtj1eq\n8D2QmT0+CdK/icp5GT3U7Xaj0AgBYHGtr68PIa+joyNtbGyoXq8HrUCLABSip/Bl3UXuSYDSXUME\nxIN90qAilw6Yrlg8FuHZBJ5Z4oErro37jeChULkv54JeyRX25/PfUUxs5EJlI2NKLv/U1JTu37+v\nu3fv6tvf/ra+/e1va3y8v9vQ3bt3tba2pkqlMpQhg0BDdaCsfas6EBzfIUWQ1g6es43yZl7ggD1v\nG28Go8T8ZgOCeEQAA69GZYcpT7XFCKFoMaZsLTkyMhK8PHLoRTb+LNIgeIwX4kVNJAB43AnZw6j4\nPIKuyTaDCuRv3CdNU925c0dzc3NaXFwMxcg4ZscGxcxzg9j9XXhXDJMbe+ST+Bj0hrekwFC7gcGw\nAJwAB8w7yrjZbEYGEjKLUnbvUlJQcaROUkwJJcoYsTHLzMxMeKWsOQdieGbomJu6vfJ3ZBUv1dfi\nbY9XnqUjvXjvWT/XUe7LXjx7Hee7Dw4OIrBFrjeDWq/XtbOzE4Gyra2taKsqSXfu3IkNpFEU2Vx6\nr0ZE0BA6hBr6g8UFkiH44641ASt4PryAbHCZnxF83g9BgrtFIfgYUqADCsJ1lzRU2NLpdFQoFKIK\ntFKpqFwuRwogGSETExOan58Pt/zevXtaXV3Vw4cPtb6+rkKhoIWFhShf5xlAWGSzgMZoV8v8oWw9\nswoX++joKFCtpCg8wpgQUEdRSgPFJilQpPPIKBYMAnONx8KeAbjv7n1AQYyOjkZmDTxzpVIJZc81\n4W59sxsUDcrAs4zc00OpOYgg6Ifs4U1wP8Z8fn5eJycnmp+fj70ZQO0YJ089dJAC5UAGGcFJgAgg\nhOpZDp43mymVpQK9fsEVPnLvacqMPxXiLu9QjXTcBFCBsqEGi8VidLN1Og5ZolqZmgLG0QO5SZJE\nRh/rirnl2TEKyDI6CvDlbbiRL/TLbY5XHrTl55cdL7Nufp3sef57q9WKUmYKG376058qSQYdJV0g\nOO/q6krlcjk2EOEzqa8Q2WvWU9RYFCwM0JhnWDgy4mdfBCh4lJ0HJaVBiTs/874oAc9Z94AUvVBA\nalwHBebtZEH8jA/KdX5+PrIVWOC9Xi/65LBj0czMjJrNporFoj7zmc+oWq0Gl+kUEkKPcoQXxe2m\nMGt2dlbdblc/+clPhjh6qCoWEoifsWUx8Q5uLJ0a8xiBe0zZKlPP/gC5+cKVFMacdhGlUikMHT1S\nmEsvRsKDcpoBt96VNMoApePUFYqD+AqUhOfAFwqFyKCB7vMMKMa/2+1GuiiUUqfTCWWIPJOmCEDy\nLChiDKBalLFTOdB5jCnjIikoSOI4HGR/YSCJUyCTjI2kkAfSXUmbZdMfbzXR6/XCY0MGUdDeOZV1\nRc0FmXHUxVAx6/oAQ9hutyO43ul0IngPLcW1XM95vOHnPV6Zwn9RsNYDudkji94RbOdm/Tw+p+kX\ni7TdbuvDDz+MwWYrvVqtpnq9rlqtFr0+oGhw7QjWgB7a7XZk4qCApcGCR4GCGlF2KHTPFul2u8HV\njoyMDC0+OD5P6+T9PE8ZRIG7yQLB6HjKpAe64BLJ1JEGe5lCpXS7g0IRz08HqeA9gfbZgavRaGhy\nclKLi4tqtVqxeQaKzY0b8yoNNgOX+ot+aWkpDOj+/r42NjYkKYLrGGzn2THEWWqE8WMuMXrIlKSh\n0nYoCpQn7Q24Logao0yQe35+PlA1ip/MFKgBlDvGD+XKfciAwdX3Sl3nfJ0i8Zzyk5MTFYtFzc3N\nqVKpxLVQ6mTt0LaCWBPFZHDaGGKUI2NL3Ovo6Cj2hk3TNK5LbCdN02gYxxxxDY954ekR+ERJIqfI\nMYp5aWkpPCA8EZ6fbBjk1GMFzFmSJCGXeHEUWAKMJIUsADDwwlnX0JnQS9yHWA7vCJjMxkw8MQP6\n2TeR4e+3OV55e+Tsz1laJ4va/bysYchSQ0z61tbWUI+N7e1tjYyMRBAmTVOtrq7q8ePHeuutt1Qq\nlXRxcaHFxcXg6C4vL+Nz79jIIhkdHQ2Kw1P4PN8XhQZCdMXvPDILDT7Ps2qw9G6InPLJBio999zz\nsFk02eClUxeSVCqVwjB5iTnGRVKUzsOjg0JZ0EtLS2FQCJrxjDw/74nxwMtyfpdsk6mpKa2tralQ\nKGh3d1f1ej1QNnPj9Q0eDPe4kQe9mRPOcc8Kz4f35hooTOZxYmJC1Wo1NtcGyaMMqtVqeJLwwqBl\nDClzBqeOYvBN05El753u8RZpQJNVKhWtra1peno60jjTNI3gNgjWs0x4X6cpUdjEeEDJ0H2etMC2\nnIyNK0aAAXNFT5k07e8NUK/Xh9Yw6dCsC66FgaPJGoYS2uz4+Fi1Wi3aGjC+0C7QOAAq0L8Hvqki\nJsX16upKlUpFrVYr5tdl2auWAQM8E7IyOzsbAM5BCp13JUViBWMmaagK/zbHK6V0WMw30TWOwDgc\ntfs5L4oHXF5eamtra6hydm9vL5QgvBhG4f79+1pdXY2JR0Eh5BcXF+G6QpmgIM7Pz3V4eDi0SFCQ\nKFXcSZQRShehhqJwdAeHj1DioqMEnQoC7YOYQE+ONvAAnB5gAYNMyVJy4+vctGeigE5zuZwqlUps\nEO3KMkkSVatVXV9fx4bsjCdZQc6ZgmRRChhQXHh4XQww3hAIk+9IgzRcFjdBNfeK3BtwhI9semqh\npKFc//Hx8dgdaWVlJa7N3rUoMqfSyL7J5/OheJ0K5N4YGagUb+pFOiXrg3cADHS7XZVKpejP4oYP\n+Wb+ZmZmoiKU6zmggHpwZO1rrdlsRoATrxEaxGMlTgsS1DBpjC8AACAASURBVD44OFC1Wo15InUW\nr5I2GdQMUJ2KQoUKQZ7wOPDG8TKIL0H5eYU68jc1NaWjo6NYp3iyALZisRiplch2dk2wjlk//lm3\nO7yfBOPrcSUHFnD//I5M3+Z45Vk6vsCyx02oP6vcbzqPSdze3g63LpfLBXpgctg0AaHhe6RUEWxC\n8SNY8JRYZwRJUihXFgZK1tPUcPGY4OvrfltflEq73Y5YgccB+A6K33PeQVIofRYeAgfNk3UNQbi4\nm14Ryj1cmEmTQ1m610GF6/b2drjW8JVjY2OqVCqBVjGajAcKned2j4dn5J6ezsd3CUyTwkarBpQ/\nWRQYThSZeyzuUvM5Mkr/FkmR5lir1bS0tBQBTigqQMLy8nIoBc8V9+po0L0rFlJlnYPHkBNoBK37\nGkJpADjY+QzDROsMxoTnRT54Z65H2iFxDN+5LetVwP+zPyxywncODw+HsqZmZmY0MzOjRqMR6Jye\nPxjj3d1dHR4eRtYcHD2tOLwVAa0bPE4A7XJ93d9di1RfdADr2IOzULkeu/LsLBQ0dBqeHYaW8XAv\nG9oYDw4gxvhzbcaZalvkhXWEjrnN8QuVh4/ikl6cuZNV8nzmSP/6+lo7OztDWwrSwhXXX5Kq1Wps\nOA6XSYMivy/Vn61WKxqCQUN4njreAm44CgrBAOWBhEAUpMd1u93INGFv1263q2q1GqjQF+zZ2Znm\n5uZCiblCAcmgvHK5XPTRR3leXFzEJumejYEgZgO/KBSvKWAR53K5KKian5/X5uamms1mKL96vR5t\naL3oBsXLWOZygw1AQFW47XhprtTGxsYicM7Yec42SgvFRTdIntmDrY5GXR55ttnZ2aFMFhQ18sGC\nBDW7FwY/7UG6kZHBrlIYSL6LkqfPCkVTvV5P5XI56C1/ZtbLyEh/X1jv3+OtH1DuKFr30uCxmZs0\nTaPHThaFelYYyhBkCwpmbTEvaZpGwzzusbu7G3PKWCJjFBESSM/lctGdFc8bWeIZJMX9mHPmGA8R\n+cdAcxD3whuDrpIUAW6MLs8lDXbAQ//gIUHPMD88Mx4cAIYsOOgoaCfG1+md2xyvTOGz4FDW0vOc\n/k3I/yb6x8/vdrva2dmJAggUNZbeA3MUrSB4bIBN0ASqxfk/XFEQJRPJuQS/UM6UsrOI6LsyMjIy\nFGyE2oHiQMhyuX7xB1kBIAev/gOZYzgkRdZKqVSKzAqEU1IYJw6yD+D1pUErZ28shdJ1N5uAHgh1\ndnZWtVpN6+vr2tvbiwBtq9WK69EJkbHz3zEMzAW0yPX1dTRJI2CHokUp7+7uamJiIgKg/E8aLoiY\nBQ2qh7YB6UNvUZdBqwOeZ3Z2dig9l7GDJqCfvyNwUJt3REXpYjDJ6ycA6EYV1N3pdII7zhor1hbl\n/Sg+AA/eFnUOl5f9DVHm5+eH8tJZA1R8oiDJgCmXy2EgkAu8KGJKxCgAH/V6PWRP6u+RjLKFyvTe\nS6R7Qp8QsCYLZm5uLtYU9SAvypDD+GDgeEf0A7LrnqMrcYK70EGeBippyJN3AIuhZA5B8dBP0qCB\nI/263APBWyJofdvjlSJ8BoAJuino6jTNxyn7Xq/fMqHRaIQi8BYJXIPdgHxQEQhK510woElAL26t\nmTTn8lEaeBbcmwwSOGrPQkGwEfQ0TaMlrKRAxgTqRkZGVCwWI1sC78QVoPfmyOVyWl9fD2oCZQ9V\nhKvKouE5qQ3wLALQC1QPY8ZC51r37t3TxMSENjc3w21tNpuanZ2NzokoLhaGBy55NhZskiSxO9L5\n+bkWFhYiiJ6m/b7pGBRvr+AuNiiXd3HZ476+twEZKOSzM9egxVKpFCmjGFXAAwVDzC9dVXO53FDW\nEymSnv6K0mNrO3rfIJeACIykp4SmaRoo2GNIJBlA5+CFnJ2daXd3NxA2Xo9XkUsKw4ZS5p6sA0+f\nJBjNvKHQyPSZmZkJxe19Z3xNoxjpIc/9MOBcc2JiIigfZBeDQBIFB2MMVUINCXLD+vHWDDwLsk8c\nwvs1obR5JtYgmV7oA58rUj+R36OjIyVJEnRXPp8PD5w00tser5zSYcA4HK28iLvPon8UeavVUr1e\nj4V6dnamZrMZ7hdc/Pz8/HP8La6fR/LJM3dB8yAP92QBzs7OPtdDB4Hy4ig8BBAlaBFXbnZ2Nnq7\nE1iDNyfYLCmClCgZ6ANcyCRJdHBwMFSINDo6qsPDw0Ci6+vrIehpmqparWp2djbQJAsTlOHGTBqm\nPyQNBSxPT0+1tLQUFAPoDGTLebi0KEjywt2N5/mY95mZmeCNkySJLpvsvuX7vsLdE2sh6wiqCnTH\nuHkePMiNuSKgjsydnZ1FERnPjRLFYKKYMQxQTp5PDxfNs/K8Z2dnajQa0Q7EOWiekYAgKNKNpXtJ\nXkyG0vNzxsfHAyw5qIECQQGT+eJgxTdeOTo6irgY2WzQElSw4kV5TAx9QKyCA4qE58eQ0EOJQC5e\nC0YNuoc17ePkdBMtrK+vr4dagkO7MpcYBQwy38GY4mV7hW62/QLv4EkZ3W5XDx48iMp0Nm9hfeFt\nXVxc6Otf//qt9O0rzdLJZuiABJzm8b+5IfAUO4Knm5ubgUygZGhRSrc/WswiQKREwslLCrcb144o\nP/11QONMPoLtE+ruNkIMcup2uxGM63a7QT/54sI9RDnCHaK0GSfP66baEeEjJoBBg/fn+TAijqCP\njo5iYeJNQLtgTFjElOdTi4DXhLJAUdKSYnt7O5Q+ChphdqXvc46hBDERL3FZQTleXV2pUCioVqvF\n3MMn867EJUgpRBl5R0NkEw6d50ARYDhQkihG75UCJQTPT/wGAwd6J5uEe66vr0eu+ujoaFR7Uxnq\nMRMUP0qee/NO5HmT3okyBAFTBMf5KGOQKXPAGKJ82IYwl8tFQRgZR7wzaJ3nICB6eTnYiIfn59mR\nTVeizL8DJGIf0FZezyJpqBKW8cLAA9zcQ/XvQWOy/gANSZJEqwz3fjgHz/zo6CiSBMgSQu78/7Gx\nMS0uLmppaUkPHjzQ8vKy5ubmhvYZ5lkxXIVC4dZ695V2y5QGmTrScLZNluLJZvP4z51OR5ubm8E1\np2kajbRQ6u12W6+99trQgpEUgg0CYXFgEEB1nU5H7XZb9Xo9znHE4ALnAUV3ewl0+sYeLA7QhE/2\n5eVlLDQKsli0LAAQM1wqygK+FmVJSiKKS1KMF0gP953gFwaCdEBy6KEIUFbQONybMUF5Qz+12221\n2+0IxuEWO9JzOgEliBcBquVnfkdhoJBQ4J4a5zQUi5S2BfzzylEPrCEnvV4vvC8oFx9HZAhDjPKD\nc2czEmhCvDJAAtk3xEN2dnZC1ikcZI10u12Vy+UhypOfGRdyyJEfD1TSSRPFCk3IOzE2eEysG4/h\nQKeRTunPBugg4AxFiNwg4x5ERZk2Go3w4G4yaB5TQuHzfNBvoGqoFmIlBM7xBqCwqA1wsOLywr2R\nf7x25CWbTon3jRfANUulktbW1rS2tqbFxcWgZTFiyDFzzVr1rJ/bHL8QhVcofU/14u9Z7p7PEO6z\nszNtb29HEIQAJSg8Tfv97ldXV0MQHNFyf3cj3fCAMObm5vTw4UPl83mtr69rZ2dnyO3M5fppic7r\npWk6hBh5dgTbA2sIPILlQVbeAYH04KDHG7rdbmzoApUAtSJpiJ/3FDFoAudNqab08Wo2mzo+Pg6k\nAa9M7j6Imvcl8AgSXlhYiAIWApj+XOfn5xGAA2FjnFl07pH4YoQeAc2hcHhHkC8xCXhavIxisRgK\nOJ/PB0IkTZK4C7LR6XQiSI7BIp+dvHRSBx18YNDxQHhOT9ME4FBnAD+Od5IN1rIe3LtCGUsaqmNg\nrdHe2IvV/DpUuUJpQil4Winv7BlcrrDweAnws14I6NKtVRpw667kWBuAEUCEP5MkFYvF8E4YH/eG\nPOWUtYeBQl7wLvnMzyPbBg+OTBvWN7KLB4DyR7YXFha0srKiWq2m1dXV2O5xamoq2AboOe5LrAD6\nDzB02+MTKfwkST6S1JbUlXSVpuk7SZKUJf1nSXclfSTpn6ZpevTs/H8r6V88O/9fp2n6Vy+7PoPj\nv2d5/WfXHVL+V1dX2tzcDJQrKRQaucK5XL8giAo3vy5KFgTJvRASDyTm83k9ePBAq6urajQasfn3\nkydPIhMBVxLUABKEI4SacXoCIQX1ozRRoAgmAoACRziggVD4CCTKCsVAILLZbD4X9PKCMM/592o/\nz/7Bu+j1ejo8PIwgE8FxR1EepwCZgXgJnFIVKim8Glx/R4RcCyrh7Ows0g1BcsgJSp90WNJf+TzL\nb/NdgnPlcjkQ4+HhYRhcxjOXy4VMkfvfarWG0voY116vp52dHV1eXqparQbFgeFxbwWZkBRxCJ4N\nkMD5pPG5B4wR4B9UX6/XixYivV4/04x0RsbMY00eZJQGezlgsLwuxIOW09PTsf64F/9LilgJzywN\nisZQ0JKGUofxeAjyI/eShjxK1iljwXhCUaKUibXxzr1eb+iZoIDJZPNAtFNmUE4AN8Z/dHRUi4uL\nWllZ0drammq1WvSWwqv3NFr+Abj4u3sMKP/bHp8U4aeSvpamacM++z1JX0/T9A+SJPk3z37/vSRJ\nPiPpn0n6jKQVSX+dJMnraZr2nruqnk+zzA6AK3tpuPqR9EvPQsD64saRuSEN+sm4ouVeoALuhwCT\n8ojLmySJFhcXValU9PDhQ7VaLe3s7GhnZ0dPnz5Vp9MJpejVuAi9W2oMglcHch/Pv0V4Qd9pmgbV\nAz0BN0vwGCXoVb7T09MqlUoRC8CL4BkZb1AKHLA02NZQ6u8ngJH0nG4WDGgbV5usHN6VohhoIjyA\n6enpyKqanZ2NReopbRgJsjfYLhFKiUVCD5Mk6VdXgyR5lnK5PFTc5ZtegOy8KImiJcaC9rq8F0oH\nA+UBdgLZ19f9YiLmFoOD4kCuPcgOGnajgDLg2Zg3AqHSIC8fOfZsGeJPPCuywvWgFlCWfM46w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GlfmC0uN+juC8aArPg9+ZCw+wXV1dRQCP36+urgIhepGRUzTIIgaS+8KVu7J2z5TvgN55b6/e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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dog waiting to be scanned at MR Research Center in Budapest. Image Credit: Borbala Ferenczy." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from skimage.filter import canny" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "matteo = canny(mariano)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 36 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember you can use `help(canny)` to get more information. This information is also available on the web, since the Python documentation/help system makes it easy to convert the code documentation into other forms." ] }, { "cell_type": "code", "collapsed": false, "input": [ "matteo.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 37, "text": [ "(800, 800)" ] } ], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "matteo.dtype" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 38, "text": [ "dtype('bool')" ] } ], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(matteo)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 39, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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5ubmqsVdIfHx8kJeXVy0RR6qIpd4a/LFjx1o9Q1KVuiNt2rTBiy++iHbt2imtSr0SFxcX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\nYVgoKRaUJIyNt4i8N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"text": [ "" ] } ], "prompt_number": 39 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dog waiting to be scanned at MR Research Center in Budapest. Image Credit: Borbala Ferenczy." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I don't expect you to know that `canny` is the routine to use here (or in fact, whether it is remotely useful for your analysis); the point is to say that there's lots of functionality available to you in NumPy, SciPy, ... so you don't always have to go and write your own code." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "A brief foray into timing analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![Ack, variability](bill-the-cat.jpg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bill the Cat, created by Berkeley Breathed: http://en.wikipedia.org/wiki/Bill_the_Cat" ] }, { "cell_type": "code", "collapsed": false, "input": [ "hdus = fits.open(\"data/evt2.fits\")\n", "print(hdus)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[, , ]\n" ] } ], "prompt_number": 40 }, { "cell_type": "code", "collapsed": false, "input": [ "hdus.info()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Filename: data/evt2.fits\n", "No. Name Type Cards Dimensions Format\n", "0 PRIMARY PrimaryHDU 32 () \n", "1 EVENTS BinTableHDU 731 35782R x 2C [1D, 1E] \n", "2 GTI BinTableHDU 28 4R x 2C [1D, 1D] \n" ] } ], "prompt_number": 41 }, { "cell_type": "code", "collapsed": false, "input": [ "thdu = hdus[1]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 42 }, { "cell_type": "code", "collapsed": false, "input": [ "print(thdu.columns)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "ColDefs(\n", " name = 'time'; format = '1D'; unit = 's'\n", " name = 'energy'; format = '1E'; unit = 'eV'\n", ")\n" ] } ], "prompt_number": 43 }, { "cell_type": "code", "collapsed": false, "input": [ "coldata = thdu.data" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "type(coldata)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 45, "text": [ "astropy.io.fits.fitsrec.FITS_rec" ] } ], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "coldata.size" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 46, "text": [ "35782" ] } ], "prompt_number": 46 }, { "cell_type": "code", "collapsed": false, "input": [ "coldata.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 47, "text": [ "(35782,)" ] } ], "prompt_number": 47 }, { "cell_type": "code", "collapsed": false, "input": [ "coldata[0]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 48, "text": [ "(186103828.51639557, 1936.8479)" ] } ], "prompt_number": 48 }, { "cell_type": "code", "collapsed": false, "input": [ "times = coldata.field('time')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 49 }, { "cell_type": "code", "collapsed": false, "input": [ "times.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 50, "text": [ "(35782,)" ] } ], "prompt_number": 50 }, { "cell_type": "code", "collapsed": false, "input": [ "times[0]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 51, "text": [ "186103828.51639557" ] } ], "prompt_number": 51 }, { "cell_type": "code", "collapsed": false, "input": [ "dt = times - times[0]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 52 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, `dt` is the arrival times of the *events*; since this is Chandra data the `TIME` column is in seconds in the Modified Julian Date system (with an \"arbitrary\" offset), `dt` is in seconds too (in this case *relative to* the *first* event)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "dt[0:10]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 53, "text": [ "array([ 0. , 0. , 1.76416001, 2.64622009, 3.96931016,\n", " 4.41035017, 6.17448026, 8.37966037, 8.82070038, 8.82070038])" ] } ], "prompt_number": 53 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the times are discrete: why is this?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(thdu.header['TIMEDEL'], thdu.header['EXPTIME'])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(0.44104, 0.4)\n" ] } ], "prompt_number": 54 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an aside: if you need to create a string out of numbers and text, use `format`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(\"timedel={} exptime={}\".format(thdu.header['TIMEDEL'], thdu.header['EXPTIME']))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "timedel=0.44104 exptime=0.4\n" ] } ], "prompt_number": 55 }, { "cell_type": "markdown", "metadata": {}, "source": [ "You will also see the use of `%` - as below - which is \"old Python\" and shouldn't really be used anymore (to make upgrading to Python 3 easier). " ] }, { "cell_type": "code", "collapsed": false, "input": [ "print \"timedel=%f exptime=%f\" % (thdu.header['TIMEDEL'], thdu.header['EXPTIME'])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "timedel=0.441040 exptime=0.400000\n" ] } ], "prompt_number": 56 }, { "cell_type": "code", "collapsed": false, "input": [ "dt[:20] / thdu.header['EXPTIME']" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 57, "text": [ "array([ 0. , 0. , 4.41040002, 6.61555022,\n", " 9.92327541, 11.02587543, 15.43620065, 20.94915092,\n", " 22.05175094, 22.05175094, 27.56467611, 28.66727613,\n", " 31.97502635, 34.1802264 , 38.59055154, 46.30862705,\n", " 47.41122708, 49.61642705, 51.82157725, 56.23190247])" ] } ], "prompt_number": 57 }, { "cell_type": "code", "collapsed": false, "input": [ "dt[0:20] / thdu.header['TIMEDEL']" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 58, "text": [ "array([ 0. , 0. , 4.00000002, 5.99995485,\n", " 8.999887 , 9.99988703, 13.9998192 , 18.9997741 ,\n", " 19.99977412, 19.99977412, 24.99970625, 25.99970627,\n", " 28.99966112, 30.99966116, 34.99959327, 41.99948037,\n", " 42.99948039, 44.99948036, 46.9994352 , 50.99936737])" ] } ], "prompt_number": 58 }, { "cell_type": "code", "collapsed": false, "input": [ "(dt[:20] / thdu.header['TIMEDEL']).astype(np.int)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 59, "text": [ "array([ 0, 0, 4, 5, 8, 9, 13, 18, 19, 19, 24, 25, 28, 30, 34, 41, 42,\n", " 44, 46, 50])" ] } ], "prompt_number": 59 }, { "cell_type": "code", "collapsed": false, "input": [ "Image(filename='wat.jpg')" ], "language": "python", "metadata": {}, "outputs": [ { "jpeg": 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6p8TNKa9v9T8PancQWumeTYG0kuZZx+uX/BGr9r/4g/t6f8Ey/wBk79qz4sf2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\no8xg1iy1CBwkMrRMAhxj7ueBj0HfnLEZrnqYF+z1k1GUUlo3dXiua93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l0Hjlt5EDAo+S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\nfAw1hrxYbp1gttPAJTbsDIo4yhwCzDGTg87eoBxwSw1ouDlzSeq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"metadata": {}, "output_type": "pyout", "prompt_number": 60, "text": [ "" ] } ], "prompt_number": 60 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let' break this down:\n", "\n", " (dt[:20] / thdu.header['TIMEDEL']).astype(np.int)\n", " \n", " diego = dt[:20]\n", " diego /= thdu.header['TIMEDEL']\n", " diego = diego.astype(np.int)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also access \"from the end\" of the array: here we get the last value:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "dt[-1]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 61, "text": [ "41300.67773014307" ] } ], "prompt_number": 61 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's bin the data up, so we can view it easier. Here I pick a single binning factor (in this case ~ 400 seconds), but remember Diego's talks (in fact, all our talks), and *explore* your data (so in this case look at different binning values). You might to also want to use `histogram` in a slightly-different way (e.g. giving the bins to use; see `help(np.histogram)`), or other functions." ] }, { "cell_type": "code", "collapsed": false, "input": [ "vals = np.histogram(dt, bins=100)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 62 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The histogram routine in NumPy returns both the binned values *and* the bin edges (*always* read the help to find out what is returned!) as a *tuple* (you can think of it as an array which you can not change)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "vals" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 63, "text": [ "(array([377, 400, 336, 353, 350, 326, 393, 374, 324, 381, 324, 348, 350,\n", " 381, 376, 334, 317, 370, 367, 375, 354, 351, 338, 370, 343, 346,\n", " 352, 324, 350, 355, 373, 349, 363, 348, 356, 408, 350, 363, 361,\n", " 348, 343, 415, 344, 387, 346, 374, 368, 345, 373, 336, 364, 314,\n", " 339, 354, 359, 350, 338, 344, 332, 310, 341, 351, 354, 383, 360,\n", " 347, 336, 379, 328, 367, 368, 340, 351, 376, 364, 372, 342, 382,\n", " 358, 361, 378, 362, 358, 390, 364, 358, 348, 372, 364, 360, 355,\n", " 329, 387, 372, 380, 351, 345, 363, 388, 405]),\n", " array([ 0. , 413.0067773 , 826.0135546 , 1239.0203319 ,\n", " 1652.02710921, 2065.03388651, 2478.04066381, 2891.04744111,\n", " 3304.05421841, 3717.06099571, 4130.06777301, 4543.07455032,\n", " 4956.08132762, 5369.08810492, 5782.09488222, 6195.10165952,\n", " 6608.10843682, 7021.11521412, 7434.12199143, 7847.12876873,\n", " 8260.13554603, 8673.14232333, 9086.14910063, 9499.15587793,\n", " 9912.16265523, 10325.16943254, 10738.17620984, 11151.18298714,\n", " 11564.18976444, 11977.19654174, 12390.20331904, 12803.21009634,\n", " 13216.21687365, 13629.22365095, 14042.23042825, 14455.23720555,\n", " 14868.24398285, 15281.25076015, 15694.25753745, 16107.26431476,\n", " 16520.27109206, 16933.27786936, 17346.28464666, 17759.29142396,\n", " 18172.29820126, 18585.30497856, 18998.31175587, 19411.31853317,\n", " 19824.32531047, 20237.33208777, 20650.33886507, 21063.34564237,\n", " 21476.35241967, 21889.35919698, 22302.36597428, 22715.37275158,\n", " 23128.37952888, 23541.38630618, 23954.39308348, 24367.39986078,\n", " 24780.40663809, 25193.41341539, 25606.42019269, 26019.42696999,\n", " 26432.43374729, 26845.44052459, 27258.44730189, 27671.4540792 ,\n", " 28084.4608565 , 28497.4676338 , 28910.4744111 , 29323.4811884 ,\n", " 29736.4879657 , 30149.494743 , 30562.50152031, 30975.50829761,\n", " 31388.51507491, 31801.52185221, 32214.52862951, 32627.53540681,\n", " 33040.54218411, 33453.54896142, 33866.55573872, 34279.56251602,\n", " 34692.56929332, 35105.57607062, 35518.58284792, 35931.58962522,\n", " 36344.59640253, 36757.60317983, 37170.60995713, 37583.61673443,\n", " 37996.62351173, 38409.63028903, 38822.63706633, 39235.64384364,\n", " 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oPStDMjaozTz0qM0CEpRTaUUAPpMUoopANk4jY+xrOPStGbiF/pWcelJgWD92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\nDql0HZI5i4MVFRD95S6L1Eole6j8oqKioiQLTr//2Q==\n", "metadata": {}, "output_type": "pyout", "prompt_number": 64, "text": [ "" ] } ], "prompt_number": 64 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This photograph is copyright Douglas Burke, 2014 and is not for re-use without express permission." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Question: what have I done *wrong* here?\n", "\n", "Perhaps it's an \"instrumental effect\" that I've forgotten about..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "(y,x) = vals\n", "print(y.shape)\n", "print(x.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(100,)\n", "(101,)\n" ] } ], "prompt_number": 65 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Question: why are these values not the same?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(x[:-1], y)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 66, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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yHHlYSiZq+JmrI3/5y3UIWtjQytFRdV8L2ZGnDa0PDKj7dK14v/tu4Mkn3ZaN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\nnvwbNwI7dhRT7EZHXhxLlgAHD+p56n/AC3PkBw6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"text": [ "" ] } ], "prompt_number": 66 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Look around; there may be other useful routines! For instance, matplotlib has a routine that will bin up data using `histogram` and then plot it as a histogram:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hist(dt, bins=100)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 67, "text": [ "(array([ 377., 400., 336., 353., 350., 326., 393., 374., 324.,\n", " 381., 324., 348., 350., 381., 376., 334., 317., 370.,\n", " 367., 375., 354., 351., 338., 370., 343., 346., 352.,\n", " 324., 350., 355., 373., 349., 363., 348., 356., 408.,\n", " 350., 363., 361., 348., 343., 415., 344., 387., 346.,\n", " 374., 368., 345., 373., 336., 364., 314., 339., 354.,\n", " 359., 350., 338., 344., 332., 310., 341., 351., 354.,\n", " 383., 360., 347., 336., 379., 328., 367., 368., 340.,\n", " 351., 376., 364., 372., 342., 382., 358., 361., 378.,\n", " 362., 358., 390., 364., 358., 348., 372., 364., 360.,\n", " 355., 329., 387., 372., 380., 351., 345., 363., 388., 405.]),\n", 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SpIYZ5JIkNez/AzA9nCwNj3LmAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 67 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "FFT ahoy" ] }, { "cell_type": "code", "collapsed": false, "input": [ "cvals = np.fft.fft(y)\n", "print(\"shape={}\".format(cvals.shape))\n", "print(\"data type={}\".format(cvals.dtype))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "shape=(100,)\n", "data type=complex128\n" ] } ], "prompt_number": 68 }, { "cell_type": "code", "collapsed": false, "input": [ "avals = np.abs(cvals)**2\n", "print(\"data type={}\".format(avals.dtype))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "data type=float64\n" ] } ], "prompt_number": 69 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(avals)\n", "plt.yscale('LOG')\n", "plt.xlim(-5, 105)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 70, "text": [ "(-5, 105)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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+jg79Q/4KvY8OHwa++MXCPT9REiomnFk5UxT/9m/AX/5SuOffuZPhHKajQ/dToWzeDHzr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\nt1GXyxXpXz3b8WYgfHlRu8i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oPStDMjaozTz0qM0CEpRTaUUAPpMUoopANk4jY+xrOPStGbiF/pWcelJgWD92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\nDql0HZI5i4MVFRD95S6L1Eole6j8oqKioiQLTr//2Q==\n", "metadata": {}, "output_type": "pyout", "prompt_number": 71, "text": [ "" ] } ], "prompt_number": 71 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This photograph is copyright Douglas Burke, 2014 and is not for re-use without express permission." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Question: how do you think I know to use `-5` and `105` for the x limits?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "tstep = thdu.header['TIMEDEL']\n", "freqs = np.fft.fftfreq(y.size, tstep)\n", "idx = np.argsort(freqs)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 72 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above was found via random googling: you will find that many questions are asked on StackOverflow; some are even answered.\n", "\n", "Some of these answers are even useful!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(freqs[idx], avals[idx])\n", "plt.yscale('LOG')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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pp+rFXaW+9z3gZz+r/PsBvag55xyd8fHWW9rE/Pd/D9x/v+6zUSP7bcUN1HZw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\na62tenGzbVv0LQInT9ZBTuUGp7l2ogw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"text": [ "" ] } ], "prompt_number": 73 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can get rid of that peak by subtracting the mean of the signal; note that we don't need to recalculate `freqs` (although there is no harm in doing so, as it is not a long calculation). \n", "\n", "Actually, I'm getting bored of this calculation, so let's automate it, since isn't that the whole point of computers?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def diego(times, tstep):\n", " \"\"\"What Would Diego Do?\"\"\"\n", " \n", " fft = np.fft.fft(times)\n", " real = np.abs(fft)**2\n", " freqs = np.fft.fftfreq(times.size, tstep)\n", " idx = np.argsort(freqs)\n", " return (freqs[idx], real[idx])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 74 }, { "cell_type": "code", "collapsed": false, "input": [ "(a,b) = diego(y - y.mean(), tstep)\n", "plt.plot(a, b)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 75, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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hvSSiwte2kv6xY90U/C47/OiomrRjjws4ppmSqMOvuqTfpv2pSajgNxQfh+/u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\nmTBJgl9HSd8Ny6urh5+npO+eEyYs+CdPwnPP9WeWPYd7DeG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"text": [ "" ] } ], "prompt_number": 75 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Moar light curves" ] }, { "cell_type": "code", "collapsed": false, "input": [ "stimes = fits.open(\"data/swift.evt\")[1].data.field('time')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 76 }, { "cell_type": "code", "collapsed": false, "input": [ "Image(filename='wat.jpg')" ], "language": "python", "metadata": {}, "outputs": [ { "jpeg": 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6p8TNKa9v9T8PancQWumeTYG0kuZZx+uX/BGr9r/4g/t6f8Ey/wBk79qz4sf2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\no8xg1iy1CBwkMrRMAhxj7ueBj0HfnLEZrnqYF+z1k1GUUlo3dXiua93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l0Hjlt5EDAo+S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\n5AD+KL9p3x8vxj/au/aF+KL3H2pPip+0L8WfHzXRfeL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"metadata": {}, "output_type": "pyout", "prompt_number": 77, "text": [ "" ] } ], "prompt_number": 77 }, { "cell_type": "markdown", "metadata": {}, "source": [ "It can quickly get easy to loose track of your variables, particularly if you start having to say `x1`, `x2`, `xgood`, `xgood2`, `x_this_is_going_to_work`, `x_arghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh`, ...\n", "\n", "You can find out what symbols have been defined with a few tricks:\n", "\n", " *tim*?\n", " times?\n", " \n", "These bring up a separate frame/section of the web page to display information (not shown here), or - when run from the command line - will print out to the screen.\n", "\n", " In [456]: *tim*?\n", " RuntimeError\n", " RuntimeWarning\n", " stimes\n", " times\n", " \n", " In [457]: times?\n", " Type: ndarray\n", " String form:\n", " [ 1.86103829e+08 1.86103829e+08 1.86103830e+08 ..., 1.86145126e+08\n", " 1.86145127e+08 1.86145129e+08]\n", " Length: 35782\n", " File: /home/dburke/anaconda/lib/python2.7/site-packages/numpy/__init__.py\n", " Docstring: \n", " Class docstring:\n", " ndarray(shape, dtype=float, buffer=None, offset=0,\n", " strides=None, order=None)\n", "\n", " An array object represents a multidimensional, homogeneous array\n", " ..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "dts = stimes - stimes[0]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 78 }, { "cell_type": "code", "collapsed": false, "input": [ "print(dts[0:10])\n", "print(dts.size)\n", "print(dts.dtype)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 0. 0.03024521 0.08539832 0.1067479 0.11920181 0.13699314\n", " 0.14766794 0.15300533 0.17613405 0.18680882]\n", "2089539\n", "float64\n" ] } ], "prompt_number": 79 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could say the following\n", "\n", " plt.hist(dts, bins=20000)\n", " \n", "*but*\n", "\n", " - it would take a minute or two on my laptop\n", " - it does not deal with GTIs\n", " \n", "Remember, use the *best* tool you have for the job, even if it is written in C++ like SAS!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "test = fits.open(\"data/lc.fits\")\n", "test.info()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Filename: data/lc.fits\n", "No. Name Type Cards Dimensions Format\n", "0 PRIMARY PrimaryHDU 22 () \n", "1 LIGHTCURVE BinTableHDU 169 1183R x 10C [1J, 1D, 1D, 1D, 1J, 1D, 1D, 1D, 1D, 1D] \n", "2 GTI BinTableHDU 24 26R x 2C [1D, 1D] \n" ] } ], "prompt_number": 80 }, { "cell_type": "code", "collapsed": false, "input": [ "test[1].columns" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 81, "text": [ "ColDefs(\n", " name = 'TIME_BIN'; format = '1J'; unit = 'channel'\n", " name = 'TIME_MIN'; format = '1D'; unit = 's'\n", " name = 'TIME'; format = '1D'; unit = 's'\n", " name = 'TIME_MAX'; format = '1D'; unit = 's'\n", " name = 'COUNTS'; format = '1J'; unit = 'count'\n", " name = 'STAT_ERR'; format = '1D'; unit = 'count'\n", " name = 'AREA'; format = '1D'; unit = 'pixel**2'\n", " name = 'EXPOSURE'; format = '1D'; unit = 's'\n", " name = 'COUNT_RATE'; format = '1D'; unit = 'count/s'\n", " name = 'COUNT_RATE_ERR'; format = '1D'; unit = 'count/s'\n", ")" ] } ], "prompt_number": 81 }, { "cell_type": "code", "collapsed": false, "input": [ "t = test[1].data.field('time')\n", "r = test[1].data.field('count_rate')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 82 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(t, r)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 83, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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KK4u1o0z6FXRWudcD35t5/jqA+5xzvwQAEfkOgLcDeElEjnDOvSQiRwLY3G7l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\nQ+dxXh0mBT10hl5FFltWhl6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m5d7UPnRa7oOBSUEPQdEMvWhRXMidWstyB8IOW/Mhe/Kb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\nMAbg951z2+PvvBLAShGZGX/2C865J0TkowBuje3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"text": [ "" ] } ], "prompt_number": 86 }, { "cell_type": "markdown", "metadata": {}, "source": [ "A really useful feature of NumPy is array indexing; that is, filtering a column. I used it above, with the output of `fftfreq`, but I really should highlight it a bit more:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(x[x >= 0], y[x >= 0])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 87, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 87 }, { "cell_type": "code", "collapsed": false, "input": [ "idx = x >= 0\n", "plt.plot(x[idx], y[idx])\n", "plt.yscale('log')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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3sfnXlzNMiS8PxLG4RRwCa1g4+OL0qquuavo+GslOfxTAJvV+E3Jko/tohp2+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\nUquwUEr8HQCuX6BttxSLSQpPexpw0knufd4OxHK20/OSOBPE8rZlOSr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"text": [ "" ] } ], "prompt_number": 88 }, { "cell_type": "code", "collapsed": false, "input": [ "idx[0:10]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 89, "text": [ "array([False, False, False, False, False, False, False, False, False, False], dtype=bool)" ] } ], "prompt_number": 89 }, { "cell_type": "code", "collapsed": false, "input": [ "idx[-11:-1]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 90, "text": [ "array([ True, True, True, True, True, True, True, True, True, True], dtype=bool)" ] } ], "prompt_number": 90 }, { "cell_type": "code", "collapsed": false, "input": [ "np.where((x > 0.003) & (x < 0.004))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 91, "text": [ "(array([ 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956,\n", " 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967,\n", " 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978,\n", " 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989,\n", " 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000,\n", " 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011,\n", " 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022,\n", " 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033,\n", " 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044,\n", " 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055,\n", " 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064]),)" ] } ], "prompt_number": 91 }, { "cell_type": "code", "collapsed": false, "input": [ "i, = np.where((x > 0.003) & (x < 0.004))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 92 }, { "cell_type": "code", "collapsed": false, "input": [ "for ii in i[0:7]:\n", " print(\"x={:e} y={:8.1f}\".format(x[ii], y[ii]))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "x=3.000845e-03 y=361824.7\n", "x=3.009298e-03 y= 89071.7\n", "x=3.017751e-03 y=258786.5\n", "x=3.026205e-03 y=184714.5\n", "x=3.034658e-03 y=128588.7\n", "x=3.043111e-03 y= 59423.5\n", "x=3.051564e-03 y= 12101.8\n" ] } ], "prompt_number": 93 }, { "cell_type": "markdown", "metadata": {}, "source": [ "I am now going to use this to see what the power spectrum due to the GTIs in the event file look like (well, approximately). " ] }, { "cell_type": "code", "collapsed": false, "input": [ "rone = r.copy()\n", "rone[r > 0] = 1.0\n", "plt.plot(t, rone)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 94, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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dPpGJ17v9vueyCpl4PjLxzRKmiUe9w8nE85CJ1xFpLN7IxP23b2PMj7ExCdPE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\nzP9B7Xxr2tnls32+YVrrgKQ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"text": [ "" ] } ], "prompt_number": 94 }, { "cell_type": "code", "collapsed": false, "input": [ "(xone,yone) = diego(rone, t[1] - t[0])\n", "plt.plot(x[x>=0], y[x>=0])\n", "plt.plot(xone[xone>=0], yone[xone>=0])\n", "plt.yscale('log')\n", "plt.text(0.001, 5e7, 'data', size=20, color='blue')\n", "plt.text(0.003, 5e7, 'gti', size=20, color='green')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 95, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ZNk2qVlbmbW1EIkzmHE1uJXOevCRDYyOVbZ0xg9wUfgZqJnPVzP7LX8r+cyI8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\nWZJ2L4VbJQtAGWtgV2mwFDO7nUuiI9mhd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"text": [ "" ] } ], "prompt_number": 95 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Running external code" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you write a \"script\" then you can say\n", "\n", " % python foo.py\n", " \n", "or have\n", "\n", " #!/usr/bin/env python\n", " \n", "as the first line of the script, so that you can just say `./scriptname` after doing `chmod u+x scriptname` (please use something more relevant than `scriptname`!).\n", "\n", "You can also load code into IPython when it starts - e.g.\n", "\n", " % ipython foo.py\n", " \n", "or from within IPython by using `execfile` or `import`; at this point I will be way over time so will not go into this any further, but help is only a Google away.\n", "\n", "If you have used `chandra_repro`, `specextract`, `fluximage`, `reproject_obs`, `flux_obs`, or `merge_obs` then you have used Python scripts: these look like normal CIAO tools but are written in Python (most of their job is to call CIAO tools in order, but they also do some data manipulation and calculation)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "fin." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Remember:* have fun\n", "\n", "![Strike a pose](hoffy.png)\n", "\n", "Image courtesy Kim Page, copyright 2014." ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }