{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Multiband Periodograms with ``gatspy``\n", "\n", "``gatspy`` includes an implementation of the multiband periodogram, introduced in [VanderPlas & Ivezic 2015](http://jakevdp.github.io/multiband_LS/). If you've taken a look at the [Single Band Example](SingleBand.ipynb), the interface should be pretty familiar." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As in that example, let's start with some imports, and downloading some of the Sesear 2010 Stripe 82 RR Lyrae data, and plotting it:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# use seaborn's default plotting styles for matplotlib\n", "import seaborn; seaborn.set()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from gatspy.datasets import fetch_rrlyrae\n", "rrlyrae = fetch_rrlyrae()\n", "lcid = rrlyrae.ids[0]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "t, y, dy, filts = rrlyrae.get_lightcurve(lcid)\n", "period = rrlyrae.get_metadata(lcid)['P']" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for filt in 'ugriz':\n", " mask = (filts == filt)\n", " plt.errorbar(t[mask] % period, y[mask], dy[mask], fmt='.', label=filt)\n", "plt.gca().invert_yaxis()\n", "plt.legend(ncol=3, loc='upper left');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll fit the multiband periodogram model to this data. For more information on the model, refer to the [VanderPlas and Ivezic paper](http://jakevdp.github.io/multiband_LS/) mentioned above." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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uZTC5lm0HKYwkqcvR6Bw4MQhDoymWgyG1pUptPalhr2EF8P/95nJYve248fli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gAAAB\nKUlEQVSbGCTTj9544w10dnaO6Jyxgvf4CYJV3u3+/n4sWrQIg4ODkGUZhw4dQjgcxmuvvUb3aP78\n888xMDCArKyscXn+GxmruisoKMDg4CDOnTsHAHj//fdRXl5ueQ5nbBlN/fG+NzFIph/19fWhtrZ2\nROeMFTwV5QRBTpB3e//+/di7dy8cDgcaGxuxbt06XLt2DY899hg++0zZ4/PRRx/lG2KMA4nq7tCh\nQ9i1axdkWUZdXR22bt1qeE5Jifk2Z5wfjtHUH+97E4NEdXfx4kV0d3fj9ddftzxnvPoeF8AcDofD\n4YwD3ATN4XA4HM44wAUwh8PhcDjjABfAHA6Hw+GMA1wAczgcDoczDnABzOFwOBzOOMAFMIfD4XA4\n4wAXwBwOh8PhjAP/DxVU1V07Fu8iAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from gatspy.periodic import LombScargleMultiband\n", "model = LombScargleMultiband(Nterms_base=1, Nterms_band=0)\n", "model.fit(t, y, dy, filts)\n", "periods = np.linspace(period - 0.1, period + 0.1, 2000)\n", "power = model.periodogram(periods)\n", "plt.plot(periods, power, lw=1)\n", "plt.xlim(periods[0], periods[-1]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see what the multiterm model looks like by plotting it over the data:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LPzj4HABfW/1Y1mUbcvkDFJQ4xizQki1m6vnPFh5P5vHv00Jhjz5pqaRIZ5uf1uZ+LjT3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_model(model, lcid):\n", " t, y, dy, filts = rrlyrae.get_lightcurve(lcid)\n", " model.fit(t, y, dy, filts)\n", " \n", " tfit = np.linspace(0, period, 1000)\n", " for filt in 'ugriz':\n", " mask = (filts == filt)\n", " eb = plt.errorbar(t[mask] % period, y[mask], dy[mask], fmt='.', label=filt)\n", " yfit = model.predict(tfit, filt, period=period)\n", " plt.plot(tfit, yfit, color=eb[0].get_color())\n", " plt.gca().invert_yaxis()\n", " plt.legend(ncol=3, loc='upper left')\n", " \n", "plot_model(LombScargleMultiband(Nterms_base=1, Nterms_band=0), lcid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we'd like to do a higher-oder multiterm model, we can simply adjust the number of terms in the base and band models:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1x27u1zWCkSAv7f49hzuqWJwxn9umfnnQ8n0P5WfvDLr4R8UadjXvQSUqubLw\nEr6Ud+6gjD1kt+P4bD0dn39K1O0GYnnUE85ZgXHBQhR6fb/6SbToOVzRjL3Ni6Pdi7PDj9Phx9nh\nw+MKIEmQlWfh2q/NOeMxj0RGpUn8znuXUVvdjqvDF//AXA4fjbUdJ7Rttbrjxx+8tY+kFANJqQYS\nU/RYkvQ9VuYAq/9Shq0hAujpcBm44fabeqycAUSFDlGpI+CuJuCujj8vKLo8+ARMKQtxNm8eTLFl\nZGQGiWWLylAoIwR9Odjr14Go5YuNhajUSi66ZioKhUjHp+vx7tvLudMlsr//o371G5Wi/HH/3zjc\nUcXctFncOuWmQS/OMVSY1Sa+MeM2djXv5e/lq3n7yFp2tezltilfJsvY+2r4eI5PudqFKjGRlOtv\nJOnKq3Hv2olz00a8Bw/gP3KY5r+uQj9tOsZ58zHOmYfCePJtBqVKQXKakeS0E9scuudb+JV6pv/w\nuQFIPfY55Qp79+7dPPfcc6xatYof/OAHtLbGct02NDQwd+5cfvnLX8bbRqNRHnvsMSoqKlCpVDz5\n5JPk5eWdchC9zTLD4QguR4AP3tpHJBxlwuRUDu1pIuDv3WtQFAUSknQkpxpIyTCRlmFiy2dHaWmK\n9d01A3/t+Y0snFOKyeTB69My49zYlzca8RP0Wgn6mgh6mwh6rYQDrb1ey5iyELU+A7UuM5aO7zQz\nDsH4XmGBLP94ln8wZO+eGEUQlEhSmIqqeVRWGLn42mlMmppG0Gql5uePIChVFPz8CZSWxB59dJlt\nv33/eT2eX33433xc+znFloncO+dulINcZvJsffbuoId/Vq6hxFaGQlBwecFFXJJ/fp+Z0nqrQlb7\n9BMAvVYkC7W34dy8CXfpDgJ1dbEnRRFd8WQM06ajnzYDTV4egnhswtMl//H9DqQC2mhm0FfYr776\nKu+88w4GgwGA//mf/wHA6XRyxx13sHLlyh7tP/74Y0KhEG+88Qa7d+/mF7/4BS+//PKABwWgVCpI\nTNbz1W8e8xC0NjjiJrCUDCNLzptAe4uH9lYP9lZv/PHwwZb4OQqliEolMnFyKm+8tp1QMMLm7TET\nS2KihxmdORJEhRatqQCtqQCImdtEMczl12YQ9FkJepvw2PeCFMXduuPYQAUFKk0KKm3XXypKbQoq\nTRKCqBzWKjRyBRyZsU5SqoGgJ6awJSmMy19EZYWRKbMyYg5QkQjW3/8OKRgk4+vfOEFZv7VqZzxc\n6a1VO+MHWCnsAAAgAElEQVR74ZsatvFx7eek61P55szbB11Zn02MagNfn/415qfN5o3yt3ivah1l\nLXu5berN5Jqy+tVHdyVa+/QTJyhRVVIyyVddQ/JV1xC02XDvKsW9sxTfoYP4Dh2Et95ENBrRT5mG\nfupUdJOKkJInn7JfmZ70eRfm5+fz4osv8uMf/7jH87/61a+4/fbbSUlJ6fH8zp07WbFiBQCzZ89m\n3759gzrY7rGJX/6PBQDkFibFX5ckCZfDT4vVRXOTixZr7M/vC7N5/ZET+lt0/iK8niB6g7rH8933\nxv69upUbbo9NGpLzr+XVX36KyejmyhuzCHWuyGNObrbjehdAUMT3yxv2/S+W7ItRqi0o1RZEpX5Q\nEuWfzHO9u+lfTp4vM1bJKL6LxgMvEg60I4nJfLExDUuSjuUXFQHQvvY9/FVHMS1eimlh/8KDDndU\n8UbFagwqPd+ZdRd6Vf/2ZEc6s1KnM8kygdWH32Nz0w7+u+RXXJJ/AZcVfAnVcROS41fUXcf9QZ2e\nTtJlV5B02RWEnU68Bw/gPbAf74H9uEu24y7ZDkC9Xk93A68UicVe+2uqgbG9uj5d+lTYl1xyCfX1\n9T2ea2trY+vWrTz44Ime0m63G2O3PQuFQkE0GkUUT77vE/Z6B2QaMJm1wMnNCWlpZiYWHfOIlKIS\n9nYvjXUdNNTa2bm1llAwdmOsW70fgMRkPbmFSeQWJJFbmISy2164SqmIX+sPv/qCcEjAbjfx2UdK\n7vqvzkQAUpSg34HfY8PvacbvtuHzNONx1Mb7iYSctFX/K/6/IChQaky0HjGh0phQqY0oNSZUahNK\ntQGlSo9CpUep1KFQ6VEoNfG0fd2pC7l7fT/ajiroyqHUXYaRyEge29lgPMt/prIHfHYaIj4EUcW2\nkmIEQcXN/7GQjOwEXJWHaX/vHdTJyUz7r++gNBpOOP/bPzyPJ3/87/hxh8/BHzf/FYD7l3+baWkF\nZzS+U3Eq+e99N/Y7+9LVTw7SFU18P+suLrAu4ZUd/8cH1Z+wr/0A31l0O0XJhfFWD338LFyRwhMX\nxTzpU59/hs033gLA/Oef6f/lUk0wMRuuuhhJkvA1NOA8cBDXwXKch8rxNzbGmwaqq6j8zjchHFvk\nCMEAyQmaeOiYzGk4nX3wwQdcffXVva4OjUYjHo8n/v+plDXAtq/ejjIpCW3hBLQFhWgLCtHkF8Q9\nDY/f34hGYnF6A937Sc8xk55jZt6yfELBCM1NTqwNTqz1DqwNTvaU1LOnpNMLXKNErVGiUiuYuzSP\nxgY7KrWSUDgS7y8Ujhw3BiWQjajPRq8HPZAM1O6KjT9lwpc7Y8fthIOOzuQwHnzuJrzOun5IICAq\ntLE/pQ5RoSPobUTqLEFX9tmTWLK+hEKpR1TqSci9AY/jBRAEkifcOWL3ScfzHi6Mb/nPVHZJitJc\nuYpI2EeddQ6tLSqWXzQBhVrE1tBG7XP/ixSJ8NnSFN7c+GvuW3Bvr/186/7YvpjV1sGvy17F7ndw\n3cQrSBUyh/Sz6Y/8dp8DGPjv3anIUuSycsH3WXPkfTY0bOGhj5/lwrwVXFV4Kb/a9TuqnDUAPPD+\nL+LvW1Gn81l/x3L0gZh/0IRnjvk5oUlAMXcJlrlLKEo1YT3aiO/IYXxHDhOorsJbfije1FdXx+6f\nPUVOP50ERxtnxUt869atfPe73+31tXnz5vHpp59y+eWXU1ZWxuTJk0/ZX+KC+TjLK3GXluAuLYk/\nr87IJOx2E3XHbo6aJ39O/oOP9Cuc61So1Aqy8xPJzo/tZ3UF+lvrYwrc1ujEYfcRDIR5943dCAIk\npxnJyDbj84ZQqxVcf1v/Co7kze3bpJOSYqTZ1kr5tt9i0HXlTLdgTJ5DNOwjGvETjfiOHYd9BH3O\neK3YLiLBjh4r+C4EQUPjgRdRqEwoVAko1WYUKnPssTNLnKgYPTNYOc2sTBeOps8JeOpwN+nYs8dE\n/qRkZszPBqD1X/8kaG3iyMx0dpjt4LTzXMlLJ1XaAO9VfUhlx1Fmp0znorzzTtrubPFcyUuEO7/n\npxr76aBVarll8vXMS5vFXw69ySe1G9jbcmDQPOHDDscp2yhMJoxz5mKcE/s9lSSJynu+AZJE4sWX\noi2cMChjGSv0S2F3X01XVVWRm5vb4/UHHniAH/zgB1x88cVs2rSJr3wlZip++ulTZ/6Z9vBPaW52\nEm5vx199FH9VFf7qKgLVVUT9x0q1BaqOUvPEz9AXFaMrnoyuqLjPkIGBIAgCyalGklONTJ8bc8Lw\neoLYGmKrb2uDg5YmF622Y2Flf35pCxnZZtKyzKSmx9LtaXWnl3j/7b8eYGI2GHSx5xQq4ykrBkWj\nIaJhH437fwVAcsH1RMNeomEvke6PES+RkJtwoP2kfSlUZpSaZFTa5NijJgmVLg2FyjxoBekHA7mo\nvUwXflcVTutGIu4om/fPRiMFueCKyQiCgOfAfjo++Qh1ZhYHF2eCt28LVsU93yCghA9vSCJVl8zt\n024eUff9UFOUOJEHF/2Ad4+u49O6L5CQMCj1JGkTT3uSUPv0E3HT9kCcyQRBoPiV35/WNccDw544\nBXo3sUjRKCGblYZf/y9RfwBVSjL+mhqIHFtZqrNz0E+ejK54CvopUwdNgffGb//7MwCWnj8Ra4MD\na70Tr6dnpR2jWUNKujGuwHd8UY2oELjxjvkn7bcrn+7E7A0kJsZW2GeamKW3VagUDRMJuTrN8U7C\nQSeRoINQoJ1woC1eEa07okKHSpeOWpeOSpcRezzDMLbjGYhZdKTnhT8dZJP4wGWPhFw0HXqVSNBN\nyebJNLtTWcI+5q78LyJeDzWPPkzY6SDvpw+jzS+IF+boTfl091JuSlEx4cGf9dtz+kzpj/wDzU9+\nptS5Gvl7+WqqnDWoFWquKLiIC3KXD9hLvj+hWeP53odRmjjlZAiiSPXPYkXUuwL3o8Eg/qNH8FWU\n460ox3/kMB0N9XSs/wQEAW3hBAwzZqKfMRNtQSGCKPYZO9hf3lq1Eym2dc6R8hZuuH1eD4/0Fpub\nVpubVpuL6so2qivbepz/6nMbyJ+UjCVZT2KynoREHUazFp1+4Cvy7vQWP3qyVaggKuPFUXojGgnG\n0roG2ggH2gj5mgn6rCcklEFQoNalo9ZnozFko9ZndxZaGfoVSff0sGNBWcsMHEmK0lr9L6JhN80d\nM2n2JFJELXNX/hcALW/8lbC9neRrr0ebXwD0rqi79Rg/StRazpqy7i9mjfmsXi/XlMUP53+HbU2l\nvH1kLW8fWcuWphJumHQl05On9Pt7nrfyoXjiFdnTe/AYsQq7N5OKqFajnzIV/ZSpJAPRUIhAdTXe\n8oN49+/Dd+Qw/qNHaHvnbUSDAQQhnjpvsGP8BEHAbNFhtuiYOOWYV7rHHaDV5ubzdRV4nLHE95FI\nlCOHWk7oQ6kUSUjU4XL62dwwh2WLyhAVUczma2mxutAb1OgMql4d904WP3q6iAp1LBmMvmcWpGgk\nSMhvI+i1EfJZYzHpPitBb2M8Hl1UaGMpXQ3ZaPQxJa5QneiROxj0VaDhZMj73mMHR+N6Au5awhRQ\nssNCZk4CF37tNoBY1q3Nm9AUFJJ0+ZX96q/+zksJ/up3aMKw+NEBeD+PYURBZGnWQmalTufdo+v4\nomErv9nzOsWWiVw/6UryzDn96keZkDDEIx1/jFiT+Olku4l4PXgPHsCzby/e/fsItx/btxV1OkSD\nAYXBSP7Djw14jCfLhtQXXYUJrr9tLh5XAHubF3tn0nu3I4DL6cfjCpxQiu54tDoVeqManT72qNer\nOVLegrtzQpCUZuDqm2eh1asRRWFIFFT3JCxSNBxT2p4GAt4Ggp4GwkF7j/YKtQWNPiuem12tz0RU\naE/od6jNYiPdjD6ezYIDld3rKKf16N8RlBY+/HgGgqDm5rsWYDRrCbuc1DzyEFGfl7xHfoYmK7vP\nvr736UokSUKhUKIQRH666AckaXu3Pg0Vo+Wzb3A38faRtRxoKwdgQfocrplwGcm6pD7P69VLvBuj\nRf6hYlQW/4CThwn0lsv2ZPltj0eSJIKNDTS88DwRjwcpEDj2oiCQcv2NGOfOQ505vCaw1FQTjQ12\nXM4ALocfnyeIt/PP5wnidQfxekN43UGCgVMXc9fpVegMavSdfzqDCr1BjdGs7ayIpkWrUw3IhN0f\npRcJewl6Ggh6G+NKPBrx9Wij1CT3KLCi1qWTnpE6KhR2zMnPQyTkiTv0IUVi1WoAEBBFNaKyK/TO\ngEJl6jV2vjun+6M1Fkq9DkT2UKAda/mrSNEIZfsX01Cn4LIbZ1BYlIIkSTT99iXcpSWkfPkWki69\nvM++nit5KR62BPD1aV9lQUb/oj4Gk9GmsA61V/L2kbXUuRpQCAqWZM7n0vwLT6m4T8Zok3+wGVN7\n2HCiUh6I56EgCGiyc5jw388DUPP4owRqOr+kkkTrW2/S+tabqDOzYonq5y9Ak5uHIAgn3ffu72Rh\noKjUSpJSlCSl9G1GDocj+DwhfN4uRR7E5w7iPe45t9NPe4vnpP0oVSKmBC3mBB1mixZLsp6kFAOW\nZD06/cCUeRcKpR5dQhG6hFiGKUmSiAQdBL2NnUq8iaCvEa99H177sQx4tvIEFOrkbildk1FqLJ0e\n6mceXnL8vnfXce7sn8S86EMeIuEuJeyJKeVuz3e9JkWDfV3mJIgo1QkoNRZU2jTU+kxUugxU2pRB\nkW28EI0Eaa16EykSoLljEQ11CmbOz6awKJZp0bV9G+7SEnRFxSRefOmA+jYo9cOirEcjU5KK+HHi\n/6PUtpu11R+xqXE7W5pKWJwRU9yp+rFZBnMkMaJX2MdzpknhK++9BykQCxVTpaWhzs7Bu28vUihm\nklalpBINhYg4Ok64RsU934hPFgYzZd5gzzJfefbz+N42xHItL1pRiMvpx+Xw4+qIPTodPoKByAnn\na3VKLMkGklL0JKcZSUmPVdNp2v8LYGBm9uNN85IkUVf2JCBhSltMyNdCJNRGyH9iZTYQUKhMKNUJ\nKFSmbgljtIgKHYKoBEERU3yCCFIslzRSBCkaRpLCRCOBWKhbxE8k7CXgrhmY4hVEFEpDbLWs1Hc+\nGlCoDJ2pZRXdUitKSJEAzuYtcY97QVQjiCqi4Z6TJ1GhRWMsQGsqJLtgNk7PwOPgx8K+fH/u/e71\nrUNM4cN1aaSkG7n+9rkolQrCHXaqH3kIKRIm/9HHUaeduu5zm6+dR7bE7udfLH8Ek3rookv6YjSv\nMKNSlFLbbt6v/gSbtxlREJmXNosLc1eQb849dQeMbvkHgzG3wj6eM/U8LHrpt/HzC5/6bwCigQCe\nvXtw7yzBvXt3XKEDhFpa8B46iK6oeBBGP/R0d0TrQqVWUFic0mv7gD+Ew+6L7a23erG3erC3eWPx\n5/XHkh4IAliSLyY13YQ9VBcPW1NrTn779Oatbqt8HYi52wc89WQU30VqqgmbtZWQv5WQv4VwoC0W\nehZ0EA46CXjq6e7JO1gIogadeRKiUt+pgDuVcTfFLCg0A7Y2eDr2xxW2SpdGRvFdMcc9ny1eCc7v\nrsbnOITPcQh7/fuodBnoLdPQJ05DpTm1eXE8xaM7rRvwdhxAVGez/v1UNFoll14/HaUyNlmy/vF1\nol4Pabfd0S9lLUkSfz0USzB057SvDJuyHu2IgsjCjLnMT5/Nrua9fFD9CSW2MkpsZUxMKODC3BXM\nSp0+asqRjhZGlcKGMzdHH3++qNFgWrAQ04KFRENBvAcOYPvj74l4PEScDuqfewaF0XQs/luhGBVh\nCiq1gqRUQ5/e4xqtirRMFWmZPUNHwuEIHW3ezlA1Ny22WNIYe6uXiv3HipxYkvWkZZhIzTCRmmki\nJc2ISj3wGG1RoUFjiIWJHY8kRTtXyT7e+vMWVMowl143iY6mz4l0Orop1AmYUhYhiAoEQRlffYsK\nDW//9RChsJLbvnM+gqihbvdTAOTOfmDA4+wPvYWeiQo1GmMuGmNup0wS4aAdv6uKiO8IztYKHD4r\njqb1aAy5GFPmo7dMi8kxjvHaD+Cwfo6oSmDTpkmEwxKX3jAVsyWWYci5cQPefXvQT5tOwnkX9KvP\nrdZSDtkrmZY8mYXpsin8TBEFkfnps5mXNotD9krW123kQFs5RxzVJGuTWJ69mCWZCzCrx2++/MFk\nVJnEzyZSOIy3ohx3aQmOLzYcU9iiiGnhYozzF2CYPgNRozmj6wyFSRwG5s3eH6JRCYfdR6utqwqa\nmxarK15IBWIr8cQUA6kZJnKT16BWBxAEBXlzj5ltjzflHi//yUy93SuopWebWba47JTOZMefc6ah\nb/2hKzKgv9dKTTVha2rG6yjHa9+H33UUiCWtMSTPwZS6GKX6xFjcsWISL/ss5i9yvPNc0NuEreJ1\nEETKq86h8lCEBcsLWLi8AIhZv6ofexhBFMj/2RO8cPQNoO+Ya0fAxePbniMqRXho8Y/Oulf48YxV\nk7DVY+PTui/YZt1JKBpCFERmpUznnKxFTEkqiq+6x6r8/WXMm8TPJoJSiWHadAzTpuOvqyVwtLM8\npyji2rYF17YtCGo1hpmzMM5bgGHWbBQ63fAOmsFX1NBTCSUm6ymalg7EVood7b54GdOWJhctNhdT\nCjeh0cS88u0derb9oYTUTBP1NXZUqku46c7eM78NxNSbUXzXSet9dz0Pc05bZohNUryeIB5XALfT\nj9sZiB27AgT8YcLhCOFQlEhnQRqXw084FDv+w/9+wcQpqej0aoxmDZYkPQlJOvQG9QlmdlGpw5g8\nB3fbzmPXjgRwNW/B1bINQ+IszOlLUWlT46+fTjz6SOD4iUYk5D6hTThgp/nIX5GkMO3e86g8FCFv\nQhILzskHYlkQra+/hhTwk37XN3nh6Btxr+++cm7/o+JtfGEftxRfN+zKeiyTYUjnq1Nu5NqJV7DD\ntotNjdsoa9lLWctekrWJLM1cyMKMeaQir7oHiqyw+0H+Tx+O730X/eZVAjXVuHeW4uosWOIuLUFQ\nKtFPm45hzlwM06bT9OorwOjP8tN9lXp8ghZBEEjszN5WPD2mxP/159Ie56vUSuztXlqbj/0w/+65\nDaRmGEnNMDGhKBWVVkFCoq7PrerutdC7xtCbQu8exrVsMaxZM/GE8799/3lEoxI+TxC3K4DbGcDt\n8ncq5mNK2eMKcCr7k1IlolSKgEAkHI0/H/CHOVDWdEJ7jVZJWpaZ9EwTGTkJWCy911pW6TMxpczD\naduMp70MT3sZuoQpJGSej1p36r3akcjxE7K2o4r4/7W7fg6Cguzp36f5yP8RDXsIKc5hywYJs0XL\nl66eGp/o2Nd9gK+iHMPceZiWLoPSslNee2/rAcpa9jIxoYDl2Ut6bXO204COFh7eHHs/Hl+2ckDn\n6VU6zstZxrnZS6lx1bGpYRsltjLeq/qQ96o+ZErlROYlz2Fu2iz0quFf7IwGZJN4P+ktCUBXrHeX\n8g7Wn1hkQJWRQd5PH4mXCz2ekW4WGqhZuav9skWxH9EjDedy3a1z+OcfS2lvjnlLK1Ui0ah0goOc\nWqNg8fztiKJER/C6WDy5Xt0ZV65CpVZ2KkgF7/1jNwDX3ToXJIhKEtFIlNajfyISiNXYlcR0fMI1\neNxB9pbW4/PEogFEhRA7J9r7rS8IYDBpMJo0sUezBqNJi176C6IokT75h2h1KkSFcMJq+a1VO5Ek\niSu/PCseU+9y+Omw++ho89LW7MbZccyxUakSycq1kDchicLiFNzWWC3mrsmIJEn4HOU4bZsIehsA\n0CfOwpJ53knTzI5Ujo+JVykVeBw1PdoIogopGkLUL2TtO3oUSjFm2ekMefRXV1P79OMojEbyH3sc\npSm2XdBXvvBgJMQT257DHnCwcuH3yTJmnNCme2x2oTl/0Ctj9cZI/+53cboKuzd8YT9lzXvZbt1J\nZcdRJCSUopKZyVNZlDGPacmTB5y3fLQy5hKnjCROlbUHIGiz4dm/l7a3VxP1dgvlEUW0BYXoiorR\nTSpCN6kIhSn2YaWmmth04y0QDg9quNhgMtB92dee3xjf2+6u5LuvcCORKO0tHvyeEHU17TjsPuqr\n7IS7rVJPl67JwubtvZvERYVAaoYJ4/FK2azFYNKwbvU+Qj4rK5Yfju+tDmbGNJ83SHOji4baDhpr\nO2ixHrv/M3MTKJ6ezoTJqT2qv0mShN9ZSUfTp4R8NqJRAXPaPMwZ56JUjR7TYneTeGqqidKPfnJC\nqVi1aSYfrE3F7wtz5c2zyC2Mec5HAwFqHn+UkNVK9g/uwzB9Rr+u+d7Rdbxf/QlfyjuXGyZd1Wsb\nWWGfnOMV9mBZIgRDiHX7v2CbtRSrtxkAg0rP/LQ5LMqYR4E5d0xXTRuVCvuve96myFBEvmlsfTg1\nTz2O5PdjnL8A74H9+KuOQvSYMlJlZKCbVETwcCV+qzX+/EhV2gOlv85vXT9a3VfyKRlGzr2kOJ7t\nzecJ4vOGCIVie8Z1Ve0E/LGYeLVGQXqWGQQBURTQaJSoNQrUGiVqjTKe1tVg1PDmn2L11u/58fkn\nHU/3cSQmevjKt2M5qYcqxWlqqomqIy3UHGnj8IFmGuti4XQKhcDEqWnMmJcdky8+vlLEyBGKJ9Vg\nNPgQBCWmtCWY05f1mvq1a+ww8gqmdDmdSZJEtDMUTmOczKef5WNv87P84knMnH8sb7Xtz3/EseEz\nLBdfStotX+3XNZq9rTy57ZcY1UYeXnwfWuXJnUTPtkl8NCrswZzYdMkvSRJ1rgZ+s+d13CEP0c5K\nSym6ZK4svJhFGUPvLDocjEqns7cPrgPWkaFPY0nmAhZmzMWiGf1J4/N/+vCxf669nmggEKs0drgS\n3+FK/EcO4/xi4wnnhVpacHyxAW1+AerMLARl7x9Rf1b8w8mZOL8pFGIPJdUbJ1v192UN6EtRn4o1\nayZyzmI7ZrN/0BWf0axl+txsps/Nxu30U3mgmYN7mqjYZ6Nin420TBMz5mczaWoaINBkTcNqS2Xa\n9A4mFlTjtH2Bu7UUc8YKTCkLeoSDdZ9ojMSY7cwp36Hl6BsEQk60psl8sXkC9jYPsxbm9FDW7l2l\nODZ8hjonl5QbbuxX35Ik8c+KNYSlCDcWXd2nsgZ57/pkOAMnlt4dTARB4B8Va3AGY5OXdF0aueYs\ndrfsZ4d115hV2KfDsCvslefey7pDG9nTsp+3j6xlzZH3mZpczJKMBcxKmYZKcWYlKEcKokaDfuo0\n9FOnATFP10B9HUpbPTV/fYOI2w2SRMTpwPbH2IpIUCpRZWSiyc5Gk52DOjsHTXY2yqRkwg5Hr9cZ\nqvSpQ80Nt88bkOm9tzZ9OcgNZByvPPs5JoOTFcuPxvuKRiQ2bp5PeraZvDNzPj8p3eWfsziX+mo7\n+0obqDnSxvr3DrFjQxVzluQhSRKCIHDuVRcQjYZwNW/D2byJjoYPcbVsw5J5AfrEGUOW/vSYF36M\n050EhAJumg//maC3EastheaKYmyNDoqnp7PswonxduEOO9Y/vY6gUpH5zXsQVf3LDLe7ZR8H2suZ\nkljE3NSZpzXG8c5zJS8R7tyy6PLA78tfYDDQq3R8ffrXCEVCcuKV4xh2hf30hpdQCgqeXv4wpc27\n2dpUyoG2cg60laNT6liYPocV2Ut7dRQZzQiiiDYvn9T5M1AuPAeAaChIsL4ef20NgZpq/LW1BBsb\nCNbX0cNwJgh0uS8ffeA+0u/8OprsHBpf/nW/c62PRM5GnHR/+Pb958WLa5wtepts5BYmkVuYhLPD\nx54d9RzY3cTGDyvRGVTMXpRLKBhBpVaRkLEcY8o8nLYvcLXsoK3mbZy2LViyLiS96OvxZDGDsbru\nvmLv/txA+w4F2inf/jeCvjbqGtLZu78ISXKQPzGJ86+YHN8ekyIRml75DVG3m7Sv3YYmu+8qXF0E\nIkHerHwXhaDg5uJrx9R223AzFIq6t4nAWFmsDSbDrrABwlKEl3e/zn0L7mVF9lKsHhtbm0rZbi1l\nQ8MWNjRsYZKlkHOzlzI7dcaY9SIUVWq0hRPQFk6IPydFo4TaWgk2NBBoqCfY0IC7bCdSMJYTO9zW\nSsPzz8YaK45lGfPXVOOvrkadlYWoHniu6tHIQFfpfdE9Pngw+z0dzBYdyy8uYt6yfPbsqGffzga2\nfnqU3dvqmLcsn+lzslAo9SRmX4IpdRGOps/xtO+m5ejf0BjzY5O7s6Sw+lNFzO+qorX6X0TDXhqb\nJ7FnXyYgoFIruPi66SgUx1ZVrav/ha+yAuP8BSRc8KV+j+OD6k+wBzq4NP9C0g2jMwxuJHDfgnvj\ne/tD7Yh3Nhz9RjvD7nR289+/A/TuwBCJRtjXdpAN9Vs4ZK8EwKQ2ck7mIpZnLyFRaznr4x1sTtfx\npOLbdwOQ+Y1vE2ioI1BfT7C+nlBrS8+GgoAqPR1NTi6a7Bw0efloCwpHTHH5keh4czZraHeXv7+T\ngoA/xO4d9ezZUU8oGMFo1rDgnAImz0xHFGPKLuiz0dH4CX7n4fh5Kl06mVO+fdJ++5s9ratdF93b\n99WHJEk4bZtwNH0KSPh8atZviMVEq9QK7vzPZT1S27rLdtH44guo0tLJe+jRk4ZGHo/V08xT2/8H\ns9rEI0vuQ60YmRPWkXjv98ZghnV1Z7TIP1SMSi/xm//+HZSC4pQOH83eFjY2bGVLUwm+sC+WwzZt\nDhflnUuOaXhrWp8Jg33T1jz5cwJVsb1XhTkBdUYGgfo6ol5vj3bKpGS0hYVoCyagLSxEk18wLJna\nRuKXdrgU9kDxeYPs2lrLvp2NRMJREhJ1LFxRwKSpaXETcOPBlwn7W+PnGFMWkJBxbnwl3KVYB0Pm\nvvoIBztor30Xv6sKhGMJU8JhBS63nmnL/wuV6piyDrW0UPP4o0ihEHk/fRhNbl6/xiBJEr8ue5Vy\n+2G+NfMOZqf2L/RrOBiJ935vyAp7aBiVXuKiIGLW9O0RDPDnA/8A4KlzHqTEtpv1dRvYYdvJDttO\npq2oUWAAACAASURBVCQWcVH+eUxJLBr3e1X5Dz5yQj1vSZII2+0E6msJ1NTgr67CX3U0nqUNAEFA\nnZkZixMvmoyuuBhVcu9VvoaLs+VQ11sBj/5yslrqQ4FO///Zu+/wtsqz8ePfo23Le9vxdvYeJiSQ\nBMIIexZaCgQKvHRAX/qyfxRK6VtWIW3ftmlpmw7aFAodUDZhJCGE7B0nsZN4770k25rn94diYSeO\nbTm2Zcn357q4SKKjo+eRjnSfZ92PgXMumMjss9LYvaWU/P3VfPL2EfZuLeOspZlkToojZdo9VBf8\nEdXVCShYGnZhadhNd1q5kZ45rqpuLA27aan6FNVtxxQxCXtXG267ZxMZnc5FdFQ7jcV/8ZbDbbdT\n9dtf4+7o8MzPGGSwBthTt5+C5uPMiJ3K7LgZI1InIfzF7y1sGDhxSl9r/1RV5VBjPp+WbeJoiyfP\n94SwZC7NvJC58TMDZnahv+4yVVXF2dREV0kRXcXFJ4J4ca/tRXUxsZ5kL5OnEDJpMobk5GG/IRps\n/YeyF/rJwdOXgD+YsdjhKONwfv5tLZ3s/LzEu6NaXGIYTqcLg1HHV25bgKq6sDTuo7niAzix1lWj\nDSV+4s0YQ1N82lCkr+77ni3stLk/oLPtKC2Vn+K0NaBojURPuJSW9jTe/cdBFufuJTzcik7naWl3\nt8hVVaVmzW9p37GdiHOXkviNOwd9zXU5u/jfbauwOjt4YuGDxIfGDvKd84/x1MLsa437eKp/XwKy\nhT1UiqIwM24aM+OmUdpWzqdlm9hTd4A/5v2NFHMSl2ZeyLyEWQETuEeboijoY2PRx8YSvuAswDMj\n11ZeTufRAjqPHaXz2FHvRicA2vBwT/CePIXQKVMxpExA0YzN97dn8OwO3IE8g76n0914RESFcOFV\n05i/OJ1dX5Rw/MiX8xn+vmYHN/3XWYTHLcAcPYvq/N/iclhwuzqoLfgD+pAk73Kwk/UMzm+s3UNT\nvdWbya57RvvJs8cr9j+HqjoBhbDYBYQnLmP/rkZ2fn4A8GSh605F23Nte9N779C+YzumnIkk3Hqb\nTzeI7xd/Qqu9jcszLxrzwXo86WtpmBga7VNPPfWUvwvR0WHv9/FzUhZypPEo0caoPj/sKGMk8xJm\nk5s4ly6njYLm4+ytP8De+oOE6UNJMieM2a5ys9k4YP1Hi6LRoIuKIiRnIuELz6Z9z25czZ49pzVh\nYWj0BrqKCunIO0jrxg20rP+EzqJCXG2tKDod2vAIn9/nwdY/cukyGt9/FzQasn+yasDjWzdvwtnc\nBIAuxpPasuffI5cu6/f57fXbAYhI6HujiOEoI/j++Zc99zTOxgZwu7EeyuuzHiGhBnKmJrBvW5k3\nX3pXp4OK0mbMYUY+fa+AypoMzl5xI0ZzGqrbhs1STld7Ie312+hoLcBpawLVzQdvFlBd3oG13cb+\nHeW0tXT1ygEfFmFg4hQDloY9qK6uHqVwExo9i9jM63Aok/norWMczavtVU6XS6WsPIW2zplMm5OM\nZe9u6tb+BV1MLKkPPjLoSWYAVZYa1ub/g1hTNN+YcTNaje/7so+2sfTdH0lbqnbSYvPkjYg2RnFO\nykJg/NT/dMxm37dmDogucV/VddTzYcl6dtbuxa26SQpN4KqcS5kTN2PMBe6x3C10chdv2v97HEdD\nPZ0FBXQW5NNxNB9nY6P3eE2omZDJkwmdPJWQKVMwpqUP2ALvWf/hHv89uSU63F3iqqri7uzAZbGi\n2rpw22y4bTZPd7NGi6LRoGh1aMxmdOHhaMzmU94PXz9/X7rde67tNpp03nSu3RJSwvnKbZ6tTt96\ndRsxEdVMnmLBZi3rld/bZtPTZTNidxhwOjUoqOh0KqFmB+ZQG6r7yx9dVQW7XU/W/HtRCWXf9nL2\nbCvrFeS7Z4L3zDd/2blRVPz0J6CqpD/2hE/j1qqq8n97f8vxlmK+M/sOZsZNG/Rz/Wksf/eHm3SJ\nnyogZ4nDyG3+UdfRwLqS9Wyv2Y2KilFr4Duz72BSdM7ATx4lY/2iHSiIOhrq6Sgo8HSjF+T3Wlam\nCQnxjIFPmUro5CkY0zNQtL1bPt31H8r4r698SedaeegXqKpKcsZd2GtrsNfW4KitxV5Xh6u1BWdL\nM86WFlSHY/AFUBR0UVHoE5MwJCZiSEwmce40uiIT0RgHf7fty41Nz+7s+pp23n39AF2dnjIrGoU5\nZ6VSXtxE44md1BInRHDtLbOwWUqxWctxdNbRXFeOXm9Dq+m9SYeiNaLTR6APSWL39i7q6iKwWEPR\n6bUsOi+b3VtK6exwEBpmQG/Q0trU6X2N61fO552/78fhdHHlxcmUP/8sLquFlHvvI2zuvEG/FwA7\navbwl8OvMTtuBt+afbtPz/Wnsf7dH2lSfwnYfXp2+/9Raa3y/n167BSuyb5sTCwHC7aL1tHUSMWq\nF3DU1Z7ymMZkwjRxMqFTpmDKysaYlk5SZtKoBezTcTvsnmBcU429pjs412Cvqe2961o3RUEbGYku\nMgpdVBRacxgakxHFaEJjNKJoNKhuN6rLhep04rZacLVbcFnacTQ24mxq7H0+jQZjahohEycSOnMW\noVOm+RTAffXPl3fRYbHjcrpPaXXHJpi58Y7cPnui3C67d1xaUbRoeqxvXvPTTTgdnols3Yn49AYt\ns89KZe7CNAxG3SkbwsTHh7PrvgexVVaA00nibXcQucy3HPSdzk5+tO1Fupw2fnD2Q8SGBM6Wo8H2\n3feV1D9IA/aZ5q7tOcvcpDXS5bKhoJCbOJcrsy8hLiRmSOcdDsF20fYMvADGjEyiV1xCzR9+702n\n2pMxIR5dSirGtHTad2xD0etJe+QxtKHmIb029N3ydNvtOJuacDQ14qir9QTmmmocNTU4GhtOLZtW\niyE+AX3Sl61hfVIS+vgEdJGRZzTZzm2z4airw15dhVJbQVPeEWylJagnJsUpOh0hU6YSNn8B4QvO\nQhsWNuTX6o/T4aLkeCNH82ooLWzy/nt4hJHE1EjiE8OJSwwjPNKEOdyATufpHXG73XR1OLC022io\ntbBjUzGdHV/2NISY9Uybk8zs3FRCQk+ftKTyuR9jLfSs8NDFxJD9ws98rsM/jr7FZxVfcFX2JVya\nOfhMaGNBsH33fSX1D8KAPVzbuXUH/QcX3MPhpqO8XfgBFZYqtIqWZRMWc2nmhYQZfA8SZyrYLtqT\nA7YpZyKA99+MGZnEXHKZJ196eRmOinIcfWxkojGb0cfGoY2IRBcRjjY8Am14OBqDAUWvRzEYULQ6\nVJcLXC4a3vkPznpPd7w2MgrzjJm4Oqw4W1pwNjbiau97xyFtRASGpGTvf/qkJM//Y2NP6b4fCd4t\nBp1OOguPYz14AOvBA9grT8y41moxT59B+MKzCZufO2It7w6rnbKiJsqLGikvbj6l5d1No1G8E9n6\nEhkTwtfuOqtXetG+OFtbKHnsEdwnUuwas3N673A3CGXtFbyw81fEh8by/YUPoA+wlMXB9t33ldR/\nHAXsM82+41bd7Kndz9tF62jsasKkNXFJxnLOT1uCYRSTzgfjRVv23NPYKiowpqaS/tgT/XZ3x8eH\nU328HFt5GfaaWhx1tTjq67DX1eFsavRtjLgPik6HLjYWfUwsuhjPMjZdbByG5GQMSUmDbsmPVEKU\n033+jsZG2nftoH37NmxlnutfExJC+KLFRC1bjjEtbVjL0ZOqqrS1dFJX3U5TgxVrmw2rxY7T6UZ1\nq2i0CqFmA6FmAzEJZuITw9n00VEURRlUrnVnSzPlq36Co6bG03+u0TD5d3/0qYxu1c1Pd/+GkrYy\n/nvu3UyNmTTU6vpNMH73fSH1D8KADX3PMByuzeYdbiebK7fxQcknWB0dRBkjuTJrBWcnLxiVNdzj\n5aI93Qzt/uqvqiqqzYazvQ1XWxsui4X6f7yGo7YGAF1cHDGXXo6i1aLodDS+8zZoNSTdcTfasDC0\nZjOakJAzXis+kuPrPSfdQd83BPaaGtq2baF18yZcLS2ecmTnELnsfMIXnh0Qm7t01y/x9jup/MVP\ncTY2knLt1ZivuG5IKze+qNzOqwX/ZkHCHO6cectwF3dUjJfv/ulI/YM0ccrJQXk4FuLfu/4RAH59\nwQssT1vCouQFfFS6kQ3ln/O3/H+yvvxzrsm5jBmxU8fcUrBANJTNRhRFQTGZMJhMEO/Zcanp/Xdx\n1HafM4qo8y/wHh+x+NxhKetoOznJy8lB25CURNy11xN71TVYD+ynddNGrHkH6SoqpP4frxG5ZCmR\n51+AIWHgXamGo6fA13P0rF/pU0+A203sNdeR+Y1baGiwDPDsU1nsVt4q/ACT1sj1k670+flCBKqA\nSJxystMtxB+sBz77Aa4TAf/Tsk1cknkBeo2eqTGTODtpAZ3OLvKbjrGzdi/HWopINicSZRyZ3a3G\nS/KA6IsvIfriS075d1/rH7l0GdZDeehiYkZkJnnZc0/TunlTr4QkI/maZrOR6nWfDCqpi6LRYEhO\nJmLRYiLOXYLGYMBWXkbHkcMnktgUoQkNQR/fd6Kg7sDpbG46bdKVgQzlHC2ff+ZNwIOqknjHfxF9\n0YohX/v/PPoWRW2lXJNzGdNip/j8/LFivHz3T0fq7/t8lIBoYZ9sJPdojTZFceu0G7kgbSk/2/MS\nx1qKeGHXr1iQMIercy4lLkRSHvrbSC356q+lO5LLzLrH+X15HX1sHHHX30DMVddg2b2Tlg3r6cg7\nQEfeAfRx8USet5zIpcvOeIb5YMt1uuNcHVYMcXHYijyzwVMfepTQqZ7EJgce+T4Op8un97aotYQt\n1TuZEJbMeamB2aMixFAFZAsbYEv1Tow6IxekLfX5uZdkXsD7xR8D8MvTjIH/7sBfqO/0bEto0Bio\nsFTxeeU2rI4O0sNTh22PXbnLHDv1Pzmd6VBaoL7qrn/k0mVDej1Fq8WYmkbk0mWY585DdbtPpI89\nQMsnH+Goq0UXFY0uOtrnnoK+WtN9neN0rW7Lgf1U/eJndBUe92TK+/4PMJ2YLFf23NN0HDvmU0vd\n5Xbxu4N/od1u4e6ZtxHrx+WYw2EsXfv+IPUfJy1sOPO9WWNMg0+wkGJO4oL0Jbxd+CEbKjaztXoX\nKzLOZ3nakmEL3ML/htLSHUtM6Rkk3X4n8Td8jbYvNtOycT1tW76gbcsXGDOziFp+AakPPtLnJLXB\n1Huw7429ro6GN/6FZdcO0GqJveY6Yi67AkWn857HVlHR7zn6sqlyK5WWahYl55ITlenz84UIdAEx\nS9xfTk7Y4nQ7+fykGeVXZK1g0RnMKJeZklL/kar/0Xu+BXZbr3/TmM1ELllKxDlLMaSkoChKv7Pg\nvTudQb8z5Y9++79AVYk673xaPtsILhem7GwSV97Rawnayev00ekGldu9uauFH29fhVbR8uSihwk3\njEwymdEk177U31cB28IeDSePj+s0Ou+M8o9LP2N9+ee8kv9P1pdv4tqcy2VGuRhTFEXBezduMBJ9\n4UW0fb6J5nUf0rzuQ/SJiYTNnY+7s/O05+jZ7d0Xt82G9eB+zDNnYd2/j5b1n6KPiyfuKzcSlntW\nv9+H8ClTSH544J4yVVV5reBNbC47t069MSiCtRBDIS3sM9Bia+W9oo/YWr0LFZVJUdlcN/EKMiIG\nn9RC7jKl/iNZ/2P3fhuASb/+LQBuhwPLnt1Y9uzCevAA6olMYygKitFI1HnLPUllEpPRRUWhMYei\nMRhRXS7KX3we1ekk9uprsZWV0lVYSGfhMe85FKORxNvuIHxBrrf7uy/dXeJhmRmDCti7a/fxp0Ov\nMjl6IvfNvTtoborl2pf6+0oC9jCostTwVuEH5DUeAWB+wmyuyFpBknngdbFy0Ur9/VV/t91Ox5HD\nWPMO0HX8mGdc2cefA0VvQHV8OXFoMIllfElEY3FY+fG2VdhcNh5f+CDxocGzSkOufam/r6RLfBik\nhCXxnTl3cKy5kDePv8+eugPsrTvI/ITZXJJ5ARPCkv1dRCFOoTEYCJszl7A5cwHPEix7ZSX26mrs\ntdW42tpxdVhR7Q4UnRZFp0cXHYUuJhZDygRCsnOo/NX/9R6THmZvHnsPi8PKtTmXB1WwFmIopIU9\nBP3lMVdVlf0Nh/iw5FPK2ysBmB03g8syLyQ9IvWU4+UuU+of6PU/OXf8YJ+j12n77RLPbzrGr/at\nIS0shYdz/xutZuQ3YxlNwfDZnwmpv7SwR0Wbre+dn8Az0Wdu/EzmxM3gUGM+H5Z8yoGGQxxoOMT0\n2CmsSF/OxKisoBmHE2IoS+DSH3ui3x/sTmcXr+T/CwWFm6fdEHTBWoihGPndLYJMdx5zp+ryLvvq\ni6IozIyb1mtI8HBjAf+397e8sOtX7KrZi8vt6vP8/Z1XiPHgjWPv0NTVzCUZy0kPP7VnSojxSAK2\nj8rbfUv40LMlnRyayNz4mZS3V/Lnw3/nya3P89aRj+hwdABfbiVa3FYqQVuMWwcbDrOleiepYSlc\nlnWRv4sjxJghXeJDpFO0g8pj/lDuvackYKnvaGRjxWa2VO/klQNv8k/teyxKysXuGr9p+oQAz05c\nr+T/C52i5bbpX0OnkZ8oIbrJt8EHPbf1TPOhm+7kwB4fGsuNk6/hiqwV7G/bx7v569lUuQUAo9ZI\nhCGM78375vAVXIgAoKoqrx19k3a7hWtyLpPVFUKcRAK2H4XqQ7h66goWRi/kYOMRNldu40jTUeo7\nbTy+5RkWJeeyJOVsEkLj/V1UMQb1t1ohEG2v2c3eugNkR2ZwUfp5/i6OEGOOjGH74KHce9Ep2kF3\nhw+WVqNlbvxMajvqiTREcHH6+SgofFq2iR9te5Ff7Pkd26t3YztNl7lMVBOBrsZax+sFb2LSmrh9\n+k1Dzs0vRDCTFraPfnGa7TiHQ/dysWsnXs4V2SvYX3eQzVXbOdpSyNGWQl4/+ibzEmazKMmzW5FG\n0XgnqoEncA/3/uBi7OpveWEgsbsc/DHvb9jdDu6a+TXZc16I05CAPUb0HB/vDry5SfPITZpHQ2cj\n26t3s61mN9uqd7GtehdxphjOTl6Aw+30c8mFP/R1vQSqfx97myprDUsmLGJ+wmx/F0eIMUsCdgCI\nC4nliuwVXJZ1EcdbitlWvYu9dQd4r/hjABRAQeG7c//LvwUVwkc7a/ayuWo7Bo2e8rZKfxdHiDFN\nUpP6Wc9sT9/b4Jk8NJhu9y5nF3vr89hevYtjLUUAGDR65ibM4uykBfztyD9pt7eTFp46pltfkp5w\n6PX35XoZi9q1Tfzg01U43S7UExuBZkVkjOnrdTjJtS/199WALez9+/ezatUq1q5dy/33309DQwMA\nlZWVzJs3j5/+9Ke9jr/uuusIC/PsV5uWlsazzz7rc6HGK19+eE06E4uTc1mcnOvpMq/Zw47q3eyo\n2cOOmj3e47qTsATTj2AgBKrRKGOEMWLEzj3S2uztrNr9O5xuFwkhcdR21vu7SEKMef0G7DVr1vD2\n229jNpsB+PnPfw5AW1sbt912G4891ns5ic1mA2Dt2rUjUVZxGnEhsVyRdTGXZ15EYWsJ26t3s6V6\nh/fxKms1myq2siBxDmZ9qB9LeuaGY+x2pJdDBdP48khwuJ384eBaGjubuTr7Ui7JvMB7gyPvlRCn\n12/AzsjIYPXq1TzyyCO9/v2Xv/wlK1euJC4urte/5+fn09nZyV133YXT6eSBBx5gzpw5w19q0SdF\nUZgYlcV/jr//5b+hYHc5eP3om/z72NvMjJvOouQFTI+ZMm43VAiW2dWBuP7arbr56+HXKGwtYXHa\nAlZkLAfGdm+JEGNFv4sdV6xYgVbb+0e9sbGRbdu2cf31159yfEhICHfddRd//OMf+dGPfsRDDz2E\n2+0e3hILn2RGpPP0ud8/sZ9wHPvqD/LbAy/z+BfP8K9jb1PeXuXvIvrkTNfCD3bzljMxUuv1A52q\nqrxx7F321B0gJzKLe8++XXatE8IHPs8S//DDD7nqqqv6/KJlZmaSkZHh/XNUVBT19fUkJib2e86h\nDL4Hk+Gu/08u+3/c/M//9v4ZYFJqKl9Xr6S4uYyNJdv4onQnG8o3s6F8MxmRE1iWuYilGWcRFRI5\nrGUZDF/r/+pXVw/5tfR6ba8/j9S150sZx8v1/9aRj9hQsZm0iGQev+BeDFo98fF6fxfLr8bLZ386\n473+vvI5YG/bto177rmnz8feeOMNCgoK+OEPf0htbS0Wi4X4+IHTao73mYIjUf8Ig+eLcPK5w4nh\nqrTLuWzCCg415rO9ejd5jfms3f9vXjnwJtNiJnN20gJmx01Hrx35H9PRnin6vTnf9o6Xfm/Ot/1+\n7Y2XmbKflm3ijePvEmWM5Fsz76Cz1U1YvHz3pf7ju/6+GlTA7tmaLi4uJi0trdfjjz76KPfffz83\n3HADjz32GLfccgsAzz33HBqNpBj0h4HGN3UaHXPiZzInfiYWu5VddfvYXr2bQ435HGrMJ0QXQm7i\nXBYn55IenhrwXZc9J5rJeOno+rh0I/8pfJ8oYyTfm/dNok1R/i6SEAFJ1mH72Vi7y6yy1LCjZg/b\na3bTZveUK9mcyKLkXBYmzfe23IfLaNV/rC4FG2uf/3BSVZUPSz7l3eKPTgTrb/HMds8y0F8sfy6o\n6z4YUn+pv6+0Tz311FPDXxTfdHSM332gzWbjmKp/uCGMqTGTWJ66hMyIdFxuF0WtpRxuKuDTsk2U\nt1ei0+iIC4kZcIOGVbt+zZaqnZyTsvC0x4xG/Vft+jVNtmbcqBxpPNpveUbbWPv8h4vL7eLvBf/m\n0/LPiTFF87153+Kvh1/v9TlcPGlJUNZ9sIL1sx8sqb/R5+dIalLRJ61Gy8y4acyMm8ZPdvySMksF\nAAcbDnOw4TBhejNnJc1jcfJZfe5b3N+mJMG2LaTozWK38udDr5LffIy08Al8Z/adRBplcpEQZ0oC\nthhQz/XaE8zJTI7JYWfNXu8s87TwCSxKyiU3aS5hevMpz+8O3IPVvdxquJZEPZR7r18SczjdTtrs\n7XQ6u7C5bHQ6bThcdlAUNChoFA3x7kgcVjDrQzHrQzFoDcNe/76M1GsUtZbyx7y/0WJrZWbsNO6Y\ncTMmndH7Wn297lgdrhBirJExbD8LlHGck39onW4nhxrz2Vq9i0ON+bhVNzpFy6y46SxKzmVazGQe\n/vwpbC5P9rueOaJ7/kCfXP+eLfPB5JUebOAZqVa93eWgtqOeamsNNdY6ajrqaO5qptnWSrvd4vP5\nNIoGt+rJXRBpiOD6iVcwITyFhJC4YUt04+t73N95wPPeO9xO1pWsZ13pelRV5crsS1iRcX6/wybx\n8eGs/Nf/9HmNjAeB8t0fKVL/EZolLsTJP6Q9Z5m32dvZWbPXs4tY/UH21h8k0hCOUWvw/hh3Ozlt\nZ/c68aHwZS9wXwN1XwHe5Xbx/M5fYnPZmBiVRUlbOXUd9d6NK7rpNTqijJEkRyUSaYwgRBeCSWfE\nqDVi1BpQUXGrblRVRWdSqG9tweqwYrFbKWwt9gbsVnsbfz78d+85k81JZESkkR2ZQU5kJjGm6FGb\nvd8zOK/a9WuqrDXez/bpbT9FVaDGWkuUMZLbp3+NydETBzznbf/+n1OuDyHE6UnAFmcswhDOhenL\nuCBtKWXtFWyr3sWu2n10ODu9x6SFp3C0+TgDdeicrtt0tLXZ2lBVlX11ByluK6O4tYyi1hJvcG6s\nacKkNZITlUmyOYkkcwIp5kQSQxOJMIQNOpD21cp4cedqXKqL6yddQaWlhgpLFZXtVVRZqilrr+Dz\nyq2ApwWeHZXpDeCpYSmDaoX7+h73vDF64LMfnBJkqztqAVg2YTFX51xGiM40qHN2OXufZzy1roUY\nCukS97Ng7RZyup0cbS7kD3lrsbsc3kBn1oXS4exEAf73nMeYnJZ2RvUfruBudzkob6+kuK2UdSUb\n6HB29HpcQUGn0eFwOwDPWP7/W/i9AWfKD8SXz9/pdlLeXkVxawmFraUUtZZ4l96BZ3vVzIj0E0E8\nk+zIdEJ0IWdUPugdsA0aA3Z375m9E6OyuDbnCrIi04d0ToAYU/S4m4QYrN/9wZL6+94lLgHbz8bD\nRetyuzjWUsTe+oPkNRyhxdbqfSw1Ipns8CyyItPJjEgnPiR2xLt5nW4ntR31VLRXUdpeQUlrGRWW\nKlwnuup7ijZGcdv0r5IenopJZxr21v+ZfP6qqtLY1UxRawmFrSUUtZRQba313hwpKCSbE8mOyiS/\n8Sh6jYGHcu/BNIgWcE/tdgs/2/0SHc5OVNxYHZ6bmUlR2VyUfh4zYqcO6TP7xf7f4nC4xm3Lejx8\n9/sj9ZeAHXDG20Wrqiq1HXUcaTrG4aYCjrcUYXc5vI+H6c1MCEsmyZxIUmgCSeYEYkzRRBoj0GsG\nP4LjVt202y00djXR0NlEY2cztR11VFqqqemo844TA2gVLWnhE8iKSCczMp2siHR+tPUFFEUZ8ZnL\nw/35dzg6KW4rpajFE8RL2sq9vQLdYkzRxJliiDRGEGmMIFQXgl6jQ3uiB6HL2YXV0UF9ZyN1HQ00\ndjV5nxthCGdu/EzOSTmbtPCUPssw2Fnf4+3aP5nUX+rvKxnDFqNKURRPMDYnsjxtCVExJvYWH6Wk\nrYzi1lJK2sooaD5OQfPxU55r1ocSrg/DoDVg1BrQa/UoKLhVNy7VjcPlwOq0YnV00OHoPGUyGIBB\nayAjPJWUsGQmhCWTFj6BtLCUU/KmR5pGfxOU4RCqD2FG7FRmxE4FuifK/YIqaw0AJq0Jh9vB0ZbC\nQZ0vXB/G9JgpZEdmMik6m+zIjH6HAWQvcCFGjgRs4Vd6rZ6syHSyItNZnrYEgC6njdqOOu8yqRZb\nK622NlptbVgcVmxdzae0GsGzJMqsC8XucmDQGpgWM5nYkGjiTLHEhcQQHxJHbEj0oMadg2U8VavR\nYtR+mVEp2ZzoXYbVZmuj1d5Gp9OG0+3E6XZi0OoxaY2E6EKIDYkZ1AQyIcTokIAtxhyTzkhGangx\n1AAAIABJREFURBoZEWmnPcatunG4nSh4AnX3fz0nM7Xa2rh71spRKnVg0Wt0xIbEEBsSM2zn7B7f\n1ymemerSuhZieMlWWiIgaRQNRq0Bg9aATqM749naweyh3HvJisgYdCKa7sDri+4bpeK2UrQanWQt\nE2IEyK+cCCq+BKfx5KHcewcVrLuD7lCCdjeby3ZGzxdC9E0Ctgg6gwlOYng9lHtvr7FyIcTwk4At\nhADOvHfiZ+f9WHo3hBhBMulMCOF1poFWArUQI0da2EIIIUQAkIAthBBCBAAJ2EIIIUQAkIAthBBC\nBAAJ2EIIIUQAkIAthBBCBAAJ2EIIIUQAkIAthBBCBAAJ2EIIIUQAkIAthBBCBAAJ2EIIIUQAkIAt\nhBBCBAAJ2EIIIUQAkIAthBBCBAAJ2EIIIUQAkIAthBBCBAAJ2EIIIUQAkIAthBBCBAAJ2EIIIUQA\nkIAthBBCBAAJ2EIIIUQAkIAthBBCBAAJ2EIIIUQAkIAthBBCBAAJ2EIIIUQAkIAthBBCBAAJ2EII\nIUQAkIAthBBCBAAJ2EIIIUQAkIAthBBCBAAJ2EIIIUQAkIAthBBCBAAJ2EIIIUQAkIAthBBCBAAJ\n2EIIIUQAkIAthBBCBIABA/b+/ftZuXIlAIWFhXz961/n5ptv5vvf/z6qqvY61u128+STT3LTTTex\ncuVKysrKRqbUQgghxDjTb8Bes2YNTzzxBA6HA4DVq1fzne98h1dffRW73c7GjRt7Hf/JJ5/gcDh4\n7bXXeOihh3j++edHrOBCCCHEeNJvwM7IyGD16tXelrTJZKKlpQVVVbFarej1+l7H79mzh6VLlwIw\nZ84c8vLyRqjYQgghxPjSb8BesWIFWq3W+/dbb72VZ555hssvv5ympiYWLlzY63iLxUJYWJj371qt\nFrfbPcxFFkIIIcYfnS8HP/zww7z66qvk5OTwyiuv8Pzzz/Pkk096Hw8LC8NqtXr/7na70WgGntcW\nHx/uSzGCjtRf6j9ejee6g9R/vNffVz4F7K6uLsxmMwAJCQns3bu31+Pz589nw4YNXHbZZezbt48p\nU6YM6rz19e2+FCOoxMeHS/2l/v4uhl+M57qD1F/q7/vNyqACtqIoADz99NPcd999GI1GDAYDP/7x\njwF49NFHuf/++7n44ov54osvuOmmmwB47rnnfC6QEEIIIU6lqCevzfKD8X6XJfWX+o9H47nuIPWX\n+vvewpbEKUIIIUQAkIAthBBCBAAJ2EIIIUQAkIAthBAB4psvbuCbL27wdzGEn0jAFkKIAPDM2l04\nXSpOl8oza3f5uzjCD3xahy2EEGJwnC43pbXtVNZbqWnqwNLhoNPuRKtRMOq1JMWHEWHSkRxrJj0x\nDJ1W2k+ifxKwhRBimNgcLvYeq2fH4TqOlDVjs7sG9TyDXsOk1Cjm5MRy1tQEIsOMpxzz+Mpcb3f4\n4ytzh7XcIjBIwBZCiDPU1mHnk13lfLq7kk6bE4CkmFCmZUSTmRROUmwokWYDJqMOl0vF5nCBVkt+\nUQPl9RYKylo4VNzEoeIm/v7JMaZlRnPhglTm5MSh0Sje1/n9w8v9VUUxBkjAFkIIH3W3dFf/zzI+\n2F7GB9tKsTvdhIfqufKcDBbPSCI51tzvOeLjw0mK/LIl3dxuY3dBHTuO1HG4pJnDJc3ER5m4ZGE6\ny+akSJe5kExn/ibZfqT+47X+gVr3Z9buorCyDQCdVsHpUokMM3Dl4kyWzE7GqNcOcAaP/upfUWfh\nk93lbD1Ui8PpJi7SxNXnZrF4ZiLaQWyoFAgC9fMfLiOWS1wIIYSHu0cbx+lSufTsdK46J5MQ4/D9\nnKYmhPGNy6Zx/bIc3ttayoa9lfzp/SOs21HGLRdPZmpG9LC9lggcErCFEGKQ6ls6cTi+DNhP3XEW\n6Ykjt0VkhNnA1y+axCUL03hrczGbD1Tzwt/3smh6Il+9YCJRfUxOE8FLArYQQgzC0fIWVr9xEEun\ng/PmpnDThZMG3f19pmIiTNxx+TTOnzeBtesK2Ha4ln3HG7hx+UTOn5vi3VFRBLfgGAwRQogRtDO/\njlWv7aWjy8nKS6Zw+6VTRy1Y95SVHMETt+Vy26VT0CgKa9cV8NPX99HQ2jnqZRGjTwK2EEL044uD\n1fz2rTx0Wg33f20Oy+dN8Gt5NBqF8+dO4Mf/dTazc2I5XNLMk3/cwab9VYyBOcRiBEnAFkKI09iw\nt5I/vneEUKOOh78+jxmZMaP22g//ZgsP/2bLaR+PDjfyvRtmc+fl01AUePmDfH7xrwO0We2jVkYx\nuiRgCyGC1plslvH5/irWrisgPFTPIzfPJys5YphLd+YURWHJ7GR+fNfZzMiK4UBhI0/+aQd5RY3+\nLpoYARKwhRBB6Uw2y9hdUM/LH+YTFuIJ1mkJYSNUytNrtdpotdoGdWxMhIn7vzqHr10wEWung5/9\nYz+vfXoMh9M9wqUUo0kCthBC9HCktJnfvX0Ig07L/9w4hwlx/WcsGwlDudnQKAqXLEznidtySYwJ\n5aOd5TyzdhfVjVafXnugrnjhPxKwhRBB6fGVuei0CjqtMujNMqoarKx+4wCqqvLdr8wiO2XsdYMP\nJCMpnB9+I5cls5Mpq7Xwo5d3+jQhzZeWvRhdErCFEEHr9w8vH/SGGZZOB7/81wE6bS7uvGLaqE4w\nO9lQbjZ6Mhl03Hn5NL59zQy0Gg0vf5DPS//Jw9rl6Pd5suf22CaJU4QQ40p3d++L95zj/Teny81L\n/8mjrqWTKxZ7Nu/wt0jzmWcxWzgtkeyUCH7/zmF2FdRTVN3G3VdOZ0q6pDYNRNLCFkKMK311+f79\n02McKW1m3qQ4rluW7aeS9fbiPef0uqkYqrjIEB69eR7XLsmipd3OC3/fyxubinC6Tp2QdqYtezGy\nJGALIcaNvrp8t+RVs2FPJanxYdx91XQ0QZjmU6vRcPWSLP7fLfOJjTDx7pYSfvLKHupaTs2QFmk2\nDkvrXgw/CdhCiHGrssHKX9cVEGLU8t3rZ2IyBPco4cTUSJ66YyELpyVQWNXGU3/awdZDNb2OGa6W\nvRh+ErCFEONGzy7fh742j5f+k4fd4eaOy6aREB3q7+KNilCTjm9dPYO7rpiGCqx55zC/f+cQHV1O\nfxdNDCC4byeFEOIkkWYjqqqy9qMCqhqsXLggldypCf4u1qhSFIVzZyUzKTWS3719mG2Hajla3sI3\nLpvKzKxYfxdPnIa0sIUQ48qL95zDtUuz2ZJXQ1ZyOF9dPtHfRfKbhOhQHrt1Plefm0mrxc7PXt/P\nn98/Iq3tMUoCthBiXKlr6eSVT44SYtTy7WtmoteN759BnVbDtUuzeeK2XNISwvj8QDU/+ON2DhRK\nPvKxZnxfqUKIccXldvOHdw5js7u4dcUU4qNC/F2kMSMjKZwf3J7LtUuyaLPa+b9/7mfNO4dpld2/\nxgwZwxZCjBsfbCvjeGUrZ01NYNH0RH8XZ8zRaT3Lv+ZNjudP7x9h66Ea9h1v4Ppl2Zw/LwWtRtp4\n/iTvvhBiXCipaeOtzcVEhxtZeckUlCBcbz1c0hLC+MFtudy6YjIAr3x8lB+/vIvjla1+Ltn4JgFb\nCBH0bA4Xa945jMutcucV0wgL0fu7SGOeRqNwwfxUnvvmIs6dmURZnYVn1+7mN28epLapw9/FG5ek\nS1wIEfTe+KyI6sYOLspN7XNTj2++uAFg0BuFjCcRZgN3XTmdZXNTeO3T4+wqqGfvsQbOm5vC1edm\nEWE2+LuI44a0sIUQQe14RSuf7ConMSaUG87LOeVx2aHq9HrujT0pNYonblvAPdfOJDbSxPo9lTz6\nu638+7NC2jpkYtpokBa2ECJoOZwu/vT+EQDuvHwqBr3WzyUKbIqikDs1gbmT4vhsXxXvbCnhva2l\nfLyrnPPnTuDSs9OJCpM85CNFWthCiKD11uYSapo6uHBBKpNSo/o8RnaoOr2+djYDz2zyCxek8sK3\nF3PLxZMxm/R8tLOcR17ayl8+zKei3uKH0gY/aWELIYJSSU0bH24vIy7SxFf66ArvScauT9U9VND9\n575uZgx6LRcuSGXZnBS25FXz/rZSPttXxWf7qpiWEc1FuanMyYlDo5EZ+cNBArYQIug4XW7+9F4+\nblXlG5dNxWiQrvCRpNdpOG/uBJbOTmH/8QY+3lXOkdJmjpQ2Ex9lYtmcFM6ZmUx0uHSXnwkJ2EKI\noPP+1lIq6i0sm5PC9D5mhYuBPb4y1zt7frBDBRqNwrzJ8cybHE9FnYVPdpez9VAt//6siDc2FTEr\nO5Yls5KZOyluJIsetCRgCyGCSkWdhXe2lBAdbhzXG3sMh0jz0FvEqQlhfOOyaXx1+SR2HKnl8wPV\nHChs5EBhI2Ehes5fkMrsrBhyUiL41qqNQO+hie7Z6bI395ckYAshgobL7eZP7x/B5Va57ZIphJrk\nJ+5MnGmw7Bl0z583gYp6C5sPVLP1UA3vbi7m3c3F6LSKd6z86b/u5InbzgLoc7LbeCdXsxAiaHy0\no5ySmnYWz0hizkTpdvW3k4NuanwYN104iRvOz6GyuYuPtpaw7XCN9/HyOitvf1HM7qN1A054G4/8\nvqzr7+vyKa5uQ1XVPh/vuXBfCCFOp7rRypufFxNhNvD1iyb5uzjjXn8JaXRaDbnTErn7qum89MB5\naDSgAKoK//m8mPJaq38KPcb5vYX96kcFACREh7BwWiJnT0tgQnyY93HpFhFCDMStqrz8QT5Ol5tb\nL54sucIDiEGv5Q+PXABAp83J3mP17DhSx4HCRhQGP+FtPFDU0zVtR8mOQzV8tK2EvcfqsTvcAKTG\nmzl7eiI78+soq/UswM+ZEBGUH1x8fDj19e3+LobfSP3Hb/2Hs+6f7q7glY+PkjslnnuumzUs5xxp\n4+Gz7y9H+0D177Q50WqUoM1OFx8f7vNz/N7CXjgjiawEMza7i/2FDWw/XMvBokb+/VlRr+OcLrf3\nzzJ7UAjRraG1k399VojZpOOWiyf7uziihzOZZR5i9Ht4GnPGzDtiNGhZOC2RhdMS6ehysPtoPTsO\n13KopBmAsloLP/vHPpbNTqHF0iV72QohUFWVv64rwGZ3cesV04iUPNYiiI2ZgN1TqEnP0tkpLJ2d\nwoOrv8DudJEYE0peURN5RU0njlJ58k/b+d87z/ZrWYUQ/rP1UA15RU3MyIrhnJlJ/i6OOIn0gg6v\nMRmwe/rpd8/1/rmywcqq1/bSavFs5VZRZ+VHL+9k2ZwUFs9IxGQY89URQgyTVqudv39yDKNey+2X\nTJFeNxH0/L6syxcT4sz8/LtL0GpAo4G5E+Mor7Wwdl0BD/76C179+CjVjbIcQIjx4NWPj2LtcvKV\n87KJiwrxd3GEGHEB0SQ9eZJZVJgJgPtumE1zu43P91exYV8ln+yu4JPdFczIiuHC+anMzomVXWKE\nCEJ7jtazM7+OiamRXLAg1d/FEWJUBETA7m8tdnS4kauXZHH54gz2HK1n/Z5KDhU3cai4ibhIExfM\nT+W8uSky41CIINHR5WDtRwXotAp3XDYVjXSFi3FizEexvvZk7Wsig06r8c4yL6+zsH5PBVsP1fCP\nDcd5Z0sx582dwMW5abK9mxAB7vX1x2m12Ll+WTbJsWZ/F0eIUTNgwN6/fz+rVq1i7dq1FBYW8sQT\nT6AoCpmZmTzzzDOnTPS47rrrCAvzZCpLS0vj2WefHZmS9yMtIYzbL53KV87LYeNeT1f5h9vL+Hhn\nOWdPT+TShemkJoQNfCIhxJhyqLiJzw9Uk5YQxqVnp/u7OEKMqn4D9po1a3j77bcxmz13satXr+Y7\n3/kOy5Yt46GHHmLjxo0sX/5lBhubzdN1vXbt2mEr4FD2ZO0WFqLnynMyeWtzERrFk/50S14NW/Jq\nmJkVw6VnpzMtI1pmlwoRADq6HPzp/SNoNQp3Xj4NnTag5swKccb6veIzMjJYvXq1d2MOk8lES0sL\nqqpitVrR63vn683Pz6ezs5O77rqL22+/nf379w9LISPNxiFnzHlm7S5cbnCrEGLUct8Ns9FpFfKK\nm1j12j5+9PJOth+uxeV293qebDoixNjy90+O0dxu46pzM8lI8j2toxCBrt8W9oo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_model(LombScargleMultiband(Nterms_base=4, Nterms_band=1), lcid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The periodogram can also be computed for any model using the same interface as above.\n", "For more information and anlysis of this algorithm, see [our paper](http://jakevdp.github.io/multiband_LS)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.3.5" } }, "nbformat": 4, "nbformat_minor": 0 }