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@edy555
Last active May 5, 2024 09:26
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今度はリーマンゼータ関数の漸化式での計算をPythonで試してみた。前回のはこちら。http://nbviewer.jupyter.org/gist/edy555/9988efd898d11fba2540
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## リーマンゼータを漸化式で計算する(Python編)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"下記のツイートを見かけた。\n",
"<blockquote class=\"twitter-tweet\" data-lang=\"ja\"><p lang=\"ja\" dir=\"ltr\">リーマンのゼータ関数のプログラムを修正しました。<br>値が変になっていた原因は桁落ちです。4倍精度で回避しました。<br>ちゃんと収束するので4倍精度の方が計算が早くなりました。<a href=\"https://t.co/VV6pMKbe35\">https://t.co/VV6pMKbe35</a> <a href=\"https://t.co/UFdbfFSGwW\">pic.twitter.com/UFdbfFSGwW</a></p>&mdash; colo (@sig_colon) <a href=\"https://twitter.com/sig_colon/status/738726601458778113\">2016年6月3日</a></blockquote>\n",
"<script async src=\"//platform.twitter.com/widgets.js\" charset=\"utf-8\"></script>\n",
"リーマンゼータ関数の数値計算は、漸化式のほうが色々良いらしい。元記事ではFortranだったがPythonで試してみる。\n",
"\n",
"試してみた人 @edy555"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" 元ネタ\n",
" * http://slpr.sakura.ne.jp/qp/code-riemann-zeta/\n",
" * http://tsujimotter.hatenablog.com/entry/riemann-zeta-function\n",
" * http://nbviewer.jupyter.org/gist/edy555/9988efd898d11fba2540"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"シキノートさんにより示されていた式は以下の通り。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\\zeta(s) = \\sum^\\infty_{n=0} b_n$$\n",
"$$b_n = \\sum^\\infty_{k=0} a^n_k$$\n",
"$$a^n_k = \\frac{1}{1-2^{1-s}}\\frac{1}{2^{n+1}}\\binom{n}{k}\\frac{(-1)^k}{(k+1)^s}$$\n",
"\n",
"$a^n_k$を漸化式にすると下記のようになるそうだ。ふーん。\n",
"\n",
"$$a_0^0 = \\frac{1}{2}\\left(\\frac{1}{1-2^{1-s}}\\right)$$\n",
"$$a^n_k = \\frac{1}{2}\\left(\\frac{n}{n-k}\\right)a^{n-1}_k$$\n",
"$$a^n_n = -\\frac{1}{n}\\left(\\frac{n}{n+1}\\right)^s a^n_{n-1}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"n番目のループ毎に$a^n_k$を配列に保存しながら計算を進める。収束、発散、ループ回数上限のいずれかで終了。"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"LOWER_THRESHOLD=1.0e-6\n",
"UPPER_BOUND=1.0e+4\n",
"INFTY=400\n",
"def zeta_r(s):\n",
" if s == 1:\n",
" return np.NaN\n",
" a = [0.5/(1-2**(1-s))]\n",
" b = [a[0]]\n",
" for n in range(1,INFTY):\n",
" for k in range(n):\n",
" a[k] = 0.5*a[k]*n/(n-k)\n",
" a.append(-(float(n)/(n+1))**s * a[-1] / n)\n",
" b.append(sum(a))\n",
" if abs(b[-1]) < LOWER_THRESHOLD:\n",
" break\n",
" if abs(b[-1]) > UPPER_BOUND:\n",
" break \n",
" return sum(b)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"最初の零点付近で試す。"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(9.00430404728821e-05-0.0005682620300753954j)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"zeta_r(0.5+14.134j)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"それらしい値が出ている。"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"クリティカルライン上で計算してみる。"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 570 ms, sys: 4.99 ms, total: 575 ms\n",
"Wall time: 574 ms\n"
]
}
],
"source": [
"import numpy as np\n",
"x = np.linspace(0,50,1000)\n",
"%time y = np.vectorize(zeta_r)(0.5 + x*1j)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"なるほど、以前やってみた直接計算の場合より一桁速い。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"グラフにしてみる。"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python2.7/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n",
" warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n"
]
}
],
"source": [
"%matplotlib inline\n",
"%config InlineBackend.figure_format='png'\n",
"import pylab as pl"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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7duXikkuYn37a22t87WvMjz7qzbl372bu6HDvfH37yjnd5p57mG+80f3z5uLu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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f337090>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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NG53ztZ48SdfOn39a/jd6NOPTixali+TyZd7S3rvHFhfHfebLx1a8OF0sFSty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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f34bad0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pl.grid()\n",
"pl.plot(x, np.abs(y))\n",
"pl.figure()\n",
"pl.grid()\n",
"pl.plot(np.real(y), np.imag(y));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"それらしい結果が得られた。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"続いて面で計算してみる。"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 19 s, sys: 162 ms, total: 19.2 s\n",
"Wall time: 19.2 s\n"
]
}
],
"source": [
"re = np.linspace(-5, 5, 101)\n",
"im = np.linspace(-40, 40, 401)\n",
"IM,RE = np.meshgrid(im, re)\n",
"%time Z = np.vectorize(zeta_r)(RE + IM*1j)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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/yp9k3ZqhL0wSfpuCX2HCr5D2GwDKYBFJuiKGIX0WOjdZenOd2X8FF/4V/L8f\nQBJYAj6fgswc+B24fgv+qv/wJsg90hm5f3cWflSCNV/V+1UDHi9A+iXwXxT0T5mQEiQv+fzGn/c5\n9yfwlXWovkdXLoCIgN8qQPLvwvavTfC1hef5Pp/ktpzDpE9OVMlRJUkLiaBFkk2m2ZJT1GQWKQXz\n0VucnnmFn/qlr3Bk4RIvzEqO/Rv4Qw8qcu9e3UANFb9owckvgPxVWPviDN8oPM/LvMDZ/nGqMkdM\ndJkzbrMkrrNqXWHeus2EXSaRcehj0iTJJjPcYJFLHOSCf5hLzYO0LhZVbTDgxpLLxuosdSuDI+K0\nIkla+9/iSOEakbk+4iZQAtFg6NfMApNq1Sp3n+D6xByXOMh5jnCZA1xhlauNfbgXM/AOaruOsvT7\nDEZEgzG9J8ATeL0ktZ6Jm4uSSLaxRUdFmYjhXfKkskw7PTXztuvYSCeqJmN1UBqaduKG18OVI6+j\nD3vXBx2jry1+Le9oq57QPhZ7Ows0I+/lLhxNxRCWdMJhneHwzr3KegeEl090CA0iDPxIlK6WduIm\n/UhA+mGdX6qIno60abcSONUUsmwrkt8ItpvB6zbKgtWk7wKmwE1muJpaJZFpYdNRobimT2/ZZCV1\nm0hBIhZQx6wH6R0iqLpRBLkI7gGTC7l9vM0J3uCUkgy9U6xfWYAbUfDhdhHWDiyxnZpky5hmXcxw\n3Vpj2togZbcw6dMmTpkCt5njCqvckMvc9ufoyhg5UeWYdYaN+Wle+uVvsZDb5CezMP8V+AtPOYXv\n1EYnBPxSBCZ/GfxfE5x55gB/Hv88r8jT3PLnEUhyRpVJc5tpNkjSRiBpkaRKjqrM4WMwa6/zqc98\nj5f2fZtTyxVW/yn8H2XoyfceceQFfH4Ojvws9H/KRO43oCk5+Uafx16WNL4Or1Xgqq/KvGjAk0X4\nn9fvoR7dBY+U9FO/A599HeUVAuQS9B83KJ9OcXbpEG+Yj1Ejy8rxa5x+5lUOPnWb1X/h8YdnYNtR\nkuQobGA1Bp8/CqnfhFt/Y5o/LP4cf+b+DG+3TlFrZIjEe+TiVfKxMkmrhSF86l6GnW6BUrWIs5EB\nzyC1WGatuEQjnuJLz/97TiTfYXKyz3/xH+CHV+G8A005dBXGUXr5M1OQewH8LwtufXaKrxVe4M/4\nab7beJZb5/fDjoBcn+srZW5OLLJhzbLATSaokKK5qxO6yQJXevu5trEP9800nEc1tgiwFGW9sop8\nzEDGVfSdwvh1AAAgAElEQVR2Dwsnl2DpEzeYmG9hlT2MBggXZARkGvoTBs1CjHV7mqvs4zL7ucYK\n11nmRm+J9tUiXEZl47qKIv0SirSyDAk/nPXAAIlNu2/gdmLYSQcr4mEZvYEG7fkWfc/C7URxOzFk\nO6ayaeqFz7WsMRrRsleI02jwDLDbote6nW72emwuGC6KPgo9EtAH1M22t8e+4UlZYQdvOHonVLjR\nQJ9RjK4MFtb3XdQ9iljIYECEFPi2gWV5mEYQIisFnh/B61l0WnG8VgyqUUXuWqbYZGjtr6PiJiVq\neK2F+Qy0ckXWji2RiqiQ3CiuGkVMRJhNbJKa7mJWfEQDRA9kFPw0eAWLynSSG+YS5znM25zkdR7n\nLecUm6+vqOxuN4Jrm4LWRpGzJ2O0ZxLUIxm2mGaaTZJBGEWLJBUmWGORK94qNyvL1K9OQM2EvOT2\nkQWa6RR+weDzX3iZOWuLE3nJ/Dfhe9vK7xCom1hASsCRODy1D2I/Be4vmLz9xCH+OPol/tL9ImdK\nJ2muFcDqE59pUMyVmIiVSFsNfGnQ6qXYcSeoOjl6ToRsusaZ5AnWF2f45f/q3zGX3uJv/Uv46jm4\n4u6t9aeAqTj84gkw/5bFpZ+d4/uTT3OdZbLUePzJ1zn6uYvkf9DkM6/5vLAW/HEa+o+jPKX3gUdK\n+pd/YYnJZyrY9Q7SEDgTcW5Pz/Id+zTf4nne3PkEzVaayewmL019hZ//hT/msamz/Nr/7fHWd+H8\nFpT7QXtA9ZwH8nDscUj/Mqz/XJE/Kv4n/Lvuf8qrZ5+h/UoGSuAUob48ya3FJWITHQzLp7Nj492M\nwyWhKqUDzcUCP3rhNP5RgWn3MZ7yOZ68SHzS57lvw8nzUKpCp6ciCiYSkF8G62ngs7Dx6Qm+nf8U\nX+clvld9ltvfWoVXhZJGJk3qR6e4+FiS6kKWbbvIJKVg5AFtkpQocstdYOPWPO4bSXhdqLnPm8EF\nrwNd2IoscP6YSySuwvk8IjTMNDNz60xMVkk6Hcy+j28I3GiEup2kJIqsM8sNlrjKPm6wxE1/gfL6\ntCL5NdR9uI6yDNsuIFReHB1iFGMoZQ+M4yhez6DVjWDFXAyrr3RooO+Z9D0TrxsF11KE7zAMkQhr\n+Zr8R639MMI+04FRHra6w3aeJnsdoaNTKYeZOBr6PwwT/oQT2OhtNBdPKPHQXlE7I1/tQjj9T/ja\nw4SvFSNh4QNdz8TrWZgj99f3LLxuBOlYULfUCK2CIv4yivi3UHVnExUmg4RuVJUzgcqvVITSxDQ3\n5xskjXYQ/y/pC5NmPEVxvkSm0CLm9hC+pG8atOI2lUiOdea4zhLvcIgzHOOCc4TtMwvwA+ANVJ3q\noULImgK3l+baqQN05m3q0QybTJOghQCaQTtY6yyxvTan2sH54Hqyglsb+/je8xDPdbCLDp/93H9k\nJl5mYhq+8APYuQ6VFng+2BEo5iBzFMSnwf1Jg7NHD/Cn1s/wF52f4vVzT+F+MwFrAuIWzlKetQM5\n1hfmsPNdfM+gW7Hpr8XguoAyOIU89U9O4B6NECl6/MKv/AkzsRI/9Qdw5g24vAM7Ul2uDRRMODIF\np54F99ctXv/Mcf4o+2W+3vg827UpUsk6j+Vf4/nVb/Hs3CvMfXKD+I6D8CWdjM3W/AT8+gcRuod4\npKT//yV+moMHLzJBmT4mW0xzhuN8Vz7Da7eeYvvbc8gbJmtH9tF4NgNFgfVZjyeyZzm5oqaLlzeg\n40DEhNwk5E8BX4CNlwp8dfIFvtL/Aj+6cpr2n2Xg2yjCnQcOC/rLNu2ire5CDVUZ30FZuTVgUeD6\nCc4lT5I9UCNtNbGOexywrxGf65M9A9mbKF00itIzDwJPwNaJHK/kP8F3eYYftp5m47Ul5DcN+D7K\nupoHGuD2kqz3lmgvJCinSiRFC4FPWyapdieorE/RO2/D2YDw30RZahZKk42AnzPZzM6RWGkRtZQZ\n3sGmToZ8ZIdUpEEUFx+DDnHqpNWaq8FIQm+bzRm823G4jSKFDRRBtFsoU9FSPWY5NkilTIIh+Wtp\nu28huyY9OwKWj4gElqhvQN8A1wRXDOWcsIYf1vI158KdPWTvco7qL0YnWWnS1wfSKZW1da7ThGrL\nXe8zyHccKqAM7aNJPzKy6aFIAJM7yzvhImmyD98LrfEPUgWZSM/A80w800cYgcO8Z4FnQMdQ4a91\nhqS/gyL9MupRllEhapTUSdpF2EyqdNi3gSnwpuJsZmdIBjKPSR8fgxYJqiJLOt7EjjsYSFyiNElR\nYYINZrjOEhc5xOXefjZvzeGfM1X9fR3VzjxUDDNAVOBGk6yzTHfWphwrkBAtJAYtmaTULFK7WcR/\nIwavodrALVQW17bJRmqJH55+mlxyh8SEwzOf/gFTuSrWMkxegsnt4PGlUO3uODifMrm0usLLxot8\n2/80526cwP16Ar4qlJGTRYX7lQTeUpJmNqnKXEL5uN4ZlqFdzvCj2Gmyh2pkJ2t84We/wXSywqf+\nEg6/BdVt6PXBjkNhFhLPgPwSnPnEIf4o9WX+ePvnufjdo/TPRxDLfbafm6Y8X2DTnuH4yhmmVrYw\n8ClT4CIHgH9xh4p0b3ikpP8tPsNNFsizg4/BJlOc4xhvbT1O5RvTyH9vwgXon4hwyTrK11/4HBOp\nMtFPdjmWvUzyICSvoCp3FOWcPAXbT+T5bvEp/ko8z6vOUzS/l4NvAT+QSujbCAinjrJqLJS2eR1l\nRVyR4DhwMwFpQXMhx7nJExTzJRJGm/6qyf70DdL7OqqBNIPzF8DbB1sLBd5MHOdVnuIN+RhrG8t4\nr0VUIpMfSfB6UI4qrrDBj0ap9qZpz6Sxkyr6uduN45ZT+NctuBI4Uy8DV/vgVkFYajw9YcCcwJ1J\nsJ5bwC44WKKHR4QWCQpUSNIiEkx56WLTDIbMW0yzwTS3mWPTnaK1lUVuGIrsS8HW7qFMwnV1o6SA\n1hRULaXhphmmWdbKhtb6eyZEDaQR8rz6qFz5WrPWM2/D8s5oqOadZrCF09qYwf/uqJ9oxtXDh3AE\nTizYTIgJiAb7uoEFjM0wlCY8ayycQU13HOHQzVA5xcjuo9AjFX3d4bkKLkNLX1+LJ9R9NEDqoYIv\nhp1pG1W/9bJZdYYpl2uoQHdZRjGcp2KF24tQiqjnvglyw6BVzLIVnyIRaROhh4+BE4SBpoJILYAe\nUVokKVNgk2mus8RVucJ6bRH3agKuiqD++lCtq/M5OTVhJQ9kBL2IzbY3T62QIRbrAIJOK4m7kUBe\nCjqNt1GjhZILVgQsgTcfYW1phTdWHycnati5Lic/8TZTUxWsqwz6NZLAPDT221wqLvOKcZpXOM3Z\n6gmar+Xg+wK+C7QdiNvQCkKI66h67qE6yyvAGWBdKqNHCpqzeV5deprZ5DrpmSbPfeH7TE5Wyb8J\n+bXgGWaA/SCfgbOHD/CXsZf4WuvzXPrBEfq/H4EzII+YbLlzvPrFT9KZstlgmmkU6e+Q5zL7+VCT\n/mv+E+wYObLU8bAoU+By8wDl12bgOwZ8DdVNbk3iLUW4cOwI30k+RzraxD8hODh3BfuKr0jXDBbb\nXsrxeuQxfiCe5nUeZ+PMCrwm4BywcxXowtpR1cZBNQATRfq3UJJGfQu4DrUDcG4Cecbk9qE5zqSO\nk43UiJg9OtM2S5M3mKzVsJoSGYVmOsJ6fJbLYpW3xEnOc4SrrQM0L+bhgoALgHMTqMLWMlzLqNFB\nWiBNi24nTTeZUgTREVAKrI411Os64LaAiyAt2DkGtxPBPgb16Szr6XnisQ4yyLnSIEOKJtGA9LVF\nViU3cJBtySmqrSLetq3OWUVZhzXAdVBj6VsEc/Cgn4OmpYilhWoUieDn8JynHopEIyETVxvPYelC\nR6qEJ2aFV5QKSzvh4JxAcRoY27swKqDrMoR1+5BGZQJZoSzddHDOpoCKgJqAvtbsdS81GukTtu6N\n0DlC5QsXyWJ3mXU/EpZ4Igy1yy67Rwo91H01QucZpGVmSPptVPuoo55VG1XX+y7K/N8K/mCBW4Ra\nRD37KsrK3bbZKRSJ5xws4Q3qVYvUHevVOjPcYoHb7jyN21m4Yag6vA7sdFCR7R64x+F2WgUG5IGE\nwPcjdBp5OrYcPoN1lOFzA+Vj2q6Ddx16ObiwCOcFjaN5rk7vZzq1SVK06CcM9h+8zOzCBql6D9ED\nLyXYzma5YSxxRhzndR7nTO846zfmkWdNZfDVKqp8vWVYm1Z12mNI+sHPrAH989CNwdlVeF2wcXyF\n104/QcEoE5vs8vhnX2dqtYp5K3imKXBWDS5NrPJt89N8h+d4Z+sw3rei8A1gaxtuTSInTEpTs7z9\nnKSdilOggkmfOhmu9le4XzxS0r91ZR/txQSZSJ0+JjvdCeoXppSUcQFoVsD/BtRfggtF6mcmOTt9\nnKn4FjGzS2MyxezkOql+E98QlMQkV1jlTU7xJie52DqEvGgoC77WAC4CPfCmYKOgiEoHcdRRBm2j\ng2LRcyBtuDUBN8C/HGdtdYmL1raqVMKkauaYnNgmPuHgYVEnwyZTXGWVdzjEJf8AW9vTysq5DZQl\nymRfBy8P5bQKo5tEVa6eUJ4mA9XYdxhqryVUhaOEqv0xYAUqcUXUG8DtKDuFArdnHSzDC6KAUqRp\n7GqcLZKBxFOgJAuUuwXaW0nYVjolO8H96EgUITRRxJ9DMUdP/eaEJJomg/jlXbVKp7fRhBUm/bAl\nq71toykJ3gthC1pPwN2l+ejInXCkjibnoLBmcGkLqPi5uWC328GtFkFH2A9GA4OIIB01MxrRE4rN\n16Of98i9NoC28sOhqk7okgRDH3U4N5xO3xAmfU38zeC9/r6rd24zHAYU1A5OGupC1bUyUBI4W0nK\n8QJ2rIMpvCCXkpqTEa5XDdJUyVJiktv+HNVSAW5HQvVXBue8iXroU1BJq/NsoojVQBk8tlDX2WLo\nfN4MjuHVUGb/HJQXYF3ANcHW4RkuJQ6QNhqYoo8jbLaTk2SSdSw8HOJsM8kai1zgMO9wiJvOIv5l\nWz3nW6DY/Ly62fUcbMbUvW4H93s7KEe/jGL/KNQm4VoaedHg4vGDTCc3SIkmXtRg9eAVigdKGL6k\naaZYZ5ZzHOVHPME55xj1M5OK6+olxXXNz8E7E3DWoFScp3csQi4WkH4vy86N+09ldl+kL4TIAv8n\ncAJVPX8TpXbdUz79/sUYJXeOam4C6Qv628lhL7oF9OvAOvRqsFGEa3CrtsiF+GGStOgQY51ZEqbS\n/8oUuMES5zjKlf5+apem1MPcQgn/7ARnboJTUA1ZE0YT9bnnop5wFWioRrQF3ITqzQLXjy6ToT4I\n39piChsHiaBBhi2mWGORq+xjoztLdy2t/l8BpGSwcgUtcPqwY6mPqaBoOm66ExShPCwKXRi2Zk/t\n3CwMddsS9DaTVHITxJLdYEJUjCYpIoEs4QVT8+tkVF57v0CjklNykyb7FsPQyUHgfJuh2dODfkD6\nujia/BsMCc5nmNdC1zRNZJr0w0si6k2ObHdKqxyefLsrigd2E79gGBITnlkrFE9nUE7FfcBTEvMx\nFa3TfyMCphgG79SBnmbxcHSQucf5QmUKl3OvoKHR69WbNkgEw5wEo/dQf6dHCXrk1EQ9Cye0tYPf\n+/rgusdtM5ip2Avt2wAqIMtRGukc5ekOmOARoUOcOA5WULAeEdok2CFPiSKVdoHeRlKRpB45NEFV\nrsBwwBnKJ7quxxh6PfvBf7TBs4NqM7SCLzLgSzUa24TuzTTrs3Pk7R2iuLhE2WGCdNBenaB8t5jn\nMvu54S9RXSuoPmgzuDc0gxO1FRdUY6raa5fOYIX5RrCvUNyylYYbUL80zeUT+8madSSCKnkKooww\nfdok2WSKixzigjzMreqiYsgNoFcFboPXgM0JxYGXBTVjmuZkCmFIvKoN1+/fTr/fI/wz4M+klL8o\nhLBQqtlvc6/59G8C0sLLptQDrgTflVA3VkaBwyDj6v5uQvtGhmtTK6SNBh4mJYokadPHpEZWhTiy\nyu36IvK2oSpdE+XgIsfAhPIkNMSwMeookkFkxjQQUw2kIaAE8maMW/PzpLMNDHw62FSYwEbJKc1A\n07zFAreYo1yeUpUp4HhkMMZjVp2jx7CzyTBM+hMmfU34g9gvEewcsIFus9ppty1oZXOUFnsQBZcI\nKVoB6ROkQ4ipNVf9PDuNPF7ZHp5HSwBdoK/ZVgdh6/QDvrp/uj8YzBxFNdY2wyAZLZ+Htey9NOvw\n57C802e3vq+xV0ocvd/AB6AZMay7h34zUTU2j7LuD0L8s21OP/EtJIJX8s/TqSXVfXGD4zaAfjgc\nh93H3KuM4XLuRfzhlcH0Fk78aTCUsmDY34SPo6Uw/Sz0MwxHR2kZzdO9hp5MlgpO5oPvQ9dU9UB3\nHFXwyjY7iTxGRgWN94gMJuCB+twkSZ0spW6R1mZWjUC1ITHIpCYYaiUBOsPzEAuuJUz64U6jp9vn\nrCq37EPTUPtsQrk0xc2FKjYdfAy1zgAtRBDcsEOedWa5zjK3GvPImzHFNw1UB0IU1faDCqxXGNPP\npUHQacrgOiwVnBAMhv3bBreXFsnla8E8gwRZ1PsWCbaZ4ir7uC6Xad/IDJMY+XHgiIqrbqtjcVMV\np99IquLUCEYj94cPTPpCiAzwvJTyNwCklB5QE0Lcez79DVQdaKDuYQ1FkPomkwNWQQRp+erAusnG\nzgyZgupJ62Sxcehj0SDFBjOsuQs0N7PKwtZTzWUUJR521WVrq0gTlENQoQyGxJxS5eoExymBs55j\nPT5LNOrSI0KdDDG6SAQOcSpMKMeoM01vM6Eqo166TupZMEH+TB107QTH16RvoBq7JmK9XiygWkWe\nocOQoSHeUMeRlSiNeB5RkPRiKgdLmPS7xGj6KWrtLJ1yBqrm8Fw6z8hAXjGCcxbYpVuPGovd0BaW\neHSfEZa6w6thhUnfC30/at3Lkc/hPDZhYjX3+O9eukrgRCcd3M4p4IjkyVPf43999X9CCsH/+Pj/\nzncuvAi3gkgYPSpxCNI53wW6XwgTv+4jwmS913WGF1UJ+y/CI6jwqo7hRKKa6DX562cyOpIaSF4p\nho5sY/hsdMZBTcZpk04iQ9XqIxMC14juIn2l6SepdzM0ynlkJTqsU7oDAlRlmAgKEjjW9D1toJ6J\n3s1naNDoNiANVE89G7yGjKcy9DYTbBamicc7g/kucRwEki4xquTYZJp1dxZnPTdMR9HR9yXNoO1j\nKE5wxHCg2AnKRQTVJmLgBwv/1FBG12aOm8kFolGXLjFSNDHx6BCnRJEbLLGxMwsbpro2CDhuFcgN\nZa1ycIkdhjz5ALLL3Y+lvw8oCSH+L+Ax1JKJ/x3vJ5/+Dor/tGZZDzYdrSDiwDIYUfU5uLHuRoaN\n5Aym7Q0eqo+gSZotOUWlPk1/MwplMcyUZsRUYh26qPEa6uZqB5m25DBRDz6CitsSAyVFxTubVCaK\n2FMd+pi0SBALJq44JKiSZdufpLFdUOfX12MAwkDNgkkwqFQeQ4eoruia/LV0oskGgv9OBDsHmeN8\nhkP6wOL3EjZ1M0c/a9CNxYgIlYe9R4ROP0a7ncTZyUDNGlr4LYZ+yoFlbQb3a4IhUwYsrgkqTPxt\ndluhmkRGQxZHwxK1pTqah2aUEHWReqFXTayR0H538wno/jKJegwZYArEQcmzW98m/Q9fQwDP/t63\n+c7BF+AtEfh7GE5M0wS6F0Lugl0Laumyh19Hyziab0jfJ4G6v3rkFB75hCdzha37cHRUj1AHowto\no+q4j6pX5vB4+nmGnb81i3ZEzVbvJSLETJXfv49JT0ZodxO0amm8HXto4Y8mKyPJkPQT6ivt0Nft\nQDC0+J1QGTwIJWwO/m8M228dqAiapQLb822E4eMEMpQi/Sg1ckp+2pmEbVO16aY+th5FSwbhaD7D\nZ75rFBlHteWY4haCMpbB24pSLk5hFzr0RIQUDQwkDnGq5NjozOCup1WnGNigGAHXiRDX1dXxBh11\nm6FCfR+4H9K3gE8Af1tK+aoQ4p+gLPrRanxnd1wD9XA1yWgtUTfomIB2FJJimEalAZQEO/ki1oxH\n17AHMehNUpSdAu3NlCJcbWEDWFEVdYKLemBiOGTbFe6nRd44gxUg9aggIP5eKcl2YhI/JWgTH8g7\nDgkapCnXCvhaI9dWjh6V9vOoymqDEYq6cFDXqC04/V2P3VYdKYZj//gwp5gm3BbK4ogLPCtBw1ep\nmK2ohxASKYVacLsZV5EauqPVhB+OnhmQfCb4Ihrcl5CsMSrThN+HnYzhQBpN5qMOXU1yuoHpfe8E\nbU1rvTusoWti7I/srwk/Hmw6l1ARxJJLfOMy3zr+XyJ9n2T5EmKxhyzEhvmGtMNZGyoDyzlA2Gkb\n3vRvdxsgeKhbrMlZE3+4c9EjHt2R6v+FiTocAjsaCruroJr0eyhDJ3DAhJO+uQyNiQTISIS2SNH3\nTGLx7qBOea5Fp5XAr9lQMYbat+54ICCzeHDDewwcWXp0puu8lrO0MRMe6RqCXYSrQ4R1/a9AvxSl\nnCog8jLwPbQH8k6TFOVmEbccjMK1UTXoRHMM510Eo1o94hrUJ12GYNRuBZFcesRRErS30mwmZugl\nIqRoYuDjEqXq59ipFKFsDBWNCIrj3KhyYOssIXqUow0bPfK6T9wP6d8E1qSUrwaf/x8U6W/eaz59\nvv+PhvHdyy/C5ItDayaYDo4thoa3Jt+6oF+2KUcLdDNRYpZLXxq02ynapQxUrGGl0/qnKVAtXFs4\nAd6VXkULvRKIDx2RWl+sgyybtO0cSEE3YRMxeiDB9aM0WhncUlqF+YUrlDaYXT1rU+y29sIRLAaq\ngeoGs6ux6rzQAePpcMiwtd9G+SFsgU+MtmsiIn0My8f3TGQ3Ak1TlVHrrbqBhlewEJqpE6GChSx9\nDU1Q4ZwxYR1fV2wdbRKO0glPxtLXORqnP2o26GL12N2ZhPfTnbkI/UdLLPoSEqEtB9F0m+ntNrnf\n+z0AzP/6F4lm2nRzsWFIaoLdK3rpuiFD54DhyMMKbbosI/O2dpU97JfQ9+hdTmqGUTxhaSfcgY7O\ncH6X3GUFF6QPklDfidCJdJ0Mh4BaygzvehauY2NaffqeoSaGOSbUjaGko618/Rwt3SPrmNjk8NrD\no5Rwp607MQ0ThvMhgkvQ++rRQk3gltJUDEkvFSEqVBh0z4/QaKdxtrNQNhVHNBm2TxvoJkI3fMS4\n2eVXCgxHoopbdP3W83/KFo14jv6kQSuewBQ+XS9Ks56hX7aHBoS2pdKoe6/pIXw9119Wmw5rvk98\nYNIPSH1NCHFISvkO8BOoKQtngN/gXvLpH/pHithjqPvnMKzk2r/kMuRqHUHYACoGvUiKejeCZbv4\nfROvHUWWo8PsgR2GVnIEEKZyCmvs1ZAGGjbDYaYm4S5D3Txu0TYz9FyLaNzF7xt43Qi9RgJZCbQ6\nLQfoIXkcpQ9qQ90KHVs3WDHynbbitJXa0z4HwDB2W8+6jM3gntUA34S4iYxK5X/0URN4RqM7wpNO\n9fkMggehOxo9tLaCBsy7CT9MOu8hew8IKTwTVVvOehSm32uE9XA9Qgtb1try09caDsvXYZ2639db\nXL1akR5yMcvTv67a33+Yz2JFeso4jQ/3w2Z3BI3BkFRHo3XCo49wBzV6LeFrDVv44ePp+7DX2Dk8\nc3c0Imo0BNYS4IXkQfzgfXRYTt3hhIlfh+YKAb6FjJoqPkIynBSmCV9Hm+lnDKE2GDJcIiPn0+cM\n+zX097oziKLCm/WITY8UQqMSmTDpWGn6nokV7WGYPq4TDdqnNSR8XUbd1gX/f3tXF2rbdZW/cfa9\n5+QmwbZJtJrG5oeCSR6kQu2D8efifxWqjy2tUB98Ean0ofYHpOmLpBQpvvggVqm1WqsgpCAaNB5Q\nobVo2oYmxohprReStrnB5DbE8zd9WPs7+9vfHnOutfY+957Esz7Y7L3XXmvNscYc8xtjjjHX2t1S\nbcrnCP1wYXmlLtNR88UZ5cIOXozvwN7112FrdoSDl87j8IWdbiZ0BQsCP4/F6j2JCY+dyGsuAq++\nuKgbPPrhVblGYNPVO+8G8KmIOI/uPrVfRtcFw56nz1we66c6BT2HbnAxo7Atx7DwuT3D4d4FHG7v\ndBX0F+erBUj6nBbTi2tuPIuejouAsTACaojGyIjnQqDMzmNv70bsnZ+HAHsz4IWtbp0zO1WvZweL\nyITGy2BCc4fUBdMs3LaD7k5MlY85Yx2kjBAYUR5gcSMPp+66zJIRPgcoo+QZBWe+V7yg3hClxUcl\nf3+iga9aIRE5+WsEW1uqCSyI/EjeITrV9ki4TO/w0RE7OJ5t7u1t46nvvAPn3nsrCgJfveV27D+3\nvbAfPeZA2shuINPVOlrQ9WtQ6BJVBivqEEmODr2hS/XvMyaVDVvojJGsPTd2yqqriOjE+dRPHnI+\nllMzXOnClKYGEQy8rkP3mAg65h05H9sjkfK8dBozLFKg7EsfoyTd/+lueNzbvxF72/MT7G8BL9gM\nV0mfY/R/Y3XmRtAJsx94TZRhH4sU6w5Qyg72r98GZkfA3lZ3ly+zEJzBkON4jXo9nClx1lOrI43A\nRqRfSvkSgB9MfvrJQSdgzhBYRGZ6v8sOjrMsS3d6cupIj789W1S8fZ05o2wSLrDcoZpvPZIXj1Gj\nosNhbm0rgINzC9kYaajh+/XwhjAaNsFBRmekK1koK+saJASS/pacg3ldplioM1lteey8vFCsaYDj\n5YXRrU44nkPPpydK+tQpBy3XWu/LPgdYtTYSgkalvnLHl2oCy9Gv9tlMjnOC1Hz+jrx4aQD2r9yA\nr9x8Dx686y0AAo/hHuxfuWFBCPrEhqWUW9KWL9H0VUbZLEjTWepE/dqd+NV5qh69TwEjfV1WtdX1\ntRad2ae0ewYSlJXPWyq2D9OSLOCynkXda38x8NHx7+2rDdAZbCMnfeb2r6BLuxzOOn4AFjl3LlzQ\ndI/nIvcAABnhSURBVCbHJ+WjHLrqSmeL5JALOH6Cx1Jd4go6ZxDoZkFbs0WwdQWLrAav6YKcU69H\n+5D1mQ1xqnfkLhWpOAg0lcEIQQbmsTd/EcuPTNepFYuSTBVohKd5Us/5kkh5jKavSU4kzPmjH45z\ncsDy3ZDsVL0JlB6dA8/vXtVBXuSlUaoWezVnrFE2ZdSaAdf/601RGuVr/hdYDNItAEdkqdlCV245\nStaannDHAPuuOeeCVcKvLQPwYimn/uq0FEr62T8cHgHl+fN4CnfiH/CjAICncCfK8+cWMx99lhrz\nrrVrA5Yft+CyZtACthK/prhYy1DQZpTwD+0cLlegmzFq/sttUlNuJHXufiT7MmDRO4F1GS7HE22Y\n9qF1D44xXRHGdo7TUliMNU5OdLZMeSkHidizBAzKajMR5QjYu44p5ZVzctweOg4i6etKM+cHvS4N\nODXlxfbYtxvidEmfA54kot85pQaWyVmjCpIYDY+Rtj61kWCnFtQ7UaMvNUhGMzoAeOcsnQ6wyKnS\n8HVZnxoIZBvb1BU6jPR95cp52eY1VU3xUMaX5JwaPamcHmUraTKSOsScILBMnm49ShIs5Oo1ZVG4\nRqn+UgNvkSXk+ulQleyo53P28rrK88ClF16HuLET7tKVW7uZo+aTeRyvkdehA1RnQVmKwOVWu6Pz\nVhvly2cT/K6roTTFk9mQ2uF+LPcJZ4461jSvTtKinP54Dd4EpkEEo3zaDeuf7BsdD7wW9pXWOCDb\nCbdDlZH8wEUEwCLY4ao+lZH9qwsOCO2jQ/msS3IpH/uAtTWmaskVDLZ0MYDO5PmdNQLaGfvSZ35r\n4HRJH1iexqpRs8M8GtBiD1fGsIP0JiFdSkcCO4/lNhRuUOxQz8UykpAIccmo6JDc6WgRkUZDQwMW\nA0wJwPWxL/vr+bQuQPLhM9hJDpymUn/Ukc5INJpUktzG4o5QvQZ+95U2Olh1CsvBpCtein1uQQmQ\n36lDTR9RFidevabzso0zoReAb3/zZnw9OoV++xuv7kifS271+nmeAyxsVe1H2+O7R/xZisehOmL/\naS2D15pF+Tpj0ghSA3yOO/2LXx0LmtvXVVkkJY30eTPYS3JerbPQWWrwwt/0eiG/e6RPguZ3tX8N\nejTSZ+DltSwPCpX4a32jsqrT8ZV45CGu0OG1aK1D+5LcdIjVICGrzWyA0yV9nUZ53hFYKERJjQbI\ndeAaITvpa4FG0yAug0Nzd9qZWtjiTRXAYh0yO1WfFsn2ONA0iuN2J3olQjo1TcFCvms0DWmXMlK3\nPJYO1uX0yJp61zQb281mLU727Cu9Pi3Ywa7xwL63+kWLvJof1mWaXsT1nDrfOSvYB3AlcPT0OVzZ\nu6k77vK88Ka1lbBzkMCySFyzYiHH6CsjF9WBRpZai2Jf8foPsar7zJmy3zTXzu20dyUdTRsymOC1\nMtWkqU9dOeSkqvpS4tZ+ICe4blT3MzlWZ8vsR0b0tAldTOB3KGvNg/K1iuYqk/KKppg49phSVdKn\nnti21uzUKWudjsd6YLwmTj+nDyznrgklGZ0uU3EktCN55/bWtJbtKGkoNHrkAPG2lfR14DDFpFNH\nvR6P7JUIuM1z2hpRUz5glbj0eCX+LSxfJ3/3VR66YgZYnkl4mkWdjbavBkrS0cGsg9BJ+0jOcZRs\nr0FTW1nECCwTjtYqPGV4Bd1fWR7MT8THUvi6fDpcTe3xulUutqvE34Jft6/gofOl7ajOCpb1rr+p\n3KoLXjtQj1p5Tk3b0e5J2ECeWvJ0obatqTclOwY5tH21R92ms6cs6NmTY3x8KunrTETTO5zJOHS2\nprM+go6a2QhmJ9hv5A5t28eRw2dtG+L0SV+LVS4NFZFFwsyTqSEo4XouUPOEwPIgcjgxKOkrWfI+\nAA4gXzbHa9MIT/fNpvjuybfspekdPZ9G0ZxCU0eUnednxKMDVQ1LCV3bYDskT91Pc55KPpr/VOKn\nLEryOshKZbuDBKGzPiUGIE+zqLPVFSrHt+RjOf+qBW7tC03rsA/Ypjpofc+QpTN0O+zc+rvWRDza\n5/56zdqnSr7e72xT0yZK9JqOVMfgq064vy+8AFbtW+FjgddBO3I7pL3Q/vdkX2C5fuWzW9WR1LZT\naEpGHRb1oNG+2qKOT+9n5xlFqyi/Bl4eOX0qxSNjnxoDC+PSTmIhjsR/iOWpEKMJXSrJqMINi0Z0\nTt61bY32NWJ1D+9TR83jZgaeEYIe49Gspns8wqWBkPSVmDxNdSD7qqwa+bicmvf0/GORd3XozLln\nSx01klVn7ed0sE+VCDzVoukY9iWvDSIjazV8VhKwuN/Bo9aZnZNk6P0NrDrG2ojza9SgQMk7c4Ca\nP1c5M9vWfD6wXFDVSF9nQSQpkjltVfdTO9L0W63treS3Wp1DU3cKPyaLshnpB1ZJXx2jj3nK6PrW\nTIB+1vFF56sFXK19eVCqXEcn6TPdLCuxJk6f9AkSvxOJfncCoVLpMGorPwh2aJYz1PbYCU54kPNr\nFO3LqjR6VjDaraWVaqAx6NTTC4UEjZ5TSiVFlVGX06n8Ko/OLHS7tp2B/aM5aZKiOzclSnWgfQbu\nhE8bqMmk+VfXtdaJtPCmz63RwZ/NHLXI7vDApW/U6ezVo0QnPh0TmsOvrfJQ+4fIryuZfGaN+TG8\nT4RkqjUmjjkdg66zrG2dudYQ9g6skq3K6zNcdQo6G8l0pAsOPOWsbfN6lEeydoDlcc8+YpCl6SXl\nwC0s9+cJYiPSj4gPAHgnOvEeRXdH7g0Y+Ccqx9C8Wx8ypTHSV6PLohxVvrZ9fEFYjvRr6RfvVO7j\n7avhu8Fq20N6gQPfV+94+yofB5nngZUofEai7TFKmdnvnNpq3trhqRZNX+jg4DaN9vU3PZ/KxuvR\nmkE2kwCW+9IdpUaHLFIq6Wc3rqlu9Jy1tnmMEqo7as8Lq2wE7dz1p+SQzZSA5Wjagxl15FkwpLND\nku0Rlp2upuk0XajpEyC39VbAQ6h+fabsqRXatqfXNODJZvnal4SPDU1/0el4IEMdkEsOZLvqp5W2\ndJxQlA9sQPoRcTuAXwFwdyllLyL+DMDbAdyLoX+i0kf0td91Cq+RvqYKtJilUVbtM79rOsBXWOig\n4iCA/a7tZ8ayZdta8BwmsHByrVyopqGAZdKmjDR8Hawql+Z+mSP19Ab1VIMSkV6TDvIj20cLyrUI\nxwlXnSgdO/XkfaqpCci+mrKjLLWipEbu1BWdjrcN2U+vvWbbTpYqD6f+PjNSh9mKClkD4zHqgOgM\nsn5Vp0y7pyxOuJ42IdRWqT/qiTL4LMPhS2Iz+9cCuNoJsCB9rXm4I9canM6yIPt5HUs/O//oSiB1\njjXCnzV+4+8bYpNIn9nPGyLiCN1tF5fQkfyPzff5BFp/ojIWVJp2tA4AT+1kUbxHH0522ql6rJ6P\nkaH/zn20030Ae/65Bp3i6cBXg2sVvzSqUNn5WcnMSdbPr/lIlaEFTe0AywOkJPupjMW+K1wXGvHr\n9Wlkq4SbkYrP3DLSz8hUz6mE6hGmtt/n9Ek6xb4zteM60dxvFmxk8NmZBxAqp6fcvO4G2U/tidu8\nXc7MajWtPuIHVp0usDzWOGYOsCqjrlbjcbA2dYx6qlH140Ghnk8Jf4aFbfF8GnBdY6xN+qWU5yLi\nt9H9C+2LAB4qpfwtH6s836f9JyqjGsSiMz1vR2hE5isX+BnJcbDt2qG+r0bGmjudJb8BdeI6Qj/x\nEzQc/e7bCDV6GqjLqIaXOUjuq9fi7bmOaPya1nHHzPNRNiUQn23ocYpajlVtI6sJaeouy4tnDlIj\n1yH6yWR2B9B3LX58FvG7E/bjdDaqDqnluPv04zajhKYEqm1ntp85R6Cf6PV4d54qJ0RWztxURifd\nTLbaTFPbnck2mDxM11GGLFWpOj3hnH0f+uK1KiLiLgDvQZe7vxVdxP8OrF7CyV9SlhPzPLpPyYBF\n1FojgqFRoRZLVRY1plptQd2st5/1hjosfVFOvzmEMmp0piSmAzMruKls6lz8eyaTtk+4c+S2GuGr\nU2pBHXRLJpc9Sy9RJ1rg84Kkk2x2zqwtYJWo+qboHrh4275QQVObhNt/Taaa7A61GSV1l1Ftj9D8\ndzbGWo7RgwuVLSviZn12aL/VxiZMJrWtmX3n2POAknJQV277h1jlrmuMTdI7bwLwT6WUywAQEX8J\n4Icw5k9Unrp/oeBbLgI3X6y3pmkOLch6egdY7Ux20IEc79M77qedq1CPzPdD+879+ry3Tkk92tFr\nUuOjsdQifIfrQ+sgrSiR7VJO6s31kRX8HNqGr9zQtjVC68tLq4x8cX9dMeSRbEteDlCuCHIHVHOM\nlENzxxqF+8qOjCBqUFsLkcmP9VpIn7OkjNSRb2/J6LNXj1TpzPv6T2cILZuuRfR96UW3qcPkc7av\nyxfJ/lqX4PdsRRh1oAsqdLvK0ucALu8C39odPjZ6sAnpPwHgNyPiOnS3IfwEgC+gu73lXRjyJyp3\n3b9Q3lAi85w8la3RUUs5ShKZ8WinZsshlQR9ZYbKkOVWSSpsJ5NTB4NvdzkzQyO580WZPE+sU0xv\nRyO2LA3l0WGGYi/NTdf2V0fsDlbBPqRc2qfaL/zuszhtU6+Vyy6zKFptS89Nveo6/cyuNMLW7woS\noOtdC58ZPMJu2T7P6bUV1RFnji0HzfOpTameshk3j9H0Zg1DHUEW7Wstif2h6RSfoeu5dRluH/ps\nn32nDtb7aUhbN10EXnWx+3wI4GsfHihgjk1y+l+KiD8C8C9zUR4B8Hvo/vhr2J+ojG50/q55Sd2m\npJsNEBoSCcNJz6vywCqx6YBR55OlU2oy0Ah10ChqxO9yumxuRGyD7Xikr1PfGrnWctE+1c2g59U+\ny/bLIrBsUAKLyJrwAZXJH8ivx2sgWvxTHWX94f2o5KIyZO1m5K8OzLfX9Kz2NoTwaftue5ntE2rr\nPhNQ23enkPWHEnnNibVmszoLremD/cD9XD7K5LaldqV95o6uz/bVprJr9D67xthonX4p5aMAPmqb\nL2Pon6isA0YIPrjc6DIi0ZUDPI8aplfm9bhMDsLTDPremm5nRqW/ZdGAR5G1ae6h7ZM5B51e1qKy\njLB8e00/en268sRXVBzacTW4noFlwvXjVU4n/wyerstsyM8Na9sjaE+h1M6RQaPhjPhrAUbNno7s\n3eXM5KEOqENPE+p+tQKptqErr1xWnaHWjm+ldTRdWmyb2nxLP8BC52rDKp/K7/LoLINt93HVNcbp\n3pHbIg2Hpgh0m8JTFm7UHDgalbmR1Yzf2wn5rEbCjqzdEQkskxfb84GSERy3Z++eQnHDg+yX1SJq\ncvJ8WRqspSPK4/v05Z3HRD6eVqNcDrezbB/qTPuzVXRT8tSormY7WXqpD5l9t/YdUk/ymaZiiHwk\nLL+rvRZwqTw+O8jaq7Xv9ZGWnH5jIh1cK7fvMgyxfc3rE1nAV0sZ+cyjBbW3DXECp9gAUfnscALN\nbqFukSzP7y+PnDz3W5tiuqdmDlO/D5FFUesJl5nbhgxQjeR9pU6riBRYvos1qyf4FLeV4gH6+0f3\nGRIFaXqkpQtf1YNkXw48XW1xYNuyYp+ft5WS2Bqwn8sDjNNbDW7vtXQTf6uFgpnt1OyqJYvqIrNv\nh+urj/RVDubw3QnViLa2KgxY1WGf3ETGVa6nviAx+7wmXj7P3hkCj6RcURycrXw4sFyY7CsmOXT1\nkBeUfYaRFUu9KKrHA/1k15KNUKNmpOIR2ZBCkqYAapZSI1KXJ7AaHervQ0g+y+/zs+f5eUwf0eoM\nSWUEliPDVkSmq3eyPG5GWq3fHd6HKvuQWVs2O8yIX7dlben7JnY1hriGOHRtH1h93ErI91pOX2XT\nsVxzgq0+037h+TJSP6UUz8uP9IdML/uiSgfJKyOGbF83tGyAaJ46y7/3daYeo9v6jtXoIyNQXfWh\nzkkHpxt9X3uZXlsEkcmj39XJud6GEAZ/d0cwxDF5P3p/ad6Z22tFN+1DTVm05s8eOdbghFXTm2JI\nP2b1sCHynIRd0XZ1VUtf0NFyTC1ZNc3pAZXL5fUNbWNIMNKSaR2+UjnGpDsH4nTTOxlqEmmHZR5a\n85lDlJndDKVG1ldvcIL3gTTEg2fG0CINLzD3QcnKZewjCL5vYVUmn6Jn8tYcoMpSy0HXBmfW1pCo\nsaUztRmvN7hNtXQ2pF+GpPRq196nNz0us3910B7UaB+3+tTbGmtXjtoNiSqTY0h/1+yN31vBob9n\nHDHkHpWaTRFaUK7p7Cqx8+lH+kNyYsByR2WFGJ9+1uAFN/WmrSIgsBxB+BpqhacF+mRptamo5fb6\nHGU2S+kjVo9eXY6hfVaLVmr95AO2BU2n9A1k/1yTpbYQoHV+XZFS6+++2kNNlmytfN9xfaAsmd23\n8tQ6u/Xj+HuLwDQdqjOZvnE3ZDvbp+xakCeUN7IifdZ/mW6GyML2Arl9DrEthXPVBjh90gfWK070\nXXxr2Zh2bGbgfeSgbfvNMyeVo+szKJXb9+UUHFgdoO6I+lIpfU4xK5Rm4IqKPow16labWcGwBtWZ\nyzBkpQcHeB/xj8FQXQxdKabpsEwffTpyh+SpE73u2nLpLGe+zvjvQ0F99Q5/b0H7cawDqjmcTXCC\nOjp90h96MVpw69sng+YQs2KqyjNkWuVL+9ZF7Tnsm0JziTVn5OkpR61A6vvwva8vs8GgsgzVo+uM\n5/Qbtob0o9pV9piIbOlhDVn+mPI6ho68WvHb5euTqZVbJmp942TN87Turr4aWIetMtseo7PatWiw\nM0RvLfmulr4q6B0WEfHxiHgmIr4s214TEQ9FxBMR8TcR8Sr57QMR8WREPB4RP90+eY8Etbs0h+7f\nard2i/eYnPm6s41NMcQxDWm75fiGFBz7dOX95UVb3Z7lsMdC/x1r3Xwoc6212tEQbJksY5HVODKd\n1fTbQt+drtxnXSczZJ8haa510df2GLuq6WFITn+IPFl/tfYf024DQ4bGHwL4Gdv2fnR/lPJ9AB5G\n9wx9RMS96B67cA+AtwD43Yioi3l5d5y0rUh+bFpFc6x8+YBoDdi+AdaX21WMcTQ8hyN7IFNLJ2ML\nboFVXQ0tZimUVFvF3D79jjX+7LEHteJeAfDMbi6Lpwb13EPRl0KpOUV/jQ2K2HatP4diqF1Rnm/t\n5nKMQXavSO0cLfn6dORj3nW1jsOqzbJPIcoHBpB+KeUfATxnm38B3R+kYP7+i/PPbwXw6VLKQSnl\nqwCeBPDm6smf2x0nLbBIA/hqHl91kSkzy93P5DUEmVFn+wyRpyVbC1mvPbubk35mcOvUHmb28qLy\nmMjaSWwdwx9DUrVinK9CUXxzd/E5W50ytqinGOskgM10li1B9v4cg6F2RXt8djeXaSiGBBfZqqts\nv6FBkUL1NGT1WCaPc9a6dn+NIv0M36V/lAKAf5TyOgBfl/0uzbflGHIB2XSHSs1ufkLynRhztUNW\netABad43e7bH0FUoQ/SxzgB1mbMlbTW5NsXVjGaG9ufQ3P46v10NWdZBqx/HoJXWqa1yWrf9octc\nx656AlbHYvZ8qWvFE/ze4izKuG57I3BShdz1hvXlXeDJ+7vPN13Mn6e/6WB0tIq4ijGEx5UCm0BX\nfrSKR+sQ8Tq56TFLxE6ayIYSyEk7Sf03KKD/5qGsrSFFwj4MKQCOhd90VsOYdjetWVHXfYsq1tUD\nI/t1Ur9DsO6Mbexvz+6OT4U3EKX0W/X8T9A/W0r5/vn3xwFclD9K+ftSyj0R8X4ApZTykfl+fw3g\nQ6WUzyfnPIVs1oQJEya88lFKWTskGBrpu/9/EMC7sPpHKQ8C+FREfAxdWucNAP45O+EmQk+YMGHC\nhPXQS/oR8ScALgK4OSL+C8CHADwA4M/9j1JKKY9FxGcAPIbuf4h+tQyZSkyYMGHChGuCQemdCRMm\nTJjw/wOn8sC1iPjZiPi3iPj3iHjfacjwSsNVvUnujCEibouIhyPiKxHxaES8e7590udIRMRORHw+\nIh6Z6/O35tsnXW6AiNiKiH+NiAfn309On6WUa/pC52j+A8DtAM4D+CKAu6+1HK+0F4AfBvBGAF+W\nbR8B8Bvzz+8D8MD8873o/rP4HIA75vqO076Gl8sLwHcDeOP8840AngBw96TPtfV5/fx9BuBzAO6b\ndLmxTt8D4I8BPDj/fmL6PI1I/80AniylfK2Usg/g0+hu9prQQLmaN8mdMZRSni6lfHH++QqAxwHc\nhkmfa6GU8uL84w66oO45TLpcGxFxG4CfA/D7svnE9HkapO83cP03WjdwTWjhZG6SO8OIiDvQzaA+\nB+C1kz7HY56KeATA0wB2SymPYdLlJvgYgPdieeX+ienz5fcnKhM2wVSVH4GIuBHAXwD49XnEP/Te\n7gmCUspRKeUH0M2WfiQiLmLS5VqIiJ8H8Mx8Jjr0QdejcBqkfwnA6+X7bfNtE8bjmYh4LQDMb5L7\nxnz7JQDfK/tNOjZExDl0hP/JUgrvM5n0uQFKKc8D+CsAb8Kky3VxH4C3RsR/AvhTAD8eEZ8E8PRJ\n6fM0SP8LAN4QEbdHxDaAt6G7qWtCP2o3yQGrN8m9LSK2I+JONG6SO8P4AwCPlVJ+R7ZN+hyJiLiF\nK0ki4gKAn0JXWJx0uQZKKR8spby+lHIXOm58uJTySwA+ixPS5zX/E5VSymFE/BqAh9A5nY+XUh6/\n1nK80jDdJHdyiIj7ALwDwKPzXHQB8EF0KyQ+M+lzFL4HwCfmj1DfQjdz+ru5XiddnhwewAnpc7o5\na8KECRPOEKZC7oQJEyacIUykP2HChAlnCBPpT5gwYcIZwkT6EyZMmHCGMJH+hAkTJpwhTKQ/YcKE\nCWcIE+lPmDBhwhnCRPoTJkyYcIbwf/nXy058oBNMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e094ad0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pl.imshow(np.abs(Z), vmin=0, vmax=5, aspect=1);"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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zo2l33Jpl39Bmhj91Hfc+oLh/Jdz+ATj3vs1cHFueYoasmGMNo1tb8CdoVFta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\n4f8HAnEZ1IKsCLcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f5ad1d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pl.imshow(np.imag(Z), vmin=0, vmax=5, aspect=1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"3Dで描いてみる。%matplotlibの行を切り替えるとグリグリ廻すこともできる。"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python2.7/site-packages/ipykernel/__main__.py:7: RuntimeWarning: invalid value encountered in greater\n"
]
},
{
"data": {
"text/plain": [
"<mpl_toolkits.mplot3d.art3d.Line3DCollection at 0x10ed77ed0>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AXD4svJlpj26E1AcXAEUFt5QSqVQKvb29yGQyCIVCCAQC3gSziWQyq0TFDqxC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\nV+xqH7sRDotO9KmnClooKdH2Gjh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wdavBccdpfPRRLbW1Gtddl8KyZRpbtmj06RNlypRy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JgR4uqro3TpYnPddRY+n6J9e4dIRDFvnmjXv/++yYIFBkuWmLz5ppeiIo2cHEWnTlJU27Qp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\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4ygIhesKgnIar1cDq1R246y4BOl0ou8p0Gm9FWHa7HVarVf4+baLcsmUL8vLy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\n8CcXtnPjSJeuzgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f8f4e50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#%matplotlib osx\n",
"#%matplotlib notebook\n",
"%matplotlib inline\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"fig = pl.figure(figsize=(10,6))\n",
"ax = Axes3D(fig)\n",
"ZZ = np.abs(Z)\n",
"ZZ[ZZ > 10] = 10\n",
"ax.plot_wireframe(RE, IM, ZZ);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"とても参考になりました。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"実部が負の領域で桁落ちが生じるらしいので試してみる。"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-19505.76592199259+11167.139941222078j)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"zeta_r(-14+3j)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"真の値とかけ離れているので、やはり異常が生じているらしい。元ネタでは4倍精度を使うことで改善したようだ。Pythonの浮動小数は64bitで倍精度に相当するはず。numpyのnumpy.complex256型で試してみたが改善されなかった。"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
},
"widgets": {
"state": {},
"version": "1.1.1"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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