{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Euler変換によるζ(1.5)の計算\n", "\n", "* 黒木玄\n", "* 2021-03-25, 2023-06-09" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "logrelerr (generic function with 1 method)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using Plots\n", "default(fmt=:png, titlefontsize=11)\n", "using SpecialFunctions\n", "SpecialFunctions.lgamma(x::Real) = logabsgamma(x)[1]\n", "logrelerr(x, y) = log10(abs(x/y - 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Euler変換\n", "\n", "交代級数のEuler変換については\n", "\n", "* [02 級数](https://nbviewer.jupyter.org/github/genkuroki/Calculus/blob/master/02+series.ipynb#Euler%E5%A4%89%E6%8F%9B%E3%81%AB%E3%82%88%E3%82%8B%E4%BA%A4%E4%BB%A3%E7%B4%9A%E6%95%B0%E3%81%AE%E6%95%B0%E5%80%A4%E8%A8%88%E7%AE%97)\n", "\n", "* [交代ゼータ函数のオイラー変換](https://nbviewer.jupyter.org/gist/genkuroki/4a8fea5e2ed1b4e3b737c99acf237042)\n", "\n", "を参照. さらに\n", "\n", "* [ディリクレ級数の滑らかなカットオフ](https://nbviewer.jupyter.org/github/genkuroki/Calculus/blob/master/A01+Smooth+cutoff+of+Dirichlet+series.ipynb)\n", "\n", "も参考になるはず. 交代ゼータ函数は極を持たないので, 滑らかなカットオフが正確な値に収束してくれる.\n", "\n", "交代ゼータ函数 $\\eta(s)$ は次のように定義される:\n", "\n", "$$\n", "\\eta(s) = \\sum_{n=1}^\\infty \\frac{(-1)^{n-1}}{n^s}\n", "$$\n", "\n", "正確にはこれの解析接続を交代ゼータ函数と呼ぶことにする. $\\eta(s)$ は複素平面上で極を持たない. Riemannのゼータ函数\n", "\n", "$$\n", "\\zeta(s) = \\sum_{n=1}^\\infty \\frac{1}{n^s}\n", "$$\n", "\n", "との関係は,\n", "\n", "$$\n", "\\eta(s) = \\sum_{n=1}^\\infty \\frac{1}{n^s} - 2 \\sum_{n=1}^\\infty \\frac{1}{(2n)^s} =\n", "\\zeta(s) - 2\\frac{1}{2^s}\\zeta(s) = (1 - 2^{1-s})\\zeta(s)\n", "$$\n", "\n", "なので, $\\eta(s)$ が計算できれば $\\zeta(s)$ は\n", "\n", "$$\n", "\\zeta(s) = \\frac{\\eta(s)}{1 - 2^{1-s}}\n", "$$\n", "\n", "で計算できる.\n", "\n", "$\\displaystyle \\sum_{k=0}^\\infty (-1)^k a_k$ のEuler変換の結果は\n", "\n", "$$\n", "\\lim_{L\\to\\infty} \\sum_{k=0}^{L-1} w^{(L)}_k (-1)^k a_k, \\quad\n", "w^{(L)}_k = \\sum_{n=k}^{L-1} 2^{-n-1}\\binom{n}{k}.\n", "$$\n", "\n", "$w^{(L)}_k$ を次の $k$ の滑らかな函数で近似できる:\n", "\n", "$$\n", "w_{\\mathrm{smooth}}^{(L)}(k) = \n", "\\frac{1}{2}\\mathrm{erfc}\\left(\\frac{k-L/2}{\\sqrt{L/2}}\\right), \\quad\n", "\\mathrm{erfc}(x) = \\int_x^\\infty\\frac{e^{-t^2}}{\\sqrt{\\pi}}\\,dt\n", "$$\n", "\n", "http://www.kurims.kyoto-u.ac.jp/~ooura/papers/CET-R99.pdf のp.2を見よ." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "binomover2np1(n, k) = exp(loggamma(n+1) - loggamma(k+1) - loggamma(n-k+1) - (n+1)*log(2))\n", "eulerweight(L, k) = sum(binomover2np1(n, k) for n in k:L-1; init=0.0)\n", "\n", "struct EulerWeight{T} W::Matrix{T} end\n", "\n", "function EulerWeight(; Lmax=2^6)\n", " W = eulerweight.(1:Lmax, (0:Lmax-1)')\n", " EulerWeight(W)\n", "end\n", "\n", "(w::EulerWeight)(L, k) = w.W[L, k+1]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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length=1001)\n", "scatter(k, w.(Lmax, k); label=\"Euler's weights\")\n", "plot!(x, w_smooth.(Lmax, x); label=\"smooth version\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "\\begin{verbatim}\n", "eta(s)\n", "\\end{verbatim}\n", "Dirichlet eta function $\\eta(s) = \\sum^\\infty_{n=1}(-1)^{n-1}/n^{s}$.\n", "\n" ], "text/markdown": [ "```\n", "eta(s)\n", "```\n", "\n", "Dirichlet eta function $\\eta(s) = \\sum^\\infty_{n=1}(-1)^{n-1}/n^{s}$.\n" ], "text/plain": [ "\u001b[36m eta(s)\u001b[39m\n", "\n", " Dirichlet eta function \u001b[35m\\eta(s) = \\sum^\\infty_{n=1}(-1)^{n-1}/n^{s}\u001b[39m." ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eta_naive(s, L=2^6) = sum((-1)^(n-1)/n^s for n in 1:L )\n", "eta_euler(s, L=2^6; w=w) = sum(w(L, n-1)*(-1)^(n-1)/n^s for n in 1:L)\n", "etasmooth(s, L=2^6; w=w_smooth) = eta_euler(s, L; w)\n", "etacutoff(s, L=2^6; N=30) = sum(exp(-(n/N)^2)*(-1)^(n-1)/n^2 for n in 1:L)\n", "@doc eta" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "eta_naive_val = 0.7641819041811663\n", "eta_euler_val = 0.7651470246254073\n", "eta_smoothval = 0.7651470246254077\n", "eta_exact_val = 0.7651470246254081\n" ] } ], "source": [ "L = Lmax\n", "eta_naive_val = eta_naive(1.5, L)\n", "eta_euler_val = eta_euler(1.5, L)\n", "eta_smoothval = etasmooth(1.5, L)\n", "eta_exact_val = eta(1.5)\n", "@show eta_naive_val\n", "@show eta_euler_val\n", "@show eta_smoothval\n", "@show eta_exact_val;" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "zeta_naive_val = 2.6090802213754354\n", "zeta_euler_val = 2.6123753486854864\n", "zeta_smoothval = 2.612375348685488\n", "zeta_exact_val = 2.612375348685489\n" ] } ], "source": [ "zeta_naive_val = eta_naive_val/(1 - 2^(1-1.5))\n", "zeta_euler_val = eta_euler_val/(1 - 2^(1-1.5))\n", "zeta_smoothval = eta_smoothval/(1 - 2^(1-1.5))\n", "zeta_exact_val = eta_exact_val/(1 - 2^(1-1.5))\n", "@show zeta_naive_val\n", "@show zeta_euler_val\n", "@show zeta_smoothval\n", "@show zeta_exact_val;" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ENV[\"LINES\"] = 100\n", "L = 1:Lmax\n", "s_big = big\"1.5\"\n", "s = Float64(s_big)\n", "eta_naive_val = eta_naive.(s, L)\n", "eta_euler_val = eta_euler.(s, L)\n", "eta_smoothval = etasmooth.(s, L)\n", "eta_exact_val = eta(s_big)\n", "plot(; legend=:bottomright, xlabel=\"L\")\n", "plot!(L, eta_euler_val; label=\"Euler transform\")\n", "plot!(L, eta_smoothval; label=\"smooth version\", ls=:dash)\n", "plot!(L, eta_naive_val; label=\"naive sum\", ls=:dashdot)\n", "hline!([eta_exact_val]; label=\"exact value\", c=:black, ls=:dot)\n", "title!(\"eta($s)\"; titlefontsize=10)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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"plot!(L, naive_logrelerr; label=\"naive sum\", ls=:dashdot)\n", "title!(\"log10 relative error\"; titlefontsize=10)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ENV[\"LINES\"] = 100\n", "L = 1:Lmax\n", "s_big = big\"1.0\"\n", "s = Float64(s_big)\n", "eta_naive_val = eta_naive.(s, L)\n", "eta_euler_val = eta_euler.(s, L)\n", "eta_smoothval = etasmooth.(s, L)\n", "eta_exact_val = eta(s_big)\n", "plot(; legend=:bottomright, xlabel=\"L\")\n", "plot!(L, eta_euler_val; label=\"Euler transform\")\n", "plot!(L, eta_smoothval; label=\"smooth version\", ls=:dash)\n", "plot!(L, eta_naive_val; label=\"naive sum\", ls=:dashdot)\n", "hline!([eta_exact_val]; label=\"exact value\", c=:black, ls=:dot)\n", "title!(\"eta($s)\"; titlefontsize=10)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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naive_logrelerr; label=\"naive sum\", ls=:dashdot)\n", "title!(\"log10 relative error\"; titlefontsize=10)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ENV[\"LINES\"] = 100\n", "L = 1:Lmax\n", "s_big = big\"0.5\"\n", "s = Float64(s_big)\n", "eta_naive_val = eta_naive.(s, L)\n", "eta_euler_val = eta_euler.(s, L)\n", "eta_smoothval = etasmooth.(s, L)\n", "eta_exact_val = eta(s_big)\n", "plot(; legend=:bottomright, xlabel=\"L\")\n", "plot!(L, eta_euler_val; label=\"Euler transform\")\n", "plot!(L, eta_smoothval; label=\"smooth version\", ls=:dash)\n", "plot!(L, eta_naive_val; label=\"naive sum\", ls=:dashdot)\n", "hline!([eta_exact_val]; label=\"exact value\", c=:black, ls=:dot)\n", "title!(\"eta($s)\"; titlefontsize=10)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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S6lVSvkTKk0j5UilfMrL94CE+/RBCj5Q5pzPPD2rXx0nsiBAq1pbmqfNFpEhMCoWkUMq3rqETAADQQrTKQEjI7SWRw8uObLGb9HaTVcojeKaPLfII3sSAMcbNTg4dfx6x2rhZrlcq9SouKLrLXE3T1YYnqzNezE7cffeQmtJoDBoNpVUZ1GKeSEAIRKRwSa/5XEfzxIOzSTnXXg+dxY0DOpd1uUhbzMN5QlIg5on4OE/EEwkJgYQnhkcqAQCgflplIEQIyQZNzPn4ZWlOJs/Fq7nbUgUZX1r5Aqmb1OXVbtONm8PbDxrefpBpBrVBk19SwBPxFOInPV1/+w60yXMgZfryO4Vpesago3Qqg9pAGzSUVkNpWcSuHbLSRiBHCC09uzJXlf/DsC8RQixi3zn+IUKIwAkxKeITPAEhEJB8Ps53Eju+4D+SK/Z8dqJC7NjBzgchxLBsWvE9EieFpIDACDFPhGO4cTguAAC0Pa01EOJCiWzA+LJDmxxmfdDcbWk0Yp7IXmgrkz4bBOQuczXtUA73HTjcd2DNhbwf9Q7NPJmpHEPYvB6vFmqKKIbSUFo9rdfRei2lMzAG3tNrvAzLns+67G3jyQXCfHX+14k/aCmtltJxRzEsozKoEUKjOgxZGP4GQuiRMmfxqeXTukzgLvlezb2+/fZePsHjwi1CSMqXYAjjEbw+nhEd7HwRQnnqgqTHV/t49eJiaq4qL6v8MXc12KAz2DG2GIYJCIGA4MMlYgBAE7N4IDQYDCqVytbWtrEKTCtj199mPg8npNExOWf26h+k8L0bZ86atoGHkzz82WnlHrWsIT+OYf8Nn2vcdJYo1g39osqcLHoy94Kb1OXTvu/bCZ+c0/Z2PqM6DDEwBi5wIoSUehWLWANt0NNPQnKRpvh6/u0uTp24QHjpUfKpzHNKvQohpKf0OkaPENLROj1t+GLAsk4OHRFCP1/bcjg9fvPo77lD/pfwxd2idO41geMiUoQQInHSRiB7J+x1ISlECP1xezfF0NwIYYZl/7qz38AYEEISnph7fpSP8wSkwF5o21Xx5PGbmwUpzhKFo8iee4M5yjzubUp5Eu4Zfx5OcoUDANoqCwbCpKSkuXPnXrt2TSwWFxYWNlaxHhLsTA674irzXje+3aT5LGVorJJBzTD07IFL036qjC+N8gir+dgAB78ABz/jZozfMG4aBFT9zDKzuk6d0nmcmCfiNt8Oe61UW6amNAghmqG5iEsxFMXQfELA5fG19dZSOmMJOlqv0qsQQjnKPIZluBQ9rVeIHblASLP01pt/Bjj4TQ+MQwhllz/+v1PLKYZGCCkNKm7SJQNDaSntGL/hC8LmIIQyy7Ln/r1obveXh/kOQAidfXjxp2u/CZ82QEgKyKe/QuI6jQ13644Qup5/+2jGycmdX+CGK5/Lunw97xZFUTweT8qXGN+4lCfp5x0l58sQQvdKHuSociPcenIPuaYVZ5TqyhBCOIYb/yAIIVuBnJsyAiGkobQ4hgta4WxKADQ7CwZCBweH//3vf1qtdtasWY1YrJBAe4eQYXsoPzmaGNC9EUsGLQqOYaZf+nK+jAsSNQhzDTU9nOsa1oDAiBV93zduesjcfhu9ruZDvOTuf4z9SUg+iXyR7j295O5a+kn05a4nc699bJ7cvXaVOvvbdzA2Xi6QyQRSA27g8/lKvco4x2GuKj/MLZTLllackfg4ubtLNy6w/X3vRHrJfYQQwzLGwVYIIZql1w5ZyXVYPz63SmlQrxn0CUKIYugXds3gYifHeMe6o337rwYu5/LMPjy/t0f47OBpCKGHZdnLz69CCEl5z12alvGloS5dx/gNRwjlqQs2X98+2KdfsKILQiilMPV05nnTzMa43ss9jLsO8UiZk5zzbz+vKO6K972SB5llWZVbhWN4oFMn7kpGsbakTFfu/fQyRomu1PiWuZvW3GvoqYNGZPG5Rs+dOxcTE1Nzj7Aec41eKWSHHaGODSe72repeWFa4zR9DQRzjTaBcr2Se8ENOeZeF2qKjTdlGZZNL8mgGZq7H8xhWVZpUHnLPXxsvRFCWkp78kFCsHMg17V9pMw5lXnuuVp0T2qJ9ozs7NgRIXS78O7BtGPTAie4SBTl5eXn8xPPZydWbhVCaF6PV7nY+futXWcfXvxq4HKuncsSPr9TmMbloVnaGBSFpHDL6HVcnrfi3zPQhu+Hfo4QMjDU1H3/Mf25ICSFXIj1sfXifvcYGGp+/JJwt+7clYDMsuxVl9YSOGH6XriRZd1dgrlLF7mqvB+ubBrTcXg3RSBC6EZ+ypF7xxFCfIJfoRc+sF00d1/8funDM/fPj+owxF5ihxC6WZByr+SBaU4hKeDhPAxh4W6hXFDPLMsqUBeFuARxV1/SS+6XaEsRQtyYNeOBIlJoXGOgRFeKI1wukFX+k5oy3h1oAq3xS6xFBMKxY8eGh4cPGTKE2xQKhV26dKl10u0/M5iFl5lLMaRChBitGhe2hZGNrfEz1EAQCK1Ek322ueFgJptaA0MhhMQ8ka3Ahkt8WJYt5Uu4+9w0S98quKs3mU8DIaSnDTpaZ/oj4NKj5ACHDty16BxVXuLjKwghbgCa6YFhrqHcuLO04oy/006M8x/lIndGCJ3KPPfP46uV24lh2KvdpnO/LQ6kHb38OPm9Xgu44Lrmnx8flD5ECKkNGu7aPofEya8HfczlWXp2pZ42GKfEmnFgbpmuvPLfpL1tuzWDVyCEDLThhV0zB/v0m9fjFYRQRmnmvKP/Z7z9zxHzRARGDGzXh7takFGa+d7pT17tNr2fVxRC6OzDC7/d2GnMbLxhjxCa2GlMhFuP8vLyFGXaX3f2v9F9tofMDSF0IO3vxKfv3TikDiGEY/jULuOdJU5csanFGS8GTuR+texNPZyjzOOySXhiHH8SxQWEILbjiEYP6g0KhDdu3FizZk3l9BUrVjg5PXkAwJxAGBISUlJSYhxQY2Njs2fPHpZla12h/uMb5OlcfH/QA8PWT6TzVmNEax0Ea6RUKlvd4s4NpFarRSKRtQVCrVYrFreFn27ms8LPdqtYfUJNPRdlEUIaSkuztA1fLnp68TlPU2DDl3OhV0frHyqzjZlphtFQT/rfPjZeNny5Uqlk+GxaaUYX+wDukIfl2Q/Kn1wSp9knN/g50W4R3Ai4W0V37pVmjmg3kAtyp7Mv5GsKnrWQedJCHsGL8xtLPt99r5lQKOTxeDXnadAZsrOzi4qKqrLiOpXj7+9fj2WYEEKfRaJJJ+iFWe2/dPHG/z0j7TOmhsythbX1CHEct8IeIUmS1tYjRNb32SZJsuUHQhmq/aSYnjgZQo62tUzfIZPJ3B3cjJudZQGdUS1j+8NlPcJRD+PmqIAhtbaqETXoDLm7u8+cObORWlIfGEK/9iGiD1D7Os0cfvQ9SfgQTCCq/TAAAADgKQvePi0rK/vxxx/37dun0+l+/PHHHTt2WKIWEYn+GkS8/9CzwCOk/NQuS1QBAACgDbNgINTpdElJSSUlJVOnTk1KSrp165aFKvKWYn8OJKeRU0pP76UKHluoFgAAAG2SBS9eOzk5rV+/3nLlm+rljL0d7baufOLrv33pMf9LZE03nAAAADREEz1Z0gRmdsQVA2OvF6PHJ/Y1d1sAAAC0Gm0nECKE5gcRN/u/te1aYZGu9swAAAAAamOBECH03/5eeb1njPibKocpSAEAAJihrQVChNBnYUR3R2zYEUoJsRAAAEBt2mAgxBD6rhcRJi6bdrhYSzd3awAAALRsbTAQIoQwhD6SJL7974oXjhp0EAsBAABUr20GQoSQLGxwgIwemH1oykmaYqrIoLt7tWjrl1RRbpM3DQAAQAvSZgMhwnGHyQsmZWwVlT2efZZmTKYWZ/XavFXzSnatw3Ci6JePWYO++lIAAAC0cZYNhEVFRQkJCcnJyQZDMwxcIRUe8kFxX2Z/k6Vkpp9+1i/EeALbCW84v/uD3eS3SUe3kr/WNn3bAAAAtBAWDISffvpp+/btFy9ePH369M6dO6enp1uururI+sbitGEH+WefW9ve/z3xydgZDON7deRmn7GbNF9//7bq4pGmbxsAAICWwIKBcMiQIQ8fPkxISLh+/Xp4ePiHH35oubqqheP2U97Rnt0zzrGkwNb7hXhKQz23HxOIHGZ9WHrgV0NWM8RpAAAAzc6CgbB79+7cOpwYhnXt2rXmtXkth1R4uH283WHim+tHKBRCbNiRis/akwoP+2kLGY2yWZoHAACgeTXFipEqlWrjxo2LFi2qLkN5efmFCxeMS7Pa2NgMHjyYeaqxmoEhtCEae+sCO/AQdWgIbi94tovfMQQh1Ih11VvjvuVWgXvL1rYwr9We6OZuRZOCE90S4Hjt/T2MZdlaM1Xn3r178+fPr5z++eefBwQ8WY+YoqiJEyfiOL5z587qvuzCwsIQQh4eHtymUChct24dy7K1rlBfDyxCS66QCfn4nr4GB0H937uFKJVKrhttPdRqtUgksrZAqNVqxWJxczekSVnhZ1uj0bT8FeobXUs70UKhsNZT0KAz5Ojo+Nprr1VOd3Fx4V7QND19+nStVrtnz54avul8fX1jY2Pj4uJMEymKskQgRAh9G42WJdPDT+LxIwg38XOt0qVeQwgJ/IIbvVIzsSzboj5DTQDDMLFYbG2BkCAIiUTS3A1pUlb42SYIwgoDYWs80Q06Q3K5fMSIEdXtZRhm1qxZ+fn5+/bt4/P5Damo0S0LJQiMGXCQPjqc8JI++wrG+ILCn//nNP8r0sG1GZsHAACgyVjwp8rSpUt37NixaNGib775BiHk4OAwe/Zsy1VXVx+E4HIeij5AHxpKdLF7Egv53gGyIZMLN35s+8JruESOi+W4RIYR1vWDDgAArIoFv+K7dOny1ltv6XQ6nU6HEOLxeJarq37eCsSdRGjAIeqvgWRvlyexUBodQ5cWlh3cxKjLGFU5rSrD+ULHuZ/yPTs2b2sBAABYggUD4aRJkyZNmmS58hvFlPa4swibcJz6uQ850vPpsNVRL5nmYbRqXPhkXANdVoRL5NBHBACANqPtzjVqtoFu2P6h5Owz1M93qh7ya4yCCKHy+O1lhzY1VdMAAABYHARChBDq4YgljCZXXmOWJdeyaJNs8CTVpaOGbJiGBgAA2ggIhE+0l2NnRpF77rNvXXhuqYoKCJmdzYgZxdu/QQ14/hIAAEDLAYHwGVcxOjmSTC5kZ56mDdVPjCCJHI4IQnXhcBM2DQAAgKVAIHyOnQAdHUaWGtCovytOSfoMhtlNnFd68Fe6rKhJGwcAAMACIBBWJCLRrkFERxus1z7qoarq658813aS8CGle39u4rYBAABodBAIq0Bg6NtexGx/vNc++mph1bFQPuxFfcZN3d2rTdw2AAAAjQsCYbXeCsRXR+BDDlNHsqqIhRhfYD99MSJb3CwBAAAA6sSCD4ar1erk5OSsrCw7O7vo6OjWONf+OB/cXYLFHqM+6k68ElDxRwO/XafqDmTU5dqUJHFoP8u2DwAAQINZMBAuWbLkypUr3t7eGRkZ6enpp0+f9vPzs1x1FhKhwM6OJkf+TWer2WWhRK35qdyH5Wf2aK6cEXWNEof0Rda0qAIAALRGFgyEq1evNr4eN27cunXrvvrqK8tVZzkd5Nj5GDLmKPVASf/Ym+BVupysz7jFb9dJeydZeXqPITtd0muE8//9SMjsuL3q5FOiwAiM3/jrSQEAAGi4Jpozk6ZpOzu7pqnLEhwE6OhwcvIJetTf1I6BpM3zi0qV7PuZLs7HJXJp37EOL3+IPX/jUHv7Hyr3oXz4i03aYgAAAOaxbCBMSEhYvXp1ampq586dFyxYUF22oqKi+Pj44uJiblMsFk+dOpV+yqItNJ8QQ38OQB8ko557qX0DkZ/Ns2ueNpMXMCWF/PaBCCEGIfR8m6XDphV8NU8YPpSwcai1lhb1lpsG95atbWFeqz3Rzd2KJkXTNI7jVvXZRi3vRJtzChoUCHfs2LFq1arKtV64cD+jK2QAACAASURBVIF73aFDh9mzZ6ekpHz++ecnT54cNWpUleUolcr09HT26aRlIpFo3LhxLMtSFEUQtd+Wa0r/64q8RVi/Q9jWPmyU4uloUrkjJnc0GKp5Al9iKwgbUnrwV9mEebWWbzAYqi2njeLeslV9WTAMY7Unurlb0aS498ta2XSMLe1E83i8WuMI1pCTlJ+fn5mZWbFEDAsNDa2Q+N133/3xxx8JCQlVljNp0qTY2Ni4uDjTRIqiKIoSClvirbVj2ey0U9RX4cTUDmY9f8LqNDkrZjvMXsb3rGW4UHl5uUwma4w2thoqlUosFltbINRoNBKJpLkb0qSs8LOt0Wh4PB5JWteqba3xRDfoDDk5OTk5OZmTs7S0tC39tx/sjh0fQcYcpVPL2KWhRK1f4ZhAJB86tXTvT05vfN4U7QMAAGA2C/5UGTduXOfOnZ2dnVNSUjZt2rRr1y7L1dX0Au2wy2PI2HgqpYT+tS8hrO0KriRimPLsPu3Ni8IuEU3SQAAAAGax4Mwy8+fPFwgE6enpXl5e165dGzx4sOXqahaOQnR0GEmzaOhhqlBXW24ct4l5uWTfBli/CQAAWhQL9gijo6Ojo6MtV35LICLRjoHEe4l0xF5q3xCik21NV0mFnXrKNaoqH7FndRp99j2BbxeLtRQAAEDVYK7RhsIQWtGTWN4d73eQ2p9Z/TKGCCGEqpx0TXPjYs7K/2ivn+c2y+O3Q68RAACajHUNZ7KcSe3xdjJs/HH6VjF6N9jcnxd0aWHJX98bch7YT1ko6BDEJWquXyCd3EXBvS3WWAAAAM9Aj7DRRCiwSzHEzgzmlbO0vsaeIZWfzShLlWf35X7xOs/Nx3nROmMURAjJh0wuO/o7dAoBAKBpQCBsTO4S7NRIslCHBhyk8jTVZtP8e/7x8pmaawmKeavkw6ZVmJJN2DkMYZjm5iWLNxcAAABcGm10Uh76axDxv2S6135q3xCic1XDZ6R9xvBcvLiAV0URGCYfOqX8722iQHjQAgAALA56hI0PQ2hZKLE0FO9/kDr8sKpFfXl8YZfwGlZoEgVGsrRBezvRks0EAACAEARCy3mxA75nMPlKAv3l9VqGklYBw+SDJ5f9vdUC7QIAAPAcCIQWFKnALsUQO+4xU07SGqpux4q6RbNatfZOcs3Z1MmnGK26/k0EAACrZ/FAyLLsnj17kpKSLF1Ry+Quwc6MInk4itpPZSrrMhAUw+zi3sIFohqylO7fULz1S9XZfQ1tJQAAWDGLB8INGzZMmjRp/fr1lq6oxRISaFNfYoYfHrWfvpRXh1jI9+nCb9ephgw8Nx/HuSuVCftZuo79TQAAAE9ZNhA+evRo9erVU6ZMsWgtrcJbgfiPvYkxx6hf79b9lmE1xN0HCHy7kM5emqtnGqtMAACwNpYNhK+//vonn3xia2tr0Vpai+Ge2JlR5Mp/mbcu0LT5PUOWNe3wMaoyuqzYdL+sX6zy9J7GayYAAFgXCz5HuHnzZpFINGbMmNOnT9ecMzc3d/fu3WlpadymUCicO3cuTdMURbWx9Vq9hejEEDTtLDbyCL2pN2vLr5hBp9Px+c+l6lOSNOcP2MxaihCii3JKf14mGTxZENLXmAHz7Uqrlaq7V0nvmq6jtlg6nY4giDZ2omvGMIxOp7O29Vorf7bbPJ1OxzAMTdPN3ZAm1dJONI/Hw/FaunwN6hHOmjXLp5KXX34ZIZSfn79ixYrVq1ebUw7DMCqVquQptVrNtt0JxuwFaN8A1k+Oog/jKaW15+f5BdN5WVTmXerRvZJ1/yfuM9Y0CiKEEIaJeo9WnztgoQYDAEDb1qDfpF988YVGU3EmMZFIhBD67bffKIp68803EULXrl2jKOrtt9/++uuvqyzH1dU1NjY2Li7ONJGiKIIgBAJBQ1rYMgkQ+jYKbUtnhhxDP0QRse2e/RzR6/WV3rJAPniScu8PdEmh3cQ3RV2jKhfIjxqpc3JtpX8riqIEAoG19QgZhmml56veqvpst3EMw/B4PGvr+rfGE92gM+Tg4FDdrnHjxnXt2pV7/cMPP2g0mokTJzakrrZnSnu8ky32Qjx9KZ9d0YPAqw8E4rDB6iunbce+Zjo3tymMx4eF7wEAoH4s9VPF29vb29ube33o0CGlUhkZGWmhulqvEAcscQw54Tg15hi1pR9pU811dYzkOc1d2bRNAwAAa9EUM8vMmDHjP//5TxNU1Bo5CtGx4aSvDAvfS6WUNPTOKKNV1bCXKszJ/WIuYhrt+Q0AAGgDmiIQBgcHd+/evQkqaqVIHK2JJOYH4v0OUidyiXqXQ+Vl5a2aV91ChoxGWfjTh5LI4ai2AVQAAGBV4DuxpXitE75zIDnnEu/zf5n6dQxJhQcullW5kCFLU0W/rhAE9JD2HtXAdgIAQBsDgbAFiXbBTg7S7r7PjD1GlxnqU4K079gqH64v2fktxhfYjnmF21Se2VtdxxEAAKwNBMKWxU2MTo0kFUJUv1uGouDeVH6W4VGGaWJ5/HZD9j37F981roCounRUl3atcVoMAACtHATCFkdAoJ+iibcD8egD1N4HdRvYghGktPdo006h5tpZZcJ+h5eXYnyhMVESPkR18e9GazEAALRmEAhbqFcD8D2DydfPMYsT6TrdM5T0GqG5fp5RliCEGK2qeOdax1eXE7aOpnnEPQZqbyUy6vLGbTMAALRGEAhbrihnLHEsceYxO/YYXao39yhcLBN1i1aeO4gQwoUSl/c38Nx8KuWRCjuHqf850bgNBgCA1ggCYYvmJsZOjiRdxKj3fiq11NyOobTvWPXleO41LpRUmUcSOUx18UitRTGqMu2ty2bWCwAArREEwpZOQKAfexPzuuDRB6gDmWbFQp6zl+Kdb2optn0Qq9fpM+/UnK14++qi3z6HhX8BAG2YBWeDvXPnjukCTLGxsU5OTparrm17JQDv7oiNP04n5GI1T0zKwcWyWnJgmCRiqOri33wv/+qyqBPjqYLHdpMXYHj9H/MHAIAWzoI9woSEhE8//TTpKbVabbm6rEGoI3Z5DPlPPjv6KFWsa4QCxWFDuDE1VaJL8kv2/mw/daGoay9kTUtDAACsjWXXBwkJCVm/fr1Fq7AqjkJ0ZBj5fhIdtpfaNYgIsm9QfCLkdg6zPqx6H8sWb18j6xfLc/dtSBUAANDyWfYeYXZ29po1a7Zv315aasYStMAMJI4+60ks744POERtSrXU9NnKs/sYjUo2YIKFygcAgJYDs9xa8Nu3b//rr7+8vLyuXLly69at06dPd+zYscqcvXv35vP5vr5POh9yuXz58uUsy1IUJRQKqzykrSovL5fJaru9hxBC6HoxmnyGGOXBfBzCko36e4ZVlRZ99abtnM8IRzcuxXDvhubiYfmUhY1ZzVMqlUosFlvbwrwajUYiqXpAb1tl/me7zdBoNFa4MG9LO9E8Ho8gahnl0KBA+Ndff7344ouV0x8+fFhhzd6XXnpJp9Nt27atynKGDBni5eVlXKFCKBROnTqVpmkIhDUr1qGZCUhFoa19kLOonjVSeQ+p7HRhSL9nSQxDFzwiFB7GBFanKfj4JYf/+xkXS+tZTfUgEFqJlvb92AQgELYEBEHgtS2506AzFBsbW1JSxWgLPr/iCrN9+/Zdu3ZtdeXY29sPHjw4Li7ONJGiKAzDeDxeQ1rY6vB4PPPfsoKHDg5Dn19jeh1k/hhA9HKuTyzBhKLifRukof0w8lm9PPfnn8Hn8QT+odTty5KIofWoombcW7a2QEhRFHy22zzuLFtbIGyNJ7pB19RwHOdXhdur1z+bDeXvv/8OCAhoUEtBVTCE3g3Gf+hNxMZTK6/V55Yh6eDKc2unvX6h5mzi0L7q5FP1aSIAALRsFvypEhMTQ5Kkm5vblStXCgoKTp48abm6rNwITyxxDDn+OP1vEftjNCGp41mVRAxTXTwiDIos3vGN3cR5pl1DI2HnsOLtq+myYkJu1ziNBgCAlsGCo0Y3btz4yiuvhIWFffzxxykpKe3atbNcXcBLip0ZRQoJFLWPSi+r231fUdcofXZ68e9fs1pVlVEQIYTx+MIuEZqrZ2ooh9VrS/f8iBBiNMo6NQAAAJqRBQOhm5vbmDFjZs+ePXToUIFAYLmKAEdIoA19iNc74xH7qN3363CZFCN54u4DtHeS7Sa+VUM2cWhf9ZXTNWQoP/EnXV5MFT7O+3q++bUDAEDzgrlG25pXA/C9g8l5F5ilSXVYv0k+OM5p7me41KaGPIKOIVR+Nl2UV+VeurRQeXafzciXSHsXVq+lch/WteUAANAsIBC2Qb2csSux5Pk8dtAhKk9j1iG41Jbn2q7mPBhB2k2ch6oZD1Z2eLMkYhhhr0AYJuoSobl5qY6tBgCA5gGBsG3iJmPr44r13Etdymu0ORNEXaMIWRWDZQyPMrQ3L8sGP3kARhgYrr1xsbEqBQAAi4JA2GYRGFoWSnzXCx9zjFpzw1KTsXFK9/0sGzrVuPahwK+b4fF9RlVm0UoBAKBRQCBs40Z74WdHkRvuMi+eotWWWVVQezuRKsqVRA4zpmAkT+DXVXsr0SL1AQBAo4JA2Pb52WCXYkgejqL21/nJisoYVVnB+vdNU8oO/2YTMxsjnnt6UdglQnPTrKujmsOb9PdvN7BVAABQbxAIrYKIRBv7ELM64lH7qYMPGxQLcbGMys82ZKUZU+ymvCMKjKhYY5cw3Z0rtS5tTxXmaM8f0N692pAmAQBAQ0AgtCJvdsF3DybnJNAfJNF0vaMhholD+plOt8Zz8a6cC5fa2o57HcNq+YApz+wRRo6U9Xuhvq0BAICGsmwgfPz48bJly2bPnv2///0vNzfXonUBc0QqsORY8nIeO+gQlWvekxWViXr0VyefRrWtWyLuMQDVOOk7o1GqE+MFUaMxPsy3AABoNhYMhOnp6SEhIY8fP46KiqJpOisry3J1AfM5CtGR4eQwDzxsL3U+tz4dQ56zFy6SaK5f0Jp3F7A6qvOHhV0icBuH2rMCAIDFWHDS7f/+979Tp05dtWqV5aoA9cOtWRFoj8XGUwsCiXeD6/x7SBzar+i3z6T9XhB2qXh30EwsTSnP7nV85SM9Qohl6fISmM4bANAsLNgjjI+PHz58+Lfffvvpp5/evHnTchWB+hnpiSWOIXc/YF6Ip0v1tec3JQrtR8jtZQMn1pxN/c8J5bkDVe7SXD1DKjx57r4IIcOjjIIfP6hbCwAAoJE0aIV6rVZrMBgqJBIEIRaL8/PzFQpFUFDQ5MmTtVrtmjVr9u/fHx0dXWU54eHhCCEPjydLootEonXr1rEsa4Ur1CuVSqm08VeBr4GWRu/8Q1zMx7b1of3ljTYHDYdKv64+ulU+57Mqdj24jQklhLOXSqUSCfiln8y0XbQeEzXpe28u1rlCfdN/tpudda5Q39JONJ/Pr/UUNOgMLViw4Pfff6+Q2L179/j4eG6F4ldeeeXNN99ECFEUtWrVquoCoYODQ8eOHXv16sVtikQiiURCUZQVBkKDwdDEb1mI0Ia+aFMqOzQeWx2BT/JtzJXi2YAQ5e9f8PSaKi57+odw/9I0LRKLNT6dsaxUYVCkGYWyLENXeGyxdWEYhmVZ+Gy3eSzLWmEgbGknGq9xyB6nQWfo+++///7776vcZWtrK5VKO3TowG127Njx6NGj1ZUjl8sjIyMnTnzuOhv+VENa2Oo011t+yR+FOOITjtOnc9C3vQh+YzUB5wv9u+tT/pFEDK02C47jOC7066ZP/1ccHFVrkeXHd1JFOXYT3mykJjYP+GxbA/gSay0s2Nzx48efOfNkHddTp0517drVcnWBhuvmgCXHksU61GsflVHeaNdIhYHhFQeXMjRiKs59KvAL1qVeM6dAwsbB8DC1sZoHAAAW7LN/+OGH/fv3v379ularzcrKOnbsmOXqAo1CxkPbBxLf3GB67aM29iGHezbCZVJhp54lO79jDXqMx+dSiv/6nu/RQRI53DQb36MDXVLAKEtrXhMRISQKiize8Q1imJofUgQAADNZMBD6+Pjcvn07ISFBLBb36NEDFqlvFTCE3grEuztik07S0zpgn/QgiIZFQ1ws43m016VeFXYOQwgxyhLNlTM2I2ZUyofzfbvo0v8VBVd9I/lZCwUiQm5P5WeTzp4NahkAACCELD2zjEgkGjx4cFRUFETB1qW3C3YllkwuYAcdonLqOwGNkbBLhObp8oTKhAOikD64RF45m/lXR3nuvvpH9xraLAAAQAjBXKOgOk5CdHgYGanAwvbUcwIaI3FwNCGxQQixBr3q3MHqZhYVh/QVdAytoRz9w9SirV8ihHhuvoZsCIQAgMYBgRBUi8DQip7Eut5EbDy18hpT72BI2CvkI2cghNSJ8fx2AaSTe9XZbBxEXXvVUI760t88hQdCiOfmY4AeIQCgkUAgBLUY6Yn9M5bc84AZe4wu1jWgIJYtP71b2re+C00wtObaOVFoX4QQ36M9XZTXgKYAAMAzEAhB7Twl2NlRZCdbFLKbSsyvZ89Qe+syzhcJOgTV8/C7VwkHZ9LBFSFE2CkU73xr5oEsTWnvJNevUgCANYBACMxC4uiznsTXEfjoo9SaGxWfAjSH8vxhaf9auoOsQV/02+dV7lInnxKH9jduGh/GqJU+41bRLx/XumgUAMBqQSAEdRDbDj8zitxwl5l+ilbVsvh8RXYT3xSH9qs5D0bytHeS6ZL8CumsQa+9cUHUrU/dqkQIIaTPuMVo1YbczHocCwCwBhAIQd10tMEuxJAIoch91N3SOnSzCHPWHcQwQYcgXeq/FZK1ty7xPPyem7CUZRm10px6dRm3SIUHoyozv6kAAKsCgRDUmYREm/sRb3bGow9QO+7V5zJpDQR+wbq0ik8TqpNOibv3M00x5DzI/35x7cWxrP7+bac3vhC0r+e9SQBAm2fBmWW++eYb02UIXV1dly1bZrnqQBN7JQDv6YRNOE4ff8R+E0kIiMYpVtghWHl8Z4VEQftA8fPXRUlHNyrvIUtTNS9DYch7iIulsOQvAKAGFuwR+vn5dX8qMTExMxNu0rQ13DzdJXrUaz91r5Hm6SadPVnKQBXmmCZK+8ZiApFpCsbjE3bOVF5WzaVReVmC9jDbOwCgJhbsEQ4f/mRWZY1G8+677377rbnj3UErIuOh7QOIH1OYiL3UuihinE8j/LQSdOiqS7tGOrjUnI3v5mPIvsdzbVdDHlFgJDfHqSHnASGzq3JqNwCAlWuKe4Q7duxQKBTGdXdB2/NqAH5oGLnoMvPWBdrQ4JuGAr9gXVrF8TKV8dx9a59fBsO4a6eqi3+rLlW7IiYAwJo1qEeoVCpzc3Mrp/v6+mLYszULNmzY8PLLL5umVJCamrp8+fL169dzmwKB4I8//mBZllukviEtbHVUKlUNf6iWLECITg7GXrlI9ttP/drL4Cqq/RCOWq1mGMb0XTMe/oarZ5VKJUJIf/0cMuj4oQMqH0jZuervXCGUZo0dZZw8dbcuY2HDzG2WJTEMo9VqWSt7tLH1frbrTaPRWOEK9S3tRAuFwlpPQYPO0IkTJxYtWlQ5PSkpSSKRcK9TU1MvXry4ffv2Gspxd3fv2rVrv379uE0bGxsbGxsuCgqFwoa0sNVhWVYqlTZ3K+pJitCREejTq0zfY/jmvuQgd7P+M2AYJhaLn/ufI5XK56zgXuZdOiIfOlVY1d+Ebt85b8+6Gv5cjFrJ0gZCZocQovy75R/b1kL+tgzDEARh/D9iJVr1Z7t+CIKwwkDYGk90g85QTExMTExMzXk2btw4YsQIV1fXGvKIxeKgoKBBgwY1pDGgJcAQWtIN7+2CTWmM5Qypwhyq4LHQP6TKvYStI8vQdHkxF+oqKz+xExeKZYPiEEKkgwtr0NGlhbU+zsjSlCErTZd6jTsQANDmWfYeIUVRmzdvnjVrlkVrAS1NHxfsSix5pYAddIh6rK5/OZorp8XdeiO82iczZP1eqOEijD7jFt+r45MNDON7B+gz79RaafG2r3Sp11QXjtS9vQCAVsmygfDw4cM0TRuHjwLr4SRER4aTwzzw0N2G+Oz63AzT3klWJ50UmcwvWpls8CRcalvlLpam9FlpfO8AYwrf21//oLZAyDDalH/EPQexBl2FRzgAAG2VZS9eDxo0KC0tjcfjWbQW0DJhCL0bjIcpsBdP0bP9sQ9DCLwul0lLdn7H0pTAp3P9ajdkp5OObqZPH/K9A8qP76j5KP3Du4SNA2HjIPDrpku9Sjq0iME1wBJefvllSz/czI0Ca1EjR5oATdME0UjzazzvxRdfnD59uiVKtmwgFInMHjsI2qj+rtilGGLySToxn9rcj3QQmHugoENXXCJH9f0S0d+7KfDpZJrC9/I3PExFLFtDmdqUZGFAd4SQoGM33Z0kSQQEwjbrwIEDa9eutbWt+ooCaGn27t2bmJjYKgMhAAghdwl2YgT5fhIdupv6vT/Ry9ms2Gb7wms13B00Uibsl0QOrzzRmi7jtqhrpGkKLpbaTVtUc2TVpiTZDJ+GEBJ27Fa6f2PNURO0dn369FEoFM3dCmCWlJSUO3dqv8dfPzDpNmgK3HKG30cRL8RTy5JpxoybhhhfiJG1X1RXnTtIPX5QOV1//xa/XcXLqqLAiBqKYjRK6nEG3zcQIUTYKXCRxPD4fu0NRYjVaxFDm5MTANACQSAETWekJ/bPWDI+mx17jC7SNU6ZPHdffaX5ZeiiPMSytU7SVoHu7lW+bxdj9BV07Ka7e8WcA4u2fll+aned6gIAtBwQCEGT8pBgp0aSoY4odDd1Ia8RplbhufkasisGQkwothn7al2L0qYkCQN6GDdFgZF0WVGtRzGqMu2Ni9qbl+paHQCghYBACJoaiaNlocS3vfCxx6iV18y5SloTnpuP4VFGhURcLBWH9qsyf8FPS1m9tspd/HYBouDexk1hpx42MbNrbYDmxgVhlzBD9j1GXW5uowEALQkEQtA8RnvhF2PIv+4zU8+Spfr6l2PW1NsmGFWZPjO1yl2S8KG1zjtTmSgw0i5uvqBDkDYlqa7HAgBaAgiEoNn4yLCE0aSbmO2xl04qqGfPkJDZYThBlxSYmZ/vHaB/kFK/uqqES+S4RC7sHAZXRwFopSAQgubEx9GX3ekvw7BRf1NrbtRzAacKnUJDVlr5yb+qrdHb35yJ1p5gWe3tRHMyCruEG7LTzS0WgEqKiopeft7ly5ery5ySkuLt7V2/ik6ePKnVVn13oIFYln3ppZc8PT379u1rifItx4KBsKysbPHixb179x40aNDatWutbdEZYL4x3vjFMeQf95jYY3Rx3UeT8tx9DTnPpgjR3LjIqMqqy8z39q/cI2QN+uId31TOzFKGwl9XVHdPESFk7IkSNg6Khd/Xrd0AmFAqlRs3bgwLC+vzlJOTU3WZWZbV6+t5RyEmJiYvL6++zazJ5cuXz549m5GRcfr0aUuUbzkWfKD+jTfeyM3NXbduXUlJyYsvvigWi1966SXLVQdaNW8pdmokuegyHbqH+qM/Ea6ow2PssgETWJPH+PT3b0ujR1eXmXRwZSlDhWUodPduUDlVPIyI8fh8zw669OvCTj0r79Vn3CrZ/YNiwZMIWvmhfgDqavLkyXK53DTlt99+6927t4+PD0IoOTk5Ozt79OiKH+8DBw6cPn1aLpfPmDHDy8sLIXT48GF7e/u7d+9euHDhgw8+MK7/s337dr1ev27dOltb2xdeeIGm6atXr3p7e+/YsWPEiBGhoaE7d+68ffu2TCabMGFCcHAwQig3N3f37t39+/ffsGEDn89/7bXXPDw8EEKPHz/+5ZdfMjMzXV1dJ06cSJLkDz/8QFHUqlWrIiIi+vbtm5mZuWXLlsLCwv79+48aNQohpFar165dGxcX9+OPP7q5uUVERGRnZwuFwn379nXo0GHu3Lm3b9/+9ddfbW1t33rrrQp/B4uyYI8wMTHxP//5T1BQUHR09JgxY2ro5gOAEBIQaE0k8XUEPvZY3S6T4hL5s5WYWFb/4E7lR+lN8b0DKsy+rUtJEpg8OPFcq/xCdHevVrlLlRhvOsrUfFRRriHln3ocCNq84uLioqdomkYIrV271jijyvnz5yuv7bp48eLPPvssJCREKBRGRkZmZWUhhP7888+4uLjk5OSwsDAcf/Y9L5VKMQyzsbGxs7Pj8/nXr19fsGDBJ598EhwcbGNjc/Xq1cePH0dFRTk5OQ0ZMuTatWsIoezs7MWLFy9YsCAoKKiwsHDgwIFcwwYMGKDRaEaMGKFQKFJSUng8nlQqJUnSzs5OJBI9ePCgR48eWq02ODh44cKFK1asQAgplcrFixfPnDnTy8vL09Pz/Pnzc+fO3bZtW1hY2ObNm6dPn75kyZJu3bolJyc3ca/Jgr9hx4wZs2XLlrCwsJKSkqNHj65atcpydYE2Y6w3HmiHxZ2gz+exP0UT8jpO2G54fB+X2eKSmn5L8r389Q9SRF17GVO0KUl2kxdUmVnYsVvxX2ttKqWzlEFzLcH5+cuhhpwHpJ3CdKbvKmmvnNacP2Qb2gfmb2tRXjpDXy9qujs463sT3R0rfgB69uxpnKT7zJkz/v7+NReSlZW1bt26hw8fcv2nvLy89evXL1++HCEUFhb29ddfV8g/cuRIHo83ZcoUruN4+fJlg8Hw559/GpdAHzhwIEVR5eXlubm5W7du5TqFarV68+bNDg4OU6dOdXFxSU1N9fHxSU1NffXVVz09PY2FDx06NDk5+dVXX0UILViwYPTo0R999BFCKDAwMDo6euHChQghhmG++OKL7t27I4S+++47Ozu7jRs3Yhgml8snT56ck5Mjl8v79esXEBDAsmyTzVfeoEB4//79R48eVUgUiUQhISEIoQULFgwfPrxr164ajSYuLm7IkCHVlXPr1q0TJ04sXryY27SxsTl16hTLshRFGQyGhrSw1VEqlc3dhKamBEl8dQAAIABJREFUVqtpmjb9xDtj6Eg/9N41Xugu+tdIfbBdHb6b9LeTcQ+/8vKaHumj3f0M184Y8zBlRVRZkc7WRVflUfZuVP7jstxHmFhmmmy4eRF38VYTAmRylOb4n4SzFz+8lqm62bDhzIUjJXf/Jdx8zXxfbUBL+2xXHrXwYQjeWBMemSPIvopv+bS0tDpdErx586Zerx8wYAC3mZ+f36vXk1943PdwrTp16mSMgnfu3HnppZeKi4slEkl+fn50dDSX7uLi4uDggBDCcVyhUBQWFgYEBCxZsiQgICA8PHz06NGvvfZahSUWUlJSxowZY2wJTdMPHjyQy+U4jnPB1Vg793/fycnJ09OTe+9OTk5qtVqj0YjFYtMyDQZDzf+1qyQUCmtdAalBgXD//v07d+6skOjp6bl161aE0KhRo2JiYj788EONRjN+/PglS5Z8/vnnVZbj5+f3yiuvjBw5ktvk8/m2trYURVEUZTxD1kMmk9WeqQ3BcVwsFlf46SdD6Me+aPd9ZsJZbHEw8VZgLdfwSw/8wnPzEYf2K8q5J+kYLKn5bxjYEwU+u+enunVB5B8qq/7bR9chiPc4XdQt2jSx8OZ5efgQ8fMVkYHhqotHZIMm1NxahmEMQb2wtCsy/+Cac7YxLeqzXbm34SPDfFpQA58gSZKiKO61SqWqsFcmkzk5OR07dsyYwufzuRdmrn9nzI8QWrRo0cSJE+fPn48Q+vjjj2/dusWlV7ms0kcffbRw4cKjR4+uXr36ypUrmzdvrtAw408frVar1+u5s4/jOEk+izumJZtewq0Sj8ez0EeoQfcI33zzzTOVcFFQqVRyS2ZgGCYWiydOnHjy5MnqyuHxeAqFwvcp7k4sALHt8ItjyN/vMS/E0yU1DpEjpDb6+7cRQvp7t/h1XMJQm/IPt/RSdYQdu2mfn3SUUZfr0q9XvkEoDOiuz7jF6jS1VsrrHK65erZO7QTWydfX9+LFiwghjUbz559/VtjbrVs3hNCxY8fs7Ozs7OzEYnGtfSZ7e/vc3Nwqd5WUlNjb2yOEysrKuG/y6mi12ry8PJlMNm7cuDlz5mRkVJzdaeDAgVu3blWr1Qihn376KSgoyNnZueaGNSNLDZaRSqXu7u6HDx9GCNE0feTIkYCAgFqPAqACbyl2eiTpKUEhu6lL1c9NynP3NWTfY2kKIZan8KwuWxUYRnf3qqDGQCjoGKJLv2Gaok4+JewUVvleICYQ8bz8tdUMrkEI6TPv6NKvI4RI9/YsZTBUNVQVWDNXV1fJU2vWrEEI/fe///35558jIiLCw8M7depUIb9YLP7zzz8//PDD7t27R0dH+/n5nTt3ruYqFi5cGBMT0759+/j4+Aq73nnnnbfffnvgwIGRkZGhoaE1FFJSUhIUFBQeHj5o0KAlS5Z88MEHFTLMmjUrKCjI398/IiJizZo1v/zyi1nvv7mwFhMfH+/p6RkQEODh4REREZGZmVldzri4uD/++KNCosFg0Gg0lmtey1RWVtbcTWhqSqWSYZhas+3KoF226Fdfp6vcSytLsxePY80oh8PotPqHaSzLUqWFeWvfrTW/PivNdDNvzTua2/9UmbP81K6i37+urpy8NQvUV8/SNK1UKot3/VB6ZKuZDW4DWtpnW6FQ5ObmNncrnqN9HkVRXLpGo7l165ZarTbmZBhGp9OZHvvw4cM7d+5USKyH0tLSmzdvmvPdS1HUvXv3bt++XUOlxcXFaWlp5vwHr9W33377xhtvNLycKllw1OjAgQMzMzMfP34sEolgGWjQQLHt8FBHLO4EfTqH3diHsOU/txeXyDG+gCrOI+3NuvxC5WcVbfvSedE6Qm7v9Ppntebnubc33bSdOI/nXHW/U9glvPzEn1Wu6GvISqOK80VBkdyjIaLgqJJd6+RDp5jTYGANBAJBlelCobBCXxDDMNN7ewihxrqjJJfLO3c26+YCQRDc0401sLW1bRVf/hafYs3V1bVV/CFAy8ddJnUVox57qMpzk/LcfSsvQ1Ed0sWbKswx52ZelXguXtU9+UA6umECkT4rrfKu8jN7pb1HIfzJ6ACBTxfZgFqG1QAAmgDMNQpaEwGB1vYivgjDR/5Nrbnx3BJOPDdfbryMOTCC5Ln56B9WvQxFA4m6hOvuJFdIZJQl2hsXJBEmT1ZgWHVrRVVAF+XlfvYf1tCARToAaG7Gsa8tEARC0PrEtsMvVZqblO/enhuHYia+d4A6+RSVl2Vm/vzvFhpyMlm9ttZ+pHTAeFG3PhUSlecPi4Kja37Svzplx7cjgmQ0Les5PNDqpKamms7wFRIScuLEiaapOi0tzRpHjQJgUdzcpN5SFPJ0pXthUKT91P+aXwLf2191/lCF5yJqQCo8dXeSSvb8qEo8XnNOQmZHOrqaprA0pTp3QNpnjPnNM6JLCjRXzzq9/ikht6/H4QAYHTx4cO3atc1Staura0seOArTBIPWipubdIAbM/YYtSCQWBTMIx3dzD+c7+WPEBJ2NGv2DS6n8vwhQ3a6fOjUujZVcy2BVHjwXNtV3lV+fCchtxP3HFTdseUndkrCh9SvKwlal8zMzB9++OHRo0cODg7Tp08PDg5OSEjQ6XQ5OTnHjx8PDAycP3/+2bNnt2zZ4u7uvnDhQolEghDS6/Xr16//999/27VrN3fuXOOYjN27dx87dkwul0+fPr1z586PHj06fvz4o0ePVq5c6ejo+PLLLyOE1Gr1J598cv/+/WHDho0bN860MYWFhZs2bXr77be5mQfy8/O3bNkyf/58DMNSUlI2b95cVFQ0aNCg8ePHI4Sys7MPHz4cHBz8yy+/REVFjR8//ueff05MTBSLxX379o2Li9Pr9cYZU2ma3rBhQ1JSkqur65w5c7ie4oEDBxQKRVJSUmJiYs+ePf/zn//U+nx9I4IeIWjdxnjjiWPIvQ+YscfoOs2PRTq42E15h1SYO9ZO4BesS73Kc29fj1XsWa1aPnRalbt4Lp6qS0erO5AuK1b/c0Laf1x1GUBbMnDgQJlMNm3atKCgoMzMTITQsWPHpk+ffv369ZEjR27YsGHSpEk//fTTyJEjL1++PG/ePO6o2NjYY8eOjR49Ojs7OywsjFtr8IsvvliyZMmAAQMUCkXv3r1v3LghEAgcHR2lUqmvr69xgtAlS5bY29v37dt3zpw5ptPTIITs7e2/++67hIQEbnPz5s3nzp3DMOzSpUuDBw/28vIaMWLEV199xc0X9uDBg4ULFy5durR3796+vr5Lly49cuTI5MmThwwZkp2djRAqLCz87LMnw7Nfeuml7du3jxgxQq1Wd+/evbS0FCG0Y8eOuLi4oqKikSNHrl27dvXq1U3wBzeCHiFo9byk2KlR5KLLdPc91O/9iQizl3CShA02vxZcIue5t5dU33V7Dss+XjbN5YNfMZKHEJL0GlFdRkHH0KItXzLKUlxaeWZvpDz5p7jnQG5tDbq0UJ0YLxsUZ36bQZ0Ubf2yytW4EE44vf7pk/kTGDrv24WIqmIOZMLexeGl97jXVH520eaqH8sRduohHzGjcrpOp7t///748eP9/PxM0wMDA7kQUlJS8sH/t3efAU1dbwPAzx3ZCXsPQUDAxRQUQcFtFffeq2qttdpqq61a7bDV1te2trW1to4Wa9W/4kYFFVdVHIAiooLgYKrsJCS54/2QNqUQhpqQkDy/T8nJyb3P5YY8ueM8Z+XKR48ekSTp4eGhruSZmpp66dKlJ0+eCIXCoUOHhoaG7tmzZ8qUKWvWrDl27Ji67uiTJ082bNiwdevWwMBAhmHGjPn3XuU5c+bMmzcPIZSRkXHy5Ml+/f79j8AwbPLkyTt27FBXHP3tt98+++wzhNDq1atXr16tPqDs0KFDZGTk+++/jxCSy+VxcXHqwjTr1q3r0aNH//7969exe/jw4d69ex8/fmxnZzds2LDU1NRt27api7r1799/+fLlmkW9+672Ovj6AIkQmAIujr7pRvR2ZoYlUvPa4x8FE7geytbbzfnk3/meGodhhI2jIucW36+x8hwIIYzD5fuHyuvcUIoQQoiRVkpTEh3f/1H9FOcLq5L2iLoPxoXiF48dNM1y8HS6qqx+O8bl/VtFCCdsJi5mamT1uxGif3/KkHYu1uPfqT1N5r8vWTtoXTuPx/v0009DQkI6duwYGxv79ttvqytQa2py2draent7qwt12tralpWVIYTu3bvXvn17TXHq0NDQu3fvlpSUVFRUdOny98xiXbp0aejSoGbh9vb2msqiGjNmzAgODt64cePdu3eLiooGDhyIEMrIyMjLy/vxxx8RQizLlpSUqIu6ubm5qbMgQui9996bPHnypk2bBg4cuGDBgo4dO2qWee/ePQ8PDzs7O01smlOmmrGSDg4OpaWlWgPWE0iEwHQM9cCD7bAJp+mLxVRcDOnYxGxIL+yFblcRdAivuX2lyUSIEBIERkmvnKifCBFBWo9/R3MmFuMJeH4h8psXRd0GND8M0HyElR1hZddkN9LetellYRjH9YWnFlm2bNmiRYuSk5PXr1+fkZHx559/ov+Woq5/2czS0lJ9alGtoqLCx8fHwsICw7CKigr1HPcVFRXqC4cYhrH/nXOj8etwbdu2DQgIiI+Pv3r16pQpU9RVvC0tLb/++uvax45qtWt8R0ZGPnjw4ObNmzt37oyKilJPkahmZWVVJ2DNRc0Wm3SpPj1eI3z+/Pns2bP9/f3DwsIOHTqkvxUBoOEuwpIHk5GOWPhB6kJRy80tVx+/Y9eazJTqi0fkt/5qomf7LsrcO/VHR+B8oaBzRO0WYUi07EaybuMERkImkz1+/JjP5w8cOHD69OnqS2tN6tq1a0FBgXpKgwcPHhw/frx///4CgaBnz57qo0CZTLZ169YBAwYghGxtbfPz89l68081Yvr06Vu2bPnjjz+mTp2qbhk5cuT69evV1bQRQllZWfXfdffuXQzDAgMDly9fLpPJas/A1alTJ4Ig9u3bhxAqLCzct2+fOjbD0mMinDp1qlwuP3fu3P/93//NmDFD698LAJ0jcbQ6hPi1BzHuNL36Bs0YKBtyXNqyNF15eCtp38T9OBhPwGsXUHM7pfFuCCF+h3DVk/t0pZbTd6C1q6qqioiI6Ny5c2Rk5KpVq9ST6zbJ2tr6999/nzJlSkhISLdu3dasWaOej2LLli0HDx7s1KlTu3btOnfu/MYbbyCEhgwZwjCMs7NzZGRkM6MaO3bs9evX27RpExAQoG758MMPvb29vb29u3Xr5unpuWbNmvrvWrFihYeHR1RUVOfOnZcvX+7o6IhhmHrGJYFAsHPnzsWLF4eEhAQGBr799tsxMTHNDEZ/6h4p64pUKrWwsMjOzlYXo5s5c6aVldWGDRu0dh4/fvyIESPGjfvPXQDmOR9hVVWVUc3Z1gKkUmn9+Qh14omUnXCG5uEorhfppOvTpM1Rvvd76lmB3bzP67QzDCOXy9X3vqvJribJb/5lO+ujf3rQjKxa6+0zpTvXc93bNT0kkaGlKYlaTrcajrF9th0dHW/duuXgoP2KnaEUFRXRNO3k5KR1CsCGsCxbUFDg6OhYe6o/hNDTp09FIlGd6W11QqVSFRQU2NvbN7TwqqqqZ8+eOTs7N/Qdrn57MydNRAh9//33d+/e/e67714y4kbp64hQXW5cs1dIkszIyGj8LQDolpsIOzOIDLfHwg5QZwsNcGAo6T/BatzC5vTkd+7Ocfu3rnfVqb2VJ//Q2lMYEi1LPdvIolQFuU83LkEIqzy2g3rarNNrwHg4OTm5urq+UBZECGEY5urqWicLIoQaSVSviMPheHh4NLJwiUTStm3bRo5kXFxcmp8F9e2Vbpa5ffv2vXv36jSKRKL+/ftLJJLu3bt/8cUX33zzzb179/bv368ZuVLfrVu3jhw5oj54RwhZWFjcvHmTZVn1QeGrRNjqSKVSA14xNgiZTMYwjP62+sP2KNIGn3SGM9WLWtqRJlryr0vwEMFD1XUv/jEMU1NTU/e2hchhf19KUSmqzh0Qz/qkut4bEULI1Zd6WlD5JBe3ste6Tmn8ZrJTRLVMRnaOKv/rOL+PsQy3MLbPtp5OhgH9UalU2v8pGsXn8+v/RKjjlRJhamrqwYMH6zQ6ODj0798fIbRz584FCxa0bdvWy8tr/PjxOTk5DS2nY8eOixcvHjFixN8xkaREIjHPU6Msy4rF5nVzPIZhejo1qjFYjG64oCnJ2IhznLhehIvQwF/HDMMQBFH71GhtVaeP89sFWXj6Nvj2qFievJLnpmUGHMX9NLb8qU30MIwged0HPt/6qXjozIYmymhhxvbZNqqs/KIoilIoFA19hEwVh8PR00folRLh5MmTJ0/WXi8DIeTh4aG5WXTixImaa6314TguEomsrZs3QguAF+cgQMdfI79MZ0LjqW3R5EA3I/0SZFXK6rPxdm9ouQFBw2JgA/90LFtx6FfL2OkYQSKEOK7eGE+gyL3N8+qkj1CBASUkJKxbt05T9gW8Ij2OI8zOznZzcyNJ8n//+19CQkJqanOrGwOgDxhCSwPxrg7YlGR6pCe2vivBMbIKg9UXjihzM7me7bVWJW2SLPUswnBBQJSmRdiljywlCRKh6enatev69esNHYXp0OM3waFDh2xtbcVi8RdffHHkyBFPT0/9rQuAZopxxm6MIO9Xsn2PUflSI7tKxNCyG2cs+k94ibeyNFV5bIfl0NdrnwgVhvaS37wIExm2CuXl5R999FFGRsbs2bNff/3169evq9uzsrKWL18+YcKEt99++9atvycae/78eVpaGkIoLi7u3LlzmoWoK4IihFQq1XfffTdlypT33nvv8ePH9Vd34sSJGTNmjB8//sMPP1SXcfnyyy81gxcTExOPHDmCELp79+6mTZsSExOnTJmyaNGi58+fZ2RkzJkzZ+7cudnZWmafbqX0mAjfffddqVRaVlaWnp7e/GErAOibPR8d6U8OdMe7HKCOPTaiXCgI7mkZO5Pj6t10V5atStpdu0F68Sjp4M7z6Vy7kbC05bbxrcm43Jy1w3yHhlVZWbl27drly5cPGzbM39+/f//+6tJlmZmZ3t7e8+bN69ixY+/evdVVWrKzs+Pi4hBCCoXi448/Vi9BLpcvXLjQ1tYWIRQbG3vjxo0ZM2a4ubl1795dXY9NIz09fdasWcOHD1+wYIGbm5t6RT/99FNxcbG6w4ULF9RTFebk5KxcuXLXrl0TJ0588uTJyJEjP/zww2HDhllbW6tHJbbcH0if9F5iTSAwxAAuABqFY+iDQLyPCzbhNH2iDfZVV4JrBKdJCYm1pM+YpvshhDBMeuk437+LZtCF7Npp6wnv1O8o6j5YmZcpCK47UXAd1PPCZz9+6LR8q5HcWWMQH51fe7/0Qf12Eid/fm2DgOSr+8ipmq96rUYI0Sw969giBaVl0hM3C5fafbo6h8wLmYEQelT5ZOmZT9R9VkYu6WD3n1uiVCrVpk2bXF1dY2Njd+zYcePGjejo6JEjRzIMU1xc7ObmlpiYePTo0blz52reMm7cuHfeeSc3N7dt27bx8fEdO3b09/c/d+5cXl5eQkICjuO9e/e+evXqnj17ar/r4cOHDg4OPXr0sLGxafIohcPhbN68WT1eomPHjrm5uZ6enq+99tr3339fWFjo6tqMgnNGD2qNAvMVbo/dGEG+fp6OPETt7kN4SVpTDhCERMtSky3/SYQO736rvVtAd0FA9yaXRto6Y3yh4n46zzdIl1G2KovD35SqtFTT5uCkOguq+7Do77MIBEas7/2xktZy5lnIEdTuo3l7Gwu3DX0+VS/BSVR3xnahUKjJK5qy2seOHXvrrbfatGlja2t769atzp3/c9AvFouHDx++c+fOFStW7NixY9q0aQihzMzMkpKS8PBwdZ/S0tI6M1oMGDBg165dbdq06dq16/jx42fNmtVI0VEPDw/1gD8bGxsOh6O+yIXjuKWlZVlZGSRCAFo9Sy7a04fYmMF0O0h9150Y52UEB4bNIwyJebblI8vYVx0doXx0D+cJSEd3UbeB0isnzDkRWvIsLHlNTIBcp4OdoOk67HX6OIvr5j8Nrdno7bff3rp1q7oO2aRJk+oPf5w2bdobb7wxY8aMv/76a/fu3Qgha2vrTp06nT9/vqEV8Xi8Xbt2VVVVHTlyZMWKFRwOZ/r06VwuV6n8O6lXVFRogqkdVasec9KIVvNvD4CeYAgt7IQnDCSXX2OmJtPyVlLCgePsiXMFyrw7r7IQVqko3b6GllYihIQhvWruXGVkcKXQuCgUCvWluKysLK2zF/Tq1YuiqDfffHPo0KHqmRz69Olz9+5d9d0uCKGioqLCwsLab8nLyysvL5dIJBMmTAgJCXn69ClCyNfX99SpU+ifWtj63i6jAokQAIQQCrXDbowgVSyKPEzdrzCiO2gaIQiNqUzcVZnwe5M9a7Ku05VaJnirOrWb69me59URIYQLxXz/LjC7haHgOK6ZkAghJJFIuFwuQujzzz8fPXp0QEDAzJkzR48era4xwuFwNKPpcRyfNWvW+fPnZ8yYoW6xs7M7cODAihUrfHx8fH19e/bsWVBQUHtdaWlp7du379Spk7e3d2Vl5ezZsxFCq1ev3rRpk4+Pz9ChQwcPHqy+vYPD4WgqxOI4Xnu0t6Wl5YuWgjNa+iq6/UKg6LaGsRUmbgH6K7r9cn68w6y6Tn8bQUzw1mMl3jpFt18O9ayg6LOZlsPnSGJGNt6z4sg2xDKWQ2b95+3PC0s2LHR8/0fNlIeKe6kVh7c6LNZLXWNj+2wbZ9FtrVQqVUVFhWYy2+arqqrCMKyhaixPnz4Vi8W172dkWfb58+e2trbG8/+o0SqLbgPQSs1rjyfHkp+nMVOTaalxnyYl7VysRr8ljhrSZE9hWB/Z9TPov796K+I3S3qP1mRBhBCvXRAjrVTla7lzEhgQh8N5iSyIEJJIJI3UJLO3t69zVz+GYXZ2dkaYBfUNEiEAdXWwwlKGkXwSdTlA3Sw1/CmTRoijYjGy6RL+HMc2hMRGcT9N01KTeVVV8kRc51ASw4Th/WTXT+s8TgCMGSRCALQQkOjnKOKDQLzPMerbDFMYNSwM6yO9mqR+zFKq8vifrEbOU1clrU3Se7QocnCLRweAIekgEZaVlS1ZsiQmJsbb21tdqkdNLpdPnz7d2trazc1t06ZNr74iAFrY1Hb4hSHktnvM6FN0eSuvUyYMiam5fYVV1iCEqs8f4jh58P1D63fDuHzS1rk5Cyzb/S3cWQNMgw4SoUKhEAgEM2bMePDgAU3Tmva1a9fm5eU9fPjw+PHjK1euvHr16quvC4AW5meJXR5GugpRcDx1ucSoT5M2Dhdbctt2kqdfRAjxfYOsx739csthVcqqU3sQQvwO4dXntdzND0Cro4NE6OTk9Omnn8bGxtZp37p167JlyywsLDp16jR+/Pht27a9+roAaHl8An0bQawLw4clUt/dZlpvMhSF9ZFdO4UQ4rh642KrRnoy1RUsrf1OoaqTu5SP7yOEBB3D6dJiVWGe7gMFoGXp6xqhTCZ78uSJphpQ586d689lD0ArMtYLvzSU/D2bGZlIl2qpLtkK8Dt2pUqLEUM32bPqzP+qTu2t364qyK2+lGA18k2EEMIJUbeB0ksJOo8TgBbWrBJrVVVVf/zxR/32QYMGubu7a32L+mKhZtiQpaXls2fPGlp+enr67t27x48fr37q6Oh49+5dlmXVQwmbE6HJkEql5nbvskwmYximVWy1A4ZO9kJfZhLB+8lfuqki7F/yJhqGYWpqagwyhFe88Ntqmbzpfn5h1bvW4xGx/6nfxrJVu77m958oxzmouhohhAJ6SH94j4gZi3F5TS7S2D7bfD7fz89PryGxLGtUm9wy9LTVCoVi9uzZ1dUvXPmIz+eTZBOZrlmJUKlU3rx5s357VFRU/UY19aiXyspKCwsLhFB5ebm9vX1DnQMDA1evXg0D6hFCLMs2Mu7HJGEYZlQD6pv0eTfUy52dcQ573Q/7KJjAXzxwhmEIgnj1AfV65BtQI5Rwih7w2gVq2qqS95M8vk2PIf9mR7FY6dmeyL4hDO/X5CKN7bN9584dhUK/h/Y1NTUkSTb5LWxiqqur9bSjxWKxuvy3zjVrD9na2v7www8vtFw+n9+mTZubN2+6ubkhhG7duuXr69vkuwBoFfq5YpeHEpPO0OeLqLgY0llo6ID0QNS1v/TKCU0ipEtLqpJ2Oyz6uk6Nb1H3QVWn9jQnERoboVAoFOp3z8nlcg6HY26JkCRJoyoh1By6uUZ448aN9PR0hFB6erpmYuWZM2d+8cUXZWVlqampf/7558yZM3WyLgCMgZsIOz2Y7OGEhcSrjj9pvTfQNEjYpXdNZsrfs/WybNnubyS9x5B2LnW6CTqE02UlquJHBggRAB3RzU+VefPm0TQdGhq6bNkyHMdTUlIQQsuWLSsoKPD19ZVIJF9++WVoqJZBSwC0XgSGVocQPZ3wqWfp6e2w1SEEaUIFKnChhO8XKruRLI6MVWSnM7IqScwIbf1wu9kfk1YNXvhACCGWfb59DR7cCwU1MQcsAAahm0R45cqV+o08Hm/z5s2bN2/WySoAME69XbAbw8lpZ6lex6g/ehHuolZzsbNJwq79K4/tEEfG8rwD7N/6EuHapxrguHo3vhzppQS6tITj2UEPMQKgAyb0CxYAA3EQoGMDydGeeGg8tTfXFOqxqfH9QujqcuppPsJxjCdo+g3aUM8LK47tsJ68BCNIxYMMGHcIjBAkQgB0QD2777GB5AdXW9Psvk3AMIe3N5C2Ts3pq31GX4Yp27neot8EjmMbhBD9rLDi8K+6jRGAVweJEACd6fLP7L5RR1rN7L6NI6zsGjojWkfJt++qCnLrNFad+R8iOOKew9RPBcHRykf3qeeF9d4NgCFBIgRAlyw4aFcvYmFHvMdz5OsSAAAgAElEQVQRKi7bdE6TNkkY3LNOlRlV0cPq5Hibie9qRlxgHK6oaz/pxaOGCBCABkEiBED3prbDT75GrkljZp4z9tl9dUXUbYDsRjKr/HuIOktTpb+ttRw6i7D+zxTwou6DpCmJrKqVz+UBTAskQgD0IsAGuzacZBEKM/rZfXWCsLLnenaQpZ79+zmlEnbpIwzrW6cbaevMbeP3b7eGKXJuMdJKnccJQH2QCAHQFxGJtvUkPgnF+yeYyOy+jRN3f0361zH1Y4wnkPQerb1b1BDphcONL0pVmPfsp+VVSbt1HCIA2kAiBEC/RrfFLw8l/3zAjGi101Y0E799GF3xXJX/oKluXRhplfJRg9PRsEpF6Y7PJX3HSVMS1TMJA6BXkAgB0DtPCXYulvSzQiHx1MVi0z1NiuOiiIGVx39vYqYnDJMMmEg9zW/o9fL9P3LcfS0GTBLHjGBkVbqPE4D/0k0iXLVqVUREhJ2dXVxcnKYxMzNzzJgxXl5e3t5NFJ4AwORxcLQ2jNgYgY9Koj5OZVrx9L6NEnUbyMirWbqJKQ9F4f2Eob20viS7kazIuWU9ej5CyKLfBKLx4m0A6IJuEqGbm9tHH33Upk2b2tOaYBjWv3//Dz74oLy8XCdrAaC1G+qBXx1Oni5EI8+SJc2YFrDVISxt7d/6CuNwX/L9LFtx6Ffb6R++dCEbAF6CbhLh7NmzX3vttTpzmrRv33727NkdOkCBQQD+5S7CTg3EQ23ZkANUUr6JHhi+NAxzWrG1yeKlAOiWUVwjpGm6pKTkwT9KSkoMHREAekTiaGVnOi6GmHGOXniJVpn+/aTaSS8lKPOy6jRiZN2ZV0t//xKK0QC9au7sE5s3by4uLq7T2KVLl0GDBr16EFlZWWfPnt2wYYP6qVAovHjxIsuyFEWpVKpXX34rUl2trWCjSZPJZDRNt6IZ6l8dwzA1NTWhYuZ8P+yNK2TEAWpbd5WnyMSPDut/tpUqqurYb6IpHzT+RlpkWZr0P8Gg6fqKTG/Mc2JeY/sS4/P5Tc5rbxR7qGPHjitWrBg3blztRoqiKIri8/mGispQWt3kzq8Ix3GhUGhuiZAkSZFIJJGghMFoYwbTJwn/rjsxzssoztDoT53PNhsxoPBknEBZjZHckm/fcVq6WeulQWGvEcXr3xIPf73xC4eVR3cwCpnVyHk6DvoVkCRphokQtcIvsebuoblz5+o1DgDMk3raikgnbMJp+ugj9qcoQmg2X5sYhysK7ye9cET5+L4o4rWG8hxh7cDzCZSmJIp7DG1wWSyrzM9R5t2R9B1PWFjrK2JgonTzC/TmzZtJSUnl5eV37txJSkp69uwZQkgulyclJV27dk2lUiUlJV26dEkn6wLA9HSxw64NJ5UM6n6Iyio38XOktYkiB1edPYBw3KLv+Ea6iaOHVZ87iNiG/zIYZjfnE2FItPRiEzVrAKhPN4kwPj5+3bp1zs7O6enp69aty87ORgiVlZWtW7fuyJEjXbt2Xbdu3S+//KKTdQFgkiy56M/exFsd8Z5HqG33zOX+GdLW2WroLJvJ76NGz43zvDphPH5N1rXGlyaOHiH9KwEqeoMXpZuzMKtWrarf6OLikpiYqJPlA2AmXvfDoxyx8afpo4/ZX3oQVi87Hq8VEceMbFa3nsOrzx3ktw+r016TdZ3vH6p+TNq7ctr4ya6dEkW8puMogUkz8YvzALQ6/lbY5WGkqxAFx1OXSszoNGnjhMHRqic5dQqzVSfvr0z4vXaLpNfI6rPxjZ1EBaAeSIQAGB0+gb6NIL7uhg9PpFbfoE21HtsLwThcmynv4wKRpkWRc6vq9F7baR/W7sbzCUAkp+ZeaosHCFoxSIQAGKnhHvi14eSpAnbAcarIFOuxvSiebzAutlI/pitLS39baz1xCWHjUKebzeT3OU4eLR4daMUgEQJgvNxF2JlBZJgdFnaAOl0AB4Z/Y2mqdPsaUWSs5upgbRwnD8LStumFKOSqwjydxwZaI0iEABg1EkefhxG/xRBTz5p1PTYNVqWsOPQLJpBY9GtsxEUTGOb59s/laed1FxdoxSARAtAK9HLGUkeQOZVs1GHqQZVZHxo+3/ZZze0Um8lLGh9xwVSXszTV0KsVh39FDG0xYKIeAgStj9kUsQCglbPno8MDyI0ZTLeD1MYIYry3mf6KtYydgXG4uEDceLeqM/swkmvx2pT6L0lTEuUZlx3e+RbhhH5iBK2Mmf4vAdAaqeuxHRtIrrzOTE2mZQ0e8Jgyjktb0t61yW6ibgOlfx2rP7hemZtZcehXu9dX40IxQohV1igf39NLoKD10G8ipGn68ePH6oprAACd6GKH3RhBMgiFHaBulZr1adJGaAbX126ky0qeb19jM2kJ6eiubmGqK59tXskqawwRIzAWukmEq1at8vf3x3F8zZo1msaffvrJ0dGxZ8+e/v7+PXr0qD+LEwDg5Ug4KC6GWByA9zlG/XrX7O+faYAkZkTVmX2awfWsSvl822eSXqP47bto+hA2DjyfAOnlEwaKERgF3STCsLCwHTt2DB48uHajj49Pampqbm5uQUGBhYXF8uXLdbIuAIDaTF/8/BDy+0xmVBJdpjB0NMaH1y4Q4/Bqsq6rnyof3uV6dapf0U3Se3T12XjE0C0eIDAWukmEsbGxXbt25fF4tRv79u3r7u6OEOJyuX369Hn48KFO1gUA0PCzxC4PJd1EKDieulgMp0nrksSMqD4br37M8+lsNXxO/T7cNn6Etb0s/UKTS2Mp85on3Hy0xM0yKpVq165djcxlr1AoHjx4cP0fmZmZLRAVAKaBR6BvI4hvI/BRSVCPrS5BSIyqMK/JgfOS3mOqT/+v8T6qooeFH01U5mXpKjZgPJo7fOL777+/c+dOncbAwMA5c7T8wqqNZdm3335bKBQuWLCgoT65ublpaWl79+5VP+Xz+QkJCSzLqiepb2aEpkEqlZrVXO0IIZlMxjCMWW01wzA1NTWsTgtD97FFZ/uhWZc4yfnUlm4q58bmcjcMQ322ud1eK798UtCv0SGD7u1phbz85iXSq7P2Dgxd+dMK3N2v7MRO0aSlzVy1XC43wxnqje1LjM/nN7kLmruH2rZty+Fw6jR6eno2+cb33nvv+vXrSUlJjYTi7+8/YsSIcePG1W5UZ0E+n9/MCE0Dy7JicRMDpEwMhmFCodCo/nP0jWEYgiBEIlHTXV+EnxidHYrW32SiE/FfepCD3I3rT2qoz7Z44CSWoTGiie86rM9Y+aVjVgERDXXgzfmEtHct+nQ6r7qU49SmOasmCMIME2Fr/BJr7h6qcyNMM61YsSIpKen06dMWFhYv8XYAwAshMLQ0EI9wxKYk0+O8sDVdCA4MFcawJrMgQkjYpbfsahJLUw115ri0RQiJew6rOrXHZtISHQcJDEo3/yU3btzYu3fvkydPMjIy9u7dm5ubixD6+uuvN2zYMHfu3FOnTu3du/fECbhBGYCW0NMJuzmSfFSNuh+isivhmmGzYARp/9aX9bNgnRtkRFGxNZkpdGlJC4YG9E43iTArKyspKSkwMNDCwiIpKSk/Px8hZGFhMWXKlLS0tKSkpKSkpEuXLulkXQCAJlly0Z+9iQUd8ajDVFw2DDR8SVVn9pXGfVm7BeeLRN0GVp3db6iQgD5gur1i/3LGjx8P1wjVqqqqJBKJoaNoUVKp1AyvEcrlcp1fI9Qqs5wdf5oOssE2RRLiulf5W1Sr+2zL08+Xx//ssOhrwsqudjsjq1LmZvI7dm16CWZ5s0yr29EIao0CYNo6WGEpw0hrHgo9QN14Zvhfvcav/H8/MDUyZW5m2d4f7GavrpMFEUK4UNKcLAhaEUiEAJg4PoG+jSC+CMNfOwEDDZvG1Egrj2x9vu0zm0lLOK7er7IoRcpJ1cO7ugoM6A8kQgDMwkhP/MpQ8uQTdshJqkRu6GiMmKTX6OqLRy0GTq5dklQrRl7dyKvSKydlSX8qc2/rNDqgF5AIATAXnhLsXCwZZo8FxauOPYYDQ+04rl6OS38SdW+wEpYaXVZSvG5eQ3P/yjMuVx7dbjHnM1G90qbACEEiBMCMkDhaHUL80Yt84wK98BKtgELT2nCcPJrsQ1g7cJw96kzzpKbMyyrf863t7I8JOxc9RAd0DxIhAGYnxhm7NYoslqMuB6iMMjg0fEmSPmOrTu1F/73xXlWY9/zXj60nLuG6tzNUYOBFQSIEwBypBxq+F4D3Okp9mwEDDV8GzycAF4rlNy9qWqjnRc82r7Aa9SbfP1TTqCp+VB6/2RABguaCRAiA+ZraDk8eTP56jxl3mi5XGjqaVkjSZ1zVqT2apzV3rloMmCQI6lG7D2njJE89qyqCeeiMl84SIUVRubm5NTU1tRvz8vIuXryYmZnJMPCTEwBj1NEaSxlGOgpQSDx1qQROk74YQadurFKhuJemfiqOGiKKeK1OH4zDFUcPr50vgbHRTSLs3r27RCLx8vJKSUnRNL7zzju9e/desWLFoEGDgoODi4qKdLIuAIBu8Qm0MYL4KYoYc4pefYOmIRs2H4aJe49uMsmJo4bUZF6lnhW0TFDgRekmEa5aterRo0cODg61Gz/77LMHDx6cOXPmwYMHDg4O33zzjU7WBQDQh/6u2PXh5OUStt8xKl8KybC5hKG9qGeFdMXzRvpgPIE4KrbqzL7GF0VXPH/6w1JkBGUvzY1uEuGAAQPs7e3rNGpKKeI47ujoaFbFJAFojRwFKGEgOcwDDztIHX4ElzOaBSNIxw9+JixtG+8m7jlcnna+8XxJWNqyNTJ5xmWdBgiapt9qsGlpaXFxcXfv3kUIffvttw11k0qlt27dsrX9+5PE5/OjoqL0GhgAQCsMoYWd8AhHbOIZ+sgj9ptuhMC8Ska/DIxsupw5LrIQhvWtPhtvOfT1RrpJ+o2vPLFT0KkbgiOHFtTcz/ikSZOUyrp3lU2bNi02NraRd4nFYh8fH4Zh9u3bl5WVFRkZqbVbYWFhbm7uX3/9pX5qYWHRuXNnlmXVE1A0M0LTIJVKze3QWSaTMQxjVlvNMExNTY0xTPzSkA4CdLYftiCFjDhIb+uuaifRQahm+NmuM/sEHj6w6vvFeORQjCf8T7fjv+GWdryIQQgh1DaAUe0oS7vIaRfU8gHrhLHtaD6f3+QEIM1NhOPGjaPpulUo/P39G3+Xj4+Pj48PQsjJyemjjz46dUpLFQZ1N5iGSY1lWbFYbOgoWhSGYWY4DRNBEC0zDdNLEyO0fwDaksX0P4V9Ekq80R5/xT1khp9tgiD+Mw2TWMybuZJrZVN7+t/KhN+ZvNu289fhgr//OHj/CdILB62DW+tZsda4o5ubCIcOHfoqq+Fyucb8+xcAoNVsf7yPKzY1mT6Qx2yLJlyEZvR7RR94PgG1n1afPSC7kWz/9npNFkQICYOjK4/HKR5k8Lw6tXiAZko3p/+3bt369OlTmUz2xx9/XLp0afbs2TY2Nm+99VZQUJCDg8OdO3fWrVu3adMmnawLANCSvCRY8mDy/24xYQfoHyLx4R5QhUM3pFdOVJ3d77BgPSGx/s8LOC7pM7bq5C7eG2sMFJrZ0U0irKysLCsrmz9/PkKorKxMfRI1Ojo6MTGxtLTUxcXl8OHDDV0gBAAYORJHSwPxGGdsyll6fy5r8MnuWzvqab7iwe3KhDj7BV8R1g71OwjD+lSe3Kkqetic8t/g1ekmES5atKh+45gxY8aMGaOT5QMADK6rA3Z9OLnkCh2wn/otmohygtOkL6nyeFzN3VSHBV+Rtk5aO2AEaT//S8LKrvHlUE/zKxN+t560pPZFR/AS4M8HAGguCQdtjiL25zFjTlFz2+MrgwkCsuGLsxz6uoVKSdo5N9KnoRypQZUWP/3xAwzDZSmJ9eu6gRcCp/sBAC9mpCd+YwTnr2I25ij1qBpugnthhKVt41mwSXT5s2eblkl6j7WZsrTy5K6G5gcGzQSJEADwwpyF6MRr5GhPvMsBalcO1KDRF9WTbLqqrE4jq5A//WGpKGqIOCqW69me4+Amv3HWIOGZDDg1CgB4GeoaNFFO2IQzdMJj9scoQgRfJ7pWk3VdVfLEZuLi/7RiuOWQmYKAv28/tK7zKnhxcEQIAHh5oXbY9eGkgERdDlBpz+E0qY6JomJrMlOo5/+Zugfj8jRZECFEWNo2WekUNA4SIQDglajvoPkkFH/tOPVtBgPJUIdwvkgcMajq9F6EEGJoBBO76gckQgCADoxpi18YQu7MYYaepIrlho7GhIhjRsjTzlNP859+/74stcFrgYy0UlX0qCUDMyWQCAEAuuFtgV0cQgbZYkH7VbsfwLGLbuAiC1FY3+L1b5EObsKQmIa6UU8Lnv+yCjF1K0KD5tBZInzw4EFqaqrWl9LT0x8+fKirFQEAjBYHR5+GEideI9emM0NOUoUyQwdkEsR9xkj6jrUet6iRuZm4nv6EtaP0qvaJDdTkNy8+27JKDwG2ejpIhJcvX7a1te3cubPWSQTj4+NDQkLWrIGieQCYiwAbLGUYGWqHhR5Q7cuFQ8NXRUisLfpNaHKGQstBU6oSdzV0UCi7kVy25zuLAZP0EGCrp4NE2K5du5SUlHPnztV/qby8fNWqVePHj3/1tQAAWhEOjlaHEPF9yRXXmbGn6Gc1hg7IDHDbdiSsHWTXTtd/SXb9dMXBLfbz13Lb+LZ8YMZPB4nQ1tbW29tb60sLFy5cvHixo6Pjq68FANDqdHXAbgwn3cUoKJ5KKIA7EvTOYsDkypN1DwqrLxypOLrd/q0vOc6e6hbFvVRVEVyu+pceR8AmJCQ8efJk6tSpixc3Md6zvLw8KSmprOzvAgqWlpZjx46l/6G/CI2Q2W6yuU3Maz47mouhL7ugYe7YtLOclDLq8y6Y+ZQnpWkax/GW/GyTbTvglrbVKUmCsL7qlurk/fJLx2zmrcVsHDUfOVXFc+nhbXYLNzR5uvUlGNtnuzm7oFmJMDU1deHChfXbf/vtN09PT61vqaysfOedd44ePdqcD0FlZWV2djbzzxAZHo8XGxvLsixFUWb1/YgQUiqVCoXC0FG0KIVCQRCEWe1ohmEUCsW/E5ebgS5W6ERP2Zupkr4J2O+RtD3fLEYbKhQK9Y+ellwpv/fYqvgf8U7dEU7UnIuvuXbK4vVPaZEVXeuLBe8QwZ4/XHnpOC+0t84DMLYvMS6X2+T/WrP+Fb29vdeuXVu/vZFzntu3b+dyuVu2bEEIXbhwQalUbtiw4d1339XauU2bNiNGjBg3blztRoqiKIri8/nNidBk0DQtFAoNHUWLYllWKBSaWyLEMMzcdrQzTZ8YzFt+je55Et/flwi1M/09jmEYh8Np6V88HcOYOyk8RkWIJQxfYLnw/+pO/IsQQogcM//5Lx9bhvXG+Tr+HLbGL7Fm7SELC4vu3bu/0HKjo6M1Oez69es1NTVubm4vHB0AwIQQGFobRgTbMgMSqK8jiCk+cNVQL6xGz1c/EMeMbKgP192X375L1ck/LIe+3lJxGS8d/FSprKz8/PPPi4qKVCrVsmXLbGxs3n///cDAwMDAQHWHrKys6urqsWPHvvq6AACt3TgvvL0VNjyRvvaU3dANZjQ0GMvYGUVr54q6DSQdzP0oRQe/yDAMs7a2bt++/aeffmptbW1hYVGnQ2xs7MiRDf4wAQCYmwAb7Opw8k45O/gEVWZEl5PMCy62kvQdV35gs9ZXWZqqOrW36Is5iDX9C7o6OCKUSCRLly5tpEPv3rq/HgsAaNVseejYAPL9FDr8IPVDJNHfFQ4MDUDcY6j0UoLiXirPN7h2uyL7Vvn/viNsnOzmfKyPO0uNjRndtwYAMCokjjZ0I3q5MIsu0Y4C9HkYEeFg+t+5RgUjSLvZH2NcgaaFriqrOPSLIueW1fA3BAEvdmtI6wWJEABgSEPa4IPd8X15zJRkuq0EfRlOBNtCOmw5pJ3L348Ypvqvo5XH40RdBzgt+xnj/nvHvjLvDreNH8JN9uYmSIQAAAPDMTSmLT7MA998hxl8gurljH8civtYQDpsUaVx6+jKMvu3vuI4tanzUsWx38TdBwmCehgksAoleixlH1WjJ1L2iZR9VI1WBOv44wGJEABgFLg4WtARn+mHb7zNdD9EjfDEPw0lHARNvxHohNWYBThfpPWKoLj7oOoLh/SdCEvkKK+azatic6v+fvCoGj2WshhC7mKsjRi5iTA3EdbLBTkJdPwjCRIhAMCIiEj0QSD+hj/+RTodFK/aFEkM9zDZM3LGo1qFcuWi0nJUqmBKFahUgUoVrPqBmwgNd4/wfbZZVZDLcWmrw5UWy9HBh8zxJ+y9CjaviuUTqK0E85RgnmLU2Rob0gb3ECN3MWbB0eE6tYNECAAwOtY89GU4McITn5pMH3rIfhNBtMC3odk6/oSddY624SEbHrLhYeoH1jzMQ4xseOh+JVp8le0vHBC29xA5YkE/V5xPvNLqHlSx8XlsfB6TWc4OdMPHtsU6WuOeEkxiuF0MiRAAYKQiHLC0keSSK3Tgfmp7TyLa2ZSvGt54xm66w5TI0eoQPKSl6s/V0GhpCn3wIburN9HTqcGVLg/CHxUOpr+Z81bqtCnJon6u+AhPLMYZcxJg+H/fJEtJlF5KkCzcUGcJMgpllbOHHjEH8tgiOTvMA18RTPR2wbjGcbQPiRAAYLxEJPoxkkh4zE5Kpsd7YZ91IV7xcKQlZVZgChaFOSJOw1/3NTTa84DZdIcplqO5/ngXOzTkJN3bBVvTBW8j1m86vFnKTjpDd7LB0kaSVtwmOrdxtintFLbbKrlmwPDDj5g/c9jFl+nnCmTPx5yFyFmInARYB9XjoYm/kCrF16k1jxWcYjnKl7HFcpQvZWkWeYqx19yxHyKJCIe66dPgdJMIWZbNzs5++PBh586dNZW4CwoKMjMzNX3Cw8PrF50BAIAmveaOpY8k512gww5Qv8cQQUY/vuJuBfvRdeZCEWHHYx9Uq0JssUhHrLsjHuGI2fL+7vOgit18h9l+nwm1w1YEEYPc/04Pk33w9bfokHjqdX/8g0DCsoEUpWJQylP2bgUb646/6C1FLELfZDBr0+n/60pMbnbFV3HUkNKd6516Dpvhi8/wRQgRFINKathCGSqUoZJqZei+r051nBZw/xhbkO3u0SHUDrmJcEcBchG1xHW+V6GbROjr61teXi6VSnfs2DFmzBh1Y0JCwocffhgQEKB++sMPP0AiBAC8HFse2tOH2JnNDDhOfd2NmOhtHOfU6nlUzX6Syhx+xCzuTGwKoywFHBlLXi5h/ypmNt6mJ51hXURYdwesSM5efcpO98X/GkJ6/3ckgJiDVocQc/zxVdcZv72q5UHEG+1x9TElw6LU5+yZQvZ0AXOxiPWxxLwl2JIrqkHu+PwOeDPLERTI2OlnaRmFrgwlPSUv8JOC27YDLrGinhWQ9q7qFhJHLkLMRYgQQuX7fqXbuAZOHvTsQH6ge6WgU/N2EMuWxn3FcWkrCIoibZ2bH4xu6SYRnj171sXFpXPnznXaIyMj9+/fr5NVAADAJB88yBbrdZQKssU6WBnXcWGJHH2eTsfdZ97sgN8bw7HkIrkcIYQsOKi/K9bflUAI0SzKKGMvFrEiDravb2N3nbgIsS09iIwy/P0U+rtMZlo7/Poz9mwh4yTAertgs/3wuBjchocQQuVKYvs9ZvpZWkSiNzvgE71xobbvdSWD7lWwl0vYldfoNzsQHwbhL1Hu3KHexT81Rl6tzLtjN38tQojXZ7xAImnmAhmFnCp5gvH4JV+/Q1rbCwKjBEE9/h3j31J0kwhdXLTHXVpaun//fkdHx/DwcA7HuI+NAQCtQUdrbF04Me4UnTKMFBjHTQ4VSrT+Fv1jJjOlHX5nDMe+4UlUCQwF2mCBNs1NQZ2ssWMDyKR89vAjZkxbbFMkx6neWVArLlrUCV/YCU/MZzdlMstSVFPb4TN8cRmF7pSzWRVsVjnKLGefSFlPMdbBGjvQj+yq61J2uEDssPi7l3kjX+iweCNCyHr0W4qcW/L08083LsYlNqLwfuLo4boNshF6/BzhOF5TU/Pnn3/evHmTIIjExMSG8mVJScmBAwdycnLUT4VC4ZtvvknTNEVRBNF6rozrgkqlUqlUho6iRak32dwm5jXbHa2TRU1ui5KeoAV/qX6M0MnyXt7dCvRjFvozFw1rg64ORW5CBiFGs5Xq7WVfefaGaAcU7aB+SDfyJ+zlgHo5oMdStOUeM+QkY89HfhbI3wpN9kLtrVBbMeLgLEJs7Qj14aV3NO7ZQeTZQTR0jjL3NlX0UFefFoIg8KaKwzU3Efbq1augoKBO4+zZs5csWdLQW6ZPnz5jxgyEEE3To0aN+uijj3755RetPSmKqq6uLisrUz+Vy+U0TTP/aGaEpsFsN9ncEqHZ7mhdLW1jOIpMwHdmMxO8dLXIF8CwKLkI+z4LXX+GpvigK4NZdxFCCNXZPoPsaFcBWh2IVgdqeUlXgdRcOcEL6YVxuAghVlaFCf9zIpRhGNWzQozk4BY2L7d80rMD6dlB83djpZWYUPLSk2A0mQVR8xPhjh076udna2vrRt6i+WojCGLYsGGbNm1qqKeLi8uIESPGjRtXu1F9OMjj8Rp6l0lSKpXmtskURfF4PDNMhOa2o3X72ebx0N4+bJ9jVIQL6WfZch+eciXacY/55jZjy0Nz/PF9/Rq7zscwDIfDIUnjOIGrO1VZ10i+QBTeT5F9q2znV86rfqv9qlKppNNPM9JKy6GvN74cVlmjKn7MdW/XeLfncZsYRY312AX6u3bY3D3Upk3dMqwvJCUlxdPT81WWAAAAtXW2wVaFEJPO0BeHkDz9X0KhWfT2JXpXDjPCA9/f16ynyBD3GFJ57HdBx66lcV9aj19UvwPX3bfyeFyTy5Hf/KsmM8Vm6rLGu9nOWFl97kDJN+9IYkaKe43CCN3/sNDNEkKngOwAABS/SURBVL/++uusrKyCgoKff/45KSnpvffe8/HxmTBhgrW1tYuLy40bN5KTk8+ePauTdQEAgNr8DvjpAnbpVfqbbnrPhMuv0VnlbPZYjo15HclrwffvUr5v09NNHwhDovn+ofU7cD38lPk5LE01nrQUObe4bTs0vT4cF8eMFARElf3ve9mNZOtxC7ke/i8dvPY16GQpISEhffv2/emnn+bMmdO3b18rKyuE0NKlS/39/SmKGjx48P379+sPrgAAgFf0a0/i0EP2wEP9Xofbn8fsfsD+2ZuELIgQQhgm7jEUIzkWg6drf50nIG2dVAW5jS9G8SCD593cvEDYONjN+UTSb/zzrZ+qnuS8ULxN0s0RYXR0dP3GoKCgoKAgnSwfAAC0suKi3b2J2JNUkA32QsPDmy+9lJ17gT4xkGxkXIS5EfccLooa0sgBH9ezvTLvTiPX/5jqcqaqnOPs+ULrFQZHCwOjEK7jEwBGWp0BAACaKcweW9KZGH+GVunhsPC5Ao1Kor/vTrRYIezWAcMaP+3J9fBX5mU10kGRc4vbtuPL3Auq6yyIIBECAEzAkgDcloe+uqnjTEgxaEwSNbYtNs4LvipfDNfTX/nwTiMdFDkZPO9OLRZP42DvAgBaPQyhtWHE5iyGafbg9TIFWnKFzipv7A2Lr9BCEn3WxbzKeugEx8GdkVUx0sqGOigeQCIEAACd6myDWXHRheLmZsK4bOZkPht9lJqSTN+r0PKu7feYE0/Ynb1IY5szqHXAMOsJizGe9nkxWIWcflbIcfNp4aAaAokQAGAiJnrjO7Obe3Z0+33m627Eg3GcLnZYzFFq7Cn6bq10eOMZu/Qqva9vg7MggSYJOkdgpPYS0xiHZztzpT5GBL4cSIQAABMx2Qfbl8so6KZ7ZpSxJXIU44yJSLSwE35vDCfUDos6TI09Rd+rYIvkaEQS/WsPsqM1HAzqB47zfIMNHcS/IBECAEyEqwgLsMGOPW76oHDrXWa6L6aZh0jMQUsD8ZxxnM42WNRhKvwANdsPj20DWdBcQCIEAJiOST54XHYTlwlVDPojh5nWru63nwUHrQzG74/l/F83fHkwfDfqQPn+H6mn+YaOomm62dnFxcVHjx79+eefKYqq3S6VSrdt2/bxxx9v3bq1oqJCJ+sCAICGjPHCTxcw5crG+hx7zPhaYj4W2g/4LLloTFu4P0Y3WIVccT+9TqPyYVbZno0GiachOkiEaWlpXl5ey5cvnzt3rlL57wewuLg4JCRkz549CKFz585lZGS8+roAAKARFhzUxxX/X25jZ0e332On+8IBX0vgevgrH9YdVl9z5xoubO4U9i1DBzftdOrUqaKioqCgwMPDo3b70qVLIyIitm/f/uqrAACAZprkjW28zbzupz3VPVegs0XMbzHa72YEusX1bF91Nr5Oo+JBhqTXKIPE0xAd/CwiSVLrhFsHDx6cPn36wYMHd+7cWVRU9OorAgCAJg1ug2eUsXlV2q8U/n6fGdIGl0AebBEcZ0+mopSRVWlaWJpSPrzbrEknWpC+hnGUlpaWl5cvWbIkLCyspqZm0aJFp06dCggI0Nq5oKAgLi7u2rVr6qd8Pv/DDz9kGIaiKLOarxUhpFAouFzzGrikUCgIgjCrHc0wjEKhML35WhvXkp/tYe7YznuqJZ20DpPHv+zCKhRU/Zd0TqFQMAxD080Yz2FC6uxowtVbmp3B9QtRP6Ue3SXsXFQYiRSKlomHJEmCaKI2ULP+Fe/cudO9e/f67UePHtXajhBiWRYhNHr06GXLliGEFi1atGbNmt27dzcUqFgs1sx3b2lpqY4bx3EcN69T+Wa7yWaVCJEZ7+iWWddEb/TWJfR+QN0PVVopKlOgaCcMb5HPG/6PFliX8aizyVxPf/rJfbx9F/VTVW4m16tTS/5NmvPd0qxE6Ofn9+jRo/rtQqGwobfY2Njw+XzNNEzBwcEXLlxoqLODg8Pw4cPHjRtXu1F9OMjhmNcpDA6HY56bbFaJUH22wzx3dMusq5cbkjPUnSoiwOY/n6udufQMP8TjtlDtUPVeNrdD/zo7WuDVofr8YU0L9fCOqGt/Y/vwNyst4zgu0aaR400Mw2JjY9PS0tRPU1NTfX19dRMyAAA0CkNoghdWp9yaikG7cpgpPuZ1fGZwXM8OrOqf0QQsq8y9zfPqaNCItNDBTxWVSjVo0KCamhqEUGxsrFgsPnToEEJo5cqV/fr1e/TokVwuP378+OnTp199XQAA0BxT2uH9EujPw5CmfMyRR0wHK8y7geGDQE9wkYX9gq/UjxmFnO8fioutDBtSfTpIhARBLF26tPZT9YOAgIC0tLSEhASRSLR+/XpbW9tXXxcAADRHeyvMno/OFbG9nP/OfNvvs/WryYCWhPOFNlM/MHQUWuggEeI43rdvX60vOTs7z5w589VXAQAAL2qSD74zm+nlTCCESuToXCETB8MHgTbw+wgAYJomemP78xg5hRBCcdnMcE8YPmgwytxMQ4fQGEiEAADT5CLEQmz/nozit/vMdDgvaigs+/Sn5VRpcc2da4YORTvzuq8XAGBWJvngO3NYTwlboUI9neE2GQPBMK6rV+WRbYjk8P8ZUGhU4CcSAMBkjWqLny5gvs5gpreDCSUMievZXpZ23ggHTqjBESEAwGRZcFB/V/yPbCZ7HHzXGRLXwx8xNM+7s6ED0Q4+HAAAUzbLD1cyyEsCB4SGxG3bkePqTdq7GjoQ7SARAgBM2QA3bIBbC9VUAw0hLKwd3/vB0FE0CK4RAgAAMGu6OSLMy8u7du1aTk7OyJEj27Vrp27cs2dPbm6upo+tre3rr7+uk9UBAAAAuqKbI8I+ffr8+OOPX3zxRWbmv6Mmq6ury/6xY8eOxMTEF1rmo0ePbt26pZPwWpHjx48bOoSWdvny5efPnxs6ihb19OnTlJQUQ0fR0szws33z5s0nT54YOooWVV1dff78eUNH8cJ0kwhzcnJOnTrl6OhYu3HmzJlr165du3btJ5988uzZs1mzZr3QMo8ePbpt2zadhNdaVFZWvuhfyQR88803Fy9eNHQULer8+fMbN240dBQtbdq0aXK53NBRtKgtW7aYW/pPS0v77LPPDB3FC2uJa4SHDh3i8Xh9+vR5oXepp/YF5sDc9rW5ba85g33dKjT3GqFKpaq/RwmCaGRKQo2tW7fOnDmzkZ55eXkbNmzYs2eP+qmFhcXGjRuVSiVFUTKZrJkRmgC5XM6yrFltMkKIpmmFQmFWW61QKGiaNqtNVpPJZGaVGCiKUiqVZrWja2pqGIYxqk3mcrlNzo3c3ETo5+dXVFRUp3HZsmUfffRR42/Mz89PTEz87rvvGuljbW3t5+cXERGhfsrj8YRCIUmSBEHweLxmRmgCFAoFhmFmtckIIRzHORyOWW01h8PBcdysNlmNx+OZ1VYTBEGSpFltMpfLNbYvMRxv+sQnpsMfaH5+fl9++eWwYcNqN3722WfJyclJSUmNvDE8PLympqbOJcbHjx9LpVJ/f39dhWf8aJo+f/58TEyMoQNpUenp6S4uLvb29oYOpOUUFxcXFxcHBAQYOpAWdebMmejo6OZ8K5mMO3fuSCQSNzc3QwfScioqKu7fv9+lixEVFB0xYsSbb77ZeB/9DqhnWXb79u2ffvpp493Wr19fUVEhEAhqN1ZXV8vlcrP6fkQI5ebmtm3b1tBRtKiCggJbW1uj+gmpbzU1NWVlZc7OzoYOpEWNHTvW3D7bT58+FQgEYrHY0IG0HIqiCgsL3d3dDR3Iv5rzqdPNEeHs2bNTU1Nv377t6upqZWW1ffv2Tp06IYROnz49cuTIwsLCOkkOAAAAMBK6SYR3796trq7WPPX39xeJRAihwsLCqqoqX1/fV18FAAAAoA+6vEYIAAAAtDpmdOEaAAAAqA8SIQAAALNmpNMwSaXSEydO1NTUDBgwwNbW1tDh6AvLsjk5OXl5ed26dat9a1lZWdnx48c5HM7AgQNN7JYziqIuXbqUm5vr7Ozcq1ev2gNdb9y4kZ6e3qFDh65duxowQp2jKCo9PT0rKwvH8fDwcG9vb81LJSUliYmJIpFo4MCBfD7fgEHqT0pKCkmSISEhmpYLFy7cv38/LCxMfUudyXj8+PHdu3c1TyMiItS3SiCEMjIyrl696uPj06NHDwNFp0fl5eVJSUlyuTw4OFizTysrK48fP86y7MCBAy0tLQ0bYdNY41NWVubv7z9gwIAJEyY4OjpmZ2cbOiK9qK6utrKysrW1xTAsLS1N056Xl+fs7Dx27NjBgwe3a9fu2bNnBgxS50JCQrp06TJ9+vSgoKDAwMDy8nJ1+/r1611dXefOnevp6bly5UrDBqlbp0+fDg4Onjp16oQJEywtLTdt2qRuz8jIsLW1nTx5cp8+fYKCgqqrqw0bpz5cvHiRx+P17t1b07JgwYJ27dq98cYbjo6OW7ZsMWBsOrdx40YnJ6e+/8jLy1O3//rrrw4ODnPnzvX19Z0/f75hg9S5ixcv2tvbDxo0aNq0aWFhYerGoqIiDw+PYcOGjRw50t3dPT8/37BBNskYE+H69ev79OnDMAzLsvPnz589e7ahI9ILiqJyc3NZluXxeLUT4VtvvTVr1iz148GDB69Zs8Yg4emJ5mcNRVGdO3f+7rvvWJatqqqysLC4fv06y7I5OTkCgaCkpMSQUerN7t273d3d1Y8nTpz43nvvsSxL03T37t1/+ukng4amezU1NcHBwfPnz9ckwgcPHggEgsLCQpZlz5w54+joqFAoDBqjLm3cuHHixIl1GpVKpbOzc2JiIsuyRUVFQqEwJyfHENHphUKhcHd33759e5325cuXjx49Wv144sSJ77//fouH9mKM8RrhkSNHRo0ahWEYQmj06NFHjhwxdER6QRCEp6dn/Xb15qsfjxo1ysQ2X3NikCAIe3t7pVKJEDp37pydnZ367JmXl1eHDh1OnjxpyCj1RiaTaU71a3Y0juMjR440sR2NEFq9evWYMWNqF4c6duxYRESEk5MTQig6Opqm6atXrxouQN0rKytLSEhITU1lGEbdcu3aNYVC0bt3b4SQo6NjZGTk0aNHDRqjLl28eJGm6ZEjRyYnJ2dkZGjajxw5Mnr0aPXjVvElZozXCPPz811dXdWPXV1di4uLKYpqsmqqaWBZtrCwUFOTydXVNT8/37Ah6cnZs2dTU1N37NiBEMrPz69dhsr0tlqpVA4ePFgmk5WWlsbHxyOEqqurKysrTXhHp6WlnTx58vLly5s3b9Y01t7RGIa5uLiY0lZjGFZSUvLjjz+mp6c7OTklJCTY2Njk5+e7uLhoCsu5uroWFBQYNk4dUp+/iYqKat++/bVr18LDw3fu3IlhWJ3vcOPfy8Z4REjTtOZzQxAEy7I0TRs2pBaj3lj10TBCiCAIiqIMG5I+ZGVlTZgw4eeff1Z/LdbeZIQQSZImttUkSS5duvTdd9+1s7Nbu3YtQki9gaa6oymKmj179vfff8/hcGq3m/aOnjdv3rVr1w4dOnT//n2xWPzJJ5+geptsYjtaLpfn5ORs3779zz//vHHjxqlTp06cOIH+u9WtYpONMRE6OzuXlJSoHxcXF5tVIUocxx0dHZ8+fap+Wlxc7OLiYtiQdC4nJ6d///5ffPGF5uRJ7T2OTHGrcRzv27fvqFGj9u3bt2PHjsLCQisrK4FAYKo7OiEhoaCgYPv27XPnzv3zzz+zsrLmz5+PTH1Ha2aa43K5o0aNSktLQ9o22ZRqzLq4uFhYWAQHByOELCwsQkNDb926hRBydnZuXZ9tY0yEMTExmktEJ0+eNLfZGGJiYtS/qpApbv6jR4/69ev34YcfTps2TdMYERGRm5v78OFDhFBpaen169ejo6MNF6MePX36FMdx9ZAYE97RISEh33zzjfrmST8/PxsbG/VFspiYmIsXL0qlUoRQRkZGZWVlaGiooYPVi+vXr6sLT4eEhMjl8vT0dISQXC6/cOFCr169DB2dzkRFRSmVSvUMfQzD5OTkqLe61X22jfHC27x584KCgt555x1ra+uvv/7aVO+bQAh98MEHpaWlFEV9+umntra2X331lYWFxZIlS6Kjo3k8nkwmO3z48PXr1w0dpi7FxsbSNJ2amjp37lyEUExMzIQJExwcHF5//fXhw4dPnz599+7dY8aMMaVpCtatW3f//n0/P7+ysrLff/990aJFEokEIbRs2bKhQ4eqVKqCgoJr1679+uuvho5UZ1xdXceMGaN+XFxcnJeXp74tKCgoqGfPnkOGDBk6dOiWLVsWLlyo/lOYhokTJ7q6ujo4OFy9evXkyZMXL15ECInF4kWLFo0fP37u3LmHDx+OjIxUHz+ZBkdHxzfeeGPYsGHTpk1LTk7m8/kjRoxACC1cuLBr165WVlYEQezYsePSpUuGjrQJRlpr9NGjR3FxcUqlcvTo0SY26ra2P/74o3ax8smTJwuFQoRQZmbm3r17SZKcNGmS1jtLW6+4uLjas1d37NgxMjISIcQwzJ49e9LS0jp06DBx4kRTujcqPz//2LFjubm5EokkKiqq9pDq1NTUAwcOCIXCKVOmGP/po5dz+/bt3Nzc2NhY9VOlUvnbb7/l5OSEh4ervzRNxqVLl86dO1deXu7m5jZ27NjaU8jFx8enpKR4eXlNnTrVxC70sCy7f//+a9eueXl5TZ48WTPRUHZ29q5du1iWnTBhQrt27QwbZJOMNBECAAAALcMYrxECAAAALQYSIQAAALMGiRAAAIBZg0QIAADArEEiBAAAYNYgEQIAADBrkAgBAACYNUiEALQCWVlZXl5ev/32m6EDAcAEQSIEoBVQKBS5ubkVFRWGDgQAEwSJEAAAgFmDRAgAAMCsQSIEAABg1iARAgAAMGuQCAEAAJg1SIQAAADMGiRCAAAAZg0SIQAAALNGGjoAAEBzpaam7t69u3ZLv379bGxsDBUPAKYBY1nW0DEAAJqQnp4eFBRUv/3KlSvh4eEtHw8ApgQSIQCtA03T9RsJgmj5SAAwMZAIAQAAmDW4WQYAAIBZg0QIAADArEEiBAAAYNYgEQIAADBrkAgBAACYNUiEAAAAzNr/A9tR7Ng/kuJCAAAAAElFTkSuQmCC", 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"plot!(L, naive_logrelerr; label=\"naive sum\", ls=:dashdot)\n", "title!(\"log10 relative error\"; titlefontsize=10)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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"image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = range(0, 1, 201)\n", "y = range(13.6, 14.6, 201)\n", "s = complex.(x', y)\n", "z = @. log(abs(eta_euler(s)))\n", "\n", "heatmap(x, y, z; c=:prism, colorbar=false)\n", "vline!([0.5]; label=\"\", c=:white, ls=:dot)\n", "plot!(xguide=\"Re s\", yguide=\"Im s\")\n", "title!(\"first nontrivial zero of eta_euler(s)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Euler-Maclaurinの公式\n", "\n", "近似公式\n", "\n", "$$\n", "\\zeta(s) \\approx\n", "\\sum_{n=1}^{a-1}\\frac{1}{n^s} - \\frac{a^{1-s}}{1-s} + \\frac{1}{2a^s} + \n", "\\sum_{k=2}^n \\frac{B_k}{ka^{s+k-1}}\\binom{-s}{k-1}\n", "$$\n", "\n", "の詳細については\n", "\n", "* [13 Euler-Maclaurinの和公式](https://nbviewer.jupyter.org/github/genkuroki/Calculus/blob/master/13+Euler-Maclaurin+summation+formula.ipynb)\n", "\n", "を参照せよ. 実際の計算時には $k\\geqq 2$ かつ $k$ が奇数のとき $B_k = 0$ になることに注意せよ.\n", "\n", "$$\n", "\\zeta(s) \\approx\n", "\\sum_{n=1}^{a-1}\\frac{1}{n^s} - \\frac{a^{1-s}}{1-s} + \\frac{1}{2a^s} + \n", "\\sum_{k=1}^m \\frac{B_{2k}}{2k a^{s+2k-1}}\\binom{-s}{2k-1}\n", "$$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "B.(0:30) = Rational{Int64}[1//1, -1//2, 1//6, 0//1, -1//30, 0//1, 1//42, 0//1, -1//30, 0//1, 5//66, 0//1, -691//2730, 0//1, 7//6, 0//1, -3617//510, 0//1, 43867//798, 0//1, -174611//330, 0//1, 854513//138, 0//1, -236364091//2730, 0//1, 8553103//6, 0//1, -23749461029//870, 0//1, 8615841276005//14322]\n" ] }, { "data": { "text/plain": [ "zeta_em (generic function with 6 methods)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mydiv(a, b) = a/b\n", "mydiv(a::Rational, b::Rational) = a//b\n", "mydiv(a::Integer, b::Integer) = a ÷ b\n", "\n", "function mybinom(n, k)\n", " k < 0 && return zero(n)\n", " iszero(k) && return one(n)\n", " b = one(n)\n", " for j in 1:k\n", " b = mydiv(b*(n - k + j), j)\n", " end\n", " b\n", "end\n", "\n", "struct Bernoulli{T} B::T end\n", "function Bernoulli(nmax::Integer = 30, T::Type = Int64)\n", " B = zeros(Rational{T}, nmax + 1)\n", " B[begin] = 1 # B_0\n", " B[begin+1] = -1//2 # B_1\n", " for n in T(2):2:nmax\n", " B[begin+n] = -1//(n+1) * sum(mybinom(n+1, j)*B[begin+j] for j in 0:n-1)\n", " end\n", " Bernoulli(B)\n", "end\n", "(B::Bernoulli)(n) = B.B[begin+n]\n", "B = Bernoulli()\n", "@show B.(0:30)\n", "\n", "function zeta_em(s::AbstractFloat, a=10, m=9; B=B)\n", " n = 2m\n", " z = sum(1/n^s for n in 1:a-1; init=zero(s))\n", " z += -a^(1 - s)/(1 - s)\n", " n == 0 && return z\n", " z += 1/(2*a^s)\n", " n == 1 && return z\n", " z += -sum(typeof(s)(B(k))/(k*a^(s+k-1))*mybinom(-s, k-1) for k in 2:2:n)\n", " z\n", "end\n", "\n", "zeta_em(s::Real, a=10, m=9; B=B) = zeta_em(float(s), a, m; B)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "zeta_em____2 = 1.6449340668482264\n", "zeta_exact_2 = 1.6449340668482273\n" ] } ], "source": [ "zeta_em____2 = zeta_em(2, 10, 9; B)\n", "zeta_exact_2 = zeta(2)\n", "@show zeta_em____2\n", "@show zeta_exact_2;" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "zeta_em____1_5 = 2.6123753486854886\n", "zeta_exact_1_5 = 2.6123753486854886\n" ] } ], "source": [ "zeta_em____1_5 = zeta_em(1.5, 9, 8; B)\n", "zeta_exact_1_5 = zeta(1.5)\n", "@show zeta_em____1_5\n", "@show zeta_exact_1_5;" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "plot_em_relerrs (generic function with 1 method)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function plot_em_relerrs(s)\n", " a = 1:10\n", " zeta_em____val = zeta_em.(s, a, a .- 1; B)\n", " zeta_exact_val = zeta(BigFloat(s))\n", " em_logrelerr = logrelerr.(zeta_em____val, zeta_exact_val)\n", " plot(2a, em_logrelerr; label=\"\", xlabel=\"number of terms\", xtick=2a, ytick=-100:100)\n", " title!(\"log10 relative errors of Euler-Maclaurin approximaton of zeta($s)\")\n", "end" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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