text 等角写像

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{
  "cells": [
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "# 等角写像"
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "import numpy as np\nfrom matplotlib import pyplot as plt\n%matplotlib inline",
      "execution_count": 5,
      "outputs": []
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "## 等角写像の描画"
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "x, y = np.meshgrid(np.arange(-5,5,0.1),np.arange(-5,5,0.1))",
      "execution_count": 67,
      "outputs": []
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "z = x + 1j *y",
      "execution_count": 68,
      "outputs": []
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "w = np.log(z+1)\nlevel1 = np.linspace(-np.pi, np.pi, 15)\nlevel2 = np.linspace(0, 1, 15)",
      "execution_count": 104,
      "outputs": []
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "plt.figure(figsize=(5,5), dpi=200)\nplt.contour(x, y, np.angle(w), level1, linewidth=0.1,linestyle='solid')\nplt.hold('on')\nplt.contour(x, y, np.abs(w), level2, linewidth='0.1', linestyle='solid')",
      "execution_count": 105,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 105,
          "data": {
            "text/plain": "<matplotlib.contour.QuadContourSet at 0x1081f43c8>"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<matplotlib.figure.Figure at 0x108aeb4e0>",
            "image/png": 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6nEEUyU7HUYdAx4kpdZSirP9D7Dx8cj/Grka0db/TkdQRymYmXjJpzMVOR1GHSIuYUsdA\ntHUnYu/EJ49h2Y3xWFc6HUkdgY18TxItSaaV01HUIdLmRKWOkWjzOB5zLcVyE0GZ6nQcdZiKyGAb\ns2nEBU5HUYdBi5hSx4gxhhgzChfdKLavICQrnI6kDsNGvsVNPPU4w+ko6jBoEVPqGDImijjrEwx1\nKLIvwpZtTkdShyCEj038REPOxU2s03HUYdAiptQxZkx14qxvgUKK7X46GLoC2Mp4AuTTmIucjqIO\nkxYxpcqAZZoSa31OiD/xymCn46gDEIT1fEltTiGOBk7HUYdJi5hSZcRtuhBjRhKQ0fjt952Oo/Zj\nO/PIZw1NudzpKOoIaBd7pcpQlHUTITsdr9yBS9rhMic7HUntZR2fk0gzapDqdBR1BPRMTKkyFmNG\n4qIjRfaV2JLpdBy1m0I2sY2ZNOFynSexgtIiplQZMyaaWOsTIEixfZ1OFhxB1vMVHpK1W30FpkVM\nqXJgmQbEWmMIMQm/jHA6jgL85LGZn2nMxbiIcjqOOkJaxJQqJ27TiyjzID4ZQlBmOB2nytvEDwgh\n7VZfwWkRU6ocRZvHcdG5pFlxh9NxqiybAOv5mvqcRTTVnY6jjoIWMaXKkTFuYq0xCHkUyyC9B5lD\ntjAOH9narb4S0CKmVDmzTBNirTcJypcE5AOn41Q5gs1axlKHU0mgqdNx1FHSIqaUAzzmUjzmOrwy\nGFs2OR2nSsliOoVs5Dj6Ox1FHQNaxJRySIx5AUMCXvs2bVYsJ4Kwho+pTgeq087pOOoY0CKmlEOM\nqUaM9TpBfiUonzgdp0rYznxyWUYzrnY6ijpGtIgp5SCPOR+36YdX7tPbtpSDNXxMIi2oRWeno6hj\nRIuYUg6LMS8CglfuczpKpZbLCnKYQzP66xRTlYgWMaUcZpk6RJsRBOVTAvKz03EqrTV8TBwNqMtp\nTkdRx5AWMaUigMdcjYte+Oz7EPE5HafSyWcNmUwuOQtzOR1HHUNaxJSKAMYYYqyXsVmPX151Ok6l\ns5oPiKUu9Tnb6SjqGNMiplSEcJk2RJnb8Mmz2LLZ6TiVRj5ryWAyzbgGS2+hWOloEVMqgkSbxzDE\n45NHnY5SaazmA2KoQwM9C6uUtIgpFUGMSSbaPE1AxhKSP52OU+GFz8Im0pwBWHicjqPKgBYxpSKM\nx1yHRXu89gM6k8dR+osxxFKXBpzjdBRVRrSIKRVhjHERY/2LENMJ8q3TcSqscI/ESSVnYXotrLLS\nIqZUBHKbM3DRG5/9NCK203EqpL94X3skVgFaxJSKUNHWk9gsIcjXTkepcHJZTiZTaM71ehZWyWkR\nUypCuU0XXPTBZz+jZ2OHaSX/IYEmNOBMp6OoMqZFTKkIFm09hs1SPRs7DNmkk0M6x3OTzs5RBWgR\nUyqCuU3XkrOxYdpT8RAIwir+QzJtqMOpTsdR5UCLmFIRLtp6uOTamE4OfDCZTCaX5bRkoM5UX0Vo\nEVMqwrk4FRdd8dsjnI4S0WyCrOQdatGZmnR0Oo4qJ2VaxIwxDxtjZhtj8owxmcaYr40xLctym0pV\nNsYYoqzBhJhGUGY4HSdibeInithIS252OooqR2V9JtYDeA04BegDeIDfjDGxZbxdpSoVN+dhcTx+\ned3pKBEpSDGrGUM9ziCJFk7HUeWoTAdQiMh5u/+/Meb/gCwgDZhalttWqjIxxsJjbsEnD2FLBpap\n63SkiLKGjwmQT0tucjqKKmflfU2sGiDA9nLerlIVXpS5FvAQkPecjhJRislgHZ/RlCuJRYt7VVNu\nRcwYY4CRwFQRWVpe21WqsjCmGh5zFX75DyJBp+NEjJX8Bw8JNONqp6MoB5TnfCyjgLZw8MEb99xz\nD8nJyXs81r9/f/r3719G0ZSqGKLMQALyHkF+wUNfp+M4LpcVbGU87bgXN3qpvSIaO3YsY8eO3eOx\n3NzcQ369KY8BlMaY14ELgB4isuEA66UC6enp6aSmppZ5LqUqooLQyVg0J871idNRHCUIs7iDIEV0\n420snZ2j0pg7dy5paWkAaSIy90DrlnlzYkkBuwjodaACppQ6NB5zLUF+wJYcp6M4aisT2MkS2jBI\nC1gVVtbjxEYB1wBXA4XGmJSSJaYst6tUZeYxVwFCUD51OopjQnhZyWjqcCo1SXM6jnJQWZ+J3Qok\nAROBLbst/cp4u0pVWpapg5tz8ctHTkdxzGo+wsdOWvFPp6Moh5X1ODGd1kqpMuCx+lNsX40tf2GZ\nqjW4t4ANrOUTmnE18TRwOo5ymBYZpSogN+cAsQTkG6ejlCtBWMarxJJCM65xOo6KAFrElKqAjInH\nzVkE5Vuno5SrLKaRQzqtGYSLKKfjqAigRUypCsptLibEbGzZ6nSUchHCy3LeoCYnUZsuTsdREUKL\nmFIVlNucBRiC8qvTUcrFX3yAjxzacrfeK0z9TYuYUhWUZWrhojNB+cXpKGUun7Ws4zOaMUA7c6g9\naBFTqgJzm3MJMg6RgNNRyoxgs4SXiKM+zbjK6TgqwmgRU6oCCzcp5hNittNRyswGvmUni2nHvVja\nmUPtRYuYUhWYRUcgiZBMcTpKmfCyjZW8TSMupAYdnY6jIpAWMaUqMGNcuOlOUCY5HaVMLOVV3MTS\nkpudjqIilBYxpSo4l+lJiBmI+J2OckxlMpUsptKGO/CQ4HQcFaG0iClVwblNd6AYmwVORzlm/OSy\nhJeoTTdSOM3pOCqCaRFTqoKz6AB4CMkcp6McE4KwhJcRQrTjXh0Tpg5Ii5hSFZwx0Vi0J0S601GO\niQz+IJNJtOVuYqjpdBwV4bSIKVUJuExapTgT85PLMl4jhdOoRy+n46gKoExvxaLUMSUCge3g2wqB\nnF2L7QUJgdiADVYsuJPAnQjuZIiuDzGNwRXr9B6UGRepBHgHkWKMqZj7KQhLS5oR23CH03FUBaFF\nTEUm/zbI/RPy5kDhUij6K7wEc/da0YAVDVhgXGAsCBXBvmawiKoDMU0hsT0kpkJSJ0joAO74ctih\nsmWZdiA2NitxcaLTcY7IVsaRwSRO5AltRlSHTIuYigzeLZDzO2z/HXZMAe+G8OOeGuFCk9gJUi6H\n2OYQ0xA8NUuWauHitTfbB8E8COwE3yYoXg/e9VC0BvLSYcsYkGD4tcldoOaZUPMsSDoZrIr3a+Gi\nNQC2LMNlKl4RKyaLpbxCPc7QZkR1WCreb6uqHESgYBFkfArbvoOCxeHHk9Ig5QpI7gxJJ0HscWCO\noHeaFQ1RtcNL/PGln7d9ULAEcmdDzjhYPxJWPwXu6pByWThDjV5geY5qN8uLMckYGhBiKRUj8S5C\niEU8h5s42nKX03FUBaNFTJWvotXhs6CMz6BoRbho1LkQjnsUap4RLjrlwYqGpNTw0uhWsIPhpstt\n34Wzbf5P+Ewv5TJodBskRv7ZjUULbNY4HeOwrWEs21nAyYzAQ6LTcVQFo0VMlT07CNk/wsY3IefX\ncGeLOpdAq5fDhcuKgEldLTdU6xJeWgyD/PmQ+Tls+RA2vQXVT4PGd0LtCyO2udEyTbBludMxDksu\nK/iL92nG1dSkk9NxVAUUmb+NqnIIFoQLwIaR4N0ISZ2h3ftQt19k9xQ0JtzpI6kTNH8asr6GDa/C\ngssgthkcPxxS+h1ZM2cZsEMhtq9axdalReRlLiGYPZTCzEy8O3fusZ4rKor4OnWIT0khvk4dkho2\npE67dsTVquVI7iDFLGAYibSgBdc7kkFVfFrE1LEXzIcNr8H6F8OdK+peDY3vgOSTnE52+Cw31L0i\nvOSlw+ohsPAqSHoRWjwNNc8u92KWu3Eja8aNY8PkyWQuWsS2JUsIer1AuHNmXO3Xia+TQky1ahhr\n11DQYHEx6yZOpDAri0Bh4d+Px6ekUOeEE6h/8skc17s3jU89FU9cXJnvx3JG4SWLbryFpX+K1BHS\nnxx17NgB2DQ63EEimA8NB0LT+yG2sdPJjo2kNOj0HWz/A1Y9AnPPheo9oe1bEN+qzDYrImyePZtF\nH33E6t9+I2fFCjCGuh07UrdjR9pfcw11TzyR6m2yMbUGkOieiWWOO+B7+gsL2bluHduWLCFr8WKy\nFi1i/nvvMe2557A8Hhp17crx55/PCVddRXLjY//5beIXNvED7RhMApXk50M5woiI0xn+ZoxJBdLT\n09NJTU11Oo46HNm/wop7oHA5NPgHNH8SYho5narsiED2L7DiznBTabMnoengY9qbMX/rVhZ++CHz\n33+f7GXLSGrYkOPPP59mffrQtFcv4mruOZYqJAsotDsTb03FZU4+7O2JCNnLlrF2wgTWjBvH6l9/\nJej10qRnT064+mpOuPJKYqpVO/r9YjUzuI369OEE7j/q91OVz9y5c0lLSwNIE5G5B1pXi5g6OkVr\nYPldkP1D+Kyk1cjwtaSqIlQMq5+EdS+GezCe8N5R92TM3bCBycOGMf/dd7Hcblpfcgkdb7iB43r3\nxnLtY0xcCVs2U2A3I9b6Go8576gyAPjy81n+zTcs+ugj1owbhzsmhk433kiXu+6ierNmR/SeIXzM\n4BYMLrrwJi69U7Pah8MpYtqcqI6M2OHrXqseDneL7/B5uDt6hHR2KDeuWGj5fLijx5J/wKwu0OZN\naPB/h/1WO9etY+pzzzHv3XeJSU6m97BhpA0ceNCzHwkGCWzciH/DGorybQLeX7B8O5BgEFdiIlZy\nMq6kJNy1a+Np1AhzgEK4u+jERE689lpOvPZaCjIy+HPUKP4cNYrZr71G28sv57Qnn6ROu3aHtY/L\neYMittKVf2sBU8eEnompw1e8HhbfADv+CHfYaDEc3HrTQkJeWH47bH4HGtwErV89pF6YIb+fac8/\nz+ShQ4lOTqbrvffS+fbbiUoofUxDeXkUzZhB4dSpFM2ahX/1avzr10ModEgRTXQ00ccfT1TLlsR2\n6ED8aacR16ULVkzMIb0+UFzMgjFjmPavf5G7cSNpAwdy+pAhxNc++Pi+jfzIEkbQjvtoRN9D2p6q\nmrQ5UZWdjM9g6c3grgbt3oOavZ1OFHk2vwfLboP41nDilxC3/6a3TbNm8f1NN7Ft2TJOfeABej72\nWKmegf4NG9j5ySfkfv45xXPngm3jqlWL+G7diG7ViqhmzYhq3hxPo0YUxfYgJu52YhIeAJcLOz+f\nUG4udm4ugYwM/CtX4lu5Et+KFRTPnUtoxw5MdDRxXbqQePbZVOvfn6imTQ+6i0Gfj9mvvcbkoUPB\nGHo+/jin3HEHrqh9n13tZCmzuJuGnEM77j2sw6mqnsMpYohIxCxAKiDp6emiIkywSGTJrSK/IrLg\nKhH/TqcTRbbceSKTm4v8kSKSv6TU00G/X3697z55yhgZnZYmW+fP3+P5UHGxZL/9tvzVs6csAFkY\nEyPrrrhCst9+W4qXLRPbtve52bxgMykODTmkiHYoJEXz58u2kSNl7cUXy8K4OFkAsqpbN9n2+usS\nyM4+6HsUZGXJD7fdJkNcLnmzQwfZPGdOqXW8sl0myOUyQwZJSHyHlE1Vbenp6QIIkCoHqxsHW6E8\nFy1iEap4g8j0VJHfY0Q2jhbZzx9QtRdflsi09iITaoeLWonC7Gx5v1cvedrtlqnPPy+hQODv54K5\nuZL5/POypF49WWBZsvqss2T7mDESzMs7pE3mB9tKcejBI4obzM+X7R99JGvOO08WuFyyMDZWNt1+\nu/jWrj3oa7fOmydvnniiDHG5ZNLQoRIKBkVEJCRBmS2DZbxcLMWy7YhyqarncIqYNieqA8tLh7l9\nw1NDdfwWkjo6nahi8efA3HPCt5FJ/YmsTYmMvfBC/Pn5XPHFFzQ97TQA7KIisv71L3JefRW7sJBq\n111HnQceILply32/rwhsz4LsreF/czIhbwc+nsXynIjH0w9i4qBuI6jXBGrVg0Ps0AEQzMoi5803\nyX7tNUI7d1Ktf3/qPPYYMa32Px4uFAgwacgQpgwfTtPTTuOysWPZWPdLNvAVJ/E8NUk7rEOnqi69\nJqaOjW0/woJ+kHBCeJBvdIrTiSqmYB7M7cvK32fz5bMW1Zq1oP9331Gt5NpTwYQJbBo4kMCmTdQc\nNIja996Lp0GDPd+juAhmj4fFs2FZenjZnrXnOtExiO2DEBh7r99rtwcaNYcOXeHEU6HjqdC01UF7\nk9qFhWwNmHmuAAAgAElEQVR/5x22jRhBMCODWnffTZ3HH8eVuP+Jetf+8QdfXXMN4gpw3LdNOCn1\nUZpwyaEeLaW0iKljYNNbsPSfUPsC6PAxuMp+GqLKbOV3X/HppZdz/CkuLv3qT6JSOhLcsYOtgwez\n4913ie/Zk4Zvv73nmVdRAUz5EcZ9AVN/Am8R1KgDbU+CNmnQqiOkNIQaKeHHY2LJD7XBYy4lhqHh\n12dsgK3rw8vqJTB/GqxaGD6Tq10f+lwOZ/ULF7fdpqjam+31sm3ECLKGD8eVnEy955+n2oABmP0U\nwY2bx/PpxZfiXVLMJWP+S7sr+h3rQ6oqMe3YoY7O6uHhDhxLbxexg06nqfDWTZ4sz8TEyCcXni+h\nia1EprSSwpkTZWmDBrIoKUmyR48WOxTa9YINf4k8O0ikS5xIR0T6p4m886zIuhUHvR6ZFzxeikOP\nHThQfq7ItF9Enr9L5Mz64W2c01jkzSdFth/4upVv/XpZd8UVsgBkzbnnSiArq9Q6hbJFxsslMq3o\nn/L5Vf3kKZBpI0YcOJNSu9GOHerIrXkuXMD+eko7cBwDGQsWyLPJyTKmd28JFBeLFKyUHY/HycJo\nS1Z2Pln8mzbtWnnRLJH7LhPpZEROrxUuKpvWHNb28oINxBt67tBfEAqJpE8WGTowXDS7xIr8606R\nLesP+LLcn36SxbVqyZL69aVg8uS/H/dLvkyR62WSXC0+2Sm2bcu4hx+Wp0AmDx9+WPuiqq7DKWI6\nY4faZd0IWPUQNHsiPPehOio71q7lv2efTY3mzbny669xRUWR8fRHZA0tolovaDiyO1aDBpC3A0Y+\nAF//BxofD4+8CX2vg5i9BkoX7YDMpeElaxnkrAZfAQSKwF8EdpDY2Ays+LGQ8Bck1YcGnaBBKlRr\ntO/rX5YFqT3Cy6Bh8Onr8Mlr8PkouOgf4ceql75VS9K559Jy/nw2XH01q08/nZSnn6bWww8w3xqC\nlxy68AZRJIOBM4YPxx0Tw4RHHsFyuzn1fp0vUR07WsRU2PqRsPJ+OO4RaP6U02kqvEBxMZ9ceCGe\n+Hiu/uknouLj2Xjddez86CPqDhtG7f7RmJWDYbnAW2PBVwwPj4LLBu7qRWjbsHUBLP0Bln4PG/8M\nP24sqNkMarWExBTwxIInDjFgFy3HKhTYsgCWfAcFJZ0/4mtDky7Q9gJod2H4dXurXgtufQquGwxf\njIb/PAO/fQaDnoHLby3Vu9HToAHNxo8nc8gQMh9/nKw/P2HHRzVJi3+x1Mz0pz3xBKFAgHEPPIDl\ndtP1nnuO8RFXVdbBTtXKc0GbE52x+YNwE+KKB7QJ8Rj55d57ZWh0tGQuWiS2bcum22+XBZYlOz79\nNLxC7g6RG0quR919vkjmbs2KeRkivw4RGVJf5D5EHk0SGXOFyOz3RbYsFPEX73ObITtTcoNR4re/\nCT9g2yI7N4ks/lbklydE3ugpMtgKL6N6icx6Z7/vJSIiOVkiQ24KN28O6Cyydvl+V13+/b0yL96S\nxV1bS3DnvgfC27Ytvz/0kDwFMn/MmAMeP1W16TUxdehyJor85hFZ/A8tYMfIhunT5SljZNoLL4iI\nSNYLL8gCkOzRo8MrbF4rcmlbke5JIiPjRRZeV/L4fJGx14s8ECXyUJzI57eIrJogEji0WS6C9nzJ\nDUZJwJ61/5Xys0Rmvi0y+kyRwUbkqboi458VKdqx/9fMny5ycSuRbgkiv39Ren/le/lZTpfls5+U\nxdWqycqTT5bA9u37fCvbtuXbG2+Upz0e2TBt2iHtl6p6dLCzOjSFK8Ozrid1gtRfjum9sKqqoNfL\n6E6diE5O5h/TppH3xRdsuOoq6jzyCHWHDYOFM+GeiyAuAV79ETzTYMFNkHshzPsekhvBqbfDKTdB\nXPU93zyQC9714N0QvoeZLwMw4c/NeAi51uGNeZvYhElYsaeAOcjg5qwVMOlFmDMG3NHQ/U7o/TBE\nx5det6gAnvoH/P45/N8D4WtlbjfbmMVcHqERF9KGO/HOX8CaPn3wNGpEs3HjcO91zzMIT3j8QZ8+\nbF+1ioHp6STWr3/kB1xVSjpOTB2cPwdmdwHjhs7TwVP94K9RBzXuoYeY+fLL3DJvHnE5Oazp04fk\nfv1o9MEHmHFfwmMDwuO8XvoGqtWEhV/C59dAMADnPg/d7wZXyaXqYD7smArbx8P2cZC/YNeGjBui\nUgAJ31FbAkgoHyMls9lb0RDfDmr2gVrnQLXu+/+SkrcVJo+Eqa+Er51d8CKceEXpjiAi8OFL8OqD\nkHYaec8NY1b1IdQglVSexhAumt7Fi1nduzdRTZrQbPx4XElJpTZZkJnJW2lpJDdqxPUTJ+KOjj7K\nI68qEx0npg7MDonMOVtkQi2RwtVOp6k0MhYskCEul0weNkyCO3fKkvr15a/TT5eQzycy43eRk9wi\nD/UX8XlFinNF3r0ofM3rrd4i33p2DWvYMU1k4QCR36LC1yonNhBZdL3IpvdFdswQKd60z/F7xcHH\nJT+/vsi2n0XWjRRZeG14AuJfERmfHP7/nX/ufweyV+/K9O5F4Wtz+zJ7goR61ZD8yxNl9vbrJSBF\npVYpmjdPFiUny5rzz99zDNxuNs2aJUOjouTXwYMP5fCqKkSviakDW/OcyK9GJPs3p5NUKh+dd568\n1rKlBH0+2XTbbbIoIUF8GzaIrF4q0j1Z5LZzRAIBkR0bRUZ0CHfYWPhluHAtHxy+Njm1bbjoTG4m\nsuZ5kYLlh3ytsjB4lRQEz9rzQTskkpseLpCTjwu/96weIhlf7X8g+8IvRZ6oHe5Ysr709bV8WSvT\nV/cSX+9YCV3ZXmRnzj7fJu/nn2WBMbL18cf3m3nq88/LU8bI+ilTDmkfVdVwOEVs//PMqMppxzT4\n61E47iGoeabTaSKbHQovhyBz4UJW/fQTPR9/HO+cOeS8+SZ1hw8nKiEW7uobnh7quU8gaym81gWK\nd8KgadD+0nAz4fYJIAEIFUHqz9B9FRx3P8SH5zcUySMokwnI1/jt9/DZL+Gzn8Fvv0HA/pygTCTE\nAgx7TRhsLEhKDY/7674KTvwKEFhwKUw/AXJ+L70z7S+F+xZA9SYwqifM+eDvp4rJZA4PEGp2HGb0\nH1iZW+CfZ0H+zlJvk3jOOdQdNoysoUPJ/eabfR63rvfeS6OuXfnm+uvxFxYe0rFWand6Tawq8efA\nzE4Q0xhOmghWFR8mWLwTVk+EjMUlg4iXwfY1EPCWXGeS8HWhpPpQrXH4j3rtVtD8NGjUeY8OEF9f\ney3rJ09m0NKlrOncGSshgRYT/8AMOhvWr4QPZ0HBKhhzGdQ6Hm78AeISYfWTsOEViG8DyafA1o+h\n5wbEE0tQfiDIFEIyE5vFhL+Y/k8ShjiE7YB/t8fjcdMLlzkVtzkDiw77nt8wd3Z4XOCOyVDnMmj9\nMsQ02nOdoA++ug1mvws978Hf9zFmWfdg4+cUXieGmrBiPgzsDU1awpu/Q/yeEwOLCBv69SP/l19o\n8eefxLRuXSrK9r/+4s0OHUi75RbOefnlw/0UVSWkHTvUvi28BrJ/hm4LSv/BqiqyV8OSb8MDiNdO\nATsIcTUgpW14qdkiPHjY5QkvdhB2boQd62HHBshYBEXbw18A6neE48+gsOkFvNTxdM584QWaA1vv\nu4/j580j9qe3wrNwvD0RasbA692g+elw7WcQ3AJzzwXflvDg8ib3IsGd2PMa4W+VRiBxBZCPRRtc\npgsuuuAyJ2NRD0jCmPAXkPDvbx5BmU6xXIybAQibCDEbKMKiE1FmIB5zJcbs1etQBDI+gZX3hc8A\n246GuleWXmfaG8h3d5OV2pQl/dpzivUa8TTctc7SdLilN3Q5C57/rFSHkFBBAX+ddBJWcjItpk/H\n7OOWMNNHjGDcgw9y68KF1GnX7qg+YlXxaccOVVrWD+HrIZur6CDTjeki710c7rTwYLTI2+eJTBsl\nkrPu8MbHhULhAcfT3hT5aIDI4zVk+unIUJeRvC+Hy+KaNWTjzTeLLP4zPEj4o5HhsVlDG4u8lCri\nLxLZMTPcqWZqG5HCv0REJGDPkPxgV8kNRkleYawUB5+UkH3o8yb6Qv+R3GCM2HahiIjYtk/89g9S\nGLxYcoPRkhusJcWhwWLb+xi/5d8hsqB/+Odj1WPh62i7KZIMWZLeRezBiP/bm/d9vMZ9GR64/fGr\n+8xXMG2aLDBGtr3yyj6fD/p88krz5vLR+ecf8j6rykvHiak9BfNhertwk1XqLwe9h1SlsikdfhsS\nnrapVgs441HocMW+x0IdAQl4+Xe7VtRK9NEjKpNtc6D1F8/i+fKb8K1TPpwF75wbbq68ew4EF4bv\n0ZbUCTp9j7gNXnmMgLyDRSrRRZfinnE/Jm081OyNn1zy+Ys8VlPIBuySpkPBxuAinobE0wSP/SFR\nModE17xSGW1Zj1/ewS+jMEQTbYbhMddhzG6XxEVg3b9g1cOQ0g9OeB9csXjJZjZ3IQhdp7Yn6ptH\n4LxnofdDpQ/GiHvg0zfgvalwQudST28eNIgdY8bQcskSopo0KfX8ks8/54t+/bhuwgSO69XriD8T\nVfFpc6La07I7YPO7cOoSiG3qdJry4S+CH+6H6aPC17H6PAYdr9o1BusY2Tp3Lm+lpXHVV18RvPkm\nqp9ch/o1lsNS4KmXwV4NM/4Nt06A6DWw9MbwPdraf0zA+hmvfTdCETHmaTzmFgwWhXPbs7lhU7ak\nJOAlEwCLaBJojIvwpMAGC5sAhWwkQF54HTHUNj2pRy9q0xUXUXtktWUrPnmEgHyMi87EWG/gMh32\n3KHMr2DRAEhoj6/TB8yOHk4IL515hTjqhr8Q/PYUXP4WdLl5z9cG/HBjT8jOgLFzIbnGHk+H8vJY\n2bYtMSeeSNMffih1rU5EeKdrV+xAgJv//BNzgPubqcpNmxPVLrnzwt3p173kdJLyk7VSZER7kYdi\nRSa/IhIqu3ui/f7QQ/J8rVqS88knsgCkeOFCkTNTRC6qHm66vA+RP54X2T5V5DeXyOKbROygeEMv\nSm4wSgqDV0jI3iS2BGWj/CgzZJD8LKfL74Husjj0nGyRCZIv68WWfe+DLbYU25tlQ7CeLA8Nkmly\nc/j10leWyEjxSunu7wF7iuQHO0luMFn89rel3zR3joT+qC1506vJpMDFUiAbd9ugLfLlbSL3u0XW\nzSz92i3rw8MJhty0z7w7v/5aFoDk/frrPp9fO3GiPAWy4vvv9/m8qhq0i70KE4EVd0N8a2h0u9Np\nysfib+GVk8I96+6cDT3uBOsg0y8dhdW//krzs88m77PPiE1LI2bNHNiWCcN/gdjq4c4hM1+BeZdA\nclek9Rt45Sl88jBR5kFirU/JN4XMYBCLGYGHBE703kyvidNpl92GevQigcbYQC47KaSQELu6/RsM\nbpaRTA4tzD/pxlt0ZwyNuZCtTGAyA1jDx4R268HoNt2Jt6bh5hyK7X747Tf32KedSXHMTmtDXFEh\npy4qJl7q7XrSGLhoZPj2LmMHgG+vbvH1GsMdw8MdWhbOLHW8ki66iLguXch47LH/fXHdQ5OePWlw\nyinMePHFI/tAVJVTxftYV3JZX8OOSeFxR1VhXsRZ78AXN0O7i+Gq9yGm9HRHx1JBZiYZ8+bR+dZb\nyb/zTuoOHQrvPgu9Loat48BfALeMhwUXQFEu4vonXu4lIG8TbZ7FZf2T5YxiPV+RSFO68DrVaIvE\nCBtrv84S1x9kkcMOtrOTndjYf287iijiiacxTWgkC2hIExJpC0ACjWnJzTTlSlbzIat4l418T2tu\nI4UeABgTS6z1MT55EK/cjW1vINoMY6dZwhweIjGxPdLhTtzz+sGKweEu+P/j8sDVH8JLneCHwXDZ\nnkWQy24JF7Hn74QPZobvWVbCGEPKM8+wtk8f8n/4gaQLLtjjpcYYut57L19ceSUZ8+dTt2PHY/yp\nqcpGi1hlZftg5WCodW547rzKbvqb4TFN3W6Di1/b4w9nWVn9228A1PH5yPH5SK4bBxtWwROj4OvL\nwlmYAvF5iP9SvDHDCIibGPMmQetcZnETXnJoxc004XJ2kssfjGcB89l+Yi+SfIU0EA+tTVtqUoNk\nqhEkiBcvxRSTTx5rWcMCS4ArqMNrnEIXOpGKGzdRJNGGQTTiAlbwb+bxBA05n7bchYUHYyxizAsY\nuzE+uZ9iljAHP8mmDakMx107Flq/Cstvh7jjofFtu3a+dku4YET4mLe9ENqcu+s5lwseeBX+0QO+\nHwMX3bDHcUvo3Zv4Hj3IHDKExL59S10ba3PppSQ3bsyMl17ikg8+QKkD0SJWWW1+D4rXQacfnE5S\n9v76A76+PTwL+0Ujy6335cbp06ndrh3BqVOJ69KFqKlfw0mnw46ZEArAKRfDojPhuIcIND+BgPxA\nzGcBgslTmX3ur1jGQ3fewUMdxjGe6UzFjZt2nMCFuU1oOusKrK4LIbH9fjPYkkGW3YYMM5QVVk1+\n4DumMoXenEF7OmBhkUBjUhnGZn5mCSPxkk0nnsJFDABR1u1k22tIlFE041Sammf/fo7Gg6BwGay8\nF2r2DjdN/0/XW2HRV/Dd3dDyzD07zXTqDmdeAW8PhfOvBfeu54wx1Hn8cdaedRZFU6cS36PHHvtk\nud2cdNttTHzySc57/XWi9zGBsFL/o9fEKiM7AGufCw9cTWjrdJqylZcBH/UPDyK+8KVyHT6QvXQp\ndU44gcKJE0no3g3mToLel4R7RKZdCxufhLiW2M1uxCt34zZXEWz7CrO7LsMq3ElneYkMvLzBa8xk\nOr3ozYM8wiVcRs2EM/mt/pl8YC/hFZbyFPMZzJ88x0L+y2omkcE6CgjIV8Th50RzNVfSn9u4nRRS\n+JLP+TdvsI3wnZ0NhoacRxrPsoMFzOFBAhQghFjKSBZZ8ykw51JbZiAyfc8dbfkCxDSBJTeD7GrS\nxBjo+wJsWwl/vlf6AN3wEGxeCxO+KvVUQp8+RLVoQc7o0fs8th2uuYaQ38+yr0q/VqndaRGrjLb+\nN3zfqeMecTpJ2bJD8NHV4fkBr/m4TDtw7Mu2pUupXrs2waws4qtFQzAIdazwrU06dIcdk5EWwynm\nTgzxiHmE2SdOxYqtRdork/h93Qje512SSOI27uAkejCBLB5kDpe6ZvJ8u7v5Jj6WhWyngADxuNlA\nIZ+ylqeYzw1M5VaTwC/mLgpNeLqnFOpyNQO4mVsIEWI0b7KIhX9nrkUaJ/Mi+azhT+4lnUfZxA+c\nwGDqmS9x0Yti+zps2bRrR12x0PbfsHMqbHl/z4PQoCN06h/udh8o3vO5NqnQuTeMeSHcyWg3xhhq\nDBxI7hdfEMzJKXVskxo2pEnPniz6+OOj+YhUFaBFrLKxg7BmGNS55IDNUJXC5JdhzUS4+mNITCnX\nTRdlZ1OUnU2C1wtuN/HZK8N/tJd+BMefAQWfQMIJBGplEGIcUdZrzDXDMbg4KeZtfh74OOmNXfRd\nHsX13MAsvFzJRJ5jEcWEuIM2fLn0S75K/xfv0J0RnMwQOjGKrnzHGXxDb4ZJE+qymtGmB5fzByNY\nTD4BABrRmIH8k1a05nM+5Rd++rtjSDXa0oHHyGM12fxJJ56hIedjjItY6wMghmL7GkSCu3a4Ri+o\nd114vkX/XkXn7KFQkAXT3ih9oK67H5bOgfRJpZ6qcf31YNvs2M91r/bXXMPa8eMpyMg4os9IVQ1a\nxCqbrG+geDU0e8zpJGWrOBfGPQPdBkGL04/9+29eC5+Ngseug9vOhis7wpn1oUcynNuEHf27ARA1\n6RdiG9bFmjsB2qfC+pmQehlk/4Q0vhUfT+Ex17PR5FDEFtIYzhTms6h2MZcvtGjx2es8VjyJESym\nByl8wmm8yimcJY2YldiLj6Pa8J7Pz5teP697fUwPBAkKJBNFqozhYfsNPuUkBtCcyWQykOmsIBeA\naKK5nH6cx/nMYDo/8yOCkE06ixiOh0RAKGLz37ttmVrEWh8SYiYBGbPnMWn5AoS8sPH1PR+v1RxS\nB8C018G293yu29nhyYG/Ld3c6K5Th8S+fcn97LN9fgRtLr0UEWHVzz8f3menqhTt2FHZbHgFqvcM\n336jMpv+Rrj5qvfDx+49t6yHsa/C1B9h3YpwZ4Q2J4Vvo9KoBdRIgdg4yN9J4ex5wCrcOduJNl7I\ns2HSO9DOgs0/Q0IcvjrrEHyIGcQaHqApV7CUDKYxhfM4n50dmvBo61RcoWyGB7vR0dWA3wJBvvAX\n8aM/SGHChZBwIRR6+d99j31APNDdbdPdHeCG6LupbWozgNr0oR5DWMAdzOQ22nARjTAYutANF26+\n51sM67H4mlqk0YFHWc0HrOQ/1KErcTQAwG264jH98clQPNIfY+LCG4+uAw3+ARteh6YPhJsZ/6fr\nLTDnfVj1O7Q6e9fjxsDZV8HHI8HnheiYPQ550gUXsOnGGwlmZeGuU2eP5+Jq1qR+Whprx42j0w17\n9nBU6n/0TKwyyZsbvm7R+E6nk5Qtf1G4KbHzPyC5/tG/X3ERjB4Cl7aGHz+ETj1gxJfwRw58MANe\n+BwefgNueQKuGwyDnqGgxyXh+3wFXMT0vSL8PqmNIVQLir5H5nvx+98kaltfVpiv8JCETWd+5Hu6\n0I0gzXnStYgTTS3ee2kQ22b8QIudBfQrKGZ5yObB2GgWspjc9DoUR2WSVyOJ7dUTmZoUz8Ox0fjJ\nZKj3IU7Ku4MPfH5sEeoSxyucQl8a8QpLGcZCAiVNiJ04geYYZrGZeC4hjWeJIpnjuYloarCYF5Hd\nxqFFmycQsvHLXk2ETe6GwHbYslcTYONToO4JMPOt0sf37KugIA+m/1LqqcTzzgMg76ef9vnRHNen\nD2vGj9/nwGilQItY5bLhtfC9wmpf5HSSsjX7HSjeAac/cPTvNfE7uLQNvDMcrr4bvl8NT7wNZ1wK\nCfvv2l2QmUlcjRqQn0+05YV6TSC0Fc4fALUgmNYTYgMUvvItmUymaUYfvuEHWtKK4+jGMyygByn8\nP3vnHR9F1T3uZ7amhySQhEBC6L13AUGaKM2uSFOkqNgQu19UwK6IKNgLCoqoCAiKgPQmnYReEhJC\nSe/ZbJ3z+2NC2i4gvvLye8M+fsbJ3D53Sc7ec8895wVzD/5v2HLubH4vXa1ZxAf7szM4gEeNZhJy\nY1lpvZE1ZwrZkgGH8xTa6/U87Wtmkf+j7Ax8iu5GI+OKrHTPL+KYy4UJHY/RjCm0ZiOpvEY8RZxj\nJ5OJZC9RVGcr+RSiedow4EsLJpPNXk5TJkh0Sj2Mylhs8g4i5QJe+tXX9luT36torKEo0HkcHPwV\nCtIqTla9ptCwJaxc6DaPxogI/Dp1omC556Mg9fr0oSgtjfQDB/7Gh+nlWsQrxKoKzkJI/RFqj6v6\nwS4PLIHGAyCs7n/Wzo8fwaShUL85/HQAHnvDLajjhbDm5mL209RsZksmRNcBlx38csEYhqNHCHqu\n4+QTgwk6YePk4vk47EUMOBLDGxwglgDGqi24uaCYuWFN+XDPZ8z/tDtHE3K5dwuE/wID/4riloKl\n9N/dlu6rodXv0OI3+Pj4GQqcO6inv5HvAvxYG+hHgUD3/CL2OzWXVL2pyYu0YgOpfMI72MihCzMZ\nwYOoqKxnXem7hNGeSHqTyHdIOZdWZuUZoACHLKr48tEPg+UYFFTyy9p2mGZYdMR9xUXPobD9Tzcr\nRYCAfv0o2rTJ42or+rrrUHQ6zuzY8bc+Fy/XHl4hVlVIXwKqBWqOuNojubI4bZC8Der/h6E61i2B\nNx+Bex+HD3+DOg0vbxjFxehLgjsa8lMhsGSvRzmMhHTHqaxDVbqTGXGWqLrPsuOBG2i/JpkFe34g\nzVnAY45m3Jhv44RLZVWgH60bj6VevV0M3RXGgTx4vhkcGWAhPbQGSV1/5dBAWHkDNAmCiTtr0mzZ\nSV6Jv5tiJ3QzGtgc5E9dnY6hBRZOqyo2svFnJs05wBr60ISPCKYR/vjTnevZzS6yyS59n1juoJhU\nMijzd6hTotDTB4csqPjyIdeDMVT7N1eegBpQq622L1aZ9tdDbiacPOKW5depE870dBwpKW55Rj8/\nwho1Ii0u7m9+Ml6uNbxCrKpwbj5U61H1Q62k7NQMOur3/OdtxP8Fzw+DPrfD5H92QNphsaBXFBSj\nEX3GKTA7IbQuFO1CDakFWEhTFIwEck4fgtUkBPefxqJ7hzL2/S94a/0G0lxO1gT5ceqsgZ5bqlHP\nx8aB4x2JvyGPcdGwLd7ExlPXk52hUMsI/WvCzz2S2TuwBSPrJjHzqJ5eayC1GIJ1CosD/dArMKQg\nhz/lCQpIZDLd8MGXDzmJoK10OtMFf/xZx5rS96lGU4JpSjKLK7ynUbkXF5tQJbksUWeA6gMhfan7\nxDTsB8c9rLhaddXcUe3d5FbFt2NHACwXWG1FtG5N6r59f+NT8XIt4hViVQFbGmSthqiRV3skV57E\njZpj36h/6Bg2Ox0eHwzNOsCr8/6xj0VncTF6EQzVw1CcDiAXQiNBHDhD8lGIIYVD1KQPW9lOC1ry\nmf4srQlBhkzlh/Y3MHvGY6z4dS/3bIE7Y2BVbyPJmZEMmZZF1ES4/zMDd6xfRLv3BxM8FiIehE/W\nbqReQA7vt2vEpr6QYoFOK+GsBSJ0TuYEbCJJtfNu4cN05RPq0pUnac5WMthQEpvMhInr6UU8cWRT\nduarDreSxW4KOVWaZlSGAH44pJIZfPhQKNwPlpMV0xv10/bEUivtYfkFQOO2sGej21waIyMxxsRg\n2b7d41xHtmlD6r59XuMOLx7xCrGqQMYy7R5+29Udx3+DnGQIa/DPg1v+/h0U5WvWh5XMvSsjLhfW\ngwfJX76czDlzOPv006SMHs2pkSMp2LIFNT0dtUgzkHDmJOO05CKYcfgkgNIem5KFQix55BJOM1Kw\nMFLq80ZEXQYoQmhAMyYVtWVS8WZmNFXp/E4UA7OWkZJhZ9YoyPzYScY91dn+6HK+fwT6tjrCxC9H\n8mZqx3sAACAASURBVNKClajiT4cw2HEj2FVhzK5MNsoIxDCDl/z/YqujGXHOagB0J4K2hLKEstVU\nO9pjwMAhDpWmRdATHUYyKVsRKUoABq7HJZVWUKEl6ty8SoInprN2P+tB/de0HSQeck8HfFq0wH7s\nmMe8sEaNsBcUYMnM9Jjv5drGK8SqAulLoFo3MIVd7ZFceax54Bfyz+v/Ph96DILQcI/Zqs1G/ooV\nnB4/nsNRURxr0YKkwYM5N2kS+UuWYEtIwJGcjFpcDC4XOEvidNmzsJ06jDXRhrNoFxmLtRVH4pZt\nmJwGjrp0BGEk3RHEIZfKI77+jGz8LP05xasf9+e2J46QnquyZdRG9gQ3ZWDYMWZ/5GDt3t40i3By\nV9ejfDS+DTNGLeWDFa24bSYUWqG6XwaTOyxg5enqbD91G92Zy6PGW2io0/FecVkMsf5EEU8OGVgB\nMGKkLvU4Tpng0GMimGbklHNTBaBT2uNiT8WVkDEUzLWhsGJZfAIhuBaku+99Ed0AUk54NO4wxcZi\nP3nSvQ4QFB0NQL6HPTMvXq64EFMUZaKiKCcVRSlWFOUvRVE6Xuk+rymcBZoqMeLWqz2S/w7FueBT\n7Z/VTT4Gh/fAzcM9ZucsWMChiAiSbr6ZwrVrqTZqFPXWrqXp6dO0sFppcvw4DTZvpv7Gjfh3744+\nLAxzXc1C0hAAfl2bYWzaGV2Qgr1eI/RZkKieo/ryg6w9vpWWq+N4NzGJdgrsSdST41D4+Ja6TBh0\nnF32eizNGUVkaF3Gb/+GhgPq8/ZsM3fP+pEa3QZz2ygXi5aM4rG+A1j2FKw9KHSemsvvhY/QIeYX\nBkVn8N6ue3DYo9ErCpN8TCx1ODnp0s5+dScCAzrWca70fRvRiGSSsJYINoBQWpFNXOn+GYBeaYeQ\ngVBJiAS2ggIPK67wJhcWYkUFkJPhlmWMjcWelORRZRhcIsTyvELMiweuqC22oih3AzOA8cAOYBKw\nUlGURiJyQd2AXV2ATd1yvpWS/ysVniveL/Tz5eRXfL50f0o5gwBPbVy6j7J+Kl8Xr1OhfvZW9GJH\njk6GUzMAXcm4zo9PV/Jzpbtbmq6s/AWf9Rd4Pl/O4CFPD+i1u6IDzpfRo+gMZWXOX5WfFb3W7vk2\n8o5DaiK8FqWpFHUG7a43llwm7TKYSy4fMPqB0R92l6w63poAH00GHz/NA4fZj7zTBaT8urd0qnXF\nuRQt/AbLT/NK5gjtPRUFRVEoPJeFy2bHmZuONNSG5kw9gjXdCN0h15KNcb+ZzG6R1H9tB6m31KbD\nB1+w+dWxTB03lncHfcaYnE2sfOQA8+3P80PGSLafDGPyTTUJ8xnA69e9zINPbSAj6QwLz/4fi1a3\n5oHxn7F7hzD97Xi+eGUtY6c9wPzvp7BwfCxNOgTQ4FeYdRRebgnDzEZeKLbytc3OND8fAjDShRqs\nJ5W70ARvIxqznGUkkkAzmgMQQisSmEcRpwigDgB62gPgYi86YiglsBWcnY8bNRpDgruvRGrX1+6n\nTrithE2xsagFBbhycjCEhlbI8w8PR28yeVdiXjxypQ8UTQI+FZFvARRFeRAYCIwB3r5QJZvMpljK\neySXCnfFLd3Ts5Qrd4X4/2CfWQkUTHV1aM4WSr5lV5yu0p+Vi+SVvyuVy5T/dizlrspl3ep56FPK\ntVe+DVHc2leQiv0JKDUBH0DOaWlqSZ4LcJY8X+gqBOoCjkwozoSCknou8LVASLhmQCcqiDMLHOVe\nveKQ0TlAUUEnKkKJfPNVUWw2BBO2IAP64zbEqMdQsn+nlhyebnYqkUxTNYZtf5eXnVMZxDJ6Kqup\nnXOacY0+591bJ1NUzcyEN55hzIhfGPfka4x5uhEz3p/GzLfa0m3yK0THBDD2xqF8u7oF+rFQ0xcG\nRMEmLfIKfopCD4OBva6yc1/NqMY8TpQ+VyMEM+YKpvb+aKseK+mlQkwhEjAicpYKv1Tm2mBP1Sap\nvIVnYCRYPHxHPS+4CnLcsgxhmirckxBTdDrMwcFY8/Lc2/RyzXPFhJiiKEagPfD6+TQREUVR/gS6\nXqzuNv11pOo97Xt4lhoXFlaVylcOB1EqFC8kJKmUfx7Vgx7Ws4B1rysV1ldlaZ7Llc93f09B8QEa\nuPeneGjDvc2K7165v/NUbKusn7I1YvmymvpKE26Vx1S+bsU67m2VvbNSbuyKqCCCTrR8naqiCCgi\nKOfTVbXCXaeW/KwKiqq1L6KguFRwKegcKjqHSqBTRecQFBWQkruqtV1uCgEwveDAeVDQV4fzrgX1\nIWCM1WNTQW1oxhipvZV6fxA6cZE9IZoIZyoZ7zaH0xDyzDm2zryOl4ZMYc7JCej2uxi26Gs2+Lbn\n8X7PcmJPDIvW9+eVsMV0vHEfHcdMw/DeIuK++YBhz0ThbKbj/cWwPwVa14FW1WD2sTKZUl+vY5m9\nzBN9OD5YcFGIgwCMAAQQSCGFpWWMaILWTpnAUBQFhRCEcp47AAzBIE5Qi0HvV5ZuDgRrAW74+mt3\nS6FbllJycFy1WNzroZ0XcxYXe8zzcm1zJVdi1QE9UMkHDWlA44tV3EhXDpZ8C/xX+e/FS/RyGXPt\nLsA97f0rbu2WiKOSFZtSIvTU0mLadf5Z0CEIgl3MWMQPC77YXD6AoMOFERd6xYmupB0dKooiFYTs\n+S8vtUM/oJbhOKm+AUSY8gmgCLvBQFxYc2oqp8k3B3HYqEVB/r7m3QgK39cYhk0181rAC5h9ihnp\nmo/DZWJRu6Ecm9UK/z4FTNR/QOJAH6yJCk02FlD8lpUpQ27n/h/a8Pqt3Rl9l4l5c2sz/Qno2hDM\nRlh/qEyIZdogzQqRvlBPpyNZVXGIYFQUapREa87AWk6IBVBImcDR44MOUwUhps1fNaTcig3QhBiA\nM89diDksWry38jHefErKeBBiOn9NwJ239qyM0dcXh1eIefHA1fBPpHAJRdy2wm4Y8ltWWrGU7I1J\n+aeKP18orbym4/xel1Ip5WK7WeXrlbbpsT+lQn75Hi64G6e453vqQ1uFVGy/yKWQWFj2B18tXcSU\niIULqA5L11Cl6UpFdZmUG6WUr+epfvm6ipu6EbRVj1t/6vn2KvdT8VlEm5uSnTYQcJxXG57vRy3X\nr1ouTy3pR0VTG6poKsc8HZKuwGkgS8BV6Z+jUvK/i5g93b1rMWH5KRRIEMUmOwEUYRQn6QciMZut\nGGs6SNpaj7CumSSsbUxg/QLOZtdGUhXSD/mCEeK/6wBGYd+YjnDIiMViJrdrbUjKhiH1ObLBl4DX\nsqhWnMCXdzbAfPRrlNGhnJs7gQc2zKdRvxNE1B3D58cKyL/pJzKDw4BHeS7vG+r7niRBF4uT23hW\nnUmIPp9izEBbZvEFYSVCyom2UjtcztS+NbCGZZxlf2naXRSSzXr+5JXStBhDMqOBj5yvkWWuXpre\nzHyA24G3bS9i8y13jEEPz/kYWFv8EzsqGYn4+WXTD/jW8jGZuLutUn1zybRsYEe5/r1UXc6WM0C6\nFFdSiGWi/emoHK0wHPfVWQVaTXmT4ODgCmnDhg1j2LBh/+oA/9fZkgHdN8EjjaBxIOgU7TovHHV4\neNZpz5XL6pWydAUPz7oSE5Fy+TqlLE2vlKVdKF9Xrh99pbTyP+sq5Zf/EjLzd3hhIbw3Agx6MOjA\nZAKjAYx67TIbwWQAk167+5jAxwhmA9RpAQ+OgILMdObNTWPp0hgaNTKj0ynodO5nnyuvCM8/b3hY\ncO6GeuEQ6leiJlWM9GiooFZ3kIqBW9q42GpQGd0J4v2cVAsQjDEQ4ivsK1QYFqUybbmevz4Uet4s\nDL9e+OnbXHKAwM0ZFCTXoeiED4Vb/Qnq6UBXuwGBC9uiKMItjZpSU+oxJyuC6xoY6Et/4qya38c+\n5tY0oCGKaL9DA5TrCETlHC62UURX2hNT8qu/ix3o0NGODqXvmM8O6tOEZlxfmlaNnzATS1/6l6YF\ni3aerIvuBmzULE2v7lKBRfQ03IhaGkRGmzyD41UaGloSVK4dAMWRDHxIO2NnVNwPsm91zifUWJcm\nlep5+d9n1YLV/LmgoquywjzPK3JPXDEhJiIORVF2A32AXwEURVFKnj+4WN2ZM2fSrl0Vj4f1L9Ax\nFPwNEO0Hj1xUQVt1OJUFdarDQ/0uv25+Pqg26HkdDOgTxp8rM5k7N4dFi+qgXKbrqV1+CoUGBaNR\nh1404wlFMeNvNmAxFGDSBeJX4ku4TjUdm7DTPEDPBqfKzdF6Fu2F23voeOlX2HJMaFCnmK/mGaim\n19OiQy0O7EpBZzmEekAl5Dp/fBe62G8M5MznsQweALfXaU9iGqRlwb1No+hKFPvywKDA3UFtMAHr\nVRthip3+ui4AbCMd2ENvOpWqFvexl9rUpitakE8VF6uwUp+WRJekARRgJ5imxJZLw6EF02xn6A2U\n28O27gOdgc6GXlTQLzhs4HJRz68V9cq3A1iKzJwAWvp3wQ/33/2dFoj2q186Ti9Vh67DruPlYS9X\nSNuzZw/t27f/W/Wv9Dmx94DxiqKMUhSlCfAJ4AfMvcL9XhOY9NC9Bqy96Lq2apGSBTHVL13OE8cS\ntHvNSAgK0jNzZhSLF+fTocMJvvgii6Ii9eINVKJU8JVaAJpB1QH5GMQfPQ4AAnBhxUUdvZDoUqlr\ncmJX4a056RhsDh5/o4ATh9JwiomIho05fiaEjndEo1pd6NoFcv+caHL0YShbozh+0IBz3CH+4Ayr\nD6noFOihbb0RnwNNg7V/FwCJLpX65ZaWGVjRoRBabnVUSAEBBJQ+OykABBMVNSFCDgqVjK2cJftm\nhkoha2wF2r5Y5S8G5/fC/AKojJQYdOj8/NzyQHPzZfD19Zjn5drmigoxEfkRmAxMA/YCrYAbRcT9\ntKOXf0TvCM2s2uq6dNmqwJlsqPUPHXb8uQF8fKBLiebs7rursWJFXaKiDIwff4ZGjY6we7dn67iL\n4tSEFaoZxQUgmDGjlBwiNmMDIPNEPjbg9nsSAfj1iIsGATaqtw3l8NE6BAfBwSM6OvaEnUoIzy5p\nifp4HXoGGlBW+XDk2RbENnLSoqeVN2U/U7fm0TzWRTV/bT90U4Zm3HGe/S4X9fVlv+JnsVAdM/qS\n1ZEDB0UUEUBZ+BlbifFGeSEmYgMKUKho+o4jG/SB2iG58ljzNP+WlSnK1+4ehJirQDMuOW/gURl7\nURHGCwg4L9c2V9xjh4h8JCKxIuIrIl1FZNeV7vNaYmAUWFywJvVqj+S/g48JbM5Ll/NEi6ZgtcKJ\nxLK0AQMCWbasLgkJTahd20iHDicYNOgkX36ZTUbGhTtSFAV0OlSXgN1WYkwShFJi0u5n9yGzIBny\nAvjpl+O4ChW+W3gSXbaLzu9Wp3c1F+H3R7Ls7QAUvY4Ok3XkFUC/XrBlNRg3Q/zPCnytcHd3BctD\nfuSJ8PMnBqY62hM4pw/nDoagv2Mf33KCb5JUDubBuJLzxPucLva6VG41aTsGgrCJNNpT5posmSRU\nVGLKWQLncgjQEUj90jQVzZmvTmlacRKKDoO/Bz12VoLm0b8y55K1e2SMW5bj9GnQ6TBGRrrnWSzY\n8vII8JDnxUsVj55Y9WkWDA0DYclpGFjrao/myhPsC3n/YLEE0LcnBAfBD7/A1Ocr5tWta2L9+vr8\n+GMuX36Zw7hxpxk/Hjp18qNhQxOxsdoVEWFAp4O0dBd6u0J+vgtCwekwcSbRSH5+OtFNFFb8kE/T\ne09zeGEXYq8/S/TZ+tR93kUDfJkRaucXFPr8obD0DNQ4BYeCocc4+PAxaPII9AmEowcAB9zxAHS+\n28HkyGKy8af3a3r2JhmZ/5iKpW0AnxensHN3HW6u46RnhAmAWVY7MTqFgUbtV/wIeZylmCfLGWAc\n4yjBBBNOmfeMHOIJoiEGylY9LtkNGNDTsuKkFcRDkIdoAulHINbD3tWpE5rlTFSsW5Y9KQlj7doo\nRqNb3nl3U+fdT3nxUh6vA+D/cRQFbq0NS0+XM7GvwlTz/+dCzMcHbh8M83/ydA4NfH11jB4dysaN\n9UlNbcann9aifn0TiYl2vvoqh7FjTzNoUBI335zElq3FpGepnD2tqQwz8oPJSjMRFZxCXk4dbuyp\nYjCqPDssCt+YXIY1CuGUXwF3+mgePnb4OhhUDZ7eD+lWmDYINp2C/m+CbyD88LEW9ozn4Kb7YVxT\nA03SDNz8ssKJdGH9FBjeRcc4GhO4uzuKArntNzGNfWx3FbLQ7uAxHxOGkn2pNZwjBBNtyq3EjnGM\nRjSucHwkm3hCKgkrF3vQ0RxFKbcnpTqh6CAEtK44iaoLMo5p/hMrk3JCW4WZzG5ZjqQkTLGxHj+3\n8+6mgrxCzIsHvCuxKsCQ2vD2YdiWCd1qXO3RXFlC/SH1P/A+NPJu+Oo7+HIejB114XLh4QbGjg1j\n7NiyP/o2m0pWlgsRWPNgMJa9JmJLvgbWrF2Dmg38ICAN36AuhIWd5Rx6gvWF6NARSDoGFHbpzjHC\nFMVbOXYKXzDiO0aH8jAM6A0tGsOw2WBzQP0noHMDIAumHYQXChROZflirKnS5Ekrnev6oQq8GAcr\nThn57joh2KcRcyWBTyyZ+Ckh3G/WVmW52FnNWfoTVbofdo6zZJPFAG4qfb9CkrGSRihlgklEcMkW\n9Er3ihNUeEAz9QysJMSyEsBp9SzEko5oToA9YDtxAp9mzTzm5SYlgaIQVOsaUDV4uWy8K7EqQNfq\nmpn9d0lXeyRXno71ISEN0v6hIOvZDSbcBw9OhpVrLlm8AmazjqgoI7VqGQkM8UMx6pD8koEooZCn\nGScY82qi8hfVpRnZbKU5LdjNdoZQm28lgf3TnBTlQ525xRwYKdQPgp5/wvYiTYB9PxHG9IIiG5AP\ngX4w7Dr4YpzC3JdUtgc7WZ7v5I5N8NYheLct3BurMJBoalk6ke0IoZb/Eb5XjuFEZVbJQeZh1Ct9\nl3WsJZRQGtKoNO0USzARQg06laapxKFyDIMytOJkZCzTjDqqdamYfnyt5qWjTiXPciIQtxVaVioP\nqHY71vh4fC9wrCZt/37CGjbE4HPx+G9erk28QqwKoFNgeCwsTAZ7FbdS7FliW7Dx8D+rrygw+224\nqS/ccT/sjb90HU8YfH015yB5eajBNcDlBxknwByNIccBOImhBjnspwOx5JKDssNO4Ukf7CMOML3I\nTEqMiw9MNlb3FobWhrfOQlAvkFrw0p3wxwtAD3jiXnjjHk2w1bUb8In3ZchvetamwdLrYXLJnHxg\ntfGxzckHfj48bwpnIUmMZhPrSeUxmpaa1qeQwhEOcwN90KNZFjoo5Ax/EM0gdJhK39MhC1CogYG+\nFScgYynUuBl0lVSDx1dDTBd368Sko1oIlnY93ObSun8/YrPh26mTWx5A2r59RLb5h5G8vVR5vEKs\nijAiFrLtsOLve2v5nyQqBBpEwIZ/KMQADAb44Qto0hBuvhs2br38Nox+frhKNtacobXAooKtEEwd\nUXJ2o6Mp/pKMSaqz88hmzm5uxH7/TYR/1xL/lnlEtU9hlp8Pn9jsDLNa6KEK7ILIMBi+FcJ/gTtL\ngil/dBxu2QjtV0DXVQrmPAO6xjbWDHYxuLam8ptjtfOMxcZTPibG+5i5h7q8RXtSKUYB0rHiKvHl\ntYbVhBNOS1qVvs8Z/kDFQTRDStNEXDhkIUblLhSl3M6DNQXyd0ONSqsz1QUn1kLDSgIPYM9Gzaij\nlbvv7+IdO8BgwNeDoBIRUuPiiGjd2i3PixfwCrEqQ/Nq0CYEvkq42iO58vRuDsv2gvM/WHX6+8Py\nBVA3BnoOghET4MzZv1/f5O+Pw65FTnYEhkNmiXNcey0tUGRRD4qKV/DLxzdhrrMKc3xzIpqnMW3K\nKe5V6jGXE7TzyWNZoB/b7C4mRRYy8DonR2+Hk0PglZaQrh0vo8ABThUaB8HiHpA0CKLqOvjO5WCv\n00XfAgtPWqw8ajYx3VdbGRXjZD4J+GFgMLX5nGO8Rhw72EUiCfShH7qSX38HhZxkIZH0xIeyk+RO\nfkU4h1G5t+LLn/sBFBNUv6li+snNWtDSxh5cQ23/E5q2B/9At6yiLVvwbd0anQd1YU5CAra8PCLb\ntv07H4uXaxCvEKtCPNwQlp2BRHcn4VWKh/rCqUxY8A9WUOWJCIfNK+CLWbBqHTTuDM+8DAknL13X\nr0YNLDk5iKJgNYZAwiEkOIYzB504XCY+f92M2SeT2pjwMwYy7uHltKAlS1lMf3zpRHVeZh/VdQXU\n/ioAs0XH6t4Wbi2wsMPo4OGmwpySQ9lfd4XlveD7bnBLtLag6WzQ87XNTtf8IrJFWB7oxzv+PugU\nhVMU8gh/cZR8Xqc9k2jBK7QhjhMsYylNaUMTys58HeUTnFhoxPjSNBEnNvVl9PRFr5T5VUS1w6lZ\nUHM4GCtF2N7+BVRvoKkTy1NcBJt+gxvco4+L00nBihUEDhjgcZ4T16xB0euJ6dbt0h+Kl2sSrxCr\nQgyPhWommHPsao/kytImFga2hTd+BfXyPEW5odPBAyPh2E4YPwq+nA8N2kOjjvD4c7D0d9i9D1JO\ng82m2ScUFYHdFInTaqU4oi479wA2K3/saEXe7vWsPHALw7v+gcPajUcmfExz/XhS2cD11COcCBYw\nn8epQ0OCmKTbTkHDBJb5+/C1vw8ZqsrIomJq5RTwhMuCvomV7wxWXi22MdVi5cb8IsJzCvjV4cQC\njDMZ2RnkT7+S82BrOceDbMOJ8BFdaFniKqotfnTgOFYCWUg1dpEFQCa7Oc1vNGYCvuV8dTtkHipH\n8dG9WnHCUn8E2xmInVwx3ZID8T9Dp7HuXpQ3LgerBfrf5Tb/lr/+wpWdTdDgwR4/n5N//kntzp0x\nB3nwAOLFC14hVqXwM2geG75MgELH1R7NleXFoXD4DCz5l/y/VAuG916DpH2weB7c0B1+WQ63jIAO\nvSGmFfjUBFMEBETD6Ge0P/hbM2NJPZaFEwPhNWrRLOQwAwf2Itz3IMHOYajsorrkUo3mnOBjhjEM\nI0Z+5jvuPNmCpEUNqDMkke8abKer2cbm4ACOBAcwxddMpgj66k5WqA6+str5yubAT1GY7mdmZ6Af\nnXQ64lwqeqAIJ7M4xHTi6Eo4n9CVuiXupIoo4hvmYkBhEg/QmBCeZRfzOMgB3iWUtkQzqHQuRIqw\nyTQMyp3olXJqPBFIfldTIwY0rziBe+ZrZ8c63uc+uasWQvOOEF3fLSt/2TL0NWrg27GjW57qcnFy\n7Vrq9vWwx+bFSwnec2JVjImNYMYR+OwEPNn00uX/V+naCPo0h2cWQP9WEPAvWV8HBsItA7VLRNsn\nS8+E9AxIy4AiiybwfAqi2D8GOgyKpPq2NeibtaF99SwwBaMkJkBgTQynd2BoMhCbPEdTWcg25TnO\n8SMjGM1n6qcsUOYRefg+PlRr8I5uP2PYQh9q0lcfxRO+YZw5ZGb5GTg8xPNYn/czMbI4g+ckkXgl\nFRcqT9CMIUSXHmA+w2kWsgAHDsYwlhqE8TqhfMNRcplBKNm04W2Uct9nrfI0QhY+yvSKHab9qO33\nNZ5ZMd3lhM0fQvOhEFgp8lJmqqZKfOxNt/GLqpL3888EDR6MUnn1BpzZvp3i7Gzq9/sHIQu8XDN4\nhVgVI8YfRtfVDj8/1BB8q/An/MkD0OZ5mPg1zH3Q3Wn6f4qiQO1a2lUZl6MuBycYUWqF4ExLw9bo\nTnz+/BYm3Qc7voIRT0LyVHzqbaHQNBCTfERjZQJH+Rir1czvn95H93Ffc8sLH2LUD+EzuvI7Z1hM\nMms4RxBG8iMjaFQtgDWYqIaZAAxkYCWFIs5g4bAxl1amQvapZoZTl5uoXRpiRRB2sYPf+Y1IanI3\nw6iGtoeloNKBXzhLIku4nT84w6tEEIwJuzoPh3yJj/IJOqWc/0NHHhx5AsJvg9AbKk7Gzq8h8ziM\n/NF9on74EIwmGHq/W1bh2rXYExOJ/vZbj/Mf/913BNaqRfR13vArXi5MFf4Td+3yfHOYe1JTK1bl\nOGMNIjVBNvIjuL4JPHDDpev8W+iNRsIaNiTfbidYr6eIYHwK8yGgPRR/CJlBoPdHl/QtPo3fwyoP\nUFuGUmgbxxmfz2lRD+4qmMgBv6XM51ta0ZqbGMhQokmggLVyjq8D09HVPMurVNz480NPbfyprwSh\nWmPZZA1iRHAguhIpnkIKf7KKkyTSic4M4GYMJb/qLuzEMZ0MttGaF4mhHS+wm0fZzjtiwlcewajc\nh0lXSeiceBFchdBkVsV0uwVWvQJth0GtSibylkL46WO4bTwEVjICAbI//RRz8+b4eRBSLoeDQz/+\nSOv77vO4SvPi5TxeIVYFaRAIw+rAW4dhXAMw6y9d53+VEd1h0xGYOBfa1YW2sf+9vms0a0bmiRM0\n7tCBwiMJhEXGwJ4d0GwwbP0MbnsOTryAseYInIFDsLgm8ug7e6jfUuXOW74kGIVR3Ecc+1jBbxzn\nGJ3oQmta07uwMROWN2Z5T6F3LRc52CnAQQ18CMFUqi7cqHfyvWphh9NFjDGN9azjCIcJJ4LhjKQx\nZe6fnBSxhynkcpB2vEoNulATmE0XXpEN5KkTUahPoPJ+xRfN2QQpc6Dx++BTu2LeltlQmA43VlI9\nAiz5EiwFMPwJtyxHWhp5S5YQNWOGx4CkiatXY8nMpNXw4Zf9uXi5tvAKsSrKi81hQTJ8fBye8ODG\nrioxaxTsSoQb34TVz0PrOpeu828Q0bo1W999F7+HHiLn88+RZ0ag/PYtzJ4P3wyEooYQ1A7lwAjS\n6v+Bzq8nrw6/lTDzr5iA43xJMedoxoM0ZBJrWM12trGBdRiNtenWrDn1w+sihFETX6LKeZYXBAsW\nqhkSucX/CL/pk1HIIZRQ7uAuWtCy9BwYQA772c+b2MmjA29X8I8YJYXMUKdjpYBJupcZr+TRkxJn\nv9YUiL8bqnWDmEcqTkBmAqyeBl0mQPVKRhtFBfD1mzDgXoh0d9yb9eGHKCYT1UaO9Di3ez7/NdVG\nKQAAIABJREFUnBrNm3sPOXu5JF4hVkVpGqxZKk7dr3nzqF6F3c75mGDV89D/DbjhVVj2FHT7L6hR\n6/Xrx7opUyhq3BhXVhYFtdoRZPkI9hzUvFb8MQUeXIRjW2f2/fY8X+YsY97jgzHq++Inv2FWQjnC\nR6SzjSY8zGCGchMDOcZRPi3cy/Ut1vG9YaX2jvgQTDVcOCmmGCtWXLhAgbrGME476vGcuRkNaFjq\nSgrAQirH+JRU1hNMEzrwNn6UbfK55AgWdQg67IToVtFE0TGNOJ5Hpa8zEPYMAsUIrX+uGPxSdcEP\noyEgHG5+w31yvngVCvNg4qtuWc6sLDJnzaL6I49gCHGPcJqdkMCRpUsZ9MknHldpXryUxyvEqjDT\nW2mrsZf3wxx3C+YqRVggrHkRhs6AXq/CjOHw6I3/vrFHeaI6dMA3NJSUhARqNWlC7so/CRo0CubN\ngE8Xwcfd+f6LLSxK/4pFN9zBgF49MRnXYlFvpki9gSjd79RQvuUwc9jPG5zhDxpyP7HOFny+pgWv\ntrYxrEkm2SX/5ZGLERM++OCLD374E0MdfnH4MqvIykxjIHqd9sJ28kjiJ5L4ESNBtORZouhfwQrR\nKVuwqLejIxI/3Z/olBheQDBxgDfVvbSMn0GENQk6bgFzpYCU69+B5K3w0AbwqeSFI+kozJ8J46Z4\nXIVlvPMOiFDjqac8zuv2WbPwDQ2l1QVWaV68VEBE/r+5gHaA7N69W7z8O7x7SET3vcj+nKs9kv8O\ndofIpG9FGCZyzwciOYVXtr+f7rpLPuvYUVKnTpX9AQHiOrpf1HY62fvmbPl18nDJnlRN5i5JFvXQ\nYyKrjCK528WlnpICZwvJd0aLQ90uIiLpsl02yHBZIb3kd8e9cm/cXDmQf+5vjSHR6RJTVp4steXJ\nOVkve2SK/CF9ZaX0l2PypTjEUqG8qqpic82VPGegFDr7iapmV8h3qU6JP3iXOFfpZHnml6KKWrHD\npL9EnjaILH/WfTCqKjK+j8jg+iLFFrds+7lzEu/nJ+deeMHju1iys+U1f39ZO2XK33p3L1WT3bt3\nCyBAO7mE3FDEU3TAq4SiKO2A3bt376bdBcIyeLk87C5o+TtUN8OmfprH+2uBn/6CBz6HQB+YfieM\n7A7GK6B3iJs3jyWjRvHQ+vWk9uoFM78ldd1qWp1ZxdODtvOl0hNTUBg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8nsEffUT7cWMB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53WEgImB4NcHg1zcijEtHCQhEJLxBeOpZ4HeY9lNDFWGwIXjULMZ1xrWe66LMo7vJp3WJB3eNNx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\njQAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        }
      ]
    }
  ],
  "metadata": {
    "toc": {
      "threshold": 6,
      "number_sections": false,
      "toc_cell": false,
      "toc_window_display": false,
      "toc_section_display": "block",
      "sideBar": true,
      "navigate_menu": true
    },
    "nav_menu": {},
    "kernelspec": {
      "name": "Python [Root]",
      "display_name": "Python [Root]",
      "language": "python"
    },
    "language_info": {
      "codemirror_mode": {
        "version": 3,
        "name": "ipython"
      },
      "file_extension": ".py",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.5.1",
      "name": "python",
      "mimetype": "text/x-python"
    },
    "gist": {
      "id": "",
      "data": {
        "description": "等角写像の描画",
        "public": false
      }
    }
  },
  "nbformat": 4,
  "nbformat_minor": 2
}

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