AIAT_tutorial_radio_telescope_developing.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyOsjyzVaUOpYZ7ARXkILSdl",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/Boltfox/Radio_astronomy_tutorial/blob/main/AIAT_tutorial_radio_telescope_developing.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "import matplotlib.image as mpimg\n",
        "import matplotlib.pylab as plt\n",
        "import numpy as np\n",
        "from scipy import ndimage\n",
        "from scipy.spatial.distance import pdist"
      ],
      "metadata": {
        "id": "HyQWgV5NVHPS"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "def FWHM(x, y):\n",
        "    deltax = x[1] - x[0]\n",
        "    half_max = max(y) / 2.\n",
        "    l = np.where(y > half_max, 1, 0)\n",
        "\n",
        "    return np.sum(l) * deltax\n",
        "\n"
      ],
      "metadata": {
        "id": "uQcarrnQYHuO"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "def gaussian_2d(size, sigma, center):\n",
        "    x, y = np.mgrid[-size:size, -size:size]\n",
        "    x = x - center[0]\n",
        "    y = y - center[1]\n",
        "    g = np.exp(-(x**2 + y**2)/(2*sigma**2))\n",
        "    return g/g.sum()\n",
        "\n",
        "#deg=(np.arange(512)-256)*180/np.pi\n",
        "\n",
        "fig, axes = plt.subplots(figsize=(6,6), nrows=1, ncols=1, facecolor='white')\n",
        "sigma = 3\n",
        "center = (0,-5)\n",
        "center2 = (0,5)\n",
        "img=gaussian_2d(256, sigma, center)+gaussian_2d(256, sigma, center2)\n",
        "plt.pcolor(img,cmap='gray')\n",
        "plt.title(\"A simple 'real' image of the sky with 2 point sources\")\n",
        "#plt.xlim(0-2000,0+2000)\n",
        "#plt.ylim(0-2000,0+2000)\n",
        "fftImg0=np.fft.fftshift(np.fft.fft2(img))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 390
        },
        "id": "2VtbL2nYeJMV",
        "outputId": "a296ee9d-07d1-4a28-b587-3f51768db7e6"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x432 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def circularSamplingMap(imgSize, outer, centerX, centerY,inner=0):\n",
        "    \"\"\"Return a circular sampling map of size [imgSize, imgSize]\n",
        "    imgSize: image size in pixels\n",
        "    outer: outer radius (in pixels) to exclude sampling above\n",
        "    inner: inner radius (in pixels) to exclude sampling below\n",
        "    centerX: X coordinate of the center of the circular sampling map\n",
        "    centerY: Y coordinate of the center of the circular sampling map\"\"\"\n",
        "    zeros = np.zeros((imgSize,imgSize), dtype='float')\n",
        "    ones = np.ones((imgSize,imgSize), dtype='float')\n",
        "    xpos, ypos = np.mgrid[0:imgSize,0:imgSize]\n",
        "    radius = np.sqrt((xpos - centerX)**2. + (ypos - centerY)**2.)\n",
        "    sampling = np.where((outer >= radius) & (radius >= inner), ones, zeros)\n",
        "    return sampling"
      ],
      "metadata": {
        "id": "0o2CYY1KeFu7"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "TZDZasMaVA-6"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "imsize=512\n",
        "D=2.4\n",
        "lambda_=0.2\n",
        "Dl=D/lambda_\n",
        "sampling = circularSamplingMap(imsize,Dl, imsize/2,imsize/2,0)\n",
        "fig, axes = plt.subplots(figsize=(12,12), nrows=2, ncols=2, facecolor='white')\n",
        "\n",
        "axes[0,0].pcolor(sampling,cmap='gray')\n",
        "axes[0,0].set_title('Telescope illumination (D/$\\lambda$)')\n",
        "axes[0,0].axis('off')\n",
        "\n",
        "axes[0,1].pcolor(img)\n",
        "axes[0,1].set_title('Real sky image')\n",
        "axes[0,1].axis('off')\n",
        "psf = np.abs( np.fft.fftshift( np.fft.fft2(sampling)))\n",
        "axes[1,0].pcolor(psf)\n",
        "axes[1,0].set_title('Telescope resolution ($\\lambda$/D)')\n",
        "axes[1,0].axis('off')\n",
        "obsSky = np.abs(np.fft.ifft2(np.fft.fftshift(sampling * fftImg0)))\n",
        "axes[1,1].pcolor(obsSky)\n",
        "axes[1,1].set_title('Observed sky image')\n",
        "axes[1,1].axis('off')\n",
        "\n",
        "for ax in axes.flat:\n",
        "  if ax is not axes[0,0]:\n",
        "    ax.set_xlim(imsize/2-50,imsize/2+50)\n",
        "    ax.set_ylim(imsize/2-50,imsize/2+50)\n",
        "  ax.axis('off')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 701
        },
        "id": "VF8_AtIDjas4",
        "outputId": "993a1284-19ae-4f24-e499-06c2d2237ef9"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x864 with 4 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "imsize=512\n",
        "D=10\n",
        "lambda_=0.2\n",
        "Dl=D/lambda_\n",
        "sampling = circularSamplingMap(imsize,Dl, imsize/2,imsize/2,0)\n",
        "fig, axes = plt.subplots(figsize=(12,12), nrows=2, ncols=2, facecolor='white')\n",
        "\n",
        "axes[0,0].pcolor(sampling,cmap='gray')\n",
        "axes[0,0].set_title('Telescope illumination (D/$\\lambda$)')\n",
        "\n",
        "axes[0,1].pcolor(img)\n",
        "axes[0,1].set_title('Real sky image')\n",
        "psf = np.abs( np.fft.fftshift( np.fft.fft2(sampling)))\n",
        "axes[1,0].pcolor(psf)\n",
        "axes[1,0].set_title('Telescope resolution ($\\lambda$/D)')\n",
        "\n",
        "obsSky = np.abs(np.fft.ifft2(np.fft.fftshift(sampling * fftImg0)))\n",
        "axes[1,1].pcolor(obsSky)\n",
        "axes[1,1].set_title('Observed sky image')\n",
        "for ax in axes.flat:\n",
        "  if ax is not axes[0,0]:\n",
        "    ax.set_xlim(imsize/2-50,imsize/2+50)\n",
        "    ax.set_ylim(imsize/2-50,imsize/2+50)\n",
        "  ax.axis('off')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 701
        },
        "id": "enrWLCOpR6uB",
        "outputId": "b359d595-6567-41a2-b825-0197727df116"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x864 with 4 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def caluv(coords):\n",
        "  # physical coordinates of radio telescopes\n",
        "  telescope_coords = coords\n",
        "  n = telescope_coords.shape[0]\n",
        "\n",
        "  # wavelength\n",
        "  lambda_ = 0.2\n",
        "\n",
        "  # convert telescope coordinates to sky coordinates\n",
        "  sky_coords = np.zeros((n,2))\n",
        "  for i in range(n):\n",
        "      sky_coords[i,0] = lambda_ * telescope_coords[i,0]\n",
        "      sky_coords[i,1] = lambda_ * telescope_coords[i,1]\n",
        "\n",
        "  u=[]\n",
        "  v=[]\n",
        "  for i,j in sky_coords:\n",
        "    for m,n in sky_coords:\n",
        "      if i!=m or j!=n:\n",
        "        u.append(i-m)\n",
        "        v.append(j-n)\n",
        "  print(u,v)\n",
        "\n",
        "  # Calculate u and v coordinates\n",
        "  plt.scatter(u,v)\n",
        "  return (u,v)"
      ],
      "metadata": {
        "id": "wqehCEswiuLI"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "tja-RvZ6ZFsR"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "def earth_rotate(coor,T):\n",
        "  deg=1/(240.0) #The Earth rotates 1 deg per 4 mins\n",
        "  new_coor = []\n",
        "  for i in range(len(coor)):\n",
        "    r = np.sqrt(coor[i][0]**2 + coor[i][1]**2)\n",
        "    #print(r,np.sin(deg*T*np.pi/180.0))\n",
        "    new_coor.append((r*np.sin(deg*T*np.pi/180.0), r*np.cos(deg*T*np.pi/180.0)))\n",
        "  #print(new_coor)\n",
        "  return new_coor"
      ],
      "metadata": {
        "id": "vhYVmH-LXYKD"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "coor =np.asarray([[0,0],[0,10],[0,20],[0,30]]) # Telescope coordinates\n",
        "nc=[]\n",
        "#nc.append(coor)\n",
        "for i in range(0,15):\n",
        "    nc.append(earth_rotate(coor,i*240))\n",
        "npc=np.asarray(nc)"
      ],
      "metadata": {
        "id": "KDe-1FPcgCcM"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "nc = []\n",
        "for i in range(0,30):\n",
        "    rotated_coor = earth_rotate(coor, i*240)\n",
        "    for j in range(2):\n",
        "        nc.append(rotated_coor[j])\n",
        "npc = np.asarray(nc)"
      ],
      "metadata": {
        "id": "kEW36vMhmqBB"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "npc"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "q6_BRkHEhHXd",
        "outputId": "2f5d3042-c09d-4f7d-a4c2-537c9d3e014c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0.        ,  0.        ],\n",
              "       [ 0.        , 10.        ],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 0.17452406,  9.99847695],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 0.34899497,  9.99390827],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 0.52335956,  9.98629535],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 0.69756474,  9.9756405 ],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 0.87155743,  9.96194698],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 1.04528463,  9.94521895],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 1.21869343,  9.92546152],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 1.39173101,  9.90268069],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 1.56434465,  9.87688341],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 1.73648178,  9.84807753],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 1.90808995,  9.81627183],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 2.07911691,  9.78147601],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 2.24951054,  9.74370065],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 2.41921896,  9.70295726],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 2.58819045,  9.65925826],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 2.75637356,  9.61261696],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 2.92371705,  9.56304756],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 3.09016994,  9.51056516],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 3.25568154,  9.45518576],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 3.42020143,  9.39692621],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 3.5836795 ,  9.33580426],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 3.74606593,  9.27183855],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 3.90731128,  9.20504853],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 4.06736643,  9.13545458],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 4.22618262,  9.06307787],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 4.38371147,  8.98794046],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 4.539905  ,  8.91006524],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 4.69471563,  8.82947593],\n",
              "       [ 0.        ,  0.        ],\n",
              "       [ 4.8480962 ,  8.74619707]])"
            ]
          },
          "metadata": {},
          "execution_count": 858
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "u,v=caluv(npc)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 302
        },
        "id": "iPs7bU3hm7vU",
        "outputId": "75b4ec12-e9df-40b1-c89b-cc80b3b0326f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.0, 0.0, -0.03490481287456703, 0.0, -0.06979899340500194, 0.0, -0.10467191248588766, 0.0, -0.1395129474882506, 0.0, -0.17431148549531633, 0.0, -0.20905692653530694, 0.0, -0.24373868681029498, 0.0, -0.2783462019201309, 0.0, -0.31286893008046174, 0.0, -0.34729635533386066, 0.0, -0.38161799075308966, 0.0, -0.41582338163551863, 0.0, -0.44990210868773, 0.0, -0.48384379119933546, 0.0, -0.5176380902050415, 0.0, -0.5512747116339983, 0.0, -0.5847434094454735, 0.0, -0.6180339887498949, 0.0, -0.6511363089143134, 0.0, -0.6840402866513374, 0.0, -0.7167358990906005, 0.0, -0.749213186831824, 0.0, -0.7814622569785474, 0.0, -0.8134732861516003, 0.0, -0.845236523481399, 0.0, -0.8767422935781548, 0.0, -0.9079809994790935, 0.0, -0.9389431255717817, 0.0, -0.9696192404926741, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.03490481287456703, 0.03490481287456703, 0.03490481287456703, 0.03490481287456703, -0.03489418053043491, 0.03490481287456703, -0.06976709961132063, 0.03490481287456703, -0.10460813461368357, 0.03490481287456703, -0.1394066726207493, 0.03490481287456703, -0.1741521136607399, 0.03490481287456703, -0.20883387393572794, 0.03490481287456703, -0.24344138904556384, 0.03490481287456703, -0.2779641172058947, 0.03490481287456703, -0.3123915424592936, 0.03490481287456703, -0.3467131778785226, 0.03490481287456703, -0.3809185687609516, 0.03490481287456703, -0.41499729581316297, 0.03490481287456703, -0.4489389783247684, 0.03490481287456703, -0.48273327733047444, 0.03490481287456703, -0.5163698987594313, 0.03490481287456703, -0.5498385965709065, 0.03490481287456703, -0.5831291758753279, 0.03490481287456703, -0.6162314960397464, 0.03490481287456703, -0.6491354737767704, 0.03490481287456703, -0.6818310862160335, 0.03490481287456703, -0.714308373957257, 0.03490481287456703, -0.7465574441039804, 0.03490481287456703, -0.7785684732770333, 0.03490481287456703, -0.810331710606832, 0.03490481287456703, -0.8418374807035878, 0.03490481287456703, -0.8730761866045265, 0.03490481287456703, -0.9040383126972147, 0.03490481287456703, -0.9347144276181071, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.06979899340500194, 0.06979899340500194, 0.06979899340500194, 0.03489418053043491, 0.06979899340500194, 0.06979899340500194, -0.03487291908088572, 0.06979899340500194, -0.06971395408324867, 0.06979899340500194, -0.1045124920903144, 0.06979899340500194, -0.139257933130305, 0.06979899340500194, -0.17393969340529303, 0.06979899340500194, -0.20854720851512892, 0.06979899340500194, -0.24306993667545979, 0.06979899340500194, -0.2774973619288587, 0.06979899340500194, -0.3118189973480877, 0.06979899340500194, -0.3460243882305167, 0.06979899340500194, -0.38010311528272805, 0.06979899340500194, -0.4140447977943335, 0.06979899340500194, -0.4478390968000395, 0.06979899340500194, -0.4814757182289964, 0.06979899340500194, -0.5149444160404716, 0.06979899340500194, -0.548234995344893, 0.06979899340500194, -0.5813373155093114, 0.06979899340500194, -0.6142412932463355, 0.06979899340500194, -0.6469369056855986, 0.06979899340500194, -0.6794141934268221, 0.06979899340500194, -0.7116632635735455, 0.06979899340500194, -0.7436742927465984, 0.06979899340500194, -0.775437530076397, 0.06979899340500194, -0.8069433001731529, 0.06979899340500194, -0.8381820060740915, 0.06979899340500194, -0.8691441321667798, 0.06979899340500194, -0.8998202470876722, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.10467191248588766, 0.10467191248588766, 0.10467191248588766, 0.06976709961132063, 0.10467191248588766, 0.03487291908088572, 0.10467191248588766, 0.10467191248588766, -0.03484103500236295, 0.10467191248588766, -0.06963957300942868, 0.10467191248588766, -0.10438501404941929, 0.10467191248588766, -0.13906677432440734, 0.10467191248588766, -0.17367428943424323, 0.10467191248588766, -0.2081970175945741, 0.10467191248588766, -0.24262444284797302, 0.10467191248588766, -0.276946078267202, 0.10467191248588766, -0.311151469149631, 0.10467191248588766, -0.34523019620184237, 0.10467191248588766, -0.3791718787134478, 0.10467191248588766, -0.41296617771915384, 0.10467191248588766, -0.4466027991481107, 0.10467191248588766, -0.4800714969595859, 0.10467191248588766, -0.5133620762640072, 0.10467191248588766, -0.5464643964284257, 0.10467191248588766, -0.5793683741654497, 0.10467191248588766, -0.6120639866047128, 0.10467191248588766, -0.6445412743459363, 0.10467191248588766, -0.6767903444926597, 0.10467191248588766, -0.7088013736657126, 0.10467191248588766, -0.7405646109955113, 0.10467191248588766, -0.7720703810922671, 0.10467191248588766, -0.8033090869932058, 0.10467191248588766, -0.834271213085894, 0.10467191248588766, -0.8649473280067864, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.1395129474882506, 0.1395129474882506, 0.1395129474882506, 0.10460813461368357, 0.1395129474882506, 0.06971395408324867, 0.1395129474882506, 0.03484103500236295, 0.1395129474882506, 0.1395129474882506, -0.03479853800706573, 0.1395129474882506, -0.06954397904705634, 0.1395129474882506, -0.10422573932204438, 0.1395129474882506, -0.13883325443188027, 0.1395129474882506, -0.17335598259221113, 0.1395129474882506, -0.20778340784561006, 0.1395129474882506, -0.24210504326483906, 0.1395129474882506, -0.276310434147268, 0.1395129474882506, -0.3103891611994794, 0.1395129474882506, -0.34433084371108486, 0.1395129474882506, -0.3781251427167909, 0.1395129474882506, -0.4117617641457477, 0.1395129474882506, -0.44523046195722293, 0.1395129474882506, -0.4785210412616443, 0.1395129474882506, -0.5116233614260628, 0.1395129474882506, -0.5445273391630868, 0.1395129474882506, -0.5772229516023499, 0.1395129474882506, -0.6097002393435734, 0.1395129474882506, -0.6419493094902968, 0.1395129474882506, -0.6739603386633497, 0.1395129474882506, -0.7057235759931484, 0.1395129474882506, -0.7372293460899042, 0.1395129474882506, -0.7684680519908429, 0.1395129474882506, -0.7994301780835311, 0.1395129474882506, -0.8301062930044235, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.17431148549531633, 0.17431148549531633, 0.17431148549531633, 0.1394066726207493, 0.17431148549531633, 0.1045124920903144, 0.17431148549531633, 0.06963957300942868, 0.17431148549531633, 0.03479853800706573, 0.17431148549531633, 0.17431148549531633, -0.03474544103999061, 0.17431148549531633, -0.06942720131497865, 0.17431148549531633, -0.10403471642481454, 0.17431148549531633, -0.1385574445851454, 0.17431148549531633, -0.17298486983854433, 0.17431148549531633, -0.20730650525777333, 0.17431148549531633, -0.2415118961402023, 0.17431148549531633, -0.2755906231924137, 0.17431148549531633, -0.30953230570401913, 0.17431148549531633, -0.34332660470972515, 0.17431148549531633, -0.376963226138682, 0.17431148549531633, -0.4104319239501572, 0.17431148549531633, -0.44372250325457857, 0.17431148549531633, -0.47682482341899707, 0.17431148549531633, -0.509728801156021, 0.17431148549531633, -0.5424244135952843, 0.17431148549531633, -0.5749017013365076, 0.17431148549531633, -0.6071507714832312, 0.17431148549531633, -0.639161800656284, 0.17431148549531633, -0.6709250379860827, 0.17431148549531633, -0.7024308080828385, 0.17431148549531633, -0.7336695139837772, 0.17431148549531633, -0.7646316400764654, 0.17431148549531633, -0.7953077549973577, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.20905692653530694, 0.20905692653530694, 0.20905692653530694, 0.1741521136607399, 0.20905692653530694, 0.139257933130305, 0.20905692653530694, 0.10438501404941929, 0.20905692653530694, 0.06954397904705634, 0.20905692653530694, 0.03474544103999061, 0.20905692653530694, 0.20905692653530694, -0.03468176027498804, 0.20905692653530694, -0.06928927538482393, 0.20905692653530694, -0.1038120035451548, 0.20905692653530694, -0.13823942879855372, 0.20905692653530694, -0.17256106421778272, 0.20905692653530694, -0.2067664551002117, 0.20905692653530694, -0.24084518215242307, 0.20905692653530694, -0.2747868646640285, 0.20905692653530694, -0.30858116366973454, 0.20905692653530694, -0.3422177850986914, 0.20905692653530694, -0.3756864829101666, 0.20905692653530694, -0.40897706221458796, 0.20905692653530694, -0.44207938237900646, 0.20905692653530694, -0.4749833601160305, 0.20905692653530694, -0.5076789725552936, 0.20905692653530694, -0.5401562602965171, 0.20905692653530694, -0.5724053304432405, 0.20905692653530694, -0.6044163596162934, 0.20905692653530694, -0.636179596946092, 0.20905692653530694, -0.6676853670428479, 0.20905692653530694, -0.6989240729437866, 0.20905692653530694, -0.7298861990364748, 0.20905692653530694, -0.7605623139573672, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.24373868681029498, 0.24373868681029498, 0.24373868681029498, 0.20883387393572794, 0.24373868681029498, 0.17393969340529303, 0.24373868681029498, 0.13906677432440734, 0.24373868681029498, 0.10422573932204438, 0.24373868681029498, 0.06942720131497865, 0.24373868681029498, 0.03468176027498804, 0.24373868681029498, 0.24373868681029498, -0.034607515109835896, 0.24373868681029498, -0.06913024327016676, 0.24373868681029498, -0.10355766852356568, 0.24373868681029498, -0.13787930394279468, 0.24373868681029498, -0.17208469482522365, 0.24373868681029498, -0.20616342187743503, 0.24373868681029498, -0.24010510438904048, 0.24373868681029498, -0.2738994033947465, 0.24373868681029498, -0.30753602482370335, 0.24373868681029498, -0.34100472263517856, 0.24373868681029498, -0.3742953019395999, 0.24373868681029498, -0.4073976221040184, 0.24373868681029498, -0.44030159984104245, 0.24373868681029498, -0.47299721228030556, 0.24373868681029498, -0.505474500021529, 0.24373868681029498, -0.5377235701682525, 0.24373868681029498, -0.5697345993413053, 0.24373868681029498, -0.601497836671104, 0.24373868681029498, -0.6330036067678598, 0.24373868681029498, -0.6642423126687985, 0.24373868681029498, -0.6952044387614867, 0.24373868681029498, -0.7258805536823791, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.2783462019201309, 0.2783462019201309, 0.2783462019201309, 0.24344138904556384, 0.2783462019201309, 0.20854720851512892, 0.2783462019201309, 0.17367428943424323, 0.2783462019201309, 0.13883325443188027, 0.2783462019201309, 0.10403471642481454, 0.2783462019201309, 0.06928927538482393, 0.2783462019201309, 0.034607515109835896, 0.2783462019201309, 0.2783462019201309, -0.03452272816033086, 0.2783462019201309, -0.06895015341372979, 0.2783462019201309, -0.10327178883295879, 0.2783462019201309, -0.13747717971538775, 0.2783462019201309, -0.17155590676759913, 0.2783462019201309, -0.20549758927920458, 0.2783462019201309, -0.2392918882849106, 0.2783462019201309, -0.27292850971386745, 0.2783462019201309, -0.30639720752534266, 0.2783462019201309, -0.339687786829764, 0.2783462019201309, -0.3727901069941825, 0.2783462019201309, -0.40569408473120655, 0.2783462019201309, -0.43838969717046966, 0.2783462019201309, -0.47086698491169315, 0.2783462019201309, -0.5031160550584166, 0.2783462019201309, -0.5351270842314695, 0.2783462019201309, -0.5668903215612682, 0.2783462019201309, -0.598396091658024, 0.2783462019201309, -0.6296347975589627, 0.2783462019201309, -0.6605969236516509, 0.2783462019201309, -0.6912730385725432, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.31286893008046174, 0.31286893008046174, 0.31286893008046174, 0.2779641172058947, 0.31286893008046174, 0.24306993667545979, 0.31286893008046174, 0.2081970175945741, 0.31286893008046174, 0.17335598259221113, 0.31286893008046174, 0.1385574445851454, 0.31286893008046174, 0.1038120035451548, 0.31286893008046174, 0.06913024327016676, 0.31286893008046174, 0.03452272816033086, 0.31286893008046174, 0.31286893008046174, -0.034427425253398924, 0.31286893008046174, -0.06874906067262793, 0.31286893008046174, -0.10295445155505689, 0.31286893008046174, -0.13703317860726827, 0.31286893008046174, -0.17097486111887372, 0.31286893008046174, -0.20476916012457974, 0.31286893008046174, -0.2384057815535366, 0.31286893008046174, -0.2718744793650118, 0.31286893008046174, -0.30516505866943316, 0.31286893008046174, -0.33826737883385166, 0.31286893008046174, -0.3711713565708757, 0.31286893008046174, -0.4038669690101388, 0.31286893008046174, -0.4363442567513623, 0.31286893008046174, -0.4685933268980857, 0.31286893008046174, -0.5006043560711386, 0.31286893008046174, -0.5323675934009373, 0.31286893008046174, -0.5638733634976931, 0.31286893008046174, -0.5951120693986318, 0.31286893008046174, -0.62607419549132, 0.31286893008046174, -0.6567503104122123, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.34729635533386066, 0.34729635533386066, 0.34729635533386066, 0.3123915424592936, 0.34729635533386066, 0.2774973619288587, 0.34729635533386066, 0.24262444284797302, 0.34729635533386066, 0.20778340784561006, 0.34729635533386066, 0.17298486983854433, 0.34729635533386066, 0.13823942879855372, 0.34729635533386066, 0.10355766852356568, 0.34729635533386066, 0.06895015341372979, 0.34729635533386066, 0.034427425253398924, 0.34729635533386066, 0.34729635533386066, -0.034321635419229, 0.34729635533386066, -0.06852702630165797, 0.34729635533386066, -0.10260575335386934, 0.34729635533386066, -0.1365474358654748, 0.34729635533386066, -0.17034173487118082, 0.34729635533386066, -0.20397835630013766, 0.34729635533386066, -0.23744705411161288, 0.34729635533386066, -0.27073763341603424, 0.34729635533386066, -0.30383995358045274, 0.34729635533386066, -0.33674393131747676, 0.34729635533386066, -0.3694395437567399, 0.34729635533386066, -0.40191683149796337, 0.34729635533386066, -0.43416590164468677, 0.34729635533386066, -0.46617693081773964, 0.34729635533386066, -0.49794016814753833, 0.34729635533386066, -0.5294459382442942, 0.34729635533386066, -0.5606846441452329, 0.34729635533386066, -0.5916467702379211, 0.34729635533386066, -0.6223228851588134, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.38161799075308966, 0.38161799075308966, 0.38161799075308966, 0.3467131778785226, 0.38161799075308966, 0.3118189973480877, 0.38161799075308966, 0.276946078267202, 0.38161799075308966, 0.24210504326483906, 0.38161799075308966, 0.20730650525777333, 0.38161799075308966, 0.17256106421778272, 0.38161799075308966, 0.13787930394279468, 0.38161799075308966, 0.10327178883295879, 0.38161799075308966, 0.06874906067262793, 0.38161799075308966, 0.034321635419229, 0.38161799075308966, 0.38161799075308966, -0.034205390882428965, 0.38161799075308966, -0.06828411793464034, 0.38161799075308966, -0.1022258004462458, 0.38161799075308966, -0.13602009945195181, 0.38161799075308966, -0.16965672088090866, 0.38161799075308966, -0.20312541869238387, 0.38161799075308966, -0.23641599799680524, 0.38161799075308966, -0.26951831816122374, 0.38161799075308966, -0.30242229589824776, 0.38161799075308966, -0.3351179083375109, 0.38161799075308966, -0.36759519607873437, 0.38161799075308966, -0.39984426622545777, 0.38161799075308966, -0.43185529539851064, 0.38161799075308966, -0.46361853272830933, 0.38161799075308966, -0.49512430282506514, 0.38161799075308966, -0.5263630087260038, 0.38161799075308966, -0.5573251348186921, 0.38161799075308966, -0.5880012497395845, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.41582338163551863, 0.41582338163551863, 0.41582338163551863, 0.3809185687609516, 0.41582338163551863, 0.3460243882305167, 0.41582338163551863, 0.311151469149631, 0.41582338163551863, 0.276310434147268, 0.41582338163551863, 0.2415118961402023, 0.41582338163551863, 0.2067664551002117, 0.41582338163551863, 0.17208469482522365, 0.41582338163551863, 0.13747717971538775, 0.41582338163551863, 0.10295445155505689, 0.41582338163551863, 0.06852702630165797, 0.41582338163551863, 0.034205390882428965, 0.41582338163551863, 0.41582338163551863, -0.03407872705221138, 0.41582338163551863, -0.06802040956381683, 0.41582338163551863, -0.10181470856952285, 0.41582338163551863, -0.1354513299984797, 0.41582338163551863, -0.1689200278099549, 0.41582338163551863, -0.20221060711437627, 0.41582338163551863, -0.23531292727879477, 0.41582338163551863, -0.2682169050158188, 0.41582338163551863, -0.3009125174550819, 0.41582338163551863, -0.3333898051963054, 0.41582338163551863, -0.3656388753430288, 0.41582338163551863, -0.3976499045160817, 0.41582338163551863, -0.42941314184588036, 0.41582338163551863, -0.4609189119426362, 0.41582338163551863, -0.49215761784357487, 0.41582338163551863, -0.5231197439362631, 0.41582338163551863, -0.5537958588571554, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.44990210868773, 0.44990210868773, 0.44990210868773, 0.41499729581316297, 0.44990210868773, 0.38010311528272805, 0.44990210868773, 0.34523019620184237, 0.44990210868773, 0.3103891611994794, 0.44990210868773, 0.2755906231924137, 0.44990210868773, 0.24084518215242307, 0.44990210868773, 0.20616342187743503, 0.44990210868773, 0.17155590676759913, 0.44990210868773, 0.13703317860726827, 0.44990210868773, 0.10260575335386934, 0.44990210868773, 0.06828411793464034, 0.44990210868773, 0.03407872705221138, 0.44990210868773, 0.44990210868773, -0.03394168251160545, 0.44990210868773, -0.06773598151731147, 0.44990210868773, -0.10137260294626832, 0.44990210868773, -0.13484130075774353, 0.44990210868773, -0.1681318800621649, 0.44990210868773, -0.2012342002265834, 0.44990210868773, -0.23413817796360742, 0.44990210868773, -0.26683379040287053, 0.44990210868773, -0.299311078144094, 0.44990210868773, -0.3315601482908174, 0.44990210868773, -0.3635711774638703, 0.44990210868773, -0.395334414793669, 0.44990210868773, -0.4268401848904248, 0.44990210868773, -0.4580788907913635, 0.44990210868773, -0.4890410168840517, 0.44990210868773, -0.519717131804944, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.48384379119933546, 0.48384379119933546, 0.48384379119933546, 0.4489389783247684, 0.48384379119933546, 0.4140447977943335, 0.48384379119933546, 0.3791718787134478, 0.48384379119933546, 0.34433084371108486, 0.48384379119933546, 0.30953230570401913, 0.48384379119933546, 0.2747868646640285, 0.48384379119933546, 0.24010510438904048, 0.48384379119933546, 0.20549758927920458, 0.48384379119933546, 0.17097486111887372, 0.48384379119933546, 0.1365474358654748, 0.48384379119933546, 0.1022258004462458, 0.48384379119933546, 0.06802040956381683, 0.48384379119933546, 0.03394168251160545, 0.48384379119933546, 0.48384379119933546, -0.03379429900570602, 0.48384379119933546, -0.06743092043466287, 0.48384379119933546, -0.10089961824613808, 0.48384379119933546, -0.13419019755055944, 0.48384379119933546, -0.16729251771497794, 0.48384379119933546, -0.20019649545200197, 0.48384379119933546, -0.23289210789126508, 0.48384379119933546, -0.26536939563248857, 0.48384379119933546, -0.29761846577921197, 0.48384379119933546, -0.32962949495226485, 0.48384379119933546, -0.36139273228206353, 0.48384379119933546, -0.39289850237881935, 0.48384379119933546, -0.42413720827975804, 0.48384379119933546, -0.45509933437244626, 0.48384379119933546, -0.48577544929333866, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.5176380902050415, 0.5176380902050415, 0.5176380902050415, 0.48273327733047444, 0.5176380902050415, 0.4478390968000395, 0.5176380902050415, 0.41296617771915384, 0.5176380902050415, 0.3781251427167909, 0.5176380902050415, 0.34332660470972515, 0.5176380902050415, 0.30858116366973454, 0.5176380902050415, 0.2738994033947465, 0.5176380902050415, 0.2392918882849106, 0.5176380902050415, 0.20476916012457974, 0.5176380902050415, 0.17034173487118082, 0.5176380902050415, 0.13602009945195181, 0.5176380902050415, 0.10181470856952285, 0.5176380902050415, 0.06773598151731147, 0.5176380902050415, 0.03379429900570602, 0.5176380902050415, 0.5176380902050415, -0.03363662142895685, 0.5176380902050415, -0.06710531924043206, 0.5176380902050415, -0.10039589854485342, 0.5176380902050415, -0.13349821870927192, 0.5176380902050415, -0.16640219644629595, 0.5176380902050415, -0.19909780888555906, 0.5176380902050415, -0.23157509662678255, 0.5176380902050415, -0.26382416677350595, 0.5176380902050415, -0.2958351959465588, 0.5176380902050415, -0.3275984332763575, 0.5176380902050415, -0.35910420337311333, 0.5176380902050415, -0.390342909274052, 0.5176380902050415, -0.42130503536674024, 0.5176380902050415, -0.45198115028763264, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.5512747116339983, 0.5512747116339983, 0.5512747116339983, 0.5163698987594313, 0.5512747116339983, 0.4814757182289964, 0.5512747116339983, 0.4466027991481107, 0.5512747116339983, 0.4117617641457477, 0.5512747116339983, 0.376963226138682, 0.5512747116339983, 0.3422177850986914, 0.5512747116339983, 0.30753602482370335, 0.5512747116339983, 0.27292850971386745, 0.5512747116339983, 0.2384057815535366, 0.5512747116339983, 0.20397835630013766, 0.5512747116339983, 0.16965672088090866, 0.5512747116339983, 0.1354513299984797, 0.5512747116339983, 0.10137260294626832, 0.5512747116339983, 0.06743092043466287, 0.5512747116339983, 0.03363662142895685, 0.5512747116339983, 0.5512747116339983, -0.03346869781147521, 0.5512747116339983, -0.06675927711589658, 0.5512747116339983, -0.09986159728031507, 0.5512747116339983, -0.1327655750173391, 0.5512747116339983, -0.1654611874566022, 0.5512747116339983, -0.1979384751978257, 0.5512747116339983, -0.2301875453445491, 0.5512747116339983, -0.262198574517602, 0.5512747116339983, -0.29396181184740067, 0.5512747116339983, -0.3254675819441565, 0.5512747116339983, -0.35670628784509517, 0.5512747116339983, -0.3876684139377834, 0.5512747116339983, -0.4183445288586758, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.5847434094454735, 0.5847434094454735, 0.5847434094454735, 0.5498385965709065, 0.5847434094454735, 0.5149444160404716, 0.5847434094454735, 0.4800714969595859, 0.5847434094454735, 0.44523046195722293, 0.5847434094454735, 0.4104319239501572, 0.5847434094454735, 0.3756864829101666, 0.5847434094454735, 0.34100472263517856, 0.5847434094454735, 0.30639720752534266, 0.5847434094454735, 0.2718744793650118, 0.5847434094454735, 0.23744705411161288, 0.5847434094454735, 0.20312541869238387, 0.5847434094454735, 0.1689200278099549, 0.5847434094454735, 0.13484130075774353, 0.5847434094454735, 0.10089961824613808, 0.5847434094454735, 0.06710531924043206, 0.5847434094454735, 0.03346869781147521, 0.5847434094454735, 0.5847434094454735, -0.033290579304421364, 0.5847434094454735, -0.06639289946883986, 0.5847434094454735, -0.09929687720586389, 0.5847434094454735, -0.131992489645127, 0.5847434094454735, -0.1644697773863505, 0.5847434094454735, -0.1967188475330739, 0.5847434094454735, -0.22872987670612677, 0.5847434094454735, -0.26049311403592545, 0.5847434094454735, -0.29199888413268127, 0.5847434094454735, -0.32323759003361996, 0.5847434094454735, -0.3541997161263082, 0.5847434094454735, -0.3848758310472006, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.6180339887498949, 0.6180339887498949, 0.6180339887498949, 0.5831291758753279, 0.6180339887498949, 0.548234995344893, 0.6180339887498949, 0.5133620762640072, 0.6180339887498949, 0.4785210412616443, 0.6180339887498949, 0.44372250325457857, 0.6180339887498949, 0.40897706221458796, 0.6180339887498949, 0.3742953019395999, 0.6180339887498949, 0.339687786829764, 0.6180339887498949, 0.30516505866943316, 0.6180339887498949, 0.27073763341603424, 0.6180339887498949, 0.23641599799680524, 0.6180339887498949, 0.20221060711437627, 0.6180339887498949, 0.1681318800621649, 0.6180339887498949, 0.13419019755055944, 0.6180339887498949, 0.10039589854485342, 0.6180339887498949, 0.06675927711589658, 0.6180339887498949, 0.033290579304421364, 0.6180339887498949, 0.6180339887498949, -0.0331023201644185, 0.6180339887498949, -0.06600629790144252, 0.6180339887498949, -0.09870191034070563, 0.6180339887498949, -0.13117919808192913, 0.6180339887498949, -0.16342826822865253, 0.6180339887498949, -0.1954392974017054, 0.6180339887498949, -0.2272025347315041, 0.6180339887498949, -0.2587083048282599, 0.6180339887498949, -0.2899470107291986, 0.6180339887498949, -0.3209091368218868, 0.6180339887498949, -0.3515852517427792, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.6511363089143134, 0.6511363089143134, 0.6511363089143134, 0.6162314960397464, 0.6511363089143134, 0.5813373155093114, 0.6511363089143134, 0.5464643964284257, 0.6511363089143134, 0.5116233614260628, 0.6511363089143134, 0.47682482341899707, 0.6511363089143134, 0.44207938237900646, 0.6511363089143134, 0.4073976221040184, 0.6511363089143134, 0.3727901069941825, 0.6511363089143134, 0.33826737883385166, 0.6511363089143134, 0.30383995358045274, 0.6511363089143134, 0.26951831816122374, 0.6511363089143134, 0.23531292727879477, 0.6511363089143134, 0.2012342002265834, 0.6511363089143134, 0.16729251771497794, 0.6511363089143134, 0.13349821870927192, 0.6511363089143134, 0.09986159728031507, 0.6511363089143134, 0.06639289946883986, 0.6511363089143134, 0.0331023201644185, 0.6511363089143134, 0.6511363089143134, -0.032903977737024026, 0.6511363089143134, -0.06559959017628714, 0.6511363089143134, -0.09807687791751063, 0.6511363089143134, -0.13032594806423403, 0.6511363089143134, -0.1623369772372869, 0.6511363089143134, -0.1941002145670856, 0.6511363089143134, -0.2256059846638414, 0.6511363089143134, -0.2568446905647801, 0.6511363089143134, -0.2878068166574683, 0.6511363089143134, -0.3184829315783607, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.6840402866513374, 0.6840402866513374, 0.6840402866513374, 0.6491354737767704, 0.6840402866513374, 0.6142412932463355, 0.6840402866513374, 0.5793683741654497, 0.6840402866513374, 0.5445273391630868, 0.6840402866513374, 0.509728801156021, 0.6840402866513374, 0.4749833601160305, 0.6840402866513374, 0.44030159984104245, 0.6840402866513374, 0.40569408473120655, 0.6840402866513374, 0.3711713565708757, 0.6840402866513374, 0.33674393131747676, 0.6840402866513374, 0.30242229589824776, 0.6840402866513374, 0.2682169050158188, 0.6840402866513374, 0.23413817796360742, 0.6840402866513374, 0.20019649545200197, 0.6840402866513374, 0.16640219644629595, 0.6840402866513374, 0.1327655750173391, 0.6840402866513374, 0.09929687720586389, 0.6840402866513374, 0.06600629790144252, 0.6840402866513374, 0.032903977737024026, 0.6840402866513374, 0.6840402866513374, -0.03269561243926311, 0.6840402866513374, -0.0651729001804866, 0.6840402866513374, -0.09742197032721, 0.6840402866513374, -0.12943299950026288, 0.6840402866513374, -0.16119623683006157, 0.6840402866513374, -0.19270200692681738, 0.6840402866513374, -0.22394071282775607, 0.6840402866513374, -0.2549028389204443, 0.6840402866513374, -0.2855789538413367, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.7167358990906005, 0.7167358990906005, 0.7167358990906005, 0.6818310862160335, 0.7167358990906005, 0.6469369056855986, 0.7167358990906005, 0.6120639866047128, 0.7167358990906005, 0.5772229516023499, 0.7167358990906005, 0.5424244135952843, 0.7167358990906005, 0.5076789725552936, 0.7167358990906005, 0.47299721228030556, 0.7167358990906005, 0.43838969717046966, 0.7167358990906005, 0.4038669690101388, 0.7167358990906005, 0.3694395437567399, 0.7167358990906005, 0.3351179083375109, 0.7167358990906005, 0.3009125174550819, 0.7167358990906005, 0.26683379040287053, 0.7167358990906005, 0.23289210789126508, 0.7167358990906005, 0.19909780888555906, 0.7167358990906005, 0.1654611874566022, 0.7167358990906005, 0.131992489645127, 0.7167358990906005, 0.09870191034070563, 0.7167358990906005, 0.06559959017628714, 0.7167358990906005, 0.03269561243926311, 0.7167358990906005, 0.7167358990906005, -0.03247728774122349, 0.7167358990906005, -0.0647263578879469, 0.7167358990906005, -0.09673738706099977, 0.7167358990906005, -0.12850062439079846, 0.7167358990906005, -0.16000639448755427, 0.7167358990906005, -0.19124510038849296, 0.7167358990906005, -0.22220722648118119, 0.7167358990906005, -0.2528833414020736, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.749213186831824, 0.749213186831824, 0.749213186831824, 0.714308373957257, 0.749213186831824, 0.6794141934268221, 0.749213186831824, 0.6445412743459363, 0.749213186831824, 0.6097002393435734, 0.749213186831824, 0.5749017013365076, 0.749213186831824, 0.5401562602965171, 0.749213186831824, 0.505474500021529, 0.749213186831824, 0.47086698491169315, 0.749213186831824, 0.4363442567513623, 0.749213186831824, 0.40191683149796337, 0.749213186831824, 0.36759519607873437, 0.749213186831824, 0.3333898051963054, 0.749213186831824, 0.299311078144094, 0.749213186831824, 0.26536939563248857, 0.749213186831824, 0.23157509662678255, 0.749213186831824, 0.1979384751978257, 0.749213186831824, 0.1644697773863505, 0.749213186831824, 0.13117919808192913, 0.749213186831824, 0.09807687791751063, 0.749213186831824, 0.0651729001804866, 0.749213186831824, 0.03247728774122349, 0.749213186831824, 0.749213186831824, -0.0322490701467234, 0.749213186831824, -0.06426009931977628, 0.749213186831824, -0.09602333664957496, 0.749213186831824, -0.12752910674633078, 0.749213186831824, -0.15876781264726947, 0.749213186831824, -0.1897299387399577, 0.749213186831824, -0.2204060536608501, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.7814622569785474, 0.7814622569785474, 0.7814622569785474, 0.7465574441039804, 0.7814622569785474, 0.7116632635735455, 0.7814622569785474, 0.6767903444926597, 0.7814622569785474, 0.6419493094902968, 0.7814622569785474, 0.6071507714832312, 0.7814622569785474, 0.5724053304432405, 0.7814622569785474, 0.5377235701682525, 0.7814622569785474, 0.5031160550584166, 0.7814622569785474, 0.4685933268980857, 0.7814622569785474, 0.43416590164468677, 0.7814622569785474, 0.39984426622545777, 0.7814622569785474, 0.3656388753430288, 0.7814622569785474, 0.3315601482908174, 0.7814622569785474, 0.29761846577921197, 0.7814622569785474, 0.26382416677350595, 0.7814622569785474, 0.2301875453445491, 0.7814622569785474, 0.1967188475330739, 0.7814622569785474, 0.16342826822865253, 0.7814622569785474, 0.13032594806423403, 0.7814622569785474, 0.09742197032721, 0.7814622569785474, 0.0647263578879469, 0.7814622569785474, 0.0322490701467234, 0.7814622569785474, 0.7814622569785474, -0.032011029173052874, 0.7814622569785474, -0.06377426650285156, 0.7814622569785474, -0.09528003659960738, 0.7814622569785474, -0.12651874250054607, 0.7814622569785474, -0.1574808685932343, 0.7814622569785474, -0.18815698351412669, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.8134732861516003, 0.8134732861516003, 0.8134732861516003, 0.7785684732770333, 0.8134732861516003, 0.7436742927465984, 0.8134732861516003, 0.7088013736657126, 0.8134732861516003, 0.6739603386633497, 0.8134732861516003, 0.639161800656284, 0.8134732861516003, 0.6044163596162934, 0.8134732861516003, 0.5697345993413053, 0.8134732861516003, 0.5351270842314695, 0.8134732861516003, 0.5006043560711386, 0.8134732861516003, 0.46617693081773964, 0.8134732861516003, 0.43185529539851064, 0.8134732861516003, 0.3976499045160817, 0.8134732861516003, 0.3635711774638703, 0.8134732861516003, 0.32962949495226485, 0.8134732861516003, 0.2958351959465588, 0.8134732861516003, 0.262198574517602, 0.8134732861516003, 0.22872987670612677, 0.8134732861516003, 0.1954392974017054, 0.8134732861516003, 0.1623369772372869, 0.8134732861516003, 0.12943299950026288, 0.8134732861516003, 0.09673738706099977, 0.8134732861516003, 0.06426009931977628, 0.8134732861516003, 0.032011029173052874, 0.8134732861516003, 0.8134732861516003, -0.03176323732979869, 0.8134732861516003, -0.0632690074265545, 0.8134732861516003, -0.09450771332749319, 0.8134732861516003, -0.12546983942018142, 0.8134732861516003, -0.1561459543410738, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.845236523481399, 0.845236523481399, 0.845236523481399, 0.810331710606832, 0.845236523481399, 0.775437530076397, 0.845236523481399, 0.7405646109955113, 0.845236523481399, 0.7057235759931484, 0.845236523481399, 0.6709250379860827, 0.845236523481399, 0.636179596946092, 0.845236523481399, 0.601497836671104, 0.845236523481399, 0.5668903215612682, 0.845236523481399, 0.5323675934009373, 0.845236523481399, 0.49794016814753833, 0.845236523481399, 0.46361853272830933, 0.845236523481399, 0.42941314184588036, 0.845236523481399, 0.395334414793669, 0.845236523481399, 0.36139273228206353, 0.845236523481399, 0.3275984332763575, 0.845236523481399, 0.29396181184740067, 0.845236523481399, 0.26049311403592545, 0.845236523481399, 0.2272025347315041, 0.845236523481399, 0.1941002145670856, 0.845236523481399, 0.16119623683006157, 0.845236523481399, 0.12850062439079846, 0.845236523481399, 0.09602333664957496, 0.845236523481399, 0.06377426650285156, 0.845236523481399, 0.03176323732979869, 0.845236523481399, 0.845236523481399, -0.031505770096755814, 0.845236523481399, -0.0627444759976945, 0.845236523481399, -0.09370660209038273, 0.845236523481399, -0.12438271701127512, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.8767422935781548, 0.8767422935781548, 0.8767422935781548, 0.8418374807035878, 0.8767422935781548, 0.8069433001731529, 0.8767422935781548, 0.7720703810922671, 0.8767422935781548, 0.7372293460899042, 0.8767422935781548, 0.7024308080828385, 0.8767422935781548, 0.6676853670428479, 0.8767422935781548, 0.6330036067678598, 0.8767422935781548, 0.598396091658024, 0.8767422935781548, 0.5638733634976931, 0.8767422935781548, 0.5294459382442942, 0.8767422935781548, 0.49512430282506514, 0.8767422935781548, 0.4609189119426362, 0.8767422935781548, 0.4268401848904248, 0.8767422935781548, 0.39289850237881935, 0.8767422935781548, 0.35910420337311333, 0.8767422935781548, 0.3254675819441565, 0.8767422935781548, 0.29199888413268127, 0.8767422935781548, 0.2587083048282599, 0.8767422935781548, 0.2256059846638414, 0.8767422935781548, 0.19270200692681738, 0.8767422935781548, 0.16000639448755427, 0.8767422935781548, 0.12752910674633078, 0.8767422935781548, 0.09528003659960738, 0.8767422935781548, 0.0632690074265545, 0.8767422935781548, 0.031505770096755814, 0.8767422935781548, 0.8767422935781548, -0.03123870590093869, 0.8767422935781548, -0.062200831993626915, 0.8767422935781548, -0.09287694691451931, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.9079809994790935, 0.9079809994790935, 0.9079809994790935, 0.8730761866045265, 0.9079809994790935, 0.8381820060740915, 0.9079809994790935, 0.8033090869932058, 0.9079809994790935, 0.7684680519908429, 0.9079809994790935, 0.7336695139837772, 0.9079809994790935, 0.6989240729437866, 0.9079809994790935, 0.6642423126687985, 0.9079809994790935, 0.6296347975589627, 0.9079809994790935, 0.5951120693986318, 0.9079809994790935, 0.5606846441452329, 0.9079809994790935, 0.5263630087260038, 0.9079809994790935, 0.49215761784357487, 0.9079809994790935, 0.4580788907913635, 0.9079809994790935, 0.42413720827975804, 0.9079809994790935, 0.390342909274052, 0.9079809994790935, 0.35670628784509517, 0.9079809994790935, 0.32323759003361996, 0.9079809994790935, 0.2899470107291986, 0.9079809994790935, 0.2568446905647801, 0.9079809994790935, 0.22394071282775607, 0.9079809994790935, 0.19124510038849296, 0.9079809994790935, 0.15876781264726947, 0.9079809994790935, 0.12651874250054607, 0.9079809994790935, 0.09450771332749319, 0.9079809994790935, 0.0627444759976945, 0.9079809994790935, 0.03123870590093869, 0.9079809994790935, 0.9079809994790935, -0.030962126092688225, 0.9079809994790935, -0.06163824101358062, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.9389431255717817, 0.9389431255717817, 0.9389431255717817, 0.9040383126972147, 0.9389431255717817, 0.8691441321667798, 0.9389431255717817, 0.834271213085894, 0.9389431255717817, 0.7994301780835311, 0.9389431255717817, 0.7646316400764654, 0.9389431255717817, 0.7298861990364748, 0.9389431255717817, 0.6952044387614867, 0.9389431255717817, 0.6605969236516509, 0.9389431255717817, 0.62607419549132, 0.9389431255717817, 0.5916467702379211, 0.9389431255717817, 0.5573251348186921, 0.9389431255717817, 0.5231197439362631, 0.9389431255717817, 0.4890410168840517, 0.9389431255717817, 0.45509933437244626, 0.9389431255717817, 0.42130503536674024, 0.9389431255717817, 0.3876684139377834, 0.9389431255717817, 0.3541997161263082, 0.9389431255717817, 0.3209091368218868, 0.9389431255717817, 0.2878068166574683, 0.9389431255717817, 0.2549028389204443, 0.9389431255717817, 0.22220722648118119, 0.9389431255717817, 0.1897299387399577, 0.9389431255717817, 0.1574808685932343, 0.9389431255717817, 0.12546983942018142, 0.9389431255717817, 0.09370660209038273, 0.9389431255717817, 0.062200831993626915, 0.9389431255717817, 0.030962126092688225, 0.9389431255717817, 0.9389431255717817, -0.030676114920892394, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.9696192404926741, 0.9696192404926741, 0.9696192404926741, 0.9347144276181071, 0.9696192404926741, 0.8998202470876722, 0.9696192404926741, 0.8649473280067864, 0.9696192404926741, 0.8301062930044235, 0.9696192404926741, 0.7953077549973577, 0.9696192404926741, 0.7605623139573672, 0.9696192404926741, 0.7258805536823791, 0.9696192404926741, 0.6912730385725432, 0.9696192404926741, 0.6567503104122123, 0.9696192404926741, 0.6223228851588134, 0.9696192404926741, 0.5880012497395845, 0.9696192404926741, 0.5537958588571554, 0.9696192404926741, 0.519717131804944, 0.9696192404926741, 0.48577544929333866, 0.9696192404926741, 0.45198115028763264, 0.9696192404926741, 0.4183445288586758, 0.9696192404926741, 0.3848758310472006, 0.9696192404926741, 0.3515852517427792, 0.9696192404926741, 0.3184829315783607, 0.9696192404926741, 0.2855789538413367, 0.9696192404926741, 0.2528833414020736, 0.9696192404926741, 0.2204060536608501, 0.9696192404926741, 0.18815698351412669, 0.9696192404926741, 0.1561459543410738, 0.9696192404926741, 0.12438271701127512, 0.9696192404926741, 0.09287694691451931, 0.9696192404926741, 0.06163824101358062, 0.9696192404926741, 0.030676114920892394, 0.9696192404926741] [-2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 2.0, 2.0, 0.00030460968721746084, 2.0, 0.0012183459618084758, 2.0, 0.0027409304908523335, 2.0, 0.004871899480351383, 2.0, 0.00761060381650891, 2.0, 0.010956209263453198, 2.0, 0.014907696717355812, 2.0, 0.019463862516859276, 2.0, 0.024623318809724237, 2.0, 0.03038449397558396, 2.0, 0.03674563310467205, 2.0, 0.04370479853238862, 2.0, 0.05125987042952951, 2.0, 0.059408547448007054, 2.0, 0.06814834742186338, 2.0, 0.07747660812336221, 2.0, 0.08739048807392913, 2.0, 0.09788696740969294, 2.0, 0.10896284880136609, 2.0, 0.12061475842818292, 2.0, 0.13283914700559651, 2.0, 0.14563229086642515, 2.0, 0.15899029309511925, 2.0, 0.17290908471479827, 2.0, 0.18738442592670013, 2.0, 0.20241190740166592, 2.0, 0.2179869516232642, 2.0, 0.23410481428214602, 2.0, 0.2507605857212083, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9996953903127825, -0.00030460968721746084, 1.9996953903127825, 1.9996953903127825, 0.0009137362745910149, 1.9996953903127825, 0.0024363208036348727, 1.9996953903127825, 0.004567289793133922, 1.9996953903127825, 0.007305994129291449, 1.9996953903127825, 0.010651599576235737, 1.9996953903127825, 0.01460308703013835, 1.9996953903127825, 0.019159252829641815, 1.9996953903127825, 0.024318709122506776, 1.9996953903127825, 0.0300798842883665, 1.9996953903127825, 0.03644102341745459, 1.9996953903127825, 0.04340018884517116, 1.9996953903127825, 0.05095526074231205, 1.9996953903127825, 0.05910393776078959, 1.9996953903127825, 0.06784373773464591, 1.9996953903127825, 0.07717199843614475, 1.9996953903127825, 0.08708587838671167, 1.9996953903127825, 0.09758235772247548, 1.9996953903127825, 0.10865823911414862, 1.9996953903127825, 0.12031014874096546, 1.9996953903127825, 0.13253453731837905, 1.9996953903127825, 0.1453276811792077, 1.9996953903127825, 0.1586856834079018, 1.9996953903127825, 0.1726044750275808, 1.9996953903127825, 0.18707981623948267, 1.9996953903127825, 0.20210729771444846, 1.9996953903127825, 0.21768234193604674, 1.9996953903127825, 0.23380020459492856, 1.9996953903127825, 0.25045597603399083, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9987816540381915, -0.0012183459618084758, 1.9987816540381915, -0.0009137362745910149, 1.9987816540381915, 1.9987816540381915, 0.0015225845290438578, 1.9987816540381915, 0.003653553518542907, 1.9987816540381915, 0.006392257854700434, 1.9987816540381915, 0.009737863301644722, 1.9987816540381915, 0.013689350755547336, 1.9987816540381915, 0.0182455165550508, 1.9987816540381915, 0.02340497284791576, 1.9987816540381915, 0.029166148013775484, 1.9987816540381915, 0.03552728714286357, 1.9987816540381915, 0.04248645257058015, 1.9987816540381915, 0.05004152446772103, 1.9987816540381915, 0.05819020148619858, 1.9987816540381915, 0.0669300014600549, 1.9987816540381915, 0.07625826216155374, 1.9987816540381915, 0.08617214211212065, 1.9987816540381915, 0.09666862144788446, 1.9987816540381915, 0.10774450283955761, 1.9987816540381915, 0.11939641246637445, 1.9987816540381915, 0.13162080104378804, 1.9987816540381915, 0.14441394490461668, 1.9987816540381915, 0.15777194713331077, 1.9987816540381915, 0.1716907387529898, 1.9987816540381915, 0.18616607996489165, 1.9987816540381915, 0.20119356143985745, 1.9987816540381915, 0.21676860566145573, 1.9987816540381915, 0.23288646832033755, 1.9987816540381915, 0.24954223975939982, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9972590695091477, -0.0027409304908523335, 1.9972590695091477, -0.0024363208036348727, 1.9972590695091477, -0.0015225845290438578, 1.9972590695091477, 1.9972590695091477, 0.002130968989499049, 1.9972590695091477, 0.004869673325656576, 1.9972590695091477, 0.008215278772600865, 1.9972590695091477, 0.012166766226503478, 1.9972590695091477, 0.016722932026006943, 1.9972590695091477, 0.021882388318871904, 1.9972590695091477, 0.027643563484731626, 1.9972590695091477, 0.034004702613819715, 1.9972590695091477, 0.04096386804153629, 1.9972590695091477, 0.048518939938677175, 1.9972590695091477, 0.05666761695715472, 1.9972590695091477, 0.06540741693101104, 1.9972590695091477, 0.07473567763250988, 1.9972590695091477, 0.0846495575830768, 1.9972590695091477, 0.0951460369188406, 1.9972590695091477, 0.10622191831051375, 1.9972590695091477, 0.11787382793733059, 1.9972590695091477, 0.13009821651474418, 1.9972590695091477, 0.14289136037557282, 1.9972590695091477, 0.15624936260426692, 1.9972590695091477, 0.17016815422394593, 1.9972590695091477, 0.1846434954358478, 1.9972590695091477, 0.1996709769108136, 1.9972590695091477, 0.21524602113241187, 1.9972590695091477, 0.2313638837912937, 1.9972590695091477, 0.24801965523035596, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9951281005196486, -0.004871899480351383, 1.9951281005196486, -0.004567289793133922, 1.9951281005196486, -0.003653553518542907, 1.9951281005196486, -0.002130968989499049, 1.9951281005196486, 1.9951281005196486, 0.002738704336157527, 1.9951281005196486, 0.006084309783101816, 1.9951281005196486, 0.010035797237004429, 1.9951281005196486, 0.014591963036507893, 1.9951281005196486, 0.019751419329372855, 1.9951281005196486, 0.025512594495232577, 1.9951281005196486, 0.031873733624320666, 1.9951281005196486, 0.03883289905203724, 1.9951281005196486, 0.046387970949178126, 1.9951281005196486, 0.05453664796765567, 1.9951281005196486, 0.06327644794151199, 1.9951281005196486, 0.07260470864301083, 1.9951281005196486, 0.08251858859357775, 1.9951281005196486, 0.09301506792934155, 1.9951281005196486, 0.1040909493210147, 1.9951281005196486, 0.11574285894783154, 1.9951281005196486, 0.12796724752524513, 1.9951281005196486, 0.14076039138607377, 1.9951281005196486, 0.15411839361476787, 1.9951281005196486, 0.16803718523444688, 1.9951281005196486, 0.18251252644634874, 1.9951281005196486, 0.19754000792131454, 1.9951281005196486, 0.21311505214291282, 1.9951281005196486, 0.22923291480179464, 1.9951281005196486, 0.2458886862408569, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.992389396183491, -0.00761060381650891, 1.992389396183491, -0.007305994129291449, 1.992389396183491, -0.006392257854700434, 1.992389396183491, -0.004869673325656576, 1.992389396183491, -0.002738704336157527, 1.992389396183491, 1.992389396183491, 0.0033456054469442886, 1.992389396183491, 0.007297092900846902, 1.992389396183491, 0.011853258700350366, 1.992389396183491, 0.017012714993215328, 1.992389396183491, 0.02277389015907505, 1.992389396183491, 0.02913502928816314, 1.992389396183491, 0.03609419471587971, 1.992389396183491, 0.0436492666130206, 1.992389396183491, 0.051797943631498145, 1.992389396183491, 0.060537743605354466, 1.992389396183491, 0.0698660043068533, 1.992389396183491, 0.07977988425742022, 1.992389396183491, 0.09027636359318403, 1.992389396183491, 0.10135224498485718, 1.992389396183491, 0.11300415461167401, 1.992389396183491, 0.1252285431890876, 1.992389396183491, 0.13802168704991624, 1.992389396183491, 0.15137968927861034, 1.992389396183491, 0.16529848089828936, 1.992389396183491, 0.17977382211019122, 1.992389396183491, 0.19480130358515702, 1.992389396183491, 0.2103763478067553, 1.992389396183491, 0.2264942104656371, 1.992389396183491, 0.24314998190469939, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9890437907365468, -0.010956209263453198, 1.9890437907365468, -0.010651599576235737, 1.9890437907365468, -0.009737863301644722, 1.9890437907365468, -0.008215278772600865, 1.9890437907365468, -0.006084309783101816, 1.9890437907365468, -0.0033456054469442886, 1.9890437907365468, 1.9890437907365468, 0.0039514874539026135, 1.9890437907365468, 0.008507653253406078, 1.9890437907365468, 0.013667109546271039, 1.9890437907365468, 0.01942828471213076, 1.9890437907365468, 0.02578942384121885, 1.9890437907365468, 0.032748589268935424, 1.9890437907365468, 0.04030366116607631, 1.9890437907365468, 0.048452338184553856, 1.9890437907365468, 0.05719213815841018, 1.9890437907365468, 0.06652039885990901, 1.9890437907365468, 0.07643427881047593, 1.9890437907365468, 0.08693075814623974, 1.9890437907365468, 0.09800663953791289, 1.9890437907365468, 0.10965854916472972, 1.9890437907365468, 0.12188293774214332, 1.9890437907365468, 0.13467608160297195, 1.9890437907365468, 0.14803408383166605, 1.9890437907365468, 0.16195287545134507, 1.9890437907365468, 0.17642821666324693, 1.9890437907365468, 0.19145569813821273, 1.9890437907365468, 0.207030742359811, 1.9890437907365468, 0.22314860501869282, 1.9890437907365468, 0.2398043764577551, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9850923032826442, -0.014907696717355812, 1.9850923032826442, -0.01460308703013835, 1.9850923032826442, -0.013689350755547336, 1.9850923032826442, -0.012166766226503478, 1.9850923032826442, -0.010035797237004429, 1.9850923032826442, -0.007297092900846902, 1.9850923032826442, -0.0039514874539026135, 1.9850923032826442, 1.9850923032826442, 0.004556165799503464, 1.9850923032826442, 0.009715622092368426, 1.9850923032826442, 0.015476797258228148, 1.9850923032826442, 0.021837936387316237, 1.9850923032826442, 0.02879710181503281, 1.9850923032826442, 0.036352173712173697, 1.9850923032826442, 0.04450085073065124, 1.9850923032826442, 0.053240650704507564, 1.9850923032826442, 0.0625689114060064, 1.9850923032826442, 0.07248279135657332, 1.9850923032826442, 0.08297927069233713, 1.9850923032826442, 0.09405515208401027, 1.9850923032826442, 0.10570706171082711, 1.9850923032826442, 0.1179314502882407, 1.9850923032826442, 0.13072459414906934, 1.9850923032826442, 0.14408259637776344, 1.9850923032826442, 0.15800138799744246, 1.9850923032826442, 0.17247672920934431, 1.9850923032826442, 0.1875042106843101, 1.9850923032826442, 0.2030792549059084, 1.9850923032826442, 0.2191971175647902, 1.9850923032826442, 0.23585288900385248, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9805361374831407, -0.019463862516859276, 1.9805361374831407, -0.019159252829641815, 1.9805361374831407, -0.0182455165550508, 1.9805361374831407, -0.016722932026006943, 1.9805361374831407, -0.014591963036507893, 1.9805361374831407, -0.011853258700350366, 1.9805361374831407, -0.008507653253406078, 1.9805361374831407, -0.004556165799503464, 1.9805361374831407, 1.9805361374831407, 0.005159456292864961, 1.9805361374831407, 0.010920631458724683, 1.9805361374831407, 0.017281770587812773, 1.9805361374831407, 0.024240936015529346, 1.9805361374831407, 0.03179600791267023, 1.9805361374831407, 0.03994468493114778, 1.9805361374831407, 0.0486844849050041, 1.9805361374831407, 0.058012745606502936, 1.9805361374831407, 0.06792662555706985, 1.9805361374831407, 0.07842310489283366, 1.9805361374831407, 0.08949898628450681, 1.9805361374831407, 0.10115089591132365, 1.9805361374831407, 0.11337528448873724, 1.9805361374831407, 0.12616842834956588, 1.9805361374831407, 0.13952643057825997, 1.9805361374831407, 0.153445222197939, 1.9805361374831407, 0.16792056340984085, 1.9805361374831407, 0.18294804488480665, 1.9805361374831407, 0.19852308910640493, 1.9805361374831407, 0.21464095176528675, 1.9805361374831407, 0.23129672320434902, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9753766811902758, -0.024623318809724237, 1.9753766811902758, -0.024318709122506776, 1.9753766811902758, -0.02340497284791576, 1.9753766811902758, -0.021882388318871904, 1.9753766811902758, -0.019751419329372855, 1.9753766811902758, -0.017012714993215328, 1.9753766811902758, -0.013667109546271039, 1.9753766811902758, -0.009715622092368426, 1.9753766811902758, -0.005159456292864961, 1.9753766811902758, 1.9753766811902758, 0.005761175165859722, 1.9753766811902758, 0.012122314294947811, 1.9753766811902758, 0.019081479722664385, 1.9753766811902758, 0.02663655161980527, 1.9753766811902758, 0.03478522863828282, 1.9753766811902758, 0.04352502861213914, 1.9753766811902758, 0.052853289313637974, 1.9753766811902758, 0.06276716926420489, 1.9753766811902758, 0.0732636485999687, 1.9753766811902758, 0.08433952999164185, 1.9753766811902758, 0.09599143961845868, 1.9753766811902758, 0.10821582819587228, 1.9753766811902758, 0.12100897205670091, 1.9753766811902758, 0.134366974285395, 1.9753766811902758, 0.14828576590507403, 1.9753766811902758, 0.1627611071169759, 1.9753766811902758, 0.1777885885919417, 1.9753766811902758, 0.19336363281353997, 1.9753766811902758, 0.20948149547242179, 1.9753766811902758, 0.22613726691148406, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.969615506024416, -0.03038449397558396, 1.969615506024416, -0.0300798842883665, 1.969615506024416, -0.029166148013775484, 1.969615506024416, -0.027643563484731626, 1.969615506024416, -0.025512594495232577, 1.969615506024416, -0.02277389015907505, 1.969615506024416, -0.01942828471213076, 1.969615506024416, -0.015476797258228148, 1.969615506024416, -0.010920631458724683, 1.969615506024416, -0.005761175165859722, 1.969615506024416, 1.969615506024416, 0.006361139129088089, 1.969615506024416, 0.013320304556804663, 1.969615506024416, 0.02087537645394555, 1.969615506024416, 0.029024053472423095, 1.969615506024416, 0.037763853446279416, 1.969615506024416, 0.04709211414777825, 1.969615506024416, 0.05700599409834517, 1.969615506024416, 0.06750247343410898, 1.969615506024416, 0.07857835482578213, 1.969615506024416, 0.09023026445259896, 1.969615506024416, 0.10245465303001255, 1.969615506024416, 0.11524779689084119, 1.969615506024416, 0.1286057991195353, 1.969615506024416, 0.1425245907392143, 1.969615506024416, 0.15699993195111617, 1.969615506024416, 0.17202741342608197, 1.969615506024416, 0.18760245764768024, 1.969615506024416, 0.20372032030656206, 1.969615506024416, 0.22037609174562434, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.963254366895328, -0.03674563310467205, 1.963254366895328, -0.03644102341745459, 1.963254366895328, -0.03552728714286357, 1.963254366895328, -0.034004702613819715, 1.963254366895328, -0.031873733624320666, 1.963254366895328, -0.02913502928816314, 1.963254366895328, -0.02578942384121885, 1.963254366895328, -0.021837936387316237, 1.963254366895328, -0.017281770587812773, 1.963254366895328, -0.012122314294947811, 1.963254366895328, -0.006361139129088089, 1.963254366895328, 1.963254366895328, 0.006959165427716574, 1.963254366895328, 0.01451423732485746, 1.963254366895328, 0.022662914343335006, 1.963254366895328, 0.03140271431719133, 1.963254366895328, 0.04073097501869016, 1.963254366895328, 0.05064485496925708, 1.963254366895328, 0.06114133430502089, 1.963254366895328, 0.07221721569669404, 1.963254366895328, 0.08386912532351087, 1.963254366895328, 0.09609351390092447, 1.963254366895328, 0.1088866577617531, 1.963254366895328, 0.1222446599904472, 1.963254366895328, 0.13616345161012622, 1.963254366895328, 0.15063879282202808, 1.963254366895328, 0.16566627429699388, 1.963254366895328, 0.18124131851859215, 1.963254366895328, 0.19735918117747397, 1.963254366895328, 0.21401495261653625, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9562952014676114, -0.04370479853238862, 1.9562952014676114, -0.04340018884517116, 1.9562952014676114, -0.04248645257058015, 1.9562952014676114, -0.04096386804153629, 1.9562952014676114, -0.03883289905203724, 1.9562952014676114, -0.03609419471587971, 1.9562952014676114, -0.032748589268935424, 1.9562952014676114, -0.02879710181503281, 1.9562952014676114, -0.024240936015529346, 1.9562952014676114, -0.019081479722664385, 1.9562952014676114, -0.013320304556804663, 1.9562952014676114, -0.006959165427716574, 1.9562952014676114, 1.9562952014676114, 0.007555071897140886, 1.9562952014676114, 0.015703748915618432, 1.9562952014676114, 0.024443548889474753, 1.9562952014676114, 0.03377180959097359, 1.9562952014676114, 0.04368568954154051, 1.9562952014676114, 0.054182168877304315, 1.9562952014676114, 0.06525805026897746, 1.9562952014676114, 0.0769099598957943, 1.9562952014676114, 0.08913434847320789, 1.9562952014676114, 0.10192749233403653, 1.9562952014676114, 0.11528549456273063, 1.9562952014676114, 0.12920428618240964, 1.9562952014676114, 0.1436796273943115, 1.9562952014676114, 0.1587071088692773, 1.9562952014676114, 0.17428215309087558, 1.9562952014676114, 0.1904000157497574, 1.9562952014676114, 0.20705578718881967, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9487401295704705, -0.05125987042952951, 1.9487401295704705, -0.05095526074231205, 1.9487401295704705, -0.05004152446772103, 1.9487401295704705, -0.048518939938677175, 1.9487401295704705, -0.046387970949178126, 1.9487401295704705, -0.0436492666130206, 1.9487401295704705, -0.04030366116607631, 1.9487401295704705, -0.036352173712173697, 1.9487401295704705, -0.03179600791267023, 1.9487401295704705, -0.02663655161980527, 1.9487401295704705, -0.02087537645394555, 1.9487401295704705, -0.01451423732485746, 1.9487401295704705, -0.007555071897140886, 1.9487401295704705, 1.9487401295704705, 0.008148677018477546, 1.9487401295704705, 0.016888476992333867, 1.9487401295704705, 0.026216737693832703, 1.9487401295704705, 0.03613061764439962, 1.9487401295704705, 0.04662709698016343, 1.9487401295704705, 0.05770297837183658, 1.9487401295704705, 0.06935488799865341, 1.9487401295704705, 0.081579276576067, 1.9487401295704705, 0.09437242043689564, 1.9487401295704705, 0.10773042266558974, 1.9487401295704705, 0.12164921428526876, 1.9487401295704705, 0.13612455549717062, 1.9487401295704705, 0.15115203697213642, 1.9487401295704705, 0.1667270811937347, 1.9487401295704705, 0.18284494385261651, 1.9487401295704705, 0.1995007152916788, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.940591452551993, -0.059408547448007054, 1.940591452551993, -0.05910393776078959, 1.940591452551993, -0.05819020148619858, 1.940591452551993, -0.05666761695715472, 1.940591452551993, -0.05453664796765567, 1.940591452551993, -0.051797943631498145, 1.940591452551993, -0.048452338184553856, 1.940591452551993, -0.04450085073065124, 1.940591452551993, -0.03994468493114778, 1.940591452551993, -0.03478522863828282, 1.940591452551993, -0.029024053472423095, 1.940591452551993, -0.022662914343335006, 1.940591452551993, -0.015703748915618432, 1.940591452551993, -0.008148677018477546, 1.940591452551993, 1.940591452551993, 0.008739799973856321, 1.940591452551993, 0.018068060675355158, 1.940591452551993, 0.027981940625922075, 1.940591452551993, 0.038478419961685884, 1.940591452551993, 0.04955430135335903, 1.940591452551993, 0.06120621098017587, 1.940591452551993, 0.07343059955758946, 1.940591452551993, 0.0862237434184181, 1.940591452551993, 0.0995817456471122, 1.940591452551993, 0.11350053726679121, 1.940591452551993, 0.12797587847869307, 1.940591452551993, 0.14300335995365887, 1.940591452551993, 0.15857840417525715, 1.940591452551993, 0.17469626683413897, 1.940591452551993, 0.19135203827320124, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9318516525781366, -0.06814834742186338, 1.9318516525781366, -0.06784373773464591, 1.9318516525781366, -0.0669300014600549, 1.9318516525781366, -0.06540741693101104, 1.9318516525781366, -0.06327644794151199, 1.9318516525781366, -0.060537743605354466, 1.9318516525781366, -0.05719213815841018, 1.9318516525781366, -0.053240650704507564, 1.9318516525781366, -0.0486844849050041, 1.9318516525781366, -0.04352502861213914, 1.9318516525781366, -0.037763853446279416, 1.9318516525781366, -0.03140271431719133, 1.9318516525781366, -0.024443548889474753, 1.9318516525781366, -0.016888476992333867, 1.9318516525781366, -0.008739799973856321, 1.9318516525781366, 1.9318516525781366, 0.009328260701498836, 1.9318516525781366, 0.019242140652065753, 1.9318516525781366, 0.029738619987829562, 1.9318516525781366, 0.04081450137950271, 1.9318516525781366, 0.05246641100631955, 1.9318516525781366, 0.06469079958373314, 1.9318516525781366, 0.07748394344456178, 1.9318516525781366, 0.09084194567325587, 1.9318516525781366, 0.10476073729293489, 1.9318516525781366, 0.11923607850483675, 1.9318516525781366, 0.13426355997980255, 1.9318516525781366, 0.14983860420140083, 1.9318516525781366, 0.16595646686028265, 1.9318516525781366, 0.18261223829934492, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9225233918766378, -0.07747660812336221, 1.9225233918766378, -0.07717199843614475, 1.9225233918766378, -0.07625826216155374, 1.9225233918766378, -0.07473567763250988, 1.9225233918766378, -0.07260470864301083, 1.9225233918766378, -0.0698660043068533, 1.9225233918766378, -0.06652039885990901, 1.9225233918766378, -0.0625689114060064, 1.9225233918766378, -0.058012745606502936, 1.9225233918766378, -0.052853289313637974, 1.9225233918766378, -0.04709211414777825, 1.9225233918766378, -0.04073097501869016, 1.9225233918766378, -0.03377180959097359, 1.9225233918766378, -0.026216737693832703, 1.9225233918766378, -0.018068060675355158, 1.9225233918766378, -0.009328260701498836, 1.9225233918766378, 1.9225233918766378, 0.009913879950566917, 1.9225233918766378, 0.020410359286330726, 1.9225233918766378, 0.031486240678003874, 1.9225233918766378, 0.04313815030482071, 1.9225233918766378, 0.0553625388822343, 1.9225233918766378, 0.06815568274306294, 1.9225233918766378, 0.08151368497175704, 1.9225233918766378, 0.09543247659143606, 1.9225233918766378, 0.10990781780333791, 1.9225233918766378, 0.12493529927830371, 1.9225233918766378, 0.140510343499902, 1.9225233918766378, 0.1566282061587838, 1.9225233918766378, 0.17328397759784608, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9126095119260709, -0.08739048807392913, 1.9126095119260709, -0.08708587838671167, 1.9126095119260709, -0.08617214211212065, 1.9126095119260709, -0.0846495575830768, 1.9126095119260709, -0.08251858859357775, 1.9126095119260709, -0.07977988425742022, 1.9126095119260709, -0.07643427881047593, 1.9126095119260709, -0.07248279135657332, 1.9126095119260709, -0.06792662555706985, 1.9126095119260709, -0.06276716926420489, 1.9126095119260709, -0.05700599409834517, 1.9126095119260709, -0.05064485496925708, 1.9126095119260709, -0.04368568954154051, 1.9126095119260709, -0.03613061764439962, 1.9126095119260709, -0.027981940625922075, 1.9126095119260709, -0.019242140652065753, 1.9126095119260709, -0.009913879950566917, 1.9126095119260709, 1.9126095119260709, 0.010496479335763809, 1.9126095119260709, 0.021572360727436957, 1.9126095119260709, 0.03322427035425379, 1.9126095119260709, 0.045448658931667385, 1.9126095119260709, 0.05824180279249602, 1.9126095119260709, 0.07159980502119012, 1.9126095119260709, 0.08551859664086914, 1.9126095119260709, 0.099993937852771, 1.9126095119260709, 0.1150214193277368, 1.9126095119260709, 0.13059646354933507, 1.9126095119260709, 0.1467143262082169, 1.9126095119260709, 0.16337009764727917, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.902113032590307, -0.09788696740969294, 1.902113032590307, -0.09758235772247548, 1.902113032590307, -0.09666862144788446, 1.902113032590307, -0.0951460369188406, 1.902113032590307, -0.09301506792934155, 1.902113032590307, -0.09027636359318403, 1.902113032590307, -0.08693075814623974, 1.902113032590307, -0.08297927069233713, 1.902113032590307, -0.07842310489283366, 1.902113032590307, -0.0732636485999687, 1.902113032590307, -0.06750247343410898, 1.902113032590307, -0.06114133430502089, 1.902113032590307, -0.054182168877304315, 1.902113032590307, -0.04662709698016343, 1.902113032590307, -0.038478419961685884, 1.902113032590307, -0.029738619987829562, 1.902113032590307, -0.020410359286330726, 1.902113032590307, -0.010496479335763809, 1.902113032590307, 1.902113032590307, 0.011075881391673148, 1.902113032590307, 0.022727791018489985, 1.902113032590307, 0.034952179595903576, 1.902113032590307, 0.047745323456732214, 1.902113032590307, 0.06110332568542631, 1.902113032590307, 0.07502211730510533, 1.902113032590307, 0.08949745851700719, 1.902113032590307, 0.10452493999197299, 1.902113032590307, 0.12009998421357126, 1.902113032590307, 0.13621784687245309, 1.902113032590307, 0.15287361831151536, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.891037151198634, -0.10896284880136609, 1.891037151198634, -0.10865823911414862, 1.891037151198634, -0.10774450283955761, 1.891037151198634, -0.10622191831051375, 1.891037151198634, -0.1040909493210147, 1.891037151198634, -0.10135224498485718, 1.891037151198634, -0.09800663953791289, 1.891037151198634, -0.09405515208401027, 1.891037151198634, -0.08949898628450681, 1.891037151198634, -0.08433952999164185, 1.891037151198634, -0.07857835482578213, 1.891037151198634, -0.07221721569669404, 1.891037151198634, -0.06525805026897746, 1.891037151198634, -0.05770297837183658, 1.891037151198634, -0.04955430135335903, 1.891037151198634, -0.04081450137950271, 1.891037151198634, -0.031486240678003874, 1.891037151198634, -0.021572360727436957, 1.891037151198634, -0.011075881391673148, 1.891037151198634, 1.891037151198634, 0.011651909626816837, 1.891037151198634, 0.02387629820423043, 1.891037151198634, 0.036669442065059066, 1.891037151198634, 0.050027444293753165, 1.891037151198634, 0.06394623591343218, 1.891037151198634, 0.07842157712533404, 1.891037151198634, 0.09344905860029984, 1.891037151198634, 0.10902410282189812, 1.891037151198634, 0.12514196548077994, 1.891037151198634, 0.1417977369198422, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.879385241571817, -0.12061475842818292, 1.879385241571817, -0.12031014874096546, 1.879385241571817, -0.11939641246637445, 1.879385241571817, -0.11787382793733059, 1.879385241571817, -0.11574285894783154, 1.879385241571817, -0.11300415461167401, 1.879385241571817, -0.10965854916472972, 1.879385241571817, -0.10570706171082711, 1.879385241571817, -0.10115089591132365, 1.879385241571817, -0.09599143961845868, 1.879385241571817, -0.09023026445259896, 1.879385241571817, -0.08386912532351087, 1.879385241571817, -0.0769099598957943, 1.879385241571817, -0.06935488799865341, 1.879385241571817, -0.06120621098017587, 1.879385241571817, -0.05246641100631955, 1.879385241571817, -0.04313815030482071, 1.879385241571817, -0.03322427035425379, 1.879385241571817, -0.022727791018489985, 1.879385241571817, -0.011651909626816837, 1.879385241571817, 1.879385241571817, 0.012224388577413592, 1.879385241571817, 0.02501753243824223, 1.879385241571817, 0.03837553466693633, 1.879385241571817, 0.052294326286615345, 1.879385241571817, 0.0667696674985172, 1.879385241571817, 0.081797148973483, 1.879385241571817, 0.09737219319508128, 1.879385241571817, 0.1134900558539631, 1.879385241571817, 0.13014582729302537, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.8671608529944035, -0.13283914700559651, 1.8671608529944035, -0.13253453731837905, 1.8671608529944035, -0.13162080104378804, 1.8671608529944035, -0.13009821651474418, 1.8671608529944035, -0.12796724752524513, 1.8671608529944035, -0.1252285431890876, 1.8671608529944035, -0.12188293774214332, 1.8671608529944035, -0.1179314502882407, 1.8671608529944035, -0.11337528448873724, 1.8671608529944035, -0.10821582819587228, 1.8671608529944035, -0.10245465303001255, 1.8671608529944035, -0.09609351390092447, 1.8671608529944035, -0.08913434847320789, 1.8671608529944035, -0.081579276576067, 1.8671608529944035, -0.07343059955758946, 1.8671608529944035, -0.06469079958373314, 1.8671608529944035, -0.0553625388822343, 1.8671608529944035, -0.045448658931667385, 1.8671608529944035, -0.034952179595903576, 1.8671608529944035, -0.02387629820423043, 1.8671608529944035, -0.012224388577413592, 1.8671608529944035, 1.8671608529944035, 0.012793143860828637, 1.8671608529944035, 0.026151146089522737, 1.8671608529944035, 0.04006993770920175, 1.8671608529944035, 0.05454527892110361, 1.8671608529944035, 0.06957276039606941, 1.8671608529944035, 0.08514780461766769, 1.8671608529944035, 0.10126566727654951, 1.8671608529944035, 0.11792143871561178, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.8543677091335748, -0.14563229086642515, 1.8543677091335748, -0.1453276811792077, 1.8543677091335748, -0.14441394490461668, 1.8543677091335748, -0.14289136037557282, 1.8543677091335748, -0.14076039138607377, 1.8543677091335748, -0.13802168704991624, 1.8543677091335748, -0.13467608160297195, 1.8543677091335748, -0.13072459414906934, 1.8543677091335748, -0.12616842834956588, 1.8543677091335748, -0.12100897205670091, 1.8543677091335748, -0.11524779689084119, 1.8543677091335748, -0.1088866577617531, 1.8543677091335748, -0.10192749233403653, 1.8543677091335748, -0.09437242043689564, 1.8543677091335748, -0.0862237434184181, 1.8543677091335748, -0.07748394344456178, 1.8543677091335748, -0.06815568274306294, 1.8543677091335748, -0.05824180279249602, 1.8543677091335748, -0.047745323456732214, 1.8543677091335748, -0.036669442065059066, 1.8543677091335748, -0.02501753243824223, 1.8543677091335748, -0.012793143860828637, 1.8543677091335748, 1.8543677091335748, 0.0133580022286941, 1.8543677091335748, 0.027276793848373115, 1.8543677091335748, 0.041752135060274975, 1.8543677091335748, 0.05677961653524077, 1.8543677091335748, 0.07235466075683905, 1.8543677091335748, 0.08847252341572087, 1.8543677091335748, 0.10512829485478314, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.8410097069048807, -0.15899029309511925, 1.8410097069048807, -0.1586856834079018, 1.8410097069048807, -0.15777194713331077, 1.8410097069048807, -0.15624936260426692, 1.8410097069048807, -0.15411839361476787, 1.8410097069048807, -0.15137968927861034, 1.8410097069048807, -0.14803408383166605, 1.8410097069048807, -0.14408259637776344, 1.8410097069048807, -0.13952643057825997, 1.8410097069048807, -0.134366974285395, 1.8410097069048807, -0.1286057991195353, 1.8410097069048807, -0.1222446599904472, 1.8410097069048807, -0.11528549456273063, 1.8410097069048807, -0.10773042266558974, 1.8410097069048807, -0.0995817456471122, 1.8410097069048807, -0.09084194567325587, 1.8410097069048807, -0.08151368497175704, 1.8410097069048807, -0.07159980502119012, 1.8410097069048807, -0.06110332568542631, 1.8410097069048807, -0.050027444293753165, 1.8410097069048807, -0.03837553466693633, 1.8410097069048807, -0.026151146089522737, 1.8410097069048807, -0.0133580022286941, 1.8410097069048807, 1.8410097069048807, 0.013918791619679016, 1.8410097069048807, 0.028394132831580876, 1.8410097069048807, 0.043421614306546674, 1.8410097069048807, 0.05899665852814495, 1.8410097069048807, 0.07511452118702677, 1.8410097069048807, 0.09177029262608905, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.8270909152852017, -0.17290908471479827, 1.8270909152852017, -0.1726044750275808, 1.8270909152852017, -0.1716907387529898, 1.8270909152852017, -0.17016815422394593, 1.8270909152852017, -0.16803718523444688, 1.8270909152852017, -0.16529848089828936, 1.8270909152852017, -0.16195287545134507, 1.8270909152852017, -0.15800138799744246, 1.8270909152852017, -0.153445222197939, 1.8270909152852017, -0.14828576590507403, 1.8270909152852017, -0.1425245907392143, 1.8270909152852017, -0.13616345161012622, 1.8270909152852017, -0.12920428618240964, 1.8270909152852017, -0.12164921428526876, 1.8270909152852017, -0.11350053726679121, 1.8270909152852017, -0.10476073729293489, 1.8270909152852017, -0.09543247659143606, 1.8270909152852017, -0.08551859664086914, 1.8270909152852017, -0.07502211730510533, 1.8270909152852017, -0.06394623591343218, 1.8270909152852017, -0.052294326286615345, 1.8270909152852017, -0.04006993770920175, 1.8270909152852017, -0.027276793848373115, 1.8270909152852017, -0.013918791619679016, 1.8270909152852017, 1.8270909152852017, 0.01447534121190186, 1.8270909152852017, 0.029502822686867658, 1.8270909152852017, 0.045077866908465936, 1.8270909152852017, 0.061195729567347756, 1.8270909152852017, 0.07785150100641003, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.8126155740732999, -0.18738442592670013, 1.8126155740732999, -0.18707981623948267, 1.8126155740732999, -0.18616607996489165, 1.8126155740732999, -0.1846434954358478, 1.8126155740732999, -0.18251252644634874, 1.8126155740732999, -0.17977382211019122, 1.8126155740732999, -0.17642821666324693, 1.8126155740732999, -0.17247672920934431, 1.8126155740732999, -0.16792056340984085, 1.8126155740732999, -0.1627611071169759, 1.8126155740732999, -0.15699993195111617, 1.8126155740732999, -0.15063879282202808, 1.8126155740732999, -0.1436796273943115, 1.8126155740732999, -0.13612455549717062, 1.8126155740732999, -0.12797587847869307, 1.8126155740732999, -0.11923607850483675, 1.8126155740732999, -0.10990781780333791, 1.8126155740732999, -0.099993937852771, 1.8126155740732999, -0.08949745851700719, 1.8126155740732999, -0.07842157712533404, 1.8126155740732999, -0.0667696674985172, 1.8126155740732999, -0.05454527892110361, 1.8126155740732999, -0.041752135060274975, 1.8126155740732999, -0.028394132831580876, 1.8126155740732999, -0.01447534121190186, 1.8126155740732999, 1.8126155740732999, 0.015027481474965798, 1.8126155740732999, 0.030602525696564076, 1.8126155740732999, 0.046720388355445897, 1.8126155740732999, 0.06337615979450817, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.797588092598334, -0.20241190740166592, 1.797588092598334, -0.20210729771444846, 1.797588092598334, -0.20119356143985745, 1.797588092598334, -0.1996709769108136, 1.797588092598334, -0.19754000792131454, 1.797588092598334, -0.19480130358515702, 1.797588092598334, -0.19145569813821273, 1.797588092598334, -0.1875042106843101, 1.797588092598334, -0.18294804488480665, 1.797588092598334, -0.1777885885919417, 1.797588092598334, -0.17202741342608197, 1.797588092598334, -0.16566627429699388, 1.797588092598334, -0.1587071088692773, 1.797588092598334, -0.15115203697213642, 1.797588092598334, -0.14300335995365887, 1.797588092598334, -0.13426355997980255, 1.797588092598334, -0.12493529927830371, 1.797588092598334, -0.1150214193277368, 1.797588092598334, -0.10452493999197299, 1.797588092598334, -0.09344905860029984, 1.797588092598334, -0.081797148973483, 1.797588092598334, -0.06957276039606941, 1.797588092598334, -0.05677961653524077, 1.797588092598334, -0.043421614306546674, 1.797588092598334, -0.029502822686867658, 1.797588092598334, -0.015027481474965798, 1.797588092598334, 1.797588092598334, 0.015575044221598278, 1.797588092598334, 0.0316929068804801, 1.797588092598334, 0.04834867831954237, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.7820130483767358, -0.2179869516232642, 1.7820130483767358, -0.21768234193604674, 1.7820130483767358, -0.21676860566145573, 1.7820130483767358, -0.21524602113241187, 1.7820130483767358, -0.21311505214291282, 1.7820130483767358, -0.2103763478067553, 1.7820130483767358, -0.207030742359811, 1.7820130483767358, -0.2030792549059084, 1.7820130483767358, -0.19852308910640493, 1.7820130483767358, -0.19336363281353997, 1.7820130483767358, -0.18760245764768024, 1.7820130483767358, -0.18124131851859215, 1.7820130483767358, -0.17428215309087558, 1.7820130483767358, -0.1667270811937347, 1.7820130483767358, -0.15857840417525715, 1.7820130483767358, -0.14983860420140083, 1.7820130483767358, -0.140510343499902, 1.7820130483767358, -0.13059646354933507, 1.7820130483767358, -0.12009998421357126, 1.7820130483767358, -0.10902410282189812, 1.7820130483767358, -0.09737219319508128, 1.7820130483767358, -0.08514780461766769, 1.7820130483767358, -0.07235466075683905, 1.7820130483767358, -0.05899665852814495, 1.7820130483767358, -0.045077866908465936, 1.7820130483767358, -0.030602525696564076, 1.7820130483767358, -0.015575044221598278, 1.7820130483767358, 1.7820130483767358, 0.01611786265888182, 1.7820130483767358, 0.03277363409794409, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.765895185717854, -0.23410481428214602, 1.765895185717854, -0.23380020459492856, 1.765895185717854, -0.23288646832033755, 1.765895185717854, -0.2313638837912937, 1.765895185717854, -0.22923291480179464, 1.765895185717854, -0.2264942104656371, 1.765895185717854, -0.22314860501869282, 1.765895185717854, -0.2191971175647902, 1.765895185717854, -0.21464095176528675, 1.765895185717854, -0.20948149547242179, 1.765895185717854, -0.20372032030656206, 1.765895185717854, -0.19735918117747397, 1.765895185717854, -0.1904000157497574, 1.765895185717854, -0.18284494385261651, 1.765895185717854, -0.17469626683413897, 1.765895185717854, -0.16595646686028265, 1.765895185717854, -0.1566282061587838, 1.765895185717854, -0.1467143262082169, 1.765895185717854, -0.13621784687245309, 1.765895185717854, -0.12514196548077994, 1.765895185717854, -0.1134900558539631, 1.765895185717854, -0.10126566727654951, 1.765895185717854, -0.08847252341572087, 1.765895185717854, -0.07511452118702677, 1.765895185717854, -0.061195729567347756, 1.765895185717854, -0.046720388355445897, 1.765895185717854, -0.0316929068804801, 1.765895185717854, -0.01611786265888182, 1.765895185717854, 1.765895185717854, 0.016655771439062272, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.7492394142787917, -0.2507605857212083, 1.7492394142787917, -0.25045597603399083, 1.7492394142787917, -0.24954223975939982, 1.7492394142787917, -0.24801965523035596, 1.7492394142787917, -0.2458886862408569, 1.7492394142787917, -0.24314998190469939, 1.7492394142787917, -0.2398043764577551, 1.7492394142787917, -0.23585288900385248, 1.7492394142787917, -0.23129672320434902, 1.7492394142787917, -0.22613726691148406, 1.7492394142787917, -0.22037609174562434, 1.7492394142787917, -0.21401495261653625, 1.7492394142787917, -0.20705578718881967, 1.7492394142787917, -0.1995007152916788, 1.7492394142787917, -0.19135203827320124, 1.7492394142787917, -0.18261223829934492, 1.7492394142787917, -0.17328397759784608, 1.7492394142787917, -0.16337009764727917, 1.7492394142787917, -0.15287361831151536, 1.7492394142787917, -0.1417977369198422, 1.7492394142787917, -0.13014582729302537, 1.7492394142787917, -0.11792143871561178, 1.7492394142787917, -0.10512829485478314, 1.7492394142787917, -0.09177029262608905, 1.7492394142787917, -0.07785150100641003, 1.7492394142787917, -0.06337615979450817, 1.7492394142787917, -0.04834867831954237, 1.7492394142787917, -0.03277363409794409, 1.7492394142787917, -0.016655771439062272, 1.7492394142787917]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "KQ183s1_oFrV",
        "outputId": "d2ae525c-fdae-4dc6-e3fb-48fca23ce784"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[0.0,\n",
              " -0.03490481287456703,\n",
              " -0.06979899340500194,\n",
              " -0.10467191248588766,\n",
              " -0.1395129474882506,\n",
              " -0.17431148549531633,\n",
              " -0.20905692653530694,\n",
              " -0.24373868681029498,\n",
              " -0.2783462019201309,\n",
              " -0.31286893008046174,\n",
              " -0.34729635533386066,\n",
              " -0.38161799075308966,\n",
              " -0.41582338163551863,\n",
              " -0.44990210868773,\n",
              " -0.48384379119933546,\n",
              " -0.5176380902050415,\n",
              " -0.5512747116339983,\n",
              " -0.5847434094454735,\n",
              " -0.6180339887498949,\n",
              " -0.6511363089143134,\n",
              " -0.6840402866513374,\n",
              " -0.7167358990906005,\n",
              " -0.749213186831824,\n",
              " -0.7814622569785474,\n",
              " -0.8134732861516003,\n",
              " -0.845236523481399,\n",
              " -0.8767422935781548,\n",
              " -0.9079809994790935,\n",
              " -0.9389431255717817,\n",
              " -0.9696192404926741,\n",
              " -0.9999999999999999,\n",
              " -1.0300761498201083,\n",
              " -1.0598385284664098,\n",
              " -1.0892780700300542,\n",
              " -1.1183858069414938,\n",
              " -1.147152872702092,\n",
              " -1.1755705045849465,\n",
              " -1.2036300463040968,\n",
              " -1.2313229506513164,\n",
              " -1.2586407820996748,\n",
              " -1.2855752193730785,\n",
              " -1.3121180579810146,\n",
              " -1.3382612127177165,\n",
              " -1.3639967201249972,\n",
              " -1.3893167409179945,\n",
              " -1.414213562373095,\n",
              " -1.4386796006773022,\n",
              " -1.462707403238341,\n",
              " -1.4862896509547883,\n",
              " -1.5094191604455443,\n",
              " -1.532088886237956,\n",
              " -1.5542919229139418,\n",
              " -1.576021507213444,\n",
              " -1.5972710200945857,\n",
              " -1.618033988749895,\n",
              " -1.6383040885779836,\n",
              " -1.6580751451100835,\n",
              " -1.677341135890848,\n",
              " -1.696096192312852,\n",
              " -1.7143346014042244,\n",
              " -1.7320508075688772,\n",
              " -1.7492394142787917,\n",
              " -1.7658951857178538,\n",
              " -1.7820130483767358,\n",
              " -1.797588092598334,\n",
              " -1.8126155740732999,\n",
              " -1.8270909152852017,\n",
              " -1.8410097069048807,\n",
              " -1.8543677091335748,\n",
              " -1.8671608529944035,\n",
              " -1.8793852415718169,\n",
              " -1.8910371511986335,\n",
              " -1.902113032590307,\n",
              " -1.9126095119260709,\n",
              " -1.9225233918766378,\n",
              " -1.9318516525781366,\n",
              " -1.940591452551993,\n",
              " -1.9487401295704705,\n",
              " -1.9562952014676112,\n",
              " -1.963254366895328,\n",
              " -1.969615506024416,\n",
              " -1.9753766811902758,\n",
              " -1.9805361374831407,\n",
              " -1.9850923032826442,\n",
              " -1.9890437907365468,\n",
              " -1.992389396183491,\n",
              " -1.9951281005196486,\n",
              " -1.9972590695091477,\n",
              " -1.9987816540381915,\n",
              " -1.9996953903127825,\n",
              " -2.0,\n",
              " -1.9996953903127825,\n",
              " -1.9987816540381915,\n",
              " -1.9972590695091477,\n",
              " -1.9951281005196486,\n",
              " -1.992389396183491,\n",
              " -1.9890437907365468,\n",
              " -1.9850923032826444,\n",
              " -1.9805361374831407,\n",
              " -1.9753766811902755,\n",
              " -1.969615506024416,\n",
              " -1.963254366895328,\n",
              " -1.9562952014676114,\n",
              " -1.9487401295704705,\n",
              " -1.940591452551993,\n",
              " -1.9318516525781366,\n",
              " -1.9225233918766378,\n",
              " -1.912609511926071,\n",
              " -1.9021130325903073,\n",
              " -1.891037151198634,\n",
              " -1.879385241571817,\n",
              " -1.8671608529944035,\n",
              " -1.8543677091335748,\n",
              " -1.8410097069048807,\n",
              " -1.8270909152852022,\n",
              " -1.8126155740733,\n",
              " -1.797588092598334,\n",
              " -1.7820130483767358,\n",
              " -1.7658951857178544,\n",
              " -1.7492394142787917,\n",
              " -1.7320508075688776,\n",
              " -1.714334601404225,\n",
              " -1.6960961923128524,\n",
              " -1.677341135890848,\n",
              " -1.6580751451100835,\n",
              " -1.6383040885779843,\n",
              " -1.618033988749895,\n",
              " -1.5972710200945857,\n",
              " -1.576021507213444,\n",
              " -1.554291922913942,\n",
              " -1.532088886237956,\n",
              " -1.5094191604455436,\n",
              " -1.4862896509547885,\n",
              " -1.4627074032383414,\n",
              " -1.438679600677303,\n",
              " -1.4142135623730951,\n",
              " -1.3893167409179945,\n",
              " -1.3639967201249972,\n",
              " -1.3382612127177167,\n",
              " -1.3121180579810146,\n",
              " -1.2855752193730792,\n",
              " -1.2586407820996754,\n",
              " -1.2313229506513168,\n",
              " -1.2036300463040963,\n",
              " -1.1755705045849465,\n",
              " -1.1471528727020928,\n",
              " -1.1183858069414938,\n",
              " -1.089278070030054,\n",
              " -1.0598385284664098,\n",
              " -1.0300761498201088,\n",
              " 0.0,\n",
              " 0.0,\n",
              " -0.03490481287456703,\n",
              " 0.0,\n",
              " -0.06979899340500194,\n",
              " 0.0,\n",
              " -0.10467191248588766,\n",
              " 0.0,\n",
              " -0.1395129474882506,\n",
              " 0.0,\n",
              " -0.17431148549531633,\n",
              " 0.0,\n",
              " -0.20905692653530694,\n",
              " 0.0,\n",
              " -0.24373868681029498,\n",
              " 0.0,\n",
              " -0.2783462019201309,\n",
              " 0.0,\n",
              " -0.31286893008046174,\n",
              " 0.0,\n",
              " -0.34729635533386066,\n",
              " 0.0,\n",
              " -0.38161799075308966,\n",
              " 0.0,\n",
              " -0.41582338163551863,\n",
              " 0.0,\n",
              " -0.44990210868773,\n",
              " 0.0,\n",
              " -0.48384379119933546,\n",
              " 0.0,\n",
              " -0.5176380902050415,\n",
              " 0.0,\n",
              " -0.5512747116339983,\n",
              " 0.0,\n",
              " -0.5847434094454735,\n",
              " 0.0,\n",
              " -0.6180339887498949,\n",
              " 0.0,\n",
              " -0.6511363089143134,\n",
              " 0.0,\n",
              " -0.6840402866513374,\n",
              " 0.0,\n",
              " -0.7167358990906005,\n",
              " 0.0,\n",
              " -0.749213186831824,\n",
              " 0.0,\n",
              " -0.7814622569785474,\n",
              " 0.0,\n",
              " -0.8134732861516003,\n",
              " 0.0,\n",
              " -0.845236523481399,\n",
              " 0.0,\n",
              " -0.8767422935781548,\n",
              " 0.0,\n",
              " -0.9079809994790935,\n",
              " 0.0,\n",
              " -0.9389431255717817,\n",
              " 0.0,\n",
              " -0.9696192404926741,\n",
              " 0.0,\n",
              " -0.9999999999999999,\n",
              " 0.0,\n",
              " -1.0300761498201083,\n",
              " 0.0,\n",
              " -1.0598385284664098,\n",
              " 0.0,\n",
              " -1.0892780700300542,\n",
              " 0.0,\n",
              " -1.1183858069414938,\n",
              " 0.0,\n",
              " -1.147152872702092,\n",
              " 0.0,\n",
              " -1.1755705045849465,\n",
              " 0.0,\n",
              " -1.2036300463040968,\n",
              " 0.0,\n",
              " -1.2313229506513164,\n",
              " 0.0,\n",
              " -1.2586407820996748,\n",
              " 0.0,\n",
              " -1.2855752193730785,\n",
              " 0.0,\n",
              " -1.3121180579810146,\n",
              " 0.0,\n",
              " -1.3382612127177165,\n",
              " 0.0,\n",
              " -1.3639967201249972,\n",
              " 0.0,\n",
              " -1.3893167409179945,\n",
              " 0.0,\n",
              " -1.414213562373095,\n",
              " 0.0,\n",
              " -1.4386796006773022,\n",
              " 0.0,\n",
              " -1.462707403238341,\n",
              " 0.0,\n",
              " -1.4862896509547883,\n",
              " 0.0,\n",
              " -1.5094191604455443,\n",
              " 0.0,\n",
              " -1.532088886237956,\n",
              " 0.0,\n",
              " -1.5542919229139418,\n",
              " 0.0,\n",
              " -1.576021507213444,\n",
              " 0.0,\n",
              " -1.5972710200945857,\n",
              " 0.0,\n",
              " -1.618033988749895,\n",
              " 0.0,\n",
              " -1.6383040885779836,\n",
              " 0.0,\n",
              " -1.6580751451100835,\n",
              " 0.0,\n",
              " -1.677341135890848,\n",
              " 0.0,\n",
              " -1.696096192312852,\n",
              " 0.0,\n",
              " -1.7143346014042244,\n",
              " 0.0,\n",
              " -1.7320508075688772,\n",
              " 0.0,\n",
              " -1.7492394142787917,\n",
              " 0.0,\n",
              " -1.7658951857178538,\n",
              " 0.0,\n",
              " -1.7820130483767358,\n",
              " 0.0,\n",
              " -1.797588092598334,\n",
              " 0.0,\n",
              " -1.8126155740732999,\n",
              " 0.0,\n",
              " -1.8270909152852017,\n",
              " 0.0,\n",
              " -1.8410097069048807,\n",
              " 0.0,\n",
              " -1.8543677091335748,\n",
              " 0.0,\n",
              " -1.8671608529944035,\n",
              " 0.0,\n",
              " -1.8793852415718169,\n",
              " 0.0,\n",
              " -1.8910371511986335,\n",
              " 0.0,\n",
              " -1.902113032590307,\n",
              " 0.0,\n",
              " -1.9126095119260709,\n",
              " 0.0,\n",
              " -1.9225233918766378,\n",
              " 0.0,\n",
              " -1.9318516525781366,\n",
              " 0.0,\n",
              " -1.940591452551993,\n",
              " 0.0,\n",
              " -1.9487401295704705,\n",
              " 0.0,\n",
              " -1.9562952014676112,\n",
              " 0.0,\n",
              " -1.963254366895328,\n",
              " 0.0,\n",
              " -1.969615506024416,\n",
              " 0.0,\n",
              " -1.9753766811902758,\n",
              " 0.0,\n",
              " -1.9805361374831407,\n",
              " 0.0,\n",
              " -1.9850923032826442,\n",
              " 0.0,\n",
              " -1.9890437907365468,\n",
              " 0.0,\n",
              " -1.992389396183491,\n",
              " 0.0,\n",
              " -1.9951281005196486,\n",
              " 0.0,\n",
              " -1.9972590695091477,\n",
              " 0.0,\n",
              " -1.9987816540381915,\n",
              " 0.0,\n",
              " -1.9996953903127825,\n",
              " 0.0,\n",
              " -2.0,\n",
              " 0.0,\n",
              " -1.9996953903127825,\n",
              " 0.0,\n",
              " -1.9987816540381915,\n",
              " 0.0,\n",
              " -1.9972590695091477,\n",
              " 0.0,\n",
              " -1.9951281005196486,\n",
              " 0.0,\n",
              " -1.992389396183491,\n",
              " 0.0,\n",
              " -1.9890437907365468,\n",
              " 0.0,\n",
              " -1.9850923032826444,\n",
              " 0.0,\n",
              " -1.9805361374831407,\n",
              " 0.0,\n",
              " -1.9753766811902755,\n",
              " 0.0,\n",
              " -1.969615506024416,\n",
              " 0.0,\n",
              " -1.963254366895328,\n",
              " 0.0,\n",
              " -1.9562952014676114,\n",
              " 0.0,\n",
              " -1.9487401295704705,\n",
              " 0.0,\n",
              " -1.940591452551993,\n",
              " 0.0,\n",
              " -1.9318516525781366,\n",
              " 0.0,\n",
              " -1.9225233918766378,\n",
              " 0.0,\n",
              " -1.912609511926071,\n",
              " 0.0,\n",
              " -1.9021130325903073,\n",
              " 0.0,\n",
              " -1.891037151198634,\n",
              " 0.0,\n",
              " -1.879385241571817,\n",
              " 0.0,\n",
              " -1.8671608529944035,\n",
              " 0.0,\n",
              " -1.8543677091335748,\n",
              " 0.0,\n",
              " -1.8410097069048807,\n",
              " 0.0,\n",
              " -1.8270909152852022,\n",
              " 0.0,\n",
              " -1.8126155740733,\n",
              " 0.0,\n",
              " -1.797588092598334,\n",
              " 0.0,\n",
              " -1.7820130483767358,\n",
              " 0.0,\n",
              " -1.7658951857178544,\n",
              " 0.0,\n",
              " -1.7492394142787917,\n",
              " 0.0,\n",
              " -1.7320508075688776,\n",
              " 0.0,\n",
              " -1.714334601404225,\n",
              " 0.0,\n",
              " -1.6960961923128524,\n",
              " 0.0,\n",
              " -1.677341135890848,\n",
              " 0.0,\n",
              " -1.6580751451100835,\n",
              " 0.0,\n",
              " -1.6383040885779843,\n",
              " 0.0,\n",
              " -1.618033988749895,\n",
              " 0.0,\n",
              " -1.5972710200945857,\n",
              " 0.0,\n",
              " -1.576021507213444,\n",
              " 0.0,\n",
              " -1.554291922913942,\n",
              " 0.0,\n",
              " -1.532088886237956,\n",
              " 0.0,\n",
              " -1.5094191604455436,\n",
              " 0.0,\n",
              " -1.4862896509547885,\n",
              " 0.0,\n",
              " -1.4627074032383414,\n",
              " 0.0,\n",
              " -1.438679600677303,\n",
              " 0.0,\n",
              " -1.4142135623730951,\n",
              " 0.0,\n",
              " -1.3893167409179945,\n",
              " 0.0,\n",
              " -1.3639967201249972,\n",
              " 0.0,\n",
              " -1.3382612127177167,\n",
              " 0.0,\n",
              " -1.3121180579810146,\n",
              " 0.0,\n",
              " -1.2855752193730792,\n",
              " 0.0,\n",
              " -1.2586407820996754,\n",
              " 0.0,\n",
              " -1.2313229506513168,\n",
              " 0.0,\n",
              " -1.2036300463040963,\n",
              " 0.0,\n",
              " -1.1755705045849465,\n",
              " 0.0,\n",
              " -1.1471528727020928,\n",
              " 0.0,\n",
              " -1.1183858069414938,\n",
              " 0.0,\n",
              " -1.089278070030054,\n",
              " 0.0,\n",
              " -1.0598385284664098,\n",
              " 0.0,\n",
              " -1.0300761498201088,\n",
              " 0.0,\n",
              " -0.03490481287456703,\n",
              " -0.06979899340500194,\n",
              " -0.10467191248588766,\n",
              " -0.1395129474882506,\n",
              " -0.17431148549531633,\n",
              " -0.20905692653530694,\n",
              " -0.24373868681029498,\n",
              " -0.2783462019201309,\n",
              " -0.31286893008046174,\n",
              " -0.34729635533386066,\n",
              " -0.38161799075308966,\n",
              " -0.41582338163551863,\n",
              " -0.44990210868773,\n",
              " -0.48384379119933546,\n",
              " -0.5176380902050415,\n",
              " -0.5512747116339983,\n",
              " -0.5847434094454735,\n",
              " -0.6180339887498949,\n",
              " -0.6511363089143134,\n",
              " -0.6840402866513374,\n",
              " -0.7167358990906005,\n",
              " -0.749213186831824,\n",
              " -0.7814622569785474,\n",
              " -0.8134732861516003,\n",
              " -0.845236523481399,\n",
              " -0.8767422935781548,\n",
              " -0.9079809994790935,\n",
              " -0.9389431255717817,\n",
              " -0.9696192404926741,\n",
              " -0.9999999999999999,\n",
              " -1.0300761498201083,\n",
              " -1.0598385284664098,\n",
              " -1.0892780700300542,\n",
              " -1.1183858069414938,\n",
              " -1.147152872702092,\n",
              " -1.1755705045849465,\n",
              " -1.2036300463040968,\n",
              " -1.2313229506513164,\n",
              " -1.2586407820996748,\n",
              " -1.2855752193730785,\n",
              " -1.3121180579810146,\n",
              " -1.3382612127177165,\n",
              " -1.3639967201249972,\n",
              " -1.3893167409179945,\n",
              " -1.414213562373095,\n",
              " -1.4386796006773022,\n",
              " -1.462707403238341,\n",
              " -1.4862896509547883,\n",
              " -1.5094191604455443,\n",
              " -1.532088886237956,\n",
              " -1.5542919229139418,\n",
              " -1.576021507213444,\n",
              " -1.5972710200945857,\n",
              " -1.618033988749895,\n",
              " -1.6383040885779836,\n",
              " -1.6580751451100835,\n",
              " -1.677341135890848,\n",
              " -1.696096192312852,\n",
              " -1.7143346014042244,\n",
              " -1.7320508075688772,\n",
              " -1.7492394142787917,\n",
              " -1.7658951857178538,\n",
              " -1.7820130483767358,\n",
              " -1.797588092598334,\n",
              " -1.8126155740732999,\n",
              " -1.8270909152852017,\n",
              " -1.8410097069048807,\n",
              " -1.8543677091335748,\n",
              " -1.8671608529944035,\n",
              " -1.8793852415718169,\n",
              " -1.8910371511986335,\n",
              " -1.902113032590307,\n",
              " -1.9126095119260709,\n",
              " -1.9225233918766378,\n",
              " -1.9318516525781366,\n",
              " -1.940591452551993,\n",
              " -1.9487401295704705,\n",
              " -1.9562952014676112,\n",
              " -1.963254366895328,\n",
              " -1.969615506024416,\n",
              " -1.9753766811902758,\n",
              " -1.9805361374831407,\n",
              " -1.9850923032826442,\n",
              " -1.9890437907365468,\n",
              " -1.992389396183491,\n",
              " -1.9951281005196486,\n",
              " -1.9972590695091477,\n",
              " -1.9987816540381915,\n",
              " -1.9996953903127825,\n",
              " -2.0,\n",
              " -1.9996953903127825,\n",
              " -1.9987816540381915,\n",
              " -1.9972590695091477,\n",
              " -1.9951281005196486,\n",
              " -1.992389396183491,\n",
              " -1.9890437907365468,\n",
              " -1.9850923032826444,\n",
              " -1.9805361374831407,\n",
              " -1.9753766811902755,\n",
              " -1.969615506024416,\n",
              " -1.963254366895328,\n",
              " -1.9562952014676114,\n",
              " -1.9487401295704705,\n",
              " -1.940591452551993,\n",
              " -1.9318516525781366,\n",
              " -1.9225233918766378,\n",
              " -1.912609511926071,\n",
              " -1.9021130325903073,\n",
              " -1.891037151198634,\n",
              " -1.879385241571817,\n",
              " -1.8671608529944035,\n",
              " -1.8543677091335748,\n",
              " -1.8410097069048807,\n",
              " -1.8270909152852022,\n",
              " -1.8126155740733,\n",
              " -1.797588092598334,\n",
              " -1.7820130483767358,\n",
              " -1.7658951857178544,\n",
              " -1.7492394142787917,\n",
              " -1.7320508075688776,\n",
              " -1.714334601404225,\n",
              " -1.6960961923128524,\n",
              " -1.677341135890848,\n",
              " -1.6580751451100835,\n",
              " -1.6383040885779843,\n",
              " -1.618033988749895,\n",
              " -1.5972710200945857,\n",
              " -1.576021507213444,\n",
              " -1.554291922913942,\n",
              " -1.532088886237956,\n",
              " -1.5094191604455436,\n",
              " -1.4862896509547885,\n",
              " -1.4627074032383414,\n",
              " -1.438679600677303,\n",
              " -1.4142135623730951,\n",
              " -1.3893167409179945,\n",
              " -1.3639967201249972,\n",
              " -1.3382612127177167,\n",
              " -1.3121180579810146,\n",
              " -1.2855752193730792,\n",
              " -1.2586407820996754,\n",
              " -1.2313229506513168,\n",
              " -1.2036300463040963,\n",
              " -1.1755705045849465,\n",
              " -1.1471528727020928,\n",
              " -1.1183858069414938,\n",
              " -1.089278070030054,\n",
              " -1.0598385284664098,\n",
              " -1.0300761498201088,\n",
              " 0.03490481287456703,\n",
              " 0.03490481287456703,\n",
              " 0.03490481287456703,\n",
              " 0.03490481287456703,\n",
              " -0.03489418053043491,\n",
              " 0.03490481287456703,\n",
              " -0.06976709961132063,\n",
              " 0.03490481287456703,\n",
              " -0.10460813461368357,\n",
              " 0.03490481287456703,\n",
              " -0.1394066726207493,\n",
              " 0.03490481287456703,\n",
              " -0.1741521136607399,\n",
              " 0.03490481287456703,\n",
              " -0.20883387393572794,\n",
              " 0.03490481287456703,\n",
              " -0.24344138904556384,\n",
              " 0.03490481287456703,\n",
              " -0.2779641172058947,\n",
              " 0.03490481287456703,\n",
              " -0.3123915424592936,\n",
              " 0.03490481287456703,\n",
              " -0.3467131778785226,\n",
              " 0.03490481287456703,\n",
              " -0.3809185687609516,\n",
              " 0.03490481287456703,\n",
              " -0.41499729581316297,\n",
              " 0.03490481287456703,\n",
              " -0.4489389783247684,\n",
              " 0.03490481287456703,\n",
              " -0.48273327733047444,\n",
              " 0.03490481287456703,\n",
              " -0.5163698987594313,\n",
              " 0.03490481287456703,\n",
              " -0.5498385965709065,\n",
              " 0.03490481287456703,\n",
              " -0.5831291758753279,\n",
              " 0.03490481287456703,\n",
              " -0.6162314960397464,\n",
              " 0.03490481287456703,\n",
              " -0.6491354737767704,\n",
              " 0.03490481287456703,\n",
              " -0.6818310862160335,\n",
              " 0.03490481287456703,\n",
              " -0.714308373957257,\n",
              " 0.03490481287456703,\n",
              " -0.7465574441039804,\n",
              " 0.03490481287456703,\n",
              " -0.7785684732770333,\n",
              " 0.03490481287456703,\n",
              " -0.810331710606832,\n",
              " 0.03490481287456703,\n",
              " -0.8418374807035878,\n",
              " 0.03490481287456703,\n",
              " -0.8730761866045265,\n",
              " 0.03490481287456703,\n",
              " -0.9040383126972147,\n",
              " 0.03490481287456703,\n",
              " -0.9347144276181071,\n",
              " 0.03490481287456703,\n",
              " -0.9650951871254329,\n",
              " 0.03490481287456703,\n",
              " -0.9951713369455413,\n",
              " 0.03490481287456703,\n",
              " -1.0249337155918428,\n",
              " 0.03490481287456703,\n",
              " -1.0543732571554871,\n",
              " 0.03490481287456703,\n",
              " -1.0834809940669268,\n",
              " 0.03490481287456703,\n",
              " -1.112248059827525,\n",
              " 0.03490481287456703,\n",
              " -1.1406656917103795,\n",
              " 0.03490481287456703,\n",
              " -1.1687252334295297,\n",
              " 0.03490481287456703,\n",
              " -1.1964181377767493,\n",
              " 0.03490481287456703,\n",
              " -1.2237359692251077,\n",
              " 0.03490481287456703,\n",
              " -1.2506704064985115,\n",
              " 0.03490481287456703,\n",
              " -1.2772132451064475,\n",
              " 0.03490481287456703,\n",
              " -1.3033563998431494,\n",
              " 0.03490481287456703,\n",
              " -1.3290919072504301,\n",
              " 0.03490481287456703,\n",
              " -1.3544119280434275,\n",
              " 0.03490481287456703,\n",
              " -1.3793087494985279,\n",
              " 0.03490481287456703,\n",
              " -1.4037747878027351,\n",
              " 0.03490481287456703,\n",
              " -1.4278025903637739,\n",
              " 0.03490481287456703,\n",
              " -1.4513848380802212,\n",
              " 0.03490481287456703,\n",
              " -1.4745143475709772,\n",
              " 0.03490481287456703,\n",
              " -1.497184073363389,\n",
              " 0.03490481287456703,\n",
              " -1.5193871100393748,\n",
              " 0.03490481287456703,\n",
              " -1.541116694338877,\n",
              " 0.03490481287456703,\n",
              " -1.5623662072200186,\n",
              " 0.03490481287456703,\n",
              " -1.5831291758753279,\n",
              " 0.03490481287456703,\n",
              " -1.6033992757034166,\n",
              " 0.03490481287456703,\n",
              " -1.6231703322355164,\n",
              " 0.03490481287456703,\n",
              " -1.642436323016281,\n",
              " 0.03490481287456703,\n",
              " -1.6611913794382849,\n",
              " 0.03490481287456703,\n",
              " -1.6794297885296574,\n",
              " 0.03490481287456703,\n",
              " -1.6971459946943102,\n",
              " 0.03490481287456703,\n",
              " -1.7143346014042247,\n",
              " 0.03490481287456703,\n",
              " -1.7309903728432867,\n",
              " 0.03490481287456703,\n",
              " -1.7471082355021688,\n",
              " 0.03490481287456703,\n",
              " -1.762683279723767,\n",
              " 0.03490481287456703,\n",
              " -1.7777107611987328,\n",
              " 0.03490481287456703,\n",
              " -1.7921861024106347,\n",
              " 0.03490481287456703,\n",
              " -1.8061048940303137,\n",
              " 0.03490481287456703,\n",
              " -1.8194628962590078,\n",
              " 0.03490481287456703,\n",
              " -1.8322560401198364,\n",
              " 0.03490481287456703,\n",
              " -1.8444804286972498,\n",
              " 0.03490481287456703,\n",
              " -1.8561323383240664,\n",
              " 0.03490481287456703,\n",
              " -1.86720821971574,\n",
              " 0.03490481287456703,\n",
              " -1.8777046990515038,\n",
              " 0.03490481287456703,\n",
              " -1.8876185790020708,\n",
              " 0.03490481287456703,\n",
              " -1.8969468397035696,\n",
              " 0.03490481287456703,\n",
              " -1.905686639677426,\n",
              " 0.03490481287456703,\n",
              " -1.9138353166959035,\n",
              " 0.03490481287456703,\n",
              " -1.9213903885930441,\n",
              " 0.03490481287456703,\n",
              " -1.928349554020761,\n",
              " 0.03490481287456703,\n",
              " -1.934710693149849,\n",
              " 0.03490481287456703,\n",
              " -1.9404718683157087,\n",
              " 0.03490481287456703,\n",
              " -1.9456313246085737,\n",
              " 0.03490481287456703,\n",
              " -1.9501874904080772,\n",
              " 0.03490481287456703,\n",
              " -1.9541389778619798,\n",
              " 0.03490481287456703,\n",
              " -1.957484583308924,\n",
              " 0.03490481287456703,\n",
              " -1.9602232876450816,\n",
              " 0.03490481287456703,\n",
              " -1.9623542566345806,\n",
              " 0.03490481287456703,\n",
              " -1.9638768411636245,\n",
              " 0.03490481287456703,\n",
              " -1.9647905774382155,\n",
              " 0.03490481287456703,\n",
              " -1.965095187125433,\n",
              " 0.03490481287456703,\n",
              " -1.9647905774382155,\n",
              " 0.03490481287456703,\n",
              " -1.9638768411636245,\n",
              " 0.03490481287456703,\n",
              " -1.9623542566345806,\n",
              " 0.03490481287456703,\n",
              " -1.9602232876450816,\n",
              " 0.03490481287456703,\n",
              " -1.957484583308924,\n",
              " 0.03490481287456703,\n",
              " -1.9541389778619798,\n",
              " 0.03490481287456703,\n",
              " -1.9501874904080774,\n",
              " 0.03490481287456703,\n",
              " -1.9456313246085737,\n",
              " 0.03490481287456703,\n",
              " -1.9404718683157085,\n",
              " 0.03490481287456703,\n",
              " -1.934710693149849,\n",
              " 0.03490481287456703,\n",
              " -1.928349554020761,\n",
              " 0.03490481287456703,\n",
              " -1.9213903885930443,\n",
              " 0.03490481287456703,\n",
              " -1.9138353166959035,\n",
              " 0.03490481287456703,\n",
              " -1.905686639677426,\n",
              " 0.03490481287456703,\n",
              " -1.8969468397035696,\n",
              " 0.03490481287456703,\n",
              " -1.8876185790020708,\n",
              " 0.03490481287456703,\n",
              " -1.877704699051504,\n",
              " 0.03490481287456703,\n",
              " -1.8672082197157402,\n",
              " 0.03490481287456703,\n",
              " -1.8561323383240669,\n",
              " 0.03490481287456703,\n",
              " -1.84448042869725,\n",
              " 0.03490481287456703,\n",
              " -1.8322560401198364,\n",
              " 0.03490481287456703,\n",
              " -1.8194628962590078,\n",
              " 0.03490481287456703,\n",
              " -1.8061048940303137,\n",
              " 0.03490481287456703,\n",
              " -1.7921861024106351,\n",
              " 0.03490481287456703,\n",
              " -1.777710761198733,\n",
              " 0.03490481287456703,\n",
              " -1.762683279723767,\n",
              " 0.03490481287456703,\n",
              " -1.7471082355021688,\n",
              " 0.03490481287456703,\n",
              " -1.7309903728432874,\n",
              " 0.03490481287456703,\n",
              " -1.7143346014042247,\n",
              " 0.03490481287456703,\n",
              " -1.6971459946943106,\n",
              " 0.03490481287456703,\n",
              " -1.6794297885296579,\n",
              " 0.03490481287456703,\n",
              " -1.6611913794382853,\n",
              " 0.03490481287456703,\n",
              " -1.642436323016281,\n",
              " 0.03490481287456703,\n",
              " -1.6231703322355164,\n",
              " 0.03490481287456703,\n",
              " -1.6033992757034172,\n",
              " 0.03490481287456703,\n",
              " -1.5831291758753279,\n",
              " 0.03490481287456703,\n",
              " -1.5623662072200186,\n",
              " 0.03490481287456703,\n",
              " -1.541116694338877,\n",
              " 0.03490481287456703,\n",
              " -1.519387110039375,\n",
              " 0.03490481287456703,\n",
              " -1.497184073363389,\n",
              " 0.03490481287456703,\n",
              " -1.4745143475709765,\n",
              " 0.03490481287456703,\n",
              " -1.4513848380802215,\n",
              " 0.03490481287456703,\n",
              " -1.4278025903637743,\n",
              " 0.03490481287456703,\n",
              " -1.403774787802736,\n",
              " 0.03490481287456703,\n",
              " -1.379308749498528,\n",
              " 0.03490481287456703,\n",
              " -1.3544119280434275,\n",
              " 0.03490481287456703,\n",
              " -1.3290919072504301,\n",
              " 0.03490481287456703,\n",
              " -1.3033563998431497,\n",
              " 0.03490481287456703,\n",
              " -1.2772132451064475,\n",
              " 0.03490481287456703,\n",
              " -1.2506704064985121,\n",
              " 0.03490481287456703,\n",
              " -1.2237359692251084,\n",
              " 0.03490481287456703,\n",
              " -1.1964181377767498,\n",
              " 0.03490481287456703,\n",
              " -1.1687252334295293,\n",
              " 0.03490481287456703,\n",
              " -1.1406656917103795,\n",
              " 0.03490481287456703,\n",
              " -1.1122480598275257,\n",
              " 0.03490481287456703,\n",
              " -1.0834809940669268,\n",
              " 0.03490481287456703,\n",
              " -1.054373257155487,\n",
              " 0.03490481287456703,\n",
              " -1.0249337155918428,\n",
              " 0.03490481287456703,\n",
              " -0.9951713369455417,\n",
              " 0.0,\n",
              " -0.03490481287456703,\n",
              " -0.06979899340500194,\n",
              " -0.10467191248588766,\n",
              " -0.1395129474882506,\n",
              " -0.17431148549531633,\n",
              " -0.20905692653530694,\n",
              " -0.24373868681029498,\n",
              " -0.2783462019201309,\n",
              " -0.31286893008046174,\n",
              " -0.34729635533386066,\n",
              " -0.38161799075308966,\n",
              " -0.41582338163551863,\n",
              " -0.44990210868773,\n",
              " -0.48384379119933546,\n",
              " -0.5176380902050415,\n",
              " -0.5512747116339983,\n",
              " -0.5847434094454735,\n",
              " -0.6180339887498949,\n",
              " -0.6511363089143134,\n",
              " -0.6840402866513374,\n",
              " -0.7167358990906005,\n",
              " -0.749213186831824,\n",
              " -0.7814622569785474,\n",
              " -0.8134732861516003,\n",
              " -0.845236523481399,\n",
              " -0.8767422935781548,\n",
              " -0.9079809994790935,\n",
              " -0.9389431255717817,\n",
              " -0.9696192404926741,\n",
              " -0.9999999999999999,\n",
              " -1.0300761498201083,\n",
              " -1.0598385284664098,\n",
              " -1.0892780700300542,\n",
              " -1.1183858069414938,\n",
              " -1.147152872702092,\n",
              " -1.1755705045849465,\n",
              " -1.2036300463040968,\n",
              " -1.2313229506513164,\n",
              " -1.2586407820996748,\n",
              " -1.2855752193730785,\n",
              " -1.3121180579810146,\n",
              " -1.3382612127177165,\n",
              " -1.3639967201249972,\n",
              " -1.3893167409179945,\n",
              " -1.414213562373095,\n",
              " -1.4386796006773022,\n",
              " -1.462707403238341,\n",
              " -1.4862896509547883,\n",
              " -1.5094191604455443,\n",
              " -1.532088886237956,\n",
              " -1.5542919229139418,\n",
              " -1.576021507213444,\n",
              " -1.5972710200945857,\n",
              " -1.618033988749895,\n",
              " -1.6383040885779836,\n",
              " -1.6580751451100835,\n",
              " -1.677341135890848,\n",
              " -1.696096192312852,\n",
              " -1.7143346014042244,\n",
              " -1.7320508075688772,\n",
              " -1.7492394142787917,\n",
              " -1.7658951857178538,\n",
              " -1.7820130483767358,\n",
              " -1.797588092598334,\n",
              " -1.8126155740732999,\n",
              " -1.8270909152852017,\n",
              " -1.8410097069048807,\n",
              " -1.8543677091335748,\n",
              " -1.8671608529944035,\n",
              " -1.8793852415718169,\n",
              " -1.8910371511986335,\n",
              " -1.902113032590307,\n",
              " -1.9126095119260709,\n",
              " -1.9225233918766378,\n",
              " -1.9318516525781366,\n",
              " -1.940591452551993,\n",
              " -1.9487401295704705,\n",
              " -1.9562952014676112,\n",
              " -1.963254366895328,\n",
              " -1.969615506024416,\n",
              " -1.9753766811902758,\n",
              " -1.9805361374831407,\n",
              " -1.9850923032826442,\n",
              " -1.9890437907365468,\n",
              " -1.992389396183491,\n",
              " -1.9951281005196486,\n",
              " -1.9972590695091477,\n",
              " -1.9987816540381915,\n",
              " -1.9996953903127825,\n",
              " -2.0,\n",
              " -1.9996953903127825,\n",
              " -1.9987816540381915,\n",
              " -1.9972590695091477,\n",
              " -1.9951281005196486,\n",
              " -1.992389396183491,\n",
              " -1.9890437907365468,\n",
              " -1.9850923032826444,\n",
              " -1.9805361374831407,\n",
              " -1.9753766811902755,\n",
              " -1.969615506024416,\n",
              " -1.963254366895328,\n",
              " ...]"
            ]
          },
          "metadata": {},
          "execution_count": 845
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "imsize=512\n",
        "D=100\n",
        "W=100\n",
        "lambda_=0.2\n",
        "Dl=D/lambda_\n",
        "coor = np.asarray([[0,0],[0,10],[0,20],[0,30]]) # Telescope coordinates\n",
        "nc = []\n",
        "for i in range(0,30):\n",
        "    rotated_coor = earth_rotate(coor, i*240)\n",
        "    for j in range(2):\n",
        "        nc.append(rotated_coor[j])\n",
        "npc = np.asarray(nc)\n",
        "u,v=caluv(npc)\n",
        "sampling = np.zeros((imsize,imsize), dtype='float')\n",
        "for i in range(0,len(v)):\n",
        "  sampling[imsize//2+int(u[i]),imsize//2+int(v[i])]=1\n",
        "\n",
        "fig, axes = plt.subplots(figsize=(12,12), nrows=2, ncols=2, facecolor='white')\n",
        "\n",
        "axes[0,0].scatter(npc.transpose()[0],npc.transpose()[1])\n",
        "axes[0,0].set_title('Telescope  UV plane (D/$\\lambda$)')\n",
        "\n",
        "axes[0,1].pcolor(img)\n",
        "axes[0,1].set_title('Real sky image')\n",
        "psf = np.abs( np.fft.fftshift( np.fft.fft2(sampling)))\n",
        "axes[1,0].pcolor(psf)\n",
        "axes[1,0].set_title('Telescope resolution ($\\lambda$/D)')\n",
        "\n",
        "obsSky = np.abs(np.fft.ifft2(np.fft.fftshift(sampling * fftImg0)))\n",
        "axes[1,1].pcolor(obsSky)\n",
        "axes[1,1].set_title('Observed sky image')\n",
        "for ax in axes.flat:\n",
        "  if ax is not axes[0,0]:\n",
        "    ax.set_xlim(imsize/2-100,imsize/2+100)\n",
        "    ax.set_ylim(imsize/2-100,imsize/2+100)\n",
        "    ax.axis('off')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 986
        },
        "id": "RbecD2oIS4ZL",
        "outputId": "08f0ac46-6e4f-46d2-b8c9-3f618279e647"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.0, 0.0, -0.03490481287456703, 0.0, -0.06979899340500194, 0.0, -0.10467191248588766, 0.0, -0.1395129474882506, 0.0, -0.17431148549531633, 0.0, -0.20905692653530694, 0.0, -0.24373868681029498, 0.0, -0.2783462019201309, 0.0, -0.31286893008046174, 0.0, -0.34729635533386066, 0.0, -0.38161799075308966, 0.0, -0.41582338163551863, 0.0, -0.44990210868773, 0.0, -0.48384379119933546, 0.0, -0.5176380902050415, 0.0, -0.5512747116339983, 0.0, -0.5847434094454735, 0.0, -0.6180339887498949, 0.0, -0.6511363089143134, 0.0, -0.6840402866513374, 0.0, -0.7167358990906005, 0.0, -0.749213186831824, 0.0, -0.7814622569785474, 0.0, -0.8134732861516003, 0.0, -0.845236523481399, 0.0, -0.8767422935781548, 0.0, -0.9079809994790935, 0.0, -0.9389431255717817, 0.0, -0.9696192404926741, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.03490481287456703, 0.03490481287456703, 0.03490481287456703, 0.03490481287456703, -0.03489418053043491, 0.03490481287456703, -0.06976709961132063, 0.03490481287456703, -0.10460813461368357, 0.03490481287456703, -0.1394066726207493, 0.03490481287456703, -0.1741521136607399, 0.03490481287456703, -0.20883387393572794, 0.03490481287456703, -0.24344138904556384, 0.03490481287456703, -0.2779641172058947, 0.03490481287456703, -0.3123915424592936, 0.03490481287456703, -0.3467131778785226, 0.03490481287456703, -0.3809185687609516, 0.03490481287456703, -0.41499729581316297, 0.03490481287456703, -0.4489389783247684, 0.03490481287456703, -0.48273327733047444, 0.03490481287456703, -0.5163698987594313, 0.03490481287456703, -0.5498385965709065, 0.03490481287456703, -0.5831291758753279, 0.03490481287456703, -0.6162314960397464, 0.03490481287456703, -0.6491354737767704, 0.03490481287456703, -0.6818310862160335, 0.03490481287456703, -0.714308373957257, 0.03490481287456703, -0.7465574441039804, 0.03490481287456703, -0.7785684732770333, 0.03490481287456703, -0.810331710606832, 0.03490481287456703, -0.8418374807035878, 0.03490481287456703, -0.8730761866045265, 0.03490481287456703, -0.9040383126972147, 0.03490481287456703, -0.9347144276181071, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.06979899340500194, 0.06979899340500194, 0.06979899340500194, 0.03489418053043491, 0.06979899340500194, 0.06979899340500194, -0.03487291908088572, 0.06979899340500194, -0.06971395408324867, 0.06979899340500194, -0.1045124920903144, 0.06979899340500194, -0.139257933130305, 0.06979899340500194, -0.17393969340529303, 0.06979899340500194, -0.20854720851512892, 0.06979899340500194, -0.24306993667545979, 0.06979899340500194, -0.2774973619288587, 0.06979899340500194, -0.3118189973480877, 0.06979899340500194, -0.3460243882305167, 0.06979899340500194, -0.38010311528272805, 0.06979899340500194, -0.4140447977943335, 0.06979899340500194, -0.4478390968000395, 0.06979899340500194, -0.4814757182289964, 0.06979899340500194, -0.5149444160404716, 0.06979899340500194, -0.548234995344893, 0.06979899340500194, -0.5813373155093114, 0.06979899340500194, -0.6142412932463355, 0.06979899340500194, -0.6469369056855986, 0.06979899340500194, -0.6794141934268221, 0.06979899340500194, -0.7116632635735455, 0.06979899340500194, -0.7436742927465984, 0.06979899340500194, -0.775437530076397, 0.06979899340500194, -0.8069433001731529, 0.06979899340500194, -0.8381820060740915, 0.06979899340500194, -0.8691441321667798, 0.06979899340500194, -0.8998202470876722, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.10467191248588766, 0.10467191248588766, 0.10467191248588766, 0.06976709961132063, 0.10467191248588766, 0.03487291908088572, 0.10467191248588766, 0.10467191248588766, -0.03484103500236295, 0.10467191248588766, -0.06963957300942868, 0.10467191248588766, -0.10438501404941929, 0.10467191248588766, -0.13906677432440734, 0.10467191248588766, -0.17367428943424323, 0.10467191248588766, -0.2081970175945741, 0.10467191248588766, -0.24262444284797302, 0.10467191248588766, -0.276946078267202, 0.10467191248588766, -0.311151469149631, 0.10467191248588766, -0.34523019620184237, 0.10467191248588766, -0.3791718787134478, 0.10467191248588766, -0.41296617771915384, 0.10467191248588766, -0.4466027991481107, 0.10467191248588766, -0.4800714969595859, 0.10467191248588766, -0.5133620762640072, 0.10467191248588766, -0.5464643964284257, 0.10467191248588766, -0.5793683741654497, 0.10467191248588766, -0.6120639866047128, 0.10467191248588766, -0.6445412743459363, 0.10467191248588766, -0.6767903444926597, 0.10467191248588766, -0.7088013736657126, 0.10467191248588766, -0.7405646109955113, 0.10467191248588766, -0.7720703810922671, 0.10467191248588766, -0.8033090869932058, 0.10467191248588766, -0.834271213085894, 0.10467191248588766, -0.8649473280067864, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.1395129474882506, 0.1395129474882506, 0.1395129474882506, 0.10460813461368357, 0.1395129474882506, 0.06971395408324867, 0.1395129474882506, 0.03484103500236295, 0.1395129474882506, 0.1395129474882506, -0.03479853800706573, 0.1395129474882506, -0.06954397904705634, 0.1395129474882506, -0.10422573932204438, 0.1395129474882506, -0.13883325443188027, 0.1395129474882506, -0.17335598259221113, 0.1395129474882506, -0.20778340784561006, 0.1395129474882506, -0.24210504326483906, 0.1395129474882506, -0.276310434147268, 0.1395129474882506, -0.3103891611994794, 0.1395129474882506, -0.34433084371108486, 0.1395129474882506, -0.3781251427167909, 0.1395129474882506, -0.4117617641457477, 0.1395129474882506, -0.44523046195722293, 0.1395129474882506, -0.4785210412616443, 0.1395129474882506, -0.5116233614260628, 0.1395129474882506, -0.5445273391630868, 0.1395129474882506, -0.5772229516023499, 0.1395129474882506, -0.6097002393435734, 0.1395129474882506, -0.6419493094902968, 0.1395129474882506, -0.6739603386633497, 0.1395129474882506, -0.7057235759931484, 0.1395129474882506, -0.7372293460899042, 0.1395129474882506, -0.7684680519908429, 0.1395129474882506, -0.7994301780835311, 0.1395129474882506, -0.8301062930044235, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.17431148549531633, 0.17431148549531633, 0.17431148549531633, 0.1394066726207493, 0.17431148549531633, 0.1045124920903144, 0.17431148549531633, 0.06963957300942868, 0.17431148549531633, 0.03479853800706573, 0.17431148549531633, 0.17431148549531633, -0.03474544103999061, 0.17431148549531633, -0.06942720131497865, 0.17431148549531633, -0.10403471642481454, 0.17431148549531633, -0.1385574445851454, 0.17431148549531633, -0.17298486983854433, 0.17431148549531633, -0.20730650525777333, 0.17431148549531633, -0.2415118961402023, 0.17431148549531633, -0.2755906231924137, 0.17431148549531633, -0.30953230570401913, 0.17431148549531633, -0.34332660470972515, 0.17431148549531633, -0.376963226138682, 0.17431148549531633, -0.4104319239501572, 0.17431148549531633, -0.44372250325457857, 0.17431148549531633, -0.47682482341899707, 0.17431148549531633, -0.509728801156021, 0.17431148549531633, -0.5424244135952843, 0.17431148549531633, -0.5749017013365076, 0.17431148549531633, -0.6071507714832312, 0.17431148549531633, -0.639161800656284, 0.17431148549531633, -0.6709250379860827, 0.17431148549531633, -0.7024308080828385, 0.17431148549531633, -0.7336695139837772, 0.17431148549531633, -0.7646316400764654, 0.17431148549531633, -0.7953077549973577, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.20905692653530694, 0.20905692653530694, 0.20905692653530694, 0.1741521136607399, 0.20905692653530694, 0.139257933130305, 0.20905692653530694, 0.10438501404941929, 0.20905692653530694, 0.06954397904705634, 0.20905692653530694, 0.03474544103999061, 0.20905692653530694, 0.20905692653530694, -0.03468176027498804, 0.20905692653530694, -0.06928927538482393, 0.20905692653530694, -0.1038120035451548, 0.20905692653530694, -0.13823942879855372, 0.20905692653530694, -0.17256106421778272, 0.20905692653530694, -0.2067664551002117, 0.20905692653530694, -0.24084518215242307, 0.20905692653530694, -0.2747868646640285, 0.20905692653530694, -0.30858116366973454, 0.20905692653530694, -0.3422177850986914, 0.20905692653530694, -0.3756864829101666, 0.20905692653530694, -0.40897706221458796, 0.20905692653530694, -0.44207938237900646, 0.20905692653530694, -0.4749833601160305, 0.20905692653530694, -0.5076789725552936, 0.20905692653530694, -0.5401562602965171, 0.20905692653530694, -0.5724053304432405, 0.20905692653530694, -0.6044163596162934, 0.20905692653530694, -0.636179596946092, 0.20905692653530694, -0.6676853670428479, 0.20905692653530694, -0.6989240729437866, 0.20905692653530694, -0.7298861990364748, 0.20905692653530694, -0.7605623139573672, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.24373868681029498, 0.24373868681029498, 0.24373868681029498, 0.20883387393572794, 0.24373868681029498, 0.17393969340529303, 0.24373868681029498, 0.13906677432440734, 0.24373868681029498, 0.10422573932204438, 0.24373868681029498, 0.06942720131497865, 0.24373868681029498, 0.03468176027498804, 0.24373868681029498, 0.24373868681029498, -0.034607515109835896, 0.24373868681029498, -0.06913024327016676, 0.24373868681029498, -0.10355766852356568, 0.24373868681029498, -0.13787930394279468, 0.24373868681029498, -0.17208469482522365, 0.24373868681029498, -0.20616342187743503, 0.24373868681029498, -0.24010510438904048, 0.24373868681029498, -0.2738994033947465, 0.24373868681029498, -0.30753602482370335, 0.24373868681029498, -0.34100472263517856, 0.24373868681029498, -0.3742953019395999, 0.24373868681029498, -0.4073976221040184, 0.24373868681029498, -0.44030159984104245, 0.24373868681029498, -0.47299721228030556, 0.24373868681029498, -0.505474500021529, 0.24373868681029498, -0.5377235701682525, 0.24373868681029498, -0.5697345993413053, 0.24373868681029498, -0.601497836671104, 0.24373868681029498, -0.6330036067678598, 0.24373868681029498, -0.6642423126687985, 0.24373868681029498, -0.6952044387614867, 0.24373868681029498, -0.7258805536823791, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.2783462019201309, 0.2783462019201309, 0.2783462019201309, 0.24344138904556384, 0.2783462019201309, 0.20854720851512892, 0.2783462019201309, 0.17367428943424323, 0.2783462019201309, 0.13883325443188027, 0.2783462019201309, 0.10403471642481454, 0.2783462019201309, 0.06928927538482393, 0.2783462019201309, 0.034607515109835896, 0.2783462019201309, 0.2783462019201309, -0.03452272816033086, 0.2783462019201309, -0.06895015341372979, 0.2783462019201309, -0.10327178883295879, 0.2783462019201309, -0.13747717971538775, 0.2783462019201309, -0.17155590676759913, 0.2783462019201309, -0.20549758927920458, 0.2783462019201309, -0.2392918882849106, 0.2783462019201309, -0.27292850971386745, 0.2783462019201309, -0.30639720752534266, 0.2783462019201309, -0.339687786829764, 0.2783462019201309, -0.3727901069941825, 0.2783462019201309, -0.40569408473120655, 0.2783462019201309, -0.43838969717046966, 0.2783462019201309, -0.47086698491169315, 0.2783462019201309, -0.5031160550584166, 0.2783462019201309, -0.5351270842314695, 0.2783462019201309, -0.5668903215612682, 0.2783462019201309, -0.598396091658024, 0.2783462019201309, -0.6296347975589627, 0.2783462019201309, -0.6605969236516509, 0.2783462019201309, -0.6912730385725432, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.31286893008046174, 0.31286893008046174, 0.31286893008046174, 0.2779641172058947, 0.31286893008046174, 0.24306993667545979, 0.31286893008046174, 0.2081970175945741, 0.31286893008046174, 0.17335598259221113, 0.31286893008046174, 0.1385574445851454, 0.31286893008046174, 0.1038120035451548, 0.31286893008046174, 0.06913024327016676, 0.31286893008046174, 0.03452272816033086, 0.31286893008046174, 0.31286893008046174, -0.034427425253398924, 0.31286893008046174, -0.06874906067262793, 0.31286893008046174, -0.10295445155505689, 0.31286893008046174, -0.13703317860726827, 0.31286893008046174, -0.17097486111887372, 0.31286893008046174, -0.20476916012457974, 0.31286893008046174, -0.2384057815535366, 0.31286893008046174, -0.2718744793650118, 0.31286893008046174, -0.30516505866943316, 0.31286893008046174, -0.33826737883385166, 0.31286893008046174, -0.3711713565708757, 0.31286893008046174, -0.4038669690101388, 0.31286893008046174, -0.4363442567513623, 0.31286893008046174, -0.4685933268980857, 0.31286893008046174, -0.5006043560711386, 0.31286893008046174, -0.5323675934009373, 0.31286893008046174, -0.5638733634976931, 0.31286893008046174, -0.5951120693986318, 0.31286893008046174, -0.62607419549132, 0.31286893008046174, -0.6567503104122123, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.34729635533386066, 0.34729635533386066, 0.34729635533386066, 0.3123915424592936, 0.34729635533386066, 0.2774973619288587, 0.34729635533386066, 0.24262444284797302, 0.34729635533386066, 0.20778340784561006, 0.34729635533386066, 0.17298486983854433, 0.34729635533386066, 0.13823942879855372, 0.34729635533386066, 0.10355766852356568, 0.34729635533386066, 0.06895015341372979, 0.34729635533386066, 0.034427425253398924, 0.34729635533386066, 0.34729635533386066, -0.034321635419229, 0.34729635533386066, -0.06852702630165797, 0.34729635533386066, -0.10260575335386934, 0.34729635533386066, -0.1365474358654748, 0.34729635533386066, -0.17034173487118082, 0.34729635533386066, -0.20397835630013766, 0.34729635533386066, -0.23744705411161288, 0.34729635533386066, -0.27073763341603424, 0.34729635533386066, -0.30383995358045274, 0.34729635533386066, -0.33674393131747676, 0.34729635533386066, -0.3694395437567399, 0.34729635533386066, -0.40191683149796337, 0.34729635533386066, -0.43416590164468677, 0.34729635533386066, -0.46617693081773964, 0.34729635533386066, -0.49794016814753833, 0.34729635533386066, -0.5294459382442942, 0.34729635533386066, -0.5606846441452329, 0.34729635533386066, -0.5916467702379211, 0.34729635533386066, -0.6223228851588134, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.38161799075308966, 0.38161799075308966, 0.38161799075308966, 0.3467131778785226, 0.38161799075308966, 0.3118189973480877, 0.38161799075308966, 0.276946078267202, 0.38161799075308966, 0.24210504326483906, 0.38161799075308966, 0.20730650525777333, 0.38161799075308966, 0.17256106421778272, 0.38161799075308966, 0.13787930394279468, 0.38161799075308966, 0.10327178883295879, 0.38161799075308966, 0.06874906067262793, 0.38161799075308966, 0.034321635419229, 0.38161799075308966, 0.38161799075308966, -0.034205390882428965, 0.38161799075308966, -0.06828411793464034, 0.38161799075308966, -0.1022258004462458, 0.38161799075308966, -0.13602009945195181, 0.38161799075308966, -0.16965672088090866, 0.38161799075308966, -0.20312541869238387, 0.38161799075308966, -0.23641599799680524, 0.38161799075308966, -0.26951831816122374, 0.38161799075308966, -0.30242229589824776, 0.38161799075308966, -0.3351179083375109, 0.38161799075308966, -0.36759519607873437, 0.38161799075308966, -0.39984426622545777, 0.38161799075308966, -0.43185529539851064, 0.38161799075308966, -0.46361853272830933, 0.38161799075308966, -0.49512430282506514, 0.38161799075308966, -0.5263630087260038, 0.38161799075308966, -0.5573251348186921, 0.38161799075308966, -0.5880012497395845, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.41582338163551863, 0.41582338163551863, 0.41582338163551863, 0.3809185687609516, 0.41582338163551863, 0.3460243882305167, 0.41582338163551863, 0.311151469149631, 0.41582338163551863, 0.276310434147268, 0.41582338163551863, 0.2415118961402023, 0.41582338163551863, 0.2067664551002117, 0.41582338163551863, 0.17208469482522365, 0.41582338163551863, 0.13747717971538775, 0.41582338163551863, 0.10295445155505689, 0.41582338163551863, 0.06852702630165797, 0.41582338163551863, 0.034205390882428965, 0.41582338163551863, 0.41582338163551863, -0.03407872705221138, 0.41582338163551863, -0.06802040956381683, 0.41582338163551863, -0.10181470856952285, 0.41582338163551863, -0.1354513299984797, 0.41582338163551863, -0.1689200278099549, 0.41582338163551863, -0.20221060711437627, 0.41582338163551863, -0.23531292727879477, 0.41582338163551863, -0.2682169050158188, 0.41582338163551863, -0.3009125174550819, 0.41582338163551863, -0.3333898051963054, 0.41582338163551863, -0.3656388753430288, 0.41582338163551863, -0.3976499045160817, 0.41582338163551863, -0.42941314184588036, 0.41582338163551863, -0.4609189119426362, 0.41582338163551863, -0.49215761784357487, 0.41582338163551863, -0.5231197439362631, 0.41582338163551863, -0.5537958588571554, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.44990210868773, 0.44990210868773, 0.44990210868773, 0.41499729581316297, 0.44990210868773, 0.38010311528272805, 0.44990210868773, 0.34523019620184237, 0.44990210868773, 0.3103891611994794, 0.44990210868773, 0.2755906231924137, 0.44990210868773, 0.24084518215242307, 0.44990210868773, 0.20616342187743503, 0.44990210868773, 0.17155590676759913, 0.44990210868773, 0.13703317860726827, 0.44990210868773, 0.10260575335386934, 0.44990210868773, 0.06828411793464034, 0.44990210868773, 0.03407872705221138, 0.44990210868773, 0.44990210868773, -0.03394168251160545, 0.44990210868773, -0.06773598151731147, 0.44990210868773, -0.10137260294626832, 0.44990210868773, -0.13484130075774353, 0.44990210868773, -0.1681318800621649, 0.44990210868773, -0.2012342002265834, 0.44990210868773, -0.23413817796360742, 0.44990210868773, -0.26683379040287053, 0.44990210868773, -0.299311078144094, 0.44990210868773, -0.3315601482908174, 0.44990210868773, -0.3635711774638703, 0.44990210868773, -0.395334414793669, 0.44990210868773, -0.4268401848904248, 0.44990210868773, -0.4580788907913635, 0.44990210868773, -0.4890410168840517, 0.44990210868773, -0.519717131804944, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.48384379119933546, 0.48384379119933546, 0.48384379119933546, 0.4489389783247684, 0.48384379119933546, 0.4140447977943335, 0.48384379119933546, 0.3791718787134478, 0.48384379119933546, 0.34433084371108486, 0.48384379119933546, 0.30953230570401913, 0.48384379119933546, 0.2747868646640285, 0.48384379119933546, 0.24010510438904048, 0.48384379119933546, 0.20549758927920458, 0.48384379119933546, 0.17097486111887372, 0.48384379119933546, 0.1365474358654748, 0.48384379119933546, 0.1022258004462458, 0.48384379119933546, 0.06802040956381683, 0.48384379119933546, 0.03394168251160545, 0.48384379119933546, 0.48384379119933546, -0.03379429900570602, 0.48384379119933546, -0.06743092043466287, 0.48384379119933546, -0.10089961824613808, 0.48384379119933546, -0.13419019755055944, 0.48384379119933546, -0.16729251771497794, 0.48384379119933546, -0.20019649545200197, 0.48384379119933546, -0.23289210789126508, 0.48384379119933546, -0.26536939563248857, 0.48384379119933546, -0.29761846577921197, 0.48384379119933546, -0.32962949495226485, 0.48384379119933546, -0.36139273228206353, 0.48384379119933546, -0.39289850237881935, 0.48384379119933546, -0.42413720827975804, 0.48384379119933546, -0.45509933437244626, 0.48384379119933546, -0.48577544929333866, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.5176380902050415, 0.5176380902050415, 0.5176380902050415, 0.48273327733047444, 0.5176380902050415, 0.4478390968000395, 0.5176380902050415, 0.41296617771915384, 0.5176380902050415, 0.3781251427167909, 0.5176380902050415, 0.34332660470972515, 0.5176380902050415, 0.30858116366973454, 0.5176380902050415, 0.2738994033947465, 0.5176380902050415, 0.2392918882849106, 0.5176380902050415, 0.20476916012457974, 0.5176380902050415, 0.17034173487118082, 0.5176380902050415, 0.13602009945195181, 0.5176380902050415, 0.10181470856952285, 0.5176380902050415, 0.06773598151731147, 0.5176380902050415, 0.03379429900570602, 0.5176380902050415, 0.5176380902050415, -0.03363662142895685, 0.5176380902050415, -0.06710531924043206, 0.5176380902050415, -0.10039589854485342, 0.5176380902050415, -0.13349821870927192, 0.5176380902050415, -0.16640219644629595, 0.5176380902050415, -0.19909780888555906, 0.5176380902050415, -0.23157509662678255, 0.5176380902050415, -0.26382416677350595, 0.5176380902050415, -0.2958351959465588, 0.5176380902050415, -0.3275984332763575, 0.5176380902050415, -0.35910420337311333, 0.5176380902050415, -0.390342909274052, 0.5176380902050415, -0.42130503536674024, 0.5176380902050415, -0.45198115028763264, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.5512747116339983, 0.5512747116339983, 0.5512747116339983, 0.5163698987594313, 0.5512747116339983, 0.4814757182289964, 0.5512747116339983, 0.4466027991481107, 0.5512747116339983, 0.4117617641457477, 0.5512747116339983, 0.376963226138682, 0.5512747116339983, 0.3422177850986914, 0.5512747116339983, 0.30753602482370335, 0.5512747116339983, 0.27292850971386745, 0.5512747116339983, 0.2384057815535366, 0.5512747116339983, 0.20397835630013766, 0.5512747116339983, 0.16965672088090866, 0.5512747116339983, 0.1354513299984797, 0.5512747116339983, 0.10137260294626832, 0.5512747116339983, 0.06743092043466287, 0.5512747116339983, 0.03363662142895685, 0.5512747116339983, 0.5512747116339983, -0.03346869781147521, 0.5512747116339983, -0.06675927711589658, 0.5512747116339983, -0.09986159728031507, 0.5512747116339983, -0.1327655750173391, 0.5512747116339983, -0.1654611874566022, 0.5512747116339983, -0.1979384751978257, 0.5512747116339983, -0.2301875453445491, 0.5512747116339983, -0.262198574517602, 0.5512747116339983, -0.29396181184740067, 0.5512747116339983, -0.3254675819441565, 0.5512747116339983, -0.35670628784509517, 0.5512747116339983, -0.3876684139377834, 0.5512747116339983, -0.4183445288586758, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.5847434094454735, 0.5847434094454735, 0.5847434094454735, 0.5498385965709065, 0.5847434094454735, 0.5149444160404716, 0.5847434094454735, 0.4800714969595859, 0.5847434094454735, 0.44523046195722293, 0.5847434094454735, 0.4104319239501572, 0.5847434094454735, 0.3756864829101666, 0.5847434094454735, 0.34100472263517856, 0.5847434094454735, 0.30639720752534266, 0.5847434094454735, 0.2718744793650118, 0.5847434094454735, 0.23744705411161288, 0.5847434094454735, 0.20312541869238387, 0.5847434094454735, 0.1689200278099549, 0.5847434094454735, 0.13484130075774353, 0.5847434094454735, 0.10089961824613808, 0.5847434094454735, 0.06710531924043206, 0.5847434094454735, 0.03346869781147521, 0.5847434094454735, 0.5847434094454735, -0.033290579304421364, 0.5847434094454735, -0.06639289946883986, 0.5847434094454735, -0.09929687720586389, 0.5847434094454735, -0.131992489645127, 0.5847434094454735, -0.1644697773863505, 0.5847434094454735, -0.1967188475330739, 0.5847434094454735, -0.22872987670612677, 0.5847434094454735, -0.26049311403592545, 0.5847434094454735, -0.29199888413268127, 0.5847434094454735, -0.32323759003361996, 0.5847434094454735, -0.3541997161263082, 0.5847434094454735, -0.3848758310472006, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.6180339887498949, 0.6180339887498949, 0.6180339887498949, 0.5831291758753279, 0.6180339887498949, 0.548234995344893, 0.6180339887498949, 0.5133620762640072, 0.6180339887498949, 0.4785210412616443, 0.6180339887498949, 0.44372250325457857, 0.6180339887498949, 0.40897706221458796, 0.6180339887498949, 0.3742953019395999, 0.6180339887498949, 0.339687786829764, 0.6180339887498949, 0.30516505866943316, 0.6180339887498949, 0.27073763341603424, 0.6180339887498949, 0.23641599799680524, 0.6180339887498949, 0.20221060711437627, 0.6180339887498949, 0.1681318800621649, 0.6180339887498949, 0.13419019755055944, 0.6180339887498949, 0.10039589854485342, 0.6180339887498949, 0.06675927711589658, 0.6180339887498949, 0.033290579304421364, 0.6180339887498949, 0.6180339887498949, -0.0331023201644185, 0.6180339887498949, -0.06600629790144252, 0.6180339887498949, -0.09870191034070563, 0.6180339887498949, -0.13117919808192913, 0.6180339887498949, -0.16342826822865253, 0.6180339887498949, -0.1954392974017054, 0.6180339887498949, -0.2272025347315041, 0.6180339887498949, -0.2587083048282599, 0.6180339887498949, -0.2899470107291986, 0.6180339887498949, -0.3209091368218868, 0.6180339887498949, -0.3515852517427792, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.6511363089143134, 0.6511363089143134, 0.6511363089143134, 0.6162314960397464, 0.6511363089143134, 0.5813373155093114, 0.6511363089143134, 0.5464643964284257, 0.6511363089143134, 0.5116233614260628, 0.6511363089143134, 0.47682482341899707, 0.6511363089143134, 0.44207938237900646, 0.6511363089143134, 0.4073976221040184, 0.6511363089143134, 0.3727901069941825, 0.6511363089143134, 0.33826737883385166, 0.6511363089143134, 0.30383995358045274, 0.6511363089143134, 0.26951831816122374, 0.6511363089143134, 0.23531292727879477, 0.6511363089143134, 0.2012342002265834, 0.6511363089143134, 0.16729251771497794, 0.6511363089143134, 0.13349821870927192, 0.6511363089143134, 0.09986159728031507, 0.6511363089143134, 0.06639289946883986, 0.6511363089143134, 0.0331023201644185, 0.6511363089143134, 0.6511363089143134, -0.032903977737024026, 0.6511363089143134, -0.06559959017628714, 0.6511363089143134, -0.09807687791751063, 0.6511363089143134, -0.13032594806423403, 0.6511363089143134, -0.1623369772372869, 0.6511363089143134, -0.1941002145670856, 0.6511363089143134, -0.2256059846638414, 0.6511363089143134, -0.2568446905647801, 0.6511363089143134, -0.2878068166574683, 0.6511363089143134, -0.3184829315783607, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.6840402866513374, 0.6840402866513374, 0.6840402866513374, 0.6491354737767704, 0.6840402866513374, 0.6142412932463355, 0.6840402866513374, 0.5793683741654497, 0.6840402866513374, 0.5445273391630868, 0.6840402866513374, 0.509728801156021, 0.6840402866513374, 0.4749833601160305, 0.6840402866513374, 0.44030159984104245, 0.6840402866513374, 0.40569408473120655, 0.6840402866513374, 0.3711713565708757, 0.6840402866513374, 0.33674393131747676, 0.6840402866513374, 0.30242229589824776, 0.6840402866513374, 0.2682169050158188, 0.6840402866513374, 0.23413817796360742, 0.6840402866513374, 0.20019649545200197, 0.6840402866513374, 0.16640219644629595, 0.6840402866513374, 0.1327655750173391, 0.6840402866513374, 0.09929687720586389, 0.6840402866513374, 0.06600629790144252, 0.6840402866513374, 0.032903977737024026, 0.6840402866513374, 0.6840402866513374, -0.03269561243926311, 0.6840402866513374, -0.0651729001804866, 0.6840402866513374, -0.09742197032721, 0.6840402866513374, -0.12943299950026288, 0.6840402866513374, -0.16119623683006157, 0.6840402866513374, -0.19270200692681738, 0.6840402866513374, -0.22394071282775607, 0.6840402866513374, -0.2549028389204443, 0.6840402866513374, -0.2855789538413367, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.7167358990906005, 0.7167358990906005, 0.7167358990906005, 0.6818310862160335, 0.7167358990906005, 0.6469369056855986, 0.7167358990906005, 0.6120639866047128, 0.7167358990906005, 0.5772229516023499, 0.7167358990906005, 0.5424244135952843, 0.7167358990906005, 0.5076789725552936, 0.7167358990906005, 0.47299721228030556, 0.7167358990906005, 0.43838969717046966, 0.7167358990906005, 0.4038669690101388, 0.7167358990906005, 0.3694395437567399, 0.7167358990906005, 0.3351179083375109, 0.7167358990906005, 0.3009125174550819, 0.7167358990906005, 0.26683379040287053, 0.7167358990906005, 0.23289210789126508, 0.7167358990906005, 0.19909780888555906, 0.7167358990906005, 0.1654611874566022, 0.7167358990906005, 0.131992489645127, 0.7167358990906005, 0.09870191034070563, 0.7167358990906005, 0.06559959017628714, 0.7167358990906005, 0.03269561243926311, 0.7167358990906005, 0.7167358990906005, -0.03247728774122349, 0.7167358990906005, -0.0647263578879469, 0.7167358990906005, -0.09673738706099977, 0.7167358990906005, -0.12850062439079846, 0.7167358990906005, -0.16000639448755427, 0.7167358990906005, -0.19124510038849296, 0.7167358990906005, -0.22220722648118119, 0.7167358990906005, -0.2528833414020736, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.749213186831824, 0.749213186831824, 0.749213186831824, 0.714308373957257, 0.749213186831824, 0.6794141934268221, 0.749213186831824, 0.6445412743459363, 0.749213186831824, 0.6097002393435734, 0.749213186831824, 0.5749017013365076, 0.749213186831824, 0.5401562602965171, 0.749213186831824, 0.505474500021529, 0.749213186831824, 0.47086698491169315, 0.749213186831824, 0.4363442567513623, 0.749213186831824, 0.40191683149796337, 0.749213186831824, 0.36759519607873437, 0.749213186831824, 0.3333898051963054, 0.749213186831824, 0.299311078144094, 0.749213186831824, 0.26536939563248857, 0.749213186831824, 0.23157509662678255, 0.749213186831824, 0.1979384751978257, 0.749213186831824, 0.1644697773863505, 0.749213186831824, 0.13117919808192913, 0.749213186831824, 0.09807687791751063, 0.749213186831824, 0.0651729001804866, 0.749213186831824, 0.03247728774122349, 0.749213186831824, 0.749213186831824, -0.0322490701467234, 0.749213186831824, -0.06426009931977628, 0.749213186831824, -0.09602333664957496, 0.749213186831824, -0.12752910674633078, 0.749213186831824, -0.15876781264726947, 0.749213186831824, -0.1897299387399577, 0.749213186831824, -0.2204060536608501, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.7814622569785474, 0.7814622569785474, 0.7814622569785474, 0.7465574441039804, 0.7814622569785474, 0.7116632635735455, 0.7814622569785474, 0.6767903444926597, 0.7814622569785474, 0.6419493094902968, 0.7814622569785474, 0.6071507714832312, 0.7814622569785474, 0.5724053304432405, 0.7814622569785474, 0.5377235701682525, 0.7814622569785474, 0.5031160550584166, 0.7814622569785474, 0.4685933268980857, 0.7814622569785474, 0.43416590164468677, 0.7814622569785474, 0.39984426622545777, 0.7814622569785474, 0.3656388753430288, 0.7814622569785474, 0.3315601482908174, 0.7814622569785474, 0.29761846577921197, 0.7814622569785474, 0.26382416677350595, 0.7814622569785474, 0.2301875453445491, 0.7814622569785474, 0.1967188475330739, 0.7814622569785474, 0.16342826822865253, 0.7814622569785474, 0.13032594806423403, 0.7814622569785474, 0.09742197032721, 0.7814622569785474, 0.0647263578879469, 0.7814622569785474, 0.0322490701467234, 0.7814622569785474, 0.7814622569785474, -0.032011029173052874, 0.7814622569785474, -0.06377426650285156, 0.7814622569785474, -0.09528003659960738, 0.7814622569785474, -0.12651874250054607, 0.7814622569785474, -0.1574808685932343, 0.7814622569785474, -0.18815698351412669, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.8134732861516003, 0.8134732861516003, 0.8134732861516003, 0.7785684732770333, 0.8134732861516003, 0.7436742927465984, 0.8134732861516003, 0.7088013736657126, 0.8134732861516003, 0.6739603386633497, 0.8134732861516003, 0.639161800656284, 0.8134732861516003, 0.6044163596162934, 0.8134732861516003, 0.5697345993413053, 0.8134732861516003, 0.5351270842314695, 0.8134732861516003, 0.5006043560711386, 0.8134732861516003, 0.46617693081773964, 0.8134732861516003, 0.43185529539851064, 0.8134732861516003, 0.3976499045160817, 0.8134732861516003, 0.3635711774638703, 0.8134732861516003, 0.32962949495226485, 0.8134732861516003, 0.2958351959465588, 0.8134732861516003, 0.262198574517602, 0.8134732861516003, 0.22872987670612677, 0.8134732861516003, 0.1954392974017054, 0.8134732861516003, 0.1623369772372869, 0.8134732861516003, 0.12943299950026288, 0.8134732861516003, 0.09673738706099977, 0.8134732861516003, 0.06426009931977628, 0.8134732861516003, 0.032011029173052874, 0.8134732861516003, 0.8134732861516003, -0.03176323732979869, 0.8134732861516003, -0.0632690074265545, 0.8134732861516003, -0.09450771332749319, 0.8134732861516003, -0.12546983942018142, 0.8134732861516003, -0.1561459543410738, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.845236523481399, 0.845236523481399, 0.845236523481399, 0.810331710606832, 0.845236523481399, 0.775437530076397, 0.845236523481399, 0.7405646109955113, 0.845236523481399, 0.7057235759931484, 0.845236523481399, 0.6709250379860827, 0.845236523481399, 0.636179596946092, 0.845236523481399, 0.601497836671104, 0.845236523481399, 0.5668903215612682, 0.845236523481399, 0.5323675934009373, 0.845236523481399, 0.49794016814753833, 0.845236523481399, 0.46361853272830933, 0.845236523481399, 0.42941314184588036, 0.845236523481399, 0.395334414793669, 0.845236523481399, 0.36139273228206353, 0.845236523481399, 0.3275984332763575, 0.845236523481399, 0.29396181184740067, 0.845236523481399, 0.26049311403592545, 0.845236523481399, 0.2272025347315041, 0.845236523481399, 0.1941002145670856, 0.845236523481399, 0.16119623683006157, 0.845236523481399, 0.12850062439079846, 0.845236523481399, 0.09602333664957496, 0.845236523481399, 0.06377426650285156, 0.845236523481399, 0.03176323732979869, 0.845236523481399, 0.845236523481399, -0.031505770096755814, 0.845236523481399, -0.0627444759976945, 0.845236523481399, -0.09370660209038273, 0.845236523481399, -0.12438271701127512, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.8767422935781548, 0.8767422935781548, 0.8767422935781548, 0.8418374807035878, 0.8767422935781548, 0.8069433001731529, 0.8767422935781548, 0.7720703810922671, 0.8767422935781548, 0.7372293460899042, 0.8767422935781548, 0.7024308080828385, 0.8767422935781548, 0.6676853670428479, 0.8767422935781548, 0.6330036067678598, 0.8767422935781548, 0.598396091658024, 0.8767422935781548, 0.5638733634976931, 0.8767422935781548, 0.5294459382442942, 0.8767422935781548, 0.49512430282506514, 0.8767422935781548, 0.4609189119426362, 0.8767422935781548, 0.4268401848904248, 0.8767422935781548, 0.39289850237881935, 0.8767422935781548, 0.35910420337311333, 0.8767422935781548, 0.3254675819441565, 0.8767422935781548, 0.29199888413268127, 0.8767422935781548, 0.2587083048282599, 0.8767422935781548, 0.2256059846638414, 0.8767422935781548, 0.19270200692681738, 0.8767422935781548, 0.16000639448755427, 0.8767422935781548, 0.12752910674633078, 0.8767422935781548, 0.09528003659960738, 0.8767422935781548, 0.0632690074265545, 0.8767422935781548, 0.031505770096755814, 0.8767422935781548, 0.8767422935781548, -0.03123870590093869, 0.8767422935781548, -0.062200831993626915, 0.8767422935781548, -0.09287694691451931, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.9079809994790935, 0.9079809994790935, 0.9079809994790935, 0.8730761866045265, 0.9079809994790935, 0.8381820060740915, 0.9079809994790935, 0.8033090869932058, 0.9079809994790935, 0.7684680519908429, 0.9079809994790935, 0.7336695139837772, 0.9079809994790935, 0.6989240729437866, 0.9079809994790935, 0.6642423126687985, 0.9079809994790935, 0.6296347975589627, 0.9079809994790935, 0.5951120693986318, 0.9079809994790935, 0.5606846441452329, 0.9079809994790935, 0.5263630087260038, 0.9079809994790935, 0.49215761784357487, 0.9079809994790935, 0.4580788907913635, 0.9079809994790935, 0.42413720827975804, 0.9079809994790935, 0.390342909274052, 0.9079809994790935, 0.35670628784509517, 0.9079809994790935, 0.32323759003361996, 0.9079809994790935, 0.2899470107291986, 0.9079809994790935, 0.2568446905647801, 0.9079809994790935, 0.22394071282775607, 0.9079809994790935, 0.19124510038849296, 0.9079809994790935, 0.15876781264726947, 0.9079809994790935, 0.12651874250054607, 0.9079809994790935, 0.09450771332749319, 0.9079809994790935, 0.0627444759976945, 0.9079809994790935, 0.03123870590093869, 0.9079809994790935, 0.9079809994790935, -0.030962126092688225, 0.9079809994790935, -0.06163824101358062, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.9389431255717817, 0.9389431255717817, 0.9389431255717817, 0.9040383126972147, 0.9389431255717817, 0.8691441321667798, 0.9389431255717817, 0.834271213085894, 0.9389431255717817, 0.7994301780835311, 0.9389431255717817, 0.7646316400764654, 0.9389431255717817, 0.7298861990364748, 0.9389431255717817, 0.6952044387614867, 0.9389431255717817, 0.6605969236516509, 0.9389431255717817, 0.62607419549132, 0.9389431255717817, 0.5916467702379211, 0.9389431255717817, 0.5573251348186921, 0.9389431255717817, 0.5231197439362631, 0.9389431255717817, 0.4890410168840517, 0.9389431255717817, 0.45509933437244626, 0.9389431255717817, 0.42130503536674024, 0.9389431255717817, 0.3876684139377834, 0.9389431255717817, 0.3541997161263082, 0.9389431255717817, 0.3209091368218868, 0.9389431255717817, 0.2878068166574683, 0.9389431255717817, 0.2549028389204443, 0.9389431255717817, 0.22220722648118119, 0.9389431255717817, 0.1897299387399577, 0.9389431255717817, 0.1574808685932343, 0.9389431255717817, 0.12546983942018142, 0.9389431255717817, 0.09370660209038273, 0.9389431255717817, 0.062200831993626915, 0.9389431255717817, 0.030962126092688225, 0.9389431255717817, 0.9389431255717817, -0.030676114920892394, 0.0, -0.03490481287456703, -0.06979899340500194, -0.10467191248588766, -0.1395129474882506, -0.17431148549531633, -0.20905692653530694, -0.24373868681029498, -0.2783462019201309, -0.31286893008046174, -0.34729635533386066, -0.38161799075308966, -0.41582338163551863, -0.44990210868773, -0.48384379119933546, -0.5176380902050415, -0.5512747116339983, -0.5847434094454735, -0.6180339887498949, -0.6511363089143134, -0.6840402866513374, -0.7167358990906005, -0.749213186831824, -0.7814622569785474, -0.8134732861516003, -0.845236523481399, -0.8767422935781548, -0.9079809994790935, -0.9389431255717817, -0.9696192404926741, 0.9696192404926741, 0.9696192404926741, 0.9696192404926741, 0.9347144276181071, 0.9696192404926741, 0.8998202470876722, 0.9696192404926741, 0.8649473280067864, 0.9696192404926741, 0.8301062930044235, 0.9696192404926741, 0.7953077549973577, 0.9696192404926741, 0.7605623139573672, 0.9696192404926741, 0.7258805536823791, 0.9696192404926741, 0.6912730385725432, 0.9696192404926741, 0.6567503104122123, 0.9696192404926741, 0.6223228851588134, 0.9696192404926741, 0.5880012497395845, 0.9696192404926741, 0.5537958588571554, 0.9696192404926741, 0.519717131804944, 0.9696192404926741, 0.48577544929333866, 0.9696192404926741, 0.45198115028763264, 0.9696192404926741, 0.4183445288586758, 0.9696192404926741, 0.3848758310472006, 0.9696192404926741, 0.3515852517427792, 0.9696192404926741, 0.3184829315783607, 0.9696192404926741, 0.2855789538413367, 0.9696192404926741, 0.2528833414020736, 0.9696192404926741, 0.2204060536608501, 0.9696192404926741, 0.18815698351412669, 0.9696192404926741, 0.1561459543410738, 0.9696192404926741, 0.12438271701127512, 0.9696192404926741, 0.09287694691451931, 0.9696192404926741, 0.06163824101358062, 0.9696192404926741, 0.030676114920892394, 0.9696192404926741] [-2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 2.0, 2.0, 0.00030460968721746084, 2.0, 0.0012183459618084758, 2.0, 0.0027409304908523335, 2.0, 0.004871899480351383, 2.0, 0.00761060381650891, 2.0, 0.010956209263453198, 2.0, 0.014907696717355812, 2.0, 0.019463862516859276, 2.0, 0.024623318809724237, 2.0, 0.03038449397558396, 2.0, 0.03674563310467205, 2.0, 0.04370479853238862, 2.0, 0.05125987042952951, 2.0, 0.059408547448007054, 2.0, 0.06814834742186338, 2.0, 0.07747660812336221, 2.0, 0.08739048807392913, 2.0, 0.09788696740969294, 2.0, 0.10896284880136609, 2.0, 0.12061475842818292, 2.0, 0.13283914700559651, 2.0, 0.14563229086642515, 2.0, 0.15899029309511925, 2.0, 0.17290908471479827, 2.0, 0.18738442592670013, 2.0, 0.20241190740166592, 2.0, 0.2179869516232642, 2.0, 0.23410481428214602, 2.0, 0.2507605857212083, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9996953903127825, -0.00030460968721746084, 1.9996953903127825, 1.9996953903127825, 0.0009137362745910149, 1.9996953903127825, 0.0024363208036348727, 1.9996953903127825, 0.004567289793133922, 1.9996953903127825, 0.007305994129291449, 1.9996953903127825, 0.010651599576235737, 1.9996953903127825, 0.01460308703013835, 1.9996953903127825, 0.019159252829641815, 1.9996953903127825, 0.024318709122506776, 1.9996953903127825, 0.0300798842883665, 1.9996953903127825, 0.03644102341745459, 1.9996953903127825, 0.04340018884517116, 1.9996953903127825, 0.05095526074231205, 1.9996953903127825, 0.05910393776078959, 1.9996953903127825, 0.06784373773464591, 1.9996953903127825, 0.07717199843614475, 1.9996953903127825, 0.08708587838671167, 1.9996953903127825, 0.09758235772247548, 1.9996953903127825, 0.10865823911414862, 1.9996953903127825, 0.12031014874096546, 1.9996953903127825, 0.13253453731837905, 1.9996953903127825, 0.1453276811792077, 1.9996953903127825, 0.1586856834079018, 1.9996953903127825, 0.1726044750275808, 1.9996953903127825, 0.18707981623948267, 1.9996953903127825, 0.20210729771444846, 1.9996953903127825, 0.21768234193604674, 1.9996953903127825, 0.23380020459492856, 1.9996953903127825, 0.25045597603399083, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9987816540381915, -0.0012183459618084758, 1.9987816540381915, -0.0009137362745910149, 1.9987816540381915, 1.9987816540381915, 0.0015225845290438578, 1.9987816540381915, 0.003653553518542907, 1.9987816540381915, 0.006392257854700434, 1.9987816540381915, 0.009737863301644722, 1.9987816540381915, 0.013689350755547336, 1.9987816540381915, 0.0182455165550508, 1.9987816540381915, 0.02340497284791576, 1.9987816540381915, 0.029166148013775484, 1.9987816540381915, 0.03552728714286357, 1.9987816540381915, 0.04248645257058015, 1.9987816540381915, 0.05004152446772103, 1.9987816540381915, 0.05819020148619858, 1.9987816540381915, 0.0669300014600549, 1.9987816540381915, 0.07625826216155374, 1.9987816540381915, 0.08617214211212065, 1.9987816540381915, 0.09666862144788446, 1.9987816540381915, 0.10774450283955761, 1.9987816540381915, 0.11939641246637445, 1.9987816540381915, 0.13162080104378804, 1.9987816540381915, 0.14441394490461668, 1.9987816540381915, 0.15777194713331077, 1.9987816540381915, 0.1716907387529898, 1.9987816540381915, 0.18616607996489165, 1.9987816540381915, 0.20119356143985745, 1.9987816540381915, 0.21676860566145573, 1.9987816540381915, 0.23288646832033755, 1.9987816540381915, 0.24954223975939982, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9972590695091477, -0.0027409304908523335, 1.9972590695091477, -0.0024363208036348727, 1.9972590695091477, -0.0015225845290438578, 1.9972590695091477, 1.9972590695091477, 0.002130968989499049, 1.9972590695091477, 0.004869673325656576, 1.9972590695091477, 0.008215278772600865, 1.9972590695091477, 0.012166766226503478, 1.9972590695091477, 0.016722932026006943, 1.9972590695091477, 0.021882388318871904, 1.9972590695091477, 0.027643563484731626, 1.9972590695091477, 0.034004702613819715, 1.9972590695091477, 0.04096386804153629, 1.9972590695091477, 0.048518939938677175, 1.9972590695091477, 0.05666761695715472, 1.9972590695091477, 0.06540741693101104, 1.9972590695091477, 0.07473567763250988, 1.9972590695091477, 0.0846495575830768, 1.9972590695091477, 0.0951460369188406, 1.9972590695091477, 0.10622191831051375, 1.9972590695091477, 0.11787382793733059, 1.9972590695091477, 0.13009821651474418, 1.9972590695091477, 0.14289136037557282, 1.9972590695091477, 0.15624936260426692, 1.9972590695091477, 0.17016815422394593, 1.9972590695091477, 0.1846434954358478, 1.9972590695091477, 0.1996709769108136, 1.9972590695091477, 0.21524602113241187, 1.9972590695091477, 0.2313638837912937, 1.9972590695091477, 0.24801965523035596, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9951281005196486, -0.004871899480351383, 1.9951281005196486, -0.004567289793133922, 1.9951281005196486, -0.003653553518542907, 1.9951281005196486, -0.002130968989499049, 1.9951281005196486, 1.9951281005196486, 0.002738704336157527, 1.9951281005196486, 0.006084309783101816, 1.9951281005196486, 0.010035797237004429, 1.9951281005196486, 0.014591963036507893, 1.9951281005196486, 0.019751419329372855, 1.9951281005196486, 0.025512594495232577, 1.9951281005196486, 0.031873733624320666, 1.9951281005196486, 0.03883289905203724, 1.9951281005196486, 0.046387970949178126, 1.9951281005196486, 0.05453664796765567, 1.9951281005196486, 0.06327644794151199, 1.9951281005196486, 0.07260470864301083, 1.9951281005196486, 0.08251858859357775, 1.9951281005196486, 0.09301506792934155, 1.9951281005196486, 0.1040909493210147, 1.9951281005196486, 0.11574285894783154, 1.9951281005196486, 0.12796724752524513, 1.9951281005196486, 0.14076039138607377, 1.9951281005196486, 0.15411839361476787, 1.9951281005196486, 0.16803718523444688, 1.9951281005196486, 0.18251252644634874, 1.9951281005196486, 0.19754000792131454, 1.9951281005196486, 0.21311505214291282, 1.9951281005196486, 0.22923291480179464, 1.9951281005196486, 0.2458886862408569, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.992389396183491, -0.00761060381650891, 1.992389396183491, -0.007305994129291449, 1.992389396183491, -0.006392257854700434, 1.992389396183491, -0.004869673325656576, 1.992389396183491, -0.002738704336157527, 1.992389396183491, 1.992389396183491, 0.0033456054469442886, 1.992389396183491, 0.007297092900846902, 1.992389396183491, 0.011853258700350366, 1.992389396183491, 0.017012714993215328, 1.992389396183491, 0.02277389015907505, 1.992389396183491, 0.02913502928816314, 1.992389396183491, 0.03609419471587971, 1.992389396183491, 0.0436492666130206, 1.992389396183491, 0.051797943631498145, 1.992389396183491, 0.060537743605354466, 1.992389396183491, 0.0698660043068533, 1.992389396183491, 0.07977988425742022, 1.992389396183491, 0.09027636359318403, 1.992389396183491, 0.10135224498485718, 1.992389396183491, 0.11300415461167401, 1.992389396183491, 0.1252285431890876, 1.992389396183491, 0.13802168704991624, 1.992389396183491, 0.15137968927861034, 1.992389396183491, 0.16529848089828936, 1.992389396183491, 0.17977382211019122, 1.992389396183491, 0.19480130358515702, 1.992389396183491, 0.2103763478067553, 1.992389396183491, 0.2264942104656371, 1.992389396183491, 0.24314998190469939, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9890437907365468, -0.010956209263453198, 1.9890437907365468, -0.010651599576235737, 1.9890437907365468, -0.009737863301644722, 1.9890437907365468, -0.008215278772600865, 1.9890437907365468, -0.006084309783101816, 1.9890437907365468, -0.0033456054469442886, 1.9890437907365468, 1.9890437907365468, 0.0039514874539026135, 1.9890437907365468, 0.008507653253406078, 1.9890437907365468, 0.013667109546271039, 1.9890437907365468, 0.01942828471213076, 1.9890437907365468, 0.02578942384121885, 1.9890437907365468, 0.032748589268935424, 1.9890437907365468, 0.04030366116607631, 1.9890437907365468, 0.048452338184553856, 1.9890437907365468, 0.05719213815841018, 1.9890437907365468, 0.06652039885990901, 1.9890437907365468, 0.07643427881047593, 1.9890437907365468, 0.08693075814623974, 1.9890437907365468, 0.09800663953791289, 1.9890437907365468, 0.10965854916472972, 1.9890437907365468, 0.12188293774214332, 1.9890437907365468, 0.13467608160297195, 1.9890437907365468, 0.14803408383166605, 1.9890437907365468, 0.16195287545134507, 1.9890437907365468, 0.17642821666324693, 1.9890437907365468, 0.19145569813821273, 1.9890437907365468, 0.207030742359811, 1.9890437907365468, 0.22314860501869282, 1.9890437907365468, 0.2398043764577551, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9850923032826442, -0.014907696717355812, 1.9850923032826442, -0.01460308703013835, 1.9850923032826442, -0.013689350755547336, 1.9850923032826442, -0.012166766226503478, 1.9850923032826442, -0.010035797237004429, 1.9850923032826442, -0.007297092900846902, 1.9850923032826442, -0.0039514874539026135, 1.9850923032826442, 1.9850923032826442, 0.004556165799503464, 1.9850923032826442, 0.009715622092368426, 1.9850923032826442, 0.015476797258228148, 1.9850923032826442, 0.021837936387316237, 1.9850923032826442, 0.02879710181503281, 1.9850923032826442, 0.036352173712173697, 1.9850923032826442, 0.04450085073065124, 1.9850923032826442, 0.053240650704507564, 1.9850923032826442, 0.0625689114060064, 1.9850923032826442, 0.07248279135657332, 1.9850923032826442, 0.08297927069233713, 1.9850923032826442, 0.09405515208401027, 1.9850923032826442, 0.10570706171082711, 1.9850923032826442, 0.1179314502882407, 1.9850923032826442, 0.13072459414906934, 1.9850923032826442, 0.14408259637776344, 1.9850923032826442, 0.15800138799744246, 1.9850923032826442, 0.17247672920934431, 1.9850923032826442, 0.1875042106843101, 1.9850923032826442, 0.2030792549059084, 1.9850923032826442, 0.2191971175647902, 1.9850923032826442, 0.23585288900385248, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9805361374831407, -0.019463862516859276, 1.9805361374831407, -0.019159252829641815, 1.9805361374831407, -0.0182455165550508, 1.9805361374831407, -0.016722932026006943, 1.9805361374831407, -0.014591963036507893, 1.9805361374831407, -0.011853258700350366, 1.9805361374831407, -0.008507653253406078, 1.9805361374831407, -0.004556165799503464, 1.9805361374831407, 1.9805361374831407, 0.005159456292864961, 1.9805361374831407, 0.010920631458724683, 1.9805361374831407, 0.017281770587812773, 1.9805361374831407, 0.024240936015529346, 1.9805361374831407, 0.03179600791267023, 1.9805361374831407, 0.03994468493114778, 1.9805361374831407, 0.0486844849050041, 1.9805361374831407, 0.058012745606502936, 1.9805361374831407, 0.06792662555706985, 1.9805361374831407, 0.07842310489283366, 1.9805361374831407, 0.08949898628450681, 1.9805361374831407, 0.10115089591132365, 1.9805361374831407, 0.11337528448873724, 1.9805361374831407, 0.12616842834956588, 1.9805361374831407, 0.13952643057825997, 1.9805361374831407, 0.153445222197939, 1.9805361374831407, 0.16792056340984085, 1.9805361374831407, 0.18294804488480665, 1.9805361374831407, 0.19852308910640493, 1.9805361374831407, 0.21464095176528675, 1.9805361374831407, 0.23129672320434902, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9753766811902758, -0.024623318809724237, 1.9753766811902758, -0.024318709122506776, 1.9753766811902758, -0.02340497284791576, 1.9753766811902758, -0.021882388318871904, 1.9753766811902758, -0.019751419329372855, 1.9753766811902758, -0.017012714993215328, 1.9753766811902758, -0.013667109546271039, 1.9753766811902758, -0.009715622092368426, 1.9753766811902758, -0.005159456292864961, 1.9753766811902758, 1.9753766811902758, 0.005761175165859722, 1.9753766811902758, 0.012122314294947811, 1.9753766811902758, 0.019081479722664385, 1.9753766811902758, 0.02663655161980527, 1.9753766811902758, 0.03478522863828282, 1.9753766811902758, 0.04352502861213914, 1.9753766811902758, 0.052853289313637974, 1.9753766811902758, 0.06276716926420489, 1.9753766811902758, 0.0732636485999687, 1.9753766811902758, 0.08433952999164185, 1.9753766811902758, 0.09599143961845868, 1.9753766811902758, 0.10821582819587228, 1.9753766811902758, 0.12100897205670091, 1.9753766811902758, 0.134366974285395, 1.9753766811902758, 0.14828576590507403, 1.9753766811902758, 0.1627611071169759, 1.9753766811902758, 0.1777885885919417, 1.9753766811902758, 0.19336363281353997, 1.9753766811902758, 0.20948149547242179, 1.9753766811902758, 0.22613726691148406, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.969615506024416, -0.03038449397558396, 1.969615506024416, -0.0300798842883665, 1.969615506024416, -0.029166148013775484, 1.969615506024416, -0.027643563484731626, 1.969615506024416, -0.025512594495232577, 1.969615506024416, -0.02277389015907505, 1.969615506024416, -0.01942828471213076, 1.969615506024416, -0.015476797258228148, 1.969615506024416, -0.010920631458724683, 1.969615506024416, -0.005761175165859722, 1.969615506024416, 1.969615506024416, 0.006361139129088089, 1.969615506024416, 0.013320304556804663, 1.969615506024416, 0.02087537645394555, 1.969615506024416, 0.029024053472423095, 1.969615506024416, 0.037763853446279416, 1.969615506024416, 0.04709211414777825, 1.969615506024416, 0.05700599409834517, 1.969615506024416, 0.06750247343410898, 1.969615506024416, 0.07857835482578213, 1.969615506024416, 0.09023026445259896, 1.969615506024416, 0.10245465303001255, 1.969615506024416, 0.11524779689084119, 1.969615506024416, 0.1286057991195353, 1.969615506024416, 0.1425245907392143, 1.969615506024416, 0.15699993195111617, 1.969615506024416, 0.17202741342608197, 1.969615506024416, 0.18760245764768024, 1.969615506024416, 0.20372032030656206, 1.969615506024416, 0.22037609174562434, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.963254366895328, -0.03674563310467205, 1.963254366895328, -0.03644102341745459, 1.963254366895328, -0.03552728714286357, 1.963254366895328, -0.034004702613819715, 1.963254366895328, -0.031873733624320666, 1.963254366895328, -0.02913502928816314, 1.963254366895328, -0.02578942384121885, 1.963254366895328, -0.021837936387316237, 1.963254366895328, -0.017281770587812773, 1.963254366895328, -0.012122314294947811, 1.963254366895328, -0.006361139129088089, 1.963254366895328, 1.963254366895328, 0.006959165427716574, 1.963254366895328, 0.01451423732485746, 1.963254366895328, 0.022662914343335006, 1.963254366895328, 0.03140271431719133, 1.963254366895328, 0.04073097501869016, 1.963254366895328, 0.05064485496925708, 1.963254366895328, 0.06114133430502089, 1.963254366895328, 0.07221721569669404, 1.963254366895328, 0.08386912532351087, 1.963254366895328, 0.09609351390092447, 1.963254366895328, 0.1088866577617531, 1.963254366895328, 0.1222446599904472, 1.963254366895328, 0.13616345161012622, 1.963254366895328, 0.15063879282202808, 1.963254366895328, 0.16566627429699388, 1.963254366895328, 0.18124131851859215, 1.963254366895328, 0.19735918117747397, 1.963254366895328, 0.21401495261653625, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9562952014676114, -0.04370479853238862, 1.9562952014676114, -0.04340018884517116, 1.9562952014676114, -0.04248645257058015, 1.9562952014676114, -0.04096386804153629, 1.9562952014676114, -0.03883289905203724, 1.9562952014676114, -0.03609419471587971, 1.9562952014676114, -0.032748589268935424, 1.9562952014676114, -0.02879710181503281, 1.9562952014676114, -0.024240936015529346, 1.9562952014676114, -0.019081479722664385, 1.9562952014676114, -0.013320304556804663, 1.9562952014676114, -0.006959165427716574, 1.9562952014676114, 1.9562952014676114, 0.007555071897140886, 1.9562952014676114, 0.015703748915618432, 1.9562952014676114, 0.024443548889474753, 1.9562952014676114, 0.03377180959097359, 1.9562952014676114, 0.04368568954154051, 1.9562952014676114, 0.054182168877304315, 1.9562952014676114, 0.06525805026897746, 1.9562952014676114, 0.0769099598957943, 1.9562952014676114, 0.08913434847320789, 1.9562952014676114, 0.10192749233403653, 1.9562952014676114, 0.11528549456273063, 1.9562952014676114, 0.12920428618240964, 1.9562952014676114, 0.1436796273943115, 1.9562952014676114, 0.1587071088692773, 1.9562952014676114, 0.17428215309087558, 1.9562952014676114, 0.1904000157497574, 1.9562952014676114, 0.20705578718881967, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9487401295704705, -0.05125987042952951, 1.9487401295704705, -0.05095526074231205, 1.9487401295704705, -0.05004152446772103, 1.9487401295704705, -0.048518939938677175, 1.9487401295704705, -0.046387970949178126, 1.9487401295704705, -0.0436492666130206, 1.9487401295704705, -0.04030366116607631, 1.9487401295704705, -0.036352173712173697, 1.9487401295704705, -0.03179600791267023, 1.9487401295704705, -0.02663655161980527, 1.9487401295704705, -0.02087537645394555, 1.9487401295704705, -0.01451423732485746, 1.9487401295704705, -0.007555071897140886, 1.9487401295704705, 1.9487401295704705, 0.008148677018477546, 1.9487401295704705, 0.016888476992333867, 1.9487401295704705, 0.026216737693832703, 1.9487401295704705, 0.03613061764439962, 1.9487401295704705, 0.04662709698016343, 1.9487401295704705, 0.05770297837183658, 1.9487401295704705, 0.06935488799865341, 1.9487401295704705, 0.081579276576067, 1.9487401295704705, 0.09437242043689564, 1.9487401295704705, 0.10773042266558974, 1.9487401295704705, 0.12164921428526876, 1.9487401295704705, 0.13612455549717062, 1.9487401295704705, 0.15115203697213642, 1.9487401295704705, 0.1667270811937347, 1.9487401295704705, 0.18284494385261651, 1.9487401295704705, 0.1995007152916788, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.940591452551993, -0.059408547448007054, 1.940591452551993, -0.05910393776078959, 1.940591452551993, -0.05819020148619858, 1.940591452551993, -0.05666761695715472, 1.940591452551993, -0.05453664796765567, 1.940591452551993, -0.051797943631498145, 1.940591452551993, -0.048452338184553856, 1.940591452551993, -0.04450085073065124, 1.940591452551993, -0.03994468493114778, 1.940591452551993, -0.03478522863828282, 1.940591452551993, -0.029024053472423095, 1.940591452551993, -0.022662914343335006, 1.940591452551993, -0.015703748915618432, 1.940591452551993, -0.008148677018477546, 1.940591452551993, 1.940591452551993, 0.008739799973856321, 1.940591452551993, 0.018068060675355158, 1.940591452551993, 0.027981940625922075, 1.940591452551993, 0.038478419961685884, 1.940591452551993, 0.04955430135335903, 1.940591452551993, 0.06120621098017587, 1.940591452551993, 0.07343059955758946, 1.940591452551993, 0.0862237434184181, 1.940591452551993, 0.0995817456471122, 1.940591452551993, 0.11350053726679121, 1.940591452551993, 0.12797587847869307, 1.940591452551993, 0.14300335995365887, 1.940591452551993, 0.15857840417525715, 1.940591452551993, 0.17469626683413897, 1.940591452551993, 0.19135203827320124, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9318516525781366, -0.06814834742186338, 1.9318516525781366, -0.06784373773464591, 1.9318516525781366, -0.0669300014600549, 1.9318516525781366, -0.06540741693101104, 1.9318516525781366, -0.06327644794151199, 1.9318516525781366, -0.060537743605354466, 1.9318516525781366, -0.05719213815841018, 1.9318516525781366, -0.053240650704507564, 1.9318516525781366, -0.0486844849050041, 1.9318516525781366, -0.04352502861213914, 1.9318516525781366, -0.037763853446279416, 1.9318516525781366, -0.03140271431719133, 1.9318516525781366, -0.024443548889474753, 1.9318516525781366, -0.016888476992333867, 1.9318516525781366, -0.008739799973856321, 1.9318516525781366, 1.9318516525781366, 0.009328260701498836, 1.9318516525781366, 0.019242140652065753, 1.9318516525781366, 0.029738619987829562, 1.9318516525781366, 0.04081450137950271, 1.9318516525781366, 0.05246641100631955, 1.9318516525781366, 0.06469079958373314, 1.9318516525781366, 0.07748394344456178, 1.9318516525781366, 0.09084194567325587, 1.9318516525781366, 0.10476073729293489, 1.9318516525781366, 0.11923607850483675, 1.9318516525781366, 0.13426355997980255, 1.9318516525781366, 0.14983860420140083, 1.9318516525781366, 0.16595646686028265, 1.9318516525781366, 0.18261223829934492, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9225233918766378, -0.07747660812336221, 1.9225233918766378, -0.07717199843614475, 1.9225233918766378, -0.07625826216155374, 1.9225233918766378, -0.07473567763250988, 1.9225233918766378, -0.07260470864301083, 1.9225233918766378, -0.0698660043068533, 1.9225233918766378, -0.06652039885990901, 1.9225233918766378, -0.0625689114060064, 1.9225233918766378, -0.058012745606502936, 1.9225233918766378, -0.052853289313637974, 1.9225233918766378, -0.04709211414777825, 1.9225233918766378, -0.04073097501869016, 1.9225233918766378, -0.03377180959097359, 1.9225233918766378, -0.026216737693832703, 1.9225233918766378, -0.018068060675355158, 1.9225233918766378, -0.009328260701498836, 1.9225233918766378, 1.9225233918766378, 0.009913879950566917, 1.9225233918766378, 0.020410359286330726, 1.9225233918766378, 0.031486240678003874, 1.9225233918766378, 0.04313815030482071, 1.9225233918766378, 0.0553625388822343, 1.9225233918766378, 0.06815568274306294, 1.9225233918766378, 0.08151368497175704, 1.9225233918766378, 0.09543247659143606, 1.9225233918766378, 0.10990781780333791, 1.9225233918766378, 0.12493529927830371, 1.9225233918766378, 0.140510343499902, 1.9225233918766378, 0.1566282061587838, 1.9225233918766378, 0.17328397759784608, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.9126095119260709, -0.08739048807392913, 1.9126095119260709, -0.08708587838671167, 1.9126095119260709, -0.08617214211212065, 1.9126095119260709, -0.0846495575830768, 1.9126095119260709, -0.08251858859357775, 1.9126095119260709, -0.07977988425742022, 1.9126095119260709, -0.07643427881047593, 1.9126095119260709, -0.07248279135657332, 1.9126095119260709, -0.06792662555706985, 1.9126095119260709, -0.06276716926420489, 1.9126095119260709, -0.05700599409834517, 1.9126095119260709, -0.05064485496925708, 1.9126095119260709, -0.04368568954154051, 1.9126095119260709, -0.03613061764439962, 1.9126095119260709, -0.027981940625922075, 1.9126095119260709, -0.019242140652065753, 1.9126095119260709, -0.009913879950566917, 1.9126095119260709, 1.9126095119260709, 0.010496479335763809, 1.9126095119260709, 0.021572360727436957, 1.9126095119260709, 0.03322427035425379, 1.9126095119260709, 0.045448658931667385, 1.9126095119260709, 0.05824180279249602, 1.9126095119260709, 0.07159980502119012, 1.9126095119260709, 0.08551859664086914, 1.9126095119260709, 0.099993937852771, 1.9126095119260709, 0.1150214193277368, 1.9126095119260709, 0.13059646354933507, 1.9126095119260709, 0.1467143262082169, 1.9126095119260709, 0.16337009764727917, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.902113032590307, -0.09788696740969294, 1.902113032590307, -0.09758235772247548, 1.902113032590307, -0.09666862144788446, 1.902113032590307, -0.0951460369188406, 1.902113032590307, -0.09301506792934155, 1.902113032590307, -0.09027636359318403, 1.902113032590307, -0.08693075814623974, 1.902113032590307, -0.08297927069233713, 1.902113032590307, -0.07842310489283366, 1.902113032590307, -0.0732636485999687, 1.902113032590307, -0.06750247343410898, 1.902113032590307, -0.06114133430502089, 1.902113032590307, -0.054182168877304315, 1.902113032590307, -0.04662709698016343, 1.902113032590307, -0.038478419961685884, 1.902113032590307, -0.029738619987829562, 1.902113032590307, -0.020410359286330726, 1.902113032590307, -0.010496479335763809, 1.902113032590307, 1.902113032590307, 0.011075881391673148, 1.902113032590307, 0.022727791018489985, 1.902113032590307, 0.034952179595903576, 1.902113032590307, 0.047745323456732214, 1.902113032590307, 0.06110332568542631, 1.902113032590307, 0.07502211730510533, 1.902113032590307, 0.08949745851700719, 1.902113032590307, 0.10452493999197299, 1.902113032590307, 0.12009998421357126, 1.902113032590307, 0.13621784687245309, 1.902113032590307, 0.15287361831151536, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.891037151198634, -0.10896284880136609, 1.891037151198634, -0.10865823911414862, 1.891037151198634, -0.10774450283955761, 1.891037151198634, -0.10622191831051375, 1.891037151198634, -0.1040909493210147, 1.891037151198634, -0.10135224498485718, 1.891037151198634, -0.09800663953791289, 1.891037151198634, -0.09405515208401027, 1.891037151198634, -0.08949898628450681, 1.891037151198634, -0.08433952999164185, 1.891037151198634, -0.07857835482578213, 1.891037151198634, -0.07221721569669404, 1.891037151198634, -0.06525805026897746, 1.891037151198634, -0.05770297837183658, 1.891037151198634, -0.04955430135335903, 1.891037151198634, -0.04081450137950271, 1.891037151198634, -0.031486240678003874, 1.891037151198634, -0.021572360727436957, 1.891037151198634, -0.011075881391673148, 1.891037151198634, 1.891037151198634, 0.011651909626816837, 1.891037151198634, 0.02387629820423043, 1.891037151198634, 0.036669442065059066, 1.891037151198634, 0.050027444293753165, 1.891037151198634, 0.06394623591343218, 1.891037151198634, 0.07842157712533404, 1.891037151198634, 0.09344905860029984, 1.891037151198634, 0.10902410282189812, 1.891037151198634, 0.12514196548077994, 1.891037151198634, 0.1417977369198422, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.879385241571817, -0.12061475842818292, 1.879385241571817, -0.12031014874096546, 1.879385241571817, -0.11939641246637445, 1.879385241571817, -0.11787382793733059, 1.879385241571817, -0.11574285894783154, 1.879385241571817, -0.11300415461167401, 1.879385241571817, -0.10965854916472972, 1.879385241571817, -0.10570706171082711, 1.879385241571817, -0.10115089591132365, 1.879385241571817, -0.09599143961845868, 1.879385241571817, -0.09023026445259896, 1.879385241571817, -0.08386912532351087, 1.879385241571817, -0.0769099598957943, 1.879385241571817, -0.06935488799865341, 1.879385241571817, -0.06120621098017587, 1.879385241571817, -0.05246641100631955, 1.879385241571817, -0.04313815030482071, 1.879385241571817, -0.03322427035425379, 1.879385241571817, -0.022727791018489985, 1.879385241571817, -0.011651909626816837, 1.879385241571817, 1.879385241571817, 0.012224388577413592, 1.879385241571817, 0.02501753243824223, 1.879385241571817, 0.03837553466693633, 1.879385241571817, 0.052294326286615345, 1.879385241571817, 0.0667696674985172, 1.879385241571817, 0.081797148973483, 1.879385241571817, 0.09737219319508128, 1.879385241571817, 0.1134900558539631, 1.879385241571817, 0.13014582729302537, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.8671608529944035, -0.13283914700559651, 1.8671608529944035, -0.13253453731837905, 1.8671608529944035, -0.13162080104378804, 1.8671608529944035, -0.13009821651474418, 1.8671608529944035, -0.12796724752524513, 1.8671608529944035, -0.1252285431890876, 1.8671608529944035, -0.12188293774214332, 1.8671608529944035, -0.1179314502882407, 1.8671608529944035, -0.11337528448873724, 1.8671608529944035, -0.10821582819587228, 1.8671608529944035, -0.10245465303001255, 1.8671608529944035, -0.09609351390092447, 1.8671608529944035, -0.08913434847320789, 1.8671608529944035, -0.081579276576067, 1.8671608529944035, -0.07343059955758946, 1.8671608529944035, -0.06469079958373314, 1.8671608529944035, -0.0553625388822343, 1.8671608529944035, -0.045448658931667385, 1.8671608529944035, -0.034952179595903576, 1.8671608529944035, -0.02387629820423043, 1.8671608529944035, -0.012224388577413592, 1.8671608529944035, 1.8671608529944035, 0.012793143860828637, 1.8671608529944035, 0.026151146089522737, 1.8671608529944035, 0.04006993770920175, 1.8671608529944035, 0.05454527892110361, 1.8671608529944035, 0.06957276039606941, 1.8671608529944035, 0.08514780461766769, 1.8671608529944035, 0.10126566727654951, 1.8671608529944035, 0.11792143871561178, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.8543677091335748, -0.14563229086642515, 1.8543677091335748, -0.1453276811792077, 1.8543677091335748, -0.14441394490461668, 1.8543677091335748, -0.14289136037557282, 1.8543677091335748, -0.14076039138607377, 1.8543677091335748, -0.13802168704991624, 1.8543677091335748, -0.13467608160297195, 1.8543677091335748, -0.13072459414906934, 1.8543677091335748, -0.12616842834956588, 1.8543677091335748, -0.12100897205670091, 1.8543677091335748, -0.11524779689084119, 1.8543677091335748, -0.1088866577617531, 1.8543677091335748, -0.10192749233403653, 1.8543677091335748, -0.09437242043689564, 1.8543677091335748, -0.0862237434184181, 1.8543677091335748, -0.07748394344456178, 1.8543677091335748, -0.06815568274306294, 1.8543677091335748, -0.05824180279249602, 1.8543677091335748, -0.047745323456732214, 1.8543677091335748, -0.036669442065059066, 1.8543677091335748, -0.02501753243824223, 1.8543677091335748, -0.012793143860828637, 1.8543677091335748, 1.8543677091335748, 0.0133580022286941, 1.8543677091335748, 0.027276793848373115, 1.8543677091335748, 0.041752135060274975, 1.8543677091335748, 0.05677961653524077, 1.8543677091335748, 0.07235466075683905, 1.8543677091335748, 0.08847252341572087, 1.8543677091335748, 0.10512829485478314, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.8410097069048807, -0.15899029309511925, 1.8410097069048807, -0.1586856834079018, 1.8410097069048807, -0.15777194713331077, 1.8410097069048807, -0.15624936260426692, 1.8410097069048807, -0.15411839361476787, 1.8410097069048807, -0.15137968927861034, 1.8410097069048807, -0.14803408383166605, 1.8410097069048807, -0.14408259637776344, 1.8410097069048807, -0.13952643057825997, 1.8410097069048807, -0.134366974285395, 1.8410097069048807, -0.1286057991195353, 1.8410097069048807, -0.1222446599904472, 1.8410097069048807, -0.11528549456273063, 1.8410097069048807, -0.10773042266558974, 1.8410097069048807, -0.0995817456471122, 1.8410097069048807, -0.09084194567325587, 1.8410097069048807, -0.08151368497175704, 1.8410097069048807, -0.07159980502119012, 1.8410097069048807, -0.06110332568542631, 1.8410097069048807, -0.050027444293753165, 1.8410097069048807, -0.03837553466693633, 1.8410097069048807, -0.026151146089522737, 1.8410097069048807, -0.0133580022286941, 1.8410097069048807, 1.8410097069048807, 0.013918791619679016, 1.8410097069048807, 0.028394132831580876, 1.8410097069048807, 0.043421614306546674, 1.8410097069048807, 0.05899665852814495, 1.8410097069048807, 0.07511452118702677, 1.8410097069048807, 0.09177029262608905, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.8270909152852017, -0.17290908471479827, 1.8270909152852017, -0.1726044750275808, 1.8270909152852017, -0.1716907387529898, 1.8270909152852017, -0.17016815422394593, 1.8270909152852017, -0.16803718523444688, 1.8270909152852017, -0.16529848089828936, 1.8270909152852017, -0.16195287545134507, 1.8270909152852017, -0.15800138799744246, 1.8270909152852017, -0.153445222197939, 1.8270909152852017, -0.14828576590507403, 1.8270909152852017, -0.1425245907392143, 1.8270909152852017, -0.13616345161012622, 1.8270909152852017, -0.12920428618240964, 1.8270909152852017, -0.12164921428526876, 1.8270909152852017, -0.11350053726679121, 1.8270909152852017, -0.10476073729293489, 1.8270909152852017, -0.09543247659143606, 1.8270909152852017, -0.08551859664086914, 1.8270909152852017, -0.07502211730510533, 1.8270909152852017, -0.06394623591343218, 1.8270909152852017, -0.052294326286615345, 1.8270909152852017, -0.04006993770920175, 1.8270909152852017, -0.027276793848373115, 1.8270909152852017, -0.013918791619679016, 1.8270909152852017, 1.8270909152852017, 0.01447534121190186, 1.8270909152852017, 0.029502822686867658, 1.8270909152852017, 0.045077866908465936, 1.8270909152852017, 0.061195729567347756, 1.8270909152852017, 0.07785150100641003, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.8126155740732999, -0.18738442592670013, 1.8126155740732999, -0.18707981623948267, 1.8126155740732999, -0.18616607996489165, 1.8126155740732999, -0.1846434954358478, 1.8126155740732999, -0.18251252644634874, 1.8126155740732999, -0.17977382211019122, 1.8126155740732999, -0.17642821666324693, 1.8126155740732999, -0.17247672920934431, 1.8126155740732999, -0.16792056340984085, 1.8126155740732999, -0.1627611071169759, 1.8126155740732999, -0.15699993195111617, 1.8126155740732999, -0.15063879282202808, 1.8126155740732999, -0.1436796273943115, 1.8126155740732999, -0.13612455549717062, 1.8126155740732999, -0.12797587847869307, 1.8126155740732999, -0.11923607850483675, 1.8126155740732999, -0.10990781780333791, 1.8126155740732999, -0.099993937852771, 1.8126155740732999, -0.08949745851700719, 1.8126155740732999, -0.07842157712533404, 1.8126155740732999, -0.0667696674985172, 1.8126155740732999, -0.05454527892110361, 1.8126155740732999, -0.041752135060274975, 1.8126155740732999, -0.028394132831580876, 1.8126155740732999, -0.01447534121190186, 1.8126155740732999, 1.8126155740732999, 0.015027481474965798, 1.8126155740732999, 0.030602525696564076, 1.8126155740732999, 0.046720388355445897, 1.8126155740732999, 0.06337615979450817, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.797588092598334, -0.20241190740166592, 1.797588092598334, -0.20210729771444846, 1.797588092598334, -0.20119356143985745, 1.797588092598334, -0.1996709769108136, 1.797588092598334, -0.19754000792131454, 1.797588092598334, -0.19480130358515702, 1.797588092598334, -0.19145569813821273, 1.797588092598334, -0.1875042106843101, 1.797588092598334, -0.18294804488480665, 1.797588092598334, -0.1777885885919417, 1.797588092598334, -0.17202741342608197, 1.797588092598334, -0.16566627429699388, 1.797588092598334, -0.1587071088692773, 1.797588092598334, -0.15115203697213642, 1.797588092598334, -0.14300335995365887, 1.797588092598334, -0.13426355997980255, 1.797588092598334, -0.12493529927830371, 1.797588092598334, -0.1150214193277368, 1.797588092598334, -0.10452493999197299, 1.797588092598334, -0.09344905860029984, 1.797588092598334, -0.081797148973483, 1.797588092598334, -0.06957276039606941, 1.797588092598334, -0.05677961653524077, 1.797588092598334, -0.043421614306546674, 1.797588092598334, -0.029502822686867658, 1.797588092598334, -0.015027481474965798, 1.797588092598334, 1.797588092598334, 0.015575044221598278, 1.797588092598334, 0.0316929068804801, 1.797588092598334, 0.04834867831954237, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.7820130483767358, -0.2179869516232642, 1.7820130483767358, -0.21768234193604674, 1.7820130483767358, -0.21676860566145573, 1.7820130483767358, -0.21524602113241187, 1.7820130483767358, -0.21311505214291282, 1.7820130483767358, -0.2103763478067553, 1.7820130483767358, -0.207030742359811, 1.7820130483767358, -0.2030792549059084, 1.7820130483767358, -0.19852308910640493, 1.7820130483767358, -0.19336363281353997, 1.7820130483767358, -0.18760245764768024, 1.7820130483767358, -0.18124131851859215, 1.7820130483767358, -0.17428215309087558, 1.7820130483767358, -0.1667270811937347, 1.7820130483767358, -0.15857840417525715, 1.7820130483767358, -0.14983860420140083, 1.7820130483767358, -0.140510343499902, 1.7820130483767358, -0.13059646354933507, 1.7820130483767358, -0.12009998421357126, 1.7820130483767358, -0.10902410282189812, 1.7820130483767358, -0.09737219319508128, 1.7820130483767358, -0.08514780461766769, 1.7820130483767358, -0.07235466075683905, 1.7820130483767358, -0.05899665852814495, 1.7820130483767358, -0.045077866908465936, 1.7820130483767358, -0.030602525696564076, 1.7820130483767358, -0.015575044221598278, 1.7820130483767358, 1.7820130483767358, 0.01611786265888182, 1.7820130483767358, 0.03277363409794409, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.765895185717854, -0.23410481428214602, 1.765895185717854, -0.23380020459492856, 1.765895185717854, -0.23288646832033755, 1.765895185717854, -0.2313638837912937, 1.765895185717854, -0.22923291480179464, 1.765895185717854, -0.2264942104656371, 1.765895185717854, -0.22314860501869282, 1.765895185717854, -0.2191971175647902, 1.765895185717854, -0.21464095176528675, 1.765895185717854, -0.20948149547242179, 1.765895185717854, -0.20372032030656206, 1.765895185717854, -0.19735918117747397, 1.765895185717854, -0.1904000157497574, 1.765895185717854, -0.18284494385261651, 1.765895185717854, -0.17469626683413897, 1.765895185717854, -0.16595646686028265, 1.765895185717854, -0.1566282061587838, 1.765895185717854, -0.1467143262082169, 1.765895185717854, -0.13621784687245309, 1.765895185717854, -0.12514196548077994, 1.765895185717854, -0.1134900558539631, 1.765895185717854, -0.10126566727654951, 1.765895185717854, -0.08847252341572087, 1.765895185717854, -0.07511452118702677, 1.765895185717854, -0.061195729567347756, 1.765895185717854, -0.046720388355445897, 1.765895185717854, -0.0316929068804801, 1.765895185717854, -0.01611786265888182, 1.765895185717854, 1.765895185717854, 0.016655771439062272, -2.0, -1.9996953903127825, -1.9987816540381915, -1.9972590695091477, -1.9951281005196486, -1.992389396183491, -1.9890437907365468, -1.9850923032826442, -1.9805361374831407, -1.9753766811902758, -1.969615506024416, -1.963254366895328, -1.9562952014676114, -1.9487401295704705, -1.940591452551993, -1.9318516525781366, -1.9225233918766378, -1.9126095119260709, -1.902113032590307, -1.891037151198634, -1.879385241571817, -1.8671608529944035, -1.8543677091335748, -1.8410097069048807, -1.8270909152852017, -1.8126155740732999, -1.797588092598334, -1.7820130483767358, -1.765895185717854, -1.7492394142787917, 1.7492394142787917, -0.2507605857212083, 1.7492394142787917, -0.25045597603399083, 1.7492394142787917, -0.24954223975939982, 1.7492394142787917, -0.24801965523035596, 1.7492394142787917, -0.2458886862408569, 1.7492394142787917, -0.24314998190469939, 1.7492394142787917, -0.2398043764577551, 1.7492394142787917, -0.23585288900385248, 1.7492394142787917, -0.23129672320434902, 1.7492394142787917, -0.22613726691148406, 1.7492394142787917, -0.22037609174562434, 1.7492394142787917, -0.21401495261653625, 1.7492394142787917, -0.20705578718881967, 1.7492394142787917, -0.1995007152916788, 1.7492394142787917, -0.19135203827320124, 1.7492394142787917, -0.18261223829934492, 1.7492394142787917, -0.17328397759784608, 1.7492394142787917, -0.16337009764727917, 1.7492394142787917, -0.15287361831151536, 1.7492394142787917, -0.1417977369198422, 1.7492394142787917, -0.13014582729302537, 1.7492394142787917, -0.11792143871561178, 1.7492394142787917, -0.10512829485478314, 1.7492394142787917, -0.09177029262608905, 1.7492394142787917, -0.07785150100641003, 1.7492394142787917, -0.06337615979450817, 1.7492394142787917, -0.04834867831954237, 1.7492394142787917, -0.03277363409794409, 1.7492394142787917, -0.016655771439062272, 1.7492394142787917]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x864 with 4 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "imsize=512\n",
        "D=100\n",
        "W=100\n",
        "lambda_=0.2\n",
        "Dl=D/lambda_\n",
        "array1 = np.asarray([[0,i] for i in range(0,500,50)])\n",
        "array2 = np.asarray([[i,0] for i in range(0,500,50)])\n",
        "#array3 = np.asarray([[20,i] for i in range(0,500,50)])\n",
        "#array4 = np.asarray([[30,i] for i in range(0,500,50)])\n",
        "coor = np.concatenate((array1, array2))\n",
        "u,v=caluv(coor)\n",
        "sampling = np.zeros((imsize,imsize), dtype='float')\n",
        "for i in range(0,len(v)):\n",
        "  sampling[imsize//2+u[i],imsize//2+v[i]]=1\n",
        "\n",
        "fig, axes = plt.subplots(figsize=(12,12), nrows=2, ncols=2, facecolor='white')\n",
        "\n",
        "axes[0,0].scatter(coor.transpose()[0],coor.transpose()[1])\n",
        "axes[0,0].set_title('Telescope  UV plane (D/$\\lambda$)')\n",
        "\n",
        "axes[0,1].pcolor(img)\n",
        "axes[0,1].set_title('Real sky image')\n",
        "psf = np.abs( np.fft.fftshift( np.fft.fft2(sampling)))\n",
        "axes[1,0].pcolor(psf)\n",
        "axes[1,0].set_title('Telescope resolution ($\\lambda$/D)')\n",
        "\n",
        "obsSky = np.abs(np.fft.ifft2(np.fft.fftshift(sampling * fftImg0)))\n",
        "axes[1,1].pcolor(obsSky)\n",
        "axes[1,1].set_title('Observed sky image')\n",
        "for ax in axes.flat:\n",
        "  if ax is not axes[0,0]:\n",
        "    ax.set_xlim(imsize/2-100,imsize/2+100)\n",
        "    ax.set_ylim(imsize/2-100,imsize/2+100)\n",
        "    ax.axis('off')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 986
        },
        "id": "jJNgOm6RND22",
        "outputId": "3b82236f-e3a8-4c92-9b5b-576c29ea8908"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -10, -20, -30, -40, -50, -60, -70, -80, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 10, -10, -20, -30, -40, -50, -60, -70, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 20, 10, -10, -20, -30, -40, -50, -60, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 30, 20, 10, -10, -20, -30, -40, -50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 40, 30, 20, 10, -10, -20, -30, -40, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 50, 40, 30, 20, 10, -10, -20, -30, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 60, 50, 40, 30, 20, 10, -10, -20, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 70, 60, 50, 40, 30, 20, 10, -10, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 80, 70, 60, 50, 40, 30, 20, 10] [-10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, -10, -20, -30, -40, -50, -60, -70, -80, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 20, 10, -10, -20, -30, -40, -50, -60, -70, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 30, 20, 10, -10, -20, -30, -40, -50, -60, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 40, 30, 20, 10, -10, -20, -30, -40, -50, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 50, 40, 30, 20, 10, -10, -20, -30, -40, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 60, 50, 40, 30, 20, 10, -10, -20, -30, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 70, 60, 50, 40, 30, 20, 10, -10, -20, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 80, 70, 60, 50, 40, 30, 20, 10, -10, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 90, 80, 70, 60, 50, 40, 30, 20, 10, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -20, -30, -40, -50, -60, -70, -80, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAD4CAYAAAAJmJb0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAacElEQVR4nO3df6xc9X3m8fez1xgsFwQ0FxeIWYNjiJLAmsTCRYQsu+BgoAo/WmWxaJQ0FQ5S0DbLiiaO0RKiWHZDYLtSV4nMFinaOE5SBQwFAjHaEu0icGMDskli1jY4gOPaN/FSCHUMvnz2j3vuZTyemXOP55w733P8vCTLd75z55kPc2c+vsz3xygiMDOzZvpXgy7AzMyq4yZvZtZgbvJmZg3mJm9m1mBu8mZmDTZt0AW0es973hNz5swZdBlmZrWyadOmX0fEcKfrkmryc+bMYePGjYMuw8ysViT9stt1frvGzKzB3OTNzBrMTd7MrMHc5M3MGsxN3syswZJaXXOk1j27izsfe4Ffvbaf006cwa2Xn8M1558+Zbd3RrMzblu3hbUbXmE0giGJJQtn87Vrzi2UYTYotW/y657dxbL7trD/7VEAdr22n2X3bQGY1Iu539s7o9kZt63bwneefnni8mjExGU3equD2r9dc+djL0y8iMftf3uUOx97YUpu74xmZ6zd8EqhcbPU1L7J/+q1/YXGy769M5qdMdrl8xa6jZulpvZN/rQTZxQaL/v2zmh2xpBUaNwsNbVv8rdefg4zjhk6ZGzGMUPcevk5U3J7ZzQ7Y8nC2YXGzVJT+4nX8Qm0I11B0e/tndHsjPHJVa+usbpSSp/xumDBgvABZWZmxUjaFBELOl1X+7drzMysOzd5M7MGc5M3M2uw2k+8go81cEa1GTfc8xRP7tg3cfmiuSez5sYLC2WYDUrtJ17bt67D2DK5ldede0THGhS9vTOandHe4Me50VtKGj3x6mMNnFFlRqcG32vcLDW1b/I+1sAZVWaY1V3tm7yPNXBGlRlmdVf7Ju9jDZxRZcZFc08uNG6Wmr5X10g6B/h+y9BZwH8BTgRuBEay8S9HxCP93l87H2vgjCoz1tx4oVfXWK2VurpG0hCwC1gI/Bnw24j4xmRv72MNzMyKm8rVNZcCOyLilyXnmpnZESi7yV8PrG25fLOkzZLulXRSpxtIWippo6SNIyMjnb7FzMyOUGlNXtJ04BPA32VD3wTmAvOB3cBdnW4XEasjYkFELBgeHi6rHDMzo9xjDa4AnomIPQDjfwNIugd4qMT7OoSPNXBGlRmL7n6CbXvfnLg875SZrL/lkkIZZoNSZpNfQstbNZJOjYjd2cVrgedLvK8J7VvXd722n2X3bQGY1Iu539s7o9kZ7Q0eYNveN1l09xNu9FYLpbxdI2kmsAi4r2X465K2SNoM/DvgP5VxX+18rIEzqsxob/B542apKeU3+Yh4E/j9trFPlZGdx8caOKPKDLO6q/2OVx9r4IwqM8zqrvZN3scaOKPKjHmnzCw0bpaa2n9oiI81cEaVGetvucSra6zWav+hIWZmR7tGf2iImZl15yZvZtZgbvJmZg1W+4lX8LEGzqg2Y+GK9ex5462Jy7OOn86G5YsKZZgNSu0nXtu3rsPYMrmV1517RMcaFL29M5qd0d7gx7nRW0oaPfHqYw2cUWVGpwbfa9wsNbVv8j7WwBlVZpjVXe2bvI81cEaVGWZ1V/sm72MNnFFlxqzjpxcaN0tN7VfX+FgDZ1SZsWH5Iq+usVqr/eoaM7OjXaNX15iZWXdu8mZmDeYmb2bWYKVNvEraCbwBjAIHI2KBpJOB7wNzgJ3AJyPi/5V1n+N8rIEzqsw47/ZHef3Au5uqTjh2iM13LC6UYTYopU28Zk1+QUT8umXs68C+iFgl6UvASRHxxW4ZPtbAGalltDf4cW70lpJBTrxeDXw7+/rbwDVl34GPNXBGlRmdGnyvcbPUlNnkA/ixpE2SlmZjsyJid/b1PwGz2m8kaamkjZI2joyMFL5TH2vgjCozzOquzCb/0Yj4MHAF8HlJH2u9MsbeFzrsvaGIWB0RCyJiwfDwcOE79bEGzqgyw6zuSmvyEbEr+3svcD9wAbBH0qkA2d97y7q/cT7WwBlVZpxw7FChcbPUlNLkJc2UdPz418DHgeeBB4FPZ9/2aeCBMu6v1TXnn87K687l9BNnIOD0E2cUmljr9/bOaHbG5jsWH9bQPelqdVLK6hpJZzH22zuMLcv8bkSskPT7wA+AM4BfMraEcl+3HB9rYGZWXK/VNaWsk4+IF4F/02H8N8ClZdyHmZkV5x2vZmYN5iZvZtZgtT9PHnysgTOqzXj/8kf43ei7c1fHDYmtK64slGE2KLU/T97HGjijyoz2Bj/Ojd5S0ujz5H2sgTOqzOjU4HuNm6Wm9k3exxo4o8oMs7qrfZP3sQbOqDLDrO5q3+R9rIEzqsw4bkiFxs1SU/vVNeMTaEe6gqLf2zuj2RlbV1zp1TVWa7VfXWNmdrRr9OoaMzPrzk3ezKzB3OTNzBqs9hOv4GMNnFFtxvuWPczBlqmraYLtK68qlGE2KLWfePWxBs6oMqO9wY9zo7eUNHri1ccaOKPKjE4Nvte4WWpq3+R9rIEzqswwq7vaN3kfa+CMKjPM6q7vJi9ptqR/kPRzST+T9BfZ+Fck7ZL0XPanki2CPtbAGVVmTOtyekG3cbPUlLG65iDwnyPiGUnHA5skrc+u+68R8Y0S7qMrH2vgjCoztq+8yqtrrNZKX10j6QHgb4CLgN8WafI+1sDMrLgpW10jaQ5wPrAhG7pZ0mZJ90o6qcz7MjOzfKU1eUm/B/wQ+EJEvA58E5gLzAd2A3d1ud1SSRslbRwZGSmrHDMzo6QmL+kYxhr8moi4DyAi9kTEaES8A9wDXNDpthGxOiIWRMSC4eHhMsoxM7NM3xOvkgT8LfCLiLi7ZfzUiNidXbwWeL7f++rGxxo4o8qMM7/0MK0zVwJeWuWJV6uHvideJX0U+N/AFuCdbPjLwBLG3qoJYCfwuZam35GPNXBGahntDX6cG72lpNKJ14j4PxGhiDgvIuZnfx6JiE9FxLnZ+CfyGvyR8rEGzqgyo9uvQD7VwOqi9jtefayBM6rMMKu72jd5H2vgjCozzOqu9k3exxo4o8qMbqcX+FQDq4vaf2iIjzVwRpUZL626yqtrrNZq/6EhZmZHu0Z/aIiZmXXnJm9m1mBu8mZmDVb7iVfwsQbOqDZjzpcePmxspyderSZqP/HqYw2cUWVGpwY/zo3eUtHoiVcfa+CMKjPM6q72Td7HGjijygyzuqt9k/exBs6oMsOs7mrf5H2sgTOqzDCru9qvrvGxBs6oMmPnqqu8usZqrfara8zMjnaNXl1jZmbducmbmTWYm7yZWYNVPvEqaTHw34Ah4H9ExKqy7+O2dVtYu+EVRiMYkliycDZfu+bcSd/+hnue4skd+yYuXzT3ZNbceGGhGhbd/QTb9r45cXneKTNZf8slhTIWrljPnjfemrg86/jpbFi+qFDGebc/yusH3t0AdMKxQ2y+Y3GhjPcvf4Tfjb47V3PckNi64spCGe9b9jAHW6Z7pgm2ryw2WVnGOe6pTJqWUUe/j0cZP5MynhtlPEfLeK2U8Zoto3f027/yVPqbvKQh4L8DVwAfAJZI+kCZ93Hbui185+mXGc0mkEcj+M7TL3Pbui2Tun37DwngyR37uOGepyZdQ/uTBWDb3jdZdPcTk85of9IC7HnjLRauWD/pjPYXD8DrB0Y57/ZHJ53R/iIG+N1o8P7lj0w6o72ZAByMsfHJam9oMPbh2Wf2OGagXbcjCXodVVCFMuro9/Eo42dSxnOjjOdoGa+VMl6zZfSOfvvXZFT9ds0FwPaIeDEi3gK+B1xd5h2s3fBKofF27T+kvPFO2p8seeOdtD9p88Y7aX/x5I130v4izhvvpL2Z5I130u1b01kLNrX6fTzK+JmU8dwo4zlaxmuljNdsGb2j3/41GVU3+dOB1mpfzcYmSFoqaaOkjSMjI4XvYLTLEtBu42ZmqZiK/jXwideIWB0RCyJiwfDwcOHbD6nzRyp3GzczS8VU9K+qm/wuYHbL5fdmY6VZsnB2ofF2F809udB4J/NOmVlovJNZx08vNN7JCccOFRrv5Lihzk+ubuOdTOvyrd3GO+n2rUfrP939Ph5l/EzKeG6U8Rwt47VSxmu2jN7Rb/+ajKqb/E+BeZLOlDQduB54sMw7+No15/Knf3jGxL98QxJ/+odnTHp2es2NFx72Qyk6Q77+lksOe3IUnanfsHzRYU/SoisGNt+x+LAXS9GVC1tXXHnYi7boCortK686rHkUXcnx0qqrDmtgRVeTdFu9MtWra8qoo9/Ho4yfSRnPjTKeo2W8Vsp4zZbRO/rtX5NR+bEGkq4E/pqxJZT3RsSKbt/rYw3MzIrrdaxB5evkI+IRYPJrrMzMrDQDn3g1M7PquMmbmTVY7c+TN6taGUcSrHt2V1/n2peRkUINzqgmoxefJ2/WQ6+jBybb6Nc9u4tl92055EPFZxwzxMrrzp30i7nfjBRqcEY1GeDz5M0G6s7HXjjkRQyw/+1R7nzshSnLSKEGZ1STkcdN3qxiv3ptf6HxKjJSqMEZ1WTkcZM3q9hpJ84oNF5FRgo1OKOajDxu8mYVu/Xyc5hxzKG7PGccM8Stl58zZRkp1OCMajLyeHWNWQ87V13V9+qa8Qm0flZQ9JuRQg3OqCYjj1fXmJnVnFfXmJkdpdzkzcwazE3ezKzBPPFqlqP9Q7SLnmsPaWx/T6EGZ1ST0YsnXs16aG/w44o0+hS2v6dQgzOqyQBPvJodsW6/AhX51SiF7e8p1OCMajLyuMmbVSyF7e8p1OCMajLyuMmbVSyF7e8p1OCMajLy9NXkJd0paaukzZLul3RiNj5H0n5Jz2V/vlVOuWZTq/3Ds/PGO0lh+3sKNTijmow8/a6uWQ8si4iDkv4KWAZ8MbtuR0TM7zPfbKBeWnVV36trUtj+nkINzqgmI09pq2skXQv8SUTcIGkO8FBEfKhIhlfXmJkVN1Wraz4L/Kjl8pmSnpX0E0kXl3g/ZmY2Sblv10h6HPiDDlctj4gHsu9ZDhwE1mTX7QbOiIjfSPoIsE7SByPi9Q75S4GlAGecccaR/VeYmVlHuU0+Ii7rdb2kzwB/BFwa2Xs/EXEAOJB9vUnSDuBs4LD3YiJiNbAaxt6uKVi/mZn10NfEq6TFwF8C/zYi/qVlfBjYFxGjks4C5gEv9lWp2YC8b9nDHGz59WOaYPtKH2vgjHQyeulr4lXSduBY4DfZ0NMRcZOkPwa+CrwNvAPcHhF/n5fniVdLTXuDH1ek0aew/T2FGpxRTQZUOPEaEe+LiNkRMT/7c1M2/sOI+GA29uHJNHizFHVq8L3GO0lh+3sKNTijmow83vFqVrEUtr+nUIMzqsnI4yZvVrEUtr+nUIMzqsnI4yZv1sO0LucXdBvvJIXt7ynU4IxqMvL4Q0PMeti+8qq+V9eksP09hRqcUU1GHn9oiJlZzflDQ8zMjlJu8mZmDeYmb2bWYJ54Ncvx/uWP8LvRd+eujhsSW1dcWSgjhe3vKdTgjGoyevHEq1kP7Q1+XJFGn8L29xRqcEY1GeCJV7Mj1qnB9xrvJIXt7ynU4IxqMvK4yZtVLIXt7ynU4IxqMvK4yZtVLIXt7ynU4IxqMvK4yZv1cNxQ5/MLuo13ksL29xRqcEY1GXm8usash60rrux7dU0K299TqMEZ1WTk8eoaM7Oa8+oaM7OjlJu8mVmDucmbmTVYXxOvkr4C3AiMZENfjohHsuuWAX8OjAL/MSIe6+e+zAblvNsf5fUD725YOeHYITbfsbhQRgrb31OowRnVZPTS18Rr1uR/GxHfaBv/ALAWuAA4DXgcODsiRg8LaeGJV0tNe4MfV6TRp7D9PYUanFFNBgxm4vVq4HsRcSAiXgK2M9bwzWqlU4PvNd5JCtvfU6jBGdVk5Cmjyd8sabOkeyWdlI2dDrzS8j2vZmOHkbRU0kZJG0dGRjp9i1mtpbD9PYUanFFNRp7cJi/pcUnPd/hzNfBNYC4wH9gN3FW0gIhYHRELImLB8PBw4f8As9SlsP09hRqcUU1GntwmHxGXRcSHOvx5ICL2RMRoRLwD3MO7b8nsAma3xLw3GzOrlROOHSo03kkK299TqMEZ1WTk6Xd1zakRsTu7eC3wfPb1g8B3Jd3N2MTrPOAf+7kvs0HYfMfivlfXpLD9PYUanFFNRp5+V9f8T8beqglgJ/C58aYvaTnwWeAg8IWI+FFenlfXmJkV12t1TV+/yUfEp3pctwJY0U++mZn1xztezcwazE3ezKzBfJ68WY6FK9az5423Ji7POn46G5YvKpSRwvb3FGpwRjUZvfg8ebMe2hv8uCKNPoXt7ynU4IxqMsDnyZsdsU4Nvtd4Jylsf0+hBmdUk5HHTd6sYilsf0+hBmdUk5HHTd6sYilsf0+hBmdUk5HHTd6sh1nHTy803kkK299TqMEZ1WTk8eoasx42LF/U9+qaFLa/p1CDM6rJyOPVNWZmNefVNWZmRyk3eTOzBnOTNzNrME+8muVYdPcTbNv75sTleafMZP0tlxTKSGH7ewo1OKOajF488WrWQ3uDH1ek0aew/T2FGpxRTQZ44tXsiHVq8L3GO0lh+3sKNTijmow8bvJmFUth+3sKNTijmow8bvJmFUth+3sKNTijmow8fTV5Sd+X9Fz2Z6ek57LxOZL2t1z3rXLKNZta806ZWWi8kxS2v6dQgzOqycjT72e8/ofxryXdBfxzy9U7ImJ+P/lmg7b+lkv6Xl2Twvb3FGpwRjUZeUpZXSNJwMvAv4+IbZLmAA9FxIeK5Hh1jZlZcVOxuuZiYE9EbGsZO1PSs5J+IuniHsUtlbRR0saRkZGSyjEzM5jE2zWSHgf+oMNVyyPigezrJcDalut2A2dExG8kfQRYJ+mDEfF6e0hErAZWw9hv8kX/A8zMrLvcJh8Rl/W6XtI04DrgIy23OQAcyL7eJGkHcDbg92LMzKZQGccaXAZsjYhXxwckDQP7ImJU0lnAPODFEu7LbMrdcM9TPLlj38Tli+aezJobLyyUkcL29xRqcEY1Gb2U0eSv59C3agA+BnxV0tvAO8BNEbHvsFuaJa69wQM8uWMfN9zz1KQbffvW9V2v7WfZfVsAjnj7e9GMFGpwRjUZefqeeI2Iz0TEt9rGfhgRH4yI+RHx4Yj4+37vx2wQ2ht83ngnKWx/T6EGZ1STkcc7Xs0qlsL29xRqcEY1GXnc5M0qlsL29xRqcEY1GXnc5M16uGjuyYXGO0lh+3sKNTijmow8/tAQsx7W3Hhh36trUtj+nkINzqgmI48/NMTMrOb8oSFmZkcpN3kzswZzkzczazBPvJrluG3dFtZueIXRCIYkliyczdeuObdQRgrb31OowRnVZPTiJm/Ww23rtvCdp1+euDwaMXF5so0+he3vKdTgjGoy8vjtGrMe1m54pdB4Jylsf0+hBmdUk5HHTd6sh9EuS4y7jXeSwvb3FGpwRjUZedzkzXoYkgqNd5LC9vcUanBGNRl53OTNeliycHah8U5S2P6eQg3OqCYjjydezXoYn1ztZ3VNCtvfU6jBGdVk5PGxBmZmNedjDczMjlJu8mZmDeYmb2bWYG7yZmYN5iZvZtZgSa2ukTQC/HLQdeR4D/DrQRcxCa6zfHWp1XWWL/Va/3VEDHe6IqkmXweSNnZbqpQS11m+utTqOstXp1rb+e0aM7MGc5M3M2swN/niVg+6gElyneWrS62us3x1qvUQfk/ezKzB/Ju8mVmDucmbmTWYm/wkSPq+pOeyPzslPZeNz5G0v+W6byVQ61ck7Wqp6cqW65ZJ2i7pBUmXD7jOOyVtlbRZ0v2STszGU3xMF2eP2XZJXxp0PeMkzZb0D5J+Lulnkv4iG+/6HBik7LWzJatpYzZ2sqT1krZlf5804BrPaXncnpP0uqQvpPqYTobfky9I0l3AP0fEVyXNAR6KiA8Ntqp3SfoK8NuI+Ebb+AeAtcAFwGnA48DZETF6WMgUkPRx4H9FxEFJfwUQEV9M7TGVNAT8X2AR8CrwU2BJRPx8oIUBkk4FTo2IZyQdD2wCrgE+SYfnwKBJ2gksiIhft4x9HdgXEauyf0BPiogvDqrGVtnPfhewEPgzEnxMJ8O/yRcgSYy9gNYOupYjcDXwvYg4EBEvAdsZa/gDERE/joiD2cWngfcOqpYcFwDbI+LFiHgL+B5jj+XARcTuiHgm+/oN4BdAeZ82MTWuBr6dff1txv6RSsWlwI6ISH0Xfk9u8sVcDOyJiG0tY2dKelbSTyRdPKjC2tycvQ1yb8v//p4OvNLyPa+STkP4LPCjlsspPaYpP24Tsv8DOh/YkA11eg4MWgA/lrRJ0tJsbFZE7M6+/idg1mBK6+h6Dv2FLsXHNJebfEbS45Ke7/Cn9be2JRz6Q98NnBER5wO3AN+VdMKAa/0mMBeYn9V3V9X1HGGd49+zHDgIrMmGBvKY1pmk3wN+CHwhIl4noedAm49GxIeBK4DPS/pY65Ux9t5xEu8fS5oOfAL4u2wo1cc0lz/jNRMRl/W6XtI04DrgIy23OQAcyL7eJGkHcDZQ6WcY5tU6TtI9wEPZxV1A66dPvzcbq8wkHtPPAH8EXJq9wAf2mPYw5Y9bEZKOYazBr4mI+wAiYk/L9a3PgYGKiF3Z33sl3c/YW2F7JJ0aEbuzOYa9Ay3yXVcAz4w/lqk+ppPh3+Qn7zJga0S8Oj4gaTibnEHSWcA84MUB1Tde06ktF68Fns++fhC4XtKxks5krNZ/nOr6xklaDPwl8ImI+JeW8dQe058C8ySdmf12dz1jj+XAZXNEfwv8IiLubhnv9hwYGEkzs8lhJM0EPs5YXQ8Cn86+7dPAA4Op8DCH/F97io/pZPk3+clrf38O4GPAVyW9DbwD3BQR+6a8skN9XdJ8xv63dyfwOYCI+JmkHwA/Z+ztkc8PamVN5m+AY4H1Y72KpyPiJhJ7TLPVPzcDjwFDwL0R8bNB1dPmIuBTwBZly3qBLwNLOj0HBmwWcH/2s54GfDciHpX0U+AHkv6csWPGPznAGoGJf4QWcejj1vF1VQdeQmlm1mB+u8bMrMHc5M3MGsxN3syswdzkzcwazE3ezKzB3OTNzBrMTd7MrMH+P9j9EQ77FyULAAAAAElFTkSuQmCC\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x864 with 4 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "imsize=512\n",
        "D=100\n",
        "W=100\n",
        "lambda_=0.2\n",
        "Dl=D/lambda_\n",
        "array1 = np.asarray([[0,i] for i in range(0,500,50)])\n",
        "array2 = np.asarray([[i,0] for i in range(0,500,50)])\n",
        "coor = np.concatenate((array1, array2))\n",
        "u,v=caluv(coor)\n",
        "sampling = np.zeros((imsize,imsize), dtype='float')\n",
        "for i in range(0,len(v)):\n",
        "  sampling[imsize//2+u[i],imsize//2+v[i]]=1\n",
        "\n",
        "fig, axes = plt.subplots(figsize=(12,12), nrows=2, ncols=2, facecolor='white')\n",
        "\n",
        "axes[0,0].scatter(coor.transpose()[0],coor.transpose()[1])\n",
        "axes[0,0].set_title('Telescope  UV plane (D/$\\lambda$)')\n",
        "\n",
        "axes[0,1].pcolor(img)\n",
        "axes[0,1].set_title('Real sky image')\n",
        "psf = np.abs( np.fft.fftshift( np.fft.fft2(sampling)))\n",
        "axes[1,0].pcolor(psf)\n",
        "axes[1,0].set_title('Telescope resolution ($\\lambda$/D)')\n",
        "\n",
        "obsSky = np.abs(np.fft.ifft2(np.fft.fftshift(sampling * fftImg0)))\n",
        "axes[1,1].pcolor(obsSky)\n",
        "axes[1,1].set_title('Observed sky image')\n",
        "for ax in axes.flat:\n",
        "  if ax is not axes[0,0]:\n",
        "    ax.set_xlim(imsize/2-100,imsize/2+100)\n",
        "    ax.set_ylim(imsize/2-100,imsize/2+100)\n",
        "    ax.axis('off')\n",
        "plt.show()"
      ],
      "metadata": {
        "id": "bxZy4DDaWRgz"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "imsize=512\n",
        "D=100\n",
        "lambda_=0.2\n",
        "Dl=D/lambda_\n",
        "coor = np.asarray([[i,0] for i in range(0,50,1)])\n",
        "u,v=caluv(coor)\n",
        "sampling = np.zeros((imsize,imsize), dtype='float')\n",
        "for i in range(0,len(v)):\n",
        "  sampling[imsize//2+u[i],imsize//2+v[i]]=1\n",
        "\n",
        "fig, axes = plt.subplots(figsize=(12,12), nrows=2, ncols=2, facecolor='white')\n",
        "\n",
        "axes[0,0].scatter(u,v)\n",
        "axes[0,0].set_title('Telescope  UV plane (D/$\\lambda$)')\n",
        "\n",
        "axes[0,1].pcolor(img)\n",
        "axes[0,1].set_title('Real sky image')\n",
        "psf = np.abs( np.fft.fftshift( np.fft.fft2(sampling)))\n",
        "axes[1,0].pcolor(psf)\n",
        "axes[1,0].set_title('Telescope resolution ($\\lambda$/D)')\n",
        "\n",
        "obsSky = np.abs(np.fft.ifft2(np.fft.fftshift(sampling * fftImg0)))\n",
        "axes[1,1].pcolor(obsSky)\n",
        "axes[1,1].set_title('Observed sky image')\n",
        "for ax in axes.flat:\n",
        "  if ax is not axes[0,0]:\n",
        "    ax.set_xlim(imsize/2-50,imsize/2+50)\n",
        "    ax.set_ylim(imsize/2-50,imsize/2+50)\n",
        "  ax.axis('off')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 986
        },
        "id": "ICmxzExAO2sE",
        "outputId": "f6de95f3-e2a6-45ef-8c53-91308c1adcd8"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, -9, -9, -9, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, -9, -9, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, -9, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -5, -5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -4, -4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -3, -3, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -2, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0] [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x864 with 4 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "image = circularSamplingMap(imsize,50, imsize/2,imsize/2,40)\n",
        "fftImg=np.fft.fftshift(np.fft.fft2(image))\n",
        "\n",
        "plt.imshow(image)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "-F8DLJbgoQPx",
        "outputId": "be64f82d-acc7-4dd6-9c0e-65d88239f8fe"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f78523f3df0>"
            ]
          },
          "metadata": {},
          "execution_count": 623
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQYAAAD8CAYAAACVSwr3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAVFUlEQVR4nO3dfZBU1ZnH8e8zM8wLoMAAQQIouKAuCpEXURd1o2gCaEWyGkNelFhsMNEQE7QSyFYlZnerVnYTg2R9CQlRSIxoVIQYo4uAMUYREBDwBRkVZVAYVF4ikGHoefaPPmA3B5gepnu6h/l9qqbm3nPP7fuM0/449/S9d8zdERFJVZTvAkSk8CgYRCSiYBCRiIJBRCIKBhGJKBhEJJKTYDCzkWa2zsyqzGxyLo4hIrlj2b6OwcyKgdeBS4BqYBnwJXd/JasHEpGcycWIYRhQ5e5vuvteYA5weQ6OIyI5UpKD1+wBbExZrwbOPtIOpVbm5bTLQSkist/f2Pa+u3fNpG8ugiEjZjYBmABQTlvOthH5KkWkVXjKH3o70765OJXYBPRKWe8Z2tK4+wx3H+ruQ9tQloMyRORo5SIYlgH9zKyPmZUCY4H5OTiOiORI1k8l3H2fmX0LeBIoBn7t7i9n+zgikjs5mWNw98eBx3Px2iKSe7ryUUQiCgYRiSgYRCSiYBCRiIJBRCIKBhGJKBhEJKJgEJGIgkFEIgoGEYkoGEQkomAQkYiCQUQiCgYRiSgYRCSiYBCRiIJBRCIKBhGJKBhEJKJgEJGIgkFEIgoGEYkoGEQkomAQkYiCQUQiCgYRiSgYRCSiYBCRiIJBRCIKBhGJKBhEJKJgEJGIgkFEIgoGEYk0GAxm9mszqzGztSltlWa2wMzWh++dQruZ2XQzqzKz1WY2OJfFi0huZDJiuBcYeVDbZGChu/cDFoZ1gFFAv/A1AbgrO2WKSHNqMBjc/Rngw4OaLwdmheVZwJiU9tmetAToaGbds1WsiDSPo51j6Obu74XlzUC3sNwD2JjSrzq0RcxsgpktN7PlddQeZRkikgtNnnx0dwf8KPab4e5D3X1oG8qaWoaIZNHRBsOW/acI4XtNaN8E9Erp1zO0iUgLcrTBMB8YF5bHAfNS2q8Jn06cA+xIOeUQkRaipKEOZnY/8Gmgi5lVAz8CbgUeNLPxwNvAVaH748BooArYDVybg5pFJMcaDAZ3/9JhNo04RF8HbmhqUSKSX7ryUUQiCgYRiSgYRCSiYBCRiIJBRCIKBhGJKBhEJKJgEJGIgkFEIgoGEYkoGEQkomAQkYiCQUQiCgYRiSgYRCSiYBCRiIJBRCIKBhGJKBhEJKJgEJGIgkFEIgoGEYkoGEQkomAQkYiCQUQiCgYRiSgYRCSiYBCRiIJBRCIKBhGJKBhEJKJgEJGIgkFEIg0Gg5n1MrPFZvaKmb1sZjeG9kozW2Bm68P3TqHdzGy6mVWZ2WozG5zrH0JEsiuTEcM+4CZ37w+cA9xgZv2BycBCd+8HLAzrAKOAfuFrAnBX1qsWkZxqMBjc/T13XxGW/wa8CvQALgdmhW6zgDFh+XJgtictATqaWfesVy4iOdOoOQYz6w0MAl4Aurn7e2HTZqBbWO4BbEzZrTq0iUgLkXEwmFl74GHgO+6+M3WbuzvgjTmwmU0ws+VmtryO2sbsKiI5VpJJJzNrQzIU7nP3R0LzFjPr7u7vhVOFmtC+CeiVsnvP0JbG3WcAMwCOt8pGhYo0Pysrw8ySy+Vl0K0r/nb1ge31tbXg+jUeKxoMBku+G2YCr7r7bSmb5gPjgFvD93kp7d8ysznA2cCOlFMOaSGsrIyik3ryzr90Y18FXDR6Bae3S+Z7u6JaPlnyHOv3nnCg/0+eGUX55hJOWFJHxfI3Sbz/Qb5KlywwbyDlzew84C/AGqA+NP+A5DzDg8CJwNvAVe7+YQiS/wVGAruBa919+ZGOcbxV+tk2oik/h2RLUTF7LxnERxN3cu8ZszitTRnFlvlUVPW+j5i9fQj3/2YEvWZXkdhS0/BO0iye8odedPehmfRtMBiag4Ih/6xNKbUXDWTXt3cwb8A9dC9p36TXS3g9t2/ryz2zRtLr3vUktm7NUqVytBQM0iglvU+kampHnjjnTvq0aVogHCzh9fzkw1N5fMqFVCx4Ca/VRHO+NCYYMpp8lGNX3cVDuOaORxnbfivFFofCtsRu7tg2mAfeGAzPdTzka9RWOleNepYLj3uFERWJtG3FVsT3O6/nK3eu5J8fuZl+31+pcGgBNGJoxWpHncWk6ffxuXa709oTXs+CPRXc8IdrOemPdZT+eQ2+r+7InzoUFVN86snUDO/CkAmr+OknF9O+qDyty+76vZwxdyKn3LxK4ZAHOpWQBh0uFF6v28WouTdx6l3vk1hXdVSvXdyxAzVX9Oe865cxrXv6vLPCIX8aEwy6u7IVqvvM0EOGwuydXRj7XzfT97svHHUoACS276DzzOd5feyJjHztUnbU7zmwrW1RKWs//3PWTx2ElZUd9TEktxQMrUxJ7xMZ//O5USiMf+c85lx2Pl3vfj5rFyol1r8Jn93KsHsnsS3x8fHaFpWy5srpvPutIVk5jmSfgqEVsTalVE3tyNj26R8dXvvO+bx39SdIVL2V9WN63V763LKMc2bdFI0c/v0bs2HYgKwfU5pOwdCK1F40kCfOuTPtgqXZO7uw5atdkv+654jv20efW5Zx5vwb09rHtPuIqon6YKwQKRhai6Jidn17R9p1Cq/X7WLatC/kZKRwMN+3j3+8bStf3zg8rX3++Xdq1FCAFAytxN5LBjFvwD0H1hNez8hHb6LrL5Y0Ww2Jqrd4Z+LJrN779wNtp5dWJEcNRcXNVoc0TMHQClhZGR9N3Jl2mfOCPRWcduf7zX9H5LK1jHnm+rSm5Kjh9OatQ45IwdAKFJ3Uk3vPmJXWdsMfrm3SR5JHzZ1Tfl7HqpRrGE4vrWDDZe2avxY5LAVDK/D2Fd04rc3H1wxsS+zmpD/W5a0ef/EVbt9ycVrbFZf+FWtTmqeK5GAKhlYgUeFpn0TcsW0wpX9ek7+C6hMsnZc+4dijbBtWrLdjodBv4hhnZWVcPGpFWtucqiHJex/yqNP6BDWJXQfWv3zcOnZfPDCPFUkqBcMxzsw4o111ettzHfL+GLYOz27gtbqP5xU6Fbdl73F6OxYK/SZEJKJgOMZZeRnlRfk9bcjUvgrLdwkSKBiOdd260qtNy3gw664eCoZCoWA4xvnb1ayvPaHhjgWgQ1V9w52kWSgYRCSiYGiFagvg7/vUd+nE8aYnOBUqBcMxrr62lql/GZ3WdtXoZ/N+01L16ErOTHmC06O72lP5XPQHyyRPFAzHOnfKNrdJa7qg/WsUn3pyngoCzNjzqT1pTRv3diaxWX+cplAoGFqBE5bUUb3vowPrn2lbR83wLnmrp7hLF6YM/lNa27QVF+F1+/JUkRxMwdAKtF2+gdnb05+vOGTCKoo7dshLPRvH9WN8h80H1nfU76FyUTnUJ46wlzQnBUMrkNi6lft/M4KEf/xx4E8/uZiaK/o3ey0lJ3Tjq+MWpLXdvOliuj78crPXIoenYGgles2u4vZtfQ+sty8q57zrl1Hcr/nmGqykhPU3nsx3Kl850FbrdaycMZDEzp3NVoc0TMHQSiS21HDPrJFpo4Zp3ZdT/4vaZnsOwvtfO4tlV99GmX08Gfrdd8/nE7/XaKHQKBhakV73rucnH56a1vbAKQ/x1g+HYCW5fVqzDz+Tb940lw5FFQfadtfvZendgzRaKEAKhlYksXUrj0+5MO0Tig5FFSz52k9565azchYOPvxMvvirJ9ImHAEGPH0dXX674jB7ST4pGFqZigUvccHcm9ldv/dAW6fitiz92m2smz6Y4r59snYsKynhg38995Ch8IMtAznl1j36+5UFSsHQynhtLad8byVnzJ2YFg4diip4a8wMetxXk/w7D9a0Ox1LTujGm/9xFgtvuS0KhR9v7c/Kcf2pX/tak44huaNgaIW8tpZTbl4VhQPAL3v9lf958JesnzUIO2tA4y6dNqO4a1fevfmfuGDBm6y5ZnranAIkQ2HJ1QOpX61QKGTmDTziy8zKgWeAMqAEeMjdf2RmfYA5QGfgReBqd99rZmXAbGAI8AHwRXffcKRjHG+VfraNaOrPIo1kZWWsnzqINVdOp21R/MnEqtpabt9yMUvnDaDT+gQdnt1wyNep79KJ6tGV7PnUHqYM/lM0QtjvB1sGJkcKCoW8eMofetHdh2bSN5NgMKCdu39kZm2AZ4EbgUnAI+4+x8zuBl5y97vM7HpgoLt/w8zGAp939y8e6RgKhvyxsjI2TRzCf1w3mzHtPjpsv5rErrRnNKY63mrTbog62O76vQx4+jpOuXWPTh/yKKvBkNbZrC3JYPgm8EfgBHffZ2bnAre4+2fN7Mmw/LyZlQCbga5+hAMpGArAsAFUTSxh/vl3cnppRcP9M1DrdXz33fNZevcguvx2hSYa86wxwZDRHIOZFZvZKqAGWAC8AWx39/13vVQDPcJyD2AjQNi+g+TpxsGvOcHMlpvZ8jr0hsm7pWvoe/VKJl01gX9YdC0v793T8D6HsaN+D1/fOJzhP/w2G0aU0nnm8wqFFiajD67dPQGcaWYdgbnAaU09sLvPAGZAcsTQ1NeTLFm6hr7XFDNp2HVsuKwdV1z6V3qUbePLx62jU3Hbw+726K72bNzbmWkrLqJyUTldH36ZzjufR7dFtUyNuqLF3beb2WLgXKCjmZWEUUFPYP9TNjYBvYDqcCrRgeQkpLQU9QlYspreS2DFj8tZWdyDBy8edeDvPuyrMHb1sLRnNFY+t4nE5hr61q2G+oQCoYVrMBjMrCtQF0KhArgEmAosBq4k+cnEOGBe2GV+WH8+bF90pPkFKWxetxevg/LHllKe0l55UD89SeHYksmIoTswy8yKSc5JPOjuj5nZK8AcM/tPYCUwM/SfCfzGzKqAD4GxOahbRHKowWBw99XAoEO0vwkMO0T734EvZKU6EckLXfkoIhEFg4hEFAwiElEwiEhEwSAiEQWDiEQUDCISUTCISETBICIRBYOIRBQMIhJRMIhIRMEgIhEFg4hEFAwiElEwiEhEwSAiEQWDiEQUDCISUTCISETBICIRBYOIRBQMIhJRMIhIRMEgIhEFg4hEFAwiElEwiEhEwSAiEQWDiEQUDCISUTCISETBICKRjIPBzIrNbKWZPRbW+5jZC2ZWZWYPmFlpaC8L61Vhe+/clC4iudKYEcONwKsp61OBn7l7X2AbMD60jwe2hfafhX4i0oJkFAxm1hO4FPhVWDfgIuCh0GUWMCYsXx7WCdtHhP4i0kJkOmKYBnwPqA/rnYHt7r4vrFcDPcJyD2AjQNi+I/RPY2YTzGy5mS2vo/YoyxeRXGgwGMzsMqDG3V/M5oHdfYa7D3X3oW0oy+ZLi0gTlWTQZzjwOTMbDZQDxwO3Ax3NrCSMCnoCm0L/TUAvoNrMSoAOwAdZr1xEcqbBEYO7T3H3nu7eGxgLLHL3rwCLgStDt3HAvLA8P6wTti9yd89q1SKSU025juH7wCQzqyI5hzAztM8EOof2ScDkppUoIs0tk1OJA9z9aeDpsPwmMOwQff4OfCELtYlInujKRxGJKBhEJKJgEJGIgkFEIgoGEYkoGEQkomAQkYiCQUQiCgYRiSgYRCSiYBCRiIJBRCIKBhGJKBhEJKJgEJGIgkFEIgoGEYkoGEQkomAQkYiCQUQiCgYRiSgYRCSiYBCRiIJBRCIKBhGJKBhEJKJgEJGIgkFEIgoGEYkoGEQkomAQkYiCQUQiCgYRiSgYRCSSUTCY2QYzW2Nmq8xseWirNLMFZrY+fO8U2s3MpptZlZmtNrPBufwBRCT7GjNiuNDdz3T3oWF9MrDQ3fsBC8M6wCigX/iaANyVrWJFpHk05VTicmBWWJ4FjElpn+1JS4COZta9CccRkWaWaTA48H9m9qKZTQht3dz9vbC8GegWlnsAG1P2rQ5tacxsgpktN7PlddQeRekikislGfY7z903mdkngAVm9lrqRnd3M/PGHNjdZwAzAI63ykbtKyK5ldGIwd03he81wFxgGLBl/ylC+F4Tum8CeqXs3jO0iUgL0WAwmFk7Mztu/zLwGWAtMB8YF7qNA+aF5fnANeHTiXOAHSmnHCLSAmRyKtENmGtm+/v/zt2fMLNlwINmNh54G7gq9H8cGA1UAbuBa7NetYjklLnn//TezP4GrMt3HRnqAryf7yIy0FLqhJZTa0upEw5d60nu3jWTnTOdfMy1dSnXRxQ0M1veEmptKXVCy6m1pdQJTa9Vl0SLSETBICKRQgmGGfkuoBFaSq0tpU5oObW2lDqhibUWxOSjiBSWQhkxiEgByXswmNlIM1sXbtOe3PAeOa3l12ZWY2ZrU9oK8vZyM+tlZovN7BUze9nMbizEes2s3MyWmtlLoc4fh/Y+ZvZCqOcBMysN7WVhvSps790cdabUW2xmK83ssQKvM7ePQnD3vH0BxcAbwMlAKfAS0D+P9VwADAbWprT9NzA5LE8Gpobl0cCfAAPOAV5o5lq7A4PD8nHA60D/Qqs3HK99WG4DvBCO/yAwNrTfDXwzLF8P3B2WxwIPNPN/10nA74DHwnqh1rkB6HJQW9Z+9832gxzmhzsXeDJlfQowJc819T4oGNYB3cNyd5LXXAD8AvjSofrlqe55wCWFXC/QFlgBnE3y4puSg98HwJPAuWG5JPSzZqqvJ8lni1wEPBb+Ryq4OsMxDxUMWfvd5/tUIqNbtPOsSbeXN4cwjB1E8l/jgqs3DM9XkbzRbgHJUeJ2d993iFoO1Bm27wA6N0edwDTge0B9WO9coHVCDh6FkKpQrnxsEdwbf3t5rplZe+Bh4DvuvjPc0wIUTr3ungDONLOOJO/OPS3PJUXM7DKgxt1fNLNP57ueDGT9UQip8j1iaAm3aBfs7eVm1oZkKNzn7o+E5oKt1923A4tJDsk7mtn+f5hSazlQZ9jeAfigGcobDnzOzDYAc0ieTtxegHUCuX8UQr6DYRnQL8z8lpKcxJmf55oOVpC3l1tyaDATeNXdbyvUes2saxgpYGYVJOdBXiUZEFceps799V8JLPJwYpxL7j7F3Xu6e2+S78NF7v6VQqsTmulRCM01WXKESZTRJGfU3wD+Lc+13A+8B9SRPA8bT/K8cSGwHngKqAx9Dbgj1L0GGNrMtZ5H8jxzNbAqfI0utHqBgcDKUOda4Ieh/WRgKcnb838PlIX28rBeFbafnIf3waf5+FOJgqsz1PRS+Hp5//832fzd68pHEYnk+1RCRAqQgkFEIgoGEYkoGEQkomAQkYiCQUQiCgYRiSgYRCTy/+5AuLC080GzAAAAAElFTkSuQmCC\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.imshow(np.abs(fftImg))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "E1Sh4e5qoD4P",
        "outputId": "755d3e42-72cf-4738-9a5d-50c5f2082e3b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f78521ae700>"
            ]
          },
          "metadata": {},
          "execution_count": 624
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "imsize=512\n",
        "D=1\n",
        "lambda_=0.2\n",
        "Dl=D/lambda_\n",
        "coor = np.asarray([[0,i] for i in range(0,50,1)])\n",
        "u,v=caluv(coor)\n",
        "sampling = np.zeros((imsize,imsize), dtype='float')\n",
        "for i in range(0,len(v)):\n",
        "  sampling[imsize//2+u[i],imsize//2+v[i]]=1\n",
        "fig, axes = plt.subplots(figsize=(12,12), nrows=2, ncols=2, facecolor='white')\n",
        "\n",
        "axes[0,0].scatter(u,v)\n",
        "axes[0,0].set_title('Telescope  UV plane (D/$\\lambda$)')\n",
        "\n",
        "axes[0,1].imshow(image)\n",
        "axes[0,1].set_title('Real sky image')\n",
        "psf = np.abs( np.fft.fftshift( np.fft.fft2(sampling)))\n",
        "axes[1,0].pcolor(psf)\n",
        "axes[1,0].set_title('Telescope resolution ($\\lambda$/D)')\n",
        "\n",
        "obsSky = np.abs(np.fft.ifft2(np.fft.fftshift(sampling * fftImg)))\n",
        "axes[1,1].imshow(obsSky)\n",
        "axes[1,1].set_title('Observed sky image')\n",
        "\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "f16be4ZASYoS",
        "outputId": "962b3630-1a37-4ab2-c22e-21235ee1a417"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] [0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, -9, -9, -9, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, -9, -9, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, -9, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -5, -5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -4, -4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -3, -3, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -2, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x864 with 4 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "imsize=512\n",
        "D=1\n",
        "lambda_=0.2\n",
        "Dl=D/lambda_\n",
        "coor = np.asarray([[i,0] for i in range(0,50,1)])\n",
        "u,v=caluv(coor)\n",
        "sampling = np.zeros((imsize,imsize), dtype='float')\n",
        "for i in range(0,len(v)):\n",
        "  sampling[imsize//2+u[i],imsize//2+v[i]]=1\n",
        "fig, axes = plt.subplots(figsize=(12,12), nrows=2, ncols=2, facecolor='white')\n",
        "\n",
        "axes[0,0].scatter(u,v)\n",
        "axes[0,0].set_title('Telescope  UV plane (D/$\\lambda$)')\n",
        "\n",
        "axes[0,1].imshow(image)\n",
        "axes[0,1].set_title('Real sky image')\n",
        "psf = np.abs( np.fft.fftshift( np.fft.fft2(sampling)))\n",
        "axes[1,0].pcolor(psf)\n",
        "axes[1,0].set_title('Telescope resolution ($\\lambda$/D)')\n",
        "\n",
        "obsSky = np.abs(np.fft.ifft2(np.fft.fftshift(sampling * fftImg)))\n",
        "axes[1,1].imshow(obsSky)\n",
        "axes[1,1].set_title('Observed sky image')\n",
        "\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "C3D61sBh9CIC",
        "outputId": "a9cb1efd-6ae9-46e2-a215-ab054f4f71fc"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, -9, -9, -9, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, -9, -9, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, -9, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -5, -5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -4, -4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -3, -3, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -2, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0] [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x864 with 4 Axes>"
            ],
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtAAAAK9CAYAAAANPVsYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdfVxUdf7//+fIeBmKoKIssCoOKeIFKkhXn1YlNK0wk1VKk8qirD6u2oXufruyXyZW61rZ1rJZYZlk7iaa11Ju5aqEaVdaoSsGI6JypZgiF+f3R59mnQaFIwyD+rjfbt5unvf7Pee8zgHPPD3znnMshmEYAgAAAFAnzTxdAAAAAHAhIUADAAAAJhCgAQAAABMI0AAAAIAJBGgAAADABAI0AAAAYAIBGgAAADCBAA0AAACYQIBGjbp166ZNmzZ5uowLnieP4x//+EctWLDAbesfPHiwvv32W7etH8DFY/PmzQoKCjL9ujvuuEOPPfZYvbfv7e2t//znP/VeD/ALAvRFzNvb2/GnWbNmat26tWN5yZIlni7PIywWi/bu3evU9tRTT2nixImSpOuvv15PPPGEy+vS09PVpUsXVVZWNkqd9XXkyBEtXrxY9957r6Sfg3zr1q3Vtm1btW/fXldddZVee+01VVdXu7z24MGDTm90YWFhCgoKcgnLDz/8cI3HCsCF65dzhbe3t7p06aI77rhDZWVlni6r3srKyhQSEuLpMnARIUBfxMrKyhx/fvvb32rVqlWO5QkTJni6vCYpMTFR77zzjn79hPu3335bEyZMkNVq9VBl5rz11lsaNWqUWrdu7WhbtWqVjh8/rgMHDmjWrFmaN2+eJk+e7PLaNWvW6Prrr3csf/PNN7r88su1fPlyp3FxcXH6+OOPdejQIfftCIBG98t7xa5du7Rz507NnTvX0yUBTQ4B+hJ28OBBjR07Vp06dVL37t310ksvndfYefPmKTAwUG3btlXPnj2VkZEhScrNzdUtt9yiTp06qUOHDnrwwQcdr9mzZ4+GDBmi9u3bKzw8XCtXrnT0devWTXPnzlXv3r3l6+urO++8U6dOnTqvus26+eabVVhYqE8//dTRVlxcrA8//FCTJk2q8TW11Xum5ORk9ejRQ23btlXv3r31wQcfOK3nhRdeUL9+/eTj46Px48c71mN2n9euXavf/e53Nfb5+PgoLi5O7733nlJTU/XNN9849a9Zs0ajRo1yLHt5eemaa67RV1995TSuVatWGjRokNavX3/OWgBcmLp06aIRI0Zo165djrZt27bpqquuUvv27dW/f39t3rzZ0ffmm28qLCxMbdu2VUhIiP72t7/VaTuGYWj69Ony9/dXu3bt1LdvX5fzkiQdP35cQ4cO1dSpU/XAAw/ooYcecuqPi4vTX/7ylxq3ceanj3fccYfuv/9+jRw5Ut7e3rr66qt16NAhTZs2Tb6+vurVq5d27tzpeO25zttVVVV66KGH1LFjR3Xv3l0LFy6UxWJxfFpZWlqqyZMnKyAgQIGBgXrsscdUVVVVp+OCpo0AfYmqrq7WTTfdpP79+8tutysjI0MLFiyoMQyda+z333+vhQsX6vPPP9fx48e1fv16devWTVVVVbrxxhvVtWtX5eTkyG63KyEhQZJUUVGhm266ScOHD9fhw4f18ssva8KECfr+++8d21yyZInWr1+vffv26YcfftAzzzxjuu7z0bp1a40bN06LFy92tC1btky9evVS//79z/q6s9X7az169NCnn36q0tJSPfnkk5o4caLy8/OdtrVu3Trt379fX331ld56663z2uevv/5aPXv2POe+Dh48WEFBQU7/WaioqNAnn3yi2NhYR9vJkye1dOlSffnlly7rCAsLq7EdwIUvLy9Pa9eulc1mkyTZ7XbdcMMNeuyxx1RUVKQXXnhBY8eO1ZEjRyRJ/v7++vDDD3Xs2DG9+eabmj59ur744otat7NhwwZ98skn+uGHH1RaWqply5apQ4cOTmMKCwsVExOjq6++Wi+99JISExO1dOlSxzS0o0ePatOmTbrtttvqtG/Lli3TM888o6NHj6ply5a68sorNXDgQB09elTx8fGaMWOGY+y5ztt///vftXbtWu3atUtffPGFVqxY4bSdO+64Q1arVXv37tXOnTu1YcMGvf7663WqEU2cgUtC165djY0bNzqWt23bZgQHBzuNefbZZ4077rjDZfy5xmZnZxudOnUyNm7caJw+fdrR/+9//9vo2LGjUVFR4VLLJ598YnTu3NmoqqpytCUkJBhPPvmkY9uvvvqqo2/16tVGSEhInequjSQjOzvbqe3JJ580JkyY4Fj+9NNPDR8fH+PkyZOGYRjGVVddZcyfP/+s6zxXvb8+7r/Wv39/Y8WKFY6xb7/9tqPvkUceMe69997z2mer1Wrs2bPHqcaa6oiOjjaeeeYZx/KmTZuMYcOGOY2ZPn26MWTIEMNisRjHjx936vvTn/5k3HnnnWetA8CFpWvXrsZll11meHt7G5KMYcOGGcXFxYZhGEZycrIxceJEp/HDhw833nrrrRrXNXr0aGPBggWGYRjGxx9/bAQGBtY4LiMjwwgNDTW2bt3q9L5gGIaRmJho3HnnnUZ4eLjx3HPPOfX16tXL2LBhg2EYhvHyyy8bI0eOPOt+nXnuT0xMNO6++25H30svvWT06tXLsfzVV18ZPj4+Z13XmeftoUOHGq+99pqjb+PGjYYko6Kiwjh06JDRokUL46effnL0v/vuu8aQIUPOum5cOLgCfYk6cOCADh48qPbt2zv+PPvssyooKDA11mazacGCBXrqqafk7++vhIQEHTx4ULm5ueratWuNc4YPHjyo4OBgNWv231+/rl27ym63O5aDg4Od+g4ePGi67pp4eXmpoqLCqa2iokLNmzd3LF9zzTXq2LGjVqxYoX379ikzM7PWqxpnq/fXFi9erIiICEft33zzjY4ePero79Kli+Pvbdq0UVlZ2Xnts6+vr44fP37OmqWfryj5+fk5ln89fWPr1q16//339Y9//EM+Pj76+uuvnV5//PhxtW/fvtbtALhwrFixQsePH9fmzZv13XffOc5RBw4c0Pvvv+90Lvrss88cV2PXrl2rK664Qn5+fmrfvr3WrFnjdH47m2HDhunBBx/UAw88IH9/fyUlJenYsWOO/tWrV+vkyZO67777nF73y3dWJOmdd97R7bffXud97Ny5s+PvrVu3dlk+84uT5zpv//J+9osz/37gwAFVVFQoICDA8dp7771Xhw8frnOdaLoI0Jeo4OBgde/eXSUlJY4/x48f15o1a0yPve222/TZZ5/pwIEDslgsmjlzpoKDg/Xjjz/WeNeK3/zmN8rNzXW6A8SPP/6owMBAx3Jubq5T329+8xvTddfkt7/9rXJycpza9u/fr65duzq1TZo0SYsXL9Y777yjESNGOJ1ca3K2es904MAB3XPPPVq4cKEKCwtVUlKiPn36uHxh8dfOZ5/79eunH3744Zzr/fzzz2W323XNNdc42s4M0KdOndKdd96p1157TX5+furfv7/LPOg9e/acc2oLgAvX7373O91xxx16+OGHJf18Lrr99tudzkUnTpzQrFmzVF5errFjx+rhhx9WQUGBSkpKNGrUqFrPb7+YOnWqduzYod27d+uHH37Q888/7+i75557dP3112vUqFE6ceKEo33ixIlKT0/Xl19+qT179ujmm29u2AOg2s/bAQEBysvLc4w/870gODhYLVu21NGjRx3H69ixY9z+8yJBgL5EDR48WG3bttW8efN08uRJVVVV6ZtvvtHnn39uauz333+vjz76SOXl5WrVqpVat26tZs2aafDgwQoICNCsWbN04sQJnTp1Slu2bJEkRUdHq02bNnruuedUUVGhzZs3a9WqVY450pL0yiuvKC8vT0VFRZozZ47Gjx9vuu6ajB8/Xs8884zy8vJUXV2tTZs2adWqVYqPj3caN2nSJG3atEl///vflZiYWOt6z1bvmU6cOCGLxaJOnTpJ+vkLNzV9UebXzmefR40apX/961819h07dkwffvihEhISNHHiRPXt21fSz/+RKC8vV1hYmCTpiSee0FVXXaUbbrhBkhQREeE03/nUqVPasWOH03xpABeXadOmaePGjfryyy81ceJErVq1SuvXr1dVVZVOnTqlzZs3Ky8vT6dPn1Z5ebk6deokq9WqtWvXasOGDXXaxueff67t27eroqJCl112mVq1auX0CaUkLVy4UD179tRNN92kkydPSpKCgoIUFRWl22+/XWPHjnW661BDqe28PW7cOL344ouy2+0qKSnRvHnzHH0BAQEaPny4HnroIR07dkzV1dXat2/fWc/NuLAQoC9RXl5e+vDDD7Vr1y51795dHTt21N13363S0lJTY8vLyzVr1ix17NhRXbp00eHDhzV37lx5eXlp1apV2rt3r377298qKChI7733niSpRYsWWrVqldauXauOHTvq/vvv1+LFi9WrVy/HNm+77TYNHz5cISEh6tGjh+NG+mbqrskvofCaa66Rr6+vHn30US1ZskR9+vRxGtetWzddddVVOnHihOLi4mpd79nqPVPv3r310EMP6corr1Tnzp319ddf6+qrr6513eezz5MmTdKaNWscbzSSdNNNN6lt27YKDg7WnDlzNGPGDL355puO/tWrVzuuPmdmZur99993+kZ7RESE0xXoVatWaciQITVebQdwcejUqZMmTZqkp59+WsHBwUpPT9ezzz6rTp06KTg4WM8//7yqq6vVtm1bvfTSSxo3bpx8fX317rvv1uncKf38n/p77rlHvr6+6tq1qzp06KBHHnnEaYzFYlFKSoqCgoI0evRoxx2KEhMT9fXXX5uavmFGbefte+65R8OHD1e/fv00YMAAjRo1SlarVV5eXpJ+nv5x+vRpx12a4uPjnb44jguXxajr5ytAI+nWrZtef/11XXfddZ4upU6aar1/+tOf5O/vr2nTptVp/KhRo/Tggw86zYE+l+joaC1atMjlPx8A0Fg++eQTTZw40TGF0NPWrl2r++67TwcOHPB0KXCzC+OpEABMe/bZZ02NHzJkiIYOHVrn8du3bzdbEgA0mIqKCr344ou6++67PRaeT548qY8//ljDhw9XQUGBZs+erTFjxnikFjQupnAAkCQ9+uijbplDiIvfunXr1LNnT9lsNiUnJ3u6HFwC9uzZo/bt2ys/P7/On7K5g2EYevLJJ+Xr66sBAwYoLCxMTz/9tMfqQeNhCgcA4LxVVVXp8ssv18aNGx1f6lq6dKl69+7t6dIAwG24Ag0AOG+ZmZmy2WwKCQlRixYtlJCQoPT0dE+XBQBudUHOge7YsaO6devm6TIAwLScnJw6PVziQmG3250eHhEUFFTr/PgWlpZqpcvcXRoAmHZKJ3TaKK913AUZoLt166asrCxPlwEApkVGRnq6BI9ISUlRSkqKJMlLVkVbYjxcEQC42m5k1GkcUzgAAOctMDDQ6elreXl5Tk8V/UVSUpKysrKUlZWl5mrZmCUCQIMjQAMAzltUVJSys7O1f/9+nT59WmlpaXV+gAYAXKguyCkcAICmwWq1auHChRoxYoSqqqp01113KTw83NNlAYBbEaABAPUyatSoOj/BEgAuBkzhAAAAAEwgQAMAAAAmEKABAAAAEwjQAAAAgAkEaAAAAMAEAjQAAABgAgEaAAAAMIEADQAAAJhAgAYAAABMIEADAAAAJhCgAQAAABMI0AAAAIAJBGgAAADABAI0AAAAYAIBGgAAADCBAA0AAACYQIAGAAAATCBAAwAAACYQoAEAAAATCNAAAACACQRoAAAAwAQCNAAAAGACARoAAAAwgQANAAAAmECABgAAAEwgQAMAAAAmEKABAAAAEwjQAAAAgAkEaAAAAMAEAjQAAABgAgEaAAAAMIEADQAAAJjQIAF63bp16tmzp2w2m5KTk136y8vLNX78eNlsNkVHRysnJ8ep/8cff5S3t7deeOGFhigHAAAAcJt6B+iqqio98MADWrt2rXbv3q2lS5dq9+7dTmMWLVokX19f7d27V9OnT9fMmTOd+mfMmKGRI0fWtxQAAADA7eodoDMzM2Wz2RQSEqIWLVooISFB6enpTmPS09OVmJgoSYqPj1dGRoYMw5AkrVixQt27d1d4eHh9SwEAAADcrt4B2m63Kzg42LEcFBQku91+1jFWq1U+Pj4qLCxUWVmZ5s2bpyeffLLW7aSkpCgyMlKRkZE6cuRIfcsGAAAAzotHv0T41FNPafr06fL29q51bFJSkrKyspSVlaVOnTo1QnUAAACAK2t9VxAYGKjc3FzHcl5engIDA2scExQUpMrKSpWWlqpDhw7avn27li9frkcffVQlJSVq1qyZWrVqpQcffLC+ZQEAAABuUe8AHRUVpezsbO3fv1+BgYFKS0vTu+++6zQmLi5OqampuvLKK7V8+XINGzZMFotFn376qWPMU089JW9vb8IzAAAAmrR6B2ir1aqFCxdqxIgRqqqq0l133aXw8HA98cQTioyMVFxcnCZPnqzbb79dNptNfn5+SktLa4jaAQAAgEZnMX65HcYFJDIyUllZWZ4uAwBM4/wltbP4KdoS4+kyAMDFdiNDx4yiWsfxJEIAAADABAI0AAAAYAIBGgAAADCBAA0AAACYQIAGAAAATCBAAwAAACYQoAEAAAATCNAAAACACQRoAIDDXXfdJX9/f/Xp08fRVlRUpNjYWIWGhio2NlbFxcWSJMMwNHXqVNlsNvXr109ffPGFp8oGgEZFgAYAONxxxx1at26dU1tycrJiYmKUnZ2tmJgYJScnS5LWrl2r7OxsZWdnKyUlRVOmTPFEyQDQ6AjQAACHa6+9Vn5+fk5t6enpSkxMlCQlJiZqxYoVjvZJkybJYrHoiiuuUElJifLz8xu9ZgBobARoAMA5FRQUKCAgQJLUpUsXFRQUSJLsdruCg4Md44KCgmS32z1SIwA0JqunCwAAXDgsFossFovp16WkpCglJUWSVKHyhi4LABoVV6ABAOfUuXNnx9SM/Px8+fv7S5ICAwOVm5vrGJeXl6fAwMAa15GUlKSsrCxlZWWpuVq6v2gAcCMCNADgnOLi4pSamipJSk1N1ejRox3tixcvlmEY2rZtm3x8fBxTPQDgYsYUDgCAw6233qrNmzfr6NGjCgoK0uzZszVr1iyNGzdOixYtUteuXbVs2TJJ0qhRo7RmzRrZbDa1adNGb775poerB4DGQYAGADgsXbq0xvaMjAyXNovFoldeecXdJQFAk8MUDgAAAMAEAjQAAABgAgEaAAAAMIEADQAAAJhAgAYAAABMIEADAAAAJhCgAQAAABMI0AAAAIAJBGgAAADABAI0AAAAYAIBGgAAADCBAA0AAACYQIAGAAAATCBAAwAAACYQoAEAAAATCNAAAACACQRoAAAAwAQCNAAAAGACARoAAAAwgQANAAAAmECABgAAAEwgQAMAAAAmEKABAAAAEwjQAAAAgAkEaAAAAMAEAjQAAABgAgEaAAAAMIEADQAAAJjQIAF63bp16tmzp2w2m5KTk136y8vLNX78eNlsNkVHRysnJ0eStHHjRg0aNEh9+/bVoEGD9NFHHzVEOQAAAIDb1DtAV1VV6YEHHtDatWu1e/duLV26VLt373Yas2jRIvn6+mrv3r2aPn26Zs6cKUnq2LGjVq1apa+//lqpqam6/fbb61sOAAAA4Fb1DtCZmZmy2WwKCQlRixYtlJCQoPT0dKcx6enpSkxMlCTFx8crIyNDhmFowIAB+s1vfiNJCg8P18mTJ1VeXl7fkgAAAAC3qXeAttvtCg4OdiwHBQXJbrefdYzVapWPj48KCwudxvzjH//QwIED1bJlyxq3k5KSosjISEVGRurIkSP1LRsAAAA4L1ZPFyBJ3377rWbOnKkNGzacdUxSUpKSkpIkSZGRkY1VGgAAAOCk3legAwMDlZub61jOy8tTYGDgWcdUVlaqtLRUHTp0cIwfM2aMFi9erB49etS3HAAAAMCt6h2go6KilJ2drf379+v06dNKS0tTXFyc05i4uDilpqZKkpYvX65hw4bJYrGopKREN9xwg5KTk3X11VfXtxQAAADA7eodoK1WqxYuXKgRI0YoLCxM48aNU3h4uJ544gmtXLlSkjR58mQVFhbKZrNp/vz5jlvdLVy4UHv37tXTTz+tiIgIRURE6PDhw/UtCQAAAHAbi2EYhqeLMCsyMlJZWVmeLgMATOP8JbWz+CnaEuPpMgDAxXYjQ8eMolrH8SRCAAAAwAQCNAAAAGACARoAAAAwgQANAAAAmECABgAAAEwgQAMAAAAmEKABAAAAEwjQAAAAgAkEaAAAAMAEAjQAAABgAgEaAAAAMIEADQAAAJhAgAYAOOTm5mro0KHq3bu3wsPD9eKLL0qSioqKFBsbq9DQUMXGxqq4uFiSZBiGpk6dKpvNpn79+umLL77wZPkA0CgI0AAAB6vVqj//+c/avXu3tm3bpldeeUW7d+9WcnKyYmJilJ2drZiYGCUnJ0uS1q5dq+zsbGVnZyslJUVTpkzx8B4AgPsRoAEADgEBARo4cKAkqW3btgoLC5Pdbld6eroSExMlSYmJiVqxYoUkKT09XZMmTZLFYtEVV1yhkpIS5efne6x+AGgMBGgAQI1ycnK0c+dORUdHq6CgQAEBAZKkLl26qKCgQJJkt9sVHBzseE1QUJDsdrtH6gWAxmL1dAEAgKanrKxMY8eO1YIFC9SuXTunPovFIovFYmp9KSkpSklJkSRVqLzB6gQAT+AKNADASUVFhcaOHasJEybolltukSR17tzZMTUjPz9f/v7+kqTAwEDl5uY6XpuXl6fAwECXdSYlJSkrK0tZWVlqrpaNsBcA4D4EaACAg2EYmjx5ssLCwjRjxgxHe1xcnFJTUyVJqampGj16tKN98eLFMgxD27Ztk4+Pj2OqB9DQLM1bqFmrVk5/frolWtbA37i0y+SnJIAZTOEAADhs2bJFb7/9tvr27auIiAhJ0rPPPqtZs2Zp3LhxWrRokbp27aply5ZJkkaNGqU1a9bIZrOpTZs2evPNNz1ZPi5Cp0dEqrR7c0lS70l7NMl/i1N/j+abZK/y1qnq5k7tU1ZNVvvvfg7RXdL/o8pDBY1TMC4JFsMwDE8XYVZkZKSysrI8XQYAmMb5S2pn8VO0JcbTZaAJ87J1V+4tAboqfqfu7PiZrmjlVa/1PXO0lz472kMVz3RR8y3fyChnHj5qtt3I0DGjqNZxXIEGAABNgldnf/3ngR66c8wmzezwwS+t9V7vYx2/kzp+p4q3q3T1rgR5v+ijlp/tVvVPP9V73bg0EaABAIBHNWvbVj/+b189nrhUY7xXq6Wlee0vOg/NLV7KHPC+Di86oRFfTJZ3qo/afJApXXgfxsPDCNAAAMBjiu68Uv87833d2nazmlu8JLknPJ/J3+sy7YxK057+P2nqA+PV4i6p8kBu7S8E/g8BGgAANDprUKDyFrbT2xF/Ub8WrVSXqRql1SeVXhZc67jA5sWKaV1V67iwFm20MWyVHkvvqxVp/6OgFzJlVFbWpXxc4gjQAACgUVmDg9Rh2TGt7rpaUquzjqswqnS06qSm7B+rPZ+EqFWRRQEvZ8qoPveUi2Z9rtP9v/dVdXNpyfiXFGI9rY5el511/DP+X2vWg58r2jJDQfO2S9W1h29c2gjQAACg0Vi7Bst36XEt7vrJOcctOd5BT6z9vXq9kCujrEzdSrZKkuoyW7n6q+/U7auf/z77xZt0qnegjs84pi0Raf83TcSVd7NW+uz+F3SN5WEFPftvM7uESxAPUgEAAI3C2jVYbd89oXe6bT7rmNdKAnV56hQtueU62aZtU2WeXVUlpee9zcr8Q7Jm7JDfLT/q+klJGrHnRu2rKKtxrK9XG2267znl/ekqqVn97/6BixcBGgAAuJ01OEg+75YprftHZx1zv/0KrRwdre5/3Kqqb79v0O0b5eWyZuyQYvIU//yjyq+sOUQHWL31rynPK29mtCxWPqhHzQjQAADArX6Z8/xu949r7M+vLFP3Vfco59YAVWX/x+31+L+yVXFPPaIbfxhZY39Hr8u0/YH5yn1kMI8ER40I0AAAwK0OLvQ+65znfRVlunHOI7r8vixV7d3fOAUZhvze2KrqseW68suxNQ7xbtZKH9//vE7dGNU4NeGCQoAGAABuU3TnlUrt/1aNffsqyhQ/71F1/NtWjzzMpKqwSH53lunqr26psd/f6zL5PnxA1sDfNHJlaOoI0AAAwC2atW2rabOW/d99np3lV5Zp3LOPyP+vnr3jReWhAvlMLNWQb25WlVHt0r8idL323t+VqRxwQoAGAABuceAPfTXO+3CNfVetmaGOKdsauaKaVR0tVJvbf9K28pr7377tJVk7+zduUWjSCNAAAKDBWbt01lOTltR43+V7865U2AtHPDJt42yqDh/Rg/MfrPEWdwNaNNOeP3Vr/KLQZBGgAQBAg9v7QIhGX3bUpf2VkmDlTghovC8M1pVhyH/hv3Xzy4+6dDW3eOn565fKK7ynBwpDU0SABgAADcorNER33bxJLS3NXfpeTL+xUW5Vd75++8+Dmn2kt0v7WO9jyk7080BFaIoI0AAAoEH9OLaLZnbIdmlPO+4r2ztFHqio7ir/k6O0D4ao3Khw6XvoxpXy6mnzQFVoagjQAACgQQ0Zu8OlrcKo0v9bO77BnzDoDiF/+4/eOx7g0n5fe7sOX9vJAxWhqSFAAwCABnN6RKQmdfzMpT2/6qR6vZDrgYrMq8w/pGf++fsa+1qNLeAR3yBAAwCAhlMa0lyDW7rOfZ66f6yMMtc7XDRVnbOqtef0Ty7tf7StIUCDAA0AANzvu809VFVS6uky6uyylTv0ZXmgp8tAE0WABgAADcLSsqV6377Hpb2s+pRalnigoHowqg39+7jrFwajWxYqP2mgBypCU0KABgAADcLi5aVJ/ltc2t873k0BL2d6oKJ6qK7StpcjXZo7el2msq6uj/zGpaVBAvS6devUs2dP2Ww2JScnu/SXl5dr/Pjxstlsio6OVk5OjqNv7ty5stls6tmzp8N4VucAACAASURBVNavX98Q5QAAgCbGqG46Tx2sK8uFVzIaSb1nwVdVVemBBx7Qxo0bFRQUpKioKMXFxal37//ehHzRokXy9fXV3r17lZaWppkzZ+q9997T7t27lZaWpm+//VYHDx7Uddddpx9++EFeXq6P/ayPbrNWu7TlJN/QpF/ryW1fqHV7ctvU3bjbvlDrBgBcHOp9BTozM1M2m00hISFq0aKFEhISlJ6e7jQmPT1diYmJkqT4+HhlZGTIMAylp6crISFBLVu2VPfu3WWz2ZSZ2bAf8dT0Zneu9qbwWk9u+0Kt25Pbpu7G3faFWjcA4OJR7wBtt9sVHBzsWA4KCpLdbj/rGKvVKh8fHxUWFtbptQAA4MJwfGRf9Whe7Oky3K5f1D55deCx3peyC+ZLhCkpKYqMjFRkZKSOHDni6XIAAMCv+GTaZa/y9nQZbrfzu26qLj3m6TLgQfUO0IGBgcrN/e+ThfLy8hQYGHjWMZWVlSotLVWHDh3q9NpfJCUlKSsrS1lZWerUicdoAgDQ1FQXFulUtetDVC42Xse9ZFRWeroMeFC9A3RUVJSys7O1f/9+nT59WmlpaYqLi3MaExcXp9TUVEnS8uXLNWzYMFksFsXFxSktLU3l5eXav3+/srOzNXjw4PqWBAAAALhNvQO01WrVwoULNWLECIWFhWncuHEKDw/XE088oZUrV0qSJk+erMLCQtlsNs2fP99xq7vw8HCNGzdOvXv31vXXX69XXnmlwe/AcbZvx9flW/Oeeq0nt32h1u3JbVN34277Qq0bAHDxsBiGccHd5TAyMlJZWVmeLgMATOP8JbWz+CnaEuPpMuAGzdq00fSvPtfwNhVO7Rt+aq6/3DxW1d9856HKzk/OnCv1/Z2vurTblt6nHg9t80BFcLftRoaOGUW1jrtgvkQIAACatupT5Zry4WSX9uFtKrT/9xfWXSssVqtmx6e5tO8oP60e753wQEVoSgjQAACgYVRXyed7S81dzS+sD7wtLVuqmcX1kd2Hqtqp2VfZHqgITQkBGgAAuN3ihIWyBnTxdBl1dmB6f425rPaP8nFpIkADAIAGE/DBfzSvMNSlPaT5KZ0Kq/lWtU2NpWVLnbKVq7nF9cYGDy25S9Xl5R6oCk0JARoAADSYykMF2lLUw6Xd3+sylUw/LkvzFh6oyhxLWA9ti3nJpb20+qR89hrShXf/BTQwAjQAAGhQx58NUpXhOn/43wOXqOJ/+nqgInMOPNZM/l6XubRPyxuu9ksyPVARmhoCNAAAaFCt/vWNrvnq9y7tLS3NpT8d8UBFdVf9PwO0YfBrNfbtfa63VF3VyBWhKSJAAwCABlV96pRaveino1Wut3t7NXSpjky5UrLUfLcOT/Lq1EllfzqmIKu3S9/1392gth//4IGq0BQRoAEAQINr9elujfzyTpf2y5tfppV/fF5Fd1zhgarOztKypY693VZb+//Dpe9o1QmVLApWVXGxBypDU0SABgAADa76xAm1SPXVDxWuV6GDrN7qcPuP8urQdB6ucnJ4f6WGLa6x7/4DcfJbtbuRK0JTRoAGAABu4f2PLE3dN67GvnW9Vuvo4g7y6uzfyFW5+umWaM178VX1aO46dSO/skz737hcVceOeaAyNFUEaAAA4B7VVfK6y0uzj/SusTtzwPs6sqi9R69En7x5sP6/5/+uK1q53vNZkoakPiK/N7Y2clVo6gjQAADAbSpzftSy94bop+rTNfZ/PnCZSpe0l1enTo36xUJL8xY6ddNgzZ3/moa0dr3lniQ9X9RDIe8x7xmuCNAAAMCtgp/LVOSr01Rc9VON/Z/0Xa5Z2zfq8JQrG6Uer87+KlsVpDcWztfVrWqOQguKu+mjidGq/ua7RqkJFxYCNAAAcCujslLBc7fr6r89rPzKMpd+L0szXdtKem/m88qfcZWs3bu6pxCLRcbVESp+q60+6/fPGuc8S9K8wlCtn3CVqnfxxUHUjAANAADcr7pKwc/8WzF/f/SsV6Ivb36Zvnr4rxrwwX+U+/hVDfYFQ0vzFmrWP0w/LuujN5YurPFWdb+YVxiqzRMjCc84J6unCwAAAJeO4DnbdXX1w8qaskBtmrWoccwz/l/r8fu+0Du3Beu5f4xR56wqtV654+fOuj4JsJmXmrVqqQPTI3QqtFzbYl76v8dz13zVWfp52sbm26NU/SXhGedGgAYAOJw6dUrXXnutysvLVVlZqfj4eM2ePVv79+9XQkKCCgsLNWjQIL399ttq0aKFysvLNWnSJO3YsUMdOnTQe++9p27dunl6N9CUVVfpt/MyFWVM08dTnv+/UOuqpaW5Jvsc0uS7XtWeiT/pi3nB2nIsVDteGiyLYZxzE8W9LHri98vkpWqN9f5UzS1ekmrezi+eL+rx85xnrjyjDgjQAACHli1b6qOPPpK3t7cqKip0zTXXaOTIkZo/f76mT5+uhIQE3XfffVq0aJGmTJmiRYsWydfXV3v37lVaWppmzpyp9957z9O7gSbOqKxU0Nytiv92uro8sk/LQjLOOT6sRRuFtSjUhLaF0rxtJrdW8+3pfpFfWaYhqY8o5L1iVX9DeEbdMAcaAOBgsVjk7f3zR9wVFRWqqKiQxWLRRx99pPj4eElSYmKiVqxYIUlKT09XYmKiJCk+Pl4ZGRkyark6CEiSDEOt0zN14tbWunzxFO0qL1eFUcfpGQ2guOonJewfppuefkTdHt/K3TZgCgEaAOCkqqpKERER8vf3V2xsrHr06KH27dvLav35Q8ugoCDZ7XZJkt1uV3BwsCTJarXKx8dHhYWFHqsdF57K3Dx1/+M2/b+rRqvnB/dr5Yk2bt/mqO9HaeSsGTo2slIdXuchKTCPAA0AcOLl5aVdu3YpLy9PmZmZ+u67+l+ZS0lJUWRkpCIjI1Wh8gaoEhcVw1Bl/iGFPrhdr46Jk23pfVpU2qVBN1FafVKTf7xG1/zvvdItJ+WzZBuP58Z5Yw40AKBG7du319ChQ7V161aVlJSosrJSVqtVeXl5CgwMlCQFBgYqNzdXQUFBqqysVGlpqTp06OCyrqSkJCUlJUmS2lk899hmNH3V33ynHg9J/1h0rf76Px3ULv6g/th9jSQpqmWpfL3qdoV6V3m5Dlf9PB1p6rt3y2ev1P6dTF1WvV2NN1EEFysCNADA4ciRI2revLnat2+vkydPauPGjZo5c6aGDh2q5cuXKyEhQampqRo9erQkKS4uTqmpqbryyiu1fPlyDRs2TJZGfBwzLl5Vu39Qx92SZZFVf7EOkiQdvG+gyro6P3Z7QORe7fiuu5qVOX9Z0Lb0hJp9lS1J6lq+TWJuPhoQARoA4JCfn6/ExERVVVWpurpa48aN04033qjevXsrISFBjz32mAYMGKDJkydLkiZPnqzbb79dNptNfn5+SktL8/Ae4GJjVFbKqKyUJHVZ8G+X/p86+Kln6U7HmDNVu7QADYMADQBw6Nevn3bu3OnSHhISoszMTJf2Vq1a6f3332+M0oAaVRUWeboEXIL4EiEAAABgAgEaAAAAMIEADQAAAJhAgAYAAABMIEADAAAAJhCgAQAAABMI0AAAAIAJBGgAAADABAI0AAAAYAIBGgAAADCBAA0AAACYQIAGAAAATCBAAwAAACYQoAEAAAATCNAAAACACQRoAAAAwAQCNAAAAGACARoAAAAwgQANAAAAmFCvAF1UVKTY2FiFhoYqNjZWxcXFNY5LTU1VaGioQkNDlZqaKkn66aefdMMNN6hXr14KDw/XrFmz6lMKAAAA0CjqFaCTk5MVExOj7OxsxcTEKDk52WVMUVGRZs+ere3btyszM1OzZ892BO2HH35Y3333nXbu3KktW7Zo7dq19SkHAAAAcLt6Bej09HQlJiZKkhITE7VixQqXMevXr1dsbKz8/Pzk6+ur2NhYrVu3Tm3atNHQoUMlSS1atNDAgQOVl5dXn3IAAAAAt6tXgC4oKFBAQIAkqUuXLiooKHAZY7fbFRwc7FgOCgqS3W53GlNSUqJVq1YpJiamPuUAAAAAbmetbcB1112nQ4cOubTPmTPHadlischisZguoLKyUrfeequmTp2qkJCQs45LSUlRSkqKJOnIkSOmtwMAAAA0hFoD9KZNm87a17lzZ+Xn5ysgIED5+fny9/d3GRMYGKjNmzc7lvPy8jRkyBDHclJSkkJDQzVt2rRz1pGUlKSkpCRJUmRkZG1lAwAAAG5RrykccXFxjrtqpKamavTo0S5jRowYoQ0bNqi4uFjFxcXasGGDRowYIUl67LHHVFpaqgULFtSnDAAAAKDR1CtAz5o1Sxs3blRoaKg2bdrkuBVdVlaW7r77bkmSn5+fHn/8cUVFRSkqKkpPPPGE/Pz8lJeXpzlz5mj37t0aOHCgIiIi9Prrr9d/jwAAAAA3shiGYXi6CLMiIyOVlZXl6TIAwDTOX1I7i5+iLXxpHEDTs93I0DGjqNZxPIkQAAAAMIEADQAAAJhAgAYAAABMIEADAAAAJhCgAQAAABMI0AAAAIAJBGgAAADABAI0AAAAYAIBGgAAADCBAA0AAACYQIAGAAAATCBAAwAAACYQoAEAAAATCNAAAACACQRoAAAAwAQCNAAAAGACARoAAAAwgQANAAAAmECABgAAAEwgQAMAAAAmEKABAAAAEwjQAAAXVVVVGjBggG688UZJ0v79+xUdHS2bzabx48fr9OnTkqTy8nKNHz9eNptN0dHRysnJ8WDVANA4CNAAABcvvviiwsLCHMszZ87U9OnTtXfvXvn6+mrRokWSpEWLFsnX11d79+7V9OnTNXPmTE+VDACNhgANAHCSl5en1atX6+6775YkGYahjz76SPHx8ZKkxMRErVixQpKUnp6uxMRESVJ8fLwyMjJkGIZnCgeARkKABgA4mTZtmp577jk1a/bzW0RhYaHat28vq9UqSQoKCpLdbpck2e12BQcHS5KsVqt8fHxUWFjoss6UlBRFRkYqMjJSFSpvpD0BAPcgQAMAHD788EP5+/tr0KBBDbrepKQkZWVlKSsrS83VskHXDQCNzerpAgAATceWLVu0cuVKrVmzRqdOndKxY8f0hz/8QSUlJaqsrJTValVeXp4CAwMlSYGBgcrNzVVQUJAqKytVWlqqDh06eHgvAMC9uAINAHCYO3eu8vLylJOTo7S0NA0bNkxLlizR0KFDtXz5cklSamqqRo8eLUmKi4tTamqqJGn58uUaNmyYLBaLx+oHgMZAgAYA1GrevHmaP3++bDabCgsLNXnyZEnS5MmTVVhYKJvNpvnz5ys5OdnDlQKA+zGFAwBQoyFDhmjIkCGSpJCQEGVmZrqMadWqld5///1GrgwAPIsr0AAAAIAJBGgAAADABAI0AAAAYAIBGgAAADCBAA0AAACYQIAGAAAATCBAAwAAACYQoAEAAAATCNAAAACACQRoAAAAwAQCNAAAAGACARoAAAAwgQANAAAAmECABgAAAEwgQAMAAAAm1CtAFxUVKTY2VqGhoYqNjVVxcXGN41JTUxUaGqrQ0FClpqa69MfFxalPnz71KQUAAABoFPUK0MnJyYqJiVF2drZiYmKUnJzsMqaoqEizZ8/W9u3blZmZqdmzZzsF7X/+85/y9vauTxkAAABAo6lXgE5PT1diYqIkKTExUStWrHAZs379esXGxsrPz0++vr6KjY3VunXrJEllZWWaP3++HnvssfqUAQAAADSaegXogoICBQQESJK6dOmigoIClzF2u13BwcGO5aCgINntdknS448/roceekht2rSpTxkAAABAo7HWNuC6667ToUOHXNrnzJnjtGyxWGSxWOq84V27dmnfvn36y1/+opycnFrHp6SkKCUlRZJ05MiROm8HAAAAaEi1BuhNmzadta9z587Kz89XQECA8vPz5e/v7zImMDBQmzdvdizn5eVpyJAh2rp1q7KystStWzdVVlbq8OHDGjJkiNPYMyUlJSkpKUmSFBkZWVvZAAAAgFvUawpHXFyc464aqampGj16tMuYESNGaMOGDSouLlZxcbE2bNigESNGaMqUKTp48KBycnL02Wef6fLLLz9reAYAAACainoF6FmzZmnjxo0KDQ3Vpk2bNGvWLElSVlaW7r77bkmSn5+fHn/8cUVFRSkqKkpPPPGE/Pz86l85AAAA4AEWwzAMTxdhVmRkpLKysjxdBgCYxvlLamfxU7QlxtNlAICL7UaGjhlFtY7jSYQAAACACQRoAAAAwAQCNAAAAGACARoAAAAwgQANAAAAmECABgAAAEwgQAMAAAAmEKABAAAAEwjQAAAAgAkEaAAAAMAEAjQAAABgAgEaAAAAMIEADQAAAJhAgAYAAABMIEADAAAAJhCgAQAAABMI0AAAAIAJBGgAAADABAI0AAAAYAIBGgAAADCBAA0AAACYQIAGAAAATCBAAwAAACYQoAEAAAATCNAAAACACQRoAICTbt26qW/fvoqIiFBkZKQkqaioSLGxsQoNDVVsbKyKi4slSYZhaOrUqbLZbOrXr5+++OILT5YOAI2CAA0AcPHxxx9r165dysrKkiQlJycrJiZG2dnZiomJUXJysiRp7dq1ys7OVnZ2tlJSUjRlyhRPlg0AjYIADQCoVXp6uhITEyVJiYmJWrFihaN90qRJslgsuuKKK1RSUqL8/HxPlgoAbkeABgA4sVgsGj58uAYNGqSUlBRJUkFBgQICAiRJXbp0UUFBgSTJbrcrODjY8dqgoCDZ7XaXdaakpCgyMlKRkZGqUHkj7AUAuI/V0wUAAJqWzz77TIGBgTp8+LBiY2PVq1cvp36LxSKLxWJqnUlJSUpKSpIktbP4NVitAOAJXIEGADgJDAyUJPn7+2vMmDHKzMxU586dHVMz8vPz5e/v7xibm5vreG1eXp7j9QBwsSJAAwAcTpw4oePHjzv+vmHDBvXp00dxcXFKTU2VJKWmpmr06NGSpLi4OC1evFiGYWjbtm3y8fFxTPUAgIsVUzgAAA4FBQUaM2aMJKmyslK33Xabrr/+ekVFRWncuHFatGiRunbtqmXLlkmSRo0apTVr1shms6lNmzZ68803PVk+ADQKAjQAwCEkJERffvmlS3uHDh2UkZHh0m6xWPTKK680RmkA0GQwhQMAAAAw4YK8Ap2Tk+N4OlZTceTIEXXq1MnTZbigLvOaam1NtS6p6dbWFOvKycnxdAkeV33ZaRX32u/pMtyuKf7+uQP7eXG51PezRU7dri1bDMMwGrqoS1FkZKTjiV1NCXWZ11Rra6p1SU23tqZa16XuUvm5sJ8XF/bz4lLf/WQKBwAAAGACARoAAAAwweupp556ytNFXCwGDRrk6RJqRF3mNdXammpdUtOtranWdam7VH4u7OfFhf28uNRnP5kDDQAAAJjAFA4AAADABAI0AAAAYAIB+jyNHz9eERERioiIULdu3RQREVHjuG7duqlv376KiIholHtXP/XUUwoMDHTUtmbNmhrHrVu3Tj179pTNZlNycrLb63rkkUfUq1cv9evXT2PGjFFJSUmN4xrzeNV2DMrLyzV+/HjZbDZFR0c3yv17c3NzNXToUPXu3Vvh4eF68cUXXcZs3rxZPj4+jp/x008/7fa6flHbz8cwDE2dOlU2m039+vXTF1984faavv/+e8exiIiIULt27bRgwQKnMZ48ZnDW2Oced7rrrrvk7++vPn36ONqKiooUGxur0NBQxcbGqri4WJJn/m00hLOdky62/Tx16pQGDx6s/v37Kzw8XE8++aQkaf/+/YqOjpbNZtP48eN1+vRpSZ55f2hIVVVVGjBggG688UZJF+d+1vR+1aC/twbqbcaMGcbs2bNr7Ovatatx5MiRRqvlySefNJ5//vlzjqmsrDRCQkKMffv2GeXl5Ua/fv2Mb7/91q11rV+/3qioqDAMwzAeffRR49FHH61xXGMdr7ocg1deecW49957DcMwjKVLlxrjxo1ze10HDx40duzYYRiGYRw7dswIDQ11qevjjz82brjhBrfXUpPafj6rV682rr/+eqO6utrYunWrMXjw4Eas7uefa+fOnY2cnByndk8eM/yXJ8497vSvf/3L2LFjhxEeHu5oe+SRR4y5c+cahmEYc+fOdZzrPP1v43yd7Zx0se1ndXW1cfz4ccMwDOP06dPG4MGDja1btxq///3vjaVLlxqGYRj33nuv8de//tUwDM+8PzSkP//5z8att97qOC9ejPtZ0/tVQ/7ecgW6ngzD0LJly3Trrbd6upQ6y8zMlM1mU0hIiFq0aKGEhASlp6e7dZvDhw+X1frzgy+vuOIK5eXluXV7tanLMUhPT1diYqIkKT4+XhkZGTLc/J3bgIAADRw4UJLUtm1bhYWFyW63u3WbDSk9PV2TJk2SxWLRFVdcoZKSEuXn5zfa9jMyMtSjRw917dq10baJuvPEucedrr32Wvn5+Tm1nXneSExM1IoVKxztnvy3cb7Odk662PbTYrHI29tbklRRUaGKigpZLBZ99NFHio+Pl+S6n439/tBQ8vLytHr1at19992Sfs4xF+N+1qQhf28J0PX06aefqnPnzgoNDa2x32KxaPjw4Ro0aJBSUlIapaaFCxeqX79+uuuuuxwfT5zJbrcrODjYsRwUFNSoIe2NN97QyJEja+xrrONVl2Nw5hir1SofHx8VFha6raZfy8nJ0c6dOxUdHe3St3XrVvXv318jR47Ut99+22g11fbz8fTvVlpa2ln/M+upY4b/8vTvR2MoKChQQECAJKlLly4qKCiQdHHs+5nnpItxP6uqqhQRESF/f3/FxsaqR48eat++vePiz5n74un3h/qYNm2annvuOTVr9nMELCwsvCj3s6b3q4b8vbW6qe6LwnXXXadDhw65tM+ZM0ejR4+WJC1duvScV58/++wzBQYG6vDhw4qNjVWvXr107bXXuq2uKVOm6PHHH5fFYtHjjz+uhx56SG+88Ua9ttcQdf1yvObMmSOr1aoJEybUuA53HK8LUVlZmcaOHasFCxaoXbt2Tn0DBw7UgQMH5O3trTVr1ujmm29WdnZ2o9TVlH8+p0+f1sqVKzV37lyXPk8eM1y6LBaLLBaLp8toEOc6J10s++nl5aVdu3appKREY8aM0Xfffefpkhrchx9+KH9/fw0aNEibN2/2dDluVdP71Znq+3tLgD6HTZs2nbO/srJS//znP7Vjx46zjgkMDJQk+fv7a8yYMcrMzKx34Kitrl/cc889ji8I/Lqm3Nxcx3JeXp6jTnfW9dZbb+nDDz9URkbGWX9p3XG8zrad2o7BL2OCgoJUWVmp0tJSdejQocFr+bWKigqNHTtWEyZM0C233OLSf+ab16hRo3T//ffr6NGj6tixo9trq+3n467frbpYu3atBg4cqM6dO7v0efKY4b88+fvRWDp37qz8/HwFBAQoPz9f/v7+ki7sfa/pnHQx7ucv2rdvr6FDh2rr1q0qKSlRZWWlrFar07546v2hvrZs2aKVK1dqzZo1OnXqlI4dO6Y//OEPF91+SjW/XzXk7y1TOOph06ZN6tWrl4KCgmrsP3HihI4fP+74+4YNG5y+re0OZ87Z+eCDD2rcXlRUlLKzs7V//36dPn1aaWlpiouLc2td69at03PPPaeVK1eqTZs2NY5pzONVl2MQFxen1NRUSdLy5cs1bNgwt19lMQxDkydPVlhYmGbMmFHjmEOHDjnmoGVmZqq6urpRTmh1+fnExcVp8eLFMgxD27Ztk4+Pj+PjMnc716dBnjpmcOaJc09jO/O8kZqa6vj0zZP/NurjbOeki20/jxw54rg71MmTJ7Vx40aFhYVp6NChWr58uSTX/Wzs94eGMHfuXOXl5SknJ0dpaWkaNmyYlixZctHt59nerxr097ZBvup4iUpMTDReffVVpza73W6MHDnSMAzD2Ldvn9GvXz+jX79+Ru/evY1nnnnG7TVNnDjR6NOnj9G3b1/jpptuMg4ePOhSl2H8/I3T0NBQIyQkpFHq6tGjhxEUFGT079/f6N+/v+NbvZ48XjUdg8cff9xIT083DMMwTp48acTHxxs9evQwoqKijH379rm1HsMwjE8//dSQZPTt29dxrFavXm28+uqrjt+1l19+2ejdu7fRr18/Izo62tiyZYvb6zKMs/98zqyturrauP/++42QkBCjT58+xueff94otZWVlRl+fn5GSUmJo60pHDO4auxzjzslJCQYXbp0MaxWqxEYGGi8/vrrxtGjR41hw4YZNpvNiImJMQoLCw3D8Ny/jfo62znpYtvPL7/80oiIiDD69u1rhIeHO+6stW/fPiMqKsro0aOHER8fb5w6dcowDM+8PzS0M+9OdLHt59nerxry95ZHeQPA/9/e3UdHXd75/39dM5MAkZCEQACTSIR4gwgoyJ1fjwIWtWhhEQrxhqDSX5TWLmpbSVuP4p4WEquurth2abMSqRCQdTeKwYogrbdRqHbV6hYs0RDSCMFwn2Rurt8fLFNiuJmJST7zmTwf53AOmflkPu/PGK+8uOb6vC8AAKLAEg4AAAAgCgRoAAAAIAoEaAAAACAKBGgAAAAgCgRoAAAAIAoEaAAAACAKBGgAAAAgCgRoAAAAIAoEaAAAACAKBGgAAAAgCgRoAAAAIAoEaAAAACAKBGgAAAAgCgRoAAAAIAoEaAAAACAKBGgAAAAgCgRoAAAAIAoEaAAAACAKBGgAAAAgCgRoAAAAIAoEaAAAACAKBGgAAAAgCgRoAAAAIAoEaAAAACAKBGgAAAAgCgRoAAAAIAoEaAAAACAKBGi0kpOTo1deecXpMlzj67xfQ4cO1ebNm9u3oOP8+Mc/1mOPPdZhrz9mzBh99NFHHfb6ANrfokWLdPPNNztdRlSWL1+uyy67LOrvmzBhgn77299+rXN//vnn6tmzp4LB4Nd6HcQXAnSc6tmzZ/iPx+NRjx49wl8/88wzTpfXZX01bH/09w327QAAIABJREFU0UeaMGFCh5xr9+7devrpp3X77beHHxsyZIiysrJOGHp37dqlrKyscJ09evRQcnKyUlNTdemll+rXv/61QqFQi+/54Q9/qPvvv79D6gfQNsuXL9ewYcOUlJSk/v37a/78+WpoaHC6LNc666yzdPDgQXm9XqdLQQwhQMepgwcPhv+cddZZeuGFF8Jf33TTTU6X1+kCgYDTJXS65cuXa8qUKerRo0f4sQ8//FDnnnuu1q5d2+r4iooKXXPNNeGvX3jhBR04cECfffaZCgsLVVxcrHnz5rX4nqlTp+rVV1/V3//+9467EAARe+SRR7Rw4UL94he/0L59+/T222/rs88+0+TJk9Xc3NxpdXTFMRddCwG6i9q1a5dmzJihvn376uyzz9a//du/tenY4uJiZWZmKjk5Weedd542btwoSaqurtb111+vvn37Kj09XXfeeWf4ez7++GNNmDBBqampGjp0qJ5//vnwczk5OVqyZIkuuOACpaWl6dZbb1VjY2Ob6s7JyVFxcbGGDx+uM844Q4FAoE3Xcrqaj2eM0fbt28Nf33LLLbrvvvskSXPmzNHnn3+ub33rW+rZs6ceeuihVjPSp3tvHn74YQ0fPlwpKSmaPXt2i/fmq9avX68rrriixWNer1eXXXaZ/ud//qfV8RUVFZoyZUqrx1NSUjR16lStXr1apaWl+vDDD8PPde/eXaNGjdLvf//7k9YBoHPs379fDzzwgJ544gldc801SkhIUE5OjtasWaOqqir97ne/Cx/b2Nio2bNnKzk5WSNHjtSf//zn8HMnGwtDoZCKioo0ePBgpaena9asWdq7d68kqaqqSsYYlZSU6KyzztKkSZP0zW9+U0uXLm1R44gRI/Tcc89Jkj755BNNnjxZvXv31nnnnac1a9aEj6uvr9fUqVPVq1cvjRkzRp9++ulJr7uxsVE333yz0tPTlZqaqtGjR6uurq7VcbW1tRo+fLh+8Ytf6Nprr9UTTzzR4vnhw4frv/7rv1p937FrO/aPggkTJui+++7TpZdeqp49e+pb3/qW6uvrddNNN6lXr14aPXq0qqqqwt+/YMECZWdnq1evXho1apRee+218HNHjhzR3LlzlZaWpiFDhuihhx4KfxIoRfc7D53MIu4NHDjQbtiwIfx1MBi0I0eOtA8++KBtamqyn376qT377LPtSy+91Or4Ux37ySef2KysLFtTU2OttXbHjh12+/btNhAI2OHDh9u77rrLHjx40B45csS+9tpr1lprm5ub7eDBg+3Pf/5z29TUZDdu3Gh79uxpP/nkk/C5hw4daj///HNbX19vL730UvvTn/40orpPdN0jRoywn3/+uT18+HCbriXSmo+9X5Lstm3bwjXMnTs3XP+J/lsc/3Uk5xk9erStqamx9fX19vzzz7e/+tWvTvrfvU+fPvadd95p8djhw4dtbm6uHTx4cIvHm5ubbXp6ut2/f/8J6zwmOzvb/vKXv2zx2Pe//3179913n7QOAJ1j/fr11uv1Wr/f3+q5/Px8m5eXZ6219oEHHrA+n88+++yztrm52f7iF7+wOTk5trm5+ZRj4WOPPWbHjh1rq6urbWNjoy0oKAi/5o4dO6wkO2fOHHvw4EF7+PBhW1paai+99NJwDR999JFNSUmxjY2N9uDBgzYrK8v+x3/8h/X7/fZPf/qTTU9Ptx999JG11trZs2fbb3/72/bgwYP2gw8+sGeeeab9f//v/53wun/961/b6667zh46dMgGAgG7ZcsWu2/fPmuttVdccYX9zW9+Y//2t7/Zc845x/77v/+7tdba1atX2zFjxoRf4/3337e9e/e2TU1NrV7/2LUde1+vuOIKO3jwYLt9+3bb0NBghwwZYs855xy7YcMG6/f77Zw5c+wtt9wS/v4VK1bYPXv2WL/fbx9++GHbr18/e+TIEWuttQsXLrSXX3653bt3r62urrbDhg2zmZmZ1trof+ehcxGgu4CvhqG3337bZmdntzhm8eLF4f/hjz/+VMdu27bN9u3b127YsME2NzeHn3/zzTdtnz59TjiI//GPf7T9+vWzwWAw/FheXp594IEHwuc+PhS++OKLdtCgQRHVfaLrLikpiei6T3YtkdbcHgE6kvOsWLEi/NyPfvQje/vtt5/w2q211ufz2Y8//rjFY3fffbedMGGCNcbYAwcOhB9/5ZVX7KRJk05a5zFjx461P/vZz1o89pOf/MTeeuutJ60DQOdYsWKF7dev3wmfW7hwof3GN75hrT0aoMeOHRt+LhgM2v79+9s//vGPpxwLzz//fPvKK6+Ev961a5f1+XzW7/eHQ+ann34afn7//v02KSnJVlVVWWtbjhVlZWX2sssua/H6BQUFdtGiRTYQCLQav3784x+fNECXlJTY8ePH2z//+c+tnrviiivs3XffbQcOHGhXrlwZfvzIkSM2NTXV/vWvf7XWWvuDH/zAzp8//4Svf6IAffw4eM8999hrrrkm/PXzzz9vR4wYccLXstba1NRU+/7771trbatA/Jvf/CYcoKP9nYfOxRKOLuizzz7Trl27lJqaGv6zePHiE37kdapjc3Nz9dhjj2nRokXKyMhQXl6edu3aperqag0cOFA+n6/V6+3atUvZ2dnyeP7xozdw4EDV1NSEv87Ozm7x3K5du6Ku+0Sv1ZZribTm9hDJefr37x/+e1JSkg4ePHjS10tLS9OBAwfCX7/11lt69tln9Z//+Z9KSUnRBx98EH7uZMs3vqqmpka9e/du8diBAweUmpp62u8F0LH69OmjPXv2nHD9cW1trfr06RP++vix0ePxKCsrS7t27TrlWPjZZ59p+vTp4fFzyJAh8nq9Lcbg4183OTlZ1157rcrKyiRJq1atCt+D89lnn6mysrLFePzMM8/o73//u3bv3q1AINDqd8HJzJkzR1dffbXy8vJ05pln6t5775Xf7w8//8wzzygzM1MzZ84MP9a9e3fNnj1bv/vd7xQKhbRq1SrNmTPn9G/y/+nXr1/47z169Gj19fFj88MPP6whQ4YoJSVFqamp2rdvn/bs2SPpH+P+id6/tvzOQ+chQHdB2dnZOvvss9XQ0BD+c+DAAVVUVER97I033qjXX39dn332mYwxWrhwobKzs/X555+fcBA/88wzVV1d3aKbw+eff67MzMzw19XV1S2eO/PMM6Ou+xhjzNe6lkhrPiYpKUmHDx8Of/3Vm+uOr6ct7000hg8frr/+9a+Sjq4RvPXWW/XrX/9avXv31ogRI1qsg44kQL/77ruqqalp1Urq448/1ogRI9pUI4D2M378eHXr1i28xviYgwcPav369bryyivDjx0/zoZCIe3cuTM81p5sLMzOztb69etbjKGNjY0txqivjnE33HCDVq1apbfeekuNjY2aOHFi+LWuuOKKFq918OBB/epXv1Lfvn3l8/la/S44mYSEBD3wwAP6y1/+ojfffFPr1q3T008/HX5+0aJF6tOnj2688cYWrejmzp2rZ555Rhs3blRSUpLGjx9/+jc5Sq+99poeeughrVmzRl9++aUaGhqUkpIia60kacCAAdq5c2f4+OOvuS2/89B5CNBd0JgxY5ScnKzi4mIdOXJEwWBQH374od59992ojv3f//1fbdq0SU1NTerevbt69Oghj8ejMWPGaMCAASosLNShQ4fU2NioN954Q5I0duxYJSUl6aGHHpLf79fmzZv1wgsvKC8vL3zOJ598Ujt37tTevXv185//XLNnz4667miv+2TXEmnNx1x00UVauXKlgsGgXnrpJf3hD39o8Xy/fv30t7/97YT1RXOeSEyZMiV8/vvvv1+XXnqprr322nCdx24a2rFjh5qamjRkyJATvs7+/fu1bt065eXl6eabb9awYcPCzzU2Nmrr1q2aPHlym2oE0H5SUlL0wAMP6Pvf/75eeukl+f1+VVVVadasWcrKymoxw7p161Y999xzCgQCeuyxx9StWzeNGzfulGPhHXfcoZ/+9Kf67LPPJB1tlVleXn7KmqZMmaLPPvtM999/v2bPnh1+reuuu05//etftWLFCvn9fvn9fr377rv6+OOP5fV6df3112vRokU6fPiw/vKXv6i0tPSk53j11Vf1wQcfKBgMqlevXkpISGjxSV5CQoKeffZZHTp0SPn5+eFJivHjx8vj8egHP/hBVLPP0Thw4IB8Pp/69u2rQCCgf/mXf9H+/fvDz8+aNUtLlizRl19+qZqamhY3XX7d33noWAToLsjr9WrdunV6//33dfbZZ6tPnz76zne+o3379kV1bFNTkwoLC9WnTx/1799fX3zxhZYsWSKv16sXXnhB27dv11lnnaWsrCytXr1akpSYmKgXXnhB69evV58+ffTd735XTz/9tM4///zwOW+88UZdddVVGjRokAYPHhzuYhFN3dFe98muJdKaj3n88cf1wgsvhD+O/Kd/+qcWz//4xz/Wz372M6Wmpurhhx9u8Vw054lEfn6+Kioq9Ic//EHPPvus/vVf/zX83EUXXRSegX7xxRdPOPv8rW99S8nJycrOztbPf/5z3XPPPXrqqadaHPPCCy9owoQJ4ZkrAM669957tXjxYv3whz9Ur169NHbsWGVnZ2vjxo3q1q1b+Lhp06Zp9erVSktL04oVK/Tcc88pISHhlGPhggULNHXqVF111VVKTk7WuHHjVFlZecp6unXrpuuvv16vvPKKbrzxxvDjycnJevnll1VWVqYzzzxT/fv318KFC9XU1CRJWrp0qQ4ePKj+/fvrlltu0a233nrSc/z973/XzJkz1atXLw0ZMkRXXHFFq0CcmJio5557TnV1dbrtttvCITo/P18ffPBBh20sc/XVV+uaa67Rueeeq4EDB6p79+4tlmncf//9ysrK0tlnn61vfOMbmjlzZvi/09f9nYeOZeyxzxGAGJCTk6Pf/va3+sY3vuF0KXHhJz/5iTIyMnTXXXed9JgpU6bozjvvjGgN9FeNHTtWJSUluvDCC79OmQDgiKefflrLli3T66+/7nQpkqRf/epXKisra/XpJWJP67u8AMSNxYsXn/aYCRMmhNclRut0s08AEKsOHz6sX/7yl/rud7/rWA21tbX629/+pvHjx2vbtm165JFHWuybgNjFEg6gi7v33ntb7FYIROull17Seeedp9zcXBUVFTldDnBav//979W3b1/169evxdKSztbc3Kzbb79dycnJmjRpkqZNm+ZooEfkWMIBAGizYDCoc889Vxs2bFBWVpZGjx6tVatW6YILLnC6NADoMMxAAwDa7J133lFubq4GDRqkxMRE5eXlnbYzAwC4nSvXQCd6uquHJ9npMgAgagmpNryJQjyoqalp0VUgKyvrtGvjE003dTdndHRpABC1RntIzbbptMe5MkD38CRrfOp0p8sAgKjtyfmT0yU4YtmyZVq2bJkkySufxvmudrgiAGjt7cDvIzqOJRwAgDbLzMxssXvazp07T7h7ZkFBgbZs2aItW7YowXRr9TwAuIkrZ6AlScHQ6Y8BAHSo0aNHa9u2bdqxY4cyMzNVVlamlStXnvqbrGRD3L8OIAZFODR1SIDOyclRcnKyvF6vfD6ftmzZor1792r27NmqqqpSTk6O1qxZo7S0NFlrtWDBAlVUVCgpKUnLly/XyJEjT30Ca6Xj9rMHADjD5/Np6dKluvrqqxUMBnXbbbdp6NChTpcFAB2qw2agX331VfXp0yf8dVFRka688koVFhaqqKhIRUVFKi4u1vr167Vt2zZt27ZNlZWVmj9/fgSbM1hZAjQAxIQpU6ZEv5Ol5VNEAO7VaUs4ysvLtXnzZknS3LlzNWHCBBUXF6u8vFz5+fkyxmjcuHFqaGhQbW2tBgwYcPIXs2IGGgDcjC0IALhYhwRoY4yuuuoqGWN0++23q6CgQHV1deFQ3L9/f9XV1Uk6cQukmpqaVgH6+Du4m22jQv5AR5QOAAAAnFKHBOjXX39dmZmZ+uKLLzR58mSdf/75LZ43xsgYE9VrFhQUqKCgQJLUy/Tm4z8AAAA4okMC9LEWRhkZGZo+fbreeecd9evXL7w0o7a2VhkZGeFjI2mB1IIxMr6EjigdANAZopxEAYBO4VQXjkOHDikUCik5OVmHDh3Syy+/rPvvv19Tp05VaWmpCgsLVVpaqmnTpkmSpk6dqqVLlyovL0+VlZVKSUk59fpnSUaS8TD4AgAAoPO1e4Cuq6vT9OlHdwkMBAK68cYbdc0112j06NGaNWuWSkpKNHDgQK1Zs0bS0bu3KyoqlJubq6SkJD311FOnP4kxks+9LawBoMsz7OMFwL2Mte67FTrF20fje051ugwAiNqec/5HW7ZscboMR/UyvTXWe5XTZQBAK5XBl7Xf7j3tce6cxjVG8jB7AQCuZFiGByBGRdijwp0BWpK8BGgAAAB0PncGaCMZ1s8BAADAAaRQAAAAIArunIG2kmUjFQAAADjAnQFakkKuax4CAJCOToIwhgOIRU5tpNIprJWCQaerAAAAQBfkzgAtyRKgAcC9WIYHwMVcGqDt0VloAIA7MYYDcDFXBmhrJesPOF0GAAAAuiBXBmhZKxvwO10FAAAAuiB3BmgAgLsZtvIGEIPiuguHMTK+BKerAAC0FbvJAnAxVwZoYyST4MrSAQAA4HIuTaFGxufS0gGgqzOS8bCEA0AMirDDpjtTqDGSh4//AAAA0PncGaAlyUuABgAAQOdzZ4A2kuEGFAAAADiAFAoAAABEgQANAAAARMGdSzisZG2Et0kCAGKLlWwowt0KAKAzxfVGKpLE4AsAAAAHuDdAWwI0ALgWnyICcDF3BmhrpWDQ6SoAAG3FJAgAF3NtgLb+gNNVAAAAoAtyZYC21irU3Ox0GQCAtjJs5Q0gBsX9TYSsnwMAAIADXBugjdfrdAkAgLZiN1kALubKAG2MkfElOF0GAKAtjGQ8LOEAEIMiXODgygAtY2QS3Fk6AAAA3M29KZQbUADApQxLOADEqMjypTsDtDESM9AAAABwgDtTqJEMsxcAAABwgDsDtIzEDSgAAABwgEsDNADAvSy9/AHEqMh2UmEdBAAAABAFl85AWykU4V6LAIDYYiXLGA4gFsX1Vt5Wsnz8BwDuxRgOwMXcGaAlKcjgCwCuZZmBBuBe7gzQ1sr6/U5XAQAAgC7IlQHaWivbTIAGANdiN1kAsSi+10Bb2WDQ6SoAAG3FZlgAXMydAVriBhQA6AC33Xab1q1bp4yMDH344YeSpL1792r27NmqqqpSTk6O1qxZo7S0NFlrtWDBAlVUVCgpKUnLly/XyJEjT38SIxk2wwIQiyKMl64M0MYYeRITnS4DAOLOLbfcojvvvFP5+fnhx4qKinTllVeqsLBQRUVFKioqUnFxsdavX69t27Zp27Ztqqys1Pz581VZWRnBWQwz0ABiVGT/uHdlgJaR5PU6XQUAxJ3LL79cVVVVLR4rLy/X5s2bJUlz587VhAkTVFxcrPLycuXn58sYo3HjxqmhoUG1tbUaMGBA5xcOAJ3InQFaRsbn0tIBwGXq6urCobh///6qq6uTJNXU1Cg7Ozt8XFZWlmpqak4YoJctW6Zly5ZJkvy2UWIJBwAXc2cKNUZKcGfpAOBmxhiZNnTQKCgoUEFBgSSplye9vcsCgE7lzhRqjAxLOACgU/Tr1y+8NKO2tlYZGRmSpMzMTFVXV4eP27lzpzIzM50qEwA6jXvv4jCGP/zhD3/c98eFpk6dqtLSUklSaWmppk2bFn786aeflrVWb7/9tlJSUlj/DKBL6JAZ6GAwqEsuuUSZmZlat26dduzYoby8PNXX12vUqFFasWKFEhMT1dTUpPz8fG3dulXp6elavXq1cnJyIjuJS38RAUAsu+GGG7R582bt2bNHWVlZevDBB1VYWKhZs2appKREAwcO1Jo1ayRJU6ZMUUVFhXJzc5WUlKSnnnoq8hOF2MobgHt1SIB+/PHHNWTIEO3fv1+StHDhQt19993Ky8vTHXfcoZKSEs2fP18lJSVKS0vT9u3bVVZWpoULF2r16tUdURIAIAKrVq064eMbN25s9ZgxRk8++WQbzmLp5Q8gRkX2j/t2D9A7d+7Uiy++qJ/+9Kd69NFHZa3Vpk2btHLlSklHWyAtWrRI8+fPV3l5uRYtWiRJmjlzpu68805ZaxXRDSqW2QsAcCUrWWagAcQip7byvuuuu/TQQw/pwIEDkqT6+nqlpqbK939t5461OZJatkDy+XxKSUlRfX29+vTp0+p1j2+B1Bw6QoAGADdjBhqAi7VrgD62/euoUaPCTffby/EtkFJ8fWWDwXZ9fQBAJ2ISBICLtWuAfuONN/T888+roqJCjY2N2r9/vxYsWKCGhgYFAgH5fL4WbY6OtUDKyspSIBDQvn37lJ4eQX9QayV/oD1LBwB0Jm4EBxCLnFjCsWTJEi1ZskSStHnzZj388MN65pln9O1vf1tr165VXl5eqxZIpaWlGj9+vNauXatJkyZFtv5ZYvYCANzMuLeLKgB0ykYqxcXFysvL03333aeLL75Y8+bNkyTNmzdPc+bMUW5urnr37q2ysrLIXtBa2ebmDqwYANBhjGTYyhtALIrw9gxjrfumcnuZ3hprrnS6DACI2pcjd2jLli1Ol+GoXp50jev2TafLAIBW3m5ar/2h+tMe596tvH0JTlcBAGgDI0W+XA8AOlGkI5MrA7SRZLxep8sAAABAF+TKAC1jZBKZgQYAVzJG8nATIYAYFOGnY64N0EpwZ+kAAABwN3emUGNkfO4sHQAAAO7mzhRqJLEGGgAAAA5wZ4CWYRcrAHAra6VQhM1WAaAzRdjd2aUBWgRoAHApK8mFWxAA6AIiHZncG6ABAC5lpWDQ6SIA4ATifQaa2QsAcCcrWQI0gFgUYbx0Z4C2zF4AgKsxCQLAxdwZoGWlAAEaAFzLQyclADEownjpzgDNx38A4F7GyNCKFEAsCsXzToTWyjY3O10FAKANjCTjZStvALHH+CM7zpUB2oZCsk1NTpcBAGgLY9gMC0BsirBNsisDtCTZEDegAIBreZiBBuBergzQxhh5ElxZOgDAHB3HASDmRDg0uTOFGiPTrZvTVQAA2sRIHgI0gFgUz0s4PEYmMdHpKgAAbWVYwgHAvdwZoGUkHzegAIBr2ZDTFQBAm7kzQBsj+dxZOgAAANzNnSnUiBloAHAra2WDzEADiEE2si5v7gzQMqyfAwA3YzdZAC7mzgBtxB3cAOBS1lpZAjSAGGTjegbaSmIjFQBwJ2tlm5udrgIAWovrAC3LHdwAAABwhDsDtJXEDSgA4E6GXv4AYlRTPG+kYq3k9ztdBQCgDYwxMrQiBRCDTHOcB2hLgAYAd2IGGkCsOhLXAToke6TR6SoAAG1hjJSY4HQVANCaieMAba1k/QGnywAAtAVLOADEqngO0EcTNDcRAoArGUkeNsMCEIMi3GbElQHaeDzyJCU5XQYAoE2M5CVAA4hF8TwD7fHI9OjudBUAgLaK8GNSAIhF7gzQxkisnwMAAIAD3JlCPUbq3s3pKgAAbWKlEPexAIhF8byVtzFSgjtLB4Auz0oKBJ2uAgBaiyw/uzRAS7LcwQ0A7mRDsk1NTlcBAK1F2OXNnQHaSPJyAwoAuFLIyh4+4nQVANBaKJ6XcMhwBzcAuJQNhRRqZAYaQOyxEd6f4dIAbY9upgIAcB3j9cjb8wynywCAVszByJYIuzNAW0lBAjQAuJLXK5PSy+kqAKC1I96IDnNpgLYy/oDTVQBA9Ho4XcCpVVdXKz8/X3V1dTLGqKCgQAsWLNDevXs1e/ZsVVVVKScnR2vWrFFaWpqstVqwYIEqKiqUlJSk5cuXa+TIkac+iderUFrPzrkgAIjG7ngO0CErsX4OgBvF+MSrz+fTI488opEjR+rAgQMaNWqUJk+erOXLl+vKK69UYWGhioqKVFRUpOLiYq1fv17btm3Ttm3bVFlZqfnz56uysvKU57A+j/y9kzrpigAgctYX10s4QtKRRqerAIC4M2DAAA0YMECSlJycrCFDhqimpkbl5eXavHmzJGnu3LmaMGGCiouLVV5ervz8fBljNG7cODU0NKi2tjb8GicS8ho1pSV0xuUAQFRCEXZ5c2eADlnZ5manqwCAuFZVVaX33ntPY8eOVV1dXTgU9+/fX3V1dZKkmpoaZWdnh78nKytLNTU1rQL0smXLtGzZMkmS339IjWn08gcQe2yEydiVAdqGQgoeOOB0GQAQtw4ePKgZM2boscceU69eLdedGGNkomwlWlBQoIKCAklSj/7ZakqjFSmA2BOKbAm0OwO08XjkPYMbUACgI/j9fs2YMUM33XSTrr/+eklSv379wkszamtrlZGRIUnKzMxUdXV1+Ht37typzMzMU76+9UpNaXRSAhB7bDwHaHk8Mj26O10FAMQda63mzZunIUOG6J577gk/PnXqVJWWlqqwsFClpaWaNm1a+PGlS5cqLy9PlZWVSklJOeX6Z+noR6T+tMg2KwCAzuTYEo7GxkZdfvnlampqUiAQ0MyZM/Xggw9qx44dysvLU319vUaNGqUVK1YoMTFRTU1Nys/P19atW5Wenq7Vq1crJyfn1CfxeqRkZqABoL298cYbWrFihYYNG6aLLrpIkrR48WIVFhZq1qxZKikp0cCBA7VmzRpJ0pQpU1RRUaHc3FwlJSXpqaeeOv1JvCF50uikBCAGeR3aibBbt27atGmTevbsKb/fr8suu0zf/OY39eijj+ruu+9WXl6e7rjjDpWUlGj+/PkqKSlRWlqatm/frrKyMi1cuFCrV68+9Uk8HtkzmIEGgPZ22WWXyZ5kp9eNGze2eswYoyeffDKqc/i8IfVOOdSm+gCgI9U5FaCNMerZ8+jssN/vl9/vlzFGmzZt0sqVKyUdbYG0aNEizZ8/X+Xl5Vq0aJEkaebMmbrzzjtlrT3lDSrUeNykAAAfVklEQVTWYxQ8o1t7lw4AHY8GQkr0BnVWry+dLgMAWvnUG4zouA5ZAx0MBjVq1Cht375d3/ve9zR48GClpqbK5zt6umNtjqSWLZB8Pp9SUlJUX1+vPn36tHjNFi2QAodkfdzBDcCFCNDq5gno7DPqnS4DAFp50xPZTtcdEqC9Xq/ef/99NTQ0aPr06frkk0++9mse3wKpV68shbpFeJskAMSSw04X4LxuHr8Gd//C6TIAoJVuHn9Ex3VoF47U1FRNnDhRb731lhoaGhQIBOTz+Vq0OTrWAikrK0uBQED79u1Tenr6KV/Xmsh3igEAxJZEE1BO4h6nywCAVhKNQzPQu3fvVkJCglJTU3XkyBFt2LBBCxcu1MSJE7V27Vrl5eW1aoFUWlqq8ePHa+3atZo0aVJkDfqjbOIPAIgNCSaoM337nC4DAFpJMA6tga6trdXcuXMVDAYVCoU0a9YsXXfddbrggguUl5en++67TxdffLHmzZsnSZo3b57mzJmj3Nxc9e7dW2VlZZGd6CR3iQMAYluCrPpGuM4QADpTgiLLl+0eoIcPH6733nuv1eODBg3SO++80+rx7t2769lnn43qHMZKHj8BGgDcyGs8SvEkOl0GALTiNZ6IjnPnToQhK28jsxcA4EZGUjfjzl8/AOJbpAuEXTmCGWvlaSJAA4AbGZmIZ3kAoDOZCCO0KwO0giF59tELCoALpThdgPOsrII2st2+AKAzWafWQHcKf0D2C1ogAXAhArRCsjpi2VEGQOwJxXWAlujCAQAuFbJWB0IswwMQe0IR5kt3BmivVyall9NVAADawC+j3SF3/voBEN/88bwG2ib6FMju63QZABA9Vi7Ib73aFWAtC4DY47eRLRF2ZYAOJXp0OLOH02UAQPR2OF2A8/zWpxp/mtNlAEArfhtZNHZngE6QDmbSAgmA+yQQoNVsvfq8Od3pMgCglWbrjeg4VwZo65H8PZ2uAgCil+B0ATGgOeTT50d6O10GALTSHOH9Ga4M0KEE6Uh/eogCcJ8kpwuIAc0hr3YdYg00gNjTHIrjGWiTEFJCfzZSAQA3CoQ82n3oDKfLAIBWAqHIlgi7MkB7PSEln9HodBkAgDYIBj06cJAbwQHEnmAwjgN0d19AF/Suc7oMAIjax04XEAtCRoFDrAYHEINCcdwHOsnbrBG9qp0uAwCiRoCWFDIyhyNbZwgAnSqeA3QP06xh3QnQANynjNsIpZDkPRLZLykA6FQR9qhwZYD2mpB6e7mJEIAbEaCNlbxNBGgAscfYyI5zZYBONFbZXvbDBQBXspKHIRxALIrnAO2TUZqnu9NlAADawFjJE3S6CgBoLa5noI2MEowrSwcASDLshQXAxUihAIBOZ1kCDcDFXBmggwrpYIiNVAC4US+nC4gJNrK9CgAgJrkyQAesVBcKOF0GAKANrJGsK3/7AIh3kX465sohLCCjhlCi02UAANrCSMFuEd6pAwCdKZ4DdKNN0CdN/Z0uAwDagE/PrEcKdvu/L4w99ZTP6Z6PxFdf40SveezWe2ta/j2aGk51XFuu46s1negaOvL9+er7cLrj23Ku9vZ1aon2Z7E93/vjX+urf5eiP297/1xE8v9HR74/bX3+VMed5HsjXV7mygB9JJSoPx8e6HQZANAGnzpdgPM8VsEz6GMHIAZ5Ivt0zJ0BOpCgDxoGOF0GALQBAVoeySQRoAHEoHiegQ6EPNpz+AynywCAqNG9TTIeq25nsBUhgNhj4nkGOhDwqv4LWkEBcJ8+ThcQA7zekFJ7Hna6DABoZac3sl2eXBmgjd8ooZYuHADgRgmeoPolHXS6DABo5X89kS0vc2WA9vilpL87XQUAoC0SPUFlJTU4XQYAtJIYzwHaBKWEA/QQBQA3SvQENLDHHqfLAIBWEj2RtRp1ZYD2+K161vidLgMAosbCBSnRBJSdsNfpMgCglUQTzwG6Oaju1fudLgMAonawh9MVOO9ogK53ugwAaCWuA7SCIZn9zOMAcCECtHyy6us94nQZANCKT3Hcxs76/QrU7HK6DACIXj+nC3Cez0i9I9ysAAA6ky/CZv2uDNAmwSdf3/5OlwEAbbDD6QIc55FRsodWpABijyfC7a5cGaDl9cr2ZiMVAHAjj4y6mQSnywCAVuI7QHuMbDcGXwAAAHQ+VwZo6zEK9OTjPwAuxP3PsrLy28g2KwCAzmTj+iZCj1Gom9fpMgAgegRohWR12DY7XQYAtBKK5wAtHQ3RAAD3CVirvUFmoAHEnoCN8wANAGh/jY2Nuvzyy9XU1KRAIKCZM2fqwQcf1I4dO5SXl6f6+nqNGjVKK1asUGJiopqampSfn6+tW7cqPT1dq1evVk5OzinP4ZdHdUEaYgOIPX5F1mPTtQHahCL7FwIAIHLdunXTpk2b1LNnT/n9fl122WX65je/qUcffVR333238vLydMcdd6ikpETz589XSUmJ0tLStH37dpWVlWnhwoVavXr1Kc/RbH36PNC7k64IACLXbOsiOs6VAdqEJE9zyOkyACDuGGPUs2dPSZLf75ff75cxRps2bdLKlSslSXPnztWiRYs0f/58lZeXa9GiRZKkmTNn6s4775S1VsacfJldc8inHU0ZHX4tABCt5tC2iI5zZYCWrEyQAA0AHSEYDGrUqFHavn27vve972nw4MFKTU2Vz3f0V0ZWVpZqamokSTU1NcrOzpYk+Xw+paSkqL6+Xn369GnxmsuWLdOyZcskSfv2BvW3Iy2fB4BY0GQji8auDNAmZOU9EnC6DACIS16vV++//74aGho0ffp0ffLJJ1/7NQsKClRQUCBJ6nVeP1UdSP/arwkA7a0pGMcBWiErz6Emp6sAgOglOV1A5FJTUzVx4kS99dZbamhoUCAQkM/n086dO5WZmSlJyszMVHV1tbKyshQIBLRv3z6lp586HPuDXu3az26yAGKPPxhZm2R3BuhgSDpwyOkqACB6MR6gd+/erYSEBKWmpurIkSPasGGDFi5cqIkTJ2rt2rXKy8tTaWmppk2bJkmaOnWqSktLNX78eK1du1aTJk065fpnSQoFPTr4ZYy/EQC6pFDQoS4c1dXVys/PV11dnYwxKigo0IIFC7R3717Nnj1bVVVVysnJ0Zo1a5SWliZrrRYsWKCKigolJSVp+fLlGjly5KlPYq3UTBN+AGhvtbW1mjt3roLBoEKhkGbNmqXrrrtOF1xwgfLy8nTffffp4osv1rx58yRJ8+bN05w5c5Sbm6vevXurrKzs9CcJGHm/dOf8DYA4F4hsnxFjbYQdoyNUW1ur2tpajRw5UgcOHNCoUaP03//931q+fLl69+6twsJCFRUV6csvv1RxcbEqKir0xBNPqKKiQpWVlVqwYIEqKytPeY5ennSN813dnmUDQKfYO/yv2rJli9NlOKr7mdnK+f/ucboMAGil6jePqnFX9WmPa/cpgAEDBmjAgAGSpOTkZA0ZMkQ1NTUqLy/X5s2bJR1tgTRhwgQVFxervLxc+fn5MsZo3LhxamhoUG1tbfg1TsRIMuxECACu5AlK3b50ugoAaM0T4SapHfoZWlVVld577z2NHTtWdXV14VDcv39/1dUdbVR9fAsk6R/tkb4aoI9vgdRsmuVJTu7I0gEAHcQEpG5f0ooUQOwxETZ567AAffDgQc2YMUOPPfaYevVqebe1Mea0N5l81fEtkFISM6TEhHarFQDQeTxBq+5fRjjNAwCdyBOMbGVzhwRov9+vGTNm6KabbtL1118vSerXr194aUZtba0yMo7uQnWsBdIxx7dHOinjkbp164jSAQAdzASsuu2lFSmA2GMCDgVoa63mzZunIUOG6J57/nGTyLFWR4WFha1aIC1dulR5eXmqrKxUSkrKKdc/S5I8RurGDDQAuJEJhOTdSytSALHHBCJbXtbuAfqNN97QihUrNGzYMF100UWSpMWLF6uwsFCzZs1SSUmJBg4cqDVr1kiSpkyZooqKCuXm5iopKUlPPfVUROexnsj69AEAYkwwKO074HQVANBaMLLlZe0eoC+77DKdrDPexo0bWz1mjNGTTz4Z3UmMJC9dOADAjWwwqFDDPqfLAIBWrFMBunMYKcqbEAEAscJGPMsDAJ3LwZsIO5y1UogWSADgRsbjkSeJrbwBxB5z0KGtvDsN+RkA3Ml4pB7dna4CAFo7FM8B2loZf4SdrgEglvRwuoAYYIxMAp2UAMSgCJcIuzZAq7nZ6SoAAG1hjOTzOl0FALQW1wE6ZKVGmvADgGtxIzgAF3NngLZWNsASDgAAAHQ+dwboUEj20BGnqwAAtNVJ9gsAADdwZYC21irU1Oh0GQCAtrBWCtAHGkAMivAf964M0DJGxscd3ADgTmykAiBWxXGANsbIQw9RAHAna2X9fqerAIDW4noG2uOR6d7N6SoAAG1hJXEjOIBYFOHtGe4M0MZINOEHAHeyVraZGWgAMSiuZ6AlyRPZVosAgNhibUiWzbAAxCBrQxEd584AbYzkc2fpANDlWdHLH0Bsiu8lHJI87GIFAK5kJMMkCIBYFOG/7d05glkd3c4bAOA6RoYADSAmmUBkE7SMYACAzmWM5PU6XQUAtGbiOkBbKUQTfgBwJSMZAjSAWBThCmF3BmhrJT83oACAOxnuYwEQo+J5BtpKCkXWZgQAEIMMrUgBuJdLA7SVbaKHKAAAADqfSwN0SLapyekqAABtFeFmBQAQi1wZoG3IKtRIgAYAd7K0IgUQo+J9K29mLwDAnaxkLQEaQAyK550IjTHydOvudBkAgLYK0ooUgHu5MkDLGJnEBKerAAC0gbVWlgANIAZF+umYOwO0x8gkJjpdBQCgTSwz0ABiVDwHaBnJSw9RAHAlK2agAcSmeF4DLSOJbWABwL24iRCAi7kzQMtIHmagAcC1PEyCAIhBEX445tIADQBwLWNk+BQRQCwKmYgOI0ADADqfJ7JfUgAQi9wboFk/BwCuZHS0nz8AxJpIRyZ3BmhrpUDA6SoAAG1huI8FQIyK8B/37gzQEjPQAAAAcIQ7A7S1sn5moAEAAND53Bugm5udrgIAAABdkCsDtLVWttnvdBkAgLawVgqFnK4CAFqLcImwKwO0rGUbWABwKaujEyEAEGsiHZncGaAlGXqIAoB7hQjQANzLlQHaeIxMYqLTZQAA2sRKliUcAGJRPC/hENvAAkBHCgaDuuSSS5SZmal169Zpx44dysvLU319vUaNGqUVK1YoMTFRTU1Nys/P19atW5Wenq7Vq1crJyfn1C9uxTI8ALEpwg/H3BmgjZF87iwdANzg8ccf15AhQ7R//35J0sKFC3X33XcrLy9Pd9xxh0pKSjR//nyVlJQoLS1N27dvV1lZmRYuXKjVq1ef/gSsgQbgYu5MoUbMQANAB9m5c6defPFF/fSnP9Wjjz4qa602bdqklStXSpLmzp2rRYsWaf78+SovL9eiRYskSTNnztSdd94pay1bdQOIa+4M0DKSl21gAaAj3HXXXXrooYd04MABSVJ9fb1SU1Pl+79P/rKyslRTUyNJqqmpUXZ2tiTJ5/MpJSVF9fX16tOnT4vXXLZsmZYtWyZJ8qtJ8jAJAiAGRbi6zKUBWhHvVQ4AiNy6deuUkZGhUaNGafPmze32ugUFBSooKJAk9fL0ppMSgNgU4f3N7g3QAIB298Ybb+j5559XRUWFGhsbtX//fi1YsEANDQ0KBALy+XzauXOnMjMzJUmZmZmqrq5WVlaWAoGA9u3bp/T09NOcxUiGTxEBxKLI/nHPCAYACFuyZIl27typqqoqlZWVadKkSXrmmWc0ceJErV27VpJUWlqqadOmSZKmTp2q0tJSSdLatWs1adIk1j8DiHvtPgN92223hT8C/PDDDyVJe/fu1ezZs1VVVaWcnBytWbNGaWlpstZqwYIFqqioUFJSkpYvX66RI0dGdiK2gQWATlNcXKy8vDzdd999uvjiizVv3jxJ0rx58zRnzhzl5uaqd+/eKisri+wFWcIBwMWMbef9VP/4xz+qZ8+eys/PDwfoe++9V71791ZhYaGKior05Zdfqri4WBUVFXriiSdUUVGhyspKLViwQJWVlac9R0pCX12aOqM9ywaATrF74BZt2bLF6TIc1cuTrnHdvul0GQDQyttN67U/VH/a49p9Bvryyy9XVVVVi8fKy8vDN6PMnTtXEyZMUHFxscrLy5Wfny9jjMaNG6eGhgbV1tZqwIABpz4JTfgBAADgkE65ibCuri4civv376+6ujpJLdsfSf9ojXSiAH18C6Tm0BEpEOiEygEAAICWOr0LhzGmTTeYHN8CKcWbzgw0ALhZiJ0IAbhXpwTofv36hZdm1NbWKiMjQ9I/2h8dc3xrpFOxISvb3Nxh9QIAAAAn0ykB+libo8LCwlbtj5YuXaq8vDxVVlYqJSXl9Ouf/w8z0ADgVlaydFICEIsi+3Ss3QP0DTfcoM2bN2vPnj3KysrSgw8+qMLCQs2aNUslJSUaOHCg1qxZI0maMmWKKioqlJubq6SkJD311FORncQYGV9Ce5cOAOgM9ugniQAQcyIcmtq9jV1nSPGka1y3KU6XAQBRqx/6MW3sTG+N9XzD6TIAoJXK0Cvab/ee9jh3buVtjEyCO0sHAEhy39wNAIS5M4UaI/ncWToAAADczZ0p1EjG63W6CgBAW7WhnSkAdLgIPxxzZ4AGALib8ThdAQC0mUsDtJE8zF4AgCsZyTCGA4hFEXbYZAoAAAAAiIJLZ6ABAO5lWMIBIEZF9umYSwO0lWjCDwAAAAe4M0BbtvIGAACAM1waoK0UCDhdBQAAALogdwZoSTYU4W2SAIAYYyXLGA4gFkW2RNiVAdpaK9vsd7oMAAAAdEGuDNCyVjZAgAYAV7KS5UZwALEo7ncipAUSALgXSzgAuJg7A7QxMl6v01UAANrKMgMNwL1cGaCNkUyCK0sHAACAy7k0hRoZn0tLBwAAgKu5M4UaI3lYAw0ArmUi2y4XADpV3N9E6CVAA4BrcSM4ABdzZ4A2kmHwBQB3MpLxMAMNIAZF2CCIFAoAAABEgQANAAAARMGdSzisZGnCDwAAAAe4M0BLEtvAAgAAwAHuDdDsYgUAAAAHuDNAWysFg05XAQAAgC7ItQHa+gNOVwEAaAsrWZbhAYhF8byRirVWNuB3ugwAQFtxIzgAF3NlgJYkyxIOAAAAOMC1AZptYAHAxbgRHICLuTJAG2PkSXBl6QAAAHA5d6ZQYySfO0sHAACAu7k2hRoPSzgAwLWMcboCAGgtnrtwyBjJ63W6CgBAW3EfCwAXc2eAliQvgy8AAAA6n3sDNADAnYxkPCzhABCDImxR784AbSTDx38AAABwgDsDtJUsu1gBAADAAe4M0JIUogk/AAAAOp97AzS7WAEAAMAB7gzQ1krBoNNVAADawkqWTxEBxKK47gMtK0uABgAAgANcGaCtlaw/4HQZABCXcnJylJycLK/XK5/Ppy1btmjv3r2aPXu2qqqqlJOTozVr1igtLU3WWi1YsEAVFRVKSkrS8uXLNXLkyNOfhBvBAbiYKwO0LDPQANCRXn31VfXp0yf8dVFRka688koVFhaqqKhIRUVFKi4u1vr167Vt2zZt27ZNlZWVmj9/viorK09/Au5jAeBi7gzQErMXANCJysvLtXnzZknS3LlzNWHCBBUXF6u8vFz5+fkyxmjcuHFqaGhQbW2tBgwY4GzBANCB3BmgjZHxJThdBQDEJWOMrrrqKhljdPvtt6ugoEB1dXXhUNy/f3/V1dVJkmpqapSdnR3+3qysLNXU1LQK0MuWLdOyZcskSX41ddKVAEDHcGWANmIbWADoKK+//royMzP1xRdfaPLkyTr//PNbPG+MkTHRjcEFBQUqKCiQJPUyvaUovx8AOkVcd+EwRvK5s3QAiHWZmZmSpIyMDE2fPl3vvPOO+vXrF16aUVtbq4yMjPCx1dXV4e/duXNn+PsBIF65NoUar9fpEgAg7hw6dEihUEjJyck6dOiQXn75Zd1///2aOnWqSktLVVhYqNLSUk2bNk2SNHXqVC1dulR5eXmqrKxUSkpKZOufjaeDrwQAOk5MBOiXXnpJCxYsUDAY1He+8x0VFhae+huMkQjQANDu6urqNH36dElSIBDQjTfeqGuuuUajR4/WrFmzVFJSooEDB2rNmjWSpClTpqiiokK5ublKSkrSU0895WT5ANApjLXO9hIKBoM699xztWHDBmVlZWn06NFatWqVLrjggpN+T4qvr8anTu/EKgGgfezJ+ZO2bNnidBmO6uXprXG+q50uAwBaeTvwe+0P7T3tcY5/hvbOO+8oNzdXgwYNUmJiovLy8lReXu50WQAAAMAJOb6E40QtkE7UhP/4FkhNvgPak/OnTqvRSbt371bfvn2dLqPTdKXr5Vrj16mut6qqqnOLiUGhpGbtPX+b02V0uK7yc891xpeufp2JVZHNLTseoCN1fAukSy65pMt8BNqVrlXqWtfLtcavrna90Tr//PO7xPvTVX4OuM74wnVGxvElHLRAAgAAgJs4HqBHjx6tbdu2aceOHWpublZZWZmmTp3qdFkAAADACXkXLVq0yMkCPB6PzjnnHN1888164okndPPNN2vGjBmn/b5Ro0Z1QnWxoStdq9S1rpdrjV9d7Xqj1VXeH64zvnCd8eXrXKfjbewAAAAAN3F8CQcAAADgJgRoAAAAIAquCtAvvfSSzjvvPOXm5qqoqMjpctrFbbfdpoyMDF144YXhx/bu3avJkyfrnHPO0eTJk/Xll19Kkqy1+ud//mfl5uZq+PDh+tOf3NULu7q6WhMnTtQFF1ygoUOH6vHHH5cUn9fb2NioMWPGaMSIERo6dKgeeOABSdKOHTs0duxY5ebmavbs2WpubpYkNTU1afbs2crNzdXYsWNd2ys4GAzq4osv1nXXXScpfq83JydHw4YN00UXXaRLLrlEUnz+HHeEeBrHu8L43VXG7a42ZneFsbrDx2nrEoFAwA4aNMh++umntqmpyQ4fPtx+9NFHTpf1tf3hD3+wW7dutUOHDg0/9qMf/cguWbLEWmvtkiVL7L333muttfbFF1+011xzjQ2FQvatt96yY8aMcaTmttq1a5fdunWrtdba/fv323POOcd+9NFHcXm9oVDIHjhwwFprbXNzsx0zZox966237Le//W27atUqa621t99+u/3lL39prbX2ySeftLfffru11tpVq1bZWbNmOVP41/TII4/YG264wV577bXWWhu31ztw4EC7e/fuFo/F489xe4u3cbwrjN9dZdzuamN2VxirO3qcdk2AfvPNN+1VV10V/nrx4sV28eLFDlbUfnbs2NFiAD733HPtrl27rLVHB69zzz3XWmttQUGBXbly5QmPc6OpU6fal19+Oe6v99ChQ/biiy+2b7/9tk1PT7d+v99a2/Jn+qqrrrJvvvmmtdZav99v09PTbSgUcqzmtqiurraTJk2yGzdutNdee60NhUJxe70nGpjj/ee4PcTjON7Vxu+uMG7H+5jdVcbqjh6nXbOE40RbftfU1DhYUcepq6vTgAEDJEn9+/dXXV2dpPh6D6qqqvTee+9p7NixcXu9wWBQF110kTIyMjR58mQNHjxYqamp8vmObgB6/PUcf60+n08pKSmqr693rPa2uOuuu/TQQw/J4zk6rNTX18ft9RpjdNVVV2nUqFFatmyZpK7x/+3X1RXei3j+OYj3cburjNldZazu6HHaNVt5d1XGGBljnC6jXR08eFAzZszQY489pl69erV4Lp6u1+v16v3331dDQ4OmT5+uTz75xOmSOsy6deuUkZGhUaNGafPmzU6X0+Fef/11ZWZm6osvvtDkyZN1/vnnt3g+nn6O0Xbx9HPQFcbtrjBmd6WxuqPHadfMQHelLb/79eun2tpaSVJtba0yMjIkxcd74Pf7NWPGDN100026/vrrJcX39UpSamqqJk6cqLfeeksNDQ0KBAKSWl7P8dcaCAS0b98+paenO1ZztN544w09//zzysnJUV5enjZt2qQFCxbE7fUeu46MjAxNnz5d77zzTtz/HLeHrvBexOPPQVcbt+N5zO5KY3VHj9OuCdBdacvvqVOnqrS0VJJUWlqqadOmhR9/+umnZa3V22+/rZSUlPBHEW5grdW8efM0ZMgQ3XPPPeHH4/F6d+/erYaGBknSkSNHtGHDBg0ZMkQTJ07U2rVrJbW+1mPvwdq1azVp0iRXzegsWbJEO3fuVFVVlcrKyjRp0iQ988wzcXm9hw4d0oEDB8J/f/nll3XhhRfG5c9xe+sK43i8/Rx0lXG7q4zZXWWs7pRxup3WaneKF1980Z5zzjl20KBB9mc/+5nT5bSLvLw8279/f+vz+WxmZqb97W9/a/fs2WMnTZpkc3Nz7ZVXXmnr6+uttUfvEv7ud79rBw0aZC+88EL77rvvOlx9dF577TUryQ4bNsyOGDHCjhgxwr744otxeb1//vOf7UUXXWSHDRtmhw4dah988EFrrbWffvqpHT16tB08eLCdOXOmbWxstNZae+TIETtz5kw7ePBgO3r0aPvpp586Wf7X8uqrr4bv7I7H6/3000/t8OHD7fDhw+0FF1wQHovi8ee4I8TTON4Vxu+uMm53xTE7nsfqzhin2cobAAAAiIJrlnAAAAAAsYAADQAAAESBAA0AAABEgQANAAAARIEADQAAAESBAA0AAABEgQANAAAAROH/B0oqxZ2Zi9QTAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "imsize=512\n",
        "D=1\n",
        "lambda_=0.2\n",
        "Dl=D/lambda_\n",
        "coor = np.asarray([[i,j] for i in range(0,50,1) for j in range(0,50,1)])\n",
        "u,v=caluv(coor)\n",
        "sampling = np.zeros((imsize,imsize), dtype='float')\n",
        "for i in range(0,len(v)):\n",
        "  sampling[imsize//2+u[i],imsize//2+v[i]]=1\n",
        "fig, axes = plt.subplots(figsize=(12,12), nrows=2, ncols=2, facecolor='white')\n",
        "\n",
        "axes[0,0].scatter(u,v)\n",
        "axes[0,0].set_title('Telescope  UV plane (D/$\\lambda$)')\n",
        "\n",
        "axes[0,1].imshow(image)\n",
        "axes[0,1].set_title('Real sky image')\n",
        "psf = np.abs( np.fft.fftshift( np.fft.fft2(sampling)))\n",
        "axes[1,0].pcolor(psf)\n",
        "axes[1,0].set_title('Telescope resolution ($\\lambda$/D)')\n",
        "\n",
        "obsSky = np.abs(np.fft.ifft2(np.fft.fftshift(sampling * fftImg)))\n",
        "axes[1,1].imshow(obsSky)\n",
        "axes[1,1].set_title('Observed sky image')\n",
        "\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 656
        },
        "id": "mKC7LQbt9NbY",
        "outputId": "77a3e72f-68b7-442c-da5d-6b35af3dd741"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "IOPub data rate exceeded.\n",
            "The notebook server will temporarily stop sending output\n",
            "to the client in order to avoid crashing it.\n",
            "To change this limit, set the config variable\n",
            "`--NotebookApp.iopub_data_rate_limit`.\n",
            "\n",
            "Current values:\n",
            "NotebookApp.iopub_data_rate_limit=1000000.0 (bytes/sec)\n",
            "NotebookApp.rate_limit_window=3.0 (secs)\n",
            "\n"
          ]
        },
        {
          "output_type": "error",
          "ename": "IndexError",
          "evalue": "ignored",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-861-476057e826ac>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      7\u001b[0m \u001b[0msampling\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mimsize\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mimsize\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'float'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      8\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mv\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 9\u001b[0;31m   \u001b[0msampling\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mimsize\u001b[0m\u001b[0;34m//\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mimsize\u001b[0m\u001b[0;34m//\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mv\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     10\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxes\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msubplots\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfigsize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m12\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnrows\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mncols\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfacecolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'white'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     11\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;31mIndexError\u001b[0m: only integers, slices (`:`), ellipsis (`...`), numpy.newaxis (`None`) and integer or boolean arrays are valid indices"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}