Worksheets/v1.0/SM_Sage_tour.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# A quick tour of SageMath\n",
    "\n",
    "This worksheet illustrates a few elementary features of SageMath.\n",
    "\n",
    "First we set up the display to have nice LaTeX output:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "%display latex"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "SageMath knows about $\\pi$, $e$ and $i$ (well, it's a mathematical software, isn't it ?):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}0</script></html>"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e^(i*pi) + 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>SageMath can compute numerical values with an arbitrary number of digits:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420199</script></html>"
      ],
      "text/plain": [
       "3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420199"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n(pi, digits=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>Another interesting computation regards the Hermite-Ramanujan constant:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}e^{\\left(\\sqrt{163} \\pi\\right)}</script></html>"
      ],
      "text/plain": [
       "e^(sqrt(163)*pi)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = exp(pi*sqrt(163))\n",
    "a"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>Actually, this number is very close to an integer, as announced by Charles Hermite in 1859 (probably without using SageMath...):</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}2.6253741264076874399999999999925007259719818568889 \\times 10^{17}</script></html>"
      ],
      "text/plain": [
       "2.6253741264076874399999999999925007259719818568889e17"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n(a, digits=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "That's clear if we turn off scientific notation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}262537412640768743.99999999999925007259719818568889</script></html>"
      ],
      "text/plain": [
       "'262537412640768743.99999999999925007259719818568889'"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n(a, digits=50).str(no_sci=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>Beside numerical computations, SageMath can perform symbolic ones, such as taking a derivative:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}2 \\, x \\cos\\left(x^{2}\\right)</script></html>"
      ],
      "text/plain": [
       "2*x*cos(x^2)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f = diff(sin(x^2),x) ; f"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>By default, SageMath displays all results, such as the one above, in LaTeX format. The explicit LaTeX code can be shown:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 \\, x \\cos\\left(x^{2}\\right)\n"
     ]
    }
   ],
   "source": [
    "print(latex(f))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>SageMath can also compute integrals:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\int \\frac{x^{5}}{x^{3} - 2 \\, x + 1}\\,{d x}</script></html>"
      ],
      "text/plain": [
       "integrate(x^5/(x^3 - 2*x + 1), x)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "integrate(x^5/(x^3-2*x+1), x, hold=True) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\frac{1}{3} \\, x^{3} + \\frac{2}{5} \\, \\sqrt{5} \\log\\left(\\frac{2 \\, x - \\sqrt{5} + 1}{2 \\, x + \\sqrt{5} + 1}\\right) + 2 \\, x - \\log\\left(x^{2} + x - 1\\right) + \\log\\left(x - 1\\right)</script></html>"
      ],
      "text/plain": [
       "1/3*x^3 + 2/5*sqrt(5)*log((2*x - sqrt(5) + 1)/(2*x + sqrt(5) + 1)) + 2*x - log(x^2 + x - 1) + log(x - 1)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "integrate(x^5/(x^3-2*x+1), x) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\sqrt{\\pi}</script></html>"
      ],
      "text/plain": [
       "sqrt(pi)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "integrate(exp(-x^2), x, -oo, +oo)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>As in many computer algebra systems, the documentation is provided after a question mark:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "diff?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>What singularizes SageMath is the double question mark: it returns the Python source code ! Indeed SageMath is a <strong>free software</strong> and allows for an easy access to the source code:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "diff??"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>Other examples of computations: Taylor series:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}1 + 1 x + \\frac{1}{2} x^{2} + \\frac{1}{6} x^{3} + \\frac{1}{24} x^{4} + \\frac{1}{120} x^{5} + \\frac{1}{720} x^{6} + \\frac{1}{5040} x^{7} + \\mathcal{O}\\left(x^{8}\\right)</script></html>"
      ],
      "text/plain": [
       "1 + 1*x + 1/2*x^2 + 1/6*x^3 + 1/24*x^4 + 1/120*x^5 + 1/720*x^6 + 1/5040*x^7 + Order(x^8)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "exp(x).series(x==0, 8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>and Riemann's zeta function $\\zeta(s)$ for $s=2$ and $s=3$ (Apéry's constant):</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\frac{1}{6} \\, \\pi^{2}</script></html>"
      ],
      "text/plain": [
       "1/6*pi^2"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "var('n') # declaring n as a symbolic variable\n",
    "sum(1/n^2, n, 1, +oo)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\zeta(3)</script></html>"
      ],
      "text/plain": [
       "zeta(3)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(1/n^3, n, 1, +oo)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>As any decent mathematical software, SageMath has some plotting capabilities:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAw8AAAJFCAYAAACbaMtoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n34dJbppfPHEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "Graphics object consisting of 1 graphics primitive"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(chebyshev_T(8,x),(x,-1,1), axes_labels=['$x$', '$y$'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>To illustrate the advantage of being built atop of <strong>Python</strong>, let us write a loop to draw the first ten Chebyshev polynomials. We simply use standard Python syntax (no need to learn some specific script language!):</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAw8AAAJFCAYAAACbaMtoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "Graphics object consisting of 10 graphics primitives"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = Graphics()\n",
    "for i in range(10):\n",
    "    g += plot(chebyshev_T(i,x), (x,-1,1), color=hue(i/10))\n",
    "show(g, axes_labels=['$x$', '$y$'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>Another example of Python syntax in SageMath: displaying Pascal's triangle with only two instruction lines:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1]\n",
      "[1, 1]\n",
      "[1, 2, 1]\n",
      "[1, 3, 3, 1]\n",
      "[1, 4, 6, 4, 1]\n",
      "[1, 5, 10, 10, 5, 1]\n",
      "[1, 6, 15, 20, 15, 6, 1]\n",
      "[1, 7, 21, 35, 35, 21, 7, 1]\n",
      "[1, 8, 28, 56, 70, 56, 28, 8, 1]\n",
      "[1, 9, 36, 84, 126, 126, 84, 36, 9, 1]\n"
     ]
    }
   ],
   "source": [
    "for n in range(10): \n",
    "    print([binomial(n,p) for p in range(n+1)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>SageMath's graphic capabilities extend to 3-D:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<iframe srcdoc=\"\n",
       "<html>\n",
       "<head>\n",
       "  <style>\n",
       "    * {\n",
       "      margin: 0;\n",
       "      padding: 0;\n",
       "      overflow: hidden;\n",
       "    }\n",
       "    body, html {      \n",
       "      height: 100%;\n",
       "      width: 100%;\n",
       "    }\n",
       "  </style>\n",
       "  <script type=&quot;text/javascript&quot; src=&quot;/nbextensions/jsmol/JSmol.min.js&quot;></script>\n",
       "</head>\n",
       "<body>\n",
       "  <script type=&quot;text/javascript&quot;>\n",
       "    var script = [\n",
       "  'data &quot;model list&quot;',\n",
       "  '10',\n",
       "  'empty',\n",
       "  'Xx -2.61803398875 -3.80251707689 -3.0',\n",
       "  'Xx 0.0 -3.80251707689 -3.0',\n",
       "  'Xx 2.61803398875 -3.80251707689 -3.0',\n",
       "  'Xx 3.61803398875 -2.80251707689 -3.0',\n",
       "  'Xx 3.61803398875 0.0 -3.0',\n",
       "  'Xx 3.61803398875 2.80251707689 -3.0',\n",
       "  'Xx -3.61803398875 -2.80251707689 -3.0',\n",
       "  'Xx -3.61803398875 -2.80251707689 0.0',\n",
       "  'Xx -3.61803398875 -2.80251707689 3.0',\n",
       "  'Xx 5.5 5.5 5.5',\n",
       "  'end &quot;model list&quot;; show data',\n",
       "  'select *',\n",
       "  'wireframe off; spacefill off',\n",
       "  'set labelOffset 0 0',\n",
       "  'background [255,255,255]',\n",
       "  'spin OFF',\n",
       "  'moveto 0 -764 -346 -545 76.39',\n",
       "  'centerAt absolute {0 0 0}',\n",
       "  'zoom 100',\n",
       "  'frank OFF',\n",
       "  'set perspectivedepth ON',\n",
       "  'pmesh obj_1 inline &quot;60',\n",
       "  '0 0 3',\n",
       "  '2 0 2.23607',\n",
       "  '-1 1.73205 2.23607',\n",
       "  '-1 -1.73205 2.23607',\n",
       "  '2.23607 1.73205 1',\n",
       "  '0.381966 2.80252 1',\n",
       "  '-2.61803 1.07047 1',\n",
       "  '-2.61803 -1.07047 1',\n",
       "  '0.381966 -2.80252 1',\n",
       "  '2.23607 -1.73205 1',\n",
       "  '-2.23607 1.73205 -1',\n",
       "  '-0.381966 2.80252 -1',\n",
       "  '2.61803 1.07047 -1',\n",
       "  '2.61803 -1.07047 -1',\n",
       "  '-0.381966 -2.80252 -1',\n",
       "  '-2.23607 -1.73205 -1',\n",
       "  '1 1.73205 -2.23607',\n",
       "  '1 -1.73205 -2.23607',\n",
       "  '-2 0 -2.23607',\n",
       "  '0 0 -3',\n",
       "  '0 0 3',\n",
       "  '2 0 2.23607',\n",
       "  '-1 1.73205 2.23607',\n",
       "  '-1 -1.73205 2.23607',\n",
       "  '2.23607 1.73205 1',\n",
       "  '0.381966 2.80252 1',\n",
       "  '-2.61803 1.07047 1',\n",
       "  '-2.61803 -1.07047 1',\n",
       "  '0.381966 -2.80252 1',\n",
       "  '2.23607 -1.73205 1',\n",
       "  '-2.23607 1.73205 -1',\n",
       "  '-0.381966 2.80252 -1',\n",
       "  '2.61803 1.07047 -1',\n",
       "  '2.61803 -1.07047 -1',\n",
       "  '-0.381966 -2.80252 -1',\n",
       "  '-2.23607 -1.73205 -1',\n",
       "  '1 1.73205 -2.23607',\n",
       "  '1 -1.73205 -2.23607',\n",
       "  '-2 0 -2.23607',\n",
       "  '0 0 -3',\n",
       "  '0 0 3',\n",
       "  '2 0 2.23607',\n",
       "  '-1 1.73205 2.23607',\n",
       "  '-1 -1.73205 2.23607',\n",
       "  '2.23607 1.73205 1',\n",
       "  '0.381966 2.80252 1',\n",
       "  '-2.61803 1.07047 1',\n",
       "  '-2.61803 -1.07047 1',\n",
       "  '0.381966 -2.80252 1',\n",
       "  '2.23607 -1.73205 1',\n",
       "  '-2.23607 1.73205 -1',\n",
       "  '-0.381966 2.80252 -1',\n",
       "  '2.61803 1.07047 -1',\n",
       "  '2.61803 -1.07047 -1',\n",
       "  '-0.381966 -2.80252 -1',\n",
       "  '-2.23607 -1.73205 -1',\n",
       "  '1 1.73205 -2.23607',\n",
       "  '1 -1.73205 -2.23607',\n",
       "  '-2 0 -2.23607',\n",
       "  '0 0 -3',\n",
       "  '36',\n",
       "  '4',\n",
       "  '0',\n",
       "  '1',\n",
       "  '4',\n",
       "  '0',\n",
       "  '4',\n",
       "  '0',\n",
       "  '4',\n",
       "  '5',\n",
       "  '0',\n",
       "  '4',\n",
       "  '0',\n",
       "  '5',\n",
       "  '2',\n",
       "  '0',\n",
       "  '4',\n",
       "  '20',\n",
       "  '22',\n",
       "  '6',\n",
       "  '20',\n",
       "  '4',\n",
       "  '20',\n",
       "  '6',\n",
       "  '7',\n",
       "  '20',\n",
       "  '4',\n",
       "  '20',\n",
       "  '7',\n",
       "  '3',\n",
       "  '20',\n",
       "  '4',\n",
       "  '40',\n",
       "  '23',\n",
       "  '8',\n",
       "  '40',\n",
       "  '4',\n",
       "  '40',\n",
       "  '8',\n",
       "  '9',\n",
       "  '40',\n",
       "  '4',\n",
       "  '40',\n",
       "  '9',\n",
       "  '21',\n",
       "  '40',\n",
       "  '4',\n",
       "  '41',\n",
       "  '29',\n",
       "  '13',\n",
       "  '41',\n",
       "  '4',\n",
       "  '41',\n",
       "  '13',\n",
       "  '12',\n",
       "  '41',\n",
       "  '4',\n",
       "  '41',\n",
       "  '12',\n",
       "  '24',\n",
       "  '41',\n",
       "  '4',\n",
       "  '42',\n",
       "  '25',\n",
       "  '11',\n",
       "  '42',\n",
       "  '4',\n",
       "  '42',\n",
       "  '11',\n",
       "  '10',\n",
       "  '42',\n",
       "  '4',\n",
       "  '42',\n",
       "  '10',\n",
       "  '26',\n",
       "  '42',\n",
       "  '4',\n",
       "  '43',\n",
       "  '27',\n",
       "  '15',\n",
       "  '43',\n",
       "  '4',\n",
       "  '43',\n",
       "  '15',\n",
       "  '14',\n",
       "  '43',\n",
       "  '4',\n",
       "  '43',\n",
       "  '14',\n",
       "  '28',\n",
       "  '43',\n",
       "  '4',\n",
       "  '17',\n",
       "  '34',\n",
       "  '35',\n",
       "  '17',\n",
       "  '4',\n",
       "  '17',\n",
       "  '35',\n",
       "  '18',\n",
       "  '17',\n",
       "  '4',\n",
       "  '17',\n",
       "  '18',\n",
       "  '19',\n",
       "  '17',\n",
       "  '4',\n",
       "  '16',\n",
       "  '32',\n",
       "  '33',\n",
       "  '16',\n",
       "  '4',\n",
       "  '16',\n",
       "  '33',\n",
       "  '37',\n",
       "  '16',\n",
       "  '4',\n",
       "  '16',\n",
       "  '37',\n",
       "  '39',\n",
       "  '16',\n",
       "  '4',\n",
       "  '38',\n",
       "  '30',\n",
       "  '31',\n",
       "  '38',\n",
       "  '4',\n",
       "  '38',\n",
       "  '31',\n",
       "  '36',\n",
       "  '38',\n",
       "  '4',\n",
       "  '38',\n",
       "  '36',\n",
       "  '59',\n",
       "  '38',\n",
       "  '4',\n",
       "  '55',\n",
       "  '47',\n",
       "  '46',\n",
       "  '55',\n",
       "  '4',\n",
       "  '55',\n",
       "  '46',\n",
       "  '50',\n",
       "  '55',\n",
       "  '4',\n",
       "  '55',\n",
       "  '50',\n",
       "  '58',\n",
       "  '55',\n",
       "  '4',\n",
       "  '53',\n",
       "  '49',\n",
       "  '48',\n",
       "  '53',\n",
       "  '4',\n",
       "  '53',\n",
       "  '48',\n",
       "  '54',\n",
       "  '53',\n",
       "  '4',\n",
       "  '53',\n",
       "  '54',\n",
       "  '57',\n",
       "  '53',\n",
       "  '4',\n",
       "  '51',\n",
       "  '45',\n",
       "  '44',\n",
       "  '51',\n",
       "  '4',\n",
       "  '51',\n",
       "  '44',\n",
       "  '52',\n",
       "  '51',\n",
       "  '4',\n",
       "  '51',\n",
       "  '52',\n",
       "  '56',\n",
       "  '51&quot;',\n",
       "  'color pmesh  [102,102,255]',\n",
       "  'draw line_2 diameter 1 curve {-2.61803398875 -2.80251707689 -3.0}  {-2.61803398875 2.80251707689 -3.0} ',\n",
       "  'color $line_2 translucent 0.5 [0,0,0]',\n",
       "  'draw line_3 diameter 1 curve {-2.61803398875 2.80251707689 -3.0}  {2.61803398875 2.80251707689 -3.0} ',\n",
       "  'color $line_3 translucent 0.5 [0,0,0]',\n",
       "  'draw line_4 diameter 1 curve {2.61803398875 2.80251707689 -3.0}  {2.61803398875 -2.80251707689 -3.0} ',\n",
       "  'color $line_4 translucent 0.5 [0,0,0]',\n",
       "  'draw line_5 diameter 1 curve {2.61803398875 -2.80251707689 -3.0}  {-2.61803398875 -2.80251707689 -3.0} ',\n",
       "  'color $line_5 translucent 0.5 [0,0,0]',\n",
       "  'draw line_6 diameter 1 curve {-2.61803398875 -2.80251707689 -3.0}  {-2.61803398875 -2.80251707689 3.0} ',\n",
       "  'color $line_6 translucent 0.5 [0,0,0]',\n",
       "  'draw line_7 diameter 1 curve {-2.61803398875 -2.80251707689 3.0}  {-2.61803398875 2.80251707689 3.0} ',\n",
       "  'color $line_7 translucent 0.5 [0,0,0]',\n",
       "  'draw line_8 diameter 1 curve {-2.61803398875 2.80251707689 3.0}  {2.61803398875 2.80251707689 3.0} ',\n",
       "  'color $line_8 translucent 0.5 [0,0,0]',\n",
       "  'draw line_9 diameter 1 curve {2.61803398875 2.80251707689 3.0}  {2.61803398875 -2.80251707689 3.0} ',\n",
       "  'color $line_9 translucent 0.5 [0,0,0]',\n",
       "  'draw line_10 diameter 1 curve {2.61803398875 -2.80251707689 3.0}  {-2.61803398875 -2.80251707689 3.0} ',\n",
       "  'color $line_10 translucent 0.5 [0,0,0]',\n",
       "  'draw line_11 diameter 1 curve {-2.61803398875 -2.80251707689 3.0} ',\n",
       "  'color $line_11 translucent 0.5 [0,0,0]',\n",
       "  'draw line_12 diameter 1 curve {-2.61803398875 2.80251707689 -3.0}  {-2.61803398875 2.80251707689 3.0} ',\n",
       "  'color $line_12 translucent 0.5 [0,0,0]',\n",
       "  'draw line_13 diameter 1 curve {2.61803398875 -2.80251707689 -3.0}  {2.61803398875 -2.80251707689 3.0} ',\n",
       "  'color $line_13 translucent 0.5 [0,0,0]',\n",
       "  'draw line_14 diameter 1 curve {2.61803398875 2.80251707689 -3.0}  {2.61803398875 2.80251707689 3.0} ',\n",
       "  'color $line_14 translucent 0.5 [0,0,0]',\n",
       "  'select atomno = 1',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;-0.87&quot;',\n",
       "  'select atomno = 2',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;0.00&quot;',\n",
       "  'select atomno = 3',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;0.87&quot;',\n",
       "  'select atomno = 4',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;-0.93&quot;',\n",
       "  'select atomno = 5',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;0.00&quot;',\n",
       "  'select atomno = 6',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;0.93&quot;',\n",
       "  'select atomno = 7',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;-1.0&quot;',\n",
       "  'select atomno = 8',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;0.0&quot;',\n",
       "  'select atomno = 9',\n",
       "  'color atom  [76,76,76]',\n",
       "  'label &quot;1.0&quot;',\n",
       "  'isosurface fullylit; pmesh o* fullylit; set antialiasdisplay on;',\n",
       "].join('\\n');;\n",
       "    var Info = {\n",
       "      width: '100%',\n",
       "      height: '500',\n",
       "      debug: false,\n",
       "      disableInitialConsole: true,   // very slow when used with inline mesh\n",
       "      color: '#3131ff',\n",
       "      addSelectionOptions: false,\n",
       "      use: 'HTML5',\n",
       "      j2sPath: '/nbextensions/jsmol/j2s',\n",
       "      script: script,\n",
       "    };\n",
       "    var jmolApplet0 = Jmol.getApplet('jmolApplet0', Info);\n",
       "  </script>\n",
       "</body>\n",
       "</html>\n",
       "\" \n",
       "        width=\"100%\"\n",
       "        height=\"500\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dodecahedron()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<iframe srcdoc=\"<!DOCTYPE html>\n",
       "<html>\n",
       "<head>\n",
       "<title></title>\n",
       "<meta charset=&quot;utf-8&quot;>\n",
       "<meta name=viewport content=&quot;width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0&quot;>\n",
       "<style>\n",
       "\n",
       "    body { margin: 0px; overflow: hidden; }\n",
       "  \n",
       "</style>\n",
       "</head>\n",
       "\n",
       "<body>\n",
       "\n",
       "<script src=&quot;/nbextensions/threejs/three.min.js&quot;></script>\n",
       "<script src=&quot;/nbextensions/threejs/OrbitControls.js&quot;></script>\n",
       "<script>\n",
       "  if ( !window.THREE ) document.write('\n",
       "<script src=&quot;https://cdn.rawgit.com/mrdoob/three.js/r80/build/three.min.js&quot;><\\/script>\n",
       "<script src=&quot;https://cdn.rawgit.com/mrdoob/three.js/r80/examples/js/controls/OrbitControls.js&quot;><\\/script>\n",
       "            ');\n",
       "</script>\n",
       "        \n",
       "<script>\n",
       "\n",
       "    var scene = new THREE.Scene();\n",
       "\n",
       "    var renderer = new THREE.WebGLRenderer( { antialias: true } );\n",
       "    renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "    renderer.setClearColor( 0xffffff, 1 );\n",
       "    document.body.appendChild( renderer.domElement );\n",
       "\n",
       "    var options = {&quot;aspect_ratio&quot;: [1.0, 1.0, 1.0], &quot;decimals&quot;: 2, &quot;frame&quot;: true, &quot;axes&quot;: false, &quot;axes_labels&quot;: [&quot;x&quot;, &quot;y&quot;, &quot;z&quot;]};\n",
       "\n",
       "    // When animations are supported by the viewer, the value 'false'\n",
       "    // will be replaced with an option set in Python by the user\n",
       "    var animate = false; // options.animate;\n",
       "\n",
       "    var b = [{&quot;x&quot;:-3.14159265359, &quot;y&quot;:-3.14159265359, &quot;z&quot;:-0.999981973787}, {&quot;x&quot;:3.14159265359, &quot;y&quot;:3.14159265359, &quot;z&quot;:0.999981973787}]; // bounds\n",
       "\n",
       "    if ( b[0].x === b[1].x ) {\n",
       "        b[0].x -= 1;\n",
       "        b[1].x += 1;\n",
       "    }\n",
       "    if ( b[0].y === b[1].y ) {\n",
       "        b[0].y -= 1;\n",
       "        b[1].y += 1;\n",
       "    }\n",
       "    if ( b[0].z === b[1].z ) {\n",
       "        b[0].z -= 1;\n",
       "        b[1].z += 1;\n",
       "    }\n",
       "\n",
       "    var rRange = Math.sqrt( Math.pow( b[1].x - b[0].x, 2 )\n",
       "                            + Math.pow( b[1].x - b[0].x, 2 ) );\n",
       "    var xRange = b[1].x - b[0].x;\n",
       "    var yRange = b[1].y - b[0].y;\n",
       "    var zRange = b[1].z - b[0].z;\n",
       "\n",
       "    var ar = options.aspect_ratio;\n",
       "    var a = [ ar[0], ar[1], ar[2] ]; // aspect multipliers\n",
       "    var autoAspect = 2.5;\n",
       "    if ( zRange > autoAspect * rRange && a[2] === 1 ) a[2] = autoAspect * rRange / zRange;\n",
       "\n",
       "    var xMid = ( b[0].x + b[1].x ) / 2;\n",
       "    var yMid = ( b[0].y + b[1].y ) / 2;\n",
       "    var zMid = ( b[0].z + b[1].z ) / 2;\n",
       "\n",
       "    var box = new THREE.Geometry();\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[0].x, a[1]*b[0].y, a[2]*b[0].z ) );\n",
       "    box.vertices.push( new THREE.Vector3( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) );\n",
       "    var boxMesh = new THREE.LineSegments( box );\n",
       "    if ( options.frame ) scene.add( new THREE.BoxHelper( boxMesh, 'black' ) );\n",
       "\n",
       "    if ( options.axes_labels ) {\n",
       "        var d = options.decimals; // decimals\n",
       "        var offsetRatio = 0.1;\n",
       "        var al = options.axes_labels;\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var xm = xMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(xm) ) xm = xm.substr(1);\n",
       "        addLabel( al[0] + '=' + xm, a[0]*xMid, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].x ).toFixed(d), a[0]*b[0].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].x ).toFixed(d), a[0]*b[1].x, a[1]*b[1].y+offset, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[0]*( b[1].x - b[0].x );\n",
       "        var ym = yMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(ym) ) ym = ym.substr(1);\n",
       "        addLabel( al[1] + '=' + ym, a[0]*b[1].x+offset, a[1]*yMid, a[2]*b[0].z );\n",
       "        addLabel( ( b[0].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[0].y, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].y ).toFixed(d), a[0]*b[1].x+offset, a[1]*b[1].y, a[2]*b[0].z );\n",
       "\n",
       "        var offset = offsetRatio * a[1]*( b[1].y - b[0].y );\n",
       "        var zm = zMid.toFixed(d);\n",
       "        if ( /^-0.?0*$/.test(zm) ) zm = zm.substr(1);\n",
       "        addLabel( al[2] + '=' + zm, a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*zMid );\n",
       "        addLabel( ( b[0].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[0].z );\n",
       "        addLabel( ( b[1].z ).toFixed(d), a[0]*b[1].x, a[1]*b[0].y-offset, a[2]*b[1].z );\n",
       "    }\n",
       "\n",
       "    function addLabel( text, x, y, z ) {\n",
       "        var fontsize = 14;\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        canvas.width = 128;\n",
       "        canvas.height = 32; // powers of two\n",
       "\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        context.fillStyle = 'black';\n",
       "        context.font = fontsize + 'px monospace';\n",
       "        context.textAlign = 'center';\n",
       "        context.textBaseline = 'middle';\n",
       "        context.fillText( text, .5*canvas.width, .5*canvas.height );\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var sprite = new THREE.Sprite( new THREE.SpriteMaterial( { map: texture } ) );\n",
       "        sprite.position.set( x, y, z );\n",
       "        sprite.scale.set( 1, .25 ); // ratio of width to height\n",
       "        scene.add( sprite );\n",
       "    }\n",
       "\n",
       "    if ( options.axes ) scene.add( new THREE.AxisHelper( Math.min( a[0]*b[1].x, a[1]*b[1].y, a[2]*b[1].z ) ) );\n",
       "\n",
       "    var camera = new THREE.PerspectiveCamera( 45, window.innerWidth / window.innerHeight, 0.1, 1000 );\n",
       "    camera.up.set( 0, 0, 1 );\n",
       "    camera.position.set( a[0]*(xMid+xRange), a[1]*(yMid+yRange), a[2]*(zMid+zRange) );\n",
       "\n",
       "    var lights = [{&quot;x&quot;:-5, &quot;y&quot;:3, &quot;z&quot;:0, &quot;color&quot;:&quot;#7f7f7f&quot;, &quot;parent&quot;:&quot;camera&quot;}];\n",
       "    for ( var i=0 ; i < lights.length ; i++ ) {\n",
       "        var light = new THREE.DirectionalLight( lights[i].color, 1 );\n",
       "        light.position.set( a[0]*lights[i].x, a[1]*lights[i].y, a[2]*lights[i].z );\n",
       "        if ( lights[i].parent === 'camera' ) {\n",
       "            light.target.position.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "            scene.add( light.target );\n",
       "            camera.add( light );\n",
       "        } else scene.add( light );\n",
       "    }\n",
       "    scene.add( camera );\n",
       "\n",
       "    var ambient = {&quot;color&quot;:&quot;#7f7f7f&quot;};\n",
       "    scene.add( new THREE.AmbientLight( ambient.color, 1 ) );\n",
       "\n",
       "    var controls = new THREE.OrbitControls( camera, renderer.domElement );\n",
       "    controls.target.set( a[0]*xMid, a[1]*yMid, a[2]*zMid );\n",
       "    controls.addEventListener( 'change', function() { if ( !animate ) render(); } );\n",
       "\n",
       "    window.addEventListener( 'resize', function() {\n",
       "        \n",
       "        renderer.setSize( window.innerWidth, window.innerHeight );\n",
       "        camera.aspect = window.innerWidth / window.innerHeight;\n",
       "        camera.updateProjectionMatrix();\n",
       "        if ( !animate ) render();\n",
       "        \n",
       "    } );\n",
       "\n",
       "    var texts = [];\n",
       "    for ( var i=0 ; i < texts.length ; i++ )\n",
       "        addLabel( texts[i].text, a[0]*texts[i].x, a[1]*texts[i].y, a[2]*texts[i].z );\n",
       "\n",
       "    var points = [];\n",
       "    for ( var i=0 ; i < points.length ; i++ ) addPoint( points[i] );\n",
       "\n",
       "    function addPoint( json ) {\n",
       "        var geometry = new THREE.Geometry();\n",
       "        var v = json.point;\n",
       "        geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "\n",
       "        var canvas = document.createElement( 'canvas' );\n",
       "        canvas.width = 128;\n",
       "        canvas.height = 128;\n",
       "\n",
       "        var context = canvas.getContext( '2d' );\n",
       "        context.arc( 64, 64, 64, 0, 2 * Math.PI );\n",
       "        context.fillStyle = json.color;\n",
       "        context.fill();\n",
       "\n",
       "        var texture = new THREE.Texture( canvas );\n",
       "        texture.needsUpdate = true;\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var material = new THREE.PointsMaterial( { size: json.size/100, map: texture,\n",
       "                                                   transparent: transparent, opacity: json.opacity,\n",
       "                                                   alphaTest: .1 } );\n",
       "\n",
       "        var c = geometry.center().multiplyScalar( -1 );\n",
       "        var mesh = new THREE.Points( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        scene.add( mesh );\n",
       "    }\n",
       "\n",
       "    var lines = [];\n",
       "    for ( var i=0 ; i < lines.length ; i++ ) addLine( lines[i] );\n",
       "\n",
       "    function addLine( json ) {\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.points.length - 1 ; i++ ) {\n",
       "            var v = json.points[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "            var v = json.points[i+1];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v[0], a[1]*v[1], a[2]*v[2] ) );\n",
       "        }\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var material = new THREE.LineBasicMaterial( { color: json.color, linewidth: json.linewidth,\n",
       "                                                      transparent: transparent, opacity: json.opacity } );\n",
       "\n",
       "        var c = geometry.center().multiplyScalar( -1 );\n",
       "        var mesh = new THREE.LineSegments( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        scene.add( mesh );\n",
       "    }\n",
       "\n",
       "    var surfaces = [{&quot;vertices&quot;:[{&quot;x&quot;:-3.14159,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.430301},{&quot;x&quot;:-3.14159,&quot;y&quot;:-2.98049,&quot;z&quot;:0.0612687},{&quot;x&quot;:-3.14159,&quot;y&quot;:-2.81938,&quot;z&quot;:0.537476},{&quot;x&quot;:-3.14159,&quot;y&quot;:-2.65827,&quot;z&quot;:0.878911},{&quot;x&quot;:-3.14159,&quot;y&quot;:-2.49716,&quot;z&quot;:0.99996},{&quot;x&quot;:-3.14159,&quot;y&quot;:-2.33606,&quot;z&quot;:0.870271},{&quot;x&quot;:-3.14159,&quot;y&quot;:-2.17495,&quot;z&quot;:0.522361},{&quot;x&quot;:-3.14159,&quot;y&quot;:-2.01384,&quot;z&quot;:0.0434705},{&quot;x&quot;:-3.14159,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.446321},{&quot;x&quot;:-3.14159,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.824197},{&quot;x&quot;:-3.14159,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.995407},{&quot;x&quot;:-3.14159,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.91702},{&quot;x&quot;:-3.14159,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.60869},{&quot;x&quot;:-3.14159,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.147733},{&quot;x&quot;:-3.14159,&quot;y&quot;:-0.88609,&quot;z&quot;:0.350269},{&quot;x&quot;:-3.14159,&quot;y&quot;:-0.724983,&quot;z&quot;:0.760441},{&quot;x&quot;:-3.14159,&quot;y&quot;:-0.563876,&quot;z&quot;:0.979933},{&quot;x&quot;:-3.14159,&quot;y&quot;:-0.402768,&quot;z&quot;:0.953708},{&quot;x&quot;:-3.14159,&quot;y&quot;:-0.241661,&quot;z&quot;:0.688342},{&quot;x&quot;:-3.14159,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.250374},{&quot;x&quot;:-3.14159,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.250374},{&quot;x&quot;:-3.14159,&quot;y&quot;:0.241661,&quot;z&quot;:-0.688342},{&quot;x&quot;:-3.14159,&quot;y&quot;:0.402768,&quot;z&quot;:-0.953708},{&quot;x&quot;:-3.14159,&quot;y&quot;:0.563876,&quot;z&quot;:-0.979933},{&quot;x&quot;:-3.14159,&quot;y&quot;:0.724983,&quot;z&quot;:-0.760441},{&quot;x&quot;:-3.14159,&quot;y&quot;:0.88609,&quot;z&quot;:-0.350269},{&quot;x&quot;:-3.14159,&quot;y&quot;:1.0472,&quot;z&quot;:0.147733},{&quot;x&quot;:-3.14159,&quot;y&quot;:1.2083,&quot;z&quot;:0.60869},{&quot;x&quot;:-3.14159,&quot;y&quot;:1.36941,&quot;z&quot;:0.91702},{&quot;x&quot;:-3.14159,&quot;y&quot;:1.53052,&quot;z&quot;:0.995407},{&quot;x&quot;:-3.14159,&quot;y&quot;:1.69163,&quot;z&quot;:0.824197},{&quot;x&quot;:-3.14159,&quot;y&quot;:1.85273,&quot;z&quot;:0.446321},{&quot;x&quot;:-3.14159,&quot;y&quot;:2.01384,&quot;z&quot;:-0.0434705},{&quot;x&quot;:-3.14159,&quot;y&quot;:2.17495,&quot;z&quot;:-0.522361},{&quot;x&quot;:-3.14159,&quot;y&quot;:2.33606,&quot;z&quot;:-0.870271},{&quot;x&quot;:-3.14159,&quot;y&quot;:2.49716,&quot;z&quot;:-0.99996},{&quot;x&quot;:-3.14159,&quot;y&quot;:2.65827,&quot;z&quot;:-0.878911},{&quot;x&quot;:-3.14159,&quot;y&quot;:2.81938,&quot;z&quot;:-0.537476},{&quot;x&quot;:-3.14159,&quot;y&quot;:2.98049,&quot;z&quot;:-0.0612687},{&quot;x&quot;:-3.14159,&quot;y&quot;:3.14159,&quot;z&quot;:0.430301},{&quot;x&quot;:-2.98049,&quot;y&quot;:-3.14159,&quot;z&quot;:0.0612687},{&quot;x&quot;:-2.98049,&quot;y&quot;:-2.98049,&quot;z&quot;:0.515409},{&quot;x&quot;:-2.98049,&quot;y&quot;:-2.81938,&quot;z&quot;:0.852977},{&quot;x&quot;:-2.98049,&quot;y&quot;:-2.65827,&quot;z&quot;:0.997624},{&quot;x&quot;:-2.98049,&quot;y&quot;:-2.49716,&quot;z&quot;:0.916633},{&quot;x&quot;:-2.98049,&quot;y&quot;:-2.33606,&quot;z&quot;:0.628323},{&quot;x&quot;:-2.98049,&quot;y&quot;:-2.17495,&quot;z&quot;:0.197902},{&quot;x&quot;:-2.98049,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.277279},{&quot;x&quot;:-2.98049,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.689746},{&quot;x&quot;:-2.98049,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.946211},{&quot;x&quot;:-2.98049,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.988667},{&quot;x&quot;:-2.98049,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.807511},{&quot;x&quot;:-2.98049,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.443717},{&quot;x&quot;:-2.98049,&quot;y&quot;:-1.0472,&quot;z&quot;:0.0204343},{&quot;x&quot;:-2.98049,&quot;y&quot;:-0.88609,&quot;z&quot;:0.479964},{&quot;x&quot;:-2.98049,&quot;y&quot;:-0.724983,&quot;z&quot;:0.830938},{&quot;x&quot;:-2.98049,&quot;y&quot;:-0.563876,&quot;z&quot;:0.993975},{&quot;x&quot;:-2.98049,&quot;y&quot;:-0.402768,&quot;z&quot;:0.9322},{&quot;x&quot;:-2.98049,&quot;y&quot;:-0.241661,&quot;z&quot;:0.659585},{&quot;x&quot;:-2.98049,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.237789},{&quot;x&quot;:-2.98049,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.237789},{&quot;x&quot;:-2.98049,&quot;y&quot;:0.241661,&quot;z&quot;:-0.659585},{&quot;x&quot;:-2.98049,&quot;y&quot;:0.402768,&quot;z&quot;:-0.9322},{&quot;x&quot;:-2.98049,&quot;y&quot;:0.563876,&quot;z&quot;:-0.993975},{&quot;x&quot;:-2.98049,&quot;y&quot;:0.724983,&quot;z&quot;:-0.830938},{&quot;x&quot;:-2.98049,&quot;y&quot;:0.88609,&quot;z&quot;:-0.479964},{&quot;x&quot;:-2.98049,&quot;y&quot;:1.0472,&quot;z&quot;:-0.0204343},{&quot;x&quot;:-2.98049,&quot;y&quot;:1.2083,&quot;z&quot;:0.443717},{&quot;x&quot;:-2.98049,&quot;y&quot;:1.36941,&quot;z&quot;:0.807511},{&quot;x&quot;:-2.98049,&quot;y&quot;:1.53052,&quot;z&quot;:0.988667},{&quot;x&quot;:-2.98049,&quot;y&quot;:1.69163,&quot;z&quot;:0.946211},{&quot;x&quot;:-2.98049,&quot;y&quot;:1.85273,&quot;z&quot;:0.689746},{&quot;x&quot;:-2.98049,&quot;y&quot;:2.01384,&quot;z&quot;:0.277279},{&quot;x&quot;:-2.98049,&quot;y&quot;:2.17495,&quot;z&quot;:-0.197902},{&quot;x&quot;:-2.98049,&quot;y&quot;:2.33606,&quot;z&quot;:-0.628323},{&quot;x&quot;:-2.98049,&quot;y&quot;:2.49716,&quot;z&quot;:-0.916633},{&quot;x&quot;:-2.98049,&quot;y&quot;:2.65827,&quot;z&quot;:-0.997624},{&quot;x&quot;:-2.98049,&quot;y&quot;:2.81938,&quot;z&quot;:-0.852977},{&quot;x&quot;:-2.98049,&quot;y&quot;:2.98049,&quot;z&quot;:-0.515409},{&quot;x&quot;:-2.98049,&quot;y&quot;:3.14159,&quot;z&quot;:-0.0612687},{&quot;x&quot;:-2.81938,&quot;y&quot;:-3.14159,&quot;z&quot;:0.537476},{&quot;x&quot;:-2.81938,&quot;y&quot;:-2.98049,&quot;z&quot;:0.852977},{&quot;x&quot;:-2.81938,&quot;y&quot;:-2.81938,&quot;z&quot;:0.995499},{&quot;x&quot;:-2.81938,&quot;y&quot;:-2.65827,&quot;z&quot;:0.936139},{&quot;x&quot;:-2.81938,&quot;y&quot;:-2.49716,&quot;z&quot;:0.686934},{&quot;x&quot;:-2.81938,&quot;y&quot;:-2.33606,&quot;z&quot;:0.298423},{&quot;x&quot;:-2.81938,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.150607},{&quot;x&quot;:-2.81938,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.569095},{&quot;x&quot;:-2.81938,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.872173},{&quot;x&quot;:-2.81938,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.998379},{&quot;x&quot;:-2.81938,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.922118},{&quot;x&quot;:-2.81938,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.658857},{&quot;x&quot;:-2.81938,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.261982},{&quot;x&quot;:-2.81938,&quot;y&quot;:-1.0472,&quot;z&quot;:0.188021},{&quot;x&quot;:-2.81938,&quot;y&quot;:-0.88609,&quot;z&quot;:0.599895},{&quot;x&quot;:-2.81938,&quot;y&quot;:-0.724983,&quot;z&quot;:0.890112},{&quot;x&quot;:-2.81938,&quot;y&quot;:-0.563876,&quot;z&quot;:0.99982},{&quot;x&quot;:-2.81938,&quot;y&quot;:-0.402768,&quot;z&quot;:0.906769},{&quot;x&quot;:-2.81938,&quot;y&quot;:-0.241661,&quot;z&quot;:0.629829},{&quot;x&quot;:-2.81938,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.225164},{&quot;x&quot;:-2.81938,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.225164},{&quot;x&quot;:-2.81938,&quot;y&quot;:0.241661,&quot;z&quot;:-0.629829},{&quot;x&quot;:-2.81938,&quot;y&quot;:0.402768,&quot;z&quot;:-0.906769},{&quot;x&quot;:-2.81938,&quot;y&quot;:0.563876,&quot;z&quot;:-0.99982},{&quot;x&quot;:-2.81938,&quot;y&quot;:0.724983,&quot;z&quot;:-0.890112},{&quot;x&quot;:-2.81938,&quot;y&quot;:0.88609,&quot;z&quot;:-0.599895},{&quot;x&quot;:-2.81938,&quot;y&quot;:1.0472,&quot;z&quot;:-0.188021},{&quot;x&quot;:-2.81938,&quot;y&quot;:1.2083,&quot;z&quot;:0.261982},{&quot;x&quot;:-2.81938,&quot;y&quot;:1.36941,&quot;z&quot;:0.658857},{&quot;x&quot;:-2.81938,&quot;y&quot;:1.53052,&quot;z&quot;:0.922118},{&quot;x&quot;:-2.81938,&quot;y&quot;:1.69163,&quot;z&quot;:0.998379},{&quot;x&quot;:-2.81938,&quot;y&quot;:1.85273,&quot;z&quot;:0.872173},{&quot;x&quot;:-2.81938,&quot;y&quot;:2.01384,&quot;z&quot;:0.569095},{&quot;x&quot;:-2.81938,&quot;y&quot;:2.17495,&quot;z&quot;:0.150607},{&quot;x&quot;:-2.81938,&quot;y&quot;:2.33606,&quot;z&quot;:-0.298423},{&quot;x&quot;:-2.81938,&quot;y&quot;:2.49716,&quot;z&quot;:-0.686934},{&quot;x&quot;:-2.81938,&quot;y&quot;:2.65827,&quot;z&quot;:-0.936139},{&quot;x&quot;:-2.81938,&quot;y&quot;:2.81938,&quot;z&quot;:-0.995499},{&quot;x&quot;:-2.81938,&quot;y&quot;:2.98049,&quot;z&quot;:-0.852977},{&quot;x&quot;:-2.81938,&quot;y&quot;:3.14159,&quot;z&quot;:-0.537476},{&quot;x&quot;:-2.65827,&quot;y&quot;:-3.14159,&quot;z&quot;:0.878911},{&quot;x&quot;:-2.65827,&quot;y&quot;:-2.98049,&quot;z&quot;:0.997624},{&quot;x&quot;:-2.65827,&quot;y&quot;:-2.81938,&quot;z&quot;:0.936139},{&quot;x&quot;:-2.65827,&quot;y&quot;:-2.65827,&quot;z&quot;:0.705563},{&quot;x&quot;:-2.65827,&quot;y&quot;:-2.49716,&quot;z&quot;:0.347544},{&quot;x&quot;:-2.65827,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.0732502},{&quot;x&quot;:-2.65827,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.480814},{&quot;x&quot;:-2.65827,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.80153},{&quot;x&quot;:-2.65827,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.977469},{&quot;x&quot;:-2.65827,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.976851},{&quot;x&quot;:-2.65827,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.799788},{&quot;x&quot;:-2.65827,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.478263},{&quot;x&quot;:-2.65827,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.0703506},{&quot;x&quot;:-2.65827,&quot;y&quot;:-1.0472,&quot;z&quot;:0.350269},{&quot;x&quot;:-2.65827,&quot;y&quot;:-0.88609,&quot;z&quot;:0.707621},{&quot;x&quot;:-2.65827,&quot;y&quot;:-0.724983,&quot;z&quot;:0.937157},{&quot;x&quot;:-2.65827,&quot;y&quot;:-0.563876,&quot;z&quot;:0.997419},{&quot;x&quot;:-2.65827,&quot;y&quot;:-0.402768,&quot;z&quot;:0.877521},{&quot;x&quot;:-2.65827,&quot;y&quot;:-0.241661,&quot;z&quot;:0.599119},{&quot;x&quot;:-2.65827,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.212501},{&quot;x&quot;:-2.65827,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.212501},{&quot;x&quot;:-2.65827,&quot;y&quot;:0.241661,&quot;z&quot;:-0.599119},{&quot;x&quot;:-2.65827,&quot;y&quot;:0.402768,&quot;z&quot;:-0.877521},{&quot;x&quot;:-2.65827,&quot;y&quot;:0.563876,&quot;z&quot;:-0.997419},{&quot;x&quot;:-2.65827,&quot;y&quot;:0.724983,&quot;z&quot;:-0.937157},{&quot;x&quot;:-2.65827,&quot;y&quot;:0.88609,&quot;z&quot;:-0.707621},{&quot;x&quot;:-2.65827,&quot;y&quot;:1.0472,&quot;z&quot;:-0.350269},{&quot;x&quot;:-2.65827,&quot;y&quot;:1.2083,&quot;z&quot;:0.0703506},{&quot;x&quot;:-2.65827,&quot;y&quot;:1.36941,&quot;z&quot;:0.478263},{&quot;x&quot;:-2.65827,&quot;y&quot;:1.53052,&quot;z&quot;:0.799788},{&quot;x&quot;:-2.65827,&quot;y&quot;:1.69163,&quot;z&quot;:0.976851},{&quot;x&quot;:-2.65827,&quot;y&quot;:1.85273,&quot;z&quot;:0.977469},{&quot;x&quot;:-2.65827,&quot;y&quot;:2.01384,&quot;z&quot;:0.80153},{&quot;x&quot;:-2.65827,&quot;y&quot;:2.17495,&quot;z&quot;:0.480814},{&quot;x&quot;:-2.65827,&quot;y&quot;:2.33606,&quot;z&quot;:0.0732502},{&quot;x&quot;:-2.65827,&quot;y&quot;:2.49716,&quot;z&quot;:-0.347544},{&quot;x&quot;:-2.65827,&quot;y&quot;:2.65827,&quot;z&quot;:-0.705563},{&quot;x&quot;:-2.65827,&quot;y&quot;:2.81938,&quot;z&quot;:-0.936139},{&quot;x&quot;:-2.65827,&quot;y&quot;:2.98049,&quot;z&quot;:-0.997624},{&quot;x&quot;:-2.65827,&quot;y&quot;:3.14159,&quot;z&quot;:-0.878911},{&quot;x&quot;:-2.49716,&quot;y&quot;:-3.14159,&quot;z&quot;:0.99996},{&quot;x&quot;:-2.49716,&quot;y&quot;:-2.98049,&quot;z&quot;:0.916633},{&quot;x&quot;:-2.49716,&quot;y&quot;:-2.81938,&quot;z&quot;:0.686934},{&quot;x&quot;:-2.49716,&quot;y&quot;:-2.65827,&quot;z&quot;:0.347544},{&quot;x&quot;:-2.49716,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.0473426},{&quot;x&quot;:-2.49716,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.43467},{&quot;x&quot;:-2.49716,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.752588},{&quot;x&quot;:-2.49716,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.95033},{&quot;x&quot;:-2.49716,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.996321},{&quot;x&quot;:-2.49716,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.883216},{&quot;x&quot;:-2.49716,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.629076},{&quot;x&quot;:-2.49716,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.274484},{&quot;x&quot;:-2.49716,&quot;y&quot;:-1.2083,&quot;z&quot;:0.123938},{&quot;x&quot;:-2.49716,&quot;y&quot;:-1.0472,&quot;z&quot;:0.50257},{&quot;x&quot;:-2.49716,&quot;y&quot;:-0.88609,&quot;z&quot;:0.80095},{&quot;x&quot;:-2.49716,&quot;y&quot;:-0.724983,&quot;z&quot;:0.971432},{&quot;x&quot;:-2.49716,&quot;y&quot;:-0.563876,&quot;z&quot;:0.986792},{&quot;x&quot;:-2.49716,&quot;y&quot;:-0.402768,&quot;z&quot;:0.844579},{&quot;x&quot;:-2.49716,&quot;y&quot;:-0.241661,&quot;z&quot;:0.5675},{&quot;x&quot;:-2.49716,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.199802},{&quot;x&quot;:-2.49716,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.199802},{&quot;x&quot;:-2.49716,&quot;y&quot;:0.241661,&quot;z&quot;:-0.5675},{&quot;x&quot;:-2.49716,&quot;y&quot;:0.402768,&quot;z&quot;:-0.844579},{&quot;x&quot;:-2.49716,&quot;y&quot;:0.563876,&quot;z&quot;:-0.986792},{&quot;x&quot;:-2.49716,&quot;y&quot;:0.724983,&quot;z&quot;:-0.971432},{&quot;x&quot;:-2.49716,&quot;y&quot;:0.88609,&quot;z&quot;:-0.80095},{&quot;x&quot;:-2.49716,&quot;y&quot;:1.0472,&quot;z&quot;:-0.50257},{&quot;x&quot;:-2.49716,&quot;y&quot;:1.2083,&quot;z&quot;:-0.123938},{&quot;x&quot;:-2.49716,&quot;y&quot;:1.36941,&quot;z&quot;:0.274484},{&quot;x&quot;:-2.49716,&quot;y&quot;:1.53052,&quot;z&quot;:0.629076},{&quot;x&quot;:-2.49716,&quot;y&quot;:1.69163,&quot;z&quot;:0.883216},{&quot;x&quot;:-2.49716,&quot;y&quot;:1.85273,&quot;z&quot;:0.996321},{&quot;x&quot;:-2.49716,&quot;y&quot;:2.01384,&quot;z&quot;:0.95033},{&quot;x&quot;:-2.49716,&quot;y&quot;:2.17495,&quot;z&quot;:0.752588},{&quot;x&quot;:-2.49716,&quot;y&quot;:2.33606,&quot;z&quot;:0.43467},{&quot;x&quot;:-2.49716,&quot;y&quot;:2.49716,&quot;z&quot;:0.0473426},{&quot;x&quot;:-2.49716,&quot;y&quot;:2.65827,&quot;z&quot;:-0.347544},{&quot;x&quot;:-2.49716,&quot;y&quot;:2.81938,&quot;z&quot;:-0.686934},{&quot;x&quot;:-2.49716,&quot;y&quot;:2.98049,&quot;z&quot;:-0.916633},{&quot;x&quot;:-2.49716,&quot;y&quot;:3.14159,&quot;z&quot;:-0.99996},{&quot;x&quot;:-2.33606,&quot;y&quot;:-3.14159,&quot;z&quot;:0.870271},{&quot;x&quot;:-2.33606,&quot;y&quot;:-2.98049,&quot;z&quot;:0.628323},{&quot;x&quot;:-2.33606,&quot;y&quot;:-2.81938,&quot;z&quot;:0.298423},{&quot;x&quot;:-2.33606,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.0732502},{&quot;x&quot;:-2.33606,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.43467},{&quot;x&quot;:-2.33606,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.735244},{&quot;x&quot;:-2.33606,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.9329},{&quot;x&quot;:-2.33606,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.999968},{&quot;x&quot;:-2.33606,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.927062},{&quot;x&quot;:-2.33606,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.724385},{&quot;x&quot;:-2.33606,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.42031},{&quot;x&quot;:-2.33606,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.0573994},{&quot;x&quot;:-2.33606,&quot;y&quot;:-1.2083,&quot;z&quot;:0.313546},{&quot;x&quot;:-2.33606,&quot;y&quot;:-1.0472,&quot;z&quot;:0.640601},{&quot;x&quot;:-2.33606,&quot;y&quot;:-0.88609,&quot;z&quot;:0.877985},{&quot;x&quot;:-2.33606,&quot;y&quot;:-0.724983,&quot;z&quot;:0.992469},{&quot;x&quot;:-2.33606,&quot;y&quot;:-0.563876,&quot;z&quot;:0.968028},{&quot;x&quot;:-2.33606,&quot;y&quot;:-0.402768,&quot;z&quot;:0.808082},{&quot;x&quot;:-2.33606,&quot;y&quot;:-0.241661,&quot;z&quot;:0.535022},{&quot;x&quot;:-2.33606,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.187069},{&quot;x&quot;:-2.33606,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.187069},{&quot;x&quot;:-2.33606,&quot;y&quot;:0.241661,&quot;z&quot;:-0.535022},{&quot;x&quot;:-2.33606,&quot;y&quot;:0.402768,&quot;z&quot;:-0.808082},{&quot;x&quot;:-2.33606,&quot;y&quot;:0.563876,&quot;z&quot;:-0.968028},{&quot;x&quot;:-2.33606,&quot;y&quot;:0.724983,&quot;z&quot;:-0.992469},{&quot;x&quot;:-2.33606,&quot;y&quot;:0.88609,&quot;z&quot;:-0.877985},{&quot;x&quot;:-2.33606,&quot;y&quot;:1.0472,&quot;z&quot;:-0.640601},{&quot;x&quot;:-2.33606,&quot;y&quot;:1.2083,&quot;z&quot;:-0.313546},{&quot;x&quot;:-2.33606,&quot;y&quot;:1.36941,&quot;z&quot;:0.0573994},{&quot;x&quot;:-2.33606,&quot;y&quot;:1.53052,&quot;z&quot;:0.42031},{&quot;x&quot;:-2.33606,&quot;y&quot;:1.69163,&quot;z&quot;:0.724385},{&quot;x&quot;:-2.33606,&quot;y&quot;:1.85273,&quot;z&quot;:0.927062},{&quot;x&quot;:-2.33606,&quot;y&quot;:2.01384,&quot;z&quot;:0.999968},{&quot;x&quot;:-2.33606,&quot;y&quot;:2.17495,&quot;z&quot;:0.9329},{&quot;x&quot;:-2.33606,&quot;y&quot;:2.33606,&quot;z&quot;:0.735244},{&quot;x&quot;:-2.33606,&quot;y&quot;:2.49716,&quot;z&quot;:0.43467},{&quot;x&quot;:-2.33606,&quot;y&quot;:2.65827,&quot;z&quot;:0.0732502},{&quot;x&quot;:-2.33606,&quot;y&quot;:2.81938,&quot;z&quot;:-0.298423},{&quot;x&quot;:-2.33606,&quot;y&quot;:2.98049,&quot;z&quot;:-0.628323},{&quot;x&quot;:-2.33606,&quot;y&quot;:3.14159,&quot;z&quot;:-0.870271},{&quot;x&quot;:-2.17495,&quot;y&quot;:-3.14159,&quot;z&quot;:0.522361},{&quot;x&quot;:-2.17495,&quot;y&quot;:-2.98049,&quot;z&quot;:0.197902},{&quot;x&quot;:-2.17495,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.150607},{&quot;x&quot;:-2.17495,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.480814},{&quot;x&quot;:-2.17495,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.752588},{&quot;x&quot;:-2.17495,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.9329},{&quot;x&quot;:-2.17495,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.999838},{&quot;x&quot;:-2.17495,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.945266},{&quot;x&quot;:-2.17495,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.775817},{&quot;x&quot;:-2.17495,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.512084},{&quot;x&quot;:-2.17495,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.186117},{&quot;x&quot;:-2.17495,&quot;y&quot;:-1.36941,&quot;z&quot;:0.162468},{&quot;x&quot;:-2.17495,&quot;y&quot;:-1.2083,&quot;z&quot;:0.491309},{&quot;x&quot;:-2.17495,&quot;y&quot;:-1.0472,&quot;z&quot;:0.760441},{&quot;x&quot;:-2.17495,&quot;y&quot;:-0.88609,&quot;z&quot;:0.937157},{&quot;x&quot;:-2.17495,&quot;y&quot;:-0.724983,&quot;z&quot;:0.999982},{&quot;x&quot;:-2.17495,&quot;y&quot;:-0.563876,&quot;z&quot;:0.94128},{&quot;x&quot;:-2.17495,&quot;y&quot;:-0.402768,&quot;z&quot;:0.768184},{&quot;x&quot;:-2.17495,&quot;y&quot;:-0.241661,&quot;z&quot;:0.501732},{&quot;x&quot;:-2.17495,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.174305},{&quot;x&quot;:-2.17495,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.174305},{&quot;x&quot;:-2.17495,&quot;y&quot;:0.241661,&quot;z&quot;:-0.501732},{&quot;x&quot;:-2.17495,&quot;y&quot;:0.402768,&quot;z&quot;:-0.768184},{&quot;x&quot;:-2.17495,&quot;y&quot;:0.563876,&quot;z&quot;:-0.94128},{&quot;x&quot;:-2.17495,&quot;y&quot;:0.724983,&quot;z&quot;:-0.999982},{&quot;x&quot;:-2.17495,&quot;y&quot;:0.88609,&quot;z&quot;:-0.937157},{&quot;x&quot;:-2.17495,&quot;y&quot;:1.0472,&quot;z&quot;:-0.760441},{&quot;x&quot;:-2.17495,&quot;y&quot;:1.2083,&quot;z&quot;:-0.491309},{&quot;x&quot;:-2.17495,&quot;y&quot;:1.36941,&quot;z&quot;:-0.162468},{&quot;x&quot;:-2.17495,&quot;y&quot;:1.53052,&quot;z&quot;:0.186117},{&quot;x&quot;:-2.17495,&quot;y&quot;:1.69163,&quot;z&quot;:0.512084},{&quot;x&quot;:-2.17495,&quot;y&quot;:1.85273,&quot;z&quot;:0.775817},{&quot;x&quot;:-2.17495,&quot;y&quot;:2.01384,&quot;z&quot;:0.945266},{&quot;x&quot;:-2.17495,&quot;y&quot;:2.17495,&quot;z&quot;:0.999838},{&quot;x&quot;:-2.17495,&quot;y&quot;:2.33606,&quot;z&quot;:0.9329},{&quot;x&quot;:-2.17495,&quot;y&quot;:2.49716,&quot;z&quot;:0.752588},{&quot;x&quot;:-2.17495,&quot;y&quot;:2.65827,&quot;z&quot;:0.480814},{&quot;x&quot;:-2.17495,&quot;y&quot;:2.81938,&quot;z&quot;:0.150607},{&quot;x&quot;:-2.17495,&quot;y&quot;:2.98049,&quot;z&quot;:-0.197902},{&quot;x&quot;:-2.17495,&quot;y&quot;:3.14159,&quot;z&quot;:-0.522361},{&quot;x&quot;:-2.01384,&quot;y&quot;:-3.14159,&quot;z&quot;:0.0434705},{&quot;x&quot;:-2.01384,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.277279},{&quot;x&quot;:-2.01384,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.569095},{&quot;x&quot;:-2.01384,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.80153},{&quot;x&quot;:-2.01384,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.95033},{&quot;x&quot;:-2.01384,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.999968},{&quot;x&quot;:-2.01384,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.945266},{&quot;x&quot;:-2.01384,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.791931},{&quot;x&quot;:-2.01384,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.555962},{&quot;x&quot;:-2.01384,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.261982},{&quot;x&quot;:-2.01384,&quot;y&quot;:-1.53052,&quot;z&quot;:0.0593342},{&quot;x&quot;:-2.01384,&quot;y&quot;:-1.36941,&quot;z&quot;:0.374459},{&quot;x&quot;:-2.01384,&quot;y&quot;:-1.2083,&quot;z&quot;:0.650512},{&quot;x&quot;:-2.01384,&quot;y&quot;:-1.0472,&quot;z&quot;:0.858687},{&quot;x&quot;:-2.01384,&quot;y&quot;:-0.88609,&quot;z&quot;:0.977264},{&quot;x&quot;:-2.01384,&quot;y&quot;:-0.724983,&quot;z&quot;:0.993868},{&quot;x&quot;:-2.01384,&quot;y&quot;:-0.563876,&quot;z&quot;:0.906769},{&quot;x&quot;:-2.01384,&quot;y&quot;:-0.402768,&quot;z&quot;:0.725053},{&quot;x&quot;:-2.01384,&quot;y&quot;:-0.241661,&quot;z&quot;:0.467682},{&quot;x&quot;:-2.01384,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.161512},{&quot;x&quot;:-2.01384,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.161512},{&quot;x&quot;:-2.01384,&quot;y&quot;:0.241661,&quot;z&quot;:-0.467682},{&quot;x&quot;:-2.01384,&quot;y&quot;:0.402768,&quot;z&quot;:-0.725053},{&quot;x&quot;:-2.01384,&quot;y&quot;:0.563876,&quot;z&quot;:-0.906769},{&quot;x&quot;:-2.01384,&quot;y&quot;:0.724983,&quot;z&quot;:-0.993868},{&quot;x&quot;:-2.01384,&quot;y&quot;:0.88609,&quot;z&quot;:-0.977264},{&quot;x&quot;:-2.01384,&quot;y&quot;:1.0472,&quot;z&quot;:-0.858687},{&quot;x&quot;:-2.01384,&quot;y&quot;:1.2083,&quot;z&quot;:-0.650512},{&quot;x&quot;:-2.01384,&quot;y&quot;:1.36941,&quot;z&quot;:-0.374459},{&quot;x&quot;:-2.01384,&quot;y&quot;:1.53052,&quot;z&quot;:-0.0593342},{&quot;x&quot;:-2.01384,&quot;y&quot;:1.69163,&quot;z&quot;:0.261982},{&quot;x&quot;:-2.01384,&quot;y&quot;:1.85273,&quot;z&quot;:0.555962},{&quot;x&quot;:-2.01384,&quot;y&quot;:2.01384,&quot;z&quot;:0.791931},{&quot;x&quot;:-2.01384,&quot;y&quot;:2.17495,&quot;z&quot;:0.945266},{&quot;x&quot;:-2.01384,&quot;y&quot;:2.33606,&quot;z&quot;:0.999968},{&quot;x&quot;:-2.01384,&quot;y&quot;:2.49716,&quot;z&quot;:0.95033},{&quot;x&quot;:-2.01384,&quot;y&quot;:2.65827,&quot;z&quot;:0.80153},{&quot;x&quot;:-2.01384,&quot;y&quot;:2.81938,&quot;z&quot;:0.569095},{&quot;x&quot;:-2.01384,&quot;y&quot;:2.98049,&quot;z&quot;:0.277279},{&quot;x&quot;:-2.01384,&quot;y&quot;:3.14159,&quot;z&quot;:-0.0434705},{&quot;x&quot;:-1.85273,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.446321},{&quot;x&quot;:-1.85273,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.689746},{&quot;x&quot;:-1.85273,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.872173},{&quot;x&quot;:-1.85273,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.977469},{&quot;x&quot;:-1.85273,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.996321},{&quot;x&quot;:-1.85273,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.927062},{&quot;x&quot;:-1.85273,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.775817},{&quot;x&quot;:-1.85273,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.555962},{&quot;x&quot;:-1.85273,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.28694},{&quot;x&quot;:-1.85273,&quot;y&quot;:-1.69163,&quot;z&quot;:0.00745785},{&quot;x&quot;:-1.85273,&quot;y&quot;:-1.53052,&quot;z&quot;:0.301196},{&quot;x&quot;:-1.85273,&quot;y&quot;:-1.36941,&quot;z&quot;:0.568298},{&quot;x&quot;:-1.85273,&quot;y&quot;:-1.2083,&quot;z&quot;:0.785142},{&quot;x&quot;:-1.85273,&quot;y&quot;:-1.0472,&quot;z&quot;:0.932551},{&quot;x&quot;:-1.85273,&quot;y&quot;:-0.88609,&quot;z&quot;:0.997488},{&quot;x&quot;:-1.85273,&quot;y&quot;:-0.724983,&quot;z&quot;:0.974212},{&quot;x&quot;:-1.85273,&quot;y&quot;:-0.563876,&quot;z&quot;:0.86478},{&quot;x&quot;:-1.85273,&quot;y&quot;:-0.402768,&quot;z&quot;:0.67887},{&quot;x&quot;:-1.85273,&quot;y&quot;:-0.241661,&quot;z&quot;:0.432924},{&quot;x&quot;:-1.85273,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.148691},{&quot;x&quot;:-1.85273,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.148691},{&quot;x&quot;:-1.85273,&quot;y&quot;:0.241661,&quot;z&quot;:-0.432924},{&quot;x&quot;:-1.85273,&quot;y&quot;:0.402768,&quot;z&quot;:-0.67887},{&quot;x&quot;:-1.85273,&quot;y&quot;:0.563876,&quot;z&quot;:-0.86478},{&quot;x&quot;:-1.85273,&quot;y&quot;:0.724983,&quot;z&quot;:-0.974212},{&quot;x&quot;:-1.85273,&quot;y&quot;:0.88609,&quot;z&quot;:-0.997488},{&quot;x&quot;:-1.85273,&quot;y&quot;:1.0472,&quot;z&quot;:-0.932551},{&quot;x&quot;:-1.85273,&quot;y&quot;:1.2083,&quot;z&quot;:-0.785142},{&quot;x&quot;:-1.85273,&quot;y&quot;:1.36941,&quot;z&quot;:-0.568298},{&quot;x&quot;:-1.85273,&quot;y&quot;:1.53052,&quot;z&quot;:-0.301196},{&quot;x&quot;:-1.85273,&quot;y&quot;:1.69163,&quot;z&quot;:-0.00745785},{&quot;x&quot;:-1.85273,&quot;y&quot;:1.85273,&quot;z&quot;:0.28694},{&quot;x&quot;:-1.85273,&quot;y&quot;:2.01384,&quot;z&quot;:0.555962},{&quot;x&quot;:-1.85273,&quot;y&quot;:2.17495,&quot;z&quot;:0.775817},{&quot;x&quot;:-1.85273,&quot;y&quot;:2.33606,&quot;z&quot;:0.927062},{&quot;x&quot;:-1.85273,&quot;y&quot;:2.49716,&quot;z&quot;:0.996321},{&quot;x&quot;:-1.85273,&quot;y&quot;:2.65827,&quot;z&quot;:0.977469},{&quot;x&quot;:-1.85273,&quot;y&quot;:2.81938,&quot;z&quot;:0.872173},{&quot;x&quot;:-1.85273,&quot;y&quot;:2.98049,&quot;z&quot;:0.689746},{&quot;x&quot;:-1.85273,&quot;y&quot;:3.14159,&quot;z&quot;:0.446321},{&quot;x&quot;:-1.69163,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.824197},{&quot;x&quot;:-1.69163,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.946211},{&quot;x&quot;:-1.69163,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.998379},{&quot;x&quot;:-1.69163,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.976851},{&quot;x&quot;:-1.69163,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.883216},{&quot;x&quot;:-1.69163,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.724385},{&quot;x&quot;:-1.69163,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.512084},{&quot;x&quot;:-1.69163,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.261982},{&quot;x&quot;:-1.69163,&quot;y&quot;:-1.85273,&quot;z&quot;:0.00745785},{&quot;x&quot;:-1.69163,&quot;y&quot;:-1.69163,&quot;z&quot;:0.276347},{&quot;x&quot;:-1.69163,&quot;y&quot;:-1.53052,&quot;z&quot;:0.524838},{&quot;x&quot;:-1.69163,&quot;y&quot;:-1.36941,&quot;z&quot;:0.734587},{&quot;x&quot;:-1.69163,&quot;y&quot;:-1.2083,&quot;z&quot;:0.890112},{&quot;x&quot;:-1.69163,&quot;y&quot;:-1.0472,&quot;z&quot;:0.979933},{&quot;x&quot;:-1.69163,&quot;y&quot;:-0.88609,&quot;z&quot;:0.997419},{&quot;x&quot;:-1.69163,&quot;y&quot;:-0.724983,&quot;z&quot;:0.94128},{&quot;x&quot;:-1.69163,&quot;y&quot;:-0.563876,&quot;z&quot;:0.815659},{&quot;x&quot;:-1.69163,&quot;y&quot;:-0.402768,&quot;z&quot;:0.629829},{&quot;x&quot;:-1.69163,&quot;y&quot;:-0.241661,&quot;z&quot;:0.397509},{&quot;x&quot;:-1.69163,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.135845},{&quot;x&quot;:-1.69163,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.135845},{&quot;x&quot;:-1.69163,&quot;y&quot;:0.241661,&quot;z&quot;:-0.397509},{&quot;x&quot;:-1.69163,&quot;y&quot;:0.402768,&quot;z&quot;:-0.629829},{&quot;x&quot;:-1.69163,&quot;y&quot;:0.563876,&quot;z&quot;:-0.815659},{&quot;x&quot;:-1.69163,&quot;y&quot;:0.724983,&quot;z&quot;:-0.94128},{&quot;x&quot;:-1.69163,&quot;y&quot;:0.88609,&quot;z&quot;:-0.997419},{&quot;x&quot;:-1.69163,&quot;y&quot;:1.0472,&quot;z&quot;:-0.979933},{&quot;x&quot;:-1.69163,&quot;y&quot;:1.2083,&quot;z&quot;:-0.890112},{&quot;x&quot;:-1.69163,&quot;y&quot;:1.36941,&quot;z&quot;:-0.734587},{&quot;x&quot;:-1.69163,&quot;y&quot;:1.53052,&quot;z&quot;:-0.524838},{&quot;x&quot;:-1.69163,&quot;y&quot;:1.69163,&quot;z&quot;:-0.276347},{&quot;x&quot;:-1.69163,&quot;y&quot;:1.85273,&quot;z&quot;:-0.00745785},{&quot;x&quot;:-1.69163,&quot;y&quot;:2.01384,&quot;z&quot;:0.261982},{&quot;x&quot;:-1.69163,&quot;y&quot;:2.17495,&quot;z&quot;:0.512084},{&quot;x&quot;:-1.69163,&quot;y&quot;:2.33606,&quot;z&quot;:0.724385},{&quot;x&quot;:-1.69163,&quot;y&quot;:2.49716,&quot;z&quot;:0.883216},{&quot;x&quot;:-1.69163,&quot;y&quot;:2.65827,&quot;z&quot;:0.976851},{&quot;x&quot;:-1.69163,&quot;y&quot;:2.81938,&quot;z&quot;:0.998379},{&quot;x&quot;:-1.69163,&quot;y&quot;:2.98049,&quot;z&quot;:0.946211},{&quot;x&quot;:-1.69163,&quot;y&quot;:3.14159,&quot;z&quot;:0.824197},{&quot;x&quot;:-1.53052,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.995407},{&quot;x&quot;:-1.53052,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.988667},{&quot;x&quot;:-1.53052,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.922118},{&quot;x&quot;:-1.53052,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.799788},{&quot;x&quot;:-1.53052,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.629076},{&quot;x&quot;:-1.53052,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.42031},{&quot;x&quot;:-1.53052,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.186117},{&quot;x&quot;:-1.53052,&quot;y&quot;:-2.01384,&quot;z&quot;:0.0593342},{&quot;x&quot;:-1.53052,&quot;y&quot;:-1.85273,&quot;z&quot;:0.301196},{&quot;x&quot;:-1.53052,&quot;y&quot;:-1.69163,&quot;z&quot;:0.524838},{&quot;x&quot;:-1.53052,&quot;y&quot;:-1.53052,&quot;z&quot;:0.716731},{&quot;x&quot;:-1.53052,&quot;y&quot;:-1.36941,&quot;z&quot;:0.865266},{&quot;x&quot;:-1.53052,&quot;y&quot;:-1.2083,&quot;z&quot;:0.961458},{&quot;x&quot;:-1.53052,&quot;y&quot;:-1.0472,&quot;z&quot;:0.999489},{&quot;x&quot;:-1.53052,&quot;y&quot;:-0.88609,&quot;z&quot;:0.977058},{&quot;x&quot;:-1.53052,&quot;y&quot;:-0.724983,&quot;z&quot;:0.895521},{&quot;x&quot;:-1.53052,&quot;y&quot;:-0.563876,&quot;z&quot;:0.759811},{&quot;x&quot;:-1.53052,&quot;y&quot;:-0.402768,&quot;z&quot;:0.578138},{&quot;x&quot;:-1.53052,&quot;y&quot;:-0.241661,&quot;z&quot;:0.361491},{&quot;x&quot;:-1.53052,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.122977},{&quot;x&quot;:-1.53052,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.122977},{&quot;x&quot;:-1.53052,&quot;y&quot;:0.241661,&quot;z&quot;:-0.361491},{&quot;x&quot;:-1.53052,&quot;y&quot;:0.402768,&quot;z&quot;:-0.578138},{&quot;x&quot;:-1.53052,&quot;y&quot;:0.563876,&quot;z&quot;:-0.759811},{&quot;x&quot;:-1.53052,&quot;y&quot;:0.724983,&quot;z&quot;:-0.895521},{&quot;x&quot;:-1.53052,&quot;y&quot;:0.88609,&quot;z&quot;:-0.977058},{&quot;x&quot;:-1.53052,&quot;y&quot;:1.0472,&quot;z&quot;:-0.999489},{&quot;x&quot;:-1.53052,&quot;y&quot;:1.2083,&quot;z&quot;:-0.961458},{&quot;x&quot;:-1.53052,&quot;y&quot;:1.36941,&quot;z&quot;:-0.865266},{&quot;x&quot;:-1.53052,&quot;y&quot;:1.53052,&quot;z&quot;:-0.716731},{&quot;x&quot;:-1.53052,&quot;y&quot;:1.69163,&quot;z&quot;:-0.524838},{&quot;x&quot;:-1.53052,&quot;y&quot;:1.85273,&quot;z&quot;:-0.301196},{&quot;x&quot;:-1.53052,&quot;y&quot;:2.01384,&quot;z&quot;:-0.0593342},{&quot;x&quot;:-1.53052,&quot;y&quot;:2.17495,&quot;z&quot;:0.186117},{&quot;x&quot;:-1.53052,&quot;y&quot;:2.33606,&quot;z&quot;:0.42031},{&quot;x&quot;:-1.53052,&quot;y&quot;:2.49716,&quot;z&quot;:0.629076},{&quot;x&quot;:-1.53052,&quot;y&quot;:2.65827,&quot;z&quot;:0.799788},{&quot;x&quot;:-1.53052,&quot;y&quot;:2.81938,&quot;z&quot;:0.922118},{&quot;x&quot;:-1.53052,&quot;y&quot;:2.98049,&quot;z&quot;:0.988667},{&quot;x&quot;:-1.53052,&quot;y&quot;:3.14159,&quot;z&quot;:0.995407},{&quot;x&quot;:-1.36941,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.91702},{&quot;x&quot;:-1.36941,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.807511},{&quot;x&quot;:-1.36941,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.658857},{&quot;x&quot;:-1.36941,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.478263},{&quot;x&quot;:-1.36941,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.274484},{&quot;x&quot;:-1.36941,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.0573994},{&quot;x&quot;:-1.36941,&quot;y&quot;:-2.17495,&quot;z&quot;:0.162468},{&quot;x&quot;:-1.36941,&quot;y&quot;:-2.01384,&quot;z&quot;:0.374459},{&quot;x&quot;:-1.36941,&quot;y&quot;:-1.85273,&quot;z&quot;:0.568298},{&quot;x&quot;:-1.36941,&quot;y&quot;:-1.69163,&quot;z&quot;:0.734587},{&quot;x&quot;:-1.36941,&quot;y&quot;:-1.53052,&quot;z&quot;:0.865266},{&quot;x&quot;:-1.36941,&quot;y&quot;:-1.36941,&quot;z&quot;:0.953999},{&quot;x&quot;:-1.36941,&quot;y&quot;:-1.2083,&quot;z&quot;:0.996485},{&quot;x&quot;:-1.36941,&quot;y&quot;:-1.0472,&quot;z&quot;:0.990664},{&quot;x&quot;:-1.36941,&quot;y&quot;:-0.88609,&quot;z&quot;:0.936819},{&quot;x&quot;:-1.36941,&quot;y&quot;:-0.724983,&quot;z&quot;:0.837559},{&quot;x&quot;:-1.36941,&quot;y&quot;:-0.563876,&quot;z&quot;:0.697697},{&quot;x&quot;:-1.36941,&quot;y&quot;:-0.402768,&quot;z&quot;:0.524013},{&quot;x&quot;:-1.36941,&quot;y&quot;:-0.241661,&quot;z&quot;:0.324926},{&quot;x&quot;:-1.36941,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.110088},{&quot;x&quot;:-1.36941,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.110088},{&quot;x&quot;:-1.36941,&quot;y&quot;:0.241661,&quot;z&quot;:-0.324926},{&quot;x&quot;:-1.36941,&quot;y&quot;:0.402768,&quot;z&quot;:-0.524013},{&quot;x&quot;:-1.36941,&quot;y&quot;:0.563876,&quot;z&quot;:-0.697697},{&quot;x&quot;:-1.36941,&quot;y&quot;:0.724983,&quot;z&quot;:-0.837559},{&quot;x&quot;:-1.36941,&quot;y&quot;:0.88609,&quot;z&quot;:-0.936819},{&quot;x&quot;:-1.36941,&quot;y&quot;:1.0472,&quot;z&quot;:-0.990664},{&quot;x&quot;:-1.36941,&quot;y&quot;:1.2083,&quot;z&quot;:-0.996485},{&quot;x&quot;:-1.36941,&quot;y&quot;:1.36941,&quot;z&quot;:-0.953999},{&quot;x&quot;:-1.36941,&quot;y&quot;:1.53052,&quot;z&quot;:-0.865266},{&quot;x&quot;:-1.36941,&quot;y&quot;:1.69163,&quot;z&quot;:-0.734587},{&quot;x&quot;:-1.36941,&quot;y&quot;:1.85273,&quot;z&quot;:-0.568298},{&quot;x&quot;:-1.36941,&quot;y&quot;:2.01384,&quot;z&quot;:-0.374459},{&quot;x&quot;:-1.36941,&quot;y&quot;:2.17495,&quot;z&quot;:-0.162468},{&quot;x&quot;:-1.36941,&quot;y&quot;:2.33606,&quot;z&quot;:0.0573994},{&quot;x&quot;:-1.36941,&quot;y&quot;:2.49716,&quot;z&quot;:0.274484},{&quot;x&quot;:-1.36941,&quot;y&quot;:2.65827,&quot;z&quot;:0.478263},{&quot;x&quot;:-1.36941,&quot;y&quot;:2.81938,&quot;z&quot;:0.658857},{&quot;x&quot;:-1.36941,&quot;y&quot;:2.98049,&quot;z&quot;:0.807511},{&quot;x&quot;:-1.36941,&quot;y&quot;:3.14159,&quot;z&quot;:0.91702},{&quot;x&quot;:-1.2083,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.60869},{&quot;x&quot;:-1.2083,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.443717},{&quot;x&quot;:-1.2083,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.261982},{&quot;x&quot;:-1.2083,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.0703506},{&quot;x&quot;:-1.2083,&quot;y&quot;:-2.49716,&quot;z&quot;:0.123938},{&quot;x&quot;:-1.2083,&quot;y&quot;:-2.33606,&quot;z&quot;:0.313546},{&quot;x&quot;:-1.2083,&quot;y&quot;:-2.17495,&quot;z&quot;:0.491309},{&quot;x&quot;:-1.2083,&quot;y&quot;:-2.01384,&quot;z&quot;:0.650512},{&quot;x&quot;:-1.2083,&quot;y&quot;:-1.85273,&quot;z&quot;:0.785142},{&quot;x&quot;:-1.2083,&quot;y&quot;:-1.69163,&quot;z&quot;:0.890112},{&quot;x&quot;:-1.2083,&quot;y&quot;:-1.53052,&quot;z&quot;:0.961458},{&quot;x&quot;:-1.2083,&quot;y&quot;:-1.36941,&quot;z&quot;:0.996485},{&quot;x&quot;:-1.2083,&quot;y&quot;:-1.2083,&quot;z&quot;:0.993868},{&quot;x&quot;:-1.2083,&quot;y&quot;:-1.0472,&quot;z&quot;:0.953708},{&quot;x&quot;:-1.2083,&quot;y&quot;:-0.88609,&quot;z&quot;:0.877521},{&quot;x&quot;:-1.2083,&quot;y&quot;:-0.724983,&quot;z&quot;:0.768184},{&quot;x&quot;:-1.2083,&quot;y&quot;:-0.563876,&quot;z&quot;:0.629829},{&quot;x&quot;:-1.2083,&quot;y&quot;:-0.402768,&quot;z&quot;:0.467682},{&quot;x&quot;:-1.2083,&quot;y&quot;:-0.241661,&quot;z&quot;:0.287868},{&quot;x&quot;:-1.2083,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.0971798},{&quot;x&quot;:-1.2083,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.0971798},{&quot;x&quot;:-1.2083,&quot;y&quot;:0.241661,&quot;z&quot;:-0.287868},{&quot;x&quot;:-1.2083,&quot;y&quot;:0.402768,&quot;z&quot;:-0.467682},{&quot;x&quot;:-1.2083,&quot;y&quot;:0.563876,&quot;z&quot;:-0.629829},{&quot;x&quot;:-1.2083,&quot;y&quot;:0.724983,&quot;z&quot;:-0.768184},{&quot;x&quot;:-1.2083,&quot;y&quot;:0.88609,&quot;z&quot;:-0.877521},{&quot;x&quot;:-1.2083,&quot;y&quot;:1.0472,&quot;z&quot;:-0.953708},{&quot;x&quot;:-1.2083,&quot;y&quot;:1.2083,&quot;z&quot;:-0.993868},{&quot;x&quot;:-1.2083,&quot;y&quot;:1.36941,&quot;z&quot;:-0.996485},{&quot;x&quot;:-1.2083,&quot;y&quot;:1.53052,&quot;z&quot;:-0.961458},{&quot;x&quot;:-1.2083,&quot;y&quot;:1.69163,&quot;z&quot;:-0.890112},{&quot;x&quot;:-1.2083,&quot;y&quot;:1.85273,&quot;z&quot;:-0.785142},{&quot;x&quot;:-1.2083,&quot;y&quot;:2.01384,&quot;z&quot;:-0.650512},{&quot;x&quot;:-1.2083,&quot;y&quot;:2.17495,&quot;z&quot;:-0.491309},{&quot;x&quot;:-1.2083,&quot;y&quot;:2.33606,&quot;z&quot;:-0.313546},{&quot;x&quot;:-1.2083,&quot;y&quot;:2.49716,&quot;z&quot;:-0.123938},{&quot;x&quot;:-1.2083,&quot;y&quot;:2.65827,&quot;z&quot;:0.0703506},{&quot;x&quot;:-1.2083,&quot;y&quot;:2.81938,&quot;z&quot;:0.261982},{&quot;x&quot;:-1.2083,&quot;y&quot;:2.98049,&quot;z&quot;:0.443717},{&quot;x&quot;:-1.2083,&quot;y&quot;:3.14159,&quot;z&quot;:0.60869},{&quot;x&quot;:-1.0472,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.147733},{&quot;x&quot;:-1.0472,&quot;y&quot;:-2.98049,&quot;z&quot;:0.0204343},{&quot;x&quot;:-1.0472,&quot;y&quot;:-2.81938,&quot;z&quot;:0.188021},{&quot;x&quot;:-1.0472,&quot;y&quot;:-2.65827,&quot;z&quot;:0.350269},{&quot;x&quot;:-1.0472,&quot;y&quot;:-2.49716,&quot;z&quot;:0.50257},{&quot;x&quot;:-1.0472,&quot;y&quot;:-2.33606,&quot;z&quot;:0.640601},{&quot;x&quot;:-1.0472,&quot;y&quot;:-2.17495,&quot;z&quot;:0.760441},{&quot;x&quot;:-1.0472,&quot;y&quot;:-2.01384,&quot;z&quot;:0.858687},{&quot;x&quot;:-1.0472,&quot;y&quot;:-1.85273,&quot;z&quot;:0.932551},{&quot;x&quot;:-1.0472,&quot;y&quot;:-1.69163,&quot;z&quot;:0.979933},{&quot;x&quot;:-1.0472,&quot;y&quot;:-1.53052,&quot;z&quot;:0.999489},{&quot;x&quot;:-1.0472,&quot;y&quot;:-1.36941,&quot;z&quot;:0.990664},{&quot;x&quot;:-1.0472,&quot;y&quot;:-1.2083,&quot;z&quot;:0.953708},{&quot;x&quot;:-1.0472,&quot;y&quot;:-1.0472,&quot;z&quot;:0.88967},{&quot;x&quot;:-1.0472,&quot;y&quot;:-0.88609,&quot;z&quot;:0.80037},{&quot;x&quot;:-1.0472,&quot;y&quot;:-0.724983,&quot;z&quot;:0.688342},{&quot;x&quot;:-1.0472,&quot;y&quot;:-0.563876,&quot;z&quot;:0.556767},{&quot;x&quot;:-1.0472,&quot;y&quot;:-0.402768,&quot;z&quot;:0.409383},{&quot;x&quot;:-1.0472,&quot;y&quot;:-0.241661,&quot;z&quot;:0.250374},{&quot;x&quot;:-1.0472,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.0842556},{&quot;x&quot;:-1.0472,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.0842556},{&quot;x&quot;:-1.0472,&quot;y&quot;:0.241661,&quot;z&quot;:-0.250374},{&quot;x&quot;:-1.0472,&quot;y&quot;:0.402768,&quot;z&quot;:-0.409383},{&quot;x&quot;:-1.0472,&quot;y&quot;:0.563876,&quot;z&quot;:-0.556767},{&quot;x&quot;:-1.0472,&quot;y&quot;:0.724983,&quot;z&quot;:-0.688342},{&quot;x&quot;:-1.0472,&quot;y&quot;:0.88609,&quot;z&quot;:-0.80037},{&quot;x&quot;:-1.0472,&quot;y&quot;:1.0472,&quot;z&quot;:-0.88967},{&quot;x&quot;:-1.0472,&quot;y&quot;:1.2083,&quot;z&quot;:-0.953708},{&quot;x&quot;:-1.0472,&quot;y&quot;:1.36941,&quot;z&quot;:-0.990664},{&quot;x&quot;:-1.0472,&quot;y&quot;:1.53052,&quot;z&quot;:-0.999489},{&quot;x&quot;:-1.0472,&quot;y&quot;:1.69163,&quot;z&quot;:-0.979933},{&quot;x&quot;:-1.0472,&quot;y&quot;:1.85273,&quot;z&quot;:-0.932551},{&quot;x&quot;:-1.0472,&quot;y&quot;:2.01384,&quot;z&quot;:-0.858687},{&quot;x&quot;:-1.0472,&quot;y&quot;:2.17495,&quot;z&quot;:-0.760441},{&quot;x&quot;:-1.0472,&quot;y&quot;:2.33606,&quot;z&quot;:-0.640601},{&quot;x&quot;:-1.0472,&quot;y&quot;:2.49716,&quot;z&quot;:-0.50257},{&quot;x&quot;:-1.0472,&quot;y&quot;:2.65827,&quot;z&quot;:-0.350269},{&quot;x&quot;:-1.0472,&quot;y&quot;:2.81938,&quot;z&quot;:-0.188021},{&quot;x&quot;:-1.0472,&quot;y&quot;:2.98049,&quot;z&quot;:-0.0204343},{&quot;x&quot;:-1.0472,&quot;y&quot;:3.14159,&quot;z&quot;:0.147733},{&quot;x&quot;:-0.88609,&quot;y&quot;:-3.14159,&quot;z&quot;:0.350269},{&quot;x&quot;:-0.88609,&quot;y&quot;:-2.98049,&quot;z&quot;:0.479964},{&quot;x&quot;:-0.88609,&quot;y&quot;:-2.81938,&quot;z&quot;:0.599895},{&quot;x&quot;:-0.88609,&quot;y&quot;:-2.65827,&quot;z&quot;:0.707621},{&quot;x&quot;:-0.88609,&quot;y&quot;:-2.49716,&quot;z&quot;:0.80095},{&quot;x&quot;:-0.88609,&quot;y&quot;:-2.33606,&quot;z&quot;:0.877985},{&quot;x&quot;:-0.88609,&quot;y&quot;:-2.17495,&quot;z&quot;:0.937157},{&quot;x&quot;:-0.88609,&quot;y&quot;:-2.01384,&quot;z&quot;:0.977264},{&quot;x&quot;:-0.88609,&quot;y&quot;:-1.85273,&quot;z&quot;:0.997488},{&quot;x&quot;:-0.88609,&quot;y&quot;:-1.69163,&quot;z&quot;:0.997419},{&quot;x&quot;:-0.88609,&quot;y&quot;:-1.53052,&quot;z&quot;:0.977058},{&quot;x&quot;:-0.88609,&quot;y&quot;:-1.36941,&quot;z&quot;:0.936819},{&quot;x&quot;:-0.88609,&quot;y&quot;:-1.2083,&quot;z&quot;:0.877521},{&quot;x&quot;:-0.88609,&quot;y&quot;:-1.0472,&quot;z&quot;:0.80037},{&quot;x&quot;:-0.88609,&quot;y&quot;:-0.88609,&quot;z&quot;:0.706935},{&quot;x&quot;:-0.88609,&quot;y&quot;:-0.724983,&quot;z&quot;:0.599119},{&quot;x&quot;:-0.88609,&quot;y&quot;:-0.563876,&quot;z&quot;:0.479114},{&quot;x&quot;:-0.88609,&quot;y&quot;:-0.402768,&quot;z&quot;:0.349361},{&quot;x&quot;:-0.88609,&quot;y&quot;:-0.241661,&quot;z&quot;:0.212501},{&quot;x&quot;:-0.88609,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.0713172},{&quot;x&quot;:-0.88609,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.0713172},{&quot;x&quot;:-0.88609,&quot;y&quot;:0.241661,&quot;z&quot;:-0.212501},{&quot;x&quot;:-0.88609,&quot;y&quot;:0.402768,&quot;z&quot;:-0.349361},{&quot;x&quot;:-0.88609,&quot;y&quot;:0.563876,&quot;z&quot;:-0.479114},{&quot;x&quot;:-0.88609,&quot;y&quot;:0.724983,&quot;z&quot;:-0.599119},{&quot;x&quot;:-0.88609,&quot;y&quot;:0.88609,&quot;z&quot;:-0.706935},{&quot;x&quot;:-0.88609,&quot;y&quot;:1.0472,&quot;z&quot;:-0.80037},{&quot;x&quot;:-0.88609,&quot;y&quot;:1.2083,&quot;z&quot;:-0.877521},{&quot;x&quot;:-0.88609,&quot;y&quot;:1.36941,&quot;z&quot;:-0.936819},{&quot;x&quot;:-0.88609,&quot;y&quot;:1.53052,&quot;z&quot;:-0.977058},{&quot;x&quot;:-0.88609,&quot;y&quot;:1.69163,&quot;z&quot;:-0.997419},{&quot;x&quot;:-0.88609,&quot;y&quot;:1.85273,&quot;z&quot;:-0.997488},{&quot;x&quot;:-0.88609,&quot;y&quot;:2.01384,&quot;z&quot;:-0.977264},{&quot;x&quot;:-0.88609,&quot;y&quot;:2.17495,&quot;z&quot;:-0.937157},{&quot;x&quot;:-0.88609,&quot;y&quot;:2.33606,&quot;z&quot;:-0.877985},{&quot;x&quot;:-0.88609,&quot;y&quot;:2.49716,&quot;z&quot;:-0.80095},{&quot;x&quot;:-0.88609,&quot;y&quot;:2.65827,&quot;z&quot;:-0.707621},{&quot;x&quot;:-0.88609,&quot;y&quot;:2.81938,&quot;z&quot;:-0.599895},{&quot;x&quot;:-0.88609,&quot;y&quot;:2.98049,&quot;z&quot;:-0.479964},{&quot;x&quot;:-0.88609,&quot;y&quot;:3.14159,&quot;z&quot;:-0.350269},{&quot;x&quot;:-0.724983,&quot;y&quot;:-3.14159,&quot;z&quot;:0.760441},{&quot;x&quot;:-0.724983,&quot;y&quot;:-2.98049,&quot;z&quot;:0.830938},{&quot;x&quot;:-0.724983,&quot;y&quot;:-2.81938,&quot;z&quot;:0.890112},{&quot;x&quot;:-0.724983,&quot;y&quot;:-2.65827,&quot;z&quot;:0.937157},{&quot;x&quot;:-0.724983,&quot;y&quot;:-2.49716,&quot;z&quot;:0.971432},{&quot;x&quot;:-0.724983,&quot;y&quot;:-2.33606,&quot;z&quot;:0.992469},{&quot;x&quot;:-0.724983,&quot;y&quot;:-2.17495,&quot;z&quot;:0.999982},{&quot;x&quot;:-0.724983,&quot;y&quot;:-2.01384,&quot;z&quot;:0.993868},{&quot;x&quot;:-0.724983,&quot;y&quot;:-1.85273,&quot;z&quot;:0.974212},{&quot;x&quot;:-0.724983,&quot;y&quot;:-1.69163,&quot;z&quot;:0.94128},{&quot;x&quot;:-0.724983,&quot;y&quot;:-1.53052,&quot;z&quot;:0.895521},{&quot;x&quot;:-0.724983,&quot;y&quot;:-1.36941,&quot;z&quot;:0.837559},{&quot;x&quot;:-0.724983,&quot;y&quot;:-1.2083,&quot;z&quot;:0.768184},{&quot;x&quot;:-0.724983,&quot;y&quot;:-1.0472,&quot;z&quot;:0.688342},{&quot;x&quot;:-0.724983,&quot;y&quot;:-0.88609,&quot;z&quot;:0.599119},{&quot;x&quot;:-0.724983,&quot;y&quot;:-0.724983,&quot;z&quot;:0.501732},{&quot;x&quot;:-0.724983,&quot;y&quot;:-0.563876,&quot;z&quot;:0.397509},{&quot;x&quot;:-0.724983,&quot;y&quot;:-0.402768,&quot;z&quot;:0.287868},{&quot;x&quot;:-0.724983,&quot;y&quot;:-0.241661,&quot;z&quot;:0.174305},{&quot;x&quot;:-0.724983,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.0583668},{&quot;x&quot;:-0.724983,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.0583668},{&quot;x&quot;:-0.724983,&quot;y&quot;:0.241661,&quot;z&quot;:-0.174305},{&quot;x&quot;:-0.724983,&quot;y&quot;:0.402768,&quot;z&quot;:-0.287868},{&quot;x&quot;:-0.724983,&quot;y&quot;:0.563876,&quot;z&quot;:-0.397509},{&quot;x&quot;:-0.724983,&quot;y&quot;:0.724983,&quot;z&quot;:-0.501732},{&quot;x&quot;:-0.724983,&quot;y&quot;:0.88609,&quot;z&quot;:-0.599119},{&quot;x&quot;:-0.724983,&quot;y&quot;:1.0472,&quot;z&quot;:-0.688342},{&quot;x&quot;:-0.724983,&quot;y&quot;:1.2083,&quot;z&quot;:-0.768184},{&quot;x&quot;:-0.724983,&quot;y&quot;:1.36941,&quot;z&quot;:-0.837559},{&quot;x&quot;:-0.724983,&quot;y&quot;:1.53052,&quot;z&quot;:-0.895521},{&quot;x&quot;:-0.724983,&quot;y&quot;:1.69163,&quot;z&quot;:-0.94128},{&quot;x&quot;:-0.724983,&quot;y&quot;:1.85273,&quot;z&quot;:-0.974212},{&quot;x&quot;:-0.724983,&quot;y&quot;:2.01384,&quot;z&quot;:-0.993868},{&quot;x&quot;:-0.724983,&quot;y&quot;:2.17495,&quot;z&quot;:-0.999982},{&quot;x&quot;:-0.724983,&quot;y&quot;:2.33606,&quot;z&quot;:-0.992469},{&quot;x&quot;:-0.724983,&quot;y&quot;:2.49716,&quot;z&quot;:-0.971432},{&quot;x&quot;:-0.724983,&quot;y&quot;:2.65827,&quot;z&quot;:-0.937157},{&quot;x&quot;:-0.724983,&quot;y&quot;:2.81938,&quot;z&quot;:-0.890112},{&quot;x&quot;:-0.724983,&quot;y&quot;:2.98049,&quot;z&quot;:-0.830938},{&quot;x&quot;:-0.724983,&quot;y&quot;:3.14159,&quot;z&quot;:-0.760441},{&quot;x&quot;:-0.563876,&quot;y&quot;:-3.14159,&quot;z&quot;:0.979933},{&quot;x&quot;:-0.563876,&quot;y&quot;:-2.98049,&quot;z&quot;:0.993975},{&quot;x&quot;:-0.563876,&quot;y&quot;:-2.81938,&quot;z&quot;:0.99982},{&quot;x&quot;:-0.563876,&quot;y&quot;:-2.65827,&quot;z&quot;:0.997419},{&quot;x&quot;:-0.563876,&quot;y&quot;:-2.49716,&quot;z&quot;:0.986792},{&quot;x&quot;:-0.563876,&quot;y&quot;:-2.33606,&quot;z&quot;:0.968028},{&quot;x&quot;:-0.563876,&quot;y&quot;:-2.17495,&quot;z&quot;:0.94128},{&quot;x&quot;:-0.563876,&quot;y&quot;:-2.01384,&quot;z&quot;:0.906769},{&quot;x&quot;:-0.563876,&quot;y&quot;:-1.85273,&quot;z&quot;:0.86478},{&quot;x&quot;:-0.563876,&quot;y&quot;:-1.69163,&quot;z&quot;:0.815659},{&quot;x&quot;:-0.563876,&quot;y&quot;:-1.53052,&quot;z&quot;:0.759811},{&quot;x&quot;:-0.563876,&quot;y&quot;:-1.36941,&quot;z&quot;:0.697697},{&quot;x&quot;:-0.563876,&quot;y&quot;:-1.2083,&quot;z&quot;:0.629829},{&quot;x&quot;:-0.563876,&quot;y&quot;:-1.0472,&quot;z&quot;:0.556767},{&quot;x&quot;:-0.563876,&quot;y&quot;:-0.88609,&quot;z&quot;:0.479114},{&quot;x&quot;:-0.563876,&quot;y&quot;:-0.724983,&quot;z&quot;:0.397509},{&quot;x&quot;:-0.563876,&quot;y&quot;:-0.563876,&quot;z&quot;:0.312625},{&quot;x&quot;:-0.563876,&quot;y&quot;:-0.402768,&quot;z&quot;:0.225164},{&quot;x&quot;:-0.563876,&quot;y&quot;:-0.241661,&quot;z&quot;:0.135845},{&quot;x&quot;:-0.563876,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.0454066},{&quot;x&quot;:-0.563876,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.0454066},{&quot;x&quot;:-0.563876,&quot;y&quot;:0.241661,&quot;z&quot;:-0.135845},{&quot;x&quot;:-0.563876,&quot;y&quot;:0.402768,&quot;z&quot;:-0.225164},{&quot;x&quot;:-0.563876,&quot;y&quot;:0.563876,&quot;z&quot;:-0.312625},{&quot;x&quot;:-0.563876,&quot;y&quot;:0.724983,&quot;z&quot;:-0.397509},{&quot;x&quot;:-0.563876,&quot;y&quot;:0.88609,&quot;z&quot;:-0.479114},{&quot;x&quot;:-0.563876,&quot;y&quot;:1.0472,&quot;z&quot;:-0.556767},{&quot;x&quot;:-0.563876,&quot;y&quot;:1.2083,&quot;z&quot;:-0.629829},{&quot;x&quot;:-0.563876,&quot;y&quot;:1.36941,&quot;z&quot;:-0.697697},{&quot;x&quot;:-0.563876,&quot;y&quot;:1.53052,&quot;z&quot;:-0.759811},{&quot;x&quot;:-0.563876,&quot;y&quot;:1.69163,&quot;z&quot;:-0.815659},{&quot;x&quot;:-0.563876,&quot;y&quot;:1.85273,&quot;z&quot;:-0.86478},{&quot;x&quot;:-0.563876,&quot;y&quot;:2.01384,&quot;z&quot;:-0.906769},{&quot;x&quot;:-0.563876,&quot;y&quot;:2.17495,&quot;z&quot;:-0.94128},{&quot;x&quot;:-0.563876,&quot;y&quot;:2.33606,&quot;z&quot;:-0.968028},{&quot;x&quot;:-0.563876,&quot;y&quot;:2.49716,&quot;z&quot;:-0.986792},{&quot;x&quot;:-0.563876,&quot;y&quot;:2.65827,&quot;z&quot;:-0.997419},{&quot;x&quot;:-0.563876,&quot;y&quot;:2.81938,&quot;z&quot;:-0.99982},{&quot;x&quot;:-0.563876,&quot;y&quot;:2.98049,&quot;z&quot;:-0.993975},{&quot;x&quot;:-0.563876,&quot;y&quot;:3.14159,&quot;z&quot;:-0.979933},{&quot;x&quot;:-0.402768,&quot;y&quot;:-3.14159,&quot;z&quot;:0.953708},{&quot;x&quot;:-0.402768,&quot;y&quot;:-2.98049,&quot;z&quot;:0.9322},{&quot;x&quot;:-0.402768,&quot;y&quot;:-2.81938,&quot;z&quot;:0.906769},{&quot;x&quot;:-0.402768,&quot;y&quot;:-2.65827,&quot;z&quot;:0.877521},{&quot;x&quot;:-0.402768,&quot;y&quot;:-2.49716,&quot;z&quot;:0.844579},{&quot;x&quot;:-0.402768,&quot;y&quot;:-2.33606,&quot;z&quot;:0.808082},{&quot;x&quot;:-0.402768,&quot;y&quot;:-2.17495,&quot;z&quot;:0.768184},{&quot;x&quot;:-0.402768,&quot;y&quot;:-2.01384,&quot;z&quot;:0.725053},{&quot;x&quot;:-0.402768,&quot;y&quot;:-1.85273,&quot;z&quot;:0.67887},{&quot;x&quot;:-0.402768,&quot;y&quot;:-1.69163,&quot;z&quot;:0.629829},{&quot;x&quot;:-0.402768,&quot;y&quot;:-1.53052,&quot;z&quot;:0.578138},{&quot;x&quot;:-0.402768,&quot;y&quot;:-1.36941,&quot;z&quot;:0.524013},{&quot;x&quot;:-0.402768,&quot;y&quot;:-1.2083,&quot;z&quot;:0.467682},{&quot;x&quot;:-0.402768,&quot;y&quot;:-1.0472,&quot;z&quot;:0.409383},{&quot;x&quot;:-0.402768,&quot;y&quot;:-0.88609,&quot;z&quot;:0.349361},{&quot;x&quot;:-0.402768,&quot;y&quot;:-0.724983,&quot;z&quot;:0.287868},{&quot;x&quot;:-0.402768,&quot;y&quot;:-0.563876,&quot;z&quot;:0.225164},{&quot;x&quot;:-0.402768,&quot;y&quot;:-0.402768,&quot;z&quot;:0.161512},{&quot;x&quot;:-0.402768,&quot;y&quot;:-0.241661,&quot;z&quot;:0.0971798},{&quot;x&quot;:-0.402768,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.0324388},{&quot;x&quot;:-0.402768,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.0324388},{&quot;x&quot;:-0.402768,&quot;y&quot;:0.241661,&quot;z&quot;:-0.0971798},{&quot;x&quot;:-0.402768,&quot;y&quot;:0.402768,&quot;z&quot;:-0.161512},{&quot;x&quot;:-0.402768,&quot;y&quot;:0.563876,&quot;z&quot;:-0.225164},{&quot;x&quot;:-0.402768,&quot;y&quot;:0.724983,&quot;z&quot;:-0.287868},{&quot;x&quot;:-0.402768,&quot;y&quot;:0.88609,&quot;z&quot;:-0.349361},{&quot;x&quot;:-0.402768,&quot;y&quot;:1.0472,&quot;z&quot;:-0.409383},{&quot;x&quot;:-0.402768,&quot;y&quot;:1.2083,&quot;z&quot;:-0.467682},{&quot;x&quot;:-0.402768,&quot;y&quot;:1.36941,&quot;z&quot;:-0.524013},{&quot;x&quot;:-0.402768,&quot;y&quot;:1.53052,&quot;z&quot;:-0.578138},{&quot;x&quot;:-0.402768,&quot;y&quot;:1.69163,&quot;z&quot;:-0.629829},{&quot;x&quot;:-0.402768,&quot;y&quot;:1.85273,&quot;z&quot;:-0.67887},{&quot;x&quot;:-0.402768,&quot;y&quot;:2.01384,&quot;z&quot;:-0.725053},{&quot;x&quot;:-0.402768,&quot;y&quot;:2.17495,&quot;z&quot;:-0.768184},{&quot;x&quot;:-0.402768,&quot;y&quot;:2.33606,&quot;z&quot;:-0.808082},{&quot;x&quot;:-0.402768,&quot;y&quot;:2.49716,&quot;z&quot;:-0.844579},{&quot;x&quot;:-0.402768,&quot;y&quot;:2.65827,&quot;z&quot;:-0.877521},{&quot;x&quot;:-0.402768,&quot;y&quot;:2.81938,&quot;z&quot;:-0.906769},{&quot;x&quot;:-0.402768,&quot;y&quot;:2.98049,&quot;z&quot;:-0.9322},{&quot;x&quot;:-0.402768,&quot;y&quot;:3.14159,&quot;z&quot;:-0.953708},{&quot;x&quot;:-0.241661,&quot;y&quot;:-3.14159,&quot;z&quot;:0.688342},{&quot;x&quot;:-0.241661,&quot;y&quot;:-2.98049,&quot;z&quot;:0.659585},{&quot;x&quot;:-0.241661,&quot;y&quot;:-2.81938,&quot;z&quot;:0.629829},{&quot;x&quot;:-0.241661,&quot;y&quot;:-2.65827,&quot;z&quot;:0.599119},{&quot;x&quot;:-0.241661,&quot;y&quot;:-2.49716,&quot;z&quot;:0.5675},{&quot;x&quot;:-0.241661,&quot;y&quot;:-2.33606,&quot;z&quot;:0.535022},{&quot;x&quot;:-0.241661,&quot;y&quot;:-2.17495,&quot;z&quot;:0.501732},{&quot;x&quot;:-0.241661,&quot;y&quot;:-2.01384,&quot;z&quot;:0.467682},{&quot;x&quot;:-0.241661,&quot;y&quot;:-1.85273,&quot;z&quot;:0.432924},{&quot;x&quot;:-0.241661,&quot;y&quot;:-1.69163,&quot;z&quot;:0.397509},{&quot;x&quot;:-0.241661,&quot;y&quot;:-1.53052,&quot;z&quot;:0.361491},{&quot;x&quot;:-0.241661,&quot;y&quot;:-1.36941,&quot;z&quot;:0.324926},{&quot;x&quot;:-0.241661,&quot;y&quot;:-1.2083,&quot;z&quot;:0.287868},{&quot;x&quot;:-0.241661,&quot;y&quot;:-1.0472,&quot;z&quot;:0.250374},{&quot;x&quot;:-0.241661,&quot;y&quot;:-0.88609,&quot;z&quot;:0.212501},{&quot;x&quot;:-0.241661,&quot;y&quot;:-0.724983,&quot;z&quot;:0.174305},{&quot;x&quot;:-0.241661,&quot;y&quot;:-0.563876,&quot;z&quot;:0.135845},{&quot;x&quot;:-0.241661,&quot;y&quot;:-0.402768,&quot;z&quot;:0.0971798},{&quot;x&quot;:-0.241661,&quot;y&quot;:-0.241661,&quot;z&quot;:0.0583668},{&quot;x&quot;:-0.241661,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.0194654},{&quot;x&quot;:-0.241661,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.0194654},{&quot;x&quot;:-0.241661,&quot;y&quot;:0.241661,&quot;z&quot;:-0.0583668},{&quot;x&quot;:-0.241661,&quot;y&quot;:0.402768,&quot;z&quot;:-0.0971798},{&quot;x&quot;:-0.241661,&quot;y&quot;:0.563876,&quot;z&quot;:-0.135845},{&quot;x&quot;:-0.241661,&quot;y&quot;:0.724983,&quot;z&quot;:-0.174305},{&quot;x&quot;:-0.241661,&quot;y&quot;:0.88609,&quot;z&quot;:-0.212501},{&quot;x&quot;:-0.241661,&quot;y&quot;:1.0472,&quot;z&quot;:-0.250374},{&quot;x&quot;:-0.241661,&quot;y&quot;:1.2083,&quot;z&quot;:-0.287868},{&quot;x&quot;:-0.241661,&quot;y&quot;:1.36941,&quot;z&quot;:-0.324926},{&quot;x&quot;:-0.241661,&quot;y&quot;:1.53052,&quot;z&quot;:-0.361491},{&quot;x&quot;:-0.241661,&quot;y&quot;:1.69163,&quot;z&quot;:-0.397509},{&quot;x&quot;:-0.241661,&quot;y&quot;:1.85273,&quot;z&quot;:-0.432924},{&quot;x&quot;:-0.241661,&quot;y&quot;:2.01384,&quot;z&quot;:-0.467682},{&quot;x&quot;:-0.241661,&quot;y&quot;:2.17495,&quot;z&quot;:-0.501732},{&quot;x&quot;:-0.241661,&quot;y&quot;:2.33606,&quot;z&quot;:-0.535022},{&quot;x&quot;:-0.241661,&quot;y&quot;:2.49716,&quot;z&quot;:-0.5675},{&quot;x&quot;:-0.241661,&quot;y&quot;:2.65827,&quot;z&quot;:-0.599119},{&quot;x&quot;:-0.241661,&quot;y&quot;:2.81938,&quot;z&quot;:-0.629829},{&quot;x&quot;:-0.241661,&quot;y&quot;:2.98049,&quot;z&quot;:-0.659585},{&quot;x&quot;:-0.241661,&quot;y&quot;:3.14159,&quot;z&quot;:-0.688342},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-3.14159,&quot;z&quot;:0.250374},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-2.98049,&quot;z&quot;:0.237789},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-2.81938,&quot;z&quot;:0.225164},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-2.65827,&quot;z&quot;:0.212501},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-2.49716,&quot;z&quot;:0.199802},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-2.33606,&quot;z&quot;:0.187069},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-2.17495,&quot;z&quot;:0.174305},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-2.01384,&quot;z&quot;:0.161512},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-1.85273,&quot;z&quot;:0.148691},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-1.69163,&quot;z&quot;:0.135845},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-1.53052,&quot;z&quot;:0.122977},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-1.36941,&quot;z&quot;:0.110088},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-1.2083,&quot;z&quot;:0.0971798},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-1.0472,&quot;z&quot;:0.0842556},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-0.88609,&quot;z&quot;:0.0713172},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-0.724983,&quot;z&quot;:0.0583668},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-0.563876,&quot;z&quot;:0.0454066},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-0.402768,&quot;z&quot;:0.0324388},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-0.241661,&quot;z&quot;:0.0194654},{&quot;x&quot;:-0.0805537,&quot;y&quot;:-0.0805537,&quot;z&quot;:0.00648885},{&quot;x&quot;:-0.0805537,&quot;y&quot;:0.0805537,&quot;z&quot;:-0.00648885},{&quot;x&quot;:-0.0805537,&quot;y&quot;:0.241661,&quot;z&quot;:-0.0194654},{&quot;x&quot;:-0.0805537,&quot;y&quot;:0.402768,&quot;z&quot;:-0.0324388},{&quot;x&quot;:-0.0805537,&quot;y&quot;:0.563876,&quot;z&quot;:-0.0454066},{&quot;x&quot;:-0.0805537,&quot;y&quot;:0.724983,&quot;z&quot;:-0.0583668},{&quot;x&quot;:-0.0805537,&quot;y&quot;:0.88609,&quot;z&quot;:-0.0713172},{&quot;x&quot;:-0.0805537,&quot;y&quot;:1.0472,&quot;z&quot;:-0.0842556},{&quot;x&quot;:-0.0805537,&quot;y&quot;:1.2083,&quot;z&quot;:-0.0971798},{&quot;x&quot;:-0.0805537,&quot;y&quot;:1.36941,&quot;z&quot;:-0.110088},{&quot;x&quot;:-0.0805537,&quot;y&quot;:1.53052,&quot;z&quot;:-0.122977},{&quot;x&quot;:-0.0805537,&quot;y&quot;:1.69163,&quot;z&quot;:-0.135845},{&quot;x&quot;:-0.0805537,&quot;y&quot;:1.85273,&quot;z&quot;:-0.148691},{&quot;x&quot;:-0.0805537,&quot;y&quot;:2.01384,&quot;z&quot;:-0.161512},{&quot;x&quot;:-0.0805537,&quot;y&quot;:2.17495,&quot;z&quot;:-0.174305},{&quot;x&quot;:-0.0805537,&quot;y&quot;:2.33606,&quot;z&quot;:-0.187069},{&quot;x&quot;:-0.0805537,&quot;y&quot;:2.49716,&quot;z&quot;:-0.199802},{&quot;x&quot;:-0.0805537,&quot;y&quot;:2.65827,&quot;z&quot;:-0.212501},{&quot;x&quot;:-0.0805537,&quot;y&quot;:2.81938,&quot;z&quot;:-0.225164},{&quot;x&quot;:-0.0805537,&quot;y&quot;:2.98049,&quot;z&quot;:-0.237789},{&quot;x&quot;:-0.0805537,&quot;y&quot;:3.14159,&quot;z&quot;:-0.250374},{&quot;x&quot;:0.0805537,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.250374},{&quot;x&quot;:0.0805537,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.237789},{&quot;x&quot;:0.0805537,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.225164},{&quot;x&quot;:0.0805537,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.212501},{&quot;x&quot;:0.0805537,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.199802},{&quot;x&quot;:0.0805537,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.187069},{&quot;x&quot;:0.0805537,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.174305},{&quot;x&quot;:0.0805537,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.161512},{&quot;x&quot;:0.0805537,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.148691},{&quot;x&quot;:0.0805537,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.135845},{&quot;x&quot;:0.0805537,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.122977},{&quot;x&quot;:0.0805537,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.110088},{&quot;x&quot;:0.0805537,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.0971798},{&quot;x&quot;:0.0805537,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.0842556},{&quot;x&quot;:0.0805537,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.0713172},{&quot;x&quot;:0.0805537,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.0583668},{&quot;x&quot;:0.0805537,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.0454066},{&quot;x&quot;:0.0805537,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.0324388},{&quot;x&quot;:0.0805537,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.0194654},{&quot;x&quot;:0.0805537,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.00648885},{&quot;x&quot;:0.0805537,&quot;y&quot;:0.0805537,&quot;z&quot;:0.00648885},{&quot;x&quot;:0.0805537,&quot;y&quot;:0.241661,&quot;z&quot;:0.0194654},{&quot;x&quot;:0.0805537,&quot;y&quot;:0.402768,&quot;z&quot;:0.0324388},{&quot;x&quot;:0.0805537,&quot;y&quot;:0.563876,&quot;z&quot;:0.0454066},{&quot;x&quot;:0.0805537,&quot;y&quot;:0.724983,&quot;z&quot;:0.0583668},{&quot;x&quot;:0.0805537,&quot;y&quot;:0.88609,&quot;z&quot;:0.0713172},{&quot;x&quot;:0.0805537,&quot;y&quot;:1.0472,&quot;z&quot;:0.0842556},{&quot;x&quot;:0.0805537,&quot;y&quot;:1.2083,&quot;z&quot;:0.0971798},{&quot;x&quot;:0.0805537,&quot;y&quot;:1.36941,&quot;z&quot;:0.110088},{&quot;x&quot;:0.0805537,&quot;y&quot;:1.53052,&quot;z&quot;:0.122977},{&quot;x&quot;:0.0805537,&quot;y&quot;:1.69163,&quot;z&quot;:0.135845},{&quot;x&quot;:0.0805537,&quot;y&quot;:1.85273,&quot;z&quot;:0.148691},{&quot;x&quot;:0.0805537,&quot;y&quot;:2.01384,&quot;z&quot;:0.161512},{&quot;x&quot;:0.0805537,&quot;y&quot;:2.17495,&quot;z&quot;:0.174305},{&quot;x&quot;:0.0805537,&quot;y&quot;:2.33606,&quot;z&quot;:0.187069},{&quot;x&quot;:0.0805537,&quot;y&quot;:2.49716,&quot;z&quot;:0.199802},{&quot;x&quot;:0.0805537,&quot;y&quot;:2.65827,&quot;z&quot;:0.212501},{&quot;x&quot;:0.0805537,&quot;y&quot;:2.81938,&quot;z&quot;:0.225164},{&quot;x&quot;:0.0805537,&quot;y&quot;:2.98049,&quot;z&quot;:0.237789},{&quot;x&quot;:0.0805537,&quot;y&quot;:3.14159,&quot;z&quot;:0.250374},{&quot;x&quot;:0.241661,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.688342},{&quot;x&quot;:0.241661,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.659585},{&quot;x&quot;:0.241661,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.629829},{&quot;x&quot;:0.241661,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.599119},{&quot;x&quot;:0.241661,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.5675},{&quot;x&quot;:0.241661,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.535022},{&quot;x&quot;:0.241661,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.501732},{&quot;x&quot;:0.241661,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.467682},{&quot;x&quot;:0.241661,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.432924},{&quot;x&quot;:0.241661,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.397509},{&quot;x&quot;:0.241661,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.361491},{&quot;x&quot;:0.241661,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.324926},{&quot;x&quot;:0.241661,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.287868},{&quot;x&quot;:0.241661,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.250374},{&quot;x&quot;:0.241661,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.212501},{&quot;x&quot;:0.241661,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.174305},{&quot;x&quot;:0.241661,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.135845},{&quot;x&quot;:0.241661,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.0971798},{&quot;x&quot;:0.241661,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.0583668},{&quot;x&quot;:0.241661,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.0194654},{&quot;x&quot;:0.241661,&quot;y&quot;:0.0805537,&quot;z&quot;:0.0194654},{&quot;x&quot;:0.241661,&quot;y&quot;:0.241661,&quot;z&quot;:0.0583668},{&quot;x&quot;:0.241661,&quot;y&quot;:0.402768,&quot;z&quot;:0.0971798},{&quot;x&quot;:0.241661,&quot;y&quot;:0.563876,&quot;z&quot;:0.135845},{&quot;x&quot;:0.241661,&quot;y&quot;:0.724983,&quot;z&quot;:0.174305},{&quot;x&quot;:0.241661,&quot;y&quot;:0.88609,&quot;z&quot;:0.212501},{&quot;x&quot;:0.241661,&quot;y&quot;:1.0472,&quot;z&quot;:0.250374},{&quot;x&quot;:0.241661,&quot;y&quot;:1.2083,&quot;z&quot;:0.287868},{&quot;x&quot;:0.241661,&quot;y&quot;:1.36941,&quot;z&quot;:0.324926},{&quot;x&quot;:0.241661,&quot;y&quot;:1.53052,&quot;z&quot;:0.361491},{&quot;x&quot;:0.241661,&quot;y&quot;:1.69163,&quot;z&quot;:0.397509},{&quot;x&quot;:0.241661,&quot;y&quot;:1.85273,&quot;z&quot;:0.432924},{&quot;x&quot;:0.241661,&quot;y&quot;:2.01384,&quot;z&quot;:0.467682},{&quot;x&quot;:0.241661,&quot;y&quot;:2.17495,&quot;z&quot;:0.501732},{&quot;x&quot;:0.241661,&quot;y&quot;:2.33606,&quot;z&quot;:0.535022},{&quot;x&quot;:0.241661,&quot;y&quot;:2.49716,&quot;z&quot;:0.5675},{&quot;x&quot;:0.241661,&quot;y&quot;:2.65827,&quot;z&quot;:0.599119},{&quot;x&quot;:0.241661,&quot;y&quot;:2.81938,&quot;z&quot;:0.629829},{&quot;x&quot;:0.241661,&quot;y&quot;:2.98049,&quot;z&quot;:0.659585},{&quot;x&quot;:0.241661,&quot;y&quot;:3.14159,&quot;z&quot;:0.688342},{&quot;x&quot;:0.402768,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.953708},{&quot;x&quot;:0.402768,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.9322},{&quot;x&quot;:0.402768,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.906769},{&quot;x&quot;:0.402768,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.877521},{&quot;x&quot;:0.402768,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.844579},{&quot;x&quot;:0.402768,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.808082},{&quot;x&quot;:0.402768,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.768184},{&quot;x&quot;:0.402768,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.725053},{&quot;x&quot;:0.402768,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.67887},{&quot;x&quot;:0.402768,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.629829},{&quot;x&quot;:0.402768,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.578138},{&quot;x&quot;:0.402768,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.524013},{&quot;x&quot;:0.402768,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.467682},{&quot;x&quot;:0.402768,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.409383},{&quot;x&quot;:0.402768,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.349361},{&quot;x&quot;:0.402768,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.287868},{&quot;x&quot;:0.402768,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.225164},{&quot;x&quot;:0.402768,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.161512},{&quot;x&quot;:0.402768,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.0971798},{&quot;x&quot;:0.402768,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.0324388},{&quot;x&quot;:0.402768,&quot;y&quot;:0.0805537,&quot;z&quot;:0.0324388},{&quot;x&quot;:0.402768,&quot;y&quot;:0.241661,&quot;z&quot;:0.0971798},{&quot;x&quot;:0.402768,&quot;y&quot;:0.402768,&quot;z&quot;:0.161512},{&quot;x&quot;:0.402768,&quot;y&quot;:0.563876,&quot;z&quot;:0.225164},{&quot;x&quot;:0.402768,&quot;y&quot;:0.724983,&quot;z&quot;:0.287868},{&quot;x&quot;:0.402768,&quot;y&quot;:0.88609,&quot;z&quot;:0.349361},{&quot;x&quot;:0.402768,&quot;y&quot;:1.0472,&quot;z&quot;:0.409383},{&quot;x&quot;:0.402768,&quot;y&quot;:1.2083,&quot;z&quot;:0.467682},{&quot;x&quot;:0.402768,&quot;y&quot;:1.36941,&quot;z&quot;:0.524013},{&quot;x&quot;:0.402768,&quot;y&quot;:1.53052,&quot;z&quot;:0.578138},{&quot;x&quot;:0.402768,&quot;y&quot;:1.69163,&quot;z&quot;:0.629829},{&quot;x&quot;:0.402768,&quot;y&quot;:1.85273,&quot;z&quot;:0.67887},{&quot;x&quot;:0.402768,&quot;y&quot;:2.01384,&quot;z&quot;:0.725053},{&quot;x&quot;:0.402768,&quot;y&quot;:2.17495,&quot;z&quot;:0.768184},{&quot;x&quot;:0.402768,&quot;y&quot;:2.33606,&quot;z&quot;:0.808082},{&quot;x&quot;:0.402768,&quot;y&quot;:2.49716,&quot;z&quot;:0.844579},{&quot;x&quot;:0.402768,&quot;y&quot;:2.65827,&quot;z&quot;:0.877521},{&quot;x&quot;:0.402768,&quot;y&quot;:2.81938,&quot;z&quot;:0.906769},{&quot;x&quot;:0.402768,&quot;y&quot;:2.98049,&quot;z&quot;:0.9322},{&quot;x&quot;:0.402768,&quot;y&quot;:3.14159,&quot;z&quot;:0.953708},{&quot;x&quot;:0.563876,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.979933},{&quot;x&quot;:0.563876,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.993975},{&quot;x&quot;:0.563876,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.99982},{&quot;x&quot;:0.563876,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.997419},{&quot;x&quot;:0.563876,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.986792},{&quot;x&quot;:0.563876,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.968028},{&quot;x&quot;:0.563876,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.94128},{&quot;x&quot;:0.563876,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.906769},{&quot;x&quot;:0.563876,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.86478},{&quot;x&quot;:0.563876,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.815659},{&quot;x&quot;:0.563876,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.759811},{&quot;x&quot;:0.563876,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.697697},{&quot;x&quot;:0.563876,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.629829},{&quot;x&quot;:0.563876,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.556767},{&quot;x&quot;:0.563876,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.479114},{&quot;x&quot;:0.563876,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.397509},{&quot;x&quot;:0.563876,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.312625},{&quot;x&quot;:0.563876,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.225164},{&quot;x&quot;:0.563876,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.135845},{&quot;x&quot;:0.563876,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.0454066},{&quot;x&quot;:0.563876,&quot;y&quot;:0.0805537,&quot;z&quot;:0.0454066},{&quot;x&quot;:0.563876,&quot;y&quot;:0.241661,&quot;z&quot;:0.135845},{&quot;x&quot;:0.563876,&quot;y&quot;:0.402768,&quot;z&quot;:0.225164},{&quot;x&quot;:0.563876,&quot;y&quot;:0.563876,&quot;z&quot;:0.312625},{&quot;x&quot;:0.563876,&quot;y&quot;:0.724983,&quot;z&quot;:0.397509},{&quot;x&quot;:0.563876,&quot;y&quot;:0.88609,&quot;z&quot;:0.479114},{&quot;x&quot;:0.563876,&quot;y&quot;:1.0472,&quot;z&quot;:0.556767},{&quot;x&quot;:0.563876,&quot;y&quot;:1.2083,&quot;z&quot;:0.629829},{&quot;x&quot;:0.563876,&quot;y&quot;:1.36941,&quot;z&quot;:0.697697},{&quot;x&quot;:0.563876,&quot;y&quot;:1.53052,&quot;z&quot;:0.759811},{&quot;x&quot;:0.563876,&quot;y&quot;:1.69163,&quot;z&quot;:0.815659},{&quot;x&quot;:0.563876,&quot;y&quot;:1.85273,&quot;z&quot;:0.86478},{&quot;x&quot;:0.563876,&quot;y&quot;:2.01384,&quot;z&quot;:0.906769},{&quot;x&quot;:0.563876,&quot;y&quot;:2.17495,&quot;z&quot;:0.94128},{&quot;x&quot;:0.563876,&quot;y&quot;:2.33606,&quot;z&quot;:0.968028},{&quot;x&quot;:0.563876,&quot;y&quot;:2.49716,&quot;z&quot;:0.986792},{&quot;x&quot;:0.563876,&quot;y&quot;:2.65827,&quot;z&quot;:0.997419},{&quot;x&quot;:0.563876,&quot;y&quot;:2.81938,&quot;z&quot;:0.99982},{&quot;x&quot;:0.563876,&quot;y&quot;:2.98049,&quot;z&quot;:0.993975},{&quot;x&quot;:0.563876,&quot;y&quot;:3.14159,&quot;z&quot;:0.979933},{&quot;x&quot;:0.724983,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.760441},{&quot;x&quot;:0.724983,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.830938},{&quot;x&quot;:0.724983,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.890112},{&quot;x&quot;:0.724983,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.937157},{&quot;x&quot;:0.724983,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.971432},{&quot;x&quot;:0.724983,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.992469},{&quot;x&quot;:0.724983,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.999982},{&quot;x&quot;:0.724983,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.993868},{&quot;x&quot;:0.724983,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.974212},{&quot;x&quot;:0.724983,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.94128},{&quot;x&quot;:0.724983,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.895521},{&quot;x&quot;:0.724983,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.837559},{&quot;x&quot;:0.724983,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.768184},{&quot;x&quot;:0.724983,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.688342},{&quot;x&quot;:0.724983,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.599119},{&quot;x&quot;:0.724983,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.501732},{&quot;x&quot;:0.724983,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.397509},{&quot;x&quot;:0.724983,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.287868},{&quot;x&quot;:0.724983,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.174305},{&quot;x&quot;:0.724983,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.0583668},{&quot;x&quot;:0.724983,&quot;y&quot;:0.0805537,&quot;z&quot;:0.0583668},{&quot;x&quot;:0.724983,&quot;y&quot;:0.241661,&quot;z&quot;:0.174305},{&quot;x&quot;:0.724983,&quot;y&quot;:0.402768,&quot;z&quot;:0.287868},{&quot;x&quot;:0.724983,&quot;y&quot;:0.563876,&quot;z&quot;:0.397509},{&quot;x&quot;:0.724983,&quot;y&quot;:0.724983,&quot;z&quot;:0.501732},{&quot;x&quot;:0.724983,&quot;y&quot;:0.88609,&quot;z&quot;:0.599119},{&quot;x&quot;:0.724983,&quot;y&quot;:1.0472,&quot;z&quot;:0.688342},{&quot;x&quot;:0.724983,&quot;y&quot;:1.2083,&quot;z&quot;:0.768184},{&quot;x&quot;:0.724983,&quot;y&quot;:1.36941,&quot;z&quot;:0.837559},{&quot;x&quot;:0.724983,&quot;y&quot;:1.53052,&quot;z&quot;:0.895521},{&quot;x&quot;:0.724983,&quot;y&quot;:1.69163,&quot;z&quot;:0.94128},{&quot;x&quot;:0.724983,&quot;y&quot;:1.85273,&quot;z&quot;:0.974212},{&quot;x&quot;:0.724983,&quot;y&quot;:2.01384,&quot;z&quot;:0.993868},{&quot;x&quot;:0.724983,&quot;y&quot;:2.17495,&quot;z&quot;:0.999982},{&quot;x&quot;:0.724983,&quot;y&quot;:2.33606,&quot;z&quot;:0.992469},{&quot;x&quot;:0.724983,&quot;y&quot;:2.49716,&quot;z&quot;:0.971432},{&quot;x&quot;:0.724983,&quot;y&quot;:2.65827,&quot;z&quot;:0.937157},{&quot;x&quot;:0.724983,&quot;y&quot;:2.81938,&quot;z&quot;:0.890112},{&quot;x&quot;:0.724983,&quot;y&quot;:2.98049,&quot;z&quot;:0.830938},{&quot;x&quot;:0.724983,&quot;y&quot;:3.14159,&quot;z&quot;:0.760441},{&quot;x&quot;:0.88609,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.350269},{&quot;x&quot;:0.88609,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.479964},{&quot;x&quot;:0.88609,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.599895},{&quot;x&quot;:0.88609,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.707621},{&quot;x&quot;:0.88609,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.80095},{&quot;x&quot;:0.88609,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.877985},{&quot;x&quot;:0.88609,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.937157},{&quot;x&quot;:0.88609,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.977264},{&quot;x&quot;:0.88609,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.997488},{&quot;x&quot;:0.88609,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.997419},{&quot;x&quot;:0.88609,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.977058},{&quot;x&quot;:0.88609,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.936819},{&quot;x&quot;:0.88609,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.877521},{&quot;x&quot;:0.88609,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.80037},{&quot;x&quot;:0.88609,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.706935},{&quot;x&quot;:0.88609,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.599119},{&quot;x&quot;:0.88609,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.479114},{&quot;x&quot;:0.88609,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.349361},{&quot;x&quot;:0.88609,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.212501},{&quot;x&quot;:0.88609,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.0713172},{&quot;x&quot;:0.88609,&quot;y&quot;:0.0805537,&quot;z&quot;:0.0713172},{&quot;x&quot;:0.88609,&quot;y&quot;:0.241661,&quot;z&quot;:0.212501},{&quot;x&quot;:0.88609,&quot;y&quot;:0.402768,&quot;z&quot;:0.349361},{&quot;x&quot;:0.88609,&quot;y&quot;:0.563876,&quot;z&quot;:0.479114},{&quot;x&quot;:0.88609,&quot;y&quot;:0.724983,&quot;z&quot;:0.599119},{&quot;x&quot;:0.88609,&quot;y&quot;:0.88609,&quot;z&quot;:0.706935},{&quot;x&quot;:0.88609,&quot;y&quot;:1.0472,&quot;z&quot;:0.80037},{&quot;x&quot;:0.88609,&quot;y&quot;:1.2083,&quot;z&quot;:0.877521},{&quot;x&quot;:0.88609,&quot;y&quot;:1.36941,&quot;z&quot;:0.936819},{&quot;x&quot;:0.88609,&quot;y&quot;:1.53052,&quot;z&quot;:0.977058},{&quot;x&quot;:0.88609,&quot;y&quot;:1.69163,&quot;z&quot;:0.997419},{&quot;x&quot;:0.88609,&quot;y&quot;:1.85273,&quot;z&quot;:0.997488},{&quot;x&quot;:0.88609,&quot;y&quot;:2.01384,&quot;z&quot;:0.977264},{&quot;x&quot;:0.88609,&quot;y&quot;:2.17495,&quot;z&quot;:0.937157},{&quot;x&quot;:0.88609,&quot;y&quot;:2.33606,&quot;z&quot;:0.877985},{&quot;x&quot;:0.88609,&quot;y&quot;:2.49716,&quot;z&quot;:0.80095},{&quot;x&quot;:0.88609,&quot;y&quot;:2.65827,&quot;z&quot;:0.707621},{&quot;x&quot;:0.88609,&quot;y&quot;:2.81938,&quot;z&quot;:0.599895},{&quot;x&quot;:0.88609,&quot;y&quot;:2.98049,&quot;z&quot;:0.479964},{&quot;x&quot;:0.88609,&quot;y&quot;:3.14159,&quot;z&quot;:0.350269},{&quot;x&quot;:1.0472,&quot;y&quot;:-3.14159,&quot;z&quot;:0.147733},{&quot;x&quot;:1.0472,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.0204343},{&quot;x&quot;:1.0472,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.188021},{&quot;x&quot;:1.0472,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.350269},{&quot;x&quot;:1.0472,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.50257},{&quot;x&quot;:1.0472,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.640601},{&quot;x&quot;:1.0472,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.760441},{&quot;x&quot;:1.0472,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.858687},{&quot;x&quot;:1.0472,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.932551},{&quot;x&quot;:1.0472,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.979933},{&quot;x&quot;:1.0472,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.999489},{&quot;x&quot;:1.0472,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.990664},{&quot;x&quot;:1.0472,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.953708},{&quot;x&quot;:1.0472,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.88967},{&quot;x&quot;:1.0472,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.80037},{&quot;x&quot;:1.0472,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.688342},{&quot;x&quot;:1.0472,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.556767},{&quot;x&quot;:1.0472,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.409383},{&quot;x&quot;:1.0472,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.250374},{&quot;x&quot;:1.0472,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.0842556},{&quot;x&quot;:1.0472,&quot;y&quot;:0.0805537,&quot;z&quot;:0.0842556},{&quot;x&quot;:1.0472,&quot;y&quot;:0.241661,&quot;z&quot;:0.250374},{&quot;x&quot;:1.0472,&quot;y&quot;:0.402768,&quot;z&quot;:0.409383},{&quot;x&quot;:1.0472,&quot;y&quot;:0.563876,&quot;z&quot;:0.556767},{&quot;x&quot;:1.0472,&quot;y&quot;:0.724983,&quot;z&quot;:0.688342},{&quot;x&quot;:1.0472,&quot;y&quot;:0.88609,&quot;z&quot;:0.80037},{&quot;x&quot;:1.0472,&quot;y&quot;:1.0472,&quot;z&quot;:0.88967},{&quot;x&quot;:1.0472,&quot;y&quot;:1.2083,&quot;z&quot;:0.953708},{&quot;x&quot;:1.0472,&quot;y&quot;:1.36941,&quot;z&quot;:0.990664},{&quot;x&quot;:1.0472,&quot;y&quot;:1.53052,&quot;z&quot;:0.999489},{&quot;x&quot;:1.0472,&quot;y&quot;:1.69163,&quot;z&quot;:0.979933},{&quot;x&quot;:1.0472,&quot;y&quot;:1.85273,&quot;z&quot;:0.932551},{&quot;x&quot;:1.0472,&quot;y&quot;:2.01384,&quot;z&quot;:0.858687},{&quot;x&quot;:1.0472,&quot;y&quot;:2.17495,&quot;z&quot;:0.760441},{&quot;x&quot;:1.0472,&quot;y&quot;:2.33606,&quot;z&quot;:0.640601},{&quot;x&quot;:1.0472,&quot;y&quot;:2.49716,&quot;z&quot;:0.50257},{&quot;x&quot;:1.0472,&quot;y&quot;:2.65827,&quot;z&quot;:0.350269},{&quot;x&quot;:1.0472,&quot;y&quot;:2.81938,&quot;z&quot;:0.188021},{&quot;x&quot;:1.0472,&quot;y&quot;:2.98049,&quot;z&quot;:0.0204343},{&quot;x&quot;:1.0472,&quot;y&quot;:3.14159,&quot;z&quot;:-0.147733},{&quot;x&quot;:1.2083,&quot;y&quot;:-3.14159,&quot;z&quot;:0.60869},{&quot;x&quot;:1.2083,&quot;y&quot;:-2.98049,&quot;z&quot;:0.443717},{&quot;x&quot;:1.2083,&quot;y&quot;:-2.81938,&quot;z&quot;:0.261982},{&quot;x&quot;:1.2083,&quot;y&quot;:-2.65827,&quot;z&quot;:0.0703506},{&quot;x&quot;:1.2083,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.123938},{&quot;x&quot;:1.2083,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.313546},{&quot;x&quot;:1.2083,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.491309},{&quot;x&quot;:1.2083,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.650512},{&quot;x&quot;:1.2083,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.785142},{&quot;x&quot;:1.2083,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.890112},{&quot;x&quot;:1.2083,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.961458},{&quot;x&quot;:1.2083,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.996485},{&quot;x&quot;:1.2083,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.993868},{&quot;x&quot;:1.2083,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.953708},{&quot;x&quot;:1.2083,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.877521},{&quot;x&quot;:1.2083,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.768184},{&quot;x&quot;:1.2083,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.629829},{&quot;x&quot;:1.2083,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.467682},{&quot;x&quot;:1.2083,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.287868},{&quot;x&quot;:1.2083,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.0971798},{&quot;x&quot;:1.2083,&quot;y&quot;:0.0805537,&quot;z&quot;:0.0971798},{&quot;x&quot;:1.2083,&quot;y&quot;:0.241661,&quot;z&quot;:0.287868},{&quot;x&quot;:1.2083,&quot;y&quot;:0.402768,&quot;z&quot;:0.467682},{&quot;x&quot;:1.2083,&quot;y&quot;:0.563876,&quot;z&quot;:0.629829},{&quot;x&quot;:1.2083,&quot;y&quot;:0.724983,&quot;z&quot;:0.768184},{&quot;x&quot;:1.2083,&quot;y&quot;:0.88609,&quot;z&quot;:0.877521},{&quot;x&quot;:1.2083,&quot;y&quot;:1.0472,&quot;z&quot;:0.953708},{&quot;x&quot;:1.2083,&quot;y&quot;:1.2083,&quot;z&quot;:0.993868},{&quot;x&quot;:1.2083,&quot;y&quot;:1.36941,&quot;z&quot;:0.996485},{&quot;x&quot;:1.2083,&quot;y&quot;:1.53052,&quot;z&quot;:0.961458},{&quot;x&quot;:1.2083,&quot;y&quot;:1.69163,&quot;z&quot;:0.890112},{&quot;x&quot;:1.2083,&quot;y&quot;:1.85273,&quot;z&quot;:0.785142},{&quot;x&quot;:1.2083,&quot;y&quot;:2.01384,&quot;z&quot;:0.650512},{&quot;x&quot;:1.2083,&quot;y&quot;:2.17495,&quot;z&quot;:0.491309},{&quot;x&quot;:1.2083,&quot;y&quot;:2.33606,&quot;z&quot;:0.313546},{&quot;x&quot;:1.2083,&quot;y&quot;:2.49716,&quot;z&quot;:0.123938},{&quot;x&quot;:1.2083,&quot;y&quot;:2.65827,&quot;z&quot;:-0.0703506},{&quot;x&quot;:1.2083,&quot;y&quot;:2.81938,&quot;z&quot;:-0.261982},{&quot;x&quot;:1.2083,&quot;y&quot;:2.98049,&quot;z&quot;:-0.443717},{&quot;x&quot;:1.2083,&quot;y&quot;:3.14159,&quot;z&quot;:-0.60869},{&quot;x&quot;:1.36941,&quot;y&quot;:-3.14159,&quot;z&quot;:0.91702},{&quot;x&quot;:1.36941,&quot;y&quot;:-2.98049,&quot;z&quot;:0.807511},{&quot;x&quot;:1.36941,&quot;y&quot;:-2.81938,&quot;z&quot;:0.658857},{&quot;x&quot;:1.36941,&quot;y&quot;:-2.65827,&quot;z&quot;:0.478263},{&quot;x&quot;:1.36941,&quot;y&quot;:-2.49716,&quot;z&quot;:0.274484},{&quot;x&quot;:1.36941,&quot;y&quot;:-2.33606,&quot;z&quot;:0.0573994},{&quot;x&quot;:1.36941,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.162468},{&quot;x&quot;:1.36941,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.374459},{&quot;x&quot;:1.36941,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.568298},{&quot;x&quot;:1.36941,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.734587},{&quot;x&quot;:1.36941,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.865266},{&quot;x&quot;:1.36941,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.953999},{&quot;x&quot;:1.36941,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.996485},{&quot;x&quot;:1.36941,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.990664},{&quot;x&quot;:1.36941,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.936819},{&quot;x&quot;:1.36941,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.837559},{&quot;x&quot;:1.36941,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.697697},{&quot;x&quot;:1.36941,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.524013},{&quot;x&quot;:1.36941,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.324926},{&quot;x&quot;:1.36941,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.110088},{&quot;x&quot;:1.36941,&quot;y&quot;:0.0805537,&quot;z&quot;:0.110088},{&quot;x&quot;:1.36941,&quot;y&quot;:0.241661,&quot;z&quot;:0.324926},{&quot;x&quot;:1.36941,&quot;y&quot;:0.402768,&quot;z&quot;:0.524013},{&quot;x&quot;:1.36941,&quot;y&quot;:0.563876,&quot;z&quot;:0.697697},{&quot;x&quot;:1.36941,&quot;y&quot;:0.724983,&quot;z&quot;:0.837559},{&quot;x&quot;:1.36941,&quot;y&quot;:0.88609,&quot;z&quot;:0.936819},{&quot;x&quot;:1.36941,&quot;y&quot;:1.0472,&quot;z&quot;:0.990664},{&quot;x&quot;:1.36941,&quot;y&quot;:1.2083,&quot;z&quot;:0.996485},{&quot;x&quot;:1.36941,&quot;y&quot;:1.36941,&quot;z&quot;:0.953999},{&quot;x&quot;:1.36941,&quot;y&quot;:1.53052,&quot;z&quot;:0.865266},{&quot;x&quot;:1.36941,&quot;y&quot;:1.69163,&quot;z&quot;:0.734587},{&quot;x&quot;:1.36941,&quot;y&quot;:1.85273,&quot;z&quot;:0.568298},{&quot;x&quot;:1.36941,&quot;y&quot;:2.01384,&quot;z&quot;:0.374459},{&quot;x&quot;:1.36941,&quot;y&quot;:2.17495,&quot;z&quot;:0.162468},{&quot;x&quot;:1.36941,&quot;y&quot;:2.33606,&quot;z&quot;:-0.0573994},{&quot;x&quot;:1.36941,&quot;y&quot;:2.49716,&quot;z&quot;:-0.274484},{&quot;x&quot;:1.36941,&quot;y&quot;:2.65827,&quot;z&quot;:-0.478263},{&quot;x&quot;:1.36941,&quot;y&quot;:2.81938,&quot;z&quot;:-0.658857},{&quot;x&quot;:1.36941,&quot;y&quot;:2.98049,&quot;z&quot;:-0.807511},{&quot;x&quot;:1.36941,&quot;y&quot;:3.14159,&quot;z&quot;:-0.91702},{&quot;x&quot;:1.53052,&quot;y&quot;:-3.14159,&quot;z&quot;:0.995407},{&quot;x&quot;:1.53052,&quot;y&quot;:-2.98049,&quot;z&quot;:0.988667},{&quot;x&quot;:1.53052,&quot;y&quot;:-2.81938,&quot;z&quot;:0.922118},{&quot;x&quot;:1.53052,&quot;y&quot;:-2.65827,&quot;z&quot;:0.799788},{&quot;x&quot;:1.53052,&quot;y&quot;:-2.49716,&quot;z&quot;:0.629076},{&quot;x&quot;:1.53052,&quot;y&quot;:-2.33606,&quot;z&quot;:0.42031},{&quot;x&quot;:1.53052,&quot;y&quot;:-2.17495,&quot;z&quot;:0.186117},{&quot;x&quot;:1.53052,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.0593342},{&quot;x&quot;:1.53052,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.301196},{&quot;x&quot;:1.53052,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.524838},{&quot;x&quot;:1.53052,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.716731},{&quot;x&quot;:1.53052,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.865266},{&quot;x&quot;:1.53052,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.961458},{&quot;x&quot;:1.53052,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.999489},{&quot;x&quot;:1.53052,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.977058},{&quot;x&quot;:1.53052,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.895521},{&quot;x&quot;:1.53052,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.759811},{&quot;x&quot;:1.53052,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.578138},{&quot;x&quot;:1.53052,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.361491},{&quot;x&quot;:1.53052,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.122977},{&quot;x&quot;:1.53052,&quot;y&quot;:0.0805537,&quot;z&quot;:0.122977},{&quot;x&quot;:1.53052,&quot;y&quot;:0.241661,&quot;z&quot;:0.361491},{&quot;x&quot;:1.53052,&quot;y&quot;:0.402768,&quot;z&quot;:0.578138},{&quot;x&quot;:1.53052,&quot;y&quot;:0.563876,&quot;z&quot;:0.759811},{&quot;x&quot;:1.53052,&quot;y&quot;:0.724983,&quot;z&quot;:0.895521},{&quot;x&quot;:1.53052,&quot;y&quot;:0.88609,&quot;z&quot;:0.977058},{&quot;x&quot;:1.53052,&quot;y&quot;:1.0472,&quot;z&quot;:0.999489},{&quot;x&quot;:1.53052,&quot;y&quot;:1.2083,&quot;z&quot;:0.961458},{&quot;x&quot;:1.53052,&quot;y&quot;:1.36941,&quot;z&quot;:0.865266},{&quot;x&quot;:1.53052,&quot;y&quot;:1.53052,&quot;z&quot;:0.716731},{&quot;x&quot;:1.53052,&quot;y&quot;:1.69163,&quot;z&quot;:0.524838},{&quot;x&quot;:1.53052,&quot;y&quot;:1.85273,&quot;z&quot;:0.301196},{&quot;x&quot;:1.53052,&quot;y&quot;:2.01384,&quot;z&quot;:0.0593342},{&quot;x&quot;:1.53052,&quot;y&quot;:2.17495,&quot;z&quot;:-0.186117},{&quot;x&quot;:1.53052,&quot;y&quot;:2.33606,&quot;z&quot;:-0.42031},{&quot;x&quot;:1.53052,&quot;y&quot;:2.49716,&quot;z&quot;:-0.629076},{&quot;x&quot;:1.53052,&quot;y&quot;:2.65827,&quot;z&quot;:-0.799788},{&quot;x&quot;:1.53052,&quot;y&quot;:2.81938,&quot;z&quot;:-0.922118},{&quot;x&quot;:1.53052,&quot;y&quot;:2.98049,&quot;z&quot;:-0.988667},{&quot;x&quot;:1.53052,&quot;y&quot;:3.14159,&quot;z&quot;:-0.995407},{&quot;x&quot;:1.69163,&quot;y&quot;:-3.14159,&quot;z&quot;:0.824197},{&quot;x&quot;:1.69163,&quot;y&quot;:-2.98049,&quot;z&quot;:0.946211},{&quot;x&quot;:1.69163,&quot;y&quot;:-2.81938,&quot;z&quot;:0.998379},{&quot;x&quot;:1.69163,&quot;y&quot;:-2.65827,&quot;z&quot;:0.976851},{&quot;x&quot;:1.69163,&quot;y&quot;:-2.49716,&quot;z&quot;:0.883216},{&quot;x&quot;:1.69163,&quot;y&quot;:-2.33606,&quot;z&quot;:0.724385},{&quot;x&quot;:1.69163,&quot;y&quot;:-2.17495,&quot;z&quot;:0.512084},{&quot;x&quot;:1.69163,&quot;y&quot;:-2.01384,&quot;z&quot;:0.261982},{&quot;x&quot;:1.69163,&quot;y&quot;:-1.85273,&quot;z&quot;:-0.00745785},{&quot;x&quot;:1.69163,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.276347},{&quot;x&quot;:1.69163,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.524838},{&quot;x&quot;:1.69163,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.734587},{&quot;x&quot;:1.69163,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.890112},{&quot;x&quot;:1.69163,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.979933},{&quot;x&quot;:1.69163,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.997419},{&quot;x&quot;:1.69163,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.94128},{&quot;x&quot;:1.69163,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.815659},{&quot;x&quot;:1.69163,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.629829},{&quot;x&quot;:1.69163,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.397509},{&quot;x&quot;:1.69163,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.135845},{&quot;x&quot;:1.69163,&quot;y&quot;:0.0805537,&quot;z&quot;:0.135845},{&quot;x&quot;:1.69163,&quot;y&quot;:0.241661,&quot;z&quot;:0.397509},{&quot;x&quot;:1.69163,&quot;y&quot;:0.402768,&quot;z&quot;:0.629829},{&quot;x&quot;:1.69163,&quot;y&quot;:0.563876,&quot;z&quot;:0.815659},{&quot;x&quot;:1.69163,&quot;y&quot;:0.724983,&quot;z&quot;:0.94128},{&quot;x&quot;:1.69163,&quot;y&quot;:0.88609,&quot;z&quot;:0.997419},{&quot;x&quot;:1.69163,&quot;y&quot;:1.0472,&quot;z&quot;:0.979933},{&quot;x&quot;:1.69163,&quot;y&quot;:1.2083,&quot;z&quot;:0.890112},{&quot;x&quot;:1.69163,&quot;y&quot;:1.36941,&quot;z&quot;:0.734587},{&quot;x&quot;:1.69163,&quot;y&quot;:1.53052,&quot;z&quot;:0.524838},{&quot;x&quot;:1.69163,&quot;y&quot;:1.69163,&quot;z&quot;:0.276347},{&quot;x&quot;:1.69163,&quot;y&quot;:1.85273,&quot;z&quot;:0.00745785},{&quot;x&quot;:1.69163,&quot;y&quot;:2.01384,&quot;z&quot;:-0.261982},{&quot;x&quot;:1.69163,&quot;y&quot;:2.17495,&quot;z&quot;:-0.512084},{&quot;x&quot;:1.69163,&quot;y&quot;:2.33606,&quot;z&quot;:-0.724385},{&quot;x&quot;:1.69163,&quot;y&quot;:2.49716,&quot;z&quot;:-0.883216},{&quot;x&quot;:1.69163,&quot;y&quot;:2.65827,&quot;z&quot;:-0.976851},{&quot;x&quot;:1.69163,&quot;y&quot;:2.81938,&quot;z&quot;:-0.998379},{&quot;x&quot;:1.69163,&quot;y&quot;:2.98049,&quot;z&quot;:-0.946211},{&quot;x&quot;:1.69163,&quot;y&quot;:3.14159,&quot;z&quot;:-0.824197},{&quot;x&quot;:1.85273,&quot;y&quot;:-3.14159,&quot;z&quot;:0.446321},{&quot;x&quot;:1.85273,&quot;y&quot;:-2.98049,&quot;z&quot;:0.689746},{&quot;x&quot;:1.85273,&quot;y&quot;:-2.81938,&quot;z&quot;:0.872173},{&quot;x&quot;:1.85273,&quot;y&quot;:-2.65827,&quot;z&quot;:0.977469},{&quot;x&quot;:1.85273,&quot;y&quot;:-2.49716,&quot;z&quot;:0.996321},{&quot;x&quot;:1.85273,&quot;y&quot;:-2.33606,&quot;z&quot;:0.927062},{&quot;x&quot;:1.85273,&quot;y&quot;:-2.17495,&quot;z&quot;:0.775817},{&quot;x&quot;:1.85273,&quot;y&quot;:-2.01384,&quot;z&quot;:0.555962},{&quot;x&quot;:1.85273,&quot;y&quot;:-1.85273,&quot;z&quot;:0.28694},{&quot;x&quot;:1.85273,&quot;y&quot;:-1.69163,&quot;z&quot;:-0.00745785},{&quot;x&quot;:1.85273,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.301196},{&quot;x&quot;:1.85273,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.568298},{&quot;x&quot;:1.85273,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.785142},{&quot;x&quot;:1.85273,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.932551},{&quot;x&quot;:1.85273,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.997488},{&quot;x&quot;:1.85273,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.974212},{&quot;x&quot;:1.85273,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.86478},{&quot;x&quot;:1.85273,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.67887},{&quot;x&quot;:1.85273,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.432924},{&quot;x&quot;:1.85273,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.148691},{&quot;x&quot;:1.85273,&quot;y&quot;:0.0805537,&quot;z&quot;:0.148691},{&quot;x&quot;:1.85273,&quot;y&quot;:0.241661,&quot;z&quot;:0.432924},{&quot;x&quot;:1.85273,&quot;y&quot;:0.402768,&quot;z&quot;:0.67887},{&quot;x&quot;:1.85273,&quot;y&quot;:0.563876,&quot;z&quot;:0.86478},{&quot;x&quot;:1.85273,&quot;y&quot;:0.724983,&quot;z&quot;:0.974212},{&quot;x&quot;:1.85273,&quot;y&quot;:0.88609,&quot;z&quot;:0.997488},{&quot;x&quot;:1.85273,&quot;y&quot;:1.0472,&quot;z&quot;:0.932551},{&quot;x&quot;:1.85273,&quot;y&quot;:1.2083,&quot;z&quot;:0.785142},{&quot;x&quot;:1.85273,&quot;y&quot;:1.36941,&quot;z&quot;:0.568298},{&quot;x&quot;:1.85273,&quot;y&quot;:1.53052,&quot;z&quot;:0.301196},{&quot;x&quot;:1.85273,&quot;y&quot;:1.69163,&quot;z&quot;:0.00745785},{&quot;x&quot;:1.85273,&quot;y&quot;:1.85273,&quot;z&quot;:-0.28694},{&quot;x&quot;:1.85273,&quot;y&quot;:2.01384,&quot;z&quot;:-0.555962},{&quot;x&quot;:1.85273,&quot;y&quot;:2.17495,&quot;z&quot;:-0.775817},{&quot;x&quot;:1.85273,&quot;y&quot;:2.33606,&quot;z&quot;:-0.927062},{&quot;x&quot;:1.85273,&quot;y&quot;:2.49716,&quot;z&quot;:-0.996321},{&quot;x&quot;:1.85273,&quot;y&quot;:2.65827,&quot;z&quot;:-0.977469},{&quot;x&quot;:1.85273,&quot;y&quot;:2.81938,&quot;z&quot;:-0.872173},{&quot;x&quot;:1.85273,&quot;y&quot;:2.98049,&quot;z&quot;:-0.689746},{&quot;x&quot;:1.85273,&quot;y&quot;:3.14159,&quot;z&quot;:-0.446321},{&quot;x&quot;:2.01384,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.0434705},{&quot;x&quot;:2.01384,&quot;y&quot;:-2.98049,&quot;z&quot;:0.277279},{&quot;x&quot;:2.01384,&quot;y&quot;:-2.81938,&quot;z&quot;:0.569095},{&quot;x&quot;:2.01384,&quot;y&quot;:-2.65827,&quot;z&quot;:0.80153},{&quot;x&quot;:2.01384,&quot;y&quot;:-2.49716,&quot;z&quot;:0.95033},{&quot;x&quot;:2.01384,&quot;y&quot;:-2.33606,&quot;z&quot;:0.999968},{&quot;x&quot;:2.01384,&quot;y&quot;:-2.17495,&quot;z&quot;:0.945266},{&quot;x&quot;:2.01384,&quot;y&quot;:-2.01384,&quot;z&quot;:0.791931},{&quot;x&quot;:2.01384,&quot;y&quot;:-1.85273,&quot;z&quot;:0.555962},{&quot;x&quot;:2.01384,&quot;y&quot;:-1.69163,&quot;z&quot;:0.261982},{&quot;x&quot;:2.01384,&quot;y&quot;:-1.53052,&quot;z&quot;:-0.0593342},{&quot;x&quot;:2.01384,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.374459},{&quot;x&quot;:2.01384,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.650512},{&quot;x&quot;:2.01384,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.858687},{&quot;x&quot;:2.01384,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.977264},{&quot;x&quot;:2.01384,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.993868},{&quot;x&quot;:2.01384,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.906769},{&quot;x&quot;:2.01384,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.725053},{&quot;x&quot;:2.01384,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.467682},{&quot;x&quot;:2.01384,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.161512},{&quot;x&quot;:2.01384,&quot;y&quot;:0.0805537,&quot;z&quot;:0.161512},{&quot;x&quot;:2.01384,&quot;y&quot;:0.241661,&quot;z&quot;:0.467682},{&quot;x&quot;:2.01384,&quot;y&quot;:0.402768,&quot;z&quot;:0.725053},{&quot;x&quot;:2.01384,&quot;y&quot;:0.563876,&quot;z&quot;:0.906769},{&quot;x&quot;:2.01384,&quot;y&quot;:0.724983,&quot;z&quot;:0.993868},{&quot;x&quot;:2.01384,&quot;y&quot;:0.88609,&quot;z&quot;:0.977264},{&quot;x&quot;:2.01384,&quot;y&quot;:1.0472,&quot;z&quot;:0.858687},{&quot;x&quot;:2.01384,&quot;y&quot;:1.2083,&quot;z&quot;:0.650512},{&quot;x&quot;:2.01384,&quot;y&quot;:1.36941,&quot;z&quot;:0.374459},{&quot;x&quot;:2.01384,&quot;y&quot;:1.53052,&quot;z&quot;:0.0593342},{&quot;x&quot;:2.01384,&quot;y&quot;:1.69163,&quot;z&quot;:-0.261982},{&quot;x&quot;:2.01384,&quot;y&quot;:1.85273,&quot;z&quot;:-0.555962},{&quot;x&quot;:2.01384,&quot;y&quot;:2.01384,&quot;z&quot;:-0.791931},{&quot;x&quot;:2.01384,&quot;y&quot;:2.17495,&quot;z&quot;:-0.945266},{&quot;x&quot;:2.01384,&quot;y&quot;:2.33606,&quot;z&quot;:-0.999968},{&quot;x&quot;:2.01384,&quot;y&quot;:2.49716,&quot;z&quot;:-0.95033},{&quot;x&quot;:2.01384,&quot;y&quot;:2.65827,&quot;z&quot;:-0.80153},{&quot;x&quot;:2.01384,&quot;y&quot;:2.81938,&quot;z&quot;:-0.569095},{&quot;x&quot;:2.01384,&quot;y&quot;:2.98049,&quot;z&quot;:-0.277279},{&quot;x&quot;:2.01384,&quot;y&quot;:3.14159,&quot;z&quot;:0.0434705},{&quot;x&quot;:2.17495,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.522361},{&quot;x&quot;:2.17495,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.197902},{&quot;x&quot;:2.17495,&quot;y&quot;:-2.81938,&quot;z&quot;:0.150607},{&quot;x&quot;:2.17495,&quot;y&quot;:-2.65827,&quot;z&quot;:0.480814},{&quot;x&quot;:2.17495,&quot;y&quot;:-2.49716,&quot;z&quot;:0.752588},{&quot;x&quot;:2.17495,&quot;y&quot;:-2.33606,&quot;z&quot;:0.9329},{&quot;x&quot;:2.17495,&quot;y&quot;:-2.17495,&quot;z&quot;:0.999838},{&quot;x&quot;:2.17495,&quot;y&quot;:-2.01384,&quot;z&quot;:0.945266},{&quot;x&quot;:2.17495,&quot;y&quot;:-1.85273,&quot;z&quot;:0.775817},{&quot;x&quot;:2.17495,&quot;y&quot;:-1.69163,&quot;z&quot;:0.512084},{&quot;x&quot;:2.17495,&quot;y&quot;:-1.53052,&quot;z&quot;:0.186117},{&quot;x&quot;:2.17495,&quot;y&quot;:-1.36941,&quot;z&quot;:-0.162468},{&quot;x&quot;:2.17495,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.491309},{&quot;x&quot;:2.17495,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.760441},{&quot;x&quot;:2.17495,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.937157},{&quot;x&quot;:2.17495,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.999982},{&quot;x&quot;:2.17495,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.94128},{&quot;x&quot;:2.17495,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.768184},{&quot;x&quot;:2.17495,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.501732},{&quot;x&quot;:2.17495,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.174305},{&quot;x&quot;:2.17495,&quot;y&quot;:0.0805537,&quot;z&quot;:0.174305},{&quot;x&quot;:2.17495,&quot;y&quot;:0.241661,&quot;z&quot;:0.501732},{&quot;x&quot;:2.17495,&quot;y&quot;:0.402768,&quot;z&quot;:0.768184},{&quot;x&quot;:2.17495,&quot;y&quot;:0.563876,&quot;z&quot;:0.94128},{&quot;x&quot;:2.17495,&quot;y&quot;:0.724983,&quot;z&quot;:0.999982},{&quot;x&quot;:2.17495,&quot;y&quot;:0.88609,&quot;z&quot;:0.937157},{&quot;x&quot;:2.17495,&quot;y&quot;:1.0472,&quot;z&quot;:0.760441},{&quot;x&quot;:2.17495,&quot;y&quot;:1.2083,&quot;z&quot;:0.491309},{&quot;x&quot;:2.17495,&quot;y&quot;:1.36941,&quot;z&quot;:0.162468},{&quot;x&quot;:2.17495,&quot;y&quot;:1.53052,&quot;z&quot;:-0.186117},{&quot;x&quot;:2.17495,&quot;y&quot;:1.69163,&quot;z&quot;:-0.512084},{&quot;x&quot;:2.17495,&quot;y&quot;:1.85273,&quot;z&quot;:-0.775817},{&quot;x&quot;:2.17495,&quot;y&quot;:2.01384,&quot;z&quot;:-0.945266},{&quot;x&quot;:2.17495,&quot;y&quot;:2.17495,&quot;z&quot;:-0.999838},{&quot;x&quot;:2.17495,&quot;y&quot;:2.33606,&quot;z&quot;:-0.9329},{&quot;x&quot;:2.17495,&quot;y&quot;:2.49716,&quot;z&quot;:-0.752588},{&quot;x&quot;:2.17495,&quot;y&quot;:2.65827,&quot;z&quot;:-0.480814},{&quot;x&quot;:2.17495,&quot;y&quot;:2.81938,&quot;z&quot;:-0.150607},{&quot;x&quot;:2.17495,&quot;y&quot;:2.98049,&quot;z&quot;:0.197902},{&quot;x&quot;:2.17495,&quot;y&quot;:3.14159,&quot;z&quot;:0.522361},{&quot;x&quot;:2.33606,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.870271},{&quot;x&quot;:2.33606,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.628323},{&quot;x&quot;:2.33606,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.298423},{&quot;x&quot;:2.33606,&quot;y&quot;:-2.65827,&quot;z&quot;:0.0732502},{&quot;x&quot;:2.33606,&quot;y&quot;:-2.49716,&quot;z&quot;:0.43467},{&quot;x&quot;:2.33606,&quot;y&quot;:-2.33606,&quot;z&quot;:0.735244},{&quot;x&quot;:2.33606,&quot;y&quot;:-2.17495,&quot;z&quot;:0.9329},{&quot;x&quot;:2.33606,&quot;y&quot;:-2.01384,&quot;z&quot;:0.999968},{&quot;x&quot;:2.33606,&quot;y&quot;:-1.85273,&quot;z&quot;:0.927062},{&quot;x&quot;:2.33606,&quot;y&quot;:-1.69163,&quot;z&quot;:0.724385},{&quot;x&quot;:2.33606,&quot;y&quot;:-1.53052,&quot;z&quot;:0.42031},{&quot;x&quot;:2.33606,&quot;y&quot;:-1.36941,&quot;z&quot;:0.0573994},{&quot;x&quot;:2.33606,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.313546},{&quot;x&quot;:2.33606,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.640601},{&quot;x&quot;:2.33606,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.877985},{&quot;x&quot;:2.33606,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.992469},{&quot;x&quot;:2.33606,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.968028},{&quot;x&quot;:2.33606,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.808082},{&quot;x&quot;:2.33606,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.535022},{&quot;x&quot;:2.33606,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.187069},{&quot;x&quot;:2.33606,&quot;y&quot;:0.0805537,&quot;z&quot;:0.187069},{&quot;x&quot;:2.33606,&quot;y&quot;:0.241661,&quot;z&quot;:0.535022},{&quot;x&quot;:2.33606,&quot;y&quot;:0.402768,&quot;z&quot;:0.808082},{&quot;x&quot;:2.33606,&quot;y&quot;:0.563876,&quot;z&quot;:0.968028},{&quot;x&quot;:2.33606,&quot;y&quot;:0.724983,&quot;z&quot;:0.992469},{&quot;x&quot;:2.33606,&quot;y&quot;:0.88609,&quot;z&quot;:0.877985},{&quot;x&quot;:2.33606,&quot;y&quot;:1.0472,&quot;z&quot;:0.640601},{&quot;x&quot;:2.33606,&quot;y&quot;:1.2083,&quot;z&quot;:0.313546},{&quot;x&quot;:2.33606,&quot;y&quot;:1.36941,&quot;z&quot;:-0.0573994},{&quot;x&quot;:2.33606,&quot;y&quot;:1.53052,&quot;z&quot;:-0.42031},{&quot;x&quot;:2.33606,&quot;y&quot;:1.69163,&quot;z&quot;:-0.724385},{&quot;x&quot;:2.33606,&quot;y&quot;:1.85273,&quot;z&quot;:-0.927062},{&quot;x&quot;:2.33606,&quot;y&quot;:2.01384,&quot;z&quot;:-0.999968},{&quot;x&quot;:2.33606,&quot;y&quot;:2.17495,&quot;z&quot;:-0.9329},{&quot;x&quot;:2.33606,&quot;y&quot;:2.33606,&quot;z&quot;:-0.735244},{&quot;x&quot;:2.33606,&quot;y&quot;:2.49716,&quot;z&quot;:-0.43467},{&quot;x&quot;:2.33606,&quot;y&quot;:2.65827,&quot;z&quot;:-0.0732502},{&quot;x&quot;:2.33606,&quot;y&quot;:2.81938,&quot;z&quot;:0.298423},{&quot;x&quot;:2.33606,&quot;y&quot;:2.98049,&quot;z&quot;:0.628323},{&quot;x&quot;:2.33606,&quot;y&quot;:3.14159,&quot;z&quot;:0.870271},{&quot;x&quot;:2.49716,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.99996},{&quot;x&quot;:2.49716,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.916633},{&quot;x&quot;:2.49716,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.686934},{&quot;x&quot;:2.49716,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.347544},{&quot;x&quot;:2.49716,&quot;y&quot;:-2.49716,&quot;z&quot;:0.0473426},{&quot;x&quot;:2.49716,&quot;y&quot;:-2.33606,&quot;z&quot;:0.43467},{&quot;x&quot;:2.49716,&quot;y&quot;:-2.17495,&quot;z&quot;:0.752588},{&quot;x&quot;:2.49716,&quot;y&quot;:-2.01384,&quot;z&quot;:0.95033},{&quot;x&quot;:2.49716,&quot;y&quot;:-1.85273,&quot;z&quot;:0.996321},{&quot;x&quot;:2.49716,&quot;y&quot;:-1.69163,&quot;z&quot;:0.883216},{&quot;x&quot;:2.49716,&quot;y&quot;:-1.53052,&quot;z&quot;:0.629076},{&quot;x&quot;:2.49716,&quot;y&quot;:-1.36941,&quot;z&quot;:0.274484},{&quot;x&quot;:2.49716,&quot;y&quot;:-1.2083,&quot;z&quot;:-0.123938},{&quot;x&quot;:2.49716,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.50257},{&quot;x&quot;:2.49716,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.80095},{&quot;x&quot;:2.49716,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.971432},{&quot;x&quot;:2.49716,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.986792},{&quot;x&quot;:2.49716,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.844579},{&quot;x&quot;:2.49716,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.5675},{&quot;x&quot;:2.49716,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.199802},{&quot;x&quot;:2.49716,&quot;y&quot;:0.0805537,&quot;z&quot;:0.199802},{&quot;x&quot;:2.49716,&quot;y&quot;:0.241661,&quot;z&quot;:0.5675},{&quot;x&quot;:2.49716,&quot;y&quot;:0.402768,&quot;z&quot;:0.844579},{&quot;x&quot;:2.49716,&quot;y&quot;:0.563876,&quot;z&quot;:0.986792},{&quot;x&quot;:2.49716,&quot;y&quot;:0.724983,&quot;z&quot;:0.971432},{&quot;x&quot;:2.49716,&quot;y&quot;:0.88609,&quot;z&quot;:0.80095},{&quot;x&quot;:2.49716,&quot;y&quot;:1.0472,&quot;z&quot;:0.50257},{&quot;x&quot;:2.49716,&quot;y&quot;:1.2083,&quot;z&quot;:0.123938},{&quot;x&quot;:2.49716,&quot;y&quot;:1.36941,&quot;z&quot;:-0.274484},{&quot;x&quot;:2.49716,&quot;y&quot;:1.53052,&quot;z&quot;:-0.629076},{&quot;x&quot;:2.49716,&quot;y&quot;:1.69163,&quot;z&quot;:-0.883216},{&quot;x&quot;:2.49716,&quot;y&quot;:1.85273,&quot;z&quot;:-0.996321},{&quot;x&quot;:2.49716,&quot;y&quot;:2.01384,&quot;z&quot;:-0.95033},{&quot;x&quot;:2.49716,&quot;y&quot;:2.17495,&quot;z&quot;:-0.752588},{&quot;x&quot;:2.49716,&quot;y&quot;:2.33606,&quot;z&quot;:-0.43467},{&quot;x&quot;:2.49716,&quot;y&quot;:2.49716,&quot;z&quot;:-0.0473426},{&quot;x&quot;:2.49716,&quot;y&quot;:2.65827,&quot;z&quot;:0.347544},{&quot;x&quot;:2.49716,&quot;y&quot;:2.81938,&quot;z&quot;:0.686934},{&quot;x&quot;:2.49716,&quot;y&quot;:2.98049,&quot;z&quot;:0.916633},{&quot;x&quot;:2.49716,&quot;y&quot;:3.14159,&quot;z&quot;:0.99996},{&quot;x&quot;:2.65827,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.878911},{&quot;x&quot;:2.65827,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.997624},{&quot;x&quot;:2.65827,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.936139},{&quot;x&quot;:2.65827,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.705563},{&quot;x&quot;:2.65827,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.347544},{&quot;x&quot;:2.65827,&quot;y&quot;:-2.33606,&quot;z&quot;:0.0732502},{&quot;x&quot;:2.65827,&quot;y&quot;:-2.17495,&quot;z&quot;:0.480814},{&quot;x&quot;:2.65827,&quot;y&quot;:-2.01384,&quot;z&quot;:0.80153},{&quot;x&quot;:2.65827,&quot;y&quot;:-1.85273,&quot;z&quot;:0.977469},{&quot;x&quot;:2.65827,&quot;y&quot;:-1.69163,&quot;z&quot;:0.976851},{&quot;x&quot;:2.65827,&quot;y&quot;:-1.53052,&quot;z&quot;:0.799788},{&quot;x&quot;:2.65827,&quot;y&quot;:-1.36941,&quot;z&quot;:0.478263},{&quot;x&quot;:2.65827,&quot;y&quot;:-1.2083,&quot;z&quot;:0.0703506},{&quot;x&quot;:2.65827,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.350269},{&quot;x&quot;:2.65827,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.707621},{&quot;x&quot;:2.65827,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.937157},{&quot;x&quot;:2.65827,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.997419},{&quot;x&quot;:2.65827,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.877521},{&quot;x&quot;:2.65827,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.599119},{&quot;x&quot;:2.65827,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.212501},{&quot;x&quot;:2.65827,&quot;y&quot;:0.0805537,&quot;z&quot;:0.212501},{&quot;x&quot;:2.65827,&quot;y&quot;:0.241661,&quot;z&quot;:0.599119},{&quot;x&quot;:2.65827,&quot;y&quot;:0.402768,&quot;z&quot;:0.877521},{&quot;x&quot;:2.65827,&quot;y&quot;:0.563876,&quot;z&quot;:0.997419},{&quot;x&quot;:2.65827,&quot;y&quot;:0.724983,&quot;z&quot;:0.937157},{&quot;x&quot;:2.65827,&quot;y&quot;:0.88609,&quot;z&quot;:0.707621},{&quot;x&quot;:2.65827,&quot;y&quot;:1.0472,&quot;z&quot;:0.350269},{&quot;x&quot;:2.65827,&quot;y&quot;:1.2083,&quot;z&quot;:-0.0703506},{&quot;x&quot;:2.65827,&quot;y&quot;:1.36941,&quot;z&quot;:-0.478263},{&quot;x&quot;:2.65827,&quot;y&quot;:1.53052,&quot;z&quot;:-0.799788},{&quot;x&quot;:2.65827,&quot;y&quot;:1.69163,&quot;z&quot;:-0.976851},{&quot;x&quot;:2.65827,&quot;y&quot;:1.85273,&quot;z&quot;:-0.977469},{&quot;x&quot;:2.65827,&quot;y&quot;:2.01384,&quot;z&quot;:-0.80153},{&quot;x&quot;:2.65827,&quot;y&quot;:2.17495,&quot;z&quot;:-0.480814},{&quot;x&quot;:2.65827,&quot;y&quot;:2.33606,&quot;z&quot;:-0.0732502},{&quot;x&quot;:2.65827,&quot;y&quot;:2.49716,&quot;z&quot;:0.347544},{&quot;x&quot;:2.65827,&quot;y&quot;:2.65827,&quot;z&quot;:0.705563},{&quot;x&quot;:2.65827,&quot;y&quot;:2.81938,&quot;z&quot;:0.936139},{&quot;x&quot;:2.65827,&quot;y&quot;:2.98049,&quot;z&quot;:0.997624},{&quot;x&quot;:2.65827,&quot;y&quot;:3.14159,&quot;z&quot;:0.878911},{&quot;x&quot;:2.81938,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.537476},{&quot;x&quot;:2.81938,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.852977},{&quot;x&quot;:2.81938,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.995499},{&quot;x&quot;:2.81938,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.936139},{&quot;x&quot;:2.81938,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.686934},{&quot;x&quot;:2.81938,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.298423},{&quot;x&quot;:2.81938,&quot;y&quot;:-2.17495,&quot;z&quot;:0.150607},{&quot;x&quot;:2.81938,&quot;y&quot;:-2.01384,&quot;z&quot;:0.569095},{&quot;x&quot;:2.81938,&quot;y&quot;:-1.85273,&quot;z&quot;:0.872173},{&quot;x&quot;:2.81938,&quot;y&quot;:-1.69163,&quot;z&quot;:0.998379},{&quot;x&quot;:2.81938,&quot;y&quot;:-1.53052,&quot;z&quot;:0.922118},{&quot;x&quot;:2.81938,&quot;y&quot;:-1.36941,&quot;z&quot;:0.658857},{&quot;x&quot;:2.81938,&quot;y&quot;:-1.2083,&quot;z&quot;:0.261982},{&quot;x&quot;:2.81938,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.188021},{&quot;x&quot;:2.81938,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.599895},{&quot;x&quot;:2.81938,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.890112},{&quot;x&quot;:2.81938,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.99982},{&quot;x&quot;:2.81938,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.906769},{&quot;x&quot;:2.81938,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.629829},{&quot;x&quot;:2.81938,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.225164},{&quot;x&quot;:2.81938,&quot;y&quot;:0.0805537,&quot;z&quot;:0.225164},{&quot;x&quot;:2.81938,&quot;y&quot;:0.241661,&quot;z&quot;:0.629829},{&quot;x&quot;:2.81938,&quot;y&quot;:0.402768,&quot;z&quot;:0.906769},{&quot;x&quot;:2.81938,&quot;y&quot;:0.563876,&quot;z&quot;:0.99982},{&quot;x&quot;:2.81938,&quot;y&quot;:0.724983,&quot;z&quot;:0.890112},{&quot;x&quot;:2.81938,&quot;y&quot;:0.88609,&quot;z&quot;:0.599895},{&quot;x&quot;:2.81938,&quot;y&quot;:1.0472,&quot;z&quot;:0.188021},{&quot;x&quot;:2.81938,&quot;y&quot;:1.2083,&quot;z&quot;:-0.261982},{&quot;x&quot;:2.81938,&quot;y&quot;:1.36941,&quot;z&quot;:-0.658857},{&quot;x&quot;:2.81938,&quot;y&quot;:1.53052,&quot;z&quot;:-0.922118},{&quot;x&quot;:2.81938,&quot;y&quot;:1.69163,&quot;z&quot;:-0.998379},{&quot;x&quot;:2.81938,&quot;y&quot;:1.85273,&quot;z&quot;:-0.872173},{&quot;x&quot;:2.81938,&quot;y&quot;:2.01384,&quot;z&quot;:-0.569095},{&quot;x&quot;:2.81938,&quot;y&quot;:2.17495,&quot;z&quot;:-0.150607},{&quot;x&quot;:2.81938,&quot;y&quot;:2.33606,&quot;z&quot;:0.298423},{&quot;x&quot;:2.81938,&quot;y&quot;:2.49716,&quot;z&quot;:0.686934},{&quot;x&quot;:2.81938,&quot;y&quot;:2.65827,&quot;z&quot;:0.936139},{&quot;x&quot;:2.81938,&quot;y&quot;:2.81938,&quot;z&quot;:0.995499},{&quot;x&quot;:2.81938,&quot;y&quot;:2.98049,&quot;z&quot;:0.852977},{&quot;x&quot;:2.81938,&quot;y&quot;:3.14159,&quot;z&quot;:0.537476},{&quot;x&quot;:2.98049,&quot;y&quot;:-3.14159,&quot;z&quot;:-0.0612687},{&quot;x&quot;:2.98049,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.515409},{&quot;x&quot;:2.98049,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.852977},{&quot;x&quot;:2.98049,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.997624},{&quot;x&quot;:2.98049,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.916633},{&quot;x&quot;:2.98049,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.628323},{&quot;x&quot;:2.98049,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.197902},{&quot;x&quot;:2.98049,&quot;y&quot;:-2.01384,&quot;z&quot;:0.277279},{&quot;x&quot;:2.98049,&quot;y&quot;:-1.85273,&quot;z&quot;:0.689746},{&quot;x&quot;:2.98049,&quot;y&quot;:-1.69163,&quot;z&quot;:0.946211},{&quot;x&quot;:2.98049,&quot;y&quot;:-1.53052,&quot;z&quot;:0.988667},{&quot;x&quot;:2.98049,&quot;y&quot;:-1.36941,&quot;z&quot;:0.807511},{&quot;x&quot;:2.98049,&quot;y&quot;:-1.2083,&quot;z&quot;:0.443717},{&quot;x&quot;:2.98049,&quot;y&quot;:-1.0472,&quot;z&quot;:-0.0204343},{&quot;x&quot;:2.98049,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.479964},{&quot;x&quot;:2.98049,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.830938},{&quot;x&quot;:2.98049,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.993975},{&quot;x&quot;:2.98049,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.9322},{&quot;x&quot;:2.98049,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.659585},{&quot;x&quot;:2.98049,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.237789},{&quot;x&quot;:2.98049,&quot;y&quot;:0.0805537,&quot;z&quot;:0.237789},{&quot;x&quot;:2.98049,&quot;y&quot;:0.241661,&quot;z&quot;:0.659585},{&quot;x&quot;:2.98049,&quot;y&quot;:0.402768,&quot;z&quot;:0.9322},{&quot;x&quot;:2.98049,&quot;y&quot;:0.563876,&quot;z&quot;:0.993975},{&quot;x&quot;:2.98049,&quot;y&quot;:0.724983,&quot;z&quot;:0.830938},{&quot;x&quot;:2.98049,&quot;y&quot;:0.88609,&quot;z&quot;:0.479964},{&quot;x&quot;:2.98049,&quot;y&quot;:1.0472,&quot;z&quot;:0.0204343},{&quot;x&quot;:2.98049,&quot;y&quot;:1.2083,&quot;z&quot;:-0.443717},{&quot;x&quot;:2.98049,&quot;y&quot;:1.36941,&quot;z&quot;:-0.807511},{&quot;x&quot;:2.98049,&quot;y&quot;:1.53052,&quot;z&quot;:-0.988667},{&quot;x&quot;:2.98049,&quot;y&quot;:1.69163,&quot;z&quot;:-0.946211},{&quot;x&quot;:2.98049,&quot;y&quot;:1.85273,&quot;z&quot;:-0.689746},{&quot;x&quot;:2.98049,&quot;y&quot;:2.01384,&quot;z&quot;:-0.277279},{&quot;x&quot;:2.98049,&quot;y&quot;:2.17495,&quot;z&quot;:0.197902},{&quot;x&quot;:2.98049,&quot;y&quot;:2.33606,&quot;z&quot;:0.628323},{&quot;x&quot;:2.98049,&quot;y&quot;:2.49716,&quot;z&quot;:0.916633},{&quot;x&quot;:2.98049,&quot;y&quot;:2.65827,&quot;z&quot;:0.997624},{&quot;x&quot;:2.98049,&quot;y&quot;:2.81938,&quot;z&quot;:0.852977},{&quot;x&quot;:2.98049,&quot;y&quot;:2.98049,&quot;z&quot;:0.515409},{&quot;x&quot;:2.98049,&quot;y&quot;:3.14159,&quot;z&quot;:0.0612687},{&quot;x&quot;:3.14159,&quot;y&quot;:-3.14159,&quot;z&quot;:0.430301},{&quot;x&quot;:3.14159,&quot;y&quot;:-2.98049,&quot;z&quot;:-0.0612687},{&quot;x&quot;:3.14159,&quot;y&quot;:-2.81938,&quot;z&quot;:-0.537476},{&quot;x&quot;:3.14159,&quot;y&quot;:-2.65827,&quot;z&quot;:-0.878911},{&quot;x&quot;:3.14159,&quot;y&quot;:-2.49716,&quot;z&quot;:-0.99996},{&quot;x&quot;:3.14159,&quot;y&quot;:-2.33606,&quot;z&quot;:-0.870271},{&quot;x&quot;:3.14159,&quot;y&quot;:-2.17495,&quot;z&quot;:-0.522361},{&quot;x&quot;:3.14159,&quot;y&quot;:-2.01384,&quot;z&quot;:-0.0434705},{&quot;x&quot;:3.14159,&quot;y&quot;:-1.85273,&quot;z&quot;:0.446321},{&quot;x&quot;:3.14159,&quot;y&quot;:-1.69163,&quot;z&quot;:0.824197},{&quot;x&quot;:3.14159,&quot;y&quot;:-1.53052,&quot;z&quot;:0.995407},{&quot;x&quot;:3.14159,&quot;y&quot;:-1.36941,&quot;z&quot;:0.91702},{&quot;x&quot;:3.14159,&quot;y&quot;:-1.2083,&quot;z&quot;:0.60869},{&quot;x&quot;:3.14159,&quot;y&quot;:-1.0472,&quot;z&quot;:0.147733},{&quot;x&quot;:3.14159,&quot;y&quot;:-0.88609,&quot;z&quot;:-0.350269},{&quot;x&quot;:3.14159,&quot;y&quot;:-0.724983,&quot;z&quot;:-0.760441},{&quot;x&quot;:3.14159,&quot;y&quot;:-0.563876,&quot;z&quot;:-0.979933},{&quot;x&quot;:3.14159,&quot;y&quot;:-0.402768,&quot;z&quot;:-0.953708},{&quot;x&quot;:3.14159,&quot;y&quot;:-0.241661,&quot;z&quot;:-0.688342},{&quot;x&quot;:3.14159,&quot;y&quot;:-0.0805537,&quot;z&quot;:-0.250374},{&quot;x&quot;:3.14159,&quot;y&quot;:0.0805537,&quot;z&quot;:0.250374},{&quot;x&quot;:3.14159,&quot;y&quot;:0.241661,&quot;z&quot;:0.688342},{&quot;x&quot;:3.14159,&quot;y&quot;:0.402768,&quot;z&quot;:0.953708},{&quot;x&quot;:3.14159,&quot;y&quot;:0.563876,&quot;z&quot;:0.979933},{&quot;x&quot;:3.14159,&quot;y&quot;:0.724983,&quot;z&quot;:0.760441},{&quot;x&quot;:3.14159,&quot;y&quot;:0.88609,&quot;z&quot;:0.350269},{&quot;x&quot;:3.14159,&quot;y&quot;:1.0472,&quot;z&quot;:-0.147733},{&quot;x&quot;:3.14159,&quot;y&quot;:1.2083,&quot;z&quot;:-0.60869},{&quot;x&quot;:3.14159,&quot;y&quot;:1.36941,&quot;z&quot;:-0.91702},{&quot;x&quot;:3.14159,&quot;y&quot;:1.53052,&quot;z&quot;:-0.995407},{&quot;x&quot;:3.14159,&quot;y&quot;:1.69163,&quot;z&quot;:-0.824197},{&quot;x&quot;:3.14159,&quot;y&quot;:1.85273,&quot;z&quot;:-0.446321},{&quot;x&quot;:3.14159,&quot;y&quot;:2.01384,&quot;z&quot;:0.0434705},{&quot;x&quot;:3.14159,&quot;y&quot;:2.17495,&quot;z&quot;:0.522361},{&quot;x&quot;:3.14159,&quot;y&quot;:2.33606,&quot;z&quot;:0.870271},{&quot;x&quot;:3.14159,&quot;y&quot;:2.49716,&quot;z&quot;:0.99996},{&quot;x&quot;:3.14159,&quot;y&quot;:2.65827,&quot;z&quot;:0.878911},{&quot;x&quot;:3.14159,&quot;y&quot;:2.81938,&quot;z&quot;:0.537476},{&quot;x&quot;:3.14159,&quot;y&quot;:2.98049,&quot;z&quot;:0.0612687},{&quot;x&quot;:3.14159,&quot;y&quot;:3.14159,&quot;z&quot;:-0.430301}], &quot;faces&quot;:[[0,1,41,40],[1,2,42,41],[2,3,43,42],[3,4,44,43],[4,5,45,44],[5,6,46,45],[6,7,47,46],[7,8,48,47],[8,9,49,48],[9,10,50,49],[10,11,51,50],[11,12,52,51],[12,13,53,52],[13,14,54,53],[14,15,55,54],[15,16,56,55],[16,17,57,56],[17,18,58,57],[18,19,59,58],[19,20,60,59],[20,21,61,60],[21,22,62,61],[22,23,63,62],[23,24,64,63],[24,25,65,64],[25,26,66,65],[26,27,67,66],[27,28,68,67],[28,29,69,68],[29,30,70,69],[30,31,71,70],[31,32,72,71],[32,33,73,72],[33,34,74,73],[34,35,75,74],[35,36,76,75],[36,37,77,76],[37,38,78,77],[38,39,79,78],[40,41,81,80],[41,42,82,81],[42,43,83,82],[43,44,84,83],[44,45,85,84],[45,46,86,85],[46,47,87,86],[47,48,88,87],[48,49,89,88],[49,50,90,89],[50,51,91,90],[51,52,92,91],[52,53,93,92],[53,54,94,93],[54,55,95,94],[55,56,96,95],[56,57,97,96],[57,58,98,97],[58,59,99,98],[59,60,100,99],[60,61,101,100],[61,62,102,101],[62,63,103,102],[63,64,104,103],[64,65,105,104],[65,66,106,105],[66,67,107,106],[67,68,108,107],[68,69,109,108],[69,70,110,109],[70,71,111,110],[71,72,112,111],[72,73,113,112],[73,74,114,113],[74,75,115,114],[75,76,116,115],[76,77,117,116],[77,78,118,117],[78,79,119,118],[80,81,121,120],[81,82,122,121],[82,83,123,122],[83,84,124,123],[84,85,125,124],[85,86,126,125],[86,87,127,126],[87,88,128,127],[88,89,129,128],[89,90,130,129],[90,91,131,130],[91,92,132,131],[92,93,133,132],[93,94,134,133],[94,95,135,134],[95,96,136,135],[96,97,137,136],[97,98,138,137],[98,99,139,138],[99,100,140,139],[100,101,141,140],[101,102,142,141],[102,103,143,142],[103,104,144,143],[104,105,145,144],[105,106,146,145],[106,107,147,146],[107,108,148,147],[108,109,149,148],[109,110,150,149],[110,111,151,150],[111,112,152,151],[112,113,153,152],[113,114,154,153],[114,115,155,154],[115,116,156,155],[116,117,157,156],[117,118,158,157],[118,119,159,158],[120,121,161,160],[121,122,162,161],[122,123,163,162],[123,124,164,163],[124,125,165,164],[125,126,166,165],[126,127,167,166],[127,128,168,167],[128,129,169,168],[129,130,170,169],[130,131,171,170],[131,132,172,171],[132,133,173,172],[133,134,174,173],[134,135,175,174],[135,136,176,175],[136,137,177,176],[137,138,178,177],[138,139,179,178],[139,140,180,179],[140,141,181,180],[141,142,182,181],[142,143,183,182],[143,144,184,183],[144,145,185,184],[145,146,186,185],[146,147,187,186],[147,148,188,187],[148,149,189,188],[149,150,190,189],[150,151,191,190],[151,152,192,191],[152,153,193,192],[153,154,194,193],[154,155,195,194],[155,156,196,195],[156,157,197,196],[157,158,198,197],[158,159,199,198],[160,161,201,200],[161,162,202,201],[162,163,203,202],[163,164,204,203],[164,165,205,204],[165,166,206,205],[166,167,207,206],[167,168,208,207],[168,169,209,208],[169,170,210,209],[170,171,211,210],[171,172,212,211],[172,173,213,212],[173,174,214,213],[174,175,215,214],[175,176,216,215],[176,177,217,216],[177,178,218,217],[178,179,219,218],[179,180,220,219],[180,181,221,220],[181,182,222,221],[182,183,223,222],[183,184,224,223],[184,185,225,224],[185,186,226,225],[186,187,227,226],[187,188,228,227],[188,189,229,228],[189,190,230,229],[190,191,231,230],[191,192,232,231],[192,193,233,232],[193,194,234,233],[194,195,235,234],[195,196,236,235],[196,197,237,236],[197,198,238,237],[198,199,239,238],[200,201,241,240],[201,202,242,241],[202,203,243,242],[203,204,244,243],[204,205,245,244],[205,206,246,245],[206,207,247,246],[207,208,248,247],[208,209,249,248],[209,210,250,249],[210,211,251,250],[211,212,252,251],[212,213,253,252],[213,214,254,253],[214,215,255,254],[215,216,256,255],[216,217,257,256],[217,218,258,257],[218,219,259,258],[219,220,260,259],[220,221,261,260],[221,222,262,261],[222,223,263,262],[223,224,264,263],[224,225,265,264],[225,226,266,265],[226,227,267,266],[227,228,268,267],[228,229,269,268],[229,230,270,269],[230,231,271,270],[231,232,272,271],[232,233,273,272],[233,234,274,273],[234,235,275,274],[235,236,276,275],[236,237,277,276],[237,238,278,277],[238,239,279,278],[240,241,281,280],[241,242,282,281],[242,243,283,282],[243,244,284,283],[244,245,285,284],[245,246,286,285],[246,247,287,286],[247,248,288,287],[248,249,289,288],[249,250,290,289],[250,251,291,290],[251,252,292,291],[252,253,293,292],[253,254,294,293],[254,255,295,294],[255,256,296,295],[256,257,297,296],[257,258,298,297],[258,259,299,298],[259,260,300,299],[260,261,301,300],[261,262,302,301],[262,263,303,302],[263,264,304,303],[264,265,305,304],[265,266,306,305],[266,267,307,306],[267,268,308,307],[268,269,309,308],[269,270,310,309],[270,271,311,310],[271,272,312,311],[272,273,313,312],[273,274,314,313],[274,275,315,314],[275,276,316,315],[276,277,317,316],[277,278,318,317],[278,279,319,318],[280,281,321,320],[281,282,322,321],[282,283,323,322],[283,284,324,323],[284,285,325,324],[285,286,326,325],[286,287,327,326],[287,288,328,327],[288,289,329,328],[289,290,330,329],[290,291,331,330],[291,292,332,331],[292,293,333,332],[293,294,334,333],[294,295,335,334],[295,296,336,335],[296,297,337,336],[297,298,338,337],[298,299,339,338],[299,300,340,339],[300,301,341,340],[301,302,342,341],[302,303,343,342],[303,304,344,343],[304,305,345,344],[305,306,346,345],[306,307,347,346],[307,308,348,347],[308,309,349,348],[309,310,350,349],[310,311,351,350],[311,312,352,351],[312,313,353,352],[313,314,354,353],[314,315,355,354],[315,316,356,355],[316,317,357,356],[317,318,358,357],[318,319,359,358],[320,321,361,360],[321,322,362,361],[322,323,363,362],[323,324,364,363],[324,325,365,364],[325,326,366,365],[326,327,367,366],[327,328,368,367],[328,329,369,368],[329,330,370,369],[330,331,371,370],[331,332,372,371],[332,333,373,372],[333,334,374,373],[334,335,375,374],[335,336,376,375],[336,337,377,376],[337,338,378,377],[338,339,379,378],[339,340,380,379],[340,341,381,380],[341,342,382,381],[342,343,383,382],[343,344,384,383],[344,345,385,384],[345,346,386,385],[346,347,387,386],[347,348,388,387],[348,349,389,388],[349,350,390,389],[350,351,391,390],[351,352,392,391],[352,353,393,392],[353,354,394,393],[354,355,395,394],[355,356,396,395],[356,357,397,396],[357,358,398,397],[358,359,399,398],[360,361,401,400],[361,362,402,401],[362,363,403,402],[363,364,404,403],[364,365,405,404],[365,366,406,405],[366,367,407,406],[367,368,408,407],[368,369,409,408],[369,370,410,409],[370,371,411,410],[371,372,412,411],[372,373,413,412],[373,374,414,413],[374,375,415,414],[375,376,416,415],[376,377,417,416],[377,378,418,417],[378,379,419,418],[379,380,420,419],[380,381,421,420],[381,382,422,421],[382,383,423,422],[383,384,424,423],[384,385,425,424],[385,386,426,425],[386,387,427,426],[387,388,428,427],[388,389,429,428],[389,390,430,429],[390,391,431,430],[391,392,432,431],[392,393,433,432],[393,394,434,433],[394,395,435,434],[395,396,436,435],[396,397,437,436],[397,398,438,437],[398,399,439,438],[400,401,441,440],[401,402,442,441],[402,403,443,442],[403,404,444,443],[404,405,445,444],[405,406,446,445],[406,407,447,446],[407,408,448,447],[408,409,449,448],[409,410,450,449],[410,411,451,450],[411,412,452,451],[412,413,453,452],[413,414,454,453],[414,415,455,454],[415,416,456,455],[416,417,457,456],[417,418,458,457],[418,419,459,458],[419,420,460,459],[420,421,461,460],[421,422,462,461],[422,423,463,462],[423,424,464,463],[424,425,465,464],[425,426,466,465],[426,427,467,466],[427,428,468,467],[428,429,469,468],[429,430,470,469],[430,431,471,470],[431,432,472,471],[432,433,473,472],[433,434,474,473],[434,435,475,474],[435,436,476,475],[436,437,477,476],[437,438,478,477],[438,439,479,478],[440,441,481,480],[441,442,482,481],[442,443,483,482],[443,444,484,483],[444,445,485,484],[445,446,486,485],[446,447,487,486],[447,448,488,487],[448,449,489,488],[449,450,490,489],[450,451,491,490],[451,452,492,491],[452,453,493,492],[453,454,494,493],[454,455,495,494],[455,456,496,495],[456,457,497,496],[457,458,498,497],[458,459,499,498],[459,460,500,499],[460,461,501,500],[461,462,502,501],[462,463,503,502],[463,464,504,503],[464,465,505,504],[465,466,506,505],[466,467,507,506],[467,468,508,507],[468,469,509,508],[469,470,510,509],[470,471,511,510],[471,472,512,511],[472,473,513,512],[473,474,514,513],[474,475,515,514],[475,476,516,515],[476,477,517,516],[477,478,518,517],[478,479,519,518],[480,481,521,520],[481,482,522,521],[482,483,523,522],[483,484,524,523],[484,485,525,524],[485,486,526,525],[486,487,527,526],[487,488,528,527],[488,489,529,528],[489,490,530,529],[490,491,531,530],[491,492,532,531],[492,493,533,532],[493,494,534,533],[494,495,535,534],[495,496,536,535],[496,497,537,536],[497,498,538,537],[498,499,539,538],[499,500,540,539],[500,501,541,540],[501,502,542,541],[502,503,543,542],[503,504,544,543],[504,505,545,544],[505,506,546,545],[506,507,547,546],[507,508,548,547],[508,509,549,548],[509,510,550,549],[510,511,551,550],[511,512,552,551],[512,513,553,552],[513,514,554,553],[514,515,555,554],[515,516,556,555],[516,517,557,556],[517,518,558,557],[518,519,559,558],[520,521,561,560],[521,522,562,561],[522,523,563,562],[523,524,564,563],[524,525,565,564],[525,526,566,565],[526,527,567,566],[527,528,568,567],[528,529,569,568],[529,530,570,569],[530,531,571,570],[531,532,572,571],[532,533,573,572],[533,534,574,573],[534,535,575,574],[535,536,576,575],[536,537,577,576],[537,538,578,577],[538,539,579,578],[539,540,580,579],[540,541,581,580],[541,542,582,581],[542,543,583,582],[543,544,584,583],[544,545,585,584],[545,546,586,585],[546,547,587,586],[547,548,588,587],[548,549,589,588],[549,550,590,589],[550,551,591,590],[551,552,592,591],[552,553,593,592],[553,554,594,593],[554,555,595,594],[555,556,596,595],[556,557,597,596],[557,558,598,597],[558,559,599,598],[560,561,601,600],[561,562,602,601],[562,563,603,602],[563,564,604,603],[564,565,605,604],[565,566,606,605],[566,567,607,606],[567,568,608,607],[568,569,609,608],[569,570,610,609],[570,571,611,610],[571,572,612,611],[572,573,613,612],[573,574,614,613],[574,575,615,614],[575,576,616,615],[576,577,617,616],[577,578,618,617],[578,579,619,618],[579,580,620,619],[580,581,621,620],[581,582,622,621],[582,583,623,622],[583,584,624,623],[584,585,625,624],[585,586,626,625],[586,587,627,626],[587,588,628,627],[588,589,629,628],[589,590,630,629],[590,591,631,630],[591,592,632,631],[592,593,633,632],[593,594,634,633],[594,595,635,634],[595,596,636,635],[596,597,637,636],[597,598,638,637],[598,599,639,638],[600,601,641,640],[601,602,642,641],[602,603,643,642],[603,604,644,643],[604,605,645,644],[605,606,646,645],[606,607,647,646],[607,608,648,647],[608,609,649,648],[609,610,650,649],[610,611,651,650],[611,612,652,651],[612,613,653,652],[613,614,654,653],[614,615,655,654],[615,616,656,655],[616,617,657,656],[617,618,658,657],[618,619,659,658],[619,620,660,659],[620,621,661,660],[621,622,662,661],[622,623,663,662],[623,624,664,663],[624,625,665,664],[625,626,666,665],[626,627,667,666],[627,628,668,667],[628,629,669,668],[629,630,670,669],[630,631,671,670],[631,632,672,671],[632,633,673,672],[633,634,674,673],[634,635,675,674],[635,636,676,675],[636,637,677,676],[637,638,678,677],[638,639,679,678],[640,641,681,680],[641,642,682,681],[642,643,683,682],[643,644,684,683],[644,645,685,684],[645,646,686,685],[646,647,687,686],[647,648,688,687],[648,649,689,688],[649,650,690,689],[650,651,691,690],[651,652,692,691],[652,653,693,692],[653,654,694,693],[654,655,695,694],[655,656,696,695],[656,657,697,696],[657,658,698,697],[658,659,699,698],[659,660,700,699],[660,661,701,700],[661,662,702,701],[662,663,703,702],[663,664,704,703],[664,665,705,704],[665,666,706,705],[666,667,707,706],[667,668,708,707],[668,669,709,708],[669,670,710,709],[670,671,711,710],[671,672,712,711],[672,673,713,712],[673,674,714,713],[674,675,715,714],[675,676,716,715],[676,677,717,716],[677,678,718,717],[678,679,719,718],[680,681,721,720],[681,682,722,721],[682,683,723,722],[683,684,724,723],[684,685,725,724],[685,686,726,725],[686,687,727,726],[687,688,728,727],[688,689,729,728],[689,690,730,729],[690,691,731,730],[691,692,732,731],[692,693,733,732],[693,694,734,733],[694,695,735,734],[695,696,736,735],[696,697,737,736],[697,698,738,737],[698,699,739,738],[699,700,740,739],[700,701,741,740],[701,702,742,741],[702,703,743,742],[703,704,744,743],[704,705,745,744],[705,706,746,745],[706,707,747,746],[707,708,748,747],[708,709,749,748],[709,710,750,749],[710,711,751,750],[711,712,752,751],[712,713,753,752],[713,714,754,753],[714,715,755,754],[715,716,756,755],[716,717,757,756],[717,718,758,757],[718,719,759,758],[720,721,761,760],[721,722,762,761],[722,723,763,762],[723,724,764,763],[724,725,765,764],[725,726,766,765],[726,727,767,766],[727,728,768,767],[728,729,769,768],[729,730,770,769],[730,731,771,770],[731,732,772,771],[732,733,773,772],[733,734,774,773],[734,735,775,774],[735,736,776,775],[736,737,777,776],[737,738,778,777],[738,739,779,778],[739,740,780,779],[740,741,781,780],[741,742,782,781],[742,743,783,782],[743,744,784,783],[744,745,785,784],[745,746,786,785],[746,747,787,786],[747,748,788,787],[748,749,789,788],[749,750,790,789],[750,751,791,790],[751,752,792,791],[752,753,793,792],[753,754,794,793],[754,755,795,794],[755,756,796,795],[756,757,797,796],[757,758,798,797],[758,759,799,798],[760,761,801,800],[761,762,802,801],[762,763,803,802],[763,764,804,803],[764,765,805,804],[765,766,806,805],[766,767,807,806],[767,768,808,807],[768,769,809,808],[769,770,810,809],[770,771,811,810],[771,772,812,811],[772,773,813,812],[773,774,814,813],[774,775,815,814],[775,776,816,815],[776,777,817,816],[777,778,818,817],[778,779,819,818],[779,780,820,819],[780,781,821,820],[781,782,822,821],[782,783,823,822],[783,784,824,823],[784,785,825,824],[785,786,826,825],[786,787,827,826],[787,788,828,827],[788,789,829,828],[789,790,830,829],[790,791,831,830],[791,792,832,831],[792,793,833,832],[793,794,834,833],[794,795,835,834],[795,796,836,835],[796,797,837,836],[797,798,838,837],[798,799,839,838],[800,801,841,840],[801,802,842,841],[802,803,843,842],[803,804,844,843],[804,805,845,844],[805,806,846,845],[806,807,847,846],[807,808,848,847],[808,809,849,848],[809,810,850,849],[810,811,851,850],[811,812,852,851],[812,813,853,852],[813,814,854,853],[814,815,855,854],[815,816,856,855],[816,817,857,856],[817,818,858,857],[818,819,859,858],[819,820,860,859],[820,821,861,860],[821,822,862,861],[822,823,863,862],[823,824,864,863],[824,825,865,864],[825,826,866,865],[826,827,867,866],[827,828,868,867],[828,829,869,868],[829,830,870,869],[830,831,871,870],[831,832,872,871],[832,833,873,872],[833,834,874,873],[834,835,875,874],[835,836,876,875],[836,837,877,876],[837,838,878,877],[838,839,879,878],[840,841,881,880],[841,842,882,881],[842,843,883,882],[843,844,884,883],[844,845,885,884],[845,846,886,885],[846,847,887,886],[847,848,888,887],[848,849,889,888],[849,850,890,889],[850,851,891,890],[851,852,892,891],[852,853,893,892],[853,854,894,893],[854,855,895,894],[855,856,896,895],[856,857,897,896],[857,858,898,897],[858,859,899,898],[859,860,900,899],[860,861,901,900],[861,862,902,901],[862,863,903,902],[863,864,904,903],[864,865,905,904],[865,866,906,905],[866,867,907,906],[867,868,908,907],[868,869,909,908],[869,870,910,909],[870,871,911,910],[871,872,912,911],[872,873,913,912],[873,874,914,913],[874,875,915,914],[875,876,916,915],[876,877,917,916],[877,878,918,917],[878,879,919,918],[880,881,921,920],[881,882,922,921],[882,883,923,922],[883,884,924,923],[884,885,925,924],[885,886,926,925],[886,887,927,926],[887,888,928,927],[888,889,929,928],[889,890,930,929],[890,891,931,930],[891,892,932,931],[892,893,933,932],[893,894,934,933],[894,895,935,934],[895,896,936,935],[896,897,937,936],[897,898,938,937],[898,899,939,938],[899,900,940,939],[900,901,941,940],[901,902,942,941],[902,903,943,942],[903,904,944,943],[904,905,945,944],[905,906,946,945],[906,907,947,946],[907,908,948,947],[908,909,949,948],[909,910,950,949],[910,911,951,950],[911,912,952,951],[912,913,953,952],[913,914,954,953],[914,915,955,954],[915,916,956,955],[916,917,957,956],[917,918,958,957],[918,919,959,958],[920,921,961,960],[921,922,962,961],[922,923,963,962],[923,924,964,963],[924,925,965,964],[925,926,966,965],[926,927,967,966],[927,928,968,967],[928,929,969,968],[929,930,970,969],[930,931,971,970],[931,932,972,971],[932,933,973,972],[933,934,974,973],[934,935,975,974],[935,936,976,975],[936,937,977,976],[937,938,978,977],[938,939,979,978],[939,940,980,979],[940,941,981,980],[941,942,982,981],[942,943,983,982],[943,944,984,983],[944,945,985,984],[945,946,986,985],[946,947,987,986],[947,948,988,987],[948,949,989,988],[949,950,990,989],[950,951,991,990],[951,952,992,991],[952,953,993,992],[953,954,994,993],[954,955,995,994],[955,956,996,995],[956,957,997,996],[957,958,998,997],[958,959,999,998],[960,961,1001,1000],[961,962,1002,1001],[962,963,1003,1002],[963,964,1004,1003],[964,965,1005,1004],[965,966,1006,1005],[966,967,1007,1006],[967,968,1008,1007],[968,969,1009,1008],[969,970,1010,1009],[970,971,1011,1010],[971,972,1012,1011],[972,973,1013,1012],[973,974,1014,1013],[974,975,1015,1014],[975,976,1016,1015],[976,977,1017,1016],[977,978,1018,1017],[978,979,1019,1018],[979,980,1020,1019],[980,981,1021,1020],[981,982,1022,1021],[982,983,1023,1022],[983,984,1024,1023],[984,985,1025,1024],[985,986,1026,1025],[986,987,1027,1026],[987,988,1028,1027],[988,989,1029,1028],[989,990,1030,1029],[990,991,1031,1030],[991,992,1032,1031],[992,993,1033,1032],[993,994,1034,1033],[994,995,1035,1034],[995,996,1036,1035],[996,997,1037,1036],[997,998,1038,1037],[998,999,1039,1038],[1000,1001,1041,1040],[1001,1002,1042,1041],[1002,1003,1043,1042],[1003,1004,1044,1043],[1004,1005,1045,1044],[1005,1006,1046,1045],[1006,1007,1047,1046],[1007,1008,1048,1047],[1008,1009,1049,1048],[1009,1010,1050,1049],[1010,1011,1051,1050],[1011,1012,1052,1051],[1012,1013,1053,1052],[1013,1014,1054,1053],[1014,1015,1055,1054],[1015,1016,1056,1055],[1016,1017,1057,1056],[1017,1018,1058,1057],[1018,1019,1059,1058],[1019,1020,1060,1059],[1020,1021,1061,1060],[1021,1022,1062,1061],[1022,1023,1063,1062],[1023,1024,1064,1063],[1024,1025,1065,1064],[1025,1026,1066,1065],[1026,1027,1067,1066],[1027,1028,1068,1067],[1028,1029,1069,1068],[1029,1030,1070,1069],[1030,1031,1071,1070],[1031,1032,1072,1071],[1032,1033,1073,1072],[1033,1034,1074,1073],[1034,1035,1075,1074],[1035,1036,1076,1075],[1036,1037,1077,1076],[1037,1038,1078,1077],[1038,1039,1079,1078],[1040,1041,1081,1080],[1041,1042,1082,1081],[1042,1043,1083,1082],[1043,1044,1084,1083],[1044,1045,1085,1084],[1045,1046,1086,1085],[1046,1047,1087,1086],[1047,1048,1088,1087],[1048,1049,1089,1088],[1049,1050,1090,1089],[1050,1051,1091,1090],[1051,1052,1092,1091],[1052,1053,1093,1092],[1053,1054,1094,1093],[1054,1055,1095,1094],[1055,1056,1096,1095],[1056,1057,1097,1096],[1057,1058,1098,1097],[1058,1059,1099,1098],[1059,1060,1100,1099],[1060,1061,1101,1100],[1061,1062,1102,1101],[1062,1063,1103,1102],[1063,1064,1104,1103],[1064,1065,1105,1104],[1065,1066,1106,1105],[1066,1067,1107,1106],[1067,1068,1108,1107],[1068,1069,1109,1108],[1069,1070,1110,1109],[1070,1071,1111,1110],[1071,1072,1112,1111],[1072,1073,1113,1112],[1073,1074,1114,1113],[1074,1075,1115,1114],[1075,1076,1116,1115],[1076,1077,1117,1116],[1077,1078,1118,1117],[1078,1079,1119,1118],[1080,1081,1121,1120],[1081,1082,1122,1121],[1082,1083,1123,1122],[1083,1084,1124,1123],[1084,1085,1125,1124],[1085,1086,1126,1125],[1086,1087,1127,1126],[1087,1088,1128,1127],[1088,1089,1129,1128],[1089,1090,1130,1129],[1090,1091,1131,1130],[1091,1092,1132,1131],[1092,1093,1133,1132],[1093,1094,1134,1133],[1094,1095,1135,1134],[1095,1096,1136,1135],[1096,1097,1137,1136],[1097,1098,1138,1137],[1098,1099,1139,1138],[1099,1100,1140,1139],[1100,1101,1141,1140],[1101,1102,1142,1141],[1102,1103,1143,1142],[1103,1104,1144,1143],[1104,1105,1145,1144],[1105,1106,1146,1145],[1106,1107,1147,1146],[1107,1108,1148,1147],[1108,1109,1149,1148],[1109,1110,1150,1149],[1110,1111,1151,1150],[1111,1112,1152,1151],[1112,1113,1153,1152],[1113,1114,1154,1153],[1114,1115,1155,1154],[1115,1116,1156,1155],[1116,1117,1157,1156],[1117,1118,1158,1157],[1118,1119,1159,1158],[1120,1121,1161,1160],[1121,1122,1162,1161],[1122,1123,1163,1162],[1123,1124,1164,1163],[1124,1125,1165,1164],[1125,1126,1166,1165],[1126,1127,1167,1166],[1127,1128,1168,1167],[1128,1129,1169,1168],[1129,1130,1170,1169],[1130,1131,1171,1170],[1131,1132,1172,1171],[1132,1133,1173,1172],[1133,1134,1174,1173],[1134,1135,1175,1174],[1135,1136,1176,1175],[1136,1137,1177,1176],[1137,1138,1178,1177],[1138,1139,1179,1178],[1139,1140,1180,1179],[1140,1141,1181,1180],[1141,1142,1182,1181],[1142,1143,1183,1182],[1143,1144,1184,1183],[1144,1145,1185,1184],[1145,1146,1186,1185],[1146,1147,1187,1186],[1147,1148,1188,1187],[1148,1149,1189,1188],[1149,1150,1190,1189],[1150,1151,1191,1190],[1151,1152,1192,1191],[1152,1153,1193,1192],[1153,1154,1194,1193],[1154,1155,1195,1194],[1155,1156,1196,1195],[1156,1157,1197,1196],[1157,1158,1198,1197],[1158,1159,1199,1198],[1160,1161,1201,1200],[1161,1162,1202,1201],[1162,1163,1203,1202],[1163,1164,1204,1203],[1164,1165,1205,1204],[1165,1166,1206,1205],[1166,1167,1207,1206],[1167,1168,1208,1207],[1168,1169,1209,1208],[1169,1170,1210,1209],[1170,1171,1211,1210],[1171,1172,1212,1211],[1172,1173,1213,1212],[1173,1174,1214,1213],[1174,1175,1215,1214],[1175,1176,1216,1215],[1176,1177,1217,1216],[1177,1178,1218,1217],[1178,1179,1219,1218],[1179,1180,1220,1219],[1180,1181,1221,1220],[1181,1182,1222,1221],[1182,1183,1223,1222],[1183,1184,1224,1223],[1184,1185,1225,1224],[1185,1186,1226,1225],[1186,1187,1227,1226],[1187,1188,1228,1227],[1188,1189,1229,1228],[1189,1190,1230,1229],[1190,1191,1231,1230],[1191,1192,1232,1231],[1192,1193,1233,1232],[1193,1194,1234,1233],[1194,1195,1235,1234],[1195,1196,1236,1235],[1196,1197,1237,1236],[1197,1198,1238,1237],[1198,1199,1239,1238],[1200,1201,1241,1240],[1201,1202,1242,1241],[1202,1203,1243,1242],[1203,1204,1244,1243],[1204,1205,1245,1244],[1205,1206,1246,1245],[1206,1207,1247,1246],[1207,1208,1248,1247],[1208,1209,1249,1248],[1209,1210,1250,1249],[1210,1211,1251,1250],[1211,1212,1252,1251],[1212,1213,1253,1252],[1213,1214,1254,1253],[1214,1215,1255,1254],[1215,1216,1256,1255],[1216,1217,1257,1256],[1217,1218,1258,1257],[1218,1219,1259,1258],[1219,1220,1260,1259],[1220,1221,1261,1260],[1221,1222,1262,1261],[1222,1223,1263,1262],[1223,1224,1264,1263],[1224,1225,1265,1264],[1225,1226,1266,1265],[1226,1227,1267,1266],[1227,1228,1268,1267],[1228,1229,1269,1268],[1229,1230,1270,1269],[1230,1231,1271,1270],[1231,1232,1272,1271],[1232,1233,1273,1272],[1233,1234,1274,1273],[1234,1235,1275,1274],[1235,1236,1276,1275],[1236,1237,1277,1276],[1237,1238,1278,1277],[1238,1239,1279,1278],[1240,1241,1281,1280],[1241,1242,1282,1281],[1242,1243,1283,1282],[1243,1244,1284,1283],[1244,1245,1285,1284],[1245,1246,1286,1285],[1246,1247,1287,1286],[1247,1248,1288,1287],[1248,1249,1289,1288],[1249,1250,1290,1289],[1250,1251,1291,1290],[1251,1252,1292,1291],[1252,1253,1293,1292],[1253,1254,1294,1293],[1254,1255,1295,1294],[1255,1256,1296,1295],[1256,1257,1297,1296],[1257,1258,1298,1297],[1258,1259,1299,1298],[1259,1260,1300,1299],[1260,1261,1301,1300],[1261,1262,1302,1301],[1262,1263,1303,1302],[1263,1264,1304,1303],[1264,1265,1305,1304],[1265,1266,1306,1305],[1266,1267,1307,1306],[1267,1268,1308,1307],[1268,1269,1309,1308],[1269,1270,1310,1309],[1270,1271,1311,1310],[1271,1272,1312,1311],[1272,1273,1313,1312],[1273,1274,1314,1313],[1274,1275,1315,1314],[1275,1276,1316,1315],[1276,1277,1317,1316],[1277,1278,1318,1317],[1278,1279,1319,1318],[1280,1281,1321,1320],[1281,1282,1322,1321],[1282,1283,1323,1322],[1283,1284,1324,1323],[1284,1285,1325,1324],[1285,1286,1326,1325],[1286,1287,1327,1326],[1287,1288,1328,1327],[1288,1289,1329,1328],[1289,1290,1330,1329],[1290,1291,1331,1330],[1291,1292,1332,1331],[1292,1293,1333,1332],[1293,1294,1334,1333],[1294,1295,1335,1334],[1295,1296,1336,1335],[1296,1297,1337,1336],[1297,1298,1338,1337],[1298,1299,1339,1338],[1299,1300,1340,1339],[1300,1301,1341,1340],[1301,1302,1342,1341],[1302,1303,1343,1342],[1303,1304,1344,1343],[1304,1305,1345,1344],[1305,1306,1346,1345],[1306,1307,1347,1346],[1307,1308,1348,1347],[1308,1309,1349,1348],[1309,1310,1350,1349],[1310,1311,1351,1350],[1311,1312,1352,1351],[1312,1313,1353,1352],[1313,1314,1354,1353],[1314,1315,1355,1354],[1315,1316,1356,1355],[1316,1317,1357,1356],[1317,1318,1358,1357],[1318,1319,1359,1358],[1320,1321,1361,1360],[1321,1322,1362,1361],[1322,1323,1363,1362],[1323,1324,1364,1363],[1324,1325,1365,1364],[1325,1326,1366,1365],[1326,1327,1367,1366],[1327,1328,1368,1367],[1328,1329,1369,1368],[1329,1330,1370,1369],[1330,1331,1371,1370],[1331,1332,1372,1371],[1332,1333,1373,1372],[1333,1334,1374,1373],[1334,1335,1375,1374],[1335,1336,1376,1375],[1336,1337,1377,1376],[1337,1338,1378,1377],[1338,1339,1379,1378],[1339,1340,1380,1379],[1340,1341,1381,1380],[1341,1342,1382,1381],[1342,1343,1383,1382],[1343,1344,1384,1383],[1344,1345,1385,1384],[1345,1346,1386,1385],[1346,1347,1387,1386],[1347,1348,1388,1387],[1348,1349,1389,1388],[1349,1350,1390,1389],[1350,1351,1391,1390],[1351,1352,1392,1391],[1352,1353,1393,1392],[1353,1354,1394,1393],[1354,1355,1395,1394],[1355,1356,1396,1395],[1356,1357,1397,1396],[1357,1358,1398,1397],[1358,1359,1399,1398],[1360,1361,1401,1400],[1361,1362,1402,1401],[1362,1363,1403,1402],[1363,1364,1404,1403],[1364,1365,1405,1404],[1365,1366,1406,1405],[1366,1367,1407,1406],[1367,1368,1408,1407],[1368,1369,1409,1408],[1369,1370,1410,1409],[1370,1371,1411,1410],[1371,1372,1412,1411],[1372,1373,1413,1412],[1373,1374,1414,1413],[1374,1375,1415,1414],[1375,1376,1416,1415],[1376,1377,1417,1416],[1377,1378,1418,1417],[1378,1379,1419,1418],[1379,1380,1420,1419],[1380,1381,1421,1420],[1381,1382,1422,1421],[1382,1383,1423,1422],[1383,1384,1424,1423],[1384,1385,1425,1424],[1385,1386,1426,1425],[1386,1387,1427,1426],[1387,1388,1428,1427],[1388,1389,1429,1428],[1389,1390,1430,1429],[1390,1391,1431,1430],[1391,1392,1432,1431],[1392,1393,1433,1432],[1393,1394,1434,1433],[1394,1395,1435,1434],[1395,1396,1436,1435],[1396,1397,1437,1436],[1397,1398,1438,1437],[1398,1399,1439,1438],[1400,1401,1441,1440],[1401,1402,1442,1441],[1402,1403,1443,1442],[1403,1404,1444,1443],[1404,1405,1445,1444],[1405,1406,1446,1445],[1406,1407,1447,1446],[1407,1408,1448,1447],[1408,1409,1449,1448],[1409,1410,1450,1449],[1410,1411,1451,1450],[1411,1412,1452,1451],[1412,1413,1453,1452],[1413,1414,1454,1453],[1414,1415,1455,1454],[1415,1416,1456,1455],[1416,1417,1457,1456],[1417,1418,1458,1457],[1418,1419,1459,1458],[1419,1420,1460,1459],[1420,1421,1461,1460],[1421,1422,1462,1461],[1422,1423,1463,1462],[1423,1424,1464,1463],[1424,1425,1465,1464],[1425,1426,1466,1465],[1426,1427,1467,1466],[1427,1428,1468,1467],[1428,1429,1469,1468],[1429,1430,1470,1469],[1430,1431,1471,1470],[1431,1432,1472,1471],[1432,1433,1473,1472],[1433,1434,1474,1473],[1434,1435,1475,1474],[1435,1436,1476,1475],[1436,1437,1477,1476],[1437,1438,1478,1477],[1438,1439,1479,1478],[1440,1441,1481,1480],[1441,1442,1482,1481],[1442,1443,1483,1482],[1443,1444,1484,1483],[1444,1445,1485,1484],[1445,1446,1486,1485],[1446,1447,1487,1486],[1447,1448,1488,1487],[1448,1449,1489,1488],[1449,1450,1490,1489],[1450,1451,1491,1490],[1451,1452,1492,1491],[1452,1453,1493,1492],[1453,1454,1494,1493],[1454,1455,1495,1494],[1455,1456,1496,1495],[1456,1457,1497,1496],[1457,1458,1498,1497],[1458,1459,1499,1498],[1459,1460,1500,1499],[1460,1461,1501,1500],[1461,1462,1502,1501],[1462,1463,1503,1502],[1463,1464,1504,1503],[1464,1465,1505,1504],[1465,1466,1506,1505],[1466,1467,1507,1506],[1467,1468,1508,1507],[1468,1469,1509,1508],[1469,1470,1510,1509],[1470,1471,1511,1510],[1471,1472,1512,1511],[1472,1473,1513,1512],[1473,1474,1514,1513],[1474,1475,1515,1514],[1475,1476,1516,1515],[1476,1477,1517,1516],[1477,1478,1518,1517],[1478,1479,1519,1518],[1480,1481,1521,1520],[1481,1482,1522,1521],[1482,1483,1523,1522],[1483,1484,1524,1523],[1484,1485,1525,1524],[1485,1486,1526,1525],[1486,1487,1527,1526],[1487,1488,1528,1527],[1488,1489,1529,1528],[1489,1490,1530,1529],[1490,1491,1531,1530],[1491,1492,1532,1531],[1492,1493,1533,1532],[1493,1494,1534,1533],[1494,1495,1535,1534],[1495,1496,1536,1535],[1496,1497,1537,1536],[1497,1498,1538,1537],[1498,1499,1539,1538],[1499,1500,1540,1539],[1500,1501,1541,1540],[1501,1502,1542,1541],[1502,1503,1543,1542],[1503,1504,1544,1543],[1504,1505,1545,1544],[1505,1506,1546,1545],[1506,1507,1547,1546],[1507,1508,1548,1547],[1508,1509,1549,1548],[1509,1510,1550,1549],[1510,1511,1551,1550],[1511,1512,1552,1551],[1512,1513,1553,1552],[1513,1514,1554,1553],[1514,1515,1555,1554],[1515,1516,1556,1555],[1516,1517,1557,1556],[1517,1518,1558,1557],[1518,1519,1559,1558],[1520,1521,1561,1560],[1521,1522,1562,1561],[1522,1523,1563,1562],[1523,1524,1564,1563],[1524,1525,1565,1564],[1525,1526,1566,1565],[1526,1527,1567,1566],[1527,1528,1568,1567],[1528,1529,1569,1568],[1529,1530,1570,1569],[1530,1531,1571,1570],[1531,1532,1572,1571],[1532,1533,1573,1572],[1533,1534,1574,1573],[1534,1535,1575,1574],[1535,1536,1576,1575],[1536,1537,1577,1576],[1537,1538,1578,1577],[1538,1539,1579,1578],[1539,1540,1580,1579],[1540,1541,1581,1580],[1541,1542,1582,1581],[1542,1543,1583,1582],[1543,1544,1584,1583],[1544,1545,1585,1584],[1545,1546,1586,1585],[1546,1547,1587,1586],[1547,1548,1588,1587],[1548,1549,1589,1588],[1549,1550,1590,1589],[1550,1551,1591,1590],[1551,1552,1592,1591],[1552,1553,1593,1592],[1553,1554,1594,1593],[1554,1555,1595,1594],[1555,1556,1596,1595],[1556,1557,1597,1596],[1557,1558,1598,1597],[1558,1559,1599,1598]], &quot;color&quot;:&quot;#008000&quot;, &quot;opacity&quot;:1}];\n",
       "    for ( var i=0 ; i < surfaces.length ; i++ ) addSurface( surfaces[i] );\n",
       "\n",
       "    function addSurface( json ) {\n",
       "        var geometry = new THREE.Geometry();\n",
       "        for ( var i=0 ; i < json.vertices.length ; i++ ) {\n",
       "            var v = json.vertices[i];\n",
       "            geometry.vertices.push( new THREE.Vector3( a[0]*v.x, a[1]*v.y, a[2]*v.z ) );\n",
       "        }\n",
       "        for ( var i=0 ; i < json.faces.length ; i++ ) {\n",
       "            var f = json.faces[i];\n",
       "            for ( var j=0 ; j < f.length - 2 ; j++ ) {\n",
       "                geometry.faces.push( new THREE.Face3( f[0], f[j+1], f[j+2] ) );\n",
       "            }\n",
       "        }\n",
       "        geometry.computeVertexNormals();\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var material = new THREE.MeshPhongMaterial( {\n",
       "                                     color: json.color, side: THREE.DoubleSide,\n",
       "                                     transparent: transparent, opacity: json.opacity,\n",
       "                                     shininess: 20 } );\n",
       "\n",
       "        var c = geometry.center().multiplyScalar( -1 );\n",
       "        var mesh = new THREE.Mesh( geometry, material );\n",
       "        mesh.position.set( c.x, c.y, c.z );\n",
       "        scene.add( mesh );\n",
       "    }\n",
       "\n",
       "    var scratch = new THREE.Vector3();\n",
       "\n",
       "    function render() {\n",
       "\n",
       "        if ( animate ) requestAnimationFrame( render );\n",
       "        renderer.render( scene, camera );\n",
       "\n",
       "        for ( var i=0 ; i < scene.children.length ; i++ ) {\n",
       "            if ( scene.children[i].type === 'Sprite' ) {\n",
       "                var sprite = scene.children[i];\n",
       "                var adjust = scratch.addVectors( sprite.position, scene.position )\n",
       "                               .sub( camera.position ).length() / 5;\n",
       "                sprite.scale.set( adjust, .25*adjust ); // ratio of canvas width to height\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "    \n",
       "    render();\n",
       "    controls.update();\n",
       "    if ( !animate ) render();\n",
       "\n",
       "</script>\n",
       "\n",
       "</body>\n",
       "</html>\" \n",
       "        width=\"100%\"\n",
       "        height=\"400\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x, y = var('x y')\n",
    "show(plot3d(sin(x*y), (x,-pi,pi), (y,-pi,pi), color='green'), viewer='threejs')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>Among other things, SageMath is quite developed in number theory. Let us just show primality tests of two Mersenne numbers:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}2147483647</script></html>"
      ],
      "text/plain": [
       "2147483647"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 2^31-1 ; n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\mathrm{True}</script></html>"
      ],
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n.is_prime()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}2305843009213693951</script></html>"
      ],
      "text/plain": [
       "2305843009213693951"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 2^61-1 ; n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\mathrm{True}</script></html>"
      ],
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n.is_prime()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "<p>SageMath is also well developed in group theory. A very small overview of its capabilities:</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Symmetric group of order 4! as a permutation group\n"
     ]
    }
   ],
   "source": [
    "S4 = SymmetricGroup(4) ; print S4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[, (1,2), (1,2,3,4), (1,3)(2,4), (1,3,4), (2,3,4), (1,4,3,2), (1,3,4,2), (1,3,2,4), (1,4,2,3), (1,2,4,3), (2,4,3), (1,4,3), (1,4)(2,3), (1,4,2), (1,3,2), (1,3), (3,4), (2,4), (1,4), (2,3), (1,2)(3,4), (1,2,3), (1,2,4)\\right]</script></html>"
      ],
      "text/plain": [
       "[(),\n",
       " (1,2),\n",
       " (1,2,3,4),\n",
       " (1,3)(2,4),\n",
       " (1,3,4),\n",
       " (2,3,4),\n",
       " (1,4,3,2),\n",
       " (1,3,4,2),\n",
       " (1,3,2,4),\n",
       " (1,4,2,3),\n",
       " (1,2,4,3),\n",
       " (2,4,3),\n",
       " (1,4,3),\n",
       " (1,4)(2,3),\n",
       " (1,4,2),\n",
       " (1,3,2),\n",
       " (1,3),\n",
       " (3,4),\n",
       " (2,4),\n",
       " (1,4),\n",
       " (2,3),\n",
       " (1,2)(3,4),\n",
       " (1,2,3),\n",
       " (1,2,4)]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S4.list()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\mathrm{False}</script></html>"
      ],
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S4.is_abelian()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}(1,2)(3,4)</script></html>"
      ],
      "text/plain": [
       "(1,2)(3,4)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g = S4([2,1,4,3]) ; g"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[2, 1, 4, 3\\right]</script></html>"
      ],
      "text/plain": [
       "[2, 1, 4, 3]"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.domain()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}1</script></html>"
      ],
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.sign()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}(1,3,2)</script></html>"
      ],
      "text/plain": [
       "(1,3,2)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h = S4([3,1,2,4]) ; h"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}(2,3,4)</script></html>"
      ],
      "text/plain": [
       "(2,3,4)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = g*h ; s"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}(2,4,3)</script></html>"
      ],
      "text/plain": [
       "(2,4,3)"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.inverse()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "SageMath 8.0.beta6",
   "language": "",
   "name": "sagemath"
  },
  "language": "python",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  },
  "widgets": {
   "state": {},
   "version": "1.1.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}