{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "<style>\n",
    "rendered_html {\n",
    "  font-size:0.5em;\n",
    "}\n",
    "</style>\n",
    "<center>\n",
    "  <h1><a href=\"http://sagemath.org\">SageMath</a> en cinq minutes</h1>\n",
    "  <br>\n",
    "\n",
    "  <large><a href=\"http://Nicolas.Thiery.name\">Nicolas M. Thiéry</a></large><br>\n",
    "  <a href=\"http://lri.fr\">Laboratoire de Recherche en Informatique</a><br>\n",
    "  <a href=\"http://www.u-psud.fr\">Université Paris Sud</a><br><br>\n",
    "  \n",
    "     \n",
    "  PyParis <br>\n",
    "  Session Python pour l'Éducation<br>\n",
    "  September 28rd of 2018<br><br>\n",
    "  \n",
    "  <a href='https://mybinder.org/v2/gh/nthiery/shared-sage-notebooks/master?filepath=2018-11-14-PyParis-Education-SageMath.ipynb'>Ce document actif</a> sur <a href='https://mybinder.org'>Binder</a>:<br>\n",
    "  https://tinyurl.com/pyparis18-education-sage\n",
    "</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## [SageMath](sagemath.org) en deux mots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- Un système de calcul généraliste pour les mathématiques"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- Basé sur Python (Python 2; port vers Python 3 en cours)<br>\n",
    "  Et une multitude de bibliothèques de calculs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- Licence libre, gratuit\n",
    "- Multi-plateforme: Linux, Windows, MacOS<br>\n",
    "  ou en ligne (par exemple sur [CoCalc](cocalc.com))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- Développé par une communauté d'enseignants, chercheurs, ingénieurs, ...<br>\n",
    "- 3-4 versions par an depuis 2005; ~100 contributeurs par version\n",
    "- Financements: NSF (USA), H2020 (Europe), ..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- Utilisé à l'université (L1 -> agreg, doctorat), en recherche, ...\n",
    "- Au lycée?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## [SageMath](http://sagemath.org) en démo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "## Arithmétique: de l'exact au numérique à précision arbitraire"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1 + 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "258"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "( 1 + 2 * (3 + 5)^2 ) * 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "2^1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.42857142857143"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "20.0/14"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859502445945534690830264252230825334468503526193118817101000313783875288658753320838142061717766914730359825349042875546873115956286388235378759375195778185778053217122680661300192787661119590921642019893809525720106548586327886593615338182796823030195203530185296899577362259941389124972177528347913151557485724245415069595082953311686172785588907509838175463746493931925506040092770167113900984882401285836160356370766010471018194295559619894676783744944825537977472684710404753464620804668425906949129331367702898915210475216205696602405803815019351125338243003558764024749647326391419927260426992279678235478163600934172164121992458631503028618297455570674983850549458858692699569092721079750930295532116534498720275596023648066549911988183479775356636980742654252786255181841757467289097777279380008164706001614524919217321721477235014144197356854816136115735255213347574184946843852332390739414333454776241686251898356948556209921922218427255025425688767179049460165346680498862723279178608578438382796797668145410095388378636095068006422512520511739298489608412848862694560424196528502221066118630674427862203919494504712371378696095636437191728746776465757396241389086583264599581339047802759009946576407895126946839835259570982582262052248940772671947826848260147699090264013639443745530506820349625245174939965143142980919065925093722169646151570985838741059788595977297549893016175392846813826868386894277415599185592524595395943104997252468084598727364469584865383673622262609912460805124388439045124413654976278079771569143599770012961608944169486855584840635342207222582848864815845602850601684273945226746767889525213852254995466672782398645659611635488623057745649803559363456817432411251507606947945109659609402522887971089314566913686722874894056010150330861792868092087476091782493858900971490967598526136554978189312978482168299894872265880485756401427047755513237964145152374623436454285844479526586782105114135473573952311342716610213596953623144295248493718711014576540359027993440374200731057853906219838744780847848968332144571386875194350643021845319104848100537061468067491927819119793995206141966342875444064374512371819217999839101591956181467514269123974894090718649423196156794521"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "numerical_approx(4*arctan(1), 10000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Arithmétique: nombres premiers, modulo, corps fini; codage RSA?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "521"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p = next_prime(2^9);\n",
    "p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "29"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "550 % p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "Zp = FiniteField(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "29"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = Zp(550); a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "226"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a^(7^7^7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Join of Category of finite enumerated fields and Category of subquotients of monoids and Category of quotients of semigroups"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Zp.category()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "frozenset({'AdditiveAssociative',\n",
       "           'AdditiveCommutative',\n",
       "           'AdditiveInverse',\n",
       "           'AdditiveUnital',\n",
       "           'Associative',\n",
       "           'Commutative',\n",
       "           'Distributive',\n",
       "           'Division',\n",
       "           'Enumerated',\n",
       "           'Finite',\n",
       "           'NoZeroDivisors',\n",
       "           'Unital'})"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Zp.category().axioms()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Un peu d'algèbre"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(x, y)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "var('x,y')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(x^40 - x^30 + x^20 - x^10 + 1)*(x^20 + x^15 + x^10 + x^5 + 1)*(x^20 - x^15 + x^10 - x^5 + 1)*(x^8 - x^6 + x^4 - x^2 + 1)*(x^4 + x^3 + x^2 + x + 1)*(x^4 - x^3 + x^2 - x + 1)*(x^2 + 1)*(x + 1)*(x - 1)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "factor(x^100 - 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "%display latex"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\left(x^{40} - x^{30} + x^{20} - x^{10} + 1\\right)} {\\left(x^{20} + x^{15} + x^{10} + x^{5} + 1\\right)} {\\left(x^{20} - x^{15} + x^{10} - x^{5} + 1\\right)} {\\left(x^{8} - x^{6} + x^{4} - x^{2} + 1\\right)} {\\left(x^{4} + x^{3} + x^{2} + x + 1\\right)} {\\left(x^{4} - x^{3} + x^{2} - x + 1\\right)} {\\left(x^{2} + 1\\right)} {\\left(x + 1\\right)} {\\left(x - 1\\right)}</script></html>"
      ],
      "text/plain": [
       "(x^40 - x^30 + x^20 - x^10 + 1)*(x^20 + x^15 + x^10 + x^5 + 1)*(x^20 - x^15 + x^10 - x^5 + 1)*(x^8 - x^6 + x^4 - x^2 + 1)*(x^4 + x^3 + x^2 + x + 1)*(x^4 - x^3 + x^2 - x + 1)*(x^2 + 1)*(x + 1)*(x - 1)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "factor(x^100 -1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[\\left[x = -\\frac{1}{2} i \\, \\sqrt{3} - \\frac{1}{2}, y = -\\sqrt{-\\frac{1}{2} i \\, \\sqrt{3} + \\frac{3}{2}}\\right], \\left[x = -\\frac{1}{2} i \\, \\sqrt{3} - \\frac{1}{2}, y = \\sqrt{-\\frac{1}{2} i \\, \\sqrt{3} + \\frac{3}{2}}\\right], \\left[x = \\frac{1}{2} i \\, \\sqrt{3} - \\frac{1}{2}, y = -\\sqrt{\\frac{1}{2} i \\, \\sqrt{3} + \\frac{3}{2}}\\right], \\left[x = \\frac{1}{2} i \\, \\sqrt{3} - \\frac{1}{2}, y = \\sqrt{\\frac{1}{2} i \\, \\sqrt{3} + \\frac{3}{2}}\\right], \\left[x = 0, y = \\left(-1\\right)\\right], \\left[x = 0, y = 1\\right]\\right]</script></html>"
      ],
      "text/plain": [
       "[[x == -1/2*I*sqrt(3) - 1/2, y == -sqrt(-1/2*I*sqrt(3) + 3/2)], [x == -1/2*I*sqrt(3) - 1/2, y == sqrt(-1/2*I*sqrt(3) + 3/2)], [x == 1/2*I*sqrt(3) - 1/2, y == -sqrt(1/2*I*sqrt(3) + 3/2)], [x == 1/2*I*sqrt(3) - 1/2, y == sqrt(1/2*I*sqrt(3) + 3/2)], [x == 0, y == -1], [x == 0, y == 1]]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "solve([x^2+y^2 == 1, y^2 == x^3 + x + 1], x, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Un peu d'analyse"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{\\cos\\left(\\frac{1}{4} \\, \\pi - x\\right) - \\tan\\left(x\\right)}{\\sin\\left(\\frac{1}{4} \\, \\pi + x\\right) - 1}</script></html>"
      ],
      "text/plain": [
       "-(cos(1/4*pi - x) - tan(x))/(sin(1/4*pi + x) - 1)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f = (cos(pi/4-x)-tan(x)) / (1-sin(pi/4 + x)); f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}0</script></html>"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f.derivative(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}+\\infty</script></html>"
      ],
      "text/plain": [
       "+Infinity"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "limit(f, x = pi/4, dir='minus')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\cos\\left(x\\right)^{6} + \\sin\\left(x\\right)^{6} + 3 \\, \\cos\\left(x\\right)^{2} \\sin\\left(x\\right)^{2}</script></html>"
      ],
      "text/plain": [
       "cos(x)^6 + sin(x)^6 + 3*cos(x)^2*sin(x)^2"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f = cos(x)^6 + sin(x)^6 + 3 * sin(x)^2 * cos(x)^2; f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}1</script></html>"
      ],
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f.simplify_trig()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Graphiques"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "Graphics object consisting of 1 graphics primitive"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(x*sin(1/x))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### Graphique et programmation : marche aléatoire"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "Graphics object consisting of 2 graphics primitives"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n, l, x, y = 10000, 1, 0, 0\n",
    "p = [[0, 0]]\n",
    "\n",
    "for k in range(n):\n",
    "    theta = (2 * pi * random()).n(digits=5)\n",
    "    x, y = x + l * cos(theta), y + l * sin(theta)\n",
    "    p.append([x, y])\n",
    "\n",
    "g = line(p, thickness=.4) + line([p[n], [0, 0]], color='red', thickness=2)\n",
    "g.show(aspect_ratio=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### Graphiques interactifs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "23a9d720f5064b958930da54ace052fe",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "SW50ZXJhY3RpdmUgZnVuY3Rpb24gPGZ1bmN0aW9uIGcgYXQgMHg3Zjg1ZWE5ZWMzMjA+IHdpdGggNSB3aWRnZXRzCiAgZjogRXZhbFRleHQodmFsdWU9dSd4KnNpbigxL3gpJywgZGVzY3JpcHTigKY=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "var('x')\n",
    "@interact\n",
    "def g(f=x*sin(1/x), \n",
    "      c=slider(-1, 1, .01, default=-.5), \n",
    "      n=(1..30),\n",
    "      xinterval=range_slider(-1, 1, .1, default=(-8,8), label=\"x-interval\"),\n",
    "      yinterval=range_slider(-1, 1, .1, default=(-3,3), label=\"y-interval\")):\n",
    "    x0 = c\n",
    "    degree = n\n",
    "    xmin,xmax = xinterval\n",
    "    ymin,ymax = yinterval\n",
    "    p   = plot(f, xmin, xmax, thickness=4)\n",
    "    dot = point((x0,f(x=x0)),pointsize=80,rgbcolor=(1,0,0))\n",
    "    ft = f.taylor(x,x0,degree)\n",
    "    pt = plot(ft, xmin, xmax, color='red', thickness=2, fill=f)\n",
    "    show(dot + p + pt, ymin=ymin, ymax=ymax, xmin=xmin, xmax=xmax)\n",
    "    html('$f(x)\\;=\\;%s$'%latex(f))\n",
    "    html('$P_{%s}(x)\\;=\\;%s+R_{%s}(x)$'%(degree,latex(ft),degree))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### Graphiques 3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "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;:-5.0, &quot;y&quot;:-5.0, &quot;z&quot;:-0.681773670307}, {&quot;x&quot;:5.0, &quot;y&quot;:5.0, &quot;z&quot;:2.97444848403}]; // 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;:-5,&quot;y&quot;:-5,&quot;z&quot;:-0.0313129},{&quot;x&quot;:-5,&quot;y&quot;:-4.74359,&quot;z&quot;:0.048228},{&quot;x&quot;:-4.74359,&quot;y&quot;:-4.74359,&quot;z&quot;:0.118229},{&quot;x&quot;:-4.74359,&quot;y&quot;:-5,&quot;z&quot;:0.048228},{&quot;x&quot;:-5,&quot;y&quot;:-4.48718,&quot;z&quot;:0.115212},{&quot;x&quot;:-4.74359,&quot;y&quot;:-4.48718,&quot;z&quot;:0.152483},{&quot;x&quot;:-5,&quot;y&quot;:-4.23077,&quot;z&quot;:0.150815},{&quot;x&quot;:-4.74359,&quot;y&quot;:-4.23077,&quot;z&quot;:0.14154},{&quot;x&quot;:-5,&quot;y&quot;:-3.97436,&quot;z&quot;:0.146826},{&quot;x&quot;:-4.74359,&quot;y&quot;:-3.97436,&quot;z&quot;:0.0901845},{&quot;x&quot;:-5,&quot;y&quot;:-3.71795,&quot;z&quot;:0.106446},{&quot;x&quot;:-4.74359,&quot;y&quot;:-3.71795,&quot;z&quot;:0.0140594},{&quot;x&quot;:-5,&quot;y&quot;:-3.46154,&quot;z&quot;:0.0415459},{&quot;x&quot;:-4.74359,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.0665003},{&quot;x&quot;:-5,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.0320207},{&quot;x&quot;:-4.74359,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.13286},{&quot;x&quot;:-5,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.0991757},{&quot;x&quot;:-4.74359,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.172635},{&quot;x&quot;:-5,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.149042},{&quot;x&quot;:-4.74359,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.181459},{&quot;x&quot;:-5,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.17642},{&quot;x&quot;:-4.74359,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.162151},{&quot;x&quot;:-5,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.181459},{&quot;x&quot;:-4.74359,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.122256},{&quot;x&quot;:-5,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.168165},{&quot;x&quot;:-4.74359,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.0711086},{&quot;x&quot;:-5,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.142506},{&quot;x&quot;:-4.74359,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.0173885},{&quot;x&quot;:-5,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.110721},{&quot;x&quot;:-4.74359,&quot;y&quot;:-1.41026,&quot;z&quot;:0.0323727},{&quot;x&quot;:-5,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.0781865},{&quot;x&quot;:-4.74359,&quot;y&quot;:-1.15385,&quot;z&quot;:0.0742643},{&quot;x&quot;:-5,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.0488962},{&quot;x&quot;:-4.74359,&quot;y&quot;:-0.897436,&quot;z&quot;:0.106706},{&quot;x&quot;:-5,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.0254343},{&quot;x&quot;:-4.74359,&quot;y&quot;:-0.641026,&quot;z&quot;:0.129745},{&quot;x&quot;:-5,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.00925029},{&quot;x&quot;:-4.74359,&quot;y&quot;:-0.384615,&quot;z&quot;:0.144243},{&quot;x&quot;:-5,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.00103223},{&quot;x&quot;:-4.74359,&quot;y&quot;:-0.128205,&quot;z&quot;:0.151185},{&quot;x&quot;:-5,&quot;y&quot;:0.128205,&quot;z&quot;:-0.00103223},{&quot;x&quot;:-4.74359,&quot;y&quot;:0.128205,&quot;z&quot;:0.151185},{&quot;x&quot;:-5,&quot;y&quot;:0.384615,&quot;z&quot;:-0.00925029},{&quot;x&quot;:-4.74359,&quot;y&quot;:0.384615,&quot;z&quot;:0.144243},{&quot;x&quot;:-5,&quot;y&quot;:0.641026,&quot;z&quot;:-0.0254343},{&quot;x&quot;:-4.74359,&quot;y&quot;:0.641026,&quot;z&quot;:0.129745},{&quot;x&quot;:-5,&quot;y&quot;:0.897436,&quot;z&quot;:-0.0488962},{&quot;x&quot;:-4.74359,&quot;y&quot;:0.897436,&quot;z&quot;:0.106706},{&quot;x&quot;:-5,&quot;y&quot;:1.15385,&quot;z&quot;:-0.0781865},{&quot;x&quot;:-4.74359,&quot;y&quot;:1.15385,&quot;z&quot;:0.0742643},{&quot;x&quot;:-5,&quot;y&quot;:1.41026,&quot;z&quot;:-0.110721},{&quot;x&quot;:-4.74359,&quot;y&quot;:1.41026,&quot;z&quot;:0.0323727},{&quot;x&quot;:-5,&quot;y&quot;:1.66667,&quot;z&quot;:-0.142506},{&quot;x&quot;:-4.74359,&quot;y&quot;:1.66667,&quot;z&quot;:-0.0173885},{&quot;x&quot;:-5,&quot;y&quot;:1.92308,&quot;z&quot;:-0.168165},{&quot;x&quot;:-4.74359,&quot;y&quot;:1.92308,&quot;z&quot;:-0.0711086},{&quot;x&quot;:-5,&quot;y&quot;:2.17949,&quot;z&quot;:-0.181459},{&quot;x&quot;:-4.74359,&quot;y&quot;:2.17949,&quot;z&quot;:-0.122256},{&quot;x&quot;:-5,&quot;y&quot;:2.4359,&quot;z&quot;:-0.17642},{&quot;x&quot;:-4.74359,&quot;y&quot;:2.4359,&quot;z&quot;:-0.162151},{&quot;x&quot;:-5,&quot;y&quot;:2.69231,&quot;z&quot;:-0.149042},{&quot;x&quot;:-4.74359,&quot;y&quot;:2.69231,&quot;z&quot;:-0.181459},{&quot;x&quot;:-5,&quot;y&quot;:2.94872,&quot;z&quot;:-0.0991757},{&quot;x&quot;:-4.74359,&quot;y&quot;:2.94872,&quot;z&quot;:-0.172635},{&quot;x&quot;:-5,&quot;y&quot;:3.20513,&quot;z&quot;:-0.0320207},{&quot;x&quot;:-4.74359,&quot;y&quot;:3.20513,&quot;z&quot;:-0.13286},{&quot;x&quot;:-5,&quot;y&quot;:3.46154,&quot;z&quot;:0.0415459},{&quot;x&quot;:-4.74359,&quot;y&quot;:3.46154,&quot;z&quot;:-0.0665003},{&quot;x&quot;:-5,&quot;y&quot;:3.71795,&quot;z&quot;:0.106446},{&quot;x&quot;:-4.74359,&quot;y&quot;:3.71795,&quot;z&quot;:0.0140594},{&quot;x&quot;:-5,&quot;y&quot;:3.97436,&quot;z&quot;:0.146826},{&quot;x&quot;:-4.74359,&quot;y&quot;:3.97436,&quot;z&quot;:0.0901845},{&quot;x&quot;:-5,&quot;y&quot;:4.23077,&quot;z&quot;:0.150815},{&quot;x&quot;:-4.74359,&quot;y&quot;:4.23077,&quot;z&quot;:0.14154},{&quot;x&quot;:-5,&quot;y&quot;:4.48718,&quot;z&quot;:0.115212},{&quot;x&quot;:-4.74359,&quot;y&quot;:4.48718,&quot;z&quot;:0.152483},{&quot;x&quot;:-5,&quot;y&quot;:4.74359,&quot;z&quot;:0.048228},{&quot;x&quot;:-4.74359,&quot;y&quot;:4.74359,&quot;z&quot;:0.118229},{&quot;x&quot;:-5,&quot;y&quot;:5,&quot;z&quot;:-0.0313129},{&quot;x&quot;:-4.74359,&quot;y&quot;:5,&quot;z&quot;:0.048228},{&quot;x&quot;:-4.48718,&quot;y&quot;:-4.74359,&quot;z&quot;:0.152483},{&quot;x&quot;:-4.48718,&quot;y&quot;:-5,&quot;z&quot;:0.115212},{&quot;x&quot;:-4.48718,&quot;y&quot;:-4.48718,&quot;z&quot;:0.139459},{&quot;x&quot;:-4.48718,&quot;y&quot;:-4.23077,&quot;z&quot;:0.0813034},{&quot;x&quot;:-4.48718,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.0030451},{&quot;x&quot;:-4.48718,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.088584},{&quot;x&quot;:-4.48718,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.152669},{&quot;x&quot;:-4.48718,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.181163},{&quot;x&quot;:-4.48718,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.17077},{&quot;x&quot;:-4.48718,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.127679},{&quot;x&quot;:-4.48718,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.063861},{&quot;x&quot;:-4.48718,&quot;y&quot;:-2.17949,&quot;z&quot;:0.00725264},{&quot;x&quot;:-4.48718,&quot;y&quot;:-1.92308,&quot;z&quot;:0.0742643},{&quot;x&quot;:-4.48718,&quot;y&quot;:-1.66667,&quot;z&quot;:0.129745},{&quot;x&quot;:-4.48718,&quot;y&quot;:-1.41026,&quot;z&quot;:0.170587},{&quot;x&quot;:-4.48718,&quot;y&quot;:-1.15385,&quot;z&quot;:0.197224},{&quot;x&quot;:-4.48718,&quot;y&quot;:-0.897436,&quot;z&quot;:0.212323},{&quot;x&quot;:-4.48718,&quot;y&quot;:-0.641026,&quot;z&quot;:0.219452},{&quot;x&quot;:-4.48718,&quot;y&quot;:-0.384615,&quot;z&quot;:0.222029},{&quot;x&quot;:-4.48718,&quot;y&quot;:-0.128205,&quot;z&quot;:0.222633},{&quot;x&quot;:-4.48718,&quot;y&quot;:0.128205,&quot;z&quot;:0.222633},{&quot;x&quot;:-4.48718,&quot;y&quot;:0.384615,&quot;z&quot;:0.222029},{&quot;x&quot;:-4.48718,&quot;y&quot;:0.641026,&quot;z&quot;:0.219452},{&quot;x&quot;:-4.48718,&quot;y&quot;:0.897436,&quot;z&quot;:0.212323},{&quot;x&quot;:-4.48718,&quot;y&quot;:1.15385,&quot;z&quot;:0.197224},{&quot;x&quot;:-4.48718,&quot;y&quot;:1.41026,&quot;z&quot;:0.170587},{&quot;x&quot;:-4.48718,&quot;y&quot;:1.66667,&quot;z&quot;:0.129745},{&quot;x&quot;:-4.48718,&quot;y&quot;:1.92308,&quot;z&quot;:0.0742643},{&quot;x&quot;:-4.48718,&quot;y&quot;:2.17949,&quot;z&quot;:0.00725264},{&quot;x&quot;:-4.48718,&quot;y&quot;:2.4359,&quot;z&quot;:-0.063861},{&quot;x&quot;:-4.48718,&quot;y&quot;:2.69231,&quot;z&quot;:-0.127679},{&quot;x&quot;:-4.48718,&quot;y&quot;:2.94872,&quot;z&quot;:-0.17077},{&quot;x&quot;:-4.48718,&quot;y&quot;:3.20513,&quot;z&quot;:-0.181163},{&quot;x&quot;:-4.48718,&quot;y&quot;:3.46154,&quot;z&quot;:-0.152669},{&quot;x&quot;:-4.48718,&quot;y&quot;:3.71795,&quot;z&quot;:-0.088584},{&quot;x&quot;:-4.48718,&quot;y&quot;:3.97436,&quot;z&quot;:-0.0030451},{&quot;x&quot;:-4.48718,&quot;y&quot;:4.23077,&quot;z&quot;:0.0813034},{&quot;x&quot;:-4.48718,&quot;y&quot;:4.48718,&quot;z&quot;:0.139459},{&quot;x&quot;:-4.48718,&quot;y&quot;:4.74359,&quot;z&quot;:0.152483},{&quot;x&quot;:-4.48718,&quot;y&quot;:5,&quot;z&quot;:0.115212},{&quot;x&quot;:-4.23077,&quot;y&quot;:-4.74359,&quot;z&quot;:0.14154},{&quot;x&quot;:-4.23077,&quot;y&quot;:-5,&quot;z&quot;:0.150815},{&quot;x&quot;:-4.23077,&quot;y&quot;:-4.48718,&quot;z&quot;:0.0813034},{&quot;x&quot;:-4.23077,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.00881116},{&quot;x&quot;:-4.23077,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.0991757},{&quot;x&quot;:-4.23077,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.162437},{&quot;x&quot;:-4.23077,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.181918},{&quot;x&quot;:-4.23077,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.155074},{&quot;x&quot;:-4.23077,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.0917965},{&quot;x&quot;:-4.23077,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.00925029},{&quot;x&quot;:-4.23077,&quot;y&quot;:-2.4359,&quot;z&quot;:0.0742643},{&quot;x&quot;:-4.23077,&quot;y&quot;:-2.17949,&quot;z&quot;:0.144243},{&quot;x&quot;:-4.23077,&quot;y&quot;:-1.92308,&quot;z&quot;:0.192539},{&quot;x&quot;:-4.23077,&quot;y&quot;:-1.66667,&quot;z&quot;:0.2175},{&quot;x&quot;:-4.23077,&quot;y&quot;:-1.41026,&quot;z&quot;:0.222433},{&quot;x&quot;:-4.23077,&quot;y&quot;:-1.15385,&quot;z&quot;:0.213387},{&quot;x&quot;:-4.23077,&quot;y&quot;:-0.897436,&quot;z&quot;:0.19711},{&quot;x&quot;:-4.23077,&quot;y&quot;:-0.641026,&quot;z&quot;:0.179624},{&quot;x&quot;:-4.23077,&quot;y&quot;:-0.384615,&quot;z&quot;:0.165512},{&quot;x&quot;:-4.23077,&quot;y&quot;:-0.128205,&quot;z&quot;:0.157742},{&quot;x&quot;:-4.23077,&quot;y&quot;:0.128205,&quot;z&quot;:0.157742},{&quot;x&quot;:-4.23077,&quot;y&quot;:0.384615,&quot;z&quot;:0.165512},{&quot;x&quot;:-4.23077,&quot;y&quot;:0.641026,&quot;z&quot;:0.179624},{&quot;x&quot;:-4.23077,&quot;y&quot;:0.897436,&quot;z&quot;:0.19711},{&quot;x&quot;:-4.23077,&quot;y&quot;:1.15385,&quot;z&quot;:0.213387},{&quot;x&quot;:-4.23077,&quot;y&quot;:1.41026,&quot;z&quot;:0.222433},{&quot;x&quot;:-4.23077,&quot;y&quot;:1.66667,&quot;z&quot;:0.2175},{&quot;x&quot;:-4.23077,&quot;y&quot;:1.92308,&quot;z&quot;:0.192539},{&quot;x&quot;:-4.23077,&quot;y&quot;:2.17949,&quot;z&quot;:0.144243},{&quot;x&quot;:-4.23077,&quot;y&quot;:2.4359,&quot;z&quot;:0.0742643},{&quot;x&quot;:-4.23077,&quot;y&quot;:2.69231,&quot;z&quot;:-0.00925029},{&quot;x&quot;:-4.23077,&quot;y&quot;:2.94872,&quot;z&quot;:-0.0917965},{&quot;x&quot;:-4.23077,&quot;y&quot;:3.20513,&quot;z&quot;:-0.155074},{&quot;x&quot;:-4.23077,&quot;y&quot;:3.46154,&quot;z&quot;:-0.181918},{&quot;x&quot;:-4.23077,&quot;y&quot;:3.71795,&quot;z&quot;:-0.162437},{&quot;x&quot;:-4.23077,&quot;y&quot;:3.97436,&quot;z&quot;:-0.0991757},{&quot;x&quot;:-4.23077,&quot;y&quot;:4.23077,&quot;z&quot;:-0.00881116},{&quot;x&quot;:-4.23077,&quot;y&quot;:4.48718,&quot;z&quot;:0.0813034},{&quot;x&quot;:-4.23077,&quot;y&quot;:4.74359,&quot;z&quot;:0.14154},{&quot;x&quot;:-4.23077,&quot;y&quot;:5,&quot;z&quot;:0.150815},{&quot;x&quot;:-3.97436,&quot;y&quot;:-4.74359,&quot;z&quot;:0.0901845},{&quot;x&quot;:-3.97436,&quot;y&quot;:-5,&quot;z&quot;:0.146826},{&quot;x&quot;:-3.97436,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.0030451},{&quot;x&quot;:-3.97436,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.0991757},{&quot;x&quot;:-3.97436,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.165301},{&quot;x&quot;:-3.97436,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.180736},{&quot;x&quot;:-3.97436,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.142506},{&quot;x&quot;:-3.97436,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.063861},{&quot;x&quot;:-3.97436,&quot;y&quot;:-2.94872,&quot;z&quot;:0.0323727},{&quot;x&quot;:-3.97436,&quot;y&quot;:-2.69231,&quot;z&quot;:0.122221},{&quot;x&quot;:-3.97436,&quot;y&quot;:-2.4359,&quot;z&quot;:0.187517},{&quot;x&quot;:-3.97436,&quot;y&quot;:-2.17949,&quot;z&quot;:0.219452},{&quot;x&quot;:-3.97436,&quot;y&quot;:-1.92308,&quot;z&quot;:0.218497},{&quot;x&quot;:-3.97436,&quot;y&quot;:-1.66667,&quot;z&quot;:0.19178},{&quot;x&quot;:-3.97436,&quot;y&quot;:-1.41026,&quot;z&quot;:0.149508},{&quot;x&quot;:-3.97436,&quot;y&quot;:-1.15385,&quot;z&quot;:0.101828},{&quot;x&quot;:-3.97436,&quot;y&quot;:-0.897436,&quot;z&quot;:0.0568624},{&quot;x&quot;:-3.97436,&quot;y&quot;:-0.641026,&quot;z&quot;:0.0200516},{&quot;x&quot;:-3.97436,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.00556527},{&quot;x&quot;:-3.97436,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.0186075},{&quot;x&quot;:-3.97436,&quot;y&quot;:0.128205,&quot;z&quot;:-0.0186075},{&quot;x&quot;:-3.97436,&quot;y&quot;:0.384615,&quot;z&quot;:-0.00556527},{&quot;x&quot;:-3.97436,&quot;y&quot;:0.641026,&quot;z&quot;:0.0200516},{&quot;x&quot;:-3.97436,&quot;y&quot;:0.897436,&quot;z&quot;:0.0568624},{&quot;x&quot;:-3.97436,&quot;y&quot;:1.15385,&quot;z&quot;:0.101828},{&quot;x&quot;:-3.97436,&quot;y&quot;:1.41026,&quot;z&quot;:0.149508},{&quot;x&quot;:-3.97436,&quot;y&quot;:1.66667,&quot;z&quot;:0.19178},{&quot;x&quot;:-3.97436,&quot;y&quot;:1.92308,&quot;z&quot;:0.218497},{&quot;x&quot;:-3.97436,&quot;y&quot;:2.17949,&quot;z&quot;:0.219452},{&quot;x&quot;:-3.97436,&quot;y&quot;:2.4359,&quot;z&quot;:0.187517},{&quot;x&quot;:-3.97436,&quot;y&quot;:2.69231,&quot;z&quot;:0.122221},{&quot;x&quot;:-3.97436,&quot;y&quot;:2.94872,&quot;z&quot;:0.0323727},{&quot;x&quot;:-3.97436,&quot;y&quot;:3.20513,&quot;z&quot;:-0.063861},{&quot;x&quot;:-3.97436,&quot;y&quot;:3.46154,&quot;z&quot;:-0.142506},{&quot;x&quot;:-3.97436,&quot;y&quot;:3.71795,&quot;z&quot;:-0.180736},{&quot;x&quot;:-3.97436,&quot;y&quot;:3.97436,&quot;z&quot;:-0.165301},{&quot;x&quot;:-3.97436,&quot;y&quot;:4.23077,&quot;z&quot;:-0.0991757},{&quot;x&quot;:-3.97436,&quot;y&quot;:4.48718,&quot;z&quot;:-0.0030451},{&quot;x&quot;:-3.97436,&quot;y&quot;:4.74359,&quot;z&quot;:0.0901845},{&quot;x&quot;:-3.97436,&quot;y&quot;:5,&quot;z&quot;:0.146826},{&quot;x&quot;:-3.71795,&quot;y&quot;:-4.74359,&quot;z&quot;:0.0140594},{&quot;x&quot;:-3.71795,&quot;y&quot;:-5,&quot;z&quot;:0.106446},{&quot;x&quot;:-3.71795,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.088584},{&quot;x&quot;:-3.71795,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.162437},{&quot;x&quot;:-3.71795,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.180736},{&quot;x&quot;:-3.71795,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.137809},{&quot;x&quot;:-3.71795,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.0488962},{&quot;x&quot;:-3.71795,&quot;y&quot;:-3.20513,&quot;z&quot;:0.0575929},{&quot;x&quot;:-3.71795,&quot;y&quot;:-2.94872,&quot;z&quot;:0.151185},{&quot;x&quot;:-3.71795,&quot;y&quot;:-2.69231,&quot;z&quot;:0.209122},{&quot;x&quot;:-3.71795,&quot;y&quot;:-2.4359,&quot;z&quot;:0.221612},{&quot;x&quot;:-3.71795,&quot;y&quot;:-2.17949,&quot;z&quot;:0.19178},{&quot;x&quot;:-3.71795,&quot;y&quot;:-1.92308,&quot;z&quot;:0.131696},{&quot;x&quot;:-3.71795,&quot;y&quot;:-1.66667,&quot;z&quot;:0.0568624},{&quot;x&quot;:-3.71795,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.0186075},{&quot;x&quot;:-3.71795,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.0848255},{&quot;x&quot;:-3.71795,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.136802},{&quot;x&quot;:-3.71795,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.173525},{&quot;x&quot;:-3.71795,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.196294},{&quot;x&quot;:-3.71795,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.207033},{&quot;x&quot;:-3.71795,&quot;y&quot;:0.128205,&quot;z&quot;:-0.207033},{&quot;x&quot;:-3.71795,&quot;y&quot;:0.384615,&quot;z&quot;:-0.196294},{&quot;x&quot;:-3.71795,&quot;y&quot;:0.641026,&quot;z&quot;:-0.173525},{&quot;x&quot;:-3.71795,&quot;y&quot;:0.897436,&quot;z&quot;:-0.136802},{&quot;x&quot;:-3.71795,&quot;y&quot;:1.15385,&quot;z&quot;:-0.0848255},{&quot;x&quot;:-3.71795,&quot;y&quot;:1.41026,&quot;z&quot;:-0.0186075},{&quot;x&quot;:-3.71795,&quot;y&quot;:1.66667,&quot;z&quot;:0.0568624},{&quot;x&quot;:-3.71795,&quot;y&quot;:1.92308,&quot;z&quot;:0.131696},{&quot;x&quot;:-3.71795,&quot;y&quot;:2.17949,&quot;z&quot;:0.19178},{&quot;x&quot;:-3.71795,&quot;y&quot;:2.4359,&quot;z&quot;:0.221612},{&quot;x&quot;:-3.71795,&quot;y&quot;:2.69231,&quot;z&quot;:0.209122},{&quot;x&quot;:-3.71795,&quot;y&quot;:2.94872,&quot;z&quot;:0.151185},{&quot;x&quot;:-3.71795,&quot;y&quot;:3.20513,&quot;z&quot;:0.0575929},{&quot;x&quot;:-3.71795,&quot;y&quot;:3.46154,&quot;z&quot;:-0.0488962},{&quot;x&quot;:-3.71795,&quot;y&quot;:3.71795,&quot;z&quot;:-0.137809},{&quot;x&quot;:-3.71795,&quot;y&quot;:3.97436,&quot;z&quot;:-0.180736},{&quot;x&quot;:-3.71795,&quot;y&quot;:4.23077,&quot;z&quot;:-0.162437},{&quot;x&quot;:-3.71795,&quot;y&quot;:4.48718,&quot;z&quot;:-0.088584},{&quot;x&quot;:-3.71795,&quot;y&quot;:4.74359,&quot;z&quot;:0.0140594},{&quot;x&quot;:-3.71795,&quot;y&quot;:5,&quot;z&quot;:0.106446},{&quot;x&quot;:-3.46154,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.0665003},{&quot;x&quot;:-3.46154,&quot;y&quot;:-5,&quot;z&quot;:0.0415459},{&quot;x&quot;:-3.46154,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.152669},{&quot;x&quot;:-3.46154,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.181918},{&quot;x&quot;:-3.46154,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.142506},{&quot;x&quot;:-3.46154,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.0488962},{&quot;x&quot;:-3.46154,&quot;y&quot;:-3.46154,&quot;z&quot;:0.065953},{&quot;x&quot;:-3.46154,&quot;y&quot;:-3.20513,&quot;z&quot;:0.164373},{&quot;x&quot;:-3.46154,&quot;y&quot;:-2.94872,&quot;z&quot;:0.2175},{&quot;x&quot;:-3.46154,&quot;y&quot;:-2.69231,&quot;z&quot;:0.213387},{&quot;x&quot;:-3.46154,&quot;y&quot;:-2.4359,&quot;z&quot;:0.157742},{&quot;x&quot;:-3.46154,&quot;y&quot;:-2.17949,&quot;z&quot;:0.0685929},{&quot;x&quot;:-3.46154,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.0317629},{&quot;x&quot;:-3.46154,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.124047},{&quot;x&quot;:-3.46154,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.196294},{&quot;x&quot;:-3.46154,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.244667},{&quot;x&quot;:-3.46154,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.271715},{&quot;x&quot;:-3.46154,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.283477},{&quot;x&quot;:-3.46154,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.286705},{&quot;x&quot;:-3.46154,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.286838},{&quot;x&quot;:-3.46154,&quot;y&quot;:0.128205,&quot;z&quot;:-0.286838},{&quot;x&quot;:-3.46154,&quot;y&quot;:0.384615,&quot;z&quot;:-0.286705},{&quot;x&quot;:-3.46154,&quot;y&quot;:0.641026,&quot;z&quot;:-0.283477},{&quot;x&quot;:-3.46154,&quot;y&quot;:0.897436,&quot;z&quot;:-0.271715},{&quot;x&quot;:-3.46154,&quot;y&quot;:1.15385,&quot;z&quot;:-0.244667},{&quot;x&quot;:-3.46154,&quot;y&quot;:1.41026,&quot;z&quot;:-0.196294},{&quot;x&quot;:-3.46154,&quot;y&quot;:1.66667,&quot;z&quot;:-0.124047},{&quot;x&quot;:-3.46154,&quot;y&quot;:1.92308,&quot;z&quot;:-0.0317629},{&quot;x&quot;:-3.46154,&quot;y&quot;:2.17949,&quot;z&quot;:0.0685929},{&quot;x&quot;:-3.46154,&quot;y&quot;:2.4359,&quot;z&quot;:0.157742},{&quot;x&quot;:-3.46154,&quot;y&quot;:2.69231,&quot;z&quot;:0.213387},{&quot;x&quot;:-3.46154,&quot;y&quot;:2.94872,&quot;z&quot;:0.2175},{&quot;x&quot;:-3.46154,&quot;y&quot;:3.20513,&quot;z&quot;:0.164373},{&quot;x&quot;:-3.46154,&quot;y&quot;:3.46154,&quot;z&quot;:0.065953},{&quot;x&quot;:-3.46154,&quot;y&quot;:3.71795,&quot;z&quot;:-0.0488962},{&quot;x&quot;:-3.46154,&quot;y&quot;:3.97436,&quot;z&quot;:-0.142506},{&quot;x&quot;:-3.46154,&quot;y&quot;:4.23077,&quot;z&quot;:-0.181918},{&quot;x&quot;:-3.46154,&quot;y&quot;:4.48718,&quot;z&quot;:-0.152669},{&quot;x&quot;:-3.46154,&quot;y&quot;:4.74359,&quot;z&quot;:-0.0665003},{&quot;x&quot;:-3.46154,&quot;y&quot;:5,&quot;z&quot;:0.0415459},{&quot;x&quot;:-3.20513,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.13286},{&quot;x&quot;:-3.20513,&quot;y&quot;:-5,&quot;z&quot;:-0.0320207},{&quot;x&quot;:-3.20513,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.181163},{&quot;x&quot;:-3.20513,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.155074},{&quot;x&quot;:-3.20513,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.063861},{&quot;x&quot;:-3.20513,&quot;y&quot;:-3.71795,&quot;z&quot;:0.0575929},{&quot;x&quot;:-3.20513,&quot;y&quot;:-3.46154,&quot;z&quot;:0.164373},{&quot;x&quot;:-3.20513,&quot;y&quot;:-3.20513,&quot;z&quot;:0.219452},{&quot;x&quot;:-3.20513,&quot;y&quot;:-2.94872,&quot;z&quot;:0.206261},{&quot;x&quot;:-3.20513,&quot;y&quot;:-2.69231,&quot;z&quot;:0.131696},{&quot;x&quot;:-3.20513,&quot;y&quot;:-2.4359,&quot;z&quot;:0.0200516},{&quot;x&quot;:-3.20513,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.0980187},{&quot;x&quot;:-3.20513,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.196294},{&quot;x&quot;:-3.20513,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.259683},{&quot;x&quot;:-3.20513,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.285574},{&quot;x&quot;:-3.20513,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.280982},{&quot;x&quot;:-3.20513,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.257833},{&quot;x&quot;:-3.20513,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.228599},{&quot;x&quot;:-3.20513,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.203486},{&quot;x&quot;:-3.20513,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.189283},{&quot;x&quot;:-3.20513,&quot;y&quot;:0.128205,&quot;z&quot;:-0.189283},{&quot;x&quot;:-3.20513,&quot;y&quot;:0.384615,&quot;z&quot;:-0.203486},{&quot;x&quot;:-3.20513,&quot;y&quot;:0.641026,&quot;z&quot;:-0.228599},{&quot;x&quot;:-3.20513,&quot;y&quot;:0.897436,&quot;z&quot;:-0.257833},{&quot;x&quot;:-3.20513,&quot;y&quot;:1.15385,&quot;z&quot;:-0.280982},{&quot;x&quot;:-3.20513,&quot;y&quot;:1.41026,&quot;z&quot;:-0.285574},{&quot;x&quot;:-3.20513,&quot;y&quot;:1.66667,&quot;z&quot;:-0.259683},{&quot;x&quot;:-3.20513,&quot;y&quot;:1.92308,&quot;z&quot;:-0.196294},{&quot;x&quot;:-3.20513,&quot;y&quot;:2.17949,&quot;z&quot;:-0.0980187},{&quot;x&quot;:-3.20513,&quot;y&quot;:2.4359,&quot;z&quot;:0.0200516},{&quot;x&quot;:-3.20513,&quot;y&quot;:2.69231,&quot;z&quot;:0.131696},{&quot;x&quot;:-3.20513,&quot;y&quot;:2.94872,&quot;z&quot;:0.206261},{&quot;x&quot;:-3.20513,&quot;y&quot;:3.20513,&quot;z&quot;:0.219452},{&quot;x&quot;:-3.20513,&quot;y&quot;:3.46154,&quot;z&quot;:0.164373},{&quot;x&quot;:-3.20513,&quot;y&quot;:3.71795,&quot;z&quot;:0.0575929},{&quot;x&quot;:-3.20513,&quot;y&quot;:3.97436,&quot;z&quot;:-0.063861},{&quot;x&quot;:-3.20513,&quot;y&quot;:4.23077,&quot;z&quot;:-0.155074},{&quot;x&quot;:-3.20513,&quot;y&quot;:4.48718,&quot;z&quot;:-0.181163},{&quot;x&quot;:-3.20513,&quot;y&quot;:4.74359,&quot;z&quot;:-0.13286},{&quot;x&quot;:-3.20513,&quot;y&quot;:5,&quot;z&quot;:-0.0320207},{&quot;x&quot;:-2.94872,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.172635},{&quot;x&quot;:-2.94872,&quot;y&quot;:-5,&quot;z&quot;:-0.0991757},{&quot;x&quot;:-2.94872,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.17077},{&quot;x&quot;:-2.94872,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.0917965},{&quot;x&quot;:-2.94872,&quot;y&quot;:-3.97436,&quot;z&quot;:0.0323727},{&quot;x&quot;:-2.94872,&quot;y&quot;:-3.71795,&quot;z&quot;:0.151185},{&quot;x&quot;:-2.94872,&quot;y&quot;:-3.46154,&quot;z&quot;:0.2175},{&quot;x&quot;:-2.94872,&quot;y&quot;:-3.20513,&quot;z&quot;:0.206261},{&quot;x&quot;:-2.94872,&quot;y&quot;:-2.94872,&quot;z&quot;:0.122145},{&quot;x&quot;:-2.94872,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.00556527},{&quot;x&quot;:-2.94872,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.136802},{&quot;x&quot;:-2.94872,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.236145},{&quot;x&quot;:-2.94872,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.283477},{&quot;x&quot;:-2.94872,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.27687},{&quot;x&quot;:-2.94872,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.228599},{&quot;x&quot;:-2.94872,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.157706},{&quot;x&quot;:-2.94872,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.0829137},{&quot;x&quot;:-2.94872,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.0183039},{&quot;x&quot;:-2.94872,&quot;y&quot;:-0.384615,&quot;z&quot;:0.0277578},{&quot;x&quot;:-2.94872,&quot;y&quot;:-0.128205,&quot;z&quot;:0.0514202},{&quot;x&quot;:-2.94872,&quot;y&quot;:0.128205,&quot;z&quot;:0.0514202},{&quot;x&quot;:-2.94872,&quot;y&quot;:0.384615,&quot;z&quot;:0.0277578},{&quot;x&quot;:-2.94872,&quot;y&quot;:0.641026,&quot;z&quot;:-0.0183039},{&quot;x&quot;:-2.94872,&quot;y&quot;:0.897436,&quot;z&quot;:-0.0829137},{&quot;x&quot;:-2.94872,&quot;y&quot;:1.15385,&quot;z&quot;:-0.157706},{&quot;x&quot;:-2.94872,&quot;y&quot;:1.41026,&quot;z&quot;:-0.228599},{&quot;x&quot;:-2.94872,&quot;y&quot;:1.66667,&quot;z&quot;:-0.27687},{&quot;x&quot;:-2.94872,&quot;y&quot;:1.92308,&quot;z&quot;:-0.283477},{&quot;x&quot;:-2.94872,&quot;y&quot;:2.17949,&quot;z&quot;:-0.236145},{&quot;x&quot;:-2.94872,&quot;y&quot;:2.4359,&quot;z&quot;:-0.136802},{&quot;x&quot;:-2.94872,&quot;y&quot;:2.69231,&quot;z&quot;:-0.00556527},{&quot;x&quot;:-2.94872,&quot;y&quot;:2.94872,&quot;z&quot;:0.122145},{&quot;x&quot;:-2.94872,&quot;y&quot;:3.20513,&quot;z&quot;:0.206261},{&quot;x&quot;:-2.94872,&quot;y&quot;:3.46154,&quot;z&quot;:0.2175},{&quot;x&quot;:-2.94872,&quot;y&quot;:3.71795,&quot;z&quot;:0.151185},{&quot;x&quot;:-2.94872,&quot;y&quot;:3.97436,&quot;z&quot;:0.0323727},{&quot;x&quot;:-2.94872,&quot;y&quot;:4.23077,&quot;z&quot;:-0.0917965},{&quot;x&quot;:-2.94872,&quot;y&quot;:4.48718,&quot;z&quot;:-0.17077},{&quot;x&quot;:-2.94872,&quot;y&quot;:4.74359,&quot;z&quot;:-0.172635},{&quot;x&quot;:-2.94872,&quot;y&quot;:5,&quot;z&quot;:-0.0991757},{&quot;x&quot;:-2.69231,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.181459},{&quot;x&quot;:-2.69231,&quot;y&quot;:-5,&quot;z&quot;:-0.149042},{&quot;x&quot;:-2.69231,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.127679},{&quot;x&quot;:-2.69231,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.00925029},{&quot;x&quot;:-2.69231,&quot;y&quot;:-3.97436,&quot;z&quot;:0.122221},{&quot;x&quot;:-2.69231,&quot;y&quot;:-3.71795,&quot;z&quot;:0.209122},{&quot;x&quot;:-2.69231,&quot;y&quot;:-3.46154,&quot;z&quot;:0.213387},{&quot;x&quot;:-2.69231,&quot;y&quot;:-3.20513,&quot;z&quot;:0.131696},{&quot;x&quot;:-2.69231,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.00556527},{&quot;x&quot;:-2.69231,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.149328},{&quot;x&quot;:-2.69231,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.252527},{&quot;x&quot;:-2.69231,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.286838},{&quot;x&quot;:-2.69231,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.249223},{&quot;x&quot;:-2.69231,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.157706},{&quot;x&quot;:-2.69231,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.0405195},{&quot;x&quot;:-2.69231,&quot;y&quot;:-1.15385,&quot;z&quot;:0.0753696},{&quot;x&quot;:-2.69231,&quot;y&quot;:-0.897436,&quot;z&quot;:0.171748},{&quot;x&quot;:-2.69231,&quot;y&quot;:-0.641026,&quot;z&quot;:0.241014},{&quot;x&quot;:-2.69231,&quot;y&quot;:-0.384615,&quot;z&quot;:0.283578},{&quot;x&quot;:-2.69231,&quot;y&quot;:-0.128205,&quot;z&quot;:0.3033},{&quot;x&quot;:-2.69231,&quot;y&quot;:0.128205,&quot;z&quot;:0.3033},{&quot;x&quot;:-2.69231,&quot;y&quot;:0.384615,&quot;z&quot;:0.283578},{&quot;x&quot;:-2.69231,&quot;y&quot;:0.641026,&quot;z&quot;:0.241014},{&quot;x&quot;:-2.69231,&quot;y&quot;:0.897436,&quot;z&quot;:0.171748},{&quot;x&quot;:-2.69231,&quot;y&quot;:1.15385,&quot;z&quot;:0.0753696},{&quot;x&quot;:-2.69231,&quot;y&quot;:1.41026,&quot;z&quot;:-0.0405195},{&quot;x&quot;:-2.69231,&quot;y&quot;:1.66667,&quot;z&quot;:-0.157706},{&quot;x&quot;:-2.69231,&quot;y&quot;:1.92308,&quot;z&quot;:-0.249223},{&quot;x&quot;:-2.69231,&quot;y&quot;:2.17949,&quot;z&quot;:-0.286838},{&quot;x&quot;:-2.69231,&quot;y&quot;:2.4359,&quot;z&quot;:-0.252527},{&quot;x&quot;:-2.69231,&quot;y&quot;:2.69231,&quot;z&quot;:-0.149328},{&quot;x&quot;:-2.69231,&quot;y&quot;:2.94872,&quot;z&quot;:-0.00556527},{&quot;x&quot;:-2.69231,&quot;y&quot;:3.20513,&quot;z&quot;:0.131696},{&quot;x&quot;:-2.69231,&quot;y&quot;:3.46154,&quot;z&quot;:0.213387},{&quot;x&quot;:-2.69231,&quot;y&quot;:3.71795,&quot;z&quot;:0.209122},{&quot;x&quot;:-2.69231,&quot;y&quot;:3.97436,&quot;z&quot;:0.122221},{&quot;x&quot;:-2.69231,&quot;y&quot;:4.23077,&quot;z&quot;:-0.00925029},{&quot;x&quot;:-2.69231,&quot;y&quot;:4.48718,&quot;z&quot;:-0.127679},{&quot;x&quot;:-2.69231,&quot;y&quot;:4.74359,&quot;z&quot;:-0.181459},{&quot;x&quot;:-2.69231,&quot;y&quot;:5,&quot;z&quot;:-0.149042},{&quot;x&quot;:-2.4359,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.162151},{&quot;x&quot;:-2.4359,&quot;y&quot;:-5,&quot;z&quot;:-0.17642},{&quot;x&quot;:-2.4359,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.063861},{&quot;x&quot;:-2.4359,&quot;y&quot;:-4.23077,&quot;z&quot;:0.0742643},{&quot;x&quot;:-2.4359,&quot;y&quot;:-3.97436,&quot;z&quot;:0.187517},{&quot;x&quot;:-2.4359,&quot;y&quot;:-3.71795,&quot;z&quot;:0.221612},{&quot;x&quot;:-2.4359,&quot;y&quot;:-3.46154,&quot;z&quot;:0.157742},{&quot;x&quot;:-2.4359,&quot;y&quot;:-3.20513,&quot;z&quot;:0.0200516},{&quot;x&quot;:-2.4359,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.136802},{&quot;x&quot;:-2.4359,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.252527},{&quot;x&quot;:-2.4359,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.285944},{&quot;x&quot;:-2.4359,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.228599},{&quot;x&quot;:-2.4359,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.10295},{&quot;x&quot;:-2.4359,&quot;y&quot;:-1.66667,&quot;z&quot;:0.0514202},{&quot;x&quot;:-2.4359,&quot;y&quot;:-1.41026,&quot;z&quot;:0.195356},{&quot;x&quot;:-2.4359,&quot;y&quot;:-1.15385,&quot;z&quot;:0.3033},{&quot;x&quot;:-2.4359,&quot;y&quot;:-0.897436,&quot;z&quot;:0.367844},{&quot;x&quot;:-2.4359,&quot;y&quot;:-0.641026,&quot;z&quot;:0.396315},{&quot;x&quot;:-2.4359,&quot;y&quot;:-0.384615,&quot;z&quot;:0.403202},{&quot;x&quot;:-2.4359,&quot;y&quot;:-0.128205,&quot;z&quot;:0.40252},{&quot;x&quot;:-2.4359,&quot;y&quot;:0.128205,&quot;z&quot;:0.40252},{&quot;x&quot;:-2.4359,&quot;y&quot;:0.384615,&quot;z&quot;:0.403202},{&quot;x&quot;:-2.4359,&quot;y&quot;:0.641026,&quot;z&quot;:0.396315},{&quot;x&quot;:-2.4359,&quot;y&quot;:0.897436,&quot;z&quot;:0.367844},{&quot;x&quot;:-2.4359,&quot;y&quot;:1.15385,&quot;z&quot;:0.3033},{&quot;x&quot;:-2.4359,&quot;y&quot;:1.41026,&quot;z&quot;:0.195356},{&quot;x&quot;:-2.4359,&quot;y&quot;:1.66667,&quot;z&quot;:0.0514202},{&quot;x&quot;:-2.4359,&quot;y&quot;:1.92308,&quot;z&quot;:-0.10295},{&quot;x&quot;:-2.4359,&quot;y&quot;:2.17949,&quot;z&quot;:-0.228599},{&quot;x&quot;:-2.4359,&quot;y&quot;:2.4359,&quot;z&quot;:-0.285944},{&quot;x&quot;:-2.4359,&quot;y&quot;:2.69231,&quot;z&quot;:-0.252527},{&quot;x&quot;:-2.4359,&quot;y&quot;:2.94872,&quot;z&quot;:-0.136802},{&quot;x&quot;:-2.4359,&quot;y&quot;:3.20513,&quot;z&quot;:0.0200516},{&quot;x&quot;:-2.4359,&quot;y&quot;:3.46154,&quot;z&quot;:0.157742},{&quot;x&quot;:-2.4359,&quot;y&quot;:3.71795,&quot;z&quot;:0.221612},{&quot;x&quot;:-2.4359,&quot;y&quot;:3.97436,&quot;z&quot;:0.187517},{&quot;x&quot;:-2.4359,&quot;y&quot;:4.23077,&quot;z&quot;:0.0742643},{&quot;x&quot;:-2.4359,&quot;y&quot;:4.48718,&quot;z&quot;:-0.063861},{&quot;x&quot;:-2.4359,&quot;y&quot;:4.74359,&quot;z&quot;:-0.162151},{&quot;x&quot;:-2.4359,&quot;y&quot;:5,&quot;z&quot;:-0.17642},{&quot;x&quot;:-2.17949,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.122256},{&quot;x&quot;:-2.17949,&quot;y&quot;:-5,&quot;z&quot;:-0.181459},{&quot;x&quot;:-2.17949,&quot;y&quot;:-4.48718,&quot;z&quot;:0.00725264},{&quot;x&quot;:-2.17949,&quot;y&quot;:-4.23077,&quot;z&quot;:0.144243},{&quot;x&quot;:-2.17949,&quot;y&quot;:-3.97436,&quot;z&quot;:0.219452},{&quot;x&quot;:-2.17949,&quot;y&quot;:-3.71795,&quot;z&quot;:0.19178},{&quot;x&quot;:-2.17949,&quot;y&quot;:-3.46154,&quot;z&quot;:0.0685929},{&quot;x&quot;:-2.17949,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.0980187},{&quot;x&quot;:-2.17949,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.236145},{&quot;x&quot;:-2.17949,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.286838},{&quot;x&quot;:-2.17949,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.228599},{&quot;x&quot;:-2.17949,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.0829137},{&quot;x&quot;:-2.17949,&quot;y&quot;:-1.92308,&quot;z&quot;:0.0994967},{&quot;x&quot;:-2.17949,&quot;y&quot;:-1.66667,&quot;z&quot;:0.262762},{&quot;x&quot;:-2.17949,&quot;y&quot;:-1.41026,&quot;z&quot;:0.367844},{&quot;x&quot;:-2.17949,&quot;y&quot;:-1.15385,&quot;z&quot;:0.403202},{&quot;x&quot;:-2.17949,&quot;y&quot;:-0.897436,&quot;z&quot;:0.382179},{&quot;x&quot;:-2.17949,&quot;y&quot;:-0.641026,&quot;z&quot;:0.331825},{&quot;x&quot;:-2.17949,&quot;y&quot;:-0.384615,&quot;z&quot;:0.280472},{&quot;x&quot;:-2.17949,&quot;y&quot;:-0.128205,&quot;z&quot;:0.249367},{&quot;x&quot;:-2.17949,&quot;y&quot;:0.128205,&quot;z&quot;:0.249367},{&quot;x&quot;:-2.17949,&quot;y&quot;:0.384615,&quot;z&quot;:0.280472},{&quot;x&quot;:-2.17949,&quot;y&quot;:0.641026,&quot;z&quot;:0.331825},{&quot;x&quot;:-2.17949,&quot;y&quot;:0.897436,&quot;z&quot;:0.382179},{&quot;x&quot;:-2.17949,&quot;y&quot;:1.15385,&quot;z&quot;:0.403202},{&quot;x&quot;:-2.17949,&quot;y&quot;:1.41026,&quot;z&quot;:0.367844},{&quot;x&quot;:-2.17949,&quot;y&quot;:1.66667,&quot;z&quot;:0.262762},{&quot;x&quot;:-2.17949,&quot;y&quot;:1.92308,&quot;z&quot;:0.0994967},{&quot;x&quot;:-2.17949,&quot;y&quot;:2.17949,&quot;z&quot;:-0.0829137},{&quot;x&quot;:-2.17949,&quot;y&quot;:2.4359,&quot;z&quot;:-0.228599},{&quot;x&quot;:-2.17949,&quot;y&quot;:2.69231,&quot;z&quot;:-0.286838},{&quot;x&quot;:-2.17949,&quot;y&quot;:2.94872,&quot;z&quot;:-0.236145},{&quot;x&quot;:-2.17949,&quot;y&quot;:3.20513,&quot;z&quot;:-0.0980187},{&quot;x&quot;:-2.17949,&quot;y&quot;:3.46154,&quot;z&quot;:0.0685929},{&quot;x&quot;:-2.17949,&quot;y&quot;:3.71795,&quot;z&quot;:0.19178},{&quot;x&quot;:-2.17949,&quot;y&quot;:3.97436,&quot;z&quot;:0.219452},{&quot;x&quot;:-2.17949,&quot;y&quot;:4.23077,&quot;z&quot;:0.144243},{&quot;x&quot;:-2.17949,&quot;y&quot;:4.48718,&quot;z&quot;:0.00725264},{&quot;x&quot;:-2.17949,&quot;y&quot;:4.74359,&quot;z&quot;:-0.122256},{&quot;x&quot;:-2.17949,&quot;y&quot;:5,&quot;z&quot;:-0.181459},{&quot;x&quot;:-1.92308,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.0711086},{&quot;x&quot;:-1.92308,&quot;y&quot;:-5,&quot;z&quot;:-0.168165},{&quot;x&quot;:-1.92308,&quot;y&quot;:-4.48718,&quot;z&quot;:0.0742643},{&quot;x&quot;:-1.92308,&quot;y&quot;:-4.23077,&quot;z&quot;:0.192539},{&quot;x&quot;:-1.92308,&quot;y&quot;:-3.97436,&quot;z&quot;:0.218497},{&quot;x&quot;:-1.92308,&quot;y&quot;:-3.71795,&quot;z&quot;:0.131696},{&quot;x&quot;:-1.92308,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.0317629},{&quot;x&quot;:-1.92308,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.196294},{&quot;x&quot;:-1.92308,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.283477},{&quot;x&quot;:-1.92308,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.249223},{&quot;x&quot;:-1.92308,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.10295},{&quot;x&quot;:-1.92308,&quot;y&quot;:-2.17949,&quot;z&quot;:0.0994967},{&quot;x&quot;:-1.92308,&quot;y&quot;:-1.92308,&quot;z&quot;:0.283578},{&quot;x&quot;:-1.92308,&quot;y&quot;:-1.66667,&quot;z&quot;:0.389073},{&quot;x&quot;:-1.92308,&quot;y&quot;:-1.41026,&quot;z&quot;:0.392145},{&quot;x&quot;:-1.92308,&quot;y&quot;:-1.15385,&quot;z&quot;:0.307957},{&quot;x&quot;:-1.92308,&quot;y&quot;:-0.897436,&quot;z&quot;:0.176452},{&quot;x&quot;:-1.92308,&quot;y&quot;:-0.641026,&quot;z&quot;:0.0419504},{&quot;x&quot;:-1.92308,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.0620615},{&quot;x&quot;:-1.92308,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.117402},{&quot;x&quot;:-1.92308,&quot;y&quot;:0.128205,&quot;z&quot;:-0.117402},{&quot;x&quot;:-1.92308,&quot;y&quot;:0.384615,&quot;z&quot;:-0.0620615},{&quot;x&quot;:-1.92308,&quot;y&quot;:0.641026,&quot;z&quot;:0.0419504},{&quot;x&quot;:-1.92308,&quot;y&quot;:0.897436,&quot;z&quot;:0.176452},{&quot;x&quot;:-1.92308,&quot;y&quot;:1.15385,&quot;z&quot;:0.307957},{&quot;x&quot;:-1.92308,&quot;y&quot;:1.41026,&quot;z&quot;:0.392145},{&quot;x&quot;:-1.92308,&quot;y&quot;:1.66667,&quot;z&quot;:0.389073},{&quot;x&quot;:-1.92308,&quot;y&quot;:1.92308,&quot;z&quot;:0.283578},{&quot;x&quot;:-1.92308,&quot;y&quot;:2.17949,&quot;z&quot;:0.0994967},{&quot;x&quot;:-1.92308,&quot;y&quot;:2.4359,&quot;z&quot;:-0.10295},{&quot;x&quot;:-1.92308,&quot;y&quot;:2.69231,&quot;z&quot;:-0.249223},{&quot;x&quot;:-1.92308,&quot;y&quot;:2.94872,&quot;z&quot;:-0.283477},{&quot;x&quot;:-1.92308,&quot;y&quot;:3.20513,&quot;z&quot;:-0.196294},{&quot;x&quot;:-1.92308,&quot;y&quot;:3.46154,&quot;z&quot;:-0.0317629},{&quot;x&quot;:-1.92308,&quot;y&quot;:3.71795,&quot;z&quot;:0.131696},{&quot;x&quot;:-1.92308,&quot;y&quot;:3.97436,&quot;z&quot;:0.218497},{&quot;x&quot;:-1.92308,&quot;y&quot;:4.23077,&quot;z&quot;:0.192539},{&quot;x&quot;:-1.92308,&quot;y&quot;:4.48718,&quot;z&quot;:0.0742643},{&quot;x&quot;:-1.92308,&quot;y&quot;:4.74359,&quot;z&quot;:-0.0711086},{&quot;x&quot;:-1.92308,&quot;y&quot;:5,&quot;z&quot;:-0.168165},{&quot;x&quot;:-1.66667,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.0173885},{&quot;x&quot;:-1.66667,&quot;y&quot;:-5,&quot;z&quot;:-0.142506},{&quot;x&quot;:-1.66667,&quot;y&quot;:-4.48718,&quot;z&quot;:0.129745},{&quot;x&quot;:-1.66667,&quot;y&quot;:-4.23077,&quot;z&quot;:0.2175},{&quot;x&quot;:-1.66667,&quot;y&quot;:-3.97436,&quot;z&quot;:0.19178},{&quot;x&quot;:-1.66667,&quot;y&quot;:-3.71795,&quot;z&quot;:0.0568624},{&quot;x&quot;:-1.66667,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.124047},{&quot;x&quot;:-1.66667,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.259683},{&quot;x&quot;:-1.66667,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.27687},{&quot;x&quot;:-1.66667,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.157706},{&quot;x&quot;:-1.66667,&quot;y&quot;:-2.4359,&quot;z&quot;:0.0514202},{&quot;x&quot;:-1.66667,&quot;y&quot;:-2.17949,&quot;z&quot;:0.262762},{&quot;x&quot;:-1.66667,&quot;y&quot;:-1.92308,&quot;z&quot;:0.389073},{&quot;x&quot;:-1.66667,&quot;y&quot;:-1.66667,&quot;z&quot;:0.382179},{&quot;x&quot;:-1.66667,&quot;y&quot;:-1.41026,&quot;z&quot;:0.249367},{&quot;x&quot;:-1.66667,&quot;y&quot;:-1.15385,&quot;z&quot;:0.0419504},{&quot;x&quot;:-1.66667,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.174373},{&quot;x&quot;:-1.66667,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.349191},{&quot;x&quot;:-1.66667,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.461423},{&quot;x&quot;:-1.66667,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.513396},{&quot;x&quot;:-1.66667,&quot;y&quot;:0.128205,&quot;z&quot;:-0.513396},{&quot;x&quot;:-1.66667,&quot;y&quot;:0.384615,&quot;z&quot;:-0.461423},{&quot;x&quot;:-1.66667,&quot;y&quot;:0.641026,&quot;z&quot;:-0.349191},{&quot;x&quot;:-1.66667,&quot;y&quot;:0.897436,&quot;z&quot;:-0.174373},{&quot;x&quot;:-1.66667,&quot;y&quot;:1.15385,&quot;z&quot;:0.0419504},{&quot;x&quot;:-1.66667,&quot;y&quot;:1.41026,&quot;z&quot;:0.249367},{&quot;x&quot;:-1.66667,&quot;y&quot;:1.66667,&quot;z&quot;:0.382179},{&quot;x&quot;:-1.66667,&quot;y&quot;:1.92308,&quot;z&quot;:0.389073},{&quot;x&quot;:-1.66667,&quot;y&quot;:2.17949,&quot;z&quot;:0.262762},{&quot;x&quot;:-1.66667,&quot;y&quot;:2.4359,&quot;z&quot;:0.0514202},{&quot;x&quot;:-1.66667,&quot;y&quot;:2.69231,&quot;z&quot;:-0.157706},{&quot;x&quot;:-1.66667,&quot;y&quot;:2.94872,&quot;z&quot;:-0.27687},{&quot;x&quot;:-1.66667,&quot;y&quot;:3.20513,&quot;z&quot;:-0.259683},{&quot;x&quot;:-1.66667,&quot;y&quot;:3.46154,&quot;z&quot;:-0.124047},{&quot;x&quot;:-1.66667,&quot;y&quot;:3.71795,&quot;z&quot;:0.0568624},{&quot;x&quot;:-1.66667,&quot;y&quot;:3.97436,&quot;z&quot;:0.19178},{&quot;x&quot;:-1.66667,&quot;y&quot;:4.23077,&quot;z&quot;:0.2175},{&quot;x&quot;:-1.66667,&quot;y&quot;:4.48718,&quot;z&quot;:0.129745},{&quot;x&quot;:-1.66667,&quot;y&quot;:4.74359,&quot;z&quot;:-0.0173885},{&quot;x&quot;:-1.66667,&quot;y&quot;:5,&quot;z&quot;:-0.142506},{&quot;x&quot;:-1.41026,&quot;y&quot;:-4.74359,&quot;z&quot;:0.0323727},{&quot;x&quot;:-1.41026,&quot;y&quot;:-5,&quot;z&quot;:-0.110721},{&quot;x&quot;:-1.41026,&quot;y&quot;:-4.48718,&quot;z&quot;:0.170587},{&quot;x&quot;:-1.41026,&quot;y&quot;:-4.23077,&quot;z&quot;:0.222433},{&quot;x&quot;:-1.41026,&quot;y&quot;:-3.97436,&quot;z&quot;:0.149508},{&quot;x&quot;:-1.41026,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.0186075},{&quot;x&quot;:-1.41026,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.196294},{&quot;x&quot;:-1.41026,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.285574},{&quot;x&quot;:-1.41026,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.228599},{&quot;x&quot;:-1.41026,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.0405195},{&quot;x&quot;:-1.41026,&quot;y&quot;:-2.4359,&quot;z&quot;:0.195356},{&quot;x&quot;:-1.41026,&quot;y&quot;:-2.17949,&quot;z&quot;:0.367844},{&quot;x&quot;:-1.41026,&quot;y&quot;:-1.92308,&quot;z&quot;:0.392145},{&quot;x&quot;:-1.41026,&quot;y&quot;:-1.66667,&quot;z&quot;:0.249367},{&quot;x&quot;:-1.41026,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.00881479},{&quot;x&quot;:-1.41026,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.290947},{&quot;x&quot;:-1.41026,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.513396},{&quot;x&quot;:-1.41026,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.637865},{&quot;x&quot;:-1.41026,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.679175},{&quot;x&quot;:-1.41026,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.681774},{&quot;x&quot;:-1.41026,&quot;y&quot;:0.128205,&quot;z&quot;:-0.681774},{&quot;x&quot;:-1.41026,&quot;y&quot;:0.384615,&quot;z&quot;:-0.679175},{&quot;x&quot;:-1.41026,&quot;y&quot;:0.641026,&quot;z&quot;:-0.637865},{&quot;x&quot;:-1.41026,&quot;y&quot;:0.897436,&quot;z&quot;:-0.513396},{&quot;x&quot;:-1.41026,&quot;y&quot;:1.15385,&quot;z&quot;:-0.290947},{&quot;x&quot;:-1.41026,&quot;y&quot;:1.41026,&quot;z&quot;:-0.00881479},{&quot;x&quot;:-1.41026,&quot;y&quot;:1.66667,&quot;z&quot;:0.249367},{&quot;x&quot;:-1.41026,&quot;y&quot;:1.92308,&quot;z&quot;:0.392145},{&quot;x&quot;:-1.41026,&quot;y&quot;:2.17949,&quot;z&quot;:0.367844},{&quot;x&quot;:-1.41026,&quot;y&quot;:2.4359,&quot;z&quot;:0.195356},{&quot;x&quot;:-1.41026,&quot;y&quot;:2.69231,&quot;z&quot;:-0.0405195},{&quot;x&quot;:-1.41026,&quot;y&quot;:2.94872,&quot;z&quot;:-0.228599},{&quot;x&quot;:-1.41026,&quot;y&quot;:3.20513,&quot;z&quot;:-0.285574},{&quot;x&quot;:-1.41026,&quot;y&quot;:3.46154,&quot;z&quot;:-0.196294},{&quot;x&quot;:-1.41026,&quot;y&quot;:3.71795,&quot;z&quot;:-0.0186075},{&quot;x&quot;:-1.41026,&quot;y&quot;:3.97436,&quot;z&quot;:0.149508},{&quot;x&quot;:-1.41026,&quot;y&quot;:4.23077,&quot;z&quot;:0.222433},{&quot;x&quot;:-1.41026,&quot;y&quot;:4.48718,&quot;z&quot;:0.170587},{&quot;x&quot;:-1.41026,&quot;y&quot;:4.74359,&quot;z&quot;:0.0323727},{&quot;x&quot;:-1.41026,&quot;y&quot;:5,&quot;z&quot;:-0.110721},{&quot;x&quot;:-1.15385,&quot;y&quot;:-4.74359,&quot;z&quot;:0.0742643},{&quot;x&quot;:-1.15385,&quot;y&quot;:-5,&quot;z&quot;:-0.0781865},{&quot;x&quot;:-1.15385,&quot;y&quot;:-4.48718,&quot;z&quot;:0.197224},{&quot;x&quot;:-1.15385,&quot;y&quot;:-4.23077,&quot;z&quot;:0.213387},{&quot;x&quot;:-1.15385,&quot;y&quot;:-3.97436,&quot;z&quot;:0.101828},{&quot;x&quot;:-1.15385,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.0848255},{&quot;x&quot;:-1.15385,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.244667},{&quot;x&quot;:-1.15385,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.280982},{&quot;x&quot;:-1.15385,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.157706},{&quot;x&quot;:-1.15385,&quot;y&quot;:-2.69231,&quot;z&quot;:0.0753696},{&quot;x&quot;:-1.15385,&quot;y&quot;:-2.4359,&quot;z&quot;:0.3033},{&quot;x&quot;:-1.15385,&quot;y&quot;:-2.17949,&quot;z&quot;:0.403202},{&quot;x&quot;:-1.15385,&quot;y&quot;:-1.92308,&quot;z&quot;:0.307957},{&quot;x&quot;:-1.15385,&quot;y&quot;:-1.66667,&quot;z&quot;:0.0419504},{&quot;x&quot;:-1.15385,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.290947},{&quot;x&quot;:-1.15385,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.56105},{&quot;x&quot;:-1.15385,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.679175},{&quot;x&quot;:-1.15385,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.639605},{&quot;x&quot;:-1.15385,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.516607},{&quot;x&quot;:-1.15385,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.41721},{&quot;x&quot;:-1.15385,&quot;y&quot;:0.128205,&quot;z&quot;:-0.41721},{&quot;x&quot;:-1.15385,&quot;y&quot;:0.384615,&quot;z&quot;:-0.516607},{&quot;x&quot;:-1.15385,&quot;y&quot;:0.641026,&quot;z&quot;:-0.639605},{&quot;x&quot;:-1.15385,&quot;y&quot;:0.897436,&quot;z&quot;:-0.679175},{&quot;x&quot;:-1.15385,&quot;y&quot;:1.15385,&quot;z&quot;:-0.56105},{&quot;x&quot;:-1.15385,&quot;y&quot;:1.41026,&quot;z&quot;:-0.290947},{&quot;x&quot;:-1.15385,&quot;y&quot;:1.66667,&quot;z&quot;:0.0419504},{&quot;x&quot;:-1.15385,&quot;y&quot;:1.92308,&quot;z&quot;:0.307957},{&quot;x&quot;:-1.15385,&quot;y&quot;:2.17949,&quot;z&quot;:0.403202},{&quot;x&quot;:-1.15385,&quot;y&quot;:2.4359,&quot;z&quot;:0.3033},{&quot;x&quot;:-1.15385,&quot;y&quot;:2.69231,&quot;z&quot;:0.0753696},{&quot;x&quot;:-1.15385,&quot;y&quot;:2.94872,&quot;z&quot;:-0.157706},{&quot;x&quot;:-1.15385,&quot;y&quot;:3.20513,&quot;z&quot;:-0.280982},{&quot;x&quot;:-1.15385,&quot;y&quot;:3.46154,&quot;z&quot;:-0.244667},{&quot;x&quot;:-1.15385,&quot;y&quot;:3.71795,&quot;z&quot;:-0.0848255},{&quot;x&quot;:-1.15385,&quot;y&quot;:3.97436,&quot;z&quot;:0.101828},{&quot;x&quot;:-1.15385,&quot;y&quot;:4.23077,&quot;z&quot;:0.213387},{&quot;x&quot;:-1.15385,&quot;y&quot;:4.48718,&quot;z&quot;:0.197224},{&quot;x&quot;:-1.15385,&quot;y&quot;:4.74359,&quot;z&quot;:0.0742643},{&quot;x&quot;:-1.15385,&quot;y&quot;:5,&quot;z&quot;:-0.0781865},{&quot;x&quot;:-0.897436,&quot;y&quot;:-4.74359,&quot;z&quot;:0.106706},{&quot;x&quot;:-0.897436,&quot;y&quot;:-5,&quot;z&quot;:-0.0488962},{&quot;x&quot;:-0.897436,&quot;y&quot;:-4.48718,&quot;z&quot;:0.212323},{&quot;x&quot;:-0.897436,&quot;y&quot;:-4.23077,&quot;z&quot;:0.19711},{&quot;x&quot;:-0.897436,&quot;y&quot;:-3.97436,&quot;z&quot;:0.0568624},{&quot;x&quot;:-0.897436,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.136802},{&quot;x&quot;:-0.897436,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.271715},{&quot;x&quot;:-0.897436,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.257833},{&quot;x&quot;:-0.897436,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.0829137},{&quot;x&quot;:-0.897436,&quot;y&quot;:-2.69231,&quot;z&quot;:0.171748},{&quot;x&quot;:-0.897436,&quot;y&quot;:-2.4359,&quot;z&quot;:0.367844},{&quot;x&quot;:-0.897436,&quot;y&quot;:-2.17949,&quot;z&quot;:0.382179},{&quot;x&quot;:-0.897436,&quot;y&quot;:-1.92308,&quot;z&quot;:0.176452},{&quot;x&quot;:-0.897436,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.174373},{&quot;x&quot;:-0.897436,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.513396},{&quot;x&quot;:-0.897436,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.679175},{&quot;x&quot;:-0.897436,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.58966},{&quot;x&quot;:-0.897436,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.287938},{&quot;x&quot;:-0.897436,&quot;y&quot;:-0.384615,&quot;z&quot;:0.075926},{&quot;x&quot;:-0.897436,&quot;y&quot;:-0.128205,&quot;z&quot;:0.319224},{&quot;x&quot;:-0.897436,&quot;y&quot;:0.128205,&quot;z&quot;:0.319224},{&quot;x&quot;:-0.897436,&quot;y&quot;:0.384615,&quot;z&quot;:0.075926},{&quot;x&quot;:-0.897436,&quot;y&quot;:0.641026,&quot;z&quot;:-0.287938},{&quot;x&quot;:-0.897436,&quot;y&quot;:0.897436,&quot;z&quot;:-0.58966},{&quot;x&quot;:-0.897436,&quot;y&quot;:1.15385,&quot;z&quot;:-0.679175},{&quot;x&quot;:-0.897436,&quot;y&quot;:1.41026,&quot;z&quot;:-0.513396},{&quot;x&quot;:-0.897436,&quot;y&quot;:1.66667,&quot;z&quot;:-0.174373},{&quot;x&quot;:-0.897436,&quot;y&quot;:1.92308,&quot;z&quot;:0.176452},{&quot;x&quot;:-0.897436,&quot;y&quot;:2.17949,&quot;z&quot;:0.382179},{&quot;x&quot;:-0.897436,&quot;y&quot;:2.4359,&quot;z&quot;:0.367844},{&quot;x&quot;:-0.897436,&quot;y&quot;:2.69231,&quot;z&quot;:0.171748},{&quot;x&quot;:-0.897436,&quot;y&quot;:2.94872,&quot;z&quot;:-0.0829137},{&quot;x&quot;:-0.897436,&quot;y&quot;:3.20513,&quot;z&quot;:-0.257833},{&quot;x&quot;:-0.897436,&quot;y&quot;:3.46154,&quot;z&quot;:-0.271715},{&quot;x&quot;:-0.897436,&quot;y&quot;:3.71795,&quot;z&quot;:-0.136802},{&quot;x&quot;:-0.897436,&quot;y&quot;:3.97436,&quot;z&quot;:0.0568624},{&quot;x&quot;:-0.897436,&quot;y&quot;:4.23077,&quot;z&quot;:0.19711},{&quot;x&quot;:-0.897436,&quot;y&quot;:4.48718,&quot;z&quot;:0.212323},{&quot;x&quot;:-0.897436,&quot;y&quot;:4.74359,&quot;z&quot;:0.106706},{&quot;x&quot;:-0.897436,&quot;y&quot;:5,&quot;z&quot;:-0.0488962},{&quot;x&quot;:-0.641026,&quot;y&quot;:-4.74359,&quot;z&quot;:0.129745},{&quot;x&quot;:-0.641026,&quot;y&quot;:-5,&quot;z&quot;:-0.0254343},{&quot;x&quot;:-0.641026,&quot;y&quot;:-4.48718,&quot;z&quot;:0.219452},{&quot;x&quot;:-0.641026,&quot;y&quot;:-4.23077,&quot;z&quot;:0.179624},{&quot;x&quot;:-0.641026,&quot;y&quot;:-3.97436,&quot;z&quot;:0.0200516},{&quot;x&quot;:-0.641026,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.173525},{&quot;x&quot;:-0.641026,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.283477},{&quot;x&quot;:-0.641026,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.228599},{&quot;x&quot;:-0.641026,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.0183039},{&quot;x&quot;:-0.641026,&quot;y&quot;:-2.69231,&quot;z&quot;:0.241014},{&quot;x&quot;:-0.641026,&quot;y&quot;:-2.4359,&quot;z&quot;:0.396315},{&quot;x&quot;:-0.641026,&quot;y&quot;:-2.17949,&quot;z&quot;:0.331825},{&quot;x&quot;:-0.641026,&quot;y&quot;:-1.92308,&quot;z&quot;:0.0419504},{&quot;x&quot;:-0.641026,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.349191},{&quot;x&quot;:-0.641026,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.637865},{&quot;x&quot;:-0.641026,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.639605},{&quot;x&quot;:-0.641026,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.287938},{&quot;x&quot;:-0.641026,&quot;y&quot;:-0.641026,&quot;z&quot;:0.319224},{&quot;x&quot;:-0.641026,&quot;y&quot;:-0.384615,&quot;z&quot;:0.953118},{&quot;x&quot;:-0.641026,&quot;y&quot;:-0.128205,&quot;z&quot;:1.35477},{&quot;x&quot;:-0.641026,&quot;y&quot;:0.128205,&quot;z&quot;:1.35477},{&quot;x&quot;:-0.641026,&quot;y&quot;:0.384615,&quot;z&quot;:0.953118},{&quot;x&quot;:-0.641026,&quot;y&quot;:0.641026,&quot;z&quot;:0.319224},{&quot;x&quot;:-0.641026,&quot;y&quot;:0.897436,&quot;z&quot;:-0.287938},{&quot;x&quot;:-0.641026,&quot;y&quot;:1.15385,&quot;z&quot;:-0.639605},{&quot;x&quot;:-0.641026,&quot;y&quot;:1.41026,&quot;z&quot;:-0.637865},{&quot;x&quot;:-0.641026,&quot;y&quot;:1.66667,&quot;z&quot;:-0.349191},{&quot;x&quot;:-0.641026,&quot;y&quot;:1.92308,&quot;z&quot;:0.0419504},{&quot;x&quot;:-0.641026,&quot;y&quot;:2.17949,&quot;z&quot;:0.331825},{&quot;x&quot;:-0.641026,&quot;y&quot;:2.4359,&quot;z&quot;:0.396315},{&quot;x&quot;:-0.641026,&quot;y&quot;:2.69231,&quot;z&quot;:0.241014},{&quot;x&quot;:-0.641026,&quot;y&quot;:2.94872,&quot;z&quot;:-0.0183039},{&quot;x&quot;:-0.641026,&quot;y&quot;:3.20513,&quot;z&quot;:-0.228599},{&quot;x&quot;:-0.641026,&quot;y&quot;:3.46154,&quot;z&quot;:-0.283477},{&quot;x&quot;:-0.641026,&quot;y&quot;:3.71795,&quot;z&quot;:-0.173525},{&quot;x&quot;:-0.641026,&quot;y&quot;:3.97436,&quot;z&quot;:0.0200516},{&quot;x&quot;:-0.641026,&quot;y&quot;:4.23077,&quot;z&quot;:0.179624},{&quot;x&quot;:-0.641026,&quot;y&quot;:4.48718,&quot;z&quot;:0.219452},{&quot;x&quot;:-0.641026,&quot;y&quot;:4.74359,&quot;z&quot;:0.129745},{&quot;x&quot;:-0.641026,&quot;y&quot;:5,&quot;z&quot;:-0.0254343},{&quot;x&quot;:-0.384615,&quot;y&quot;:-4.74359,&quot;z&quot;:0.144243},{&quot;x&quot;:-0.384615,&quot;y&quot;:-5,&quot;z&quot;:-0.00925029},{&quot;x&quot;:-0.384615,&quot;y&quot;:-4.48718,&quot;z&quot;:0.222029},{&quot;x&quot;:-0.384615,&quot;y&quot;:-4.23077,&quot;z&quot;:0.165512},{&quot;x&quot;:-0.384615,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.00556527},{&quot;x&quot;:-0.384615,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.196294},{&quot;x&quot;:-0.384615,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.286705},{&quot;x&quot;:-0.384615,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.203486},{&quot;x&quot;:-0.384615,&quot;y&quot;:-2.94872,&quot;z&quot;:0.0277578},{&quot;x&quot;:-0.384615,&quot;y&quot;:-2.69231,&quot;z&quot;:0.283578},{&quot;x&quot;:-0.384615,&quot;y&quot;:-2.4359,&quot;z&quot;:0.403202},{&quot;x&quot;:-0.384615,&quot;y&quot;:-2.17949,&quot;z&quot;:0.280472},{&quot;x&quot;:-0.384615,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.0620615},{&quot;x&quot;:-0.384615,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.461423},{&quot;x&quot;:-0.384615,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.679175},{&quot;x&quot;:-0.384615,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.516607},{&quot;x&quot;:-0.384615,&quot;y&quot;:-0.897436,&quot;z&quot;:0.075926},{&quot;x&quot;:-0.384615,&quot;y&quot;:-0.641026,&quot;z&quot;:0.953118},{&quot;x&quot;:-0.384615,&quot;y&quot;:-0.384615,&quot;z&quot;:1.821},{&quot;x&quot;:-0.384615,&quot;y&quot;:-0.128205,&quot;z&quot;:2.35849},{&quot;x&quot;:-0.384615,&quot;y&quot;:0.128205,&quot;z&quot;:2.35849},{&quot;x&quot;:-0.384615,&quot;y&quot;:0.384615,&quot;z&quot;:1.821},{&quot;x&quot;:-0.384615,&quot;y&quot;:0.641026,&quot;z&quot;:0.953118},{&quot;x&quot;:-0.384615,&quot;y&quot;:0.897436,&quot;z&quot;:0.075926},{&quot;x&quot;:-0.384615,&quot;y&quot;:1.15385,&quot;z&quot;:-0.516607},{&quot;x&quot;:-0.384615,&quot;y&quot;:1.41026,&quot;z&quot;:-0.679175},{&quot;x&quot;:-0.384615,&quot;y&quot;:1.66667,&quot;z&quot;:-0.461423},{&quot;x&quot;:-0.384615,&quot;y&quot;:1.92308,&quot;z&quot;:-0.0620615},{&quot;x&quot;:-0.384615,&quot;y&quot;:2.17949,&quot;z&quot;:0.280472},{&quot;x&quot;:-0.384615,&quot;y&quot;:2.4359,&quot;z&quot;:0.403202},{&quot;x&quot;:-0.384615,&quot;y&quot;:2.69231,&quot;z&quot;:0.283578},{&quot;x&quot;:-0.384615,&quot;y&quot;:2.94872,&quot;z&quot;:0.0277578},{&quot;x&quot;:-0.384615,&quot;y&quot;:3.20513,&quot;z&quot;:-0.203486},{&quot;x&quot;:-0.384615,&quot;y&quot;:3.46154,&quot;z&quot;:-0.286705},{&quot;x&quot;:-0.384615,&quot;y&quot;:3.71795,&quot;z&quot;:-0.196294},{&quot;x&quot;:-0.384615,&quot;y&quot;:3.97436,&quot;z&quot;:-0.00556527},{&quot;x&quot;:-0.384615,&quot;y&quot;:4.23077,&quot;z&quot;:0.165512},{&quot;x&quot;:-0.384615,&quot;y&quot;:4.48718,&quot;z&quot;:0.222029},{&quot;x&quot;:-0.384615,&quot;y&quot;:4.74359,&quot;z&quot;:0.144243},{&quot;x&quot;:-0.384615,&quot;y&quot;:5,&quot;z&quot;:-0.00925029},{&quot;x&quot;:-0.128205,&quot;y&quot;:-4.74359,&quot;z&quot;:0.151185},{&quot;x&quot;:-0.128205,&quot;y&quot;:-5,&quot;z&quot;:-0.00103223},{&quot;x&quot;:-0.128205,&quot;y&quot;:-4.48718,&quot;z&quot;:0.222633},{&quot;x&quot;:-0.128205,&quot;y&quot;:-4.23077,&quot;z&quot;:0.157742},{&quot;x&quot;:-0.128205,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.0186075},{&quot;x&quot;:-0.128205,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.207033},{&quot;x&quot;:-0.128205,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.286838},{&quot;x&quot;:-0.128205,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.189283},{&quot;x&quot;:-0.128205,&quot;y&quot;:-2.94872,&quot;z&quot;:0.0514202},{&quot;x&quot;:-0.128205,&quot;y&quot;:-2.69231,&quot;z&quot;:0.3033},{&quot;x&quot;:-0.128205,&quot;y&quot;:-2.4359,&quot;z&quot;:0.40252},{&quot;x&quot;:-0.128205,&quot;y&quot;:-2.17949,&quot;z&quot;:0.249367},{&quot;x&quot;:-0.128205,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.117402},{&quot;x&quot;:-0.128205,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.513396},{&quot;x&quot;:-0.128205,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.681774},{&quot;x&quot;:-0.128205,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.41721},{&quot;x&quot;:-0.128205,&quot;y&quot;:-0.897436,&quot;z&quot;:0.319224},{&quot;x&quot;:-0.128205,&quot;y&quot;:-0.641026,&quot;z&quot;:1.35477},{&quot;x&quot;:-0.128205,&quot;y&quot;:-0.384615,&quot;z&quot;:2.35849},{&quot;x&quot;:-0.128205,&quot;y&quot;:-0.128205,&quot;z&quot;:2.97445},{&quot;x&quot;:-0.128205,&quot;y&quot;:0.128205,&quot;z&quot;:2.97445},{&quot;x&quot;:-0.128205,&quot;y&quot;:0.384615,&quot;z&quot;:2.35849},{&quot;x&quot;:-0.128205,&quot;y&quot;:0.641026,&quot;z&quot;:1.35477},{&quot;x&quot;:-0.128205,&quot;y&quot;:0.897436,&quot;z&quot;:0.319224},{&quot;x&quot;:-0.128205,&quot;y&quot;:1.15385,&quot;z&quot;:-0.41721},{&quot;x&quot;:-0.128205,&quot;y&quot;:1.41026,&quot;z&quot;:-0.681774},{&quot;x&quot;:-0.128205,&quot;y&quot;:1.66667,&quot;z&quot;:-0.513396},{&quot;x&quot;:-0.128205,&quot;y&quot;:1.92308,&quot;z&quot;:-0.117402},{&quot;x&quot;:-0.128205,&quot;y&quot;:2.17949,&quot;z&quot;:0.249367},{&quot;x&quot;:-0.128205,&quot;y&quot;:2.4359,&quot;z&quot;:0.40252},{&quot;x&quot;:-0.128205,&quot;y&quot;:2.69231,&quot;z&quot;:0.3033},{&quot;x&quot;:-0.128205,&quot;y&quot;:2.94872,&quot;z&quot;:0.0514202},{&quot;x&quot;:-0.128205,&quot;y&quot;:3.20513,&quot;z&quot;:-0.189283},{&quot;x&quot;:-0.128205,&quot;y&quot;:3.46154,&quot;z&quot;:-0.286838},{&quot;x&quot;:-0.128205,&quot;y&quot;:3.71795,&quot;z&quot;:-0.207033},{&quot;x&quot;:-0.128205,&quot;y&quot;:3.97436,&quot;z&quot;:-0.0186075},{&quot;x&quot;:-0.128205,&quot;y&quot;:4.23077,&quot;z&quot;:0.157742},{&quot;x&quot;:-0.128205,&quot;y&quot;:4.48718,&quot;z&quot;:0.222633},{&quot;x&quot;:-0.128205,&quot;y&quot;:4.74359,&quot;z&quot;:0.151185},{&quot;x&quot;:-0.128205,&quot;y&quot;:5,&quot;z&quot;:-0.00103223},{&quot;x&quot;:0.128205,&quot;y&quot;:-4.74359,&quot;z&quot;:0.151185},{&quot;x&quot;:0.128205,&quot;y&quot;:-5,&quot;z&quot;:-0.00103223},{&quot;x&quot;:0.128205,&quot;y&quot;:-4.48718,&quot;z&quot;:0.222633},{&quot;x&quot;:0.128205,&quot;y&quot;:-4.23077,&quot;z&quot;:0.157742},{&quot;x&quot;:0.128205,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.0186075},{&quot;x&quot;:0.128205,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.207033},{&quot;x&quot;:0.128205,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.286838},{&quot;x&quot;:0.128205,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.189283},{&quot;x&quot;:0.128205,&quot;y&quot;:-2.94872,&quot;z&quot;:0.0514202},{&quot;x&quot;:0.128205,&quot;y&quot;:-2.69231,&quot;z&quot;:0.3033},{&quot;x&quot;:0.128205,&quot;y&quot;:-2.4359,&quot;z&quot;:0.40252},{&quot;x&quot;:0.128205,&quot;y&quot;:-2.17949,&quot;z&quot;:0.249367},{&quot;x&quot;:0.128205,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.117402},{&quot;x&quot;:0.128205,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.513396},{&quot;x&quot;:0.128205,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.681774},{&quot;x&quot;:0.128205,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.41721},{&quot;x&quot;:0.128205,&quot;y&quot;:-0.897436,&quot;z&quot;:0.319224},{&quot;x&quot;:0.128205,&quot;y&quot;:-0.641026,&quot;z&quot;:1.35477},{&quot;x&quot;:0.128205,&quot;y&quot;:-0.384615,&quot;z&quot;:2.35849},{&quot;x&quot;:0.128205,&quot;y&quot;:-0.128205,&quot;z&quot;:2.97445},{&quot;x&quot;:0.128205,&quot;y&quot;:0.128205,&quot;z&quot;:2.97445},{&quot;x&quot;:0.128205,&quot;y&quot;:0.384615,&quot;z&quot;:2.35849},{&quot;x&quot;:0.128205,&quot;y&quot;:0.641026,&quot;z&quot;:1.35477},{&quot;x&quot;:0.128205,&quot;y&quot;:0.897436,&quot;z&quot;:0.319224},{&quot;x&quot;:0.128205,&quot;y&quot;:1.15385,&quot;z&quot;:-0.41721},{&quot;x&quot;:0.128205,&quot;y&quot;:1.41026,&quot;z&quot;:-0.681774},{&quot;x&quot;:0.128205,&quot;y&quot;:1.66667,&quot;z&quot;:-0.513396},{&quot;x&quot;:0.128205,&quot;y&quot;:1.92308,&quot;z&quot;:-0.117402},{&quot;x&quot;:0.128205,&quot;y&quot;:2.17949,&quot;z&quot;:0.249367},{&quot;x&quot;:0.128205,&quot;y&quot;:2.4359,&quot;z&quot;:0.40252},{&quot;x&quot;:0.128205,&quot;y&quot;:2.69231,&quot;z&quot;:0.3033},{&quot;x&quot;:0.128205,&quot;y&quot;:2.94872,&quot;z&quot;:0.0514202},{&quot;x&quot;:0.128205,&quot;y&quot;:3.20513,&quot;z&quot;:-0.189283},{&quot;x&quot;:0.128205,&quot;y&quot;:3.46154,&quot;z&quot;:-0.286838},{&quot;x&quot;:0.128205,&quot;y&quot;:3.71795,&quot;z&quot;:-0.207033},{&quot;x&quot;:0.128205,&quot;y&quot;:3.97436,&quot;z&quot;:-0.0186075},{&quot;x&quot;:0.128205,&quot;y&quot;:4.23077,&quot;z&quot;:0.157742},{&quot;x&quot;:0.128205,&quot;y&quot;:4.48718,&quot;z&quot;:0.222633},{&quot;x&quot;:0.128205,&quot;y&quot;:4.74359,&quot;z&quot;:0.151185},{&quot;x&quot;:0.128205,&quot;y&quot;:5,&quot;z&quot;:-0.00103223},{&quot;x&quot;:0.384615,&quot;y&quot;:-4.74359,&quot;z&quot;:0.144243},{&quot;x&quot;:0.384615,&quot;y&quot;:-5,&quot;z&quot;:-0.00925029},{&quot;x&quot;:0.384615,&quot;y&quot;:-4.48718,&quot;z&quot;:0.222029},{&quot;x&quot;:0.384615,&quot;y&quot;:-4.23077,&quot;z&quot;:0.165512},{&quot;x&quot;:0.384615,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.00556527},{&quot;x&quot;:0.384615,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.196294},{&quot;x&quot;:0.384615,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.286705},{&quot;x&quot;:0.384615,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.203486},{&quot;x&quot;:0.384615,&quot;y&quot;:-2.94872,&quot;z&quot;:0.0277578},{&quot;x&quot;:0.384615,&quot;y&quot;:-2.69231,&quot;z&quot;:0.283578},{&quot;x&quot;:0.384615,&quot;y&quot;:-2.4359,&quot;z&quot;:0.403202},{&quot;x&quot;:0.384615,&quot;y&quot;:-2.17949,&quot;z&quot;:0.280472},{&quot;x&quot;:0.384615,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.0620615},{&quot;x&quot;:0.384615,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.461423},{&quot;x&quot;:0.384615,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.679175},{&quot;x&quot;:0.384615,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.516607},{&quot;x&quot;:0.384615,&quot;y&quot;:-0.897436,&quot;z&quot;:0.075926},{&quot;x&quot;:0.384615,&quot;y&quot;:-0.641026,&quot;z&quot;:0.953118},{&quot;x&quot;:0.384615,&quot;y&quot;:-0.384615,&quot;z&quot;:1.821},{&quot;x&quot;:0.384615,&quot;y&quot;:-0.128205,&quot;z&quot;:2.35849},{&quot;x&quot;:0.384615,&quot;y&quot;:0.128205,&quot;z&quot;:2.35849},{&quot;x&quot;:0.384615,&quot;y&quot;:0.384615,&quot;z&quot;:1.821},{&quot;x&quot;:0.384615,&quot;y&quot;:0.641026,&quot;z&quot;:0.953118},{&quot;x&quot;:0.384615,&quot;y&quot;:0.897436,&quot;z&quot;:0.075926},{&quot;x&quot;:0.384615,&quot;y&quot;:1.15385,&quot;z&quot;:-0.516607},{&quot;x&quot;:0.384615,&quot;y&quot;:1.41026,&quot;z&quot;:-0.679175},{&quot;x&quot;:0.384615,&quot;y&quot;:1.66667,&quot;z&quot;:-0.461423},{&quot;x&quot;:0.384615,&quot;y&quot;:1.92308,&quot;z&quot;:-0.0620615},{&quot;x&quot;:0.384615,&quot;y&quot;:2.17949,&quot;z&quot;:0.280472},{&quot;x&quot;:0.384615,&quot;y&quot;:2.4359,&quot;z&quot;:0.403202},{&quot;x&quot;:0.384615,&quot;y&quot;:2.69231,&quot;z&quot;:0.283578},{&quot;x&quot;:0.384615,&quot;y&quot;:2.94872,&quot;z&quot;:0.0277578},{&quot;x&quot;:0.384615,&quot;y&quot;:3.20513,&quot;z&quot;:-0.203486},{&quot;x&quot;:0.384615,&quot;y&quot;:3.46154,&quot;z&quot;:-0.286705},{&quot;x&quot;:0.384615,&quot;y&quot;:3.71795,&quot;z&quot;:-0.196294},{&quot;x&quot;:0.384615,&quot;y&quot;:3.97436,&quot;z&quot;:-0.00556527},{&quot;x&quot;:0.384615,&quot;y&quot;:4.23077,&quot;z&quot;:0.165512},{&quot;x&quot;:0.384615,&quot;y&quot;:4.48718,&quot;z&quot;:0.222029},{&quot;x&quot;:0.384615,&quot;y&quot;:4.74359,&quot;z&quot;:0.144243},{&quot;x&quot;:0.384615,&quot;y&quot;:5,&quot;z&quot;:-0.00925029},{&quot;x&quot;:0.641026,&quot;y&quot;:-4.74359,&quot;z&quot;:0.129745},{&quot;x&quot;:0.641026,&quot;y&quot;:-5,&quot;z&quot;:-0.0254343},{&quot;x&quot;:0.641026,&quot;y&quot;:-4.48718,&quot;z&quot;:0.219452},{&quot;x&quot;:0.641026,&quot;y&quot;:-4.23077,&quot;z&quot;:0.179624},{&quot;x&quot;:0.641026,&quot;y&quot;:-3.97436,&quot;z&quot;:0.0200516},{&quot;x&quot;:0.641026,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.173525},{&quot;x&quot;:0.641026,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.283477},{&quot;x&quot;:0.641026,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.228599},{&quot;x&quot;:0.641026,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.0183039},{&quot;x&quot;:0.641026,&quot;y&quot;:-2.69231,&quot;z&quot;:0.241014},{&quot;x&quot;:0.641026,&quot;y&quot;:-2.4359,&quot;z&quot;:0.396315},{&quot;x&quot;:0.641026,&quot;y&quot;:-2.17949,&quot;z&quot;:0.331825},{&quot;x&quot;:0.641026,&quot;y&quot;:-1.92308,&quot;z&quot;:0.0419504},{&quot;x&quot;:0.641026,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.349191},{&quot;x&quot;:0.641026,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.637865},{&quot;x&quot;:0.641026,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.639605},{&quot;x&quot;:0.641026,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.287938},{&quot;x&quot;:0.641026,&quot;y&quot;:-0.641026,&quot;z&quot;:0.319224},{&quot;x&quot;:0.641026,&quot;y&quot;:-0.384615,&quot;z&quot;:0.953118},{&quot;x&quot;:0.641026,&quot;y&quot;:-0.128205,&quot;z&quot;:1.35477},{&quot;x&quot;:0.641026,&quot;y&quot;:0.128205,&quot;z&quot;:1.35477},{&quot;x&quot;:0.641026,&quot;y&quot;:0.384615,&quot;z&quot;:0.953118},{&quot;x&quot;:0.641026,&quot;y&quot;:0.641026,&quot;z&quot;:0.319224},{&quot;x&quot;:0.641026,&quot;y&quot;:0.897436,&quot;z&quot;:-0.287938},{&quot;x&quot;:0.641026,&quot;y&quot;:1.15385,&quot;z&quot;:-0.639605},{&quot;x&quot;:0.641026,&quot;y&quot;:1.41026,&quot;z&quot;:-0.637865},{&quot;x&quot;:0.641026,&quot;y&quot;:1.66667,&quot;z&quot;:-0.349191},{&quot;x&quot;:0.641026,&quot;y&quot;:1.92308,&quot;z&quot;:0.0419504},{&quot;x&quot;:0.641026,&quot;y&quot;:2.17949,&quot;z&quot;:0.331825},{&quot;x&quot;:0.641026,&quot;y&quot;:2.4359,&quot;z&quot;:0.396315},{&quot;x&quot;:0.641026,&quot;y&quot;:2.69231,&quot;z&quot;:0.241014},{&quot;x&quot;:0.641026,&quot;y&quot;:2.94872,&quot;z&quot;:-0.0183039},{&quot;x&quot;:0.641026,&quot;y&quot;:3.20513,&quot;z&quot;:-0.228599},{&quot;x&quot;:0.641026,&quot;y&quot;:3.46154,&quot;z&quot;:-0.283477},{&quot;x&quot;:0.641026,&quot;y&quot;:3.71795,&quot;z&quot;:-0.173525},{&quot;x&quot;:0.641026,&quot;y&quot;:3.97436,&quot;z&quot;:0.0200516},{&quot;x&quot;:0.641026,&quot;y&quot;:4.23077,&quot;z&quot;:0.179624},{&quot;x&quot;:0.641026,&quot;y&quot;:4.48718,&quot;z&quot;:0.219452},{&quot;x&quot;:0.641026,&quot;y&quot;:4.74359,&quot;z&quot;:0.129745},{&quot;x&quot;:0.641026,&quot;y&quot;:5,&quot;z&quot;:-0.0254343},{&quot;x&quot;:0.897436,&quot;y&quot;:-4.74359,&quot;z&quot;:0.106706},{&quot;x&quot;:0.897436,&quot;y&quot;:-5,&quot;z&quot;:-0.0488962},{&quot;x&quot;:0.897436,&quot;y&quot;:-4.48718,&quot;z&quot;:0.212323},{&quot;x&quot;:0.897436,&quot;y&quot;:-4.23077,&quot;z&quot;:0.19711},{&quot;x&quot;:0.897436,&quot;y&quot;:-3.97436,&quot;z&quot;:0.0568624},{&quot;x&quot;:0.897436,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.136802},{&quot;x&quot;:0.897436,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.271715},{&quot;x&quot;:0.897436,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.257833},{&quot;x&quot;:0.897436,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.0829137},{&quot;x&quot;:0.897436,&quot;y&quot;:-2.69231,&quot;z&quot;:0.171748},{&quot;x&quot;:0.897436,&quot;y&quot;:-2.4359,&quot;z&quot;:0.367844},{&quot;x&quot;:0.897436,&quot;y&quot;:-2.17949,&quot;z&quot;:0.382179},{&quot;x&quot;:0.897436,&quot;y&quot;:-1.92308,&quot;z&quot;:0.176452},{&quot;x&quot;:0.897436,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.174373},{&quot;x&quot;:0.897436,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.513396},{&quot;x&quot;:0.897436,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.679175},{&quot;x&quot;:0.897436,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.58966},{&quot;x&quot;:0.897436,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.287938},{&quot;x&quot;:0.897436,&quot;y&quot;:-0.384615,&quot;z&quot;:0.075926},{&quot;x&quot;:0.897436,&quot;y&quot;:-0.128205,&quot;z&quot;:0.319224},{&quot;x&quot;:0.897436,&quot;y&quot;:0.128205,&quot;z&quot;:0.319224},{&quot;x&quot;:0.897436,&quot;y&quot;:0.384615,&quot;z&quot;:0.075926},{&quot;x&quot;:0.897436,&quot;y&quot;:0.641026,&quot;z&quot;:-0.287938},{&quot;x&quot;:0.897436,&quot;y&quot;:0.897436,&quot;z&quot;:-0.58966},{&quot;x&quot;:0.897436,&quot;y&quot;:1.15385,&quot;z&quot;:-0.679175},{&quot;x&quot;:0.897436,&quot;y&quot;:1.41026,&quot;z&quot;:-0.513396},{&quot;x&quot;:0.897436,&quot;y&quot;:1.66667,&quot;z&quot;:-0.174373},{&quot;x&quot;:0.897436,&quot;y&quot;:1.92308,&quot;z&quot;:0.176452},{&quot;x&quot;:0.897436,&quot;y&quot;:2.17949,&quot;z&quot;:0.382179},{&quot;x&quot;:0.897436,&quot;y&quot;:2.4359,&quot;z&quot;:0.367844},{&quot;x&quot;:0.897436,&quot;y&quot;:2.69231,&quot;z&quot;:0.171748},{&quot;x&quot;:0.897436,&quot;y&quot;:2.94872,&quot;z&quot;:-0.0829137},{&quot;x&quot;:0.897436,&quot;y&quot;:3.20513,&quot;z&quot;:-0.257833},{&quot;x&quot;:0.897436,&quot;y&quot;:3.46154,&quot;z&quot;:-0.271715},{&quot;x&quot;:0.897436,&quot;y&quot;:3.71795,&quot;z&quot;:-0.136802},{&quot;x&quot;:0.897436,&quot;y&quot;:3.97436,&quot;z&quot;:0.0568624},{&quot;x&quot;:0.897436,&quot;y&quot;:4.23077,&quot;z&quot;:0.19711},{&quot;x&quot;:0.897436,&quot;y&quot;:4.48718,&quot;z&quot;:0.212323},{&quot;x&quot;:0.897436,&quot;y&quot;:4.74359,&quot;z&quot;:0.106706},{&quot;x&quot;:0.897436,&quot;y&quot;:5,&quot;z&quot;:-0.0488962},{&quot;x&quot;:1.15385,&quot;y&quot;:-4.74359,&quot;z&quot;:0.0742643},{&quot;x&quot;:1.15385,&quot;y&quot;:-5,&quot;z&quot;:-0.0781865},{&quot;x&quot;:1.15385,&quot;y&quot;:-4.48718,&quot;z&quot;:0.197224},{&quot;x&quot;:1.15385,&quot;y&quot;:-4.23077,&quot;z&quot;:0.213387},{&quot;x&quot;:1.15385,&quot;y&quot;:-3.97436,&quot;z&quot;:0.101828},{&quot;x&quot;:1.15385,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.0848255},{&quot;x&quot;:1.15385,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.244667},{&quot;x&quot;:1.15385,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.280982},{&quot;x&quot;:1.15385,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.157706},{&quot;x&quot;:1.15385,&quot;y&quot;:-2.69231,&quot;z&quot;:0.0753696},{&quot;x&quot;:1.15385,&quot;y&quot;:-2.4359,&quot;z&quot;:0.3033},{&quot;x&quot;:1.15385,&quot;y&quot;:-2.17949,&quot;z&quot;:0.403202},{&quot;x&quot;:1.15385,&quot;y&quot;:-1.92308,&quot;z&quot;:0.307957},{&quot;x&quot;:1.15385,&quot;y&quot;:-1.66667,&quot;z&quot;:0.0419504},{&quot;x&quot;:1.15385,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.290947},{&quot;x&quot;:1.15385,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.56105},{&quot;x&quot;:1.15385,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.679175},{&quot;x&quot;:1.15385,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.639605},{&quot;x&quot;:1.15385,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.516607},{&quot;x&quot;:1.15385,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.41721},{&quot;x&quot;:1.15385,&quot;y&quot;:0.128205,&quot;z&quot;:-0.41721},{&quot;x&quot;:1.15385,&quot;y&quot;:0.384615,&quot;z&quot;:-0.516607},{&quot;x&quot;:1.15385,&quot;y&quot;:0.641026,&quot;z&quot;:-0.639605},{&quot;x&quot;:1.15385,&quot;y&quot;:0.897436,&quot;z&quot;:-0.679175},{&quot;x&quot;:1.15385,&quot;y&quot;:1.15385,&quot;z&quot;:-0.56105},{&quot;x&quot;:1.15385,&quot;y&quot;:1.41026,&quot;z&quot;:-0.290947},{&quot;x&quot;:1.15385,&quot;y&quot;:1.66667,&quot;z&quot;:0.0419504},{&quot;x&quot;:1.15385,&quot;y&quot;:1.92308,&quot;z&quot;:0.307957},{&quot;x&quot;:1.15385,&quot;y&quot;:2.17949,&quot;z&quot;:0.403202},{&quot;x&quot;:1.15385,&quot;y&quot;:2.4359,&quot;z&quot;:0.3033},{&quot;x&quot;:1.15385,&quot;y&quot;:2.69231,&quot;z&quot;:0.0753696},{&quot;x&quot;:1.15385,&quot;y&quot;:2.94872,&quot;z&quot;:-0.157706},{&quot;x&quot;:1.15385,&quot;y&quot;:3.20513,&quot;z&quot;:-0.280982},{&quot;x&quot;:1.15385,&quot;y&quot;:3.46154,&quot;z&quot;:-0.244667},{&quot;x&quot;:1.15385,&quot;y&quot;:3.71795,&quot;z&quot;:-0.0848255},{&quot;x&quot;:1.15385,&quot;y&quot;:3.97436,&quot;z&quot;:0.101828},{&quot;x&quot;:1.15385,&quot;y&quot;:4.23077,&quot;z&quot;:0.213387},{&quot;x&quot;:1.15385,&quot;y&quot;:4.48718,&quot;z&quot;:0.197224},{&quot;x&quot;:1.15385,&quot;y&quot;:4.74359,&quot;z&quot;:0.0742643},{&quot;x&quot;:1.15385,&quot;y&quot;:5,&quot;z&quot;:-0.0781865},{&quot;x&quot;:1.41026,&quot;y&quot;:-4.74359,&quot;z&quot;:0.0323727},{&quot;x&quot;:1.41026,&quot;y&quot;:-5,&quot;z&quot;:-0.110721},{&quot;x&quot;:1.41026,&quot;y&quot;:-4.48718,&quot;z&quot;:0.170587},{&quot;x&quot;:1.41026,&quot;y&quot;:-4.23077,&quot;z&quot;:0.222433},{&quot;x&quot;:1.41026,&quot;y&quot;:-3.97436,&quot;z&quot;:0.149508},{&quot;x&quot;:1.41026,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.0186075},{&quot;x&quot;:1.41026,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.196294},{&quot;x&quot;:1.41026,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.285574},{&quot;x&quot;:1.41026,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.228599},{&quot;x&quot;:1.41026,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.0405195},{&quot;x&quot;:1.41026,&quot;y&quot;:-2.4359,&quot;z&quot;:0.195356},{&quot;x&quot;:1.41026,&quot;y&quot;:-2.17949,&quot;z&quot;:0.367844},{&quot;x&quot;:1.41026,&quot;y&quot;:-1.92308,&quot;z&quot;:0.392145},{&quot;x&quot;:1.41026,&quot;y&quot;:-1.66667,&quot;z&quot;:0.249367},{&quot;x&quot;:1.41026,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.00881479},{&quot;x&quot;:1.41026,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.290947},{&quot;x&quot;:1.41026,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.513396},{&quot;x&quot;:1.41026,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.637865},{&quot;x&quot;:1.41026,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.679175},{&quot;x&quot;:1.41026,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.681774},{&quot;x&quot;:1.41026,&quot;y&quot;:0.128205,&quot;z&quot;:-0.681774},{&quot;x&quot;:1.41026,&quot;y&quot;:0.384615,&quot;z&quot;:-0.679175},{&quot;x&quot;:1.41026,&quot;y&quot;:0.641026,&quot;z&quot;:-0.637865},{&quot;x&quot;:1.41026,&quot;y&quot;:0.897436,&quot;z&quot;:-0.513396},{&quot;x&quot;:1.41026,&quot;y&quot;:1.15385,&quot;z&quot;:-0.290947},{&quot;x&quot;:1.41026,&quot;y&quot;:1.41026,&quot;z&quot;:-0.00881479},{&quot;x&quot;:1.41026,&quot;y&quot;:1.66667,&quot;z&quot;:0.249367},{&quot;x&quot;:1.41026,&quot;y&quot;:1.92308,&quot;z&quot;:0.392145},{&quot;x&quot;:1.41026,&quot;y&quot;:2.17949,&quot;z&quot;:0.367844},{&quot;x&quot;:1.41026,&quot;y&quot;:2.4359,&quot;z&quot;:0.195356},{&quot;x&quot;:1.41026,&quot;y&quot;:2.69231,&quot;z&quot;:-0.0405195},{&quot;x&quot;:1.41026,&quot;y&quot;:2.94872,&quot;z&quot;:-0.228599},{&quot;x&quot;:1.41026,&quot;y&quot;:3.20513,&quot;z&quot;:-0.285574},{&quot;x&quot;:1.41026,&quot;y&quot;:3.46154,&quot;z&quot;:-0.196294},{&quot;x&quot;:1.41026,&quot;y&quot;:3.71795,&quot;z&quot;:-0.0186075},{&quot;x&quot;:1.41026,&quot;y&quot;:3.97436,&quot;z&quot;:0.149508},{&quot;x&quot;:1.41026,&quot;y&quot;:4.23077,&quot;z&quot;:0.222433},{&quot;x&quot;:1.41026,&quot;y&quot;:4.48718,&quot;z&quot;:0.170587},{&quot;x&quot;:1.41026,&quot;y&quot;:4.74359,&quot;z&quot;:0.0323727},{&quot;x&quot;:1.41026,&quot;y&quot;:5,&quot;z&quot;:-0.110721},{&quot;x&quot;:1.66667,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.0173885},{&quot;x&quot;:1.66667,&quot;y&quot;:-5,&quot;z&quot;:-0.142506},{&quot;x&quot;:1.66667,&quot;y&quot;:-4.48718,&quot;z&quot;:0.129745},{&quot;x&quot;:1.66667,&quot;y&quot;:-4.23077,&quot;z&quot;:0.2175},{&quot;x&quot;:1.66667,&quot;y&quot;:-3.97436,&quot;z&quot;:0.19178},{&quot;x&quot;:1.66667,&quot;y&quot;:-3.71795,&quot;z&quot;:0.0568624},{&quot;x&quot;:1.66667,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.124047},{&quot;x&quot;:1.66667,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.259683},{&quot;x&quot;:1.66667,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.27687},{&quot;x&quot;:1.66667,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.157706},{&quot;x&quot;:1.66667,&quot;y&quot;:-2.4359,&quot;z&quot;:0.0514202},{&quot;x&quot;:1.66667,&quot;y&quot;:-2.17949,&quot;z&quot;:0.262762},{&quot;x&quot;:1.66667,&quot;y&quot;:-1.92308,&quot;z&quot;:0.389073},{&quot;x&quot;:1.66667,&quot;y&quot;:-1.66667,&quot;z&quot;:0.382179},{&quot;x&quot;:1.66667,&quot;y&quot;:-1.41026,&quot;z&quot;:0.249367},{&quot;x&quot;:1.66667,&quot;y&quot;:-1.15385,&quot;z&quot;:0.0419504},{&quot;x&quot;:1.66667,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.174373},{&quot;x&quot;:1.66667,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.349191},{&quot;x&quot;:1.66667,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.461423},{&quot;x&quot;:1.66667,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.513396},{&quot;x&quot;:1.66667,&quot;y&quot;:0.128205,&quot;z&quot;:-0.513396},{&quot;x&quot;:1.66667,&quot;y&quot;:0.384615,&quot;z&quot;:-0.461423},{&quot;x&quot;:1.66667,&quot;y&quot;:0.641026,&quot;z&quot;:-0.349191},{&quot;x&quot;:1.66667,&quot;y&quot;:0.897436,&quot;z&quot;:-0.174373},{&quot;x&quot;:1.66667,&quot;y&quot;:1.15385,&quot;z&quot;:0.0419504},{&quot;x&quot;:1.66667,&quot;y&quot;:1.41026,&quot;z&quot;:0.249367},{&quot;x&quot;:1.66667,&quot;y&quot;:1.66667,&quot;z&quot;:0.382179},{&quot;x&quot;:1.66667,&quot;y&quot;:1.92308,&quot;z&quot;:0.389073},{&quot;x&quot;:1.66667,&quot;y&quot;:2.17949,&quot;z&quot;:0.262762},{&quot;x&quot;:1.66667,&quot;y&quot;:2.4359,&quot;z&quot;:0.0514202},{&quot;x&quot;:1.66667,&quot;y&quot;:2.69231,&quot;z&quot;:-0.157706},{&quot;x&quot;:1.66667,&quot;y&quot;:2.94872,&quot;z&quot;:-0.27687},{&quot;x&quot;:1.66667,&quot;y&quot;:3.20513,&quot;z&quot;:-0.259683},{&quot;x&quot;:1.66667,&quot;y&quot;:3.46154,&quot;z&quot;:-0.124047},{&quot;x&quot;:1.66667,&quot;y&quot;:3.71795,&quot;z&quot;:0.0568624},{&quot;x&quot;:1.66667,&quot;y&quot;:3.97436,&quot;z&quot;:0.19178},{&quot;x&quot;:1.66667,&quot;y&quot;:4.23077,&quot;z&quot;:0.2175},{&quot;x&quot;:1.66667,&quot;y&quot;:4.48718,&quot;z&quot;:0.129745},{&quot;x&quot;:1.66667,&quot;y&quot;:4.74359,&quot;z&quot;:-0.0173885},{&quot;x&quot;:1.66667,&quot;y&quot;:5,&quot;z&quot;:-0.142506},{&quot;x&quot;:1.92308,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.0711086},{&quot;x&quot;:1.92308,&quot;y&quot;:-5,&quot;z&quot;:-0.168165},{&quot;x&quot;:1.92308,&quot;y&quot;:-4.48718,&quot;z&quot;:0.0742643},{&quot;x&quot;:1.92308,&quot;y&quot;:-4.23077,&quot;z&quot;:0.192539},{&quot;x&quot;:1.92308,&quot;y&quot;:-3.97436,&quot;z&quot;:0.218497},{&quot;x&quot;:1.92308,&quot;y&quot;:-3.71795,&quot;z&quot;:0.131696},{&quot;x&quot;:1.92308,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.0317629},{&quot;x&quot;:1.92308,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.196294},{&quot;x&quot;:1.92308,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.283477},{&quot;x&quot;:1.92308,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.249223},{&quot;x&quot;:1.92308,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.10295},{&quot;x&quot;:1.92308,&quot;y&quot;:-2.17949,&quot;z&quot;:0.0994967},{&quot;x&quot;:1.92308,&quot;y&quot;:-1.92308,&quot;z&quot;:0.283578},{&quot;x&quot;:1.92308,&quot;y&quot;:-1.66667,&quot;z&quot;:0.389073},{&quot;x&quot;:1.92308,&quot;y&quot;:-1.41026,&quot;z&quot;:0.392145},{&quot;x&quot;:1.92308,&quot;y&quot;:-1.15385,&quot;z&quot;:0.307957},{&quot;x&quot;:1.92308,&quot;y&quot;:-0.897436,&quot;z&quot;:0.176452},{&quot;x&quot;:1.92308,&quot;y&quot;:-0.641026,&quot;z&quot;:0.0419504},{&quot;x&quot;:1.92308,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.0620615},{&quot;x&quot;:1.92308,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.117402},{&quot;x&quot;:1.92308,&quot;y&quot;:0.128205,&quot;z&quot;:-0.117402},{&quot;x&quot;:1.92308,&quot;y&quot;:0.384615,&quot;z&quot;:-0.0620615},{&quot;x&quot;:1.92308,&quot;y&quot;:0.641026,&quot;z&quot;:0.0419504},{&quot;x&quot;:1.92308,&quot;y&quot;:0.897436,&quot;z&quot;:0.176452},{&quot;x&quot;:1.92308,&quot;y&quot;:1.15385,&quot;z&quot;:0.307957},{&quot;x&quot;:1.92308,&quot;y&quot;:1.41026,&quot;z&quot;:0.392145},{&quot;x&quot;:1.92308,&quot;y&quot;:1.66667,&quot;z&quot;:0.389073},{&quot;x&quot;:1.92308,&quot;y&quot;:1.92308,&quot;z&quot;:0.283578},{&quot;x&quot;:1.92308,&quot;y&quot;:2.17949,&quot;z&quot;:0.0994967},{&quot;x&quot;:1.92308,&quot;y&quot;:2.4359,&quot;z&quot;:-0.10295},{&quot;x&quot;:1.92308,&quot;y&quot;:2.69231,&quot;z&quot;:-0.249223},{&quot;x&quot;:1.92308,&quot;y&quot;:2.94872,&quot;z&quot;:-0.283477},{&quot;x&quot;:1.92308,&quot;y&quot;:3.20513,&quot;z&quot;:-0.196294},{&quot;x&quot;:1.92308,&quot;y&quot;:3.46154,&quot;z&quot;:-0.0317629},{&quot;x&quot;:1.92308,&quot;y&quot;:3.71795,&quot;z&quot;:0.131696},{&quot;x&quot;:1.92308,&quot;y&quot;:3.97436,&quot;z&quot;:0.218497},{&quot;x&quot;:1.92308,&quot;y&quot;:4.23077,&quot;z&quot;:0.192539},{&quot;x&quot;:1.92308,&quot;y&quot;:4.48718,&quot;z&quot;:0.0742643},{&quot;x&quot;:1.92308,&quot;y&quot;:4.74359,&quot;z&quot;:-0.0711086},{&quot;x&quot;:1.92308,&quot;y&quot;:5,&quot;z&quot;:-0.168165},{&quot;x&quot;:2.17949,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.122256},{&quot;x&quot;:2.17949,&quot;y&quot;:-5,&quot;z&quot;:-0.181459},{&quot;x&quot;:2.17949,&quot;y&quot;:-4.48718,&quot;z&quot;:0.00725264},{&quot;x&quot;:2.17949,&quot;y&quot;:-4.23077,&quot;z&quot;:0.144243},{&quot;x&quot;:2.17949,&quot;y&quot;:-3.97436,&quot;z&quot;:0.219452},{&quot;x&quot;:2.17949,&quot;y&quot;:-3.71795,&quot;z&quot;:0.19178},{&quot;x&quot;:2.17949,&quot;y&quot;:-3.46154,&quot;z&quot;:0.0685929},{&quot;x&quot;:2.17949,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.0980187},{&quot;x&quot;:2.17949,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.236145},{&quot;x&quot;:2.17949,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.286838},{&quot;x&quot;:2.17949,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.228599},{&quot;x&quot;:2.17949,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.0829137},{&quot;x&quot;:2.17949,&quot;y&quot;:-1.92308,&quot;z&quot;:0.0994967},{&quot;x&quot;:2.17949,&quot;y&quot;:-1.66667,&quot;z&quot;:0.262762},{&quot;x&quot;:2.17949,&quot;y&quot;:-1.41026,&quot;z&quot;:0.367844},{&quot;x&quot;:2.17949,&quot;y&quot;:-1.15385,&quot;z&quot;:0.403202},{&quot;x&quot;:2.17949,&quot;y&quot;:-0.897436,&quot;z&quot;:0.382179},{&quot;x&quot;:2.17949,&quot;y&quot;:-0.641026,&quot;z&quot;:0.331825},{&quot;x&quot;:2.17949,&quot;y&quot;:-0.384615,&quot;z&quot;:0.280472},{&quot;x&quot;:2.17949,&quot;y&quot;:-0.128205,&quot;z&quot;:0.249367},{&quot;x&quot;:2.17949,&quot;y&quot;:0.128205,&quot;z&quot;:0.249367},{&quot;x&quot;:2.17949,&quot;y&quot;:0.384615,&quot;z&quot;:0.280472},{&quot;x&quot;:2.17949,&quot;y&quot;:0.641026,&quot;z&quot;:0.331825},{&quot;x&quot;:2.17949,&quot;y&quot;:0.897436,&quot;z&quot;:0.382179},{&quot;x&quot;:2.17949,&quot;y&quot;:1.15385,&quot;z&quot;:0.403202},{&quot;x&quot;:2.17949,&quot;y&quot;:1.41026,&quot;z&quot;:0.367844},{&quot;x&quot;:2.17949,&quot;y&quot;:1.66667,&quot;z&quot;:0.262762},{&quot;x&quot;:2.17949,&quot;y&quot;:1.92308,&quot;z&quot;:0.0994967},{&quot;x&quot;:2.17949,&quot;y&quot;:2.17949,&quot;z&quot;:-0.0829137},{&quot;x&quot;:2.17949,&quot;y&quot;:2.4359,&quot;z&quot;:-0.228599},{&quot;x&quot;:2.17949,&quot;y&quot;:2.69231,&quot;z&quot;:-0.286838},{&quot;x&quot;:2.17949,&quot;y&quot;:2.94872,&quot;z&quot;:-0.236145},{&quot;x&quot;:2.17949,&quot;y&quot;:3.20513,&quot;z&quot;:-0.0980187},{&quot;x&quot;:2.17949,&quot;y&quot;:3.46154,&quot;z&quot;:0.0685929},{&quot;x&quot;:2.17949,&quot;y&quot;:3.71795,&quot;z&quot;:0.19178},{&quot;x&quot;:2.17949,&quot;y&quot;:3.97436,&quot;z&quot;:0.219452},{&quot;x&quot;:2.17949,&quot;y&quot;:4.23077,&quot;z&quot;:0.144243},{&quot;x&quot;:2.17949,&quot;y&quot;:4.48718,&quot;z&quot;:0.00725264},{&quot;x&quot;:2.17949,&quot;y&quot;:4.74359,&quot;z&quot;:-0.122256},{&quot;x&quot;:2.17949,&quot;y&quot;:5,&quot;z&quot;:-0.181459},{&quot;x&quot;:2.4359,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.162151},{&quot;x&quot;:2.4359,&quot;y&quot;:-5,&quot;z&quot;:-0.17642},{&quot;x&quot;:2.4359,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.063861},{&quot;x&quot;:2.4359,&quot;y&quot;:-4.23077,&quot;z&quot;:0.0742643},{&quot;x&quot;:2.4359,&quot;y&quot;:-3.97436,&quot;z&quot;:0.187517},{&quot;x&quot;:2.4359,&quot;y&quot;:-3.71795,&quot;z&quot;:0.221612},{&quot;x&quot;:2.4359,&quot;y&quot;:-3.46154,&quot;z&quot;:0.157742},{&quot;x&quot;:2.4359,&quot;y&quot;:-3.20513,&quot;z&quot;:0.0200516},{&quot;x&quot;:2.4359,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.136802},{&quot;x&quot;:2.4359,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.252527},{&quot;x&quot;:2.4359,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.285944},{&quot;x&quot;:2.4359,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.228599},{&quot;x&quot;:2.4359,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.10295},{&quot;x&quot;:2.4359,&quot;y&quot;:-1.66667,&quot;z&quot;:0.0514202},{&quot;x&quot;:2.4359,&quot;y&quot;:-1.41026,&quot;z&quot;:0.195356},{&quot;x&quot;:2.4359,&quot;y&quot;:-1.15385,&quot;z&quot;:0.3033},{&quot;x&quot;:2.4359,&quot;y&quot;:-0.897436,&quot;z&quot;:0.367844},{&quot;x&quot;:2.4359,&quot;y&quot;:-0.641026,&quot;z&quot;:0.396315},{&quot;x&quot;:2.4359,&quot;y&quot;:-0.384615,&quot;z&quot;:0.403202},{&quot;x&quot;:2.4359,&quot;y&quot;:-0.128205,&quot;z&quot;:0.40252},{&quot;x&quot;:2.4359,&quot;y&quot;:0.128205,&quot;z&quot;:0.40252},{&quot;x&quot;:2.4359,&quot;y&quot;:0.384615,&quot;z&quot;:0.403202},{&quot;x&quot;:2.4359,&quot;y&quot;:0.641026,&quot;z&quot;:0.396315},{&quot;x&quot;:2.4359,&quot;y&quot;:0.897436,&quot;z&quot;:0.367844},{&quot;x&quot;:2.4359,&quot;y&quot;:1.15385,&quot;z&quot;:0.3033},{&quot;x&quot;:2.4359,&quot;y&quot;:1.41026,&quot;z&quot;:0.195356},{&quot;x&quot;:2.4359,&quot;y&quot;:1.66667,&quot;z&quot;:0.0514202},{&quot;x&quot;:2.4359,&quot;y&quot;:1.92308,&quot;z&quot;:-0.10295},{&quot;x&quot;:2.4359,&quot;y&quot;:2.17949,&quot;z&quot;:-0.228599},{&quot;x&quot;:2.4359,&quot;y&quot;:2.4359,&quot;z&quot;:-0.285944},{&quot;x&quot;:2.4359,&quot;y&quot;:2.69231,&quot;z&quot;:-0.252527},{&quot;x&quot;:2.4359,&quot;y&quot;:2.94872,&quot;z&quot;:-0.136802},{&quot;x&quot;:2.4359,&quot;y&quot;:3.20513,&quot;z&quot;:0.0200516},{&quot;x&quot;:2.4359,&quot;y&quot;:3.46154,&quot;z&quot;:0.157742},{&quot;x&quot;:2.4359,&quot;y&quot;:3.71795,&quot;z&quot;:0.221612},{&quot;x&quot;:2.4359,&quot;y&quot;:3.97436,&quot;z&quot;:0.187517},{&quot;x&quot;:2.4359,&quot;y&quot;:4.23077,&quot;z&quot;:0.0742643},{&quot;x&quot;:2.4359,&quot;y&quot;:4.48718,&quot;z&quot;:-0.063861},{&quot;x&quot;:2.4359,&quot;y&quot;:4.74359,&quot;z&quot;:-0.162151},{&quot;x&quot;:2.4359,&quot;y&quot;:5,&quot;z&quot;:-0.17642},{&quot;x&quot;:2.69231,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.181459},{&quot;x&quot;:2.69231,&quot;y&quot;:-5,&quot;z&quot;:-0.149042},{&quot;x&quot;:2.69231,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.127679},{&quot;x&quot;:2.69231,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.00925029},{&quot;x&quot;:2.69231,&quot;y&quot;:-3.97436,&quot;z&quot;:0.122221},{&quot;x&quot;:2.69231,&quot;y&quot;:-3.71795,&quot;z&quot;:0.209122},{&quot;x&quot;:2.69231,&quot;y&quot;:-3.46154,&quot;z&quot;:0.213387},{&quot;x&quot;:2.69231,&quot;y&quot;:-3.20513,&quot;z&quot;:0.131696},{&quot;x&quot;:2.69231,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.00556527},{&quot;x&quot;:2.69231,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.149328},{&quot;x&quot;:2.69231,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.252527},{&quot;x&quot;:2.69231,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.286838},{&quot;x&quot;:2.69231,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.249223},{&quot;x&quot;:2.69231,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.157706},{&quot;x&quot;:2.69231,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.0405195},{&quot;x&quot;:2.69231,&quot;y&quot;:-1.15385,&quot;z&quot;:0.0753696},{&quot;x&quot;:2.69231,&quot;y&quot;:-0.897436,&quot;z&quot;:0.171748},{&quot;x&quot;:2.69231,&quot;y&quot;:-0.641026,&quot;z&quot;:0.241014},{&quot;x&quot;:2.69231,&quot;y&quot;:-0.384615,&quot;z&quot;:0.283578},{&quot;x&quot;:2.69231,&quot;y&quot;:-0.128205,&quot;z&quot;:0.3033},{&quot;x&quot;:2.69231,&quot;y&quot;:0.128205,&quot;z&quot;:0.3033},{&quot;x&quot;:2.69231,&quot;y&quot;:0.384615,&quot;z&quot;:0.283578},{&quot;x&quot;:2.69231,&quot;y&quot;:0.641026,&quot;z&quot;:0.241014},{&quot;x&quot;:2.69231,&quot;y&quot;:0.897436,&quot;z&quot;:0.171748},{&quot;x&quot;:2.69231,&quot;y&quot;:1.15385,&quot;z&quot;:0.0753696},{&quot;x&quot;:2.69231,&quot;y&quot;:1.41026,&quot;z&quot;:-0.0405195},{&quot;x&quot;:2.69231,&quot;y&quot;:1.66667,&quot;z&quot;:-0.157706},{&quot;x&quot;:2.69231,&quot;y&quot;:1.92308,&quot;z&quot;:-0.249223},{&quot;x&quot;:2.69231,&quot;y&quot;:2.17949,&quot;z&quot;:-0.286838},{&quot;x&quot;:2.69231,&quot;y&quot;:2.4359,&quot;z&quot;:-0.252527},{&quot;x&quot;:2.69231,&quot;y&quot;:2.69231,&quot;z&quot;:-0.149328},{&quot;x&quot;:2.69231,&quot;y&quot;:2.94872,&quot;z&quot;:-0.00556527},{&quot;x&quot;:2.69231,&quot;y&quot;:3.20513,&quot;z&quot;:0.131696},{&quot;x&quot;:2.69231,&quot;y&quot;:3.46154,&quot;z&quot;:0.213387},{&quot;x&quot;:2.69231,&quot;y&quot;:3.71795,&quot;z&quot;:0.209122},{&quot;x&quot;:2.69231,&quot;y&quot;:3.97436,&quot;z&quot;:0.122221},{&quot;x&quot;:2.69231,&quot;y&quot;:4.23077,&quot;z&quot;:-0.00925029},{&quot;x&quot;:2.69231,&quot;y&quot;:4.48718,&quot;z&quot;:-0.127679},{&quot;x&quot;:2.69231,&quot;y&quot;:4.74359,&quot;z&quot;:-0.181459},{&quot;x&quot;:2.69231,&quot;y&quot;:5,&quot;z&quot;:-0.149042},{&quot;x&quot;:2.94872,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.172635},{&quot;x&quot;:2.94872,&quot;y&quot;:-5,&quot;z&quot;:-0.0991757},{&quot;x&quot;:2.94872,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.17077},{&quot;x&quot;:2.94872,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.0917965},{&quot;x&quot;:2.94872,&quot;y&quot;:-3.97436,&quot;z&quot;:0.0323727},{&quot;x&quot;:2.94872,&quot;y&quot;:-3.71795,&quot;z&quot;:0.151185},{&quot;x&quot;:2.94872,&quot;y&quot;:-3.46154,&quot;z&quot;:0.2175},{&quot;x&quot;:2.94872,&quot;y&quot;:-3.20513,&quot;z&quot;:0.206261},{&quot;x&quot;:2.94872,&quot;y&quot;:-2.94872,&quot;z&quot;:0.122145},{&quot;x&quot;:2.94872,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.00556527},{&quot;x&quot;:2.94872,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.136802},{&quot;x&quot;:2.94872,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.236145},{&quot;x&quot;:2.94872,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.283477},{&quot;x&quot;:2.94872,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.27687},{&quot;x&quot;:2.94872,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.228599},{&quot;x&quot;:2.94872,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.157706},{&quot;x&quot;:2.94872,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.0829137},{&quot;x&quot;:2.94872,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.0183039},{&quot;x&quot;:2.94872,&quot;y&quot;:-0.384615,&quot;z&quot;:0.0277578},{&quot;x&quot;:2.94872,&quot;y&quot;:-0.128205,&quot;z&quot;:0.0514202},{&quot;x&quot;:2.94872,&quot;y&quot;:0.128205,&quot;z&quot;:0.0514202},{&quot;x&quot;:2.94872,&quot;y&quot;:0.384615,&quot;z&quot;:0.0277578},{&quot;x&quot;:2.94872,&quot;y&quot;:0.641026,&quot;z&quot;:-0.0183039},{&quot;x&quot;:2.94872,&quot;y&quot;:0.897436,&quot;z&quot;:-0.0829137},{&quot;x&quot;:2.94872,&quot;y&quot;:1.15385,&quot;z&quot;:-0.157706},{&quot;x&quot;:2.94872,&quot;y&quot;:1.41026,&quot;z&quot;:-0.228599},{&quot;x&quot;:2.94872,&quot;y&quot;:1.66667,&quot;z&quot;:-0.27687},{&quot;x&quot;:2.94872,&quot;y&quot;:1.92308,&quot;z&quot;:-0.283477},{&quot;x&quot;:2.94872,&quot;y&quot;:2.17949,&quot;z&quot;:-0.236145},{&quot;x&quot;:2.94872,&quot;y&quot;:2.4359,&quot;z&quot;:-0.136802},{&quot;x&quot;:2.94872,&quot;y&quot;:2.69231,&quot;z&quot;:-0.00556527},{&quot;x&quot;:2.94872,&quot;y&quot;:2.94872,&quot;z&quot;:0.122145},{&quot;x&quot;:2.94872,&quot;y&quot;:3.20513,&quot;z&quot;:0.206261},{&quot;x&quot;:2.94872,&quot;y&quot;:3.46154,&quot;z&quot;:0.2175},{&quot;x&quot;:2.94872,&quot;y&quot;:3.71795,&quot;z&quot;:0.151185},{&quot;x&quot;:2.94872,&quot;y&quot;:3.97436,&quot;z&quot;:0.0323727},{&quot;x&quot;:2.94872,&quot;y&quot;:4.23077,&quot;z&quot;:-0.0917965},{&quot;x&quot;:2.94872,&quot;y&quot;:4.48718,&quot;z&quot;:-0.17077},{&quot;x&quot;:2.94872,&quot;y&quot;:4.74359,&quot;z&quot;:-0.172635},{&quot;x&quot;:2.94872,&quot;y&quot;:5,&quot;z&quot;:-0.0991757},{&quot;x&quot;:3.20513,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.13286},{&quot;x&quot;:3.20513,&quot;y&quot;:-5,&quot;z&quot;:-0.0320207},{&quot;x&quot;:3.20513,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.181163},{&quot;x&quot;:3.20513,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.155074},{&quot;x&quot;:3.20513,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.063861},{&quot;x&quot;:3.20513,&quot;y&quot;:-3.71795,&quot;z&quot;:0.0575929},{&quot;x&quot;:3.20513,&quot;y&quot;:-3.46154,&quot;z&quot;:0.164373},{&quot;x&quot;:3.20513,&quot;y&quot;:-3.20513,&quot;z&quot;:0.219452},{&quot;x&quot;:3.20513,&quot;y&quot;:-2.94872,&quot;z&quot;:0.206261},{&quot;x&quot;:3.20513,&quot;y&quot;:-2.69231,&quot;z&quot;:0.131696},{&quot;x&quot;:3.20513,&quot;y&quot;:-2.4359,&quot;z&quot;:0.0200516},{&quot;x&quot;:3.20513,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.0980187},{&quot;x&quot;:3.20513,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.196294},{&quot;x&quot;:3.20513,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.259683},{&quot;x&quot;:3.20513,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.285574},{&quot;x&quot;:3.20513,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.280982},{&quot;x&quot;:3.20513,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.257833},{&quot;x&quot;:3.20513,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.228599},{&quot;x&quot;:3.20513,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.203486},{&quot;x&quot;:3.20513,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.189283},{&quot;x&quot;:3.20513,&quot;y&quot;:0.128205,&quot;z&quot;:-0.189283},{&quot;x&quot;:3.20513,&quot;y&quot;:0.384615,&quot;z&quot;:-0.203486},{&quot;x&quot;:3.20513,&quot;y&quot;:0.641026,&quot;z&quot;:-0.228599},{&quot;x&quot;:3.20513,&quot;y&quot;:0.897436,&quot;z&quot;:-0.257833},{&quot;x&quot;:3.20513,&quot;y&quot;:1.15385,&quot;z&quot;:-0.280982},{&quot;x&quot;:3.20513,&quot;y&quot;:1.41026,&quot;z&quot;:-0.285574},{&quot;x&quot;:3.20513,&quot;y&quot;:1.66667,&quot;z&quot;:-0.259683},{&quot;x&quot;:3.20513,&quot;y&quot;:1.92308,&quot;z&quot;:-0.196294},{&quot;x&quot;:3.20513,&quot;y&quot;:2.17949,&quot;z&quot;:-0.0980187},{&quot;x&quot;:3.20513,&quot;y&quot;:2.4359,&quot;z&quot;:0.0200516},{&quot;x&quot;:3.20513,&quot;y&quot;:2.69231,&quot;z&quot;:0.131696},{&quot;x&quot;:3.20513,&quot;y&quot;:2.94872,&quot;z&quot;:0.206261},{&quot;x&quot;:3.20513,&quot;y&quot;:3.20513,&quot;z&quot;:0.219452},{&quot;x&quot;:3.20513,&quot;y&quot;:3.46154,&quot;z&quot;:0.164373},{&quot;x&quot;:3.20513,&quot;y&quot;:3.71795,&quot;z&quot;:0.0575929},{&quot;x&quot;:3.20513,&quot;y&quot;:3.97436,&quot;z&quot;:-0.063861},{&quot;x&quot;:3.20513,&quot;y&quot;:4.23077,&quot;z&quot;:-0.155074},{&quot;x&quot;:3.20513,&quot;y&quot;:4.48718,&quot;z&quot;:-0.181163},{&quot;x&quot;:3.20513,&quot;y&quot;:4.74359,&quot;z&quot;:-0.13286},{&quot;x&quot;:3.20513,&quot;y&quot;:5,&quot;z&quot;:-0.0320207},{&quot;x&quot;:3.46154,&quot;y&quot;:-4.74359,&quot;z&quot;:-0.0665003},{&quot;x&quot;:3.46154,&quot;y&quot;:-5,&quot;z&quot;:0.0415459},{&quot;x&quot;:3.46154,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.152669},{&quot;x&quot;:3.46154,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.181918},{&quot;x&quot;:3.46154,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.142506},{&quot;x&quot;:3.46154,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.0488962},{&quot;x&quot;:3.46154,&quot;y&quot;:-3.46154,&quot;z&quot;:0.065953},{&quot;x&quot;:3.46154,&quot;y&quot;:-3.20513,&quot;z&quot;:0.164373},{&quot;x&quot;:3.46154,&quot;y&quot;:-2.94872,&quot;z&quot;:0.2175},{&quot;x&quot;:3.46154,&quot;y&quot;:-2.69231,&quot;z&quot;:0.213387},{&quot;x&quot;:3.46154,&quot;y&quot;:-2.4359,&quot;z&quot;:0.157742},{&quot;x&quot;:3.46154,&quot;y&quot;:-2.17949,&quot;z&quot;:0.0685929},{&quot;x&quot;:3.46154,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.0317629},{&quot;x&quot;:3.46154,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.124047},{&quot;x&quot;:3.46154,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.196294},{&quot;x&quot;:3.46154,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.244667},{&quot;x&quot;:3.46154,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.271715},{&quot;x&quot;:3.46154,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.283477},{&quot;x&quot;:3.46154,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.286705},{&quot;x&quot;:3.46154,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.286838},{&quot;x&quot;:3.46154,&quot;y&quot;:0.128205,&quot;z&quot;:-0.286838},{&quot;x&quot;:3.46154,&quot;y&quot;:0.384615,&quot;z&quot;:-0.286705},{&quot;x&quot;:3.46154,&quot;y&quot;:0.641026,&quot;z&quot;:-0.283477},{&quot;x&quot;:3.46154,&quot;y&quot;:0.897436,&quot;z&quot;:-0.271715},{&quot;x&quot;:3.46154,&quot;y&quot;:1.15385,&quot;z&quot;:-0.244667},{&quot;x&quot;:3.46154,&quot;y&quot;:1.41026,&quot;z&quot;:-0.196294},{&quot;x&quot;:3.46154,&quot;y&quot;:1.66667,&quot;z&quot;:-0.124047},{&quot;x&quot;:3.46154,&quot;y&quot;:1.92308,&quot;z&quot;:-0.0317629},{&quot;x&quot;:3.46154,&quot;y&quot;:2.17949,&quot;z&quot;:0.0685929},{&quot;x&quot;:3.46154,&quot;y&quot;:2.4359,&quot;z&quot;:0.157742},{&quot;x&quot;:3.46154,&quot;y&quot;:2.69231,&quot;z&quot;:0.213387},{&quot;x&quot;:3.46154,&quot;y&quot;:2.94872,&quot;z&quot;:0.2175},{&quot;x&quot;:3.46154,&quot;y&quot;:3.20513,&quot;z&quot;:0.164373},{&quot;x&quot;:3.46154,&quot;y&quot;:3.46154,&quot;z&quot;:0.065953},{&quot;x&quot;:3.46154,&quot;y&quot;:3.71795,&quot;z&quot;:-0.0488962},{&quot;x&quot;:3.46154,&quot;y&quot;:3.97436,&quot;z&quot;:-0.142506},{&quot;x&quot;:3.46154,&quot;y&quot;:4.23077,&quot;z&quot;:-0.181918},{&quot;x&quot;:3.46154,&quot;y&quot;:4.48718,&quot;z&quot;:-0.152669},{&quot;x&quot;:3.46154,&quot;y&quot;:4.74359,&quot;z&quot;:-0.0665003},{&quot;x&quot;:3.46154,&quot;y&quot;:5,&quot;z&quot;:0.0415459},{&quot;x&quot;:3.71795,&quot;y&quot;:-4.74359,&quot;z&quot;:0.0140594},{&quot;x&quot;:3.71795,&quot;y&quot;:-5,&quot;z&quot;:0.106446},{&quot;x&quot;:3.71795,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.088584},{&quot;x&quot;:3.71795,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.162437},{&quot;x&quot;:3.71795,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.180736},{&quot;x&quot;:3.71795,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.137809},{&quot;x&quot;:3.71795,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.0488962},{&quot;x&quot;:3.71795,&quot;y&quot;:-3.20513,&quot;z&quot;:0.0575929},{&quot;x&quot;:3.71795,&quot;y&quot;:-2.94872,&quot;z&quot;:0.151185},{&quot;x&quot;:3.71795,&quot;y&quot;:-2.69231,&quot;z&quot;:0.209122},{&quot;x&quot;:3.71795,&quot;y&quot;:-2.4359,&quot;z&quot;:0.221612},{&quot;x&quot;:3.71795,&quot;y&quot;:-2.17949,&quot;z&quot;:0.19178},{&quot;x&quot;:3.71795,&quot;y&quot;:-1.92308,&quot;z&quot;:0.131696},{&quot;x&quot;:3.71795,&quot;y&quot;:-1.66667,&quot;z&quot;:0.0568624},{&quot;x&quot;:3.71795,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.0186075},{&quot;x&quot;:3.71795,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.0848255},{&quot;x&quot;:3.71795,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.136802},{&quot;x&quot;:3.71795,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.173525},{&quot;x&quot;:3.71795,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.196294},{&quot;x&quot;:3.71795,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.207033},{&quot;x&quot;:3.71795,&quot;y&quot;:0.128205,&quot;z&quot;:-0.207033},{&quot;x&quot;:3.71795,&quot;y&quot;:0.384615,&quot;z&quot;:-0.196294},{&quot;x&quot;:3.71795,&quot;y&quot;:0.641026,&quot;z&quot;:-0.173525},{&quot;x&quot;:3.71795,&quot;y&quot;:0.897436,&quot;z&quot;:-0.136802},{&quot;x&quot;:3.71795,&quot;y&quot;:1.15385,&quot;z&quot;:-0.0848255},{&quot;x&quot;:3.71795,&quot;y&quot;:1.41026,&quot;z&quot;:-0.0186075},{&quot;x&quot;:3.71795,&quot;y&quot;:1.66667,&quot;z&quot;:0.0568624},{&quot;x&quot;:3.71795,&quot;y&quot;:1.92308,&quot;z&quot;:0.131696},{&quot;x&quot;:3.71795,&quot;y&quot;:2.17949,&quot;z&quot;:0.19178},{&quot;x&quot;:3.71795,&quot;y&quot;:2.4359,&quot;z&quot;:0.221612},{&quot;x&quot;:3.71795,&quot;y&quot;:2.69231,&quot;z&quot;:0.209122},{&quot;x&quot;:3.71795,&quot;y&quot;:2.94872,&quot;z&quot;:0.151185},{&quot;x&quot;:3.71795,&quot;y&quot;:3.20513,&quot;z&quot;:0.0575929},{&quot;x&quot;:3.71795,&quot;y&quot;:3.46154,&quot;z&quot;:-0.0488962},{&quot;x&quot;:3.71795,&quot;y&quot;:3.71795,&quot;z&quot;:-0.137809},{&quot;x&quot;:3.71795,&quot;y&quot;:3.97436,&quot;z&quot;:-0.180736},{&quot;x&quot;:3.71795,&quot;y&quot;:4.23077,&quot;z&quot;:-0.162437},{&quot;x&quot;:3.71795,&quot;y&quot;:4.48718,&quot;z&quot;:-0.088584},{&quot;x&quot;:3.71795,&quot;y&quot;:4.74359,&quot;z&quot;:0.0140594},{&quot;x&quot;:3.71795,&quot;y&quot;:5,&quot;z&quot;:0.106446},{&quot;x&quot;:3.97436,&quot;y&quot;:-4.74359,&quot;z&quot;:0.0901845},{&quot;x&quot;:3.97436,&quot;y&quot;:-5,&quot;z&quot;:0.146826},{&quot;x&quot;:3.97436,&quot;y&quot;:-4.48718,&quot;z&quot;:-0.0030451},{&quot;x&quot;:3.97436,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.0991757},{&quot;x&quot;:3.97436,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.165301},{&quot;x&quot;:3.97436,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.180736},{&quot;x&quot;:3.97436,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.142506},{&quot;x&quot;:3.97436,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.063861},{&quot;x&quot;:3.97436,&quot;y&quot;:-2.94872,&quot;z&quot;:0.0323727},{&quot;x&quot;:3.97436,&quot;y&quot;:-2.69231,&quot;z&quot;:0.122221},{&quot;x&quot;:3.97436,&quot;y&quot;:-2.4359,&quot;z&quot;:0.187517},{&quot;x&quot;:3.97436,&quot;y&quot;:-2.17949,&quot;z&quot;:0.219452},{&quot;x&quot;:3.97436,&quot;y&quot;:-1.92308,&quot;z&quot;:0.218497},{&quot;x&quot;:3.97436,&quot;y&quot;:-1.66667,&quot;z&quot;:0.19178},{&quot;x&quot;:3.97436,&quot;y&quot;:-1.41026,&quot;z&quot;:0.149508},{&quot;x&quot;:3.97436,&quot;y&quot;:-1.15385,&quot;z&quot;:0.101828},{&quot;x&quot;:3.97436,&quot;y&quot;:-0.897436,&quot;z&quot;:0.0568624},{&quot;x&quot;:3.97436,&quot;y&quot;:-0.641026,&quot;z&quot;:0.0200516},{&quot;x&quot;:3.97436,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.00556527},{&quot;x&quot;:3.97436,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.0186075},{&quot;x&quot;:3.97436,&quot;y&quot;:0.128205,&quot;z&quot;:-0.0186075},{&quot;x&quot;:3.97436,&quot;y&quot;:0.384615,&quot;z&quot;:-0.00556527},{&quot;x&quot;:3.97436,&quot;y&quot;:0.641026,&quot;z&quot;:0.0200516},{&quot;x&quot;:3.97436,&quot;y&quot;:0.897436,&quot;z&quot;:0.0568624},{&quot;x&quot;:3.97436,&quot;y&quot;:1.15385,&quot;z&quot;:0.101828},{&quot;x&quot;:3.97436,&quot;y&quot;:1.41026,&quot;z&quot;:0.149508},{&quot;x&quot;:3.97436,&quot;y&quot;:1.66667,&quot;z&quot;:0.19178},{&quot;x&quot;:3.97436,&quot;y&quot;:1.92308,&quot;z&quot;:0.218497},{&quot;x&quot;:3.97436,&quot;y&quot;:2.17949,&quot;z&quot;:0.219452},{&quot;x&quot;:3.97436,&quot;y&quot;:2.4359,&quot;z&quot;:0.187517},{&quot;x&quot;:3.97436,&quot;y&quot;:2.69231,&quot;z&quot;:0.122221},{&quot;x&quot;:3.97436,&quot;y&quot;:2.94872,&quot;z&quot;:0.0323727},{&quot;x&quot;:3.97436,&quot;y&quot;:3.20513,&quot;z&quot;:-0.063861},{&quot;x&quot;:3.97436,&quot;y&quot;:3.46154,&quot;z&quot;:-0.142506},{&quot;x&quot;:3.97436,&quot;y&quot;:3.71795,&quot;z&quot;:-0.180736},{&quot;x&quot;:3.97436,&quot;y&quot;:3.97436,&quot;z&quot;:-0.165301},{&quot;x&quot;:3.97436,&quot;y&quot;:4.23077,&quot;z&quot;:-0.0991757},{&quot;x&quot;:3.97436,&quot;y&quot;:4.48718,&quot;z&quot;:-0.0030451},{&quot;x&quot;:3.97436,&quot;y&quot;:4.74359,&quot;z&quot;:0.0901845},{&quot;x&quot;:3.97436,&quot;y&quot;:5,&quot;z&quot;:0.146826},{&quot;x&quot;:4.23077,&quot;y&quot;:-4.74359,&quot;z&quot;:0.14154},{&quot;x&quot;:4.23077,&quot;y&quot;:-5,&quot;z&quot;:0.150815},{&quot;x&quot;:4.23077,&quot;y&quot;:-4.48718,&quot;z&quot;:0.0813034},{&quot;x&quot;:4.23077,&quot;y&quot;:-4.23077,&quot;z&quot;:-0.00881116},{&quot;x&quot;:4.23077,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.0991757},{&quot;x&quot;:4.23077,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.162437},{&quot;x&quot;:4.23077,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.181918},{&quot;x&quot;:4.23077,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.155074},{&quot;x&quot;:4.23077,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.0917965},{&quot;x&quot;:4.23077,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.00925029},{&quot;x&quot;:4.23077,&quot;y&quot;:-2.4359,&quot;z&quot;:0.0742643},{&quot;x&quot;:4.23077,&quot;y&quot;:-2.17949,&quot;z&quot;:0.144243},{&quot;x&quot;:4.23077,&quot;y&quot;:-1.92308,&quot;z&quot;:0.192539},{&quot;x&quot;:4.23077,&quot;y&quot;:-1.66667,&quot;z&quot;:0.2175},{&quot;x&quot;:4.23077,&quot;y&quot;:-1.41026,&quot;z&quot;:0.222433},{&quot;x&quot;:4.23077,&quot;y&quot;:-1.15385,&quot;z&quot;:0.213387},{&quot;x&quot;:4.23077,&quot;y&quot;:-0.897436,&quot;z&quot;:0.19711},{&quot;x&quot;:4.23077,&quot;y&quot;:-0.641026,&quot;z&quot;:0.179624},{&quot;x&quot;:4.23077,&quot;y&quot;:-0.384615,&quot;z&quot;:0.165512},{&quot;x&quot;:4.23077,&quot;y&quot;:-0.128205,&quot;z&quot;:0.157742},{&quot;x&quot;:4.23077,&quot;y&quot;:0.128205,&quot;z&quot;:0.157742},{&quot;x&quot;:4.23077,&quot;y&quot;:0.384615,&quot;z&quot;:0.165512},{&quot;x&quot;:4.23077,&quot;y&quot;:0.641026,&quot;z&quot;:0.179624},{&quot;x&quot;:4.23077,&quot;y&quot;:0.897436,&quot;z&quot;:0.19711},{&quot;x&quot;:4.23077,&quot;y&quot;:1.15385,&quot;z&quot;:0.213387},{&quot;x&quot;:4.23077,&quot;y&quot;:1.41026,&quot;z&quot;:0.222433},{&quot;x&quot;:4.23077,&quot;y&quot;:1.66667,&quot;z&quot;:0.2175},{&quot;x&quot;:4.23077,&quot;y&quot;:1.92308,&quot;z&quot;:0.192539},{&quot;x&quot;:4.23077,&quot;y&quot;:2.17949,&quot;z&quot;:0.144243},{&quot;x&quot;:4.23077,&quot;y&quot;:2.4359,&quot;z&quot;:0.0742643},{&quot;x&quot;:4.23077,&quot;y&quot;:2.69231,&quot;z&quot;:-0.00925029},{&quot;x&quot;:4.23077,&quot;y&quot;:2.94872,&quot;z&quot;:-0.0917965},{&quot;x&quot;:4.23077,&quot;y&quot;:3.20513,&quot;z&quot;:-0.155074},{&quot;x&quot;:4.23077,&quot;y&quot;:3.46154,&quot;z&quot;:-0.181918},{&quot;x&quot;:4.23077,&quot;y&quot;:3.71795,&quot;z&quot;:-0.162437},{&quot;x&quot;:4.23077,&quot;y&quot;:3.97436,&quot;z&quot;:-0.0991757},{&quot;x&quot;:4.23077,&quot;y&quot;:4.23077,&quot;z&quot;:-0.00881116},{&quot;x&quot;:4.23077,&quot;y&quot;:4.48718,&quot;z&quot;:0.0813034},{&quot;x&quot;:4.23077,&quot;y&quot;:4.74359,&quot;z&quot;:0.14154},{&quot;x&quot;:4.23077,&quot;y&quot;:5,&quot;z&quot;:0.150815},{&quot;x&quot;:4.48718,&quot;y&quot;:-4.74359,&quot;z&quot;:0.152483},{&quot;x&quot;:4.48718,&quot;y&quot;:-5,&quot;z&quot;:0.115212},{&quot;x&quot;:4.48718,&quot;y&quot;:-4.48718,&quot;z&quot;:0.139459},{&quot;x&quot;:4.48718,&quot;y&quot;:-4.23077,&quot;z&quot;:0.0813034},{&quot;x&quot;:4.48718,&quot;y&quot;:-3.97436,&quot;z&quot;:-0.0030451},{&quot;x&quot;:4.48718,&quot;y&quot;:-3.71795,&quot;z&quot;:-0.088584},{&quot;x&quot;:4.48718,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.152669},{&quot;x&quot;:4.48718,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.181163},{&quot;x&quot;:4.48718,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.17077},{&quot;x&quot;:4.48718,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.127679},{&quot;x&quot;:4.48718,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.063861},{&quot;x&quot;:4.48718,&quot;y&quot;:-2.17949,&quot;z&quot;:0.00725264},{&quot;x&quot;:4.48718,&quot;y&quot;:-1.92308,&quot;z&quot;:0.0742643},{&quot;x&quot;:4.48718,&quot;y&quot;:-1.66667,&quot;z&quot;:0.129745},{&quot;x&quot;:4.48718,&quot;y&quot;:-1.41026,&quot;z&quot;:0.170587},{&quot;x&quot;:4.48718,&quot;y&quot;:-1.15385,&quot;z&quot;:0.197224},{&quot;x&quot;:4.48718,&quot;y&quot;:-0.897436,&quot;z&quot;:0.212323},{&quot;x&quot;:4.48718,&quot;y&quot;:-0.641026,&quot;z&quot;:0.219452},{&quot;x&quot;:4.48718,&quot;y&quot;:-0.384615,&quot;z&quot;:0.222029},{&quot;x&quot;:4.48718,&quot;y&quot;:-0.128205,&quot;z&quot;:0.222633},{&quot;x&quot;:4.48718,&quot;y&quot;:0.128205,&quot;z&quot;:0.222633},{&quot;x&quot;:4.48718,&quot;y&quot;:0.384615,&quot;z&quot;:0.222029},{&quot;x&quot;:4.48718,&quot;y&quot;:0.641026,&quot;z&quot;:0.219452},{&quot;x&quot;:4.48718,&quot;y&quot;:0.897436,&quot;z&quot;:0.212323},{&quot;x&quot;:4.48718,&quot;y&quot;:1.15385,&quot;z&quot;:0.197224},{&quot;x&quot;:4.48718,&quot;y&quot;:1.41026,&quot;z&quot;:0.170587},{&quot;x&quot;:4.48718,&quot;y&quot;:1.66667,&quot;z&quot;:0.129745},{&quot;x&quot;:4.48718,&quot;y&quot;:1.92308,&quot;z&quot;:0.0742643},{&quot;x&quot;:4.48718,&quot;y&quot;:2.17949,&quot;z&quot;:0.00725264},{&quot;x&quot;:4.48718,&quot;y&quot;:2.4359,&quot;z&quot;:-0.063861},{&quot;x&quot;:4.48718,&quot;y&quot;:2.69231,&quot;z&quot;:-0.127679},{&quot;x&quot;:4.48718,&quot;y&quot;:2.94872,&quot;z&quot;:-0.17077},{&quot;x&quot;:4.48718,&quot;y&quot;:3.20513,&quot;z&quot;:-0.181163},{&quot;x&quot;:4.48718,&quot;y&quot;:3.46154,&quot;z&quot;:-0.152669},{&quot;x&quot;:4.48718,&quot;y&quot;:3.71795,&quot;z&quot;:-0.088584},{&quot;x&quot;:4.48718,&quot;y&quot;:3.97436,&quot;z&quot;:-0.0030451},{&quot;x&quot;:4.48718,&quot;y&quot;:4.23077,&quot;z&quot;:0.0813034},{&quot;x&quot;:4.48718,&quot;y&quot;:4.48718,&quot;z&quot;:0.139459},{&quot;x&quot;:4.48718,&quot;y&quot;:4.74359,&quot;z&quot;:0.152483},{&quot;x&quot;:4.48718,&quot;y&quot;:5,&quot;z&quot;:0.115212},{&quot;x&quot;:4.74359,&quot;y&quot;:-4.74359,&quot;z&quot;:0.118229},{&quot;x&quot;:4.74359,&quot;y&quot;:-5,&quot;z&quot;:0.048228},{&quot;x&quot;:4.74359,&quot;y&quot;:-4.48718,&quot;z&quot;:0.152483},{&quot;x&quot;:4.74359,&quot;y&quot;:-4.23077,&quot;z&quot;:0.14154},{&quot;x&quot;:4.74359,&quot;y&quot;:-3.97436,&quot;z&quot;:0.0901845},{&quot;x&quot;:4.74359,&quot;y&quot;:-3.71795,&quot;z&quot;:0.0140594},{&quot;x&quot;:4.74359,&quot;y&quot;:-3.46154,&quot;z&quot;:-0.0665003},{&quot;x&quot;:4.74359,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.13286},{&quot;x&quot;:4.74359,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.172635},{&quot;x&quot;:4.74359,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.181459},{&quot;x&quot;:4.74359,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.162151},{&quot;x&quot;:4.74359,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.122256},{&quot;x&quot;:4.74359,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.0711086},{&quot;x&quot;:4.74359,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.0173885},{&quot;x&quot;:4.74359,&quot;y&quot;:-1.41026,&quot;z&quot;:0.0323727},{&quot;x&quot;:4.74359,&quot;y&quot;:-1.15385,&quot;z&quot;:0.0742643},{&quot;x&quot;:4.74359,&quot;y&quot;:-0.897436,&quot;z&quot;:0.106706},{&quot;x&quot;:4.74359,&quot;y&quot;:-0.641026,&quot;z&quot;:0.129745},{&quot;x&quot;:4.74359,&quot;y&quot;:-0.384615,&quot;z&quot;:0.144243},{&quot;x&quot;:4.74359,&quot;y&quot;:-0.128205,&quot;z&quot;:0.151185},{&quot;x&quot;:4.74359,&quot;y&quot;:0.128205,&quot;z&quot;:0.151185},{&quot;x&quot;:4.74359,&quot;y&quot;:0.384615,&quot;z&quot;:0.144243},{&quot;x&quot;:4.74359,&quot;y&quot;:0.641026,&quot;z&quot;:0.129745},{&quot;x&quot;:4.74359,&quot;y&quot;:0.897436,&quot;z&quot;:0.106706},{&quot;x&quot;:4.74359,&quot;y&quot;:1.15385,&quot;z&quot;:0.0742643},{&quot;x&quot;:4.74359,&quot;y&quot;:1.41026,&quot;z&quot;:0.0323727},{&quot;x&quot;:4.74359,&quot;y&quot;:1.66667,&quot;z&quot;:-0.0173885},{&quot;x&quot;:4.74359,&quot;y&quot;:1.92308,&quot;z&quot;:-0.0711086},{&quot;x&quot;:4.74359,&quot;y&quot;:2.17949,&quot;z&quot;:-0.122256},{&quot;x&quot;:4.74359,&quot;y&quot;:2.4359,&quot;z&quot;:-0.162151},{&quot;x&quot;:4.74359,&quot;y&quot;:2.69231,&quot;z&quot;:-0.181459},{&quot;x&quot;:4.74359,&quot;y&quot;:2.94872,&quot;z&quot;:-0.172635},{&quot;x&quot;:4.74359,&quot;y&quot;:3.20513,&quot;z&quot;:-0.13286},{&quot;x&quot;:4.74359,&quot;y&quot;:3.46154,&quot;z&quot;:-0.0665003},{&quot;x&quot;:4.74359,&quot;y&quot;:3.71795,&quot;z&quot;:0.0140594},{&quot;x&quot;:4.74359,&quot;y&quot;:3.97436,&quot;z&quot;:0.0901845},{&quot;x&quot;:4.74359,&quot;y&quot;:4.23077,&quot;z&quot;:0.14154},{&quot;x&quot;:4.74359,&quot;y&quot;:4.48718,&quot;z&quot;:0.152483},{&quot;x&quot;:4.74359,&quot;y&quot;:4.74359,&quot;z&quot;:0.118229},{&quot;x&quot;:4.74359,&quot;y&quot;:5,&quot;z&quot;:0.048228},{&quot;x&quot;:5,&quot;y&quot;:-4.74359,&quot;z&quot;:0.048228},{&quot;x&quot;:5,&quot;y&quot;:-5,&quot;z&quot;:-0.0313129},{&quot;x&quot;:5,&quot;y&quot;:-4.48718,&quot;z&quot;:0.115212},{&quot;x&quot;:5,&quot;y&quot;:-4.23077,&quot;z&quot;:0.150815},{&quot;x&quot;:5,&quot;y&quot;:-3.97436,&quot;z&quot;:0.146826},{&quot;x&quot;:5,&quot;y&quot;:-3.71795,&quot;z&quot;:0.106446},{&quot;x&quot;:5,&quot;y&quot;:-3.46154,&quot;z&quot;:0.0415459},{&quot;x&quot;:5,&quot;y&quot;:-3.20513,&quot;z&quot;:-0.0320207},{&quot;x&quot;:5,&quot;y&quot;:-2.94872,&quot;z&quot;:-0.0991757},{&quot;x&quot;:5,&quot;y&quot;:-2.69231,&quot;z&quot;:-0.149042},{&quot;x&quot;:5,&quot;y&quot;:-2.4359,&quot;z&quot;:-0.17642},{&quot;x&quot;:5,&quot;y&quot;:-2.17949,&quot;z&quot;:-0.181459},{&quot;x&quot;:5,&quot;y&quot;:-1.92308,&quot;z&quot;:-0.168165},{&quot;x&quot;:5,&quot;y&quot;:-1.66667,&quot;z&quot;:-0.142506},{&quot;x&quot;:5,&quot;y&quot;:-1.41026,&quot;z&quot;:-0.110721},{&quot;x&quot;:5,&quot;y&quot;:-1.15385,&quot;z&quot;:-0.0781865},{&quot;x&quot;:5,&quot;y&quot;:-0.897436,&quot;z&quot;:-0.0488962},{&quot;x&quot;:5,&quot;y&quot;:-0.641026,&quot;z&quot;:-0.0254343},{&quot;x&quot;:5,&quot;y&quot;:-0.384615,&quot;z&quot;:-0.00925029},{&quot;x&quot;:5,&quot;y&quot;:-0.128205,&quot;z&quot;:-0.00103223},{&quot;x&quot;:5,&quot;y&quot;:0.128205,&quot;z&quot;:-0.00103223},{&quot;x&quot;:5,&quot;y&quot;:0.384615,&quot;z&quot;:-0.00925029},{&quot;x&quot;:5,&quot;y&quot;:0.641026,&quot;z&quot;:-0.0254343},{&quot;x&quot;:5,&quot;y&quot;:0.897436,&quot;z&quot;:-0.0488962},{&quot;x&quot;:5,&quot;y&quot;:1.15385,&quot;z&quot;:-0.0781865},{&quot;x&quot;:5,&quot;y&quot;:1.41026,&quot;z&quot;:-0.110721},{&quot;x&quot;:5,&quot;y&quot;:1.66667,&quot;z&quot;:-0.142506},{&quot;x&quot;:5,&quot;y&quot;:1.92308,&quot;z&quot;:-0.168165},{&quot;x&quot;:5,&quot;y&quot;:2.17949,&quot;z&quot;:-0.181459},{&quot;x&quot;:5,&quot;y&quot;:2.4359,&quot;z&quot;:-0.17642},{&quot;x&quot;:5,&quot;y&quot;:2.69231,&quot;z&quot;:-0.149042},{&quot;x&quot;:5,&quot;y&quot;:2.94872,&quot;z&quot;:-0.0991757},{&quot;x&quot;:5,&quot;y&quot;:3.20513,&quot;z&quot;:-0.0320207},{&quot;x&quot;:5,&quot;y&quot;:3.46154,&quot;z&quot;:0.0415459},{&quot;x&quot;:5,&quot;y&quot;:3.71795,&quot;z&quot;:0.106446},{&quot;x&quot;:5,&quot;y&quot;:3.97436,&quot;z&quot;:0.146826},{&quot;x&quot;:5,&quot;y&quot;:4.23077,&quot;z&quot;:0.150815},{&quot;x&quot;:5,&quot;y&quot;:4.48718,&quot;z&quot;:0.115212},{&quot;x&quot;:5,&quot;y&quot;:4.74359,&quot;z&quot;:0.048228},{&quot;x&quot;:5,&quot;y&quot;:5,&quot;z&quot;:-0.0313129}], &quot;faces&quot;:[[0,1,2,3],[1,4,5,2],[4,6,7,5],[6,8,9,7],[8,10,11,9],[10,12,13,11],[12,14,15,13],[14,16,17,15],[16,18,19,17],[18,20,21,19],[20,22,23,21],[22,24,25,23],[24,26,27,25],[26,28,29,27],[28,30,31,29],[30,32,33,31],[32,34,35,33],[34,36,37,35],[36,38,39,37],[38,40,41,39],[40,42,43,41],[42,44,45,43],[44,46,47,45],[46,48,49,47],[48,50,51,49],[50,52,53,51],[52,54,55,53],[54,56,57,55],[56,58,59,57],[58,60,61,59],[60,62,63,61],[62,64,65,63],[64,66,67,65],[66,68,69,67],[68,70,71,69],[70,72,73,71],[72,74,75,73],[74,76,77,75],[76,78,79,77],[3,2,80,81],[2,5,82,80],[5,7,83,82],[7,9,84,83],[9,11,85,84],[11,13,86,85],[13,15,87,86],[15,17,88,87],[17,19,89,88],[19,21,90,89],[21,23,91,90],[23,25,92,91],[25,27,93,92],[27,29,94,93],[29,31,95,94],[31,33,96,95],[33,35,97,96],[35,37,98,97],[37,39,99,98],[39,41,100,99],[41,43,101,100],[43,45,102,101],[45,47,103,102],[47,49,104,103],[49,51,105,104],[51,53,106,105],[53,55,107,106],[55,57,108,107],[57,59,109,108],[59,61,110,109],[61,63,111,110],[63,65,112,111],[65,67,113,112],[67,69,114,113],[69,71,115,114],[71,73,116,115],[73,75,117,116],[75,77,118,117],[77,79,119,118],[81,80,120,121],[80,82,122,120],[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],[121,120,160,161],[120,122,162,160],[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],[161,160,200,201],[160,162,202,200],[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],[201,200,240,241],[200,202,242,240],[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],[241,240,280,281],[240,242,282,280],[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],[281,280,320,321],[280,282,322,320],[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],[321,320,360,361],[320,322,362,360],[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],[361,360,400,401],[360,362,402,400],[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],[401,400,440,441],[400,402,442,440],[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],[441,440,480,481],[440,442,482,480],[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],[481,480,520,521],[480,482,522,520],[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],[521,520,560,561],[520,522,562,560],[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],[561,560,600,601],[560,562,602,600],[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],[601,600,640,641],[600,602,642,640],[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],[641,640,680,681],[640,642,682,680],[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],[681,680,720,721],[680,682,722,720],[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],[721,720,760,761],[720,722,762,760],[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],[761,760,800,801],[760,762,802,800],[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],[801,800,840,841],[800,802,842,840],[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],[841,840,880,881],[840,842,882,880],[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],[881,880,920,921],[880,882,922,920],[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],[921,920,960,961],[920,922,962,960],[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],[961,960,1000,1001],[960,962,1002,1000],[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],[1001,1000,1040,1041],[1000,1002,1042,1040],[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],[1041,1040,1080,1081],[1040,1042,1082,1080],[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],[1081,1080,1120,1121],[1080,1082,1122,1120],[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],[1121,1120,1160,1161],[1120,1122,1162,1160],[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],[1161,1160,1200,1201],[1160,1162,1202,1200],[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],[1201,1200,1240,1241],[1200,1202,1242,1240],[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],[1241,1240,1280,1281],[1240,1242,1282,1280],[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],[1281,1280,1320,1321],[1280,1282,1322,1320],[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],[1321,1320,1360,1361],[1320,1322,1362,1360],[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],[1361,1360,1400,1401],[1360,1362,1402,1400],[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],[1401,1400,1440,1441],[1400,1402,1442,1440],[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],[1441,1440,1480,1481],[1440,1442,1482,1480],[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],[1481,1480,1520,1521],[1480,1482,1522,1520],[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],[1521,1520,1560,1561],[1520,1522,1562,1560],[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;#6666ff&quot;, &quot;opacity&quot;:1.0}];\n",
       "    for ( var i=0 ; i < surfaces.length ; i++ ) {\n",
       "        if ( surfaces[i].hasOwnProperty('face_colors') )\n",
       "        {\n",
       "            addSurfaceWithColors( surfaces[i] )\n",
       "        }\n",
       "        else\n",
       "        {\n",
       "            addSurface( surfaces[i] )\n",
       "        }\n",
       "    }\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",
       "    function addSurfaceWithColors( 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",
       "                var tri = new THREE.Face3( f[0], f[j+1], f[j+2] )\n",
       "                tri.color.set(json.face_colors[i])\n",
       "                geometry.faces.push( tri );\n",
       "            }\n",
       "        }\n",
       "        geometry.computeVertexNormals();\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var material = new THREE.MeshPhongMaterial( {\n",
       "            vertexColors: THREE.FaceColors,\n",
       "            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",
       "\"\n",
       "        width=\"100%\"\n",
       "        height=\"400\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "var('x,y')\n",
    "plot3d(sin(pi*sqrt(x^2+y^2)) / sqrt(x^2+y^2), (x,-5,5), (y,-5,5), viewer=\"threejs\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "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;:-4.61803398875, &quot;y&quot;:-4.61803398875, &quot;z&quot;:-4.61803398875}, {&quot;x&quot;:4.61803398875, &quot;y&quot;:4.61803398875, &quot;z&quot;:4.61803398875}]; // 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 = [{&quot;point&quot;:[0.6180339887498949, 2.618033988749895, 3.8541019662496847], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-0.6180339887498949, 2.618033988749895, 3.8541019662496847], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[0.6180339887498949, 4.618033988749895, 0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-0.6180339887498949, 4.618033988749895, 0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[0.6180339887498949, -2.618033988749895, 3.8541019662496847], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-0.6180339887498949, -2.618033988749895, 3.8541019662496847], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[0.6180339887498949, -4.618033988749895, 0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-0.6180339887498949, -4.618033988749895, 0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[0.6180339887498949, 2.618033988749895, -3.8541019662496847], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-0.6180339887498949, 2.618033988749895, -3.8541019662496847], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[0.6180339887498949, 4.618033988749895, -0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-0.6180339887498949, 4.618033988749895, -0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[0.6180339887498949, -2.618033988749895, -3.8541019662496847], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-0.6180339887498949, -2.618033988749895, -3.8541019662496847], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[0.6180339887498949, -4.618033988749895, -0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-0.6180339887498949, -4.618033988749895, -0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[1.618033988749895, 4.23606797749979, 1.2360679774997898], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[1.618033988749895, -4.23606797749979, 1.2360679774997898], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-1.618033988749895, 4.23606797749979, 1.2360679774997898], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-1.618033988749895, -4.23606797749979, 1.2360679774997898], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[1.618033988749895, 4.23606797749979, -1.2360679774997898], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[1.618033988749895, -4.23606797749979, -1.2360679774997898], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-1.618033988749895, 4.23606797749979, -1.2360679774997898], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-1.618033988749895, -4.23606797749979, -1.2360679774997898], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[2.618033988749895, 3.8541019662496847, 0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[2.618033988749895, 3.8541019662496847, -0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[4.618033988749895, 0.6180339887498949, 0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[4.618033988749895, 0.6180339887498949, -0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-2.618033988749895, 3.8541019662496847, 0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-2.618033988749895, 3.8541019662496847, -0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-4.618033988749895, 0.6180339887498949, 0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-4.618033988749895, 0.6180339887498949, -0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[2.618033988749895, -3.8541019662496847, 0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[2.618033988749895, -3.8541019662496847, -0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[4.618033988749895, -0.6180339887498949, 0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[4.618033988749895, -0.6180339887498949, -0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-2.618033988749895, -3.8541019662496847, 0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-2.618033988749895, -3.8541019662496847, -0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-4.618033988749895, -0.6180339887498949, 0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-4.618033988749895, -0.6180339887498949, -0.6180339887498949], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[1.618033988749895, 3.0, 3.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[2.0, 3.618033988749895, 2.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.0, 3.23606797749979, 1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[4.23606797749979, 1.2360679774997898, 1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.618033988749895, 2.23606797749979, 2.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-1.618033988749895, 3.0, 3.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-2.0, 3.618033988749895, 2.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.0, 3.23606797749979, 1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-4.23606797749979, 1.2360679774997898, 1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.618033988749895, 2.23606797749979, 2.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[1.618033988749895, 3.0, -3.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[2.0, 3.618033988749895, -2.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.0, 3.23606797749979, -1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[4.23606797749979, 1.2360679774997898, -1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.618033988749895, 2.23606797749979, -2.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-1.618033988749895, 3.0, -3.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-2.0, 3.618033988749895, -2.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.0, 3.23606797749979, -1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-4.23606797749979, 1.2360679774997898, -1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.618033988749895, 2.23606797749979, -2.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[1.618033988749895, -3.0, 3.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[2.0, -3.618033988749895, 2.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.0, -3.23606797749979, 1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[4.23606797749979, -1.2360679774997898, 1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.618033988749895, -2.23606797749979, 2.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[0.6180339887498949, 0.6180339887498949, 4.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[0.6180339887498949, -0.6180339887498949, 4.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[1.2360679774997898, 1.618033988749895, 4.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[1.2360679774997898, -1.618033988749895, 4.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[2.23606797749979, 2.0, 3.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.8541019662496847, 0.6180339887498949, 2.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.23606797749979, 1.618033988749895, 3.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[2.23606797749979, -2.0, 3.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.8541019662496847, -0.6180339887498949, 2.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.23606797749979, -1.618033988749895, 3.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-1.618033988749895, -3.0, 3.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-2.0, -3.618033988749895, 2.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.0, -3.23606797749979, 1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-4.23606797749979, -1.2360679774997898, 1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.618033988749895, -2.23606797749979, 2.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-1.2360679774997898, 1.618033988749895, 4.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-1.2360679774997898, -1.618033988749895, 4.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-2.23606797749979, 2.0, 3.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.8541019662496847, 0.6180339887498949, 2.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.23606797749979, 1.618033988749895, 3.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-0.6180339887498949, 0.6180339887498949, 4.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-0.6180339887498949, -0.6180339887498949, 4.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-2.23606797749979, -2.0, 3.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.8541019662496847, -0.6180339887498949, 2.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.23606797749979, -1.618033988749895, 3.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[1.618033988749895, -3.0, -3.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[2.0, -3.618033988749895, -2.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.0, -3.23606797749979, -1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[4.23606797749979, -1.2360679774997898, -1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.618033988749895, -2.23606797749979, -2.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[0.6180339887498949, 0.6180339887498949, -4.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[0.6180339887498949, -0.6180339887498949, -4.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[1.2360679774997898, 1.618033988749895, -4.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[1.2360679774997898, -1.618033988749895, -4.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[2.23606797749979, 2.0, -3.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.8541019662496847, 0.6180339887498949, -2.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.23606797749979, 1.618033988749895, -3.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[2.23606797749979, -2.0, -3.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.8541019662496847, -0.6180339887498949, -2.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[3.23606797749979, -1.618033988749895, -3.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-1.618033988749895, -3.0, -3.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-2.0, -3.618033988749895, -2.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.0, -3.23606797749979, -1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-4.23606797749979, -1.2360679774997898, -1.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.618033988749895, -2.23606797749979, -2.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-1.2360679774997898, 1.618033988749895, -4.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-1.2360679774997898, -1.618033988749895, -4.23606797749979], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-2.23606797749979, 2.0, -3.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.8541019662496847, 0.6180339887498949, -2.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.23606797749979, 1.618033988749895, -3.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-0.6180339887498949, 0.6180339887498949, -4.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-0.6180339887498949, -0.6180339887498949, -4.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-2.23606797749979, -2.0, -3.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.8541019662496847, -0.6180339887498949, -2.618033988749895], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0},{&quot;point&quot;:[-3.23606797749979, -1.618033988749895, -3.0], &quot;size&quot;:5, &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0}];\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 = [{&quot;points&quot;:[[0.6180339887498949, 2.618033988749895, 3.8541019662496847], [-0.6180339887498949, 2.618033988749895, 3.8541019662496847]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 2.618033988749895, 3.8541019662496847], [1.618033988749895, 3.0, 3.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 2.618033988749895, 3.8541019662496847], [1.2360679774997898, 1.618033988749895, 4.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, 2.618033988749895, 3.8541019662496847], [-1.618033988749895, 3.0, 3.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, 2.618033988749895, 3.8541019662496847], [-1.2360679774997898, 1.618033988749895, 4.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 4.618033988749895, 0.6180339887498949], [-0.6180339887498949, 4.618033988749895, 0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 4.618033988749895, 0.6180339887498949], [0.6180339887498949, 4.618033988749895, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 4.618033988749895, 0.6180339887498949], [1.618033988749895, 4.23606797749979, 1.2360679774997898]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, 4.618033988749895, 0.6180339887498949], [-0.6180339887498949, 4.618033988749895, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, 4.618033988749895, 0.6180339887498949], [-1.618033988749895, 4.23606797749979, 1.2360679774997898]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -2.618033988749895, 3.8541019662496847], [-0.6180339887498949, -2.618033988749895, 3.8541019662496847]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -2.618033988749895, 3.8541019662496847], [1.618033988749895, -3.0, 3.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -2.618033988749895, 3.8541019662496847], [1.2360679774997898, -1.618033988749895, 4.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, -2.618033988749895, 3.8541019662496847], [-1.618033988749895, -3.0, 3.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, -2.618033988749895, 3.8541019662496847], [-1.2360679774997898, -1.618033988749895, 4.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -4.618033988749895, 0.6180339887498949], [-0.6180339887498949, -4.618033988749895, 0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -4.618033988749895, 0.6180339887498949], [0.6180339887498949, -4.618033988749895, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -4.618033988749895, 0.6180339887498949], [1.618033988749895, -4.23606797749979, 1.2360679774997898]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, -4.618033988749895, 0.6180339887498949], [-0.6180339887498949, -4.618033988749895, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, -4.618033988749895, 0.6180339887498949], [-1.618033988749895, -4.23606797749979, 1.2360679774997898]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 2.618033988749895, -3.8541019662496847], [-0.6180339887498949, 2.618033988749895, -3.8541019662496847]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 2.618033988749895, -3.8541019662496847], [1.618033988749895, 3.0, -3.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 2.618033988749895, -3.8541019662496847], [1.2360679774997898, 1.618033988749895, -4.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, 2.618033988749895, -3.8541019662496847], [-1.618033988749895, 3.0, -3.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, 2.618033988749895, -3.8541019662496847], [-1.2360679774997898, 1.618033988749895, -4.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 4.618033988749895, -0.6180339887498949], [-0.6180339887498949, 4.618033988749895, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 4.618033988749895, -0.6180339887498949], [1.618033988749895, 4.23606797749979, -1.2360679774997898]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, 4.618033988749895, -0.6180339887498949], [-1.618033988749895, 4.23606797749979, -1.2360679774997898]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -2.618033988749895, -3.8541019662496847], [-0.6180339887498949, -2.618033988749895, -3.8541019662496847]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -2.618033988749895, -3.8541019662496847], [1.618033988749895, -3.0, -3.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -2.618033988749895, -3.8541019662496847], [1.2360679774997898, -1.618033988749895, -4.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, -2.618033988749895, -3.8541019662496847], [-1.618033988749895, -3.0, -3.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, -2.618033988749895, -3.8541019662496847], [-1.2360679774997898, -1.618033988749895, -4.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -4.618033988749895, -0.6180339887498949], [-0.6180339887498949, -4.618033988749895, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -4.618033988749895, -0.6180339887498949], [1.618033988749895, -4.23606797749979, -1.2360679774997898]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, -4.618033988749895, -0.6180339887498949], [-1.618033988749895, -4.23606797749979, -1.2360679774997898]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, 4.23606797749979, 1.2360679774997898], [2.618033988749895, 3.8541019662496847, 0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, 4.23606797749979, 1.2360679774997898], [2.0, 3.618033988749895, 2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, -4.23606797749979, 1.2360679774997898], [2.618033988749895, -3.8541019662496847, 0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, -4.23606797749979, 1.2360679774997898], [2.0, -3.618033988749895, 2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, 4.23606797749979, 1.2360679774997898], [-2.618033988749895, 3.8541019662496847, 0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, 4.23606797749979, 1.2360679774997898], [-2.0, 3.618033988749895, 2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, -4.23606797749979, 1.2360679774997898], [-2.618033988749895, -3.8541019662496847, 0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, -4.23606797749979, 1.2360679774997898], [-2.0, -3.618033988749895, 2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, 4.23606797749979, -1.2360679774997898], [2.618033988749895, 3.8541019662496847, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, 4.23606797749979, -1.2360679774997898], [2.0, 3.618033988749895, -2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, -4.23606797749979, -1.2360679774997898], [2.618033988749895, -3.8541019662496847, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, -4.23606797749979, -1.2360679774997898], [2.0, -3.618033988749895, -2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, 4.23606797749979, -1.2360679774997898], [-2.618033988749895, 3.8541019662496847, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, 4.23606797749979, -1.2360679774997898], [-2.0, 3.618033988749895, -2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, -4.23606797749979, -1.2360679774997898], [-2.618033988749895, -3.8541019662496847, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, -4.23606797749979, -1.2360679774997898], [-2.0, -3.618033988749895, -2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.618033988749895, 3.8541019662496847, 0.6180339887498949], [2.618033988749895, 3.8541019662496847, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.618033988749895, 3.8541019662496847, 0.6180339887498949], [3.0, 3.23606797749979, 1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.618033988749895, 3.8541019662496847, -0.6180339887498949], [3.0, 3.23606797749979, -1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.618033988749895, 0.6180339887498949, 0.6180339887498949], [4.618033988749895, 0.6180339887498949, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.618033988749895, 0.6180339887498949, 0.6180339887498949], [4.618033988749895, -0.6180339887498949, 0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.618033988749895, 0.6180339887498949, 0.6180339887498949], [4.23606797749979, 1.2360679774997898, 1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.618033988749895, 0.6180339887498949, -0.6180339887498949], [4.618033988749895, -0.6180339887498949, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.618033988749895, 0.6180339887498949, -0.6180339887498949], [4.23606797749979, 1.2360679774997898, -1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.618033988749895, 3.8541019662496847, 0.6180339887498949], [-2.618033988749895, 3.8541019662496847, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.618033988749895, 3.8541019662496847, 0.6180339887498949], [-3.0, 3.23606797749979, 1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.618033988749895, 3.8541019662496847, -0.6180339887498949], [-3.0, 3.23606797749979, -1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.618033988749895, 0.6180339887498949, 0.6180339887498949], [-4.618033988749895, 0.6180339887498949, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.618033988749895, 0.6180339887498949, 0.6180339887498949], [-4.618033988749895, -0.6180339887498949, 0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.618033988749895, 0.6180339887498949, 0.6180339887498949], [-4.23606797749979, 1.2360679774997898, 1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.618033988749895, 0.6180339887498949, -0.6180339887498949], [-4.618033988749895, -0.6180339887498949, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.618033988749895, 0.6180339887498949, -0.6180339887498949], [-4.23606797749979, 1.2360679774997898, -1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.618033988749895, -3.8541019662496847, 0.6180339887498949], [2.618033988749895, -3.8541019662496847, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.618033988749895, -3.8541019662496847, 0.6180339887498949], [3.0, -3.23606797749979, 1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.618033988749895, -3.8541019662496847, -0.6180339887498949], [3.0, -3.23606797749979, -1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.618033988749895, -0.6180339887498949, 0.6180339887498949], [4.618033988749895, -0.6180339887498949, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.618033988749895, -0.6180339887498949, 0.6180339887498949], [4.23606797749979, -1.2360679774997898, 1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.618033988749895, -0.6180339887498949, -0.6180339887498949], [4.23606797749979, -1.2360679774997898, -1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.618033988749895, -3.8541019662496847, 0.6180339887498949], [-2.618033988749895, -3.8541019662496847, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.618033988749895, -3.8541019662496847, 0.6180339887498949], [-3.0, -3.23606797749979, 1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.618033988749895, -3.8541019662496847, -0.6180339887498949], [-3.0, -3.23606797749979, -1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.618033988749895, -0.6180339887498949, 0.6180339887498949], [-4.618033988749895, -0.6180339887498949, -0.6180339887498949]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.618033988749895, -0.6180339887498949, 0.6180339887498949], [-4.23606797749979, -1.2360679774997898, 1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.618033988749895, -0.6180339887498949, -0.6180339887498949], [-4.23606797749979, -1.2360679774997898, -1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, 3.0, 3.23606797749979], [2.0, 3.618033988749895, 2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, 3.0, 3.23606797749979], [2.23606797749979, 2.0, 3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.0, 3.618033988749895, 2.23606797749979], [3.0, 3.23606797749979, 1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.0, 3.23606797749979, 1.618033988749895], [3.618033988749895, 2.23606797749979, 2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.23606797749979, 1.2360679774997898, 1.618033988749895], [3.618033988749895, 2.23606797749979, 2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.23606797749979, 1.2360679774997898, 1.618033988749895], [3.8541019662496847, 0.6180339887498949, 2.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.618033988749895, 2.23606797749979, 2.0], [3.23606797749979, 1.618033988749895, 3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, 3.0, 3.23606797749979], [-2.0, 3.618033988749895, 2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, 3.0, 3.23606797749979], [-2.23606797749979, 2.0, 3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.0, 3.618033988749895, 2.23606797749979], [-3.0, 3.23606797749979, 1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.0, 3.23606797749979, 1.618033988749895], [-3.618033988749895, 2.23606797749979, 2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.23606797749979, 1.2360679774997898, 1.618033988749895], [-3.618033988749895, 2.23606797749979, 2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.23606797749979, 1.2360679774997898, 1.618033988749895], [-3.8541019662496847, 0.6180339887498949, 2.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.618033988749895, 2.23606797749979, 2.0], [-3.23606797749979, 1.618033988749895, 3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, 3.0, -3.23606797749979], [2.0, 3.618033988749895, -2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, 3.0, -3.23606797749979], [2.23606797749979, 2.0, -3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.0, 3.618033988749895, -2.23606797749979], [3.0, 3.23606797749979, -1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.0, 3.23606797749979, -1.618033988749895], [3.618033988749895, 2.23606797749979, -2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.23606797749979, 1.2360679774997898, -1.618033988749895], [3.618033988749895, 2.23606797749979, -2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.23606797749979, 1.2360679774997898, -1.618033988749895], [3.8541019662496847, 0.6180339887498949, -2.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.618033988749895, 2.23606797749979, -2.0], [3.23606797749979, 1.618033988749895, -3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, 3.0, -3.23606797749979], [-2.0, 3.618033988749895, -2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, 3.0, -3.23606797749979], [-2.23606797749979, 2.0, -3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.0, 3.618033988749895, -2.23606797749979], [-3.0, 3.23606797749979, -1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.0, 3.23606797749979, -1.618033988749895], [-3.618033988749895, 2.23606797749979, -2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.23606797749979, 1.2360679774997898, -1.618033988749895], [-3.618033988749895, 2.23606797749979, -2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.23606797749979, 1.2360679774997898, -1.618033988749895], [-3.8541019662496847, 0.6180339887498949, -2.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.618033988749895, 2.23606797749979, -2.0], [-3.23606797749979, 1.618033988749895, -3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, -3.0, 3.23606797749979], [2.0, -3.618033988749895, 2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, -3.0, 3.23606797749979], [2.23606797749979, -2.0, 3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.0, -3.618033988749895, 2.23606797749979], [3.0, -3.23606797749979, 1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.0, -3.23606797749979, 1.618033988749895], [3.618033988749895, -2.23606797749979, 2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.23606797749979, -1.2360679774997898, 1.618033988749895], [3.618033988749895, -2.23606797749979, 2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.23606797749979, -1.2360679774997898, 1.618033988749895], [3.8541019662496847, -0.6180339887498949, 2.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.618033988749895, -2.23606797749979, 2.0], [3.23606797749979, -1.618033988749895, 3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 0.6180339887498949, 4.618033988749895], [0.6180339887498949, -0.6180339887498949, 4.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 0.6180339887498949, 4.618033988749895], [1.2360679774997898, 1.618033988749895, 4.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 0.6180339887498949, 4.618033988749895], [-0.6180339887498949, 0.6180339887498949, 4.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -0.6180339887498949, 4.618033988749895], [1.2360679774997898, -1.618033988749895, 4.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -0.6180339887498949, 4.618033988749895], [-0.6180339887498949, -0.6180339887498949, 4.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.2360679774997898, 1.618033988749895, 4.23606797749979], [2.23606797749979, 2.0, 3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.2360679774997898, -1.618033988749895, 4.23606797749979], [2.23606797749979, -2.0, 3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.23606797749979, 2.0, 3.618033988749895], [3.23606797749979, 1.618033988749895, 3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.8541019662496847, 0.6180339887498949, 2.618033988749895], [3.23606797749979, 1.618033988749895, 3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.8541019662496847, 0.6180339887498949, 2.618033988749895], [3.8541019662496847, -0.6180339887498949, 2.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.23606797749979, -2.0, 3.618033988749895], [3.23606797749979, -1.618033988749895, 3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.8541019662496847, -0.6180339887498949, 2.618033988749895], [3.23606797749979, -1.618033988749895, 3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, -3.0, 3.23606797749979], [-2.0, -3.618033988749895, 2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, -3.0, 3.23606797749979], [-2.23606797749979, -2.0, 3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.0, -3.618033988749895, 2.23606797749979], [-3.0, -3.23606797749979, 1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.0, -3.23606797749979, 1.618033988749895], [-3.618033988749895, -2.23606797749979, 2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.23606797749979, -1.2360679774997898, 1.618033988749895], [-3.618033988749895, -2.23606797749979, 2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.23606797749979, -1.2360679774997898, 1.618033988749895], [-3.8541019662496847, -0.6180339887498949, 2.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.618033988749895, -2.23606797749979, 2.0], [-3.23606797749979, -1.618033988749895, 3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.2360679774997898, 1.618033988749895, 4.23606797749979], [-2.23606797749979, 2.0, 3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.2360679774997898, 1.618033988749895, 4.23606797749979], [-0.6180339887498949, 0.6180339887498949, 4.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.2360679774997898, -1.618033988749895, 4.23606797749979], [-0.6180339887498949, -0.6180339887498949, 4.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.2360679774997898, -1.618033988749895, 4.23606797749979], [-2.23606797749979, -2.0, 3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.23606797749979, 2.0, 3.618033988749895], [-3.23606797749979, 1.618033988749895, 3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.8541019662496847, 0.6180339887498949, 2.618033988749895], [-3.23606797749979, 1.618033988749895, 3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.8541019662496847, 0.6180339887498949, 2.618033988749895], [-3.8541019662496847, -0.6180339887498949, 2.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, 0.6180339887498949, 4.618033988749895], [-0.6180339887498949, -0.6180339887498949, 4.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.23606797749979, -2.0, 3.618033988749895], [-3.23606797749979, -1.618033988749895, 3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.8541019662496847, -0.6180339887498949, 2.618033988749895], [-3.23606797749979, -1.618033988749895, 3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, -3.0, -3.23606797749979], [2.0, -3.618033988749895, -2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.618033988749895, -3.0, -3.23606797749979], [2.23606797749979, -2.0, -3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.0, -3.618033988749895, -2.23606797749979], [3.0, -3.23606797749979, -1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.0, -3.23606797749979, -1.618033988749895], [3.618033988749895, -2.23606797749979, -2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.23606797749979, -1.2360679774997898, -1.618033988749895], [3.618033988749895, -2.23606797749979, -2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[4.23606797749979, -1.2360679774997898, -1.618033988749895], [3.8541019662496847, -0.6180339887498949, -2.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.618033988749895, -2.23606797749979, -2.0], [3.23606797749979, -1.618033988749895, -3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 0.6180339887498949, -4.618033988749895], [0.6180339887498949, -0.6180339887498949, -4.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 0.6180339887498949, -4.618033988749895], [1.2360679774997898, 1.618033988749895, -4.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, 0.6180339887498949, -4.618033988749895], [-0.6180339887498949, 0.6180339887498949, -4.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -0.6180339887498949, -4.618033988749895], [1.2360679774997898, -1.618033988749895, -4.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[0.6180339887498949, -0.6180339887498949, -4.618033988749895], [-0.6180339887498949, -0.6180339887498949, -4.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.2360679774997898, 1.618033988749895, -4.23606797749979], [2.23606797749979, 2.0, -3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[1.2360679774997898, -1.618033988749895, -4.23606797749979], [2.23606797749979, -2.0, -3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.23606797749979, 2.0, -3.618033988749895], [3.23606797749979, 1.618033988749895, -3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.8541019662496847, 0.6180339887498949, -2.618033988749895], [3.23606797749979, 1.618033988749895, -3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.8541019662496847, 0.6180339887498949, -2.618033988749895], [3.8541019662496847, -0.6180339887498949, -2.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[2.23606797749979, -2.0, -3.618033988749895], [3.23606797749979, -1.618033988749895, -3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[3.8541019662496847, -0.6180339887498949, -2.618033988749895], [3.23606797749979, -1.618033988749895, -3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, -3.0, -3.23606797749979], [-2.0, -3.618033988749895, -2.23606797749979]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.618033988749895, -3.0, -3.23606797749979], [-2.23606797749979, -2.0, -3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.0, -3.618033988749895, -2.23606797749979], [-3.0, -3.23606797749979, -1.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.0, -3.23606797749979, -1.618033988749895], [-3.618033988749895, -2.23606797749979, -2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.23606797749979, -1.2360679774997898, -1.618033988749895], [-3.618033988749895, -2.23606797749979, -2.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-4.23606797749979, -1.2360679774997898, -1.618033988749895], [-3.8541019662496847, -0.6180339887498949, -2.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.618033988749895, -2.23606797749979, -2.0], [-3.23606797749979, -1.618033988749895, -3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.2360679774997898, 1.618033988749895, -4.23606797749979], [-2.23606797749979, 2.0, -3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.2360679774997898, 1.618033988749895, -4.23606797749979], [-0.6180339887498949, 0.6180339887498949, -4.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.2360679774997898, -1.618033988749895, -4.23606797749979], [-0.6180339887498949, -0.6180339887498949, -4.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-1.2360679774997898, -1.618033988749895, -4.23606797749979], [-2.23606797749979, -2.0, -3.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.23606797749979, 2.0, -3.618033988749895], [-3.23606797749979, 1.618033988749895, -3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.8541019662496847, 0.6180339887498949, -2.618033988749895], [-3.23606797749979, 1.618033988749895, -3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.8541019662496847, 0.6180339887498949, -2.618033988749895], [-3.8541019662496847, -0.6180339887498949, -2.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-0.6180339887498949, 0.6180339887498949, -4.618033988749895], [-0.6180339887498949, -0.6180339887498949, -4.618033988749895]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-2.23606797749979, -2.0, -3.618033988749895], [-3.23606797749979, -1.618033988749895, -3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1},{&quot;points&quot;:[[-3.8541019662496847, -0.6180339887498949, -2.618033988749895], [-3.23606797749979, -1.618033988749895, -3.0]], &quot;color&quot;:&quot;blue&quot;, &quot;opacity&quot;:1.0, &quot;linewidth&quot;:1}];\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;:0.618034,&quot;y&quot;:2.61803,&quot;z&quot;:3.8541},{&quot;x&quot;:-0.618034,&quot;y&quot;:2.61803,&quot;z&quot;:3.8541},{&quot;x&quot;:0.618034,&quot;y&quot;:4.61803,&quot;z&quot;:0.618034},{&quot;x&quot;:-0.618034,&quot;y&quot;:4.61803,&quot;z&quot;:0.618034},{&quot;x&quot;:0.618034,&quot;y&quot;:-2.61803,&quot;z&quot;:3.8541},{&quot;x&quot;:-0.618034,&quot;y&quot;:-2.61803,&quot;z&quot;:3.8541},{&quot;x&quot;:0.618034,&quot;y&quot;:-4.61803,&quot;z&quot;:0.618034},{&quot;x&quot;:-0.618034,&quot;y&quot;:-4.61803,&quot;z&quot;:0.618034},{&quot;x&quot;:0.618034,&quot;y&quot;:2.61803,&quot;z&quot;:-3.8541},{&quot;x&quot;:-0.618034,&quot;y&quot;:2.61803,&quot;z&quot;:-3.8541},{&quot;x&quot;:0.618034,&quot;y&quot;:4.61803,&quot;z&quot;:-0.618034},{&quot;x&quot;:-0.618034,&quot;y&quot;:4.61803,&quot;z&quot;:-0.618034},{&quot;x&quot;:0.618034,&quot;y&quot;:-2.61803,&quot;z&quot;:-3.8541},{&quot;x&quot;:-0.618034,&quot;y&quot;:-2.61803,&quot;z&quot;:-3.8541},{&quot;x&quot;:0.618034,&quot;y&quot;:-4.61803,&quot;z&quot;:-0.618034},{&quot;x&quot;:-0.618034,&quot;y&quot;:-4.61803,&quot;z&quot;:-0.618034},{&quot;x&quot;:1.61803,&quot;y&quot;:4.23607,&quot;z&quot;:1.23607},{&quot;x&quot;:1.61803,&quot;y&quot;:-4.23607,&quot;z&quot;:1.23607},{&quot;x&quot;:-1.61803,&quot;y&quot;:4.23607,&quot;z&quot;:1.23607},{&quot;x&quot;:-1.61803,&quot;y&quot;:-4.23607,&quot;z&quot;:1.23607},{&quot;x&quot;:1.61803,&quot;y&quot;:4.23607,&quot;z&quot;:-1.23607},{&quot;x&quot;:1.61803,&quot;y&quot;:-4.23607,&quot;z&quot;:-1.23607},{&quot;x&quot;:-1.61803,&quot;y&quot;:4.23607,&quot;z&quot;:-1.23607},{&quot;x&quot;:-1.61803,&quot;y&quot;:-4.23607,&quot;z&quot;:-1.23607},{&quot;x&quot;:2.61803,&quot;y&quot;:3.8541,&quot;z&quot;:0.618034},{&quot;x&quot;:2.61803,&quot;y&quot;:3.8541,&quot;z&quot;:-0.618034},{&quot;x&quot;:4.61803,&quot;y&quot;:0.618034,&quot;z&quot;:0.618034},{&quot;x&quot;:4.61803,&quot;y&quot;:0.618034,&quot;z&quot;:-0.618034},{&quot;x&quot;:-2.61803,&quot;y&quot;:3.8541,&quot;z&quot;:0.618034},{&quot;x&quot;:-2.61803,&quot;y&quot;:3.8541,&quot;z&quot;:-0.618034},{&quot;x&quot;:-4.61803,&quot;y&quot;:0.618034,&quot;z&quot;:0.618034},{&quot;x&quot;:-4.61803,&quot;y&quot;:0.618034,&quot;z&quot;:-0.618034},{&quot;x&quot;:2.61803,&quot;y&quot;:-3.8541,&quot;z&quot;:0.618034},{&quot;x&quot;:2.61803,&quot;y&quot;:-3.8541,&quot;z&quot;:-0.618034},{&quot;x&quot;:4.61803,&quot;y&quot;:-0.618034,&quot;z&quot;:0.618034},{&quot;x&quot;:4.61803,&quot;y&quot;:-0.618034,&quot;z&quot;:-0.618034},{&quot;x&quot;:-2.61803,&quot;y&quot;:-3.8541,&quot;z&quot;:0.618034},{&quot;x&quot;:-2.61803,&quot;y&quot;:-3.8541,&quot;z&quot;:-0.618034},{&quot;x&quot;:-4.61803,&quot;y&quot;:-0.618034,&quot;z&quot;:0.618034},{&quot;x&quot;:-4.61803,&quot;y&quot;:-0.618034,&quot;z&quot;:-0.618034},{&quot;x&quot;:1.61803,&quot;y&quot;:3,&quot;z&quot;:3.23607},{&quot;x&quot;:2,&quot;y&quot;:3.61803,&quot;z&quot;:2.23607},{&quot;x&quot;:3,&quot;y&quot;:3.23607,&quot;z&quot;:1.61803},{&quot;x&quot;:4.23607,&quot;y&quot;:1.23607,&quot;z&quot;:1.61803},{&quot;x&quot;:3.61803,&quot;y&quot;:2.23607,&quot;z&quot;:2},{&quot;x&quot;:-1.61803,&quot;y&quot;:3,&quot;z&quot;:3.23607},{&quot;x&quot;:-2,&quot;y&quot;:3.61803,&quot;z&quot;:2.23607},{&quot;x&quot;:-3,&quot;y&quot;:3.23607,&quot;z&quot;:1.61803},{&quot;x&quot;:-4.23607,&quot;y&quot;:1.23607,&quot;z&quot;:1.61803},{&quot;x&quot;:-3.61803,&quot;y&quot;:2.23607,&quot;z&quot;:2},{&quot;x&quot;:1.61803,&quot;y&quot;:3,&quot;z&quot;:-3.23607},{&quot;x&quot;:2,&quot;y&quot;:3.61803,&quot;z&quot;:-2.23607},{&quot;x&quot;:3,&quot;y&quot;:3.23607,&quot;z&quot;:-1.61803},{&quot;x&quot;:4.23607,&quot;y&quot;:1.23607,&quot;z&quot;:-1.61803},{&quot;x&quot;:3.61803,&quot;y&quot;:2.23607,&quot;z&quot;:-2},{&quot;x&quot;:-1.61803,&quot;y&quot;:3,&quot;z&quot;:-3.23607},{&quot;x&quot;:-2,&quot;y&quot;:3.61803,&quot;z&quot;:-2.23607},{&quot;x&quot;:-3,&quot;y&quot;:3.23607,&quot;z&quot;:-1.61803},{&quot;x&quot;:-4.23607,&quot;y&quot;:1.23607,&quot;z&quot;:-1.61803},{&quot;x&quot;:-3.61803,&quot;y&quot;:2.23607,&quot;z&quot;:-2},{&quot;x&quot;:1.61803,&quot;y&quot;:-3,&quot;z&quot;:3.23607},{&quot;x&quot;:2,&quot;y&quot;:-3.61803,&quot;z&quot;:2.23607},{&quot;x&quot;:3,&quot;y&quot;:-3.23607,&quot;z&quot;:1.61803},{&quot;x&quot;:4.23607,&quot;y&quot;:-1.23607,&quot;z&quot;:1.61803},{&quot;x&quot;:3.61803,&quot;y&quot;:-2.23607,&quot;z&quot;:2},{&quot;x&quot;:0.618034,&quot;y&quot;:0.618034,&quot;z&quot;:4.61803},{&quot;x&quot;:0.618034,&quot;y&quot;:-0.618034,&quot;z&quot;:4.61803},{&quot;x&quot;:1.23607,&quot;y&quot;:1.61803,&quot;z&quot;:4.23607},{&quot;x&quot;:1.23607,&quot;y&quot;:-1.61803,&quot;z&quot;:4.23607},{&quot;x&quot;:2.23607,&quot;y&quot;:2,&quot;z&quot;:3.61803},{&quot;x&quot;:3.8541,&quot;y&quot;:0.618034,&quot;z&quot;:2.61803},{&quot;x&quot;:3.23607,&quot;y&quot;:1.61803,&quot;z&quot;:3},{&quot;x&quot;:2.23607,&quot;y&quot;:-2,&quot;z&quot;:3.61803},{&quot;x&quot;:3.8541,&quot;y&quot;:-0.618034,&quot;z&quot;:2.61803},{&quot;x&quot;:3.23607,&quot;y&quot;:-1.61803,&quot;z&quot;:3},{&quot;x&quot;:-1.61803,&quot;y&quot;:-3,&quot;z&quot;:3.23607},{&quot;x&quot;:-2,&quot;y&quot;:-3.61803,&quot;z&quot;:2.23607},{&quot;x&quot;:-3,&quot;y&quot;:-3.23607,&quot;z&quot;:1.61803},{&quot;x&quot;:-4.23607,&quot;y&quot;:-1.23607,&quot;z&quot;:1.61803},{&quot;x&quot;:-3.61803,&quot;y&quot;:-2.23607,&quot;z&quot;:2},{&quot;x&quot;:-1.23607,&quot;y&quot;:1.61803,&quot;z&quot;:4.23607},{&quot;x&quot;:-1.23607,&quot;y&quot;:-1.61803,&quot;z&quot;:4.23607},{&quot;x&quot;:-2.23607,&quot;y&quot;:2,&quot;z&quot;:3.61803},{&quot;x&quot;:-3.8541,&quot;y&quot;:0.618034,&quot;z&quot;:2.61803},{&quot;x&quot;:-3.23607,&quot;y&quot;:1.61803,&quot;z&quot;:3},{&quot;x&quot;:-0.618034,&quot;y&quot;:0.618034,&quot;z&quot;:4.61803},{&quot;x&quot;:-0.618034,&quot;y&quot;:-0.618034,&quot;z&quot;:4.61803},{&quot;x&quot;:-2.23607,&quot;y&quot;:-2,&quot;z&quot;:3.61803},{&quot;x&quot;:-3.8541,&quot;y&quot;:-0.618034,&quot;z&quot;:2.61803},{&quot;x&quot;:-3.23607,&quot;y&quot;:-1.61803,&quot;z&quot;:3},{&quot;x&quot;:1.61803,&quot;y&quot;:-3,&quot;z&quot;:-3.23607},{&quot;x&quot;:2,&quot;y&quot;:-3.61803,&quot;z&quot;:-2.23607},{&quot;x&quot;:3,&quot;y&quot;:-3.23607,&quot;z&quot;:-1.61803},{&quot;x&quot;:4.23607,&quot;y&quot;:-1.23607,&quot;z&quot;:-1.61803},{&quot;x&quot;:3.61803,&quot;y&quot;:-2.23607,&quot;z&quot;:-2},{&quot;x&quot;:0.618034,&quot;y&quot;:0.618034,&quot;z&quot;:-4.61803},{&quot;x&quot;:0.618034,&quot;y&quot;:-0.618034,&quot;z&quot;:-4.61803},{&quot;x&quot;:1.23607,&quot;y&quot;:1.61803,&quot;z&quot;:-4.23607},{&quot;x&quot;:1.23607,&quot;y&quot;:-1.61803,&quot;z&quot;:-4.23607},{&quot;x&quot;:2.23607,&quot;y&quot;:2,&quot;z&quot;:-3.61803},{&quot;x&quot;:3.8541,&quot;y&quot;:0.618034,&quot;z&quot;:-2.61803},{&quot;x&quot;:3.23607,&quot;y&quot;:1.61803,&quot;z&quot;:-3},{&quot;x&quot;:2.23607,&quot;y&quot;:-2,&quot;z&quot;:-3.61803},{&quot;x&quot;:3.8541,&quot;y&quot;:-0.618034,&quot;z&quot;:-2.61803},{&quot;x&quot;:3.23607,&quot;y&quot;:-1.61803,&quot;z&quot;:-3},{&quot;x&quot;:-1.61803,&quot;y&quot;:-3,&quot;z&quot;:-3.23607},{&quot;x&quot;:-2,&quot;y&quot;:-3.61803,&quot;z&quot;:-2.23607},{&quot;x&quot;:-3,&quot;y&quot;:-3.23607,&quot;z&quot;:-1.61803},{&quot;x&quot;:-4.23607,&quot;y&quot;:-1.23607,&quot;z&quot;:-1.61803},{&quot;x&quot;:-3.61803,&quot;y&quot;:-2.23607,&quot;z&quot;:-2},{&quot;x&quot;:-1.23607,&quot;y&quot;:1.61803,&quot;z&quot;:-4.23607},{&quot;x&quot;:-1.23607,&quot;y&quot;:-1.61803,&quot;z&quot;:-4.23607},{&quot;x&quot;:-2.23607,&quot;y&quot;:2,&quot;z&quot;:-3.61803},{&quot;x&quot;:-3.8541,&quot;y&quot;:0.618034,&quot;z&quot;:-2.61803},{&quot;x&quot;:-3.23607,&quot;y&quot;:1.61803,&quot;z&quot;:-3},{&quot;x&quot;:-0.618034,&quot;y&quot;:0.618034,&quot;z&quot;:-4.61803},{&quot;x&quot;:-0.618034,&quot;y&quot;:-0.618034,&quot;z&quot;:-4.61803},{&quot;x&quot;:-2.23607,&quot;y&quot;:-2,&quot;z&quot;:-3.61803},{&quot;x&quot;:-3.8541,&quot;y&quot;:-0.618034,&quot;z&quot;:-2.61803},{&quot;x&quot;:-3.23607,&quot;y&quot;:-1.61803,&quot;z&quot;:-3}], &quot;faces&quot;:[[86,66,65,85],[115,95,96,116],[85,65,67,0,1,80],[110,9,8,97,95,115],[81,5,4,68,66,86],[116,96,98,12,13,111],[69,40,0,67],[97,8,50,99],[68,4,60,72],[102,90,12,98],[80,1,45,82],[112,55,9,110],[87,75,5,81],[111,13,105,117],[11,3,2,10],[14,6,7,15],[25,20,10,2,16,24],[32,17,6,14,21,33],[28,18,3,11,22,29],[37,23,15,7,19,36],[45,1,0,40,41,16,2,3,18,46],[76,19,7,6,17,61,60,4,5,75],[56,22,11,10,20,51,50,8,9,55],[105,13,12,90,91,21,14,15,23,106],[42,24,16,41],[61,17,32,62],[46,18,28,47],[77,36,19,76],[51,20,25,52],[92,33,21,91],[57,29,22,56],[106,23,37,107],[35,27,26,34],[38,30,31,39],[73,63,34,26,43,70],[83,48,30,38,78,88],[100,53,27,35,93,103],[118,108,39,31,58,113],[54,52,25,24,42,44,43,26,27,53],[58,31,30,48,49,47,28,29,57,59],[93,35,34,63,64,62,32,33,92,94],[109,107,37,36,77,79,78,38,39,108],[71,44,42,41,40,69],[70,43,44,71],[82,45,46,47,49,84],[84,49,48,83],[99,50,51,52,54,101],[101,54,53,100],[114,59,57,56,55,112],[113,58,59,114],[72,60,61,62,64,74],[74,64,63,73],[73,70,71,69,67,65,66,68,72,74],[89,79,77,76,75,87],[88,78,79,89],[89,87,81,86,85,80,82,84,83,88],[104,94,92,91,90,102],[103,93,94,104],[104,102,98,96,95,97,99,101,100,103],[117,105,106,107,109,119],[119,109,108,118],[118,113,114,112,110,115,116,111,117,119]], &quot;color&quot;:&quot;#008000&quot;, &quot;opacity&quot;:1.0}];\n",
       "    for ( var i=0 ; i < surfaces.length ; i++ ) {\n",
       "        if ( surfaces[i].hasOwnProperty('face_colors') )\n",
       "        {\n",
       "            addSurfaceWithColors( surfaces[i] )\n",
       "        }\n",
       "        else\n",
       "        {\n",
       "            addSurface( surfaces[i] )\n",
       "        }\n",
       "    }\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",
       "    function addSurfaceWithColors( 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",
       "                var tri = new THREE.Face3( f[0], f[j+1], f[j+2] )\n",
       "                tri.color.set(json.face_colors[i])\n",
       "                geometry.faces.push( tri );\n",
       "            }\n",
       "        }\n",
       "        geometry.computeVertexNormals();\n",
       "\n",
       "        var transparent = json.opacity < 1 ? true : false;\n",
       "        var material = new THREE.MeshPhongMaterial( {\n",
       "            vertexColors: THREE.FaceColors,\n",
       "            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",
       "\"\n",
       "        width=\"100%\"\n",
       "        height=\"400\"\n",
       "        style=\"border: 0;\">\n",
       "</iframe>\n"
      ],
      "text/plain": [
       "Graphics3d Object"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "polytopes.truncated_icosidodecahedron().plot(viewer=\"threejs\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Combinatoire et probabilités discrètes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "%display ascii_art"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "Symboles = Set([\"Coeur\", \"Carreau\", \"Pique\", \"Trefle\"])\n",
    "Valeurs  = Set([2, 3, 4, 5, 6, 7, 8, 9, 10, \"Valet\", \"Dame\", \"Roi\", \"As\"])\n",
    "Cartes   = cartesian_product([Valeurs, Symboles])\n",
    "Mains    = Subsets(Cartes, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{(6, 'Trefle'), (6, 'Coeur'), ('As', 'Carreau'), ('Roi', 'Trefle'), (8, 'Carreau')}"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Mains.random_element()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2598960"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Mains.cardinality()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "( {8, 'Roi', 2, 6, 'Dame'}, Carreau )"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Couleurs = cartesian_product([Subsets(Valeurs, 5), Symboles])\n",
    "Couleurs.random_element()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00198079231693"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "float( Couleurs.cardinality() / Mains.cardinality() )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "Mains.cardinality??"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Théorie des graphes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "graphs.*?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "Petersen graph: Graph on 10 vertices"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g = graphs.PetersenGraph(); g"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "g.*?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## SageMath\n",
    "- Un environnement confortable et homogène (Jupyter)\n",
    "- Pour la programmation et les mathématiques (Python)\n",
    "- Libre, gratuit, pérenne, multiplateforme\n",
    "- Inclut Numpy, Scipy, Matplotlib, ..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "## Livres\n",
    "- <img align=\"right\" width=\"15%\" src=\"CalculMathematiqueAvecSage.jpg\">\n",
    "  [Calcul Mathématique avec SageMath](http://sagebook.gforge.inria.fr/)<br>\n",
    "  2013, libre, 12€, [en anglais](http://sagebook.gforge.inria.fr/english.html) (2018), [en allemand](www.loria.fr/~zimmerma/sagebook/CalculDeutsch.pdf)\n",
    "- [SageMath for undergraduates](http://www.gregorybard.com/Sage.html), Gregory Bard\n",
    "- SageMath au lycée???"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "SageMath 8.7.beta5",
   "language": "",
   "name": "sagemath"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.15"
  },
  "rise": {
   "autolaunch": true,
   "header": "<img src='2018-11-14-PyParis-Education-SageMath-qrcode.png' align='left'><h2><a href='https://tinyurl.com/pyparis18-education-sage'>https://tinyurl.com/pyparis18-education-sage</a></h2>",
   "height": "100%",
   "scroll": true,
   "start_slideshow_at": "selected",
   "transition": "none",
   "width": "100%"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}