f3/i5_Radiacion_cuerpo_negro_datos_PhET.ipynb

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   "cell_type": "markdown",
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   "source": [
    "<h1 align=\"center\">Radiación de cuerpo negro: análisis de datos<br>Ley de Wien y Ley de Stefan-Botlzmann</h1>\n",
    "<div align=\"right\">David A. Miranda, PhD<br>2020</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Aquí aprenderás cómo analizar los datos obtenidos con el simulador [*blackbody spectrum* PeTH](https://phet.colorado.edu/sims/html/blackbody-spectrum/latest/blackbody-spectrum_es.html).\n",
    "\n",
    "[Video explicativo](https://youtu.be/_uZEDsBww3w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Importar librerias"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2. Datos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "     T [K]  $\\lambda_{max}$ $[\\mu m]$  $E_{max}$ $[M W /μm m^2]$  \\\n",
       "0    200.0                     14.489                   0.000004   \n",
       "1    450.0                      6.439                   0.000200   \n",
       "2    950.0                      3.050                   0.010000   \n",
       "3   1500.0                      1.932                   0.100000   \n",
       "4   2000.0                      1.449                   0.410000   \n",
       "5   2500.0                      1.159                   1.260000   \n",
       "6   3000.0                      0.966                   3.130000   \n",
       "7   3500.0                      0.828                   6.760000   \n",
       "8   4050.0                      0.715                  14.000000   \n",
       "9   4500.0                      0.644                  23.700000   \n",
       "10  4950.0                      0.585                  38.200000   \n",
       "11  5500.0                      0.527                  64.800000   \n",
       "12  5800.0                      0.500                  84.500000   \n",
       "\n",
       "    $I$ $[W/m^2]$  \n",
       "0            90.7  \n",
       "1          2330.0  \n",
       "2         46200.0  \n",
       "3        287000.0  \n",
       "4        907000.0  \n",
       "5       2220000.0  \n",
       "6       4590000.0  \n",
       "7       8510000.0  \n",
       "8      15300000.0  \n",
       "9      23300000.0  \n",
       "10     34000000.0  \n",
       "11     51900000.0  \n",
       "12     64200000.0  "
      ],
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    "T = 'T [K]'\n",
    "L = r'$\\lambda_{max}$ $[\\mu m]$'\n",
    "E_max = r'$E_{max}$ $[M W /μm m^2]$'\n",
    "I = r'$I$ $[W/m^2]$'\n",
    "columns = [T, L, E_max, I]\n",
    "data_array = np.array([\n",
    "    [ 200, 14.489,\t4.00E-06,\t9.07E+01],\n",
    "    [ 450,  6.439,\t2.00E-04,\t2.33E+03],\n",
    "    [ 950,  3.050,\t1.00E-02,\t4.62E+04],\n",
    "    [1500,  1.932,\t1.00E-01,\t2.87E+05],\n",
    "    [2000,  1.449,\t4.10E-01,\t9.07E+05],\n",
    "    [2500,  1.159,\t1.26E+00,\t2.22E+06],\n",
    "    [3000,  0.966,\t3.13E+00,\t4.59E+06],\n",
    "    [3500,  0.828,\t6.76E+00,\t8.51E+06],\n",
    "    [4050,  0.715,\t1.40E+01,\t1.53E+07],\n",
    "    [4500,  0.644,\t2.37E+01,\t2.33E+07],\n",
    "    [4950,  0.585,\t3.82E+01,\t3.40E+07],\n",
    "    [5500,  0.527,\t6.48E+01,\t5.19E+07],\n",
    "    [5800,  0.500,\t8.45E+01,\t6.42E+07],\n",
    "])\n",
    "data = pd.DataFrame(data_array, columns=columns)\n",
    "data"
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   "source": [
    "# 3. Ley de desplazamiento de Wien\n",
    "La ley de deplazamiento de Wien relaciona la temperatura del cuerpo negro $T$ con la longitud de onda $\\lambda_{max}$ a la cual se presenta la mayor densidad de potencia espectral $E(\\lambda, T)$, $$\\lambda_{max}T = b$$\n",
    "Donde $b = 2.8976\\times 10^{-3} [mK]$ es la constante de Wien."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "x = 1/data[L]\n",
    "y = data[T]\n",
    "p = np.polyfit(x, y, 1)\n",
    "x_fit = np.linspace(0, 1.05*x.max(), 10)\n",
    "y_fit = np.polyval(p, x_fit)\n",
    "plt.figure(dpi=120)\n",
    "plt.plot(x, y, 'ok')\n",
    "plt.plot(x_fit, y_fit, 'k', label=r'$T = %0.4g / \\lambda_{max}$ $[K]$' % p[0])\n",
    "plt.legend()\n",
    "plt.ylabel(T)\n",
    "plt.xlabel(r'$1/\\lambda_{max}$ $[1/\\mu m]$')\n",
    "plt.axis([min(x_fit), max(x_fit), min(y_fit), max(y_fit)])\n",
    "_ = plt.title(r'$b = %0.4g \\times 10^{-3} [mK]$' % (1e-3*p[0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 720x480 with 1 Axes>",
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79mTGjBk452jcuDEPPvggn3zySY1MOEE9nRGTn5+vIXWRCDIzoqKiAr0DIiI1ic/nIzMzk5ycHGJiYujfvz/R0dHs3LmTsWPH8tRTTwXqDhgwgLS0NI4//vgIRnxoNTrpNLPfAVcBvwGOBH4CVgCTnXMry9G+IzAVGAw0A9YCE5xz7wWpexaQDPQCfgHeBMY557aF5t0EjS9clxaRctC/QRGpaXw+HykpKaSmppKdnR0oj4uLY+DAgSxZsoStW7cC0KJFC1JSUrjhhhto0KDmD17X6KQTuAFoB8wA1gMdgLHAR2Z2jnPu/dIamllj4D2gDTAa2AYkAu+Y2VnOuaWF6p4BvA28BVwIdASmAO+ZWV/n3IFwvDkRERGRAj6fjyFDhpCRkVHil+KtW7fywgsvBL4+55xzeOKJJ+jcuXN1h1lpNT3pTCze02hm7wBfAXcCpSadQALQA/iNc265v+1ivN7OqcCpheo+BGwELnHO5frrfgtkAsOAmSF5NyIiIiKlSElJCTyqsqypP3/605945ZVXat1oTY3uiw02tO2c24PX63nkIZpfBHxRkHD62+YCzwCnmNnhAP7Xk4F/FCSc/rof4iWiF1X1fYiIiIiUxefzkZqaWq5E8sMPPwzsxVmb1OikMxgzaw2cCKw7RNUewGdBygvKuheqRxl1ewQpLxxPRzPrXvgAuh4iNhEREZGAzMxMsrOzy7W4cevWrWRmZlZDVKFV65JOIBVoDtx/iHrtgJwg5TmFzhd+La1uuyDlhY0Csoodrx+iTZ23e/duxo0bx9lnn02HDh0wMyZNmlRq/by8PDp27MgjjzwSKNu/fz8NGzakZcuW3HTTTdUQdfVZs2YNgwYNolOnTjRt2pSYmBj69evHM888c8i2aWlpmBktWrQoUr5kyRLMLOjx0UcfBept2rSp1HrFjy+++KLE/a+99trA+R49iv5OForPvSrmz59fJP4VK1aE5LoiIuGWkxMsDQld/ZqgViWdZpYMXAncWp7V60BZvy4UP1da3UP9yvE3vN7QwseF5YitTvvxxx+ZPXs2Bw4cYMiQIYes/8EHH7B9+3b+9Kc/BcrMjPfff59TTjmFxx9/nI0bN4Yz5Gr1008/ceSRR/LAAw+QkZHB008/TZcuXbj66qu57777Sm333Xffcdttt3HYYYeVWueBBx5g+fLlRY7CyWFMTEyRc4sWLQJgyJAhJdodd9xxQe8RFxfH8uXLee6554qUh+Jzr4ozzjiD5cuXM2HChJBcT0SkOvh8Pt5+++0KtYmJiQlTNOFT0xcSBZjZPcAE4C7n3OPlaPIjwXspCz6lnEL1KKNumb9K+OedFl/sVI7w6rbOnTuzc+dOzIwdO3aQlpZWZv1XXnmFvn37FlmF17hxY04//XTGjRvH+++/z8qVK0tNgmqbgQMHMnDgwCJlgwcP5ttvv2X27NmlJk3XX389p59+OjExMbzyyitB6xx77LGcdtpppd67VatWRc4XDNH8/ve/L7NdYY0bNw5aNxSfe1W0bduW0047jQ0bNoTkeiIi4bZ69WoSEhJYvXp1ueqbGbGxsfTv3z/MkYVerejp9Ceck4BJzrkHytnsc6BnkPKCsqxir6XVzQpSLodQMLxZHs455s2bx8UXXxz0/AknnAB4Q9J1Xfv27Ut9DvgzzzzD0qVL+dvf/hbSe65atQqAE088scrXCsXnfvbZZzNgwAAWLlzIgAEDaNasGV26dOHFF18E4MUXX6Rv3740a9aM+Ph4Fi9eXOW4RUSq2/79+7nzzjs5+eSTAwlneR7J65wjMTGR6OjocIcYcjW+p9PM7sZLOO9zzt1bgabzgL+Z2anOuY/912qIt9n8x8657wGcc9+Z2SfAVWb2V+dcnr/uacDxwPTQvZtDu+WWW2pUctW7d2+mTw/vX8GHH37IDz/8UGrSOWXKFKDmJJ3OOfLy8spVt7QEskB+fj75+fns3LmTl19+mXfffZfHHy/Zkb9t2zZuueUWUlJSOOKII8q8ZmJiIpdffjnNmjWjX79+3H333QwYMKDU+qtXr6ZBgwb06tWrXO8pVEr73FevXk3Tpk2ZMGECY8aMoU2bNiQlJXHNNdfw0UcfsWbNGu68806ioqIYPXo0V111Fd999121xi4iUhXLli1j+PDhgXnzDRs25I477iApKYnLL7+ct956CzMrsqio4OtBgwaRlJQUqdCrpEYnnWY2FpgMvAO85U8EA5xzH/nrpQNDga7Ouc3+03PwNoN/2czuwBsCH4WXSJ5V7FZJwCJ/3b/hbQ6fgtfL+RTVaM2aNSxduvTQFeuQV155hZ49e3LssceWOLdw4UJmzpxJ27Ztyz30EG5Lly7lzDPPLFfdb7/9li5dupR6ftSoUTzxxBMANGrUiEcffZS//OUvQesdf/zx3HDDDaVeq3Xr1owePZqBAwfSrl07vvrqKx566CEGDhzIW2+9xTnnnBO03erVqznuuONo3rx5ud5TqAT73Ddv3syOHTs4+eSTWbZsGY0aNQK8uaJXXXUVX3zxBe+//36gN3XDhg3ccccd7Ny5k7Zt21Zr/CIiFbV7927Gjx9PampqoOykk04iPT098Iv/vHnzmDJlCqmpqYEnDwHExsaSmJhIUlJSrezlhBqedAIX+F/P9R/FFYzjRfmPwLiec+6Amf0ebyP4x/Aeg7kGOK/w04j8dZeY2fl4Ce4C/vcYzNur+2lEvXv3rs7bHVJ1xPPaa68xbNiwEuU//fQTw4YN48ILL6RHjx7cf//9fP/992UuoqkOJ510Ep9++mm56h4q1jvvvJPhw4ezbds2FixYwI033sjevXu57bbbAnVeffVVFixYwOrVq8scuu7Tpw99+vQJfP3b3/6Wiy66iJ49ezJu3LigSefBgwdZt24dl156abneTygF+9xXrvTWByYnJwcSToCff/4Z8DZOLvx3sGfPHqKjo2nZsmU1RCwiUnnvvvsuI0eOZMuWLQA0adKEyZMnc+uttxYZFYuOjmbChAkkJSUFffZ6bVajk07n3MBy1rsWuDZIeTZeD2h5rrEIr7czosI9lF3TfPLJJ2zZsiXo0HpiYiI+n48nn3ySDz74APB6ggsncjNmzGDZsmVER0fz5ptvcsIJJzB//nxSUlJ45plniIuLIyMjgy5durBlyxZGjhzJypUr8fl8XHbZZcyaNYsGDRpw4403sm/fPtLT03HOcfHFF3PEEUfw6KOPloirRYsW5U7GDzW83qlTJzp16gTA+eefD8D48eMZOnQoHTp0YM+ePSQmJnLTTTdx2GGH8dNPPwFesgheYh4dHV1qL2WbNm0YPHgws2bNYt++fTRt2rTI+aysLHw+X0jmc1ZEaZ/7qlWraNy4Mb/73e+KlK9cuZLDDjuMX//610XKV69eTY8ePQ759ywiEik5OTnceuutPP3004Gy008/nSeffLLMxbHR0dElFpzWdrViIZHUXa+++irHHXdcif0eX3nlFZ577jnS09Pp0KFDICkqPq/zs88+48MPP+SWW25h27Zt5OXlceaZZ3L++eezbds2jjvuOP7+978DXq/YnXfeyffff09WVhbvvvsu7733HuD1OL788sts2bKFO+64g/3795e6d+TSpUuJjo4u17Fp06YK/X2ccsop5Obm8s033wCwY8cOsrOzmTZtGm3btg0czz//PHv37qVt27ZceeWVZV6zYE5QsF7SgikL1Z10lva5r1y5kl69epX4bX7FihX07du3xHVWrlzJSSedFNZYRUQq65VXXqFbt26BhLNly5bMnDmTxYsX15ndWCpC3QMSUa+++iqXXXZZkbKtW7dy/fXXM3LkSAYPHgzAUUcdRZs2bUrM6/zss8+YPHkyp5xyCgBHH300xx13HOee683G6NatW2DRT3x8fKDdEUccwamnnsrOnTsBbxj8uuuu449//CP5+flkZmYSFRUVNOZQDq8Xt3jxYho0aMDRRx8NePthBludnZKSwtKlS3n77bdp3759qdfbuXMnb775Jr1796ZJkyYlzhesXC88LF8dgn3uBfFccsklRcr279/PunXrSvSK/vDDD2zdulVJp4jUOD/88AOJiYnMmzcvUHbeeefxxBNPcOSRh3qKd92lpFPC5u2332bv3r3s3r0bgPXr1wf2ljz//PPZuHEjX3/9dYlkYsSIEbRt25aHH364SHmfPn2K9HTm5+ezfv36wLA0wL///W9Gjx5d5OuC+YrPPfccM2bM4OuvvyY3N5c9e/Ywfvz4QN3evXvz6KOP8sEHH5Q5R7Bly5ZBe90qYuTIkbRq1YpTTjmF2NhYduzYwcsvv8yLL77I7bffHtg2o0mTJkGHV+bOnUtUVFSRc1dccQWdOnWib9++tG/fni+//JJp06aRnZ3N3Llzg8axevXqQEIfKpX93P/73/+ybdu2En+3a9euJTc3t0R5wfzPqn4WIiKh4pxj7ty5jBkzJjAdql27dsyYMYMrrrhC+3g753SE+MB7rrvLyspypfn666/d119/Xer5uqBz584O74lOJY5vv/3WTZgwwXXu3LlImyeffNJFRUW55cuXl7jemDFjnJm5n3/+2Tnn3BdffOE6duwYOH/gwAEXHR3tdu3aFSg76qij3Geffebeffddd8IJJ7i1a9e63Nxct337dte8eXO3f/9+55xzn376qTviiCPcpZde6hISEsLwt1HUnDlz3G9/+1vXvn1717BhQ9emTRt3xhlnuH/84x/laj906FDXvHnzImUPPvig6927t2vdurWLiopyHTp0cBdddJH75JNPgl4jLy/PNW/e3F188cUVin3o0KElPrfCKvO5O+fc/PnzHeA+++yzIuWpqakOcNu2bStSPmnSJBcdHR34DAt76qmnHOA+/fTTMt9Lffh3KCKhcfDgQbd48WL36quvusWLF7uDBw8WOf/NN9+4s846q8j/eX/+859ddnZ2hCIuv6ysrIKYu7tw5kfhvHh9PZR0lk+3bt3cmDFjKt3+5Zdfdn/4wx8CX69evdodddRRga9//vln17hxY3fw4EE3depUd+6557o9e/a4LVu2uLPPPtvFx8c755zbsmWL69Spk1u8eLH74YcfXMuWLev9Z1OWgqTT5/O53NzcCrev6udelvz8fOfz+Vx6erqSThEJiYMHD7rJkye72NjYIgllXFycmzx5stu3b5+bMWOGa9asWeDcYYcd5ubPnx/p0MutupJODa9LxKxfv75K7T///PMiG5oX/zorK4vjjjuO6OhorrzySl5++WU6duzIKaecQu/evYmJiWH37t0MHjyYiRMnBoaqhw4dSnJyMk89Va1btNYqmzdvJjo6mu7du5OVVbGHdlX1cy/L66+/zkUXXRS264tI/eLz+RgyZAgZGRklhsazs7OZOHEiDz/8cGAoHbwpYlOnTg3ptKW6wpxzh64lFWJm3YGsrKwsunfvHrROwerkggUjIrXFpk2b2LFjBwBNmzYt9Xs8En766Se++uqrwNfx8fE0a9as1Pr6dygiZUlOTmbixInlqnv00Ufz5JNPltjyrTZYt25dwW4iPZxz68J1H/V0ikiFdOnSpcynLEVSmzZttLBIRELC5/ORmppa4nGUwTRr1oyVK1eqd/MQtE+niIiISDGZmZlkZ2cfMuEE+OWXX0rsIy0lKekUERERKSYnJyes9esjJZ0RpPm0IpGlf4MiUpqYmJiw1q+PlHRGSIMGDcjLy9MPPZEIcc6Rl5enzZpFJKiff/6ZBg0OnSaZGXFxcfTv378aoqrdlHRGSOPGjcnLy2Pbtm1KPEWqWW5uLj/88AN5eXm0aNEi0uGISA2yY8cOrr76ai688ELy8/MPWd85R2JiItHR0dUQXe2m1esREhsby4EDB8jJyWHXrl1ERUWpx0UkzJxz5Ofnk5ubC3grTtu2bRvhqESkJnDO8dJLL3HTTTexfft2AFq1akXnzp35/PPPS6xiL/h60KBBJCUlRSrsWkU9nRHSoEEDOnXqRJs2bWjUqJESTpFqYGY0bNiQli1bcvjhh9OpUycaNtTv3iL13ffff8+QIUO4/PLLAwnn4MGDWbduHStXriQ5OZnY2NgibWJjY0lOTmbevHnq5SwnbQ4fBuXZHF5EREj68KgAACAASURBVEQiyzlHeno6t912G7t27QKgffv2PProo1x++eVFOoR8Ph+ZmZnk5OQQExND//7960yyqc3hRURERMLkm2++YcSIEbz//vuBsiuuuILp06fToUOHEvWjo6MDj0uWytHwuoiIiNQbeXl5PPLII/To0SOQcB5++OEsWLCAZ599NmjCKaGhnk4RERGpF7Kyshg+fDgff/xxoOwvf/kLU6ZMoXXr1hGMrH5Q0ikiIiJ12sGDB3nwwQe5//778fl8AHTt2pW0tDQNmVcjJZ0iIiJSZ3366acMGzaMrKwswNs9ZsyYMdx77700a9YswtHVL0o6RUREpM755ZdfmDhxIo888khgk/eePXuSnp7OySefHOHo6iclnSIiIlKnLFmyhOHDh/P1118D3srzu+++m6SkJBo1ahTh6OovJZ0iIiJSJ+zatYtx48Yxe/bsQNmpp55Kenq69s2uAbRlkoiIiNR6CxYsID4+PpBwNmvWjEceeYTMzEwlnDWEejpFRESk1tq+fTujR4/m+eefD5T9/ve/Z/bs2Rx99NERjEyKU0+niIiI1DrOOZ577jm6desWSDhbt25NWloaixYtUsJZA6mnU0RERGqV//73v9xwww28+eabgbILL7yQv/3tbxx22GERjEzKop5OERERqRXy8/N54okniI+PDyScHTp04MUXX2TevHlKOGs49XSKiIhIjffVV18xYsQIlixZEii7+uqreeSRR2jXrl3kApNyq/E9nWbW0symmtlCM9tuZs7MJpWz7RJ//dKOuHLUfSdsb05ERETKlJuby1//+ld69uwZSDiPPPJIMjIyePrpp5Vw1iK1oaezHTASWAvMB4ZXoO0ooFWxsmbAO8BK59zWYue+Aa4sVvZTBe4nIiIiIfLZZ5+RkJDAihUrAmWjRo3iwQcfpFWr4j/epaarDUnnZqCtc86ZWXsqkHQ659YXLzOzoUA0kBakyT7n3EeVjlRERESq7MCBAzzwwAM88MAD5ObmAnDssceSlpbG6aefHuHopLJqfNLpnHMhvmQCsAd4McTXFRERkSr66KOPSEhIYP16r98oKiqK2267jXvuuYemTZtGODqpihqfdIaSmR0L/BZIc87tCVKlq5nl4A3JbwZeAO5zzu0r45odgQ7FrxOikEVEROqFvXv3cvfddzN9+nQK+pt69epFeno6J510UoSjk1CoV0knXi8nQHqQc8vwej83AE2B84BxwAAzO9M5l1/KNUcB94Q6UBERkfrivffeY8SIEXz77bcANGrUiHvuuYfbb7+d6OjoCEcnoVJvkk4zawgMBdYFm7fpnJtQrCjDzDYBfwUuBOaVcum/AS8XK+sKvF6lgEVEROoAn89HZmYmOTk5xMTE0L9//0Ai+dNPP3HbbbeRnv6/vqB+/fqRnp5Ot27dIhWyhEm9STqB84E4YEoF2jyDl3SeRilJp3NuG7CtcJmZVTJEERGRusHn85GSkkJqairZ2dmB8ri4OEaNGkV8fDw33XQTP/zwAwDNmzfnwQcfZNSoUURFRUUqbAmj+pR0JgAHgX9Uom1pQ+siIiJSjM/nY8iQIWRkZJToiNm6dSsTJ04sUvaHP/yB2bNn06VLl2qMUqpbjd8cPhT8m8CfD8x3zv1YgaZD/a/aRklERKScUlJSyMjIAKCsTWiaNGnCU089xbvvvquEsx6oFT2dZnYe0Bxo6S+KN7NL/H/OcM79YmbpeEliV+fc5mKXGIr3XoPtzYmZ/Ra4C28I/RugCd5CopHA+8CCEL4dERGROsvn85GamoqZlZlwArRs2ZIrr7xS09LqiVqRdAIzgc6Fvr7UfwAcBWwCovxHsO/cYf46/yzl+j8AecDdQHvAAV8CE4FpZaxcFxERkUIyMzOLzOEsy/bt28nMzGTgwIHhDUpqhFqRdDrnupSjzrXAtaWcO/4Qbb8CBlUiNBERESkkJycnrPWl9qoXczpFRESkerRu3bpC9WNiYsIUidQ0taKnU0RERGq+tWvXcvvtt5errpkRGxtL//79wxyV1BTq6RQREZEq2b9/PxMmTKBv376sXr26XG2ccyQmJuqJQ/WIkk4RERGptA8//JA+ffpw//33k5ubS1RUFElJSZx77rlAyQemFHw9aNAgkpKSqj1eiRwlnSIiIlJhe/bs4eabb2bAgAFs2LABgD59+rBixQpSUlJ44403SE5OJjY2tki72NhYkpOTmTdvnno56xk71B5aUnFm1h3IysrKonv37pEOR0REJKQWLlzIyJEj2bzZ2xa7cePGTJo0ibFjx5ZIJMt69rrUDOvWraNHjx4APZxz68J1Hy0kEhERkXLZuXMnY8aMYe7cuYGyAQMGkJaWxvHHB9+dMDo6WvtwCqDhdRERESmH1157jfj4+EDC2aJFC1JTU1m6dGmpCadIYerpFBERkVJt3bqVG2+8kVdffTVQdu655zJr1iw6d+5cRkuRotTTKSIiIiU455g7dy7x8fGBhDMmJoann36ajIwMJZxSYerpFBERkSI2b97MyJEjWbhwYaDs0ksv5bHHHiuxGl2kvNTTKSIiIgDk5+fz2GOP0b1790DCGRcXx2uvvcZLL72khFOqRD2dIiIiwoYNGxg+fDiZmZmBsuuuu45p06bRtm3bCEYmdYV6OkVEROoxn8/HAw88QK9evQIJZ5cuXVi0aBFz5sxRwikho55OERGRemrVqlUkJCSwZs0awHtE5ejRo7nvvvto3rx5hKOTukZJp4iISD2zb98+Jk+ezEMPPUReXh4A3bp1Iz09nX79+kU4OqmrlHSKiIjUI8uWLSMhIYGNGzcC0LBhQ8aPH89dd91F48aNIxyd1GVKOkVEROqB3bt3M378eFJTUwNlJ510Eunp6fTq1SuCkUl9oYVEIiIiddw777xDjx49AglnkyZNmDp1Kh999JESTqk26ukUERGpo3788UfGjBnD008/HSg7/fTTSUtL49hjj41gZFIfKekUERGppXw+H5mZmeTk5BATE0P//v2Jjo7GOcerr75KYmIi27ZtA6Bly5ZMnTqVkSNH0qCBBjql+inpFBERqWV8Ph8pKSmkpqaSnZ0dKI+Li+Pqq69m48aNvP7664Hy888/n1mzZnHkkUdGIlwRQEmniIhIreLz+RgyZAgZGRmYWZFzW7du5aGHHgp83a5dO2bMmMEVV1xRoq5IdVPSKSIiUoukpKSQkZEBgHOu1Ho9e/bkn//8Jx07dqyu0ETKpEkdIiIitYTP5yM1NbVcvZbbt2/XIyylRlHSKSIiUktkZmaSnZ1dZg9nga1btwaepS5SEyjpFBERqSVycnLCWl8knJR0ioiI1BLbt2+vUP2YmJgwRSJScUo6RUREarh9+/aRlJTEqFGjylXfzIiLi6N///5hjkyk/LR6XUREpAZbunQpw4cP56uvvgIgKiqKvLy8Mts450hMTCQ6Oro6QhQplxrf02lmLc1sqpktNLPtZubMbFI5217rrx/siAtS/3IzW2Nm+83sezObbmYtQv6mREREDuHnn3/mhhtuYODAgYGE85RTTuHTTz9l0KBBACVWsRd8PWjQIJKSkqo3YJFDqPFJJ9AOGAk0BuZX8hrXAf2KHT8WrmBmVwLPA58C5wH3AtcCr1XyniIiIpWSkZFB9+7dmTVrFgBNmzZl2rRpfPjhh/Tp04d58+aRnJxMbGxskXaxsbEkJyczb9489XJKjVMbhtc3A22dc87M2gPDK3GNLOfcitJOmlkU8BCw0Dk3wl+82Mx2A8+a2XnOubcrcV8REZFy27FjB7fccgvPPvtsoOzMM8/kySefpGvXroGy6OhoJkyYQFJSUtBnr4vURDU+6XTl2Yys6k4DfgWMKVb+MvAEcBGgpFNERMLCOcdLL73ETTfdFFih3qpVK/76178yfPjwUjeDj46OZuDAgdUYqUjl1fikM0TeNLMOwC5gCTDROZdV6HwP/+tnhRs553xmtqHQ+RLMrCPQoVhx12B1RUREivv++++54YYbeOONNwJlF1xwATNnzuTwww+PYGQioVXXk86twP3AR8DPQE/gDuAjM+vvnFvrr9fO/xpsF90coEsZ9xgF3BOSaEVEpN5wzpGens5tt93Grl27AOjQoQOPPfYYl112WbkedSlSm9TppNM59w7wTqGiD8zsLeBzYDJwYfEmpV2qjNv8DW8YvrCuwOsVCFVEROqRr7/+mhEjRrB48eJA2ZVXXsn06dNp3759BCMTCZ86nXQG45zbZGbL8OZxFihYyd4OyC7WJIbgPaAF19sGbCtcpt9ORUQkmLy8PGbMmMGECRPYt28fAEcccQSzZs0KbIMkUlfVhi2TwsGA/EJff+5/7VmkkllD4ASg8PxPERGRCsvKyuI3v/kNY8eODSSc119/PevWrVPCKfVCvUs6zewooD/ePM8CHwM/4O3LWdglQAu0V6eIiFTSwYMHuffeeznxxBP55JNPADjmmGNYsmQJM2fOpFWrVhGOUKR61IrhdTM7D2gOtPQXxZvZJf4/ZzjnfjGzdGAo0NU5t9nf7p/AB3ir0gsWEo3Dm6N5d8H1nXN5ZjYO+IeZPYG3SfyxwFRgkX9uqIiISIV8+umnDBs2jKwsb8CsQYMGjB07lkmTJtGsWbMIRydSvWpF0gnMBDoX+vpS/wFwFLAJiPIfhSdUfg78GbgNaIo39/J9INk5t7HwDZxzz5hZHt7q9mvx5nE+DdwV2rciIiJ13S+//MLEiRN55JFHyM/3ZnP17NmTOXPm0Ldv3whHJxIZtSLpdM51KUedayk2PO6cu7WC93ker5dTRESkUhYvXszw4cP55ptvAGjUqBF3330348aNo1GjRhGOTiRyakXSKSIiUtPt2rWLcePGMXv27EDZaaedRnp6OvHx8RGMTKRmqHcLiUREREJtwYIFxMfHBxLOZs2aMX36dJYtW6aEU8RPPZ0iIiKVtH37dkaPHs3zz/9vZtZZZ53F7NmzOeqooyIYmUjNo6RTREQkCJ/PR2ZmJjk5OcTExNC/f3+io6MB7xGWzz//PDfffDM//ug9X6R169Y8/PDDXHfddXpIiEgQSjpFREQK8fl8pKSkkJqaSnb2/x5SFxcXx6hRo7jqqqu4+eabefPNNwPnhgwZQmpqKocddlgkQhapFcy5sh4rLpVhZt2BrKysLLp37x7pcEREpJx8Ph9DhgwhIyMDMyPYz8iGDRuSm5sLQMeOHXn88ce55JJL1Lsptda6devo0aMHQA/n3Lpw3UcLiURERPxSUlLIyMgACJpwAoGE85prrmH9+vVceumlSjhFykHD6yIiIni9nKmpqaX2cBbWtm1b0tLSAnM8ReTQ1NMpIiICZGZmkp2dfciEE2Dnzp1kZmZWQ1QidYeSThERESAnJyes9UXqOyWdIiIiQExMTFjri9R3mtMpIiL13t69e5k/f3656poZsbGx9O/fP8xRidQtSjpFRKRee++99xgxYgTffvttueo750hMTNQiIpEK0vC6iIjUSz/99BPDhw/nrLPOCiSc/fr144wzzgAosQ1SwdeDBg0iKSmpeoMVqQOUdIqISL3z+uuvEx8fT3p6OgDNmzfnscceY9myZSxatIjk5GRiY2OLtImNjSU5OZl58+apl1OkEir1RCIzO7GS91vvnNtfyba1hp5IJCJSM2VnZ3PzzTfz0ksvBcrOPvtsnnjiCbp06VKkblnPXhepS6rriUSVndO5AqjM8zNPBlZV8p4iIiKV4pzj2WefZfTo0YGtjtq2bcsjjzzCNddcE/SJQtHR0QwcOLCaIxWpu6qykOh+4Oty1o0CnqzCvURERCply5YtXH/99bz99tuBsosvvpjHH3+cuLi4CEYmUr9UJel80zn3SXkqmlkUkFaFe4mIiFRIfn4+s2bNIikpiT179gDevMzU1FQuvvjiCEcnUv9UNum8CPiivJWdc3lmdhHwVSXvJyIiUm4bN25k+PDh/Otf/wqUXXvttUybNk2buotESKWSTufc69XRRkREpCJyc3OZNm0a99xzDwcOHACgc+fOzJ49m7PPPjvC0YnUbyHbHN7MWgO7nXP5obqmiIhIea1du5Zhw4axapW3XtXMuOmmm7j//vtp0aJFhKMTkSonnWY2EPgHcBjgM7MsYKX/WAF87pzzVfU+IiIiwezfv5/77ruPKVOmkJubC8AJJ5xAWlqaHlUpUoOEoqczFcgFxgMtgD7ABcAI//kDQNMQ3EdERKSIDz/8kISEBDZs2ABAVFQUd9xxBxMmTKBJkyYRjk5ECgtF0tkFuNw5t6BwoZnFAX2Bym4kLyIiEtSePXu48847efzxxyl4yEmfPn2YM2cOvXv3jnB0IhJMKJLO9Xj7cBbhnNsKvOk/REREQmLhwoWMHDmSzZs3A9C4cWPuvfdexo4dS8OGIVuqICIhFopnr/8VuCkE1xERESnVzp07ue666zjnnHMCCeeAAQNYu3YtSUlJSjhFargqJ53OuReBtWb2pv+Z4yIiIiH12muvER8fz9y5cwFo0aIFqampLF26lOOPPz6ywYlIuYRi9fplwCigEXCemX2Pt2o9cDjnfqzqfUREpP7ZunUrN954I6+++mqg7Nxzz+WJJ56gU6dOEYxMRCoqFGMRU4ANwFSgFXAS3gKiQf7rO4LM+RQRESmNc46///3vjBkzhp07dwIQExPD9OnTueqqqzCzCEcoIhUViqSzI/AX59zCwoVm1hjoTRVXr5tZS+Bu/7X6AO2Be51zk8rR9k/ApcDJwOFANpAJTHLOfVms7hLgjCCXedc5d24V3oKIiFTApk2b+Mtf/sLChf/7sXLZZZfx6KOPEhsbG8HIRKQqQpF0rgLaFC90zh0APvYfVdEOGAmsBeYDwyvQNgnYCtwPfAMcCdwJrDKz05xz64rV/wa4sljZT5UJWkREKiY/P5/U1FTGjx/P3r17AYiLi2PmzJkMGTIkwtGJSFWFIumcDCSb2WvOudwQXK+4zUBb55wzs/ZULOm8wDm3rXCBmb0PbAJuDXKtfc65j6oSrIiIVNyGDRsYPnw4mZmZgbKEhAQeeugh2rZtG8HIRCRUQrFl0kQgDviXmZ1lZiGdv+n8Ktl2W5Cy74H/4vV6iohIBPl8Ph544AF69eoVSDi7dOnCokWLSEtLU8IpUoeEoqdzH9AMOBV4FzhgZmspunq9+DB2xJjZ0UBnvKH64rqaWQ7egqjNwAvAfc65fWVcryPQofh1QhSuiEidtWrVKhISElizZg0AZsbo0aO57777aN68eYSjE5FQq3LS6Zw7G8DMOuGtXD/R/3opkEgNWr1uZg2BdGAP8Eix08uAF/FW4jcFzgPGAQPM7EznXH4plx0F3BOeiEVE6p59+/YxefJkHnroIfLy8gCIj48nLS2Nfv36RTg6EQmXkD2+wTm3BdgCzCsoM7PD8RLQiDNvf4104LfAxc65/xQ+75ybUKxJhpltwnvi0oUUel/F/A14uVhZV+D1qsYsIlLb+Hw+MjMzycnJISYmhv79+xMdHR04v2zZMhISEti4cSMADRs2ZPz48dx11100btw4UmGLSDUI6zPDnHPfAd+F8x7l4U8404CrgKHOufImhM/gJZ2nUUrS6Z83WnyxUuWDFRGphXw+HykpKaSmppKdnR0oj4uLY9SoUSQmJjJx4kRSU1MD50466STmzJnDr3/960iELCLVLBRPJFqMN3dzFbDSObex0Ll4oKVzrqrbJlUlvoKE8zogwTn3TCUuU9rQuohIvefz+RgyZAgZGRklfunOzs5m4sSJPPjgg+zb502Pb9KkCZMnT+bWW2/V89JF6pFQ/Gt3eFsPtQacme0BVgMr8TaOPxM4IgT3qTB/wvkkXsL5F+fcUxW8xFD/q7ZREhEpRUpKChkZGYD3JKHCCr4uSDhPP/100tLSOPbYY6s3SBGJuFAsJPodgJkdy/8egTkQbx9MB3xV1XuY2XlAc6ClvyjezC7x/znDOfeLmaXjJYldnXOb/eceBRKAOcDnZnZaocsecM6t9l//t8BdeEPo3wBN8BYSjQTeBxZU9T2IiNRFPp+P1NRUzKxEwllcq1atWLhwoeZuitRToVxI9CXwJd42Q5jZGf4/F3/CT2XMxNvmqMCl/gPgKLzN3qP8R+GxnQv8r8P8R2GbgS7+P/8A5OE9brM9XrL8Jd4epNPKWLkuIlKvZWZmFpnDWZaff/6Z5cuXM3DgwPAGJSI1Utgm0zjnlppZKjAF+H0Vr9WlHHWuBa6taDt/va+AQRWPTESkfsvJyQlrfRGpO0LxRKKyrMFb+S0iInVQTExMWOuLSN0RitXrTwGf4i0cWuOcO1Do9DFA+cZdRESkVsnLy2PVqlXlqmtmxMbG0r9//zBHJSI1VSiG1wfiLeBxQK6ZrcfbPikXb97l8BDcQ0REapD169eTkJDARx+Vb3MP5xyJiYlFNooXkfolFKvXjzKzGLxV6yf7X88GDvdXed7MPgc+AT52zv29qvcUEZHIOHjwIFOmTOG+++7j4MGDABx99NF06NCBjz/+uMQq9oKvBw0aRFJSUqTCFpEaoFJzOs1stJkF9t50zuU45xY65+53zl3knDsS+BXwR+BBvCH2P+FtXSQiIrXQihUrOPnkk5k4cSIHDx6kQYMGjBkzhs8//5x//etfJCcnExsbW6RNbGwsycnJzJs3T72cIvWcHWpftaCNzLLxthZaAbwCvOac+7oc7Y4s/szzusjMugNZWVlZdO/ePdLhiIhUyb59+7jnnnuYNm0a+fneDnLdu3cnPT2dU089tUjdQz17XURqnnXr1tGjRw+AHs65deG6T2WH138FnAFcDNwCpPiH0F8FXnXOrQ/WqD4knCIidcnSpUsZPnw4X33lPecjOjqau+66i/Hjx9OoUaMS9aOjo7UPp4gEVanhdedcvnNusXPuRufc4cDpwGK8p/98bmb/NrP7zKxPKIMVEZHq8fPPP3PDDTcwcODAQMJ58skns3LlSu65556gCaeISFlCsk+ncy7TOXerfzP2fsAbwJ+BFWb2jZlNDcV9REQk/N566y26d+/OrFmzAGjatCnTpk1j+fLl9OzZM8LRiUhtFfLN4Z1znzjnkpxzBc9ifxY97UdEpMbbsWMHV111FYMHD+a///0vAGeeeSaff/45Y8aMISoqKsIRikhtFtYnEjnn1jjn7nbOaTWNiEgN5ZzjhRdeoFu3bjz77LMAtGrVitmzZ/Pee+/RtWvXCEcoInVB2J69DmBmTYCOzrkt4byPiIhUznfffceoUaN44403AmUXXHABM2fO5PDDDy+jpYhIxYT72euDgG/DfA8REakg5xxPPvkk8fHxgYSzQ4cOvPDCC7z++utKOEUk5MLa0ykiIjXP119/zYgRI1i8eHGg7Morr2T69Om0b98+gpGJSF1WqaTTzCaWs2p8Za4vIiKhl5eXx4wZM5gwYQL79u0D4IgjjmDWrFkMGqT1niISXpXt6ZwEOMDKUbfijzwSEZGQysrKIiEhgU8++SRQdv311zNlyhRatWoVwchEpL6o7JzOHUAa0OEQR0IIYhQRkUo6ePAg9957LyeeeGIg4TzmmGNYsmQJM2fOVMIpItWmsj2dq4HjnHM/llXJzH6u5PVFRKSKPvnkExISEsjKygKgQYMGjB07lkmTJtGsWbMIRyci9U1lezrXAr3KUW8voO2SRESq0S+//MLYsWPp169fIOHs2bMnH3/8MVOnTlXCKSIRUdmkczJwyOeqO+fecc4dVcl7iIhIBS1evJiePXvy8MMPk5+fT6NGjUhOTmbFihX07ds30uGJSD1WqeF159weYE+IYxERkUratWsXt99+O08++WSg7LTTTiM9PZ34eG0kIiKRF+7N4UVEJMwWLFhAfHx8IOFs1qwZ06dPZ9myZUo4RaTGqFTSaWafmVmPCtRv4G/TrTL3ExGRkrZv387//d//8cc//pHvv/8egLPOOousrCxGjx5NVFRUhCMUEfmfyq5e7wE0rUB9q0QbEZF6y+fzkZmZSU5ODjExMfTv35/o6GjAe4Tlc889x+jRo/nxR28TkdatW/Pwww9z3XXXYVaeLZRFRKpXVR6DOd/MDlSgvjaJFxE5BJ/PR0pKCqmpqWRnZwfK4+LiGDVqFFdeeSU333wzb731VuDckCFDSE1N5bDDDotEyCIi5VLZpPPvlWy3o5LtRETqPJ/Px5AhQ8jIyCjRW7l161YmTpzI5MmTyc3NBaBjx448/vjjXHLJJerdFJEar7Kr168LdSAiIvVdSkoKGRkZgDeEHkxBwnnNNdfw8MMP065du2qLT0SkKqoyvC4iIiHi8/lITU3FzEpNOAu0bduWtLS0wBxPEZHaQFsmiYjUAJmZmWRnZx8y4QTYuXMnmZmZ1RCViEjoKOkUEakBcnJywlpfRCTSanzSaWYtzWyqmS00s+1m5sxsUgXadzSzuWa2w8x+MbPlZvb7Uuqe5T//i7/+XDPrGLI3IyJSipiYmLDWFxGJtBqfdALtgJFAY2B+RRqaWWPgPeD3wGjgQiAbeMfMzihW9wzgbf/5C/31zwLe819HRCQs9u7dy2uvvVauumZGXFwc/fv3D3NUIiKhVRsWEm0G2jrnnJm1B4ZXoG0C3qb0v3HOLQcws8XAWmAqcGqhug8BG4FLnHO5/rrfApnAMGBmVd+IiEhx//znPxkxYgSbNm0qV33nHImJiVpEJCK1Tsh7Os1suoVwwzjnV8nmFwFfFCSc/uvlAs8Ap5jZ4QD+15OBfxQknP66H+IlohdVNn4RkWB++uknEhIS+MMf/hBIOPv168cZZ3iDMMX/Gy34etCgQSQlJVVrrCIioRCO4fUjgQVm1rygwMy6mFl6GO51KD2Az4KUF5R1L1SPMuqW+px5/5zR7oUPoGtlAxaRum/+/PnEx8czZ84cAJo3b85jjz3GsmXLWLRoEcnJycTGxhZpNufeSwAAIABJREFUExsbS3JyMvPmzVMvp4jUSiEfXnfOXWxmU4BMM0sErgUuA+aG+l7l0A4ItsQzp9D5wq+l1S1r9+VR/9/evYdHVZ19H//eQDiJKBFILLbgw6NFEhUttWrExlMVYxULr4pglUZQSKmg+MQDeCCKgXpAMEAw4LHiOdZqFFHk8TUqYkUgQWgpL6gFojWAooKTsN4/9s44DjmTOST5fa5rrmHWrL33PfeQcLP2XmsDtzYqOhFpVcrKyhg/fjzPPPNMsO03v/kN+fn59OnTB4A2bdowefJksrOza7z3uohIcxSpazofAH4DvAU8AxzpnCurfZOIqe3UfPh7NfWtbR9z8D5jqL7AX+uIS0RaCeccjz32GBMmTGD79u2At8D7fffdx+9///tqb2GZkJBAenp6lCMVEYmcJi86zawAGAY8BMwCbgeOxJsVHm1fUv0oZdVaI+Uh/ailb40L4jnnPgc+D23TPZBFpMonn3zCVVddxauvvhpsGzp0KA888ADJyckxjExEJLoicU3nd8BRzrmJzrmHgN8Bj5nZFRE4Vl3WAEdX017VVhL2XFPfkmraRURqtHfvXvLy8khJSQkWnElJSTz77LM8++yzKjhFpNVp8qLTOTfeObc15PUHwCBgQlMfqx4KgX5mFlwayczaASOB5c65LX6M/wbeB0aaWduQvicCPwfqt4CeiAiwfv16fv3rX/PHP/6RXbt2ATBq1CjWrl3L0KFDYxydiEhsROSaTv+OP92AfwJrnXOfmtkp+7G/wcABwIF+U38zG+b/ucg5960/O/5yoK9zbrP/3kIgC3jGzG7AOw0+Dq+QPDPsMNnAEr/vHKAnkIs3yvlQY2MXkdYjEAhwzz33cNttt7Fnzx4Aevfuzfz58/nNb34T4+hERGIrEtd05gNnA8vx1rfcbWab8ZYeGtHI3c4Feoe8/j/+A+BwYBPQ1n8EL6h0zu3xC+AZwGygM/ARMNg597+hB3DOLTOzc4GpwN+Ab4GXgOudc3saGbeItBIrV64kMzOTlStXAt613ePHj+fOO++kS5cuMY5ORCT2IjHS+X+AVOfcFjPbDvw38ASwrbE7dM71qUefK/CWZwpvL8MbAa3PcZbgjXaKiNTL7t27ycnJYfr06VRWVgLQr18/CgoKdKtKEZEQkZhIVMEPBWYAb+b3lcCACBxLRCRmiouLGTBgANOmTaOyspK2bdty8803s3LlShWcIiJhIlF0/h042f/zRqA/3pJEJ0TgWCIiUbdr1y7+9Kc/MWjQINavXw/A8ccfzwcffMAdd9xBx44dYxyhiEj8icTp9TFA1QVMs/AWTv9/wNoIHEtEJKpee+01xowZw+bN3nzFDh06cPvtt3PdddfRrl2k7rchItL8ReI2mJ+G/PkJM/sCOBb4S1MfS0QkWsrLy7n22mt55JFHgm2DBg2ioKCAI488MoaRiYg0D5GYvf4zvIk7bYH1eLPWlzrnKpv6WCIi0fDcc8+RlZVFWZl3Y7UuXbowffp0rr76atq0icRVSiIiLU8kflsWAccD7YGLgBeBr83sowgcS0QkYrZu3crQoUMZNmxYsOA855xzKC0tZdy4cSo4RUQaIBIXIB0KHOOc21vVYGZdgNQIHEtEpMk553jkkUeYOHEiO3bsACAxMZGZM2cycuRIzKyOPYiISLhI/Df9ceCM0Abn3C7n3HsROJaISJPatGkTZ599NqNGjQoWnBdddBFr167lsssuU8EpItJIkSg6c4FZZpZjZif7o5wiInGtsrKS2bNnk5qaypIl3j0iDj30UAoLC3nqqadISkqKcYQiIs1bJE6vFwLf4N3ffAhwpJl9Cqxyzg2NwPFERPbLxx9/zJVXXsk777wTbMvMzOTuu+/m4IMPjmFkIiItRySKzqOAHs657wHMLAFvgfijI3AsEZE6BQIBiouLKS8vJzExkbS0NBISEggEAsyYMYOpU6fy/fffA3D44Yfz4IMPcsYZZ9SxVxERaYhIFJ0v4RWYfwdwzgWAVf5DRCRqAoEAubm55OXlBWefAyQnJzNkyBDeeecdVq9eDYCZcc0113DHHXdwwAEHxCpkEZEWKxJFZwLwgplNAV5xzpXVtYGISFMLBAIMGTKEoqKifSb/bNu2jXnz5gVf9+/fnwULFnDiiSdGO0wRkVYjEkXn28BXwDjgATP7Gn+k0zmXHYHjiYjsIzc3l6KiIsBbAqkm6enpvPrqq3To0CFaoYmItEqRuA3mrKo/mze88N/AMeiaThGJkkAgQF5eHmZWa8EJsG7dOi3yLiISBRH9Tes8/3TOPeecuy2SxxIRqVJcXExZWVmdBSd4p9qLi4ujEJWISOsW8f/em5muyBeRqCovL49ofxERabgmPb1uZsnAAP9xnP/ct6mPIyJSE+ccq1Y1bLGMxMTECEUjIiJVGl0Mmtl/A7/gx0Vmj6q3gR3ASuBv+xmjiEi9bNmyhaysLF544YV69TczkpKSSEtLi3BkIiLSqKLTzGYBWVUv/edyYBpeofmhc27TfkcnIlIPzjkWLlzIddddx86dOwHo3Lkz3377bZ3bZWVlkZCQEI0wRURatcZe03kF8CYwGOgDzAMS8e489L8qOEUkWjZu3MiZZ57JlVdeGSw4hw8fzj//+U8yMjIA9lmns+p1RkYG2dlayU1EJBoaW3R2Am5zzr3mnPvEOTcOOAc4ASgxs8FNFqGISDUqKyuZOXMmRx99NEuXLgWgV69evPjiizzxxBP85Cc/obCwkJycHJKSkn60bVJSEjk5ORQWFmqUU0QkSqw+S4rss5FZB7wVkb4Paz8ImANcAuQD1znnvmuKQJsTM0sBSkpKSkhJSYl1OCItTmlpKZmZmSxfvjzYNmbMGGbMmMFBBx20T/+a7r0uIiLe79TU1FSAVOdcaaSO06hrOp1ze2po3wmMMLNCYC5whpmNdM6t2I8YRUQA+P7775k+fTo5OTkEAgEA+vbty4MPPshpp51W43YJCQmkp6dHKUoREalORNbpdM49C6QC/wC06rKI7LcVK1YwcOBAbrnlFgKBAG3atGHSpEmsXr261oJTRETiQ6OKTjO7xswOq62Pc67MOfdbYGyjIhMRAb799luuv/56TjzxRNasWQNAamoq7777Ln/+85/p3LlzjCMUEZH6aOxI503AZjNbbmbXm1nfmjo65xY08hgi0sotW7aMY489lrvvvpu9e/eSkJDA7bffzt///ndOOOGEWIcnIiIN0Nii81DgTGAFMAH4h5l9ZGaTzax/k0UnIq3Szp07ufrqqznttNPYsGEDACeccAIffvght9xyC+3bt49xhCIi0lCNKjqdc3udc2865/7onOsFnIq3bueVwBoz+9jM7jCz45oyWBFp+V5++WVSUlLIz88HoFOnTtx777288847VbMrRUSkGWqSiUTOuWLn3ETnXB/gJOBF4GLg72a20cxmNMVxRKTl+uKLLxgxYgTnnXce//73vwE4/fTTWbNmDRMnTqRt27YxjlBERPZHk89ed86975zLds4dARwP/AXIaOz+zKyLmc00sy1mtts/jX9JPbZbZmaulkdyPfq+2ti4RaR+nHMsWrSI/v3788QTTwDQtWtXHnzwQV5//XX69q3xknEREWlGGrVOZwOsAx50zk3Zj308D/wSuAFvCaZLgUVm1sY590Qt240Duoa1dQZeBf7unNsW9t5GYERY245GRy0idfrss88YO3YsL730UrDt/PPPZ86cOfTq1SuGkYmISFOLdNGZATwNNOq8mJmdC5wFXOqcW+Q3v2lmvYE/m9lTzrnK6rZ1zq2tZn+XAwlAQTWbfOece68xcYpIw+zdu5eCggKuv/56vvrqKwB69OjB7Nmzueiii/a5V7qIiDR/EVkcvgldCOwCnglrfwj4CfCrBu4v09/fU/sfmog0xoYNGzjjjDO46qqrggXnyJEjWbt2LRdffLEKThGRFqpRI51mdks9u+7v8kmpwMfOuYqw9tUh779Tnx2Z2RHAIKDAObermi59zawc75T8ZuBJ4I667h1vZj2BHuH7qk9MIq1JZWUlM2fOZMqUKXz3nfdjddhhh5Gfn8+5554b4+hERCTSGnt6/TbAAfUZknCNPAbAIXjXWoYrD3m/vjL95+oWq38bb/RzHdAJGAz8D3CKmZ3mnNtby37HAbc2IA6RVmfNmjVkZmayYsWKYNvYsWPJzc2la9fwS69FRKQlamzR+R+gEO/ORLU5n+qvn2yI2orWehW0ZtYOuBwore66Tefc5LCmIjPbBNwNXID3WWsyh31P//cF/lqf2ERasj179jBt2jSmTZtGRYV3wuKII46goKCAU089NcbRiYhINDW26FwJHOmc+7K2Tmb2VSP3X+VLqh/NTPSfy6t5rzrnAsnA9AYc+3G8ovNEaik6nXOfA5+HtumaNBFYvnw5mZmZlJaWAtCmTRsmTZrEbbfdRqdOnWIcnYiIRFtjJxKtAo6tR79vgE8aeQyANcBR/khlqKP955J67icT+B54rBEx1HZqXUTCfPPNN1x77bWcdNJJwYLzmGOOYfny5UyfPl0Fp4hIK9XYonMqUOctLp1zrzrnDm/kMcAbYewCDA1rvxzYAiyvawf+IvDnAi/UNTJbzTEAtIySSD0tXbqUY445hvvuuw/nHO3btycnJ4cPPviAgQMHxjo8ERGJoUadXvdnf1c3A7xJOedeMbMlwFwz6wpsAIYD5wAjq9boNLMFeEViX+fc5rDdXI73Oau9ttTMBgE34xW4G4GOeBOJxgBLgb819ecSaa4CgQDFxcWUl5eTmJhIWloaCQkJ7Nixg+uvv56Cgh9+zE466SQKCgro339/F7EQEZGWINKLwzeF3wF34o2uJuLNMB/unHsypE9b/1HdxZR/ADYBr9ew/61AJTAF6I43OemfwC3APXXMXBdpFQKBALm5ueTl5VFWVhZsT05O5rTTTmPZsmVs3boVgM6dO3PXXXeRlZWl+6WLiEiQObc/KxpJdcwsBSgpKSkhJSUl1uGI7JdAIMCQIUMoKirCzKjtd8aZZ57J/PnzOfzw/bmqRkREoqm0tJTU1FSAVOdcaaSO0xxGOkUkhnJzcykqKgKoteC88MILee6557R6g4iIVCveb4MpIjEUCATIy8urVyH57rvvBtfiFBERCaeiU0RqVFxcTFlZWa0jnFW2bdtGcXFxFKISEZHmSEWniNSovLy+919oXH8REWk9VHSKSLUqKipYvHhxg7ZJTEysu5OIiLRKmkgkIvtYtWoVf/jDH/jwww/r1d/MSEpKIi0tLcKRiYhIc6WRThEJ2rNnD1OmTGHgwIHBgrN79+51buecIysri4SEhEiHKCIizZSKThEBvNnnxx13HHfccQcVFRW0bduWG2+8kY0bN5KRkQGwzyz2qtcZGRlkZ2dHPWYREWk+VHSKtHK7du1iwoQJpKWl8fHHHwMwYMAA3n//faZNm8aBBx5IYWEhOTk5JCUl/WjbpKQkcnJyKCws1CiniIjUSnckigDdkUiaiyVLljBmzBg2bdoEQIcOHbj11luZNGlStUVkTfdeFxGR5kt3JBKRiNm+fTuTJk1i4cKFwba0tDQKCgro169fjdslJCSQnp4ehQhFRKSl0el1kVamsLCQ/v37BwvOAw44gNmzZ/PWW2/VWnCKiIjsD410irQS27ZtY/z48Tz77LPBtrPPPpv8/Hx69+4dw8hERKQ10EinSAvnnOPRRx+lf//+wYKzW7duPPzww7zyyisqOEVEJCo00inSgm3evJmrrrrqR3cWGjZsGLNnzyY5OTmGkYmISGujkU6RFmjv3r3k5eWRmpoaLDiTkpJ47rnneOaZZ1RwiohI1GmkU6SFWb9+PVdeeSVvv/12sG3UqFHcc889dOvWLYaRiYhIa6aRTpEWIhAIkJuby7HHHhssOPv06cNrr73GwoULVXCKiEhMaaRTpAVYuXIlmZmZrFy5EvBuTzl+/HjuvPNOunTpEuPoREREVHSKNGu7d+9m6tSpzJgxg8rKSgD69evHggULOPnkk2McnYiIyA9UdIo0U8XFxWRmZrJ+/XoA2rVrR3Z2NpMnT6Zjx44xjk5EROTHVHSKNDNff/01N910E3l5eTjnADj++ONZsGABAwYMiHF0IiIi1dNEIpFmZPHixaSmpvLAAw/gnKNDhw7k5uayfPlyFZwiIhLXNNIp0gyUl5dz7bXX8sgjjwTbBg0aREFBAUceeWQMIxMREakfjXSKxLnnnnuO/v37BwvOLl26MGfOHJYtW6aCU0REmg2NdIrEqa1bt/LHP/6R559/Ptg2ePBg5s2bx89+9rMYRiYiItJwKjpFYiAQCFBcXEx5eTmJiYmkpaWRkJAAgHOOhx9+mGuvvZYdO3YAkJiYyP3338+IESMws1iGLiIi0igqOkWiqOquQXl5eZSVlQXbk5OTGTduHJdccglZWVksWbIk+N5FF13E7Nmz6dmzZyxCFhERaRJWteSKNB0zSwFKSkpKSElJiXU4EicCgQBDhgyhqKgIM6O6n722bdsGF3k/9NBDmTNnDkOGDIl2qCIi0oqUlpaSmpoKkOqcK43UcTSRSCRKcnNzKSoqAqi24ASCBWdmZiZr165VwSkiIi1G3BedZtbFzGaa2RYz221mH5nZJfXY7gozczU8kqvpf4m/793+sWaamW5aLU0iEAiQl5dXr+sxu3Xrxty5czn44IOjEJmIiEh0xH3RCTwPXA7cDgwGVgCLzOzSem4/Cjgp7PFlaAczGwEs8vc92D/WFf6xRfZbcXExZWVlNY5whtq+fTvFxcVRiEpERCR64noikZmdC5wFXOqcW+Q3v2lmvYE/m9lTzrnKOnZT4pz7oJZjtAX+DLzmnBsdcoyvgb+Y2WDn3Cv7+VGklSsvL49ofxERkXgX7yOdFwK7gGfC2h8CfgL8qgmOcSJwqL/PUM/4x76wCY4hrVxiYmJE+4uIiMS7eC86U4GPnXMVYe2rQ96vy0tmVmlm5Wb2vJmFb1P1enVoo3MuAKyr6xhm1tPMUkIfQN96xCWtxFdffcVTTz1Vr75mRnJyMmlpaRGOSkREJLri+vQ6cAiwsZr28pD3a7INuBN4D/gKOBq4AXjPzNKcc6vC9lHd+cxyoE8dMY4Dbq2jj7RSr7zyCldddRWffvppvfo758jKygouFC8iItJSxHvRCVDbzIsa33POvQq8GtL0lpm9DKwBpgIX1HNfdc38mMO+p//7An+tYztpwb788ksmTpzIY489Fmw79dRTadOmDcuWLdtnnc6q1xkZGWRnZ8ciZBERkYiK99PrX1L9aGbVBW8Nmm3hnNsEvI13HWfoMajlOLUewzn3uXOuNPQB/KshcUnL4Zzj6aef5qijjgoWnAceeCDz5s3jzTff5LXXXiMnJ4ekpKQfbZeUlEROTg6FhYUa5RQRkRYp3kc61wDDzaxd2HWdR/vPJY3YpwF7w45Rtc+1wU5m7YB+eEspidRpy5YtZGVl8cILLwTbMjIymDdvHocddhgAbdq0YfLkyWRnZ9d473UREZGWKN6LzkJgNDAUCJ2JcTmwBVjekJ2Z2eFAGvB6SPNyYCveupyhxxgGdEFrdUodnHMsXLiQ6667jp07dwLQvXt3Zs2axSWXXFLtgvAJCQmkp6dHOVIREZHYieui0zn3ipktAeaaWVdgAzAcOAcYWbVGp5ktwCtE+zrnNvttrwNv4c1Kr5pI9D9412hOCTlGpZn9D/CYmeXjjWweAcwAlvjXhopUa+PGjYwZM4Y33ngj2DZ8+HDuv/9+evToEcPIRERE4ktcF52+3+HNQp+Kd43lOmC4c+7JkD5t/UfokNIa4GJgEtAJ+BxYCuQ45/4RegDn3ONmVok3u/0KvOs4HwVujsDnkRagsrKS2bNnc/PNN/Ptt98C0KtXL+bOnctvf/vbGEcnIiISf6w+t+WThvHX6iwpKSkhJSUl1uFIEystLSUzM5Ply3+4umPMmDHMmDGDgw46KIaRiYiINFxpaSmpqakAqf6E6IiI99nrInHj+++/Jycnh+OOOy5YcPbt25elS5eSn5+vglNERKQWzeH0ukjMrVixgszMTNas8RY7aNOmDRMnTmTq1Kl07tw5xtGJiIjEPxWdIrX49ttvufXWW7n33nvZu9dbaSs1NZUFCxZwwgknxDg6ERGR5kNFp0gNli1bxujRo9mwYQPgLXM0efJkbrjhBtq3bx/j6ERERJoXFZ0iYXbu3El2djb5+fnBthNOOIEFCxZUXWgtIiIiDaSJRCIhXn75ZVJSUoIFZ6dOnbj33nt55513VHCKiIjsB410igBffPEFEyZM4Iknngi2nX766cyfP5++ffvGMDIREZGWQSOd0qo551i0aBH9+/cPFpxdu3blwQcf5PXXX1fBKSIi0kQ00imt1meffcbYsWN56aWXgm3nn38+c+bMoVevXjGMTEREpOXRSKe0Onv37mX+/PmkpKQEC84ePXrw5JNP8sILL6jgFBERiQCNdEqrsmHDBkaPHs2yZcuCbSNHjuS+++6je/fusQtMRESkhdNIp7QKlZWV3HPPPRxzzDHBgvOwww7j5Zdf5rHHHlPBKSIiEmEa6ZQWb82aNWRmZrJixYpg29ixY8nNzaVr164xjExERKT1UNEpLdaePXuYNm0a06ZNo6KiAoAjjjiCgoICTj311BhHJyIi0rqo6JQWafny5WRmZlJaWgpAmzZtmDRpErfddhudOnWKcXQiIiKtj4pOaVG++eYbpkyZwsyZM3HOAXDMMcewYMECBg4cGOPoREREWi8VndKsBAIBiouLKS8vJzExkbS0NBISEgBYunQpo0ePZuPGjQC0b9+eKVOmkJ2dHewjIiIisaGiU5qFQCBAbm4ueXl5lJWVBduTk5MZNWoUZWVlLFy4MNh+0kknUVBQQP/+/WMRroiIiIRR0SlxLxAIMGTIEIqKijCzH723bds27rrrruDrzp07c9ddd5GVlUXbtm2jHaqIiIjUQEWnxL3c3FyKiooAgtdpVqdv374sWbKEww8/PFqhiYiISD1pcXiJa4FAgLy8vH1GOKuza9cuDjvssChEJSIiIg2lolPiWnFxMWVlZbWOcFYpKyujuLg4ClGJiIhIQ6nolLhWXl4e0f4iIiISHSo6Ja598803DeqfmJgYoUhERERkf6jolLhUUVHBjBkzGDNmTL36mxnJycmkpaVFODIRERFpDM1el7izatUq/vCHP/Dhhx/WexvnHFlZWVoEXkREJE5ppFPixp49e5gyZQoDBw4MFpw///nPefPNN8nIyADYZxZ71euMjAyys7OjG7CIiIjUm4pOiQvvvvsuxx13HHfccQcVFRW0bduWG2+8kY8++oj09HQKCwvJyckhKSnpR9slJSWRk5NDYWGhRjlFRETimNVnKRppGDNLAUpKSkpISUmJdThxbdeuXUyePJlZs2YFl0UaMGAACxcu5Ljjjtunf233XhcREZGGKy0tJTU1FSDVOVcaqePomk6JmSVLljBmzBg2bdoEQIcOHbj11luZNGlSjYVkQkIC6enp0QtSREREmoSKTom67du3c9111/HQQw8F29LS0igoKKBfv34xjExEREQiJe6v6TSzLmY208y2mNluM/vIzC6px3a/M7NFZrbBzL4zs01m9hczO6KavsvMzFXzeDUyn6r1KiwspH///sGC84ADDmD27Nm89dZbKjhFRERasOYw0vk88EvgBuAfwKXAIjNr45x7opbtsoFtwJ3ARuCnwE3Ah2Z2YjXXLGwERoS17WiC+AXYtm0b48eP59lnnw22nX322eTn59O7d+8YRiYiIiLRENdFp5mdC5wFXOqcW+Q3v2lmvYE/m9lTzrnKGjb/rXPu87D9LQU2AROBK8P6f+ece6/pohfw1s987LHHmDBhAtu3bwegW7duzJw5k8suu2yfJZBERESkZYr30+sXAruAZ8LaHwJ+Avyqpg3DC06/bQvwGd6op0TY5s2bGTx4MJdffnmw4Bw2bBgff/wxv//971VwioiItCLxXnSmAh875yrC2leHvF9vZvZfQG+guuUA+ppZuZlVmNm/zOxOM+tUj332NLOU0AfQtyFxtTR79+7lgQceICUlhcWLFwOQnJzMc889xzPPPLPPWpsiIiLS8sX16XXgELxrLcOVh7xfL2bWDliAN3J6X9jbbwNPAeuATsBg4H+AU8zsNOfc3lp2PQ64tb5xtHTr168nMzOT4uLiYNuoUaO455576NatWwwjExERkViK96IToLbV6+u1sr1553EXAIOAoc65T3+0E+cmh21SZGabgLuBC4DCWnY/h31P//cF/lqf2FqKQCDA3Xffze23386ePXsA6NOnD/Pnz+ess86KcXQiIiISa/FedH5J9aOZif5zeTXv/YhfcBYAI4HLnXP1LQYfxys6T6SWotO/djR8wlI9D9EyrFy5kszMTFauXAl4n3/8+PHceeeddOnSJcbRiYiISDyI92s61wBH+afGQx3tP5fUtnFIwTkKuNI593gjYqjt1Hqrtnv3bm666SZ++ctfBgvOfv368fbbb3P//fer4BQREZGgeC86C4EuwNCw9suBLcDymjb0C84H8QrOq5xzD9XUtwaX+89aRqkab7/9NgMGDOCuu+6isrKSdu3aMXnyZD766CNOPvnkWIcnIiIicSauT687514xsyXAXDPrCmwAhgPnACOr1ug0swV4RWJf59xmf/NZQCawEFhjZieG7HqPc26lv+0g4Ga8Ancj0BFvItEYYCnwt8h+yubl66+/5sYbbyQvLy/Y9otf/IIFCxZw7LHHxjAyERERiWdxXXT6fod3V6GpeNdyrgOGO+eeDOnT1n+EXkz5W//5D/4j1Gagj//nrUAlMAXojjc56Z/ALcA9dcxcb1UWL17MmDFj+OSTTwDo2LEjt99+O9deey3t2jWHv0rgYc+PAAARCklEQVQiIiISK3FfKTjndgHX+I+a+lwBXBHW1qee+98AZDQ6wFagvLyciRMn8uijjwbbBg0aREFBAUceeWQMIxMREZHmIt6v6ZQYe/bZZznqqKOCBeeBBx7InDlzWLZsmQpOERERqbe4H+mU2Ni6dStZWVkUFv6wWtTgwYPJz8/npz/VXURFRESkYVR0tlKBQIDi4mLKy8tJTEwkLS2NhIQEnHM8/PDDXHvttezYsQOAQw45hPvvv59LL7201a1BKiIiIk1DRWcrEwgEyM3NJS8vj7KysmB7cnIyw4cPZ/Xq1bzxxhvB9osvvphZs2bRs2fPWIQrIiIiLYSKzlYkEAgwZMgQioqK9hmx3LZtG/fd98Mt6Q899FDmzp3LBRdcEO0wRUREpAVS0dmK5ObmUlRUBIBzNd+2fuDAgSxZsoSDDz44WqGJiIhIC6fZ661EIBAgLy+vXtdkfvbZZxxwwAFRiEpERERaCxWdrURxcTFlZWW1jnBW2bZtG8XFxVGISkRERFoLFZ2tRHl5eUT7i4iIiNRGRWcr8emnnzaof2JiYoQiERERkdZIRWcL99VXXzFu3DgmTJhQr/5mRnJyMmlpaRGOTERERFoTzV5vwYqKirj66quDo5wJCQkEAoFat3HOkZWVRUJCQjRCFBERkVZCI50t0H/+8x8uu+wyMjIyggVneno6q1atIiMjA2CfWexVrzMyMsjOzo5uwCIiItLiqehsQZxzPPXUU/Tv35/HH38cgK5du5Kfn88bb7zBUUcdRWFhITk5OSQlJf1o26SkJHJycigsLNQop4iIiDQ5q88SOtIwZpYClJSUlJCSkhKVY27ZsoWxY8fy4osvBtvOO+885s6dy2GHHbZP/5ruvS4iIiKtS2lpKampqQCpzrnSSB1H13Q2c845FixYwKRJk9i5cycA3bt3Z/bs2Vx88cU1LgafkJBAenp6FCMVERGR1kxFZzO2ceNGRo8ezdKlS4Ntl156Kffffz/du3ePYWQiIiIiP6aiM47VdAq8srKSWbNmcfPNN/Pdd98B0KtXL+bNm8d5550X46hFRERE9qWiMw4FAgFyc3PJy8ujrKws2J6cnMzQoUNZsWIF77//frD9qquuYvr06Rx00EGxCFdERESkTio640wgEGDIkCEUFRXtcz3mtm3byMvLC77u27cvBQUFujZTRERE4p6KzjiTm5tLUVER4E0Sqskpp5zC4sWL6dy5c7RCExEREWk0rdMZRwKBAHl5eTXOOA+1YcMGLXEkIiIizYaKzjhSXFxMWVlZrSOcVbZt20ZxcXEUohIRERHZfyo640h5eXlE+4uIiIjEiorOOLJu3boG9U9MTIxQJCIiIiJNSxOJ4sAXX3zBNddcw6JFi+rV38xISkoiLS0twpGJiIiINA2NdMaQc44nnniCo446KlhwduzYsV7bZWVlaSKRiIiINBsqOmPks88+4/zzz2fEiBF8+eWXAFxwwQWsW7eOjIwMgH1msVe9zsjIIDs7O7oBi4iIiOwHFZ1RtnfvXvLz8+nfvz8vvfQSAD179uTpp5+msLCQ3r17U1hYSE5ODklJST/aNikpiZycHAoLCzXKKSIiIs2K1Wd5HmkYM0sBSkpKSkhJSQm2b9iwgdGjR7Ns2bJg22WXXcZ9993HIYccss9+arr3uoiIiEhTKS0tJTU1FSDVOVcaqeNoIlEUVFRUMHPmTKZMmcLu3bsB+OlPf0p+fj6DBw+ucbuEhATd4lJERERaBBWdEbZ69WoyMzP54IMPgm1ZWVncddddHHjggTGMTERERCR6VHRG0AMPPEBBQQEVFRUAHHHEESxYsIBBgwbFODIRERGR6NJEogiaN28eFRUVtG3blhtuuIFVq1ap4BQREZFWSSOdkdG+6g8///nPmTp1KikpKWzcuDGWMYmIiIjsY8OGDVV/bF9bv/2l2esRYGaXAY/GOg4RERGRBrjAOfdipHaukc7I+If/PAxo2A3VpTH6An8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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "x = data[T]\n",
    "y = 1/data[L]\n",
    "p = np.polyfit(x, y, 1)\n",
    "x_fit = np.linspace(0, 1.05*x.max(), 10)\n",
    "y_fit = np.polyval(p, x_fit)\n",
    "plt.figure(dpi=120)\n",
    "plt.plot(x, y, 'ok')\n",
    "plt.plot(x_fit, y_fit, 'k', label=r'$1/\\lambda_{max}=%0.4g T$ $[1/m]$' % (1e6*p[0]))\n",
    "plt.legend()\n",
    "plt.xlabel(T)\n",
    "plt.ylabel(r'$1/\\lambda_{max}$ $[1/\\mu m]$')\n",
    "plt.axis([min(x_fit), max(x_fit), min(y_fit), max(y_fit)])\n",
    "_ = plt.title(r'$b = %0.4g \\times 10^{-3} [mK]$' % (1e-3/p[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4. Ley de Stefan-Boltzmann\n",
    "Esta ley establece que la intensidad $I$, es decir, el área bajo la curva de densidad de potencia espectral $I(T) = \\int{E(\\lambda, T)d\\lambda}$, es proporcional a la cuarta potencia de la temperatura, $$ I(T)=\\sigma T^4$$\n",
    "\n",
    "Donde $\\sigma = 5.67\\times 10^{-8} [W/m^2K^4]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "x = data[T]**4\n",
    "y = data[I]\n",
    "p = np.polyfit(x, y, 1)\n",
    "x_fit = np.linspace(0, 1.05*x.max(), 10)\n",
    "y_fit = np.polyval(p, x_fit)\n",
    "plt.figure(dpi=120)\n",
    "plt.plot(x, y, 'ok')\n",
    "plt.plot(x_fit, y_fit, 'k', label=r'$I=%0.4g T^4$ $[\\times 10^{-8}W/m^{2}]$' % (1e8*p[0]))\n",
    "plt.legend()\n",
    "plt.xlabel(r'$T^4 [K^4]$')\n",
    "plt.ylabel(I)\n",
    "plt.axis([min(x_fit), max(x_fit), min(y_fit), max(y_fit)])\n",
    "_ = plt.title(r'$\\sigma = %0.3g \\times 10^{-8} [Wm^{-2}K^{-4}]$' % (1e8*p[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "End!"
   ]
  }
 ]
}