Matplotlib_plots/7-Customizing_legends.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "source": [
    "import matplotlib.pyplot as plt\r\n",
    "plt.style.use('classic')"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "source": [
    "%matplotlib inline\r\n",
    "import numpy as np"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "source": [
    "x = np.linspace(0, 10, 1000)\r\n",
    "fig, ax = plt.subplots()\r\n",
    "ax.plot(x, np.sin(x), '-b', label='Sine')\r\n",
    "ax.plot(x, np.cos(x), '--r', label='Cosine')\r\n",
    "ax.axis('equal')\r\n",
    "leg = ax.legend();"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "source": [
    "ax.legend(loc='upper left', frameon=False)\r\n",
    "fig"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"251.278125pt\" version=\"1.1\" viewBox=\"0 0 374.304688 251.278125\" width=\"374.304688pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <metadata>\r\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\r\n   <cc:Work>\r\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\r\n    <dc:date>2021-08-20T10:33:26.770665</dc:date>\r\n    <dc:format>image/svg+xml</dc:format>\r\n    <dc:creator>\r\n     <cc:Agent>\r\n      <dc:title>Matplotlib v3.3.4, https://matplotlib.org/</dc:title>\r\n     </cc:Agent>\r\n    </dc:creator>\r\n   </cc:Work>\r\n  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Hf8OPtwxB+S3f4Jep76Hl4BsDdq1g+eoroE8foGtXHRcoUcLpiOiSduwATp/Oe5JRmPn8c+Chh4AHHtBxIG/mcoSSw4eBv/1N6+zffVcnHYYTb+rYrUjsO3boXKaYGGDe3fNRrvRZ/YEFjhzRuSspKfqkbNjQ6YjIVmfOACNH6ljq7Nk6ucgWIjp5asQILVLo3z98liookon9k090yYxRo4Anngif/yxPiOgL7amngP/7P23FE/lTWhrQo4c2jt5886KZoqtX69z/li0di89fNm/WNt/11wMzZwIlSzodUcG8SezhUe6YB7cbiI8HHn0UWLgQGDLEzqQO6P3q1w9YsULvc1wckJ3tcFBF1dGjwOTJhSoPDBdr1gDNm+tSGgsW5DH9/8QJXR9g5kwnwvOr2Fjgm2+0TLJVK2DnTqcjCoywTOxHj+rzbPly4LvvCtmQSE8PeFyB1rChLiuydauu8XTwoNMRFTE//aQZ8OefdVJEmBMBXnlFW+ozZ+qn3jyXk7ntNm21T5oEPP542LcqSpQA3n5ba95btgS++MLpiPwv7BL7jh06SaJGDU3shVoIKCtL355ffDHsW1rly2v3U5s2mmM2bnQ6oiJi5UpdGe7pp4FXXw37ldyys3VA8fXXga+/1tydr7p1gXXr9AXYubMuxRjGjNGu2/fe0wXFXnrJ6Yj8zNMyGm9v8EO549df6yJa06Z58cd79uic4wceCO6iFgE0b56WHi9d6nQklnvjDV3hypL56keOiHTqJHLbbSLHjnn4xzk5Ik8/LbJ8eUBic8KuXbpO2hNPhGalKmwud/zgA2DQIB1E7NrVy5OcOqVLmJ44oWuLlivndTyhYvVqXcb02Wd1pJ/8LCcH6NsXGD1aW61hbs8eXZ2jbVvg5Zd1TJS0+qxHD13yft680No/wcqqGBHt2vv3v7ULokkTHwM5e1b7CZOTtVDcghHXrVv1xfrnP2spV4CX3aYw9cMPumfHk08Cf/+7FU99vzpzBhgwQEuLExJCZ7136xK7261PwhUrgMWL/bjnhoj2FV57rZ9O6LyMDB1QvvZardcN8y5g8rOVK4G//AWYPh245x6nowldIvrpd9YsnagVCinCqnLHnByd/fbdd7oTkV83UjImNP7H/CgmBli2TPeS7NGDq0TSBQsWaFKfPz+ASf2LL4AxY8K+OMEY7XUbPly349uwwemIvBOSif30aU1OGRn6rhkd7XRE4aFkSX0Rly6tVQ6/33SbCmH3bu2mc7udjsRv3npL53osWQK4XAG8UJMm2lc6ZIgVj9+AAToZsFMn7bENNyGX2I8d06R0LkkFdWbYgQNBvFhgFCum+7fWrw906KBvjlQImzZpDem111ozSDFlik5oW7kSuDHQSyfFxOiF1q/Xj9oW1Pn37Kn17t27h/7S+hcLqWdwRgZwyy06O+ydd4K8+NDJk8BNN+mFw9xll+nEk9tv11y1d6/TEYW4lBTdbXzCBG1xhjkR4J//BGbM0KqpevWCdOFy5XQT7fR0zYpZWUG6cOB07qwz2/v21Zr3sOFpfaS3NxRQx/7LL1pLOnKkg3sXpqaKVKsm8uqrDgXgf5Mni9SqJbJzp9ORhKjkZJ0cMW+e05H4hduta6c3bapL7zoiK0vni3z/vUMB+N/Gjbq/w6xZwb82wnU99rQ0XRB/7Fh/PAw+2rFDpHZtkUmTnI7Eb155RXe/2b7d6UhC0P3366aZFnC7dd3xG28UOXzY6Wjss3mzbvvwn/8E97reJHbHpyfs36/dL3376pKhjqtdG/jySw3KGGDoUKcj8tljj2n5o8ullTMWzLPxnzlzrCjoFtFx36Qk/T9mwYH/1aunwwgdO+qSDI8+6nREl+ZoYt+3Twf4HnlEl+AIGdWqAYmJOk3PEgMGaHK/5RatTAu3zQYCxoKk7nbrm3dyslaRWTChOmTVqaOp4ZZbdEJTqA7JOJbY9+zRpD5oUIg2iqtW1ZtFHnpIk3vHjjrG1aiR0xGRr9xu3YglNVX/T8uWdTqifCxdqgUK5cs7HYlPfv+hPjsb+Mc/nI7ojxypitm1S7sFnngiRJO6xfr0AaZO1frcH35wOpog27BBJ0lYwu3W9YE2b9ZyvJBO6oD2Ed16q+5VF+Zq1NDkPmMGMHGi09H8kV8SuzGmizHmJ2PMdmPM8PyO/flnTepDh4buxxjb/eUvwLRpOl8gKcnpaIJk9WpdxD5cpxJe5OxZXU98xw6dfFSmjNMRFcKLL2ozt2PHsF/2F7jQYztnDjB2rNPRXMTT0daLbwAiAOwAUBtAMQAbAFyfx3GybZtWZ7z2WsAHkgNj0SKRESMcrMf0r4ULddnftWudjiTAVq4UqVhR5IsvnI7EL3JyRPr0EenQQeTECaej8ZDbrcv+NmrkYD2mf/3yi0j9+iLPPBOY1AAnyh0BtASw9HffjwAwIo/jpFo1kRkz/H/Hg+bQIZEmTUT+8Q9rkntCgib3r75yOpIAWbZMk7ola6lnZ4v07i1y660iJ086HY2X3G6RUaNEWra05nWUni7SsGFg2n3eJHZ/dMVcBeD3cxv35f7sD8aODfM1w6+4QrdtWrFC+5IkvBc8AnR26ttvA3ffrXtfWuXbb4FevXTt/Q4dnI7GZ9nZwP33ay/GokXhsRFznozRJRTffdeKqiQAqFTpwiq0Tz/tfGoIalXMnj3xiI/Xr10uF1wBXZUoQCpU0EGgTp10V+mpU8P+ydmlCzB3rq6J8eGHuqqdFRo10tpOnxfxd152NtC7t+4Vs3AhcPnlTkfkI2N0BNIiFStqcv/Tn7RS5l//8i41JCYmIjEx0adYfF6P3RjTEkC8iHTO/X4EAIjIcxcdJ75eK6QcOaKtwddeA2rVcjoav1ixQgdW339fx7goNJw5o/8vOTn6xlu8uNMRUX5++03bfa1a+afd58hGG8aYSABbAXQEsB9AEoD7RCT1ouPsSuyW+vJL3Ylp3jxteZCzsrJ068PLLtM3XOuTelaWFXfyyBFdQKxZM939zZcFQx3ZaENEcgAMBrAUwGYA8y9O6hQ+2rcHPv5Y+3LDbalSxzs2/ez0ad0YIzJSN8mwIN/lb8sWoGFDK2Z8R0frLOD163USZrCXqPdLHbuILBaR60TkGhGZ4I9zknPattW18B98UAeDwsL77+u7kSVOn9Yxj5Il9a4FdQlrp9Srp1nQ5dJZjGHu3CrGqanA3/4W3OQeUuuxW+HLL3X2SJhr1Uo3xOnXT/8Nae+8o7szjxjhdCR+kZmpm05HR2vhSJHavzYuTv8vXS6dzRjmypTRCWRbtwIPPxy81BDSm1mHHbdbp3PGxOhuuJGOL57ps6QkoFs33QS5e3eno8nDW2/prhKWrGx26hRwxx1AlSrWPIW8M20a8MILOqJ/zTVOR+Ozkyf1/7VaNX3KRkQU/m8dGTwt9IWKQmIHtLl1111a8z5njhWvzO+/B7p2BV59VQdWQ8aMGVoPvXw5cN11Tkfjs5Mn9U306quBN9/07MVvpTfe0JLV5s2djsQvTp3S1FCpEjB7duFTAxN7qMjM1FGvMmW0QNyCz9LJyVrv/tJLWnrnOBFdq3boUCtadMePa1K/5hrgP/9hUrdVZqZOBoyO1h7EwqQGJvZQcvo00KMHULmytjwssHGjlnBNngzcd5/T0djj11+1B69pU50WYcle2nQJ56qdSpYs3BgKE3uoycoCdu4M4m7CgZeSopMvXngBeOABp6MJfwcO6OPZtSvw/PNhP4mZCikrS7s1o6J0k+z8qp4cqWOnfBQvblVSB4AGDbRLe8QIbV2S93bu1NLS++5jUi+0t9/W/enCXPHiuoQRoIOqJ0749/xM7OSx2Fhg1Srtkhk7NgjzgrKzgfHj/f/sd9DmzUC7dheqNJnUC6l6dR3kWbjQ6Uh8VqyYTjyrXl2XqD90yH/nZmJ3wvHjTkfgs9q1ga++0olMgwcHsD43M1PHKr75xprO5++/17V4Jk7U8V/yQIcOOmtu4EAtLQlzkZE6WN6hg35689ekWzteKeHkp5+03vrHH52OxGdXXqk7yGzapN0JWVl+vsCRI1qKU6aMvoOE7Tq1FyxZogOl06dzjMJrzZppd8zo0cCUKU5H4zNjtCvukUc0uW/e7Ps5mdiDrW5dYNIk/ez1xRdOR+OzcuU0WeXkaLnesWN+OvGuXUDr1loqMmeOFSWjM2fqdnYLF2o9M/mgXj3d7vCjj4D0dKej8YuhQ3VaRocO+gHVF6yKccrq1bps34QJOtc4zJ09q5uTf/klkJAA1Kzp4wnj4nQ5ZAs2xhUBxozRFTOXLAHq1HE6IouIWDdAsXgx0LevTr69916WO4afrVu1zu3RR/XtOsyJAC+/rKWQH38MtGjh48kseMFmZQEDBujChZ98orMOiQqSnKzVMoMHA8OHM7GHn4wMHQ6PjXU6Er9JSAAeekjXoe7Vy+lonHPggE5EueoqHecrVcrpiCic7Nuni8GtX8/ETiFiwwZtcfTrp90QRW2KfFKSJvUBA3SNMgs+fISPadOA8uV1L8Ewl5MDREVxghKFiMaNdS/pVat0w+xff73EgTt3al3yqVNBjS+Q3nlH7/MrrwDPPMOkHnStW+u76dChmhnDmLdrCDKxh6qlS4O/7YqfVa6s+343agTceKO2Yv/HZ58BLVsCbdoAJUo4EqM/ZWZqC33cOF1tlpUvDmncWJ9s59a/OHjQ6YiCjok9FGVmat1T587aURvGIiOBF1/UcuNzrVg5nQU8+aRmwfnzgccfD/tm7ebNwE036dK733+vSy+QgypU0PKS1q2BJk10Nl0RwsQeikqU0Jk/5+q4Q34Lo4Ldc4++tj586zh2VGqJzC27dOi/XTunQ/OJiC7e2a6dVmi+847Op6IQEBGhDaR583QEuwjh4GmoW7MG6NNHZ2BOmhT2WSM7G5j78Ao8/VkHTHvNoEcPpyPy3r59QP/+Oj/m7bfZSqfA4OqONmrTRlu20dFh310B6ATSfm/fgoWLDEa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     },
     "metadata": {},
     "execution_count": 4
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "source": [
    "ax.legend(frameon=False, loc='lower center', ncol=2)\r\n",
    "fig"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"251.278125pt\" version=\"1.1\" viewBox=\"0 0 374.304688 251.278125\" width=\"374.304688pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <metadata>\r\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\r\n   <cc:Work>\r\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\r\n    <dc:date>2021-08-20T10:33:29.433918</dc:date>\r\n    <dc:format>image/svg+xml</dc:format>\r\n    <dc:creator>\r\n     <cc:Agent>\r\n      <dc:title>Matplotlib v3.3.4, https://matplotlib.org/</dc:title>\r\n     </cc:Agent>\r\n    </dc:creator>\r\n   </cc:Work>\r\n  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     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "source": [
    "ax.legend(fancybox=True, framealpha=1, shadow=True, borderpad=1)\r\n",
    "fig"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"251.278125pt\" version=\"1.1\" viewBox=\"0 0 374.304688 251.278125\" width=\"374.304688pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <metadata>\r\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\r\n   <cc:Work>\r\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\r\n    <dc:date>2021-08-20T10:33:31.904802</dc:date>\r\n    <dc:format>image/svg+xml</dc:format>\r\n    <dc:creator>\r\n     <cc:Agent>\r\n      <dc:title>Matplotlib v3.3.4, https://matplotlib.org/</dc:title>\r\n     </cc:Agent>\r\n    </dc:creator>\r\n   </cc:Work>\r\n  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"
     },
     "metadata": {},
     "execution_count": 6
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "source": [
    "y = np.sin(x[:, np.newaxis] + np.pi * np.arange(0, 2, 0.5))\r\n",
    "lines = plt.plot(x, y)\r\n",
    "\r\n",
    "plt.legend(lines[:2], ['first', 'second']);"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
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"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "source": [
    "plt.plot(x, y[:, 0], label='first')\r\n",
    "plt.plot(x, y[:, 1], label='second')\r\n",
    "plt.plot(x, y[:, 2:])\r\n",
    "plt.legend(framealpha=1, frameon=True);"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
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"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "source": [
    "import pandas as pd\r\n",
    "cities = pd.read_csv('california_cities.csv')\r\n",
    "\r\n",
    "lat, lon = cities['latd'], cities['longd']\r\n",
    "population, area = cities['population_total'], cities['area_total_km2']\r\n",
    "\r\n",
    "plt.scatter(lon, lat, label=None,\r\n",
    "            c=np.log10(population), cmap='viridis',\r\n",
    "            s=area, linewidth=0, alpha=0.5)\r\n",
    "plt.xlabel('longitude')\r\n",
    "plt.ylabel('latitude')\r\n",
    "plt.colorbar(label='log$_{10}$(population)')\r\n",
    "plt.clim(3, 7)\r\n",
    "\r\n",
    "for area in [100, 300, 500]:\r\n",
    "    plt.scatter([], [], c='k', alpha=0.3, s=area,\r\n",
    "                label=str(area) + ' km$^2$')\r\n",
    "plt.legend(scatterpoints=1, frameon=False, labelspacing=1, title='City Area')\r\n",
    "\r\n",
    "plt.title('California Cities: Area and Population');"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ],
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "source": [
    "fig, ax = plt.subplots()\r\n",
    "\r\n",
    "lines = []\r\n",
    "styles = ['-', '--', '-.', ':']\r\n",
    "x = np.linspace(0, 10, 1000)\r\n",
    "\r\n",
    "for i in range(4):\r\n",
    "    lines += ax.plot(x, np.sin(x - i * np.pi / 2),\r\n",
    "                     styles[i], color='black')\r\n",
    "ax.axis('equal')\r\n",
    "\r\n",
    "ax.legend(lines[:2], ['line A', 'line B'],\r\n",
    "          loc='upper right', frameon=False)\r\n",
    "\r\n",
    "from matplotlib.legend import Legend\r\n",
    "leg = Legend(ax, lines[2:], ['line C', 'line D'],\r\n",
    "             loc='lower right', frameon=False)\r\n",
    "ax.add_artist(leg);"
   ],
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ],
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"251.278125pt\" version=\"1.1\" viewBox=\"0 0 374.304688 251.278125\" width=\"374.304688pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <metadata>\r\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\r\n   <cc:Work>\r\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\r\n    <dc:date>2021-08-20T11:29:06.514109</dc:date>\r\n    <dc:format>image/svg+xml</dc:format>\r\n    <dc:creator>\r\n     <cc:Agent>\r\n      <dc:title>Matplotlib v3.3.4, https://matplotlib.org/</dc:title>\r\n     </cc:Agent>\r\n    </dc:creator>\r\n   </cc:Work>\r\n  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"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "source": [],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "source": [],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "source": [],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "source": [],
   "outputs": [],
   "metadata": {}
  }
 ],
 "metadata": {
  "orig_nbformat": 4,
  "language_info": {
   "name": "python",
   "version": "3.6.10",
   "mimetype": "text/x-python",
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "pygments_lexer": "ipython3",
   "nbconvert_exporter": "python",
   "file_extension": ".py"
  },
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3.6.10 64-bit ('lab': conda)"
  },
  "interpreter": {
   "hash": "ef0af0e2864dd9943b080eef7e89ea34b1917f29e151dc31df9abd8d184eafae"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}