From 4721aec34037cfed87fc1dcfdc4cbc7dbaf8a0fb Mon Sep 17 00:00:00 2001
From: Sebastian Steinlechner <sebastian.steinlechner@ligo.org>
Date: Thu, 4 Aug 2016 18:01:04 +0200
Subject: [PATCH] initial checkin

---
 pykat_tutorial.ipynb | 650 +++++++++++++++++++++++++++++++++++++++++++
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 create mode 100644 pykat_tutorial.ipynb

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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# PyKat Tutorial v0.1\n",
+    "\n",
+    "Sebastian Steinlechner, 08/2016\n",
+    "\n",
+    "[**PyKat**](http://www.gwoptics.org/pykat/) is a wrapper for the interferometry simulation tool [**Finesse**](http://www.gwoptics.org/finesse/), both maintained by the University of Birmingham (Andreas Freise _et al._). Basically, _PyKat_ allows you to automate your simulations, e.g. running the same simulation for different laser powers. Normally, you would have to run _Finesse_ multiple times, collect the output data for each run, and then manually combine them in _gnuplot_, _Matlab_ or similar. If you have been using the _SimTools_ wrapper for _Matlab_, then _PyKat_ does pretty much the same job, but is much nicer to use.\n",
+    "\n",
+    "_PyKat_ nicely integrates into _IPython Notebook_, which gives the possibility to have code and documentation together in one single document (similar to _Mathematica_) -- it can even create nicely formatted LaTeX output. In fact, this tutorial is an _IPython Notebook_ as well!"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Installation\n",
+    "\n",
+    "### Finesse\n",
+    "\n",
+    "Of course, we need _Finesse_, which you should [download and install](http://www.gwoptics.org/finesse/)."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Python\n",
+    "\n",
+    "Unless you already have your own _Python_ environment (if you have no idea what I'm talking about, then you don't have one...), then the recommended way is to use a pre-packaged scientific Python distribution, e.g. [_Anaconda_](http://www.continuum.io). It is available for both Windows and MacOSX. At the time of writing, versions for _Python 2.7_ and _Python 3.5_ were available, choose 3.5 (or higher). Download, install."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### PyKat\n",
+    "\n",
+    "Follow the [installation instructions for PyKat](https://pypi.python.org/pypi/PyKat). At the time of writing, it was as simple as opening a command line window and then typing\n",
+    "\n",
+    "```\n",
+    "pip install pykat\n",
+    "```\n",
+    "\n",
+    "**TODO**: maybe one has to set up environment variables as well."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## IPython Notebook\n",
+    "\n",
+    " _Anaconda_ comes with _IPython_, so let's run it now. In a command line window, type:\n",
+    "\n",
+    "```\n",
+    "ipython notebook\n",
+    "```\n",
+    "\n",
+    "This should open up a browser window, and you will see a list of files in the current directory. Navigate to wherever you want to work, then create a new notebook by clicking _New_ - _Python_ in the top-right corner. You will then see an empty document, with a single cell. You can directly start to type things in there, and then press `<shift>`-`<enter>` to execute:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "3"
+      ]
+     },
+     "execution_count": 1,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "1+2"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Simple arithmetic works as expected (`+`, `-`, `*`, `/`), powers are written using a double asterisk (``2**4``). You can however use the full functionality of Python in there, like defining functions:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "20"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "def multiply_by_2(number):\n",
+    "    return number*2\n",
+    "\n",
+    "multiply_by_2(10)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "_IPython_ automatically prints the result of the last line. If you don't need that result, just add a semicolon to the end of that line:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "multiply_by_2(10);"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "See? Silent.\n",
+    "\n",
+    "Things get even better when we switch on _pylab_, which is a _Matlab_-like package (the second line here is not strictly necessary, but it gives nicer plots on Macs with high-resolution displays):"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Populating the interactive namespace from numpy and matplotlib\n"
+     ]
+    }
+   ],
+   "source": [
+    "%pylab inline\n",
+    "%config InlineBackend.figure_format = 'retina'"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Now watch this:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
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RkTRxoj1mnj6AcyHoFwBBP9gGDZLOP9/69Ddv9l0N4NecOVJVlTRqlNSqle9q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\nf6oO0y5jVVfPAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x104d62190>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 255,
+       "width": 381
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "x = linspace(0, 4*pi, 100)\n",
+    "y = sin(x)\n",
+    "plot(x, y);"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Again, I used a semicolon here to suppress the output of the last line, otherwise you'd get the result of the plot command which is some array containing all the elements of the plot. Not very helpful right now. The plot itself is displayed nevertheless."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## First steps with PyKat\n",
+    "\n",
+    "Let's start using _PyKat_. First of all, we need to `import` it:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "                                              ..-\n",
+      "    PyKat 1.0.4           _                  '(\n",
+      "                          \\`.|\\.__...-\"\"\"\"-_.\" )\n",
+      "       ..+-----.._        /  ' `            .-'\n",
+      "   . '            `:      7/* _/._\\    \\   (\n",
+      "  (        '::;;+;;:      `-\"' =\" /,`\"\" `) /\n",
+      "  L.        \\`:::a:f            c_/     n_'\n",
+      "  ..`--...___`.  .    ,  \n",
+      "   `^-....____:   +.      www.gwoptics.org/pykat\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "from pykat import finesse"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "If you get any error messages at this step, _PyKat_ isn't installed and/or setup correctly. Ask for help.\n",
+    "\n",
+    "Let's start with a very simple cavity, consisting of two mirrors `ITM` and `ETM`, and we look at the transmitted light while scanning the cavity across a resonance. If you know _Finesse_ already, then you can just use the standard _Finesse_ syntax:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 120,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "finesse_code = \"\"\"\n",
+    "l l1 1.0 0 nin\n",
+    "s s1 1.0 nin nITM_in\n",
+    "m2 ITM 0.95 0 0 nITM_in nITM_out\n",
+    "s s2 1.0 nITM_out nETM_in\n",
+    "m2 ETM 0.95 0 0 nETM_in nETM_out\n",
+    "s s3 1.0 nETM_out nout\n",
+    "\n",
+    "pd PDtrans nout\n",
+    "xaxis ETM phi lin -200 200 400\n",
+    "yaxis lin abs\n",
+    "\"\"\""
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The `\"\"\"` are a special _Python_ syntax for reading in a string consisting of multiple lines. In the next step, we need to create a new _PyKat_ object, and read in the code:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 121,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "kat = finesse.kat()\n",
+    "kat.verbose = False\n",
+    "kat.parseKatCode(finesse_code)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "You can also read in code from a `.kat` file that you have already created, by using the command\n",
+    "\n",
+    "```python\n",
+    "kat.loadKatFile('/path/to/finesse_file.kat')\n",
+    "```\n",
+    "\n",
+    "Let's run this simulation, and use the built-in `plot` command to display the output."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 122,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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6LYGdgPHAHcAzLfxOYYuUJMWqFS83bjReSlKJk00ka2UiNb/GtinAWcC+wNta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\nvfXtRzpONRsAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x107886d10>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 260,
+       "width": 425
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "result = kat.run()\n",
+    "result.plot();"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Simple! We can also manually plot the result, like this:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 123,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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IF0EfCbwXeCuwDfB+4PkMt7UdcCnpTk1rgMeBc4FNh7Cug4HrgEWFdf2TdIeo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\nQBnY/1CT41cAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x1071bf790>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 270,
+       "width": 391
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plot(result.x, result['PDtrans'])\n",
+    "xlabel('ETM phase')\n",
+    "ylabel('Transmitted Power (W)')\n",
+    "legend(['PDtrans']);"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "So far, we didn't do anything that _Finesse_ can't do on its own. _PyKat_ comes in really handy once you want to run the same simulation with different parameters. For example, we can redo the same plot for different mirror reflectivies. We first define a list of reflectivities that we want to use. Then we iterate over this list, updating the reflectivities of `ETM` and `ITM` (and adjusting the transmissivities accordingly). All plot commands from one cell are automatically accumulated into one single plot, so we can just plot each result individually. Note at this point that _Python_ is very strict about good code layout. You _have_ to indent everything inside a loop by either using `<tab>`s or `<space>`s."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 124,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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wDYNeER2s9a4aiDFj1MVSRKSlUuDQCtQMHE5fPI3TdJKakOp1Z3WWldGjbQ/A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\n7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KwwNJRZ0zaZZT86ehxCLMI9mR5OXXgq+WI+kd1Y3/c+lSz9wAPwrW/FPRtBaMztt8PN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\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10790be50>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 270,
+       "width": 391
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "reflectivities = [0.5, 0.75, 0.9, 0.98]\n",
+    "for R in reflectivities:\n",
+    "    kat.ETM.R = R\n",
+    "    kat.ETM.T = 1-R\n",
+    "    kat.ITM.R = R\n",
+    "    kat.ITM.T = 1-R\n",
+    "    result = kat.run()\n",
+    "    plot(result.x, result['PDtrans'],\n",
+    "         label='R={:.0f}%'.format(R*100))\n",
+    "\n",
+    "xlabel('ETM phase')\n",
+    "ylabel('Transmitted Power (W)')\n",
+    "legend();"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Just a few lines of code, and done! The `legend` uses some fancy formatting, which is beyond the scope of this tutorial, but you can read up about it [here](https://docs.python.org/3.4/library/string.html#format-examples). "
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Quantum-noise simulations"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Since version 2.0, _Finesse_ is able to calculate quantum noise, including radiation pressure noise. Even better, since 2.1 there's also a balanced homodyne detector available.\n",
+    "\n",
+    "Let's try this out by creating the famous plots of a Michelson interferometer, where one sees that increasing the laser power decreases the shot-noise contribution at high frequencies, but increases the radiation-pressure noise contribution at low frequencies. We therefore need a simple Michelson interferometer, just two mirrors and a beam splitter:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 143,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "finesse_code = \"\"\"\n",
+    "l l1 100e3 0 nin\n",
+    "s s1 1.0 nin nBS_in\n",
+    "\n",
+    "# main beam splitter\n",
+    "bs2 BS 0.5 0 0 45 nBS_in nBS_n nBS_e nBS_out\n",
+    "\n",
+    "# north arm\n",
+    "s sN 1e3 nBS_n n_ETMn\n",
+    "m2 ETMn 1.0 0 0 n_ETMn dump\n",
+    "attr ETMn m 10\n",
+    "\n",
+    "# east arm\n",
+    "s sE 1e3 nBS_e nETMe\n",
+    "m2 ETMe 1.0 0 90 nETMe dump\n",
+    "attr ETMe m 10\n",
+    "\n",
+    "s s3 1.0 nBS_out nout\n",
+    "\n",
+    "# differential signal\n",
+    "fsig fGW1 ETMn 1 0 0.5\n",
+    "fsig fGW2 ETMe 1 180 0.5\n",
+    "\n",
+    "# sensitivity detector\n",
+    "qnoisedS PDsens 1 $fs nout\n",
+    "scale meter PDsens\n",
+    "\n",
+    "xaxis fGW1 f log 0.1 1e3 400\n",
+    "yaxis log abs\n",
+    "\"\"\"\n",
+    "kat = finesse.kat()\n",
+    "kat.verbose = False\n",
+    "kat.parseKatCode(finesse_code)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "New(ish) commands that were introduced for the quantum-noise calculation are the two `attr` lines, which set the mass of the ETMs to 10kg. We apply a differential signal to the end mirrors using the `fsig` command, with half the amplitude each. Then comes the `qnoised` detector. `qnoised` by itself detects only the quantum noise, while `qnoisedS` gives the shot-noise limited sensitivity by internally dividing the noise by the signal at that node. We need to give it a demodulation frequency at which we want to know the noise, here we set it to `$fs` so that it always looks at the frequency where we inject the signal. Using the `scale` command, we can get the output in ${\\rm m}/\\sqrt{\\rm Hz}$. Finally, in the `xaxis` command we tell _Finesse_ to sweep the signal frequency from 0.1 Hz to 1 kHz.\n",
+    "\n",
+    "Let's run this, for different laser powers:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 144,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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OhoUL4Yor4NdfoW1bOHjQdioRERGRIuXAgQOMHDmSb7/9lmbNmmVPk4qIiGD48OFs2bKF\n6tWrZy95fKac06qSk5NJTEwkISGBlJQUHA4Hd999t19+jmCjfVyCTWwsLFsGzZvDDz9Ahw6QlASl\nStlOJiIiIpY5nrLfYJ3F9aT9nglPnnvuubMej4+PZ/bs2bkec7lc2VPLzhQeHs7o0aNJSEgodMZQ\npMIlGFWoACtWQNOmsGEDdOsGixdDZKTtZCIiIiJFUkFW1cq5AWWJEiWoWLEijRo14tZbb6V+/fq+\nihj0AqfslnPlAnJf6eGXX0zPy/790LUrzJwJxYr5O5+IiIh4QdYH50BY3ako27VrFxdeeCEOh4Ot\nW7dSu3Ztr1x3zZo1tGrVCofDwc6dO4mPj/fKdX2poO+pHMWblRpCPS7B7KKLIDERypaF+fPhllsg\nI8N2KhERERGRAlPhEuwuvRSWLoWYGJg6Fe69F/QvNSIiIiJSxKhwCQWNGsGCBVCiBLz5JowaZTuR\niIiIiEiBqHAJFa1awUcfQXg4PPssvPii7UQiIiIifnHgwIHsR3JycvbzycnJpx1T/1Bg06pioaRr\nV5g8GW6+GYYNgzJl4PbbbacSERER8amKFSu6PedyuWjcuPFpz+3atavQTfUqfnxHIy6hpn9/M10M\nYOhQ+PBDu3lERERE/MDhcOT5KOz1c34V79NvtujzvBzy2Tz3HDz2GEREwLx50LGjL7KJiIiIl2g5\nZPE2LYcsZ2oOLAB+BzKAgbmc48w8lvOx16ephg8308XS0qBnT/jkE5/eTkRERESkMFS4+F4MsBm4\nDzhG5ghJLrYBlXM8LvVpKocDxo6FIUPg+HHo3Bm+/tqntxQREREROVcqXHxvKTASmI0ZSfEkHfgz\nx+NvnydzOOCtt+DGG+HIEWjXDrZs8fltRUREREQKSoVL4LgQ2APsAGYANfxy1/BwmDLF9Lj8/Tck\nJMDOnX65tYiIiIhIfqlwCQxfYHpfrgdux0wV+wwo55e7FysGM2dC8+awdy+0aQP79vnl1iIiIiIi\n+aHCxXtuAo7keDQpwGuXAbOAH4CVQEfM/za5NfL7RlQULFwIV14JO3aYkZe/fT9bTUREREQkP0Kt\ncOkJvA6sAw5jek4+yOM15wMTMat8HQd2Aq8AZc44bz5QP8fjm0LkPAr8CFxUiGsUXOnSsHQp1K0L\nP/4I7dub3hcREREREctCrXAZCdwFXIZZnhg8r/IFUBNTgAzCTOd6GdODch/wOadP5UrJPJb1OF6I\nnJHAvwD/z9eKi4PERKhRA776Crp0gWPH/B5DRERERCSnUCtc7gdqAbHAHfk4/y2gAnAP0AN4DGiN\nGXGpAzybj2vEAA0yH2HABZnfV8txzjjMfi81gEaYaWNRwPv5uL73nXcerFgBVarAmjXQpw+cOmUl\nioiIiIgIWNr1MkC0AFYBU4EBuRyvCfyMmRpW84xjJYH9mNGaSpipXXndh8zzs37nk4FbMr+fgSlc\n4oC/MKM5ozB7u+TFBT7aRfeHH+C66+DgQejXDz74AMJCrdYVEREJDAXd5VwkLwV9T2Wdj6UaIsLG\nTYuIlplfE3M5lgJ8CiQA1/C/wiQ3a8h7ZKtvQcP5xSWXmJ6X1q1h+nSIjYU33zT7v4iIiIiI+JH+\n+dyzOplft3s4/nPm11p+yGLP1VfDggVQogS8/TY8/rjtRCIiIiISglS4eBab+fUfD8eznj9zdTEr\nHA6Hx4fT6SzcxVu2NPu8hIfDc8/B8897JbOIiIiIBBan0+nxM6VtKlyChMvl8vgodOEC0LkzTJli\npokNHw7vvFP4a4qIiIhIQHE6nR4/U9qmwsWzrBGVWA/Hs54/5IcsgaFfP3jrLfP9nXeavhcRERER\nET9Q4eJZ1opedTwcz+pt8dQDE5z+7/9g7FhwuWDAAFi40HYiEREREQkBKlw8W535NQH3Jd9KAU2A\nVMzGlNZ5taclL48+aqaLpadDr15mrxcRERERCTo5e15sU+Hi2Q7MUsg1gLvOOPYUEA18AATEtvJe\n72nJy5gxZvTlxAnT//LVV76/p4iIiEgBpaSksGDBAkaNGkX79u2Ji4sjLCyMsLAwtm/Pe+LMyZMn\neeGFF2jQoAElS5akTJkyXHvttbz33nv5uv+uXbsICwtj7dq1Zz0vK1POR7FixahYsSIJCQlMnDiR\njIyMfN3Tm3L2vNhmv3Tyr26ZD4DKQFtMgbI+87m/gEdynH8h8BlQEZiPmT7WCLOp5E/AtUCyr0Pn\nwXcbUOYlIwNuvtn0upQrB2vXQr16/s8hIiISArQB5bmZN28ePXr0cHve4XCwdetWateu7fG1hw8f\nplWrVmzcuBGAmJgY0tLSOHHiBACdOnVi7ty5hIeHe7zGrl27uPDCC1mzZg3Nmzf3eF5Y5ibfsbGx\nREVFAXDs2DEOHz6c/b95s2bNWLZsWfbxwipqG1CG2ohLfWAAcDNmCpgLM6IyIPNxwxnn7wCuxOxy\n3wh4MPP8VzEbT9ouWuwKC4PJk6FTJzh4EBISYMcO26lEREREsjkcDipWrEjHjh1xOp1MmDAh36+9\n/fbb2bhxI+XLl2fRokUcOXKE1NRUJk+eTGRkJIsWLeLJJ5887TVz587l9ttv5+DBg7leMzU1leHD\nh/Paa6/lenz8+PHs3buXvXv3kpyczO+//85tt90GwLp163jsscfynV8k0LjOfDz55JMuvzp61OVq\n2dLlAperRg2Xa88e/95fREQkBGT9d14KJj09/bQ/79y50+VwOFxhYWGun376yePrNm7cmH3ewoUL\n3Y6PHz/e5XA4XNHR0a4///wz+/nFixe7atas6YqLi3P9+9//du3YscPlcDhca9ascc2ePdtVrVo1\nV+XKlV2TJk067XoOh8PlcDhc77//fq55Wrdu7XI4HK6SJUu6Tp06VYDfgGf5eU89+eSTbp817Xzk\nDb0Rl6Dl8nePS05RUTB/Plx1FezcaUZeDhzwbwYRERGRXGRNwSqo6ZnbPtSpU4dOnTq5HR8yZAil\nS5fm2LFjzJkzJ/v5Dh06sHXrVkaNGsWIESPo2LEjAHfccQeDBg3i1ltv5ddff2XQoEEFytO3b18A\njh49yk8//XROP9O5CKQeFxUu4h2lSsHSpabHZcsWaN8eDh+2nUpERETknKxebRaYbdu2ba7HIyMj\ns3tWVq1addqxYsWKce+997Jx40ZSU1MB2L9/P5999hlPPvkk0dHRBc5TtWrV7O+PHDlS4NcHAxUu\n4j3ly0NiIlx4IXz9NXTpAscCYtE1ERERkXxzuVxs22a29Kt3loWH6tatC8DWrVtPe/7UqVO88cYb\nNGzYkJiYGAAqV67MtddeyzPPPMPRo0cLnGn37t3Z35cpU6bArw8GKlzEu6pWhRUrzNdPPjH7vJw6\nZTuViIiISL4dPnyYo0eP4nA4ThvpOFOVKlUA2LdvX/Zzy5Yto27dujz99NOMGTOGJUuWAPDOO+8w\nefJk/v3vf3PRRRcxZcqUfOfJyMhg4sSJgFl1rE4dT/ujBzcVLuJ9NWpAUpIZgVm8GAYMMJtVioiI\niBQBWdO7gLMuPZw15SslJSX7uWPHjtGiRQt++uknbr311tPO79GjB1u3bmXAgAEcOnQo12vm7CU5\nduwYGzdupHv37nyVuWfenXfeGRCbQdqgwiVIZO1o6nA4/N+cn5u6dWHZMtP78uGHcNddEABNXSIi\nIiHN4QicR5Dq3r077733HmXLls31eHR0NGPHjuXee+/N9fjgwYOzN6CMiYnhyiuvZOHChQB07drV\n75/znE5n9mdM2yJsBxDvSEtPIzzM8+ZHVlx5JSxcCO3awbvvQpkyMHas7VQiIiIiZ5XVlwJm1MOT\nrF6VkiVLnvV6BfnQn3MDyoiICMqWLctll11Gnz59cl3dzNecTmd2sWS7eFHhEiTuXHwn73R6x/ob\nys1118GsWdCtGzz/PMTGwogRtlOJiIiEJs1+yJfSpUsTHR3N0aNH2bt3r8fzso5l9brkpnr16qQX\nYMr8+PHjGTBgQP7DhhBNFQsSEzZO4NEVjwbEGttuOnaEDz4ww8KPPQZvvWU7kYiIiIhHDocje8Ww\nH374weN5W7ZsAf63upj4lgqXIBERFsGLn73I2PUBOhXrxhvhnXfM93fdBVOn2s0jIiIichYtW7YE\nICkpKdfjx48fZ926dQC0bt3ab7lCmQqXIPFB9w9w4OCxVY/x5pdv2o6TuyFD4IUXzPeDBsGCBVbj\niIiIiHiStVP9tm3bWLx4sdvx9957j8OHDxMdHU337t39HS8kqXAJEn0v7YvL6QIn3D3sbqZuDtAR\njUceMdPF0tOhd284Y6dZEREREW87cOBA9iM5OTn7+eTk5NOO5Zxy36BBA3r37g3AoEGDWLp0KQDp\n6elMmTKFRx99FIAHHniAuLg4P/40/hVIq4rZTyCF5YL/rfk97rNxPJL0COGOcGb3nk3Xi7taDZcr\nlwvuvtv0usTEwMqV0KiR7VQiIiIBLeuDY0D2swa4sLD8/Vv9rl27iI+Pz/7zkSNHaNWqFd988w1g\n9nRJT0/n5MmTAHTu3Jm5c+fm+/r5yTh58mS/NecX9D2Vo3ixUkNoxCXIPHztwzze7HHSXen0ntWb\nlTtW2o7kzuGA11+H/v0hNRXat4ezNL6JiIiIFFbOPe88Pc5UqlQpPvvsM8aOHUv9+vUJDw8nKiqK\nxo0bM2HCBObPn++VoiVnRvFMv52i77QRl6zv71l6D29+9SYxxWJYOWAljc4PwBGNU6egVy+YPx8q\nV4b166FmTdupREREApJGXMTbitqIiwqXos+tcAHIcGUwcN5Apm6eStnIsqwZtIbLKl1mJeBZHT9u\nlktetQqqV4d16+D8822nEhERCTgqXMTbVLiIv+VauACkZaTR8+OezP9pPpViKrH+lvVcVO4ivwfM\n05EjkJAAGzbAxRfD2rVQoYLtVCIiIgFFhYt4W1ErXNTjEsQiwiL4sOeHtK7Rmj9S/6DNlDb8fvh3\n27HclSoFS5bAJZfAtm3Qrh3884/tVCIiIiISQFS4BImcjWVOpzP7+ciISObdOI9G5zXit39+I+GD\nBP5K/cteUE/KlYPERNPjsnEjdO4MR4/aTiUiIiIS0rQcsniTx6liOR08dpAWk1vw/Z/fc0WVK1g1\nYBWxkbF+CVggu3ZB06awZ49ZbWzePChe3HYqERER6zRVTLxNU8UkIJWLKkfizYnULFuTjfs20mlG\nJ46eCsARjerVISkJypeHpUthwACzWaWIiIiIhDQVLiGkcsnKrBiwgvNLn8/63eu54eMbOJl+0nYs\nd//6FyxfbnpfPvoI7rjDbFopIiIiIiFLhUuIqV6mOkk3JxEXHceyX5bRf05/0jMCcESjYUNYtAgi\nI+G992DYMBUvIiIiIiFMhUsIujjuYpb3X07pEqWZuWUmQxcNDcz5ss2bw5w5EBEB48bBmDG2E4mI\niIiIJSpcQtQVVa5gUd9FREVE8Z9N/+HhxIcDs3hp3x6mTQOHA0aOhDfesJ1IRERERCxQ4RLCml3Q\njDl95lAsrBgvf/Eyo9eOth0pd717w4QJ5vt77oEpU+zmERERERG/U+ESJDzt45KXdhe1Y1qPaYQ5\nwnhizRO8tuE134UsjNtuM9PFAG65xSyTLCIiIiI+pX1cxJvytY9LXiZumsitC24FYHLXyQxsMLDw\nyXxh1CgYPdrs7bJkCbRubTuRiIiIX2gfF/G2oraPiz9v2hRoCzQDLgQqZD7/F7AD+ARIAj71Y6Zg\n4JXCBeCVz1/hwcQHCXOEMbPXTHr8q0ehr+l1Lhfce6/pdYmJgRUr4JprbKcSERHxuUD4F28JTkWl\ncPH1VLEo4EHgJ2AtMBK4DqgCHAZSgKqZzz0BrAO2AQ8AkT7OJmd4oPEDPNH8CTJcGfSd3ZekX5Ns\nR3LncMD48WZjytRU07y/ebPtVCIiIj7XoUMH2xEkCBWl95Uvq6XBwDOYwmQX8DGwHvgS+POMcysB\nVwNNgN5AdWAPMAqY7MOMwcBrIy5Z17l/2f289uVrRBeLZsXNK2hcrbFXru1VaWnQq5fpdalUCdat\ng1q1bKcSERERCVq2R1x8edMMYDHwPKZgyS8HZlrZo0AHtIBAXrxauABkuDK4dcGtTP52MmUiy7Bm\n4BrqV64TVmIJAAAgAElEQVTvtet7zYkT0KmTmS4WHw/r10O1arZTiYiIiASlYChc0oHwXJ6/Evi6\nkNf2xjWCndcLF4C0jDT6zOrDnK1zqBhTkXWD11G7fG2v3sMrUlIgIQG++ALq1DEjLxUq5P06ERER\nESmQYChcMtCoiE0+KVwATqSdoPOMziTtSKJa6Wqsv2U98bHxXr9PoSUnw3XXwfffw+WXw+rVEBtr\nO5WIiIhIULFduKjgEI9KRJRgbp+5XFvtWv57+L8kfJDAn6lnticFgLJlITERLroINm0y08eOHrWd\nSkRERES8SIWLnFVM8RgW91tM/Ur12f73dq6fej2Hjh+yHctd5cqm1+X8802vyw03wMmTtlOJiIiI\niJfYKFxy64fRvJ4AViayDMv7L6dWuVp8u/9bOk7vSOrJVNux3F1wASQlQVwcLFsG/ftDerrtVCIi\nIiLiBTYKl31AtzOeux+YAvwIfOP3REHA4XBkP5xOp9evX6lkJVYMWEG10tX47L+f0ePjHpxIO+H1\n+xTaxRfD8uVQujTMnAlDh5pNK0VERESkwJxOZ/ZnTNtsNOf/A5QC/gPcB+RsRrgA2AiU90KuUOGz\n5vzcbP97O00nNuWvo39xw79u4MOeHxIRFuGXexfI+vXQti0cOwYPPgjjxpnNK0VERETknIRic/5b\nwB1AX2ATcFWOY78Byy1kknyqXb42iTcnElsiltlbZ3P7wtvJcGXYjuWuaVOYMweKFYOXX4bRo20n\nEhEREZFCsFG4OIB3gcsxoy+fAo/zv8rtoIVMUgANKjdgcb/FRBeLZvK3k3lw+YN+G/EpkHbtYNo0\nCAuDJ56A116znUhEREREzpGNwqVM5tefgWuBsYAT+ASIJ3PqkwS2JvFNmNtnLsXCijF+w3ie+uQp\n25Fy16sXvPee+f6+++D99+3mEREREZFzYqPHZQ9wIZCzs7sxMBXT27ITMxoj+ePXHpczzd4ym96z\nepPhyuDlti/zQOMHrOTI0yuvmF6XsDDTtN+jh+1EIiIiIkVKKPa4VAG+A14Brsl87nOgPjAn86sU\nETfUvYH/dPkPAA8mPsjETRMtJ/LggQfMdLGMDOjb1yybLCIiIiJFho0Rl7w0xhQykj9WR1yyjP9i\nPPcvv58wRxgf9fyInnV7Ws2TK5cL7r/f9LpER5sNKxs3tp1KREREpEgI9hGXq/I+xc0pr6cQn7vv\nmvt4qsVTZLgy6De7H8t/CcDF4RwOM2Vs0CA4ehQ6dIDvvrOdSkRERETywdcjLquBlgW83iqgVaES\nhZaAGHHJyvBQ4kO88sUrREVEkXhzIk3jm9qO5S4tDfr0McslV6wI69ZB7dq2U4mIiIgENNsjLr4u\nXA4BvTi9Ef9sooCPgVgv5AoVAVO4gMlx24LbmPjtREqXKM2agWu4vEoArrVw4gR07mx6XapVMxtW\nxsfbTiUiIiISsIK9cDmXnQldQPi5xwk5AVW4AKRnpNN3dl9mbplJXHQc6wav4+K4i23HcpeaCm3b\nwmefmRGXdevMCIyIiIiIuAn2wiUd+Ag4ecbzLTHTyM4UhRmhsbHaWVEVcIULwMn0k3T9sCvLflnG\n+aXPZ/3g9VxQ5gLbsdwdOgQtWphelwYNYPVqKFMmz5eJiIiIhJpgL1y+IvcG/blAdw+v2Qhc4YVc\noSIgCxeAo6eOcv3U61m/ez0XlbuI9YPXU6lkJdux3P3xBzRrBj//DE2awPLlEBNjO5WIiIhIQLFd\nuPh6ZGPuObxmttdThIDdu20ncBddLJpFfRdxeeXL+eXgL7Sd2pbkY8m2Y7mrVMksjVytGnz6qdmc\n8kR+27JERERExB98XbiMOYfXPOv1FCGgTRszcBBoYiNjWdZ/GXXK12HzH5vpML0DKSdTbMdyFx9v\nGvUrVIDERLjpJrP6mIiIiIgEBF8XLrf46TUh7+efHVSu7MDhcOB0Om3HOU3FmIqsGLCCC2Iv4Ivf\nv6Dbh904nnbcdix3deqYoiU2FmbPhiFDIONc1pcQERERCQ5OpxOHw5Fzmpg1vu5x+Qy4Npfnz9bj\n8gVwjRdyhQoXQO3aLrZvNxvBJyUFZovGz3//TLNJzfgj9Q+6XdyNmb1mEhEWYTuWu08/NauNHT0K\n991nNq0MgP+zioiIiNhku8fF14XLSeAFTl9VzAHcCMzI5fxo4CGgmBdyhQoXwO7dLpo2Nb0uCQmw\ncCGUKGE7mrvNf2zmusnXcej4IQbUH8CkrpMIcwTgInKJidCpE5w6BU4nPPmk7UQiIiIiVgV74aJ9\nXHwve1Wx7dvN4lh//gndu8PHH0NEAA5ofPH7F7SZ0obUU6ncc/U9jG83PiCGH93Mng29e5vpYq+8\nAvffbzuRiIiIiDXBXrgcBe7HfR8XTyKBlzEjL5I/py2H/N13ZluSQ4dg4ECYOBHCAnBAY8WOFXSc\n3pGT6ScZ2Wwkz7R6xnak3E2aBLdktl1NnAiDB9vNIyIiImJJsBcu64BmBbzeWqB5oRKFFrd9XD7/\n3KwydvQo3HMPjB8fmC0a87bNo+fHPUl3pfNiwos8fO3DtiPlbvx4M9oSFmaGsW64wXYiEREREb+z\nXbj4+t/ix/npNZJD48Ywbx4ULw6vvx647RndLu7GpK6TAHgk6RHe++Y9y4k8uO8+0+eSkQF9+5oN\nKkVERETEr3w94iK+5zbikmXuXOjVC9LTYdw4eOghv2fLlze+fIN7lt6DAwczbphBn0v62I7kzuWC\nBx+EV1+FqCizdFuTJrZTiYiIiPiN7REXFS5Fn8fCBWDKFNPrAvDee3DbbX7LVSDPrn2WkatHEhEW\nwfwb59OhVgfbkdy5XOYXOHGi2etl9Wq4/HLbqURERET8IlgKl0jy34Av3nXWwgXgjTdMr4vDATNm\nQJ+AHNBwMSxpGOM+H0dkRCTL+y+n+QUB2OqUng433gizZkGFCrBundm4UkRERCTI2S5cvDFScjVm\nQ8lHgJJeuJ542d13w+jRZsCgf39YssR2IncOh4MXEl7g9itu53jacTpN78Q3e7+xHctdeDhMnQrX\nXw9//WU2zdm923YqERERkaDnzWqpHXAH8B0wHvjbi9cWz/IccTHHYdgw0+sSGWn6y5sH4oBGRjo3\nzbmJj378iPJR5Vk7eC11K9S1HctdaqopXj79FGrVMiMvlSrZTiUiIiLiM7ZHXHxx0ybAfcAe4CXg\ndx/cQ/4nX4WLOQeGDjW9LqVKmRaNhg19nq/ATqafpPtH3Vny8xKqlqrK+sHrqVG2hu1Y7g4dgpYt\n4dtvoX598wstW9Z2KhERERGfCMbCJUt94EFM78uLwHYf3iuU5btwAdOicdNN8NFHUL48rF0LdQNw\nQOPoqaO0n9aetb+tpWbZmqwbvI4qparYjuXuzz+hWTPYvt2sQ52UBDExtlOJiIiIeF0wFy5ZLgIe\nBkph9mjZ5Id7hpICFS4AJ09C9+6m16VqVVi/HmoE4IDG4ROHafV+K77Z9w2XVLyETwZ9QrmocrZj\nufvvf6FpU9PrkpAACxdCiRK2U4mIiIh4le3CxR/LGP8C/B8wDOgPzAau88N9A0VzYAFmylwGMNDD\neVWA94E/gWPAj5mv9brixWHmTNPjsncvtGkD+/b54k6FU7pEaZb1X8a/4v7FD3/+QPtp7Tly4ojt\nWO6qVYMVK0yPS1IS9OsHaWm2U4mIiIgEFX/uv7IHeAi4HWgFLAI6+fH+tsQAmzF9P8fIHCE5Qxng\n08xjHYCLgbsxRYxPREebgYGGDWHHDjNQ8HcALqcQFx1H0s1JVC9TnS/3fEnXD7tyPO247VjuatWC\nxEQoUwbmzDH7vWRk2E4lIiIiEjSsDPNkKokZiWmDGWn4kNw/1AeTI8BdwJQznh8DNMt8FFSBp4rl\ndOCAGXnZuhWuvtoMHJQqdU6X8qlfD/5K00lN2Z+yny51ujCr1yyKhRezHcvd55+bIayjR83mOePH\nmw10RERERIq4UJgq5kkKpuelK1AaWA4MAYpbzGRLN+BL4CPgD0wf0F3+uHFcnJndVKMGfPkldOkC\nx475484FU7NcTZJuTqJsZFkW/LSAwfMHk+EKwBGNxo1h3jwzH+/118HptJ1IREREJCjYLFyynABW\nAFuBt4Ef7Max4kLgTkw/UFvMPjhj8VPxct55ZqSlShVYswb69IFTp/xx54K5pOIlLOu/jJLFSzLt\n+2ncs+Secx5p8qmEBPjwQwgLg6efhpdftp1IREREpMizXbhcj+l12Q70AEYB11pNdO5uwkwFy3o0\nKcBrw4BvgMcxG3hOBl7DT4ULwIUXmhaNcuVM78ugQYHZonH1eVez4MYFlAgvwVtfv8Xjqx63HSl3\n3bvDxInm+4cegv/8x24eERERkSLORuFSCrgX2AYszfxzH6A6ptfjgA/v3RN4HVgHHMas8vVBHq85\nH5gI7AWOAzuBVzAN9TnNx+xdk/X4pgC59gJbznhuGxBfgGsU2iWXwLJlULIkTJ8Od91lNq0MNC1r\ntGRmr5mEO8J5bv1zPL/+eduRcjdwoOlxARgyxCzlJiIiIiLnxJ+FS0ngDczqYs8Ba4EGmKWRZwHp\nfsgwEjOKcRlmeWI4+4IANTEFyCDgC+BlYAdmhbDPgZybiqRkHst6FGTpq08xK4nlVBvYVYBreMVV\nV/1vG5J33oHHHvN3gvzpXKczU7pPwYGD4SuH8+7X79qOlLt77zXTxTIyzM6fy5bZTiQiIiJSJPmz\ncEkBygKvYkYxhmCWCfan+4FaQCxwRz7OfwuoANyDmcr2GNAaM+JSB3g2H9eIwRRoDTC/7wsyv6+W\n45xXgGsyr38R0Cvznm/m4/pe16IFzJoFEREwdqx5BKJ+l/bjzQ7mV3TH4juY8f0My4k8GDnSTBc7\ndQp69DA7foqIiIhIgfh7KbNo4AHy94Hf11oAq4CpwIBcjtcEfsZMDat5xrGSwH7MaE0l4Gg+7kPm\n+Vm/88nALTnO64CZKlcH+A0zOvVGPn6OQi2HfDYzZphBApcL3noL7shPqWfB2PVjGbFyBBFhEczt\nM5dOtQNweyCXC26/3fS6lC4Nq1fDFVfYTiUiIiKSb6G2HPJRzGpZRUHLzK+JuRxLwUzvisGMlJzN\nGszvOQwIz/H9LWectwQzEhOFmTaWn6LFp/r2hbffNt/fdRdMm2Y3jyfDmw7n0SaPkpaRRq+ZvViz\na43tSO4cDnj3XejVCw4fhuuvh23bbKcSERERKTJsNOf7o5fFG+pkft3u4fjPmV9r+SGLNUOHwvPP\nmwGDgQNhwQLbiXL3XOvn+L+G/8fxtON0ntGZr/Z8ZTuSu/BwmDoV2rUzO3+2aQO7dtlOJSIiIlIk\n2F4OOZDFZn79x8PxrOfPXF3MCofD4fHhLOQmiMOGwYgRkJ4OvXvDqlV5v8bfHA4Hb3Z8k36X9iPl\nZArtprXjxz9/tB3LXfHiMHs2NG0Ke/aYPV/277edSkRERAQAp9Pp8TOlbb4qXLoDczFN5iV8dA/J\nweVyeXwUtnABePZZuPNOOHECunSBDRsKn9nbwhxhTO46mU61O3Hw2EESPkhgR/IO27HcRUfDokVw\n+eXwyy/Qti0kJ9tOJSIiIoLT6fT4mdI2XxUuc4ERwKXAZ8AUzGaTRWmEJ2tEJdbD8aznD/khi3UO\nB7z+OvTvD6mp0L49fP+97VTuioUX4+OeH9Oiegv2peyjzZQ27D2y13Ysd7GxsHw5XHyx+UV26AAp\nKbZTiYiIiAQsXxYS24AngIaYRvMOwCbMBpCNfXhfb8nqnK7j4XhWb4unHpigExZmNoPv2tUMELRt\nawYMAk1UsSgW3LiAq6pexc5DO0n4IIEDR325r+k5qlABkpLgggvgiy+gWzc4XpDtf0RERERCh79G\nQL7EbNp4BbAAs4fLJsyyyHX9lKGgVmd+TcB9ybdSQBMgFbMxpXXe7Gk5m2LF4MMPoVUr05rRpg38\n/nver/O3UiVKsfSmpdSrUI8tf22h/bT2HD5x2HYsd+efDytWQKVKsHKlWcotLc12KhERERHg9J4X\n22wmiAQ6AjcC8cBsYAbwXz/dvwVn38cFYBnQFriX05cnfhmzmeU7wJ2+i5gvPtvH5WyOHDF95Rs2\nmNlOa9eaAYRAs/fIXppNasaO5B1cd8F1LL1pKVHFomzHcvf993DddWYo6+abYfJkM8QlIiIiEiBs\n7+Niv3QyYoEbgD6YZv4PgY+Bg16+T7fMB0BlTFGyA8jayvwv4JEc51+I6dGpCMzHTB9rhCl6fgKu\nBWx3VVspXAAOHoQWLcxn7iuuMKuNxXrqCLJoZ/JOmk5qyt4je+lYqyNz+8ylWHgx27HcffGFGcJK\nTYW774bXXjPNRSIiIiIBQIWLu8qYUZiemMb36cA8zr47fX49mfk481N+1u9hF6ZYyel84GmgHVAe\n2ItZfOApPC+V7E/WChcw08WaNoVffzVfly83i2YFmi1/baH5pOb8fexvbrzkRqZ2n0p4WLjtWO5W\nrjSN+idPwsiR8MwzthOJiIiIACpc8nIR0A+4EuhiOUugslq4gNlDMWtbknbtYP58s11JoPl679e0\ner8VR04eYWjDobzd8e2AmK/pZt486NnTbJzz4ovw8MO2E4mIiIhYL1wCcRL9NTm+/wUz2qGiJQ/+\nas7PTfXqpr88Lg6WLTNLJqen+zVCvlxZ9UoW9l1IZEQk737zLsNXDA+INcnddOsGkyaZ7x95BN57\nz24eERERCVlqzj+7DZg+Eskf6yMuWTZuhJYt4fBhuPVW83k7AN7jbhZvX0y3j7qRlpHGmFZjGNFs\nhO1IuXvzTdPr4nDAjBnQp4/tRCIiIhLCbI+42LhpDGZzyoaYRvycimNGXCL8HaoIC5jCBWDdOrj+\nejh2DB54AF56KTCLlw9/+JB+s/vhwsWbHd7kzqtsLw7nwZgx8PjjEBFh5uB16GA7kYiIiIQo24WL\njalibwFDgdKZ98/5cBCYo0CST82awZw5Zr+XV16B0aNtJ8rdjZfcyDud3gHgriV3MXXzVMuJPBgx\nwkwXS0uDG24w606LiIiIhCAbRcICoDvgqQviU8zmjpI/ATXikmXmTLjxRsjIgFdfhfvus50ody9+\n+iLDVgwj3BHOnD5z6FInANupXC4YOtTMvStVClavhoYNbacSERGREBOKIy5b8Vy0wOn7qEg+2WzO\nz02vXv/rKb//frOfYiB6pMkjPN7scdJd6fSe2ZuVO1bajuTO4YC33zY9LkeOmLl4W7bYTiUiIiIh\nINSb8x8H3gUOeDj+DDDKf3GKvIAcccnyyivw4INmE/iZM6FHD9uJ3LlcLu5Zeg9vfvUmMcViWDlg\nJY3OD8D1IU6ehO7dYckSqFoV1q+HGjVspxIREZEQYXvExcZNowAn8C3wDXA8x7HiQBKgT2P5F9CF\nC4DTCU89ZfpeFi2Ctm1tJ3KX4cpg4LyBTN08lbKRZflk0CdcWulS27HcHT0K7dubXpeaNc1qCFWq\n2E4lIiIiISAUC5fGwAwg3sNxFxCAW5oHrIAvXFwus8LY+PEQFQVJSdAkALuY0jLS6PlxT+b/NJ/K\nJSuzbvA6Lip3ke1Y7g4fhlat4Jtv4JJL4JNPoFw526lEREQkyIVi4fI58CXwI3DyjGPFgLFAeX+H\nKsICvnAB06R/662m1yU2FtasgQYNbKdydzztOJ2md2LlzpVcEHsB629Zz/mlz7cdy92BA9C8OWzd\nCldfbXYALVXKdioREREJYqFYuIwHzrbG1MdAbz9lCQZFonABs6LvjTfC7NlQoYKZ5VSnju1U7lJO\nptBmShs27NnAxXEXs3bQWirEVLAdy92ePdC0KezaZUZgFi+GyEjbqURERCRI2S5cbKwqlpLH8Xv9\nkiLIBNqqYrmJiIBp00yPy19/QUIC7N5tO5W7ksVLsuSmJVxa8VK2HdhGu2nt+Of4P7ZjuTvvPDPS\nUrkyrFplVh07dcp2KhEREQkiob6qWBugGjDJw/G1QHP/xSnyisyIS5bUVLOi76efQq1aZuSlUiXb\nqdztT9lP04lN+TX5V5rFN2NZ/2VEF4u2HcvdDz+YaWPJyXDTTTBlilnGTURERMSLbI+42LjpSOAa\nzMph3wInchwrhpkmVsJCrqKqyBUuAIcOQcuW8O23cNllpuelbFnbqdztOrSLphObsufIHtpf1J55\nN86jeHhx27HcffkltG4NKSlw553wxhtm/xcRERERLwnFwuUvTGFyMPPPOT9xFwcqo1XFCqJIFi4A\nf/4JzZrB9u3QuDEkJkLJkrZTudt2YBvNJjXjwNED9K7Xm+k9phMeFoBv0dWrzVLJJ07AY4/Bs8/a\nTiQiIiJBxHbhYmM+yT6geo5HjRyP84BNFjKJBRUrmhaN+Hj4/HOzt+KJE3m/zt8ujruY5f2XU7pE\naT7+8WP+b9H/BWah2LIlfPwxhIfDmDHwwgu2E4mIiIh4jY3C5Qn+N9qSm6f9FUTsq1bNFC+VKpmv\nffua1ccCzRVVrmBR30VERUTx703/5uHEhwOzeOnSBd5/30wTe/RRmDDBdiIRERERr9Ak+KKvyE4V\ny2nzZrjuOtP7MmAATJoUmP3ly35ZRpcZXTiVcYpnWj7DyOYjbUfK3dtvm14XhwOmTzfrUIuIiIgU\nQjBPFfPG8ksBuIRTYCoKyyGfzWWXwZIlEBNjFsW6/34IxFqs3UXtmNZjGmGOMEatHsXrG163HSl3\nd9wBzz1nfok332z2eBEREREpoFBZDvlPYBzwBnC0gK+NAe4CHgICcKHcgBIUIy5ZVqyAjh3h5EkY\nORKeecZ2otz9Z+N/uG3hbQC83+19BtQfYDmRB8OHw/PPm40ply6FFi1sJxIREZEiKphHXBYDY4D9\nwBSgAxB7lvPLAB0zz92f+Vr9M3GIadMGPvzQ9JePHg3jxtlOlLtbr7iVl9u+DMDg+YOZu3Wu5UQe\nPPccDB0Kx49D587w1Ve2E4mIiIicE19XS/WBZzAFiQPIAH4Bfsc06DuAcsD5wEWZf04HFmGa+L/3\ncb5gEFQjLlmmTIGBA833EybA7bfbzePJk6uf5Om1T1M8vDiL+i4ioWaC7Uju0tPNdLEZM6BcOVi7\nFurVs51KREREihjbIy7+umk8MAhIAK7C7NeS00ngSyARmIwpbCR/grJwAbOH4j33mP7yGTOgTx/b\nidy5XC7uX3Y/r335GtHFollx8woaV2tsO5a7U6fMetOLF0OVKrB+PVx4oe1UIiIiUoSESuGSUwmg\nKlAB86H7ALAHU7xIwQVt4QJmD8WRIyEiAubPhw4dbCdyl+HK4Jb5t/D+d+9TJrIMawauoX7l+rZj\nuTt2zPwC16wxRcu6dVC1qu1UIiIiUkSEYuEi3hXUhYvLBcOGmV6XyEhYvhyaN7edyl1aRhq9Z/Zm\n7ra5VIypyPrB66lVvpbtWO6OHIHWrU2vS7168MknUL687VQiIiJSBKhwkcIK6sIFTPEydCi89x6U\nKgWrVsGVV9pO5e5E2gk6z+hM0o4k4mPjWT94PdViq9mO5e7vv031t2ULXHUVrFxpfrEiIiIiZ6HC\nRQor6AsXMP3lN90EH31kBgjWroW6dW2ncpd6MpW2U9vy2X8/o3b52qwbvI6KMRVtx3K3dy80bQo7\nd5olkpcsgago26lEREQkgNkuXAJwb3I5F0V9A8q8hIeblcY6dDADBgkJ5jN3oIkpHsPifoupX6k+\n2//ezvVTr+fQ8UO2Y7mrWtVsmlOliul56d3bNPCLiIiI5BAqG1CKf4TEiEuWY8egXTsz4hLI/eV/\npPxBs0nN+PngzzSp1oTl/ZcTUzzGdix3P/5opo0dPAh9+8IHH5gqUUREROQMGnERKYCoKFi4EBo2\nhB07oG1bMwITaCqVrMSKASuoVroan/73U3p83IMTaSdsx3JXrx4sWwYlS5o1p+++2zQViYiIiAQY\nFS5S5JQubT5r161rBgzatzeLZQWa+Nh4km5OokJ0BRJ/TeSmOTeRlpFmO5a7q64y1WCJEvDOO/DY\nY7YTiYiIiLjxZ+FSyY/3kiAXFweJiVCjhlnZt0sXM40s0NSJq0PizYnElohl9tbZDFk4hAxXhu1Y\n7lq0gFmzzIY5Y8eah4iIiEgA8Wfh8l/gY6C1H+8pQey884pGf3mDyg1Y3G8x0cWimfTtJB5c/mBg\n9iR16mRWQHA4YMQIM/oiIiIiEiD8Wbj8BPQEkoDtwMOAdr6TQrnwQkhKgnLlYNEiGDjQLJ0caJrE\nN2Fun7kUCyvG+A3jefqTp21Hyl3fvvD22+b7O++E6dPt5hERERHJ5M/C5VKgKTAFOB94AfgdmA5c\n58ccEmSKSn9525ptmXHDDMIcYTg/cfLqF6/ajpS7oUPh+efNL3HAANP/IiIiImKZreWQywA3A0OA\nepnPbQMmAO8DyZZyFUUhtRzy2axZY5ZKPnECHn00cNs0Jn87mcHzBwMwsctEBl8+2HIiDx57DJ57\nzjTtL10KLVvaTiQiIiIW2V4OORD2cbkWU8D0AqKAY8As4A3gK4u5igoVLjksWgTdu0NamvnMPXy4\n7US5G//FeO5ffj9hjjA+6vkRPev2tB3JncsFd91lpo6VLAkrV8LVV9tOJSIiIpbYLlwCYTnkv4GD\nwPHMP0diRmM2APOBcpZySRF0Zn/5W2/ZTpS7+665j6daPEWGK4N+s/ux/JfltiO5czjgjTegXz9I\nSTHrTv/wg+1UIiIiEqJsFS7Fgb7AGmArcD/wJ/AApmG/DbAc6AwE6EfPwOJwOLIfTqfTdhyrcvaX\n33UXTJ1qN48no5qP4oFrHuBUxim6f9Sd9bvX247kLiwMJk82600fPGh2/Pz1V9upRERExE+cTmf2\nZ0zb/J2gFmZa2CBMgZIGLMAUJ6tyOX8WZvnksn7KVxRpqpgHL7xgel3Cw2HOHPPZO9C4XC5uW3Ab\nE7+dSOkSpVkzcA2XV7ncdix3x49Dhw6werXZPGfdOrMetYiIiISMUJoqtgqzJPJDwAngKaA6Zonk\n3OEPiAQAACAASURBVIoWgG+AWH+Ek+AzbJjpL09PN3u8rFxpO5E7h8PBhM4T6Fm3J4dPHOb6qdfz\n04GfbMdyFxkJ8+ebHpedO83Iy4EDtlOJiIhICPFntZQBrMaMrswD8rPbxqXAFZiVxiR3GnE5C5fL\nLI/81lsQE2OKl0aNbKdydzL9JF0/7MqyX5ZRrXQ11t+ynvjY+P9n767jm7r3P46/UoFiLcWd4TZk\nzIdL8cGQseGMy5377lwo0ztnv8ndmKADxhhDihSK24wJTGC4jw2HtlTz++Pb0tK00NIm3yR9Px+P\n8zjJyUnOO3nkAfn0a7ZjuTp2DNq1M2NdrrwSli+H0FDbqURERMQDbLe4ePKiDTAtLlKwVLhcRGqq\nWZhy6lQID4dVq6BpU9upXMUlxdF1alfW7l1LvTL1WHPbGiqWrGg7lqtDh6B1a9i5E9q2NYvoFCtm\nO5WIiIi4me3CxZNdxa4Fml3knKbAcA9kkUIkIAAmTIA+feD4cYiIgO3bbadyVTy4OFGDorii0hVs\nO7aNLlO7cDzeC5c0qlwZYmKgShVYvRoGDIDERNupRERExM95snCZCNx0kXP6ABPcH0UKm6AgmDED\nOnaEw4ehc2fYv992KldhIWEsHrqYBmUbsOnwJnpO68mZxDO2Y7mqVQuWLoWyZWHhQhg+3AwmEhER\nEXETb1jHJbNA2wHEf6WPL7/2Wtizx7S8/POP7VSuKpSowNJhS6kRVoMN+zfQ94u+JCQn2I7lqnFj\n002sVCn44gu4+24zqEhERETEDbytcKkHeGHfGPEXJUuaBoKmTWHLFujaFU6etJ3KVfWw6sQMi6Fi\niYrE7Ixh0FeDSE5Nth3L1VVXQVSUqQrHjzfzT6t4ERERETdw98CaCZjB4w5gBPBz2pZVIFATaAMs\nALxwxQ2vpcH5l+Cvv8z48h07zD46GooXt53K1abDm2g3sR0nzp5gePPhTOgzgQCHt/29AVMN9ukD\nycnw8svw5JO2E4mIiEgBsz04390XTc3j+d8AwwAtzZ17Klwu0e7d0KaNGevSrZvpRlakiO1Urr7Z\n/w2dJ3cmNimW+665j3e6veMVq9e6+OILGDTItLi8/77pOiYiIiJ+w98Ll8vIaHHZCbwDjMvmuimY\nLmJeOArZ66lwyYctW0zxcuQI3HwzTJ8OgV440ipmZww9p/UkMSWRZ9s+y/MdnrcdKXsffwy3325u\nT5kCQ4fazSMiIiIFxt8Ll8wiMQtQrvLgNQsDFS759OOP0KEDnDoFo0bBJ5+ANzZozNkyhwEzB5Di\nTOGNiDd45IZHbEfK3htvwKOPmgrwq69MFzIRERHxeYWpcBH3UOFSANauhS5dID4eHnoI3nzTO4uX\nKb9MYfgcs9TRxzd+zOiWoy0nysEzz8BLL5m+dwsXQqdOthOJiIhIPtkuXLxwlK+I57VuDbNnQ3Aw\nvP02vPCC7UTZG9Z8GO92fxeA2+ffzszfZlpOlIMXXoB77jELU/bpA99+azuRiIiI+Dh3VkvpM4o9\nCRzOdD83RrkrlB9y+UzHjBlDZGSkhSi+78sv4dZbITUVxo2DBx6wnSh7L61+iWdWPENQQBBzb51L\nj3o9bEdylZoKI0easS7h4bBqlZmHWkRERHxGZGQkY8eOzXrY77qKpc8o1hD4k7zNMKaWoNxTV7EC\n9tln8K9/mdsTJpjf3t7G6XTy2NLHeGPDG4QEhRA9NJq2NdvajuUqOdnMejBnDlSqBGvWQN26tlOJ\niIjIJbDdVcydF70sbb8fSM50Pzd2F3AWf6bCxQ3GjTNjXQICYOZM6N/fdiJXTqeTO6Lu4OMfP6ZU\nkVKsGLGCK6tcaTuWq7NnoVcvWLYMatY0A4qqVbOdSkRERPLInwuXrEoDJzx4vcJChYubREbC2LFm\n3Mv8+dC1q+1ErlJSUxgyewhf/PYF5YqXY/XI1TQq38h2LFdnzkDnzmasS8OGsHo1lC9vO5WIiIjk\nge3CxZNdsv4CZgI9PXxdkUsyZowZ45KUBH37wrp1thO5CgwIZHLfyfSo14MjcUeImBLB7hO7bcdy\nVbKkmV2saVOzeE63bnDypO1UIiIi4kM8WS39ATRIu30Y+ByYBGz2YAZ/pBYXN0pNhdGjzViXsDBY\nsQKuuMJ2KldxSXF0/7w7q/espk54HdbctobKpSrbjuXqr7/MFG47dpiVPxcvhuLFbacSERGRXLDd\n4uLpi14DjABuBcLTjv2MKWA+B454OI8/UOHiZsnJZqaxr74yvZvWrIEGDS7+PE87lXCKjpM6svHQ\nRi6vcDmrRq6iTLEytmO52r3bFC8HDkD37mbgfpEitlOJiIjIRRS2wiVdEeBGTBHTHQgEkoBFmCLm\na0u5fJEKFw9ISIDevWHJEqhe3Ywvr1HDdipXR+KO0HZCW/448gfXVL2GmGExlCpaynYsV3/8AW3b\nwpEjMHAgTJsGgYG2U4mIiMgFFNbCJbMKwGBgONAC80Ncv2ByT4WLh8TGmgH669ZBvXqm5aViRdup\nXB04dYDWE1qz+8RuOtbqyILBCwgJCrEdy9WPP0KHDnDqlOmPN348OLzhnyQRERHJju3CxRsGyf8D\n/J62JeEdxZSIixIlICoKWrSAbdugSxc4ftx2KldVQ6sSMyyGSiUrsXzXcm6ddStJKUm2Y7lq2dJ8\noMWKwSefwKOPggpwERERyYHNwqUR8F9gH7AY0+qyB3jWYiaRCypdGqKjzRiXTZugZ08z06+3qVOm\nDkuHLSU8JJy5W+cyat4oUp15WQPWQ9q0gdmzzZzTb74JL79sO5GIiIh4KU+3bpQBBmHGtlyVduwU\nZprkicB6D+fxB+oqZsG+fWZ8+d69ZnmS+fMhxAt7Y3134Ds6Te7EmcQz3H3V3bzX473Mzbze48sv\nzQwIqanwf/8H991nO5GIiIhkYburmCcvOhvogRmYnwoswxQrXwNnPZjD36hwsWTbNtNgcPgw3HST\n+e0dFGQ7lasVu1bQ/fPuJKQk8FTrp3ip00u2I2Xv00/NWBeASZNg+HC7eUREROQ8halwSQW2YmYN\nmwIc8OC1/ZkKF4s2bYJ27eDECfM7e8IECPCGkWNZzNs6j35f9CPFmcKrnV/lsVaP2Y6Uvbfegkce\nMR/irFlm5U8RERHxCoWpcLkO+MaD1yssVLhY9s03prtYbCzce6/p6eSNvbGmbZ7G0NlDceLko14f\ncfuVt9uOlL3nnoMXXjBruyxYYD5cERERsc524eLJvw0X1qKlLTAP2I9pdRqRzTm70x7LukV5JqLk\nx3XXZayh+N575ne3NxrcdDDv93gfgDuj7mT65umWE+Vg7FgzxiUx0fTB27DBdiIRERHxAl7YqcXv\nlAA2AQ8A8aS1kGRxJVAp09Yy7bwvPJRR8qlzZ/jiC7OG4osvwhtv2E6UvbuuvotXOr2CEyfD5wwn\n6k8vrI0dDhg3DkaMMM1YPXqYPnkiIiJSqLmzmWcC5sf3k8DhTPdzY5S7Qll2GrgHmHyR854GHgEq\nAwkXOVddxbzIlCkZY8rHj4d//9tunpw8EfMEr657lZCgEBYNWUT7y9rbjuQqORkGDoSvvzYrfa5Z\nY1b+FBEREStsdxVz50XTF41oCPyZ6X5u+GtLUG4KFwewA9NN7P5cvKYKFy/z/vtmrIvDAdOnwy23\n2E7kyul0cveCu/lw44eULFKS5cOXc3XVq23HcpWQADfeCEuXQo0asHYtVK9uO5WIiEih5M+Fy2Vp\n+/1Acqb7ubG7gLN4i9wULl0wC3I2Bzbn4jVVuHihl1+Gp5820yPPnWt6O3mbVGcqw74exrTN0yhT\nrAyrR66mSYUmtmO5io2FiAgz1qVBA1i9GipUsJ1KRESk0PHnwqWwGQJ8mOl+N2BdlnNyU7h8CVTH\nzMKWGypcvJDTCY8/Dq+/bhamXLzYTJvsbZJSkug3sx9Rf0ZRuWRl1o5aS+3w2rZjuTp+HNq3N2Nd\nWrSAFSugdGnbqURERAoV24WLJ7tkjQCaXeScpoA7V50bALwLrAFOYbqvTbnIc6oBnwEHMQtl7gLe\nBrL+apqLaSVJ3zZeQr4KQG/g40t4rngRhwNefRVuvx3OnjW9nX74wXYqV8GBwcwcMJP2l7Xn0JlD\ndJ7cmYOnD9qO5So8HJYsgbp14eefoVcviIuznUpEREQ8yJOFywTgpouc0yftPHd5BtPi0QzThQ0u\nPGFAHUwBMhIznfNbwE7MDGEbgDKZzj2T9lj6dvYS8o1Me56XzlMreeFwwAcfwK23wunT0LUr/Pqr\n7VSuigUXY96t87i6ytXsOrGLiCkRHI07ajuWq4oVISYGqlWDdeugXz8zZbKIiIgUCt42CD7Qza//\nIFAPCAPuysX5HwDlgfuAfsBTQCdMi0sD4KVcvEYJoEXaFgDUTLuddYSxAxgNzAD0p2Q/ERgIkyeb\nFpdjx8y0ydu22U7lqlTRUiwasogm5Zvw+z+/0+3zbpxKOGU7lquaNU3xUr48REfDkCGQkmI7lYiI\niHiAtxUu9YDjbnz9lZgZu+DiffPqABGYrmHvZ3lsDKa4GAoUv8jrXA38mLaFAGPTbo/Ncl77tGuq\nm5ifCQ6GmTOhUyc4fNjs9+yxncpV2eJlWTJsCbXDa/PDwR/oPb038UnxtmO5atDAFC1hYTBrlumP\npzFeIiIifs/dA2vS125xYMa4/Jy2ZRWIaYloAyzAjPNwt/bAcmAq2Y+rGQ2MBz4i+9aZaExh0znt\ndWzR4HwfceaM6S62fr0ZqrF6NVSubDuVq13Hd9F6QmsOnj5Ir/q9mD1wNsGBwbZjuVq3zsw2Fh8P\nDz0Eb75p+ueJiIiIW/j74PwRmHEbI9Lut0i7n3UbBrQFvgUecnOm3GqQtv8zh8fTO/xoRTzJlZIl\nYcECaNkStm83v7mPHLGdylWt8FosHbaUssXKEvVnFCPmjCAl1Qu7Y7VqZRanDA6Gt9+GF1+0nUhE\nRETcyN2FS22gVtoe4J1M9zNvNYFQ4AYyunLZFpa2P5nD4+nHvWJOVofDkeMWGRlpO56kKV3a9HJq\n3Bh++820wJzM6RtmUePyjVk8dDGlipRi+q/TuWfhPd7Zqte1K0ybBgEB8Nxz8M47thOJiIj4tMjI\nyBx/U9rm7sJlN7Anbf88MCfT/czbPsysXHKJnE5njpsKF+9SrpxZCL5OHfjxR+jZ06yx6G2uqnIV\n8wfNJyQohI82fsSTy560HSl7AwbAx2lDwx58ECZOtBpHRETEl0VGRub4m9I2Tw7OjwRWefB6+ZX+\nd/CwHB5PP37CA1nEz1SpAsuWZczse9NNZr0Xb9PusnbMunkWQQFBvLruVf679r+2I2Vv1CjTXQzg\nX/+C2bPt5hEREZECF+TG104fmP8kcDjT/dwY5a5QebAlbd8gh8fTx7bkNAZG5IJq1jTFS9u2Zobf\nW24xk2QFe9k4+J71ezKl7xQGfzWYJ5c9SVjRMO66OjeziXvYgw/CiRMwdqxZPCcqCrp0sZ1KRERE\nCog7O6ulpu0bYn7cp17g3Kw80RLUngvPKlYb2I6ZDrku5xddpYBDaccqADbnjHUpBseMGaPuYT5k\n82Zo1w6OHze/t6dONeu/eJvxG8dzR9QdOHAwue9khjYbajuSK6cTHn4Yxo2D4sVNn7wbbrCdSkRE\nxGdFRkYydmzWVTzszCrmzotelrbfDyRnup8buws4S3bac+HCBWAx0AW4H3gv0/G3MItZfgjc7b6I\nuaLpkP3A99+b9V1OnzY9ncaPN+PNvc3r617nsZjHCHQEMvuW2fRu4ImZy/MoNRVGj4YJE8xaL6tW\nQfPmtlOJiIj4PNvTIdufHsCzbkrbACphipKdwNq0Y/8Aj2Y6vzawHtOqMhfTfexaTNGzFTMLmjsX\nzMwNFS5+YvVq6NbNLEty//2m0cALJvBw8fSyp3l57csUDSzKwiEL6Viro+1IrpKTTfPVV19BhQqw\nZg3Ur287lYiIiE9T4eJZY9K2rL/y0z+H3WRM3ZyuGmZGtG5AWeAg8DUwlpynSvYkFS5+JDoaeveG\nxER4+mnvXJrE6XRy36L7eP/79ykRXIJlw5dxbbVrbcdylZBgPswlS6B6dVi7FmrUsJ1KRETEZ6lw\ngXJAGyAOiAG8cKU7r6bCxc/MmWNm+E1JgVdegSeesJ3IVaozlRFzRjB101TCQ8JZfdtqLq9wue1Y\nrmJjzQD99etNi8vq1VCxou1UIiIiPsl24eLJXvR3Ad8CZTIduxLT/eorYBGwASjhwUx+QwtO+o+b\nboJJk0w3sSefhPfeu/hzPC3AEcCEPhPo06APx88eJ2JKBNuPbbcdy1WJErBgAbRoAX/+aRasPKEZ\nzEVERHIr84KUtnkywUqgGGaMSLrlQFtgIlAR6Ak8BrzhwVy+Ti0ufurjj+H2283tzz6D226zmyc7\nZ5PP0nNaT5bvWk7NsJqsHbWWaqHVbMdy9fff0KaNKV5uuMF0Hyuhv5GIiIjkRWFqcakH/JLpfnmg\nHfAZMBq4EfgBGOTBTCJe69//hrfeMrdHj4aZM+3myU5IUAhzb53LtVWvZc/JPURMieCf2H9sx3JV\noYKZGrl6ddNtrF8/MwZGREREfIYnC5eywN+Z7rfCVGtfZzq2hrxNmyzi1x56CJ5/3szwO2SIWVPR\n25QsUpKFQxbStEJTthzZQrfPu3HyrDfMW5FFjRpmpc8KFUyLy5AhZvYxERER8QmeLFyOYwbip2uL\nWZRyfaZjTiDEg5lEvN4zz8Bjj5nf2AMGwLJlthO5KlOsDEuGLaFOeB1+PPQjN06/kbikONuxXNWv\nb4qWsDAzVfK//22qQhEREfF6nixcfsd0BysHlAZuBb7n/CmFawJ/eTCT39DgfP/lcMB//wt33216\nN/XpY3o7eZtKJSsRMzyGqqWqsmbvGgbMHEBiSqLtWK6aN4eFC6F4cZg4ER5+GDRGTEREJFuFdXB+\nb2AOkICZ8rg4MAKYkumcfZhipp8Hc/k6Dc4vJFJTzQD9yZNNg8Hy5dCype1Urv745w/aTmzLkbgj\nDGwykGn9phEYEGg7lqulS6FXL7NozpgxoIJfRETkggrT4Px5wJ2YlpetwCOcX7R0AEoB0R7MJOIz\nAgLg00+hf384eRIiImDzZtupXDUq34joodGEFg1l5m8zuTPqTu8srCMiYPp088GOHQtvv207kYiI\niFyA/TYfyS+1uBQyiYmmeImKgvLlYdUqaNTIdipXa/asoevUrsQnx/PI9Y/wesTrXtHM7GLixIy5\npj/9FEaNshpHRETEWxWmFhcRKQBFisCXX5oF4f/5Bzp1gm3bbKdy1aZmG2bfMpvggGDe3PAmL695\n2Xak7I0cCe+8Y27/+98wa5bVOCIiIpI9Txcu7YEFmGmRkzBjXTJvqWl7EbmAkBCYMwc6dIBDh6Bj\nR9i1y3YqV93qduPzfp8T4AjgmRXP8N5379mOlL3778+Yd3rwYIhWj1URERFv48nCpScQA3QH4oFv\nMeu2ZN5Wp22SR5pVrPApVgzmz4fWrWH/flPE7N1rO5Wrm5vczPhe4wG4b9F9TP5lsuVEOXjmGTPD\nWFIS9O0La9faTiQiImJdYZ1V7HvgcqAPsMSD1/V3GuNSyJ06ZbqNffst1KljxrxUrWo7lau3NrzF\nI0seIcARwKybZ9G3UV/bkVw5naa72KefQmgorFwJV1xhO5WIiIhXsD3GxZMXjQe+AEZ68JqFgQoX\n4cQJ6NwZNm6EBg3M7+1KlWyncvXciud4YfULFAkswoLBC+hcu7PtSK5SUmDQIDOQqHx5WLPGfKgi\nIiKFnO3CxZNdxWKBox68nkihUbq0WRC+WTPYutUUMf/8YzuVq7Htx3L/NfeTmJLITTNuYsO+DbYj\nuQoMhKlToVs38yF27gx79thOJSIiUuh5snCJAa734PVECpUyZSAmBho3ht9+M8uUHDtmO9X5HA4H\nb3d7mxHNRxCbFEuPaT3YdHiT7ViuihSBr77KGEDUuTMcPmw7lYiISKHmycLlCaAO8CxaP0bELcqX\nh2XLoH59+OUX6NrVLFbpTQIcAXzS+xP6NuzLibMn6DKlC9uOeuF8zsWLm8VyrrgCtm83A4mOH7ed\nSkREpNDyZAExAaiJmRJ5N/AzcCKHc7UCXO5pjIu4OHAA2raFnTvhuutMN7JSpWynOl9CcgI3Tr+R\npTuXUiOsBmtvW0v1sOq2Y7n6+2/zYW7dCtdfbz7MkiVtpxIREfE422NcPHnR1Dycq4Uxc8+lYhkz\nZoymRBb27DG/t/fuhTZtYNEiKFHCdqrzxSbGEjElgg37N9CgbANW37aaCiUq2I7lav9+021szx7T\nbSwqCooWtZ1KRETE7SIjIxk7dmzWw35fuFyWh3N3uymDP1KLi+Ro505TvBw4YBapjIoy6794kxNn\nT9B+Ynt+OfwLLSq1YMWIFZQOKW07lqtt20wFePiwWedl5kwICrKdSkRExGMKU4uLuIcKF7mgP/+E\ndu3gr7/MmJc5cyAkxHaq8x0+c5g2E9qw7dg2WlVvxZJhSygeXNx2LFebNpkP88QJGDECPvsMAtRA\nLCIihYPtwkX/44r4ufr1zYD98uUhOto0Fpw9azvV+SqWrEjM8Biqh1Zn3b519PuiHwnJCbZjuWrW\nLKPP3aRJ8OCDZtFKERERcTtbhUsJoCXQxtL1RQqVxo1h+XIoVw4WL4abbvK+4qVGWA2WDltK+eLl\nid4RzZDZQ0hOTbYdy9V115lmqyJF4N13YcwY24lEREQKBU8XLtWB2ZjZxH4AVmZ6rA3wO2bWMREp\nYJdfDitWZLS8eGPx0qBcA5YMW0JY0TC++uMrbp9/O6nOvMzr4SGdO8OMGWaxyhdegDfftJ1IRETE\n73mycKkMfAP0BqKADZzfP+5boCJwiwcziRQql19uWl7Si5c+fSA+3naq87Wo1IIFgxdQPLg4E36e\nwCPRj3jnGK6+fc0YF4D//Ac++cRuHhERET/nycJlDKYw6QL0BZZmeTwRWAO08mAmkUInveWlQgWz\nJMlNN3lf8dKqRiu+vuVrggOCGfftOF5Y/YLtSNkbPtx0FwO4/XYz05iIiIi4hScLlx7APGD5Bc7Z\nC1TxTByRwqtJk/OLF29seelSpwvT+08nwBHAmJVjeOebd2xHyt6998KLL5pB+kOHmsH7IiIiUuA8\nWbhUBP68yDlJgJakvgQOh+PcpsUnJTcaN84oXpYu9c7ipX/j/nxyo+mC9WD0g0z4aYLlRDl46inT\nXSwpCfr3hzVrbCcSEREpEJGRked+Y9rmyQR/AcuAIWn3I4HnOL94mgc0I2+LVRZ2WsdF8uX3383i\nlIcPmzHn8+Z53yKV73zzDg9GP0iAI4CZA2bSv3F/25FcOZ2mu9gnn0BoqKkKW7a0nUpERKTAFKZ1\nXNZiBuZXzuHxekA3YIXHEonIuZaXihUhJgZ694a4ONupzvfAdQ8wtv1YUp2pDPpqENHbo21HcuVw\nwIcfwsCBcOqUWe3zjz9spxIREfEbnixcXgeKAauA7mm3wXQN64GZacwJaF5REQ9r1Mi1eImNtZ3q\nfM+2fZaHrnuIpNQk+n7Rl7V719qO5CowEKZMge7d4cgRiIiA3bttpxIREfELnm7mGQV8CARlOuZM\ny5GU9vjnHs7k69RVTArMli3QoQP89Re0agULFkBYmO1UGZxOJ6Pnjeaznz8jtGgoy4Yv46oqV9mO\n5SouDrp1M2Nd6tQx+8o5NTaLiIj4BttdxWxctD5wF3A9UBY4iVnT5T1gq4U8vk6FixSobdugUyfY\ntw+uugoWL4ayZW2nypCSmsKQ2UP44rcvKFOsDKtGruLyCpfbjuXq5EkzeOjHH80c1KtWQZkytlOJ\niIhcssJYuEjBUuEiBW7PHvObe+dO85t76VKoVMl2qgxJKUn0n9mf+X/Op1LJSqweuZp6ZevZjuXq\nyBFo29aMdbn2WtMPr6QmThQREd9U2AuXPkCHtByrga/sxvFJKlzELQ4eNLOM/fEH1K9vfnNXr247\nVYazyWfpNa0Xy3Yto3poddbctoaapWvajuXqwAFo3dqMdenUCaKiICTEdioREZE88/fC5UbgUeBZ\nzKD8zCYCw7McmwP0c3Mmf6PCRdzmn3+gSxf4+WeoWROWL4fatW2nynAm8Qxdp3Zl/b711C1Tl9Uj\nV1O5lBeOJdm+Hdq0MYOH+vSBWbMgKOjizxMREfEitgsXd88q1hu4Evguy/FemKIlFngReALYAdwE\nDHZzJhHJpfLlTbFy7bWm+1ibNmYAv7coWaQkCwYvoGXllmw/tp2IKREcjTtqO5arunVhyRIID4e5\nc2HUKEhNtZ1KRETEp7i7cLkGWANkXY97VKb9c8BrQBvgLCpcRLxKeLgZ49K2rek+1rYt/PKL7VQZ\nSoeUJnpoNI3LN+a3f36j69SunDx70nYsV02bwqJFUKKEmTL5/vvNopUiIiKSK+4uXCoBv2ZzvB1w\nnPPHtPwFLACucHMmv+RwOM5tkZGRtuOInylVyvzm7trVdB9r3x42bLCdKkO54uVYOmwpdcLrsPHQ\nRnpO60lsopctRAOm6WrePChaFN5/H5591nYiERGRC4qMjDz3G9M2dydIBN4Ansp0rCawC5iPGZyf\n2WvAA0BRN+fyJxrjIh6TkAC33gpz5kCxYvDll9Czp+1UGfac2EObCW3Yd2ofEbUjmDdoHiFBXjgQ\nfu5c6N8fUlLgtdfg0UdtJxIREbkofx/jcgaoluVYy7T9Tzk856z74ohIfhQtaoqVUaMgPt6MM588\n2XaqDDVL1yRmeAwVS1Rk6c6l3DLrFpJSkmzHctWnD0ycaG4/9hh8/LHVOCIiIr7A3YXLZqAnUCrT\nsb5p+3XZnH8ZcMjNmUQkH4KC4JNP4MknTYPBiBHwxhu2U2WoX7Y+S4ctJTwknHlb5zF8znBSUlNs\nx3I1dKjpLgZwxx3wxRd284iIiHg5dxcuU4FwzFTI9wPvA0Mw41lWZDnXAbQGfndzJhHJJ4cD/LTc\nsQAAIABJREFUXn4Zxo0z9x99FP7zH++ZKKtpxaZED42mVJFSzPh1BndE3UGq00vCZXb33eaDdDpN\nIbNwoe1EIiIiXsvd/dMCgSiga6ZjScBQ4Mss53YGlgD3Ah+4OZc/0RgXsWr6dNPqkpQEw4bBp59C\ncLDtVMaaPWvoOrUr8cnx3H/N/YzrNs4rBheex+mEJ54wY11CQiA62kzdJiIi4mVsj3HxxEUDgUHA\nDcARYDbwczbnDcJMn/wmsN8DufyFChexbskS6NcPYmOhe3eYORNKlrSdyojeHk3vGb1JTEnk6TZP\n82LHF21HcuV0wp13wvjxZgq3FSvgyittpxIRETlPYShcxL1UuIhX+P576NEDjhyBFi0gKgqqVrWd\nypizZQ4DZg4gxZnCK51e4YnWT9iO5ColxXQXmzEDypaF1auhcWPbqURERM5R4SL5pcJFvMb27aZ4\n2bbNFC0LFkDz5rZTGZ9v+pxhXw/DiZN3u7/LvdfcazuSq6Qk6NvXfHBVqsDatVCrlu1UIiIigP3C\nxd2D80WkEKlb1yxM2aYNHDgArVt7z3jzIc2G8FGvjwC4b9F9TPhpguVE2QgONvNNt2sHBw9C585w\nSBMtioiIgAoXESlgZcvC0qUwZAicOQM33pgx669t/77y37zV5S0ARs8fzczfZlpOlI1ixWDePLjq\nKti5EyIi4OhR26lERESsU+EiIgWuaFGYMgWee85MkXzvvXDXXZCYaDsZPHT9Qzzf/nlSnakMmT2E\nqD+jbEdyFRoKixaZMS6//Wb6350+bTuViIiIVRrj4vs0xkW82tSpMHo0JCSYrmOzZkHFinYzOZ1O\nnoh5gtfWv0bRwKIsGLyATrU72Q2VnQMHTL+7XbugQwfT7y4kxHYqEREppGyPcVHh4vtUuIjX+/57\nM+b8wAGoVg3mzLE/26/T6eTehffywQ8fUDy4OEuGLqFVjVZ2Q2Vn505T8R06BL17m8rPWxbKERGR\nQsV24aKuYiLidldfDT/8ADfcAPv3m9/hn39uN5PD4eDdHu8yovkI4pLi6P55d77d/63dUNmpXdss\nlFOmjBn7ctttpv+diIhIIaPCRUQ8olIlWL7cdBs7e9YsWXL33ea2LQGOAD7p/Qm3NLmF04mn6Tq1\nKz8e+tFeoJxcfrkZ81KypKn47r3XLFopIiJSiKhw8RMOh+PcFhkZaTuOSLaKFjWLw3/wARQpAv/7\nn2mF2bHDXqaggCCm9J1C34Z9OZlwkogpEWw+vNleoJxcc41pcSla1HxwTz9tO5GIiBQCkZGR535j\n2mY/geSXxriIT9q4EQYONEM4QkPh009hwAB7eRJTEuk/sz9Rf0ZRvnh5Vo1cRaPyjewFysn8+dCv\nHyQnw3//C48/bjuRiIgUEhrjIiKF0pVXwo8/Qv/+cOoU3Hyz6QEVH28nT5HAInx585d0qdOFf+L+\nodPkTmw7us1OmAu58UaYPBkcDnjiCfjoI9uJREREPEItLr5PLS7i05xOs0Dlww9DUhI0bGjWgLnq\nKjt54pPi6TmtJyt2r6BaaDVWj1xNrfBadsJcyIcfmsVxHA4z7mXQINuJRETEz6nFRUQKNYfDtLRs\n2ACNGsGWLXDddTB2rClkPK1YcDHmD5pP6xqt2X9qPx0mdWDvyb2eD3Ixd95puoo5nTB8OER54UKa\nIiIiBUgtLr5PLS7iN+Lj4amnYNw4c//qq02vqIYNPZ/lVMIpukzpwrcHvqVOeB1WjVxF1dCqng9y\nMU8+aQqYkBAz81j79rYTiYiIn7Ld4qLCxfepcBG/s2IFjBwJe/eaSbSeeQYefdTc9qQTZ0/QaXIn\nfjz0Iw3KNmDlyJVUKlnJsyEuxuk080p/+KGZLnn5clPxiYiIFDAVLpJfKlzEL508CQ8+CBMnmvsN\nG5pZgD3doHA07igdJ3dk0+FNNCnfhJUjV1KueDnPhriY1FQYNgymTTMLVa5eDU2a2E4lIiJ+RoWL\n5JcKF/FrK1aYMehbt5r7w4fDG29A+fKey/B37N90mNSB3//5nRaVWrBs+DLKFCvjuQC5kZRkpmib\nPx8qV4a1a6F2bdupRETEj9guXDQ4X0S8WocO8Msv8PzzpqvY5MlQvz68+SacPeuZDBVKVCBmWAz1\nytTj579+puvUrpw8e9IzF8+t4GCYOdN8YIcOQefOcPCg7VQiIiIFRi0uvk8tLlJobN8O99wDS5aY\n+zVrwksvmZmAAzzwZ5j9p/bTdkJbdp3YxfXVrid6aDSlipZy/4Xz4vRp6NQJvv8eGjc23cbKlrWd\nSkRE/IBaXEREcqluXVi8GBYuhMsvhz17YOhQs+bL0qVmnLo7VQutxvIRy6kRVoMN+zfQY1oPziSe\nce9F86pUKTO7WJMm8Pvv0K2bWeFTRETEx6lwERGf4nBA9+7w888wYQJUrQo//QRdusD118PcuWas\nurtcVvoylg9fTtVSVVm7dy3dP+/O6YTT7rvgpShb1jRL1a4NP/wAvXubuaZFRER8mLqK+T51FZNC\nLS4O/u//zID9o0fNsSZN4PHH4dZbzdAPd9h+bDsdJnVg/6n9tKreikVDFnlft7Fdu6B1azPWpVcv\nmD3bfR+IiIj4PXUV839tgXnAfiAVGJHNOUHAy8BOID5t/wIQ6KGMIj6reHF44gnTbWzcOKhWDX77\nzcw+VreuGQNz6FDBX7dumbqsGLGCaqHVWLdvnXe2vNSqZfrQlS0LUVEwYgSkpNhOJSIicklUuLhf\nCWAT8ACmKMmuaeQp4A7gPqBB2rl3A096KKOIzytRAh54AHbsgM8+gwYNzAKWzzwDNWqYmYKjowu2\nG1ndMnVZOWLlueKl2+fdvK94adzYDAwqVQqmTzezG6iFVkREfJC6innWaeAeYHKW4/OBI8BtmY5N\nAsKB3hd5TXUVE8lGairExMBHH5lxL+kNDTVrwi23wMCB0LKlGTOTXzuO7aDDpA7sO7WPG6rfwKIh\niwgtGpr/Fy5Iq1aZgfpnz5p+dP/9r+1EIiLiY9RVTAAWAR0xrS0AjYEOwEJriUR8XECAGbD/1Vew\nbx+8+KIpWvbsgddeMzOR1a0LTz4JGzfmryWmTpk6rBy5kuqh1Vm/bz3dpnbjVIKXzeTVrh3MmgVB\nQfDqqypcRETE56jFxbNyanEBM8blCSAZM+blReC5XLymWlxEciklBdatM+s0zpoFhw9nPFahgil0\nunSBiAioVCnvr7/z+E46TOrA3pN7ub7a9Sweutj7Wl5mzIDBg013sQ8+gLvusp1IRER8hO0WFxUu\nBWcI8GGm+92AdVnOyalwuR8znuUB4DfgCuAd4FHgs4tcV4WLyCVISYE1a0wRM28eHDhw/uNNm0Kr\nVmaK5euvN60zuelWlrl4ua7adSwespiwkDD3vIlLNX483HGHeUNTpsCQIbYTiYiID1Dh4lkDgHZA\nC6A5UBL4HBh2gedUA57HFCJlgEPAHGAscCLTeSWBCpnuHwTOZnmtnAqXw5gWlnczHXsaGAnUu/Bb\nUuEikl9OJ/zxh1n6ZMkSWLnSddmTcuXg2muheXNo1sxs9eqZnldZ7Tq+i/aT2nt38fL66/DYYxAY\naKZJ7n2x4XQiIlLYqXDxrJ+BZpgC4gDQEJgKDM/h/DrAeqA8pljZAlyLGX+yFWgFHMvD9XMqXP7G\nFELvZzr2JPAvoO5FXlOFi0gBO3sWvvsONmzI2P7+2/W8okWhYUPTGlOnjtlq1zb75FK7iJjagT0n\n93B1latZPHQxZYqV8fybuZCnn4aXXzZvJCoKOne2nUhERLyYChfPag/sA3ZgWl5WcOHCJRqIwExT\nnLmoeBN4CPgIuFgH8RJktJqsA/6LmUXsaFoWgPFAd8yUyL9juop9hJlZ7NGLvL4KFxE3czrNWo7f\nfw+bN8OmTWa/e3fOzwkKgooNdnOkZwcSiu+mbFIzRhddSr0qFahc2bTghIebrXTp7Ftu3M7phPvu\ng/ffNwviLFli+seJiIhkQ4WLPe2B5eRcuNQBtgG70m5nVhL4C1M0VATicnEd0s5P/8wnAqPSbpfA\ntLj0T3u9Q8B0TBe1xIu8DxUuIpacOmW6mO3YATt3mn367XNjZkL3w/BOUO5PONIAJi2D01VdXqtU\nqYxCpkwZCAsztUSJEhn7zLfT98WKQZEiEBxs9ulb5vtZbwdmXto2NRX+9S+YOBFCQ2HFCjNPtIiI\nSBYqXOxpz4ULl9GYlpCcWlXSW2M6k1GY2KDCRcQLxceb4uXQIfhj32Eid0RwKHUzJZNq0eKXZcQf\nqsXx43D8OJw44dk1IQMCTPESEGC24IAUJiYMom/ylxx1lOWm0qvYXrTJucfTz838nKzH0v8vy8++\nIF7jQnvJoM/ElT4TV/pMJKuFC+0WLjY6J/iK9DVV/szh8W2YwqUedgsXEfFCxYqZsS9160IbKjIg\nfiVdp3blh4M/sLtjW2KGxdCgnPlnJjXVtN6kFzLHj8PJkxAXZ7bY2Ix95tvpjyclmS0x0WyZb2d3\nPzX1/HVr4gnkFqYymzh6ORcw83hn2rCGHRcdYiciIuI5Klxylj4F0MkcHk8/XtoDWUTEx5UpVoaY\nYTH0mt6LtXvX0naiKV6aVmxKQIAZ51K6NNSq5f4syckZxUtKSvq+CKmxX5I4qBeV1yxnS9VOHJm9\nhsRKNc477/znZOwho9XoUvb5eW5u9pJBn4krfSau9JlIdnr1snt9FS5+wnGB9twxY8YQGRnpuTAi\nkq2wkDAWD1nMTV/cRMzOGNpPak/00GiuqnKVR3PkOBFA6WKwcC506ULQhg1UGtoZVq++tNU4RUTE\nJ0VGRjJ27FjbMbIVYDuAF0tvUclp8YX04ydyeNyjnE5njpuKFhHvUaJICeYPms+N9W/kWPwxOk7q\nyNq9a23HylCyJCxcCC1awLZtEBEBR4/aTiUiIh4SGRmZ429K21S45GxL2r5BDo+nT3Gc0xgYEZFs\nhQSF8NXArxjYZCCnE0/TZUoXFm1bZDtWhtKlzdTIjRrBr79Ct25mEI6IiIhFKlxytiJtH4HrzAml\nMItPxgLfeDKUiPiH4MBgpvWbxm0tbiM+OZ7eM3oz5ZcptmNlKF8eYmLMipo//AA9e5oZAURERCxR\n4ZKzncASoBZmtfvMxgLFgSlAvIdzZcvhcJzb1DVMxDcEBgTyae9PebzV4ySnJjN8znDeXP+m7VgZ\nqlSBZcugWjVYuxb69oWEBNupRETEgyIjI8/9xrTNfgLPuiltA6gEdMEUKOkdzP/h/JXqawPrgQrA\nXEz3sWsxa8BsBW4Ajrs79EVoHRcRP/D2hrd5eMnDADx6w6O82vlVr/hPAoCtW6FtW/j7b+jTB778\n0qxkKSIihYoWoPSsMWlb1l/56Z/Dbkyxklk1zAr23YCywEHga0yrS05TJXuSChcRP/H5ps8ZOXck\nyanJjGg+go9v/JjgQC8pEDZtgvbtzSIzgwfD5Mlm9UkRESk0VLhIfqlwEfEj0duj6T+zP7FJsfSo\n14OZA2ZSokgJ27GM776DTp3gzBkYPRrGj9fS2iIihYjtwkVjXPyExriI+IeudbuyfMRyyhYry8Jt\nC+k0uROHzxy2Hcu45hqIioKQEPjkE3j4Ya1SJyLi5zTGRQqSWlxE/NDWI1vpOrUre07u4bLSl7Fg\n8AIal29sO5axeDH07g1JSfDss/D887YTiYiIB9hucVHh4vtUuIj4qcNnDtN7Rm++O/AdYUXDmH3L\nbDrW6mg7lvH113DzzZCSAq++Co89ZjuRiIi4me3CRV3FRES8VMWSFVkxYgX9GvXjZMJJuk7tyoSf\nJtiOZfTtCxMnmjEujz8OH3xgO5GIiPg5FS4iIl6seHBxvrz5S/5z/X9ITk1m1LxRPLXsKVKdqbaj\nwdCh8L//mdv33AOTJtnNIyIifk2Fi5/Q4HwR/xXgCOD1Lq/zv57/I9ARyCtrX6HPjD6cPOsFM7Lf\ncQe8mbZo5qhRZo0XERHxGxqcLwVJY1xECpFlO5cxcNZAjsUfo0HZBsy9dS4NyjWwHQvGjoXISAgK\ngjlzoGdP24lERKSA2R7josLF96lwESlkdh7fSZ8Zffj1718JLRrK9P7T6VGvh91QTqcZoP/GG1C0\nqJk2uXNnu5lERKRA2S5c1FVMRMTH1A6vzYZ/baB/o/6cSjhFr2m9eHnNy3bHvTgc8NprcNddkJBg\npktetcpeHhER8TtqcfF9anERKaRSnam8vOZlnl3xLADd63Znct/JlCtezmKoVLj9dvj0UyhRApYs\ngRtusJdHREQKjO0WFxUuvk+Fi0ght2jbIoZ9PYyj8UepFlqNGf1n0KpGK3uBUlJg5EiYOhVCQyEm\nBq6+2l4eEREpELYLF3UV8xOaVUyk8Operzs/3fETN1S/gf2n9tNuYjteW/eava5jgYEwYYJZoPLU\nKejSBX76yU4WERHJF80qJgVJLS4iAkBSShJPL3+a19e/DkC3ut34rPdnVC5V2VKgJBg40MwyVrYs\nrFgBTZvaySIiIvlmu8VFhYvvU+EiIueJ+jOKEXNGcCz+GGWKleF/Pf/HwCYD7YRJSIB+/WDhQqhQ\nwQzYb9jQThYREckXFS6SXypcRMTFwdMH+de8f7F4+2IABl0+iPd6vEeZYmU8H+bsWTPL2NKlULky\nrF4Ndet6PoeIiOSLChfJLxUuIpItp9PJRxs/4pEljxCXFEeVUlX45MZP6F6vu+fDxMWZRSlXroTq\n1U3xctllns8hIiKXTIWL5JcKFxG5oO3HtjP86+Fs2L8BgFua3MLbXd/2/NiXM2ega1dYv94ULatX\nmyJGRER8ggoXyS8VLiJyUSmpKby14S3GrBxDfHI8oUVDeanjS9x11V0EBgR6LsjJkxARAd9/b7qL\nrVoFVap47voiInLJbBcumg7ZT2g6ZBG5kMCAQB5t9Si/3/M7ver34lTCKe5bdB/XfnIt3x/43nNB\nwsIgOhquuAK2b4dOneDwYc9dX0RE8kTTIUtBUouLiOSJ0+lkzpY53L/4fvaf2g/A4KaDebHDi9QK\nr+WZEEeOQMeOsHkzXH65mSq5XDnPXFtERC6J7RYXFS6+T4WLiFyS0wmneWH1C7zz7TskpiRSJLAI\n91x9D0+3eZqyxcu6P8Dff0O7drBlC7RoAcuXQ3i4+68rIiKXRIWL5JcKFxHJlz0n9vDsimeZumkq\nTpyEFQ3jsVaPcc/V9xAWEubeix88aIqX7duhZUszZXIZC1M2i4jIRalwkfxS4SIiBeKnQz/xeMzj\nLN25FIDQoqHcfdXdPHjdg1QsWdF9F963Dzp0gB07VLyIiHgxFS6SXypcRKRALdu5jJfWvMSK3SsA\nCAkKYVSLUTxywyPUDq/tnovu3w/t25vi5YorICZGxYuIiJdR4SL5pcJFRNzi2/3f8sraV5i7dS4A\nDhx0qdOFO668g171exEcGFywF9y/37S8bN+u4kVExAupcJH8UuEiIm71+z+/89q615jx6wwSUhIA\nqFyyMqOuGMWoK0YVbCvMgQOm5WX7djNgPyYGynpgogAREbkoFS6SXypcRMQjjsUfY/Ivk/lo40ds\nObLl3PGrqlzFwMYDubnJzVxW+rL8X0jFi4iIV1LhIvnlUrGMGTNGi1CKiNs4nU7W7F3D+I3jmbNl\nDrFJseceu7rK1fRr1I+udbrSvFJzAhyXuM7xgQOm29i2bdC8OSxbpuJFRMSCyMhIxo4dm/WwChe5\nJGpxERFr4pPiWbR9EV/+/iXzt84/r4ipUKICEbUj6FKnC51qdaJqaNW8vXjW4iUmRotUiohYpBYX\nyS8VLiLiFeKS4li0bRGLti8iekc0+0/tP+/x6qHVub769VxfzWxXVL6CIoFFLvyiBw+a4uXPP6FZ\nM9PyouJFRMQKFS6SXypcRMTrOJ1OthzZwpIdS4jeEc26fes4lXDqvHOCAoJoWK4hzSo2o2mFpjSr\n2IzG5RtTPbQ6gQGBGSdmLV5iYqB8eQ+/IxERUeEi+aXCRUS8XkpqCn8c+YMN+zawYb/Zth7ZitN1\nmB7BAcHULF2TOuF1qB1emzrhdWicHE6H28YSsnMvzsaNccTEQOXKFt6JiEjhpcJF8kuFi4j4pNjE\nWH775zc2H97MpsOb2PT3JrYe2cqhM4eyPb/SaYiZDE3+gV1lA7n7ofo4a9agcqnKlAkpQ3ixcMJD\nws/blylWhvCQcEoVLUXRwKKZ/9MVEZE8UuEi+aXCRUT8SlxSHLuO72Ln8Z3sOL7j3P7AqQMkHD7A\n5x8eoeVfsDcUOo2A7bmcbCzAEUDx4OKUCC5h9kVKuNwPCQohOCCYIoFFzm2Z7wcHBrscDw4MJsAR\nQKAjkABHgLkdkOl2Ho8HOAJwpP33nP4jwYHjvNtZH/P0uXI+h35OudB3xZU/fE/KFD+3KLAKF7kk\nKlxEpFBJPnaE1O7dKPLdRs6WDyfq/QfYVaU4x88e53j8cbPPdPtY/DHOJJ4hMSXRdnQREd8Wee6W\nChe5JCpcRKTwOXMGeveGFSvM+i5LlkDLlhd8SnJqMnFJccQlxRGbGGv2SbHn7scmxZKYknjelpSS\ndP791OzvpzpTz20pqSkZt50pl3QcMv5dd+I873bWxzx9rpwvu3FahZ2+K6785Xty4okT6TdVuMgl\nUeEiIoVTfDwMGAALF0JYGCxaBNdfbzuViIjfsj3G5RKXNBYREbGsWDH4+mvo3x9OnoSICFi50nYq\nERFxExUufsLhcJzbIiMjbccREfGMIkVgxgwYOhRiY6F7d9MCIyIiBSIyMvLcb0zb7CeQ/FJXMRGR\n1FS46y4YPx6CgmDCBFPMiIhIgVFXMRERkfwKCIAPP4THHoPkZBg2DN56y3YqEREpQCpcRETEPzgc\n8Oqr8Oab5v4jj5hCRi3SIiJ+QV3FfJ+6iomIZDV1Ktx2m2l9GTECPv4YgoNtpxIR8Wm2u4qpcPF9\nKlxERLKzaJGZLjkuDnr2hJkzoXhx26lERHyWChfJLxUuIiI5+fZbU7QcPWrWeJk/3yxYKSIieabC\nRfJLhYuIyIVs2QJdusC+fVCvnpkuuW5d26lERHyO7cJFg/NFRMS/NWwIGzZA8+awbRtcdx2sXWs7\nlYiI5JEKFxER8X9Vq8KaNdCjh+k21qkTTJ9uO5WIiOSBChcRESkcSpWCuXPh7rshMREGD4aXXtJ0\nySIiPkJjXHyfxriIiOSF0wnvvAMPP2xuDxlipksuVsx2MhERr2Z7jIsKF9+nwkVE5FLMnWuKlthY\nuPJK+PprqF7ddioREa+lwkXyS4WLiMil2rwZ+vSBXbugQgX46ito3dp2KhERr2S7cNEYFxERKbya\nNoXvv4eOHeHvv81+/HjbqUREJBsqXEREpHArWxaio+HBByEpCe64A0aPhvh428lERCQTFS5+wuFw\nnNsiIyNtxxER8S1BQfD22zBxIoSEwKefwrXXwtattpOJiFgVGRl57jembfYTSH5pjIuISEH65Re4\n+WazWGWJEqbr2ODBtlOJiFinMS4iIiLepHlz2LgRbr3VzDg2ZIjpPqauYyIiVqnFxfepxUVExB2c\nTvjoIzP2JSEBGjWCKVPM1MkiIoWQWlxERES8kcMBd94JGzZAw4bwxx9w3XXwwguQnGw7nYhIoaMW\nF9+nFhcREXeLj4cnn4R33jH3r7kGJk+GBg3s5hIR8SC1uIiIiHi7YsVg3DhYtgyqV4fvvoMrroA3\n3zRTKIuIiNupxcX3qcVFRMSTTp6EBx6ASZPM/WbNzFiY666zm0tExM3U4iIiIuJLwsLMei8LF0Kt\nWrBpE9xwgxkPc/y47XQiIn5LhYuIiMil6N4dfv0VnnrKLGD50UdmEP+nn2rwvoiIG6irmO9TVzER\nEdt+/920uKxZY+43aQKvvgo9epjZyURE/IC6iomIiPi6xo1h1SqYNs10H/vtN+jVCzp0gO+/t51O\nRMQv6M9Avk8tLiIi3iQhAf73P7Pey7Fj5ljv3mY6ZQ3gFxEfZrvFRYWL71PhIiLijU6cMN3Fxo2D\ns2fNsfbtTQETEaEuZCLic1S4SH6pcBER8WaHD5uFK99/H06dMseuvBIefBAGDICQELv5RERyyXbh\nojEu7tcWmAfsB1KBEdmcUwoYB+wG4oB1wFUeyiciIu5UsSK8/DLs3QuvvAIVKsDGjTBsGFStCg89\nBFu22E4pIuL1VLi4XwlgE/AAEE9aC0kWnwARwHDgcmAJEANU8VBGERFxt7AweOIJ2L0bxo83rS7H\njpmuZI0aQbt2Zirlo0dtJxUR8UrqKuZZp4F7gMmZjhUDTgH9gPmZjv8ALAKevchrqquYiIiv2rjR\nrP8ybRrExppjQUHQuTMMHAg33QTh4XYzioiksd1VTIWLZ2VXuJQCTgLdMC0t6dYCSUCHi7ymChcR\nEV936hTMnGm25cshJcUcDwqCNm2gSxfo2hWaN4cAdZYQETtsFy7618++08AG4BlM17BAYChwHVDJ\nYi6RfIuMjLQdQSRHXvX9DA2F0aNhyRL46y/TlaxzZ3A6YcUKMxNZy5ZQuTIMHWoe37w5o8ARv+JV\n300RL6IWl4IzBPgw0/1umEH2mWXX4gJQG/gMM5A/BdgIbAOuBBpf5LpqcRGv5XA49N0Ur+UT389j\nx2DZMoiONtv+/ec/HhoK11wDN9xgCptmzaBmTbXK+Dif+G5KoWS7xaWwFS4DgHZAC6A5UBL4HBh2\ngedUA57HFCJlgEPAHGAscCLTeSWBCpnuHwTOZnmtnAqXdMWAUOAw8AVQHLjxIu9JhYt4Lf3nK97M\n576fTqeZfWzpUli/HjZsMDOVZVWyJFx+uSliGjSA2rWhTh2zL1HC87klz3zuuymFhgoXz/oZaIYp\nIA4ADYGpmNm8slMHWA+UxxQrW4BrMeNOtgKtgGN5uP7FCpd04cBO4FHMjGMXosJFvJb+8xVv5hff\nz4MHTQHzzTewaZPZ/vor5/MrVswoYqpUMV3Psm4lS3ouv2TLL76b4pdsFy6FrS35QaCdZN/1AAAP\nrElEQVQeEAbclYvzP8AULfdhZv16CugEvA00AF7KxWuUwLTwtMB83jXTblfPdE4XoDtQCzMt8grg\nD2BCLl7fb9jq0+uO6+b3NS/l+Xl9Tm7OL6hz/IGN9+kv3828Pi+3517svELx3axShcjNm+H1101X\nskOH4O+/TfeycePg3nuhe3eoXx+Cg81imOvXw9Sp8NprZg2ZW281UzHXrw+lSplWmWrVoGlTaNsW\n+vSBkSPNuc8/D+++C599RuSAATB/vplM4JtvzJibHTtM4XT69CWNv/H2fzsL6ruZ1+v6Mv3bmb/n\nF/T309e/m4WtxSWz9sBycm5xqYMZZ7Ir7XZmJYG/MK0dFTGLRl7sOqSdn/6ZTwRGpd2+GXgF0y3t\nGDALeBrTQnMxftPiYusvTO64bn5f81Ken9fn5Ob8/J7jT381tPFe/OW7mdfn5fbci52X38d9Ra7f\nR0oKHDhgiotdu0yRc+iQKTTSbx86BGez9nLO4bpkvzDZeQIDTcFUpEjGdoH7juXLcfbqZcboBASY\n5+fhtuO993A+9ND5xx2OjM18YOftHS+8gPO5584/ntO5zz6L88UXL3qu4/HHcb72mutrZD7n4Ydx\nvv129p/tQw/l+JivcTz0EM5x4zx7zQcfLPBr5uo1HTn/rHY88ADOd97J+3Xz8LzcnJvfcxwPPHDu\nZq5CFTAVLjkXLqOB8cBHZN86E41pHelMRmFigwoXL7yuCpdLy+TNVLjk7/kqXNynQN+H0wlnzsDx\n4xfeYmNxTJqEs0cPiIsza9Bkt8/rv2Pkohgq4Ofn5Tm5PTc3513onPx+Dt7ExntxxzVtfDfz+rz8\nfu9yc44j25ueE2Tjoj6iQdr+zxwe34YpXOpht3ABzutz6NNsvQ93XDe/r3kpz8/rc3Jzfn7P8Zfv\nJth5L/7y3czr83J77sXOy+/jvsLav50LFxb8a1p4fl6ek9tzc3Pehc7xj2+mYeO9uOOaNr6beX1e\nfr93l3JNTypsY1zyIixtfzKHx9OPl/ZAlgvx1u+WiIjI/7d350FyVHUAx7+SGCAJBIIcCmq4ReRQ\nVAxEXNCAwB+iUFEKi4CWqFAllqiIBzF4UZYkUtxUSQJolTcgFggoV4CAV8CDS0mihGCIIQmCSRQ2\n/vF7XRl7u2dn59jp3fl+qrp6t9/r7t/svJrtN++SNPrc1a0b2+IyOlh5kSRJ0qhmi0u5rEVlUkl6\ndnxNSbokSZKkNrHiUu7RtN+7JH3PtC8bAyNJkiSpTay4lLsj7aczsCvWVsTiky8A9w9nUJIkSVIv\nsuJSbjFwK7Eo5Bm5tNnAeOBaYN0wxyVJkiT1nF4b1H1c2gB2IlasXwzck46tBD5Tk3834D5gB+AG\novvYwcQaMI8BhwCrOx20JEmSpN4yC+gHXspt/WlbXHDOLsBVwHJgA7AEmEP5oH1JkiRJUhscBvwM\nWEZU2GZ2NxwJgNOJLwbWAb8FpnU3HAnw81LVdg7wG2Im1GeIsrpvVyOSwhnAQ0TZXEv0YDqm1Ys6\nxqU3TQD+AJxJPCRu7G44Eu8Hvg18FTiQ+IC7GXh1N4OS8PNS1fYO4GJgKnAE8CLwS2DbbgYlAU8C\nnwXeCBwE3A5cDxzQzaA08v0LOLnbQajnPQBckTv2OPD1LsQilfHzUlU3gai8HNvtQKQCq4CPtHIB\nW1wkdds44E3ELH61biUmwJAkNWZr4tnOiYNUJWOADwBbAHe3cqGxbQlHkpr3CuJDbUXu+DPE7H+S\npMZcCCwCFnY7EAnYjyiLmxNdbWcQs/I2zRaX0e0komtDth3a3XAkSVKHzCFaqY/HsViqhkeB/YG3\nEmOxvg+8uasRqWUnABcBC4DniFlrrh3knNopmtcTMzHNBbbJ5ZtIrEWTbVsUXMs+22pEJ8vpOOC/\nxD/bWpcAd7QUtXpBJ8tmnp+XGqrhKp9zgaeAvVqMV71jOD87M7cB85oJVtXxIFFY1gIPp5+vqZN/\nd6JLTT/wU2Lw8q/S748Ak4d4f/8RqxGdLqf3Uzw4/2utBq5Rbzg/Q/281FANR/m8kHiQ3LttUasX\ndOP583bg6uZDVhX0EYUBYlrDwQrOLSnPGbnjF6TjlzVwzwnElLMHAi8AX0o/O/WsyvTR2XI6g1jg\n9cPAPsQ/4uewTGpwfXS2bPp5qVb00dnyeQnx4Hk4MSYw2ya0ErR6Qh+dLZvnE+uxTSHGunyDWPR9\negsxq2L6qF9wdk/pTxSkTQSeJ74RHN/gffqJQpT9fNVQA1ZP6qMz5fTjRLPzemJBNReg1FD10f6y\nmV3Tz0u1qo/2l898ucy2c9sSsXpFH+0vm/OApcT/9BXETKEtV1ocnD+yHJ72+WljIQrNvcS3LG8b\n5Dp3Eu/9ZsRsTtnPH2pLlOp1zZbTy4BdibFYbwHu6VSA6lnNlM078fNSw6OZ8pkvl9l2XufCVA9q\npmyeSrS2bAHsCBxJjHFpiRWXkSXrv/p4Sfpf0n7PYYhFKmM5VVVZNlVllk9VVWXKphWXkWVS2q8t\nSc+ONzq7g9QJllNVlWVTVWb5VFVVpmxacZEkSZJUeVZcRpasRjupJD07vmYYYpHKWE5VVZZNVZnl\nU1VVmbJpxWVkeTTty+Zqz/oWlvVBlIaD5VRVZdlUlVk+VVWVKZtWXEaWbBXx6cDLcmlbAYcS6wzc\nP5xBSTmWU1WVZVNVZvlUVVWmbFpxGVkWE1PR7crABYBmE/NnXwusG+a4pFqWU1WVZVNVZvlUVVWm\nbOZrTRp+x6UNYrXbI4kCkq1hsRL4TE3+3YD7gB2AG4jmu4OJxYMeAw4BVnc6aPUcy6mqyrKpKrN8\nqqosm2rKLDatfFu7ZavfLi44Zxdi1eblwAZitfE5lA+aklplOVVVWTZVZZZPVZVlU5IkSZIkSZIk\nSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIkSZIk\nSZIkSZIkSZKqbxawHtilC/e+GHgW2LYL95YkSVKP6R9km9m90DSIVwLPA5cWpGXvXz1LU57XNHn/\nVwHrgDlNni9JHTG22wFIkjpmIzC7JG3RcAaiITkH2BL4Zkn6xgau0UieMsuB7wGnpxj+0cK1JEmS\npLr6gZe6HYSGbDywBri7JL2R93VpytNsiwtAX7rX51u4hiRJkjSoRh5wp6R884C9gB8Az6Tz3lGT\n7yjgJuCfxLiLvxLfxE8que67gAXAC8Aq4DrgdcB8BnZh6kvHZpVcaymwpCTtROAO4kF/HfAw8AVg\nXEHe/pR3O+BK4On0Wv4EnFJyfYAjgRuJv8t64O/A9cA7U/pR6dpXlZy/OfF3Wwm8vM59Mien651e\nkt5sxeVO6ncdvKPgOsuJ91qSKsGuYpKk3YH7gceAa4luSmtT2qy0rWLTA/wBwKeBY4CpwL9qrnUC\nUQFan/ZPA28H7gP+UCeGel2bitKuIiocTwI/IiovU4GvEJWK6Qx8wN8GuBfYAPyQqFTMSNfqB67J\n5Z8NfIl4fdene+0MHAKcBPwKuAV4Il3nk8BzuWscD0wGvgX8t85rzExP+3sayDsU84DbC44fBhxB\nVDLzFgLvBXYDFrc5HkmSJAnY9E36LODLuS0bmD+lJt9XC65xeEq7B9g6lzYzpdUO4J5IVHA2AG/K\n5Z/DptaCohaXc0tex1IGPjSfks75MVH5qDUrpX0idzx7nVcCL6s5vg9RofhzLv+RKf9ficHyeTvX\n/HxWyntGQb47ide8R0FakSXEwPzNStLrva/ZtobGuortT1S0VgC7FqSfne51SmOhS5IkSUNXr1tQ\n9s37lPT7coq7MV2X0vcpucci4qE3cxKbup7lbU3xA3UfQ6+4LCIqR/nKFMAYolvWA7nj/UTLycSC\nc+5KcY2vOXZjOuc9JXHV2hb4NwNblPZO1/hlA9eAiD2rLJUZbLa4bBus4vIqogXpBeBtJXmy97Ns\nggdJGlZ2FZOk0Wsj8TA8mIco7sY0NR2fwf+3UmTGAdsTD+6r2dTKcldB3ueAB4muSa0YT3RVWwl8\nqiTPfyiubP2FaM3Ie5J4fVkFBOJhvh/4RQMxrSa6xc0k/mYL0/HT0v7yBq4BMf4GYg2VegZ7X5cC\nr66TPhH4OdGSdCLRTbDIqrTfYZB4JGlYWHGRJJVNd7sd8YBcNnAe4iF6IvHwng3WX1GStx3T6maL\nIm5PeStNFlfempK8L6Z9bWVgG+I1bWgwrsuIistHiYrL5un3FUTLVSOymIsqie0yhqhkHQh8jhgf\nVCbrrtbK1MqS1DZlfWglSb2j7MF0LfHt/2Z1tjFEi0WWH2DHkuvtVHAsW0yx7Iu0bQpiAvh9A3G1\nYg1RSdqiwfy/TjHNIGLOBuXPo/FpqZ8l3ovJQ4p0aC4CjibG+pStE5PJ4ljZwXgkqWFWXCRJZRYS\nD6+vbzD/79K+ryBtEvEtf76StDrti8Zj7MHAcSzPEwPp38Cm1pdOWEj8j3z3EM65lKjonEx0E8sm\nA2jUS8R0yzvRmf/PZwEfI2ZCK5tuuVY2AYEzikmSJKljhrKOS9kaJEek9HspnllrAnBw7vdVxBiT\ng3J551I8aHws0bqxmuj+ldmSWDumn4EPzqem49dRvJbMtsAbc8dqJyXIm8/A9WWmp2NPEAPZ84qO\nbUm0mixL595ccr96rknnHlCS3uw6Lu9Lxx6keIKCIj9J95vSYH5J6ijHuEiSytxOjIP4BjGw/Sbi\noXgi8FpioP0CYj0XiBmqTiPGUCxI+38A04B9idXg84PzXwQuJNZLWUSslzKWWMTyKWLGs/yYj3lE\nxeh0omJxC9FdbTIxre/bicpYI60KZW4jpoj+IvBIimsZ0Q1uGtEic2runHXA1cCZ6fcrmrjvrcAH\n0z0eauL8TP5v9t107LfEGjx5S4jYa8+fSvx9l7YQhyRJklRXO1pcMocSlZCniMHqK4jxHN9i4Hot\nEJWOBURFZhXRMrIXxS0bmbOJaYA3EA/K5xMtGEso76p0LDFt8Yp03nJihqzz0v1q1WtxycahFMV1\nNNFysopYVPNvREtEX8m19kv3WkZz3b22JFqf7i5Jb+R9XcLA15OdN9gU2Zm+dPycxkOXJEmSRof5\nlFdcRosP0fraJ3OJSsaUdgTUpO8QLUhlEy1IkiRJo9Z8RnfFZSzwR6L1p2gMTKN2JBbLvLQdQTVh\nZ6J16YIu3V+SJEnqqvmMzorLNOALxLiYfmLMTqvOJVo8dh4sYwdcTHSNy09FLUmSJPWEemNJRrJZ\nRIVlJXA5sfikJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmSJEmS\nJEmSJEmSJEmSJEmSJEmSJEmSJEk1/gdHoLPXyMgrMgAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x107eaadd0>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 274,
+       "width": 407
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "Pfactor = [0.1, 1, 10]\n",
+    "P = kat.l1.P.value\n",
+    "for factor in Pfactor:\n",
+    "    kat.l1.P = P*factor\n",
+    "    result = kat.run()\n",
+    "    loglog(result.x, result['PDsens'],\n",
+    "           label='{0}*P'.format(factor))\n",
+    "    \n",
+    "xlabel('Frequency (Hz)')\n",
+    "ylabel('Sensitivity ($\\mathrm{m}/\\sqrt{\\mathrm{Hz}}$)');\n",
+    "legend();"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Note that (basic) LaTeX is supported in figure labels!\n",
+    "\n",
+    "Now how about we add some squeezing? This works via the `sq` command, which needs a squeezing frequency (relative to the carrier), a squeezing strength in dB, and the squeezing angle."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 145,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "kat = finesse.kat()\n",
+    "kat.verbose = False\n",
+    "kat.parseKatCode(finesse_code)\n",
+    "kat.parseKatCode('sq SQZ 0 10 0 nout')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 146,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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BCIE33ngDZ8+eRVZWFu7evat0FB84cCAA04MDlDctWrTAxYsXERYWhlGjRuGxxx5DUlIS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\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x106eec110>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 274,
+       "width": 407
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "result = kat.run()\n",
+    "loglog(result.x, result['PDsens'], label='10dB ampl sqz')\n",
+    "\n",
+    "kat.SQZ.angle = 90\n",
+    "result = kat.run()\n",
+    "loglog(result.x, result['PDsens'], label='10dB phase sqz')\n",
+    "\n",
+    "kat.SQZ.angle = 45\n",
+    "result = kat.run()\n",
+    "loglog(result.x, result['PDsens'], label='10dB @ 45deg')\n",
+    "\n",
+    "kat.SQZ.db = 0\n",
+    "result = kat.run()\n",
+    "loglog(result.x, result['PDsens'], 'k--', label='no sqz')\n",
+    "\n",
+    "xlabel('Frequency (Hz)')\n",
+    "ylabel('Sensitivity ($\\mathrm{m}/\\sqrt{\\mathrm{Hz}}$)');\n",
+    "legend();"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Final words\n",
+    "\n",
+    "This concludes our short introduction to _PyKat_, now go ahead and explore!\n",
+    "\n",
+    "Good references are:\n",
+    "\n",
+    "  * the built-in _Finesse_ help: `kat -h` and `kat -hh`\n",
+    "  * the _Finesse_ [manual](http://kvasir.sr.bham.ac.uk/redmine/attachments/download/131/Finesse_2.0_manual.pdf)\n",
+    "  * the [`CHANGES`](http://www.gwoptics.org/finesse/download/CHANGES) file (as the manual is not always up-to-date with the latest additions)\n",
+    "  * unfortunately, _PyKat_ itself isn't as well documented, but there are many [examples](https://gitlab.aei.uni-hannover.de/finesse/pykat/tree/master/examples) available\n",
+    "  \n",
+    "And if you are stuck: ask others! There are tons of _Finesse_ and _PyKat_ files around, and it's quite likely that someone will have solved your problem already. There's also a _Slack_ chat/messenger channel for _Finesse_ and _PyKat_ where the developers hang out regularly - ask for an invite if you're interested."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 2",
+   "language": "python",
+   "name": "python2"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 2
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython2",
+   "version": "2.7.10"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
-- 
GitLab