Four_level_atomV5.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
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   "source": [
    "# Four level atom steady state solution"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Written by Ohad Michel"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First import all the required libraries "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy.sparse as sp\n",
    "from IPython.display import Image\n",
    "import time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Defining the problem"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our atom in this model has only 4 levels (no HF splitting), as can be seen below:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "                               \n",
    "                                                      -------|r>           \n",
    "                                                         |                     \n",
    "                                                         |  Omega_c                  \n",
    "                                                         |                  \n",
    "                                                      -------|e>       \n",
    "                                          -------|a>     |              \n",
    "                                                    \\    |  Omega_p               \n",
    "                                            Omega_a  \\   |                 \n",
    "                                                      -------|g>     \n",
    "                     \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We want to solve the master equations for this system in steady state, i.e solve:\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{d\\rho}{dt}=\\mathcal{L}[\\rho]=0\\cdot\\rho,\n",
    "\\end{equation}\n",
    "\n",
    "Where $\\mathcal{L}$ is the Liouvillian superoperator which is defined as:\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathcal{L}\\left[\\rho\\right] = -\\frac{i}{\\hbar}\\left[\\mathcal{H},\\rho\\right] + \\sum_i\\left(c_i \\rho c_i^\\dagger - \\frac{1}{2}c_i^\\dagger c_i\\rho -\\frac{1}{2}\\rho c_i^\\dagger c_i\\right)  \n",
    "\\end{equation}\n",
    "\n",
    "Here $c_i \\equiv \\sqrt{2\\Gamma_i} \\left|\\,f\\rangle \\langle i\\,\\right|$ is a colapse operator from initial state $\\left|i\\right>$ to final state $\\left|f\\right>$ and $\\Gamma_i$ is the colapse rate in the half sense ($2\\Gamma_i$ is the FWHM of the linewidth)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup and Solution"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we define all the relevant parameters which we would use to construct the Hamiltonian and the colapse operator: Rabi frequencies and detuning of the lasers and decay rates of each level to the ground state."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### System parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# System Parameters (in units of MHz)\n",
    "#-----------------------------------\n",
    "MHz = 2*np.pi\n",
    "Omega_p = 1e-2*MHz            # g-e levels Coupling strength (Half sence)\n",
    "Omega_c = 180*MHz             # e-r levels Coupling strength (Half sence)\n",
    "Omega_a = 140*MHz             # g-a levelsCoupling strength (Half sence)\n",
    "Gamma = 6*MHz/2               # e-->g decay rate (Half sence)\n",
    "gamma = 1.8*MHz #0.66*MHz/2        # r-->e level decay rate (Half sence)\n",
    "gamma_a = 5.75*MHz/2          # a-->g level decay rate (Half sence)\n",
    "Delta_c = 1050*MHz            # Control detuning\n",
    "Delta_a = -1050*MHz           # Auxilliary detuning\n",
    "Delta_p = -300*MHz            # Probe detuning\n",
    "alpha = 2e2;                  # alpha coeff in kchi"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Defining some function for the Calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def premul(A):\n",
    "    '''Tensor product for multiplication of rho from the lef'''\n",
    "    return np.kron(np.identity(np.prod(A.shape[1])),A)\n",
    "\n",
    "def postmul(A):\n",
    "    '''Tensor product for multiplication of rho from the right'''\n",
    "    return np.kron(A.T,np.identity(np.prod(A.shape[0])))\n",
    "\n",
    "def Sstate1(H,Lind):\n",
    "    '''Solve the Master equations using SVD - usually slower'''\n",
    "    # Creating the Liouvillian superoperator\n",
    "    \n",
    "    L = -1.0j * (premul(H) - postmul(H)) + Lind\n",
    "    \n",
    "    # Using SVD to find the zero eigenvector\n",
    "    \n",
    "    U,s,V = np.linalg.svd(L,full_matrices=0)\n",
    "    rho_vec = V[np.argmin(s)].H\n",
    "    \n",
    "    # Reshaping density matrix into matrix form\n",
    "    \n",
    "    rhoss = rho_vec.reshape(4,4).T\n",
    "    return rhoss/rhoss.trace()\n",
    "\n",
    "def Sstate2(H,Lind):\n",
    "    '''Solve the Master equations using eigenvalues - usually faster'''\n",
    "    # Creating Liouvillian superoperator\n",
    "    \n",
    "    L = -1.0j * (premul(H) - postmul(H)) + Lind\n",
    "    \n",
    "    # Using direct to find the zero eigenvector\n",
    "\n",
    "    w = np.mean(np.abs(L))\n",
    "    b = np.zeros(16, dtype = complex)\n",
    "    b[0] = w\n",
    "    \n",
    "    L[0,:] = np.diag(w*np.ones(4)).reshape((1,16))\n",
    "    V = np.linalg.solve(L,b).conj()\n",
    "    \n",
    "    # Reshaping density matrix into matrix form\n",
    "    \n",
    "    rhoss = V.reshape(4,4)\n",
    "    return 0.5*(rhoss + rhoss.conj().T)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Define the Hamiltonian and the decay operators"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we define the entries of the Hamiltonian"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Omega_c matrix\n",
    "Oc = np.matrix([[0,0,0,0],\n",
    "                [0,0,1,0],\n",
    "                [0,1,0,0],\n",
    "                [0,0,0,0]],dtype = complex)\n",
    "\n",
    "# Omega_a matrix\n",
    "Oa = np.matrix([[0,0,0,1],\n",
    "                [0,0,0,0],\n",
    "                [0,0,0,0],\n",
    "                [1,0,0,0]],dtype = complex)\n",
    "\n",
    "# Omega_p matrix\n",
    "Op = np.matrix([[0,1,0,0],\n",
    "                [1,0,0,0],\n",
    "                [0,0,0,0],\n",
    "                [0,0,0,0]],dtype = complex)\n",
    "\n",
    "# Excited state energy matrix\n",
    "ee = np.matrix([[0,0,0,0],\n",
    "                [0,1,0,0],\n",
    "                [0,0,0,0],\n",
    "                [0,0,0,0]],dtype = complex)\n",
    "\n",
    "# r state energy matrix\n",
    "rr = np.matrix([[0,0,0,0],\n",
    "                [0,0,0,0],\n",
    "                [0,0,1,0],\n",
    "                [0,0,0,0]],dtype = complex)\n",
    "\n",
    "# a state energy matrix\n",
    "aa = np.matrix([[0,0,0,0],\n",
    "                [0,0,0,0],\n",
    "                [0,0,0,0],\n",
    "                [0,0,0,1]],dtype = complex)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and the decay operators $c_{i f}=\\sqrt{2\\Gamma_i}\\left|\\,f\\rangle \\langle i\\,\\right|$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "ceg = np.sqrt(2*Gamma)*np.matrix([[0,1,0,0],\n",
    "                                  [0,0,0,0],\n",
    "                                  [0,0,0,0],\n",
    "                                  [0,0,0,0]],dtype = complex)\n",
    "\n",
    "cre = np.sqrt(2*gamma)*np.matrix([[0,0,0,0],\n",
    "                                  [0,0,1,0],\n",
    "                                  [0,0,0,0],\n",
    "                                  [0,0,0,0]],dtype = complex)\n",
    "\n",
    "cag = np.sqrt(2*gamma_a)*np.matrix([[0,0,0,1],\n",
    "                                    [0,0,0,0],\n",
    "                                    [0,0,0,0],\n",
    "                                    [0,0,0,0]],dtype = complex)\n",
    "\n",
    "# Define a list of all the operators\n",
    "c_ops = [ceg,cre,cag]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create the Lindblad super-operator for all of the decay operators"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "Lind = 0\n",
    "for c in c_ops:\n",
    "        cdc = c.T*c\n",
    "        Lind += premul(c)*postmul(c.T) -0.5*premul(cdc) -0.5*postmul(cdc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hot atoms "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First let's define some parameters of the hot atoms ensemble:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Hot atoms parameters\n",
    "T = 273.15 + 70                    # Temperature in K\n",
    "vth = np.sqrt(1.38e-23*T/1.44e-25) # Thermal velocity = sqrt(kB*T/m) in m/s\n",
    "kp = 2*np.pi/(780.246e-9)          # Probe wave vector in 1/m\n",
    "kc = -2*np.pi/(775.978e-9)         # Control wave vector in 1/m\n",
    "ka = 2*np.pi/(794.985e-9)          # Aux wave vector in 1/m\n",
    "dv = 1                             # Spacing between consequent velocities\n",
    "v = np.arange(-400,400,dv)         # Velocity vector in m/s"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Aux parameters which we found for Doppler compensation are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# epsD = 1-np.abs(kp/kc)\n",
    "# Delta_a = - np.abs(ka/kc)*(1+epsD*Delta_c**2/Omega_c**2)*Delta_c\n",
    "# Omega_a = np.sqrt(np.abs(kp/kc)*(1+epsD*Delta_c**2/Omega_c**2)**3)*Omega_c\n",
    "# print Delta_a/MHz, Omega_a/MHz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute the spectrum:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "407.98800015449524"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t1 = time.time()\n",
    "\n",
    "TPA = 1  # 1 for TPA, 0 for 1-photon\n",
    "\n",
    "if Delta_c !=0:\n",
    "    CLS = (Delta_c/2 * (1 + np.sqrt(1 + 4*Omega_c**2/Delta_c**2)) - Delta_c)/MHz            # Control Light shift\n",
    "    ALS = (Delta_a/2 * (1 + np.sqrt(1 + 4*Omega_a**2/Delta_a**2)) - Delta_a)/MHz            # Aux Light shift\n",
    "    Dc = Delta_c/MHz\n",
    "\n",
    "if TPA == 1:\n",
    "    Delta_p_array = np.arange(-Dc-(CLS+ALS) -20,-Dc-(CLS+ALS) +20,0.15)*MHz         # Probe scanning range Raman\n",
    "elif TPA==0:\n",
    "    Delta_p_array = np.arange(CLS-ALS - 10,CLS-ALS + 10,0.3)*MHz                  # Probe scanning range 1-photon\n",
    "else:\n",
    "    Delta_p_array = np.arange(-150,150,0.3)*MHz                  # Probe scanning range EIT\n",
    "\n",
    "rho_eg_mat = np.matrix(np.empty([len(Delta_p_array),len(v)],dtype=complex))   # Matrix of rho_eg for velocity & detuning\n",
    "rho_eg = np.empty_like(Delta_p_array,dtype=complex)                           # rho_eg vector after summing all velocities\n",
    "MBfactor = np.matrix(dv*np.exp(-1/2*(v**2/vth**2))/(np.sqrt(2*np.pi)*vth)).T  # Maxwell-Boltzman factor vector\n",
    "\n",
    "Delta_cH = Delta_c - kc*v/1e6\n",
    "Delta_aH = Delta_a - ka*v/1e6\n",
    "v_mat,D_mat = np.meshgrid(v,Delta_p_array)\n",
    "Delta_pH = D_mat - kp*v_mat/1e6\n",
    "\n",
    "for m in range(len(v)):\n",
    "    \n",
    "    for n in range(len(Delta_p_array)):\n",
    "        \n",
    "        H = -(Delta_pH[n,m]*ee + (Delta_pH[n,m] + Delta_cH[m])*rr + Delta_aH[m]*aa + Omega_p*Op +\n",
    "          Omega_c*Oc + Omega_a*Oa)\n",
    "        rho_n = Sstate2(H, Lind)\n",
    "        rho_eg_mat[n,m] = rho_n[1,0]\n",
    "    \n",
    "rho_eg = rho_eg_mat*MBfactor\n",
    "kchi = alpha*Gamma*rho_eg/Omega_p\n",
    "t2 = time.time()\n",
    "t2-t1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the spectrum:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
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       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams.update({'font.size': 16})\n",
    "fig4 = plt.figure()\n",
    "plt.plot(Delta_p_array/MHz,kchi.imag,'-')\n",
    "plt.plot(Delta_p_array/MHz,kchi.imag,'k.')\n",
    "plt.xlabel(r\"$\\Delta_p$ [MHz]\")\n",
    "plt.ylabel('OD')\n",
    "plt.grid()\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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MAIUgOwLbiLARCMP7Xp3PYrPpo6yNGtXWOtdpqzE/E178MSNF+P2+ikxHSWXMSHyTQFy6RuqYjpKARgTIhagAGQf8AIBJhp5qF8+bA5279qJoc3OQKuratue+Qt7NGT615iyZDvSGlfFY9dfGNNRchkTIt8UIJe+oSqmoxSAMSFiAQpA9gEvEGCikYP63gNHUGf4XCSI69uGtMapRc1d31ZY668u245BH3yNlheWR9ZddWI6Si5jQuSbAuTSN1TFdJQCMCZELEAByD7gBQJMNHJQX7plLzpNWoEqZxTHgn7NpBj99Js9uPullahR7jTM6d0kpk1yGRMi3xQgl76hKqajFIAxIWIBCkD2AS8QYKKRg/qUJdswZPp6tLqwPDJNzNaZafW7Xw7i6qfmo2iRRGwc2hqJiQmFViOXZlD1Rxly6Q+ezHhJAWgGJZYxEOAmEHYENxFgopGDds+sOXgnexXS2jbAsNtjz9aZafXY8VxU7zUVh3/5EdMHtEfdi2pQAJoBToMyHJcakPh3CBSA+nDpeCQUgI5DzAYiEGCiib87TJ48GfempRu7fxMSE5GVmRnzzD4zrUbaTUxMRGYMu+TSDKr+KEMu/cGTGS8pAM2gxDKcAWQfcB0BJpr4ILd7a0esVu3YJZexUPXP38mlf7iK5SkFYCyE+PcTCHAGkJ3BTQSYaOJDW/YNIGFv7Ngll/FxqVJtcqkSG/H5QgEYH36Bqk0BGCi6PQ+WiSY+CuzM1Jlp0Y5dcmkGWX+UIZf+4MmMlxSAZlBiGb4CZh9wHQEmmvgh7/LISLw86jFpN4CEPRJrANPTuyI39zgSEhKRlVX42kJyGT+Xqlggl6owEb8fFIDxYxgYC5wBDAzVSgTKRBM/DY+9txavzPkc11dJwMBOzeO+ASTSo+xVG9Bp3PsoWyEF68Z0KtRZchk/l6pYIJeqMBG/HxSA8WMYGAsUgIGhWolAmWjip+HWjGVYse1XjOtwKW66vGL8BiMs/H74T9QaPNv4zddDrkWJU4pEtU8upULvqTFy6Sn8UhunAJQKp97GKAD15le16Jho4mekzvA52HvgKD68ryFqVSwdv8E8Fi4dMhs5h/7ErAcao+ZZJSkApSOsnkGOS/U4sesRBaBd5AJYjwIwgKR7GDITTXzg7zt4FLWHzjE1Q2e3pbbPLsK6H3/HpLvqoMWF5SkA7QLpo3oclz4iK4arFID6cOl4JBSAjkPMBiIQYKKJrzus2v4r2k9chgqlimHpI9fEZyxK7e5TV2Pmup/w+L8vRJeGVSkAHUFZLaMcl2rxEY83FIDxoBewuhSAASPc43CZaOIj4PnpKzBsWjYaXH4x3u337/iMRan9xMfrkbVoG+5pWBWD/n0hBaAjKKtllONSLT7i8YYCMB70AlaXAjBghHscLhONfQLEMS1paekIiSvgTBzTYrelV5dtx6APvkarC8sj8646FIB2gfRRPY5LH5EVw1UKQH24dDwSCkDHIWYDEQgw0djrDnYOarbXEjB/427c+cxMVEjch3cfvjnqMTPk0i7C6tUjl+pxYtcjCkC7yAWwHgVgAEn3MGQmGnvg27mqzV5LwIjxz+PRPv8BQiEkJiYiM7PgA6HJpV2E1atHLtXjxK5HFIB2kQtgPQrAAJLuYchMNPbAd2sG0Eo75NIelyrWIpcqsmLPJwpAe7gFshYFYCBp9yxoJhr70P81M3e/9CvgIj2yMtNILu1zqVpNcqkaI/b9oQC0j13galIABo5yTwNmorEP/+yvf8I9z3+CSkV+x9v9b5R6BVzYK84A2ufHzzU5Lv3M3sm+UwDqw6XjkVAAOg4xG4hAgInGfnfI+HQrRszciBsurYBnOl5m31CMmsZu4/R0hHJzkZiYhMzMDKSmpuarRS4do8B1w+TSdcgda5AC0DFo9TNMAagfpypHxERjn52H31mD/372PXpdUwMPtjzPviETNfu+nI2ps1egc+srMfKuZgXWIJcmgPRJEXLpE6JMuEkBaAIkFvkLAQpA9gQ3EWCisY92h4xlWLntV0y4rTba1T7HviETNScv3oZhH61H21pn47lOl1MAmsDMz0U4Lv3M3sm+UwDqw6XjkVAAOg4xG4hAgInGfneoM3wu9h44gg/va4haFUvbN2Si5sy1u9D99c9xeeXSeLdHQwpAE5j5uQjHpZ/ZowAMI5AQCoVC+lDpfCQUgM5jzBb+QYCJxl5v+P3wn7iw9zQc+20nFgy7DTWrR7+j114LJ9f66vt9aPf8EpxVshiWP1rwncPkUgbSatggl2rwIMMLzgDKQDEgNigAA0K0ImEy0dgjYvCYZzGkf6+YhzPbs56/1p79R1D3iblISAC+GX4dkpMS8xUil7LQ9t4OufSeA1keUADKQjIAdigAA0CyQiEy0VgnQxzNUjklxdiVG36SkpKwfft2R46CEW3k5oZQc9AsHD2Wi8UPNUPFMsUpAK1T55saHJe+oSqmoxSAMSFigTACFIDsC24iwERjHW0rhzNbtx69RtOn5mP7LwfxVterUK/qvygAZYKrmC2OS8UIicMdCsA4wAtaVQrAoDHubbxMNNbxN2YAK6cgFHJvBlB42TFzOZZ9+wuevrU2/u+y/LuOyaV1LlWtQS5VZca6XxSA1jELbA0KwMBS70ngTDT2YL+008NY89+nHL0GLq9nfd76Cu98/gP6XXs+ejarzhlAe9T5ohbHpS9oMuUkBaApmFhIIEAByH7gJgJMNNbRFgcbXDJ4Nvbt+QmjWp6JJnVrObb2L9K7cbM3Ydz7y9HkrGMYdc+1+dokl9a5VLUGuVSVGet+UQBaxyywNSgAA0u9J4Ez0ViHfffvh1HvyXlITAA2DGuNU4okWTdio0bXAaOR+eTDUXcek0sboCpahVwqSowNtygAbYAW1CoUgEFl3pu4mWis4778219wW+ZypJxRHJ/2K/haNutWC68h1h2mpKQgt5Cdx+RSNure2SOX3mEvu2UKQNmIKmxvwIABeOKJJwwPhw0bBvH/Vh4KQCtosWy8CDDRWEfwjZXf4ZF316Lp+Wfi5S71rBuwUcPMzmNyaQNYRauQS0WJseEWBaAN0PxYZcOGDahduzaOHj1KAehHAgPoMxONddKfnLEBmQu/RZeGVfD4vy+ybsBGDc4A2gDNx1U4Ln1MXh7XKQD14TJqJGJheJMmTfD555+jfv36yM7O5gxgAHj3e4hMNNYZvPeVVZi74WcMa3cR7ryqinUDNmtMnjwZ96alGzuPE5OSkJmRgdTU1BPWyKVNYBWsRi4VJMWmSxSANoHzU7VJkyYhLS0No0aNwvr16/HKK69QAPqJwID6ykRjnfiGA9/G1i1b8EKP63FT41rWDcRRo9mQd7Bh0zd4Jv06dGha+yRL5DIOYBWrSi4VIyQOdygA4wDPD1X37NmDmjVr4qyzzsKXX35pCEEKQD8wRx+ZaKz1gcysLHTt2tW1O4DzeheefXzixotxe/0UCkBr9PmmNMelb6iK6SgFYEyI/F3gjjvuwOuvv44FCxYYr4E7d+5MAehvSgPjPRONearNrMMzb81eycc/WIdXlu1Az2bV0O/amhSA9mBUvhbHpfIUmXaQAtA0VP4rOG/ePLRo0QJCBL722mtGABSA/uMxqB4z0Zhn3sxOXPPW7JXM+HQrRszciBsvOwfjb+UrYHsoql+L41J9jsx6SAFoFimflTt8+DAuueQSiFfAmzZtQvny5S0LwCNHjkD8hB9xDEylSpWwd+9elCxZUklERIeeM2cOWrZsieTkZCV9pFPmECCX5nASpcQMYLXq1RHKcxbf5s2bXbkJRPjw0ZpdePDttahbpQympdbNNwPIcWmeT5VLclyqzI413yK5PHToEMqWLYucnBxl87u16AovnRAS22M1fcJn/j333HPo2bPniSitzAAOHjwYQ4YMyYfQtGnTULx4cU2RY1hEwJ8IjJg2FyvefuGvnbiJiejevbvxRcitZ9t+4Ol1RfCvU0J4/PLjbjXLdogAEZCAwMGDB9GpUycKQAlYemoifObfxRdfjM8++8xIBuHHigDkDKCnNAa+cc40WOsCd09ZhYVffoN7LjkFXVrXd23mL+zlrpzDuHrMQiQnJWDtoBZIEvfR/f2QS2tcqlyaXKrMjjXfOANoDS9flG7WrBkWLlyIZcuWoV69k28DsCIA8wbLm0B8Qb82TnKtkTUqG4yYh505h/FO9wa4IqWMtcoSSh/PDeG8ATMh/l3x6DUoX7LYSQJwxowZaNOmDZdmSMDaSxMcl16iL7dtrgGUi6cS1kqXLo0DBw4Y7/PzPuL9vlgfeNppp6FEiRLGmj4xS2jmoQA0gxLLyEKAicY8koeOHscFg2YZFb4Y2BJlShQ1X1liyYYjs/HjvkN4t0cDXF75HxFKLiWC7LEpcukxARKbpwCUCKYqpoQAFELPzCMucd++fbuZoqAANAUTC0lCgInGPJDrd/6ONs8sQuniyfhyUCvzFSWX7DBxGZau+QY9Li+Ou1pfdeI1NLmUDLSH5silh+BLbpoCUDKgqpvjK2DVGaJ/YQSYaMz3hY/X7ELPaZ/j8sql8W6PhuYrSi7ZouvjmJc1LN9h1ORSMtAemiOXHoIvuWkKQMmAqm6OAlB1hugfBaD1PvBc9maMmf0Nbr68IsZ2uNS6AQk1xFE0lSunIBTKPWEtKSnJeMMgjqHiGkAJICtgggJQARIkuUABKAlIv5ihAPQLU/STicZ8H0h78RNMX/g57ruxEQZ0aGy+osSShR1G3bBhQwpAiVh7aYrj0kv05bZNASgXT+WtUQAqTxEd/BsBJhpzXWHy5Mm4Ny3dOP8vITERWZmZSE1NNVdZYqnCrqPjDKBEoD02xXHpMQESm6cAlAim7qa4CUR3htWKj4kmNh8q3AEc6eWwsc9hUL9ehhgVr38zMjIMMUouY3PplxLk0i9MxfaTAjA2RizxNwIUgOwKbiLARBMbbRXuAI70ct/Bo7i47xs4tm8nFj/RCdWrphh/JpexufRLCXLpF6Zi+0kBGBsjlqAAZB/wAAEmmtigqzYDKG7XvHDQJzj053Es6NsUVcqWoACMTaOvSnBc+oquQp2lANSHS8cj4Qyg4xCzgQgEmGjMdYfuA5/CxCcezvfa1Vxt+aWaj12Ab/f8gWlp9dGg2l+H0ZNL+Th7ZZFceoW8/HYpAOVjqq1FCkBtqVUyMCYac7SMnrURz3y4As0q5GJE55au3wGc18s7Jq3A4i17MfaWS3HzFRUpAM3R6JtSHJe+oSqmoxSAMSFigTACFIDsC24iwERjDu3uU1dj5rqfMKjthbinUVVzlRws1e/tr/D26h/Qt9V5uK95DQpAB7H2wjTHpReoO9MmBaAzuGpplQJQS1qVDYqJxhw1rZ9eiI0/7ceULnXR7Pxy5io5WGrcnG/wzLzN6FS/Mp688RIKQAex9sI0x6UXqDvTJgWgM7hqaZUCUEtalQ2KiSY2Nbm5IVwwaBaOHMvFp/2aIuWMvzZdePn8d+V3ePjdtWh2/pmY0qUeBaCXZDjQNselA6B6ZJIC0CPg/dgsBaAfWfOvz0w0sbn7cd8hNByZjeSkBGwY2hpFkhJjV3K4xKff7MHdL63E+eVPxycPXk0B6DDebpvnuHQbcefaowB0DlvtLFMAakep0gEx0cSm591Fa9DjhY9RrXp1LBl2S+wKLpTYsns/WoxbiNOLFcHawddSALqAuZtNcFy6ibazbVEAOouvVtYpALWiU/lgmGgKp0hcAZeWno5Qbi4SEhKRleXNFXB5vfzjyDGc/+DrOPbbTnw6vCPOr1aFx8AoP9rMO8hxaR4r1UtSAKrOkEL+UQAqREYAXGGiiU6yagdAR3r6193EaUAohMTERGRmZuKuu+7CjBkz0KZNGyQnJweg9+obIselPtxSAOrDpeORUAA6DjEbiECAiSZ6d1DtCriwp9GE6ebNm7FmzRoKQA1GOMelBiT+HQIFoD5cOh4JBaDjELMBCkBTfUDVGcBownTOnDn445QToWoAACAASURBVI8/KABNsat2IQpAtfmx4h0FoBW0Al6WAjDgHcDl8JloCgd8YmYWunfrpswVcMJbzgC6PEg8aI7j0gPQHWqSAtAhYHU0SwGoI6vqxsREUzg3Yrdt08HvIvmPn7FweEdUqlRJCTJP2pySmIgsrgFUghdZTnBcykLSezsUgN5z4BsPKAB9Q5UWjjLRFE7j7K9/Qvprq3HJOaUw/T+NlOI8c8ZnGDR1Lq6qfRHe638DdwErxU58znBcxoefSrUpAFViQ3FfKAAVJ0gz95hoYrwC/nQrRs7ciBsurYBnOl6mFPtLt+5Fp6wVOLdsCWT3bUoBqBQ78TnDcRkffirVpgBUiQ3FfaEAVJwgzdxjoimc0If+twZvrvoeD7SogQdanKcU+zt++QNNnlqAYsmJxg0lx44d4zEwSjFk3xmOS/vYqVaTAlA1RhT2hwJQYXI0dI2JpnBSO0xchpXbf8WE22qjXe1zlOoBR44dx/kDZhk+fTGwJU4rmkABqBRD9p3huLSPnWo1KQBVY0RhfygAFSZHQ9eYaAontc7wudh74Aim39cIl1QspVwPqDN8DvYeOIqP72+E884sTgGoHEP2HOK4tIebirUoAFVkRVGfKAAVJUZTt5hoohP7++E/cWHvacZ1awuG3Yaa1asq1wv+/exirP0xB5PuqoMmNf5FAagcQ/Yc4ri0h5uKtSgAVWRFUZ8oABUlRlO3mGiiEzt4zLMY0r/XSdetpaamKtUT0l9dhdnrf8awdhfhtjrnUAAqxY59Zzgu7WOnWk0KQNUYUdgfCkCFydHQNSaagkkVhy1XTklBKDf3RIGkpCRs374dFStWVKYnDP7wa7y8dDu6NamGPi2qUQAqw0x8jnBcxoefSrUpAFViQ3FfKAAVJ0gz95hoCiZU1XuA83qb8elWjJi5Ee1qV8CYmy+mANRkfHJcakIkcNLxTIcOHUKpUqWQk5ODkiVL6hNklEgSQqFQSPsoJQZIASgRTJqKiQATTSEzgJVTEAqpPQP44Vc7cf8bX6BelX/h9dQ6FIAxe7w/CnBc+oMnM15yBtAMSixjIEAByI7gJgJMNNHRvqTjQ1j35hil7gHO6+2q7b/i/0ZPR+ljezH9kZuwZs0atGnTBsnJyW52I7YlGQGOS8mAemiOAtBD8P3WNAWg3xjzt79MNAXzl5sbwoWPz8KBX3ZjzLXl0OiKS5Ra+xf2euyzL6Jvr54nNqp0794d48ePpwD097DkrS4+5y/SfQpAjch0OhQKQKcRpv1oH06cNfoHmR9+O4hGo+YjOSnBuGWjSFKich1HbFRJSUlBbsRGlcTERGzZsgVVq6p3ZI1yACrsEL+YKUyORdcoAC0CFuTiFIBBZt/92JloCsZ84Td7cNdLK1G93GmY27uJ+8SYaDHaRpU5c+agRYsWJiywiKoIcFyqyox1vygArWMW2BoUgIGl3pPAmWgKhv3lJdswePp6XHtReWTcWccTbmI1yhnAWAj59+8cl/7lLq/nFID6cOl4JBSAjkPMBiIQYKIpuDsMfH8dXlu+A92bVsNDrWsq22cmT56MtPR047xC8fqXawCVpcqSYxyXluBSujAFoNL0qOUcBaBafOjuDRNNwQzfOPpDLPviawy+4xp0u76e0t2g/yvZePWTFejUoi6anPEHdwErzZY55zguzeHkh1IUgH5gSREfKQAVISIgbjDR5CdazKrdm5ZuHP8iZtUyMzOh2hVwkV6/tHgbhn60Hq0vKo/rSv5IAajB2OW41IDEv0OgANSHS8cjoQB0HGI2wFfAUftAQevqVLwCLjKAWet2odvUz3FpxVK4p9IvFIAajHAKQA1IpAAEbwKx2I8pAC0CxuJxIcBEczJ8frkCLtLrr77fh3bPL0H500/BoxfzFXBcA0KRyhyXihAhwQ3OAEoAMSgmKACDwrQacTLRnMyDmAGsnJJibKoIP6rPAO7ZfwR1n5iLhARgbL1j+Hdb3gSixuiy7wXHpX3sVKtJAagaIwr7QwGoMDkausZEk5/UW3s/gbeeHqT0FXCRXotbS2oOnIWjx3Mx6LJjuPMmCkC/D1WOS78z+I//FID6cOl4JBSAjkPMBiIQYKLJ3x3um/Y53l+8FreeXwQP3txEySvg8np99ej5+O7Xg7j/omP4z20UgH4f5ByXfmeQAlAgwDWAFvsxBaBFwFg8LgSYaPLD12bCIqzf9Tsm310H11xQPi583ap8a8YyrNj2K+6sfhyD7r6OdwG7BbxD7XBcOgSsB2Y5A+gB6H5tkgLQr8z5028mmpN5E69TL3r8Exz68zjm922KqmVL+ILYB9/8Em9/+hXqFv0e43rdzruAfcFadCc5Ln1OYJS3LIcOHUKpUqWQk5ODkiVL6hNklEg4A2iRYgpAi4CxeFwIMNGcDN+P+w6h4chsJCclYMPQ1iiSlBgXvm5Vbv/gcLwzQaxbDPni7EK3cPFrOxyXfmUuv9+cAdSHS8cjoQB0HGI2EOXbaXJycuCxWbR5D+6cvBLVy52Gub2b+AIPP+5c9gWwHjpJAegh+JKbpgCUDKjO5igAdWZXvdiYaE7mZPz7yzDqzQVoXr8Wpj1wvXqEFeCRH88u9AWwHjrJcekh+JKbpgCUDKjO5igAdWZXvdiYaP7hRFwBl5aWjlAoFwkJicjKUvsKuLDnfry9RL2RoJZHHJdq8RGPNxSA8aAXsLoUgAEj3ONwmWj+IsDvIur5iZm4r0d335xd6HG3V755jkvlKTLtIAWgaaj8VfD999/HzJkzsWrVKuzcuRO//PILihcvjgsvvBC33norunfvjqJFi1oKigLQElwsHCcCTDR/AajDa9SL+ryOX3Z9h9ceaIuW9S6Js2ewupcIcFx6ib7ctikA5eKpjLVGjRphyZIlOOWUU1ChQgWcccYZ2LVrF3788UfDxyuuuAJz585F6dKlTftMAWgaKhaUgAATjR4zgCKKts8swrqdv2Nip9poXescCb2DJrxCgOPSK+Tlt0sBKB9TJSy+/PLLqFKlCho2bHjSwavLly/HLbfcYrxW6tGjB55//nnT/lIAmoaKBSUgwETzD4iPj34GQx9+0LevUdNf/Qyz1+/GwOtrIrVxNQm9gya8QoDj0ivk5bdLASgfU+Utvv322+jQoYMxMxieETTjNAWgGZRYRhYCTDT/IPnWqu/R+6VsXFDiD0zpdYMvroCL7AdDP1yHl5buwD0NUjDohotldRHa8QABjksPQHeoSQpAh4BV2ezatWtRq1Yt4/Xvb7/9ZtpVCkDTULGgBASYaP4B8ckZG5C58Ft0blAFg2+4SAK67pqYvGgrhn28Ea0uLIfMu+q62zhbk4oAx6VUOD01RgHoKfzeNJ6ZmYmuXbuiefPmmDdvnmknKABNQ8WCEhBgovkHxC5TVmL+pj144saLcXv9FAnoumti1tof0e31L3FRhdPx8f1Xu9s4W5OKAMelVDg9NUYB6Cn87jV+/PhxYxPIhx9+iIcffhi5ubnIzs5GvXr1TDtBAWgaKhaUgAATzT8gNhqVjR9+O4S3ul6FelX/JQFdd02s/f5X/Pv5ZShTPBlfDGrlbuNsTSoCHJdS4fTUGAWgp/A73/jTTz+NBx988KSG/u///g/Dhg3DxRcXvhbnyJEjED/hRwjASpUqYe/evcpeFi069Jw5c9CyZcuTNr84jzRbkI0AufwL0YNHj+HSYdnGf698pCnKFLd2fJNsXuzY+3X/IdQfvcio+sWA5jjtlCJ2zLCOAghwXCpAgiQXIrk8dOgQypYti5ycHGXzu6SwDTMJoVAoJNOgirbEho8JEyZAEL1jxw78/PPPKFWqFHr27ImhQ4ciKSkpqtuDBw/GkCFD8v192rRpxpmCfIgAEXAegTU79uL5ZbtRqtzZGN28jPMNOtTCIyuTcPB4Ah669Bgq8OPDIZRplgjYQ+DgwYPo1KkTBaA9+PxRa8WKFcb6v6+++grdunXDiy++GNVxzgD6g1NdveRMAzBlyhR0694dodxcICERGRNfRJcuXXxHueCyyaC38P2PuzAmtSVubXKp72Kgw38hwHGpT0/gDKA+XJqORNwMcu655xoD+dtvv0VKirlF5VwDaBpiFpSAQNDXGvn9CrjILmBsPOvWDQiFkJCYiKxMf9xlLKEba2ci6ONSJ0K5BlAnNi3EcuWVV0LMBn7wwQe44YYbTNWkADQFEwtJQiDoiUaHK+BEV9BJyErq2r42E/Rx6Wvy8jhPAagTmxZiqVOnDlavXo133nkHN910k6maFICmYGIhSQgEPdHoIpx0EbKSurXvzQR9XPqewIgAKAB1YtNkLNu3b0eNGjVw7NgxbNmyBdWqmbuaiQLQJMAsJgUBJhpgYmYWuhuvTnONDVsZGRlITU2Vgq9bRnQRsm7hpXo7HJeqM2TePwpA81j5pqSY2RPn/d19993GWr/IZ9asWcaxMBs3bkSbNm3w8ccfm46LAtA0VCwoAQEmGmD9zt/Ravh7OOXgbiwYdptxDJMfH7EGsHv37sb5o2Izy6QsrgH0I4/CZ45LvzKX328KQH24PBHJggUL0KxZM+P/zzrrLOPe0KNHj+K7777Dvn37jN/XrVsXM2bMMM79MftQAJpFiuVkIMBEA3zw5Y/o9d8vUSelDP7XvYEMWD2xIbjMmPIqhi/YjSKlK+Cbp29H8aI8C9ATMuJslOMyTgAVqk4BqBAZslwR9/u+9tprxjVvX3/9tXH2nxCAZ5xxBmrXro0OHTrgjjvuQJEi1j6AKQBlMUQ7ZhBgogHGzt6EZ7O3oGO9ShhxUy0zsClZJszlgC+KYf/hY5jz4NWoUf50JX2lU4UjwHGpTw+hANSHS8cjoQB0HGI2EIEAEw3Q7bXVmPX1TxjY9kKkNqrq2/4R5vLFbWWw8af9mNK5LprVLOfbeILsOMelPuxTAHrE5e7duyF+9u/fb1y7Uq5cOZx55pkeeWOuWQpAczixlBwEmGiAhgPfxtYtW/Bc9zZof7V/D08Oczn9t7Mxd+MeDPu/i3HnlebOH5XTm2hFFgIcl7KQ9N4OBaCLHGzduhVjx441Nl6InXF5n8qVK6Nt27bo3bs3qlZV79s+BaCLnYVNBX6xeUZmFrp162ocnpyYmAixkcJvO4DD3TicaFaHzsWry79D1ybn4pHrLmAv9yECFIA+JC2KyxSALnGZlZWF//znP0ZSK+wK4oSEBCQnJ2PixIno3LmzS96Za4YC0BxOLCUHgSAnGt2OTglz+XPpi/DkzE24vtbZeL7T5XI6Cq24ikCQx6WrQLvQGAWgCyC/++67aN++vdHSZZddhvT0dDRq1Mg40qFEiRI4cOCAsUN38eLFxrd8cU+vEILvvfee6Vs6XAgDFIBuoMw28s4aieOKxJeiID26HZ4cTjRFqlyBnm98hUsrlcYHPRsGiVJtYqUA1IbKk96yHDp0CKVKlUJOTo6xLE33JyFU2FScpOiPHDkC8Wp37969ePTRRzF06FBD3EV7hEsDBgzAiBEjUL58eUMYqpL8KAAldQqaMYVAkBONmAGsXDkFoVDuCazEQdDiEHdxrJPfnjCXKbUboe2oj1Di8B7MG3qbL2PxG/ay/Q3yuJSNpdf2OAPoMAOvv/467rzzTrRr186Y0TP7iPIfffQRpk6dio4dO5qt5mg5CkBH4aXxPAgEPdE0vmcgFr/8pK9vAck7m7vtu514sFdPLdY1BnXABn1c6sQ7BaDDbIp1fOJMvqVLl6J+/fqmW1u2bBkaNmxo3OYxZcoU0/WcLEgB6CS6tJ0XgaAnmkajsrF9x/d4pGFptGtyha9nywSXr776qrH8xbgN5O/Hz7OaQR2xQR+XOvFOAegwm7Vq1cKOHTuMGzgKe/Wb1w3xKrh06dKoUqWKsSZQhYcCUAUWguNDkBPN/sN/4pLBsw2yvxjYEmVKFPU18YLLUaNGYeDAgfniEOsdmzZt6uv4guR8kMelbjxTADrMqFjHJ37WrFljuSUhHsUtHuJHhYcCUAUWguNDkBPN6h2/4uYXl+GsksWw/NFrfE86ZwB9T+GJAII8LvVh8a9IKAAdZrRYsWLGvbuLFi2y3JLYKbxq1SocPnzYcl0nKlAAOoEqbUZDIMiJZuryHRjw/jo0Pf9MvNylnu87yYljYH7+Gd26d0coNxcJiYnI8vHZhr4nxWYAQR6XNiFTthoFoMPUiANchZBbuHCh5ZYaN25srB08fvy45bpOVKAAdAJV2qQAzI9Ar0lz8ea8z9C5zZUYeWcz33eSyETzwoxVGPHmAjSrewneeLCt72MLWgAUgPowTgHoMJcUgA4DnMc8P5zcxdvJ1oLK5eTJk3FvWrqx+1eXWbJILpdu24e7X1qJ88qfhtkPNnGyC9G2AwgEdVw6AKXnJikAHaZACEDxGviss86y3NKuXbtw9OhRzgBaQI4fThbAUrxoELnU7QaQcBeL5PLHnKNoOmYBiiUnYsPQ1pY2xyneZQPhXhDHpa7EUgA6zKwQgPE8YucwXwGbR5AfTuaxUr1kELnU7QaQggQgEpNQc+AsHM8NYcWj16B8yWKqd0X6F4FAEMelrh2AAtBhZl955ZW4WxBnAarwcA2gCiwEx4cgJpogzACKm40aj87G978ewltdr0K9qv8KTqfWINIgjksNaCswBApAXZl1IC4KQAdApcmoCAQ10dzebwSmjR2gxQ0gBc0ACgF4x6QVWLxlL55qXwu31KnEUeAjBII6Ln1EkWlXKQBNQyW34G+//YYff/wR+/fvx+mnn45zzjkHZcqUkduIZGsUgJIBpblCEQhqovnPG1/gvUVrcMt5RdCnfRNf3wASTQA++t5aTFvxHe5vXh29W53PkeAjBII6Ln1EkWlXKQBNQxV/wT179uC5557DW2+9hW+++SafwRo1auC2225Djx49UK5cufgblGyBAlAyoDRHAVgAAi3HfYrNuw9gSpe6aHa+ep8DdrptXtEw8dOtGP7mYtQ74wie6dpGC5FrBxc/1qEA9CNrBftMAegSl++99x7uvfde40o4cc1btEds+ihVqhSysrJw8803u+SduWYoAM3hxFJyEAhiojly7DguHPSJsUFi+SPX4KxSemyQyMvlA0PGYsKQfkAoBLFRLpMHQssZNC5YCeK4dAFWT5qgAHQB9rfffhudOnUydvOWLVsWt99+O66++mpUq1YNJUqUwB9//IGtW7cah0W//vrr2Lt3r/GhOG3aNHTo0MEFD801QQFoDieWkoNAEBPN1ztzcP0zi1Hq1GR8OailNkekRHIprrZMSUlBbm7uiY6SlJSE7du3cyZQztBx1EoQx6WjgHponALQYfB3794N8WpXrPXr0qULJkyYgNNOOy1qqwcOHMD999+Pl19+2VgbuHnzZmVeB1MAOtxZaP4kBIKYaDJnfIZBr81F3UsvxPSH22nTIyK5XLx4MZo3b54vNnEETtOmTbWJWddAgjgug8DloUOHjLePOTk5KFmypK4hn4grIVTYu1hJ4Q8aNAjDhw9Hx44djdk9s4+YMXzzzTfx2GOPYejQoWarOVqOAtBReGk8DwJBSzTiBpC0tHSExA0gCYnIyspEamqqFv2CM4Ba0GgEEbRxqQ9z+SPhDKDD7NapUwdffvklduzYYez0NfuIHcKVK1dG7dq1sXr1arPVHC1HAegovDQeYAGo6/l/YUrzigZD7KanI5Sbi8TEJGRmZmgjdnUfyBSA+jBMAegwl2eccYbxCnfDhg2WW7rgggsg1sv8+uuvlus6UYEC0AlUaTMaAkFKNLreABJNAIrf98icg3cXrELXtg0xpNPVHAg+QSBI49InlNh2kwLQNnTmKp566qmoVasWVqxYYa5CRKl69eph7dq1EO/mVXgoAFVgITg+BCnRBG0GUPRicRTMyJkb0a52BUy47bLgdGyfRxqkcelzqmK6TwEYE6L4CojdbkeOHMFPP/1k2VD58uVRrFgx4/WxCg8FoAosBMeHoCWaB4eOw9ODxdEouRC7YjMy9HktWhCXs9b9hG5TV6NWxVL48L5GwenYPo80aOPS53QV6j4FoMPs3nrrrfjf//6HmTNnolWrVqZb++STT3DdddfhlltuMTaDqPBQAKrAQnB8CFqiGTt7E8a/vxyNyv+JMamttToSpSAuv/l5P1qNX4jTixXBmsdbaXPkje4jNGjjUmc+KQAdZnf69Olo164dzj33XCxatAhnn312zBZ37tyJxo0bG+divf/++/j3v/8ds44bBSgA3UCZbYQRCFqi6TJlJeZv2oOh7S7CXVdV0aojFMTl4T+P44JBs8RZ0Fg1oAXKnnaKVjHrGkzQxqWuPIq4KABdYLd169aYPXs2KlSogLFjx6J9+/bGK568jzgYVRwa3adPH+zatQstWrSAmAlU5aEAVIWJYPgRtERT94m52LP/CN7p3gBXpKh9L7jVHhiNy4Yjs/HjvkP4X7erUKfKv6yaZXkPEAjauPQAYteapAB0AWohnISYW7VqlfGaQ9wG0qBBg3w3gSxdutS4BUQcT3j55ZcjOztbqQMZKQBd6Cxs4gQCQUo0P/9+GFc8/CaO79uJhcM7oca5KVr1hGhc3jFpBRZ8vhH31CqG9LYNtXrtrRWBEcEEaVzqymFBb1l4ELSDbItBIw6Ffv755yFu+xCPEIPhJ3wmtbgarmfPnsbhz0WLFnXQI+umKQCtY8Ya9hEIUqLpO3w8xg7qo+3duNG4bHvfUHz8wmBt47bf+9WtGaRxqS4LcjzjDKAcHE1bEdeszJgxA2K2Txz2LK6IE1e+iUOixaxgmzZtjOtYVHwoAFVkRV+fgpJoxBEwlVNSjEORw49ud+MWxGUQ4tZxdAZlXOrIXd6YKACDwLKkGCkAJQFJM6YQCEqi0f0QaEF2QVwGIW5THd1nhYIyLn1Giy13KQBtwRbMShSAweTdq6iDkmjETFilyinG+X9BmwEU56SKzW+6xu3V2HGy3aCMSycxVMU2BaAqTPjADwpAH5CkkYtBSTRi52/NDv3x6yfPaXkIdLQZQPH7rKxJSO/aVdu4NRqOJ0IJyrjUkTu+Av4HgYRQeOdFEJiWECMFoAQQacI0AkFJNAs27UbnKZ+hQvJBPHnNmahevbp2u2EL47LZkHewYdM3GH9va3RszivhTA8QjwoGZVx6BK+rzXIG0FW4/d0YBaC/+fOb90FJNM9lb8aY2d/ghksr4JmOegqgwri8/40v8OFXO/HwdTXRrUk1v3XTwPkblHEZBGIpAIPAsqQYKQAlAUkzphAISqK5Y8IMzF3+FXrffDX6t29oChu/FSqMywlzN2P83G9wyxUV8dQtl/ottMD5G5RxGQRiKQCDwLKkGCkAJQFJM6YQCEKimTx5Mu5NSzfWwCUmJiIzMxOpqamm8PFTocK4/HjNLvSc9jkuq1wa7/XQUwD7iatYvgZhXMbCQJe/UwDqwqQLcVAAugAymziBgO6JRuz+Dcou2MK43PjT72j99CKcXqwI1jze6qQD8jkc1ENA93GpHuLOeUQB6By22lmmANSOUqUD0j3RBOkcvMK4PPzncZz3wFQc/XUnZj1+C2rXrK50vwy6c7qPyyDxSwEYJLbjjJUCME4AWd0SAronmiDdhFEYl0F5DW6p8ytcWPdxqTD00l2jAJQOqb4GKQD15VbFyIKQaK7qMgDLXxmh/Tl40bgM0mtwFceYHZ+CMC7t4OLHOhSAfmTNI58pAD0CPqDN6p5ocnNDqD10Nn7d/ROGNjsDra6qrd35f+GuG43LIL0G12UY6z4udeHJTBwUgGZQYhkDAQpAdgQ3EdA90WzZfQAtxn2KYsmJWDv4WiQnJboJr6ttcQbQVbgdbUz3cekoeIoZpwBUjBCV3aEAVJkd/XzTPdG8+PFKDJk6D3VqXYiPHmmnH4EREcVaAyiug8s9fhxISERWZgbuvfderfHwc3C6j0s/c2PVdwpAq4j5oLy44W7JkiX44IMPsGjRImzcuBEHDx5E2bJlcdVVV+G+++5Ds2bNLEdCAWgZMlaIAwGdE43Y+JCWlo5QKBcJQvRk6Xn+X6xXwOG/b9m2A40fm4ak0hXw+chbUa5ksTh6Dqs6iYDO49JJ3FS0TQGoIitx+jRv3jy0aNHCsCIOlxV3i5YoUQKbN2/GgQMHjN8PGDAAw4YNs9QSBaAluFg4TgR0TTRB3PhghsvmYxfg2z1/4LXUemhc48w4ew+rO4WAGS6dapt25SJAASgXTyWszZ07F927d0fv3r1x2223oUyZMoZfR48exeDBgzFixAjj/6dPn462bdua9pkC0DRULCgBAV0TTRA3PpjhsvvU1Zi57icMuP4C3Nv4XAk9iCacQMAMl060S5vyEaAAlI+p5xaFUCtevDiKFClSoC9t2rTBzJkzccMNNxivic0+FIBmkWI5GQjommg4A5hcYPcYP+cbTJi3GR3qVMTo9rwTWMYYcsKGruPSCaxUt0kBqDpDDvg3fvx4Y3awZs2a2LBhg+kWKABNQ8WCEhDQOdHc3m8Epo0doP35f+FuYIbLGWt3If3F2UgpkoM3+9+k7ZE4EoaGpybMcOmpg2zcNAIUgKah0qegeAX86KOP4rLLLsPnn39uOjAKQNNQsaAEBHRONPe+8hlmrViPjhcURa8bG2svdsxwOWL883i0z3+AUMhYu5yZqffGGAlDxBMTZrj0xDE2ahkBCkDLkPm7gtghfMUVV+CLL74wdgM/++yzpgOiADQNFQtKQEDXRCPGYJ3hc/HLH0fxbo8GuLzyX2t0dX5icRnE1+J+5TsWl36NK4h+UwAGjHXxrbpr164oWrQo1q9fj2rVqkVF4MiRIxA/4UcIwEqVKmHv3r0oWbKkksiJDj1nzhy0bNkSyckFrzVS0nE6lQ8BXblcvm4zbhn9AU4tew7Wjr4VpxTR9wDoMKmxuFywYAFatWqVrw+IsdykSROODoUQiMWlQq7SlRgIRHJ5/i6Q+wAAIABJREFU6NAh46i4nJwcZfO7TEITQuKreIAe8bq3YcOGOHz4MEaPHo1+/foVGr3YMTxkyJB8ZaZNm2ZsMuFDBIiANQSEoHnhhRdgfPQkJKBnjx7Gl5WgP+JLZVpa2l+4/P2EXwOLpMSHCBABZxEQZwV36tSJAtBZmL2xvm3bNkP87dq1yyB56tSpSEhIKNQZzgB6wxVb/QsB3WYaxGtOcSZnbm7uCYqTkpKM8zkrVqyoNe1muJwyZYpxfJXAJyExERNffBFdunTRGhc/BmeGSz/GFUSfOQMYANZ/+uknNGrUCFu3bsX111+P9957z9brUa4BDEBnUShE3dYaBfH8v3B3Msvl9KVrkfbcRzinclWsHnmbQr2RrljlkoipjwDXAKrPUVwe/vrrr8YamnXr1hn/ivP/Tj31VFs2KQBtwcZKNhEwKxpsmne9WpA3Opjl8vfDf6LW4NkGN18OaonSxYu6zhMbLBwBs1wSR/URoABUnyPbHopr38SVcCtWrEDdunUhrog7/fTTbdujALQNHSvaQEDHRPPg0HF4enC/wJz/Z2fW6OrR8/HdrwcxLa0+GlTj+j8bQ8fRKjqOS0cBU9g4BaDC5MTjmli/J278yM7OxkUXXYSFCxfiX//6VzwmQQEYF3ysbBEBHRPN0OnrkTnzMzSrcBwjOrfSfu2fHQHY7bXV+GjZOtx2fhE8cHOTwGBkcXh4VlzHcekZmB43TAHoMQFONH/8+HG0b98e77//vnHMy6JFi3D22WfH3RQFYNwQ0oAFBHRMNM2GvIMNG7/BiC4t0aVVHQto+LuoFS479n0S/x0nbknhgdAqsm6FSxX9p0//IEABqGFveOONN4ydvuKpUaMGypUrV2CUQhS+/fbbphGgADQNFQtKQEC3RPPsi5m4v2e3QAobs1wGeZ2khCHjigmzXLriDBuJCwEKwLjgU7Pyyy+/bOr4hJSUFGzfvt10EBSApqFiQQkI6JRogi5szHIZ5J3SEoaMKybMcumKM2wkLgQoAOOCL1iVKQCDxbfX0eqUaIIubMxyGXSh7PWYM9O+WS7N2GIZbxGgAPQWf1+1TgHoK7p876xOiUYIm0qVU4zdv+FHHAItZuB1PwRaxGuFy8mTJyMtPR2h3FwkJiYhMzMDqampvu/PugRghUtdYtY1DgpAXZl1IC4KQAdApcmoCOiUaMT5dtVu6ou9s54L3BEwVgWgKD/kjUV4cfpitG10OSb1uJajRCEEdBqXCsHqiSsUgJ7A7s9GKQD9yZtfvdYp0WRv/Bn3vLwKZyf9gREtyxlXwgVh5i/c96xyOX/TbnSZ8hnOPbMEsvs09WsX1tJvq1xqCYImQVEAakKkG2FQALqBMtuwKxpURu7hV+fj5ZnLcVPTOniha0uVXXXEN6ui4ZcDR3DF8Lk49vteZLSrgEsvuiBQgtkREiQZtcqlpGZpxgEEKAAdAFVXkxSAujKrZly6JBqxpu3etHTj1W9CYiKyMjMDt6bNDpfVb+6Lre+NC+SxOWqOyL+8ssOlyvEE2TcKwCCzbzF2CkCLgLF4XAjokGi4q9WeaBC4Va6cglBAN83ENXAcrqzDuHQYIt+YpwD0DVXeO0oB6D0HQfJAh0QT9ONfwv3VKpfETd2RbpVLdSOhZxSA7AOmEaAANA0VC0pAQIdEw5ks+zOA4qD63NxgHpsjYfg4ZkKHcekYOD4zTAHoM8K8dJcC0Ev0g9e2DokmFArhvFv6Ycu74wN5/IvdGUBR78WMLPToLq7Oy4U4MzEjg+cBqvApoMO4VAFHFXygAFSBBZ/4QAHoE6I0cVOHRLPkq024eeS7SC5WHJkdL8YlF54fyN2sdrlsOexdrN2wCU92bol7WtXRpGf7Owy7XPo7aj29pwDUk1dHoqIAdARWGo2CgN8TTeSNFkhIxKSs4O3+jWcGUNQd/OHXeHnpdnRuUAWDb7iIY0UBBPw+LhWAUBkXKACVoUJ9RygA1edIJw/9nGi4+/fknmiXyw+/2okeGXNQuUgO3up/UyBnT1Ub03a5VC0O+nPykT6HDh1CqVKlkJOTg5IlS2oPT0JILNDhYxoBCkDTULGgBAT8nGi4i1WOABzzzIvo90BPngUoYTzJMuHncSkLA13scAZQFyZdiIMC0AWQ2cQJBPycaDgDGL8AJIZqfhj4eVyqiah3XlEAeoe971qmAPQdZb522O+J5sb7h+H95wZzF6vN2yM4i6rm8PX7uFQTVW+8ogD0BndftkoB6EvafOu03xPN1Y+/jQ1frkZq46q477brA71+zQ6XnAFUc+ja4VLNSOgVBSD7gGkEKABNQ8WCEhDwc6IZ++yL6NuLa9fC3cAul2IndXrXrsg9fhxiJ3VGxkSkp6VJ6F00YRcBu1zabY/1nEOAAtA5bLWzTAGoHaVKB+TXRGPc/pGSghBvsTjRv+Lh8rvvvkfzx/+Lw6eWwwcP3YArUsoo3W91dy4eLnXHxm/xUQD6jTEP/aUA9BD8ADbt10TDtWv5O2u8XHZ9bRU+XvY12tdIQt9bmgb6dbrXHwXxcum1/2z/HwQoANkbTCNAAWgaKhaUgIBfE803W7fj/BrnGkeXhB9xldn27dsDK1zi5bLLwyPx8uhHeRyMhHEVr4l4uYy3fdaXhwAFoDwstbdEAag9xUoF6NdEM2PtLtzZfyR+/eQ57gD+u0fFwyU3gyg1LBEPl2pFQm8oANkHTCNAAWgaKhaUgIBfE809z83CjCVf4Kb61dChdjlUr149sDN/4W4QD5d8pS5hMEk0EQ+XEt2gKQkIUABKADEoJigAg8K0GnH6MdFMzMxC925d+aoyTxeKh0vOAKoxHmWIebUioTcUgOwDphGgADQNFQtKQCAe0SChecsmKFSiQxYvl8ZxMOldkZt7HAmJicjKzERqaqpljlghfgTi5TJ+D2hBFgIUgLKQDIAdCsAAkKxQiH5LNHxV6ZwAFJZXrt2MG0b8D0WKnorMjhej1kU1A/9q3Yvh6rdx6QVGfmmTAtAvTCngJwWgAiQEyAW/JZod332PKlWqGBs/wk/Qd//Kfm14Xvt+2PzuWL5i9/BzwG/j0kOolG+aAlB5itRxkAJQHS6C4InfEs30pWtxxwOD8fuq97n7N08HlcGlccB25RSEKLA9Hf4yuPQ0ADZ+AgEKQHYG0whQAJqGigUlIOCnRCPWqKWlpf8tThLQt28f9OrVi68o/+4HMrjkK3YJg0qCCRlcSnCDJiQgQAEoAcSgmKAADArTasTpl0TDzR+x+4sMLolzbJzdKCGDSzf8ZBuxEaAAjI0RS/yNAAUgu4KbCPgl0XBmKnavkMWlMdOanm7cs5yYmITMzAzuBo4Nv9QSsriU6hSN2UKAAtAWbMGsRAEYTN69itoviYZr02L3EJlcjn5nCZ56bTpqlj8dbwy8m6/ZY8MvtYRMLqU6RmOWEaAAtAxZcCtQAAaXey8i90ui2bp9B668vQ/2LnuPmz+idBSZXI58+nk80vs/3AnsxaAEeBWcR7g70SwFoBOoamqTAlBTYhUNS6ZocCrEyFeSQAL69OmDBx7g5o+8eMvikusAnerJ5u3K4tJ8iyzpFAIUgE4hq6FdCkANSVU4JNUTDcWI+c4ji0uutzSPuVMlZXHplH+0ax4BCkDzWAW+JAVg4LuAqwConmgoRsx3B1lcUnSbx9ypkrK4dMo/2jWPAAWgeawCX5ICMPBdwFUAVE80xuaPlBRjR2r44c0fBXcRmVyK1+5du3bF8ePHgYRE9B82FqMee8DVvhnkxmRyGWQcVYidAlAFFnziAwWgT4jSxE0/JJpLbroP695/wdiQIMRfRgaPJSmo+8nmUojvh6bMRvbmHDSrVhKjU6/lbmCXxr1sLl1ym80UgAAFILuFaQQoAE1DxYISEFA90Yye8CIeerCnIf4SEhIwatQo9OvXT0Lk+plwgsuHnngaowf25m5gl7uLE1y6HAKb+xsBCkB2BdMIUACahooFJSCgcqLh619rBMvmkmsBreEvs7RsLmX6RlvWEKAAtIZXoEtTAAaafteDVznRzJk7D61atsiHidgY0rRpU9exUr1B2VxyA453jMvm0rtI2DIFIPuAaQQoAE1DxYISEFA50YyfNgO9b28LIHQiUm4AiU66bC4LmgFMTEzE8uXLUbduXQm9jyaiISCbSyLtHQIUgN5h77uWKQB9R5mvHVY10YhdqPempRu3foQfbgApvKs5weVJu4H/bl6IwMzMTN4P7ODId4JLB92l6UIQoABk9zCNAAWgaahYUAICKiYazjzZI9YpLj/77DPUr18foRBnYu0xY72WU1xa94Q14kWAAjBeBANUnwIwQGQrEKqKiYZrz+x1DKe4JB/2+IinllNcxuMT69pDgALQHm6BrEUBGEjaPQtaxUSzaMkyXN2oIdf+WewVTnHJ3cAWiZBQ3CkuJbhGExYRoAC0CFiQi1MABpl992NXLdGINWdp6en5bv7g4c+x+4aTXApe0tPTkStuZElIQN8+fdCrVy8eDB2bFlslnOTSlkOsZBsBCkDb0Kldcdu2bZg7dy5Wrlxp/Hz99dfG1UnDhg3DgAEDbDlPAWgLNlayiYBKiYZr/2yS+Hc1p7lcs2krrr67P3JWvseDoeOjKmZtp7mM6QALSEOAAlAalGoZeuCBBzBhwoR8TlEAqsUTvYmOgEqJhmvN4uupTnNpHMxdOQWhPDuzt2/fzpnA+KjLV9tpLiW7S3OFIEABqGn3GD58OFasWIF69eoZ52JNmjQJ77zzDmcANeVbx7BUSjRit2m9+vWN2aXww3P/zPc6p7mkQDfPRbwlneYyXv9Y3zwCFIDmsfJ1yc6dO+OVV16hAPQ1i8FyXpVEc9Ias78p4Ll/1vqi01xGe0W/Y8cOzgBaoypmaae5jOkAC0hDgAJQGpRqG6IAVJsfepcfARUSDdf+yemZbnBpbNJJSztxJmBCQgKysrJ4KLQcCk9YcYNLyS7TXBQEKAAD0jUoAANCtEZhqpBo+GpRTodyg0seCSOHq1hW3OAylg/8uxwEKADl4Ki8FQpA5Smig3kQUCHRPPXUU+jfv/9JnnHtn/Wu6gaXFOvWebFTww0u7fjFOtYRoAC0jpkva9gRgEeOHIH4CT/iGJhKlSph7969KFmypJI4iA49Z84ctGzZEsnJyUr6SKfMIeA1l2JGqXr16n+dLxfxjBgxAn369DEXBEsZCLjBZUF8JSQmYvGiRcZGOD5yEHCDSzme0kosBCK5PHToEMqWLYucnBxl83useKz8PSEUeYGklZo+LGtHAA4ePBhDhgzJF+20adNQvHhxH6JAl4mAeQTWrl2LgQMH5qsgjlK65JJLzBtiSdcQEF/+XnzxxZNEu1gL2KNHD+NLIR8iQAQKRuDgwYPo1KkTBaCOHcSOAOQMoI49wT8xeT3T8M4nC9Dx39fmu/Zt8+bN3FlqsRu5yaU4sqdRo0YnNoMIV8Vre/JmkbQoxd3kUo7HtBINAc4ABqRv2BGAeaHhTSAB6SyKhOnlWqO/dpSm5ztYmNe+2escbnIZbS3gW2+9hVtuucVeAKx1AgE3uSTsziLANYDO4quMdQpAZaigIyYR8CrR8OgXkwRZKOYmlwXxJ1xNTExEZmYmj4WxwFtBRd3kMk5XWT0GAhSAAekiFIABIVqjML1KNG+++SZuu+22fEiKmaWmTZtqhLB7objNZUGHd4touYM7fs7d5jJ+j2khGgIUgAHpGxSAASFaozC9SDR5DxMOw0nhEF/H8oJL8cr31ltvpZCPj7p8tb3gUnIINPc3AhSAAekKFIABIVqjMN1ONNFeHfLat/g7ldtcCo/5Kj9+3vgK2BkMVbFKAagKE5L9WLJkCdq1a3fC6oEDB4wz/cTxLaeeeuqJ33/xxRfG2X5mHm4CMYMSy8hCwG3RwM0DspjLb8dtLsMeGK+Cu3ZF7vHjJ5ziWsD4ePaKy/i8Zu1YYl6cA1iqVCkeA6NDV1mwYAGaNWsWM5Rt27ahSpUqMcuJAhSApmBiIUkIuJ1oHhv6JJ58/LGTvOerXzlkus1lpNfiWJh69esDodCJX5NX+7x6yaV9r1mTAvBkBAJ1ELSM7k8BKANF2jCLgJuJpiCRIPwUV8H17dvXrMssFwUBN7nM6wKviJPbLb3kUm4ktMZXwOwDphGgADQNFQtKQMCtRBNt44cIgTt/JRD591VwM2bMQJs2bVy/ojHa2k6Ke3vcujUu7XnHWlYQoAC0glbAy1IABrwDuBy+G4kmmjgQofI1oTzC3eCyMG+F2Ovfv/9JRcRawOXLl/OeYIs0e82lRXdZvBAEKADZPUwjQAFoGioWlICAG4km2lEh3CgggcAIE25wWZjH0V4Dk2frPHvNpXWPWSMaAhSA7BumEaAANA0VC0pAwOlEE+3VL2eGJJCXx4TTXMbymDO9sRAy/3evuTTvKUvGQoACMBZC/PsJBCgA2RncRMDJRCM2fdSvf+VJd/2K2HjmnzMMO8mlWY+j3Q4i6vOeYLMoAipwad5bliwMAQpA9g/TCFAAmoaKBSUg4FSiKWzTB4WABOIKMOEUl1a9FcL/yiuvRG5u7klV+SrYPJKqcGneY5aMhgAFIPuGaQQoAE1DxYISEHAi0fBVoARibJhwgksbbhhVos0EChG4Y8cOVKxY0a7pQNRTictAAO5gkBSADoKrm2kKQN0YVTseJxINNwN4w7kTXMYTSbTNP+LMR7FjmE90BFTjklzZR4AC0D52gatJARg4yj0N2IlEM/TJkXj8sUdOioubPpyn2Qku4/FazARXrlwZoYjbQYQ99oXYqKrGZWyPWSIaAhSA7BumEaAANA0VC0pAQHaiWb5iJa666sqTrgQTbvJAYAlkxTAhm0sZHvfr1w9jxozJZ4rrAQtHV0UuZfSHINqgAAwi6zZjpgC0CRyr2UJAZqIR677uTUvLJ/6EY7ztwxY9lirJ5NJSw4UULmw9KGcCowOnIpey+kTQ7FAABo3xOOKlAIwDPFa1jICsRPPXkS/1873uEw7xtg/LtNiqIItLW40XUqmwo2E4E1gwcKpyKbtvBMEeBWAQWJYUIwWgJCBpxhQC8SYaMcMzYcIEjBk7tsCZPyZ4UzRIKRQvl1KciGIk2tEwojhnAvODpjKXTvYTHW1TAOrIqkMxUQA6BCzNFohAPImmsLP+mNjd73DxcOmGt5wJNI+y6lyaj4QlKQDZB0wjQAFoGioWlICA3URT2NqusPjLzMxEamqqBC9pwgwCdrk0Y1tWmVgzgTwj8C+k/cClrD6hux0KQN0ZlhgfBaBEMGkqJgJ2E0203Z2c+YsJuWMF7HLpmENRDBc2E8gzAikA3e6PTrdHAeg0whrZpwDUiEwfhGJHNIhZnHr16hUYHe/59Y50O1x65W20TUNcD0gB6FWfdKpdCkCnkNXQLgWghqQqHJIV0RDe8DF27NgCd/t26NAB4m+85ssbwq1w6Y2HJ7cabRY5ISEBffr0Qa9evQLbl/zGpQr9SVUfKABVZUZBvygAFSRFY5fMJhozGz64fsvbjmKWS2+9/Kd1riONzoTfuFSlT6noBwWgiqwo6hMFoKLEaOqWmUTDRO0P8s1wqVokha0HFL6KV8JB/GLhRy5V61uq+EMBqAoTPvCDAtAHJGnkYqxEI8Rf79698fbbbxcYNddsqdMZYnGpjqcne1LYzmBRMohLC/zKpap9zEu/KAC9RN9nbVMA+owwn7tbWKKJ9dqXGz7UIt/PoiHWTGDQ1gX6mUu1RoX33lAAes+BbzygAPQNVVo4Gi3RFHa1W1BnZVQn3O+iQcw2i80fb731VlSogyIE/c6l6mPFTf8oAN1E2+dtUQD6nECfuZ830Ygk/PTTT2Ps2HEAQlFf+wZxXZbq1OogGmKtNw1zoPsVgzpwqfp4ccs/CkC3kNagHQpADUj0UQiRH07iTl9xNEdhD1/7qkuuLqIh1uvgSBGo6xcRXbhUd7S45xkFoHtY+74lCkDfU+irAMSH06uvvorly5dj0qRJgX/15ivy8jirk2gInzk5btw45ObmRqVF1w0iOnHp5zElw3cKQBkoBsQGBWBAiFYgTJFkRYIdP358od5wp68CZJlwQUfRYEYI6rguUEcuTXRhLYtQAGpJqzNBUQA6gyutnozAmDFj0K9/fyBU8Dq/cGm+8vVPz9FZNJjdIJKeno7mzZujQYMGvr5FRGcu/TOi5HhKASgHx0BYoQAMBM2eBSkS6dChw5CVlRnTh27duuGxxx7zdSKNGaRGBXQXDWY3iIQp7du3r2+vk9OdS42GXcxQKABjQsQCYQQoANkXZCIgkubmzZtx2mmn4c0338TYceNizvqJV74jR46MuSFEpp+0FT8CQRANZjeIhNH06+vhIHAZf4/3hwUKQH/wpISXFIBK0KCFE+I170MPPVToIvrIQIXwE7d+9OrVi7N+PuwBQRENZtYF5qVPCMFRo0b55ktNULj04TCz7DIFoGXIgluBAjC43McbeeRsn5gpycjIMG0yLS0NgwYNovAzjZh6BYMmGuwIwa5duyI1NRUHDhxAjRo1lO3vQeNSvdEkzyMKQHlYam+JAlB7iqUHaCcRhp0Qs3533nknsrKykJycLN03GnQPgaCKhnD/Hzt2LEIxNjVFsiFmBVXdNBJULt0bLe61RAHoHta+b4kC0PcUuhJAeLZv3rx5ePLJJy0lPuFg+HVvjx49sGbNGrRp04YC0BXmnGsk6KJBjIlly5YhOzsbmZmZppc+hBlRadNI0Ll0bpS4b5kC0H3MfdsiBaBvqXPccZHgli5daiQ4MWNX2AG50ZzJu86PicZx2lxrgFz+A7UYK8OHD7e0DELUDm8aEQdMe/mamFy6Nmwcb4gC0HGI9WmAAlAfLuONJHJN31tvvQWrr7giX/M+/PDDaNmyJapXr37SuicmmnhZUqc+uczPhdgI1b9/f8sz5GFLQhA+8sgjaNGihatrBsmlOuMqXk8oAONFMED1KQADRHYBocqY5YsUfrF29TLR6NPfyGXBXIbXCIobb44fP26b8Mg1g1WrVnV0hpBc2qZJuYoUgMpRoq5DFIDqciPTs8jZPfGqSZzTF88sX9g3cXjzPffcgz/++CPfbF9B/jPRyGTVW1vksnD8xZjbsmULSpQoIWWsidacemVMLr0dSzJbpwCUiabmtigA9SM4r9gTGzdGjBhhaw1fNHTsHt7MRKNPfyOX1riMd9NIQa1FvjIWX+rsriMkl9a4VLk0BaDK7CjmGwWgYoRYdMcNsZd35sHsbB9nAC2S6bPiFA32CZP1mtisKIwlDsmlfS5Vq0kBqBojCvtDAagwOX+7VtDr223btsW1O9dM1GKWTxzYfM011+Cqq66ScogtE40Z5P1RhlzGz1P4NfHcuXOlz9KbFYfigOry5ctjxowZPJ4pfko9t0AB6DkF/nGAAtB7rsIbMYQn4cXe4hu7GyIvMvrI9UXxzPIVhihFg/f9TZYH5FIWkn/ZcWLNoBkPxbi/9957UapUKdx44404cuSIsUZYfP6Ip0GDBlK+/JnxhWXiR4ACMH4MA2OBAtBZqiNn78IfqJEiT8ZGjHgicGKWjwIwHkb8U5cC0FmuwmsGRStVqlQxNpLEu7PYrsfi0OrwWYWR4tDp3cl2/Q1yPQrAILNvMXYKQGuAxRJ04R22bs/emYlCiL3w+XxiZ6JTs3wUgGbY8H8ZCkD3OXT7lbHZCCPfHhT0RTfv71S+F9lszKqWowBUlRkF/QqqAIy2rk5QlPc1bPh34hv4uHHjpO6mdapLqCD2CoqNosEpxt23Sy7dxzyyxchXxuLLnFvrCGVEbVUwxtrEIsMnXWxQAOrCZJQ4xGJdIUQ+//xzY73G+eefjy5duqBnz57GnatWHj8KwFizcAV9A1V5Zs4KX3nL5l2359XMntkYKBrMIqV+OXKpHkd5RWH488BP4rAwVAs6HDssDgt6NR3E19UUgOqNS2kejRw50rgqSDznnnuusVh33bp1xqzUDTfcgPfee8+SCHRKABY0wxYpwvLOtBX2t82bN+OLL74wFiiL+PwyCyeL9IJE3vbt2w3zsnbnyvI1lh2KhlgI+efv5NI/XAlPCxKHXq9B9gLBWLOPheWiWJMLIh6vN81QAHrRq1xoc9myZWjYsKFxGvzUqVPRsWNHo9WvvvoK1157LX7++Wc89dRTEAt2zT5OCMDJkycjPT3dF69KzeLkZLnIjRhisbd4nSO+uftV5BWGFUWDkz3JXdvk0l28nWpNCMNFixYZb5TEl+yjR4+e+PzJzs5GVlZWXFfaOeW3ynbDm2bMCEbZG2koAFXuGXH4dv311xtnNQlxlZGRcZKladOm4fbbb8cZZ5yBXbt2ITk52VRLsgWg+DBJSUmh+Psb/chvm2FBFynyvNiIYapjOFSIosEhYD0wSy49AN2hJgvjsqCZw8jPMi93JzsEhydmxURAZmYmUlNT42qfAjAu+NSsLITamWeeaXw7W7FiBerVq3eSo4L0smXLQpT75JNP0KpVK1OByBaA8+fPR/PmzU217cdCYpD27t3bOBIhmqDTdfZOBl8UDTJQVMMGuVSDBxlexMtlpEgs6HORgtEcS0lJSUZeqVixorkKBZSiALQNnboVP/30UzRt2hTFihXD/v37UaRIkXzOtmjRAuLe16FDh2LgwIGmgpEtAP0yA1jYurqCXsOGf1e9evW4BqcpUjQuFG+i0Rga34VGLn1HWVSH3ebSimAML4kJynpFMYkicr3dhwLQLnIK15s0aZJxLdd5552HTZs2FeipeDUs1mvceeedePXVV01FI1sAikbFGsCuXbs6tm4k1iwcZ+ZMUe9JIbcTjSdBBqRRcqkP0X7hMu/h2GFxmHfddLQv8aq/ruYMYHxjKiEUCoXiM6FmbbG5o3///qhfvz6WL19eoJMPPfQQRo8ejbZt22L69OkFlhHHxoif8CMEYKXMh0rjAAAcsklEQVRKlbB3716ULFlSWvBioG7duhXFixfHwYMHT/p3x44dRjtiraCZvwk7a9asMXY5C9+rVavGWThpTLlrSCSaOXPmoGXLlqbXqbrrIVsziwC5NIuU+uWCxGVkbrKai2KVF7N3L730kq3JDyH+XnjhBeNIt3ieSC4PHTpkLA3LycmRmt/j8c/JutoKwGHDhmHQoEFo3LgxFi5cWCCG4u+i3DXXXGMcClrQM3jwYAwZMiTfn8QmEiHW+BABIkAEiAARIAL2EBCTKWIj5imnnILdu3cbRsqVK2dMXojfhf/N+7ezzz7bEGsyHzHB0qlTJwpAmaB6YctvM4AyMQrSt1OZuKloi1yqyIo9n8ilPdxUrEUuVWTFnk+cAbSHm9K1/LQGUDaQflmfIjtuHe2RS31YJZfkUh8E9ImEm0D04fJEJH7ZBewE9Ew0TqDqjU1y6Q3uTrRKLp1A1Rub5NIb3J1olQLQCVQ9tik2a4j1AYJclc8BdAImfjg5gao3NsmlN7g70Sq5dAJVb2ySS29wd6JVCkAnUFXAZps2bTBz5syYN4Hs3LkTRYsWNeWxE8fAmGrYQiF+OFkAS/Gi5FJxgiy4Ry4tgKV4UXKpOEEW3KMAtACWn4ouWbLE2AVc2F3Ao0aNMo6LMftQAJpFiuVkIMBEIwNFNWyQSzV4kOEFuZSBoho2KADV4MERL5544gkMGDDAsH3uuefitNNOw7p164y7d8VdwR988AHEeUJmHwpAs0ixnAwEmGhkoKiGDXKpBg8yvCCXMlBUwwYFoBo8OObFRx99hPHjx2P16tXGmsAaNWoYh0fed999lsSfcJAC0DGaaLgABJho9OkW5JJc6oOAPpFQAOrDpeORUAA6DjEbiECAokGf7kAuyaU+COgTCQWgPlw6HgkFoOMQswEKQC37AAWgPrSSSz25FFfBlSpVijeB6EOv3EgoAOXiSWuFI8BEo08PIZfkUh8E9ImEM4D6cOl4JOKS6NKlS+P7779X9rJo0aFnz56NVq1aITk52XFM2IBzCJBL57B12zK5dBtx59ojl85h67blSC7FDGClSpWwb98+YyZQ9ychFAqFdA9SZnw//PCD0UH4EAEiQASIABEgAvohICZ4KlasqF9geSKiALRIsTg+RhwcffrppxvnC6r4iNfUQqSqPEupIm4q+kQuVWTFnk/k0h5uKtYilyqyYs+nSC5FXt+/fz8qVKiAxMREewZ9VIsC0EdkmXXVD+sUzcYS9HLkUp8eQC7JpT4I6BNJkMclBaA+/fhEJEHu0LrRSS71YZRckkt9ENAnkiCPSwpAffoxBSC51BABfUIKcqLRh8W/IiGX+jAaZC4pAPXpxyciOXLkCEaMGIFHHnkEp5xyioYRBickcqkP1+SSXOqDgD6RBHlcUgDq048ZCREgAkSACBABIkAETCFAAWgKJhYiAkSACBABIkAEiIA+CFAA6sMlIyECRIAIEAEiQASIgCkEKABNwcRCRIAIEAEiQASIABHQBwEKQH24ZCREgAgQASJABIgAETCFAAWgKZjcLbRgwQIsW7YMK1euNH7EzSPiMXM9jbip5LnnnsOUKVPwzTffGLuAL7/8cvTp0wfXXXdd1EB2796N0aNHY+bMmdi2bRuEnXPOOQfXXHMN+vfvj+rVq0etK3wdOXIkli5digMHDqBq1aro2LEj+vXrh2LFirkLnmKtucnl9u3bDezNPMKvJk2a5CtKLqOj5yaXkV4cP34cL730EqZOnYqvv/7aGGPly5fHZZddhi5duqBdu3YFOk0u1eGyc+fOeOWVVwodmuIe2miflxs2bMDw4cORnZ2N3377zfhsvvHGGzFgwADjbvogP16Ny0jMBQ9PPPGE8athw4YZvER7VBqXFIAKjhwxoHNycvJ5FksAikQhksHHH39sXGNz8cUXG9faCEEnnqeeegp9+/bNZ3fTpk24+uqrIURgcnIyzj33XOPfLVu24PDhwyhevDhmzJhRoGB4/fXXcffdd0O0LT6UypUrh3Xr1kFcsF23bl2IwSnqB/Vxk8uffvoJ7du3jwr1rl278O233xpJRpTNe9k5uSy8l7rJZdgTkezbtGmD5cuXG1dPnnfeeTjttNOML4WCz5tvvhn/+9//8jlOLtXiMiwAa9SoYXxGFvQIcVe0aNF8f5o/fz6uv/56CIF45plnGtd8bty4EQcPHjQ+q8UXb/GFIKiPF+MyEmshzmvXro2jR4/GFICqjUsKQAVHTcOGDY0P+nr16hk/derUMbyMJQDFLJw4+098GHzyySe49NJLjXrTpk3DnXfeiVAohBUrVhjCLPJp0aIF5s2bB9Huf//73xOXYP/yyy+455578OGHHxozS1u3bj3p/mMx41SzZk2Ic5TE7KEQlyJJ7dixA9deey2EsOzZs6cxIxnUx20uC8P5jjvugPgA6tChA958882TipLL2D3UbS7FLLyYpV28eDFuuukmTJgw4aQL6n/44QdD0Isvb5EPuVSPy7AAFG9mxH+bfcQX+GrVqmHPnj24//77MWbMGOPLufhsFl/2lyxZYojDjz76yKxJ7cq5PS4jARQ5VYzRzz//HPXr1zdmaKPNAKo4LikAfTAchKiKJQDFt4+zzjrLeD0gBJ94BRv5pKenIysrCzfccAM++OCDE38S3yLFBdgi2axZswaXXHLJSfWEvTPOOMMQj+vXr8cFF1xw4u9C3L3wwgto1aqVITgjH/GtVAxM8WElhGuQv6FG4uIkl4V1ZfHaUPSPP/74A9OnT0fbtm1PKk4urX8QOM3lxIkT0b17dzRr1gxz5841fTk9uVSPS7sCULy1EUtwxOfu2rVrkZSUdCK47777zhCHx44dw+rVq42lPnxwYpKisAkTu/kyL76TJk1CWloaRo0aZeRH8Zo/mgBUcVxSAPpgxJhJNEKAtW7dGiVLlsTevXsN4RX5iJm/K6+80lgTKL5NCtEnnn379qFMmTLGfwuRUKJEiXyIlC1b1vjGGSkQhSAUr3zFaygxmyRmlfI+4kNLvKrIyMiAEKB8zH042eWyMHxfffVV41W9eIUkXh8WKVLkRHFyaa9nOjkuhUfh8SNmAMWXKTMPuTSDUv4yTnNpVwBeddVVxut/ITCEEMz7iHXds2bNMt78PPnkk/aC16yW01yG4RJ5VLwBE1+sv/zyS0MIRhOAqo5LCkAfdH4zHXrIkCEYPHgwxOvcOXPm5ItKfEsUok+s6Vu4cCEaN258osz/t3fmoVZV7x9eDWTSbFEpplaUlRWaTUSDWTZiRQSZRqRZViSaFdpgmQ1G4JSFZFmIlkEkFRUWNJghhDZo2qBF2UDDH1ERQUX141lf9v0dz91nuOfcfe85Zz8L5Kpn733Xet619/nsd73vu/r16xe9dK+99loYMWLENueyjMskJ84CsZcEKbPMO2DAgHgsS1GIweI2fvz4sHjx4riMzE9bdQKwHluWYoyXlnkxceLE8NBDD21zmLasbWZmeV9u2bIlhoH06tUrvtARhvHss8/GexARz31OWEfxVo/asvFsSY8SAchyLS9f7D9LLCDC/oorrmgXj8s5PLOJnyaeutRLAIkh06dPD8OHD49hPLaue8YmITVJQl1i4zQPYKPelwrAJrhjqvmiSSYjnjY8bmmNLxS+WBJRlhyTeIf69u0b5s2bF4YNGxYfUrx5Tp48OcbycU3ecJLGkhRikS8ggpOTPhb+Xt5Ib7/99ig2EZ226h5O9dgyjTGiAduyzE9WeXEMqLasbWZmeV8Si0sYx0knnRTjb4ndLG68mOH96d+/v/dlbSZsOytLWxYKwLRusgJD2A4rOIWNJDySRmh47Xv37t3udM4bM2ZMTAxhSdjWNc9YxDYvYTyrly5dGrGXE4CN+oxVADbBHVPNw4k3SzJ1p06dGkuypDWCVBEABBJTFqawrVixIsYu4MoubEcffXRcfih+OOGNYNmX2D4yStPawoULw/XXXx+zkYlfsVX3cKrXlsWcsTcleQYOHBiX5IubtqxtZmZ5X86dOzdMmTIlhnLgAcKbTmkJlpvwBvGiRwLI0KFD4z1N1j9NWzaeLekRz1Zeqrm3EfTMHcqB4L0jPIcXaeyaJPxxztq1a2MSIK1UiRjKdpElTmY4CSO27J+xrKIRK88SMM6RJL69nABs1PtSAdgEd0w1XzTU6yMDiQfKzJkzU0dFtuDq1avbBakSnzB79uy4NMibJg8oyhHwBsoyBNlmBLuyHJU03npYuij35kntsquuuioGKnMtW3UPp3psmcaYEgXr16+PdcTwyBY3bVnbzMzyvkyW9uhZmgcde1IHkHuX5eGRI0fGQWjLxrNluR6RjIB9EfHFy7g8q5MMb8psJSK/8Ho883lekBzCs9qW/TM2qflHdQsSO5JWTgA26n2pAOzEO4YgXR7GHW2UBiDYt1Sr5oumHq/RhAkTwqJFi+JyE0tNSWwfdQERcJQYwBNIqnuShdaobzQdZV/q+Ga1ZfF48LxiO+YQ9SALlwuTY7Vl+izozvsy8drSM+r8Ue+vuCUvCnjZH3nkkfixtmw8W1Z6JhF7TdksBB7xnklSXqt7AJvxGZvU/GNVC/sUinI9gJVmeot/nsRudXSYBOcTT1CPAKw1bizxJLA8QZ0/PHqFjWBlPHg8mArLyzRqTENH2Zc6vhltmTYWHrKUkqBWFcHKaU1bps+C7rwvidNl2ZdGYfVBgwa16+QNN9wQhR9LgBR/p2nLxrNlpWcSS7dUb6CtW7cuLuvTWj0GsBmfsZRkIp6d5ftkeT6xrzGAlWa6n9dEoBoPYDWZo8SJULS5MAuYOn64sfmC4YsmrSXeRWKSWCqmNWpWU02Au/CkLG1ZPAySPvD4kaXNEj7e3LSmLWubAFnakniwJFOfxK20rRiJ450zZ070HpEM4n1Zmx05K0tbVuoVMWU9e/aMh5F4R6w2zSzgSuTSP8/SllTDoFwapdGKG7t3YUu+ZymnhjMFL2Ej35cuAdc2x7r0rGomNF8A1ISqVAeQ2D68eUkdQBI8pk2bVlYA4mEg2LhwqYnYoz59+sQEEOsAVj8dsrRlcS+STLVSW78lx2vL6u1XeGSWtqRgN18yfKFQF5IyPsWNvWCff/75bcosacvGs2WlHlHEOUn+KC6pRe1WkkSsA1iJ4v9/nuV9WWrbubTe8fLN7h+0Rr0vFYDVz6tuO7KaCY1njzIBlXYCIVi8ME6R7F/ii8g2rLQETImYSZMmtXFAEJLpW2knEMoTkL1oq87TUKsti/kmSxJpW78VH6stOz47s7wv6Q33Jffn6NGj25WB4cWLfWDJDl22bFksBZI0bdl4tizXI+y7fPnyWG+VGLPCxhabVHaotBNI4dJxx0ffWmdkfV+WolVuCZhzGvG+VAA2wdyvZkIzjKTuHmILj2DaXsDELiRLDJyDO5usX7yC5ZJA8CIRk1JY8JmkAh5aZLKV2guYraxYZrb9j0CWtixkjDCgPAHxRWlbvxXbQ1t2fIZmbUvic4kHw3tARj07udDYvWfUqFHRM4gIRDTg2U+atmwsWxJLSrYupXt41iaNJUOqNixYsCD+V9oWnoUx2KX2AmblhxJgtq59xhbzriQAG/G+VAA24F3Dbg28ESaNbdhoZIclWUdUkC/c05fPiRnBw4f44zgylRB41AujzZo1Ky73FjeWd9lsnuUmsnz5UsEjiOBD3JEgQgxZ8gVUeD5FpMeOHRuLDCMOqW5PLCG1y/jyWrVqVer2cg2IPZMudbUtk0Ewf/AspG39Vmqg2rL8FOgOW7IfMJ4DRCA79nB/secoe3izRIy4oMxPcdOWjWNLlulZrqfxjCR0hucjduT5yovEnXfeGXdySmuEcrB3N89n7mfmAaKfOUDFBl7q87zC0h33ZZqdKglAzmm0+1IBmMnXfn0XTSZSuauUyuqkXhT1iShhQfA4Qg4hRgIHyRyl2ubNm2OCB2+qbAvHFw5LytShYjeQchuNr1mzJopLfhK7xEOJXQxYuki2jquPSPOe3R22hFYSt5m29Vs5mtqyNJ3usiX14Mjk5osejxACgnuZ/V/TtmBMRqAtG8OWPE/ZSQn78VJNAeHk+UqiDwK/cFUmrdebNm2KdTx5PuMBxu6ISmrSJWVjmvcpWV/Pu+u+LO51NQKQcxrpvlQA1jf3PFsCEpCABCQgAQk0HQEFYNOZzA5LQAISkIAEJCCB+ggoAOvj59kSkIAEJCABCUig6QgoAJvOZHZYAhKQgAQkIAEJ1EdAAVgfP8+WgAQkIAEJSEACTUdAAdh0JrPDEpCABCQgAQlIoD4CCsD6+Hm2BCQgAQlIQAISaDoCCsCmM5kdloAEJCABCUhAAvURUADWx8+zJSABCUhAAhKQQNMRUAA2ncnssAQkIAEJSEACEqiPgAKwPn6eLQEJSEACEpCABJqOgAKw6UxmhyUgAQlIQAISkEB9BBSA9fHzbAlIoEkIfPXVV+HAAw/cprd33XVXmDFjRpOMoHI3Bw8eHNavX9924GmnnRbeeuutyid6hAQkkDsCCsDcmdwBS6AxCBx11FFh48aNYeeddw4//vhj2H333TPtWCIAe/ToEY499tj4u8aNGxf/JG3AgAFh69at8Z9TpkwJs2fPLtmn+fPnh8mTJ7d9/t9//21zbHKtJ598Mlx55ZUlrzNs2LCwatWq0BlidOzYsWHLli3h119/jWwVgJlOKS8ugaYmoABsavPZeQk0J4EPP/wwDBkypK3zixcv3kaIZTGqRAD2798/8Pe0VigA999///Dtt9+GHXbYIfXY4447Lqxbt66hBGDSGbx+p59+ugIwi4nkNSXQIgQUgC1iSIchgWYicNNNN4U5c+aEww47LHz66acBL9ibb76Z6RA6IgAHDhwYPvvss7By5cpw9tlnt+sXn9H35DgOaAQPoAIw0ynkxSXQUgQUgC1lTgcjgcYn8M8//4QDDjggfP/992HNmjVhxIgR4Y8//oheuX79+mU2gI4IwHvuuSdMnz49XH755WHp0qXt+nTHHXeE++67L9x7772BvysAMzObF5aABDIioADMCKyXlYAE0gm8+uqr4ZxzzglHHHFE2LRpUxg9enRYvnx5uP/++8Ott96aGbaOCMC33347jBkzJvz8888xPnGXXXZp6xeevoMOOij+/3vvvRfHkYUATGIDywEpFePnEnBm08gLS6BlCCgAW8aUDkQCzUEAYfX0008HvGx4z1566aUwcuTIcPjhh4ePP/44s0F0RACuXr06vPzyy+GBBx6IHkA8gUnjs1NPPTVcdtll4cEHH4zezCwE4MSJE8MHH3yQyuOLL74IP/zwQ8kYPwVgZtPIC0ugZQgoAFvGlA5EAo1P4Pfffw/77bdfXPL9/PPPw8EHHxz+/vvvQMIF3jaSKoYOHZrJQDoqAHv16hUGDRoUzjrrrIDXMmnXXHNNeOyxx8Irr7wSyGTOSgCWgkD84QknnBAzffGcjho1qt2hCsBMppAXlUBLEVAAtpQ5HYwEGpvAkiVLYkmU448/Prz77rttnZ0wYUJYtGhRmDRpUpg3b14mg+ioADz55JPDMcccEzZs2BC++eab0Lt37/Dnn39GsbrTTjuF7777LnrhKgnAagdTTRkYRB/sNm/eHKZNmxZmzZqVenkFYLXUPU4C+SWgAMyv7R25BLqcwJlnnhlef/31MHfu3G1q6FEHj5i3fffdNwqrHXfcsdP7VosApJ9JPUB+Pvfcc+GSSy5pE6qUiakkAA855JA4rlLto48+Cr/99lvFOoD//vtvXCrH83j++eeHF198MWy//fYKwE6fKV5QAvkgoADMh50dpQS6nQDCLsnyxaPWp0+ftj6RWMFnCCpi784777xO728tAhAPX9++feNSL/F4F110UXjhhRfC2rVrYzHpagRgZxWCnjp1aow5pPwM3tNyhbP1AHb69PGCEmg5AgrAljOpA5JAYxJAvCBihg8fHr2Axe3mm2+OO28Q00ZsW2e3WgQgfSBjmRhAvJSUrCED+JNPPond6yoB+Mwzz8Skkz333DOKv0MPPbQsHgVgZ88eryeB1iOgAGw9mzoiCTQkgWTrNxIoxo8f366P77//fkwA6dmzZ4ytK/RwkSxCQWZ25VixYkX45Zdfwoknnhgef/zxdvv7lhp8rQLwqaeeilnAeCi//vrrWP/vtttu6zIBCBfiEYk/JGP63HPPrWhfBWBFRB4ggdwTUADmfgoIQALZE2D5lIQKkicQd3vttVfqL2V5kyzXJ554IrCvLY34ODxfCEOWhq+++uroecNjeOSRRwZq9lXTahWAZCyTuUwG83bbbRe+/PLLwHZyXeEB/Omnn+JSM0vmeFBvueWWaoYaFIBVYfIgCeSagAIw1+Z38BLoGgIkUJBQccEFF8QYulLt7rvvDjNmzIj72L7xxhvxMAQeBY8vvfTSwFJo0siAxROHQNxtt90qDqRWAciF6dM777wTSOhYuHBh2+/KcgmY8jhnnHFGoO4gtROXLVtWcYzJAQrAqlF5oARyS0ABmFvTO3AJdA0Btn4jkQLPX6m6dUlPKG/C/rp42rZu3RozbOfPnx8zcdkzGAGWtCQjF4/cgAEDKg6mHgFY6uJZCsBrr702PProo9EDiAjGA1ptUwBWS8rjJJBfAgrA/NrekUugSwisXLmyLW5tn332iXF85RrLnmQF4+Gj1h1LwewZzNJwYXv44YfDjTfeGD2A1YijZhOAiGAay+J77713KrIhQ4aEBQsWtPtMAdglU9tfIoGmJqAAbGrz2XkJND6BZOu3jvY02St48ODBMQavcDcOrsUyMUIRsVNNa1YBWG5s7gVcjeU9RgISSCOgAHReSEACDUvgr7/+CrvuumssvcIScNKSwtFkxVIUuZpWjQCs5jrNcIwewGawkn2UQPcSUAB2L39/uwQkUIZAkj1MLOCFF14YLr744sDOGWybRr3AwoSMSiATAdijR48YV0cbN25c/NMqjeXyLVu2xH2CN27cGJNnqvWQtgoDxyEBCVRHQAFYHSePkoAEuoEA5WDYJxjRx0+KILMX73XXXRdLopTaCi2tq4kALPysmv13u2HYNf9KlsvXr1/fdr4CsGaUniiBliegAGx5EztACTQvgYkTJ8YdODZs2NC8g7DnEpCABBqQgAKwAY1ilyQggf8ROOWUU2L835IlS0QiAQlIQAKdSEAB2IkwvZQEJNB5BMjw3WOPPcLMmTPD5MmTO+/CXkkCEpCABIIC0EkgAQlIQAISkIAEckZAAZgzgztcCUhAAhKQgAQkoAB0DkhAAhKQgAQkIIGcEVAA5szgDlcCEpCABCQgAQkoAJ0DEpCABCQgAQlIIGcEFIA5M7jDlYAEJCABCUhAAgpA54AEJCABCUhAAhLIGQEFYM4M7nAlIAEJSEACEpCAAtA5IAEJSEACEpCABHJGQAGYM4M7XAlIQAISkIAEJKAAdA5IQAISkIAEJCCBnBFQAObM4A5XAhKQgAQkIAEJKACdAxKQgAQkIAEJSCBnBBSAOTO4w5WABCQgAQlIQAIKQOeABCQgAQlIQAISyBkBBWDODO5wJSABCUhAAhKQgALQOSABCUhAAhKQgARyRkABmDODO1wJSEACEpCABCSgAHQOSEACEpCABCQggZwRUADmzOAOVwISkIAEJCABCSgAnQMSkIAEJCABCUggZwQUgDkzuMOVgAQkIAEJSEACCkDngAQkIAEJSEACEsgZAQVgzgzucCUgAQlIQAISkIAC0DkgAQlIQAISkIAEckZAAZgzgztcCUhAAhKQgAQkoAB0DkhAAhKQgAQkIIGcEfg/oibM4scNOtYAAAAASUVORK5CYII=\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams.update({'font.size': 16})\n",
    "fig4 = plt.figure()\n",
    "plt.plot(Delta_p_array/MHz,kchi.imag,'-')\n",
    "plt.plot(Delta_p_array/MHz,kchi.imag,'k.')\n",
    "plt.xlabel(r\"$\\Delta_p$ [MHz]\")\n",
    "plt.ylabel('OD')\n",
    "plt.grid()\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "Omega_a = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# plt.savefig('1.png', format = 'png', dpi = 1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Peak detection (similar to findpeaks in MATLAB) using a function by Marcos Duarte, https://github.com/demotu/BMC:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "center is -1062\n",
      "amplitude is 5.22\n",
      "HWHM is 15.1\n"
     ]
    }
   ],
   "source": [
    "from detect_peaks import detect_peaks\n",
    "spectra = np.ravel(kchi.imag)\n",
    "ind = detect_peaks(spectra, show=True)\n",
    "center = Delta_p_array[ind]/MHz\n",
    "amplitude = float(spectra[ind])\n",
    "HW_Delta_p = Delta_p_array[spectra>0.5*amplitude]\n",
    "HWHM = (HW_Delta_p[-1] - HW_Delta_p[0])/2\n",
    "print 'center is %.f' %center\n",
    "print 'amplitude is %.3g' %amplitude\n",
    "print 'HWHM is %.3g' %HWHM"
   ]
  }
 ],
 "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": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}