DielectricDFT2.ipynb

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    "# Calculating Dielectric Function II\n",
    "\n",
    "\n",
    "part of \n",
    "\n",
    "## [Analysis of Transmission Electron Microscope Data](Analysis_of_Transmission_Electron_Microscope_Data.ipynb)\n",
    "\n",
    "Chapter 4: [Spectroscopy](Diffraction.ipynb)\n",
    "\n",
    "by Gerd Duscher\n"
   ]
  },
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   "source": [
    "# Additional Packages\n",
    "Now it becomes apparent why I am using ainux system.\n",
    "Both the Atomic simulation environment (ASE) and the GPAW ( density functional code using the projector-augmented wave (PAW) method ) work only in that environment.\n",
    "\n",
    "We still import all the usual packages we installed earlier."
   ]
  },
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     "name": "stdout",
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     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "# import matplotlib and numpy\n",
    "#                       use \"inline\" instead of \"notebook\" for non-interactive plots\n",
    "%pylab --no-import-all notebook\n",
    "\n",
    "# Creates: mac_eps.csv\n",
    "# Refer to G. Kresse, Phys. Rev. B 73, 045112 (2006)\n",
    "# for comparison of macroscopic and microscopic dielectric constant\n",
    "# and absorption peaks.\n",
    "from ase.build import bulk\n",
    "from ase.parallel import paropen\n",
    "from gpaw import GPAW, FermiDirac\n",
    "from gpaw.response.df import DielectricFunction\n",
    "import time\n",
    "\n",
    "\n",
    "import sys\n",
    "sys.path.append('./TEMlib')\n",
    "import EELS_tools as eelst         # EELS Library\n",
    "import file_tools as ft"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "## Ground state calculation"
   ]
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     "text": [
      "\n",
      "  ___ ___ ___ _ _ _  \n",
      " |   |   |_  | | | | \n",
      " | | | | | . | | | | \n",
      " |__ |  _|___|_____|  1.5.1\n",
      " |___|_|             \n",
      "\n",
      "User:   nyd@utc\n",
      "Date:   Thu Apr 25 17:46:56 2019\n",
      "Arch:   x86_64\n",
      "Pid:    656\n",
      "Python: 3.6.6\n",
      "gpaw:   /home/nyd/.local/lib/python3.6/site-packages/gpaw\n",
      "_gpaw:  /home/nyd/.local/lib/python3.6/site-packages/\n",
      "        _gpaw.cpython-36m-x86_64-linux-gnu.so\n",
      "ase:    /home/nyd/.local/lib/python3.6/site-packages/ase (version 3.17.0)\n",
      "numpy:  /home/nyd/linux/anaconda3/lib/python3.6/site-packages/numpy (version 1.15.4)\n",
      "scipy:  /home/nyd/.local/lib/python3.6/site-packages/scipy (version 1.2.1)\n",
      "units:  Angstrom and eV\n",
      "cores:  1\n",
      "\n",
      "Input parameters:\n",
      "  kpts: [13 13 13]\n",
      "  mode: pw\n",
      "  nbands: 60\n",
      "\n",
      "System changes: positions, numbers, cell, pbc, initial_charges, initial_magmoms \n",
      "\n",
      "Initialize ...\n",
      "\n",
      "Si-setup:\n",
      "  name: Silicon\n",
      "  id: b152d83ba7c91a8f3191da15c74e1ae7\n",
      "  Z: 14\n",
      "  valence: 4\n",
      "  core: 10\n",
      "  charge: 0.0\n",
      "  file: /usr/share/gpaw-setups/Si.LDA.gz\n",
      "  cutoffs: 1.06(comp), 1.86(filt), 2.06(core), lmax=2\n",
      "  valence states:\n",
      "                energy  radius\n",
      "    3s(2.00)   -10.878   1.058\n",
      "    3p(2.00)    -4.162   1.058\n",
      "    *s          16.334   1.058\n",
      "    *p          23.049   1.058\n",
      "    *d           0.000   1.058\n",
      "\n",
      "  Using partial waves for Si as LCAO basis\n",
      "\n",
      "Reference energy: -15717.426366\n",
      "\n",
      "Spin-paired calculation\n",
      "\n",
      "Occupation numbers:\n",
      "  Fermi-Dirac: width=0.1000 eV\n",
      "\n",
      "Convergence criteria:\n",
      "  Maximum total energy change: 0.0005 eV / electron\n",
      "  Maximum integral of absolute density change: 0.0001 electrons\n",
      "  Maximum integral of absolute eigenstate change: 4e-08 eV^2\n",
      "  Maximum number of iterations: 333\n",
      "\n",
      "Symmetries present (total): 24\n",
      "\n",
      "  ( 1  0  0)  ( 1  0  0)  ( 1  0 -1)  ( 1  0 -1)  ( 1 -1  0)  ( 1 -1  0)\n",
      "  ( 0  1  0)  ( 0  0  1)  ( 0  1 -1)  ( 0  0 -1)  ( 0 -1  1)  ( 0 -1  0)\n",
      "  ( 0  0  1)  ( 0  1  0)  ( 0  0 -1)  ( 0  1 -1)  ( 0 -1  0)  ( 0 -1  1)\n",
      "\n",
      "  ( 0  1  0)  ( 0  1  0)  ( 0  1 -1)  ( 0  1 -1)  ( 0  0  1)  ( 0  0  1)\n",
      "  ( 1  0  0)  ( 0  0  1)  ( 1  0 -1)  ( 0  0 -1)  ( 1  0  0)  ( 0  1  0)\n",
      "  ( 0  0  1)  ( 1  0  0)  ( 0  0 -1)  ( 1  0 -1)  ( 0  1  0)  ( 1  0  0)\n",
      "\n",
      "  ( 0  0 -1)  ( 0  0 -1)  ( 0 -1  1)  ( 0 -1  1)  ( 0 -1  0)  ( 0 -1  0)\n",
      "  ( 1  0 -1)  ( 0  1 -1)  ( 1 -1  0)  ( 0 -1  0)  ( 1 -1  0)  ( 0 -1  1)\n",
      "  ( 0  1 -1)  ( 1  0 -1)  ( 0 -1  0)  ( 1 -1  0)  ( 0 -1  1)  ( 1 -1  0)\n",
      "\n",
      "  (-1  1  0)  (-1  1  0)  (-1  0  1)  (-1  0  1)  (-1  0  0)  (-1  0  0)\n",
      "  (-1  0  1)  (-1  0  0)  (-1  1  0)  (-1  0  0)  (-1  1  0)  (-1  0  1)\n",
      "  (-1  0  0)  (-1  0  1)  (-1  0  0)  (-1  1  0)  (-1  0  1)  (-1  1  0)\n",
      "\n",
      "2197 k-points: 13 x 13 x 13 Monkhorst-Pack grid\n",
      "84 k-points in the irreducible part of the Brillouin zone\n",
      "       k-points in crystal coordinates                weights\n",
      "   0:     0.00000000    0.00000000    0.00000000          1/2197\n",
      "   1:     0.07692308    0.07692308    0.00000000          6/2197\n",
      "   2:     0.07692308    0.07692308    0.07692308          8/2197\n",
      "   3:     0.15384615    0.07692308    0.07692308         12/2197\n",
      "   4:     0.15384615    0.15384615    0.00000000          6/2197\n",
      "   5:     0.15384615    0.15384615    0.07692308         24/2197\n",
      "   6:     0.15384615    0.15384615    0.15384615          8/2197\n",
      "   7:     0.23076923    0.15384615    0.07692308         24/2197\n",
      "   8:     0.23076923    0.15384615    0.15384615         24/2197\n",
      "   9:     0.23076923    0.23076923    0.00000000          6/2197\n",
      "          ...\n",
      "  83:     0.46153846    0.46153846    0.46153846          8/2197\n",
      "\n",
      "Wave functions: Plane wave expansion\n",
      "  Cutoff energy: 340.000 eV\n",
      "  Number of coefficients (min, max): 537, 584\n",
      "  Pulay-stress correction: 0.000000 eV/Ang^3 (de/decut=0.000000)\n",
      "  Using FFTW library\n",
      "  ScaLapack parameters: grid=1x1, blocksize=None\n",
      "  Wavefunction extrapolation:\n",
      "    Improved wavefunction reuse through dual PAW basis \n",
      "\n",
      "Eigensolver\n",
      "   Davidson(niter=2, smin=None, normalize=True) \n",
      "\n",
      "Densities:\n",
      "  Coarse grid: 14*14*14 grid\n",
      "  Fine grid: 28*28*28 grid\n",
      "  Total Charge: 0.000000 \n",
      "\n",
      "Density mixing:\n",
      "  Method: separate\n",
      "  Backend: pulay\n",
      "  Linear mixing parameter: 0.05\n",
      "  Mixing with 5 old densities\n",
      "  Damping of long wave oscillations: 50 \n",
      "\n",
      "Hamiltonian:\n",
      "  XC and Coulomb potentials evaluated on a 28*28*28 grid\n",
      "  Using the LDA Exchange-Correlation functional\n",
      " \n",
      "\n",
      "Memory estimate:\n",
      "  Process memory now: 1329.68 MiB\n",
      "  Calculator: 55.49 MiB\n",
      "    Density: 1.13 MiB\n",
      "      Arrays: 0.54 MiB\n",
      "      Localized functions: 0.37 MiB\n",
      "      Mixer: 0.21 MiB\n",
      "    Hamiltonian: 0.36 MiB\n",
      "      Arrays: 0.36 MiB\n",
      "      XC: 0.00 MiB\n",
      "      Poisson: 0.00 MiB\n",
      "      vbar: 0.01 MiB\n",
      "    Wavefunctions: 54.00 MiB\n",
      "      Arrays psit_nG: 44.91 MiB\n",
      "      Eigensolver: 1.13 MiB\n",
      "      Projections: 2.00 MiB\n",
      "      Projectors: 5.11 MiB\n",
      "      PW-descriptor: 0.85 MiB\n",
      "\n",
      "Total number of cores used: 1\n",
      "\n",
      "Number of atoms: 2\n",
      "Number of atomic orbitals: 8\n",
      "Number of bands in calculation: 60\n",
      "Bands to converge: occupied states only\n",
      "Number of valence electrons: 8\n",
      "\n",
      "... initialized\n",
      "\n",
      "Initializing position-dependent things.\n",
      "\n",
      "Density initialized from atomic densities\n",
      "Creating initial wave functions:\n",
      "  8 bands from LCAO basis set\n",
      "  52 bands from random numbers\n",
      "\n",
      "                    \n",
      "                    \n",
      "                    \n",
      "                    \n",
      "           Si       \n",
      "                    \n",
      "       Si           \n",
      "                    \n",
      "                    \n",
      "                    \n",
      "                    \n",
      "\n",
      "Positions:\n",
      "   0 Si     0.000000    0.000000    0.000000    ( 0.0000,  0.0000,  0.0000)\n",
      "   1 Si     1.357750    1.357750    1.357750    ( 0.0000,  0.0000,  0.0000)\n",
      "\n",
      "Unit cell:\n",
      "           periodic     x           y           z      points  spacing\n",
      "  1. axis:    yes    0.000000    2.715500    2.715500    14     0.2240\n",
      "  2. axis:    yes    2.715500    0.000000    2.715500    14     0.2240\n",
      "  3. axis:    yes    2.715500    2.715500    0.000000    14     0.2240\n",
      "\n",
      "  Lengths:   3.840297   3.840297   3.840297\n",
      "  Angles:   60.000000  60.000000  60.000000\n",
      "\n",
      "Effective grid spacing dv^(1/3) = 0.2444\n",
      "\n",
      "                     log10-error:    total        iterations:\n",
      "           time      wfs    density  energy       fermi  poisson\n",
      "iter:   1  17:47:10  +3.91   +inf   -12.068048    5             \n",
      "iter:   2  17:47:18  -3.78  -0.78   -12.043740    2             \n",
      "iter:   3  17:47:26  -3.22  -0.80   -11.891125    5             \n",
      "iter:   4  17:47:33  -5.92  -1.55   -11.887055    2             \n",
      "iter:   5  17:47:41  -5.44  -1.69   -11.884376    3             \n",
      "iter:   6  17:47:48  -8.11  -3.28   -11.884376    1             \n",
      "iter:   7  17:47:55  -7.16  -3.27   -11.884378    2             \n",
      "iter:   8  17:48:03 -10.01  -5.05   -11.884378    1             \n",
      "\n",
      "Converged after 8 iterations.\n",
      "\n",
      "Dipole moment: (-2.925127, -2.925127, -2.925127) |e|*Ang\n",
      "\n",
      "Energy contributions relative to reference atoms: (reference = -15717.426366)\n",
      "\n",
      "Kinetic:        +15.509235\n",
      "Potential:      -13.676385\n",
      "External:        +0.000000\n",
      "XC:             -13.692773\n",
      "Entropy (-ST):   -0.001171\n",
      "Local:           -0.023869\n",
      "--------------------------\n",
      "Free energy:    -11.884964\n",
      "Extrapolated:   -11.884378\n",
      "\n",
      "Fermi level: 5.36364\n",
      "\n",
      "Showing only first 2 kpts\n",
      " Kpt  Band  Eigenvalues  Occupancy\n",
      "  0     2      5.13249    0.00083\n",
      "  0     3      5.13249    0.00083\n",
      "  0     4      7.66284    0.00000\n",
      "  0     5      7.66284    0.00000\n",
      "\n",
      "  1     2      4.75442    0.00545\n",
      "  1     3      4.75442    0.00545\n",
      "  1     4      7.41377    0.00000\n",
      "  1     5      8.16646    0.00000\n",
      "\n",
      "\n",
      "Writing to Si1.gpw (mode='all')\n",
      "\n",
      "67.89707899093628\n"
     ]
    }
   ],
   "source": [
    "start_time = time.time()\n",
    "# Set up of Silicon Crystal\n",
    "a = 5.431\n",
    "atoms = bulk('Si', 'diamond', a=a)\n",
    "\n",
    "# GPAW calculator initialization:\n",
    "k = 13\n",
    "calc = GPAW(mode='pw', kpts=(k, k, k),nbands=60)\n",
    "\n",
    "atoms.set_calculator(calc)\n",
    "atoms.get_potential_energy()  # ground state calculation is performed\n",
    "calc.write('Si1.gpw', 'all')  # use 'all' option to write wavefunctions\n",
    "\n",
    "# Write wavefunctions\n",
    "end_time = time.time()\n",
    "print(end_time-start_time)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculating the Dielectric Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "17.226785898208618 s\n"
     ]
    }
   ],
   "source": [
    "start_time = time.time()\n",
    "\n",
    "ecut = 50\n",
    "eshift = 0.8\n",
    "eta = 0.2\n",
    "\n",
    "df = DielectricFunction('Si1.gpw',\n",
    "                        ecut=ecut,\n",
    "                        frequencies=np.linspace(0., 25., 1001),\n",
    "                        nbands=8,\n",
    "                        intraband=False,\n",
    "                        hilbert=False,\n",
    "                        eta=eta,\n",
    "                        eshift=eshift,\n",
    "                        txt='rpa_Si.txt')\n",
    "\n",
    "df_NLFC_w, df_LFC_w = df.get_dielectric_function(filename='eps_rpa_Si.csv')\n",
    "energie = df.get_frequencies()\n",
    "end_time = time.time()\n",
    "print(end_time-start_time, 's')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "sim = np.loadtxt('eps_rpa_Si.csv', delimiter=',')\n",
    "\n",
    "energie = sim[:,0]\n",
    "df_NLFC_w = sim[:,1]+1j*sim[:,2] \n",
    "df_LFC_w = sim[:,3]+1j*sim[:,4] \n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotting of Dielectric Function\n",
    "We have actually calculated the dielectric function in the random phase approximation (RPA) with and without local field corrections."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
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       "\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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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=\"1000\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(energie[0:],df_LFC_w[0:].imag, label=r'$Im(\\varepsilon)$' )\n",
    "plt.plot(energie[0:],df_LFC_w[0:].real, label=r'$Re(\\varepsilon)$')\n",
    "plt.plot(energie, (-1/df_LFC_w).imag*500, label='Loss Function*500')\n",
    "plt.plot(energie, (-1/df_LFC_w).imag*10, label='Loss Function*10')\n",
    "plt.plot([0,70],[0,0])\n",
    "plt.legend()\n",
    "plt.xlim(0,20);\n",
    "plt.ylim(-15,50);\n",
    "plt.xlabel('energy-loss [eV]');\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison to previous Silicon EELS spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found  EELS_spectrum  in dm3 file\n"
     ]
    },
    {
     "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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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": [
    "\n",
    "filename = './EELSdata/Si-011-CBED-20mu650mthin.dm3'\n",
    "spectrum_tags = ft.open_file(filename)#os.path.join(current_directory,filename))\n",
    "\n",
    "spectrum_tags['axis']['0']['pixels'] = len(spectrum_tags['spec'])\n",
    "\n",
    "scale_p = spectrum_tags['axis']['0']\n",
    "spectrum_tags['energy_scale'] = np.arange(scale_p['pixels'])*scale_p['scale']+scale_p['Origin']\n",
    "\n",
    "energy_scale = spectrum_tags['energy_scale'] \n",
    "spectrum = spectrum_tags['spec']\n",
    "\n",
    "#######################################\n",
    "## Important Experimental Parameters ##\n",
    "#######################################\n",
    "\n",
    "spectrum_tags['eels_parameter'] = {}\n",
    "spectrum_tags['eels_parameter']['integration_time_s'] = spectrum_tags['integration_time']\n",
    "spectrum_tags['eels_parameter']['number_of_frames'] = spectrum_tags['number_of_frames']\n",
    "spectrum_tags['eels_parameter']['acceleration_voltage_V'] = spectrum_tags['acceleration_voltage']\n",
    "spectrum_tags['eels_parameter']['collectionAngle_mrad'] =50.\n",
    "spectrum_tags['eels_parameter']['convergenceAngle_mrad'] =30.\n",
    "spectrum_tags['eels_parameter']['integration_time'] = spectrum_tags['integration_time']\n",
    "\n",
    "eels_p = spectrum_tags['eels_parameter']\n",
    "\n",
    "sumSpec = sum(spectrum_tags['spec'])\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(energy_scale,spectrum/sumSpec*1e2)\n",
    "plt.plot(energie, (-1/df_LFC_w).imag/160, label='Loss Function*10')\n",
    "plt.title ('Spectrum '+spectrum_tags['filename']);\n",
    "plt.xlabel('energy loss [eV]')\n",
    "plt.ylabel('% scattering Intensity');\n",
    "plt.xlim(-10,50)\n",
    "plt.ylim(0,.1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison to optical data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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": [
    "opt_data = np.loadtxt('./EELSdata/KroegerEBplots_Si.dat')\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(opt_data[:,0],opt_data[:,1], label=r'$Re(\\varepsilon)_{opt.}$')\n",
    "plt.plot(opt_data[:,0],opt_data[:,2],  label=r'$Im(\\epsilon)_{opt.}$' )\n",
    "plt.plot(energie[0:],df_LFC_w[0:].imag, label=r'$Im(\\epsilon)_{DFT}$' )\n",
    "plt.plot(energie[0:],df_LFC_w[0:].real, label=r'$Re(\\varepsilon)_{DFT}$')\n",
    "plt.xlim(0,10)\n",
    "plt.legend();\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A More Involved Calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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": [
    "data = np.loadtxt('epsSi.csv', delimiter=',')\n",
    "\n",
    "epsSi_NLF = data[:,1]+1j*data[:,2]\n",
    "epsSi_LF = data[:,3]+1j*data[:,4]\n",
    "epsSi_energy = data[:,0]\n",
    "plt.figure()\n",
    "plt.plot(opt_data[:,0],opt_data[:,1], label=r'$Re(\\varepsilon)_{opt.}$')\n",
    "plt.plot(opt_data[:,0],opt_data[:,2],  label=r'$Im(\\epsilon)_{opt.}$' )\n",
    "plt.plot(epsSi_energy,epsSi_LF[0:].imag, label=r'$Im(\\epsilon)_{DFT}$' )\n",
    "plt.plot(epsSi_energy,epsSi_LF[0:].real, label=r'$Re(\\varepsilon)_{DFT}$')\n",
    "plt.xlim(0,10)\n",
    "plt.ylim(-20,60)\n",
    "plt.legend();\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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>"
      ]
     },
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     "output_type": "display_data"
    },
    {
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2KZNG72yjRs3hoODA3755ReD30vOfkBHd2VE9/D29i5UAxALAgqABczZs2fRtWtXFCtWTGz4ZcuWRWhoqF45hmEM7nkCgG+//RbFihVDZmYmtFotPD09MWDAAIMzB7p/0hMnTgAQOsgyZcqYvAQCWBcAHzx4YPBaXgPg9OnT9crNnTvX6CWzwYMHw9HR0WydzenWrRvat29vUKfKlStj//79Bo+cgUz3+wsMDDQol/ssgzUBUKPRICAgAA0aNNB702vZsiUeP34slqtZsyY+++wzg+//7bffDAJgTklJSYiNjcXatWvBMAwuX74svmZNONJoNHjx4gViY2PRoUMH1KtXT+/1HTt2wMHBAdHR0XrbrW3P1gbAqlWrGnwQALLvPzQ1mtmWAdDPz088G2wNXTsfN26c2GY2bNiA77//HgzDYO7cuXrlWZZFo0aNjLbJ+/fvi+UsBcCMjAwwDINWrVpZ/bPpTJ482eiZon79+sHDw8Po93h5eYm3gQDC/1aJEiUMLvd5enoa3HaRkJAAhmEwduxYcZu1AXD16tVgGAaurq56twQ8ePAALi4u+P77783+rLdv34aHh4feCGvdPo3dU9inTx+ULFnSoD5nz57VK9elSxejf5969erh888/F59bCoDGfoedOnVC/fr1xefmAuDz58/1vvfPP/9EqVKljPwmsq1btw4Mw2DPnj16258/f24yAG7cuFGvrO7Da+6zq126dIGXl5fBMRMTE7F//35s27YNw4cPR4MGDbBjxw6z9SR5QwGwgEpLS8PZs2cxcuRIuLu7w8XFBeHh4eLrDMOgb9++Bt83duxYMAyDZ8+eISYmxuSZA91jy5YtAIBatWqhadOmZutkKQA6OzsbHaGV1wAYEhKiV073hpLzDAGQ/Uab++ymNdLT06FSqRAYGGhQJ3vfA5hbXFwcQkND0a5dOzAMg2bNmomvubm5oU+fPgbfozsLlTMAXr9+HV26dIFKpTL4u+e8V9RcOFq5ciU+/PBDuLi46H1/lSpV9Mr98ssv+PTTT03+TJbac842kpmZiWfPnuk9dGci8/MM4KtXr/TqpOtI3/YMoLF7ADt27Ah3d3e9TlquewBznwE09fPkFhISAgcHB7373HTyegawVq1aBuVYljU6kpZhGPz+++/ic2sDoO5s3ZdffmlQ9ssvvzRou8b07NkTrq6u4r1xb3MGMPeHId0l2NyaN2+OunXris8tBUBjv0NfX19UrlxZfG7uEnBuuX9/xvj7+4NhGPFSdE6lSpUyGgBNvV8b+72UKFHC7PEBYboqR0dHvQ+vRBoKgAqg+4caP368uM2aAPjs2TMwDIPevXsbPXuwf/9+8d4dOQJg8eLFjX5f5cqVjQbAZs2aGQ2AuTtGU2HLUodnzqFDh4yeMSsIATB3fRiGEc/0WBsA4+PjUbp0aVSpUgVz587Fjh07sH//fkybNg0Mw+hdSjEVjtasWQOGYdClSxesXr0ae/bswf79+9GyZUuD8u+//77VZ82MteecAdDYgCNdffPzHsDc8+zp9qe7XJnXewCNBcA5c+aAYRi9+1LlCoC6ewB1AxlM/Tw57du3D66urujYsaPRM+15vQfQ2P+WqZ8v9//NDz/8YLSOunvTdMLCwsAwjF741Pn222/h6elpsD23YcOGgWEYcbDR29wDmPvvYOo9Mvfv5W1GAecOx+YGgeRmqwBo7fu1ub4jp5SUFDg6Ohq9zYi8HQqACqC7qTnnPWjWXALOzMzEO++8g++++87iMXSXgM3NxRYXF/dWAbB+/fp6l4J0vLy88i0A/v3336hdu7bB9oIWAP/++28wTPbUB9ZeAt66davBmT4AWLJkiUEA7Nixo9GOtXPnzqhatarB5aYmTZrolde1z9yXvEwx1p5zBsCUlBSDDyq66USGDh1qdBSw7hKlLUcB37lzR69Outsn3rx5g1KlSuGDDz6QPApYN51MzrPgco8C1l2qNvXz6Jw+fRrFixdHkyZNjN5PCgA8z4NhDEcB60JYznvVpAbAv/76S+9Sq45ugIFOUlISXFxc9C6r6nz++eeoUaOG0Z8lp27dusHd3V28opGQkGB2FHDOe2KlBsDz588XuAD4NpeA5Q6AutsCfv31V4tliXUoABYghw4dMjocXnfWJucADd2n9gsXLojbHj58CHd3d3Tp0kXc9sMPP8DV1dXoSMycl3ysGQSSnJwMhmEwaNAggzLm/om/+eYbvPfee3oDCnbs2AGGYewSAGNjYxEZGak3wvaDDz4weDMH8icAPnv2TO9yqE5aWhrq1asHR0dH8We0dhDI9u3bwTAMjhw5YrC/3AHQ1FmR//73v6hatareZf3Tp0/DwcFBr7OZNm0a3nvvPYO2m5f2bO09gKdPnwbD6M8DmJqaiurVq5ud486W9wACwNSpU8EwDP7++2+jP/OaNWsszgMIZJ/xzXm/qRwBUHf5zNiHRmMiIiJQunRp1KlTx+xcfropcDp27Ki3vXfv3ihWrJjeiE2pATAgIAAMw+gN4nj69Kk4gjenzp07w8nJSe/3GBERAScnJ71pn4xd9r58+TJcXFzQqVMnve1t27ZF+fLl9UYmL1u2DAyjPzWJ1AAYGRkJhjF+P6u9AmBUVBSioqLE58+fP4eLi0ueBoG8bQCMj483eiJCNw+gsSnMyNuhAFiA1KlTB1WqVMGQIUOwZMkSBAQEoFevXnByckLlypX1Rt8xjPFpYNzd3fXeIKOjo8GyrDgj/uLFi+Hv74/u3bvr3fibmZmJFi1aiJdOAgMDMX36dLRu3Rrbtm0Ty9WuXRvlypVDYGAg1q9fLwZLcwFwz5494j05QUFBGDp0KMqVK4dq1arZJQDqyulCz927dw3CkY65lUByzmlmaSWQnJdKGIZBo0aN4OfnZ/A4fvw4zp07BwcHB3z11VeYMmUKgoODMXXqVHz88cdgGGFyYZ2nT5+idOnSFqeBiYuLQ6lSpcCyLGbNmoXZs2ejfv364j5zBsDp06eDYRj89ddfWLdunXgZVfehoFOnTli8eDFGjBgh3rCfs7P54osv8MMPPxj8LvPSnvMymWz37t3FszGLFy9GkyZN4OzsbHC288qVK+Lv2dvbG56enuLz3JeKV69eDT8/P4wcOVJsq7qyOQdamKLRaMQzUQ0aNBD/jlOmTIGPjw8YhsHJkycBGF99Yt68eXrTMOXEmlkJJOd9h7lXAlm+fDkmTpwoTjXy8ccf6w0oMiUpKQleXl5wdHTE1KlTDY6p+zl0AgMDwTAMvvnmGyxdulQc0Z57RLPUABgXF4fixYujatWqmDt3LqZMmQIvLy9x4FRO4eHhKFGiBMqXLw9/f3/4+/ujfPnyKFu2rN7v4Msvv0T79u3FFU8GDx6MYsWKoWTJkoiIiNDb54ULF+Dm5qa3Eoi7uztat26tV05qAExPT4enpye8vb2xbNkyrF+/Hnfv3jX7O5Q7ALIsa/CBSfe/oZsG5qeffjI7DczbBsCtW7fCy8sLf/31FxYuXIi5c+eiW7ducHBwwCeffGIwMwF5exQAC5Ddu3ejX79+qFWrFkqUKCEuo/XHH38Y3GOje3Ncu3atOHFz/fr1jQ6Tj4mJwcCBA+Hl5QUXFxeUK1cOX331FZYsWaJXLjk5GaNHj0aVKlXEct98841emDl58iQaNmwozq2VeyJoU2bNmoWKFSuKy/mcP3/e5CAQWwfAgIAAvQmLczI3DUzON0lLawHnfOM1V87Pzw9JSUmYN28e2rRpg0qVKsHFxQXvvPMOGjdujKVLlxqcUbp69SqaN29ucSLosLAwfPbZZ+JksbppWHIHwNevX6NXr17w9PQEw2TfC6bVajFlyhSwLCu2L57n9Tob3aWx3CP+gLy157wEwJSUFPFDhJubGz799FODS1OW/ka5j2Xu756XqSc2b96M1q1b4z//+Q+cnZ1Rvnx5fPvtt3ofNoxNA+Pq6opatWph8uTJBmc/zE0Dk7OTzn1Pn7u7OypVqpTntYBNTfpu6ncHCLcWeHt7w9XVFdWqVcOcOXMM2q3UAAgI9yTWrVsXrq6u8Pb2xtq1a01ewrxw4QJatWqF4sWL45133kHnzp1x69YtvTLz5s2Dj4+P3t+rd+/euH37ttHfzfHjx9GkSRO4u7ujbNmyGDhwoN4ZQUB6AASA0NBQ1K5dG87OznrvJ/kZADUaDSZMmIDy5ctbNRH02wbAqKgo9O3bF1WrVoWHh4c4d6FarVbE6lJKQgFQoSxdViSmtWvXDt27d8/vahQKGzZsgLOzMxISEvK7KoQQQvKAAqBCUQB8e9OmTTO4jEXezt69e61aRYAQQkjBQgFQoSgAEkIIIeRtUQBUKAqAhBBCCHlbigqAAQEB4g3pPj4+RpflyWnjxo3w9vaGm5sb6tatazBXlambnHMvRUYIIYQQUpgoJgCGhITA1dUVwcHBCA8PR//+/eHp6WkwmlAnLCwMTk5OmD59OiIiIjBmzBi4uLjozYeXe7mp4OBgODg4GJ3tnBBCCCGksFBMAPTx8dG75KnRaFChQgX4+/sbLd+jRw+DqQUaNWqkt/pAbp07dza6zighhBBCSGGiiACYlpYGJycng8XW+/btazBbu46Xl5fBTOrjxo3DRx99ZLR8dHQ0nJ2d8c8//8hTaUIIIYSQAkoRAfDJkyd6M+nrDBs2DD4+Pka/x8XFBevWrdPbFhgYiHfffddo+WnTpqFUqVJISUkxWY/U1FQkJiaKj/j4eNy5cwcJCQl62+lBD3rQgx70oEfBfSQkJODRo0d6S10WNRQAs3h7e+P33383W4/cM+3Tgx70oAc96EEP5T4ePXqUhzRSuCgiANr6EvCxY8fAMAwuX75sth65zwA+fPhQbED5/WmGHtY/RoacgdfgjRi/+Zyk/dx6GAOvwRtRZcimfP+Z6EEPetCDHtY/Hj16BIZhivQqRooIgIAwCCTnGTqNRoOKFSuaHQTSsWNHvW2NGzc2OgjE19cXDRs2zHOdEhMTwTAMEhMT8/y9JP+M334dLMdj2u5ISfuJSUwBy/GoOnKn5cKEEEIKDOq/FRQAQ0JC4ObmhpUrVyIiIgIDBgyAp6cnoqOjAQB9+vTBiBEjxPJhYWFwdnbGzJkzERkZCbVabTANDCA0gmLFiiEoKCjPdaIGpEzqUCEATt8jMQAmCQGw8gheppoRQgixB+q/FRQAAWDBggV4//334erqCh8fH5w+fVp8rXnz5vD19dUrv3HjRtSsWROurq6oU6eOwUTQALB48WJ4eHi81WlgakDKpAuAM/bckLSf50mpYDkeLEcBkBBClIT6b4UFwIKGGpAyjdt2DSzHY+ZeaQEw7lV2ANRqtTLVjhBCiK1R/00BUBJqQMo0NisAzpIYAF+8ThMDoEZDAZAQQpSC+m8KgJJQA1KmMVuzAuC+m5L28zJHAMzILLpzSRGSkamBVqvFvxceIfTyk/yuDiEWUf9NAVASakDKNHrrVbAcj9kSA2DCm3QxAKZTACRF1KgtV1Fj1C7xf4HleHQJPIHYV6n5XTVCTKL+mwKgJNSAlGnUFiEAztkvMQAmZwfAtAwKgKToufY4QS/45XyM2XrN8g4IySfUf1MAlIQakDKNzAqAc/ffkrSfpJTsAJiSnilT7QhRhrQMDRpM3AeW49HE/yD8doRj47mH4iCrL6Yfyu8qEmIS9d8UACWhBqRMI/4VAuC8A9IC4KvUDAqApMjacvGR2P5P34kTt+c8Mx7/Ji0fa0iIadR/UwCUhBqQMo349wpYjsd8iQHwdY4A+CYtQ6baEaIMv629AJbjMWSD4RKaX0w/BJbjcfTm83yoGSGWUf9NAVASakDKxG0WAuCCg9ICYHJaphgAX6dSACRFh1arFS//nr33wuD1IRsu032ApECj/psCoCTUgJRp+CYhAAYcui1pPynp2QEwKSVdptoRUvDdik4Cy/HwHrMLqRmGtz8cjIwGy/GoPmonXtGHI1IAUf9NAVASakDKNGzTZVkCYGpGdgBMSJAn4/AAACAASURBVKYASIqO0MtPwHI8ui0MM/q6VqtFQ7/9YDkeFx68tHPtCLGM+m8KgJJQA1KmoRuFABh4WFoATM/UZAfANxQASdEx/8AtsByPoRsN7//T6b3sNFiOx7ozD+xYM0KsQ/03BUBJqAEp099ZAXDh4ShJ+8nIEQBfvqbRjqTo0N3jZ+4+2kl8OFiOhzr0uh1rRoh1qP+mACgJNSBl0nVeQUekBUCNRisGwBcUAEkR0m1hGFiOx3Yzy75tOi9ME9Nj0Uk71owQ61D/TQFQEmpAyvTXhktgOR6LJAZArTY7ANKyV6Qo+WSScH/f1UcJJsvczDFQhFbKIQUN9d8UACWhBqRMf4UIAXDxUWkBEAAqjxACYExSigw1I6Tgyzn/pbnBT1qtFvWzpoq5SANBSAFD/TcFQEmoASnT4KwAuOToHcn7qjpyJ1iOR3QiBUBSNIQ/SQTL8ag3Ya/FsrqBIP+cpoEgpGCh/psCoCTUgJRp0PqLYDkeS49JD4DVRwkB8GlCsgw1I6Tg23X1KViOR+eAE4YvXvsXOLNEfDplVwRNCE0KJOq/KQBKQg1Imf6UMQDWGL0LLMfjcTwFQFI0zN0vTAHz14ZL+i9oMgG/dwG1Cnh8AQCw7dJjsByP/5qYL5CQ/EL9NwVASagBKdMf64QAuOz4Xcn7qpkVAB++eCNDzQgp+H5aedb4/8+r50L4U6uAfWMBALdjsgeCpKQbrhhCSH6h/psCoCTUgJTp96wAuFyGAFhrzG4KgKTIePE6Tbzt4drjXCOAo69nB8A5HwJaLbRaLXwmCyOGw27H5k+lCTGC+m8KgJJQA1Kmgf9cAMvxCD4hPQDWHisEwPtxr2WoGSEF25Gbz8FyPL6ccdjwxahD2QFQrQKeXAQA9FshnDFce/q+fStLiBnUf1MAlIQakDL9tlYIgCtkCIB1x+0By/G4G0sBkBR+i45EgeV4/PbPBcMXr2zQD4D7xgEA1KHXwXI8/HdF2rm2hJhG/TcFQEmoASnTr2vPg+V4rAy7J3lfH6qFABj1/JX0ihFSwHGbr4DleMzed9PwxbAFQvCb4qV3GXjpsTtgOR4DjYVGQvIJ9d8UACWhBqRMv6wRAuCqk/ck7+vjCXvBcjxuxyRJrxghBdx3S06B5Xj8e+GR4Yv7xgrBL/QPwO898TLw7mtmpo0hJJ9Q/00BUBJqQMr082ohAK6WIQDqVjq4GU0BkBR+TaceBMvxOHfvheGLW34RQt+xmcCGPuJl4GuPE8ByPBr67bN/hQkxgfpvCoCSUANSpgGrzwkB8JT0m9IbZAXAG88oAJLCLS1Dgyq6pQ+NrXyz5r9C6LuwWpgQWq0C5n6EhNdp4tJxr1Iz7F9xQoyg/psCoCTUgJSp/yohAK6RIQA29BOmuIh4Sm2AFG73Yl+Lc/pptVrDAkHNhNB3cw+Q9jrHZeBLaDzlAFiOx6k7cfavOCFGUP9NAVASakDK9L+sACjHtBSfThIC4PUnCZYLE6JgR7OmgPm/2UeMF5jprbcKCEJ6C8/3q8XbLhYfjbJbfQkxh/pvCoCSUANSpp9WnpNtgfpGkw8YnxSXkEJm9an7YDkeP608a/iiRgOMLyUEvoTHwrarm4Tn8xsg8JCwfNyva8/bt9KEmED9NwVASagBKZNuKat1Z6QHQN2lrSuP4mWoGSEF1+SdEWA5HuO3Xzd88XVc9vx/GWnCtpREYGIZQK3CtUunwXI8aozehbhXqfatOCFGUP9NAVASakDKpFuZYL0MAbCJvzAq8tJDCoCkcNNdxjU6gXpMhBD+/N/X376mG6BWQXtkOppPPwSW43H05nP7VJgQM6j/pgAoCTUgZfoxKwCGnJUeAHXTYlx88FKGmhFScLWdewwsx+NgZLThi3eOCAFwwSf628+vELYv+kIcfS/HEoyESEX9NwVASagBKdMPwWfAcjw2nH0oeV+fTxPOapy/TwGQFF5arRZ1spY9NDrpue5+v+D2+ttfPQfUJQG1CotChf+V0Vuv2qfShJhB/TcFQEmoASmTry4AnpMeAHWXtYxOjEtIIfEix1x+KemZhgVOBgoBcKOv4WvL2wJqFS5vmgKW49Fz8Smb15cQS6j/pgAoCTUgZeq7XAiAG2UIgF/OOAyW43HmLgVAUnhdfPASLMej0eQDxgvsVwsBcOcww9dOBgBqFV4FtRZXBDE6jyAhdkT9NwVASagBKVOfrAC46byR9UzzqOXMwzTBLSn0tl16DJbj0T3opPECW38TAuDR6YavvbwvDAQZ74lPR64Hy/F4HJ9s2woTYgH13xQAJaEGpEy9lwlTUmyWIQC2mnUELMcjLCpWhpoRUjAtOCjM4zdkw2XjBdZ+IwTA8yuNv561Ssi8GWPBcjy2X35iu8oSYgXqvykASkINSJl0AfDfC9IDYOvZR4UAeJsCICm8hm26DJbjMe/ALeMFFn0hBMAbu4y/fmQaoFbhxqy2pucSJMSOqP+mACgJNSBl+n6pEAC3XJQeANvMEQLg8VsUAEnh1WPRSbAcj60XHxsvMOsDIQA+MrHSR3Q4oFYhc0JpfMBtxvdLT9uusoRYgfpvCoCSUANSpl5LT5nvzPJANzcaTW5LCjPdijdGpzvSasUVPxBvYmCVVgtMrw6oVeg4Yj6+mH7IthUmxALqvykASkINSJm+WyIEwG2XpAfA9vOEAHj4RowMNSOk4EnNyETlEcIUMLHGlnFLfpm9DFx6iukdLW0FqFX4deQYVB+1E5kaGglM8g/13xQAJaEGpEw9F8sXADvOPw6W43EokgIgKZyinr8Cy/H4YOxu49O3PL8phL8pXuZ3tPl/gFqFaWN+ppHAJN9R/62gABgQEACWZeHm5gYfHx+cOXPGbPmNGzfC29sbbm5uqFu3Lnbu3GlQJiIiAl9//TVUKhWKFSuGTz75BA8eWL88GDUgZfp2sXA/U6gMIxE7LRAC4IEII8tjEVIIHLoRA5bj0WbOUeMF7h4TAuD8BuZ3dNAPUKuwza8HTZ1E8h313woJgCEhIXB1dUVwcDDCw8PRv39/eHp6IibG+FmXsLAwODk5Yfr06YiIiMCYMWPg4uKCa9euiWWioqLwn//8B8OGDcPFixcRFRWF0NBQk/s0hhqQMuluaJdjKorOASfAcjz2hVMAJIXTqpP3wHI8+q86Z7zAtc1CAFze1vyOLqwG1Cpc8f9StonYCXlb1H8rJAD6+Phg4MCB4nONRoMKFSrA39/faPkePXqgQ4cOetsaNWqEn3/+WXz+7bffonfv3pLqRQ1ImbpnBcAdV6QHwK6BQgDce/2ZDDUjpOCZuCMcLMfDb0e48QKngoQAuKGP+R3dPQqoVYidXBssx2P2vpvyV5YQK1H/rYAAmJaWBicnJ2zdulVve9++fdGpUyej3+Pl5YU5c+bobRs3bhw++ugjAEKALFGiBCZOnIjWrVujbNmy8PHxMThGbqmpqUhMTBQfjx49KvINSIm6BwkBcOfVp5L39d+FYWA5HruvUQAkhdP/Vp0Dy/FYdfKe8QIHJggBkP/b/I6yVgTJHF8albnt+HujiUmlCbEDCoAKCIBPnjwBwzA4eVJ/CaJhw4bBx8fH6Pe4uLhg3bp1etsCAwPx7rvvAgCePXsGhmFQrFgxzJ49G5cuXYK/vz8cHBxw5MgRk3VRq9VgGMbgUZQbkBJ9EySEtl0yBEA590VIQaSb6/KQqZHu2wYKAfDINPM7yswAxpcC1Co04lah5+JT8leWECtRACyiAVC3z++++06vzNdff42ePXuarAudASwcss/aSQ9tusvJ/BUKgKRwqjNuD1iOx+2YV8YL/NNDCIDngi3vbM6HgFqFb0bMxOfTaC5Akn8oACogANriEnBaWhqcnZ3h5+enV2b48OFo0qSJ1XWjBqRMuvv25LhsqxtRTGubksIoMSUdLCfMAfg6NcN4ocUthAAYyVve4cqOgFqFv0YOR7WRNBcgyT/UfysgAALCIJDff/9dfK7RaFCxYkWzg0A6duyot61x48Z6g0AaN25sMAikS5cuBmcFzaEGpExdsgLgHhkGbsg5qTQhBc3N6CSwHI8P1XtMF5pdRwiAD89a3mHo74BahbmjfwTL8XiaQHMBkvxB/bdCAmBISAjc3NywcuVKREREYMCAAfD09ER0tDD1Rp8+fTBixAixfFhYGJydnTFz5kxERkZCrVYbTAOzZcsWuLi4YMmSJbh9+zYWLFgAJycnHD9+3Op6UQNSpk4yTt2iW1eYAiApjI7cfG5+DkCtFphYVgiAL+9Z3uHRGYBahd1+ncFyPMJu0xraJH9Q/62QAAgACxYswPvvvw9XV1f4+Pjg9OnsxcSbN28OX19fvfIbN25EzZo14erqijp16hidCHr58uWoXr063N3d8fHHH2Pbtm15qhM1IGXSTd68X4YA2HuZEAC3XHwkQ80IKVjWn3kAluPhG2xi4v2UhOxl4NLeWN7h1U2AWoWb/s3AcjyCT9yVt8KEWIn6bwUFwIKIGpAyfZ0VAA9GSg+AfZafAcvx2HyeAiApfGbvuwmW4zHi36vGC8TeFsLf5IrW7fDhWUCtQuLk6mA5HqO3mtgvITZG/TcFQEmoASlTh/nHZFu/1zf4DK1qQAqtYZsug+V4zDtwy3iB+2FCAJxXz7odvooB1Cpo1SVRg9tq+swiITZG/TcFQEmoASlT+3lCADxsal6zPPhxxVmwHI8NZykAksJHd4vDBlMfcK5vFQLgstbW7VCrBSaVA9QqNB+xFC1nHpatroTkBfXfFAAloQakTG3nCgHwyM3nkvf100ohAK4/80CGmhFSsHw16whYjsfxWyYGa5xeLATAkO+t32mAD6BWoffIKfAeswtaLU0FQ+yP+m8KgJJQA1Im3coGx25JD4C6ZbLWUQAkhZDFSaD3jxcC4M6h1u90bXdArcLIUX+B5XgkvEmXp7KE5AH13xQAJaEGpEytZx81f1YjDwasFgLg2tP3ZagZIQWHVZNAb/lFCIDHZlq/453DALUKy9V9wHI8bjxLkqfChOQB9d8UACWhBqRM/zf7iGxzkP28+jxYjsfqUxQASeFi1STQqzoLAfDSOtNlcjsZAKhVODKpvWy3YhCSV9R/UwCUhBqQMunuawqLkh4Af10rBMBVJ+9JrxghBYjFSaAB8X4+ROVhXd+IHYBahTuTPwXL8Qg5a+H2Ca0WuLEbeEkfsoh8qP+mACgJNSBlajnzMFiOx6k7cZL39ds/F8ByPFbQhLakkLE4CTQA+HsJATAm0vodP7sKqFV4NdELLMdj7n4TU8zoZE0ejRUdrD8GIRZQ/00BUBJqQMr05QwhAJ6WIQD+vu4iWI7H8uMUAEnhYnES6LQ32auAJMdbv+OURPH7anObTO8fADQaIPAzoby/V95+AELMoP6bAqAk1ICUqUVWADx774Xkff25XgiAS4/dkaFmhBQcFieBfnFHCGaTygmXafNiKguoVWgzYiH6LjdzhjFyZ3bIVKuAN9L/ZwkBqP8GKABKQg1Imb6Yfggsx+OcDAFwcMglCoCkULI4CfS9E3lbBSSnRV8AahX+N3K86cmgtVpgSUv9APjofN6PRYgR1H9TAJSEGpAyfT5NCIDn77+UvK+/NggBcPHRKBlqRkjBYXESaN29ecHt8r7zDX0AtQoTRg1EzdEmJoO+e1TYv9+7wIJPha+vbsr7sQgxgvpvCoCSUANSpqZTD4LleFx4ID0ADtkgXCYLOkIBkBQuFieBDlsghLJN/fK+831jAbUKwaO7g+V4xCSlGJbRTTHDDwG2/iZ8fWRa3o9FiBHUf1MAlIQakDI18RcC4EUZAuDQjUIADDx8W4aaEVIwWDUJ9J5RQijbMyrvBzi7DFCrEDahhfGz8Y8vCPseX0qY/uXodOH5ll/yfixCjKD+mwKgJNSAlEkXAC8/zMPIRROGb7oCluMRcIgCICk8rJoEetOPQigLW5D3Azy5BKhVSB7/Hqpz27Dt0mP910O+F/b97wDhue5y87LWeT8WIUZQ/00BUBJqQMr02ZQDYDkeVx5JD4Aj/hUC4HxTIyUJUSCrJoEObvf29+VpNMD0aoBahZ4jp+l/gEp8CqhLZs0vGCFs050RnFEj78cixAjqvykASkINSJkaTRYC4LXHCZL3NXLLVfNTZRCiQFZNAj33YyGU3Q97u4Ns+RlQqxA0uhdG/Hsle/vpRcJ+l7bK3pb8MnskcKqJexIJyQPqvykASkINSJk+nbRftgA4eqsQAOfsvylDzQgpGCxOAq3VAn7vCYHsxVtOgZR1WTdybB18v/R09vblbYT9ngzUL581dyCeXXu74xGSA/XfFAAloQakTJ9kBcDwJ9L/bmO2XgPL8Zi1jwIgKTwsTgKdHJ99Ri49+e0O8uYFtOM9AbUK30zdIGzLefk3Idd9gYtbCNvDQ9/ueITkQP03BUBJqAEpU0O/fWA5HhFPpf/dxm0TAuDMvTdkqBkhBYPFSaBjIrKWZ3tf0nFSFwkTPY8aPQQajdb45V+dTf2E107MlXRMQgDqvwEKgJJQA1KmBhOFAHjjWZLkfalDr4PleEzfEylDzQgpGCxOAh11UAhjAY0kHSfz0FRArcLuMV/haUKy6cu/AHDQT3ht+yBJxyQEoP4boAAoCTUgZao3YS9YjsfNaOkBcML2cLAcj6m7KQCSwsPiJNCX/hHC2KrO0g70+DygViFp3Hu4fO2K6cu/AHBxrfDayq+lHZMQUP8NUACUhBqQMn2cFQBvx0gPgH47hADov4sCICkcrJoE+thMIYxt/VXawTQaJEzwAtQqPF7UzfTlXwC4f1J4fU5dacckBNR/AxQAJaEGpEwfqi2c3ciDyTsjwHI8puyMkKFmhOQ/qyaB5v8WwtiBCZKPd372N9kDSkxd/gWApGdZq4N4Ahlpko9LijbqvykASkINSJnqZgXAO8+lB8Apu4QAOIkPl6FmhOQ/qyaBXt9LCGNnlkg+3u518/UDoLHLv4Aw9cykckKZWFp5h0hD/TcFQEmoASmT7v6mu7GvJe/Lf1ckWI7HxB0UAEnhYNUk0EuE0buI2C75ePypq9CMK2n+8q9OYGOh3M29ko9LijbqvykASkINSJlqj90NluNxP056AJy2WwiA47dfl6FmhOQ/i5NAA8CsD4Qg9ui85OOdvfcC58c2NH/5V0d35vH0IsnHJUUb9d8UACWhBqRMtcYIAfBB3BvJ+5qx5wZYjoc6lAIgKRwsTgKt0QDjS5m/XJsHTxOS0XrEQswY3R8ZaSnmC+8dLRx313DJxyVFG/XfFAAloQakTN5jdoHleDx8IT0AztorBMBx22h5KlI4WJwE+lVM1v16JYHMdMnH02i0qD5qJ1iOx6OXFv4nzy4Tjr22u+TjkqKN+m8KgJJQA1KmmqN3WdfZWEF3uWzMVgqApHD4v9nCJNBHbz43XuDJJSGEzagh2zGbTz8EluNxMirOfMGoQ8KxF3wi27FJ0UT9NwVASagBKVONUUIAfBz/lmuY5jB3/y2wHI9RW8zcL0WIguimSTI5UfqN3UIIW/S5bMfUnXXcaOqso87Le8KxJ5YBNJmyHZ8UPdR/UwCUhBqQMukuNz1NkB4A5x+4ZfmGeUIUIjktU5wEOiHZxOXdc8FCCPunh2zHHfHvFbAcj9n7bpovmJkBTCgtHD/eQlgkxAzqvykASkINSJmqjhQC4LMECzecW2HBQSEAcpuvyFAzQvLX3djXYDketcbshlarNV7o0GTZ1+QNOHQbLMfjr5BLlgvPqy8c/84R2Y5Pih7qvykASkINSJmqjBDOcMQkSg+Auo5r2KbLMtSMkPx1MioOLMejxYzDpguF/i4EsMNTZTvuvvBosByPr2ZZEerWZC0Zd36FbMcnRQ/13xQAJaEGpEy6S1wxSdID4MLDUWA5Hn9vpABIlG/rxcdgOR7fLj5putDarKXbzq+U7bgvXqeJ/5eJKRZGFu8cKhx/31jZjk+KHuq/KQBKQg1IebRardjRxL5Klby/RUeEADhkAwVAonxBWe150PqLpgstbGKT1TgaTT4AluNx/v5L8wVPzBOOv/l/sh6fFC3Uf1MAlIQakPJoNNkBME6GALjk6B3r710ipIBTh14Hy/GYsivCeAG99XhNTBT9lvosPwOW47HuzAPzBS+tE46/qrOsxydFC/XfFAAloQakPJk5AuDL12mS97f02B3LZ0wIUYhf1pwHy/FYceKu8QKJT4TwNb4UkCH9/yenMVuvgeV4TN8Tab7grX1CHRY2lfX4pGih/psCoCTUgJQnPVMjBsD4N9I7sOXH74LlePyxjgIgUb7OASfAcjx2X3tqvMDdY0L4mvux7MfWXX4ebOls+pOLQh1mesteB1J0UP9NAVASakDKk5aRHQBNznOWB8EnhAA48J8LMtSOkPz12RThPryLD0zch3d+hRC+1vxX9mOHXn4CluPRfZGZASgAkPBIqMOE/wiXpAl5C9R/UwCUhBqQ8qSkZ1o/2tAKK8PugeV4/LaWAiBRtkyNVpwj0+Qk6XtHC+Fr13DZj3/+/guwHI+mUw+aL5iekrUWsQpItjBghBATqP+mACgJNSDlyRkAX6VmSN7f6pNCAPx17XkZakdI/olJTAHL8agygkdGpsZ4oXXfCcHr9GLZj/80IRksx6PayJ3I1Fg4sze5ok0GopCig/pvhQXAgIAAsCwLNzc3+Pj44MyZM2bLb9y4Ed7e3nBzc0PdunWxc+dOvdd9fX3BMIzeo02bNlbXhxqQ8rxJyxAD4GsZAuCaU/fBcjx+Xk0BkCjblUfxYDken07ab7rQgk+F4HXbTJm3lKnRopqlM5A6cz8W6nHfwuViQkyg/ltBATAkJASurq4IDg5GeHg4+vfvD09PT8TExBgtHxYWBicnJ0yfPh0REREYM2YMXFxccO3aNbGMr68v2rZti2fPnomPly+tv6RADUh5XqdmB8A3adID4D+nH4DlePRfdU6G2hGSf/ZefwaW4/H1guPGC2gygYllhOD18p5N6tB06sGsuQBfmC+4tJVQj/BQm9SDFH7UfysoAPr4+GDgwIHic41GgwoVKsDf399o+R49eqBDhw562xo1aoSff/5ZfO7r64vOnd9+LilqQMqTlJIuBsCU9EzJ+1t/RgiAP62kAEiUTXc7w/9MfZh5eV8IXRPLCGHQBrovOgmW4xF6+Yn5grpL0WeX2aQepPCj/lshATAtLQ1OTk7YunWr3va+ffuiU6dORr/Hy8sLc+bM0ds2btw4fPTRR+JzX19flCxZEmXLlkXNmjXxyy+/IC4uzmQ9UlNTkZiYKD4ePXpU5BuQ0iTKHABDzgoBsN+KszLUjpD8M31PJFiOx5it14wXuH1ACF0LPrVZHQaHXALL8Vh4OMp8QRusR0yKFgqACgmAT548AcMwOHlS/36PYcOGwcfHx+j3uLi4YN26dXrbAgMD8e6774rP169fj9DQUFy9ehVbt27FBx98gE8//RSZmcaDgVqtNrhnsKg3IKVJSM4OgGkZJm50z4MN5x6C5Xj8EGz+flRCCrohGy6D5XgEHLptvMCZJULoWtfTZnWYufcGWI7HiH+vmi94YIJQl51DbVYXUrhRACziATC3O3fugGEYHDhwwOjrdAZQ+eLfZC86n25qpGMebDr/CCzHw5cCIFG475eeBsvx2Hz+kfECuzghdO0ZZbM6bM76f+q5+JT5gqcWCnXZ6GuzupDCjQKgQgKgrS4BG1OmTBksWrTIqnpRA1Kel6+zA6DFqSas8O8FocPqs5wCIFG2ljMPg+V4nLgda7zAmm5C6DoXbLM6XHjwEizHo6HffmjNTfJ8dZNQlxUdTJchxAzqvxUSAAFhEMjvv/8uPtdoNKhYsaLZQSAdO3bU29a4cWO9QSC5PXr0CA4ODggNtW5kGTUg5Yl7lSoGQI0MAXDrxcdgOR69l52WoXaE5J864/aA5XjcjnllvMC8ekLounvUZnVISc9ErTG7wXI8rj1OMF0w6pBQl4BGNqsLKdyo/1ZQAAwJCYGbmxtWrlyJiIgIDBgwAJ6enoiOjgYA9OnTByNGjBDLh4WFwdnZGTNnzkRkZCTUarXeNDCvXr3C0KFDcerUKdy7dw8HDhxAgwYNUKNGDaSmplpVJ2pAyhObIwCaPcNgpW2XhADYa6mFS1aEFGCvckyPZHSC9Mx0YHwpIXQlWhihK1HvZcKl6H9OPzBd6Nk1oS7Tqtq0LqTwov7bhgGwb9++OHpU3k+KCxYswPvvvw9XV1f4+Pjg9Onssy7NmzeHr6+vXvmNGzeiZs2acHV1RZ06dfQmgk5OTkbr1q1RtmxZuLi4gGVZ9O/fXwyU1qAGpDwxSSliRyeH7Vnrl1q8Z4mQAux2zCuwHI864/YYLxB7Wwhck8rZfP3diTvCwXI8JmwPN10oKTprObiSNpuShhRu1H/bMAB27twZLi4uqF69OiZPnozHjx/b6lD5hhqQ8uRc7koOO64IAbCHpQXsCSmIzq8ANvXDzb2L8SG3AS1nHjZe7uYeIXAtbGLzKq09fd/y1EqZGdnrAb96bvM6kcKH+m8bXwJ+/vw5Zs2ahY8++gjOzs5o27YtNm3ahPT0dFse1m6oASnPswQhAFYdudNyYSvsvPoULMejexAFQKJAujV11SqkjyuF8/6tgTdGVuE4GSCU29DH5lU6EBENluPRYf4x8wWnVhbqFBNh8zqRwof6bzveA3jhwgX8/vvvcHd3R5kyZTB48GDcuqXshbypASmPbsH56qPkCYC7rwkB8JugMFn2R4jdpKeI4e/FtI+yz6idWmhYdsdfwmv7x9u8WtceJ4gjgc1a8InNB6WQwov6bzsFwKdPn2Lq1Knw9vZG8eLF0bdvX3z11VdwdnbG7Nmz7VEFm6AGpDyP44UAWGPULln2tydr/dT/LqQASBQm8akQoMaXwtitVzFrVD/h+fpehmVXdRJeu7jW5tXSpHrTWwAAIABJREFUDdSqPMLCXJ3B7YQ6Xdts8zqRwof6bxsGwPT0dGzevBkdOnSAi4sLGjZsiKCgIL1f9pYtW+Dp6WmrKtgcNSDlefTyDViOR83R8gTAfeHC5aougSdk2R8hdhMdLo6k7b/qHLqOmC08n1rZcKDH7DrCaw9sP9hJo9Gi+qidYDkeT+KTTRfc0Eeo02nr5m0lJCfqv20YAEuXLo1SpUrht99+w6VLl4yWiY+PR+XKlW1VBZujBqQ8D18IAdB7jDwBUHe/UqcACoBEYe6dEALU/IbotOA4qnPbkDnx3az76iKzy6UnC6Nt7Tjgoon/QbAcj4sPXpouxA8R6nRwkl3qRAoX6r9tGABXr16NlJQUW+2+QKAGpDwP4oQA+MHY3bLs71BkDFiOx9cLjsuyP0LsJmK7EKCWtsKnk/aD5XgkLW4rbDu7NLvcg9PCNn8vm08Bo9M18ARYjsfua09NFzo0RajX9kF2qRMpXKj/tmEA/PHHH5GUlGSw/fXr1/jxxx9tdVi7ogakPPdiX4PleNSWKwDeiLFuxCIhBc2FVYBaBc3a7qgyImsS6D2ThFC1Kcd7tO5M27/97Va139ZeAMvxWHrsjulCZ5aYvmeREAuo/7ZhAHR0dERMTIzB9tjYWDg5OdnqsHZFDUh57mYFQJMT3ubRkZvPwXI82s2lAEgU5sRcQK3Cq/U/CQOjRu+C5s5RIVTN9BbO9mWkZU+3cvuA3ao2a+8NsBwPbvMV04WubxXqtay13epFCg/qv20QABMTE5GQkAAHBwdERUUhMTFRfLx8+RKrVq1C+fLl5T5svqAGpDxRz4UVDz5UyxMAj9+KBcvxaDOHpqIgCrNfDahVeLx+EFiOFyaBTk8GJpYRgtWLO8CNXcLXM2oIky/biW6CdbODq8R7GBvYrV6k8KD+2wYB0MHBAY6OjiYfTk5OmDSpcNy0Sw1IeW7HJIHleHw8Ya8s+wuLEgJgq1lHZNkfIXYT+gegVuHy2pFgOR4/6lbeWN5GCFYXVgMbfYWvd4+0a9VuRSeJZ+pNrtn9/Eb2vYmE5BH13zYIgEeOHMHhw4fh4OCALVu24MiRI+Lj5MmTePLEtguJ2xM1IOW5mdWx1J+4T5b9nb4TB5bj8aWpJbQIKahCegNqFfasmAiW46EOvS5sPzAh+966iWWFr58Yn8nBVtIzNeJUMI9NTQXz5kX25NUZaXatH1E+6r9teA/g/fv3TX9yKySoASlP5LPErFUG5AmA5+69AMvxaD79kCz7I8RuVnQA1CosC5oOluOx/PhdYfvtA9nBSq0CFnxqt9G/OX0x/RBYjsfZe0aWpgMAjQYYX0qoY2LhObFA7IP6b5kD4JUrV6DRaMSvzT0KA2pAyhP+RAiAn0yysMyUlS48eAmW49Fs2kFZ9keI3SxsAqhVGD1zLliOx/7waGF7alJ2sFKrgGMz86V63YNOguV47LhiJtzNqCHU8Wnh6FOI/VD/LXMAdHBwEEf+6u4FdHBwMHg4OjrKedh8Qw1IeXTrjPpMlicAXn4YD5bj0cSfAiBRmFkfAGoVeoxbCJbjcSs6x7Rdi1tkB8D4B/lSvYH/XNA/M2lMYGO7j1AmhQP13zIHwJyXfe/fv2/2URhQA1IeXQD8bIo8HYZuf40mUwdEFGZSOUCtQtMRwWA5Hslpmdmv7R0tBKvgdvlWvQnbw8FyPKbsijBdaOXXQj0vh9ivYqRQoP7bhvcAFgXUgJTnyiN5z9jJfUmZELtITxHP8NXlNhq236RnwL8D8vXS6qIjUWA5HoNDzAxA2dRP+DlOBtivYqRQoP7bhgFw5cqV4HlefD5s2DCULFkSjRs3pjOAJN9ckvmS7Y1nwqjiBjKNKibELhKfCquAjC8Fltthfr69fLL14mOwHI/vlpwyXWgXJwTA/Wp7VYsUEtR/2zAA1qxZEwcPCp3syZMn4eHhgcWLF+Prr79G165dbXVYu6IGpDxyD9qQe15BQuwiOhxQq5A8iQXL8fh93cX8rpEB3RybLc1NsXR0uhAAt/1mt3qRwoH6bxsGQA8PDzx4INw8PHz4cPTp0wcAcP36dZQpU8ZWh7UrakDKc/6+MG3LFzJN23Ina2WRujKtLEKIXdw7DqhViJ1SFyzHw39XZH7XyIBu2UbvMbug0ZiYhub8CiEA/tPDrnUjykf9tw0DYNmyZXHxovCpsl69eli9ejUAICoqCsWLF7fVYe2KGpDynM2at6/FjMOy7O9+nNBJ1R67W5b9EWIXEdsBtQq3p3wGluOx5lTBuy0nU6NFjdG7wHI87se9Nl4okhcC4JKW9q0cUTzqv20YAHv16oUGDRrgp59+QrFixRAXFwcACA0NRZ06dWx1WLuiBqQ8cq/c8fDFG/EsBSGKcWEVoFbhlN9XYDkeh27E5HeNjGo/7xhYjsfe68+MF3h4RgiAcz60b8WI4lH/bcMAGB8fj4EDB6JTp07YvTv77Mi4ceNoLWCSb05GCQHwK5nW7n0SnwyW41FjFAVAoiAn5gJqFbaN6wiW43E7Jsny9+SDv0IugeV4LDh4y3iBuCghAE4qb9+KEcWj/pumgZGEGpDyhN0Wbiz/v9nyBMDoxBSwHI+qI3fKsj9C7GLfOGEZuNHfguV4vEnLyO8aGRWUNRWMyUEqKYnZE1anvbFv5YiiUf9t4wAYHx+PvXv3Ys2aNVi1apX40N0PqHTUgJTn+C0hALaZc1SW/T1PSgXL8WA53nJhQgqK0D8AtQozR/Ur0FMYHYyMBsvxaD3bxP+rVgtMLJuvK5YQZaL+24YBcPv27XjnnXfg4OCAkiVLwtPTU3yUKlXKVoe1K2pAynP05nOwHI+2c4/Jsr8Xr9PEAGhypCIhBU1Ib2Ed4FGD0Cmg4M0BqPPopXCPbbWRO5GWoTFeaFZtIQA+Pm/fyhFFo/7bhgGwRo0aGDRoEN68Kbyn5akBKc/hGzFgOR7t58kTABPepIsBMD3TRAdFSEGzogOgVuH3kaPwl7mVNvKZVqtF7bG7wXI8bkabuE9x0edCALxJUzER61H/bcMAWKxYMdy5c8dWuy8QqAEpz6FIIQB2nH9clv0lpWQHwJT0TMvfQEhBsLAJoFah98gppgdYFBBdAk+A5Xhsv/zEeIE1/xUC4MU19q0YUTTqv20YALt27YoNGzbYavcFAjUg5TkQIdxT1GmBPAHwTVqGGAAL6o30hBiY9QGgVqHDiPnYdfVpftfGLG7zFbAcj1l7bxgv8O8AIQCemGvfihFFo/7bhgFw2bJleP/996FWq7F582aEhobqPQoDakDKsy9cCICdZbrvKSU9UwyASSnpsuyTEFvT+r0HqFVoOiIYN54VzClgdJYfvwuW4zFg9TnjBXYOFQLgQT/7VowoGvXfNgyADg4OJh+Ojo62OqxdUQNSnj3Xn4HleHQNlCcApmdqxACY8IYCIFGA9GRx6pS63MYCf+vCiaypm0yu3nNggvDz7Bpu13oRZaP+m+YBlIQakPLsvvYULMej28IwWfan0WjFAPjidZos+yTEphKfAmoVMsZ5ov6EvfldG4t0Uy1VHmHiPttjs4QAuPVX+1eOKBb133YKgCkpKfY4jN1RA1KenVeFANg96KRs+9QFwOdJqbLtkxCbiQ4H1CrEjquEdjJNh2RLWq0W9SfuA8vxuPY4wbDAmSVCAAz53v6VI4pF/bcNA2BmZiYmTpyIChUqwMnJSRwRPGbMGCxbtsxWh7UrakDKs+PKE7Acjx6L5AuAVUfuBMvxiE4snB90SCFz7zigViFqrDf6rTib37WxyreLT4LleGw+/8jwxcshQgBc1dn+FSOKRf23DQPghAkTULVqVaxduxYeHh5iAAwJCcFnn31mq8PaFTUg5Qm9LATAnotPybbPGqN2geV4PIlPlm2fhNhMxHZArcL5sQ0xasvV/K6NVcZuuwaW4zFlV4Thi5E7hQC4pKX9K0YUi/pvGwbAatWq4cCBAwCAEiVKiAEwMjISnp6etjqsXVEDUp5tlx6D5Xj0WipfAPQeIwTAhy8K76TnpBC5sApQq7B/THMEHLqd37WxSvAJYSTwz6uNrPZx95gQABd8av+KEcWi/tuGAdDd3R33798HoB8Aw8PDUbx4cVsd1q6oASnP1otCAOy97LRs+9StVHA/7rVs+yTEZo7PAdQqbB7Twfgl1QJIN4G70SUcn1wSAuDMWvavGFEs6r9tGAAbNGiANWuEmdlzBsAJEyagWbNmtjqsXVEDUp5/LzwCy/Hos/yMbPusq94DluNx5/kr2fZJiM3sGweoVVg2+luE3Y7N79pYJer5K7Acjw/G7oZWm2vN7bgoIQBOrpg/lSOKRP23DQPgtm3bULJkSUydOhXFihXDjBkz8L///Q+urq7Yt2+frQ5rV9SAlGfTeSEA+gbLFwA/nrAXLMfjdkzBnlCXEADQhv4BqFWYOaqfYj60pGZkosoIYbR9TFKuwVavnovzGkJD63ET61D/beNpYI4dO4ZWrVqhbNmy8PDwQNOmTbF3b8Gfd8pa1ICUZ8O5h2A5Hj/KOPqxQdYUFQV9RQVCACD9n16AWoXRowYpavnCJv4HwXI8zt57of9Cekp2AEyh92JiHeq/aSJoSagBKU/I2QdgOR4/rZQvAH4yaT9Yjkf4E2oHpOB7s7gNoFZhuHpcflclT/osPwOW4/HP6Qf6L2i1wITSQgBMeJw/lSOKQ/23DQNglSpVEBcXZ7A9Pj4eVapUsdVh7YoakPKsOyMEwP+tMrGu6FtoNPmA6UlqCSlgXs3xAdQqjJw+J7+rkidTdkaA5XiM3XbN8MWprBAAYyLtXi+iTNR/23gt4JiYGIPt0dHRcHV1tdVh7YoakPKsPX3f/MLyb0F3aeryw3jZ9kmIrbzxrw6oVVAHrcnvquTJlouPTK/iM6euEAAfyfd/TQo36r9tEABDQ0MRGhoKBwcHrF69WnweGhqKLVu2YODAgahZs+Zb7TsgIAAsy8LNzQ0+Pj44c8b8jfwbN26Et7c33NzcULduXezcudNk2Z9//hkMw2DOHOs/FVMDUp7Vp4QA+MsaI/OJvaVm04QAeOHBS9n2SYitpE8oC6hVmLZ+T35XJU8iniaC5XjUVe8xHAm8sIkQAKMO5k/liOJQ/22DAOjg4AAHBwc4OjqKX+serq6uqPn/7J15eBRV1sZZJLh9IePM6AiDhSiggog6hmFEAXdFI8yMjKMiKiozwrhDhbXZMewQ9iWEiCGEHSoLZCP7Qsi+L2QjISvZ93S/3x833aFJAkm6qqurc37PU88Dlcq9p6tP+rx9655zRo7E+fPnuz2ui4sLLCws4ODggMTERHz11VewsrLqcJURAIKDg9G/f3+sX78eSUlJWLJkCQYMGID4+PaPD06dOoVnnnkGgwcPJgFo5hwOyQLHC/jmyBXRxpy03hccL+DyrZvTCcLUaKrTJUzs9oyS25pu0disxmOtbRev3dp15yDb14jEM/IYRygOit8SPgIeNmwYSkrEqzFlbW2NuXPn6v6vVqsxePBgrFu3rsPrZ8yYgalTp+qdGz9+PObMmaN37tq1axgyZAgSEhLAcRwJQDPnUGtHgbm/iScAp2z0A8cLCMtsv+eVIEyKygJAZYnmZVY4FpFz5+tNjDe3+IPjBXgnFer/4Mg/mQCMUtZjbUI+KH4rJAu4sbER/fv3x+nTp/XOf/rpp7Cxsenwd4YOHdpOzC1btgxjx47V/V+tVmPKlCnYunUrANxRADY0NKCyslJ35OXl9XoHUhoHA5kA/J+zeKsfr226BI4XEJyhjKK6RC+mMBFQWaJ02RAEpinPX793iQbHC+1b2B3/nAnA0F3yGEYoDhKAEgtAb29vLFy4ELNnz8bnn3+ud3SH/Px89OnTByEh+pt/58+fD2tr6w5/Z8CAAXB2dtY7t3PnTjz44IO6/69duxavv/66bj/JnQSgSqVCnz592h292YGUxv6ATHC8gO+OiicAtasSSgyoRO9CfTUQUFkiY+koxRSBvpk9lzLYFo5bV/DPfcsE4CU7eQwjFAcJQAkF4PLly9GvXz9YW1vj/fffx7Rp0/SO7iCFAIyMjMRDDz2E/Px83c9pBdD82efPBOAPLtGijfn21gBwvIBLqcWijUkQUlB25RSgskTU0ufQ1KK8rhmXUovB8QJe2ein/4MLi5kAvLBYFrsI5UECUEIB+Kc//QlOTk6ijCXFI+AtW7agb9++6N+/v+7o06cP+vXrB47jumQXOZDy0K4g/HgsRrQx390eCI4X4JvccUISQZgK6Z67AZUlQldOltuUHlFUWQ+OF/CorYD6ppa2H1yyYwLw3LfyGUcoCorfEgrABx54ABkZGaKNZ21tjXnz5un+r1arMWTIkNsmgbz77rt65yZMmKBLAiktLUV8fLzeMXjwYPA8j5SUlC7ZRA6kPHb5MQH4s6t4AtBmRxA4XoBXYuGdLyYIGYk8uhJQWSLErntPYUwFjUaDZ1tbL8bl3VR4PWQnE4DHu7e9iOi9UPyWUAAuWLAAK1euFG08FxcXDBw4EI6OjkhKSsLXX38NKysrFBayoDtz5kzY2trqrg8ODsZdd92FjRs3Ijk5GSqVqtMyMFooC9j82eGbDo4XMP+4eAJw+k4mAD0Tros2JkFIQeAetlcufMcXcpvSY/69LxQcL+DY5dy2k1ecmAA88oF8hhGKguK3hALw22+/hZWVFV5++WXMmzcPP/zwg97RE+zt7fHII4/AwsIC1tbWCAsL0/1s0qRJmDVrlt71rq6uGDlyJCwsLDB69OjbFoIGSAD2Bux90sDxAvgTsaKN+c/dweB4Ae5xBaKNSRBS4LvxE0BliRin+XKb0mNWnk8ExwtQnU1oO5lwmgnAg2/JZxihKCh+SygAJ0+e3OkxZcoUqaY1KuRAymObNxOAtifjRBtzxp4QcLyA87H5d76YIGTEZ9VUlgV8TrnZsscjWUu4GXtuSgpM92YCcNeL8hlGKAqK3wqpA2iqkAMpjy1eqeB4AYtOiScAtY+kzkRfE21MghCbFrUGAUsnsjqAQYfkNqfHJOZ30BIuN4IJwC1Py2scoRgofpMANAhyIOWx+SITgEtOd74XtLt8ciAMHC/gVFSeaGMShNjkltUieuk4QGWJlqTbb4cxZRqb1Xh8EWsJl1tWy04WJTMB+MsweY0jFAPFbwkE4PTp07t0mAPkQMpj04UUcLyAZWfEE4CfHgwHxws4HkkCkDBdLqUWI2vpCCaUckLlNscgtLU3dYlXFdfY61rxe0C7KkgQt4HitwQC8LPPPuvSYQ6QAymP9Z7J7TeQG8jnhyJYVmJE7p0vJgiZOByShfJlDzOhVJQstzkG8ZNrDDhewOaLqexEfSV7XSpLoKleXuMIRUDxmx4BGwQ5kPJY584E4MrziaKNOdvxMjhegHN4jmhjEoTYrDoXD/WyQUwkVSm7ZqW2p/dsxwh2Qq1uE4DV1JGHuDMUv0kAGgQ5kPJY65YEjhewxi1JtDG/dmIC8NfQbNHGJAix+c7Bt00kNTfIbY5BRGbfAMcLeH7VxbZEkDWD2WsrFa8BAWG+UPwmAWgQ5EDKY1VrDbG17uIJwP8eiQTHCzgckiXamAQhNrM2HmMJICsfktsUg6lvammfCLJxFBOA+eL1+SbMF4rfJAANghxIeSw/lwCOF2DnId4eqLm/XQHHC3AIuiramAQhJhqNBv9cugNQWaJ5wyi5zRGF9+xZD+6zMa31N+3/wgRgVqC8hhGKgOI3CUCDIAdSHqqzTABuvNC1fs9d4dujUeB4AfsDMkUbkyDEpKS6AR8vXAeoLKHe+Ve5zREF25Nx4HgBGzxb/5b3TWECMMVdXsMIRUDxmwSgQZADKY8lp+PB8QI2abMHReAHl2hwvIC9/rT3iDBNruTcwNyFi5lAcnhHbnNE4UBrIsgcp0h24rANe32xx+Q1jFAEFL8lFIBnz57t8Dh37hwuXryIq1eV/7iMHEh5LDzFVg22eqWJNqa2JMUuPxKAhGlyJvoaFi/6jgmkox/JbY4oBKWXgOMF/G2dDzvh8jF7fRH75TWMUAQUvyUUgH379kW/fv3Qt29fvUN7rl+/fnj55Zdx48YNqUyQHHIg5WF7MhYcL2C7t3gCcMFxNuYO33TRxiQIMdnunQa7RV8ygXTmG7nNEYWahmYMX8gSQSKzbwCn/8teX+BmuU0jFADFbwkFoLe3N8aPHw9vb29UVVWhqqoK3t7emDBhAtzc3BAUFITRo0fjiy++kMoEySEHUh7zj8eILta0e5G2iSgqCUJMfnaNwd7F/2YC6cJiuc0RDW0C1o/HYgD3Bez1ea+Q2yxCAVD8llAAjh49GsHBwe3OBwUF4amnngIAeHl5YejQoVKZIDnkQMpD+7h29yXxHtcuPh2n35WAIEyMGXtC4LK4dY+c/wa5zREN/9TitsfAPqvY63P7WW6zCAVA8VtCAXj33XcjPr59v9W4uDjcfffdAIDs7Gzcc889UpkgOeRAykOKhI1lZ+JFzywmCDH561pveC55pXWP3AG5zRGNyvomcLwAjhdQ67ORvb5Tc+Q2i1AAFL8lFIAvvvgi3nrrLRQXt7XlKS4uxltvvYWXXnoJAFsBHDlypFQmSA45kPKQomSLFLUFCUIs6ptaMMxWQOjS8UwgxZ+Q2yRRecnOFxwvIFXYalZJLoS0UPyWUACmpKRg1KhRsLCwwGOPPYbHHnsMFhYWeOKJJ5Cayh6VnT59Gk5OTlKZIDnkQMpjnnOU6EWbpeguQhBikVFcDY4XkLJsDBNIGT5ymyQq2n29Jw5tZq/P8T25TSIUAMVviesAqtVqeHh4YNu2bdi2bRs8PT2hVqulnNKokAMpj2+OsE3jjsFZoo2p7S+8WkgUbUyCEIuLiYXgeAHFyx9lAunaFblNEhXPhOvgeAEL1v7CXt/eyXKbRCgAit9UCNogyIGUxxwn1rfXKTRbtDHtPJLB8QKWn0sQbUyCEItNF1PB8QIalj/IBFKZ8muw3kxtYzOG2Qr4wHYDe33bn5fbJEIBUPyWWAB6e3tj4cKFmD17Nj7//HO9wxwgB1IeXx2+DI4X8FtYjmhjbrqQAo4XsPRM+6QngpCbj/aHYgR/mokjlSVQVy63SaIz0c4Hb9uyXsfYoNx95YTxoPgtoQBcvnw5+vXrB2tra7z//vuYNm2a3mEOkAMpj9mOEeB4AUfDxROA27zTwPECbE/GiTYmQYhBXWMLRixyx1/4I60CcBBgRttwtMxyCMdE24PsNa5+WG5zCAVA8VtCAfinP/1J0QkeXYEcSHl85hAOjhdw7HKuaGPu9EsHxwv42TVGtDEJQgx8U4rA8QI+WuPIxNEvnNwmScKKc4kYxzu3rXKqW+Q2iTBxKH5LKAAfeOABZGSYd29UciDl8elBJgBPROaJNuY+/0xwvIDvXaJFG5MgxEBbomi3069MGG19Rm6TJOFIWLbZP+YmxIXit4QCcMGCBVi5cqVUw5sE5EDK45MDYeB4AaeixBOADkFXwfEC5v5mXtmVhPJ5d3sgOF5AuOcRs86QjcurAMcLaFz2AHud5eKt8BPmCcVvCQXgt99+CysrK7z88suYN28efvjhB73DHCAHUh7/3hcKjhdwJvqaaGM6hWaD4wXMcYoUbUyCMBS1WoNRS9xZCZgAByaMnMxj//WtaDQavLrpEkqXDWGvs5BKMhG3h+K3hAJw8uTJnR5TpkyRalqjQg6kPP61NwQcL+B8bL5oYzqH54DjBcx2vCzamARhKNmlNeB4ASMXu0Md3Johe9w8KjB0xMHAq8he+jigsoQmJ0xucwgTh+I31QE0CHIg5fHBbiYA3eIKRBvT9XIuOF7ALIdw0cYkCEPRFoB+e2sA4LOaCUDhR7nNkoz6phYkLhsLqCyRG3FWbnMIE4fiNwlAgyAHUh5/3xUMjhfgEX9dtDFPR10Dxwv4eD+tOhCmww5flp3+3dEowO1nJgC9zXtfduKaFwGVJcLOH5DbFMLEofgtsgCcPn267mZOnz79toc5QA6kPKbtDALHC7iYWCjamOdj88HxAmbsCRFtTIIwlO+Osr7XO3zTgROzmQAMtpfbLElJ2vQWoLKEx2E7uU0hTByK3yILwM8++wxVVVW6f9/uMAfIgZSHjT3LivROEk8AesSzXqR/3xUs2pgEYShvbQ0AxwvwSiwEfv07E4BRv8ptlqSk7/4XoLLEsW283KYQJg7Fb4keAWs0GuTk5KCurk6K4U0GciDlMXU7C4q+KUWijemdxPZa2dgHijYmQRhCi1qDEYtZBnBOaS2w7xUmAJMFuU2TlCLn/wIqS+xZ8SU0Go3c5hAmDMVviQSgWq3GgAEDkJaWJsXwJgM5kPJ4u3VVxD+1WLQxL6UWt222JwgTILO4Ghwv4IklHlCrNcC2Z5kAzAqS2zRJafZcAqgssW/xh7haUiO3OYQJQ/FbwiSQp556CqGhoVINbxKQAymPN7f4g+MFBKaViDZmUHoJOF7AG5v9RRuTIAzBLa4AHC/gPe2qtN2jvaM+3qX1gMoSzovfh6uI7R4J84Pit4QC8Ny5c5g4cSLi4+OlmkJ2yIGUx2ubLoHjBQRniCcAwzJLwfECpmz0E21MgjAEO49kcLwA25NxgEYDLP8dE4CV4tW/NElCdwMqS5xf8gb4E7FyW0OYMBS/JRSAVlZWsLCwQL9+/XD33Xfjd7/7nd5hDpADKY9XNvqB4wWEZZaKNmZk9g1wvICX7HxFG5MgDEHb8vBIWDZQX9nWI7fJvPdlI4q1vPNd8hJesvOlfYBEp1D8llAAOjo63vYwB8iBlMfkDUwARmSViTZmbF45OF7AhLXeoo1JED1Fo9Hg2ZUXwfECYnLLgRvZTPytelBu06Qn8SygskTk0hfA8QLSi6rltogwUSh+UyFogyAHUh4v2fmC4wVEZt8QbczE/EpwvIC/rPYSbUyC6ClFlfXgeAGpf6cJAAAgAElEQVSP2gqob2oB8qOZANwwUm7TpCfDF1BZImf1M+B4AXv9M+S2iDBRKH5LLAAzMjKwePFifPjhhygqYmU33N3dkZCQIOW0RoMcSHm8+IsPOF5AVI54AjCtsAocL2DciguijUkQPUWblDR5gx87keHDBODOv8pql1HIiwRUlqheNwocL+Bfe6k4O9ExFL8lFICXLl3CPffcg9deew0WFhbIzMwEAKxbtw7/+Mc/pJrWqJADKY8Ja73B8QJi88pFG1NbcmOMylO0MQmipzgEXQXHC/jy8GV2IuYoE4CHbeQ1zBgUpwIqS7SsfQQcL2D4QjdU1DXJbRVhglD8llAA/vWvf8WmTZsAAPfff79OAIaHh2PIkCFSTWtUyIGUh/UaL3C8gPhrFaKNmVtWq6u5RhByY3syDhwvYL1nMjsRtJUJwJNfyWuYMagsYK91+e/wyga23eN8rJlnPhM9guK3hALwvvvuw9WrVwHoC8CsrCwMHDhQqmmNCjmQ8nh+FROAydfFe88KKurA8QIeX+Qm2pgE0VP+uTsYHC/gTPQ1dsJzERNFnovkNcwYNFTrMp7tzrFeyD+4RMttFWGCUPyWUAAOGTIEwcGsN+rNAvDUqVMYPnx4j8bcsWMHOI7DwIEDYW1tjfDw8Nte7+rqilGjRmHgwIEYM2YM3Nz0A7RKpcKoUaNw7733wsrKCq+++irCwsK6bA85kPIYt+JCa3ZglWhjFlc1gOMFcLxAZScIWdFoNBi7nPl4Qn7rKveJL5koCtomr3HGQKMBVIMAlSUux7NaiM+uvIgWNf1dEvpQ/JZQAP7000+YOHEirl+/jv/7v/9Deno6goKCMHz4cCxfvrzb47m4uMDCwgIODg5ITEzEV199BSsrK11yya0EBwejf//+WL9+PZKSkrBkyRIMGDBArzD1b7/9Bi8vL2RmZiIhIQGzZ8+GpaUliou71iaMHEh5jFF5guMFUdtEldc26gRgc4tatHEJorsUVd2SAQwAju8xARjjIq9xxmLtnwGVJZqKUnV/78vOmG9DAqJnUPyWUAA2Njbiyy+/xF133YW+fftiwIAB6NevHz755BO0tLR0ezxra2vMnTtX93+1Wo3Bgwdj3bp1HV4/Y8YMTJ06Ve/c+PHjMWfOnE7n0DqEt3fX6rmRAymPJ5d6gOMF5JbVijZmdUOzTgDqgi5ByIA2A3jS+puKku8YzwRgRi8pVL7pSfZ6r13Bf36NBMcLeFrlSX+bhB4Uv41QBzA3Nxdubm44duwY0tLSejRGY2Mj+vfvj9OnT+ud//TTT2Fj03Fm29ChQ7Flyxa9c8uWLcPYsWM7nWPDhg0YNGgQSkq61iaMHEh5jFjsDo4XkF8uXkeE+qYWnQCsqqeMQ0I+Dt2aAQwAvwzrHX2AteywZq/3qr/elzP3uAK5LSNMCIrfEgrAFStWoLa2/SpLXV0dVqxY0a2x8vPz0adPH4SE6Nd0mj9/PqytrTv8nQEDBsDZ2Vnv3M6dO/Hgg/rV8M+fP4/77rsPffv2xeDBgxEREdGpHQ0NDaisrNQdeXl5vd6BlMbwhW7geAFFlfWijdncotYFmfLaRtHGJYjusvAUywC282jNAG5ubGsDVyNe+0OTZv+r7PUmCwCANW5J4HgBPx6LkdkwwpQgASihAOzXr1+H+/NKS0vRr1+/bo0lpQCsqalBeno6QkND8cUXX2DYsGGd7itUqVTo06dPu6M3O5CS0Gg0OqFWWt0gybjFVeKNSxDdRZsBfDqqNQO44hoTQyseANS9ZH+q03T2mqN/AwD4pxbrOvU0NveSe0DcERKAEgrAvn37dphM4ePjgz/84Q/dGssYj4C1PP7441i7dm2HP6MVQGVz80pdRa24j2ofX8RWFgsqxHu0TBDd4eYMYF2dy2tXmBja+IS8xhmTk1+z1xy4GQDQ0NyCF1az8k8XEwtlNo4wFUgASiAArays8Lvf/Q79+vXT/Vt7WFpaol+/fvjmm2+6Pa61tTXmzZun+79arcaQIUNumwTy7rvv6p2bMGHCbZNAAGD48OFQqVRdsokcSFncvFevuqFZ1LGfWCJ+cglBdAdtBvCwmzOAUzyYGNrzsrzGGZOLS9lr9rDVnVrU+mh8+TnzaENKGA7FbwkEoKOjIw4dOoS+ffti27ZtcHR01B3Ozs7tHuN2FRcXFwwcOBCOjo5ISkrC119/DSsrKxQWsm90M2fOhK1t2x98cHAw7rrrLmzcuBHJyclQqVR6ZWBqamqwcOFChIaGIjs7G5GRkfj8888xcODALvcqJgdSFjUSZutqy01kFleLOi5BdJXg1gzgl2/OAL5ymImhI/+UzzBjE7KDvWbXz3SnzkRfA8cLeM8+UEbDCFOC4rfEvYCbm8VdZbG3t8cjjzwCCwsLWFtb6xVtnjRpEmbNmqV3vaurK0aOHAkLCwuMHj1arxB0fX09pk+fjsGDB8PCwgIPP/wwbGxsbpsEcivkQMqioq5JJwCbRK7X9+zKi+B4AamF4hWYJojuoM0Anu14Uwaw/3omhs50/6mLYok7zl6zwzu6U9p2jY8tdKNyMAQAit+AQpJATBVyIGVRVtNWsFktcmeAv7TuMdJ1XyAII7Po1gxgAHD7mYkh7+5VXlA0VwPYa97+nO6URqPR/Y1GZJXJaBxhKlD8ljgJpCMBmJ+fj7vvvluqaY0KOZCyuLlLgthMWOsNjhcQm1cu+tgE0RU+2B0CjhdwKiqv7eSxmUwMhe2RzzBjU5LGXvPaP+ud/u8RVhR64ak4mQwjTAmK3xIIwG3btmHbtm3o168f1qxZo/v/tm3bsHnzZkybNg3jxo0Te1pZIAdSFgUVdeB4ASMWuYs+9kt2vuB4AZHZN0QfmyDuhEajwTMrbskABoCDbzIxlHBKPuOMTX1lW+3DxrakrLDMUnC8gMcXuVGyFkHxGxIIwGHDhmHYsGHo27cvhg4dqvv/sGHDMHLkSLzxxht6e/eUDDmQstDuA3piiYfoY0/Z6AeOFxCW2UuK7RImRWphFftys9hdf4/btnFMCGUHy2ecsdFogFUPsddddlXvRx/vDwPHC1hwPFYm4whTgeK3hI+AJ0+ejBs3zHs1hBxIWWSV1IDjBYxZ5in62G9s9gfHCwhK71obQYIQE20CyMyD4fo/WDOYCaHSDHkMk4utY9nrzgnVO305qwwcL2DUEnc0NFMySG+G4rcRegGbM+RAyiK9qBocL+CZFRdEH/udbQHgeAF+KR13kSEIKZl/PAYcL2DThZS2kw3VbY9CG3pZdvqB11sffes3D9BoNHh+FUsGCcmg1freDMVviQVgXl4edu7cCZ7n8cMPP+gd5gA5kLJIuc4ekz2/6qLoY9vsCALHC/CiTgOEDGj9zy2uoO1kWSYTQav/xB6L9iZcPmlNftnb7kffHY1qny1N9DoofksoAL29vXHvvfdizJgxuOuuuzBu3DhYWVlh0KBBmDJlilTTGhVyIGWRkF8BjhdgvcZL9LG1PVjdbw7ABGEktHUo9coQ5YQxEbTlafkMk4vblL/RFoV+WuWJrJIaGYwjTAGK3xIKwBdeeAHLli0DANx///3IzMxEdXU1bGxssGvXLqmmNSrkQMoiNq8cHC/gb+t8RB/7o/2h4HgBZ6KviT42QdyO6ps63FTW39TjOvEsE0H7X5PPOLm4TQHshuYWvLrpEjhewPSdQdD0ttVRAgDFb0BCAXj//fcjI4NtPLaystK1V4uJiQHHcVJNa1TIgZTFlZwb4HgBE+3EF4CzHMLB8QKOXc4VfWyCuB1av263tSF8HxNBRz+SxzA5ueLEXvuv/+jwxwUVdRi52L192Ryi10DxW0IB+NBDDyEpKQkA8OSTT+Ls2bMAmAC87777pJrWqJADKYuI1gzAyRv8RB/7q8OXwfECjoRliz42QdyOff6Z7VvAAYDPaiaCzpvHnutukXqBvfbdEzu9RPs3u907zYiGEaYCxW8JBeD777+Pffv2AQB++uknPP7441i9ejWee+45vPrqq1JNa1TIgZRFSAYrBPvqpkuijz33tyvgeAEOQVfvfDFBiMgcJ9bhYvelW0q9nP0fE0F+v8hjmJwUxLDXvmFEp5c4h+foHgMTvQ+K3xIKwMzMTMTGsmKbNTU1mDNnDp5++mn8/e9/R3a2eaySkAMpi8C0EnC8gDe3+Is+9g/HosHxAvbcGoQJQkJu2+P2t38xEXTZQR7j5KTqOnvty60Adcf1/rSdgThewA7fdCMbSMgNxW+qA2gQ5EDK4lJqMThewDvbAkQf2/ZkLD1OIoxOTmmtrr2ZXgcQANg7mYmgZDd5jJMTdQsTfypLoKrz0kzvbg/UicDk6/Q53pug+C2hAIyIiOiw5VtYWBguX77cwW8oD3IgZeGTXAiOF2BjHyj62MvOxIPjBWy8uRAvQUjMqag8cLyAaR09xtz0FBNAeZHGN8wU2DCCvf6CmE4v0baHpFXA3gfFb4nLwBw/frzd+ZMnT8La2lqqaY0KOZCyuJBwXbI9P6vOJ4LjBax1SxJ9bILojMWn48DxAladT9T/gUYDrPwDE0DlvTQzffeL7PWn3b7wuzaJZo5TLxXKvRSK3xIKwPvuuw+ZmZntzl+9ehX333+/VNMaFXIgZeEeVwCOF/DB7hDRx7bzSAbHC1h+LkH0sQmiM97c4t9xAfK6G21t4Jrq5TFObn79B3v9V5xue1loZqlk9UEJ04Xit4QC8IEHHkBISPtAGxwcDCsrK6mmNSrkQMriXEw+OF7Ah3tD73xxN9nilQqOF7DoVJzoYxNER1TVN2GYLXt8WVR5i8grTmHiZ91QeYwzBU5/w+6B/4bbXlZV36R7DEydQXoPFL8lFIAffvghJk2ahIqKtiKb5eXlmDRpEj744AOppjUq5EDK4nQUawH1yYH2e1MNZadfOjhewM+une83IggxCUgr7ryw+VV/Jn7s/2J8w0wF7xXsHrj9fMdL/7U3BBwv4O2tAWhRU2eQ3gDFbwkF4LVr1zB8+HAMGjQIkydPxuTJk2FlZYVRo0YhN9c89qSQAymL45Fsw/wsh3DRx94fwPYRfXs0SvSxCaIjtKvO33XkczEuTPwcmmp8w0yFsD3sHrh8csdLs0pq8LTKExwvwCux86xhwnyg+C1xGZiamhrs3bsX33zzDX766SccPnwYTU1Nd/5FhUAOpCxcInJaOyZEiD724ZAscLyA//xKG8kJ4/DJgTBwvACn0A7qqvqta+2FO9f4hpkKCafZPTjwRpcu12by256MldgwwhSg+E11AA2CHEhZHAnLBscL+NpJ/DJER8OlE5cEcSstag1GL2MrVon5HXz+nPyKiZ+ATcY3zlTICWX3YOvYLl2urRP6wmovaDT0GNjcofgtoQB0dHSEIAi6/8+fPx+DBg3ChAkTqBMIIQvaVbpvjlwRfeyTV/Ik219IELeSVFAJjhcweplnx3vW9r/GxE/CKeMbZyqUZbJ7sPpPrCzOHWhobsGTSz3A8QIS8ivueD2hbCh+SygAR44cCR8ftjk5JCQE99xzD/bu3Yv33nsP06dPl2pao0IOpCwOBl4Fxwv4n7P4+/TOx7IM4xl7xC8xQxC34tT6ZabTLxx2w+9YBNnsaaxpK4VT37XP6C8PXwbHC1CdpXJO5g7FbwkF4D333IOcnBwAwIIFCzBz5kwAQEJCAv7whz9INa1RIQdSFtqCrz+4RIs+trbIdIcdGQhCZD7eH9Z594r6ym4LH7NlzRB2H0q61uUjKJ31Cx+52B0l1Q0SG0fICcVvCQXgH//4R0RFsZWWcePGwcmJFePMyMjAfffdJ9W0RoUcSFns8suQrFSLb0qRZH2GCeJmGppbMGKROzheQEZxdfsLCmKY6LEbbnzjTI3tz7F7kdW19o8ajQY2O4J0+3nVVBLGbKH4LaEA/Oijj/Dcc89h9uzZuPfee1FaWgoAOHv2LEaPHi3VtEaFHEhZ2PukSZblF9y6cvDapkuij00QNxOZfQMcL+DZlRc7TlbQZr/uf9X4xpkaDu+wexHXvi1pZ2hX87WF3UkEmicUvyUUgOXl5Zg7dy5sbGzg4eGhO79s2TKsXr1aqmmNCjmQstDWTVt8WvxuHZezysDxAiat9xV9bIK4GW3NydmOnWSzB2xioufEl8Y1zBRx/Yzdi5CdXf4VjUaD5ecSdCLwaHiOhAYSckHxm8rAGAQ5kLLYeCFFsg3esXnl4HgBE9Z6iz42QdzMf49EguMF7PTrZF/b2XlM9PiuNa5hpoiHLbsXF5d2+1e1Tww4XsDlrDIJjCPkhOI3CUCDIAdSFr94JIPjBaw8nyj62MnXWVmO51ddFH1sgriZ8Wu8wfECQjNLO77g0FQmemKOGtcwUyRwM7sXp+Z0+1eLqup1ArDTeouEYqH4TQLQIMiBlMUatyRwvIC1bkmij51ZXA2OFzBG5Sn62AShJb+8DhwvYPhCN9Q2Nnd80aanmOjJFb/loeKIdmb34vD7Pfr1+cdjdAKQP0EdQswJit8kAA2CHEhZrDiXCI4XYOeRLPrYuWW1uvIRBCEVp6OugeMFTN3eSbZ5Uz2gGsRET3WxcY0zRdK92b3YOaHHQ0S07u99bKEbCivrRTSOkBOK3yQADYIcSFloe31uvJAi+thFlexx0aO2wp0vJogeMsshHBwvYINnJz5cnMIEz5ohXep+YfYUJrSWxHm0x0NoNBq8vvkSOF7Ae/aBHXdeIRQHxW8jCcCSkhIIgoCzZ8+ioKDAGFMaBXIgZbHoVBw4XsAWr1TRxy6vbdQ9KmpuUYs+PkEUVNThUVvmY1dLajq+KMWDCZ7dLxrXOFOlprStKHZzY4+Hic4tx8jFrPZiYFqJiAYSckHx2wgC8MSJExg0aBBeeOEFjBs3Dvfccw8cHBykntYokAMpC/5ELDhegL1Pmuhj1zY26wRgp3uzCMIAZh5kq3//2BXc+UUhO5nYOTbTeIaZMmo1sOIBdk8qrhk0lPYL5I/HenF7PTOC4rcEArC6Wr8y/dNPP43U1LYVF0EQ8PDDD4s9rSyQAymLn1zZhu5dfhmij92i1ugE4I2anq80EERHaIs/c7yA4IzbrEC5/dxa9mSZ8YwzdTY9ye7JtUiDhtHW+nzUVoBXYqFIxhFyQfFbAgE4cuRInDlzRvf/Z599FoGBbW14Dh48CI7jxJ5WFsiBlMX3LtHgeAH7/DMlGV/bniu/vE6S8Yney2zHCHC8gAXH75CJ+uvfmdiJdDSOYUpg7yR2T5IN25+r0Wh0XyIftaXagEqH4rcEAjArKwvvvPMOpk2bhvz8fAQEBGDw4MF46KGH8Pvf/x5//OMf4ebmJva0skAOpCzm/nYFHC/gUNBVScYfo/IExwvI7Kg/K0H0kJLqBgxr3fvXYe/fm9n2LBM7V/2NY5wSODGb3ZNL6w0eqrFZjc8PMTE+97crIhhHyAXFbwn3ADo7O+Pxxx/H9u3bUVdXh7i4OERHR6O+3nzS6MmBlMXXTpfB8QKOhGVLMv4Lq73A8QIS8iskGZ/onRyPzLt96RctLc037XfLM45xSiB0F7snv/1LlOHir1XoysJQcWjlQvFb4iSQ8vJyzJ49G9bW1oiJMb+Ns+RAyuKz1hIaxy7nSjL+y+t9wfECIrPp0RAhHtrWb5vuVL7oRhYTOiv/yJIfCEZuOLsv6x8XpTSORqPBR/tDwfEC3toagCbK+lckFL8lEoBubm7YuHEjvLy8AACXLl3C6NGj8fPPP6Ouznz2R5EDKYuP94eB4wWcjjIsG7Az3tjsD44XEJROZSIIcSiqrMeI1vIjcXl3WFnO8GFCx/4vxjFOKTTVta2Mlovz5a+0ugHPrLgAjhewP0CaPcWEtFD8lkAA/vjjj3jwwQfxr3/9C8OHD8fKlSsBAI2NjViyZAlGjRoFd3fz6JZADqQsPtgTAo4XIMRKU4vSZkcQOJ4yBAlxUKs1mL6T+ZSNfSA0d1q9itjf+qhzhnEMVBK7J7J7k3BatCFdInLA8QLGrbiAmgYq/aQ0KH5LIAAfeOABREaydPuysjKMGDFC7+eJiYmYOHGi2NPKAjmQspjWGkwvSiTQZrQKzHMx+ZKMT/QuQjNLwfECnljigaSCLnzGuPNM5Hgukt44pXHuu9byOEtFG7K5RY3JG/zA8QJ+OBZNBeAVBsVvCQTg0KFDcfz4cQBATEwMnn76adHG3rFjBziOw8CBA2FtbY3w8Ns3O3d1dcWoUaMwcOBAjBkzRi/7uKmpCQsWLMCYMWNw77334uGHH8bMmTORn9/14E0OpCymbg8AxwvwSymSZHxtmy5XifYYEr2LTRdTwfEC/ucc1bVfcJreWgLmkKR2KZIrTuzeHJoq6rBnoq/p6jOuOp+I4IwSNDaTEFQCFL8lEIBHjhzBPffcg4cffhiDBg3SqwloCC4uLrCwsICDgwMSExPx1VdfwcrKCkVFHQfz4OBg9O/fH+vXr0dSUhKWLFmCAQMGID4+HgBQUVGB1157DceOHUNKSgpCQ0NhbW2N559/vss2kQMpC+0evWCJ9uj951e2Wd8pJEuS8YneQ3ltI8a17jHrctLSljFM5GQFSWucEilMbO2RPBhQt4g69KYLKToRyPECPtgTQokhCoDit0RJIKWlpYiIiEB5ebloY1pbW2Pu3Lm6/6vVagwePBjr1q3r8PoZM2Zg6lT9b3vjx4/HnDlzOp0jIiICffr0QU5OTpdsIgdSFtrHNRESFXCVutA00TvQaDS6zN/XN1/qmphoqgNUg5jIqZZmhVvRqFuA1Q+z+1OUJOrQzS1q/G2dj54IPBAoTa1RQjwofhuhF7AYNDY2on///jh9Wn8D76effgobG5sOf2fo0KHYsmWL3rlly5Zh7Nixnc7j5eWFvn37dtkhyIGUhfZDOjpXvC8mN2N7kvUK3eYtfq9hovcQmV2mExJhmaVd+6XCBCZu1g0VpdSJWeLwNrtHUUdEHzq1sArO4TnYfSlD9969sdkfB0kImiwUvxUiAPPz89GnTx+EhITonZ8/fz6sra07/J0BAwbA2dlZ79zOnTvx4IMPdnh9fX09nnvuOXz00Ued2tHQ0IDKykrdkZeX1+sdSElIXah5+bkEcLyAXzySJRmf6B2sFhLB8QLmdXXvH8CyW1WWwL5XpDNM6VxYzO7R+R8km6JFrcGXhy/rrQY6BmdJNh/Rc0gAkgAEwBJC3nvvPTz77LO3dQaVSoU+ffq0O3qzAykJ7Z6q9KIqSca380gGxwtYfi5BkvEJ80ej0WCiHVup9ojvRrmiS+uZuDnV+RaXXk/CKXaP9rws6TSNzWqcib6m+8I5YpE7iqrMpwOWuUACUCECUMpHwE1NTZg2bRrGjh2L0tLbP26hFUBlM3oZ69WbXVojyfjbvdPA8QJsT8ZKMj5h/iTkszZjo5a4o7axG7XlTn7FxI3/BumMUzrlOewerXgAaJJekGk0Gry7PZAlhoVK036S6DkkABUiAAGWBDJv3jzd/9VqNYYMGXLbJJB3331X79yECRP0kkC04m/06NEoLi7utk3kQMpC21Ehv1yabjT7/DPB8QK+d4mWZHzC/NFmlH7tdLl7v7h3MhM3iWelMcwc0GgAu+HsPuVGGGVKe580XS3H+GvUI9yUoPitIAHo4uKCgQMHwtHREUlJSfj6669hZWWFwkJW1HfmzJmwtbXVXR8cHIy77roLGzduRHJyMlQqlV4ZmKamJtjY2ODPf/4zYmJicP36dd3R2NjYJZvIgZSDRqPR7ckprmqQZA6n0GxwvIA5TpGSjE+YP69vvgSOF3AqKq/rv6TRAGv/LEmGq9lx5AN2n8L2GGW6itomWK9hj4I/2h9qlDmJrkHxW0ECEADs7e3xyCOPwMLCAtbW1ggLC9P9bNKkSZg1a5be9a6urhg5ciQsLCwwevRovULQWVlZHe7n69OnD/z8/LpkDzmQcmhqUesEYEVtkyRzuF7OBccL+PTg7QuUE0RHZBRXg+MFPLbQDRV13fDRqutM1Cy3Apql+XJjNvj9wu7Vya+MNmXejVo8ttANHC9AdTZBsi+gRPeg+K0wAWhqkAMph9rGZp0A7Nbeqm5wPjYfHC9gxp6QO19MELew0y8dHC/gkwNhd774Zq4GMFGztfMSV0QraV7sXm1/zqjTaktEcbyACWu9UVUvzZdQoutQ/CYBaBDkQMqhorZJ9wEsVc9O76RCcLwAG/tAScYnzBsbe5Yw8Gt3EwYuH2Si5sg/pTHMnKgtY/dKZQnU3TDatNfK6/CX1qxgjhcw97cr0FC9Rlmh+E0C0CDIgZRDcVUDOF7AMFtBsg/e4IwScLyAVzddkmR8wny5Vl6n889ulwzxWMgEjcdCaYwzN7aOZfcr3cuo07aoNbiYWKgTgeNWXMCZ6GtGtYFog+I3CUCDIAdSDtoAO2Kxu2RzxOSW6x7xEER3WHGOFX/+YHcPtg/8+g8maC4fFN8wc+TsPHa/XGcZfWqNRqP3OJjjBcoOlgmK3yQADYIcSDlkldSA4wWMXuYp2RzpRWwT/9Mq6eYgzI+8G7UY3pok0K3iz1q0K1pXA8Q3zhy5Ht+WNHMjSxYT8lu/kGqPbj/2JwyG4jcJQIMgB1IOaYVVuscuUnG9oh4cL2D4Qjfa30N0mSNhrHzQP3cHd/+XmxuYkFFZAlWF4htnrjhNY/fMnZfNhLDMUl3XlyeWeKCokrqFGBOK3yQADYIcSDloOyxYr5Fu309VfVuiSX1Ti2TzEOZDbWMz3tziD44XsOliavcHKEpiQmbtn1k9QKJrpHuz+7b6YaMmg9yKRqPBtJ1B4HgBL6z2kqxIPdEeit8kAA2CHEg5RLfuz3vxFx/J5lCr24pNl1RTrS/izmi7xzyxxKNnwT/xLBMyeyeLb5w5o9EAOyewexe4WVZTQjNL9R4Hf+8STckhRoDiNwlAgyAHUg4RWWXgeAFTNvhJOs+TSz0k7TdMmLM6TC4AACAASURBVBcf7g0FxwvY65/RswE8FzERc2auuIb1BqJ/Y/du4yiguWvdn6TiWEQupmzw0xOC79kH4lRUHtRqWtmVAorfJAANghxIOQSlsxItb2z2l3Qeba2vxHzyCeL2tKg1GKPyNMxfdr/IREzccXGN6w00NwIbRrL7F+0stzUormrAGrckPN3qE9rjaZUnbHYEobxWXpFqblD8JgFoEORAysE3pQgcL2DqdmkzJSe3fouPyCqTdB5C2fgkt9WDe3yRGxqbe1CcvKakrahxdZH4RvYGAjax+7dzgsnsoaxpaMYcp0hMWu+LEYvc9cTg33cFI6e0FhqNBi20MmgQFL9JABoEOZByuJBwHRwvYNrOIEnneWdbADhegG8KBWSic7R+wvECvna63LNB4k+0iReiZ9TdYIkgKksgQ7r9wT2lqKpet0/05mPKRj+MWuKO6NxyuU1ULBS/SQAaBDmQchBiC4zSp/eDPSHgeAHnY/MlnYdQLtmlNbpAvuJcYvc7f2jRFjSmDiCG4Taf3UfnD+W2pFN2X8poJwK1x7Iz8ahukKa/uTlD8ZsEoEGQAymH01HXwPECPjkQJuk8nx+KAMcLcInIkXQeQpnUN7XAZkeQOL645WkmXFKlq23ZKyhJaysMXW66f7dqtQbHI/PwxBKPdiJwjVuS3OYpDorfJAANghxIORyLyAXHC/jMIVzSeeY5R4HjBRwMvCrpPISyaFFr8NH+UF3AHrnY3bAWYGVXmWhZ8QDQUC2eob0Vx/fY/fReIbcld6S+qQUFFXXYH9D2aHjKBj8qPt9NKH6TADQIciDl4BSSBY4XMMcpUtJ5bE/GguMFbPdOk3QeQlm4xRXordgcu5xr2ICXHZhgOfimOAb2drT1FNc/xrqrKITK+iaMXMwSRWzsA3EuhraedBWK3yQADYIcSDlovy1/dzRK0nlWnU8ExwtY606PZIg23m997PvKRj84hWQZXtvt2KdMsPitE8fA3k5LM6sHqMCSOvY+abovFsMXuiEuz4CV5V4ExW8SgAZBDqQctB+S/IlYSefZ6sXmsT0ZJ+k8hHKIy6vQlXsprhJhdUmtBn4ZxsRKTqjh4xEMv18Uuaqq0WhwNDxHJwKl3uZiLlD8JgFoEORAymGDZ4ouY05KDgVdBccL+ObIFUnnIZSBRqPBx/vDwPECvhVr9bkghgmVNYOBliZxxiSAygK2p1JlCVyX9nNCCq6WsOzyR20F7PBNxz7/TOzwTYdXYiHtD+wAit8kAA2CHEg5rBZaH81KnC13KioPHC/g4/3SZhsTysA3mRUgH7HIXbz2gMJPJl+2RLFoH62f/15uS3rEzYlGNx/j13gjKL1EbvNMCorfJAANghxIOSw5HQ+OF7DpYqqk82g7PLy7PVDSeQjTR6PR6Pb+iVamo6oQWPlHJlKuStvWsFdyNYDd29UPA/XK+1zPu1GLWQ7hGKPyxCcHwvDKRv3+wiev5MltoslA8ZsEoEGQAymHn11jwPHs0YiURGaXgeMFTLQzva4ChHG5nMV8YcRid3H2/gHAxWVMoOx/1WRal5kVGg1g/wK7x+H75LbGYDQaDfgTsToB+NRSDwSm0UogQPEbIAFoEORAyuF/rfX5Dkhcny+9qErXwJ3o3XztdBkcL2DBcZESj+puAGuGMHGS4i7OmER7Qnaye3xoqtyWiEZzixof7mWPh8cuv4DaRuocQvGbBKBBkAMph68Os2B8JCxb0nmKqurB8QKG2QqGl/ogFEtWSQ2G2bJVl7TCKnEGvWTX1vtXrRZnTKI9pRmtRbZ/b1ZFtmsbm2G9xgscL+CdbQFIL6pCSy/+jKL4TQLQIMiBlMPMg+HgeAHHI6XdA9PQ3KJ73FJRSxmavRXbk3HgeAGzDCnJcT0e2DcF2DIGcHgbWDtUkXXqFIdG09ZmL8VDbmtE5XhkXrsEkXe3B2KWQzg84q/LbZ5RofhNAtAgyIGUw4w9IeB4Aedjpa+Ur+3VmVNaK/lchOlx8kpbkO1x5mWqJyvzorLUP7aNA9Qt4hpMtOf89+x+u/0styWiE51bjn/uDu4wW/hQUO9pYUnxmwSgQZADKQeb1mxMr8RCyecav8YbHC9QRf5eSH1TC15Y7WVYyaHwfcByKyZAHN8FsgLZql+wPVAsbRY70UrS+VbB/azclkhCY7Ma7nEFCEgrxvJzCRi9zFMnArd6pcE3pQjRueWoqjffpxgUv0kAGgQ5kHJ4c4s/OF5AQFqx5HO9sZnNRdl2vQ+H1kLgf1vng8bmHuzTqy4Glv+OiY+z/6NCz3JRX9lWFPpGltzWSI5Go9G1sbz5eHblRaN8aZYDit8kAA2CHEg5TN7A6mFFZJVJPpf2cfOZ6GuSz0WYDjdqGnWrf7+F5fRskKRzTHTsGE9lXuTm4FvsvYg4ILclRkGj0WDRqbgOHw1zvIATEu+fNjYUv0kAGgQ5kHL461rjPZad+9sVo5ScIeSluUWN/QGZWOeejB2+6Ri1xB0cL+Dl9b49W/0DAM9FTHSc+05cY4nu47+BvRdHP5LbEqOh0WhQUt2A6oZmFFXWY+mZeJ0AHGYr4H/OUXCLK5DbTFGg+E0C0CDIgZTDuBUXwPECUsUqyXEblp9LAMcLWOeeLPlchHxs905rt0oyRuVpmI/tf5WJjpij4hlK9Iz8qNaey0N69aN4/9Ri3RYac+ooQvGbBKBBkAMpB2Nm5u70SwfHC/jxWIzkcxHyEJxRgscWuukC4vCFbvjuaBRSrhsg/prqWO05lSVQlimesUTPUKsBu+Hs/cgKktsaWaltbMY72wL0ROD7O4Kwwzcd9U3KzEqn+E0C0CDIgZSBRqPBo61FeYsq6yWfz/VyLjhewMyDBtSAIzqkorYJ79kHYqKdD3xTiow+f0ZxNWY5hOuC4H9+jYRGo0FDswhBMDuYiY31j9P+P1PhxGz2nnivkNsS2WlqUaOsphH/PRKpJwRfWO1llCcrYkPxmwSgQZADKYPGZrVRizP7pRSB4wW8vTVA8rl6G1u8UvVW3fxTpc/q1pKYX6nbSsDxAmx2BKG8tlG8CQI2MbHh8rF4YxKGEe3M3pM9L8tticlQ39Si2+d88/GPXcG4WlIjt3ldhuI3CUCDIAdSBpX1TboPKWM8rkjIrwDHC/jLai/J5+pt3PoYiuMFTNsZhIR86ZJ7mlvU7VY9fvFIRk2DyP1Uf5vBxEawvbjjEj2nqrC1CPcgoIbKOt1KTmktHl/kpve3MfNguFGetBgKxW8SgAZBDqQMiqsadFlsGiM8WiuqZP2AH7UVenWvTbGpbWzWPcrPKqnB/5yjdPvw3tziL9m8bnEFem2z8svrxJ9ErQZ+4ZjYyLss/vhEz9n1IntfYl3ltsQkOXklD58cCMOTSz10fyevbPTDjRoRV8clgOI3CUCDIAdSBrllteB4AaOWuBtlvuYWNYa1CpXiqgajzNkbCM0sBccLGL/GW3cu70Zt2yNZ+8Cel1+5DbMdI8DxAv6+K1icvX4dUZzCRMaqB4Fm0w6cvY6LS9l7c2qO3JaYPJHZZfhLay3MMcs8EX5V+rqrPYXiNwlAgyAHUgZphVXgeAHPrLhgtDmfX3URHC8gMZ98Qyx2+LLs6m+OXNE7P885SicCe1yAuQOKqxow82Bbwkd6kYQb3a8cZiLD4W3p5iB6xtUA9t6sHQo0Un/vOxGZfQMTWuuuvviLD7JLTXNfIMVvEoAGQQ6kDKJybujacxkLbd0sYyYpmDtfHGIrcfsD9Euk1DW2YPpO1ut5op2PaHvzbt7obrND4jIgp79hIsNrubTzEN1HrQa2jmXvT9SvclujCKobmvG3dT7geAFPLPHAJRP8HKT4TQLQIMiBlEFQegk4XsAbm6XbJ3YrnxwIM8v2SXJR29iMp1WsYX1Uzo12P69paNa1YbtVIHaHusYWBKeX4JsjbeLve5doZBRXG2L+ndn+HBMYqZ7SzkP0jMAt7P3ZO1luSxRDblmtri0mxwuG1ciUAIrfJAANghxIGVxIuK7LFjUWPx6LAccL2OGbbrQ5zY28G7VQtybROIfn6Fb4mls63ud3OCTLoL6lGo0G01pXErXH/ONGKOZdW9aaaWrJ/k2YHjUlwMo/sPcoP0puaxRDfVOL7nGwtjKCEFsAjUaDukb9/bTpRVWIzDae/1P8JgFoEORAyuBUVB44XsDH+8OMNucGzxRwvIAlp+ONNqc5UNPQjOjccqx1SwLHC3jJzldvFWGnX+eCuqahGS+v99Vd+/mhCKQX3XnlrqlFjeTrlXht0yXd736wOwRr3ZPQ1InYFJXUC0xYbH9O+rmInqMtCn12ntyWKAr/1GK8sbmtldyjtgImb/DDYwvdMNsxAotPx0F1NkGXOPfvfaEITJO+5A7FbxKABkEOpAx+Dc0Gxwv42sl45TWOhLE5ZztSSY+ucrWkBs+tvNiuzt/NR27Z7Tfh1zY24/0d+qt4sxzCscEzBfOPx2D0Mk8sOB6rW0VsbFbjw72hetcfu5xrjJfbhs+q1izT/xh3XqJ7aDu1rP4TUC9d3Ulz5XpFvd4XtDsdH+8Pk7TDCMVvBQnAHTt2gOM4DBw4ENbW1ggPv32bLVdXV4waNQoDBw7EmDFj4ObmpvfzkydP4vXXX8cDDzyAPn36IDo6uts2kQMpg73+GeB4AT+4dP897ik+yYXgeAHvbKNuIJ3R0NyCphY1QjNLEZpZilc2+uk+/F/ddAnfHLmC1UIi1rgl4dujUdjrn9GlcTOLq/HP3cG3DS6fHAjTlavQHqOWuCP5ugx/y4dtmLCIOGD8uYmuo9EAO8az9ypsr9zWKJKiynosP5eALV6p8Igv0CV2aZ+WLDgei5GL3fW6/RyPzJPk0TDFb4UIQBcXF1hYWMDBwQGJiYn46quvYGVlhaKijnuBBgcHo3///li/fj2SkpKwZMkSDBgwAPHxbY/jnJycsGLFCuzfv58EoJmz6SJrH7b4dJzR5kwqqATHC3hu5UWjzWnq1DY2Y9OFlA7bSGmPF1Z7oahKnC4CuWW1eGWjny4bUftIWVtMWnuMWeaJ1UKi9IkeHaFuAdYMYaLiuvH8k+ghYXvZe7XDmvo1i0RmcTV8kgv1ivT7pRRhTGvSl/Z48Rcf+KcWo6S6AWU1jWhsVqOiruetPSl+K0QAWltbY+7cubr/q9VqDB48GOvWrevw+hkzZmDq1Kl658aPH485c9oX8szKyiIBaOasOp8Ijhew1i3JaHOW1zbqPriM0X7OlKlvakH8tQpdQeWOjudXXcRLdr6SbQL3iL+Ovf4ZaGpR42xMPqZuD8D+gEwEp5egsl76/tCdUpjY+ljxYaBF5NZyhPjUV7BHwCpL9kiYkIyrJTV4ffOlDj8vHrUV8NhCNwxf6Ib/OUfhTPQ1pBdVwSk0u8ultyh+K0AANjY2on///jh9+rTe+U8//RQ2NjYd/s7QoUOxZcsWvXPLli3D2LFj213bHQHY0NCAyspK3ZGXl9frHUgJ2J6MA8cL2OadZrQ5NRoNnljCWiMpqUG62DQ2q9t9iH+8PwwT7XwwfWcQVp5PRFxeL95PFXmIiYlDU+94KWEinJ3H3rPjX8htidnTotYgIb8CK84lYsQi906/QN568CdicTGxELv8MmB7Mq7D9o0kABUgAPPz89GnTx+EhITonZ8/fz6sra07/J0BAwbA2dlZ79zOnTvx4IMPtru2OwJQpVKhT58+7Y7e7EBK4H+tnSIMqQ/XE97eGgCOF+ARX2DUeU0Jp5tKs9jYB8InuVBuk0yLM1QAWnHkR7H3bMXvgarrclvTa2hobsHJK3mIv1aBnNJaXEotRlB6Cb48fBlP3dSHuKPjuZUX8dH+UMxxisTBwKs4EpaN0OTcXh+/SQDSCqDZo3306BwuXpuwrsCfiAXHC7DzSDbqvKZAZX0TDgZe1X0AHw7Jktsk08T+BSYmUozTp5oQiQOvs/ft4lK5LSFaicq5gfSial0JqRGL3PX2/956DP3etdfHb5MXgKb0CPhWaAlZGWjLfJyNyTfqvNpSMJ8cMF79QVMgtbBKV9OL41kHlsZmI9TTUxp15W0FoKtNr1UWcRtSPNj7tmYwUNe+Mw0hL3k3anVJJZX1TTh5JQ/O4TlYdT4RH+8Pw+OL3EgAQgECEGBJIPPmtRXfVKvVGDJkyG2TQN599129cxMmTKAkkF7Ke/aB4HgB3knGffwYl1cBjhcwdvkFvQw3c+fbo1F6xZir5EyyMGXSvZmI2PqM3JYQ3UWjAXb9jb1/l+zktoboJiXVDTjgk9Dr47ciBKCLiwsGDhwIR0dHJCUl4euvv4aVlRUKC1lAnzlzJmxtbXXXBwcH46677sLGjRuRnJwMlUrVrgxMWVkZoqOj4ebmhj59+sDFxQXR0dG4fr3rezpIACoDbX25kIxSo87b0Nyi27icU3r7AsZKp6KuCT8ci8boZW2lG7wSab/fbfFbxwTEiS/ltoToCXHH2fv3yzCgsfcmeikVit8KEYAAYG9vj0ceeQQWFhawtrZGWFjbY7VJkyZh1qxZete7urpi5MiRsLCwwOjRo9sVgj506FCHCR0qlarLNpEDKYPxa1gvyti8cqPPbdO6+ng66prR5xYbjUaDpIJKfHn4MmzsA+GbUgTH4Cx8ezSqXYbed0epX+od2TeFCYjwfXJbQvSElma2equyBEJ2ym0N0U0ofitIAJoi5EDKQFuOJbvU+N/SVwusBuGC47FGn1tM/FOL8dhCty6VYPj3vlDUNFBNu9tSENuWSVrdcUF7QgFoy/hsfAJobpDbGqIbUPwmAWgQ5ECmT0Nzi06YVNQafy+atiXcS3a+Rp9bLJIKKvXaM918DF/ohn/sCsbJK3loaG7pVXsdDeL890w4uH4mtyWEITQ3ABtHsfcy0lFua4huQPGbBKBBkAOZPkVV9eB4AcNsBajVxhcnVfVNGN66cnatg2Kkpkx1QzO2e6dhRKv4e/EXH5yNyUd6URXqm1oQllna67uc9IiGKpY9qrIErlKvaMUTsoO9l9vGsdZ+hCKg+E0C0CDIgUyftMIqXSauXLy/IwgcL+B4ZJ5sNnSX7NIaWK/x0q30vWcfiOsV4vTo7fVcPsgEw/bnqZ+sOdBQzRJBVJZAzFG5rSG6CMVvEoAGQQ5k+lzOKgPHC3h5vXyPYH/xSAbHC/jhWPdLDclBQ3MLZuwJ0Ym/9Z7JVMdPLDQaYNeLrYkDO+S2hhCLgE3sPV3/OKvvSJg8FL9JABoEOZDp45VYqFvBkgv/1GJwvIAJa72Nvkcut6wWkdll7eZNzK/Et0ej8L1LNL44FIGvDl/GNu80zDwYrhN+w2wFJOT34j69UpAVyITCyj8CtWVyW0OIRXMDW9FVWbL9nYTJQ/GbBKBBkAOZPici82TvxlHb2IzHF7F9gPHXpBVUuWW1KKqsR1FlPda5J+syd6duD8D+gExU1jfBM+E6nrxD78wxKk8Isb23h7EkFCa0PSo8/Y3c1hBiczWgtbPLICA3Qm5riDtA8ZsEoEGQA5k+B1r70c5zlrcu3Txn1h3j4/1h3V4F7Mr1FbVN+PFYzB1LtIxdfkH371FL3PHBnhB8efgyfnaNwXv2gVhwPBZucQUoqqL9fqJSlAzYDWcCYd8UoJ5WVs2SU/9h7/GuvwEt1AHHlKH4TQLQIMiBTJ9NF1LA8QIWn46T1Y7cslpdsWTf5DvXfbteUY9vj0bhqaUeeHOLPypv006toq4J724PbCf2Jtr5YNOFFKQXVWODZ4quHiLHC/hgTwjt6zMWmX7A+seYMNjzEu0RM2dqSoFfOPZeB22T2xriNlD8JgFoEORAps+yM/HgeAEbPFPkNgVr3JLA8QJe3XQJzS2di6+Kuia8vTVAT8y9ZOeLY5dzdddoNBr4phRhl18G3tziD44X8NzKi4jMvoHUwirEX6toJ/Aq65twJvoa3OMKSPwZg5YmwEvFHgmqLIHdL9K+v97AFSf2fq/+E1CeI7c1RCdQ/CYBaBDkQKbP/1ofve4PyJTbFFTUNWHcCvYI9nuX6HaPds/H5uNn1xi8ZOere0RrezJWTwi+uz0QL9n5tivM/MyKC0gqID80GVqaAadprXvCLIFz3wKN5t0PmmhFowEOvsXed4d3gHr6uzRFKH6TADQIciDT59/7Qk2qF+/52HwMs2WibY5TJNa6JWGecxQ+2h+qJ+jG3STokgoq8c62gHaPeLXXTd8ZhMR88kGTwp1vXQV6GEg8I7c1hLEpSmYrgCpLYOdfgRvZcltE3ALFbxKABkEOZPq8tukSOF5AUHqJ3Kbo+DU0u9Mkjf/8Gont3mkorW7fVzStsAq7L2Xgx2Mx+OFYNHLLaEXJJIn+rW3lL+mc3NYQcnHtCrBhZGt9wMeA3HC5LSJuguI3CUCDIAcyfZ5pfeSaWlgltyl6aPcmjltxAW9u8ccWr1Rcybkht1mEIahbgGhnVuNPZQn4rpHbIkJuKq6xvZ/a2o+xrnJbRLRC8ZsEoEGQA5k2jc1q3crajZpGuc1pR1V9k9ELQxMS0FTPArv9C20rf84fAmpKtCHAWsU5f9jmG56LqESMCUDxmwSgQZADmTYFFXXgeAGPLXSDWk1CixCZ0gzW9WHd0Lbgvu4R1hasieooEjehbgEuLm3zk/2vARXK6Q1ujlD8JgFoEORApk1sXjk4XsD4Nd5ym0KYE2o1ELoLWPVgW0Df9CRwyY4KPBO3J+k8sLb1C8MvHJB6QW6Lei0Uv0kAGgQ5kGnjnVSoK51CEKJwI4uV9tAKP8f3gAxftsJDEF2h7Cqw5+U2H/JaTv4jAxS/SQAaBDmQaXM0PAccL+DzQ9SXkzAQjQaIPASsGdxW3iXiADtPEN2luQFw+7lNBDpNoyLhRobiNwlAgyAHMm3sfdLA8QIWHI+V2xRCybQ0A66ftQXrg28BZfIXFifMgLjjbfUCt4wBCuizylhQ/CYBaBDkQKaNttTKes9kuU0hlIpaDZya01rG4w9AsD09riPE5Xo8sHUs87FVDwExLnJb1Cug+E0C0CDIgUyb/x6JBMcLOBR0VW5TCCWi0bQ9plv+OyBZkNsiwlypuwH8+o+2VWb3BVQqRmIofpMANAhyINPmn7uDwfEChNgCuU0hlIj3ytaAPIhWZQjpUbcAPqvaRKDD20B1kdxWmS0Uv0kAGgQ5kGkzYa03OF6gDhtE9wnc0haIIw7IbQ3Rm0g6D6wZwnxv4yggl5LYpIDiNwlAgyAHMl2aWtR41JZ1ASmqpKK8RBdpbmD1/LTiL3Cz3BYRvZHiVMD+L217Ty8fpIxzkaH4TQLQIMiBTJfcslpwvIARi9ypCwhxZzQaIP4ksOVp/fpsBCEXDVWAy8dt/njkn0B5rtxWmQ0Uv0kAGgQ5kOkSmlkKjhcwab2v3KYQpk5DFXBidlug3TASiPqVVlwI+dFo2HaElX9oqz8Zuosy0UWA4jcJQIMgBzJdTkTmgeMFfLQ/VG5TCFOmIBbY/lxbpq/vGqCxRm6rCEKf4lTg4JttX1L2TQEKYuS2StFQ/CYBaBDkQKbLVi9WBHr+cfqQJDqgpRnwXw+s+H1bL98c+rJAmDBqNdsLuPbPNxUlfxOIOQo01cltneKg+E0C0CDIgUyX//zKagDu86eODb2SmlLgagAQ6wpE7AeCtrEizoFbgJNftxXeVVkCRz+iNlyEcqgsAI5/wVastT687hHAwxbIDgbqK+S2UBFQ/CYBaBDkQKbLRDsfcLyA4IwSuU0hjEFTPZDiDpydx0pnaAPj7Y61Q1l9P9rrRyiRygLg0npg8+j2vr1lDOD8IeCzGsgKIh/vAIrfJAANghzINKmobQLHsxIwFXVUTd+sqC5iK3sxLkD4PiBsL3DuW2Dd0PZBcOtYwPFdlkl58mvgxJcs2cNvHZDiwbovEITSUbcAaReBYzOBTU91/GVn2zggYCMTjQQAit8ACUCDIAcyTYLSS8DxAiba+chtCiEW9RWAx0JgxQOdr+htehJwmw9k+AAN1XJbTBDyUFsGZAUCYXvYF581g9v+RpZbAUc+AJLO9fpWcxS/SQAaBDmQabL7UgY4XsA3R67IbQohBolngPWP6a9maFf2jn0KnP8euOrPNskTBKFPQzUQdUQ/i1hlyf6mPBcBxSlyWygLFL9JABoEOZBp8s2RK+B4Abv8MuQ2hTCEuhv69fns/wKke8ttFUEol5I04OIyYMMIfTG4/zUmEpsb5LbQaFD8JgFoEORApslLdr7geAFB6ZQAoljSvNqSOZZbAd4rgeZGua0iCPOgpZklTTn/Wz+beP3jrBVijfl/dlL8JgFoEORApkd6UTU4XsDwhW6oqO3de1xMmqpCIFlgiRzRv7E2bPEnWLmWmx9VbX8eyLsst7UEYb5UFbKe15uebPu7W/UgS64qiDXbrRUUv0kAGgQ5kOnxi0cyOF7AbMcIuU3pXWg0bB9ewEYg7jjrXHArLU3sZ3snd6FMyyDAnQcaa43/WgiiN6L7+5yk/7e4bijw6z/YymCmH2udaAZQ/CYBaBDkQKaFWq3BhLXe4HgBbnFU7sAotDQBkYeAbc+2F3G7/sZKroTtZdm5dsP1Bd7Ov7IizE7TAYd3gENTgd9msOup6T1ByINGwwpKH/0IWP2njr+cbX8ecP0MCNjEtmtUFSqu1iDFbxKABkEOZFp4JlwHxwsYo/JEfRM1S5cEjYbtD8oKYvvybu6osWYIq0V24PW25vW3HhtGsOK1vWCPEUEonpYmID+KfSk7/gWweUznq/Yr/wBsGAnsGA84vM0E5Jm5/9/enUdFceV7AL8RuptGoVulVURpjRrcdTLaCnlKHKIwSiDmqDnjqGQ5GCf4RhNFUKPtFjXGaFzRRIExJjBkQUxgeEYDmIBLUBZBdhAIEtGwiCjI8n1/1FBSdKPI1mnq9znnnoSq6q57Kez+1nLvBc5s4GbgufIvbviZvJ+5nsdVlW1KcAAAFl1JREFUvxv09jJ9f1MAbBf6A/rj+DH9FkZt+A/UPt9j63ephq5O91NwGfjuXd3eg1pL7spe3CHh2HtVv3NTsH27jBuq5dQ73GC1dbWGawMhpP0qb3G98X/ay4XCA5O5jlqtmX2nednchwuNh18ATrzCBcboD4GEL7mxDEtvdNpnBn1/UwBsF/oD+mM4n1mCZ9eGQ+3zPRYdu4j7NXT1r0PUPeRmzAiYo3sLaM8YIMSD+6CmQZcJEbeHD7jHNm4mcc8JXvuGOwGM3sXNUfzNUm4A6s+cuMdF9M3c01LZpORmODnuzM3mc3Yz8Is/kBbOnVRmn+NmB7oRx52o3kwCfs/l5gN/zGDX9P1NAbBd6A/I8B48rIPDDm7eX68vrqCmtpNvKZQXGudYdHW13Bl15Drug/TDZ4HdI7kHvr/x5M66L33KzR5wbht3++bDoU3O1PsC377NPe/z8L6hW0MIMXa11UD5r0BRAhfkrn7OPTMc+g430PsnE7jPnbZcWWxatvbjBr3e/zxw3IV7TOX7VagI3yL672+jCoAHDx6EWq2GTCaDRqPBpUuXHrt9SEgI7OzsIJPJMHbsWISHhwvWNzQ0YMOGDRgwYADMzMzg5OSEzMzMVteHAqDhffJDJtQ+32Pq9rNdc+XvyHTuQyXj/zp/X61VWw1UlnBnvcXJQP4FIOsHICUUiD3AnTXvHNK2D89dw7gz+LJ8Q7eSECI29fXc/MUFl7geyj/t4R5FOTkP+HQGcGQa19nsoIa7srh3HPeYit7OK8JS4Wsh+u9vowmAwcHBkEql8Pf3R2pqKjw9PaFUKnHr1i2928fGxsLExAS7du3C9evX8f7770MikeDatWv8Njt37oRCocCpU6eQlJQENzc3DB06FA8ePGhVnSgAGlb8jd8xYn0E1D7f43RiUefv8Nb1Rx8gwYs6f3/NVd/lHqCOPcDdUjk2k3t+prVhboct97rEYO6s+9cr3EPZMbuAsOVcm0I8uPG/4g5y+6Jn9gghxqiulptNqCwf+C2FuwNy7Rvggh9wdjMqvvQU/fe30QRAjUYDLy8v/uf6+noMHDgQO3bs0Lv9ggULMGfOHMGyKVOm4O233wbAXf0bMGAAPvroI359eXk5ZDIZgoKCWlUnCoBPp+RuNSKSb6Lg99aP7fbgYR1q6+p1bu1+l1TEh7/X/S+hoSuGIDi7Rdjj7X7po3UNDUB9HffMSW0Nd5v0QQXXGeLub9yt49I84HYWFyRvJgG/xgP5F7mglRPFDYycGMzdiv1pD7e/798D/uXGPQPzpID3wUDu7HffRMDvf7jbHcGLuNsquecpzBFCyH/R97eRBMCamhqYmJggNDRUsHzJkiVwc3PT+5rBgwdj7969gmUbN27E+PHjAQA5OTlgjCEhIUGwzfTp0/HPf/5T73tWV1ejoqKCLwUFBWCMobCwULCcirDk3byNlSdiYbfmawxeGYJhq79GwI+pKC0rb/E1t+6U4vWjURi8MgSDV4ZgpM83+N/An5FR8BuCf06H7bvc8sV+P6L49u+d347yclTsHIMKXwtUrO3N/ddXgQpfy//+fxeVD+xQcXw+KsI3o+LC56hIi0FFcR4qysoMfpypUKFCxVhKYWEhGGMoLy9vazQxekYRAIuKisAYQ1xcnGC5t7c3NBqN3tdIJBJ8+eWXgmWHDh1Cv379AHC3iBljuHlTOGDw/PnzsWDBAr3vqdVqwRijQoUKFSpUqHSDkpOT09ZoYvQoAD5FAGx+BTA/Px+MMRQUFBj8bMYQZ05iu/JJ7aZ2i6FQu6ndYiiNd/DKysraGk2MnlEEwD/KLeDmKirE+QwBtZvaLQbUbmq3GFC7xdXupowiAAJcJ5Dly5fzP9fX18PGxuaxnUBcXV0Fy+zt7XU6gezevZtfX1FRQZ1AWoHaTe0WA2o3tVsMqN3iandTRhMAg4ODIZPJEBgYiOvXr2Pp0qVQKpX47bffAACLFy+Gr68vv31sbCxMTU2xe/dupKWlQavV6h0GRqlUIiwsDMnJyXB3d6dhYFqB2k3tFgNqN7VbDKjd4mp3U0YTAAHgwIEDsLW1hVQqhUajwcWLF/l1jo6O8PDwEGwfEhKC5557DlKpFGPGjGlxIOj+/ftDJpPByckJGRkZra5PdXU1tFotqqur29UuY0PtpnaLAbWb2i0G1G5xtbspowqAhBBCCCGk/SgAEkIIIYSIDAVAQgghhBCRoQBICCGEECIyFAAJIYQQQkSGAmAbbdu2Dfb29pDL5VAoFHq3yc/Px+zZsyGXy6FSqbB69WrU1tZ2cU07l1qt1plap6WxGY3ZwYMHoVarIZPJoNFocOnSJUNXqdPpm/rQzs7O0NXqcDExMXB1dYW1tTUYYzoDzjeOFjBgwACYmZnByckJmZmZBqptx3lSuz08PHSOv7Ozs4Fq2zG2b9+OSZMmoVevXlCpVHB3d0d6erpgmwcPHuCdd95Bnz590LNnT7z66qv8cGPGqjXtdnR01DnejePmGqvDhw9j3LhxsLCwgIWFBaZOnYqIiAh+fXc81k+DAmAbbdy4EXv27MF7772nNwDW1dVh7NixeOmll5CQkICIiAhYWVlh7dq1Bqht51Gr1diyZQuKi4v5cu/ePUNXq0MFBwdDKpXC398fqamp8PT0hFKpxK1btwxdtU6l1WoxZswYwbG9ffu2oavV4SIiIrB+/Xp8++23eoPQzp07oVAocOrUKSQlJcHNze2pxgv9o3pSuz08PODi4iI4/qWlpQaqbcdwdnZGQEAAUlJSkJiYiNmzZ8PW1lbwmbVs2TIMHjwY586dQ3x8PKZOnQoHBwcD1rr9WtNuR0dHeHp6Co63sY+Rd/r0aYSHhyMzMxMZGRlYt24dJBIJUlJSAHTPY/00KAC2U0BAgN4AGBERgR49egjOJvz8/GBpaYmampqurGKnUqvVOlPudTcajQZeXl78z/X19Rg4cGC3vNLZlFarxYQJEwxdjS7VPAg1zhj00Ucf8cvKy8ufasYgY9BSAHR3dzdQjbpGSUkJGGOIiYkBwB1biUSCr776it8mLS0NjDFcuHDBUNXscM3bDXABcMWKFQasVdfo3bs3jh07Jppj/TgUANuppQC4YcMGnS/P3NxcMMZw9erVrqpep1Or1ejfvz/69OmDiRMnYteuXd3qNndb5qHuLrRaLczNzWFtbY2hQ4di4cKFyM/PN3S1OlXzINQRc4Ybg5YCoEKhgEqlwnPPPYdly5bhzp07Bqph58jKygJjjJ8h6ty5c2CMoaysTLCdra0t9uzZY4gqdorm7Qa4AGhlZYW+fftizJgx8PX1RVVVlQFr2bHq6uoQFBQEqVSK1NRU0Rzrx6EA2E4tBUBPT0/MmjVLsKyqqgqMMcEzCMbu448/RlRUFJKSkuDn5welUol3333X0NXqMEVFRWCMIS4uTrDc29sbGo3GQLXqGhEREQgJCUFSUhIiIyNhb28PW1tb3L1719BV6zTNg1BsbCwYY7h586Zgu/nz52PBggVdXb1Ooy8ABgUF8dNkhoaGYtSoUZg8eTLq6uoMVMuOVV9fjzlz5uCFF17gl33xxReQSqU6206ePBlr1qzpyup1Gn3tBoCjR48iMjISycnJOHnyJGxsbDB37lwD1bLjJCcno2fPnjAxMYFCoeBnBBPDsX4SCoBN+Pj46DwE27ykpaUJXtMdA2Bbfg+Njh8/DlNT024zvY6YA2BzZWVlsLS0xLFjxwxdlU5DAbBljVdDz54920W16lzLli2DWq1GYWEhv0wMoUBfu/VpvEKWnZ3dRTXrHDU1NcjKykJ8fDx8fX1hZWWF1NRUURzrJ6EA2ERJSQnS0tIeW5o/v9cdbwG35ffQKCUlBYwxnR5mxkrMt4D1mTRpEnx9fQ1djU5Dt4Afz8rKCkeOHOmCGnUuLy8vDBo0CLm5uYLl3f22YEvt1ufevXtgjCEyMrILatZ1nJycsHTp0m5/rFuDAmA7PakTSNOeokePHoWlpWW3uTqmz8mTJ9GjRw+j7y3YlEajwfLly/mf6+vrYWNj0+07gTRXWVmJ3r17Y9++fYauSqdpqRPI7t27+WUVFRWi6ATSXGFhIZ555hmEhYV1Ua06XkNDA7y8vDBw4EC9Q/k0dgz4+uuv+WXp6elG3zHgSe3W5+effwZjDElJSZ1cu641Y8YMeHh4dNtj/TQoALZRfn4+EhISsHnzZvTq1QsJCQlISEhAZWUlgEfDwMyaNQuJiYmIjIyESqXqVsPAxMXFYe/evUhMTEROTg5OnjwJlUqFJUuWGLpqHSo4OBgymQyBgYG4fv06li5dCqVS2e3Hi1q1ahWio6ORl5eH2NhYvPTSS7CyskJJSYmhq9ahKisr+X+/jDHs2bMHCQkJfIeXnTt3QqlU8s/Dubu7d4thYB7X7srKSqxevRoXLlxAXl4ezp49i+effx4jRoww6hPYf/zjH1AoFIiOjhYMd3L//n1+m2XLlsHW1hY//vgj4uPjYW9vD3t7ewPWuv2e1O7s7Gxs2bIF8fHxyMvLQ1hYGJ599llMnz7dwDVvH19fX8TExCAvLw/Jycnw9fXFM888gzNnzgDonsf6aVAAbCN9g6QyxhAVFcVvc+PGDfz1r3+FXC6HlZUVVq1a1a16yF65cgVTpkyBQqGAmZkZRo0ahe3btxv1F0RLDhw4AFtbW0ilUmg0Gly8eNHQVep0r732GqytrSGVSmFjY4PXXnvN6J8H0icqKkrvv2UPDw8AjwaC7t+/P2QyGZycnJCRkWHYSneAx7X7/v37mDVrFlQqFSQSCdRqNTw9PY3+pKelZ5oDAgL4bRoHB+7duzfMzc0xd+5cFBcXG67SHeBJ7S4oKMD06dPRp08fyGQyDB8+HN7e3kY/DuCbb74JtVoNqVQKlUoFJycnPvwB3fNYPw0KgIQQQgghIkMBkBBCCCFEZCgAEkIIIYSIDAVAQgghhBCRoQBICCGEECIyFAAJIYQQQkSGAiAhhBBCiMhQACSEEEIIERkKgIQQ0oyjoyNWrFhhsH03DtTbfA7i9srLy+Pfu/lc5YQQcaEASAghzRg6AHp6eqK4uLjVMwe5urrC2dlZ77rz58/zc7rW1dWhuLgYq1atogBIiMhRACSEGKWHDx922nsbOgA+7b5DQ0PRo0cPFBYW6qx74403MGnSJMEyrVZLAZAQkaMASAhpl/r6emzfvh1DhgyBmZkZxo8fj6+++opf3zjn7NmzZ/HnP/8Zcrkc9vb2SE9PF7zPqVOn8Kc//QkymQxDhw7Fpk2bBFfAGGM4fPgwXn75ZZibm0Or1QIAwsLCMHz4cMhkMrz44osIDAwEYwxlZWW4d+8eLCwsBPUBuMBkbm6Ou3fv6m1T8xBWWlqKxYsXQ6lUQi6Xw8XFBZmZmfz6GzduwNXVFUqlEubm5hg9ejTCw8P51y5cuBBWVlYwMzPD8OHD4e/v3+Lvs6UAeO3aNbi4uKBnz57o168fFi1ahNu3bwMAamtr0b9/f2zdulXwmsrKSvTq1Qt+fn6C5RQACSEUAAkh7bJt2zaMHDkSkZGRyMnJQUBAAGQyGaKjowE8CoBTpkxBdHQ0UlNTMW3aNDg4OPDvcf78eVhaWiIwMBA5OTk4c+YMhgwZgk2bNvHbMMbQr18/+Pv7IycnB/n5+cjNzYVEIsHq1auRnp6OoKAg2NjY8AEQADw9PTF79mxBnd3c3LBkyZIW29Q8hLm5uWHUqFE4f/48EhMT4ezsjOHDh/NXIefMmYOZM2ciOTkZOTk5+O677xATEwMA8PLywsSJE/HLL78gLy8PP/zwA06fPt3qfQNAWVkZVCoV1q5di7S0NFy9ehUzZ87EjBkz+G28vb0xbNgwNDQ08Mv8/f0hl8tRXl4ueD8KgIQQCoCEkDarrq6Gubk54uLiBMvfeust/O1vfwMgvALYKDw8HIwxPHjwAADg5OSE7du3C97j888/h7W1Nf8zYwwrV64UbOPj44OxY8cKlq1fv14QAC9dugQTExPcvHkTAHDr1i2YmpryAVWfpiEsMzMTjDHExsby6+/cuQO5XI6QkBAAwLhx4wRhtamXX34Zb7zxRov7ety+G23duhWzZs0SLCssLARjDBkZGQCAtLQ0MMYQFRXFbzNt2jQsWrRIZx8UAAkhFAAJIW2WkpICxhh69uwpKBKJBBqNBsCjAFhSUsK/7urVq2CMIT8/HwD426NN38PMzAyMMVRVVQHgAuDJkycF+3/llVd0wlVYWJggAALA+PHjsWPHDgDAxx9/rHOlrLmmISwsLAympqaoq6sTbDNx4kRs3rwZAPDZZ5/B1NQUDg4O2LhxI5KSkvjtIiIiIJfLMWHCBHh7ewuC5JP23WjevHmQSCQ6v2fGGCIiIvjtHBwcsHjxYgBAVlaWTiBsRAGQEEIBkBDSZhcvXgRjDNHR0cjKyhKUgoICAI8CYNNAlpCQAMYY8vLyAABmZmb48MMPdd4jKysL9fX1ALgAGBoaKth/awPg/v37YWdnBwAYO3Ystm3b9th2PW0ABICCggL4+flh7ty5kEgk2L9/P7+upKQEgYGB+Pvf/w4zMzOsWrWqVftu5OLigldffVXv7+fevXv8dsePH+efbVy3bl2LQZcCICGEAiAhpM3u3r0LmUyGEydOtLhNawKgg4MD3nzzzcfuS18A9PHxwbhx4wTL3n//fZ39lZaWwszMDPv27Wuxt2xTrb0F3LxzSSNfX1+dejU6cuQILCwsWrXvRuvWrYOdnd0Th4Vp7PRx5MgRDBo0CB988IHe7SgAEkIoABJC2mX9+vXo27cvAgMDkZ2djStXrmD//v0IDAwE0LoAGBkZCVNTU2zatAkpKSm4fv06goKCsH79ev41+gJgYyeQNWvWICMjA//+978xaNAgMMZ0Oj4sXLgQUqkULi4uT2xT8xDm7u6O0aNH46effkJiYiJcXFwEnUBWrFiByMhI5Obm4sqVK5gyZQoWLFgAANiwYQNOnTqFrKwspKSkwNXVlb893pp9A0BRURFUKhXmzZuHy5cvIzs7G5GRkXj99dd1rky+9dZb6N27N0xMTFBUVKR3HxQACSEUAAkh7dLQ0IBPPvkEdnZ2kEgkUKlUcHZ25nvBtiYAAlwIdHBwgFwuh6WlJTQaDT799FN+vb4ACOgOA+Pn5yfoYNLo3LlzYIzxHTcep6VhYBQKBeRyOZydnQXDwCxfvhzDhg2DTCaDSqXC4sWLcefOHQBcB45Ro0ZBLpejT58+cHd3R25ubqv33SgzMxNz587lh6IZOXIkVq5cqXOLNy4uDowxnZ7PTVEAJIRQACSEdCvbtm3DoEGDdJafOHECffv2RU1NjQFq1XpdMQg1BUBCCAVAQohRO3ToEC5fvoycnBycOHECCoVCcOu4qqoK2dnZGD16NNatW2fAmraOo6Mj3+M3OTm5Q987Pz+f76VNAZAQcaMASAgxaitXroS1tTVkMhlGjBiBLVu2CDpLaLVamJqa4i9/+QsqKysNWNPW+fXXX/kevh19tbK2tlanlzYhRJwoABJCCCGEiAwFQEIIIYQQkaEASAghhBAiMhQACSGEEEJEhgIgIYQQQojIUAAkhBBCCBEZCoCEEEIIISJDAZAQQgghRGQoABJCCCGEiAwFQEIIIYQQkfl/xKrSjLsolsEAAAAASUVORK5CYII=\" 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   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(energy_scale,spectrum/sumSpec*1e2)\n",
    "plt.plot(epsSi_energy, (-1/epsSi_LF).imag/60, label='Loss Function*10')\n",
    "plt.title ('Spectrum '+spectrum_tags['filename']);\n",
    "plt.xlabel('energy loss [eV]')\n",
    "plt.ylabel('% scattering Intensity');\n",
    "plt.xlim(-10,30)\n",
    "plt.ylim(0,.07);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Back:[Calculating Dielectric Functions I](DielectricDFT.ipynb)\n",
    "\n",
    "\n",
    "## Chapter 4: [Spectroscopy](Spectroscopy.ipynb)\n",
    "## Index: [Index](Analysis_of_Transmission_Electron_Microscope_Data.ipynb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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