diff --git a/02-Discrete-Bayes.ipynb b/02-Discrete-Bayes.ipynb
index 1787062..2cd655b 100644
--- a/02-Discrete-Bayes.ipynb
+++ b/02-Discrete-Bayes.ipynb
@@ -296,7 +296,8 @@
    ],
    "source": [
     "#format the book\n",
-    "%matplotlib notebook\n",
+    "#%matplotlib notebook\n",
+    "%matplotlib inline\n",
     "from __future__ import division, print_function\n",
     "from book_format import load_style\n",
     "load_style()"
@@ -397,775 +398,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
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-     "output_type": "display_data"
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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9ccb23710>"
       ]
      },
      "metadata": {},
@@ -1294,775 +529,9 @@
     },
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9ccb230b8>"
       ]
      },
      "metadata": {},
@@ -2188,775 +657,9 @@
     },
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd47e7f0>"
       ]
      },
      "metadata": {},
@@ -3096,775 +799,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd4d7d68>"
       ]
      },
      "metadata": {},
@@ -3910,775 +847,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd5c17b8>"
       ]
      },
      "metadata": {},
@@ -4755,775 +926,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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1r+Tk7LtcryvP/1jZj3iufb05Yhsy8vLyVFVVpUAgIEkKBoMqLy9XS0uL7r//fpWVlSkn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\nAABGEDIAAIARhAwAAGAEIQMAABjx/6gn+ahVuHFpAAAAAElFTkSuQmCC\n",
       "text/plain": [
-       "<IPython.core.display.Javascript object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd5bb278>"
       ]
      },
      "metadata": {},
@@ -5564,775 +969,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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-     "metadata": {},
-     "output_type": "display_data"
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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd47c6d8>"
       ]
      },
      "metadata": {},
@@ -6364,782 +1003,6 @@
     "collapsed": false
    },
    "outputs": [
-    {
-     "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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": {
-      "text/html": [
-       "<img 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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
     {
      "name": "stdout",
      "output_type": "stream",
@@ -7147,6 +1010,16 @@
       "Final Belief: [ 0.104  0.103  0.101  0.0987  0.0967  0.0959  0.0967  0.0987  0.101\n",
       "  0.103]\n"
      ]
+    },
+    {
+     "data": {
+      "image/png": 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eebtBjqQ7+3GPn/TbnnytJ/XmVOnuu+/tcbvjx4+aMIcUPbN883NEywOWOb5euJ5Ao2WW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\nU1AyAACAKf4P7Q2TpWMWbmIAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x1d9ccf1fb00>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -7245,775 +1118,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9ccf41128>"
       ]
      },
      "metadata": {},
@@ -8047,775 +1154,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd6eb0b8>"
       ]
      },
      "metadata": {},
@@ -8872,775 +1213,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
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hCPtsoIKACoAqAAUq1I+55zP2J341sW1+mHvBRqMCrTP+eAzdifmYhYVRd/D8R2uGtyWgbbJFsfxGiHEOiLqJaL7jTE3Sik3MPPGWq1mDfXLf1mPcKRNZhzmx4N0vgy0rzPYyPlwct71/F1LH6HBfp8FwVwMZy6m9Rwt8+5L/33HDy3nXTW4bQOdJeGytMVDhOlohZbI6Xp9tOoEAfN37t8X+9By3lW8s8wVl7bQ4HTUQsvHdL2GBmPcw9k4uWowDHQWtZigrc+J5DM2dsH5PgmcJRUx7hDvLPni0hYGOh01zMVw5mK6EcfmIbSch4E+GZMYxxiyyF/7bX2KiM/Y2Djlu3FyFe/2M3jyT4CBTkcYcxFrL9bedHMlr1Z5zzlXDUYFOocRzXsws9ySz9gwUvkaKYx7OgKh5byreKej5d4KBjodu9DyMV2vUYXFuIezcXLVYBjoLGqBIxzHEfApIj5jY/OAzUM3vEglB/ma8CNgoNPRhQ6FY6TSjTg2D6HlPAw0jnAU/ipTmEiYyLxM5ExeuFzFOwszl7Yw0OmohWYm0vUaJhLjHs7GyVWDUYHOohaoQKMCPYqATwH1GRsbp3w3Tq7inYN0TfoRMNDpCGMuhmOk0o04Ng+h5byrBsNAZ5kxMNAw0DDQRwj4FFCfsTvRd1fxzkG6YKBzgBhaPmZBgr5j8xDCA5SuGgwDnUUtYKBhoGGgYaAFKtBjhQBGCkYqBCOVxQ4g58PJeRhonIHGGegs6pdDW58C6jN2J6qwWYYjtL67incWZi5tcYQjHbXQ8jFdr3GMAeMOA40KdBa1QAUaFWhUoFGBRgW6q3QAG7p8vxHJsiTCRIZjImfyuLsWMWCgs2QNDHRXLZwQb4h3CF8bu4p3DtKFM9A5QIQOQYdC0KEsUyG0nHfV4LYNtFLqQiJax8xlIcS9WuvbRw+EUupcIvokM/cQ0Y/q9fqlO3bs2D/VYOHrw6kI4Su00CZxuhHHuIc27q7i3coXaDAeaj3Z0xHG0OYiNDgdgdDG3VWD2zLQAwMDC0ql0uZyubysUqnsV0o9nCTJnbVa7dHmMERKqZ1RFL1927ZtRkr5Z0KIhtb641MNEwz0VIRgpEKbxOlGHOMe2ri7irfNBGiw//kQWj5Ch9IRwLiH882Dqwa3ZaCVUhcz8ypjzOU25ZRSlzDzCmPM2lEpaCvPjeHh4d7Dhw9/noi2GGM+NVWKwkBPRcj/wmHvwKeI+IyNvuPcZV4vkXEV76bmQoOhQ4QK9EjhD9Fj/YGBbtdA38DMs40xNzfFfDUzX2+MOW+0/ZNSniaEeISIDjLzmcaYZ6ayhzDQUxGCgYaAhSNg6bI9zJxv00BDg2GgYaB3w0Bn0dB224a29rpqcFsGWkp5ExH1jTHQ1xljzh9vgOI4/qAQ4hJjzFunGkBroO0gpfmz7ebNm0t79hQ/iVqVSF/x0XeMu68HWJDz+ejN/PknpVS649UQGnx0U4V8zCcf06y5rTZYf7D+hLD+uGqws3CPd2TDHukgonO01lfaf1+0aNGJs2fPPrdWq21q/fecOXN+Zow5aapJWq83uKcnmqoZ/h0EQAAEpjUBIdKWCo7v5thjc9DgaZ0KuHkQAAEPBFw1uC0DPTQ0tLDRaDzBzMv7+/v3jYyMWKO8Xmu90TJ405veVB4ZGflxo9FYvX379opSyp6Vfo/W+tenYoQK9FSE/FdeUH33980HKj/hVH5cqx92/kGD/esg5mI4czHdqus/57D25rv2umpwWwbaDmIcx2uEEOuIqJeI7jfG3Cil3MDMG23lOY7jFVEU3WWPqRHRT0ql0pWVSuVnUyUqzkBPRejoJPb1AElrEvuKH9o5rHQjjnEPbdxdz9+18gUajIeZocF+jq/44o61N9+H2F01uG0DnWXRz9IWBjodrdDMRLpew0Ri3MN5gNJVvLPMFZe20OB01DAXw5mL6UYc609oOe+qwTDQWWbMBG19JpPP2NgF57sLzpKKGPdwFm1X8c6SLy5tYaDTUcNcDGcuphtxGOjQct5Vg2Ggs8wYGOjjCPicSD5jY/OAzUM3/A50DvI14UfAQKejCx2Cgfb1SxS+jpCElvMw0J5eZQojBSOVl5FKt1yj+gHxzpIp7m1hoNOxCy0f0/UaOoRxD2fjBAMNA134m5iwecDmAZuHLHZj/Lau4t1+5Mk/AQY6HWEYqXCMVLoRx+YhtJx31WAc4cgyY3CEA0c4RhHwKSI+Y2PjlO/GyVW8c5CuST8CBjodYcxFGGgc4Ug3V/Jqlfecc9VgGOgcRjTvwcxySz5jw0jla6Qw7ukIhJbzruKdjpZ7KxjodOxCy8d0vUYVFuMezsbJVYNhoLOoBSrQqECjAn2EgM/Fw2fsTvTdVbxzkC5UoHOAGFo+ZkGCvodjImfyuLtqMAx0lqyBgYaBhoGGgRb5fvPgKt45SBcMdA4QYSJhInGEI4eJlOEj8p5zrhoMA51h0CZqmvdgZrkln7E7UY1D39MRwLiHs2i7ine6THFvhSMc6dhhLoYzF9ON+EutMO7hjLurBsNAZ5kxqECjAo0KtPfFI7SFy1W8c5AuVKBzgBhaPmZBgr6HYyJn8ri7anDbBlopdSERrWPmshDiXq317aMHYsmSJcuiKPqMEOJEZn5eCPEhrfW/TDVYqH5MRQi7YIg3xDuEr05dxbulENBgv9VA6BB0KAQdSuc4wvQdrhrcloEeGBhYUCqVNpfL5WWVSmW/UurhJEnurNVqj44S938loqu01k9IKd8uhPik1vr0qQYLBnoqQmEmcrpeo+9YtMNZtF3F284CaLB/LcBcDGcuYv1JRyC0nHfV4LYMtFLqYmZeZYy53GJXSl3CzCuMMWubwyCklJcaY75k/3toaGheo9Ewxph5Uw0TDPRUhPwvHPYOfE4kn7HR93wfpEuX7WHmvKt4NzUXGgwdIrzSeaTwF4lh/Qln4+Sqwe0a6BuYebYx5uammK9m5uuNMeeNtyAqpT7LzKVRBnvCdRMGOp2lwCQOZxKnG/EwTeRM7rureDc1FxoMAw0DvRsGOouGtts2NN/hqsFtGWgp5U1E1DfGQF9njDl/zABFSqlPM/PyKIpWV6vVkakG0BpoO0hp/my7efPm0p49xU+iViXSV3z0HePu6/wdcj4fvZk//6SUSne8GkKDj24okY/55GOaNbfVBusP1p8Q1h9XDXYW7vGObNgjHUR0jtb6ytYEGx4e7j18+PA37EOEs2bNeu+WLVsOpJmg9XqDe3qiNE3RBgRAAASmLQEh0pYKju/i2GNz0OBpmwa4cRAAAU8EXDW4LQM9NDS0sNFoPGEry/39/ftGRkY2EdF6rfXGFgel1JeZ+QRjzEVE1EjLBxXodKRQAUAFIIQKQLps919t7MQ3Tq7VD3sv0GD/OQENhgZDg7MoePtt855zrhrcloG2GOI4XiOEWEdEvUR0vzHmRinlBmbeyMzVnp4eTUT2/w42sbHW+gwi4skw4gx0uiQL7SxSul4fXTR9PTzTMlK+4mPcwzn77nr+rjVXOqXBjz22eVKNHj1XbT6+8pWzae/eA5ke5lqyJKZSqXTMtK/X67R9ey2LFBx5mDlr/PFiZwrabIy5GM5czDL+IY171jnnMt8s226dc64a3LaBzpJwWdrCQKejFdIkTtfjo63Qdyxcvio/eW6cXMU763zJ2v7Ua9Zz74JTsl6Wuv2hnz9FX15zBg0ODh1zTbW6jS697wfkI3bqmx/VEDoEHZruOjTT55yrBsNAuyjmmGt8CqjP2KjC4qfcduPp97YVxFW82w48xQeoOx7ivtfGHQvzwk9qtOHsk8c10Fc8vpt8xHbpLDQYBjoEAz2T55yrBsNAuygmDPTLBHwuHj5jY/OAzUNemwdX8c5Buib9CBjodIShQzDQMNBTz5WJNsxTX3l8i7znnKsGw0C7jB4MNAw0fnsWvz2bU/XdVbxzkC4Y6DHHR1yY5r2YZ70Hn/F9xkYRI78ihj3CgQp01plHBAOdndlxV/gUEZ+xIWD5CVjWNMS4h1P1goE+/gz0TF7Mp5MWQIfC0CEYaLff4oeBzqpW47T3KSI+Y8NAw0DndYwhyzQMLedhoGGgs+T/2LY+54PP2Fh/8lt/YKBhoMnHYo5JnN8kzrqIQLzDqH7M9HGHgYaBzjoHRrf3qYM+Y2PtzW/thYGGgYaBTv2rre3I9bHX+hRQn7Eh3vmJd9ZsDG3cYaBhoLPOARjolwj41AKfsfPuOww0DDQMNAx0O+tQ5mt9CqjP2HmLd1bwofUdBhoGOuscgIGGgc5TB2GgYaBhoGGg21mHMl+bp4BlDe4zNgx0vtV3GGgY6KzzHwYaBjrPNQAGGgYaBhoGup11KPO1eQpY1uA+Y8NAw0Bnzdfx2uNFKnlQxDGGPN8KmmVEQtJgGGgYaBhoGOgs+td2W58C6jM2DDQMdNuTh4hgoPOgCAMNAz1C7b7IBQbak4FWSl1IROuYuSyEuFdrfft4siClvFUI0dBa35ZGNp599rnUdhBmAr/G0K6ApMnJsW185p3P2DDQ3WWgO6XBeBNhOlXAXMT6M93XHxhoDwZ6YGBgQalU2lwul5dVKpX9SqmHkyS5s1arPdqSnoGBgf5SqXQXEf2WEOJOGOh0opy2FcQb4j3dxTttrrfahZbz7ZyB7qQGw0Cny8zQ8jFdr/2fQcZGPr+NPAy0BwOtlLqYmVcZYy63yayUuoSZVxhj1rYmoZTyMiKaT0RzUIHOIk3p2kK8YaBhoNPNlbxa5T3n2jHQndRgGOh0GZN3PqSLerSVz/g+Y8NAw0Dn9e4PVw1u602ESqkbmHm2MebmpoFezczXG2POGysCSql1RMSoQGeVx8nbQ8BgoGGg851TU31a3nPOVbybmtsxDYaBnioTUIXNey6kI47NQ96bB1SgPVSgpZQ3EVHfGAN9nTHm/HYN9GOPbWY7OdP82XaveMVs2rfvQKbD9EuWxFQqlY4JUa/Xafv2WpqwL7fxGd9n7NYk9sUefUfOZ9k8dON8t3No/nw38bbXdlKDizDQn3/byTQ4ePzP2K393m7qe22cSYezNLYPMI4XO8tntNpaHZo3by7t2dP+w1zTLT76Hsa4WwM9k+ecqwantKjjT+uxRzbs14lEdI7W+sp2DfSp16zn3gWnuOhJqmsO/fwpevCKc2h4ePiY9pVKhd614THqZGwb0Gd8n7HRd395h3Hvvvn+0iY0bangeGnrpAYXYaDv+41TxtXgNQ881XEDPV7sVIsHGoFAYASs75nJc85Vg9sy0ENDQwsbjcYTzLy8v79/38jIyCYiWq+13tiugS5CvH1VPyybiSogPneCRcRG38evfBXB3mfOYdwnrni6Vj8sU2iwm5NBBdqN29irUIFGBTptJnXznHPV4LYMtAUXx/EaIYQ939xLRPcbY26UUm5g5o21Ws0a6iN/Wc9AF2GgN5w9/teHVzze2a8PW2bCV3yfv7+KvtcI4949b54r4uzfZDlv/62dM9DQ4LTL97HtJtJAl0/DOWA8h5LlKJlLjo13TZ55V4QOdvOcc9Xgtg10XslwXMX6joe402fgfBkZmEiYyPHOfXZ644aNU/dtmPMw0NDg7AS6eTHP2ps8jdR0im3vFX3PZ/MCA+32HAoM9DgPsHTayMBAw0DDQB9dqn2KdxGxO12Bzmp60rYP+VtAGOi0WTB5O58GFgYaP2M3rX/GLp8pOP6nhCzeMNAw0DDQMNAtAq5fH3ZSf+1nh6zBMND5ZA8MdD4VYJfRyJN9EYWEbp5zrhqMCjQq0C/P3SImETYP2Dxg83Dscukq3i6LbpZrYKDT0crTyKSLeGwrn/F9xkYFGhVoVKAnUIyQxRsmEiYSJhIVaFSgu08H7JhkfReANZGvfOVs2rvX33sIssYf7zfR0fds74AIadyLKJ5NVIHOOt9aG6e8ct5+nmsRAxVoVKBRgSaiIgQEG6fuM0y+x70d8XapVma5JuQixmRfJ9ucuPS+H3T0XQD2N9m/vOaMcV8i47E+1ykAAAxbSURBVCu2zQ30feaOe6ef/ZrsIXafOd+OBsNAw0DDQMNAU6fFE5uH8TcP7Yh3FjPs0nYmG+hOzwefv4gz1eYBfe/sGzB9/foXxv34X2Fq91tAGGgYaBhoGGgY6A6+NnqyzQMMtJ+fFoSZGN9MFPGNDDYPyPnRG3qfOQcD7VJaab4J0NdOENU4fJWPM9A4A92ueDtKX+rLUIFGJTJ1smRoCAMNAw0DnWHCuDQNWbxhoGGgYaBhoGGgu08HWueAcYwBmwcX3zLVNdg8dN/moZ1vAXGEA0c4cIQDRzhwhANHOI5b+0MuYuAIB45wjE14n0cJfMae6ZtGGOiptn3j/LvPnSAq0N1XeSpCwDDuGPex3zy0I94OspfpEhhoVGEzJUzKxj7XXmycsHEaL029/YydUupCIlrHzGUhxL1a69tH3+Dg4OCiJEnuFUIsYOZdQoj3aa13TzXXQhZvGCkYKRzhwBGOvI5wQIOnWk2O/3cYKRgpVKBnjgZP9RZELwZ6YGBgQalU2lwul5dVKpX9SqmHkyS5s1arPdoaGinl3wgh7tNa3xvH8QeiKHqH1vp3ppI8GOgwqx/YPGDzgM3DsernKt72U6DBU60k4/87DDQMNAw0DHS7RYy2zkArpS5m5lXGmMvtjSilLmHmFcaYtfa/V65cWdq1a9durfU8ImoQUY9S6t+11q9q/veE6gcDDQPttjROfpXPrw+xecDmIe8jHNBgN5WAgYaBhoGGgfZtoG9g5tnGmJubBno1M19vjDmvVR0pl8v/oLV+XetGlVJPl0qlN1cqlZ9NJn0w0DDQbksjDPREBLB58PME+GQbJ/tv7VSglVLQYAehgIGGgYaBhoH2aqCllDcRUd8YA32dMeZ8e2NDQ0MLkyTZPMZA/7her5/x5JNPPjuZ7p16zXruXXCKgzSmu8S+SvWeC8Z/ler7v9XZ13naO/QZ32ds9N1f3mHcu2++2/kwf/5Jzt8EQoPT6f3YVhPNBdvOPlDc6TXA51xE34/XAYz7zM35djTYWbibFedjjmzYrxOJ6Byt9ZX230cd4bBHNpLmEQ57pOPkqY5wuMkirgIBEACBmUNg7LE5aPDMGXv0FARAwC+Btgy0rTA3Go0nmHl5f3//vpGRkU1EtF5rvbHVLSnlRiHEt7TWX5FSXkpE7zbGvMdvtxEdBEAABKY/AWjw9B9D9AAEQGB6EmjLQNsux3G8Rgixjoh6ieh+Y8yNUsoNzLyxVqttiuP4tVEUfZGIFhLRniRJLqrVaj+Znrhw1yAAAiDQXQSgwd01HrgbEACBmUGgbQM9MzChlyAAAiAAAiAAAiAAAiDwEgEYaGQCCIAACIAACIAACIAACGQgAAOdARaaggAIgAAIgAAIgAAIgAAMNHIABEAABEAABEAABEAABDIQgIHOAAtNQQAEQAAEQAAEQAAEQCAIA62UupCI1jFzWQhxr9b69iKHNo7jk4QQj9fr9V/fsWPH00XGVkr9PjN/gIiYiP5h0aJFV333u9+tF3EPUspPCCHexcyJEOIvtdZ3FxF3dAyl1H8lonla698tMrZS6uvM/EYhxPPNuLeO/vnGTt9LHMfvsr9+I4Q4kZkfMcZ8tNMx7edLKa8SQnywmW+CmU8RQjyotbY/UVnIX/O3jm9kZhZCfFtr/bFCAhORUsrGvUwI8SIzf8MY82dFxe7mODNVg33qb3M+QoM9aLAv/YUGd5cGT3sDPTAwsKBUKm0ul8vLKpXKfqXUw0mS3Fmr1R4tYsGJ4/gtQojPCSHk4cOHZZEGWin1K8z8+UOHDi3fuXPni1LKe6Io+kG1Wv10p/supTxfCPExrfWq17/+9Sf09vZuLZVKv7p169Zap2O3Pl8ptZqIvk5Em4o20FJKc+jQoTfv3LlzX1H9HdXvU4noe1EU/cq2bdueVUr9HRF9Qmv97SLvZenSpXGj0Xi4VCq9tVKp/KyI2IsXL+7r6+v7SU9Pj9y2bdtepdT3iegPtdaWQUf/bL4x893lcvmsSqVyQEp5vxDii1rr+zsauMs/fKZqsE/9bRopaLAHDVZKdYX+2hyABvvV4GlvoG01iplXGWMutwk19s1cnV57pJRfsNVXZv5KvV5fWaSBXrJkyZIoihYaY77XFNTriGiRMcb+/yL+euwbJZcuXXpKo9F4TAhxZrVa/WkRgYeHh19Vr9cfEkL8FTOfVqSBbsZ+kogeZ+bXCSHu01rfVkS/mzn++3actdZ/YP97eHj4NVEUHfzhD3+4t6h7aN7HI0KIL1er1a8WFXd4eHjO4cOHn06S5LR6vf5vvb29jydJ8pHt27f/fafvQUppec83xtzQ7P+HiGi51vqyTsfu5s+fqRrcBfpr0wIaXLAG228dukF/ocFH/J5XDQ7BQN/AzLONMTc3E8pWia43xpxX5KIjpfxRvV5fUaSBHt2/N7zhDa/u6enZTETvbxnqIvqvlLLHZaygfKNIEyul/GYUReuTJLFHCFYUHHuIiG45dOjQVY1G42BfX599A+dXjDFfKoK5lHI9ER0kokEhhH1BkT1C8cdFxG7FkFK+TQjxGa316UXGbW4UrxZC3MnMB4QQ/1drfUER96CUOpeI7urt7V01MjLyQm9v79/YnwItWmuK6GuWGEqpGa/BvvS3ueZBgwvU4G7Q36YOQoM9a/C0N9BSypuIqG+Mgb7OGHN+lkWg3bY+DfTg4ODrmdmaOHv++xPt9iXr9c2v1TcJIb6utf581uuztldKrbXm0VZg7evhizbQY+9XKfVuIrq4QCP3OSI6O4qit9Xr9V9EUfQAM3/VGHNPVpau7ZVSX2Xm/1VkTHuvg4OD/5GZvxRF0Ttnz5793HPPPWer35uNMZ9y7UuW65RSH20+c7CHiL4jhHiL1vo3snxGaG1nugb71l+bT9Dg4jRYKeVdf5sbJ2iwZw2e9gZ67JGN5gNG52itryxyofJloKWUpwshrHm+Q2ttK5OF/MVxvLRUKkXbtm371+Zk/s9NU/t7nb4BpdQjzPwaIUSDiF5lv4Gwm4eiHqQbHBw8o9FoLLSvqm9WAt5LRL9pjHlfp/vejHebEOKVWuuPNNl/iJmHjTFXFxF/5cqVpV27dj0za9asgS1bthwoImYrhj1GIYR4devBweZZ/A9prd/V6fuwx0eYed7WrVufanK/1h7hMcZc2+nY3fz5M1mDfemvzQdosB8NllJ61V879tDg7tDgaW+gh4aGFjYajSeYeXl/f/++kZERa2rWF/mLCE1TU/gRjjiO5wsh/kUIYQ1EoQ8yxXG8Rgjx0UWLFq165plneqIoshXov6hWq98qcrH3UYFesmTJmT09PfeUSqU3EtGher1uc+4LWutvFNF3KeWbieieer2+fMeOHb+QUt5nq9DVavUvi4gfx7H99ZHPGGPOLiLe6BhxHL9DCPHJvr6+s7Zs2fK8Umo9M//cGHNLp+9laGjolxqNxtcWLVq07Omnn55dLpe/32g01hZx/rrTfWvn82eqBvvU36aBhgZ70GDf+tsce2hwF2jwtDfQo4RkHRH1EtH9xpgb21kQXK6VUu4o+iFCpdSfMPNHhRCm+Vp2+1N2DxV1HtbGJ6L3MLP92Tz7k153uLBr5xofBrpVfSSiK5i5Rwjx11rrj7fTj6zXSintg2v2YdGSEOI7Wmtb+bfj3/G/wcHBC5j5vVrr3+l4sHECSCmvJyL70LA9B/7/Dh069GH7KzRF3Is972ufM2DmyJ6HNsZsKCJut8dobqhnlAb71t+mDkGDPWiwT/214w4N7g4NDsJAd/vigvsDARAAARAAARAAARAIhwAMdDhjiZ6AAAiAAAiAAAiAAAgUQAAGugDICAECIAACIAACIAACIBAOARjocMYSPQEBEAABEAABEAABECiAAAx0AZARAgRAAARAAARAAARAIBwCMNDhjCV6AgIgAAIgAAIgAAIgUAABGOgCICMECIAACIAACIAACIBAOARgoMMZS/QEBEAABEAABEAABECgAAIw0AVARggQAAEQAAEQAAEQAIFwCMBAhzOW6AkIgAAIgAAIgAAIgEABBGCgC4CMECAAAiAAAiAAAiAAAuEQgIEOZyzRExAAARAAARAAARAAgQIIwEAXABkhQAAEQAAEQAAEQAAEwiEAAx3OWKInIAACIAACIAACIAACBRCAgS4AMkKAAAiAAAiAAAiAAAiEQwAGOpyxRE9AAARAAARAAARAAAQKIPD/AT3uSkOd82gsAAAAAElFTkSuQmCC\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd6c8748>"
       ]
      },
      "metadata": {},
@@ -9674,775 +1249,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd508748>"
       ]
      },
      "metadata": {},
@@ -10472,775 +1281,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd7bb320>"
       ]
      },
      "metadata": {},
@@ -11270,775 +1313,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd8c77f0>"
       ]
      },
      "metadata": {},
@@ -12070,775 +1347,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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       "text/plain": [
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-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd9e57f0>"
       ]
      },
      "metadata": {},
@@ -12912,775 +1423,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd82dac8>"
       ]
      },
      "metadata": {},
@@ -13742,775 +1487,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd47e278>"
       ]
      },
      "metadata": {},
@@ -14542,775 +1521,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd8637f0>"
       ]
      },
      "metadata": {},
@@ -15338,775 +1551,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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1NUJDQ5Gfn39T8AHArl27sG7dOhiNRoSHh2PJkiW46667fDBrIurPtMy9ru6+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\nicet1WbOnIm5c+ciMDAQY8aMwaxZs+B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iWidMeY7YdCCvMMQwld4g/4KLw1RFR5lTFpFmbTikneQAeDg+avF9SSLmgxHoIyYl9Hnos15cTk4kYCemJg4sVKpbK9Wq2fUarXnlVLb2u32pkaj8WCn1Dyl1JOe57159+7dRkr5SXt0t9b6452TCF9vjLlKSjnV2cHD/teK6QVfENAgsYUQAJGVp/NepFjHJW9bB+DghfmwSDkSzvrlfqDOUtAhz/I/78Tl4EQC2h6cwsxrjDF2f2fq3tS/U9K289yanp4enZ2d/ZwQ4l+01p+WUj5ERDcbYx614+zfQoibtNaPQUBHocujx6Kg81/QUTKgjPEuks9xybvDueDgBYqlSDkCPghHIKt4Z2U3y4eGotmOy8FJBfQGZl7SdZT3emPMhXPTXUp5mhDim0T0K2Y+xxjztJRyNxG91RiztyOg7yKi+40xX4KADieLXiNQ0BDQyTKo/09nlWtZ2U1j4ohL3h0BDQ6GgD4CgSLVRv9MlN3SReCd//k2LgcnEtBSyhuIaKxLQH/UGHPxfInv+/4HhRBXGGPeKKXURHTRXAEthPi61vorYQLaJmw/Lztu2bJj6cCBbAIM2/1Eyd0YxLs8eV6kWMc9BavTeAAH9xDQ4GB3/NrPlYpUl/34GzxQI8/6RcvNONd5FpeD+5Si8zvdvWTDLukgovO01lfbTyxfvvwVS5YseZM9kTD4+5hjjvmZMWaplPJ/CyFu1Fo/3pkIHvI878Z6vf7tXhA3my0eGfHcRAFXAQJAAAhkjIAQ/bYEjr5RcHDGwYN5IAAEco9AXA5OJKCnpqZOarVajzPz2ePj48/NzMxYoXyb1nqrRfSss86qzszM/LTVal2wZ8+emlLKrpW+RGv9NqXUdcy8yv6IUCk1ycwPLF26VO7YsWMWHehk+ej66SzK3cB2ebrAWXZfipRncbsfFn9w8MLsVKQcAQeHI5BVvLOymyX/Fs12XA5OJKAtiL7vrxVCbCSi0c5OGtdLKTcz81bbefZ9/3zP8z5NRNbWU5VK5eparfazzo8KPxtsY+d53jX1ev3hsDLBLhxhCGW3FiwoqqJsLxaO9OERWAc32AeHIuEdd/1dkH3g4PkrtUg5Ai4KRyCreGdlF/PtseRqy9q4HJxYQIentdsRENDheKKgByvmQGTuiCw8uw+NKFKOxyXvfrFyPQ4cHI5okfIz3NtyNxIQ6/zPt3E5GAI6CjtEGIuiyn9RRQh3oQRdHvwuUn3FJe8ocXI5FgI6HM0i5We4txDQ+NY1SpYkH+u6vuJyMAR08ljOewXXAY5ym7AN8R4lX5KMzSrXsrKbRvc7LnkniVuSz0JAh6NXpPwM9xYCGgI6SpYkH+u6vuJyMAR08lhCQM9BwHViRwkPbJfnwaFIsY5L3lFqw+VYCOhwNIuUn+HeQkBDQEfJkuRjXddXXA5OLKCVUpcS0UZmrgohtmitb5kLz8qVK8/wPO8zQohXMPOLQogPaa2/v2LFirGxsbFnhRCNYLzW+kwi4l7wgrzDk891coVbLDeBptGVBOa9EShSjscl7wAhcPD8uVKkHAEfhCOQVbyzsot5x91vb+JycCIBPTExcWKlUtlerVbPqNVqzyultrXb7U2NRuPBOeT+AyL6gN3vWUr5ZiHErVrrNyilzmVme+jKJeGlcXgEBHQ4Wijo8nRiy0qiRcrxuORtYw8OXpgPi5Qj4ayPJkZW8c7Kblm5Pw2/43JwIgFtD05h5jXGGLu/M3Vv6m9/LC+lvNIY83n7/tTU1LJWq2WMMcuUUh9h5suEEC1mbgohNgSHqqADHYUujx6LgoaATpZB/X86q1zLyu4wkXeHc8HBC6RrkXKk/4os1g41efAbeZb/+TYrAb2BmZd0HeW93hhz4XyJr5S6nZkr9vCUycnJa9vt9qgx5lO+758uhLhv0aJFp+7atesgBHQU2oCADhAAkeWfyPrN/CLFOi55dwQ0OBgC+ggEilQb/fJBGg+2/doG3vmfd+JycKIOtJTyBiIa6xLQdlnGxV3J5yml/tqeWOh53gX1en2mOzmllF9j5juCY78XSl67hMMmbD8vOw5n1PeDlLsxwDwbMilbnhcpz+KegmWrFhy8MHcVKUeiMDT8HiwHA+/B4h08LLmc8+JycJ9SdP7y7V6yYZd0ENF5Wuurg090Thz8sv0R4eLFi9+1c+fOFzqdk3XtdvsbjUbjqc7f93aOAd/WiyyazRaPjHhR+ARjgQAQAAJDi4AQ/bYEjnYBHDy0YcWNAQEgkBME4nJwIgE9NTV1UqvVetx2lsfHx5+bmZm5ryOCtwa4KaW+wMyLjDGXE1Frzr/fTkQzWuv1vu+v8jxv2+LFi6cCgY0OdPzMwxNx/p+Io0S/jPEuks9xux82R8DB6EB3I1Ck2sgDDwLv/M+3cTk4kYC2ye37/lohxEYiGiWie4wx10spNzPzVmauj4yMaCKy//tVpxjYblc3PT193Ozs7J1CiFOIqMnM1xhjHgkrGOzCEYYQfkSyf382BY29QMNz09WIIq07jLv+LsASHDx/VhUpR6LUDfweLP8D78HibWvBNeZxOTixgI5S2C7GQkCHo+g6ucItHh4B2/knkzzEu0h5Fpe8o8TJ5VhwcDiaRcrPcG/Lzf+Idf7nvLgcDAEdhR0ijEVR5b+oIoTb+RMxbPdGoEj1FZe8o+SIy7EQ0OFoFik/w72FgMa3j1GyJPlY1/UVl4MhoJPHct4ruA5wlNuEbYj3KPmSZGxWuZaV3WH6+jBJ3JJ8FgI6HL0i5We4txDQENBRsiT5WNf1BQE9T0xcgxwl7LANERslX5KMLWOuFcnnuOSdJGeSfBYCOhy9IuVnuLcQ0BDQUbIk+VjX9RWXgxN3oJVSlxLRRmauCiG2aK1vmQvPypUrz/A87zN2GztmflEI8SGt9fdXr15d2bdv3+1CiHOYuU1E64wx3wmDFuQdhpD7BfbhFstNoGl0JYF5bwRcE2iWeMcl7+CewcHzR69IOZJlfsJ2ebiorLGOy8GJBPTExMSJlUple7VaPaNWqz2vlNrWbrc3NRqNB+eQ+w+I6AP2mG4p5ZuFELdqrd+glPowM59qTyWUUk51dvCw/7ViesEXBHR4imPiQPc7PEvcjMgq17Kym8bDUlzytvcCDl44j4uUI1GqFX4Plv+B92DxHiYOTiSg7cEpzLzGGLPOOtW9qb/dbURKeaUx5vP2/ampqWWtVssYY5ZJKR8iopuNMY/a9+zfQoibtNaPQUBHocujx6Kg81/QUTKgjPEuks9JBDQ4GAK6G4Ei1UYeeBB453++jcvBSQX0BmZe0nWU93pjzIXzJb5S6nZmrnS6zruJ6K3GmL0dAX0XEd1vjPkSBHQU2oCADhAAkeWfyPrN/CLFOi55d5oW4OAFkqZIOdJvXaTRnYPt3gggz/I/78Tl4EQCWkp5AxGNdQnojxpjLu5KOU8p9df2xELP8y6o1+szUkp7uMpFcwW0EOLrWuuvhAlom7D9vOw4l+el92NzrpiD7SiIJR+LeGdDZFnkeZFiHfcUrE7jARzcQ0BnkZuBiIXt5Jwe5QpZcUJWdpFnx9KBA27mvLgc3KcUnT+Nu5ds2K8Tieg8rfXVwSemp6dHZ2dnv2x/RLh48eJ3BUd1d5ZsbLRrozsTwUOe591Yr9e/3atoms0Wj4x4UeoKY4EAEAACQ4uAEP22BI52IQsO3rnz+6lzsFKKKpXK0MYMN5YuAs1mk7S2PbZ0X8izdPHNy9XjcnAiAT01NXVSq9V63HaWx8fHn5uZmbmPiG7TWm8NgFNKfYGZFxljLiei1px/v46ZV9nlHEqpSWZ+YOnSpXLHjh2zvUC3PyLsd7rBk6Gbp7MoRQDMgXmUfIk7tkh5Frf7YbHLgoNfd+1tPHriyXFDF/q5l37+Y/ri751Jk5P2N+XxX0XKkSgoFMHven03/cFXv0fIs96RL0Kso+R2MNa133E5OJGAts74vr9WCLGRiEY7O2lcL6XczMxbmbk+MjJiHyPt/37VcZ611mdOT09XZ2dnPxtsY+d53jX1ev3hMDCxC0cYQtjGbv/+bEQs9gINz01XI4q07jDu+rsAy0FzsPrz+3nsNb6rUB51nf/7VIM2n3u8EwGNmkwtTPNe2FVdWgH9/sf2E/IsXEAjx5PneFwOTiygk996tCtAQIfj5YrEwi0dPQK2Id7j5E3UzxQpz+KSd1TMXI2HgA5Hskj5Ge7t4RGu/IaA7g91V3j3Z+3IUUWyHZeDIaDjZE4fnylScvXh7q+HwG8I6Cj5EndskfIsLnnHxS7p58oooO2a3D17Gn1DZ/PzuOOW0MGDLxBzfx9budJ3su67CLVRVgE9iDyz2egi14qQZ0FlxuVgCOj+uC3yqCIlVxTn4TcEdJR8iTu2SHkWl7zjYpf0c2UU0FbQXXl3emty7brvL6xNvu7bxrYItVFWAZ12ntn8cJVrRcgzCOges0GRAhxl0oPfELFR8iXJ2KxyLSu7aQgUCOgjM3AY10CnLehc+ZxGfkbhB1d1mTbe1idXmLvy2d5TWf2OkmNp5HhcDk7cgVZKXUpEG5m5KoTYorW+ZT4wpJQ3CyFaWutP2PdXrFgxNjY29qwQ4tffi9kfFxJRzy+8sAY6PNVcFnS4tSNHwDbEe9SciTO+SHkWl7wD3AbNwWXtQKf5ozZXYi4NcRGlPl3VZVmFZFn9jpJjaeR4XA5OJKAnJiZOrFQq26vV6hm1Wu15pdS2dru9qdFoPBgAMjExMV6pVD5NRL8vhNgUCGil1LnMbA9duSQKeBDQ4Wi5IrFwS0ePgG0I6Dh5E/UzRcqzuORtMcuCgyGgo2Zr+HgI6CMxKquQLKvf4RWSbqMuLgcnEtD24BRmXmOMWWfd697U3/6blPK9RHQCER0ztwOtlPoIM19m/42Zm0KIDcGhKr3AhIAOT7UiiYtwbw+PgN/lEe9FinVc8u5w7sA5GAI6Civ1NxYCGgLaIgAB3V+9uOb/uBycVEBvYOYlXUd5rzfGXNgNg1LK7hVt94B+eQmHlPIaIrIHrHzK9/3ThRD3LVq06NRdu3YdhIDuL4kWGuU6uaLcDWyXR8Sm8VVav7lWpDyLS94dAT1wDoaA7jdL+x8HAQ0BDQHdf7245v+4HJxIQEspbyCisS4BbZdlXBwmoLvfl1J+jZnvaDQa9jTDBV84iTA8yWxyLVvm7pz4cItHdoFhOwpiyceWMd5F8jnuKVidRsTAOXgQAvpzv+3mIBVXXGQ7g1c9mt7BHlZAu/A5eKh15XdUdnJVl2njbf1yhbkrnwMBnWaeDavfWeVZYDcuBycS0N1LNuySDiI6T2t9dZiAVkqta7fb32g0Gk91Oin3do4B39YLzGazxSMjXlS8MR4IAAEgMJQICGGn4HivLDh4EAL67necTNPT0/FASeFTtVqN1t7749ROxrNibth8TgHGvi+ZNt6BkBw2zMvqd9+JkdLAuBwcm7itH1NTUye1Wq3Hmfns8fHx52ZmZmz3+Dat9dY+BPTtRDSjtV7v+/4qz/O2LV68eGrnzp0v9MIIHejwDHL5RBxu7cgRsJ3NEo68d5zKnGdxux9ZcfAgBLSLbqxLLkq7I+qqG2pzwqXfWdVl2ngPaye2rH5nlWeZdqCtcd/31woh7PrmUSK6xxhzvZRyMzNvnbsco3sN9PT09KtmZ2fvFEKcQkRNZr7GGPNIGJBZ/YiwrCcEDcLvhU5FytJ2WB52v+9qTVZUn4MJM++nnkX12+Id1WeL1Xy5lqVte09x198FOThoDh6EgN58rpslHMcffyzt35/8oTbtH3dhDfSRjJo23oGALlueDavfWc23gd24HJyoAx3VaRfjsxLQZT0hKG2/e52KlKXtqLnqSkCn7bP1y9VJVIF4dyFSsvQ7S9suBHTUXE06HgI6KYJHfx4CGgLaIlDWB4eoFeVqvoWA7oG8S5DLmthp+91r4sjSdlYFnbbPLjsQrgV0mgdV9PI7a8zjdj+i5qir8RDQrpA8fB0IaAhoCOj+68qltqkasxEAACAASURBVEvSxEAHus+YZT3J9nmbLw9zmVxp+w0Bnd+Jw2WupZ1nENBRGKT3WAhod1gGV4KAzi8P5mm+ddlAcel31IpybTtuEyOxgI57jOzq1asr+/btu10IcQ4zt4lonTHmO2FAZrmEI6sOWRgm3e+7TK60hQ0EdH4nDgjo/iuzV57HJe/A+qA5GAK6/7j3OxICOr88mKf5FgJ6/oqMy8GJBHSSY2QnJyevbbfbrzfGXCWlnOr8ANH+14rpBV8Q0OGUnKeChoDO78QBAR1ei/10GOOSt712FhwMAd1/3PsdCQGdXx7M03wLAT1EAjrJUd5SyoeI6GZjzKPWJfu3EOImrfVjEND2OSL+K08FDQGd34kDArr/Gk2rA50FB0NA9x/3fkdCQOeXB/M030JAD5eATnKM7G4ieqsxZm9HQN9FRPcbY74EAQ0BbXMgy+Uj/U58wThXJJq2zy4JFAK6/yxJUUAPnIMhoPuPe78jIaAhoAcx57nkf1dzXr81Mneca9txvwVMtIQjyVHeUkpNRBfNFdBCiK9rrb8SJqD7PbfL5YbyZd3gPG2/ex0gkKXtqEXtKtfS9jkgUBcHVQQC2sUhLln6naVti2GSg1Sy4OBBCGgX+emqJgNhk+YRyzhI5WgBnSbeLnkwT3k2rH5nNd8GduNycCIBneQY2c6SjY1a68c7HeiHPM+7sV6vf7sXmFkd5V3WIzbT9rvXEbZZ2o5a0K7Gp+1zQKA4wvZwxLLGPO4xstaDLDh4EAK6bPmJo7yPZNCsa9IVn0e9Tln9joqT6/FxOTiRgE54lPd1zLzK/ohQKTXJzA8sXbpU7tixYxYd6ORLOFx0BbPuvKTdGRzGrk/aPrvsQKAD3T+N98q1uN0Paz0LDh6EgEYHuv/c6h7psiMa9S5c2c4TD7ryeRDzrUv+d+l3VnmWaQfaGk9wjOzo7OzsZ4Nt7DzPu6Zerz8cBiR24QhDCPtAhyN0aMQwrjvEGmi/3/BFHrdQvLPGPO76uwCAQXPwIAR02Y5YHkYuilxgDs8gyLomo/jucj1uWf2OgnfQuHFxAm5gNy4HJ+pAR3XaxXgI6HAU81TQ2IXjyHjmiUBdElmWfmdp22IYl7zDmSCdERDQ7nGFgM4vD+ZpvnXZOHLpd9SKcm07LgdDQPcZuawn2T5v8+VhLpMrbb8hoPM7cbjMtbTzrNfEkaVtCOijmc2VmCwKD0bhfpc1GdWuS9tZ12QU3/OUZxDQ80cWAnoeXJDYM8QchQqOHps2kUFAQ0BbBNLOMwjoZDww99PoQLvDMriSq4cGlyI2jpeu5tws+SCq3658zpoHs/Q7a9sQ0BDQv0YgTwUNAQ0BnfXEkfVkHZe8o046rsZDQLtC8vB1IKDzy4N5mm/RgR6yDrRS6lIi2sjMVSHEFq31LXNvcXJycnm73d4ihDiRmZ8RQrxba71/xYoVY2NjY88KIRrBeK31mUTUs2eKNdDh5J2ngoaAzu/E4bLblaWIzdK2xTCpgB40B0NAh3Nw1BEQ0PnlwTzNtxDQQySgJyYmTqxUKtur1eoZtVrteaXUtna7vanRaDwY3KaU8mtCiLu11lt833+f53lv0VpfppQ6l5k/aoy5JArZQECHo5WngoaAzu/EAQEdXovBiLROIsyCgyGg+497vyOHUUA3m03as+fX/a2+XLFzz3HHLaGDB1/oe/ngypU+VSqVI66f9UNtX852BuVpvh1WAR0111zlWRDnuE2MRD8iVEq9h5nXGGPW2Rvp3tR/9erVlWeeeWa/1noZEbWIaEQpdcD+rZS6hpkvE0K0mLkphNgQHKrSK3khoMNLO08FDQENAW0RyHLCzNJ20g50FhwMAR3OwVFHDKOAtnVx5d3fo9ETT47qTt/jX/r5j+kLa8+kyckjzz7Iuib7diBnP9ofVgGddq4tlGdZC+gNzLzEGHNjR0BfwMzrjTEX2r9td6RarX5Xa/0bwY0qpX5SqVR+s9Vq/X673R41xnzK9/3ThRD3LVq06NRdu3YdhIBOfpCKqz0S0yYyCGgIaAjopbEbGUqpgXMwBHQUedXf2GEV0O9/bD+NvaZ8e7P3F7VDo/LUsBpmAZ1mroXVVyYdaCnlDUQ01iWg7bKMi22g7ClZ7XZ7e5eA/mmz2TzziSeeeHZuktqlHsx8R6PRuC9MQNuE7efl8qQcnIyUDon2OqEtbcxxEmGyB7Vg8nBx6mXasQ4mjvlOuMvStr2vJCcRZsHBgxDQOImwnxlu/jGu5r0s6yJL21GRd4V30Ei46tH0H1pQX0dGOS4H9ylF50+p7iUb9utEIjpPa321/cScJRyvIqJ2ZwmHXdJxvFLqve12+xuNRuOpTvf6XiK6TWu9rVcC79z5fR4Z8aLmeKTxSqmj1mRleUa9XR+ktY7kQ5zBWfhtRezd7ziZpqenj7rltDFfyHaR8Q6E5HyYl9XvtPOsF+aHHkL6bQkcXdVZcPAgBPRCnBCH11x8Ju0c6cWDLu4/zjXS9rlXXWRpOw5Wrj4Dv9Nr1PXilLgcnEhA2w5zq9V6nJnPHh8ff25mZsZ2j60I3hoklJRyqxDiq1rru6SUVxLRO+0PB5VStxPRjNZ6ve/7qzzP27Z48eKpnTt3vtArGV937W2c9pqsL/7e/GuysnoytE/jf/DV9NeiZeH3MHagi4x3WCe2qHkW5ndWtZ20A50FBw9CQKNDFl+SueqIZtkFztJ2VORd4Y0OdHqd97BvmzPpQNuA+76/VgixkYhGiegeY8z1UsrNzLzVLsfwff81nufdSUQnEdGBdrt9ue06T09Pv2p2dvZOIcQpRNRk5muMMY+EJe8gyHvzuccP1Y8a0l6HHIiLLPwexjXQRcY7y1jD9tG8YjGJu/4u4MqycHDY3ND9fp7Wpoat0Yziuyu/y8qDUbA+9A0SUV5+c9SLg4vsd1h9xeXgRB3oqIC7GA8B7QLFo6+xUIKlTaIQ0MPz6/O0Yw0BnY6ATocRFr5qVhyc5VZXadfGQjwY1edA0OV9K7m08e7FRVExj7OlmrU/bNv3FdlvCOgOn2dF3lkWdJFtQ0BDQAdfXab5K+xhFe8uOtBlEdBZbnWVNgf3amCUcSu5tPEO44OyYl5UvyGgIaALuZ0QBDQENAR0/G3sBi2erb2iNjHAReCiMnNR1g8taTZQIKAhoCGgHauFrJathHU/0iQS2B6u3zegA43lZKjJ4arJIgvJsuba0ApopdSlRLSRmatCiC1a61vmUuLk5OTydru9RQhxIjM/I4R4t9Z6v93ibt++fbcLIc5hZrvF3TpjzHfCNFJRux9I7KP3JE6byCCg0XHKuuPkQkCDg8Nmjf7eRwcafJA1H6Q950FnzH/2QSY/IrQnDVYqle3VavWMWq32vFJqW7vd3tRoNB4MKMsekCKEuFtrvcX3/fd5nvcWrfVlSqkPM/OpxpirpJTWK7uDh/2vFdMLviCg+5sMoo7KSkxi0sKkVeZJK6mABgdHZbqFx4OLwEVl5qIii/eh7EDbg1OYeY0xZt3La+OUuoKZz7ei2P495yCVZUTU6hykckBrvUxK+Q0iutkY86gdK6V8SAhxk9b6MQjo8hAZJq3yxLqs3Y9eficV0OBgCOikCGTVPAEfYOlKkLtpi/dhFdAbmHlJ11He640xF1pgbHekWq1+t+so7594nnd2q9X6FhG91RiztyOg7yKi+40xX4KALo+ogoAuT6wxYbrfxk4pBQ5OqiA7nwcXgYvQgU7vMJMs+X8oBbSU8gYiGusS0B81xlxswbKnZLXb7e3dArrZbJ41MjJiO88XzRXQQoiva62/0osPszyJMMtT2opq+6Wf/5jmOwExILI0/V7IdtYnEabps8UVfh8tFLLC3MYj7ilYncYDONiRgAYXDU9dgINPdpTVR1+mjPzfq7aTcHCig1S6l2zYrxOJ6Dyt9dVdSzhe1VnbPKKU2q+1Pl5K+U0hxI1a68eDJRye591Yr9e/nVrm4MJAAAgAgQIhAA4uUDDhChAAArlCIJGAth3mVqv1ODOfPT4+/tzMzMx9RHSb1nprgIKUcqsQ4qta67uklFcS0TuNMZcopa5j5lV2vbRSapKZH1i6dKncsWPHbK4QxM0CASAABDJCABycEfAwCwSAQOkRSCSgLXq+768VQmwkotHOThrXSyk3M/PWRqNxn+/7r/E8704iOomIDrTb7csbjcZT09PTo7Ozs58NtrHzPO+aer3+cOkjAgCAABAAAhEQAAdHAAtDgQAQAAKOEEgsoB3dBy4DBIAAEAACQAAIAAEgAARygQAEdC7ChJsEAkAACAABIAAEgAAQGBYEIKCHJRK4DyAABIAAEAACQAAIAIFcIAABnYsw4SaBABAAAkAACAABIAAEhgUBCOhhiQTuAwgAASAABIAAEAACQCAXCBRaQCulLiWijcxcFUJs0VrfMqio+L6/VAjxWLPZfNvevXt/Mii7ne0B30dETETfXb58+Qcefvjh5iDsSyn/QgjxdmZuCyH+p9b6vw3C7lwbSqlPEdEyrfUfDsq2UuofmPl0IcSLHZs3z93KMc378H3/7XYXHCHEK5j5m8aYD6dpL7i2lPIDQogPdvJMMPPJnYOQ7FaVqb86e85fz8wshHhAa/2x1I12DCilrN33CiF+ycxfNsZ8clC282YHHAwOHkTOgoOpNBw8TPxbWAFtjxGvVCrbq9XqGbVa7Xml1LZ2u72p0Wg8mHZB+77/W0KIvxVCyNnZWTkoAa2U+k/M/LmXXnrp7CeffPKXUsovep73vXq9/tdp+yylvFgI8TGt9ZrXvva1i0ZHR39YqVR+94c//GEjbdvB9ZVSFxDRPxDRfYMU0FJK89JLL/3mk08++dygfLV2lFKvI6JHPc/7T7t3735WKfUtIvoLrfUDg7yPVatW+a1Wa1ulUnljrVb7Wdq2V6xYMTY2NvbUyMiI3L1790GllD186f/TWlv/U33ZHGPm/1atVv9zrVZ7QUp5jxDiTq31PakazuHFwcHg4EGlLTi4HBw8bPxbWAFtO1TMvMYYs64jNq5g5vPtwS1pF7WU8g7bgWXmu5rN5upBCeiVK1eu9DzvJGOMPSadpJQfJaLlxhj730G8RoiotWrVqpNbrdYjdo/ver2+bxCGp6enX9VsNu8XQnyJmU8blIDu2H2CiB5j5t8QQtyttf7EIHy23zbY+Gqt/9Tam56e/g+e5/1q165dBwdhf86Diz1V9Av1ev3vBmF3enr6mNnZ2Z+02+3Tms3mv46Ojj7Wbrf/ZM+ePf+ctn0ppcX6BGPMhg6vfIiIztZavzdt23m7PjgYHDyInAUHv9xMKQUHDxv/FllAb2DmJcaYGzsTne0crTfGXDiIou4I2B81m83zByWg5/p1yimnvHpkZGQ7Ef1BIKgH4bdSyi6TscLuy4MSsR2sv+J53m3tdtsuJTh/ULallFNEdNNLL730gVar9auxsTF7GuddxpjPp423lPI2IvoVEU0KIexBRV/XWv+XtO3Ovb6U8reFEJ/RWr9hwHb/WAixiZlfEEL8k9b69wZhXyn1JiL69Ojo6JqZmZn/Ozo6+jUiEoPklUH46cKGUgocDA52kUo9rwEOLg8HDxv/FlZASylvIKKxLgH9UWPMxalXdMeAlDITAT05OflaZrZCzq77/otB+RvY6XzFfp8Q4h+01p9L275Syn6rMGk7sfa4+EEK6G7flFLvJKL3DELQKaX+lojO9Tzvt5vN5r97nncvM/+dMeaLaWM+p/v8d8z8jUHanJycfD0zf97zvN9ZsmTJL37xi1/Yzvd2Y8xfDsJvpdSHmdn+zuAAET0khPgtrfU7BmE7TzbAweDgLPIVHJw+6lly8DDxb2EFtFLqiCUbnR8dnae1vjr99DpkIQsBLaV8gxDCiuc/11rbDuVAXr7vr6pUKt7u3bt/YA0qpf7fjqi9Ju0bsF9fMfN/EEK0iOhV9psH+/AwiB/UTU5OntlqtU6yx9Z3Yv4uIvp/jDHvTttvKeUnhBDHaa3/pIP5h5h52hjzx2nbttdfvXp15Zlnnnl68eLFEzt37nxhEDY7GP+pEOLVwQ8HO+vvP6S1fnva92CXjzDzsh/+8Ic/7mD+Ebt0xxjzkbRt5+364GBwMDg43aotGwcPG/8WVkBPTU2d1Gq1Hmfms8fHx5+bmZmxAue2Qe2OkIWA9n3/BCHE94UQVkwM9EdNvu+vFUJ8ePny5WuefvrpEc/zbAf6f9Tr9a+mSyFHXn3QHeiVK1eeMzIy8sVKpXI6Eb3UbDZtnt2htf5y2n5LKX+TiL7YbDbP3rt3779LKe+2Xeh6vf4/07Ztr+/7vt155DPGmHMHYS+w4fv+W4QQt46Njf3nnTt3vqiUuo2Zf26MuSnt+5iamjq11Wr9/fLly8/4yU9+sqRarX671WpdNYj112n75vr64GBwsOucmu964ODycPCw8W9hBXRngreibiMRjRLRPcaY6wdR0IENKeXeQf6IUCn1Z8z8YSGEsesyO1uM3T+odbHWPhFdwsx22zy7vdefDxLvzkPLwJdwKKVs9/H9zDwihPhHrfXHB+W3lNL+eM3+SLQihHhIa207/nYLw9Rfk5OTv8fM79JaX5a6sS4DUsr1RGR/IGzXgO946aWX/sjuPDOI+7Bre+1vC5jZs+uhjTGbB2E3jzY6D9bg4AH9NgEcDA4eFE9kxcHDxL+FFtCDSiTYAQJAAAgAASAABIAAECgPAhDQ5Yk1PAUCQAAIAAEgAASAABBwgAAEtAMQcQkgAASAABAAAkAACACB8iAAAV2eWMNTIAAEgAAQAAJAAAgAAQcIQEA7ABGXAAJAAAgAASAABIAAECgPAhDQ5Yk1PAUCQAAIAAEgAASAABBwgAAEtAMQcQkgAASAABAAAkAACACB8iAAAV2eWMNTIAAEgAAQAAJAAAgAAQcIQEA7ABGXAAJAAAgAASAABIAAECgPAhDQ5Yk1PAUCQAAIAAEgAASAABBwgAAEtAMQcQkgAASAABAAAkAACACB8iAAAV2eWMNTIAAEgAAQAAJAAAgAAQcIQEA7ABGXAAJAAAgAASAABIAAECgPAhDQ5Yk1PAUCQAAIAAEgAASAABBwgAAEtAMQcQkgAASAABAAAkAACACB8iAAAV2eWMNTIAAEgAAQAAJAAAgAAQcIQEA7ABGXyA8CU1NTJ3med6BWq72Un7vGnQIBIAAEioEAOLgYcYQXRBDQyILSIHDKKae8emRk5IlqtXpyrVb7N5eOSyl/WwhxKxFNEtFzRHSH1voTLm3gWkAACACBPCOQJgfPwUUopR4mop1a62vyjBfufbgRgIAe7vjg7hwiMDk5+VpmfqJSqZzgUkBPTk4ey8xPMfMHjDFfWrVq1cnNZvPbnuddW6/Xv+rQBVwKCAABIJBbBNLi4LmAKKX+CzPfKIT4Gwjo3KZKLm4cAjoXYcJNRkFAKfVnzPw+IUSViHYz83pjzHeUUrYzbMXuC0T0NmPMY0qpjxHRVcw8TkSPEdEfG2Oe7ojgPUKIDcx8gxCizcx/Y4y5ab57Oe2005bs3LnTXpcmJyfPYub7iOgyrfW3otw7xgIBIAAE8o5AFhxsMVu5cuU5IyMjn2PmHwghfg4BnfdMGu77h4Ae7vjg7iIioJR6EzPfJYQ4TWu9X0p5kxDiQq31b1lR3Gq19o6Ojh6/a9eug0qp64honRXTlUrl6dnZWbvk4s3GmLM6Y3/EzPeOjY1d/stf/nIFET3EzDcbYzYvdFtSygNCiFcy898bY66IePsYDgSAABDINQJZcbDv+0uFEN/1PO9yZv4jIpqBgM51Kg39zUNAD32IcINREFBKvZGIHmTm/zoyMrJ19+7dNSJie41AQAdLOJRSP2y323/WaDT+3r6/evXqyr59+/7N87w1nuftb7VaPxJCTNTr9Sft+0qp65n5d40xaxa6p+np6dF2u/3aVqt1nxBiC9ZBR4kexgIBIJB3BLLiYCnlFiKqGWM+qZS6EwI675k0/PcPAT38McIdRkRAKfVOIrIdCCum/5WIPqG1vmMeAW2XXDSZuWVNCCEEM1eY+b3VanVHs9ncY4yxy0Befk1OTl7ebrc/boyZCrsl3/c/6HneB7XWbwgbi/eBABAAAkVCYNAcLKX8AyJ6vzHmPNswgYAuUjYNry8Q0MMbG9xZDAR8338NEZ3QaDT+j+/7izzPu5SIvjgyMvI6eznbVR4dHV1ml3BIKbUQ4sNa6wcCU0qpyUqlspeZT7LLPSqVyn+s1Wo/s+9LKT8uhDhPa/07c29NSvkGIcTfa61fb03Y95RSHyaid2qtV8dwAx8BAkAACOQSgYw4eJsQ4pw5zZBXdMCro4mRyzTKxU1DQOciTLjJfhGQUr6LiP67XYZRr9e1UuoiIrq7UqlYYT3abDaftr810Vr/yC7JIKJLZmdnL927d+9TSqkPEdGmSqVyCjMvsmLbiu8XX3zxQ8ccc8wprVbrm8z8p8GSj+CeOkK91ln3fLNSapqI7mu329d3j+3XD4wDAkAACOQRgSw4uBsndKDzmDn5u2cI6PzFDHccgkCnU/wBZn4lEdn1y9cbY+7vdJHvIaILhBBXaK3vlVLaHTb+kIiWEZFut9sfazQa/xT8iJCIbmXmy+3qDvv/tdZ/NZ/5qakp2W63P0tEdgeOn9s9obXWn0OwgAAQAAJlQyALDp6LMQR02TIuG38TC2illP2KfCMzVzs/mrplPld83z/d87x/1lovtu93frB1e+drl7bdDcFuNZYNDLAKBI5EoHu9NPABAsOKADh4WCOD+0qCADg4CXr47CAQSCSgJyYmTqxUKtur1eoZtVrteaXUtna7vanRaDw49+ZXrFgxNjY29qAVy1rrEfve5OTkte12+/XGmKuklPZHWfd0fpxlxTReQCBTBIIOdKVSOd7loSuZOgXjhUMAHFy4kMKhDgLgYKTCsCOQSEArpd7DzGuMMXYvXfvDqSuY+Xwriuc6LqW8ze6hK4T4x0BASykfIiK7p+6jdqz9Wwhxk9baHmaBFxDIFAF0PzKFH8b7RAAc3CdQGJY7BMDBuQtZ6W44qYC2p7QtMcbc2BHQF3ROfbswQNL3/bd7nneJ1voPlVJtrbXXEcy7ieitxpi9nb/vIqL77VHIpYsCHAYCQAAIxEBAKQUOjoEbPgIEgAAQSIpAIgFtf4BFRGNdAvqjxpiL7Y3Zrxer1eq9lUrlglqt9u9dAloT0UVzBbQQ4uta668kdQqfBwJAAAiUAQFwcBmiDB+BABAYRgQSCejuJRv260QisvvkXt3pSNulHXarsBl7TgURnUZE/zI7O7umUqn8LyHEjVrrxzsd6Ic8z7uxXq9/uxdQzWaLR0ZebmLjBQSAABDIPQL2AJ+4ToCD4yKHzwEBIAAEDiEQl4NjE7c1OjU1ZQ+beJyZzx4fH39uZmbmPiK6TWu9db7AzO1AK6WuY+ZVdr20PbyCmR9YunSp3LFjx2yvoD777C+43+nGjlu27Fg6cGCG+OXDnAf3gm1gPqhsK2OuFcnnE05YGpuHwcELV1mRciQKl8Dvwc49wHuweB8SvG61XVwOjk3cQUH7vr9WCLHRHlLR2UnjeinlZmbe2mg0rKD+9Usp1Qp+RDg9PT06Ozv72WAbO8/zrqnX6w+HEYUV0GFjgvctyMcffyzt359NgGG730i5GYd4lyfPixTrV786voC2lQMOnp8/ipQjURgSfg+WB4H3YPEOBLRLfRWXgxML6CiF7WIsBHQ4iijo/Bd0eJQPjyhjvIvkc1zyjpIjLseCg8PRLFJ+hnsLLnIp5oB3OAKu6ysuB0NAh8cq1gjXAY5yE7ANAR0lX5KMzSrXsrI7TN2PJHFL8lkI6HD0ipSf4d5CQENAR8mS5GNd1xcE9DwxcQ1ylLDDNkRslHxJMraMuVYkn+OSd5KcSfJZCOhw9IqUn+HeQkBDQEfJkuRjXddXXA5GBzp5LOe9gusAR7lN2IZ4j5IvScZmlWtZ2UUHmggCOrxiipSf4d5CQENAR8mS5GNd11dmAlopdSkRbWTmqhBii9b6lrnwKKXeRES3MrM9wvtHzWbzyr179z7fOd77WSFEIxivtT6TiHr+SBDkHZ58rpMr3GK5CTQNUQXMeyNQpByPS94BQuDg+XOlSDkCPghHIKt4Z2UX8467DSLicnCiDrQ9KKVSqWyvVqtn1Gq155VS29rt9qZGo/FgJ909pdSTnue9effu3UZK+UkhhN2J4+NKqXOZ2R66ckl4aRweAQEdjhYKGh3o8CxxMyKrXMvKbhqTVlzytvcCDl44j4uUI1GqFX4Plv+B92DxHiYOTiSg7cEpzLzGGGMPTKHuTf07RW87z63OtnWfI6Kdxpi/VEp9hJkvs4KamZtCiA3BoSq9yAICOpxKUdD5L+jwKJe761+kHE8ioMHBENDdCBSpNvLAg8A7//NtXA5OKqA3MPOSrqO81xtjLpyb+FLK04QQ3ySiXzHzOcaYpycnJ69tt9ujxphP+b5/uhDivkWLFp26a9eugxDQUWjj6LEo6PwXdJQMKGO8i+RzXPLuNC3AwQsUS5FyBHwQjkBW8c7Kbhqd2HCUi9m4icvBiQS0lPIGIhrrEtB2WcbF8wXC9/0PCiGuMMa8sft9KeXXmPmO7sNXusfhJMLwFLcFjRMYw3FyOQKYD/ahpUh4xz0Fy+YvOLh3Bxo86JLlwq9VpLoM9/bQiDL6XDS/43JwIgHdvWTDfp1IROdpra+2AC9fvvwVS5YseVMgiu3fxxxzzM+MMUuVUuva7fY3Go3GU51Oyr2dY8C39UrcZrPFIyNev7mNcUAACACBoUZACDsFx3uBg+Phhk8BASAABAIE4nJwbOK2hqempk5qtVqPM/PZ4+Pjz83MzNiju2/TWm+175911lnVmZmZn7ZarQv27NlTs6KZiC7RWr9NKXU7Ec1ordf7vr/K87xtixcvlyRnmgAAIABJREFUntq5c+cLvcKKDnR40uOJeLDd0KI9jYdn2OERWeVaVnbTiHXc7gc4uHemFilH8lCTadRGHvxGnuV/vo3LwYkEtE1u3/fXCiE2EtEoEd1jjLleSrmZmbfazrPv++d7nvdp+00HET1VqVSurtVqP5uenn7V7OzsnUKIU4ioyczXGGMeCSsY/IgwDKFDXylhX8pwnFyOAOaDJdEi4R13/V2Qv+Dg+Su5SDkShavgN7goSr7EHVukPIvLwYkFdFzw434OAjocuSIldri3R3ZD8eAQBbHkY7PKtazsBl02l3kWl7yTRy/eFcDB4bgVKT/DvS03ByPWg31gGSYOhoCOwg4RxqKo8l9UEcKNrv/+wca7SPUFAR2l0vofW6Qc6d9rfAO5H1wUJV1ijy1SfcXlYAjo2OnT+4NFSq4oEMHvwQrJNJ7G8xDvIuVZXPKOEieXY9GBDkezSPkZ7i060C6/kQLe4Qi4rq+4HAwBHR6rWCNcBzjKTcA2RGyUfEkyNqtcy8puGg8scck7SdySfBYCOhy9IuVnuLcQ0BDQUbIk+VjX9RWXgxMLaKXUpUS0kZmrQogtWutb5sKjlHoTEd3KzPZEwh81m80r9+7d+/zq1asr+/btu10IcQ4zt4lonTHmO2HQgrzDEMJXeIP+Ci8NURUeZUxaRZm04pJ3kAHg4PmrxfUki5oMR6CMmJfR56LNeXE5OJGAnpiYOLFSqWyvVqtn1Gq155VS29rt9qZGo/Fgp9Q8pdSTnue9effu3UZK+Ul7dLfW+uOdkwhfb4y5Sko51dnBw/7XiukFXxDQILGFEACRlafzXqRYxyVvWwfg4IX5sEg5Es765X6gzlLQIc/yP+/E5eBEAtoenMLMa4wxdn9n6t7Uv1PStvPcmp6eHp2dnf2cEOJftNafllI+REQ3G2MetePs30KIm7TWj0FAR6HLo8eioPNf0FEyoIzxLpLPccm7w7ng4AWKpUg5Aj4IRyCreGdlN8uHhqLZjsvBSQX0BmZe0nWU93pjzIVz011KeZoQ4ptE9CtmPscY87SUcjcRvdUYs7cjoO8iovuNMV+CgA4ni14jUNAQ0MkyqP9PZ5VrWdlNY+KIS94dAQ0OhoA+AoEi1Ub/TJTd0kXgnf/5Ni4HJxLQUsobiGisS0B/1Bhz8XyJ7/v+B4UQVxhj3iil1ER00VwBLYT4utb6K2EC2iZsPy87btmyY+nAgWwCDNv9RMndGMS7PHlepFjHPQWr03gAB/cQ0OBgd/zaz5WKVJf9+Bs8UCPP+kXLzTjXeRaXg/uUovM73b1kwy7pIKLztNZX208sX778FUuWLHmTPZEw+PuYY475mTFmqZTyfwshbtRaP96ZCB7yPO/Ger3+7V4QN5stHhnx3EQBVwECQAAIZIyAEP22BI6+UXBwxsGDeSAABHKPQFwOTiSgp6amTmq1Wo8z89nj4+PPzczMWKF8m9Z6q0X0rLPOqs7MzPy01WpdsGfPnppSyq6VvkRr/Tal1HXMvMr+iFApNcnMDyxdulTu2LFjFh3oZPno+uksyt3Adnm6wFl2X4qUZ3G7HxZ/cPDC7FSkHAEHhyOQVbyzspsl/xbNdlwOTiSgLYi+768VQmwkotHOThrXSyk3M/NW23n2ff98z/M+TUTW1lOVSuXqWq32s86PCj8bbGPned419Xr94bAywS4cYQhltxYsKKqibC8WjvThEVgHN9gHhyLhHXf9XZB94OD5K7VIOQIuCkcgq3hnZRfz7bHkasvauBycWECHp7XbERDQ4XiioAcr5kBk7ogsPLsPjShSjscl736xcj0OHByOaJHyM9zbcjcSEOv8z7dxORgCOgo7RBiLosp/UUUId6EEXR78LlJ9xSXvKHFyORYCOhzNIuVnuLcQ0PjWNUqWJB/rur7icjAEdPJYznsF1wGOcpuwDfEeJV+SjM0q17Kym0b3Oy55J4lbks9CQIejV6T8DPcWAhoCOkqWJB/rur7icjAEdPJYQkDPQcB1YkcJD2yX58GhSLGOS95RasPlWAjocDSLlJ/h3kJAQ0BHyZLkY13XV1wOTiyglVKXEtFGZq4KIbZorW+ZC8/KlSvP8DzvM0KIVzDzi0KID2mtv79ixYqxsbGxZ4UQjWC81vpMIuJe8IK8w5PPdXKFWyw3gabRlQTmvREoUo7HJe8AIXDw/LlSpBwBH4QjkFW8s7KLecfdb2/icnAiAT0xMXFipVLZXq1Wz6jVas8rpba12+1NjUbjwTnk/gMi+oDd71lK+WYhxK1a6zcopc5lZnvoyiXhpXF4BAR0OFoo6PJ0YstKokXK8bjkbWMPDl6YD4uUI+GsjyZGVvHOym5ZuT8Nv+NycCIBbQ9OYeY1xhi7vzN1b+pvfywvpbzSGPN5+/7U1NSyVqtljDHLlFIfYebLhBAtZm4KITYEh6qgAx2FLo8ei4KGgE6WQf1/Oqtcy8ruMJF3h3PBwQukq8scaTabtGfPr78sDS0Qa/u445bQwYMvEPf8TvXwpVau9KlSqYReO2yAS7/DbHW/X0bbLn0eRJ7ZmLnINZd+Z51nWQnoDcy8pOso7/XGmAvnA0QpdTszV+zhKZOTk9e22+1RY8ynfN8/XQhx36JFi07dtWvXQQjoqOl05PgiJXYUJOB3eR4cihTruOTdEdDg4AEI6Hp9N1159/do9MSTo1BS32Nf+vmP6Qtrz6TJyam+P7PQwCLVRhQwsvLbpd2088zi6SrXXPodJc7D1MRI1IGWUt5ARGNdAtouy7i4CxBPKfXX9sRCz/MuqNfrM92ASSm/xsx3BMd+LwSoXcJhA9fPy47DGfX9IOVuDDDPRsSWLc+LlGdxT8GyVQsOXpi7XOaIFTZXPbqfxl7juyPLOVf6v0816HO/fbwzAV02PghEVRZ+5ynPLE6ucs2l31GLyrXtuBzcpxSd373uJRt2SQcRnae1vjr4ROfEwS/bHxEuXrz4XTt37nyh0zlZ1263v9FoNJ7q/H1v5xjwbb3AbDZbPDLiRcUb44EAEAACQ4mAEP22BI6+fXDwYEJaq9Vo7b0/TlVA3/2Ok2l6enowDsHKUCKQdp4FAhq5dmT443JwIgE9NTV1UqvVetx2lsfHx5+bmZm5ryOCtwa3p5T6AjMvMsZcTkStOf9+OxHNaK3X+76/yvO8bYsXL54KBPZC2Y0OdHjdu346C7d4eARsowMdJV/iji1SnsXtfljswMELZ5DLHEEHur9KdYl5fxazn3tc+px2ngUC2sW3HS79zjrWcTk4kYC2Tvu+v1YIsZGIRonoHmPM9VLKzcy8lZnrIyMjmojs/37VAYntdnXT09PHzc7O3imEOIWImsx8jTHmkTAgsQtHGELFOuY43NsjCRT7cUZBLPnYrNbBZWXXIubadpI10ODg3gLaFR9YYfP+x9JdwrH5XHdLOFz5HZUhXNdGFPtZ2XZpN+08CwS0i1xz6XeUOA8TBycW0FEdTzoeAjocwSIldri3ENBljHeRfE4qoKPUiIuxZeTgtIWNXZfqQtSkIS6i5EyR6rJfv136nHaeQUDPH9W4HAwB3W+VRBznsqgimnbeIYtiH35ns4SjbB2nIuVZXPKOUpcux0JAu0Tz0LUgoJNjmhUnuLQLAd1fHrjE3FqMy8EQ0P3FK/Io1wGOcgOwDREbJV+SjM0q17Kym0aHLy55J4lbks9CQCdBb/7PQkAnxzQrTnBpFwK6vzxwiTkE9AKYuwa5v9AeGgXbELFR8iXJ2DLmWpF8hoBOkv0Lf9ZljqQtbCCgk+eAy3hHuRuXdtPOM5ffdrj0OwreaeiruBycuAOtlLqUiDYyc1UIsUVrfctcMFauXHmG53mfsdvYMfOLQogPaa2/v3r16sq+fftuF0Kcw8xtIlpnjPlOGJBl7H6EYdL9fpESO4rv8Ls8Dy1FinVc8g5qAxw8P0u4zJG0hQ0EdBSmTz/eUe4mT3kGAT1/ZONycCIBPTExcWKlUtlerVbPqNVqzyultrXb7U2NRuPBOeT+AyL6gD2mW0r5ZiHErVrrNyilPszMp9pTCaWU9vglu4OH/a8V0wu+IKDDS9tlQYdbO3IEbJdHxKbRCeg334qUZ3HJ22IFDkYHGg2UQwhkxQku7ab9oAYBPUQC2h6cwsxrjDHr7G11b+pvc1pKeaUx5vP2/ampqWWtVssYY5ZJKR8iopuNMY/a9+zfQoibtNaPQUD3KyOG60k8SxKD7WNp//7yiHeXk1bUanNtO4mABgdDQENAQ0BH4TBX33a45sEoPri2HZeDE3WglVIbmHlJ11He640xF84HhlLqdmaudLrOu4norcaYvR0BfRcR3W+M+RIEdJRUOnqs6+SKcjewXR4Rm+VDS5HyLC55d5oW4OAFCMpljqTdGXQlarKsybLazlOeoQM9RB1oKeUNRDTWJaA/aoy5uOs2PaXUX9sTCz3Pu6Ber89IKe3hKhfNFdBCiK9rrb8SJqBtwvbzsuOWLTuWDhxILmqazSbt2dPox+zLY6ztV75yCT333AvE3PfHaOVKnyqVSv8fmGekS7+j3ghsJ8u1qHkWN9dc5Flg21WNRcm1IuVZ3FOwOo2H0nBwlPxwnZtpnxBnBbSL0+Fc+50l5nmx7ZKL0s6zQEC7yDWXfmcd67gc3KcUnd+97iUb9utEIjpPa3118Inp6enR2dnZL9sfES5evPhdwVHdnSUbG+3a6M5E8JDneTfW6/Vv9wKz2WzxyIgXFe/E4+0Z9W/f/AiNnnhy4mstdIGXfv5j+vr7z6Pp6enUbODCw40A8my445PG3QnRb0vgaOtl4uA0sO/3mrYu1977Yxp7jd/vRyKNswL67necDO6PhFrxBqedZ4GARq4dmTtxOTiRgJ6amjqp1Wo9bjvL4+Pjz83MzNxHRLdprbcGt6eU+gIzLzLGXE5ErTn/fh0zr7LLOZRSk8z8wNKlS+WOHTtme5WF/RFhv9ONyyckPBn2R1YuMe/P4uFRRbCdpzyzyGeFeVZ20/A5bvfD3kuZODhLPki7LtGBjhrdo8dnxQku7aadZ4GARgf6yPyJy8GJBLS9Bd/31wohNhLRaGcnjeullJuZeSsz10dGRuxSDfu/X3VumbXWZ05PT1dnZ2c/G2xj53neNfV6/eGwMspqF46018AFie3iOFeXa7LC4tH9PmwnW8KRpzwLxGQWpyAWKc+SrIEuEwdnyUVp1yXWQEeN7vwCOu9clHaeQWfMn2dxOTixgE6e9tGuAAEdjpdLcRF1Ta61fdxxS+jgwf7Xfrtcj5sFgboUknkiUJd+DyLP7P26yDWX9WXvKS55hzNBOiOy4uCo3riMU9p1CQEdNboQ0HERc5VrLusrqi+ubcflYAjoPiOXNoEO65Oh9fvKu7+X2tpvu+77C2vPpMlJuwV4spfroopyN65s5ynPXArotPPM3qurXHMV6yC/4pJ3lPx0ORYC2iWah67lStS4rMk4XrqujSj3kJVtl3bzxP8u/Y4S5zRyPC4HQ0D3GbmyJnbafmPiODIB08Z7WCfrPPnteuKIS959UpfzYRDQziGFgHYAqeu67PeWXNotMw/2i3ehBHTYMbIBKFLKm4UQLa31J+y/rVixYmxsbOxZIcSv94aza6OJqOemb1mRd1kTO22/IaAhoC0CaeeZywcHlxOmva+kArosHBxlgnU9yaadn+DBqNE9erzruuz3jlzaTTvPhpkH+8XbdW0n4eBEHeh+jpGdmJgYr1Qqnyai3xdCbAoEtFLqXGa2e0ZfEgU4COhwtPJU0Jg4IKAhoJfG5uEycXA48x05AjyY7AfNUfFOQ9hEuQeX8c7KLgR0f8i7jnXcJkZs4rZu9nGMrD2i+71EdAIRHTO3A62U+ggzX2b/jZmbQogNwZ7QvSCEgA5PMJfJlXZBQ0BDQENAxxfQZeLgcOaDgC6riM3S7zzNt+hAz88iWQnovo+RVUrZre7sFnYvL+GQUl5DRHZ/6E/5vn+6EOK+RYsWnbpr166DENDJflCXp4KGgIaAhoBOJKBLw8EQ0P0h4JL/+7N4eFQZbbv0Oe2GFQT0EAnoCEd52271EQK62w0p5deY+Y5Go2EPY1nwhYNUwinNFrSr45XT3tgdBwgcLaCvenR/aieeBQTqYiP9oOvjItfSzjOXfrusL3tfcTfx7zQi+j3KO/ccHM58R3egXeRm8ICXZl2CB6NG9+jxruuy3ztyabfMPNgv3i7nncBmXA5OuoTjCmY+354maG9kvqO8gxvsFtBKqXXtdvsbjUbjqc5n7+2cYritF5BZHuWd5lGuwQQ/bEdspn20KI6wPTLb08a7rHk2rH4fmgzsFBzv1c9R3kXh4HgIuflU2nUJHnQTp7xfJe08G2YezDJ2cTk4NnFbZ/s5RrYHed9ORDNa6/W+76/yPG/b4sWLp3bu3PlCLyDRgQ5Pszw9EaPzcmQ889SBcNkJyJPfLuvLYhi3+1E2Dg5nviNHuIxT2vkJHowa3aPHu4x3lLtxaTftPAsEtItvIF36HQVvl/NOYDcuBycS0NZ4r6O85y7H6O5AT09Pv2p2dvZOIcQpRNRk5muMMY+EAYkfEYYhZDtaRK5O5Et7TRbWQB8toN//WPpLOFwcGR8QmYtcSzvPgonDhd8u68veV9wfsASZUxYODme+owW0i9y0V007P8GDUaM7v4B2Fe8od+OSD9LOs2HmwawwT8LBiQV0FKddjIWADkcxTwWNiQMCehACZZgnjqQCOpwR3I7IioOjegEexDZ2UXMmzvg85dkw82AU7F1iDgG9APIuQS7rk2HafkNAQ0BDQMffhSPKpONqLAS0KyQPXwc8mBxTl/N9lLtxaTft+RYCev7Ixm1ioAPdZ6WUNbHT9hsTBwQ0BDQEdJ80HGlYnoQNeDBSaOcd7DLeUe7Gpd2051sIaAjonkd9z4UHiZ38K7y0CxoTBwQ0BDQEdBTB0u/YPPE/eLDfqC48zmW8o9yNS7tpz7cQ0EMmoJVSlxLRRmauCiG2aK1vme8WpZQ3zz2JcPXq1ZV9+/bdLoQ4h5nbRLTOGPOdsMTN6uvDsiZ22n5j4oCAhoBOJqDLwsFhc0P3+3kSNuDBqNE9erzLeEe5G5d2055vIaCHSEBPTEycWKlUtler1TNqtdrzSqlt7XZ7U6PReDC4zYmJifFKpfJpIvp9IcSm4CTCycnJa9vt9uvtHtJSSnv03j3GGPtfK6YXfEFAh5d2ngoaEwcENAR0fAFdJg4OZ74jR4AHk38DmSXmebGdpzyDgB4iAW0PTmHmNcaYdfa2ujf1t/8mpXyv3eqUiI6Z24GWUj5ERDcbYx7tjHtICHGT1voxCGgc5R2VPO14l0QW1b4r23nqQLjEPE9+u4p1kGNxf8DS4dyBc/Ajj2yPtIzuuOOW0MGDLxD3/SmilSt9qlQqUcvwiPEu45R2fqKRcGSom80m7dnTiBR/G++ouVa2PIOAHi4BvYGZlxhjbuyQ+QXMvN4Yc2H3bXbvAy2l3E1EbzXG7O0I6LuI6H5jzJcgoCGgIzFnZ7DLCTOqfVe2056oXRIoBLSbDl9CAT1wDn7dtbfx6IknRy2Rvse/9PMf0xfWnkmTk+DBvkGbM9AVF2Vp2/LglXd/j5BncaLQ+zOuHtaKkGdJmxiJduGQUt5ARGNdAvqjxpiL+xDQmogumiughRBf11p/JUxA28D187Ljli07lg4cSD7RlfWEoLT9xglcR2Zy2ngHAtrFSVSBgHZRY3ny2yWvWAzjnoLVaTwMnIPVn9/PY6/x+6HgWGNccYLLOKWdn658dlmTcYLnCvO08XbJg658tvdUVr+j5ppLzJNwcJ9SdH73upds2CUdRHSe1vrqPgS0XbKxUWv9eGcieMjzvBvr9fq3e4HZbLZ4ZMSLinfi8WU9oz5tv+3Ecfc7Tqbp6enEMSrCBdLGO5g4hg3zsvp9SPD02xI4OsOz4OBBCOiy5Sd48MjcLisflNXvrOfuuBycSEBPTU2d1Gq1Hmfms8fHx5+bmZm5j4hu01pvDRPQSqnrmHmV/RGhUmqSmR9YunSp3LFjxyw60Mm/unTRFRzEEzE6L+hADyLPhrXjlKT7YT+bBQcPQkC7+IbEZZcq7c4geDC/PJinPBtmHowiol1inoSDEwloa9j3/bW2k0xEo52dNK6XUm5m5q2NRsMK6pdf3Wugp6enR2dnZz8bbGPned419Xr94TAQsQtHGEJuf0yX9ppcV+uxDnXyiI4//ljavz/5kp1wlI8c4cp22ngHBLr53OMTrzF1iXme/HYV6yCDkqyBzoKDByGgXeSnyzilnZ/gwaMF9Psf209pLxUqW5655H+X9ZXVfJuUgxML6KiOJx0PAR2OoMvExsQRjndZhWRZ/XZZXxbDpAK6vwx1NwoC2h2WwZUgoCGgLQJpz7cQ0PPXblwOhoDukwvLmthp+42JI78TBwS0m2864pJ3n9TlfBgEtHNIaRh5MMut5NKed4ZVSJbV76i55nrLwrgcDAHdJxeWNbHT9nsYJ44+U+KIYa66kmnj7XLigICGgI5TK2GfccUJrmpyEJ1BVz67rsmstpLLEw/mKc9c8r9rv9PMtbCtMSGg52Fl1wHGmqywqS/6+8M4cUT3wt366zxNHK4n6zLWF5ZwHF1trjghT/zvyuei1GSeeDBPeTbMAjpN/g+rr8wEtFLqUiLayMxVIcQWrfUtcylxcnJyebvd3iKEOJGZnxFCvFtrvX/FihVjY2Njzwohfn3ckNb6TCLqeV4V1kCHy7s8FXRYYod7e3iES7+j2C3KpBXV57L67TrP4pJ3EK9BczCWcMSplN6fGUYezFLEZmk7anRd8gH8Tmd/+bD6isvBiZZwTExMnFipVLZXq9UzarXa80qpbe12e1Oj0XgwSEIp5deEEHdrrbf4vv8+z/PeorW+TCl1LjPbQ1cuiZKwENDhaOWpoHsldtbrosKRdi/e80SgRRHQg8gzi9VCxwbHJW97zSw4GAI6CjP0NzZsgu/vKodGueL/LLkoS9tRsHaJt70W/C6RgLYHpzDzGmPMOhv87k39V69eXXnmmWf2a62XEVGLiEaUUgfs30qpa5j5MiFEi5mbQogNwaEqvRIYAjq8vF0R6CAKutfEkfZxrmHrosKRhoB2lWtZThxp55nNkl65lkRAZ8HBENBRmKG/sRDQR559kCUf9Bcx99w/iPnW2nCVa664fxB+h/kcl4MTdaCVUhuYeUnXUd7rjTEXBt2RarX6Xa31bwTpppT6SaVS+c1Wq/X77XZ71BjzKd/3TxdC3Ldo0aJTd+3adRACOvlBKq72Q06byMIEdJbroqIQqSsySRtvlwTqsvuSpd9Z2rYYxiXvTtNi4BwMAR2FGfobGzbB93cVdKCj4OQKc1fcPwgh6ZL/8+R3WKzjcnAiAS2lvIGIxroEtF2WcbENlD0lq91ub+8S0D9tNptnPvHEE8/OTXa71IOZ75h7+Mp8xWA70P0efOvytJq0T6IKEhsncB2OetqYD+PpX2n77DLPAgHt4tTLLP3O0rbF8IQTlsbm4Sw4eBACGjwYRQoeOdbVvJdlXWRpOyryrvAOBPRVj6Z/gAzq68gox+Xg2MTd6X5cwczn2+O4O3+/h4jO01pfbf+es4TjVUTU7izhsEs6jldKvbfdbn+j0Wg81fnsvZ1jwLf1SuBms8UjI17UHE88vqxn1KfttxWxd7/jZJqenj4qRlnaTpwwMS+Qts+BgF4I85i3nfhjWfqdpe1DDyH9tgSOhrl72Zxd0pE2Bw9CQJctP3vxYOLiinmBLOsiS9sx4XLyMfid3hroXpwSl4MTCWjbYW61Wo8z89nj4+PPzczM2KO7b9Nabw2ySUq5VQjxVa31XVLKK4nonfaHg0qp24loRmu93vf9VZ7nbVu8ePHUzp07X+iViehAh9dpnp6Ie3WB0+5CoAOdbKkQOtDhtRiM6JVrcbsf9tpZcPAgBDQ6ZP3nVvdIV/yfNv8GD/PzxTpL21GRd4U3OtDpdd7D5vq4HJxIQNuA+76/VgixkYhGiegeY8z1UsrNzLzVLsfwff81nufdSUQnEdGBdrt9ue06T09Pv2p2dvZOIcQpRNRk5muMMY+EJS9+RBiGkLtfYQcFndU65LTXpoatiwpH+vAIV+vB0vY5mLQ2n3s8TU66EdAu1ttn6XeWtm084q6/C7Jv0Bw8CAHtIj9d1WTWPBiFh4KHWtRkOGqu+D9PeeaS//Pkd1is43JwYgEdnqZuR0BAh+NZlMROW9iEFVU40hDQrnIt7Vj3mjiytO1CQEfJUxdjIaBdoHjkNcBF2IVjEA9qENDzN41KI6AfeWR7z4NW5tKSndyPO24JHTz4AnHfn5p/v9asJ9kolO1K1AyioIdxF46o+wIHXZ+ouTbfvsB5yjN0u/qvyl55Hpe8+7fudiQEtFs8e4masnJRnngwT/Oty1zLk74Ke0CNy8G560C/7trbePTEk90zWOeKC+3XmmVBRyXRoiR22pgvVFRZ7gucts8uCbQoDw5ZYo4O9NFUvlBdDoIHFzrsJu0cARcNTwd6EHlms37YGihFnvcgoDs8m1X3I20CDfuK+cq7v0dFfHAYxg501rFOc815WfMszO+sMIeA7l9Apz3B9zrsJm1O6CWgs8rNtH0e1ppMO8+s38PYqCtyvIdWQCulLiWijcxcFUJs0VrfMpcSJycnl7fb7S1CiBOZ+RkhxLu11vvtFnf79u27XQhxDjPbLe7WGWO+E9ZaLquALiqJQkAPT+elyAQ6rJO1CwENDg6bNfp7H1wELhrEssVh5aIi8/9QCuiJiYkTK5XK9mq1ekatVnteKbWt3W5vajQaDwaUZQ9IEULcrbXe4vv++zzPe4vW+jKl1IeZ+VS7h7SU0lau3cHD/teK6QVfEND9TQZRR2XVAcGkhUmrzJNWUgENDo7KdAuPBxeBi8rMRRDQ0bkk0Rpou2k/M69RbDs1AAAgAElEQVQxxqyzprs39Z9zkMoyImp1DlI5oLVeJqX8BhHdbIx51H5WSvmQEOImrfVjENDlITJMWuWJNTov828dGPcHLB3OBQdHn/fm/QS4CFwEAZ3eXsxZ8v9QdqCVUhuYeUnXUd7rjTEXWrBsd6RarX636yjvn3ied3ar1foWEb3VGLO3I6DvIqL7jTFfgoAuD5Fh0ipPrLMk0GG1nbQD/f+3dzbQclRVvt+nbvVNroHcBwGRPCIYUuf0TcNCPjSiCInoDOLHE5HRhSIqijIqohgDsxwC4lMXKs48nxnGgCjgqChPwscQhZnFCHFWNL43MdPcPqdDRISgTDJ8XAHJ7e791oHu4eYm91ZX1amq7up/rzWLifd07dq/s8+//nX6VB1osCP3TETQImgRDDQMdBRFSTQDLaW8mIhGphnoC40xp9qTsLtktVqtjdMNdKPROG5oaMjOPL9xqoEWQtyqtb5xtgSyeAvHde84do9NJuzPG+/9UfoP8g1abPswxd5y7ghZmsxnio2+TvctN4NW47aWZ6vzuLtgtSceoMFRrniztIUW7Wmg09Tf2cYFNBga7GhYP3eY2ca2/XtcDU5koKcv2bBLOojoRK31ufakpizh2L+9tnlIKbVDa32AlPKnQohLtNYbOks4PM+7pFar/dwlOBwLBEAABIpKABpc1J5FXiAAAr1OIJGBtjPMzWZzAzMvGx0dfXxiYuI2IlqjtV7XSVxKuU4I8SOt9fVSyrOJ6G3GmNOUUp9i5qX2IUKlVJmZ75g/f77ctGnTZK9Dw/mBAAiAQC8QgAb3Qi/gHEAABAaRQCIDbYEFQXC6EGI1EQ2336RxkZRyLTOvq9frtwVBcIjnedcS0cFEtLPVar27Xq8/VKlUhicnJ7/ReY2d53nn12q1uwexE5AzCIAACMQlAA2OSw7fAwEQAIH4BBIb6Pih8U0QAAEQAAEQAAEQAAEQ6D8CMND912c4YxAAARAAARAAARAAgRwJwEDnCB+hQQAEQAAEQAAEQAAE+o8ADHT/9RnOGARAAARAAARAAARAIEcCMNA5wkdoEAABEAABEAABEACB/iNQaAOtlDqDiFYzc0kIcYPW+vKsuigIgvlCiHsbjcabt23b9mBWcduvB3w/ETER/XLhwoUfvvvuuxtZxJdSfkkI8RZmbgkhvqW1/loWcafGUEp9mYgWaK0/kFVspdT3mPloIcTT7ZiXTX2VY5rnEQTBW+xbcIQQL2LmnxpjLkgzXufYUsoPCyE+0q4zwcyHtjdCsq+qTP3Tfuf8RczMQog7tNafST1oO4BSysZ9nxDiT8z8A2PMF7OK3W9xoMHQ4CxqFhpMA6PBvaS/hTXQdhtx3/c3lkqlY6rV6hNKqfWtVuuKer1+Z9oDOgiCVwkhvimEkJOTkzIrA62UegUzX71r165lDzzwwJ+klNd5nverWq32t2nnLKU8VQjxGa31isMOO2zO8PDwfb7v//l9991XTzt25/hKqZOJ6HtEdFuWBlpKaXbt2vXKBx544PGscrVxlFIvI6J7PM97xfj4+KNKqX8moi9pre/I8jyWLl0aNJvN9b7vv6Zarf4+7diLFi0aGRkZeWhoaEiOj48/ppSymy/9ldba5p/qx9YYM3+tVCq9ulqtPiWlvFkIca3W+uZUA/fhwaHB0OCsyhYaPBga3Gv6W1gDbWeomHmFMeacttk4i5lPshu3pD2opZTX2BlYZr6+0Wgsz8pAL1myZInneQcbY+w26SSlvJCIFhpj7H+z+AwRUXPp0qWHNpvNn9l3fNdqte1ZBK5UKvs3Go3bhRDfZ+ajsjLQ7bj3E9G9zPxSIcRNWuvPZZGz/bXB9q/W+tM2XqVSeYnnec9u2bLlsSziT7lxsbuKfqdWq303i7iVSmWfycnJB1ut1lGNRuM/hoeH7221Wh/funXrv6YdX0ppWR9ojFnV1pXziGiZ1vp9acfut+NDg6HBWdQsNPi5yZSB0OBe098iG+hVzDzPGHNJ+0JnZ45WGmNOyWJQtw3sbxqNxklZGeipeR1++OEvHhoa2khE7+0Y6izyVkrZZTLW2P0gKxPbZn2j53lrWq2WXUpwUlaxpZRjRHTprl27PtxsNp8dGRmxu3Feb4z5dtq8pZRriOhZIioLIexGRbdqrf867bhTjy+lfK0Q4uta65dnHPdjQogrmPkpIcS/aK3fkUV8pdTriOjK4eHhFRMTE88MDw//mIhElrqSRZ4uYiiloMHQYBelNOsxoMGDo8G9pr+FNdBSyouJaGSagb7QGHNq6iO6HUBKmYuBLpfLhzGzNXJ23feXssq3E6f9E/ttQojvaa2vTju+Usr+qlC2M7F2u/gsDfT03JRSbyOi92Rh6JRS3ySiEzzPe22j0fij53m3MPN3jTHXpc18yuzzd5n5J1nGLJfLRzLztz3P+7N58+Y9+eSTT9qZ743GmK9mkbdS6gJmts8Z7CSiu4QQr9JavzWL2P0UAxoMDc6jXqHB6VPPU4N7SX8La6CVUrst2Wg/dHSi1vrc9Mvr+Qh5GGgp5cuFENY8f0FrbWcoM/kEQbDU931vfHz8321ApdRftk3t+WmfgP35iplfIoRoEtH+9pcHe/OQxQN15XL52GazebDdtr7d528nor8wxrwr7byllJ8TQuyntf54m/l5zFwxxnws7dj2+MuXL/cfeeSRh+fOnbt48+bNT2URs83400KIF3ceHGyvvz9Pa/2WtM/BLh9h5gX33Xffb9vMP2mX7hhjPpl27H47PjQYGgwNTnfUDpoG95r+FtZAj42NHdxsNjcw87LR0dHHJyYmrMFZk9XbEfIw0EEQHCiE+LUQwpqJTB9qCoLgdCHEBQsXLlzx8MMPD3meZ2eg/75Wq/0oXQnZ/ehZz0AvWbLk+KGhoet83z+aiHY1Gg1bZ9dorX+Qdt5SylcS0XWNRmPZtm3b/iilvMnOQtdqtW+lHdsePwgC++aRrxtjTsgiXidGEARvEEJ8ZWRk5NWbN29+Wim1hpn/YIy5NO3zGBsbO6LZbP7DwoULj3nwwQfnlUqlnzebzQ9msf467dxcHx8aDA12XVN7Ox40eHA0uNf0t7AGun2Bt6ZuNRENE9HNxpiLshjQnRhSym1ZPkSolPo8M18ghDB2XWb7FWO3Z7Uu1sYnotOY2b42z77e6wtZ8m7ftGS+hEMpZWcfP8TMQ0KIH2qtP5tV3lJK+/CafUjUF0LcpbW2M/72FYapf8rl8juY+e1a6zNTDzYtgJRyJRHZB4TtGvBNu3bt+qh980wW52HX9tpnC5jZs+uhjTFrs4jbjzHaN9bQ4IyeTYAGQ4Oz0om8NLiX9LfQBjqrQkIcEAABEAABEAABEACBwSEAAz04fY1MQQAEQAAEQAAEQAAEHBCAgXYAEYcAARAAARAAARAAARAYHAIw0IPT18gUBEAABEAABEAABEDAAQEYaAcQcQgQAAEQAAEQAAEQAIHBIQADPTh9jUxBAARAAARAAARAAAQcEICBdgARhwABEAABEAABEAABEBgcAjDQg9PXyBQEQAAEQAAEQAAEQMABARhoBxBxCBAAARAAARAAARAAgcEhAAM9OH2NTEEABEAABEAABEAABBwQgIF2ABGHAAEQAAEQAAEQAAEQGBwCMNCD09fIFARAAARAAARAAARAwAEBGGgHEHEIEAABEAABEAABEACBwSEAAz04fY1MQQAEQAAEQAAEQAAEHBCAgXYAEYcAARAAARAAARAAARAYHAIw0IPT18gUBEAABEAABEAABEDAAQEYaAcQcYj+ITA2Nnaw53k7q9Xqrv45a5wpCIAACBSDADS4GP2ILIhgoFEFA0Pg8MMPf/HQ0ND9pVLp0Gq1+p8uE1dKvY2Zf0hEz9Dz44qFEF/VWl/mMg6OBQIgAAL9SiBNDT7qqKPmPfPMM/+LiP5Hm88//vGPf/zI9u3bn+5XXjjv3iYAA93b/YOzc0igXC4fxsz3+75/YAoG+nJmXmiMOcfhKeNQIAACIFAYAmlqsJTy+0KIF/m+f+Yzzzwz5Pv+zUKITVrrlYUBiER6igAMdE91B07GBQGl1OeZ+f1CiBIRjTPzSmPML5RSjxPRvsz8FBG92Rhzr1LqM0T0QWYeJaJ7iehjxpiHly5demij0dgqhFjFzBcLIVrM/HfGmEv3do5Syn8UQtyqtf47FzngGCAAAiDQrwSy1uDFixcf5Pv+75rN5iH333//o5abne32fX+e1vo3/coR593bBGCge7t/cHYRCSilXsfM1wshjtJa75BSXiqEOEVr/SpripvN5rbh4eEDtmzZ8phS6lNEZGeM3+z7/sOTk5OfI6LXG2OOa7f9DTPfMjIy8u4//elPi4joLma+zBizdvppKaV+z8z/VwhxBDM3iejGUqn011hrHbED0RwEQKCvCeShwUqpNzLzN4job4QQnyCiYWb+UalUWgUN7uty6umTh4Hu6e7ByUUloJR6DRHdycz/c2hoaN34+HjVrke2x+kY6M4SDqXUfa1W6/P1ev0f7N+XL1/ub9++/T89z1vhed6OZrP5GyHE4lqt9oD9u1LqImb+c2PMiqnnValU9pmcnLyFiK5j5u8R0SGe59n10P+Enw+j9iDagwAI9DOBPDS4XC6/u9VqfVsI8d25c+d+9Nlnnx1ttVp2CcfdWmv7KyM+IOCcAAy0c6Q4YN4E7AN9RPRRIrJm+j+I6HNa62v2YqDtUo5Ge8aYhBCCmX1mfl+pVNpkl3AYY+wykOc+bZH+rDFmLCzHIAhOF0J82RizOKwt/g4CIAACRSKQtQaXy+V3MPMPiOgg+8ujZWk12PO8K7TWhxeJLXLpHQIw0L3TFzgTBwSCIDiEiA6s1+v/LwiCOZ7nnWFnhoeGhl5mD29nlYeHhxfYJRxSSi2EuEBrfUcntFKq7Pv+NmY+2C738H3/v1er1d/bv0spPyuEOFFr/WdTT1VKaU3yucaYi6Yc5z1E9Fda66UO0sIhQAAEQKAvCOShwUuWLKkMDQ39mplfap9hsaCUUu9k5i9iEqMvyqYvTxIGui+7DSc9EwEp5duJ6H/bZRi1Wk3btXFEdJPv+9ZYDzcaDSuuS+yDJXZJBhGdNjk5eca2bdseUkqdR0RX+L5/ODPPsWbbmu+nn376vH322efwZrP5U2b+dGfJR+ccjjzyyP2effbZ+4nIivVXy+Vy0P75cK3W+kr0FgiAAAgMCoE8NLhtmH9ORA/4vn9us9mcz8y3EtEdWuvPDgp75JktARjobHkjWgYE2jPFH2bm/2YFlYguMsbc3p5FvpmIThZCnKW1vkVKad+w8QEiWkBEutVqfaZer/9L5yFCIvoKM7/bru6w/7/W+m/2loKU8pVEdKUQ4kgimiCiv9daX55BuggBAiAAAj1FIA8NrlQq+09OTlp9fgMR+UT03fnz56/ctGnTZE/BwckUhkBiA62Usj+Rr2bmkhDihplMQxAER3ue969a67mWXvuBrauEEMczc8u+DcG+aqwwZJFIXxOYvl66r5PByReaADS40N07sMlBgwe26/sm8UQGuv3uxY2lUumYarX6hFJqfavVuqJer985lcCiRYtGRkZG7rRmWWs9ZP9WLpc/0Wq1jjTGfFBKaR/Kurn9cJY10/iAQK4EOjPQvu8f4HrTlVwTQ/BCEYAGF6o7kcwUAtBglEOvE0hkoJVS72HmFZ3d15RSZzHzSdYUT01cSrnGvkNXCPHDjoGWUt5FRPaduvfYtvbfQohLtdZ2Mwt8QCBXApj9yBU/gndJABrcJSg06zsC0OC+67KBO+GkBtru0jbPGHOJJaeUOrm969spHZJBELzF87zTtNYfUEq1tNZe2zCPE9GbjDHb2v++nohuN8Z8f+B6AQmDAAiAQAwCSilocAxu+AoIgAAIJCWQyEDbB7CIaGSagb7QGHOqPTH782KpVLrF9/2Tq9XqH6cZaE1Eb5xqoNtbId+YNCl8HwRAAAQGgQA0eBB6GTmCAAj0IoFEBnr6kg37cyIR2ffkntuekbbbJNtXhdm3EthYRxHRv01OTq7wff//CCEu0VpvaM9A3+V53iW1Ws2+imbGT6PR5KGh5yax8QEBEACBvidgN/CJmwQ0OC45fA8EQAAEnicQV4NjC7cNOjY2Zjeb2MDMy0ZHRx+fmJi4jYjWaK3X7a1jps5AK6U+xcxL7Xppu3kFM98xf/58GfbKmUcffZK7vdzYdgsW7Es7d04QP7eZc3YfxAbzrKptEGutSDkfeOD82DoMDZ55lBWpRqJoCfLO9toD3tnyft7wuvV2cTU4tnB3BnR7y+LVdpOK9ps0LpJSrmXmdfV63Rrq//oopZqdhwgrlcrw5OTkNzqvsfM87/xarXZ3mFBYAx3WpvN3C/mAA/alHTvy6WDE7ran3LRDfw9OnRepr1/84vgG2o4caPDe9aNINRJFIZF3tjoI3tny7hhol/4qrgYnNtBRBraLtjDQ4RQxoPt/QIf38gstBrG/i5RzXPGOUiMu20KDw2kWqT7Ds4UWuTRz4B1OwPX4iqvBMNDhfRWrhesOjnISiA0DHaVekrTNq9byittLsx9J+i3Jd2Ggw+kVqT7Ds4WBhoGOUiXJ27oeXzDQe+kT15CjdDtiw8RGqZckbQex1oqUc1zxTlIzSb4LAx1Or0j1GZ4tDDQMdJQqSd7W9fiKq8GYgU7el3s9gusOjnKaiA3zHqVekrTNq9byiosZaCIY6PARU6T6DM8WBhoGOkqVJG/renzlZqCVUmcQ0WpmLgkhbtBaXz4Vj1LqdUT0FWa2W3j/ptFonL1t27Yn2tt7PyqEqHfaa62PJaJZHxKEeIcXn+viCo842AKahqkC89kJFKnG44p3hxA0eO+1UqQagR6EE8irv/OKi+uOuxdExNXgRDPQdqMU3/c3lkqlY6rV6hNKqfWtVuuKer1+Z7vcPaXUA57nvX58fNxIKb8ohLBv4visUuoEZrabrpwWPjReaAEDHU4LAxoz0OFV4qZFXrWWV9w0LlpxxdueCzR45jouUo1EGa3IO1v9B+9sefeSBicy0HbjFGZeYYyxG6bYrbzPYuaT7Ludpwx4O/PcbL+27moi2myM+apS6pPMfKY11MzcEEKs6myqMptYwECHSykGdP8P6PBeHuxZ/yLVeBIDDQ2GgZ5OoEhjox90ELz7/3obV4OTGuhVzDxv2lbeK40xp0wtfCnlUUKInxLRs8x8vDHm4XK5/IlWqzVsjPlyEARHCyFumzNnzhFbtmx5DAY6imzs2RYDuv8HdJQKGMT+LlLOccW7PWkBDZ5hsBSpRqAH4QTy6u+84qYxExtOuZgTN3E1OJGBllJeTEQj0wy0XZZx6t46IgiCjwghzjLGvGb636WUP2bma6ZvvjK9HXYiDC9xO6CxA2M4J5ctwDzbm5Yi8Y67C5atX2jw7DPQ0EGXKhd+rCKNy/Bsn28xiDkXLe+4GpzIQE9fsmF/TiSiE7XW51rACxcufNG8efNe1zHF9t/77LPP740x85VS57RarZ/U6/WH2jMpt7S3AV8/W+E2Gk0eGvK6rW20AwEQAIGeJiCEvQTH+0CD43HDt0AABECgQyCuBscWbht4bGzs4GazuYGZl42Ojj4+MTFht+5eo7VeZ/9+3HHHlSYmJn7XbDZP3rp1a9WaZiI6TWv9ZqXUVUQ0obVeGQTBUs/z1s+dO3ds8+bNT83WrZiBDi963BFnOxtatLvx8Ap7oUVetZZX3DT6Ou7sBzR49kotUo30w5hMY2z0Q96os/6/3sbV4EQG2hZ3EASnCyFWE9EwEd1sjLlISrmWmdfZmecgCE7yPO9K+0sHET3k+/651Wr195VKZf/JyclrhRCHE1GDmc83xvwsbMDgIcIwQs//pIT3UoZzctkCzLMV0SLxjrv+rlO/0OC9j+Qi1UgUrULe0KIo9RK3bZHqLK4GJzbQceHH/R4MdDi5IhV2eLa7z4bixiEKseRt86q1vOJ2Ztlc1llc8U7ee/GOAA0O51ak+gzPdrA1GH2d7Q1LL2kwDHQUdYjQFoOq/wdVhO7GrP+ObPu7SOMLBjrKSOu+bZFqpPus8QvkDmhRlHKJ3bZI4yuuBsNAxy6f2b9YpOKKggh5Z2sk07gb74f+LlKdxRXvKP3ksi1moMNpFqk+w7PFDLTLX6TAO5yA6/EVV4NhoMP7KlYL1x0c5SQQGyY2Sr0kaZtXreUVN40blrjinaTfknwXBjqcXpHqMzxbGGgY6ChVkryt6/EVV4MTG2il1BlEtJqZS0KIG7TWl0/Fo5R6HRF9hZntjoS/aTQaZ2/btu2J5cuX+9u3b79KCHE8M7eI6BxjzC/C0EK8wwjhJ7ysf8JLw1SF9zIuWkW5aMUV704FQIP3PlpcX2QxJsMJDCLzQcy5aNe8uBqcyEAvXrz4IN/3N5ZKpWOq1eoTSqn1rVbrinq9fmd7qHlKqQc8z3v9+Pi4kVJ+0W7drbX+bHsnwiPttt9SyrH2Gzzsf62ZnvEDAw0Rm4kAhGxwZt6L1NdxxduOA2jwzHpYpBoJV/3BvqHO09Chzvr/uhNXgxMZaLtxCjOvMMbY9zvT9Jf6t4e0nXluViqV4cnJyauFEP+mtb5SSnkXEV1mjLnHtrP/FkJcqrW+FwY6ilzu2RYDuv8HdJQKGMT+LlLOccW7rbnQ4BkGS5FqBHoQTiCv/s4rbp43DUWLHVeDkxroVcw8b9pW3iuNMadMLXcp5VFCiJ8S0bPMfLwx5mEp5TgRvckYs61toK8notuNMd+HgQ4Xi9laYEDDQCeroO6/nVet5RU3jQtHXPFuG2hoMAz0bgSKNDa6V6L8li6Cd/9fb+NqcCIDLaW8mIhGphnoC40xp+6t8IMg+IgQ4ixjzGuklJqI3jjVQAshbtVa3xhmoG3BdvOx7RYs2Jd27syngxG7m15y1wb9PTh1XqS+jrsLVnviARo8i4GGBrvT126OVKRx2U2+nRtq1Fm3tNy0c11ncTW4Syu696SnL9mwSzqI6ESt9bn2GwsXLnzRvHnzXmd3JOz8e5999vm9MWa+lPKfhBCXaK03tC8Ed3med0mtVvv5bIgbjSYPDXluegFHAQEQAIGcCQjR7ZTAnicKDc658xAeBECg7wnE1eBEBnpsbOzgZrO5gZmXjY6OPj4xMWGN8hqt9TpL9LjjjitNTEz8rtlsnrx169aqUsqulT5Na/1mpdSnmHmpfYhQKVVm5jvmz58vN23aNIkZ6GT16PruLMrZIPbgzALnOftSpDqLO/th+UODZ1anItUINDicQF79nVfcPPW3aLHjanAiA20hBkFwuhBiNRENt9+kcZGUci0zr7Mzz0EQnOR53pVEZGM95Pv+udVq9ffthwq/0XmNned559dqtbvDhgnewhFGKL+1YJ1BVZTXi4WTfqEF1sFle+NQJN5x1991qg8avPeRWqQayUOLGo0Gbd1ajxL6uR1Z99tvHj322FPE3N1XlywJyPf97hrP0iqv/s4rbpGut1FrzXWdxdXgxAY6cdVHPAAMdDgwDOhszVyRhCy8unZvkVet5RU3jb6OK95R+8pVe2hwOMki1GetNk5n3/QrGj7o0PCEY7bY9Yff0ndOP5bKZfsG22SfvJjnFTcNLYrSAy7zTrvWwuosrgbDQEepmAhtXRZXhLDPNUVsGOioNRO3fV61llfcNMZXXPGO22dJvwcDHU6wCPVpTc2H7t1BI4cE4QnHbPHMQ3Vae8IBMNAx+RWhzmzqaddaWJ3F1WAY6JiFG/a1ohR2WJ7T/468Yd6j1kyc9kWqs7jiHYebi+/AQIdTLEJ9pm1qLMUwYxNO+oUWeTHPK24aN/N58U671sLqLK4Gw0BHqZgIbTGoYCQjlEuipoNYa0XKOa54JyqaBF+GgQ6HV4T6TNvUwECH11FYiyLU2UDPQCulziCi1cxcEkLcoLW+fGqnL1my5BjP874uhHgRMz8thDhPa/3rRYsWjYyMjDwqhPivpxS01scS0ayPHkC8w4YUlnDs2AHzHl4lblrkJeB5xU1j1iepgYYG772Wi1QjUUarq7xhoLuj7op3d9F2b1WU2GnXWk/OQC9evPgg3/c3lkqlY6rV6hNKqfWtVuuKer1+Z6eblVL/TkQftu97llK+XgjxFa31y5VSJzCz3XTltCiFAwMdTqsogyo802KKCfIOJ1CkGk9ioKHBM9dKkWokfES80MJV3mmbGsxAR+nVYt8kpl1rPWmg7cYpzLzCGGPf70zTX+pvn2eTUp5tjPm2/fvY2NiCZrNpjDELlFKfZOYzhRBNZm4IIVZ1NlWZraxgoMMHnSsBtZHyfr1MeLbuLxxRYnbaumQeNX4RYmdRZ5ari1dmueadxEBDg2GgpxNwVZ9pmxoY6KhKv2d7V30d50xcxk671nrVQK9i5nnTtvJeaYw5ZW8dopS6ipl9u3lKuVz+RKvVGjbGfDkIgqOFELfNmTPniC1btjwGAx2nnNMxknm/XiYKCZcDOkpc2xaxky2bSbvObB+Fvcqo2z533dcJDTQ0eIaOc91P3dZHUfQgbVMDAx2lojADnYRWTxpoKeXFRDQyzUDbZRmnTkvWU0r9rd2x0PO8k2u12sR0GFLKHzPzNZ1tv2eCZWegrTB287HtsEd9N6RmbmNF9IP3pPcqI1vYV7/W3WuM0N/J+jvqt12NsbTrrHOxdlFrrnLusI67C5b9PjR45op13U9RxkYRYvfTmOzctOSh/0Xo6yi13WnrMu+0ay3MZ8TV4C6t6N7xTl+yYX9OJKITtdbndr7R3nHwB/Yhwrlz57598+bNT9m/2W29W63WT+r1+kPtf9/S3gZ8/Wyd2Wg0eWjIi9Pf+E4MAtVqlU6/5bepvQvUFvZNbz2UKpVKjLPDV4pCIO066xjoXqw1IbqdEtizt6HBRRkBvZfHII/J3uuNYp9R2rUW5jPianAiAz02NnZws9ncYFB9UtMAACAASURBVGeWR0dHH5+YmLitbYLXdbpbKfUdZp5jjHk3ETWn/O9XEdGE1nplEARLPc9bP3fu3LGOwZ6pXDADHT6QinRnGJ7tCy1c5h0lbp6zH0WJnfYMRMdAF20GGhqMGejpBFzpYD+NyTx10BXvqNecPHN2HTvtWuvJGWgLMQiC04UQq4lomIhuNsZcJKVcy8zrmLk2NDSkicj+37PtAmH7urpKpbLf5OTktUKIw+2zasx8vjHmZ2FFhIcIwwi5XY+b9jq4sLVJ4dnubqAPOGBfwmvsolBL1tbVOtO066xjoF3seuYq5w75JGugocGzG2joQfzx3U9jsmPo8uhv13oQpceKEjvtWgvzGXE1ONEMdJSOdtUWBjqcpMtBlXdhh2cLA+2yv6PwdnnRSrvOimygo/ZZ0vbQ4HCCGJPhjFyOSZda1N2Z47rjssbT1n8Y6Ha9QrzDh3eRCjs8WwiZy/6OwtvlRSttAXV5sXbNO+7sR9S+ctUeGhxO0nWNhEd0r4P9NCZdalEU1nnGLVLstGsNBhoGuutx7VK88y7srpPGq+T6eulK2nUGAx1lJM3eFgY6nKVLDQ6PtnsLV7H7aUzmaSZd8Y7az3nm7Dp22rXWswY67jayy5cv97dv336VEOJ4Zm4R0TnGmF+EFRHEO4wQ1kBjDXR4jbhq4erikbaAFtlAQ4P3Xs2uajPOWClC7H4ak64NXZQ+L0JfR8m309Zl3mnXWk8a6ITbyF7AzEfYTVWklGPtBxDtf62ZnvEDAx1e6kUq7PBsX2jhMu8ocfMU76LETltAi2qgocEzj1ToQfLNjT50b3p7ALgck3nqIOosWZ3Zvktb/3vSQCfZRlZKeRcRXWaMuccCtP8WQlyqtb4XBjqqfdu9vcsBnXdhRyHhMu8ocfMU76LETrvOXF6sXddZkjXQ0GAY6OkEXNVnP43JPHXQFe+o15w8c3YdO+1a61UDHXsbWSnlOBG9yRizrW2gryei240x34eBjjOU0pmJzbuwo5CAkCWfCYjC26WIpl1nBTbQ0OAZihZ6kEwP+mlMutSivDQwatw8c3YdO+1a60kDnWQbWSmlfTf0G6caaCHErVrrG8MMtBXGbj62XR5be3aKqwix837BeTf93GmD/k52wYzC2jXztOusY6CLtpEKNHj2GegiaHDUcelKB/tpTOZ5zXXFO2o/55mz69hp11pPbqSSZBvZ9pKN1VrrDe0Z6Ls8z7ukVqv9fLZCwlbecYZZ/O/kvcVm/DPHN/uJQNp11jHQ2Mp77ts7u71Cg/tphGR/roM8JrOnPdgR0661Im7l/SlmXmofIlRKlZn5jvnz58tNmzZNYgY62WByeUec951hFBIu844S1/Xd+CDGTrvOijoDnXArb2hw1MHWZfsiaFE/jck8NbgIfd1lWe/WzGXeaddaT85AW5oJtvIuTU5OfqPzGjvP886v1Wp3h3Uk3sIRRgivscNr7MJrxFULV+tM014D1zHQ2Mr7uZ5nrfWxlUoFGuxqIEw7jqtxEef0XMXupzHZMdDYyjtOxcT7jqs6s9HTrrWeXAMdD3uyb8FAh/MrUmGHZ/tCC5d5R4mbp3gXJXbaAlpkAx21VpO2hwaHEyyCFvXTmMxTB4vQ1+EVvWcLl3mnXWsw0O3+g3iHl3qRCjs8Wxhol/0dhbfLi1baAgoDHbVnZ24PDQ5niTEZzsjlmHSpRd2dOa47Lms8bf2HgYaB7npcF6mwu04aW3ljK++QYgkT0W5rzeX4sjGTvAe623N22Q4GOpym6xoJj+je0KVtamCgo/Tq3tsWoc5sZmnXWpj2x9XgLl8Il7yjXR0B4h1O0uWgyruww7N1f+GIErPT1iXzqPGLEDvtOnN5sXbNO654R60TV+2hweEkXddIeET3OthPYxIz0Pm8wtTVmvO0a61nDbRS6gwiWs3MJSHEDVrry/c22KWUlwkhmlrrz9m/L1q0aGRkZORRIUS9094+2GIfcJlNLCDe4VLqUrzzLuzwbN1fOKLEhIEmciGiaddZkQ00NLjYs3NR9ciV/vfTmISBhoGebZz0pIFevHjxQb7vbyyVSsdUq9UnlFLrW63WFfV6/c5OMosXLx71ff9KInqnEOKKjoFWSp3AzBcaY06LIhAw0OG0XAmojZS2iIYVdni2MNAu+zsKb5cXrbTrrKgGGho8c8UWYVxEHY+DOiZd5h2VOeosuXlPW//DfEbcXwETLeFQSr2HmVcYY86xRTd9YxX7v0kp30dEBxLRPlNnoJVSn2TmM+3/xswNIcSqzqYqmIGOOoR3b+9yQOdd2FFIuMw7Stw8xbsosdOus6IaaGgwDPR0Aq50sJ/GZJ466Ip31GtOnjm7jp12rfWqgV7FzPOMMZe0DfTJzLzSGHPK9GJQSq1uv3/0uSUcUsrziWiOMebLQRAcLYS4bc6cOUds2bLlMRjoOEMpnZnYvAs7CgkIWfKZgCi8XYpo2nVWYAMNDZ6haKEHyfSgn8akSy3KSwOjxs0zZ9ex0661njTQUsqLiWhkmoG2yzJODTPQ0/8upfwxM19Tr9dvCzPQVhi7+dh2CxbsSzt3JhOSbmLtbRagCLHz3iEoCnv0d//Wedp11jHQV7/2ACqXx6KU1R5tXdfZgQfO71LR9jxtaPDMXem6n6IUTRFi99OY7Bi6PK65RejrKLXdaesy77RrrSd3Ipy+ZMP+nEhEJ2qtzw0z0Eqpc1qt1k/q9fpDtq1S6hYiWqO1Xj9bZzYaTR4a8uL0N74Tg0Dee9THOGV8pQ8JpF1nHQN901sPpUql0lOEhOh2SmDP04YG91RXFupkBnlMFqoj+yCZtGvNGujZtD+uBsee+bB9MjY2dnCz2dzAzMtGR0cfn5iYsLPH1gSv68JAX0VEE1rrlUEQLPU8b/3cuXPHNm/e/NRs/W0fIuz2cuPyDilqDRYldt53hlG4F4V5lJzznHlxGTvtOusY6KLNQEODMQM9nYArHeynMelSiwZRf6Pm7Jp32rXWkzPQFmIQBKcLIez65mEiutkYc5GUci0zr5u6HGP6GuhKpbL/5OTktUKIw4mowcznG2N+FtaReAtHGCEil2v/8l6bFJ7tCy1c5h0lbkdMXLzOLWrcosROu846BnrtCW6WcLjs67hPgHdqBRq891EDPUi2pKufxmSeOog6S1Zntu/SrrWeXAMd52Kf9Dsw0OEEXQ7ovAs7PFsYaJf9HYW3y4tW2nVWZAMdtc+StocGhxPEmAxn5HJMutSi7s4c1x2XNZ62/sNAt+sV4h0+vItU2OHZQshc9ncU3i4vWmkLqMuLtWveSWego/ZZ0vbQ4HCCrmskPKJ7HeynMelSi6KwzjNukWKnXWsw0DDQXY9rl+Kdd2F3nTS5XboSJW6RhCyvvNOuMxjoqD07c3sY6HCWLjU4PNruLVzF7qcxmacGu+IdtZ/zzNl17LRrDQYaBrrr8eVyQOdd2F0nDQNNO3YkX4sWhbdLEU27zmCgo/YsDHQSYi41OOp5uIrdT2PSpRblxTtq3Dxzdh077VrrWQOtlDqDiFYzc0kIcYPW+vK9FYKU8rKpOxEuX77c3759+1VCiOOZuUVE5xhjfhFWRHnNfjQaDdq6tR52ev/1dyti++03jx577Cli7vprtGRJQL7vd/+FvbR0JaD20HkXdhQQLvOOEtelmESts07sqLXmos5c5p12nRXZQA+KBuc1JqPGdTku8ozdT2MyT+ZFuO7kWWe94DPiLqNL9Bq7xYsXH+T7/sZSqXRMtVp9Qim1vtVqXVGv1+/sdMjixYtHfd+/kojeKYS4Qmv93E6E5XL5E61W60hjzAellHZnA/sGD/tfa6Zn/ORloK2YnH3Tr2j4oEPj1FpX39n1h9/Sd04/1slGD67eEpC2iIbdGXYFrt2oCELWT3Xm8qKVdp0V1UAPkgZH0QKXtRk1blFi99OYzJN5Ea47edd42rUW5jNyMdB24xRmXmGMOcd2wPSX+tv/TUr5PiI6kIj2mToDLaW8i4guM8bc0253lxDiUq31vb1qoD907w4aOSSIU2tdfSesk7s6iOOlDHkXdrc55ymgLmOnzdulkRzUvF1fMOOKd1tzB0aDo2iBy9qMGrcosQdVi6L2t2s9iBK/KLHTrrUwbxVXgxPNQCulVjHzvGlbea80xpwyvQimvwdaSjlORG8yxmxrG+jrieh2Y8z3YaCTbzWMGegoMpS8rSshS1tIYKCL9R7oQdLgqKPU1ZiMGhcGuntiYcam+yPl9xA56iz5szdpX/fC6iwXAy2lvJiIRqYZ6AuNMad2YaA1Eb1xqoEWQtyqtb4xzEDbgu3mY9stWLAv7dzppoM/eE/6M9C9tlOaLew08w7bIaibfu60cdnfUeJ2Lpguai1t3h0D7aLOBjVv13V24IHzu1S0PatykDQ4rzEZNa7LcZFn7EHVoqjMXetBlPhFiZ12rYX5jLgaHFu4bSdPX7Jhl3QQ0Yla63O7MNB2ycZqrfWG9gz0XZ7nXVKr1X4+WwE1Gk0eGvKi1JiTtmnv1d4xNrPt1+4kkYgHSTvvsD3qI55u3zdPm/eg1lmv5v282ep2SmDP8h4kDe77wd1nCQyqFvVZNxXidNOutTCfEVeDExnosbGxg5vN5gZmXjY6Ovr4xMTEbUS0Rmu9LsxAK6U+xcxL7UOESqkyM98xf/58uWnTpsnZKsI+RNjt5cbl3Vnad0guZwb7Ke+wO8Mo6uAy7yhxXc449VOdDWreruss7uyH5T9IGpzXmIwa1+W4yDP2oGpRVOau9SBK/KLETrvWwnxGXA1OZKBtRwdBcLqdSSai4fabNC6SUq5l5nX1et0a6uc+09dAVyqV4cnJyW90XmPned75tVrt7rDiyfMtHHiIMKx3ov89bG1SlCMWYS1a2mvBOjdqa09Ivha4YxRcrLfvp7xd11nc9XedsTEoGhxFC1zWZtS4RYndT2MyT+au9SBKvRUldtq1FuYz4mpwYgMdpbNdtIWBDqfoclDlXdjh2b7QwmXeUeK6FO+0ecNAJ79xcF1nccU7ao26ap+XBkc9f9f9FCV+EWIPqhZF6WeX2h81bpFip11rMNDt6spLvNPuYJfGxqV4p513WGFHERWXeUeJ61LI0ubtss4GNW/XdQYDHXW0ddfedT91F/X5VkWIPahaFKWfi9LXUXN2nXfatRbmM+JqMGagu6yctDvYpbFxKd5p5x1W2F12Dy5aEUD1IvO066xXx5c9r7jiHaHLnTbNaxIjahIudTCv2HnuTNpPY9K1oYvS30WoM5tv1FqzeUfdAdfG2dsuuGnXWtg1L64Gw0B3OVLS7uBevcCnnfdshZ3FgMaW1l0OgBmaubp4pF1ns42vLOpspgsHDHSy+pvt265qM84Zuoptx0VeO+DmOSbzZB41tqu+jhrX9U1DkWutZw20UuoMIlrNzCUhxA1a68unFkK5XF7YarVuEEIcxMyPCCHepbXesWjRopGRkZFHhRD1Tnut9bFExLMVUl6zH/0kJi4HdNp5z1bYaQ9oV1unuxSytHm7vFErSt5p15nlNFutxZ396OjkoGhwVIPhUgfzip2nHuQZOypvl1oUNXYR6szmnGd/px27Jw304sWLD/J9f2OpVDqmWq0+oZRa32q1rqjX63d2ilBK+WMhxE1a6xuCIHi/53lv0FqfqZQ6gZntpiunRSlYGOhwWi4HdJ6FnWfscMq7t3DFPO2cYaD3fIgwb+ZJDPQgaXBeYzJqXJdmLs/azDN2nsyjxnal/VHjuqwzGOh4m1klWsJhN05h5hXGmHNsB0x/qf/y5cv9Rx55ZIfWegERNYloSCm10/5bKXU+M58phGgyc0MIsaqzqQpmoLGVdxYDOuyuNIqguRLRQb1o5Zl3nrFtjSUx0IOkwVkstcGSrhdUL+9xEUV/XZrJLOrMnq+LWnN13cniejvb5E3atRZ2rY+rwUkN9CpmnjdtK++VxphTLCw7O1IqlX6ptX5pZzAopR70ff+VzWbzna1Wa9gY8+UgCI4WQtw2Z86cI7Zs2fIYDDQMdBYDOmxQRRFwV0KWtpBgBrpYM9BKqYHS4DTXA2NJ1+7XnUHWojTrzGqwq1pzdd3J4noLAz3NUUgpLyaikWkG2i7LONU2tbtktVqtjdMM9O8ajcax999//6NTD2eXejDzNVM3X9mbgcFOhOG2zg6qBQv2pZ07J4hnXVEefiwroh+8ZweNHBKEN47RYrYdgvKMHTUVV8zTzrkjYle/Nvn7kDuzPi5qLc+884xtGcbdBct+FxocdaTO3D5st7IokYqgB3mPiyi8i6JFeeXcMdBpXutnu/akXWthYzuuBiedgT6LmU+y23FbOPbnRCI6UWt9rv33lCUc+xNRq72Ewy7pOEAp9b5Wq/WTer3+UPu7t7S3AV8/WxE1Gk0eGvKi1lni9mnv1d4prpveeihVKpXE5+vqAGnnPdse9XnGdsUv6nHSznlQ62y2vPNmLoS1W/E+05fNQYPjcQwbF/Znfa11/IN38U2lFPm+v1vLPGszz9hd4EqtSZ55Z1Fnbb81ULU2m894/uYrngbHFm4b1M4wN5vNDcy8bHR09PGJiQm7dfcarfW6TnVLKdcJIX6ktb5eSnk2Eb3NPjiolLqKiCa01iuDIFjqed76uXPnjm3evPmp2UYGZqDDdcPV7EcWd6WYgd69P9O+E59tFiC8svZs4arW8sw7z9iWaNzZD2hwnIqd+TthWvTeH/2Khg861G3Q9tHsT/rXveNYKpf3XEZR1FlBaNHel5OlWWeW+SDWWk/OQNvOCILgdCHEaiIaJqKbjTEXSSnXMvM6uxwjCIJDPM+7logOJqKdrVbr3XbWuVKp7D85OXmtEOJw+w5vZj7fGPOzMHXCWzjCCLndBSvtdXBhr7H70L3pLh9Ze4K7pQwHHLAv7diRbNlM2rw7Fy3k/cI4ypt53AdYOhlkrcE/+9nGrheGFWWzhbRrZCYdTDvubHqQZ+yoD/I9P4sYfWOPPDb16FXmefZ32rHDnneKq8GJZqDDrZz7FkUVb5fGpp8eLOhFAz2o4h1ntLqqtbQFtFcvWva84op3nP5y8Z2XfWINpzUT25kh+87pe5+NzeuGOu36hIHec+Y9rwf50u7rXtWiIucNA91W/qKKNwz0nm8eSXtAz3bRGkTxjmOuYKC7ozabgPebgVZfuJ3Teqg4T3PRizfzaWtgnrwRu7feCFTkWoOBbl+niires4lJ1BnROD9l2fh5/JyFi1bvvDoqap3hZ9PuzHPYzTEM9O4c85qNhRb1jhYV2czhxiH7GwcY6AE20FZMijojiotWb120ilpnvXrR6sclHEWdxIAW9ZYWpblcp1f1ADcO6b0ud7bnfuJOYiReA62UOoOIVjNzSQhxg9b68qnzCeVyeWGr1bpBCHEQMz8ihHiX1nqHfcXd9u3brxJCHM/M9hV35xhjfhE2p1NU8R7UAY2LFi5atvYH9cLhwkBDg8OuGt39HVoELRpkLSqyBvfkDLTdadD3/Y2lUumYarX6hFJqfavVuqJer9/ZkSy7QYoQ4iat9Q1BELzf87w3aK3PVEpdwMxH2HdISyntyLVv8LD/tWZ6xg8MdHcXg6it8LPpC8SKLCSDeqPWq3knNdDQ4KhKN3N7GGgYaBjo9N56lacG96SBti/tZ+YVxphzLJzpL/WfspHKAiJqtjdS2am1XiCl/AkRXWaMucd+V0p5lxDiUq31vTDQgyNkuGgNTl/nKaC9GjupgYYGw0AnJZDX5EmvjklMoKSzjCLP/u5VA72KmedN28p7pTHmFAvLzo6USqVfTtvK+0HP85Y1m81/JqI3GWO2tQ309UR0uzHm+zDQg2OqYKAHp6/zFNBeje3AQEODkzrI9vehRdAizEBjBjqKnCRaAy2lvJiIRqYZ6AuNMafak7A7FbZarY3TDXSj0ThuaGjIzjy/caqBFkLcqrW+cbYEsniN3Uw7QuW5Q1BRY8+0K1JHyNLMe7YdmdKMa3ND7D0v1oPI3NZCkp0IocFRLnezt4UWYUxmcd2B/u/9He9p6v9sYzuJBicy0NOXbNifE4noRK31ufakpizh2L+9tnlIKbVDa32AlPKnQohLtNYbOks4PM+7pFar/dydJOJIIAACIFBcAtDg4vYtMgMBEOhtAokMtJ1hbjabG5h52ejo6OMTExO3EdEarfW6TtpSynVCiB9pra+XUp5NRG8zxpymlPoUMy+1DxEqpcrMfMf8+fPlpk2bJnsbGc4OBEAABHqDADS4N/oBZwECIDB4BBIZaIsrCILThRCriWi4/SaNi6SUa5l5Xb1evy0IgkM8z7uWiA4mop2tVuvd9Xr9oUqlMjw5OfmNzmvsPM87v1ar3T14XYCMQQAEQCA+AWhwfHb4JgiAAAjEJZDYQMcNjO+BAAiAAAiAAAiAAAiAQD8SgIHux17DOYMACIAACIAACIAACORGAAY6N/QIDAIgAAIgAAIgAAIg0I8EYKD7sddwziAAAiAAAiAAAiAAArkRgIHODT0CgwAIgAAIgAAIgAAI9COBQhtopdQZRLSamUtCiBu01pdn1UlBEMwXQtzbaDTevG3btgezitt+PeD7iYiJ6JcLFy788N13393IIr6U8ktCiLcwc0sI8S2t9deyiDs1hlLqy0S0QGv9gaxiK6W+x8xHCyGebse8bOqrHNM8jyAI3mLfgiOEeBEz/9QYc0Ga8TrHllJ+WAjxkXadCWY+tL0Rkn1VZeqf9jvnL2JmFkLcobX+TOpB2wGUUjbu+4QQf2LmHxhjvphV7H6LAw2GBmdRs9BgGhgN7iX9LayBttuI+76/sVQqHVOtVp9QSq1vtVpX1Ov1O9Me0EEQvEoI8U0hhJycnJRZGWil1CuY+epdu3Yte+CBB/4kpbzO87xf1Wq1v007ZynlqUKIz2itVxx22GFzhoeH7/N9/8/vu+++etqxO8dXSp1MRN8jotuyNNBSSrNr165XPvDAA49nlauNo5R6GRHd43neK8bHxx9VSv0zEX1Ja31HluexdOnSoNlsrvd9/zXVavX3acdetGjRyMjIyENDQ0NyfHz8MaWU3Xzpr7TWNv9UP7bGmPlrpVLp1dVq9Skp5c1CiGu11jenGrgPDw4NhgZnVbbQ4MHQ4F7T38IaaDtDxcwrjDHntM3GWcx8kt24Je1BLaW8xs7AMvP1jUZjeVYGesmSJUs8zzvYGGO3SScp5YVEtNAYY/+bxWeIiJpLly49tNls/sy+47tWq23PInClUtm/0WjcLoT4PjMflZWBbse9n4juZeaXCiFu0lp/Louc7a8Ntn+11p+28SqVyks8z3t2y5Ytj2URf8qNi91V9Du1Wu27WcStVCr7TE5OPthqtY5qNBr/MTw8fG+r1fr41q1b/zXt+FJKy/pAY8yqtq6cR0TLtNbvSzt2vx0fGgwNzqJmocHPTaYMhAb3mv4W2UCvYuZ5xphL2hc6O3O00hhzShaDum1gf9NoNE7KykBPzevwww9/8dDQ0EYiem/HUGeRt1LKLpOxxu4HWZnYNusbPc9b02q17FKCk7KKLaUcI6JLd+3a9eFms/nsyMiI3Y3zemPMt9PmLaVcQ0TPElFZCGE3KrpVa/3Xacedenwp5WuFEF/XWr8847gfE0JcwcxPCSH+RWv9jiziK6VeR0RXDg8Pr5iYmHhmeHj4x0QkstSVLPJ0EUMpBQ2GBrsopVmPAQ0eHA3uNf0trIGWUl5MRCPTDPSFxphTUx/R7QBSylwMdLlcPoyZrZGz676/lFW+nTjtn9hvE0J8T2t9ddrxlVL2V4WynYm128VnaaCn56aUehsRvScLQ6eU+iYRneB53msbjcYfPc+7hZm/a4y5Lm3mU2afv8vMP8kyZrlcPpKZv+153p/NmzfvySeffNLOfG80xnw1i7yVUhcws33OYCcR3SWEeJXW+q1ZxO6nGNBgaHAe9QoNTp96nhrcS/pbWAOtlNptyUb7oaMTtdbnpl9ez0fIw0BLKV8uhLDm+QtaaztDmcknCIKlvu974+Pj/24DKqX+sm1qz0/7BOzPV8z8EiFEk4j2t7882JuHLB6oK5fLxzabzYPttvXtPn87Ef2FMeZdaectpfycEGI/rfXH28zPY+aKMeZjace2x1++fLn/yCOPPDx37tzFmzdvfiqLmG3GnxZCvLjz4GB7/f15Wuu3pH0OdvkIMy+47777fttm/km7dMcY88m0Y/fb8aHB0GBocLqjdtA0uNf0t7AGemxs7OBms7mBmZeNjo4+PjExYQ3OmqzejpCHgQ6C4EAhxK+FENZMZPpQUxAEpwshLli4cOGKhx9+eMjzPDsD/fe1Wu1H6UrI7kfPegZ6yZIlxw8NDV3n+/7RRLSr0WjYOrtGa/2DtPOWUr6SiK5rNBrLtm3b9kcp5U12FrpWq30r7dj2+EEQ2DePfN0Yc0IW8ToxgiB4gxDiKyMjI6/evHnz00qpNcz8B2PMpWmfx9jY2BHNZvMfFi5ceMyDDz44r1Qq/bzZbH4wi/XXaefm+vjQYGiw65ra2/GgwYOjwb2mv4U10O0LvDV1q4lomIhuNsZclMWA7sSQUm7L8iFCpdTnmfkCIYSx6zLbrxi7Pat1sTY+EZ3GzPa1efb1Xl/Iknf7piXzJRxKKTv7+CFmHhJC/FBr/dms8pZS2ofX7EOivhDiLq21nfG3rzBM/VMul9/BzG/XWp+ZerBpAaSUK4nIPiBs14Bv2rVr10ftm2eyOA+7ttc+W8DMnl0PbYxZm0XcfozRvrGGBmf0bAI0GBqclU7kpcG9pL+FNtBZFRLigAAIgAAIgAAIgAAIDA4BGOjB6WtkCgIgAAIgAAIgAAIg4IAADLQDiDgECIAACIAACIAACIDA4BCAgR6cvkamIAACIAACIAACIAACDgjAQDuAiEOAAAiAAAiAAAiAAAgMDgEY6MHpa2QKAiAAAiAA0yx5+gAAAN1JREFUAiAAAiDggAAMtAOIOAQIgAAIgAAIgAAIgMDgEICBHpy+RqYgAAIgAAIgAAIgAAIOCMBAO4CIQ4AACIAACIAACIAACAwOARjowelrZAoCIAACIAACIAACIOCAAAy0A4g4BAiAAAiAAAiAAAiAwOAQgIEenL5GpiAAAiAAAiAAAiAAAg4IwEA7gIhDgAAIgAAIgAAIgAAIDA4BGOjB6WtkCgIgAAIgAAIgAAIg4IAADLQDiDgECIAACIAACIAACIDA4BCAgR6cvkamIAACIAACIAACIAACDgj8fz1CbzQFpbe/AAAAAElFTkSuQmCC\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9cd9e3eb8>"
       ]
      },
      "metadata": {},
@@ -16287,782 +1734,6 @@
     "scrolled": false
    },
    "outputs": [
-    {
-     "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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": {
-      "text/html": [
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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
     {
      "name": "stdout",
      "output_type": "stream",
@@ -17079,6 +1750,16 @@
       "final position is 6\n",
       "predicted position is 6 with confidence 100.0000%:\n"
      ]
+    },
+    {
+     "data": {
+      "image/png": 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+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x1d9cda19908>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -17105,782 +1786,6 @@
     "collapsed": false
    },
    "outputs": [
-    {
-     "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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": {
-      "text/html": [
-       "<img 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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
     {
      "name": "stdout",
      "output_type": "stream",
@@ -17897,6 +1802,16 @@
       "final position is 7\n",
       "predicted position is 8 with confidence 37.5836%:\n"
      ]
+    },
+    {
+     "data": {
+      "image/png": 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n7Y510VpbW1VQUKDXXntNg4ODamxs1Isvvmh3LEkOfrtkuuXOnaa4uFhbtmyxO8aM3HXX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\nbt1xWAAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x1d9cdaa36a0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -17925,775 +1840,9 @@
    "outputs": [
     {
      "data": {
-      "application/javascript": [
-       "/* Put everything inside the global mpl namespace */\n",
-       "window.mpl = {};\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",
-       "            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",
-       "        this.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 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);\n",
-       "        canvas.attr('height', height);\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'];\n",
-       "    var y0 = fig.canvas.height - msg['y0'];\n",
-       "    var x1 = msg['x1'];\n",
-       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
-       "    var y = canvas_pos.y;\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 overriden (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",
-       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
-       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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"
-      ],
+      "image/png": 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9FQOIOMwRIDo5loxOnTpp/fr16tOnjwoLC5WSkhLeNnToUA0dOlSStHr1au3bt89xMLRq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\nkpSamqqioqLwtj179qhdu3b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       "text/plain": [
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\">"
-      ],
-      "text/plain": [
-       "<IPython.core.display.HTML object>"
+       "<matplotlib.figure.Figure at 0x1d9ccf2a4a8>"
       ]
      },
      "metadata": {},
@@ -18849,8 +1998,9 @@
   }
  ],
  "metadata": {
+  "anaconda-cloud": {},
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python [default]",
    "language": "python",
    "name": "python3"
   },
diff --git a/Untitled.ipynb b/Untitled.ipynb
new file mode 100644
index 0000000..26d6383
--- /dev/null
+++ b/Untitled.ipynb
@@ -0,0 +1,2001 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<style>\n",
+       "@import url('http://fonts.googleapis.com/css?family=Source+Code+Pro');\n",
+       "@import url('http://fonts.googleapis.com/css?family=Lora');\n",
+       "\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Open+Sans');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Vollkorn');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Karla');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Poppins');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Arimo');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Roboto');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Lato');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Domine');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Chivo');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Cardo');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Arvo');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Crimson+Text');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Ubuntu');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Fontin');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Raleway');\n",
+       "//@import url('http://fonts.googleapis.com/css?family=Merriweather');\n",
+       "\n",
+       "\n",
+       ".CodeMirror pre {\n",
+       "    font-family: 'Source Code Pro', Consolas, monocco, monospace;\n",
+       "}\n",
+       "    div.cell{\n",
+       "        //width: 950px;\n",
+       "        margin-left: 0% !important;\n",
+       "        margin-right: auto;\n",
+       "    }\n",
+       "    div.text_cell_render{\n",
+       "        font-family: 'Lora';\n",
+       "        //font-family: 'Open Sans';\n",
+       "        //font-family: 'Karla',verdana,arial,sans-serif;\n",
+       "        //font-family: 'Roboto',verdana,arial,sans-serif;\n",
+       "        //font-family: 'Lato',verdana,arial,sans-serif;\n",
+       "        //font-family: 'Domine',verdana,arial,sans-serif;\n",
+       "        //font-family: 'Chivo',verdana,arial,sans-serif;\n",
+       "        //font-family: 'Cardo',verdana,arial,sans-serif;\n",
+       "        //font-family: 'Arvo',verdana,arial,sans-serif;\n",
+       "        //font-family: 'Poppins',verdana,arial,sans-serif;\n",
+       "        //font-family: 'Ubuntu',verdana,arial,sans-serif;\n",
+       "        //font-family: 'Fontin',verdana,arial,sans-serif;\n",
+       "        //font-family: 'Raleway',verdana,arial,sans-serif;\n",
+       "        //font-family: 'Merriweather',verdana,arial,sans-serif;\n",
+       "        //font-family: 'Crimson Text', verdana,arial,sans-serif;\n",
+       "        //font-family: verdana,arial,sans-serif;\n",
+       "        //font-family: arial,sans-serif;\n",
+       "        line-height: 125%;\n",
+       "        font-size: 130%;\n",
+       "        text-align: justify;\n",
+       "        text-justify:inter-word;\n",
+       "    }\n",
+       "    div.text_cell code {\n",
+       "        background: transparent;\n",
+       "        color: #000000;\n",
+       "        font-weight: 400;\n",
+       "        font-size: 12pt;\n",
+       "        //font-style: bold;\n",
+       "        font-family:  'Source Code Pro', Consolas, monocco, monospace;\n",
+       "   }\n",
+       "    h1 {\n",
+       "        font-family: 'Open sans',verdana,arial,sans-serif;\n",
+       "\t}\n",
+       "\n",
+       "    div.input_area {\n",
+       "        background: #F6F6F9;\n",
+       "        border: 1px solid #586e75;\n",
+       "    }\n",
+       "\n",
+       "    .text_cell_render h1 {\n",
+       "        font-weight: 200;\n",
+       "        font-size: 30pt;\n",
+       "        line-height: 100%;\n",
+       "        color:#c76c0c;\n",
+       "        margin-bottom: 0.5em;\n",
+       "        margin-top: 1em;\n",
+       "        display: block;\n",
+       "        white-space: wrap;\n",
+       "        text-align: left;\n",
+       "    }\n",
+       "    h2 {\n",
+       "        font-family: 'Open sans',verdana,arial,sans-serif;\n",
+       "        text-align: left;\n",
+       "    }\n",
+       "    .text_cell_render h2 {\n",
+       "        font-weight: 200;\n",
+       "        font-size: 16pt;\n",
+       "        font-style: italic;\n",
+       "        line-height: 100%;\n",
+       "        color:#c76c0c;\n",
+       "        margin-bottom: 0.5em;\n",
+       "        margin-top: 1.5em;\n",
+       "        display: block;\n",
+       "        white-space: wrap;\n",
+       "        text-align: left;\n",
+       "    }\n",
+       "    h3 {\n",
+       "        font-family: 'Open sans',verdana,arial,sans-serif;\n",
+       "    }\n",
+       "    .text_cell_render h3 {\n",
+       "        font-weight: 200;\n",
+       "        font-size: 14pt;\n",
+       "        line-height: 100%;\n",
+       "        color:#d77c0c;\n",
+       "        margin-bottom: 0.5em;\n",
+       "        margin-top: 2em;\n",
+       "        display: block;\n",
+       "        white-space: wrap;\n",
+       "        text-align: left;\n",
+       "    }\n",
+       "    h4 {\n",
+       "        font-family: 'Open sans',verdana,arial,sans-serif;\n",
+       "    }\n",
+       "    .text_cell_render h4 {\n",
+       "        font-weight: 100;\n",
+       "        font-size: 14pt;\n",
+       "        color:#d77c0c;\n",
+       "        margin-bottom: 0.5em;\n",
+       "        margin-top: 0.5em;\n",
+       "        display: block;\n",
+       "        white-space: nowrap;\n",
+       "    }\n",
+       "    h5 {\n",
+       "        font-family: 'Open sans',verdana,arial,sans-serif;\n",
+       "    }\n",
+       "\n",
+       "    .text_cell_render h5 {\n",
+       "        font-weight: 200;\n",
+       "        font-style: normal;\n",
+       "        color: #1d3b84;\n",
+       "        font-size: 16pt;\n",
+       "        margin-bottom: 0em;\n",
+       "        margin-top: 0.5em;\n",
+       "        display: block;\n",
+       "        white-space: nowrap;\n",
+       "    }\n",
+       "    div.output_subarea.output_text.output_pyout {\n",
+       "        overflow-x: auto;\n",
+       "        overflow-y: scroll;\n",
+       "        max-height: 50000px;\n",
+       "    }\n",
+       "    div.output_subarea.output_stream.output_stdout.output_text {\n",
+       "        overflow-x: auto;\n",
+       "        overflow-y: scroll;\n",
+       "        max-height: 50000px;\n",
+       "    }\n",
+       "    div.output_wrapper{\n",
+       "        margin-top:0.2em;\n",
+       "        margin-bottom:0.2em;\n",
+       "}\n",
+       "\n",
+       "    code{\n",
+       "        font-size: 6pt;\n",
+       "\n",
+       "    }\n",
+       "    .rendered_html code{\n",
+       "    background-color: transparent;\n",
+       "    }\n",
+       "    ul{\n",
+       "        margin: 2em;\n",
+       "    }\n",
+       "    ul li{\n",
+       "        padding-left: 0.5em;\n",
+       "        margin-bottom: 0.5em;\n",
+       "        margin-top: 0.5em;\n",
+       "    }\n",
+       "    ul li li{\n",
+       "        padding-left: 0.2em;\n",
+       "        margin-bottom: 0.2em;\n",
+       "        margin-top: 0.2em;\n",
+       "    }\n",
+       "    ol{\n",
+       "        margin: 2em;\n",
+       "    }\n",
+       "    ol li{\n",
+       "        padding-left: 0.5em;\n",
+       "        margin-bottom: 0.5em;\n",
+       "        margin-top: 0.5em;\n",
+       "    }\n",
+       "    ul li{\n",
+       "        padding-left: 0.5em;\n",
+       "        margin-bottom: 0.5em;\n",
+       "        margin-top: 0.2em;\n",
+       "    }\n",
+       "    a:link{\n",
+       "       color:#447adb;\n",
+       "    }\n",
+       "    a:visited{\n",
+       "       color: #1d3b84;\n",
+       "    }\n",
+       "    a:hover{\n",
+       "       color: #1d3b84;\n",
+       "    }\n",
+       "    a:focus{\n",
+       "       color:#447adb;\n",
+       "    }\n",
+       "    a:active{\n",
+       "       font-weight: bold;\n",
+       "       color:#447adb;\n",
+       "    }\n",
+       "    .rendered_html :link {\n",
+       "       text-decoration: underline;\n",
+       "    }\n",
+       "    .rendered_html :hover {\n",
+       "       text-decoration: none;\n",
+       "    }\n",
+       "    .rendered_html :visited {\n",
+       "      text-decoration: none;\n",
+       "    }\n",
+       "    .rendered_html :focus {\n",
+       "      text-decoration: none;\n",
+       "    }\n",
+       "    .rendered_html :active {\n",
+       "      text-decoration: none;\n",
+       "    }\n",
+       "    .warning{\n",
+       "        color: rgb( 240, 20, 20 )\n",
+       "    }\n",
+       "    hr {\n",
+       "      color: #f3f3f3;\n",
+       "      background-color: #f3f3f3;\n",
+       "      height: 1px;\n",
+       "    }\n",
+       "    blockquote{\n",
+       "      display:block;\n",
+       "      background: #fcfcfc;\n",
+       "      border-left: 5px solid #c76c0c;\n",
+       "      font-family: 'Open sans',verdana,arial,sans-serif;\n",
+       "      width:680px;\n",
+       "      padding: 10px 10px 10px 10px;\n",
+       "      text-align:justify;\n",
+       "      text-justify:inter-word;\n",
+       "      }\n",
+       "      blockquote p {\n",
+       "        margin-bottom: 0;\n",
+       "        line-height: 125%;\n",
+       "        font-size: 100%;\n",
+       "      }\n",
+       "</style>\n",
+       "<script>\n",
+       "    MathJax.Hub.Config({\n",
+       "                        TeX: {\n",
+       "                           extensions: [\"AMSmath.js\"],\n",
+       "                           equationNumbers: { autoNumber: \"AMS\", useLabelIds: true}\n",
+       "                           },\n",
+       "                tex2jax: {\n",
+       "                    inlineMath: [ ['$','$'], [\"\\\\(\",\"\\\\)\"] ],\n",
+       "                    displayMath: [ ['$$','$$'], [\"\\\\[\",\"\\\\]\"] ]\n",
+       "                },\n",
+       "                displayAlign: 'center', // Change this to 'center' to center equations.\n",
+       "                \"HTML-CSS\": {\n",
+       "                    scale:95,\n",
+       "                        availableFonts: [],\n",
+       "                        preferredFont:null,\n",
+       "                        webFont: \"TeX\",\n",
+       "                    styles: {'.MathJax_Display': {\"margin\": 4}}\n",
+       "                }\n",
+       "        });\n",
+       "</script>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "execution_count": 1,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#format the book\n",
+    "%matplotlib notebook\n",
+    "#%matplotlib inline\n",
+    "from __future__ import division, print_function\n",
+    "from book_format import load_style\n",
+    "load_style()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "from book_format import figsize, set_figsize\n",
+    "import code.book_plots as bp\n",
+    "import matplotlib.pyplot as plt"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 42,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "from contextlib import contextmanager\n",
+    "import matplotlib as mpl\n",
+    "import time\n",
+    "\n",
+    "def end_interactive(fig):\n",
+    "    \"\"\" end interaction in a plot created with %matplotlib notebook \"\"\"\n",
+    "\n",
+    "    IS_INLINE = mpl.get_backend().find('backend_inline') != -1\n",
+    "    if IS_INLINE:\n",
+    "        return\n",
+    "\n",
+    "    fig.canvas.draw()\n",
+    "    time.sleep(1.)\n",
+    "    plt.close(fig)\n",
+    "\n",
+    "    \n",
+    "@contextmanager\n",
+    "def interactive_plot(close=True, fig=None, fn=None):\n",
+    "    IS_INLINE = mpl.get_backend().find('backend_inline') != -1\n",
+    "    if fig is None and not IS_INLINE:\n",
+    "        fig = plt.figure()\n",
+    "    \n",
+    "    yield\n",
+    "    try:\n",
+    "        # if the figure only uses annotations tight_output\n",
+    "        # throws an exception\n",
+    "        if not IS_INLINE: plt.tight_layout()\n",
+    "    except:\n",
+    "        pass\n",
+    "\n",
+    "    if not IS_INLINE: \n",
+    "        plt.show()\n",
+    "\n",
+    "    if fn is not None:\n",
+    "        plt.savefig(fn)\n",
+    "        \n",
+    "    if close and not IS_INLINE:\n",
+    "        end_interactive(fig)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "from random import randint\n",
+    "def foo():\n",
+    "    xs = [randint(0,10) for x in range(10)]\n",
+    "    ys = [randint(0,10) for x in range(10)]\n",
+    "    plt.plot(xs, ys)\n",
+    "    plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "application/javascript": [
+       "/* Put everything inside the global mpl namespace */\n",
+       "window.mpl = {};\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",
+       "            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",
+       "        this.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 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);\n",
+       "        canvas.attr('height', height);\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'];\n",
+       "    var y0 = fig.canvas.height - msg['y0'];\n",
+       "    var x1 = msg['x1'];\n",
+       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
+       "    var y = canvas_pos.y;\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 overriden (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",
+       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
+       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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": {
+      "text/html": [
+       "<img 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\">"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "foo()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 43,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "application/javascript": [
+       "/* Put everything inside the global mpl namespace */\n",
+       "window.mpl = {};\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",
+       "            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",
+       "        this.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 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);\n",
+       "        canvas.attr('height', height);\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'];\n",
+       "    var y0 = fig.canvas.height - msg['y0'];\n",
+       "    var x1 = msg['x1'];\n",
+       "    var y1 = fig.canvas.height - msg['y1'];\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;\n",
+       "    var y = canvas_pos.y;\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 overriden (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",
+       "    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 + '\">');\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 dataURL = this.canvas.toDataURL();\n",
+       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\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": {
+      "text/html": [
+       "<img 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\">"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "%matplotlib notebook\n",
+    "with interactive_plot(fn='fuck'):\n",
+    "    foo()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "<img src=\"fuck.png\">"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "ename": "NameError",
+     "evalue": "name 'notebook' is not defined",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
+      "\u001b[1;32m<ipython-input-32-6515d833c950>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0ma\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnotebook\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      2\u001b[0m \u001b[0mget_ipython\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmagic\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'matplotlib $$a'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      3\u001b[0m \u001b[0mfoo\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
+      "\u001b[1;31mNameError\u001b[0m: name 'notebook' is not defined"
+     ]
+    }
+   ],
+   "source": [
+    "a = notebook\n",
+    "%matplotlib $$a\n",
+    "foo()\n"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python [default]",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.5.1"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/animations/02_no_info.gif b/animations/02_no_info.gif
index be236ca..9a83b6b 100644
Binary files a/animations/02_no_info.gif and b/animations/02_no_info.gif differ