insane.ipynb

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    "# Template molecules implemented by insane.py \n",
    "### comparing the 3D structure vs the documented schematic\n",
    "\n",
    "Insane.py is a script that generates a coarse grained complex lipid bilayer, from a list of lipid species for the upper and lower leaf of the membrane, and the probabilities of their expression.  The script uses one of several generic templates of cartesian coordinates for glycolipids, then maps a coarse grained bead configuration for each specific lipid onto that template.\n",
    "\n",
    "There is an apparent issue with two lipid species (PAP2 and PAP3) in a complex neuronal cell membrane. The structure of the generated molecule for these species prevents the model approaching energy minimization.\n",
    "\n",
    "The following suggests that there may be a problem with any species developed from the advanced (longer/branched/glycosil and ceramide based) glycolipid template which is used to generate the following species in the complex neuronal membrane.\n",
    "\n",
    "species | Upper leaf frequency | Lower leaf frequency\n",
    "---|---|---\n",
    "POP1 | 0.0 | 0.002\n",
    "POP2 | 0.0 | 0.002\n",
    "POP3 | 0.0 | 0.002\n",
    "PAP1 | 0.0 | 0.003\n",
    "PAP2 | 0.0 | 0.003\n",
    "PAP3 | 0.0 | 0.003\n",
    "POPI | 0.0 | 0.013\n",
    "PAPI | 0.0 | 0.013\n",
    "PUPI | 0.0 | 0.02\n",
    "PIPI | 0.0 | 0.005\n",
    "DPG1 | 0.009| 0.0 \n",
    "DBG1 | 0.002 | 0.0\n",
    "PNG1 | 0.002 | 0.0\n",
    "POG1 | 0.001 | 0.0\n",
    "DPG3 | 0.009 | 0.0\n",
    "DBG3 | 0.002 | 0.0\n",
    "PNG3 | 0.002 | 0.0\n",
    "\n",
    "--- "
   ]
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    "#### utility classes\n",
    "\n",
    "*Molecule:*  class to graph template structures using the x,y,z cordinate system extracted from insane.py, a list of bonded atom pair tuples hand generated from the topology schematic appearing as a comment in the insane.py script. Then to map a specific lipid structure onto that template."
   ]
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    "#default visualization is inline (select notebook for interractivity)\n",
    "%matplotlib notebook\n",
    "\n",
    "# global objects from insane.py so we can cut and paste in code from that script\n",
    "lipidsx={}\n",
    "lipidsy={}\n",
    "lipidsz={}\n",
    "\n",
    "class molecule:\n",
    "    def __init__(self,title,x,y,z):\n",
    "        self.x=x\n",
    "        self.y=y\n",
    "        self.z=z\n",
    "        self.bonds=None\n",
    "        self.title=title\n",
    "    def chart(self):\n",
    "        import mpl_toolkits\n",
    "        from mpl_toolkits.mplot3d import Axes3D\n",
    "        import matplotlib.pyplot as plt\n",
    "\n",
    "        fig=plt.figure(figsize=(10, 10), dpi= 80, facecolor='w', edgecolor='k')\n",
    "        ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "        def lowerbound(values):\n",
    "            minimum = min(values)\n",
    "            if minimum==max(values): # the model has no dimension in this axis\n",
    "                minimum = minimum - 0.5;\n",
    "            return minimum-0.2\n",
    "\n",
    "        def upperbound(values):\n",
    "            maximum = max(values)\n",
    "            if maximum==min(values): # the model has no dimension in this axis\n",
    "                maximum = maximum + 0.5;\n",
    "            return maximum+0.2\n",
    "            \n",
    "        plt.xlim(lowerbound(self.x), upperbound(self.x))\n",
    "        plt.ylim(lowerbound(self.y), upperbound(self.y))\n",
    "        ax.set_zlim(lowerbound(self.z), upperbound(self.z))\n",
    "\n",
    "        ax.scatter(self.x,self.y,self.z,color='b')\n",
    "    \n",
    "        for i in range(len(self.x)): \n",
    "            ax.text(self.x[i],self.y[i],self.z[i],'  {0}'.format(i+1), size=16 )\n",
    "        \n",
    "        if self.bonds:\n",
    "            for a,b in self.bonds:\n",
    "                ax.plot3D((self.x[a-1],self.x[b-1]),(self.y[a-1],self.y[b-1]),(self.z[a-1],self.z[b-1]), color='r')\n",
    "        plt.axis('off')\n",
    "        \n",
    "        ax.view_init(30, 45)\n",
    "        \n",
    "        ax.set_xlabel('$X$',color='green')\n",
    "        ax.set_ylabel('$Y$',color='green')\n",
    "        ax.zaxis.set_rotate_label(False) \n",
    "        ax.set_zlabel('$Z$',rotation=0,color='green')\n",
    "        plt.title(\"template[{}]\".format(self.title), size=24)\n",
    "    \n",
    "        plt.show()\n",
    "    def chartInstance(self, title, instance):\n",
    "        from mpl_toolkits.mplot3d import Axes3D\n",
    "        import matplotlib.pyplot as plt\n",
    "        \n",
    "        assert len(instance)>0, 'instance instance is empty' \n",
    "        assert len(instance)<=len(self.x), 'instance instance is longer {} than the x coordinate list {}'.format(len(instance), len(self.x)) \n",
    "        assert len(instance)<=len(self.y), 'instance instance is longer {} than the y coordinate list {}'.format(len(instance), len(self.x))  \n",
    "        assert len(instance)<=len(self.z), 'instance instance is longer {} than the z coordinate list {}'.format(len(instance), len(self.x))  \n",
    "\n",
    "\n",
    "        fig=plt.figure(figsize=(10, 10), dpi= 80, facecolor='w', edgecolor='k')\n",
    "        ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "        \n",
    "        #build list of cartesian coordinates and labels\n",
    "        x = []\n",
    "        y = []\n",
    "        z = []\n",
    "        names = []\n",
    "        for i in range(len(instance)):\n",
    "            instanceBead = instance[i]\n",
    "            if instanceBead != '-': \n",
    "                x.append(self.x[i])\n",
    "                y.append(self.y[i])\n",
    "                z.append(self.z[i])\n",
    "                names.append(instanceBead)\n",
    "        \n",
    "        def lowerbound(values):\n",
    "            minimum = min(values)\n",
    "            if minimum==max(values): # the model has no dimension in this axis\n",
    "                minimum = minimum - 0.5;\n",
    "            return minimum-0.2\n",
    "\n",
    "        def upperbound(values):\n",
    "            maximum = max(values)\n",
    "            if maximum==min(values): # the model has no dimension in this axis\n",
    "                maximum = maximum + 0.5;\n",
    "            return maximum+0.2\n",
    "            \n",
    "        plt.xlim(lowerbound(x), upperbound(x))\n",
    "        plt.ylim(lowerbound(y), upperbound(y))\n",
    "        ax.set_zlim(lowerbound(z), upperbound(z))\n",
    "        \n",
    "        for i in range(len(names)): \n",
    "            ax.scatter(x[i],y[i],z[i],color='b')\n",
    "            ax.text(x[i],y[i]+0.05,z[i],names[i], size=16 )\n",
    "\n",
    "        if self.bonds:\n",
    "            for a,b in self.bonds:\n",
    "                if (instance[a-1] != '-') and (instance[b-1] != '-'):\n",
    "                    ax.plot3D((self.x[a-1],self.x[b-1]),(self.y[a-1],self.y[b-1]),(self.z[a-1],self.z[b-1]), color='r')\n",
    "        \n",
    "        plt.axis('off')\n",
    "        ax.view_init(30, 45)\n",
    "        \n",
    "        ax.set_xlabel('$X$',color='green')\n",
    "        ax.set_ylabel('$Y$',color='green')\n",
    "        ax.zaxis.set_rotate_label(False) \n",
    "        ax.set_zlabel('$Z$',rotation=0,color='green')\n",
    "        plt.title(\"{}[{}]\".format(title,self.title), size=24)\n",
    "    \n",
    "        plt.show()\n"
   ]
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   "source": [
    "---"
   ]
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 18 bead template for simple di-acyl-glycerols [lipid]\n",
    "extracted from insane.py version 20131112.22.TAW\n",
    "\n",
    "Used to establish that the 3D structure of a generic di-acyl-glycerol maps closely to the topology schematic from the comments"
   ]
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  {
   "cell_type": "code",
   "execution_count": 4,
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       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# cut and paste from insane.py version 20131112.22.TAW \n",
    "moltype = \"lipid\"\n",
    "lipidsx[moltype] = (    0, .5,  0,  0, .5,  0,  0, .5,  0,  0,  0,  0,  0,  0,  1,  1,  1,  1,  1,  1)\n",
    "lipidsy[moltype] = (    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0)\n",
    "lipidsz[moltype] = (   10,  9,  9,  8,  8,  7,  6,  6,  5,  4,  3,  2,  1,  0,  5,  4,  3,  2,  1,  0)\n",
    "#                       1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18  19  20 \n",
    "\n",
    "lipid = molecule('lipid',lipidsx[moltype],lipidsy[moltype],lipidsz[moltype])\n",
    "# Bond pairings based on the schematic topology\n",
    "lipid.bonds = ((1,2),(1,3),(2,3),(3,4),(4,5),(5,6),(4,6),(6,7),(7,8),(7,9),(9,10),(10,11),(11,12),(12,13),(13,14),(8,15),(15,16),(16,17),(17,18),(18,19),(19,20));\n",
    "lipid.chart()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "*Schematic topology*\n",
    "~~~\n",
    "  1-3-4-6-7--9-10-11-12-13-14\n",
    "   \\| |/  |\n",
    "    2 5   8-15-16-17-18-19-20\n",
    "~~~\n",
    "\n",
    "---\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Phosphatidylcholine mapped onto the generic glycolipid template\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "POPC =\" -   -   -  NC3  -  PO4 GL1 GL2 C1A D2A C3A C4A  -   -  C1B C2B C3B C4B  -   - \".split()\n",
    "lipid.chartInstance('Phosphatidylcholine',POPC)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Coarse grained 1-palmitoyl-2-oleoyl Phosphatidylcholine from http://cgmartini.nl/index.php/force-field-parameters/lipids2/351-lipid.html?dir=PC&lipid=POPC\n",
    "![Coarse grained 1-palmitoyl-2-oleoyl phosphatidylcholine](http://cgmartini.nl/images/parameters/lipids/PC/POPC/POPC-img.png)\n",
    "Atomistic 1-palmitoyl-2-oleoyl phosphatidylcholine\n",
    "![atomistic 1-palmitoyl-2-oleoyl phosphatidylcholine](https://upload.wikimedia.org/wikipedia/commons/thumb/a/ac/1-palmitoyl-2-oleoylphosphatidylcholine.svg/450px-1-palmitoyl-2-oleoylphosphatidylcholine.svg.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "### 31 bead template for longer and branched glycosil and ceramide based glycolipids\n",
    "extracted from insane.py version 20131112.22.TAW\n",
    "\n",
    "This is the structure that exhibits problems generating PAP2 and PAP3 species but may have structural problems that extend to other species."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# cut and paste from insane.py version 20131112.22.TAW \n",
    "moltype = \"GLYCOLIPIDS\"\n",
    "lipidsx[moltype] = (    0,  .5,   0,   0,  .5,  0,  0, .5,  0,    0,   .5,    0,    0,    0,   0,    0,    0,    0,   .5,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1)\n",
    "lipidsy[moltype] = (    0,   0,   0,   0,   0,  0,  0,  0,  0,    0,    0,    0,   .5,    1,   1,    1,    1,    0,    0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0)\n",
    "lipidsz[moltype] = (    8,   9,   9,  10,  11, 11, 12, 13, 13,   13,   15,   15,   12,   11,  12,   10,   13,    7,    7,   6,   5,   5,   3,   2,   6,   5,   4,   3,   2,   1,   0)\n",
    "#                       1    2    3    4    5   6   7   8   9    10    11    12    13    14   15    16    17    18    19   20   21   22   23   24   25   26   27   28   29   30   31\n",
    "glycolipid = molecule('GLYCOLIPIDS',lipidsx[moltype],lipidsy[moltype],lipidsz[moltype])\n",
    "# Bond pairings based on the schematic topology\n",
    "glycolipid.bonds = ((1,2),(2,3),(1,3),(3,4),(4,5),(5,6),(4,6),(6,7),(7,8),(8,9),(7,9),(9,10),(10,11),(11,12),(10,12),\n",
    "                  (7,13),(13,14),(13,15),(14,15),(15,17),(14,16),\n",
    "                  (1,18),(18,25),(25,26),(26,27),(27,28),(28,29),(29,30),(30,31),\n",
    "                  (18,19),(19,20),(20,21),(21,22),(22,23),(23,24))\n",
    "glycolipid.chart()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Topology schematic \n",
    "\n",
    "~~~~\n",
    "     17-15-14-16\n",
    "         |/\n",
    "        13\n",
    "         |\n",
    " 12-10-9-7-6-4-3-1--18--25-26-27-28-29-30-31\n",
    "  |/   |/  |/  |/    |\n",
    "  11   8   5   2    19--20-21-22-23-24\n",
    "~~~~\n",
    "\n",
    "NB: the 3D representation using the cartesian coordinates from insane.py colocates bead #10 with bead #9, and colocates bead #21 and bead #22, it also adds a twist in the two acyl chain so beads #20- #24 swap x value with beads #25- #31.\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generating an instance of that template using the values for POP3 (C16:0/C18:1 Phosphatidylinositol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\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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bdpUw4cP188//+y2f9aciMqVK3vcQO2KK66QMUaXXXaZ2++9BZCAgADVqVNH/fr10wcffFDo+8z5YPfCCy/k+b6gr2BFRER4beevAJJzzkJ+q1oV5ytYkydPdp3L3VLD3rz00kuuvhfu0u6vAFKpUiW1a9dOEydO1LFjx9yev6RfwfK0Y/2FUlJSlJiYqPvuu8/16p0x7kckcyKAAPCEAAKgRHnaCT01NTXfvidOnHA98PTo0UNr1651e+ScZLx27do85/G0E/rp06c9bmRXGNHR0TLGqHHjxnm+8zWADBo0yFWrr0vN5jx/aQog6enprtfrrrnmmiJdd8mSJa7rvvjiiwXqO2rUKFffC4OuP3ZC93UeRUkEkH/+85+umr///nuf+2XZuHGj69+pMUa//vqrx7YEEACeEEAAlChfV8FyJ+dmg74e7l71Kc4HcG8efvhh13UuXHK2MMvwJiQk+Hzt0hhApOJbhjfnMrH9+/cvUN/LLrtMxpTOZXi9KYkA0rZtW9cITFpaWqHqGjt2rOu+33jjDY/tCCAAPCGAAChRRQkgHTt2LHAAqVGjRp4HK7sCSM6/XS5sAMm5EWF+r7i4O39pCyCzZ892tS/o8rkXateunYwxCg0N1e+//+5Tn2+++cZ1/WHDhuX5viIFkJwbEd5yyy2FqkmSFi1a5DrPhSt35UQAAeAJAQRAiSpsANm2bZur38MPP5xv+5z7RFy4i7ldAeTqq6+WMUbVq1fP852vAUSS7rrrLle9y5Yt8+napTWAnDlzxrVU8kUXXaQDBw74dB2n06lt27bl+iznv+ML98xwJz093bXxXkBAgDZu3JinTUUJIOnp6erUqZOr3oLOo8kp53wcb/OmCCAAPCGAAChRhQ0g//rXv1z93M3ruNCZM2dUpUoVGWPUt2/fXN8V9QHc23vuWXJOdB45cmSe7wsSQA4dOqR69eq5XpV566238u1TWgOIlHt/iZYtW2rXrl1e22/dulWdO3fWSy+9lOvzzMzMXBO7x44d63EOz7lz53LNp3n88cfdtqsIAeT48eO69dZbXbUOGDAgT5sDBw5ozJgxOnTokNdzHTx4UHXr1pUx1l4wp06d8tiWAALAEwIIgBJVmACSmZnp2ougRYsWPl8ra+QgJCREycnJrs+L+gDeu3dvXX311Xruuef09ddf68CBAzpx4oT27dun999/P9dmcrVr13b7elBBAogkrV271jVyYIxR9+7dNXfuXP3vf//TkSNHdPz4ce3cuVMffPCB7r//fkVERLjaXjjKkPP+7733Xn377bdeD2/L3BYmgEjWg35WCHE4HLr//vuVmJiovXv36vjx49q2bZveeustDRkyREFBQTLG5AkgknT06NFce5G0a9dOixYt0o4dO3Ts2DFt2bJFs2fPzrWrd58+fTxuLJkzgLz55pv5/jY7d+509S0tAaR169a5JrknJydr27ZtWrFiRZ7/Nrp16+Z2AYjdu3e7Xm/r16+f5s+fr40bN+rIkSM6duyYNmzYoGnTpqlOnTquc02YMMFr/QQQAJ4QQACUqMIEkC+++MLV55lnnvH5Wh9//LGrX86VkoojgGT193b85S9/8ThaUtAAIlkTr2+55Rafrm2MUZs2bdy+WlOQfVDye2AubACRpBUrVqhhw4Y+1XDDDTdo+/btbs9z6tQpxcTE5Nm1+8IjNDRUY8eO9bqvS84A4ssxfPhwV9/SEkB8/Xf67LPPehwxOnDgQK4ldr0dQUFBeuyxx/JseHkhAggATwggAEpUYQLIsGHDXH0unAfgTXp6umvUIOdrKUUNIDt27NDs2bM1aNAgXX755br44osVHBysiIgIXXrppbrzzjv13//+V+np6R7PUZgAkmXt2rUaO3as2rdvr6ioKIWGhio8PFz16tVTjx49FBsb63XUorQEEElKS0vTokWLNHjwYDVr1kxVq1ZVSEiIatasqejoaD366KNuN+XzVMuYMWN09dVXq0aNGgoJCVGtWrXUvn17Pf300/m+6iWVvwASEBCgiIgI1atXT+3bt9fo0aO1bNkyn5b+PX36tJYvX64HHnhAnTt3Vp06dRQaGqrQ0FBdfPHF6tixox5//HFt3rzZp/oJIAA8IYAAgA2KEkCAsogAAsATAggA2IAAgoqGAALAEwIIANgg5ypVOd+lB8oTT6+0EUAA5EQAAQAbEEBQERBAAPiCAAIANkhLS8u1VGpKSopOnz7t77KAYuV0OvP8d074AHAhAggAAAAA2xBAAAAAANiGAAIAAADANgQQAAAAALYhgAAAAACwDQEEAAAAgG0IIAAAAABsQwABAAAAYBsCCAAAAADbEEAAAAAA2IYAAgAAAMA2BBAAAAAAtiGAAAAAALANAQQAAACAbQggAAAAAGxDAAEAAABgGwIIAAAAANsQQAAAAADYhgACAAAAwDYEEAAAAAC2IYAAAAAAsA0BBAAAAIBtCCAAAAAAbEMAAQAAAGAbAggAAAAA2xBAAAAAANiGAAIAAADANgQQAAAAALYhgAAAAACwDQEEAAAAgG0IIAAAAABsQwABAAAAYBsCCAAAAADbEEAAAAAA2IYAAgAAAMA2BBAAAAAAtiGAAAAAALANAQQAAACAbQggAAAAAGxDAAEAAABgGwIIAAAAANsQQAAAAADYhgACAAAAwDYEEAAAAAC2IYAAAAAAsA0BBAAAAIBtCCAAAAAAbEMAAQAAAGAbAggAAAAA2xBAAAAAANiGAAIAAADANgQQAAAAALYhgAAAAACwDQEEAAAAgG0IIAAAAABsQwABAAAAYBsCCAAAAADbEEAAAAAA2IYAAgAAAMA2BBAAAAAAtiGAAAAAALANAQQAgAosKSlJxphcR0REhDp06KD58+e72n3++efq06ePGjdurPDwcEVGRqp169aKj4/X2bNn/XgHAMoaAggAABVYVgCJiYnR4sWL9frrrysuLk4NGzaUMUYTJ06UJM2cOVN//etfNWHCBM2ZM0cvvfSSBg4cKGOMbrzxRmVmZvr5TgCUFQQQAAAqsKwAEh8fn+vz/fv3Kzw8XBEREUpPT/fY/x//+IeMMVq3bl1JlwqgnCCAAABQgXkKIJLUtm1bGWN04MABj/2fe+45GWO0atWqkiwTQDlCAAEAoALzFEDS0tJUq1YtBQcHKzU11fV5SkqKkpOTtWvXLr3xxhuqUaOGLr74Yp08edLu0gGUUQQQAAAqsKwAMmnSJCUnJ+vIkSNat26d+vXrJ2OMBg4cmKv9sGHDck1Yb9++vdavX++n6gGURQQQAAAqMHerYBljFBwcrCFDhuQZ2fjll1+UmJioN998U0OHDtW1116rpKQk/xQPoEwigAAAUE44nVJCghQba/3T6cy/T1YAGTVqlBITE7Vq1Sp99913Pr9S9cwzzygkJESbN28uYvUAKgoCCAAA5YDTKUVHS46wDAUFZsjhyFR0dP4hxNskdF/s2LFDxhiNGzeuUP0BVDwEEAAAyoGEBMnhkIzJPhwO63NvihpANm3a5BpBAQBfEEAAACgHYmOloKDcASQoyPrcG18DyKFDh9x+fu+998oYo9dee62wpQOoYAggAACUAyU9AnLJJZeod+/emjBhgubNm6dnn31WHTt2lDFGXbt29bpZIQDkRAABAKAccM0BCTynIJMuh0PFOgfk+eefV9euXV17g0RERKh9+/aKj49XWlpaMd4JgPKOAAIAQDnhdEoJbZ5TbOBzPq+CBQB2I4AAAFCe3HKLVKmSv6sAAI8IIAAAlCc33ihFRPi7CgDwiAACAEB50qOHVK2av6sAAI8IIAAAlCddu0o1a/q7CgDwiAACAEB50qmTVKeOv6sAAI8IIAAAlCft20v16vm7CgDwiAACAEB5cs01UqNG/q4CADwigAAAUJ5cfbXUtKm/qwAAjwggAACUJ1dcIbVo4e8qAMAjAggAAOVJq1bSZZf5uwoA8IgAAgBAedK8uXTVVf6uAgA8IoAAAFCeNGkitW7t7yoAwCMCCAAA5UnDhlK7dv6uAgA8IoAAAFCe1K0rRUf7uwoA8IgAAgBAeVKrltS5s7+rAACPCCAAAJQnNWpI3bv71DQpKUnGmFxHRESEOnTooPnz57varVy5UkOHDlWLFi1UqVIl1atXT7169dI333xTUncBoBwjgAAAUJ5ERko9e/rUNCuAxMTEaPHixXr99dcVFxenhg0byhijiRMnSpJq166tSy+9VLGxsZo3b54mTZqkBg0ayBij119/vSTvBkA5RAABAKA8qVxZuukmn5pmBZD4+Phcn+/fv1/h4eGKiIhQenq6vvjiizx9Dx8+rJo1a6pWrVrKyMgoltIBVAwEEAAAyhOHQ+rd26emngKIJLVt21bGGB04cMBj//79+8sYo99//73Q5QKoeAggAACUJ8HB0m23+dTUUwBJS0tTrVq1FBwcrNTUVI/9r732WoWEhOjMmTNFKhlAxUIAAQCgPAkIkPr396lpVgCZNGmSkpOTdeTIEa1bt079+vWTMUYDBw702Pejjz6SMUaDBw8ursoBVBAEEAAAygnnuQwlmEGKbblCCQmS0+m9vbtVsIwxCg4O1pAhQ3Ty5Em3/Xbv3q2aNWuqdu3avH4FoMAIIAAAlANOpxTdIUMOk6qggPNyOKz9CL2FkKwAMmrUKCUmJmrVqlX67rvvPAYPSTpw4ICaNm2qyMhI/fjjjyVwJwDKOwIIAADlQEKC5Ag9L2PkOhwO63NPvE1Cd+fw4cNq2bKlqlSpojVr1hRT5QAqGgIIAABlWWamtGqVYhsvUZBJzxVAgoKk2FjPXQsSQI4cOaLLL79c4eHh+uqrr4rxBgBUNAQQAADKovPnpf/+V7rmGskYJQQMliPwXImMgBw7dkxXXXWVKlWqpM8//7yYbwRARUMAAQCgLDl3Tpo7V2rePDtl/OMfcm7ZqehrnHKYMwWeA5JfAGnTpo2MMRo6dKgWL16c5zh06FAx3ySA8owAAgBAWXDypDR1qhQVZQWPatWkJ5+UDh92NXHu+91aBavNpwVaBSu/AOJupaycR1JSUjHcIICKggACAEBpduiQNG6cFBlpBY+6daX//McKJBf67TerzYMP2l8nAPiIAAIAQGm0c6c0apQUFmaFihYtpHnzrFewPNmzx2o7Zox9dQJAARFAAAAoTX76SRo8WAoMtMJEu3bS8uXWpPP87Nhh9Rk7tuTrBIBCIoAAAOBvmZnSl19KN9+cvYTVjTdKn39ufeerLVusvuPGlVytAFBEBBAAAPwlI0NasUJq394KDoGB0qBBUmF3GP/lF+s8Tz9dvHUCQDEigAAAYLe0NGnBAqllSyswhIZK994rbd9etPNu2GCdb+LE4qkTAEoAAQQAALukpEjTp0v161tBoWpVa77GwYPFc/4ff7TOO2VK8ZwPAEoAAQQAgJJ25Ij01FPSRRdZAaF2benf/5ZOnCje6/zwg3X+554r3vMCQDEigAAAUFL27JH++U+pUiUrGDRtKr36qnT2bMlcb80a6zrTppXM+QGgGBBAAAAobhs3SjExUlCQFQhat5aWLfNtKd2iWL3aut4LL5TsdQCgCAggAAAUl9Wrpd69s5fS7dFD+uyzgi2lWxRJSdZ1Z86053oAUAgEEAAAiiIjQ3r/falTJ+vhPyBAuv12az6G3RITrRpeecX+awOAjwggAAAUhtMpLVokXX659dAfEiKNGGFtBugvn3xi1TJvnv9qAIB8EEAAACiI06etORYNG1oP+1WqSI8+Ku3f7+/KpA8+sGpauNDflQCARwQQAAB8cfSoNGGCVKOG9ZB/8cXS5MnS8eP+rizbu+9atS1e7O9KAMAjAggAAN7s2yc99JAUHm493DdpIs2aJZ054+/K8lq+3Kpx6VKfmiclJckYk+uIiIhQhw4dNH/+/Dztt2/frpEjR6pJkyYKCwtTtWrV1KVLF82dO1fnfVjha+7cua7r/PHHHwW+PQDlAwEEAAB3fvlFGjZMCg62HuqvukpaskRKT1Q3A30AACAASURBVPd3ZZ4tW2bV+tZbPjXPCiAxMTFavHixXn/9dcXFxalhw4YyxmjixImutsuXL5fD4VBERIQeeOABzZ07V9OmTVPnzp1ljFGPHj106tQpj9c6cuSIqlevrsqVKxNAgAqOAAIAQE7ffiv16ZO9lG63btJHH9m3lG5RvPmmVfM77/jUPCuAxMfH5/p8//79Cg8PV0REhNLT07Vx40aFhYWpUaNG2r17d57zjB8/XsYY/e1vf/N4rZiYGF111VWKiYkhgAAVHAEEAIDMTCtkdO2aHTz69LF2Fi9LFi2yan/vPZ+aewogktS2bVsZY3TgwAH17dtXxhh98sknbs+TmZmpDh06yBijDRs25Pl+1apVCggI0Ndff61hw4YRQIAKjgACAKi40tOtUYOrrrIe3IODpbvvtl6/KosWLLDu48MPfWruKYCkpaWpVq1aCg4OVmpqqsLCwtSgQQOv58qa3zF+/Phcn587d04tWrTQ3XffLUkEEAAEEABABXTmjDWRvEkT64G9cmXp4YetCedl2Zw51v18+qlPzbMCyKRJk5ScnKwjR45o3bp16tevn4wxGjhwoDZu3ChjjG677Tav5/rxxx9ljNHtt9+e6/Onn35aF110kY4cOSKJAAKAAAIAqEiOH5cmTbKW0DXGWlJ3wgRrid0yzumUEoZ/plgzRQn/2iSnM/8+7lbBMsYoODhYQ4YM0cmTJ/X111+7Jqp7s337dhljdP3117s+27Jli0JDQzV79mzXZwQQAAQQAED5t3+/tVlglSpW8GjYUHrxRWtTwXLA6ZSioyVHSLqCTLocoecVHa18Q0hWABk1apQSExO1atUqfffddzp58qSrTVFGQK677jq1bdtWGRkZrs8IIAAIIACA8mvLFmn4cCkkxAoel19ubdLny/BAWZGZqYRXT8gRet41f94YyeGQEhK8d/U2CT3L2bNnFRoamu8ckHnz5uWaA7J8+XIZY7RkyRJt377ddfTv31/GGK1fv97tiloAyj8CCACg/PnhB6l/fykgwHoa79xZev99KcffxJcp585JW7dKH38szZwpPfKI1LevNXm+ShXFmikKMum5AkhQkBQb6/20vgQQSerTp4+MMfrss888tunYsaOMMfr5558lSfHx8W5f78p51K5du8A/BYCyjwACACgfMjOlzz6TevTIfgq/9VZp9Wp/V5a/zEzpyBHpu++szQ4nTZL+/ndrD5IGDbKD1IUJo0kT6frrldBzjhzBzhIZAZGkn376SaGhoWrSpIn27t2b5/u4uDgZYzRkyBDXZ9u3b9fbb7+d5+jevbuMMXr99df1/vvvF+bXAlDGEUAAAGXb+fPWDuCtW2c/mN91l7Rpk78ryy0tLXsUY9YsacwYqV8/1yhGnoBhjBQZKbVpIw0YII0dK736qpSYKO3cmes1MtcckGCnNQckLKNAc0DyCyCStGzZMoWFhalq1ap68MEHNW/ePE2fPl1du3aVMUbXXXed153QszAHBAABBABQZrhbtSkiIEAdjNH8kBDpn/+U9uzRwYMH9cQTT+jGG29UjRo1ZIzRgw8+WLLFZWZKycnS999LS5daoxj33CN1725Nevc2itGzp/T//p/07LNWmFq3zlqxqwCcTilh4NvWKlj/2VugVbB8CSCStHXrVo0YMUKNGzdWaGioIiMj1blzZ82ZM0fp6ek+nYMAAoAAAgAoM7IemGNat9biqlX1ujGKczjUMDJSxhhNnDgxV7tGjRrpxhtvLL4AkpYmbdsmffKJNHu2tbJWv37SX/4iRUS4H8WoWtUanRkwQHr8cemVV6xXxXbsKP7J8E89ZV1z8+biPS8AFCMCCACgbPj9dyXdeaf1N/bGSPXrS/HxUkqK9u/fr/DwcEVERCg9PV2nTp1ScnKyJGn37t2+B5DMTGtPkKxRjMmTrVW0rrtOatRICgzMGzACA6XGja25JyNGSFOmWKMYa9dKx45Z57TLuHFWTdu22XdNACggAggAoHTbvl0aOVIKC1PSn69dxd95pzUakUPbtm1ljNGBAwdyfZ4ngKSlWef89FPp5ZetUYz+/aWrr7ZGK7yNYtx+u/TYY1a/Tz8tmVGMonj8caveXbv8XQkAeEQAAQCUTj/+KA0alD3q0L69kv5cbenCOQtpaWmqVauWgoODlXr6tDWK8cMPUkKCdj/2mBVA6tf3PorRqJE10pE1ipGQYJ3j6FF7RzGK4pFHrPtxs1IVAJQWBBAAQOmRmSl9/rl0ww3Z4eCWW6Qvv5QyM11zOyZNmKDkH37QkWXLtC42Vv2aN5cxRgOrVbNWjsoRLnb/OWryYEiINcrRv7816pE1irF9e57RlDLrwQet+75gFAgAShMCCADAL5xOa5AhNlZKWJIh57J3pHbtskckbr9devNNaz7FlCnSiBFKat3a7YZ2wcZoiDE62aCBNYoxfLg1f2PpUu1escIKIA884O9bLnmjR1u/3+HD/q4EADwigAAAbOfatyIsQ0EBGXKYM4o238gZECrVrOlxRakkh0PGGI1q0kSJAwdq1QMP6LsZM3Ry/XqPoxgFmoRe1t17r/VbHT3q70oAwCMCCADAdgkJ1k7duXbuNmeUYAZZe2Z0727toTFpkrUz+PffS8nJSvriiwLtWyFVsAAyYoT1Y5444e9KAMAjAggAwHaxsdYefLn25AvMVOyj3jezK+jGeVIFCyB33239mCkp/q4EADwigAAAbOd2BMRhfe4NASQfMTHWj3n2rL8rAQCPCCAAANu55oA4rJEQh8P6c35bahQkgMTFxSkuLk5jxoyRMUbR0dGuz7766qtiupNS5s47rQCS7n0kCQD8iQACAPCLXKtgJfi2n19BAoi71bKyjvHjxxf9BkqjgQOtAFJW9i0BUCERQAAAKC/697eWMAaAUowAAgBAeXHbbVJoqL+rAACvCCAAAJQXvXpJlSr5uwoA8IoAAgBAeXHTTdYmjgWQkpKiqVOnKjo6WtWqVVNISIiioqLUt29fLV++XJk55pNMmDBBHTt2VK1atRQaGqp69eqpV69eSkpKKuYbAVCeEUAAACgvevaULrrI5+Zbt25V06ZNZYzRzTffrOeff17z58/XpEmT1KlTJxljNGvWLFf73r17a8SIEa52U6ZMUatWrWSM0RtvvFESdwSgHCKAAABQXnTrJtWs6VPT1NRUtWjRQiEhIXrvvffctvnss8+0dOlSr+dJSUlRrVq1dMUVVxS0WgAVFAEEAIDyonNnqU4dn5rOmDFDxhiNGzeuyJdt1aqV6tevX+TzAKgYCCAAAJQXHTpIPgaBrl27yhijXbt2FfgyycnJOnz4sDZs2KAHHnhAxhiNHDmywOcBUDERQAAAKC+uuUZq1MinptWrV1dkZGShLpNzU8dKlSrp3nvvVWpqaqHOBaDiIYAAAFAOOJ1SQuOxiq32sk87ywcHBxf6tanExER9/PHHmj17tq699lrFxMTo+PHjhToXgIqHAAIAQBnndErR0ZIj4KyCTLocDuvP3kJIUUZAcjpz5oxatWqlzp07F/lcACoGAggAAGVcQoLkcGTKGLkOh8P63JMuXboUeg7Ihf71r3/JGKNt27YV+VwAyj8CCAAAZZnTqdjeGxVk0nMFkKAgKTbWc7esVbCefPLJIpcwZswYGWP0/fffF/lcAMo/AggAAGXR2bPSyy9LjRsrwQySw5wp0AhIamqqmjdvrtDQUH344Ydu26xatUoJf57k5MmTOnv2bJ42ycnJql+/vipXrsxEdAA+IYAAAFCWnD4tTZ8uRUVZSaNGDTknTFF0u3Q5jO9zQCRrJ/RLLrlEAQEB6tWrl6ZNm6YFCxZoypQprmV6X375ZUlSUlKSatSoofvuu0/Tp0/Xq6++qscee0wXX3yxjDF69dVXbbh5AOUBAQQAgLLgxAlp8mRrp3NjrAAybZqUkiLpz1WwLrpPsXVf92kVrCwpKSmaOnWqOnTooMjISAUHBysqKkr9+vXTu+++62r322+/aeTIkbrssstUtWrVXO2+/PLLkrhjAOUUAQQAgNIsOVn617+kyEgreDRsKM2ebb2CdaHata3d0AGgFCOAAABQGh08KD3yiBQebgWP5s2lhQu9D23UqCF1725biQBQGAQQAABKkz17pH/8QwoLs4LHlVdas8nPn8+/b7Vq0vXXl3yNAFAEBBAAAEqDrVulv/9dCg62gse110orV0oZGb6fo0oV6aabSq5GACgGBBAAAPxpwwbpjjukwEAreHTrJn32mZSZWfBzORxS797FXiIAFCcCCAAA/vD999Jtt2Vv3HHzzdLq1UU7Z0iI1KdP8dQHACWEAAIAgJ2++kq64Ybs4NGvn7R2bfGcOyBA6t+/eM4FACWEAAIAQEnLzJQ++cRaItcY63WrIUOkTZuK7xoZGda5Bw0qvnMCQAkggAAAUFIyMqQVK6S2ba1wEBIiDR8ubd9e/NdyOq1rDBlS/OcGgGJEAAEAoLidPy8tWSJdfrkVCsLCpPvvl/buLblrnjljXeuuu0ruGgBQDAggAAAUl7Q0ad48qVkzKwxUriw99pj0++8lf+1Tp6xr/v3vJX8tACgCAggAAEV15oz00ktSgwZWCKhWTXr6aenoUftq+OMP69ojRth3TQAoBAIIAACFdeqUNHWqVLu29fB/8cXSs89KJ0/aX0tyslXDfffZf20AKAACCAAABXX8uDRhglS9uvXQX6+eNGOGlJrqv5p+/92q5f77/VcDAPiAAAIAgK8OH5ZiY6WICOthv0kT6dVXpXPn/F2ZtH+/VdODD/q7EgDwigACAEB+fvvNerCvVMl6yG/ZUlq0SEpP93dl2fbssWobM8bnLikpKZo6daqio6NVrVo1hYSEKCoqSn379tXy5cuVmZnpavvpp59q5MiRatOmjUJDQ2WM0U8//VQSdwKgnCOAAADgyc6d0siR1v4dxkhXXy29/ba1v0dps2OHVePYsT4137p1q5o2bSpjjG6++WY9//zzmj9/viZNmqROnTrJGKNZs2a52g8bNkyhoaFq06aNrrzySgIIgEIjgAAAcKHNm639NIKCrIf66Gjpgw+sHc1Lq61brVrHjcu3aWpqqlq0aKGQkBC99957btt89tlnWrp0qevP+/fv17k/XzUbP348AQRAoRFAAADI8tNP0oABUkCA9TDfo4f0xRelO3hk+eUXq+ann8636YwZM2SM0Tgfwoo7BBAARUEAAQBgzRqpd2/rAd4Y63+vWePvqgpmwwar9okT823atWtXGWO0a9euQl2KAAKgKAggAICKKTNT+vxza5TDGGvUY8AAaf16f1dWOD/+aN3H5Mn5Nq1evboiIyMLfSkCCICiIIAAACqWzExrPkd0tPXAHhRkzffYvNnflRWJc81aJZhBiu3+rRISJKfTc9vg4GDVr1+/0NcigAAoCgIIAKBiyMiwVrC6+moreISGWitc7dzp78qKzOmUoq84KYdJVVBAhhwOK195CiGMgADwJwIIAKB8S0+39uxo1coKHpUqWXt6/PabvysrGqdT2rJFWrlSCUNWyhF4zjWFxRjJ4ZASEtx37dKlC3NAAPgNAQQAUD6dO2ftUn7JJdYTeUSEtYv54cP+rsx3mZnSoUPSV19Jc+ZYmwzeeqvUooUUHOxKG7FmioJMeq4AEhRk3a47WatgPfnkk4UqiwACoCgIIACA8iU1VZoxQ6pXz3oSr15dmjBBOn7c35V5lpoq/fyztGyZFBcnxcRI7dpJkZHKlSqMsTZFbNlS6tNHevxxad48JTzzqxwh530eAUlNTVXz5s0VGhqqDz/80G2bVatWKcHDCQggAIqCAAIAKB9OnpSefVa6+GLrCbx2bek//5FOnfJ3ZZaMDGnPHunTT6UXX5RGj5ZuuEFq2DBvyDBGqlNH6tbNmqcybZo1cX7bNuuVsgs4nVJ0q+NymDM+zQGRrJ3QL7nkEgUEBKhXr16aNm2aFixYoClTpriW6X355Zdd7Tds2KC4uDjFxcXpuuuukzFGo0ePdn124sSJEvjRAJRHBBAAQNl29Kj01FNStWrWg3uDBtLMmdKZM/6p548/pO+/t+adPPmktbTvlVdaQxIXhozwcGtS/B13WPfwxhvS2rVWmCog58qPrFWwem3IdxWsLCkpKZo6dao6dOigyMhIBQcHKyoqSv369dO7776bq+3ChQtljPF47N69u8A1A6iYCCAAgDIl66E5+pprVC0sTCHGKMoY9a1cWctHjVLmuXOSpOPHjys+Pl7XX3+96tatq0qVKqlly5Z66KGHlJycXLQickwA13/+I40YIXXpItWqlTdkBARIjRtLN90kPfCANGuWlJgo7dtnjYoUl5UrrestWlR85wSAEkAAAQCUGVu3blXTRo1kjNHNgYF63hjNr1tXkwYNUqeOHWWM0axZsyRJH3/8sYKCgtSrVy9NnTpVc+bM0ciRIxUcHKx69erp4MGD3i/m4wRw11GtmtS+vTR0qLUZ4H//K23aZN9IzPLlVh1LlthzPQAoJAIIAKBMSN2wQS2qVlWIMXrPGKltW2nFilyjCJ999pmWLl0qSdqzZ492utnjY/78+TLGaMyYMX+e+M8J4G+9VbAJ4I89Js2bJ61eLR05YgUWf3rrLavGt97ybx0AkA8CCACgdNu0SbrzTs0ICJAxRuPq15c++aRgD/w5JoCfmjpVxhjdVKOG7xPA33/f4wTwUmPJEqv25cv9XQkAeEUAAQCUTmvXSn37ukJB12rV8t88z90E8KuusjYf/PM8m/+cNB0TFGRNAB80KPcE8LK6mtOiRdY9rlzp70oAwCsCCACgdFm92pqwnTUacdtt0vffq3r16oqMjCzaBPCZMzWoWzcZY/TJRx/5+06L18KF1j172NcDAEoLAggAwC+cTmujvNhYKWFpppwfJUpdu2YHhz59pAULXBPAgwMCVD842PcJ4Bs35pkA/tJLL8kYo2HDhvnnpkvS3LnWb/HJJ/6uBAC8IoAAAGzndFob5TkcmdbGeQFnFW2+kdOESDVrSlWq5AkZ1Y1RZGBgoSeAL126VIGBgerZs6fO/blUb7ny8svWb7Vqlb8rAQCvCCAAANslJOTdl89hzijBDPI4AbxL5875zwHxYPny5QoODlaXLl2Umppa/DdUGsycaf2QX37p70oAwCsCCADAdrGxUlBQ7gASFJip2IfPeuwzY8YMGWP05JNPFuhaK1euVEhIiKKjo5WSklLU0kuvGTOsH3L1an9XAgBeEUAAALZzOwLisD73JDU1Vc2bN1doaKg+9DDRetWqVUrIcZIPP/xQoaGhateunU6ePFnct1G6PP+89UN++62/KwEArwggAADbZc8BsUZCHA7rz06n935bt27VJZdcooCAAPXq1UvTpk3TggULNGXKFHXt2lXGGL388suSpB9++EFhYWGqVKmSXnzxRS1evDjXsWLFChvu1EbPPWcFkB9+8HclAOAVAQQA4Be5VsFKyD98ZElJSdHUqVPVoUMHRUZGKjg4WFFRUerXr5/effddV7uFCxfK/Lnnh7ujUaNGJXNj/jJ5shVA1q/3dyUA4BUBBACA8mDCBCuAbNzo70oAwCsCCAAA5cHTT1sB5Jdf/F0JAHhFAAEAoDwYN84KIFu3+tzl9OnTmj59urp06aLq1asrODhY1atXV+fOnTVp0iQdOnQoV/vx48fLGKOffvrJ63m3bNmiMWPGqFu3boqIiJAxRvHx8YW6LQDlDwEEAIDy4PHHrQCyc6dPzbdu3apmzZrJGKMbb7xRzz33nBYsWKD4+HgNHjxY4eHhqlu3bq4+vgaQhQsXKiAgQM2bN3ctDkAAAZCFAAIAQHkwZowVQPbsybfp6dOn1bx5c4WFhemjjz5y2+bYsWOKjY3N9ZmvAeTYsWM6ceKEJCkpKYkAAiAXAggAAOXBgw9aAWT//nybxsfHyxij8ePHF+gSvgaQnAggAC5EAAEAoDwYPdoKIBfM23CnS5cuMsZojw+jJTkRQAAUBwIIAADlwb33WgEkOTnfptWrV1dkZGSez51Op5KTk3MdzhwbtBBAABQHAggAAGWc0yklXPeKYs0UJcw/ne+mjsHBwapfv36ezz/++OM8GzYmJSW5vieAACgOBBAAAMowp1OKjpYcgecUZNLlcGQqOtr7zvLVq1dX1apV83x+9OhRJSYmKjExUaNGjSKAACgRBBAAAMqwhNnH5Ag8J2PkOhwOKSHBc5+sOSC7d+/22CZrojoBBEBxI4AAAFAWHTggDR+uWPOsgkx6rgASFCRdsIJuLlnh4umnn863DQEEQHEjgAAAUJbs3y/df78UEiIZowQzSI7AswUaATl9+rSaNWum0NBQj/uATJ8+nQACoEQQQAAAKAt++81aajcsLDtpREbKufS/1hwQhzXy4XAo3zkgkrUTetOmTV07oU+dOlULFizQ888/r5iYGDkcDlWpUkWbNm1y9ckKIKNHj1ZcXFyeY/Xq1ZKkEydOuD675557ZIxRr169XJ9t2LChJH8pAKUcAQQAgNJs3z5p1CgpNDT7/SpjpMGDXUvuOp3WiEdsrPXP/MJHltOnT2vatGnq1KmTqlWrpuDgYFWvXl2dO3fW5MmTdeiCPUWyAoinIy4uTpK0e/dur+0WLlxYnL8QgDKGAAIAQGm0d690332uV61UrZr1z1q1pHfe8Xd1AFBoBBAAAEqTPXukkSOzg0fTplLlytb//tvfpKNH/V0hABQJAQQAgNJg927p//0/KTjYChvXXCO1a2f97zp1pHff9XeFAFAsCCAAAPjTzp3S8OHZwaNTJ2nMGKlqVevPd90lHTvm7yoBoNgQQAAA8IcdO6S//z17UnmXLtKSJdJNN1l/joqS3nvP31UCQLEjgAAAYKft26W7784OHt26SZ9/Ls2dmz3qcffd0vHj/q4UAEoEAQQAADts2yYNHZodPLp3l5KSrNWubrzR+qxuXenDD/1dKQCUKAIIAAAlacsWKSZGCgy0QkaPHtJXX0mZmdKrr0oREdbn99wj/fGHv6sFgBJHAAEAoCT8+qu1bG5W8Lj+eunPncK1Z4/1Z2Ok+vWljz/2b60AYCMCCAAAxWnzZunOO6WAACtg3HCD9PXX1ncZGdLLL0tVqljfjRghnTjh33oBwGYEEAAAisP//ifdcUd28LjpJmnNmuzvd+2yXr8yRmrQQPrkE//VCgB+RAABAKAoNm2SBg3KDh633CJ9+2329xkZ0qxZ2buZjxwpnTzpv3oBwM8IIAAAFMbGjdKAAVaoMEbq1Uv6/vvcbXbutFa7MkZq2FBKTPRPrQBQihBAAAAoiA0bpNtvzw4et94q/fBD7jYZGdJLL0nh4Vab++6TTp3yT70AUMoQQAAA8MVPP0n9+mUHj9tuk9aty9tuxw6pa1erTePG1iaDpUxSUpKMMa4jKChIF110ka666iqNGDFCX331VZ4+W7Zs0ZgxY9StWzdFRETIGKP4+Ph8r7V3714FBgbKGKOkpKQSuBsAZQ0BBAAAb9avl/r0yQ4effpIP/6Yt11GhjRjhlSpktVu9GgpJcX+en2QFUBiYmK0ePFiLVq0SDNnztSoUaNUu3ZtGWM0aNAgnTt3ztVn4cKFCggIUPPmzdW1a1efA8iECRNUqVIlRUVFaejQoSV5WwDKCAIIAADurFtnjXJkBY9+/axREHe2bZM6d7baNWli7XBeimUFEHcB4uzZs4qJiZExRiNHjnR9fuzYMZ34c8lgb/1zyszMVJMmTTR48GDFxsYqPDxcp3gVDajwCCAAAOS0dq01ryMrePTvL/38s/u2589L06dnj3r885+ldtQjp/wChNPpVLNmzRQUFKRdu3YVuP+F7T766CNt3rxZxhjNmzevWO4BQNlFAAEAQLJWsOrVKzt4DBhgTTj3ZMsWqWNHq23TptKXX9pXaxH5EiCeeeYZGWP0yiuvFKq/JN11112qU6eOzp8/L0lq166dOnbsWLTiAZR5BBAAQMX23XfW3h3GWHt5DBpk7e3hyfnz0vPPSw6H1f7BB6XTp+2rtxj4EiDeeecdGWP0yCOPFKr/qVOnFB4enqv/zJkzZYzR1q1bi3YDAMo0AggAoGJas8barTwreNxxh7WbuTe//ip16GD1adZM+r//s6fWfDidUkKCFBtr/dPp9N7elwCRmJgoY4xGjBhRqP5z586VMUY/53h97ejRowoNDVVsbGz+NwWg3CKAAAAqlq+/lm64ITt43Hmn9Msv3vucPy9NnSqFhVl9Hn5YSk21p958OJ1SdHSmHGEZCgrMlMMhRUd7DyF2jIB07NhRl1xyibZv357r6N69u+rWret6LQtAxUMAAQBUDKtXS9dfbwWPwEDpb3+zRjTys3mz1L691a9FC+mbb0q+Vm9OnpS+/VaaO1d66CElXDlJDnPGNXXFGOvtsIQEz6co6TkgW7ZsybXPiLvjww8/LPCtAygfCCAAgPLtq6+kHj2yg0dMjDWBPD/p6dK//5096jFmjHTmTMnXm+X0aWtFroULpUcfteapNGigXEnDGMUGT1WQSc/1cVCQ9TqWJwVZBWv37t0F7j927FgZY/Taa6/p7bffznNUr15dAwYMKMSPAqA8IIAAAMqnpCSpe/fs4DF0qOTr5Of//U9q187qe+ml1nyRknLmjLXZ4eLFVmq49VZrL5GAgNxhIyxM+stfpCFDpClTpJUrpR07lLAkQw5HZrGNgJw7d87tPiC+9j9//rzq1q2rdu3aebz+0KFDFRoaqqNHj+b/+wAodwggAIDyIzNT+uILqVu37KGAu++Wtm/3rX96ujR5shQaaoWWxx8vvlGPtDRp40Zp6VLpX/+S+vaVmje3rpMzPQQHS5dfbq3GNXGitHy5NWKTnu72tE6nFN0uXQ5zRkEB5ws0ByTnTuizZs3SP/7xD9WpU8ftTugnTpxQXFyc4uLidM8998gYo169H7fj+wAAIABJREFUerk+2/DnksUffvihjDH697//7fH67777rowxevHFFwv3WwIo0wggAICyLzNTWrVK6tIlO3j8/e/Sjh2+n2PjRqltW6t/q1bW8ryF4XRa80beflsaP97aT6RVK6umC9+TuvRS6fbbpaeflpYtsybD57eElbtL/n5UCWaQYq/+uECrYGUdgYGBioyM1JVXXqnhw4frSzd7muzevdvrnI6FCxdKkgYMGCBjjLZt2+bx+mfPnlXlypV19dVXF/heAZR9BBAAQNmVmSklJkqdOmWPHgwfLu3c6fs5nE4pLk4KCbFGI2JjpbNn8+93/ry0bZu0YoXVf/Bg6corrfPkDBoBAdZGhX36SOPGSW++aW1wmGN0ocgOHbKuNXp08Z0TAEoIAQQAUKacPn1a06dNU5crrlD14GAFG6Pqxqhz7dqaNGaMDh06lKv9+PHjZYzRTz/9lPdkGzZIrVsr8/+3d6/hUZSH38fvzXEJmGAEJBBEg0BRUR8MmshJKxdFbCtUkSooVC3iocDfA0aoRw6tKQiCgIKgJbVEEUEsqAQBD23FtlZpQWIKeKoWo5xCBJdkf8+LIStrDjshyT3Z8P1c175gdnbnns2+mC+z94wxWtKunYZecokyMjLk9/vVsWNHDR06VP/evFnasUNatUr6zW+cSez/7/85Ey2+NyFcp54qXXaZ89OtJUukf/zDzuV6P/vM2f64cQ2/LQCoIwIEABA1Crdt0+nt2skYowHG6OGYGC3u108z771XP//5z5WUlKR27dqFvabKAAkEpAcfdM5WxMbq4IQJMsbovO7ddd811+jJoUP167PP1klxcYo3Ruu+Hxrp6c5NDG+/XVq8WNq0SSopsfxpHOXjj51xVXHPDgBobAgQAEDjFwzqwAsvqLPfr0RjtCY2VhozxjnwPsrXX39d6S7blQLk3XedSd7GSG3bSpdfrsMXXKDXk5IqndH4oFUrJfh8Oq9NG2nBAuceIHv22Npr97Zvd8Y8YYLXIwGAiAgQAEDjFQxKf/qT1LOnZh6Z7Hx/Zqb0ySfuXr9rl+6/7jonQIYMkU45pfLPpoyRWrVyrpx1663SvHnOvUOOXCK2R48eSkxMbLh9rA+Fhc5+TJzo9UgAICICBADQ+ASDzpyLzEznwDohQX3S0mSM0UcffVR5/a+/lt54w4mHW2917v/RqpVkjO4/Ei7/rIiNpCTnylOzZzuX7N21q9phlJeXKy0tTenp6Q24s/Vg61Zn3+691+uRAEBEBAgAoPEIBp0b7PXo8d3N9371K+mzz5SamqqU5GTnZ1ALFjgTrvv3V+Dkk1VsTNgj0KKFlJUljRql+zMynACJiXEud/vtt66HM2/ePBljKv2sq9HZvNn5vB580OuRAEBEBAgAwBOBgHO37pwcKX9pUIFlK52rS1WEx1VXSY88It1xh/SjHynOGKV//6dTSUl6uXPnSvek2LB+vfT3v0tnnfXdGZCabg1ehb/97W/y+/0644wzVGrjSlZ18e67zucxdarXIwGAiAgQAIB1gYBzt26/P6hYX7n85htlmz8r4EuQkpMrz9FITFRqbKyS4+OdS+GuWuVMvC4v11dffaWCggIVFBTo5ptvdgJk+HDnRn9xcbr/oouqvwxvNbZs2aJWrVopPT1dO3fubLgPor787W/O51TD3ccBoLEgQAAA1uXnV76Nht98o/zYa6SzznJu6jd5svTCC87N/srK1KdPHxljagyCmf/3f06AGOOcTXnvvZrvA1KFwsJCtW3bVm3btlVhYWE97XED++tfnQ9x+nSvRwIAEREgAADrcnKcExRHB0hsTFA5d5VV+5qZM2fKGKP77ruv8pMHD0o5OZrp8zkBcv31zmkWRbgR4fcUFRWpXbt2atOmjbZu3XrM+2fdW285H+KsWV6PBAAiIkAAANZVeQbE7yyvzoEDB3T66acrISFBa9as+e6Jt9+WunWTjNEj7ds7AbJhQ+hptwGyY8cOdejQQSeddJI2b95cxz20bONG50OcM8frkQBARAQIAMC67+aAOGdC/H7n30dOWlSrsLBQnTp1cu6E3r+/cvv102KfT9NjYzXi3HPl9/vVokUL/etf/wq9piJAbr31Vk2ePLnS480339T+/ft16qmnyhijO+64Q3l5eZUeBw4caOBPpQ7WrXMCZP58r0cCABERIAAAT4RdBSs/cnxUOHDggGaMHatezZqppTGK8/mUmpKi3r17a+rUqfrf//4Xtn5FgFT3mDx5snbu3FnjOpHmnnju1VedAFm40OuRAEBEBAgAIHp88410551STIyUkOBc9enwYa9H5b3Vq50AWbzY1eoV82mOfvh8Pvn9fnXt2lWzZ88OWz8YDOq2225T27ZtFRsbK2OMYmJilJqaqsmTJ6usrPq5O3PmzAlt4/XXX6/TbgJoGggQAEB0+POfpS5dnAPt88+XtmzxekSNx4svOp/LkiWuVq8IkNNOO01jxozRTTfdpKFDh+rMM89UTEyMjDHq0KGD9u3bJ0k6ePCgjDE68cQTdfHFF2vkyJEaMGCA4uPjZYzRpZdeWu22OnfuHHrPvn371svuAohuBAgAoHErLZX+7/8kn8+5QWFuLmc9vu+FF5wA+eMfXa1eESCDBw+u9NyePXt02mmnyRijH/zgB5Kkw4cPV3n24oMPPpDvyJXHiouLKz2/a9cuGWOUlZWlU045RbGxsSovL6/lzgFoaggQAEDj9eabUufOzsF1Vpb0wQdej6hxeu455zN69llXq9cUIJJUWloaOrsR6WdTrVq1kjFG//nPfyo9d8MNN8gYo5deekkPPvigjDHKzc11NUYATRcBAgBofA4ckMaNc856+P3ODfZqmGdw3PvjH50AWb7c1eqRAkSSLjpyB/lrrrkmbPnevXtVXFysoqIiPfbYYzLGKC4ursozG8nJyUpKSpIkffvtt4qJiVHHjh3d7xeAJokAAQA0Lq+/LnXq5BxQX3ihtG2b1yNq/PLynM/rxRddre4mQCZMmCBjjM4777yw5f369QubuG6M0ZgxYyq9ft26dTLG6Iorrggty8zMlDFGH3/8scsdA9AUESAAgMbhwAHpV7/67q6EjzzCWQ8XSkulsf3/rSzzZ439yQ6VlkZ+jZsAefjhh2WMUdeuXcOW//3vf9fatWv1wAMPKCYmRklJSdq0aVOl1/fq1UvGGG07KiCff/75Ks+qADi+ECAAAO9t2CBlZDjx0bu39OGHXo8oKpSWSi1aSMYEQ48WLRQxQupyBkSStmzZolatWik9PV1XXnmlTjzxRH355Zeh5w8fPqzY2FglJydr3bp1YY/4+Hg1b978mPcZQPQjQAAA3ikpkW691QmPZs2kRx+VuEqSa2PHOh/d9x9jx9b8urrMASksLFTbtm3Vtm1bFRYWhn5qtWDBgtA6U6ZMiXhjxxdd/lwMQNNDgAAAvPHaa9KppzpHzH37SkVFXo8o6mRlVR0gWVk1v642V8F68803Q8uLiorUrl07tWnTRlu3bpUkvfTSSzLG6OGHHw6t16FDBxljdPvtt1d63HLLLTLGKDMzs+4fAICoRIAAAOzav1+6+WbnSDkpSZozh7Mex6ghzoDs27ev0n1AJGnTpk3q0KGDTjrpJG3evFmSc4f0Sy+9VMYYbdy4UZK0Y8cOGWOUnp5e7fZTUlIUExOjgwcPHsNeA4h2BAgAwJ5166SOHZ2j5IsukrZv93pEUa2uc0COvhP6sGHDdNZZZ1V5J/T9+/eHfjrVu3dv3XDDDbriiiuUnp4uY4yys7N14MABSdKwYcNkjNHYGipoyJAhMsbo17/+db19FgCiBwECAGh4+/ZJN93khEfz5tLcuZz1qCelpdLYXn9zroI17ItaXQXr+w+/368uXbpo1qxZYevv3Lkz4pyOnTt3SpKSkpJkjNEXX3xR7fbffvttGWOUlpZWl10HEKUIEABAw3r1ValDByc+Lr5Y2rHD6xE1PdOmOZ/vu+96PRIAiIgAAQA0jL17pRtvdA6MW7SQ5s/nrEdDeegh53M+MjcDABozAgQAUP9efllKT3cOii+5RDry8xw0kPvucz7rLVu8HgkARESAAADqz5490vXXOwfDJ5wgPfGEFAx6Paqmb9Ik5zMvLPR6JAAQEQECAKgfq1dL7ds7B8IDBkgff+z1iI4fd9/tfO5cVQxAFCBAAAB1s3u3NGqUcwCcnCw9+SRnPWy74w7n8//oI69HAgARESAAgGP30ktSu3bOwe/AgdInn3g9ouPT+PHO3+Czz7weCQBERIAAAGpv927p2mudg96UFGnxYs56eOm225y/RQ333gCAxoIAAQDUzosvSmlpzgHvoEHSp596PSKMGeP8PYqLvR4JAEREgAAA3PnqK2n48O/Oejz9NGc9Gotf/tL5u+zZ4/VIACAiAgQAENmKFdLJJzsHuT/+MXMNGptf/ML52+zf7/VIACAiAgQAUL3iYunqq52D2xNPlPLyOOvRGF13nfM3+uYbr0cCABERIACAqi1fLrVp4xzY/vSn0uefez0iVOeaa5y/UyDg9UgAICICBAAQ7ssvpWHDnAPa1FTpmWc469HYXXWV8/cqL/d6JAAQEQECAPjOsmVS69bOwezgwVzWNVpccYXk83k9CgBwhQABAEi7dklDhzrhcdJJ0tKlnPWIJpdfLsXHez0KAHCFAAGA41kwKD37rNSqlRMfP/uZ9L//eT0q1NZll0l+v9ejAABXCBAAOF7973/OT3eMcQLk2Wc56xGtBg6UWrTwehQA4AoBAgDHm2BQ+uMfnZ9aGeP89GrXLq9Hhbro319q2dLrUQCAKwQIABxPvvjCmVxujDPZ/LnnvB4R6sNFFzlBCQBRgAABgONBMCj94Q/OZXWNkX7+c+dyu2ga+vRx7lQPAFGAAAGApu7zz50bCRrj3Fhw+XKvR4T6lp0ttW/v9SgAwBUCBACaqmBQWrLEmRtgjHO37OJir0eFhtCzp3TKKV6PAgBcIUAAoCn673+lH//YCY+TT5ZWrPB6RGhIPXpIGRlejwIAXCFAAKApCQalp5/+7qzHiBHS1197PSo0tLPPljp39noUAOAKAQIATcVnn0mDBjnh0bat9OKLXo8ItpxxhtStm9ejAABXCBAAiHbBoLR4sZSS4sTHdddx1uN407Wr1L2716MAAFcIEACIZp98Iv3oR054tGsnvfSS1yOCFzp1ks491+tRAIArBAgARKNgUFq4UDrhBCc+Ro2Sdu/2elTwSseOUmam16MAAFcIEACINh9/LA0Y4IRH+/bSmjVejwheS0+XsrK8HgUAuEKAAEC0CAalJ5747qzH9ddLe/d6PSo0Bm3bSr16eT0KAHCFAAGAaPDRR1L//k54pKdLL7/s9YjQmLRuLfXr5/UoAMAVAgQAGrPycmn+fKlFCyc+fvlLznqgshNPlC65xOtRAIArBAgANFY7dkg//KETHqecIr36qtcjQmN1wgnOvCAAiAIECAA0NuXl0ty5UvPmTnzcdJO0b5/Xo0JjlpTk3IQSAKIAAQIAjcn27dJFFznh0bGjVFDg9YgQDRISpJ/+1OtRAIArBAgANAbl5dLs2c7/ZBsj3XKLtH+/16NCtIiJkYYM8XoUAOAKAQIAXisqkvr2dcLj1FOl9eu9HhGiSTDofHeGDvV6JADgCgECAF4pL5dmzZKaNXMOIG+9VSop8XpUiDaHDzvfn6uv9nokAOAKAQIAXvjwQ6l3b+fAMSND2rDB6xEhWh086HyPRozweiQA4AoBAgA2lZVJjzwi+f3OQePYsdKBA16PCtHswAHnuzRqlKvVN2zYIGNM6BEbG6sTTzxRZ599tm688Ua9/vrrEd9j0qRJMsYoJSWlxvWWLFkiY4yaN2+uEs7uATiCAAEAW7Ztky680DlY7NRJcnGgB0S0d6/znbrxRlerVwTIiBEjlJeXpyVLluixxx7TzTffrJNPPlnGGF111VU6dOhQla/funWrEhIS1Lx584gBcvHFFysjI0PGGC1evLjWuwagaSJAAKChlZVJ06c7Zz18Pmn8eKm01OtRoan46qvv7hfjQkWAzJw5s9JzBw8e1IgRI2SM0ejRoys9HwwG1bdvXw0aNEj9+vWrMUB27twpn8+nxx9/XFlZWerTp4/7fQLQpBEgANCQPvhAyspyDhA7d5befNPrEaGp2bXru4sYuFBTgEhSIBDQ6aefrtjYWO3YsSPsuUWLFsnv92v79u0RA+T+++9XYmKi9uzZo3nz5skYo6KiIvf7BaDJIkAAoCGUlUm5uVJionPW4/bbOeuBhvHf/343n8iFSAEiSQ888ICMMXr88cdDy4qLi3XSSSfpgQcekKQaAyQYDKpjx4668sorJUm7d+9WYmKiJk6c6HavADRhBAgA1LctW6Tzz1eJMcpt1UrZZ52lli1bKj4+XmlpaRo8eLCWL1+uYDAYesmrr76q0aNHq0ePHkpISJAxRv/85z+rfPv7778/bBKxMUbJycnq3r27pk2bplJC5/jy8cdOgNx+u6vV3QTICy+8IGOMbj/qPa+77jp16tRJBw8elFRzgKxbt07GGK1atSq07Morr1R6errKy8tdjRNA00WAAEB9OXxY+s1vpIQEFfp86tSypYwxGjhwoKZPn65FixZpypQp6tWrl4wxmjt3builI0eOVEJCgnr06KHu3bu7CpCpU6cqLy9PeXl5mj17tvr37y9jjH784x/b2mM0AoHCHco3VynngvXKz5cCgZrXdxMgBQUFMsboxiMT2ytes2bNmtA6NQXI8OHD1bp1ax0+fDi0bNWqVTLG6JVXXqnF3gFoiggQAKgP//631LOnZIxKu3RRl1NOUXx8fNj/AB9t7dq1Wrp0aejfn332WeiqQxWBESlAvv98MBhUZmamjDHavXt3Pe0YGrNAQMo+9xv5TalifeXy+6Xs7JojpLZnQL799lt17dpVQ4YMCVunugDZt2+fmjVrpquvvlpFRUWhxwcffKDk5GQNGzbsmPcXQNNAgABAXRw+LE2dKiUkSDEx0t13a9bvfidjzDH/3v1YA0SSLrvsMhljuOfCcSI/X/InlMkYhR5+v7O8OrWdAzJjxgzFxcXptddeCwuK888/XyeccIKKior06aefhl77+OOPV/qJ4NGPxMREAhk4zhEgAHCsNm+WzjvPOerr1k3atEmS1LdvXxljKl1ByC23AbJhwwYVFxeruLhYRUVFeuSRRxQbG6vhw4cf8y4huuTkSLEx5WEBEhvrLK9Oba6CtXPnTo0bN67GoDDG6IILLgi9/oILLtCpp56qZcuWVXrMmTNHxhg99thj9f1RAIgiBAgA1FYgIE2eLMXHO2c97rlHOjIxV5JSU1Mj3qCtJm4DpKrHL37xCwUiTQJAk5GfL/kTwwOkLmdADh06VOk+IO+9916VMXHGGWcoKSlJy5Yt0/r16yU5Nyk0xuiuu+6qdvsdO3bUeeedV7cdBxDVCBAAiCAQcA7ocnKk/Ic/UuBcZ66HzjxTeuedSuvHxcUpPT39mLfnNkAef/xxFRQUqKCgQM8//7zGjRun+Ph4DRkyJGzyL5quQEDK7l4iv/mm1nNAjr4T+ty5c3XLLbeobdu2Ee+EXqGqOSB33XWXjDF6++23q33d+PHjZYzR5s2ba7WvAJoOAgQAahAIOAd0/sRyxfrK5DffKNv8WYGce6VqDtBsnQGp6vlp06bJGKOFCxce8/YRXQJvbXKugvXDt2t1FayKR0xMjFJSUtS9e3fdcMMN2rhxo6vtfj9AysrK1LZtW6Wnp4ddYvr73njjDRljNH78eFfbAdD0ECAAUIP8fOcnLWE/cUksr/EnLn369LEyB6Sq5//5z3+G/gcbx4m33nK+mDVMKgeAxoQAAYAa5OQ4k3prM8l31qxZMsZo0qRJx7TNugTIO++8E7r3CI4TGzc6X8w5c7weCQC4QoAAQA2qPAMSYZJvaWmpOnfurISEBK1evbrKddatW6f8at6kLgFy99131yl+EIVee835Ys6b5/VIAMAVAgQAahCaAxIXUKw5LH9iecRJvpJUWFiojIwM+Xw+DRo0SDNmzNDixYs1bdq00GV658+fH1r//fff1+TJkzV58mRdfPHFMsbo1ltvDS3bu3dvaN2q7oT+2GOPadiwYfL5fEpPT9euXbsa6iNBY/Pqq06ALFjg9UgAwBUCBAAiCASk/CueU46Zpvzpn0aMjwolJSXKzc1VVlaWUlJSFBcXp7S0NA0ZMkQrV64MW/epp56q8T4LO3fuDK1b1WV44+Li1LFjR40ZM0aff/55Pe49Gr3Vq50AWbzY65EAgCsECAC48dBDzkHe++97PRIg3KpVznfz97/3eiQA4AoBAgBuTJvmHOT94x9ejwQI98ILznfzmWe8HgkAuEKAAIAbubnOQV4VNx4EPPXcc85389lnvR4JALhCgACAG4884hzk/eUvXo8ECLd0qfPdfP55r0cCAK4QIADgxuzZzkHeG294PRIgXF6e89383oUNAKCxIkAAwI1585yDvPXrvR4JEO7pp53v5ksveT0SAHCFAAEANxYscA7y1q71eiRAuCefdL6bL7/s9UgAwBUCBADcWLzYOchbs8brkQDhHn/c+W4WFHg9EgBwhQABADd+/3vnIG/VKq9HAoSbO7fWPw+suElmdna2WrZsqfj4eKWlpWnw4MFavny5gsFgaN1+/fpVe4PMoqKiarfx0EMPyRij0047Lez9AIAAAQA3nnnGOch74QWvRwKEe/TRWl0gobCwUJ06dZIxRgMHDtT06dO1aNEiTZkyRb169ZIxRnPnzg2t369fP7Vq1Up5eXmVHiUlJVVuIxgMKiMjI7Sd9cydAnAUAgQA3Hj2Wecgb9kyr0cChJsxw/UloktLS9WlSxfFx8drVTVn89auXaulS5eG/t2vXz917NixVkPauHGjjDFas2aN2rdvr2uvvbZWrwfQtBEgAODG8uXOQd5RB2ZAo1Bxk8xNmyKuOmvWLBljNHHiRNdvXxEg5eXl2rdvn6ufU40cOVJpaWkqKyvThAkTlJSUpP3797veJoCmjQABADdefNE5yMvL83okQLhp05zv5j/+EXHVvn37yhijHTt2uH77fv36KS4uTs2aNZMxRs2bN9eVV16p//znP1Wuv3//fjVv3lx33nmnJGnLli0yxmjBggWutwmgaSNAAMCN1audg7ynnvJ6JEC4hx5yvpvvvRdx1dTUVKWkpNTq7UeNGqWJEycqPz9fy5Yt0/jx45WQkKDU1NQqJ6E/+eSTMsZo8+bNoWWZmZnKzs6u1XYBNF0ECAC48eqrzkHewoVejwQICQSk/CueU46ZpvzffaJAoOb14+LilJ6eXuftvvLKKzLG6Gc/+1ml53r16qVzzz03bNns2bNljNG2bdvqvG0A0Y8AAQA3XnvNCZD5812/xO2lTnfv3q2ZM2eqf//+ateunZo1a6Yf/OAHGj9+vIqLiyu978iRIytdDjU1NVWZmZmaO3euysrK6m230XgFAlJ2tuSPCyjWHJY/sVzZ2aoxQo7lDEh1MjMzlZSUFLbsww8/lDFGd955p4qKikKPv/71r4qJidHdd99dL9sGEN0IEABwY+NGJ0DmzHG1em0udfryyy8rNjZWgwYNUm5urhYsWKDRo0crLi5O7du31+effx723hUB8sQTTygvL09LlizRjBkz1LNnTxljdNttt9X77qPxyc+X/H7na1nx8Pud5dXp06dPreeAVOfKK6+UMUalpaWhZTk5OdXeM8QYE5qYDuD4RoAAgBtvveUc4c2cGXHV2l7q9KOPPtL27dsrrbNo0SIZY3THHXeELa8IkD179oQtP3TokNq1a6fk5GS3e4UolpMjxcaGB0hsrLO8OhVXwZo0aVKdt3/OOeeoRYsWoX+XlZWpXbt26tmzp5YtW1bpce+998oYoz/96U913jaA6EaAAIAbb7/tHOFNnx5x1WO51GlV9u/fL2OMfvSjH4Utry5AJOnMM89Uq1at6rRdRIdjOQNSWlqqzp07KyEhQatXr65ynXXr1in/yJvs3bu3yjMW+fn5Msbo6quvDi1bs2ZNpZsYfn/bzZo10xVXXFGLvQTQFBEgAODG3//uHOH99rcRVz2WS51WZevWrTLGaMSIEWHLKwJk+/btKi4u1pdffqmtW7fqnnvuqbf/3UbjF5oD4nfOfPj9ijgHRHJ+HpiRkSGfz6dBgwZpxowZWrx4saZNmxb67s4/MtdpxYoVysjI0Lhx4/Too49qzpw5uuaaa+Tz+dS+fXt98sknofcdOnSofD5fpZ8MHm3w4MFKSEjQV199VS+fAYDoRIAAgAuBv72nfHOVcvq+pfx8OxN9r7rqKhlj9Morr4Qtr2oSujFGMTExxMdxJhBwznjk5Cji9/JoFRdIyMrKUkpKiuLi4pSWlqYhQ4Zo5cqVofW2bt2qoUOHKiMjQ0lJSUpISNDpp5+ucePGadeuXaH1vv76ayUmJurCCy+scbtLliyRMUazZs06pv0F0DQQIAAQQSAgZZ9TKr8pVayvPOL/NNfHpU7nzJkjY4xGjhxZ6bmKAFm5cqUKCgpUUFCgpUuXatSoUfL5fExCBwA0agQIAESQny/5E8tc/9a+rmdAli5dqpiYGF1yySU6dOhQpedrmgMyevRoGWNUUFBwzNsHAKAhESAAEEFOjhQbU+76akN1udTp8uXLFRcXpz59+oRd3vRoNQXIihUrZIzRhAkTar1tAABsIEAAIALnDEi56zMgx3qp0xdffFHx8fHKzs5WSUlJtevVFCDPPfecjDEaM2ZMrbYNAIAtBAgARBAISNnnHZLffKNYX1nEOSC1vdSpJK1evVoJCQnq2bOn9u3bV+N4agqQYcOGyRijhQsXut9BAAAsIkAAwIXAJ184V8Hq8aqrqw3V5lKn77zzjhITE9WsWTPNnj1beXl5YY8VK1a0powtAAAQwElEQVSEvff374Sel5enWbNm6dJLL5UxRt27d9fBgwcb6qMAAKBOCBAAcKO42PntVS1+2uT2UqdPPfVUlZfVrXh07Ngx7H2rugxvQkKCunTpogkTJkQ8gwIAgJcIEABwY/duJ0BuvNHrkQAAENUIEABwY/9+J0B+8QuvRwIAQFQjQADAjW++cQLk2mu9HgkAAFGNAAEANwIBJ0CuvtrrkQAAENUIEABwo7zcCZChQ70eCQAAUY0AAQC3YmKkIUO8HgUAAFGNAAEAtxISpJ/8xOtRAAAQ1QgQAHArKUkaNMjrUQAAENUIEABwKzlZGjDA61EAABDVCBAAcOvEE6Uf/tDrUQAAENUIEABwq3VrqW9fr0cBAEBUI0AAwK20NOnCC70eBQAAUY0AAQC3OnSQzj/f61EAABDVCBAAcOu006QePbweBQAAUY0AAQC3OneWzjnH9eolJSXKzc1Vdna2WrZsqfj4eKWlpWnw4MFavny5gsFgaN0HH3xQF154odq0aaOEhAS1b99egwYN0oYNGyq978iRI2WMCXukpqYqMzNTc+fOVVlZWX3sLQAADYIAAQC3unWTzjzT1aqFhYXq1KmTjDEaOHCgpk+frkWLFmnKlCnq1auXjDGaO3duaP3LLrtMN954Y2i9adOmqVu3bjLG6A9/+EPYe1cEyBNPPKG8vDwtWbJEM2bMUM+ePWWM0W233Vavuw0AQH0iQADAre7dpa5dI65WWlqqLl26KD4+XqtWrapynbVr12rp0qU1vk9JSYnatGmjs846K2x5RYDs2bMnbPmhQ4fUrl07JScnRxwjAABeIUAAwK1zz5U6dYq42qxZs2SM0cSJE+u8yW7duik9PT1sWXUBIklnnnmmWrVqVeftAgDQUAgQAHArM1Pq2DHian379pUxRjt27Kj1JoqLi7Vr1y69//77Gjt2rIwxGj16dNg6FQGyfft2FRcX68svv9TWrVt1zz33yBijSZMm1Xq7AADYQoAAgFtZWVL79hFXS01NVUpKyjFt4uiJ5c2aNdNNN92k0tLSsHWqmoRujFFMTAzxAQBo9AgQAHAhEJDyu96nnOazlZ/v/Ls6cXFxlX425VZBQYFefvllzZs3T+eff75GjBih3bt3h61TESArV65UQUGBCgoKtHTpUo0aNUo+n49J6ACARo0AAYAIAgEpO1vyxxxSrDksv9/5d3URUpczIEf75ptv1K1bN/Xu3TtseU1zQEaPHi1jjAoKCuq8fQAAGgIBAgAR5OdLfr9kzHcPv99ZXpU+ffoc8xyQ7/v1r38tY4w+/PDD0LKaAmTFihUyxmjChAl13jYAAA2BAAGACHJypNjY8ACJjXWWV6XiKlj1MR/jjjvukDFGmzZtCi2rKUCee+45GWM0ZsyYOm8bAICGQIAAQAS1PQNSWlqqzp07KyEhQatXr65ynXXr1in/yBvs27dPBw8erLROcXGx0tPT1bx587CJ6DUFyLBhw2SM0cKFC49hTwEAaHgECABEUNs5IJJzJ/SMjAz5fD4NGjRIM2bM0OLFizVt2rTQZXrnz58vSdqwYYNOOukkjRkzRo888oieeOIJ3XXXXWrdunXojudH+/6d0PPy8jRr1ixdeumlMsaoe/fuVQYNAACNAQECAC4EAlL++TOUY6Ypf2mwxvioUFJSotzcXGVlZSklJUVxcXFKS0vTkCFDtHLlytB6n376qUaPHq0zzjhDycnJYett3Lix0vtWdRnehIQEdenSRRMmTNC+ffvqc9cBAKhXBAgAuDVsmPP7q7Iyr0cCAEDUIkAAwK3hw50AOXTI65EAABC1CBAAcOu665wAOXDA65EAABC1CBAAcOv6650A2bvX65EAABC1CBAAcGv0aCdAvv7a65EAABC1CBAAcOuWW5wA2bXL65EAABC1CBAAcGvsWCdA/vtfr0cCAEDUIkAAwK3bb3cC5OOPvR4JAABRiwABALcmTHACZPt2r0cCAEDUIkAAwK2JE50AKSz0eiQAAEQtAgQA3LrvPidAtmzxeiQAAEQtAgQA3HrwQSdA3n/f65EAABC1CBAAcGvqVCdA3n3X65EAABC1CBAAcOvhh50Aeecdr0cCAEDUIkAAwK0ZM5wA+ctfvB4JAABRiwABALcefdQJkDfecP2SkpIS5ebmKjs7Wy1btlR8fLzS0tI0ePBgLV++XMFgsMrXBYNB9enTR8YYXX755ZWe79evn4wxoYfP51Pr1q3Vu3dvPfPMM8e8iwAANDQCBADcmjvXCZD1612tXlhYqE6dOskYo4EDB2r69OlatGiRpkyZol69eskYo7lz51b52ieffFLNmzevMUCSkpKUl5envLw8/f73v9dvfvMbde3aVcYYTZ8+vU67CgBAQyFAAMCtJ55wAmTt2oirlpaWqkuXLoqPj9eqVauqXGft2rVaunRppeVffvmlUlNTlZubW2OApKSkVFr+9ddfKz4+XmeffbaLHQIAwD4CBADcWrTICZA1ayKuOmvWLBljNHHixFpv5tprr9UZZ5yhQCBQ6wAJBoM64YQTlJmZWevtAgBgAwECAG49/bQTINWc0Tha3759ZYzRjh07arWJ9evXy+fzacOGDZJUY4AkJyeruLhYxcXF2rVrl95//31df/31MsZo4cKFtdouAAC2ECAA4FLg6WeUb65Szs+2KT9fCgSqXzc1NbXKMxQ1OXTokLp06aLhw4eHlrmdhF7xSExM1GOPPVar7QIAYBMBAgAuBAJSdudi+U2pYn3l8vul7OzqIyQuLk7p6em12sb999+v5ORkffHFF6FlNQVI8+bNVVBQEHrk5eXp8ssvl8/n0+9+97tabRsAAFsIEABwIT9f8seXyRiFHn6/s7wqtT0DUlhYqMTERD366KNhy2s7B0SSBgwYoNjYWG3bts319gEAsIUAAQAXcnKk2JjysACJjXWWV6XiHh5u54D85Cc/0amnnqpt27apqKgo9DDGqH///ioqKtJXX30VWr+mAJk5c6aMMZo3b16t9xMAgIZGgACAC/n5zhkPt2dAKq6CNWnSJFfvf84551Q5p+Pox9133x1av6YAqbh8729/+9ta7ycAAA2NAAEAFwIBZ86H3++c+Yg0B6S0tFSdO3dWQkKCVq9eXeU669atU/6RgikoKNCyZcsqPYwx6tmzp5YtW6Z//etfodfWdBne7OxsGWNUUFBQ9x0HAKCeESAA4FIg4JzxyMlRxKtgSc68joyMDPl8Pg0aNEgzZszQ4sWLNW3atNBleufPn1/je7i9E3peXp6mT58eio8BAwYoGAzWZXcBAGgQBAgANKCSkhLl5uYqKytLKSkpiouLU1pamoYMGaKVK1dGfH1tLsPr9/t11llnaerUqTp06FBD7A4AAHVGgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADWECAAAAAArCFAAAAAAFhDgAAAAACwhgABAAAAYA0BAgAAAMAaAgQAAACANQQIAAAAAGsIEAAAAADW/H9nQW//5Sk31QAAAABJRU5ErkJggg==\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "POP3 = \" C1   C2   C3  PO4   P1  P2  P3   -   -     -     -     -     -     -    -     -     -   GL1   GL2  C1A  D2A  C3A  C4A   -   C1B  C2B  C3B  C4B   -    -    - \".split()\n",
    "glycolipid.chartInstance('POP3',POP3)\n",
    "\n",
    "PAP3 = \" C1   C2   C3  PO4   P1  P2  P3   -   -     -     -     -     -     -    -     -     -   GL1   GL2  D1A  D2A  D3A  D4A  C5A  C1B  C2B  C3B  C4B   -     -    -\".split()\n",
    "glycolipid.chartInstance('PAP3',PAP3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The problem is that the schematic representation of the acyl tails does not agree with the actual structure of POP3, and the co-location of beads D2A and C3A\n",
    "\n",
    "Coarse grained 1-palmitoyl-2-oleoyl Phosphatidylinositol from http://cgmartini.nl/index.php/force-field-parameters/lipids2/351-lipid.html?dir=Phosphatidylinositols&lipid=POP3\n",
    "![Coarse grained 1-palmitoyl-2-oleoyl Phosphatidylinositol ](http://cgmartini.nl/images/parameters/lipids/Phosphatidylinositols/POP3/POP3-img.png)\n",
    "Atomistic 1-palmitoyl-2-arachidonoyl phosphatidylinositol\n",
    "![atomistic 1-palmitoyl-2-arachidonoyl phosphatidylcholine](https://upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Phosphatidylinositol-3%2C4%2C5-trisphosphate.svg/330px-Phosphatidylinositol-3%2C4%2C5-trisphosphate.svg.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "### Glycolipids from insane.py version 20131112.22.TAW (modified)\n",
    "Modified by Richard Morris to conform to the topology schematic, namely to move bead #10 away from #9, and bead 22 away from #21, and to untwist the acyl chains  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# cut and paste from insane.py version 20131112.22.TAW with modifications by Richard Morris\n",
    "moltype = \"GLYCOLIPIDS (modified)\"\n",
    "\n",
    "lipidsx[moltype]= [    0,  .5,   0,   0,  .5,  0,  0, .5,  0,    0,   .5,    0,    0,    0,   0,    0,    0,    0,   .5,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1]\n",
    "lipidsy[moltype]= [    0,   0,   0,   0,   0,  0,  0,  0,  0,    0,    0,    0,   .5,    1,   1,    1,    1,    0,    0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0]\n",
    "lipidsz[moltype]= [    8,   9,   9,  10,  11, 11, 12, 13, 13,   14,   15,   15,   12,   11,  12,   10,   13,    7,    7,   6,   5,   4,   3,   2,   6,   5,   4,   3,   2,   1,   0]\n",
    "#                      1    2    3    4    5   6   7   8   9    10    11    12    13    14   15    16    17    18    19   20   21   22   23   24   25   26   27   28   29   30   31\n",
    "glycolipidfixed = molecule(moltype,lipidsx[moltype],lipidsy[moltype],lipidsz[moltype])\n",
    "glycolipidfixed.bonds = ((1,2),(2,3),(1,3),(3,4),(4,5),(5,6),(4,6),(6,7),(7,8),(8,9),(7,9),(9,10),(10,11),(11,12),(10,12),\n",
    "                  (7,13),(13,14),(13,15),(14,15),(15,17),(14,16),\n",
    "                  (1,18),(18,20),(20,21),(21,22),(22,23),(23,24),\n",
    "                  (18,19),(19,25),(25,26),(26,27),(27,28),(28,29),(29,30),(30,31))\n",
    "glycolipidfixed.chart()\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Topology schematic \n",
    "~~~\n",
    "     17-15-14-16\n",
    "         |/\n",
    "        13\n",
    "         |\n",
    " 12-10-9-7-6-4-3-1--18--20-21-22-23-24\n",
    "  |/   |/  |/  |/    |\n",
    "  11   8   5   2    19--25-26-27-28-29-30-31\n",
    "~~~\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "POP3 = \" C1   C2   C3  PO4   P1  P2  P3   -   -     -     -     -     -     -    -     -     -   GL1   GL2  C1A  D2A  C3A  C4A   -   C1B  C2B  C3B  C4B   -    -    - \".split()\n",
    "glycolipidfixed.chartInstance('POP3',POP3)\n",
    "\n",
    "PAP3 = \" C1   C2   C3  PO4   P1  P2  P3   -   -     -     -     -     -     -    -     -     -   GL1   GL2  D1A  D2A  D3A  D4A  C5A  C1B  C2B  C3B  C4B   -     -    -\".split()\n",
    "glycolipidfixed.chartInstance('PAP3',PAP3)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Glycolipids from the latest version of  insane.py 20140603.11.TAW\n",
    "\n",
    "http://www.cgmartini.nl/images/tools/insane/insane.py\n",
    "\n",
    "By comparison this is a shorter 24 bead version of a glycolipid template in the latest implementation of insane.py "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# cut and paste from insane.py version 20140603.11.TAW\n",
    "moltype = \"GLYCOLIPIDSNew\"\n",
    "\n",
    "lipidsx[moltype] = (    0,  .5,   0,   0,  .5,  0,  0, .5,  0,    0,   .5,    0,    0,    0,   0,    0,    0,    0,   .5,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1)\n",
    "lipidsy[moltype] = (    0,   0,   0,   0,   0,  0,  0,  0,  0,    0,    0,    0,   .5,    1,   1,    1,    1,    0,    0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0)\n",
    "lipidsz[moltype] = (    6,   7,   7,   8,   9,  9, 10, 11, 11,   12,   13,   13,   10,    9,  10,    8,   11,    5,    5,   4,   3,   2,   1,   0,   4,   3,   2,   1,   0)\n",
    "#                       1    2    3    4    5   6   7   8   9    10    11    12    13    14   15    16    17    18    19   20   21   22   23   24   25   26   27   28   29   30   31\n",
    "glycolipidnew = molecule('GLYCOLIPIDSNew',lipidsx[moltype],lipidsy[moltype],lipidsz[moltype])\n",
    "glycolipidnew.bonds = ((1,2),(2,3),(1,3),(3,4),(4,5),(5,6),(4,6),(6,7),(7,8),(8,9),(7,9),(9,10),(10,11),(11,12),(10,12),(7,13),(13,14),(13,15),(14,15),(15,17),(14,16),(1,18),(18,25),(25,26),(26,27),(27,28),(28,29),(18,19),(19,20),(20,21),(21,22),(22,23),(23,24))\n",
    "glycolipidnew.chart()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Topology schematic \n",
    "~~~\n",
    "     17-15-14-16\n",
    "         |/\n",
    "        13\n",
    "         |\n",
    " 12-10-9-7-6-4-3-1--18--25-26-27-28-29\n",
    "  |/   |/  |/  |/    |\n",
    "  11   8   5   2    19--20-21-22-23-24\n",
    "~~~\n",
    "\n",
    "NB: the latest insane.py script fixes the colocation of beads #10.#11 and $21,#22 but the twist in the acyl chain is still evident\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Glycolipids when the alpha acyl tail comprises C20:4 (arachidonyl)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# cut and paste from insane.py version 20140603.11.TAW\n",
    "moltype = \"GLYCOLIPIDS_Arachidonyl\"\n",
    "\n",
    "lipidsx[moltype]= [    0,  .5,   0,   0,  .5,  0,  0, .5,  0,    0,   .5,    0,    0,    0,   0,    0,    0,    0,   .5,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1]\n",
    "lipidsy[moltype]= [    0,   0,   0,   0,   0,  0,  0,  0,  0,    0,    0,    0,   .5,    1,   1,    1,    1,    0,    0,   0,   0,  .5,  .5,  .5,   0,   0,   0,   0,   0,   0,   0]\n",
    "lipidsz[moltype]= [    8,   9,   9,  10,  11, 11, 12, 13, 13,   14,   15,   15,   12,   11,  12,   10,   13,    7,    7,   6,   5,   5,   6,   7,   6,   5,   4,   3,   2,   1,   0]\n",
    "#                      1    2    3    4    5   6   7   8   9    10    11    12    13    14   15    16    17    18    19   20   21   22   23   24   25   26   27   28   29   30   31\n",
    "glycolipidarachidonyl = molecule(moltype,lipidsx[moltype],lipidsy[moltype],lipidsz[moltype])\n",
    "glycolipidarachidonyl.bonds = ((1,2),(2,3),(1,3),(3,4),(4,5),(5,6),(4,6),(6,7),(7,8),(8,9),(7,9),(9,10),(10,11),(11,12),(10,12),(7,13),(13,14),(13,15),(14,15),(15,17),(14,16),(1,18),(18,20),(20,21),(21,22),(22,23),(23,24),(18,19),(19,25),(25,26),(26,27),(27,28),(28,29),(29,30),(30,31))\n",
    "glycolipidarachidonyl.chart()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PAP3 = \" C1   C2   C3  PO4   P1  P2  P3   -   -     -     -     -     -     -    -     -     -   GL1   GL2  D1A  D2A  D3A  D4A  C5A  C1B  C2B  C3B  C4B   -     -    -\".split()\n",
    "glycolipidarachidonyl.chartInstance('PAP3',PAP3)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Topology schematic \n",
    "~~~\n",
    "     17-15-14-16\n",
    "         |/\n",
    "        13           24-23-22 \n",
    "         |                  | \n",
    " 12-10-9-7-6-4-3-1--18--20-21\n",
    "  |/   |/  |/  |/    |\n",
    "  11   8   5   2    19--25-26-27-28-29\n",
    "~~~\n",
    "\n",
    "---"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}