{
 "metadata": {
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  "signature": "sha256:d8a9c65c1d0320748847884da8454ec88b8a33eb336299edf89662ce7edec668"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#Newsreader Universities\n",
      "* Author: Paul Groth\n",
      "* Date: January 21, 2015\n",
      "* Where: [Newsreader Amsterdam Hackathon](http://www.newsreader-project.eu/hackathon/)\n",
      "\n",
      "The goal of this ipython notebook is to play around with the [NewsReader project's](http://www.newsreader-project.eu) API to see what information we can find about universities in the news.\n",
      "\n",
      "We use the [NewsReader Simple API](https://newsreader.scraperwiki.com) to interact with data extracted from the Lexis Nexis corpus of news.\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Some setup"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import json\n",
      "import urllib2\n",
      "import urllib\n",
      "from IPython.display import display"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Are there scientists in the data?\n",
      "* Remember to add &output=json to grab the data back"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "request_str = 'https://newsreader.scraperwiki.com/types_of_actors?filter=scientist&output=json'\n",
      "res = json.load(urllib2.urlopen(request_str))\n",
      "print res"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "{u'count': 1, u'next page': u'https://newsreader.scraperwiki.com/cars/types_of_actors/page/2?output=json&filter=scientist', u'payload': [{u'count': u'2457', u'type': u'http://dbpedia.org/ontology/Scientist'}], u'page number': 1}\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# List of all the universities in the system\n",
      "* note we only grab the first 20 so we don't have to loop through the data\n",
      "* contains a dbpedia url, a comment, and the number of events in the news the university was found in"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#request_str = \"https://newsreader.scraperwiki.com/summary_of_events_with_actor_type?datefilter=2010-01&uris.0=dbo:University&output=json\"\n",
      "#request_str = \"https://newsreader.scraperwiki.com/summary_of_events_with_event_label?filter=acquisition&datefilter=2010&output=json\"\n",
      "request_str = \"https://newsreader.scraperwiki.com/actors_of_a_type?uris.0=dbo:University&filter=university\"\n",
      "res = json.load(urllib2.urlopen(request_str+\"&output=json\"))\n",
      "\n",
      "print res"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "{u'count': 2469, u'next page': u'https://newsreader.scraperwiki.com/cars/actors_of_a_type/page/2?filter=university&output=json&uris.0=dbo%3AUniversity', u'payload': [{u'comment': u'The Texas Tech University System is a state university system in Texas consisting of four separate universities in the state of Texas, of which two are academic institutions: Angelo State University and Texas Tech University, and two are health institutions: Texas Tech University Health Sciences Center, and Texas Tech University Health Sciences Center El Paso Campus. The System is headquartered in the Administration Building on the Texas Tech University campus in Lubbock, Texas.', u'count': u'1025', u'actor': u'http://dbpedia.org/resource/Texas_Tech_University_System'}, {u'comment': u\"The University of Michigan (UM, U-M, UMich, or U of M), frequently referred to as simply Michigan, is a public research university located in Ann Arbor, Michigan, United States. It is the state's oldest university and has two satellite campuses located in Flint and Dearborn. The university was founded in 1817 in Detroit as the Catholepistemiad, or University of Michigania, about 20 years before the Michigan Territory officially became a state.\", u'count': u'1000', u'actor': u'http://dbpedia.org/resource/University_of_Michigan'}, {u'comment': u'Leland Stanford Junior University, commonly referred to as Stanford University, is a private research university in Stanford, California in northwestern Silicon Valley near Palo Alto. Its academic reputation, eminent alumni, influence, and wealth have made it one of the most prestigious universities in the world.The university was founded in 1885 by Leland Stanford, former governor of and U.S.', u'count': u'607', u'actor': u'http://dbpedia.org/resource/Stanford_University'}, {u'comment': u'Michigan State University (MSU) is a public research university located in East Lansing, Michigan, United States and is the first land-grant institution that was created to serve as a model for future land-grant colleges in the country under the 1862 Morrill Act.MSU pioneered the studies of packaging, hospitality business, supply chain management, and telecommunication.', u'count': u'571', u'actor': u'http://dbpedia.org/resource/Michigan_State_University'}, {u'comment': u'The Pennsylvania State University (commonly referred to as Penn State or PSU) is a public, state-related research university with campuses and facilities throughout Pennsylvania. Founded in 1855, the university has a stated threefold mission of teaching, research, and public service. Its instructional mission includes undergraduate, graduate, professional and continuing education offered through resident instruction and online delivery.', u'count': u'554', u'actor': u'http://dbpedia.org/resource/Pennsylvania_State_University'}, {u'comment': u\"Harvard University is a private Ivy League research university in Cambridge, Massachusetts, whose history, influence and wealth have made it one of the most prestigious universities in the world.Established in 1636 by the Massachusetts legislature and soon thereafter named for John Harvard (its first benefactor), Harvard is the United States' oldest institution of higher learning, and the Harvard Corporation (formally, the President and Fellows of Harvard College) is its first chartered corporation. \", u'count': u'507', u'actor': u'http://dbpedia.org/resource/Harvard_University'}, {u'comment': u'Auburn University (AU or Auburn) is a public university located in Auburn, Alabama, United States. With more than 20,000 undergraduate students, and a total of over 25,000 students and 1,200 faculty members, it is one of the largest universities in the state. Auburn was chartered on February 7, 1856, as the East Alabama Male College, a private liberal arts school affiliated with the Methodist Episcopal Church, South.', u'count': u'490', u'actor': u'http://dbpedia.org/resource/Auburn_University'}, {u'comment': u\"The University of Southern California (known as USC or SC) is a private, not-for-profit, nonsectarian, research university founded in 1880 with its main campus in Los Angeles, California. As California's oldest private research university, USC has historically educated a large number of the region's business leaders and professionals.\", u'count': u'451', u'actor': u'http://dbpedia.org/resource/University_of_Southern_California'}, {u'comment': u'Purdue University, located in West Lafayette, Indiana, is the flagship university of the six-campus Purdue University system. Purdue was founded on May 6, 1869, as a land-grant university when the Indiana General Assembly, taking advantage of the Morrill Act, accepted a donation of land and money from Lafayette businessman John Purdue to establish a college of science, technology, and agriculture in his name.', u'count': u'441', u'actor': u'http://dbpedia.org/resource/Purdue_University'}, {u'comment': u\"The University of Nebraska\\u2013Lincoln (commonly referred to as Nebraska, UNL or NU) is a public research university located in Lincoln, Nebraska, United States. It is the state's oldest and largest university and the flagship university of the University of Nebraska system.The university was chartered by the legislature in 1869 as a land-grant university under the 1862 Morrill Act, two years after Nebraska's statehood into the United States.\", u'count': u'419', u'actor': u'http://dbpedia.org/resource/University_of_Nebraska\\u2013Lincoln'}, {u'comment': u'The University of Tennessee (also referred to as the University of Tennessee, Knoxville, UT Knoxville, UTK, or UT) is a public sun-grant and land-grant university headquartered at Knoxville, Tennessee, United States.', u'count': u'415', u'actor': u'http://dbpedia.org/resource/University_of_Tennessee'}, {u'comment': u\"Virginia Polytechnic Institute and State University, popularly known as Virginia Tech, is a public land-grant university with a main campus in Blacksburg, Virginia, educational facilities in six regions statewide, and a study-abroad site in Switzerland. The commonwealth's most comprehensive university and leading research institution, Virginia Tech offers 225 undergraduate and graduate degree programs to some 31,000 students and manages a research portfolio of $454 million.\", u'count': u'414', u'actor': u'http://dbpedia.org/resource/Virginia_Tech'}, {u'comment': u'Arizona State University (commonly referred to as ASU or Arizona State) is a national space-grant institution and public metropolitan research university located on several campuses spread across the Phoenix, Arizona Metropolitan Area. It is the largest public university in the United States by enrollment. Founded in 1885 as The Arizona Territorial Normal School at Tempe, the school came under control of the Arizona Board of Regents in 1945 and was renamed Arizona State College.', u'count': u'406', u'actor': u'http://dbpedia.org/resource/Arizona_State_University'}, {u'comment': u'The University of Lincoln is a public university in the city of Lincoln, England. The university has origins tracing back to 1861, and after gaining university status in 1992, was known as the University of Humberside until 1996 and the University of Lincolnshire and Humberside until 2001, when it adopted its present name.Lincoln is one of two universities in the city, alongside Bishop Grosseteste University.', u'count': u'400', u'actor': u'http://dbpedia.org/resource/University_of_Lincoln'}, {u'comment': u'The University of North Carolina at Chapel Hill (also known as UNC, UNC-Chapel Hill, Chapel Hill, North Carolina, or simply Carolina) is a coeducational public research university located in Chapel Hill, North Carolina, United States. North Carolina has been consistently ranked among the highest ranked universities in the United States and is one of the original eight Public Ivy schools that provide an Ivy League experience for a public schooling price.', u'count': u'397', u'actor': u'http://dbpedia.org/resource/University_of_North_Carolina_at_Chapel_Hill'}, {u'comment': u'Louisiana State University and Agricultural and Mechanical College (most often referred to as Louisiana State University or LSU) is a public coeducational university located in Baton Rouge, Louisiana. The University was founded in 1853 in what is now known as Pineville, Louisiana, under the name Louisiana State Seminary of Learning & Military Academy.', u'count': u'387', u'actor': u'http://dbpedia.org/resource/Louisiana_State_University'}, {u'comment': u'The University of California (UC) is a public university system in the U.S. state of California.', u'count': u'382', u'actor': u'http://dbpedia.org/resource/University_of_California'}, {u'comment': u'New Mexico State University at Las Cruces (officially New Mexico State University, although also commonly referred to as NMSU-Las Cruces, NMSU, or NM State), is a major land-grant university in Las Cruces, New Mexico, United States.', u'count': u'381', u'actor': u'http://dbpedia.org/resource/New_Mexico_State_University'}, {u'comment': u'Clemson University /\\u02c8kl\\u025bms\\u0259n/ is an American public, coeducational, land-grant and sea-grant research university located in Clemson, South Carolina, United States.Founded in 1889, Clemson University consists of five colleges: Agriculture, Forestry and Life Sciences; Architecture, Arts and Humanities; Business and Behavioral Sciences; Engineering and Science; and Health, Education and Human Development.', u'count': u'381', u'actor': u'http://dbpedia.org/resource/Clemson_University'}, {u'comment': u'The Ohio State University, commonly referred to as Ohio State or OSU, is a public research university in Columbus, Ohio. Founded in 1870, as a land-grant university and ninth university in Ohio with the Morrill Act of 1862, the university was originally known as the Ohio Agricultural and Mechanical College.', u'count': u'375', u'actor': u'http://dbpedia.org/resource/Ohio_State_University'}], u'page number': 1}\n"
       ]
      }
     ],
     "prompt_number": 27
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Plot!\n",
      "* Here we plot the number of events in which the unviersities occured in. "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import pandas as pd\n",
      "import numpy as np\n",
      "import matplotlib.pyplot as plt"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 28
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "uniToCount = {\"uni\": [],\n",
      "              \"count\": []}\n",
      "payload = res['payload']\n",
      "\n",
      "\n",
      "print uniToCount\n",
      "for p in payload:\n",
      "    actor = p['actor'][28:]\n",
      "    count = p['count']\n",
      "    uniToCount[\"uni\"].append(actor)\n",
      "    uniToCount[\"count\"].append(int(count))\n",
      "    \n",
      "df = pd.DataFrame(uniToCount)\n",
      "print df\n",
      "\n",
      "\n",
      "\n",
      "df.plot(kind='barh',x='uni', title=\"Number of Events in the News\")\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "{'count': [], 'uni': []}\n",
        "    count                                          uni\n",
        "0    1025                 Texas_Tech_University_System\n",
        "1    1000                       University_of_Michigan\n",
        "2     607                          Stanford_University\n",
        "3     571                    Michigan_State_University\n",
        "4     554                Pennsylvania_State_University\n",
        "5     507                           Harvard_University\n",
        "6     490                            Auburn_University\n",
        "7     451            University_of_Southern_California\n",
        "8     441                            Purdue_University\n",
        "9     419               University_of_Nebraska\u2013Lincoln\n",
        "10    415                      University_of_Tennessee\n",
        "11    414                                Virginia_Tech\n",
        "12    406                     Arizona_State_University\n",
        "13    400                        University_of_Lincoln\n",
        "14    397  University_of_North_Carolina_at_Chapel_Hill\n",
        "15    387                   Louisiana_State_University\n",
        "16    382                     University_of_California\n",
        "17    381                  New_Mexico_State_University\n",
        "18    381                           Clemson_University\n",
        "19    375                        Ohio_State_University\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 29,
       "text": [
        "<matplotlib.axes._subplots.AxesSubplot at 0x107d2e8d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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FwlVXV8uxcFp0p5g6MpaamhocOV+EiRMn2twj5StRU3pusz5jb4tenx444euG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\nEQmOEz4iIiIiwf1/uyNRCjii4lYAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107b25650>"
       ]
      }
     ],
     "prompt_number": 29
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Retrieve what kinds of events the universities are involved in\n",
      "* Uses the event_details_filtered_by_actor api\n",
      "* Note they include a handy __next page__ field in the json results for looping through results\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from collections import defaultdict\n",
      "#str = 'https://newsreader.scraperwiki.com/event_details_filtered_by_actor?uris.0=' + actor + '&output=json'\n",
      "\n",
      "actorToLabels = {}\n",
      "for p in payload:\n",
      "    print \"start\"\n",
      "    labels = defaultdict()\n",
      "    actor = p['actor']\n",
      "    print actor\n",
      "    url = 'https://newsreader.scraperwiki.com/summary_of_events_with_actor?uris.0=' + actor + '&output=json'\n",
      "    while url:\n",
      "        res = json.load(urllib2.urlopen(url))\n",
      "        #print res\n",
      "        if 'next page' in res:\n",
      "            url = res['next page']\n",
      "        else:\n",
      "            break\n",
      "            \n",
      "        for r in res['payload']:\n",
      "            if r['event_label'] in labels:\n",
      "                labels[r['event_label']] += 1\n",
      "            else:\n",
      "                labels[r['event_label']] = 1\n",
      "    \n",
      "        print url\n",
      "        actorToLabels[actor] = labels\n",
      "\n",
      "    \n",
      "    "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "start\n",
        "http://dbpedia.org/resource/Texas_Tech_University_System\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/2?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/3?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System&output=json"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/4?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/5?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System&output=json"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/6?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/7?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System&output=json"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/8?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/9?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System&output=json"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/10?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/11?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System&output=json"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/12?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/13?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System&output=json"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/14?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/15?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System&output=json"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/16?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/17?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System&output=json"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/18?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/19?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System&output=json"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/20?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/21?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System&output=json"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/22?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/23?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System&output=json"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/24?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/25?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System&output=json"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/26?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FTexas_Tech_University_System"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
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        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/12?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FAuburn_University"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/13?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FAuburn_University&output=json"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/14?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FAuburn_University"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/15?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FAuburn_University&output=json"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/16?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FAuburn_University"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/17?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FAuburn_University&output=json"
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        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/18?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FAuburn_University"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/19?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FAuburn_University&output=json"
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        "\n",
        "http://dbpedia.org/resource/University_of_Southern_California\n",
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/3?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FUniversity_of_Southern_California&output=json"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/4?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FUniversity_of_Southern_California"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/5?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FUniversity_of_Southern_California&output=json"
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        "\n",
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        "\n",
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        "\n",
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        "\n",
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/10?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FUniversity_of_Southern_California"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/11?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FUniversity_of_Southern_California&output=json"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/12?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FUniversity_of_Southern_California"
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        "\n",
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/14?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FUniversity_of_Southern_California"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/15?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FUniversity_of_Southern_California&output=json"
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       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/16?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FUniversity_of_Southern_California"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/17?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FUniversity_of_Southern_California&output=json"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/18?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FUniversity_of_Southern_California"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/19?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FUniversity_of_Southern_California&output=json"
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       "text": [
        "\n",
        "http://dbpedia.org/resource/Purdue_University\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/2?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/3?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University&output=json"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/4?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/5?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University&output=json"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/6?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University"
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       "output_type": "stream",
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       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/7?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University&output=json"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/8?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/9?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University&output=json"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/10?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University"
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       "output_type": "stream",
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/11?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University&output=json"
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       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/12?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University"
       ]
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       "output_type": "stream",
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/13?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University&output=json"
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       "output_type": "stream",
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       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/14?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University"
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        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/15?uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University&output=json"
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       "text": [
        "\n",
        "https://newsreader.scraperwiki.com/cars/summary_of_events_with_actor/page/16?output=json&uris.0=http%3A%2F%2Fdbpedia.org%2Fresource%2FPurdue_University"
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       "text": [
        "\n",
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       "text": [
        "\n",
        "http://dbpedia.org/resource/University_of_Nebraska\u2013Lincoln\n"
       ]
      },
      {
       "ename": "UnicodeEncodeError",
       "evalue": "'ascii' codec can't encode character u'\\u2013' in position 91: ordinal not in range(128)",
       "output_type": "pyerr",
       "traceback": [
        "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mUnicodeEncodeError\u001b[0m                        Traceback (most recent call last)",
        "\u001b[0;32m<ipython-input-52-eb8b10bfe4f0>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m     10\u001b[0m     \u001b[0murl\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'https://newsreader.scraperwiki.com/summary_of_events_with_actor?uris.0='\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mactor\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;34m'&output=json'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     11\u001b[0m     \u001b[0;32mwhile\u001b[0m \u001b[0murl\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 12\u001b[0;31m         \u001b[0mres\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mjson\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mload\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0murllib2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0murlopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0murl\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     13\u001b[0m         \u001b[0;31m#print res\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     14\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0;34m'next page'\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mres\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/urllib2.pyc\u001b[0m in \u001b[0;36murlopen\u001b[0;34m(url, data, timeout)\u001b[0m\n\u001b[1;32m    125\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0m_opener\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    126\u001b[0m         \u001b[0m_opener\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mbuild_opener\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 127\u001b[0;31m     \u001b[0;32mreturn\u001b[0m \u001b[0m_opener\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0murl\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtimeout\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    128\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    129\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0minstall_opener\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mopener\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/urllib2.pyc\u001b[0m in \u001b[0;36mopen\u001b[0;34m(self, fullurl, data, timeout)\u001b[0m\n\u001b[1;32m    402\u001b[0m             \u001b[0mreq\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmeth\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mreq\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    403\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 404\u001b[0;31m         \u001b[0mresponse\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_open\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mreq\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    405\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    406\u001b[0m         \u001b[0;31m# post-process response\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/urllib2.pyc\u001b[0m in \u001b[0;36m_open\u001b[0;34m(self, req, data)\u001b[0m\n\u001b[1;32m    420\u001b[0m         \u001b[0mprotocol\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mreq\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_type\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    421\u001b[0m         result = self._call_chain(self.handle_open, protocol, protocol +\n\u001b[0;32m--> 422\u001b[0;31m                                   '_open', req)\n\u001b[0m\u001b[1;32m    423\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mresult\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    424\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mresult\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/urllib2.pyc\u001b[0m in \u001b[0;36m_call_chain\u001b[0;34m(self, chain, kind, meth_name, *args)\u001b[0m\n\u001b[1;32m    380\u001b[0m             \u001b[0mfunc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgetattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mhandler\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmeth_name\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    381\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 382\u001b[0;31m             \u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    383\u001b[0m             \u001b[0;32mif\u001b[0m \u001b[0mresult\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    384\u001b[0m                 \u001b[0;32mreturn\u001b[0m \u001b[0mresult\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/urllib2.pyc\u001b[0m in \u001b[0;36mhttps_open\u001b[0;34m(self, req)\u001b[0m\n\u001b[1;32m   1220\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1221\u001b[0m         \u001b[0;32mdef\u001b[0m \u001b[0mhttps_open\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mreq\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1222\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdo_open\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mhttplib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mHTTPSConnection\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mreq\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1223\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1224\u001b[0m         \u001b[0mhttps_request\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mAbstractHTTPHandler\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdo_request_\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/urllib2.pyc\u001b[0m in \u001b[0;36mdo_open\u001b[0;34m(self, http_class, req)\u001b[0m\n\u001b[1;32m   1179\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1180\u001b[0m         \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1181\u001b[0;31m             \u001b[0mh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrequest\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mreq\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_method\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mreq\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_selector\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mreq\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mheaders\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1182\u001b[0m         \u001b[0;32mexcept\u001b[0m \u001b[0msocket\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0merror\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0merr\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;31m# XXX what error?\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1183\u001b[0m             \u001b[0mh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/httplib.pyc\u001b[0m in \u001b[0;36mrequest\u001b[0;34m(self, method, url, body, headers)\u001b[0m\n\u001b[1;32m    971\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mrequest\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmethod\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0murl\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbody\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mheaders\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m{\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    972\u001b[0m         \u001b[0;34m\"\"\"Send a complete request to the server.\"\"\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 973\u001b[0;31m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_send_request\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmethod\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0murl\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbody\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mheaders\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    974\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    975\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m_set_content_length\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbody\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/httplib.pyc\u001b[0m in \u001b[0;36m_send_request\u001b[0;34m(self, method, url, body, headers)\u001b[0m\n\u001b[1;32m   1005\u001b[0m         \u001b[0;32mfor\u001b[0m \u001b[0mhdr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mheaders\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0miteritems\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1006\u001b[0m             \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mputheader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mhdr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1007\u001b[0;31m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mendheaders\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mbody\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1008\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1009\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mgetresponse\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbuffering\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/httplib.pyc\u001b[0m in \u001b[0;36mendheaders\u001b[0;34m(self, message_body)\u001b[0m\n\u001b[1;32m    967\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    968\u001b[0m             \u001b[0;32mraise\u001b[0m \u001b[0mCannotSendHeader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 969\u001b[0;31m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_send_output\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmessage_body\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    970\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    971\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mrequest\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmethod\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0murl\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbody\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mheaders\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m{\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/httplib.pyc\u001b[0m in \u001b[0;36m_send_output\u001b[0;34m(self, message_body)\u001b[0m\n\u001b[1;32m    827\u001b[0m             \u001b[0mmsg\u001b[0m \u001b[0;34m+=\u001b[0m \u001b[0mmessage_body\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    828\u001b[0m             \u001b[0mmessage_body\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mNone\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 829\u001b[0;31m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    830\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mmessage_body\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    831\u001b[0m             \u001b[0;31m#message_body was not a string (i.e. it is a file) and\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/httplib.pyc\u001b[0m in \u001b[0;36msend\u001b[0;34m(self, data)\u001b[0m\n\u001b[1;32m    803\u001b[0m                 \u001b[0mdatablock\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mblocksize\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    804\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 805\u001b[0;31m             \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msock\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msendall\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    806\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    807\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m_output\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/ssl.pyc\u001b[0m in \u001b[0;36msendall\u001b[0;34m(self, data, flags)\u001b[0m\n\u001b[1;32m    227\u001b[0m             \u001b[0mcount\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    228\u001b[0m             \u001b[0;32mwhile\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mcount\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0mamount\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 229\u001b[0;31m                 \u001b[0mv\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mcount\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    230\u001b[0m                 \u001b[0mcount\u001b[0m \u001b[0;34m+=\u001b[0m \u001b[0mv\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    231\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mamount\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;32m/System/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/ssl.pyc\u001b[0m in \u001b[0;36msend\u001b[0;34m(self, data, flags)\u001b[0m\n\u001b[1;32m    196\u001b[0m             \u001b[0;32mwhile\u001b[0m \u001b[0mTrue\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    197\u001b[0m                 \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 198\u001b[0;31m                     \u001b[0mv\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_sslobj\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwrite\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    199\u001b[0m                 \u001b[0;32mexcept\u001b[0m \u001b[0mSSLError\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    200\u001b[0m                     \u001b[0;32mif\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mSSL_ERROR_WANT_READ\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
        "\u001b[0;31mUnicodeEncodeError\u001b[0m: 'ascii' codec can't encode character u'\\u2013' in position 91: ordinal not in range(128)"
       ]
      }
     ],
     "prompt_number": 52
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print actorToLabels"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "{u'http://dbpedia.org/resource/Texas_Tech_University_System': defaultdict(None, {u'perspective': 1, u'authorize': 3, u'help': 1, u'ratify': 1, u'consent': 1, u'retire': 1, u'bring': 3, u'Chairman': 13, u'committee': 1, u'follow': 2, u'alternative': 1, u'staff': 1, u'hold': 4, u'application': 1, u'claude': 1, u'measure': 1, u'removal': 1, u'add': 3, u'board': 4, u'factor': 1, u'announce': 1, u'chairman': 3, u're-appoint': 1, u'appointment': 12, u'get': 2, u'enrich': 1, u'slate': 1, u'outlet': 1, u'govern': 1, u'independentmembers': 1, u'name': 1, u'term': 1, u're-elect': 2, u'remove': 1, u'officer': 1, u'nominate': 1, u'release': 1, u'enhance': 2, u'view': 2, u'set': 1, u'seat': 30, u'election': 7, u'respect': 1, u'vacate': 1, u'close': 1, u'chair': 1, u'category': 1, u'represent': 1, u'lead': 1, u'confirm': 1, u'please': 3, u'increase': 2, u'discretion': 3, u'eliminate': 2, u'issue': 3, u'body': 1, u'welcome': 3, u'run': 1, u'extend': 2, u'opening': 1, u'team': 2, u'expansion': 1, u'like': 2, u'step': 1, u'expire': 1, u'struggle': 1, u'advisor': 1, u'put': 2, u'dividend': 4, u'standard': 1, u'change': 2, u'improve': 1, u'convert': 1, u'receive': 1, u'study': 1, u'renew': 1, u'place': 1, u'stand': 1, u'act': 1, u'action': 1, u'retain': 1, u'contribution': 1, u'adorn': 1, u'maker': 1, u'duty': 1, u'elect': 14, u'secure': 1, u'supply': 1, u'year': 1, u'appoints': 1, u'Member': 1, u'Board': 110, u'president': 2, u'vote': 2, u'table': 1, u'consider': 1, u'select': 1, u'Appointment': 1, u'proceed': 2, u'service': 2, u'become': 1, u'addition': 1, u'supervise': 1, u'visit': 1, u'Treasurer': 1, u'submit': 3, u'live': 2, u'convention': 1, u'Vice-Chairman': 1, u'authorization': 1, u'relinquish': 1, u'direction': 1, u'option': 1, u'offer': 3, u'club': 1, u'tool': 2, u'serve': 10, u'search': 1, u'flag': 1, u'representative': 3, u'sign': 2, u'appointee': 1, u'behalf': 5, u'hire': 1, u'join': 9, u'consist': 3, u'amend': 1, u'meeting': 11, u'work': 3, u'aim': 1, u'oversee': 1, u'compensation': 1, u'light': 1, u'meet': 3, u'result': 1, u'Retirement': 1, u'give': 3, u'process': 1, u'contribute': 1, u'restructure': 1, u'accept': 3, u'involve': 1, u'deem': 1, u'partner': 1, u'fill': 4, u'strength': 1, u'sit': 2, u'provide': 6, u'pay': 1, u'make': 4, u'member': 41, u'majority': 1, u'emphasis': 1, u'take': 4, u'resignation': 2, u'composition': 1, u'minority': 1, u're-election': 1, u'refusal': 1, u'resign': 3, u'director': 1, u'membership': 1, u'shareholder': 1, u'letter': 1, u'position': 5, u'date': 1, u'build': 1, u'expand': 3, u'appoint': 13, u'purchase': 3, u'invest': 2, u'grant': 2, u'cover': 1, u'directors': 1, u'contact': 1, u'allow': 1, u'Election': 1, u'withdraw': 1, u'tenure': 1, u'representation': 1, u'operate': 1, u'discussion': 1}), u'http://dbpedia.org/resource/Pennsylvania_State_University': defaultdict(None, {u'coach': 4, u'consider': 1, u'office': 2, u'athletic': 1, u'executive': 1, u'obtain': 3, u'rest': 1, u'bring': 4, u'manager': 5, u'love': 1, u'graduate': 20, u'help': 2, u'access': 1, u'justice': 1, u'send': 1, u'tie': 1, u'environment': 1, u'charge': 1, u'program': 9, u'location': 1, u'employee': 1, u'scholar': 1, u'build': 3, u'move': 4, u'return': 2, u'member': 2, u'get': 2, u'assistant': 1, u'rise': 1, u'bear': 1, u'unveil': 1, u'commemorate': 1, u'test': 1, u'game': 10, u'boost': 1, u'fan': 5, u'decide': 1, u'fall': 1, u'ticket': 2, u'induct': 1, u'tickets': 1, u'loss': 1, u'earn': 8, u'appeal': 1, u'towel': 1, u'like': 1, u'gift': 1, u'edit': 1, u'approach': 1, u'professorship': 1, u'merge': 1, u'race': 1, u'follow': 1, u'architecture': 1, u'team': 1, u'release': 4, u'involvement': 1, u'grab': 1, u'status': 1, u'set': 1, u'art': 1, u'alumnus': 1, u'deal': 3, u'plant': 1, u'seat': 2, u'administrator': 2, u'cost': 1, u'result': 2, u're-install': 1, u'trombone': 1, u'home': 1, u'project': 1, u'alums': 2, u'termination': 1, u'lead': 1, u'confirm': 1, u'assistance': 1, u'publish': 2, u'tend': 1, u'spokesman': 1, u'trustees': 1, u'curriculum': 1, u'conduct': 3, u'affiliate': 1, u'staff': 1, u'issue': 4, u'price': 1, u'common': 1, u'specialist': 1, u'degree': 2, u'exchange': 1, u'marketing': 1, u'million': 1, u'ticketholders': 1, u'job': 1, u'imaging': 1, u'key': 1, u'headline': 1, u'put': 1, u'teach': 1, u'come': 1, u'enrol': 2, u'change': 3, u'improve': 1, u'advance': 1, u'search': 1, u'no ticket': 1, u'auction': 1, u'shift': 1, u'study': 1, u'firing': 1, u'graduation': 1, u'dissolve': 1, u'turn': 2, u'connection': 1, u'feis': 1, u'place': 1, u'fraternity': 1, u'retain': 1, u'star': 1, u'honor': 1, u'authorize': 1, u'tone': 1, u'student': 12, u'researcher': 6, u'community': 3, u'recognize': 1, u'production': 1, u'semester': 1, u'initiative': 2, u'rink': 1, u'lieu': 1, u'vote': 2, u'dean': 2, u'message': 1, u'poll': 1, u'unit': 1, u'raise': 3, u'become': 1, u'addition': 1, u'transfer': 2, u'create': 1, u'B.S.': 1, u'partnership': 2, u'add': 1, u'resell': 1, u'process': 1, u'spread': 1, u'master': 1, u'convention': 1, u'meeting': 1, u'cite': 1, u'board': 4, u'buy': 1, u'Center': 1, u'name': 1, u'offer': 1, u'tool': 1, u'acre': 1, u'serve': 2, u'direct': 1, u'economic': 1, u'part': 5, u'link': 1, u'stick': 1, u'catch': 1, u'line': 1, u'hold': 2, u'junior': 2, u'jump': 1, u'join': 2, u'player': 3, u'science': 2, u'challenge': 1, u'work': 5, u'engineering': 2, u'spokeswoman': 2, u'receive': 5, u'future': 1, u'College': 3, u'property': 1, u'scramble': 1, u'history': 1, u'streak': 1, u'supervisor': 1, u'runner': 1, u'attribute': 1, u'contribute': 1, u'share': 2, u'accept': 1, u'fellow': 1, u'involve': 1, u'coordinator': 1, u'provost': 1, u'have': 2, u'arise': 1, u'partner': 2, u'seem': 1, u'pit': 1, u'campus': 9, u'trustee': 3, u'founding': 1, u'develop': 1, u'provide': 2, u'make': 2, u'government': 1, u'administration': 2, u'check': 1, u'write': 1, u'field': 2, u'emphasis': 1, u'take': 5, u'option': 1, u'department': 4, u'party': 1, u'native': 1, u'development': 1, u'play': 4, u'finish': 1, u'GRIT': 1, u'attend': 3, u'collaboration': 2, u'unleash': 1, u'effect': 1, u'stay': 2, u'director': 18, u'chance': 1, u'letter': 1, u'faculty': 3, u'president': 12, u'grow': 1, u'physic': 1, u'pull': 1, u'break': 1, u'voting': 1, u'rationalize': 1, u'professor': 9, u'camp': 1, u'drive': 2, u'vaulter': 1, u'switch': 1, u'contact': 1, u'enter': 1, u'push': 1, u'position': 1, u'operate': 1}), u'http://dbpedia.org/resource/Harvard_University': defaultdict(None, {u'conversation': 1, u'percent': 1, u'leftist': 1, u'move': 1, u'skit': 1, u'course': 2, u'manager': 2, u'scientist': 1, u'identify': 1, u'J.D.': 1, u'follow': 6, u'vocation': 1, u'economist': 1, u'make': 1, u'write': 2, u'death': 1, u'buddy': 1, u'employer': 1, u'program': 1, u'geologist': 1, u'win': 1, u'policy': 1, u'swim': 1, u'ensnare': 1, u'return': 1, u'L.L.B.': 1, u'get': 4, u'rise': 1, u'watch': 1, u'bear': 1, u'geek': 1, u'game': 1, u'fan': 1, u'prof': 1, u'room': 2, u'earn': 9, u'scholar': 3, u'gift': 1, u'brain': 1, u'list': 1, u'leave': 1, u'officer': 1, u'team': 1, u'release': 2, u'found': 1, u'wonk': 1, u'B.A.': 1, u'attorney': 1, u'set': 2, u'dean': 4, u'deal': 1, u'eagle': 1, u'startup': 1, u'direct': 2, u'seat': 1, u'administrator': 1, u'cost': 1, u'design': 1, u'portfolio': 1, u'Jenkins': 1, u'operation': 1, u'dissertation': 1, u'educate': 4, u'Educated': 2, u'genetics': 1, u'attend': 11, u'lead': 1, u'matter': 1, u'profit': 1, u'endowment': 1, u'section': 3, u'please': 1, u'fellows': 1, u'spokesman': 1, u'health': 1, u'conduct': 1, u'study2': 1, u'anne': 1, u'donate': 2, u'issue': 1, u'body': 1, u'specialist': 1, u'School': 8, u'run': 1, u'degree': 1, u'host': 1, u'become': 1, u'dividend': 1, u'teach': 6, u'come': 1, u'official': 2, u'advance': 1, u'training': 1, u'Dean': 1, u'forum': 1, u'receive': 14, u'route': 1, u'year': 1, u'job': 1, u'graduation': 3, u'turn': 2, u'survey': 1, u'banker': 1, u'contribution': 1, u'honor': 1, u'dine': 1, u'hold': 1, u'student': 10, u'campaign': 1, u'researcher': 4, u'hometown': 1, u'end': 1, u'sign': 1, u'commitment': 1, u'administer': 1, u'guard': 1, u'right': 1, u'alumnus': 6, u'poll': 1, u'open': 2, u'research': 1, u'stage': 1, u'engineer': 1, u'idea': 1, u'management': 1, u'dump': 1, u'paint': 1, u'transform': 1, u'commission': 1, u'live': 2, u'master': 2, u'laude': 1, u'way': 1, u'Agraduate': 1, u'sociology/anthropology': 1, u'draft': 2, u'hundred': 1, u'meeting': 1, u'friend': 1, u'head': 2, u'offer': 1, u'serve': 1, u'hurt': 1, u'train': 1, u'emeritus': 2, u'subsidiary': 1, u'line': 1, u'copy': 1, u'bill': 1, u'case': 1, u'hire': 2, u'join': 2, u'look': 1, u'pursue': 1, u'science': 1, u'work': 4, u'recruit': 2, u'podcasts': 1, u'career': 2, u'economic': 1, u'architect': 1, u'learn': 1, u'guru': 1, u'meet': 3, u'piece': 1, u'study': 13, u'say': 1, u'Conference': 1, u'compare': 1, u'give': 2, u'recognize': 1, u'describe': 1, u'accept': 1, u'fellow': 1, u'relieve': 1, u'provost': 1, u'classis': 1, u'stint': 1, u'examine': 1, u'hone': 1, u'mathematic': 1, u'develop': 1, u'author': 1, u'pay': 1, u'perkovic?s': 1, u'cope': 1, u'administration': 1, u'graduate': 38, u'member': 2, u'take': 1, u'corridor': 2, u'draw': 1, u'practice': 1, u'star': 1, u'clash': 1, u'Institute': 3, u'absorb': 1, u'price': 1, u'welcome': 2, u'stay': 1, u'director': 4, u'letter': 1, u'faculty': 2, u'Ph.D.': 1, u'president': 3, u'grow': 1, u'expand': 1, u'operate': 1, u'expert': 2, u'professor': 44, u'applicant': 1, u'cover': 1, u'psychologist': 1, u'spend': 1, u'mislead': 1, u'academic': 1, u'part': 1, u'roommates': 1, u'classmate': 1, u'enter': 1, u'position': 1, u'artist-in-residence': 1, u'assistance': 1, u'scholarship': 2}), u'http://dbpedia.org/resource/Stanford_University': defaultdict(None, {u'help': 3, u'founder': 1, u'violation': 1, u'percent': 1, u'executive': 1, u'suspend': 1, u'course': 2, u'manager': 2, u'mile': 1, u'file': 1, u'jury': 1, u'touch': 1, u'follow': 1, 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u'enrol': 1, u'change': 1, u'improve': 1, u'advance': 1, u'receive': 7, u'study': 9, u'job': 1, u'graduation': 1, u'keep': 1, u'turn': 1, u'connection': 1, u'leadership': 1, u'defeat': 1, u'commit': 1, u'concession': 1, u'replacement': 1, u'trainer': 1, u'major': 1, u'shopper': 1, u'vie': 1, u'win': 2, u'faculty': 1, u'period': 1, u'walk': 1, u'champ': 1, u'alumnus': 2, u'instal': 1, u'establish': 1, u'engineer': 1, u'take': 1, u'basketball': 1, u'raise': 1, u'Degree': 1, u'addition': 1, u'transfer': 1, u'create': 4, u'breed': 1, u'consider': 1, u'master': 1, u'way': 1, u'memory': 1, u'stage': 1, u'Women': 1, u'head': 1, u'enable': 1, u'relationship': 1, u'offer': 3, u'season': 1, u'musician': 2, u'serve': 3, u'landing': 1, u'part': 1, u'link': 1, u'mail': 1, u'http://www.prnewswire.com': 1, u'hold': 2, u'account': 1, u'join': 2, u'room': 2, u'coordinator': 2, u'recall': 1, u'official': 2, u'recruit': 2, u'distract': 1, u'Professors': 1, u'career': 1, u'while': 1, u'College': 1, u'visit': 1, u'briefing': 1, u'aid': 1, u'designate': 1, u'history': 1, u'director-logistics': 1, u'give': 1, u'resident': 1, u'partnership': 1, u'headquarters': 1, u'player': 2, u'collaborate': 1, u'have': 1, u'return': 1, u'sneak': 1, u'pit': 1, u'campus': 2, u'native': 1, u'sell': 2, u'develop': 1, u'personnel': 1, u'travel': 1, u'shorten': 1, u'feature': 1, u'graduate': 23, u'member': 3, u'dean': 1, u'complex': 1, u'chairman': 1, u'department': 1, u'performance': 1, u'fill': 1, u'week': 1, u'administrator': 3, u'acquire': 1, u'star': 2, u'attend': 5, u'Institute': 2, u'collaboration': 1, u'chart': 1, u'stay': 1, u'director': 19, u'award': 2, u'student': 6, u'retain': 1, u'score': 1, u'tradition': 2, u'expand': 1, u'building': 2, u'lawn': 1, u'band': 1, u'professor': 12, u'sale': 1, u'switch': 2, u'contact': 1, u'enter': 1, u'hear': 1, u'artist-in-residence': 1, u'spend': 3, u'womensbasketball': 1})}\n"
       ]
      }
     ],
     "prompt_number": 54
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Plot the above data for each university\n",
      "* Scroll down in the output area to see the graphs"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "for ab in actorToLabels:\n",
      "    columns = actorToLabels[ab].keys()\n",
      "    row = []\n",
      "    names = []\n",
      "    for x in columns:\n",
      "        row.append(actorToLabels[ab][x])\n",
      "\n",
      "    d = {ab[28:] : row}\n",
      "    df2 = pd.DataFrame(d, index=columns)\n",
      "    s = df2.sort(ab[28:], ascending=False)\n",
      "    df2.plot(kind='area')\n",
      "    #print s[ab[28:]][:5]\n",
      "    "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Board       110\n",
        "member       41\n",
        "seat         30\n",
        "elect        14\n",
        "Chairman     13\n",
        "Name: Texas_Tech_University_System, dtype: int64\n",
        "graduate     20\n",
        "director     18\n",
        "student      12\n",
        "president    12\n",
        "game         10\n",
        "Name: Pennsylvania_State_University, dtype: int64"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "professor    44\n",
        "graduate     38\n",
        "receive      14\n",
        "study        13\n",
        "attend       11\n",
        "Name: Harvard_University, dtype: int64"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "professor    40\n",
        "graduate     16\n",
        "director     12\n",
        "team         11\n",
        "student      11\n",
        "Name: Stanford_University, dtype: int64"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "University    33\n",
        "professor     14\n",
        "study          9\n",
        "director       9\n",
        "graduate       8\n",
        "Name: University_of_Southern_California, dtype: int64"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "graduate    10\n",
        "fan          7\n",
        "work         6\n",
        "director     5\n",
        "position     5\n",
        "Name: Auburn_University, dtype: int64"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "graduate     23\n",
        "professor    14\n",
        "student      11\n",
        "director      9\n",
        "receive       6\n",
        "Name: Purdue_University, dtype: int64"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "University    59\n",
        "professor     41\n",
        "graduate      35\n",
        "receive       20\n",
        "study         17\n",
        "Name: University_of_Michigan, dtype: int64"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "graduate     23\n",
        "director     19\n",
        "professor    12\n",
        "study         9\n",
        "receive       7\n",
        "Name: Michigan_State_University, dtype: int64"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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hGazU05cLzbKpTDa3nr5dxZdRU9JXONe8O9FK+lRjDsxz8EckJ3Ip3vJx3URF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\nRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109c97750>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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rbaVyjwCwu7IgFpBpaUd3ad2uKMH9Twbjym1ZRZTGnoiMuRyEN+WMeqsF83OP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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a2dbad0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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nHAMABYGJNKfN6cs4fzrNANIfXjD3Hsm/2SwxKA2U0Ay9fLXP7z6LqvNdurSt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\nSUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1099fa110>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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cYuQRG7tEpj7RgrKdQANG5QpGaTuposgiueC0rbbdKpRIO2Cjps0rmbJd228h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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a2e6290>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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BXQ0i1xC9/rSehk2wWksHsJcmgQEwKeXWTuVkNvF08QKLNvAmY5WyYoxJGU5m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\npEk/VtRFmvSS+Nrk6SKpN/qgQYNQV1c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       "text": [
        "<matplotlib.figure.Figure at 0x109c8de10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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VBmXjtMOJzs5TNklphE9bdH6dODcQ+Gc5GGMYyXRerLanWJPJrsGlv+QsMsKn\n7ThiB6naRr6C0D3ScEs7eJpgRWT157ed0t60YwJPvdraJDnykIUjnqoxVNqWoc1Pnn0vNnm0azKP\n+zcPVnR/YTGUWg1nukc1ZAo+/u3ZHVWd89CLu/H6cCbxPZuNvgiKcY7/8xvzBtTtRqGYU51zYMRi\naa99aQiv7GnP9+GywF41+aPvee49jOfKd0TyWdxgODlOIJ9wuzGtvWzdPY11W4di1/2/lrYjjw4E\n928exOBkXjluOkHbkSn4PLTm9wr3yH++MYZ124ZbWgbXD7JwCXTBhnHUFhPi0Zf3xF70lsEpPFas\nQOX8t2JlVikf3cMv7cHOibz193IMThbw8IvxCl2KdVuH8dt3JsofmIBG+LTDpeBFOWZdhgdf3NMR\nGyO4frFZOw4yls553bYhPPtuY95HrfglFpA8/OIQ3hnLlb9ImTjtLjhhTm0AKGjG1X+/PY5fGnTJ\nIy8PxdqnXE7ZPfLIS3uwdbfaMQ5O5vFIlW1HplCMrJHvWQ1tp7RzLsNkvrXDwYLPJPcIj7lH8lKM\nqAnP5zHXxkjGqziVq7hfKfdIwWc1uU+C86sbm+U8hrFs5wzVo0VQqsXdCV4nkQuccfsOSXmPNWz3\npFoJ3Mxmt0XeZ2FsdSmU1Kzab7JrMrK01fvkLPLxLG3HZGnnpIRU0f14TZOecp73vcLSznqs5XGp\n8gvliAtWLHyw9ZI+LwbQS4xl3XDGu5z/NrS0LQ2ScV6MT00up4IX7J9YTU9f8BjGKhjWJqERPm3x\n3vSQsE5YrBJORMKutAt++yptj0db5sWir6R8IaUIQ/54PJ+2GO12OQh92rqlnfPMhonPzXVA1Be5\nuRc8Hi6TF+Q9Hz5PvgjHZTzshPYKn3bO9WNCajaKb4zHo0SEJW7Td4xzZAvqM4zlvIpfkEggn7eY\nhEI+mRrkJMKkqukgPcY7KpJBTCiHytqvT2hYM5AjIWztoeDzts0C6PmRnaynaeWovu7qKwflpeCh\npa21l5zLjBEljHNkDAZPuCJS+s5jHDntWNG2bW6rcoT6xYkMtGpoO6Wd9+KuhWaTlRqCydIul1yf\nccQsidGMG16nnP9WHGfbZEEoWn3YVg2ifNUobZ9xTDQoK38jfNpCV4TKOnSTtL9/JC+9+5zlPXuM\n11QHGonHuNHSrqbucul/2VXS19cXrhiV00zoCjrr2ZQ2YkZVUM7i/Xg0kuZQ9QEQtZ2k8fPhyk2e\nLEyx7ZTgFl5HAAAgAElEQVR2wWctj6tVKpTBhZD3WTHcKH6uOFa3jibyfsX7FZbbZGEqH5SvJku7\neG41FY/x6pR8q2E8iDAoaJZ2J8S/e5J/1jbi8hmvyDfcCmQ9J0dZibpb7Whab2vhUnA41hDcnOvH\n2q6tfQKSe6T4WdR1Xcbi3KRtITQanGRhim2ptFsdVyu/0MDSVn8XwxuTpS0Ug947Txf8sAcv578V\n17X5XsVEbS1uJHHuRBU+aga7f7VWGuHTjlvawj3S/pa27J+1uUD8EpOUrcZnzOgeCRVhBeW2bTc2\nMDAQyIRDcVPqSjvv8VhYbtg+DW2HaT5tYdDo8hdteyJhwITsfvUSGBBtqLSDIUkrrSHZtcERz0Ug\nhjcmy1lYx3qlyHosNgNuo7gC2Gppi7jdWqysbNFPN1zFbt+M1zZr3mwY58oQtF7LnZuB/O5t5WWM\n15yOtFHIFqSstEV8djWdjakNmtqGrrQLPrOelzX6tMX9gmOmLB2MaNsj08nmd4RsHEOZK6HtlLaY\n9GvlMDzrqrt4x1KzCp+24VzRwPTJCzdcLMHL+m9FZ2B7oWKFnH6PahAKf7RKpd0o11UjfNo87PzE\nxK3ZcmpHZKVk67w5UHEYabOxbakljIRK3oEt5C/wacefWx+hF/y4oRS2zwosbTEK1Y8V7W4kYfhr\nJe+2FO2ntFnrlXbOY0qFMVUGoYB1RGXKeWZFX4nSC90jFitqVFjaNTTYUGlX4R7hvLPyeIiut6CN\nfmqRW7OQ5Wzze7bzyEdJiiSVf6SotCuaiOTy33ob9GMZQuKWNo+NhqP2aVLa6uewrJ6utIMDRxNG\nUokAA873Ep+2mAxoZWaznMuUl637xUSFNLlHop5cLX+0pJpX4NNGeKwJscClJku7WM5KF8twzsGK\nvsVGzDk0wqctLG0h+zBUsgMmU2UFZEtMxnkyS60ZyOWXq8tYQveI3NYGBgaKbUN9dr1aej6PzTuJ\n9mmy9IUrRZxiGxXki2076UIzv4J3W4q2U9qsGFs73sKVd/niwhOBrqREXgUW6+vNPbnPAoXX5VTm\nTxVWvq1BjtbBpy3OHctVZi2IonQ5nRNBIhpfNDlce6hks1DdC/F6wHlx7qdNRz7KMnap/GPhKLGS\ndhChK1/XYEWbUijbLG2TT1u0Z3GKUMp6mxWWd1KlHWUT3Gss7UAxVDNBVm/0CqXrWTH7a5yI9OI+\ns4zro8sJnsv1K/dpFyz7NE3kxQRJLT7t4NxK464LHis+g9OQUVBj4rRVN5N4J61evFUJvmKpxiua\naOytjrSyITcheTJQKLqK5hWkR5Mfs6+vT1HaTniMKgu/2LHJ34v2aaoDujtGjAr0Ea+oR+MJo0eU\nDnlvWFwjBJzUX1QPdB+WvmqpwOxKW5wrK/6pQqC0AaciS1u803Jx2vlafNpVrogUq0CdKs5pNUI6\nIidF3vBu2hXFvWAorqgbSbfyajS2iUgRJlfZRGREzM1RDCmUv9VFIToLZXWp2AS4jE+b8WhUEFtp\nmWA1sUykAjiSDPraUGkH/0Zb6B7R/dF6wxAz9qbmInpwuXeezvtw4ARLbr3yPm0x6WKr1/WIgshr\nk3PlKIjMh051sd2V0iifNhB1sqKxmYbG7YbinjNNeBefpV0tbdtIYbogFjhVV249Tlssk+fFBVRA\n3F0pbiEbSqK+mwwe4ZZ0oK7+NU1wyteqljCbIA9ytFRLGyrtQHSNSkxUCfoLjblHSqSdFP5SuaLI\nQfi2pekyoYVoscqjXBrJG6y4dqXx8GEj4611XVVDJEd1nqGWEUqzUJVe/PdmJexPimdR2sKlV4nS\nLmlp+9FoN3KPqOeLc9Q8LvH2Gd5PHFbccFdY0rGRdo05bOSVl3vFRKQQXCtTgOovIzYR6as9skzO\njb/QkYwb1qy8x2qO0xaKv5IOwIZQ+JVOhAj3CEd1sd2VUm+ftmmGPrKy2t89Iispc2gpC7fbakfk\ncslVzK2m3lmuIcdpMyBsWzH3CFcTSgFR+zR1GrKP3GfRhsG6bg73cE1oNMnx4B2/uEZY2QBamlNb\nV9q6XMMX7sSFnnV9JbMcUHT1FD+WixHmkgxsL7Qeu8ELC7vSSiMnyaomtrtVyFvGCQWRDyehOss9\nYnpFBY9b89+0A8pEpKRNRX2rxK1TiaUNoOh4jB/DOC9GbKmWdtA+DZa29LfP1R2PZKpZc2FCPi2J\n/ZBIad9xxx24/vrrsXLlSuzatSvJJYy4ftTQpg1ZuJqF7nbQfYriZZmWoYqJDvn70awbvHgniBEu\n5b9VX6jJGuBhz1/LQpdICVfWgKIK3JhRUL192i6LfJ2eprTbNcmSjGxdc8St7YIfRPN0gqXNDXW6\n2glU3addylKWPzuOoyho0T5Nlr6QsbC0RVlj8d/hMySTf5gnHMmiR2ZUfQaAyy+/HADwhz/8AY88\n8gguu+yyJJeJUShmz+O8tnC2WtGHPab4T8CstHOGCaKxrAefA90IevrZpe5dtBA5zBU764rGWtsk\nlLh2lxNMbM7et3RVkBVdpbHdrUTP4QzYk3m1I3IJxcitZ0a0n1LBY3DgtK3SNvnkxXoF/fdK0Dst\nWely7f/gnjzcPFc2wkztU78OELQPWwcjzu1ygva4X093Vc+ihCA22z0yc+ZMzJiRSO8bKUiWditX\neumKWG8YnkEhCIIl8GrvLCJhOA9ecin/rSdZiKZ5jqmCH/1eQ4MV16407lpOotWInNr19mmLzg+I\nGplovJ3g05ZfrWNYlCV3PO0YQaL6tIO/p8PQ18rcOrIMZHXQ19enGFZCoSvKUNIl8g5Ppvap389x\nAveTOMbkKwcCpS3Cb6uh3Gi6HDUp7aeeegpnnHFG2eMGJ/IYt8Rd7xjPhbO0gaUdiDrJw/iMY/0r\nw3js5SE89nKFm4ciaMRvjWaj68R61vh9gGDoZZuIlK8hokc4yo8gyi2qmC746BI+PIvueWVPJmaZ\nZF1fkQeThoLTUsV7ZywXym/9K8NheeTc3bXEaeu7h786lKlJ6XDOjTuSqwsYgr9dw6y/SVa2sprw\nGcerQ/XfEV1+97q1CBQ7USc+0VYtpZ4x6W+AqmTlVKddjtn/7DGO14ft19TfkRzRESpX6Xcxaoej\nbnhgap/hPcK/HEzmPamDMbtLHTiYKthdhWNZ17iBMNc6F0Btn9v3TFuvCSR0jwDAxo0bceihh+KD\nH/xgyeMGBgbwyMRcLDjgfTjWfxNAZFUNDAzgrjdn4oxjPoSLTpqH//7dRnD2PqCY2Fz4OeXjS33+\nxX/8Bne9ORMzurrAOMfcfX38zUdyZc/35h+Dn2x8D5d/cBQAwJjqwND3dvTY/gAAzhh+++xGLFt8\navj7jsF9AcwAk8o/XTigeF2GV954GwPTr6Gvr89YnknPgYNeAEC+UMDAwIDy+1vTXUDxd9f3Y78D\nwC2vzsaPzz0Kr295Nrx+/ysjWL3xLVyxIJCHaFSMs7BTEe9jV74bXY4DjzGMvrUNF57+GWRdH4wz\nAE4YhVHt+/nPXw/gO9t68cilJ2LmjC4MDAzge6+8D9/7849h97ZNobwrvd7AwAD25B3c8+4sPPTV\nE5TfgyXMwQBZPOt0Ng+gK1SAAwMD+O72XvzruUfj8P1nxq6//JGtWL4gizM/f6r1/juyXVgzOAsP\nXHJ81fIo9Vm1tINFWfLvWZeBiSgin+N9+1R/v18X38cv/uoE7NfTrfye9xj+4eGt+F+LMvjsaer5\nx/zxJ7H80W341h9NW6+vWMJFdTjwu+fA2UyguIu6fPwLO6fw7V9tx9cXZsPrBc8XKXl53sNjB0KH\nF48Jo0s4B5P2o1TaJ4/rF/l+E3mv2Ns4YacgjmdsVrFMDL/ZuBlHLPmMUb7ff+x5DBUc/Piijyu/\n+3xWWOY9Q8MAFijt8/GpeTjvkNjjhSRS2q+//jpeeukl/NVf/VXZY/v6+nDvz1/G6Ps89H2+L/bb\nHe++GK5+PO6Ek9D11vbQ9/Wpz5yKGV2Ocrx+vsyCo47FjHdej1wrPe9DX98pZc//+Qu7MV3ww8+3\nvPp75TihpMTvt61+AQDgdHXhhJNOVq736LpXgOkpMB4d/7/vC47ncHDwvEMB9pa1PLunCnBefxHg\nQPeMfdDX98fK795ro8CO4HzH6VKuIf7+9tbnMSU9DwAMZzyw7n1DeQjroaurK8xm1tfXh7veexF+\nrgCfc+zT1YUFRx0bysBxugDOw06s3PvQP5/0iU8B217AdMHHzBlB2W/avjnMsVzt9fr6+vCHwUnk\n33w19rvHOLq6usAYDy3t7n32AXw/rB99fX3wtj0fjhzk833G4XMHR5+ovl/9/r95awy5d99MXH7b\nZ90OLGjpD4K5jS4AUaa/au93yqc+Db5tC6byPvbr6VZ+D1xmTvDOtPPfGcvBZ6XbpxyOKjqgBUcd\ni663Xy+2b67VzwJ8Z4byndPVFZrRcnsaGBiwjMQdnHrqqUV5MXR1BWNSuf2G7ZMZXHKOEwp+POeh\nu1h/gKA+iONv2r4ZQNB2Dj3iKOPzA8DMAz4AjOdiv/tbnw+/m7P//sXnj9rn/3toq+HZIhK5R269\n9Va89tpruP766/GTn/yk7PHTBd+6IWzG80OfrzwETJKYaDjjKrW90hVLo1lX8XPaQnwEYjRqmogU\nCzfka4QLAVA+Tju4nnkICUTpIm2/F4o+O33V4ljOU5Zvy7Giw5noWF1m4n45j4XDuqTzDcJ3Lrtj\nPMYxnHET+7RHi5O8sSGswc2kR90I42DMEHcurLPJMj7LkYzXkKRNuntED1HLej44eNEKT3Z/0b5M\nQ3zxjkzzHeF7LNE+XcXnHPyv1l31+JGsF3PzKPm0NZ+2ySMkt0dXCq2V/f+inZvajhynPZb1wvhv\n3QUVnsuj3PYmxrJuTEb6blTio9w+y80xJbK0V61aVdXxOY9ZJ68KXpSYJe/5oaC6HAdTeR/vn1l5\nEUczbsyvVQljWc+aShKINxhT3Kl+T2WywZD7wIZ8rEkXjObc8P6m30UlGdEU0WjWVRq3eATG1R3W\nlcaGaPVjoLSLZUyopIQiEDH4BT/oYPSyVoMoX6bgY5YUAeNKE5HyswKRP1TIyrTCUzSccitzR7Iu\nOA86gG7J6qwVXaeYkhZxXnnmSBPiGU0dk3hH03kferiTqC+l2qdcR8Rfw1r7lGU2lnEReDR4OK8l\nH6z7tG3zIB7j2KdbXgzGFUNEpG8wSUy+4tB0ZACKfUbft0/wmUn1qVSOpIm8HwsvFXmIfK0tye2z\nnLHZlMU1rs+tvbLHeFhB5MmuJImJRnOeqlArtECCOGrzLLQoo0yp2V/Zqo5yiEhK22WKb07HMygb\nmfGiZanfQzBlUUTjOS9aPsu5VPFUxeRqFoWclY0hOifJ5KHwnYv7TUuKMWmcthil6daJYmkXW5+Q\nm3hEcY5pBxLRwZTbUkrIp95JtHTp6hPYOTdKH5zU0p4qvg9TpynekWkfRGFd2p5ZDu0Dojo6lo3a\np269hoabZjQI9Dht00SiIy12EzLRw4dF/eZcbTt6OxrJRh2MXFZ58ZvPS3fqmYIf7bxeJIj+ijp3\nUU/HJd1VLrqpKUpbXhIa+43zMCm9vlJtvMqVd0GliD5XahFOaDtE6/VBH36Hr82JW+GisjgIrD3G\nuTKTXu6FeCUqEqAqGH3lJSBZiJoimizuBh/4atVrypa2PuIQlVJ+NyK2u1qEchAdSqi0a8joOG5R\nmqaRE9M65VLWtFBWI2XKNlqMWa9nutrY0F2LgACCTSzEUW7CEEbR4ZmG+OIdmRS6kImtfYpUxAJR\nzrFc1D4dx7BqGKrrTEZvCSb3huweEaN2xtVVyHL7LDW6VjoYxwmTxMkjuKDc9vqR81hMB00XfOV8\n8ftk3g+NoXLux6YobY+Zt0US+yYKhZ5xmfJ2qk1MpAuw0hVLU5L/zmc8VkFEEL0gfA88roSFdS8q\nZaagVuCyPu0y7hHZV22K3xUKUFdEQulOF/wwN3Z0Tb94P7tCl4d5XU4yJSV856PF/4XcR7NeDT7t\noHy6RZj3WCwnhe5WErI0+bSFsirnHhm3WPq14GmKAYgbNOH7cJKnmhXty6R4xDsaNih0YRDY2ueU\nVueF/OXOWbe0xbuwhdDJ7bivr88a5y2UoBi1c6hZO+X2KY9QfE3m43IHAynfjx+towjKXcKvL02C\nC8akPETycwkjKOP6ZY3NhittMTFmKoiwjuQdzCV9WLWvU/fNdTmVbS2VkRSa3pMCwQuWg+jlfkDP\nGCevlix4LFaBy/kfPel306uTlYMpfldYTbr1KucAFv4+/ZpitaWMqJSyL96BY7WISqF3KOL/WvLM\niGvobgzXMukqfy6lmMMOpsySfVHn6pmuNuZ64nE/p6zEk67wFM9mev7wHZkUes5uhQNRKmKBeBpZ\nwekTqNOGiV9ZCqYl6jqO40hby0kLaiTZKe1Tams+54oy1d+nKGuwEjWiVJx2sN2Zqvv0YAnx6oTx\nN5HzjO1epuFKWwwHbEpbuBEAIdxoCFttelZ9iFypRSg6jcm8F7wUTXF1aUH0Ya9vsHTDwPtiTx48\no7T8uMwekbIPzOQekTshk6Uthq66BSCecargBxVQesZw1jrvx5S2kKk+ojD5OsuhK4KR0E1S2s9f\nCtGZ6n7pvM/DxiH8l7IfH4gsRdNE3FgZF4DANvFbC/KqWIGumMP3wZPveSlGCSZL2zZik8+ztU+9\nboh6PB0zOKScIOH2d9K5UvXXfdq2EbSyGKx4iLJ6VGqf+ubDocgddX4NiIyAgmZpl5o09DiPzc2N\nZD0tKqbodimWZfeUGzMadRqutKcKPrq7HOPkVfBb9H3O89UJsip9nboAHTgVTRC5jKHbKYZv+XFL\nG9AsAOkx9BCeaGulYEGEXoHL5a+Wh/WmI1XLOh7uZZsY8xhHtxP05K7PtI5EhBp5yvdApNCVzsFJ\npqR0RTCSDSpoLXlmMm5g+eiKp+BL7hGoK/REQxGyMvnnRRmnynRO+aLlVc8c455WB/UICECdsEua\nAGvU0sEDpS1t0RZs7XNEcwGIkupuHLnuigRYtolf3YAxeRDkOR551K6E82rtU6A0Ix4va1ZpB9HD\n2fzPhaLrt7vLUUbpYzlPCVcUuk+0z52TeZTT2k1R2g7McdfjWa+Y9CZQZjlP3Yiz2mxyJoVYiUXo\nFXvPkYyrLKUP0ZQUl/6IZwQMT0HBZ0EllC5Xbo/Igs8UC1FHjgk2xe+KZE5ypQsyA3J0OQ6GM66S\n40WUCTBbnFHCd6kw3OzrLMd4Th0CjxWvUcm+mTZE2KBeVwpeJEfGueLHFyKMQk3j9UYopEyZbJPi\nfdQz86GnvXg9AgKIysyRPNXsWAk/snhH4waFHk0gm595OOOp4XrF//VRoezCEr5meeJX06MhwYrR\n0pa2PGrPG5Rz4L60W9o68uYJatsx14/pgo9uJx4FN5ZVwx4Z50r7fHc813pLeywXKC1TYiJhnXQX\nFXrO85UHKrewQSe2yKFEzy0Qk2+cB746o8+Zq8Pv0EeK0jHcBZ8H50nFKpfkSe8EysWn2ixt+TnC\n8CcEsey2TR50Cwkw5+7WY7srZTr0nUdRGxy17SguyhVT2lromN7YfBY9g8laEtZnvszISGx7Vc+d\nlgL3SFRaPQICiMrMwRP7tKe0qCkZeeJaJ/S/WgyicWktARAZH4qL1FHdFmLndJscdXeIrcZ4hlG7\nrJxNi94ArV0aLm7aRlC+n860FNonu9j0eupztX3uGI/nKtFpuNIemQ6UloO4f3k0GzRaxwncGHrl\nqTb2NSZAHvd16ojJN58Hlr9uhQJxJSWrAz0OU/5Y8JgSOgQEMcIlfdr6TvByXeI89ox5zQITHZ18\nnJgMFfMEumUpomz0Dka+jr5RaxIlpW+qKmTqs/L7ZtoQ5ZrQOnhXConjomEUG5GYC7DtAQhEdbVc\n+JUXWtr1c4/oHTNHfN9SOd44afSI8NuanjHcMMJwbdHJ2nLei1TEOvENQ6LViWIKwma9yzo18Gkb\nD5NcrdGo3TUklwLUtuYb5hFkhAvN1D5N/vWpfBTaJ4/SdR3IGFfa587JQust7dGcG1iLDjBpWFrN\nisOSqYIfU0DVVEY9oB9QF4fYmJZSnY4ZltICRSUlXSdcxcpNu9xE46+M5wc+LG743YLck+vuj5w+\nSWqI3xWTUnIDEb2+iLvWrTYRZTOWdWPlE3MR+j55SZRUtC+l6o5hvLJUnTpiWAnEh/iBz1e1qoTo\nRNSNiFgwKW1R90qFX6kha/UL+TPNq+h+a3mPyKRKW5TftG1duC2YoT0IV4ZtzYEecSPekyJKHlnz\nclissEpjPmztHjb3iHgmedSujxIFanpbwOZM5og6mIznK21QDwcWiOgTDtXloxuijKvtc6iMZwBo\nhnskU1RaPD5ZM5Z1w5cxno0rk2qW5+oB/UBlFqGc6nQs5wWNw/DuxKSNvqOIbqXIdSlbYMbY8XI+\nbXEJx1GtrqmCH3th+iSaaMDyxK8c0D+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86tWrsWPHDpx11lklj1+0aBGuvfZafOQjH8Hs\n2bPD801yruS+7U6pelGqbh133HG46aabcMghh+Cyyy5rRdETM3v2bOszA7Dmoa+mzrVDLntbuy71\n7Pp7TVrHq6kfepvjnCvyk9tuO9KSZewrVqzATTfd1OzbEgTRQKhdN4fOG2sSBEGkGEoYRRAE0UGQ\npU0QBNFBkNImCILoIEhpEwRBdBCktAmCIDoIUtoEQRAdBCltgiCIDuL/AzwE40iKPQuTAAAAAElF\nTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a2bda90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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wYUIxNkcQRBkZSKlB3z/2jhN2Ab4UFTGyotsqy1g7htWyGBDTefxOZDJ9BjXc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\nMYygoE8QBDGM+P/2v2kNriN7xQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a2a7590>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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hHjLk2AnbYTKgdoKZwzOUVL2ylCIyonTQeo42tsPvr96H5jwG62lJAY4otq7n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\ngjPIsRMEQXDG/wcO0JY7O0GGKQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109c8d5d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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V9hRj3PVSefrTBEXuPRcva6MiiSkcPp96edMcpux4+bpK8rOSu4U0zKSt566d\n0+ENRJdxOBCj8gMEkR7joy0F7j0bc567oPFKy/O4j9wT4wIyRe49Ey9royKJyApYPH2BZJnsePm6\nSvr5uZjIPVueu9PiZMZ9SXMniAyE5EQoRK69Z5Pk3KXcae48aQ1VZ/saM3hkcu75S6M/gg0HOrCn\nJSj82F3VRluCUYRd1sBtDUYRiuXqoVYs4RjTNXcK3LPjZc2dmW7vudLc5aSkHI5gVEFbKGbreNoN\nh4Oce14z5+978PDfd2PWWzuPdFNSeGztPrz95SFX+/76/a/xN5f7djfhGNNDdg6SZnoy3FC3BTx3\na6iaq0L+aUsDfvOP/bb2TcjsnJx7PhOKMTCem8kSXdVGAxEFbfGFox3vG5XhDxdI5C4zMJ54QqGV\n9jLjZc3dPKFIRL+01NxNg/gdYQUdNvuazBIyIjn3PEbLU83HyTMRhSHoMtcqInPXkk53E5YTkbsE\ncR2GKDxU357Il8nVpWAMIBjnCEQVRGz2l5jCAa62VRYUiZBzzwHaHTwX0967qo1GZYbOqLvoO6ow\nhAtFc5cZ4FM7tCSJSy/zKp7W3LupnrtxQJUDCEZlRG066li8RgJp7nmO9nsynn9ar8w4OiPuZJmY\nwl1H/d1NRGZJA6kUufdczGmJuao1lJQKyYHOKEPUZlChPe1zXkDO/YUXXsCDDz6IuXPnYv369bk+\nXV6QvAq62GN3VRtVGEenSwctM46wqJJ1OSYic70Tq0uXHdn25Dve1txNr3NWWyY5zz0sM9uOWpdl\nIG6srljIUTIgSRJmzZqFQYMG5fpUeYOWauWT1AiyuKToCLcogczhOp1RYRwhuTAi4KjhJiRJQIwW\nye65JFf8zV1tmaTyA2rft+vc5ULNc883aSLXGGoA2X4ss0tXtVHOOSIuHbTCOaKFMqCqMCS6tETr\nqGbB05o7jBF1DmvLmDT3qMJsX3dGh14wM1RLS0sxf/58PPXUU2hoaMj16RyzvzXsOpI90Ga9rxYZ\nSBIQzbNIl3H3NxwtGikEQibpSVSHIQqP1AWyu3a8nYesJyeaI/eYwm1n5hgzZEQ9ZeZclrnhhhsA\nAPv27cPSpUsxe/Zsy89VVVXpd0NNz+qO14+t3YuRvdvxnaNlx/svbSrHj785CEe37Eh6n2m1mSEh\nojCh7TVqfW72Z5yjMxxxZW/G+yKq8G79fdy+PtTcG9rlzRnDZ59vwskTv5837cu311u3bsXPf/7z\nvGmPyNdLsFrnAAAgAElEQVSfb9wExkqh9kmOfV/vQ1XnLtfH+8XfvsJFsc9x189vTnqf8WOhIcsy\nioqKwLi9/rKzuRgcpQCApqZmVFXV2W5POiTeTZpJbW0tXn/9ddx9990p761duxZjx47tjmakMP21\nbRg/fCBmnnuC432v+/M2TDptEKZ/e6i+TWEck/53MwCgl0/C/Ev/HcPLy4S11+iU3fCjRZvQt6QI\nf7l+tON9L/rjJhzdpxf+NP0M1+fvLu742w58FY+wevkkPHfJqTjt2L5HuFX5S1evq3xm1+Eg7lxZ\ngxjjKPYBV40ZiuvPGubqWDLjqPjfzbj9lCAmX/AfSe8Zr7m+JT7ITPUHlTecmfW4r22qx/9taoTM\nOL5zQn/8+qIRttqzceNGTJgwwfK9nEfu8+bNQ2trK/r06YMbb7wx16dzTERhONRpr/5Dyr4yT8kZ\n15Z344bPiKQrHVCJLybgRn/mXH3EFLV4b64xS0+iJoZ4Fa86diC5nj9H11Ihg/H+/q3R3049j0mW\nYYzbPpeq7qqfFTWgmnPnftddd+X6FF1CZhyHAu6ce0xh6IyZnTuHJCV0vkgepQ5qDs9NtoCmWRdK\nSmHM5MwpW6bnYl5mryu+U+vvgWjqXJHkVEi1n9nW3HliXoaowf8eP4lJYRxtYXfOXWbpI3cAgATX\nOeXp6Eo+subw3Fw8+r4FkvlkHkC1O1Owp9KT8ty74jy1yP2TTV9YnCd5EhNz4KxlJTHVSlTOQo93\n7upMMpd53xzojJicu8wgSYlC4kGXx84FEYXBJ7mLXLQsGRFpZN1BkgwjFU6WDyEeU+DeJVlG6++d\nipTynrFraKs/STavPZnxROQuKIDq8c5d6ULeN+McQdMPZ44Qg4JrsXRFG43KHD5JclW/IprHxdCs\nMH+/QsnPP1J4WXM354x05RrWKqoec9xJKe8Zj6swVZ71QQ2qsmG8PEmWEYA2SOg275txpBTSisgJ\nWUYtHpQ/TkX7nj4Xkax6Y8hdXQ7RMFO4FiFZpseSNKDKu3YNt4VU595hUfraeBNRuDo7H1Lq+I8V\nCmMGWYace5eJKeqjE3fh4LUfwFwC1+g0OXdXIldhHBtrOyzf64o2qt14JMQXs3Cyr8LgkyTXUc/u\n5iCaO6PudnaBuZ2iZwrnkgNtYTR0RLr1nF7W3EVG7q1x5777YOqETPNx1b4m2ZZlEsch595lwjJT\nH50koN3hAhZaxG6WdIKG7Bjuso7L/rYw5q7Z63i/bGjShCRJjguAGVM83Vx8z//zAN7c1uR4P7eY\ndUs70VO+8OK/DuL/NuffbO5CRWHJxWW64tw74hVVQxbdx1x9Uguk7AQWRucuKg4h5y4BPklCe8iZ\nc9ecujnvOxRNrKjCkBrZ26EzqqTViLuijXbGHbrkol2hmPq91IvVee/whxU0uUw5dQNLVmVs6Z75\nQkdEQYfD67GreFlzVziELbmoOfeiPv1S3kt307DTX4wJADSgKoCwzCDFPfGhoDPJQIt8zfpYMKrA\neAM31zixQ0dYhsLFF1wz3nicO3f1e6n1cpx/p7Cs4FC3yjLGnGNeUJF7Z1RBRyR/sqwKHbPTlbvQ\nr7Qg0GosLaW/an3NxtN7kixDmnvXCRsGPxs6nDr3+IQg029szmt3ky2j6XpWDrgr2qjxxtPpcKBX\n+7zbSpcRmeuDUd1BUj/jicUQCoGQzBDo5hRaL2vuCmdJsgzvgvPUfhd/KJzyXsph4yWm7CxwE0vS\n3F03L4me7dzjP5TCORoDDp17TM0ZN6cthWNKkvbmJr+6PT6pSnSmjX6RSYDf4cQtLV9fkiRXqaNW\nE75yiXkl+nyrzpmJiMxcVyolUjFPTu7KQ1yn7jNS89zTHdbOdU8DqoLxRxUgPqnHqWTQGdOyR5J/\niJDMku68bjT3tnialdVF0RVtNBRj6o2HAwGHN46QrGiBiKvIXWG8W2eJmieuFNIyezLj3T7pysua\nO+M8yfN2xXlq/Zn7Ul2n+bBaX7Pz9K7kIHLPeW2ZfMYfScgUTuvL+MMxSFBXNjISjiU7dzcRY0c8\nc8dct6arhGQFjKvZQZ0WtTEy7htj4JxDkiRXzl3mHEo3OXfGzXkLhZUKKTOO1LiQcIv5p++K80yU\n8Eh9z3zT0PqanXE3Y/CRevW6o0dH7sbIuM1hKqTfsK9Rzw2lzFh1I8uobfFbtKkr2mg4/lTBOXes\n6RpvWk6jSm1qNefdM1NUVlKdYyHVllEY7/YnDS9r7oybUiG7YFvtd5EZSxlANUfu6ke5LeeucPGR\ne0E794jM8MGelqRtn+xvQ2vQXhQeiCT0cac1YAJRVabwSarT/OxgB5o7owiZjuMmS8Mfz5RozTAA\nGVUYfvfxAfz2w/1o9KdOeNlY24HGQPJ27SJTuHM9PywnZtBlu1gVxrF2Z7P+OhhV4IvPJ3B6E3VD\nVFFTXM3bCgGFaaWV3fdwzjlW1zQnbas5FMTuw9YrCHkdc0TtpKcfaAvji8aA/tr4u9gJGBizN2Ew\naYk+Gz/92p3NWcsUFLRz33GoE7/98EDStvn/PIh3dhy2tX9nTElEow47fzCiqDIF1JvMgo8OYM2u\n1pTI3U0n1TS6tlDqTUrTRnc0BfG3Lw/j3ZpmvFfTkvK5eR8ewLtfJXdw4yCd08hd1w2l7ANEDf4I\nnjX8Lp0xzblLjieLuSFmEbkXSraMlsHFuHttOBhjeOYf+5Oekn73r4N4NcPEKG9r7kjS3AMR+9fg\nG9WNWLShTn+tOdQiSUoJCK3kFHWuix3NPfNxzPzmH/vRlCUJpKCde4M/mjJgGYgq+KKh09b+wWjC\nuTuNsIMxptePCMsM/oiCpkA0RbJwMyEhFFM7eHuGi3Brg18tAsaBJovB4MPBGJpMi5AYIwinmSvG\naD1b5N4aikFmXI+Wg1FFn09w2GFWkhti8aJNSdsKRJbpjCrw+exrtVZoQYHxKelAe9j1ojSFjvkm\nmemJ2ExTIIrWuD2jSuLpVZKklDGxdF3dTiqkuVxwJsKy6ntaLYI/IwXv3JkphzmmcOxrTc1BtcIY\nvTpd/FnbV6vTEo4xHLJy7i4id+0isipOpGmj2xo69aeCQyaH2RlVIDOecmc33gid5t/r+9oY/W/w\nq+fVonRjWeR6fzc4d4UBpti9UBbI7ozfCCW4ryiqOS/N/pxzBCJKxlnYntbcTZdDwMEEsZagrPd1\nTV4E1HV5zdJmuivMTlqr4sC5a79jthnfBe3ctYhVc4KMqwNRHTYf/Y3Rq8/nrL6MMdskFFOd6eFg\nLEWHc+NTtKnImdqz13ADawkmf25PcwhA6p3dqDs7LhympYDZGCBqiN9UtElLWgTpZj6BG6y00EJZ\nZk917mpk6HYtAG0MRntKOhyMgdlMyfMiiikV0okE64/KesZbMJ7+DECdK2J6sk7nlO2kQxtz8bN9\nWltcqMFirM1IQTt3LWLVvmwgot5ZFW7PwRudlA+SoxmUwVjil2wOyeBQnbFZ23Ujy2gReYeFLKNp\no8bv5zelNW5tCEBCYmBWwzj5yGn+vXZjsFMMTUsrPRxMdvJu5hO4wUpzL5Q89/awrNfwcTqLWEO7\nuWpPSbsOB9Uyzxmcmrc19+T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       "text": [
        "<matplotlib.figure.Figure at 0x108a686d0>"
       ]
      }
     ],
     "prompt_number": 114
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}