Analyzing News Articles With Python (Part 3) - Sentiment Analysis.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analyzing News Articles With Python (Part 3)\n",
    "\n",
    "*By Andre Sealy (Updated 06/28/2020)*\n",
    "\n",
    "This is the third part of a multi-part series in analyzing news articles using Python. Part One involves using Python and the [All Sides](https://www.allsides.com/unbiased-balanced-news) website to extract the most important articles based on the stories that are interesting to us. Part Two involves collecting the most relevant portions of the article, namely the body and the authors, and organizing the articles based on the bias, according to All Sides. In this part, we will be conducting what is known as **sentiment analysis**.\n",
    "\n",
    "### Sentiment Analysis\n",
    "\n",
    "Sentiment Analysis is the process of computationally (at least, programming languages)  determining whether a piece of text is positive, negative, or neutral. It's also known as opinion mining, deriving the opinion or attitude of a writer.\n",
    "\n",
    "We've all received text messages or e-mails, where we are not sure the emotion the sender is trying to convey. Certain words may carry a specific connotation that is not clear to many different types of people. Sentiment Analysis can be considered an unbias way of analyzing text.\n",
    "\n",
    "Machine Learning practitioners utilize sentiment analysis in several different fields.\n",
    "\n",
    "* **Politics**: I suppose this project involves politics to some degree, but we can use sentiment analysis to keep track of the consistency between specific statements and actions at the government level.\n",
    "\n",
    "* **Finance**: As you are already aware, I am in the Finance industry. My personal experience using Sentiment Analysis in Finance consists of analyzing news articles related to specific publicly traded companies and predicting stock movements based on how the news impacted the underlying stock. This is just one example, but there are dozens of different examples of how sentiment analysis is used in Finance.\n",
    "\n",
    "* **Shopping (Online, Restaurants)**: Have you ever tried to purchase a product on Amazon? (You're human; of course, you have.) How do you know if you can trust the reviews? What about the reviews on a Yelp listing? Sentiment Analysis can help you determine whether or not a review is fake or made by a real person.\n",
    "\n",
    "In our case, we are using it to examine the bias of news articles. \n",
    "\n",
    "\n",
    "#### Importing the Modules\n",
    "\n",
    "Let's begin to load the necessary modules for the project, which includes the following:\n",
    "\n",
    "* numpy\n",
    "* pandas\n",
    "* matplotlib\n",
    "* time\n",
    "* os\n",
    "* re\n",
    "* **string**\n",
    "* **seaborn**\n",
    "* **nltk**\n",
    "\n",
    "We've used the majority of the modules in Part One and Two of this tutorial. I'm going to focus primarily on the modules in bold. The `string` module allows us to interact with string objects in python, which is important when conducting sentiment analysis. The module also comes with many different lists of common strings that we may want to eliminate from a body of the text.\n",
    "\n",
    "The `seaborn` module is similar to the `matplotlib` module, in that it is used for data visualization; however, `seaborn` has a wide variety of visual patterns and themes that can be used for prettifying graphs and charts.\n",
    "\n",
    "Finally, we will be using the `nltk` module, which stands for **Natural Language Toolkit** Natural Language processing allows humans to interact with computers in ways that allow machines to understand the everyday speech utilized by humans.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "#%% import pandas, time to impose rate limits, cloud library\n",
    "import numpy as np\n",
    "import time\n",
    "from google.cloud.language import types\n",
    "from google.cloud.language import enums\n",
    "from google.cloud import language\n",
    "import pandas as pd\n",
    "import os\n",
    "import re\n",
    "import string\n",
    "from nltk.corpus import stopwords\n",
    "from nltk.tokenize import RegexpTokenizer\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Google Application Credentials\n",
    "os.environ[\"GOOGLE_APPLICATION_CREDENTIALS\"] = \"Your Project API JSON Here\"\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We're going to be using the `news-corpus-df.csv` file that we created in Part Two. However, we're not going to open the file. We only want certain columns: **date**, **bias**, **text**, **headline**, and **source**. We only want the sources with at least more than 500 characters. Also, we're going to classify the bias of each article: 1 for Left-Learning articles; 3 for Right-Leaning articles, and 2 for the Center."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>bias</th>\n",
       "      <th>headline</th>\n",
       "      <th>text</th>\n",
       "      <th>text_len</th>\n",
       "      <th>source</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2020-04-24</td>\n",
       "      <td>2</td>\n",
       "      <td>b\"Inside Trump's proposal to suspend some lega...</td>\n",
       "      <td>WASHINGTON (Reuters) - President Donald Trump ...</td>\n",
       "      <td>5310</td>\n",
       "      <td>Reuters</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2020-04-24</td>\n",
       "      <td>1</td>\n",
       "      <td>b\"Trump's moves on immigration reveal his true...</td>\n",
       "      <td>Rafia Zakaria is the author of \" The Upstairs ...</td>\n",
       "      <td>8191</td>\n",
       "      <td>CNN - Editorial</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2020-04-24</td>\n",
       "      <td>3</td>\n",
       "      <td>b'Just imagine if Trump had stopped immigratio...</td>\n",
       "      <td>President Trump announced Monday night that he...</td>\n",
       "      <td>4247</td>\n",
       "      <td>Washington Examiner</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2020-04-21</td>\n",
       "      <td>1</td>\n",
       "      <td>b'Trump says he will issue order to suspend im...</td>\n",
       "      <td>Trump, who is running for reelection on his im...</td>\n",
       "      <td>5760</td>\n",
       "      <td>Washington Post</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2020-04-21</td>\n",
       "      <td>2</td>\n",
       "      <td>b'U.S. coronavirus response deepens divide as ...</td>\n",
       "      <td>ATLANTA (Reuters) - Governors of about half a ...</td>\n",
       "      <td>5319</td>\n",
       "      <td>Reuters</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         date  bias                                           headline  \\\n",
       "0  2020-04-24     2  b\"Inside Trump's proposal to suspend some lega...   \n",
       "1  2020-04-24     1  b\"Trump's moves on immigration reveal his true...   \n",
       "2  2020-04-24     3  b'Just imagine if Trump had stopped immigratio...   \n",
       "3  2020-04-21     1  b'Trump says he will issue order to suspend im...   \n",
       "4  2020-04-21     2  b'U.S. coronavirus response deepens divide as ...   \n",
       "\n",
       "                                                text  text_len  \\\n",
       "0  WASHINGTON (Reuters) - President Donald Trump ...      5310   \n",
       "1  Rafia Zakaria is the author of \" The Upstairs ...      8191   \n",
       "2  President Trump announced Monday night that he...      4247   \n",
       "3  Trump, who is running for reelection on his im...      5760   \n",
       "4  ATLANTA (Reuters) - Governors of about half a ...      5319   \n",
       "\n",
       "                source  \n",
       "0              Reuters  \n",
       "1      CNN - Editorial  \n",
       "2  Washington Examiner  \n",
       "3      Washington Post  \n",
       "4              Reuters  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "\n",
    "def read_data(filename):\n",
    "    # read in csv\n",
    "    df = pd.read_csv('news-corpus-df.csv')\n",
    "\n",
    "    # drop text under 500 words\n",
    "    df = df.drop(df[df.text_len < 500].index)\n",
    "\n",
    "    # limit df content to bias, text, headline, and source\n",
    "    df = df.loc[:, ['date', 'bias', 'headline', 'text', 'text_len',  'source']]\n",
    "\n",
    "    # cleaning the 'bias' column of unnecessary white space\n",
    "    df['bias'] = df['bias'].apply(lambda x: x.strip()) \n",
    "\n",
    "    # convert bias label to number\n",
    "    df['bias'] = df['bias'].replace({'Left': 1, 'Center': 2, 'Right': 3})\n",
    "\n",
    "    # classify without center biased news\n",
    "    # new = new[new.bias != '2']\n",
    "\n",
    "    return df\n",
    "\n",
    "# read in file and preview\n",
    "new = read_data('news-corpus-df.csv')\n",
    "new.head()\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we've structured the data, we can now start using a Natural Language Processing on our dataset.\n",
    "\n",
    "### Natural Language Processing using Google API\n",
    "\n",
    "Natural Language Processing (NLP) is a field of Artificial Intelligence that gives the machines the ability to read, understand, and derive meaning from human languages. Python already provides a well-known NLP module for this task, namely the Natural Language Toolkit (NLTK). However, there is a lot that goes into preparing the data to feed through a Naive Bayes or Support Vector Classifier.\n",
    "\n",
    "![](https://kidquant.com/post/images/Analyzing-News/topics-allsides7.PNG)\n",
    "\n",
    "As we can see, the process for using the `nltk` module is a painstaking process, as you can see. If we compare it with Google's Natural Language API, the process looks a little more like this:\n",
    "\n",
    "![](https://kidquant.com/post/images/Analyzing-News/topics-allsides8.PNG)\n",
    "\n",
    "As we can see, it's much more manageable. No need to look for specific stop words, tokenize the text, or test/train our dataset to fit the module.\n",
    "\n",
    "To use Google Natural Language API, you need to set up a Cloud Library account, enable the Natural Language API, and download the project file you are using for the API. The tutorial for this process can be found [here](https://cloud.google.com/natural-language/docs/reference/libraries).\n",
    "\n",
    "The next process involves using Google's NLP API to analyze the articles we've extracted from Part Two. We are going to create a loop that measures the Sentiment and Magnitude of each text and assign it to two new columns.\n",
    "\n",
    "#### Sentiment and Magnitude\n",
    "\n",
    "So what is the concept behind **Sentiment** and **Magnitude**, and how does it help us in our analysis?\n",
    "\n",
    "**Sentiment** attempts to determine the overall attitude (positive or negative) expressed within the text. The of a text will range between -1.0 (negative) and 1.0 (positive). Of course, it goes without saying that a score of 0.0 is considered neutral.\n",
    "\n",
    "**Magnitude** indicates the overall strength of the emotion (either positive or negative) within the given text. We're not sure how high this metric can go; however, the minimum us always 0. Unlike sentiment, magnitude is not normalized; each expression of emotion within the text (positive and negative) contributes to the text magnitude. So longer text may have greater magnitudes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>bias</th>\n",
       "      <th>headline</th>\n",
       "      <th>text</th>\n",
       "      <th>text_len</th>\n",
       "      <th>source</th>\n",
       "      <th>sentiment</th>\n",
       "      <th>magnitude</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2020-04-24</td>\n",
       "      <td>2</td>\n",
       "      <td>b\"Inside Trump's proposal to suspend some lega...</td>\n",
       "      <td>WASHINGTON (Reuters) - President Donald Trump ...</td>\n",
       "      <td>5310</td>\n",
       "      <td>Reuters</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>13.100000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2020-04-24</td>\n",
       "      <td>1</td>\n",
       "      <td>b\"Trump's moves on immigration reveal his true...</td>\n",
       "      <td>Rafia Zakaria is the author of \" The Upstairs ...</td>\n",
       "      <td>8191</td>\n",
       "      <td>CNN - Editorial</td>\n",
       "      <td>-0.3</td>\n",
       "      <td>23.100000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2020-04-24</td>\n",
       "      <td>3</td>\n",
       "      <td>b'Just imagine if Trump had stopped immigratio...</td>\n",
       "      <td>President Trump announced Monday night that he...</td>\n",
       "      <td>4247</td>\n",
       "      <td>Washington Examiner</td>\n",
       "      <td>-0.4</td>\n",
       "      <td>12.500000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2020-04-21</td>\n",
       "      <td>1</td>\n",
       "      <td>b'Trump says he will issue order to suspend im...</td>\n",
       "      <td>Trump, who is running for reelection on his im...</td>\n",
       "      <td>5760</td>\n",
       "      <td>Washington Post</td>\n",
       "      <td>-0.3</td>\n",
       "      <td>14.100000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2020-04-21</td>\n",
       "      <td>2</td>\n",
       "      <td>b'U.S. coronavirus response deepens divide as ...</td>\n",
       "      <td>ATLANTA (Reuters) - Governors of about half a ...</td>\n",
       "      <td>5319</td>\n",
       "      <td>Reuters</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>9.800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2020-04-21</td>\n",
       "      <td>3</td>\n",
       "      <td>b\"Trump to 'suspend immigration into the Unite...</td>\n",
       "      <td>Get all the latest news on coronavirus and mor...</td>\n",
       "      <td>5051</td>\n",
       "      <td>Fox News (Online)</td>\n",
       "      <td>-0.3</td>\n",
       "      <td>18.200001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2020-02-26</td>\n",
       "      <td>3</td>\n",
       "      <td>b'Court hands Trump win in sanctuary city figh...</td>\n",
       "      <td>A federal appeals court on Wednesday handed a ...</td>\n",
       "      <td>4764</td>\n",
       "      <td>Fox News (Online)</td>\n",
       "      <td>-0.4</td>\n",
       "      <td>10.600000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2020-02-26</td>\n",
       "      <td>2</td>\n",
       "      <td>b'Court rules Trump administration can withhol...</td>\n",
       "      <td>The 2nd U.S. Circuit Court of Appeals ruled We...</td>\n",
       "      <td>1330</td>\n",
       "      <td>Axios</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>3.300000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2020-02-14</td>\n",
       "      <td>1</td>\n",
       "      <td>b'Administration to Divert Billions From Penta...</td>\n",
       "      <td>WASHINGTON — The Pentagon plans to divert $3.8...</td>\n",
       "      <td>1585</td>\n",
       "      <td>New York Times (Online News)</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>3.400000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2020-02-14</td>\n",
       "      <td>3</td>\n",
       "      <td>b'Trump\\xe2\\x80\\x99s plan to strip planes, shi...</td>\n",
       "      <td>ASKING NEITHER FORGIVENESS NOR PERMISSION: In ...</td>\n",
       "      <td>17786</td>\n",
       "      <td>Washington Examiner</td>\n",
       "      <td>-0.1</td>\n",
       "      <td>36.500000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2020-02-14</td>\n",
       "      <td>2</td>\n",
       "      <td>b'Esper defends shifting defense funds for Tru...</td>\n",
       "      <td>U.S. Secretary for Defense Mark Esper speaks d...</td>\n",
       "      <td>3221</td>\n",
       "      <td>Associated Press</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>7.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          date  bias                                           headline  \\\n",
       "0   2020-04-24     2  b\"Inside Trump's proposal to suspend some lega...   \n",
       "1   2020-04-24     1  b\"Trump's moves on immigration reveal his true...   \n",
       "2   2020-04-24     3  b'Just imagine if Trump had stopped immigratio...   \n",
       "3   2020-04-21     1  b'Trump says he will issue order to suspend im...   \n",
       "4   2020-04-21     2  b'U.S. coronavirus response deepens divide as ...   \n",
       "5   2020-04-21     3  b\"Trump to 'suspend immigration into the Unite...   \n",
       "6   2020-02-26     3  b'Court hands Trump win in sanctuary city figh...   \n",
       "7   2020-02-26     2  b'Court rules Trump administration can withhol...   \n",
       "8   2020-02-14     1  b'Administration to Divert Billions From Penta...   \n",
       "9   2020-02-14     3  b'Trump\\xe2\\x80\\x99s plan to strip planes, shi...   \n",
       "10  2020-02-14     2  b'Esper defends shifting defense funds for Tru...   \n",
       "\n",
       "                                                 text  text_len  \\\n",
       "0   WASHINGTON (Reuters) - President Donald Trump ...      5310   \n",
       "1   Rafia Zakaria is the author of \" The Upstairs ...      8191   \n",
       "2   President Trump announced Monday night that he...      4247   \n",
       "3   Trump, who is running for reelection on his im...      5760   \n",
       "4   ATLANTA (Reuters) - Governors of about half a ...      5319   \n",
       "5   Get all the latest news on coronavirus and mor...      5051   \n",
       "6   A federal appeals court on Wednesday handed a ...      4764   \n",
       "7   The 2nd U.S. Circuit Court of Appeals ruled We...      1330   \n",
       "8   WASHINGTON — The Pentagon plans to divert $3.8...      1585   \n",
       "9   ASKING NEITHER FORGIVENESS NOR PERMISSION: In ...     17786   \n",
       "10  U.S. Secretary for Defense Mark Esper speaks d...      3221   \n",
       "\n",
       "                          source  sentiment  magnitude  \n",
       "0                        Reuters       -0.2  13.100000  \n",
       "1                CNN - Editorial       -0.3  23.100000  \n",
       "2            Washington Examiner       -0.4  12.500000  \n",
       "3                Washington Post       -0.3  14.100000  \n",
       "4                        Reuters       -0.2   9.800000  \n",
       "5              Fox News (Online)       -0.3  18.200001  \n",
       "6              Fox News (Online)       -0.4  10.600000  \n",
       "7                          Axios       -0.5   3.300000  \n",
       "8   New York Times (Online News)       -0.5   3.400000  \n",
       "9            Washington Examiner       -0.1  36.500000  \n",
       "10              Associated Press       -0.2   7.000000  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "client = language.LanguageServiceClient()\n",
    "\n",
    "# Gather sentiment score and magnitude data for each document\n",
    "sentiment_list = []\n",
    "magnitude_list = []\n",
    "\n",
    "for i in range(0, len(new['text'].values)):\n",
    "    # specify document type\n",
    "    document = types.Document(\n",
    "        content=new['text'].values[i], type=enums.Document.Type.PLAIN_TEXT)\n",
    "\n",
    "    # detects the sentiment of the text\n",
    "    sentiment = client.analyze_sentiment(document=document).document_sentiment\n",
    "    sentiment_list.append(sentiment.score)\n",
    "    magnitude_list.append(sentiment.magnitude)\n",
    "\n",
    "    # wait a second to add delay to query\n",
    "    time.sleep(.100)\n",
    "\n",
    "# Add sentiment information to data frame\n",
    "new = new.assign(sentiment=sentiment_list)\n",
    "new = new.assign(magnitude=magnitude_list)\n",
    "new.head(11)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's important to note that the Natural Language indicates differences between positive and negative emotion in a document, but does not identify specific positive and negative emotions. For example, \"angry\" and \"sad\" are both considered negative emotions. However, when the Natural Language analyzes text that is considered \"angry,\" or text that is considered \"sad,\" the response only indicates that the sentiment in the text is negative, not \"sad\" or \"angry.\"\n",
    "\n",
    "For example, our DataFrame has returned the results of our Sentiment Analysis for the articles published from April 14th - 14th. As we can see, the majority of the articles are negative. It unclear whether or not this is any relation to the subject matter or just the nature of the industry, in general ([if it bleeds, it leads](https://www.psychologytoday.com/us/blog/two-takes-depression/201106/if-it-bleeds-it-leads-understanding-fear-based-media)).\n",
    "\n",
    "The articles with a sentiment score closer to zero are published by **The Associated Press**, **Washington Examiner**, and **Reuters**. Looking at the magnitude scores, we can see the **Washington Examiner** article has a magnitude of 36; however, we have to remember that the value is proportional to the length of the text. Seeing that the article published by the **Washington Examiner** has 17,000+ characters, this makes sense. \n",
    "\n",
    "On the other hand, the **Washington Examiner** is not part of the mainstream media and primarily publishes opinion and commentary, which explains the degree in magnitude. If anything, the articles published by the **Washington Examiner**, **Associated Press** and **Reuters** can be considered mixed (a neutral sentiment with a strong degree of emotion)\n",
    "\n",
    "The articles published by **Axios** and **New York Times** shows a sentiment score of -0.5 and a magnitude of 3.3 and 3.4, respectively, which shows a clear negative sentiment. (Most people would not find this surprising coming from NYT) However, **Fox News (Online)** has two similar stories that convey a slightly less negative sentiment. Because the sentiment is less than -0.5 and the magnitude is relatively strong, we would rate the sentiment for both **Fox News** articles mixed, rather than clearly positive or negative.\n",
    "\n",
    "\"Clearly Positive\" or \"clearly\" negative sentiment varies for different cases and outlets; however, because the vast majority of news articles are negative (or at the very least, has a sentiment score of less than 0), we require a meaningful threshold to determine if an article was truly negative. \n",
    "\n",
    "Of course, this is all dependent upon the dataset, as well as the types of articles we extract. However (for now), we choose to use this threshold for news involving political issues.\n",
    "\n",
    "### Cleaning Up Data For Analaysis\n",
    "\n",
    "So now that we've done a quick overview of the dataset, we want to organize it in terms of bias. This next code chunk will allow us to do just that."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>bias</th>\n",
       "      <th>headline</th>\n",
       "      <th>text</th>\n",
       "      <th>text_len</th>\n",
       "      <th>source</th>\n",
       "      <th>sentiment</th>\n",
       "      <th>magnitude</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2020-04-24</td>\n",
       "      <td>2</td>\n",
       "      <td>b\"Inside Trump's proposal to suspend some lega...</td>\n",
       "      <td>WASHINGTON (Reuters) - President Donald Trump ...</td>\n",
       "      <td>5310</td>\n",
       "      <td>Reuters</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>13.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2020-04-21</td>\n",
       "      <td>2</td>\n",
       "      <td>b'U.S. coronavirus response deepens divide as ...</td>\n",
       "      <td>ATLANTA (Reuters) - Governors of about half a ...</td>\n",
       "      <td>5319</td>\n",
       "      <td>Reuters</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>9.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2020-02-26</td>\n",
       "      <td>2</td>\n",
       "      <td>b'Court rules Trump administration can withhol...</td>\n",
       "      <td>The 2nd U.S. Circuit Court of Appeals ruled We...</td>\n",
       "      <td>1330</td>\n",
       "      <td>Axios</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>3.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2020-02-14</td>\n",
       "      <td>2</td>\n",
       "      <td>b'Esper defends shifting defense funds for Tru...</td>\n",
       "      <td>U.S. Secretary for Defense Mark Esper speaks d...</td>\n",
       "      <td>3221</td>\n",
       "      <td>Associated Press</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2020-02-01</td>\n",
       "      <td>2</td>\n",
       "      <td>b'US travel ban: Trump restricts immigration f...</td>\n",
       "      <td>Image copyright Getty Images Image caption The...</td>\n",
       "      <td>3041</td>\n",
       "      <td>BBC News</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>8.3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         date  bias                                           headline  \\\n",
       "0  2020-04-24     2  b\"Inside Trump's proposal to suspend some lega...   \n",
       "1  2020-04-21     2  b'U.S. coronavirus response deepens divide as ...   \n",
       "2  2020-02-26     2  b'Court rules Trump administration can withhol...   \n",
       "3  2020-02-14     2  b'Esper defends shifting defense funds for Tru...   \n",
       "4  2020-02-01     2  b'US travel ban: Trump restricts immigration f...   \n",
       "\n",
       "                                                text  text_len  \\\n",
       "0  WASHINGTON (Reuters) - President Donald Trump ...      5310   \n",
       "1  ATLANTA (Reuters) - Governors of about half a ...      5319   \n",
       "2  The 2nd U.S. Circuit Court of Appeals ruled We...      1330   \n",
       "3  U.S. Secretary for Defense Mark Esper speaks d...      3221   \n",
       "4  Image copyright Getty Images Image caption The...      3041   \n",
       "\n",
       "             source  sentiment  magnitude  \n",
       "0           Reuters       -0.2       13.1  \n",
       "1           Reuters       -0.2        9.8  \n",
       "2             Axios       -0.5        3.3  \n",
       "3  Associated Press       -0.2        7.0  \n",
       "4          BBC News       -0.2        8.3  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "center = new.loc[new['bias'] ==2]\n",
    "right = new.loc[new['bias'] == 3]\n",
    "left = new.loc[new['bias'] ==1]\n",
    "\n",
    "new = center.append(right, ignore_index=True)\n",
    "new = new.append(left, ignore_index=True)\n",
    "new.head()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we are going to eliminate all of the unnecessary words, phrases, and propositions that don't contribute to your analysis. We are going to be using this for other forms of analysis later on (such as Topic Model,  Filter Bubles, Echo Chambers, etc)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>bias</th>\n",
       "      <th>headline</th>\n",
       "      <th>text</th>\n",
       "      <th>text_len</th>\n",
       "      <th>source</th>\n",
       "      <th>sentiment</th>\n",
       "      <th>magnitude</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2020-04-24</td>\n",
       "      <td>2</td>\n",
       "      <td>inside trump proposal suspend legal immigratio...</td>\n",
       "      <td>washington reuters president donald trump issu...</td>\n",
       "      <td>5310</td>\n",
       "      <td>Reuters</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>13.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2020-04-21</td>\n",
       "      <td>2</td>\n",
       "      <td>coronavirus response deepens divide trump susp...</td>\n",
       "      <td>atlanta reuters governors half dozen states pu...</td>\n",
       "      <td>5319</td>\n",
       "      <td>Reuters</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>9.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2020-02-26</td>\n",
       "      <td>2</td>\n",
       "      <td>court rules trump administration withhold fund...</td>\n",
       "      <td>nd circuit court appeals ruled wednesday trump...</td>\n",
       "      <td>1330</td>\n",
       "      <td>Axios</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>3.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2020-02-14</td>\n",
       "      <td>2</td>\n",
       "      <td>esper defends shifting defense funds trump xe ...</td>\n",
       "      <td>secretary defense mark esper speaks conference...</td>\n",
       "      <td>3221</td>\n",
       "      <td>Associated Press</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2020-02-01</td>\n",
       "      <td>2</td>\n",
       "      <td>us travel ban trump restricts immigration nige...</td>\n",
       "      <td>image getty images image us issued immigration...</td>\n",
       "      <td>3041</td>\n",
       "      <td>BBC News</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>8.3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         date  bias                                           headline  \\\n",
       "0  2020-04-24     2  inside trump proposal suspend legal immigratio...   \n",
       "1  2020-04-21     2  coronavirus response deepens divide trump susp...   \n",
       "2  2020-02-26     2  court rules trump administration withhold fund...   \n",
       "3  2020-02-14     2  esper defends shifting defense funds trump xe ...   \n",
       "4  2020-02-01     2  us travel ban trump restricts immigration nige...   \n",
       "\n",
       "                                                text  text_len  \\\n",
       "0  washington reuters president donald trump issu...      5310   \n",
       "1  atlanta reuters governors half dozen states pu...      5319   \n",
       "2  nd circuit court appeals ruled wednesday trump...      1330   \n",
       "3  secretary defense mark esper speaks conference...      3221   \n",
       "4  image getty images image us issued immigration...      3041   \n",
       "\n",
       "             source  sentiment  magnitude  \n",
       "0           Reuters       -0.2       13.1  \n",
       "1           Reuters       -0.2        9.8  \n",
       "2             Axios       -0.5        3.3  \n",
       "3  Associated Press       -0.2        7.0  \n",
       "4          BBC News       -0.2        8.3  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "\n",
    "def text_prepare(text):\n",
    "    \"\"\"\n",
    "        text: a string\n",
    "        return: modified initial string\n",
    "    \"\"\"\n",
    "    text = text.lower()\n",
    "    text = text.replace('\\n', ' ')\n",
    "\n",
    "    letters = list(string.ascii_lowercase)\n",
    "    numbers = ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']\n",
    "    banned = [\"’\", \"’\", \"“\", \"—\", \"”\", \"‘\", \"–\", '#', '[', '/',\n",
    "              '(', ')', '{', '}', '\\\\', '[', ']', '|', '@', ',', ';', '+', '-']\n",
    "    banned = ''.join(banned) + string.punctuation + ''.join(numbers)\n",
    "    boilerplate = ['  ', 'https', 'http', 'www', '’s', '―', '/', 'playback', 'get', 'mr', 'mrs', 'ms', 'dr', 'prof', 'news', 'report', 'unsubscribe', 'they', 'must', 'share', 'that', 'view', 'hide', 'copy', 'something', 'enlarge', 'reprint', 'read', '_', 'videos', 'autoplay', 'watched', 'press', '’ve', 'toggle', 'around', 'the', 's.', 'said', 'here©', 'ad', '#', 'andhis', 'click', 'r', 'device',\n",
    "                   'contributed', 'advertisement', 'the washington', '&', 'follow', 'copyright', 'mrs.', 'photo', 'to', 'also', 'times', 'for', 'however', 'fox', 'this', 'copyright ©', 'ofs', 'just', 'wait', 'n’t', 'told', 'unsupported', 'i', 'caption', 'ms.', '’m', 'paste', '’re', 'replay', 'photos', 'mr.', '©', 'skip', 'watch', '2018', 'cut', 'llc', 'more', 'post', 'embed', 'blog', 'b.', 'associated', 'permission']\n",
    "    stop_list = set(stopwords.words('english') + boilerplate + letters)\n",
    "\n",
    "    translation_table = dict.fromkeys(map(ord, banned), ' ')\n",
    "    text = text.translate(translation_table)\n",
    "    text = re.sub(' +', ' ', text)\n",
    "    text = ' '.join([word for word in text.split() if word not in stop_list])\n",
    "    return text\n",
    "\n",
    "\n",
    "# rewrite df with cleaned text\n",
    "for i in range(0, len(new)):\n",
    "    new.at[i, 'text'] = text_prepare(new.at[i, 'text'])\n",
    "    new.at[i, 'headline'] = text_prepare(new.at[i, 'headline'])\n",
    "\n",
    "new.head()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualizations and Statistical Analysis\n",
    "\n",
    "#### Histogram\n",
    "\n",
    "Data visualizations allow us to provide a graphical representation of the data. We want to be able to show the relationship between the bias of each article and the level of magnitude for the articles in general. We can demonstrate this with a simple histogram."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABDAAAAFgCAYAAABNIolGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nO3de7SVdZ0/8PfhcFUwNSx1SLkodpTp6rI1lehyVBzRtPKSGs6INWE2SoaCBEpBipPTjDJpZrWawQwbdZxmmCyl1qLSWI1Fph4vpWhpKd4GOXLgAPv3R8P5eQHOhXPO/u59Xq+/PPu57M9nXz774e2z99NQqVQqAQAAACjYgGoXAAAAANARAQYAAABQPAEGAAAAUDwBBgAAAFA8AQYAAABQPAEGAAAAUDwBBsW59dZbc+WVV77u9k9/+tPZsGFDr973//zP/+Sss87KlClT8uEPfzjf+ta3urWfG264oYcrA+g71ZrDt956aw4//PBMmTIlU6ZMyQknnJDPfe5zSZLly5fnpptu2ua2ixYtyre//e3X3X7HHXfk6aef7rWaAXpDNefw1u53a9asWZNTTz01U6dOzVNPPZUf/vCHvVYXbDGw2gVAZ/3jP/5jr+7/d7/7XRYsWJCvfe1rGTlyZFpbW3PmmWfmLW95SyZOnNilfV177bX56Ec/2kuVAlRHb8/hJDnuuOMyY8aMJMnmzZtz+umn59e//nWX5/AW//qv/5p58+blzW9+c0+WCVAVfTGHO+vhhx/Om970pixatCi33nprHn300RxxxBHVLos6J8CgSCtXrsxf//VfZ+3atfm7v/u7HH744TniiCPyve99L48//ngWLlyYzZs3Z82aNZkzZ07e9a53ZdasWXniiSeyfv36nH322Tn22GPb9/f4449nzpw5r7qP4447Lqeeemr73//xH/+RE088MSNHjkySDB06NF//+tez0047pa2tLZdeemkef/zxbN68OdOnT8973vOeHH/88TnkkEPy0EMPpaGhIddcc01uuOGG/O///m/mzZuXz372s1vd7rjjjsvo0aMzePDgfOlLX+qbBxWgC6oxh1+rpaUlL730UkaMGNF+cDxjxox8+ctfzp133pndd98969aty/nnn58kWbZsWW6//fa8+OKLOf/88zNgwIA0Nzdn5syZufHGGzN48ODeebAAekEJc3iL733ve/nmN7+ZAQMG5N3vfnfOO++8zJ8/P88880z+6Z/+KbfffntaW1vzzne+M3/5l3/Z448FbCHAoEjDhg3LV7/61Tz//PM5+eSTX/V/3n7zm99k5syZOeCAA/Kf//mfufXWWzN+/PisWLEit9xyS5Lkpz/96av2t++++2bx4sXbvc9nnnkmb33rW19124gRI5IkN910U3bbbbdcdtlleeGFF/LRj340S5cuTUtLSyZPnpy5c+fmM5/5TJYvX55zzjknN9xwQ+bNm5cbb7xxq9u9/PLL+eQnP5kDDzywJx4ugB5XjTmcJP/1X/+VlStXZvXq1dl5550zbdq0jB49Or/4xS+SJA8++GB+/OMf5+abb05bW1uOP/749m3f/OY35wtf+EJWrFiRr33ta7n++uvT1NSUefPmCS+AmlOtOfxaL774YhYtWpRbbrklw4YNy4UXXpif//znmT17dpYsWZLp06dnn332yaOPPiq8oNcJMCjSu9/97jQ0NOSNb3xjRowYkRdffLF92Zve9KZcc801GTp0aFpaWjJ8+PAMHz48c+fOzdy5c7N27dp84AMfeNX+OpM477333vnjH//4qnUefPDBVCqVPPzww7nnnnty7733Jkk2btyYF154IUnaQ4i99tor69evf9X229tuzJgx3X58AHpbNebwlttmzJiR3/3ud/nYxz6W0aNHv2r5b3/72/z5n/95Ghsb09jYmAkTJrQvO+igg5Kk/WuAALWsWnP4tZ544ok8//zz+du//dskfzo77ne/+51jWapCgEGRfv3rXydJVq9enZdffjm77bZb+7IvfOELufLKKzNu3LhcffXVefLJJ/PMM8/k/vvvz5e//OWsX78+hx12WE444YQMHPinl3hnEufjjjsu5557bo499tjsvvvuaWlpySWXXJJzzz03Y8eOzZ577plp06altbU11157bd7whjckSRoaGl63r0qlkiTb3W7AAL+hC5SrGnP4ld7ylrfk0ksvzfnnn5+lS5e2377ffvtl8eLF2bx5czZu3JgHHnigfdnW5nFDQ0P7TAaoJdWew1uMGjUqe+21V77xjW9k0KBBufXWW9PU1JQ1a9a0rzNgwIBs3rx5BzuGjgkwKNKWH9B8+eWX8/nPf/5VB6Uf+MAH8slPfjJvfOMbs+eee+aFF17IHnvskdWrV+fEE0/MTjvtlKlTp7YP684aNWpULrzwwnzqU59KY2NjWlpactJJJ+Wwww7Lhg0bMmfOnHz0ox/N2rVrc/rpp283gBg3blxmzJiRyy67rEvbAZSiGnP4td773vfmve99b66++ursv//+SZIDDjgghx12WE455ZTstttuGTRo0Hbv553vfGcuuuiifOMb38iuu+66Q/UA9KVqzeHbbrstd911V/vfixcvzt/8zd9kypQp2bRpU/7sz/4sf/VXf9V+hnGSjB8/Ptdee20OOuigTJ48eccah+1oqPjfEgBAjXjuuedy++2354wzzsiGDRsyefLk/Mu//Ev23nvvapcGAPQyZ2AAADVjt912y3333ZcPf/jDaWhoyMknnyy8AIB+whkYAAAAQPF8GR8AAAAongADAAAAKF6fBBiPPPJIt7ZbtWpVzxZSJfXQhx7KUQ996KFv9OfZq4dy1EMfeihH6X2Yu7WvHvrQQznqoY/SeuiTAGPjxo3d2m7dunU9XEl11EMfeihHPfShh77Rn2evHspRD33ooRyl92Hu1r566EMP5aiHPkrrwVdIAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMACoCa1tm3ZoOQAAtW1gtQsAgM4YOqgxo2ct3ebyVQsn92E1AAD0NWdgAAAAAMUTYAAAAADFE2AAAAAAxRNgAAAAAMUTYAAAAADFE2AAAAAAxRNgAAAAAMUTYAAAAADFE2AAAAAAxRNgAAAAAMUb2NEKmzZtypw5c/LYY4+lsbExl19+eV566aVMmzYto0ePTpKcdtppOfbYY3u7VgAAAKCf6jDA+NGPfpQkWbJkSVasWJHLL788RxxxRM4666xMnTq11wsEAAAA6DDAOPLII3P44YcnSZ566qmMHDky9913Xx577LEsW7Ys++67b2bPnp3hw4f3dq0AAABAP9VQqVQqnVlx5syZueOOO3L11Vfn6aefzgEHHJAJEybk2muvzZo1azJz5sxtbrty5coMGTKky8W1trZm6NChXd6uNPXQhx7KUQ996KH7mpqaOr1uvc3epqamjJ61dJvLVy2cnObm5iTl9tAV9dBDUh996KEc1eijP8/drqiHHpL66EMP5aiHPko75u3wDIwtrrjiisyYMSOnnHJKlixZkje/+c1JkqOOOirz58/f7rZDhgzp0vDform5uVvblaYe+tBDOeqhDz30jf44e7fUXcs9bFEPPST10YceylF6H/1x7m5RDz0k9dGHHspRD32U1kOHVyG57bbbct111yVJhg0bloaGhnzqU5/KvffemyS5++67c9BBB/VulQAAAEC/1uEZGEcffXQuvvjinHHGGdm4cWNmz56dvfbaK/Pnz8+gQYMycuTIDs/AAAAAANgRHQYYO+20U6666qrX3b5kyZJeKQgAAADgtTr8CgkAAABAtQkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMAAAAIDiDexohU2bNmXOnDl57LHH0tjYmMsvvzyVSiWzZs1KQ0ND9t9//1x66aUZMEAWAgAAAPSODgOMH/3oR0mSJUuWZMWKFe0BxvTp0/Oe97wnl1xySZYtW5ajjjqq14sFAAAA+qcOT5s48sgjM3/+/CTJU089lZEjR+b+++/PIYcckiSZOHFi7rrrrt6tEgAAAOjXGiqVSqUzK86cOTN33HFHrr766syaNSs/+clPkiR33313brnlllx55ZXb3HblypUZMmRIl4trbW3N0KFDu7xdaeqhDz2Uox760EP3NTU1dXrdepu9TU1NGT1r6TaXr1o4Oc3NzUnK7aEr6qGHpD760EM5qtFHtefuPqPHZudhnd9ny7r1eWLVo12uYUd5jZVDD+Wohz5KO+bt8CskW1xxxRWZMWNGTjnllKxfv7799paWluyyyy7b3XbIkCFdGv5bNDc3d2u70tRDH3ooRz30oYe+0R9n75a6a7mHLeqhh6Q++tBDOUrvo7fm7vbC29datXByVR6j0p+bzqqHPvRQjnroo7QeOvwKyW233ZbrrrsuSTJs2LA0NDRkwoQJWbFiRZJk+fLlOfjgg3u3SgAAAKBf6/AMjKOPPjoXX3xxzjjjjGzcuDGzZ8/OuHHjMnfu3HzpS1/K2LFjM2nSpL6oFQAAAOinOgwwdtppp1x11VWvu/2GG27olYIAAAAAXqvDr5AAAAAAVJsAAwAAACieAAMAAAAongADAAAAKJ4AAwAAACieAAMAAAAongADAAAAKJ4AAwAAACieAAMAAAAongADAAAAKJ4AAwAAACieAAMAAAAongADAAAAKJ4AAwAAACieAAMAAAAongADAAAAKJ4AAwAAACieAAMAAAAongADgF7X2rZph5YDAMDAahcAQP0bOqgxo2ct3ebyVQsn92E1AADUImdgAAAAAMUTYAAAAADFE2AAAAAAxRNgAAAAAMUTYAAAAADFE2AAsMNcBhUAgN7mMqoA7DCXSQUAoLc5AwMAAAAongADAAAAKJ4AAwAAACjedn8Do62tLbNnz86TTz6ZDRs25Jxzzsmee+6ZadOmZfTo0UmS0047Lccee2xf1AoAAAD0U9sNML773e9m1113zRe/+MW88MIL+eAHP5hzzz03Z511VqZOndpXNQIAAAD93HYDjGOOOSaTJk1q/7uxsTH33XdfHnvssSxbtiz77rtvZs+eneHDh/d6oQAAAED/1VCpVCodrbR27dqcc845OeWUU7Jhw4YccMABmTBhQq699tqsWbMmM2fO3O72K1euzJAhQ7pcXGtra4YOHdrl7UpTD33ooRz10Iceuq+pqanT6/bl7G1qaurwMqodLW9ubt7h+9iyD6+xctRDH3ooRzX6qPbc7Wj2vdaD84/J0EGNnV5/3YaNGTZ4u/9P81Va1q3PE6sefd3tXmPl0EM56qGP0o55O5xWf/jDH3Luuefm9NNPz/HHH581a9Zkl112SZIcddRRmT9/fod3PmTIkC4N/y2am5u7tV1p6qEPPZSjHvrQQ9+otdnbE/e5ZR+18Px0pB56SOqjDz2Uo/Q+Spi7Qwc1dinw6Chg3tr6W6u19Oems+qhDz2Uox76KK2H7V6F5Nlnn83UqVNz4YUX5qSTTkqSnH322bn33nuTJHfffXcOOuig3q8SAAAA6Ne2ewbGV77ylaxZsybXXHNNrrnmmiTJrFmzctlll2XQoEEZOXJkp87AAAAAANgR2w0w5syZkzlz5rzu9iVLlvRaQQAAAACvtd2vkAAAAACUQIABAAAAFE+AAQAAABRPgAFAv9DatmmHlgMAUF3b/RFPAKgXQwc1ZvSspdtcvmrh5D6sBgCArnIGBgAAAFA8AQYAAABQPAEGAAAAUDwBBgAAAFA8AQYAAABQPAEGAFXnEqYAAHTEZVQBqLqOLnGauMwpAEB/5wwMAAAAoHgCDAAAAKB4AgwAAACgeAIMAAAAoHgCDAAAAKB4AgwAAACgeDURYLS2bdqh5X1hezU0NTV1uE5PLAcAAIB6NbDaBXTG0EGNGT1r6TaXr1o4uQ+r2bqOakw6rrMW+gQAAIBqqIkzMAAAAID+TYABAAAAFE+AAQAAABRPgAEAAAAUT4ABAAAAFE+AAQAAABRPgNFJrW2bql0CAAAA9FsDq11ArRg6qDGjZy3d5vJVCyf3YTUAAADQvzgDAwAAACieAAMAAAAongADAAAAKN52fwOjra0ts2fPzpNPPpkNGzbknHPOyX777ZdZs2aloaEh+++/fy699NIMGCAHAQAAAHrPdgOM7373u9l1113zxS9+MS+88EI++MEP5q1vfWumT5+e97znPbnkkkuybNmyHHXUUX1VLwAAANAPbTfAOOaYYzJp0qT2vxsbG3P//ffnkEMOSZJMnDgxP/3pTzsMMNavX5/m5uYuF9fa2prm5uY0NTV1uG539t8VnamhM7ZXZwl9bsuW56KW1UMPSX30oYfu68os2tHZ2xU9NSN3RGvbpgwd1Jik+/WU9Lqsh/dJUh996KEc1eij2nO3hPn6WlurdVs97DN6bHYeNqRL+29Ztz5PrHq02/XtiK310dUeqll/Uh/v93roIamPPko75t1ugLHzzjsnSdauXZvzzjsv06dPzxVXXJGGhob25S+99FKHdz5kyJBuDd/OhhdJmcN9a3a0zmr12ZXnolT10ENSH33ooW/0xewtSU9c7rqkvmv1eXiteuhDD+UovY/+Mne3Vuv2etjebN6aVQsnF3fM25Ueqll/Unuvp62phx6S+uijtB46/PGKP/zhDznzzDNzwgkn5Pjjj3/V7120tLRkl1126dUCAQAAALYbYDz77LOZOnVqLrzwwpx00klJkgMPPDArVqxIkixfvjwHH3xw71cJAAAA9GvbDTC+8pWvZM2aNbnmmmsyZcqUTJkyJdOnT8+iRYty6qmnpq2t7VW/kQEAAADQG7b7Gxhz5szJnDlzXnf7DTfc0GsFAQAAALxWh7+BAQAAAFBtAgwAAACgeAKM/9Patqku7gMAAADq0XZ/A6M/GTqocbvXd161cHJN3AcAAADUI2dgAAAAAMUTYAAAAADFE2AAAAAAxRNgAAAAAMUTYAAAAADFE2DUmY4u1epSrgAA1JOuHt86Hoba5TKqdcalWgEA6E86Ov59LcfDULucgQEAAAAUT4ABAAAAFE+AAQAAABRPgAEAAAAUT4ABAAAAFE+AAQAAABRPgAEAABSjtW1TtUsACjWw2gUAAABsMXRQY0bPWtrp9VctnNyL1QAlcQYGAAAAUDwBBgAAAFA8AQYAAABQPAEGAAAAUDwBBgAAAFA8AQYAAABQPAEGAABAD2lt29Sr60N/NrDaBQAAANSLoYMaM3rW0k6vv2rh5F6sBuqLMzAAAACA4gkwAAAAgOIJMAAAAIDidSrA+NWvfpUpU6YkSe6///4ceuihmTJlSqZMmZL//u//7tUCAQAAADr8Ec/rr78+3/3udzNs2LAkyQMPPJCzzjorU6dO7fXiAAAAAJJOBBj77LNPFi1alIsuuihJct999+Wxxx7LsmXLsu+++2b27NkZPnz4dvexfv36NDc3d7m41tbWNDc3p6mpqcN1u7P/V+rMfZSgoz5767Ha8lzUsnroIamPPvTQfV2ZVTs6e7uiVmZoR0p6XdbD+ySpjz70UI5q9FHtuVvifN1ardvqocT6k23P+6310Rc99OTruh7e7/XQQ1IffZR2zNthgDFp0qT8/ve/b//7bW97W04++eRMmDAh1157bb785S9n5syZ293HkCFDuvXG72x4kZQ7HHtaT/TZ289Fqeqhh6Q++tBD3+iL2VtvSuq7Xp6HeuhDD+UovY/+Mne3Vms99JBUr4+evM9aey62ph56SOqjj9J66PKPeB511FGZMGFC+38/8MADPV4UAAAAwCt1OcA4++yzc++99yZJ7r777hx00EE9XhQAAADAK3X4FZLXmjdvXubPn59BgwZl5MiRmT9/fm/UBQAAANCuUwHGqFGj8p3vfCdJctBBB2XJkiW9WhQAAADAK3X5KyQAAAAAfU2AAQAAABRPgAEASVrbNvXIOgAA9I4u/4gnANSjoYMaM3rW0u2us2rh5D6qBgCA13IGBgAAAFA8AQYAAABQPAEGAAAAUDwBBgAAAFA8AQYAAABQPAEGAAAAUDwBBgDUkNa2TTu0HACgVg2sdgEAQOcNHdSY0bOWbnP5qoWT+7AaAIC+4wwMAAAAoHgCDAAAAKB4AgwAAACgeAIMAAAAoHgCDAAAAKB4Aowa4tJ4AAAA9Fcuo1pDOrp0XuLyeQAAANQnZ2AAAAAAxRNgAAAAAMUTYAAAAADFE2AAAAAAxRNgAAAAAMUTYAAAAADFE2AAAAAAxRNgAAAAAMUTYAAAAADFE2AAAAAAxRNgAAAAAMXrVIDxq1/9KlOmTEmSPP744znttNNy+umn59JLL83mzZt7tUAAAACADgOM66+/PnPmzMn69euTJJdffnmmT5+eG2+8MZVKJcuWLev1IgEAAID+rcMAY5999smiRYva/77//vtzyCGHJEkmTpyYu+66q/eqAwAAAEgysKMVJk2alN///vftf1cqlTQ0NCRJdt5557z00ksd3sn69evT3Nzc5eJaW1vT3NycpqamDtftzv5fqTP3UQ9a2zZl6KDGbS5vWbc+T6x69PXb/d9zUcvqoYekPvrQQ/d1ZVbt6Oztiv4yQ5Md/7zprG09D33xmdiTvN/LUA89JNXpo9pzt7T5uq1jydLq3J7tHQ9Xo4+Ojs9fa1vH6+37q8L7ZJ/RY7PzsCGdXr/EHnpDPfRR2jFvhwHGaw0Y8P9P2mhpackuu+zS4TZDhgzp1jDobHiR1NbQrKahgxozetbSbS5ftXDyVh/LrjwXpaqHHpL66EMPfaMvZm9/1FePzY48DyU9f/XwetJDOUrvoz/M3Y6OJV9r1cLJvVhN95TWQ3fq2d7rpVqvp3rooafVQx+l9dDlq5AceOCBWbFiRZJk+fLlOfjgg3u8KAAAAIBX6nKAMXPmzCxatCinnnpq2traMmnSpN6oCwAAAKBdp75CMmrUqHznO99JkowZMyY33HBDrxYFAAAA8EpdPgMDAAAAoK8JMAAAAIDi1UWA0dq2qUfWAWDrzNA/6ehx8DgBAPSeLl9GtUSdufRQiZdwAqgVnbkEc3/gcQAAqJ66OAMDAAAAqG8CDAAAAKB4AgwAAACgeAIMAAAAoHgCDAAAAKB4AgwAAACgeAIMAOgjrW2bdmg5AHRVdz5bfB5RqoHVLgAA+ouhgxozetbSbS5ftXByH1YDQH/Q0WfP1vg8olTOwAAAAACKJ8AAAAAAiifAAAAAAIonwAAAAACKJ8AAAAAAitdvAgyXAgIAAGpdR/+uaWpq6qNKoO/1m8uounQdAABQ67p6WVT/zqGe9JszMAAAAIDaJcAAAAAAiifAAAAAAIonwAAAAACKJ8AAAAAAiifAAAAAAIonwAAAAACKJ8AAAAAAiifAAAAAAIonwAAAAACKJ8AAAAAAijewuxueeOKJGTFiRJJk1KhRufzyy3usKAAAAIBX6laAsX79+iTJ4sWLe7QYAAAAgK3p1ldIHnzwwaxbty5Tp07NmWeemZUrV/Z0XQAAAADtunUGxtChQ3P22Wfn5JNPzqpVq/Lxj388t99+ewYO3Pru1q9fn+bm5i7fT2tra5qbm9PU1NSdMummrT1XW56LJNln9NjsPGzINrdvWbc+T6x6dIdq6I37eGUPtawe+tBD93VlHu7o7O3u/fZnrW2bMnRQY49svyOPeUnvr+68Vzr6DEh65rOms8ysclSjj2rN3e7cP/SkrryWu/o67ejz8rX768uZ35PqYfaWdszbrQBjzJgx2XfffdPQ0JAxY8Zk1113zerVq7PXXnttdf0hQ4Z0a/gKL6pja4/5a5+L0bOWbnP7VQsn98jz1tP3US+vp3roQw99w+zte0MHNXY4u3Zk+87sIynrHzzdfT115nHoqz7r4T1RDz0k5fdh7lJPevM12ZnPu1fqy5nfk+rhvV1aD936CsnNN9+chQsXJkmefvrprF27NnvssUePFgYAAACwRbfOwDjppJNy8cUX57TTTktDQ0Muu+yybX59BAAAAGBHdSt1GDx4cP7hH/6hp2sBAAAA2KpufYUEAAAAoC8JMAAAAIDiCTAAoB9pbdu0Q8s7u05vbt8T99EXNQDUKjOSUvnlTQDoRzpzqdeeuJTrjtawo/riPgDqVXcucwp9wRkYAAAAQPEEGAAAAEDxBBgAAABA8QQYAAAAQPEEGAAAAEDxBBgAAABA8QQYvMq2rvnc1NS0w/vo7HIAuq8vZqw5DwD9S1c/23vrWGBgr+yVmtWZaz53dJ3njvbhOtEAvacvZrA5DwD9S2f+nfhKvXUs4AwMAAAAoHgCDAAAAKB4AgwAAACgeAIMAAAAoHgCDAAAAKB4AgwAAACgeAIM+q2Ork3cW9cuLq0GgJ72ytnV1NRUxUoA6I+6egzdW+u/8jPQcX3PGFjtAqBaOrqWcW9du7i0GgB6mtkGQDV19Dn0Wl39XOrq/rtzH2ydMzAAAACA4gkwAAAAgOIJMAAAAIDiCTAAAACA4gkwAAAAgOIJMOhzLiHUs1yKFaA6zF8A6Fsuo0qf68xlh1xmqPNcrhCgOsxfAOhbzsAAAAAAiifAAAAAAIonwAAAAACK163fwNi8eXPmzZuXhx56KIMHD86CBQuy77779nRtAAAAAEm6eQbGnXfemQ0bNuSmm27KZz7zmSxcuLCn6wIAAABo160A45577smhhx6aJHnHO96R++67r0eLAgAAAHilhkqlUunqRp/97Gdz9NFH57DDDkuSHH744bnzzjszcODWv5GycuXKDBkyZMcqBSADBw7M/vvv36l1zV6AHWfuAvS9bc3ebv0GxvDhw9PS0iwi5o8AAAn5SURBVNL+9+bNm7cZXiR/OksDgL5l9gL0LXMXoHd16ysk73rXu7J8+fIkf0qax48f36NFAQAAALxSt75CsuUqJA8//HAqlUouu+yyjBs3rjfqAwAAAOhegAEAAADQl7r1FRIAAACAviTAAAAAAIonwAAAAACK163LqPa2LT8S+tBDD2Xw4MFZsGBB9t1332qX1Wm/+tWvcuWVV2bx4sV5/PHHM2vWrDQ0NGT//ffPpZdemgEDys6N2traMnv27Dz55JPZsGFDzjnnnOy333411cemTZsyZ86cPPbYY2lsbMzll1+eSqVSUz1s8dxzz+VDH/pQvvGNb2TgwIE12cOJJ56YESNGJElGjRqVadOm1Vwf1113XX74wx+mra0tp512Wg455JCa62F7an3uJrU9e83dspi7Zaj3uZvU/uw1d6vP7C1HPczdpAZmb6VA3//+9yszZ86sVCqVyi9/+cvKtGnTqlxR5331q1+tHHfccZWTTz65UqlUKp/4xCcqP/vZzyqVSqUyd+7cyg9+8INqltcpN998c2XBggWVSqVSef755yuHHXZYzfVxxx13VGbNmlWpVCqVn/3sZ5Vp06bVXA+VSqWyYcOGyic/+cnK0UcfXfnNb35Tkz20trZWTjjhhFfdVmt9/OxnP6t84hOfqGzatKmydu3aytVXX11zPXSkludupVL7s9fcLYe5W4b+MHcrldqeveZuGczeMtTD3K1UamP2FhkB3XPPPTn00EOTJO94xzty3333Vbmizttnn32yaNGi9r/vv//+HHLIIUmSiRMn5q677qpWaZ12zDHH5Pzzz2//u7Gxseb6OPLIIzN//vwkyVNPPZWRI0fWXA9JcsUVV+QjH/lI3vSmNyWpzdfTgw8+mHXr1mXq1Kk588wzs3Llyprr4yc/+UnGjx+fc889N9OmTcvhhx9ecz10pJbnblL7s9fcLYe5W4b+MHeT2p695m4ZzN4y1MPcTWpj9hYZYKxduzbDhw9v/7uxsTEbN26sYkWdN2nSpAwc+P+/mVOpVNLQ0JAk2XnnnfPSSy9Vq7RO23nnnTN8+PCsXbs25513XqZPn16TfQwcODAzZ87M/PnzM2nSpJrr4dZbb83uu+/efmCT1ObraejQoTn77LPz9a9/PZ/73OcyY8aMmuvjhRdeyH333ZerrrqqZnvoSC3P3aT2Z6+5WwZztxz9Ye4mtT17zd1ymL3VVw9zN6mN2VtkgDF8+PC0tLS0/7158+ZXDcha8srvB7W0tGSXXXapYjWd94c//CFnnnlmTjjhhBx//PE128cVV1yR73//+5k7d27Wr1/ffnst9HDLLbfkrrvuypQpU9Lc3JyZM2fm+eefb19eCz0kyZgxY/KBD3wgDQ0NGTNmTHbdddc899xz7ctroY9dd90173//+zN48OCMHTs2Q4YMedXwroUeOlJPczepzdlr7lafuVuO/jB3k/qavbU4s+pl7iZmb7XVw9xNamP2FhlgvOtd78ry5cuTJCtXrsz48eOrXFH3HXjggVmxYkWSZPny5Tn44IOrXFHHnn322UydOjUXXnhhTjrppCS118dtt92W6667LkkybNiwNDQ0ZMKECTXVw7e+9a3ccMMNWbx4cZqamnLFFVdk4sSJNdVDktx8881ZuHBhkuTpp5/O2rVr8773va+m+nj3u9+dH//4x6lUKnn66aezbt26/MVf/EVN9dCRepq7Se3NLHO3DOZuOfrD3E3qa/bW2syqh7mbmL2lqIe5m9TG7G2oVCqVqlawFVt+kfnhhx9OpVLJZZddlnHjxlW7rE77/e9/nwsuuCDf+c538thjj2Xu3Llpa2vL2LFjs2DBgjQ2Nla7xO1asGBBvve972Xs2LHtt332s5/NggULaqaPl19+ORdffHGeffbZbNy4MR//+Mczbty4mnsutpgyZUrmzZuXAQMG1FwPGzZsyMUXX5ynnnoqDQ0NmTFjRnbbbbea6+Pv//7vs2LFilQqlXz605/OqFGjaq6H7an1uZvU9uw1d8tj7lZfvc/dpPZnr7lbfWZvGepl7iblz94iAwwAAACAVyryKyQAAAAAryTAAAAAAIonwAAAAACKJ8AAAAAAiifAAAAAAIonwIBXWL16debNm5ck+fnPf54HH3ywU9utX78+RxxxRC9WBlC/zF6AvmXuUqsEGPAKe+yxR/swv+WWW/LMM89UtyCAfsDsBehb5i61amC1C4CuuPXWW/OjH/0ora2tWb16dc4888wsW7YsjzzySC666KL88Y9/zA9+8INs3LgxI0aMyKJFi7J58+ZcdNFFeeaZZ7LXXnvl5z//eX7yk59kypQpeetb35pHHnkka9euzVVXXZVKpZILLrggl1xySX784x/n/vvvz3777ZeTTz45P/3pT5Mkn/70p/ORj3wkEyZMyIwZM7JmzZrss88+7TU+9NBDWbBgQZJk1113zWWXXZYRI0ZU5fEC6AlmL0DfMndh65yBQc1paWnJ9ddfn49//OP59re/nX/+53/O5z//+dx888158cUX881vfjM33nhjNm7cmF//+te56aabMmrUqCxZsiSf+tSn8txzz7Xv621ve1u++c1v5n3ve1+WLl3afvuECRNy6KGH5sILL8zee++91Tr+/d//PePHj8+3vvWtfOQjH2m/fe7cubn00kuzePHiTJw4MV/72td678EA6CNmL0DfMnfh9ZyBQc1pampKkowYMSLjxo1LQ0ND3vCGN6StrS2DBg3KBRdckJ122il//OMfs3Hjxvz2t7/NxIkTkyTjxo3L7rvv3r6vAw88MEmy55575tlnn+3U/VcqlSTJI488kkMPPTRJ8va3vz0DB/7p7fTb3/42n/vc55IkbW1tGTNmTA90DVBdZi9A3zJ34fUEGNSchoaGrd7e1taWO++8M//2b/+WdevW5UMf+lAqlUrGjx+fX/7ylznyyCPzxBNP5IUXXuj0/WwZ3Bs3bkxLS0sGDRqU3/zmN0mSsWPHZuXKlTnyyCPzwAMPZOPGjUmSMWPG5Iorrsjee++de+65J6tXr+6BrgGqy+wF6FvmLryeAIO6MXDgwAwbNiwf+tCHMnjw4Oyxxx555plnctJJJ2XWrFk544wzsvfee2fIkCGd2t/b3/72XHnllRk1alTOPPPMnHrqqRk1alT76XVnnHFGLr744px22mkZO3ZsBg0alCSZN29eZs6cmU2bNiVJvvCFL/ROwwAFMHsB+pa5S3/WUNkSt0Gd+sUvfpGXX34573//+7Nq1ap87GMfy5133lntsgDqmtkL0LfMXfoDAQZ1b/Xq1bngggvS1taWjRs35rzzzmv/fiAAvcPsBehb5i79gQADAAAAKJ7LqAIAAADFE2AAAAAAxRNgAAAAAMUTYAAAAADFE2AAAAAAxft/C8G7lKVN1ZUAAAAASUVORK5CYII=\n",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n",
       "<svg height=\"353.365625pt\" version=\"1.1\" viewBox=\"0 0 1072.671875 353.365625\" width=\"1072.671875pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 353.365625 \r\n",
       "L 1072.671875 353.365625 \r\n",
       "L 1072.671875 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 25.321875 316.757812 \r\n",
       "L 364.838542 316.757812 \r\n",
       "L 364.838542 20.357812 \r\n",
       "L 25.321875 20.357812 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 39.27529 316.757812 \r\n",
       "L 39.27529 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 4.15625 35.296875 \r\n",
       "Q 4.15625 48 6.765625 55.734375 \r\n",
       "Q 9.375 63.484375 14.515625 67.671875 \r\n",
       "Q 19.671875 71.875 27.484375 71.875 \r\n",
       "Q 33.25 71.875 37.59375 69.546875 \r\n",
       "Q 41.9375 67.234375 44.765625 62.859375 \r\n",
       "Q 47.609375 58.5 49.21875 52.21875 \r\n",
       "Q 50.828125 45.953125 50.828125 35.296875 \r\n",
       "Q 50.828125 22.703125 48.234375 14.96875 \r\n",
       "Q 45.65625 7.234375 40.5 3 \r\n",
       "Q 35.359375 -1.21875 27.484375 -1.21875 \r\n",
       "Q 17.140625 -1.21875 11.234375 6.203125 \r\n",
       "Q 4.15625 15.140625 4.15625 35.296875 \r\n",
       "z\r\n",
       "M 13.1875 35.296875 \r\n",
       "Q 13.1875 17.671875 17.3125 11.828125 \r\n",
       "Q 21.4375 6 27.484375 6 \r\n",
       "Q 33.546875 6 37.671875 11.859375 \r\n",
       "Q 41.796875 17.71875 41.796875 35.296875 \r\n",
       "Q 41.796875 52.984375 37.671875 58.78125 \r\n",
       "Q 33.546875 64.59375 27.390625 64.59375 \r\n",
       "Q 21.34375 64.59375 17.71875 59.46875 \r\n",
       "Q 13.1875 52.9375 13.1875 35.296875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-48\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(36.494821 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 88.580643 316.757812 \r\n",
       "L 88.580643 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- 10 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 37.25 0 \r\n",
       "L 28.46875 0 \r\n",
       "L 28.46875 56 \r\n",
       "Q 25.296875 52.984375 20.140625 49.953125 \r\n",
       "Q 14.984375 46.921875 10.890625 45.40625 \r\n",
       "L 10.890625 53.90625 \r\n",
       "Q 18.265625 57.375 23.78125 62.296875 \r\n",
       "Q 29.296875 67.234375 31.59375 71.875 \r\n",
       "L 37.25 71.875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-49\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(83.019705 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-49\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 137.885995 316.757812 \r\n",
       "L 137.885995 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- 20 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 50.34375 8.453125 \r\n",
       "L 50.34375 0 \r\n",
       "L 3.03125 0 \r\n",
       "Q 2.9375 3.171875 4.046875 6.109375 \r\n",
       "Q 5.859375 10.9375 9.828125 15.625 \r\n",
       "Q 13.8125 20.3125 21.34375 26.46875 \r\n",
       "Q 33.015625 36.03125 37.109375 41.625 \r\n",
       "Q 41.21875 47.21875 41.21875 52.203125 \r\n",
       "Q 41.21875 57.421875 37.46875 61 \r\n",
       "Q 33.734375 64.59375 27.734375 64.59375 \r\n",
       "Q 21.390625 64.59375 17.578125 60.78125 \r\n",
       "Q 13.765625 56.984375 13.71875 50.25 \r\n",
       "L 4.6875 51.171875 \r\n",
       "Q 5.609375 61.28125 11.65625 66.578125 \r\n",
       "Q 17.71875 71.875 27.9375 71.875 \r\n",
       "Q 38.234375 71.875 44.234375 66.15625 \r\n",
       "Q 50.25 60.453125 50.25 52 \r\n",
       "Q 50.25 47.703125 48.484375 43.546875 \r\n",
       "Q 46.734375 39.40625 42.65625 34.8125 \r\n",
       "Q 38.578125 30.21875 29.109375 22.21875 \r\n",
       "Q 21.1875 15.578125 18.9375 13.203125 \r\n",
       "Q 16.703125 10.84375 15.234375 8.453125 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-50\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(132.325058 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-50\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_4\">\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 187.191348 316.757812 \r\n",
       "L 187.191348 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- 30 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 4.203125 18.890625 \r\n",
       "L 12.984375 20.0625 \r\n",
       "Q 14.5 12.59375 18.140625 9.296875 \r\n",
       "Q 21.78125 6 27 6 \r\n",
       "Q 33.203125 6 37.46875 10.296875 \r\n",
       "Q 41.75 14.59375 41.75 20.953125 \r\n",
       "Q 41.75 27 37.796875 30.921875 \r\n",
       "Q 33.84375 34.859375 27.734375 34.859375 \r\n",
       "Q 25.25 34.859375 21.53125 33.890625 \r\n",
       "L 22.515625 41.609375 \r\n",
       "Q 23.390625 41.5 23.921875 41.5 \r\n",
       "Q 29.546875 41.5 34.03125 44.421875 \r\n",
       "Q 38.53125 47.359375 38.53125 53.46875 \r\n",
       "Q 38.53125 58.296875 35.25 61.46875 \r\n",
       "Q 31.984375 64.65625 26.8125 64.65625 \r\n",
       "Q 21.6875 64.65625 18.265625 61.421875 \r\n",
       "Q 14.84375 58.203125 13.875 51.765625 \r\n",
       "L 5.078125 53.328125 \r\n",
       "Q 6.6875 62.15625 12.390625 67.015625 \r\n",
       "Q 18.109375 71.875 26.609375 71.875 \r\n",
       "Q 32.46875 71.875 37.390625 69.359375 \r\n",
       "Q 42.328125 66.84375 44.9375 62.5 \r\n",
       "Q 47.5625 58.15625 47.5625 53.265625 \r\n",
       "Q 47.5625 48.640625 45.0625 44.828125 \r\n",
       "Q 42.578125 41.015625 37.703125 38.765625 \r\n",
       "Q 44.046875 37.3125 47.5625 32.6875 \r\n",
       "Q 51.078125 28.078125 51.078125 21.140625 \r\n",
       "Q 51.078125 11.765625 44.234375 5.25 \r\n",
       "Q 37.40625 -1.265625 26.953125 -1.265625 \r\n",
       "Q 17.53125 -1.265625 11.296875 4.34375 \r\n",
       "Q 5.078125 9.96875 4.203125 18.890625 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-51\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(181.630411 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-51\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_5\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 236.496701 316.757812 \r\n",
       "L 236.496701 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- 40 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 32.328125 0 \r\n",
       "L 32.328125 17.140625 \r\n",
       "L 1.265625 17.140625 \r\n",
       "L 1.265625 25.203125 \r\n",
       "L 33.9375 71.578125 \r\n",
       "L 41.109375 71.578125 \r\n",
       "L 41.109375 25.203125 \r\n",
       "L 50.78125 25.203125 \r\n",
       "L 50.78125 17.140625 \r\n",
       "L 41.109375 17.140625 \r\n",
       "L 41.109375 0 \r\n",
       "z\r\n",
       "M 32.328125 25.203125 \r\n",
       "L 32.328125 57.46875 \r\n",
       "L 9.90625 25.203125 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-52\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(230.935763 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-52\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_6\">\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 285.802053 316.757812 \r\n",
       "L 285.802053 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- 50 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 4.15625 18.75 \r\n",
       "L 13.375 19.53125 \r\n",
       "Q 14.40625 12.796875 18.140625 9.390625 \r\n",
       "Q 21.875 6 27.15625 6 \r\n",
       "Q 33.5 6 37.890625 10.78125 \r\n",
       "Q 42.28125 15.578125 42.28125 23.484375 \r\n",
       "Q 42.28125 31 38.0625 35.34375 \r\n",
       "Q 33.84375 39.703125 27 39.703125 \r\n",
       "Q 22.75 39.703125 19.328125 37.765625 \r\n",
       "Q 15.921875 35.84375 13.96875 32.765625 \r\n",
       "L 5.71875 33.84375 \r\n",
       "L 12.640625 70.609375 \r\n",
       "L 48.25 70.609375 \r\n",
       "L 48.25 62.203125 \r\n",
       "L 19.671875 62.203125 \r\n",
       "L 15.828125 42.96875 \r\n",
       "Q 22.265625 47.46875 29.34375 47.46875 \r\n",
       "Q 38.71875 47.46875 45.15625 40.96875 \r\n",
       "Q 51.609375 34.46875 51.609375 24.265625 \r\n",
       "Q 51.609375 14.546875 45.953125 7.46875 \r\n",
       "Q 39.0625 -1.21875 27.15625 -1.21875 \r\n",
       "Q 17.390625 -1.21875 11.203125 4.25 \r\n",
       "Q 5.03125 9.71875 4.15625 18.75 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-53\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(280.241116 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-53\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_7\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 335.107406 316.757812 \r\n",
       "L 335.107406 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- 60 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 49.75 54.046875 \r\n",
       "L 41.015625 53.375 \r\n",
       "Q 39.84375 58.546875 37.703125 60.890625 \r\n",
       "Q 34.125 64.65625 28.90625 64.65625 \r\n",
       "Q 24.703125 64.65625 21.53125 62.3125 \r\n",
       "Q 17.390625 59.28125 14.984375 53.46875 \r\n",
       "Q 12.59375 47.65625 12.5 36.921875 \r\n",
       "Q 15.671875 41.75 20.265625 44.09375 \r\n",
       "Q 24.859375 46.4375 29.890625 46.4375 \r\n",
       "Q 38.671875 46.4375 44.84375 39.96875 \r\n",
       "Q 51.03125 33.5 51.03125 23.25 \r\n",
       "Q 51.03125 16.5 48.125 10.71875 \r\n",
       "Q 45.21875 4.9375 40.140625 1.859375 \r\n",
       "Q 35.0625 -1.21875 28.609375 -1.21875 \r\n",
       "Q 17.625 -1.21875 10.6875 6.859375 \r\n",
       "Q 3.765625 14.9375 3.765625 33.5 \r\n",
       "Q 3.765625 54.25 11.421875 63.671875 \r\n",
       "Q 18.109375 71.875 29.4375 71.875 \r\n",
       "Q 37.890625 71.875 43.28125 67.140625 \r\n",
       "Q 48.6875 62.40625 49.75 54.046875 \r\n",
       "z\r\n",
       "M 13.875 23.1875 \r\n",
       "Q 13.875 18.65625 15.796875 14.5 \r\n",
       "Q 17.71875 10.359375 21.1875 8.171875 \r\n",
       "Q 24.65625 6 28.46875 6 \r\n",
       "Q 34.03125 6 38.03125 10.484375 \r\n",
       "Q 42.046875 14.984375 42.046875 22.703125 \r\n",
       "Q 42.046875 30.125 38.078125 34.390625 \r\n",
       "Q 34.125 38.671875 28.125 38.671875 \r\n",
       "Q 22.171875 38.671875 18.015625 34.390625 \r\n",
       "Q 13.875 30.125 13.875 23.1875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-54\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(329.546469 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-54\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_8\">\r\n",
       "     <!-- magnitude -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 6.59375 0 \r\n",
       "L 6.59375 51.859375 \r\n",
       "L 14.453125 51.859375 \r\n",
       "L 14.453125 44.578125 \r\n",
       "Q 16.890625 48.390625 20.9375 50.703125 \r\n",
       "Q 25 53.03125 30.171875 53.03125 \r\n",
       "Q 35.9375 53.03125 39.625 50.640625 \r\n",
       "Q 43.3125 48.25 44.828125 43.953125 \r\n",
       "Q 50.984375 53.03125 60.84375 53.03125 \r\n",
       "Q 68.5625 53.03125 72.703125 48.75 \r\n",
       "Q 76.859375 44.484375 76.859375 35.59375 \r\n",
       "L 76.859375 0 \r\n",
       "L 68.109375 0 \r\n",
       "L 68.109375 32.671875 \r\n",
       "Q 68.109375 37.9375 67.25 40.25 \r\n",
       "Q 66.40625 42.578125 64.15625 43.984375 \r\n",
       "Q 61.921875 45.40625 58.890625 45.40625 \r\n",
       "Q 53.421875 45.40625 49.796875 41.765625 \r\n",
       "Q 46.1875 38.140625 46.1875 30.125 \r\n",
       "L 46.1875 0 \r\n",
       "L 37.40625 0 \r\n",
       "L 37.40625 33.6875 \r\n",
       "Q 37.40625 39.546875 35.25 42.46875 \r\n",
       "Q 33.109375 45.40625 28.21875 45.40625 \r\n",
       "Q 24.515625 45.40625 21.359375 43.453125 \r\n",
       "Q 18.21875 41.5 16.796875 37.734375 \r\n",
       "Q 15.375 33.984375 15.375 26.90625 \r\n",
       "L 15.375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-109\"/>\r\n",
       "      <path d=\"M 40.4375 6.390625 \r\n",
       "Q 35.546875 2.25 31.03125 0.53125 \r\n",
       "Q 26.515625 -1.171875 21.34375 -1.171875 \r\n",
       "Q 12.796875 -1.171875 8.203125 3 \r\n",
       "Q 3.609375 7.171875 3.609375 13.671875 \r\n",
       "Q 3.609375 17.484375 5.34375 20.625 \r\n",
       "Q 7.078125 23.78125 9.890625 25.6875 \r\n",
       "Q 12.703125 27.59375 16.21875 28.5625 \r\n",
       "Q 18.796875 29.25 24.03125 29.890625 \r\n",
       "Q 34.671875 31.15625 39.703125 32.90625 \r\n",
       "Q 39.75 34.71875 39.75 35.203125 \r\n",
       "Q 39.75 40.578125 37.25 42.78125 \r\n",
       "Q 33.890625 45.75 27.25 45.75 \r\n",
       "Q 21.046875 45.75 18.09375 43.578125 \r\n",
       "Q 15.140625 41.40625 13.71875 35.890625 \r\n",
       "L 5.125 37.0625 \r\n",
       "Q 6.296875 42.578125 8.984375 45.96875 \r\n",
       "Q 11.671875 49.359375 16.75 51.1875 \r\n",
       "Q 21.828125 53.03125 28.515625 53.03125 \r\n",
       "Q 35.15625 53.03125 39.296875 51.46875 \r\n",
       "Q 43.453125 49.90625 45.40625 47.53125 \r\n",
       "Q 47.359375 45.171875 48.140625 41.546875 \r\n",
       "Q 48.578125 39.3125 48.578125 33.453125 \r\n",
       "L 48.578125 21.734375 \r\n",
       "Q 48.578125 9.46875 49.140625 6.21875 \r\n",
       "Q 49.703125 2.984375 51.375 0 \r\n",
       "L 42.1875 0 \r\n",
       "Q 40.828125 2.734375 40.4375 6.390625 \r\n",
       "z\r\n",
       "M 39.703125 26.03125 \r\n",
       "Q 34.90625 24.078125 25.34375 22.703125 \r\n",
       "Q 19.921875 21.921875 17.671875 20.9375 \r\n",
       "Q 15.4375 19.96875 14.203125 18.09375 \r\n",
       "Q 12.984375 16.21875 12.984375 13.921875 \r\n",
       "Q 12.984375 10.40625 15.640625 8.0625 \r\n",
       "Q 18.3125 5.71875 23.4375 5.71875 \r\n",
       "Q 28.515625 5.71875 32.46875 7.9375 \r\n",
       "Q 36.421875 10.15625 38.28125 14.015625 \r\n",
       "Q 39.703125 17 39.703125 22.796875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-97\"/>\r\n",
       "      <path d=\"M 4.984375 -4.296875 \r\n",
       "L 13.53125 -5.5625 \r\n",
       "Q 14.0625 -9.515625 16.5 -11.328125 \r\n",
       "Q 19.78125 -13.765625 25.4375 -13.765625 \r\n",
       "Q 31.546875 -13.765625 34.859375 -11.328125 \r\n",
       "Q 38.1875 -8.890625 39.359375 -4.5 \r\n",
       "Q 40.046875 -1.8125 39.984375 6.78125 \r\n",
       "Q 34.234375 0 25.640625 0 \r\n",
       "Q 14.9375 0 9.078125 7.71875 \r\n",
       "Q 3.21875 15.4375 3.21875 26.21875 \r\n",
       "Q 3.21875 33.640625 5.90625 39.90625 \r\n",
       "Q 8.59375 46.1875 13.6875 49.609375 \r\n",
       "Q 18.796875 53.03125 25.6875 53.03125 \r\n",
       "Q 34.859375 53.03125 40.828125 45.609375 \r\n",
       "L 40.828125 51.859375 \r\n",
       "L 48.921875 51.859375 \r\n",
       "L 48.921875 7.03125 \r\n",
       "Q 48.921875 -5.078125 46.453125 -10.125 \r\n",
       "Q 44 -15.1875 38.640625 -18.109375 \r\n",
       "Q 33.296875 -21.046875 25.484375 -21.046875 \r\n",
       "Q 16.21875 -21.046875 10.5 -16.875 \r\n",
       "Q 4.78125 -12.703125 4.984375 -4.296875 \r\n",
       "z\r\n",
       "M 12.25 26.859375 \r\n",
       "Q 12.25 16.65625 16.296875 11.96875 \r\n",
       "Q 20.359375 7.28125 26.46875 7.28125 \r\n",
       "Q 32.515625 7.28125 36.609375 11.9375 \r\n",
       "Q 40.71875 16.609375 40.71875 26.5625 \r\n",
       "Q 40.71875 36.078125 36.5 40.90625 \r\n",
       "Q 32.28125 45.75 26.3125 45.75 \r\n",
       "Q 20.453125 45.75 16.34375 40.984375 \r\n",
       "Q 12.25 36.234375 12.25 26.859375 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-103\"/>\r\n",
       "      <path d=\"M 6.59375 0 \r\n",
       "L 6.59375 51.859375 \r\n",
       "L 14.5 51.859375 \r\n",
       "L 14.5 44.484375 \r\n",
       "Q 20.21875 53.03125 31 53.03125 \r\n",
       "Q 35.6875 53.03125 39.625 51.34375 \r\n",
       "Q 43.5625 49.65625 45.515625 46.921875 \r\n",
       "Q 47.46875 44.1875 48.25 40.4375 \r\n",
       "Q 48.734375 37.984375 48.734375 31.890625 \r\n",
       "L 48.734375 0 \r\n",
       "L 39.9375 0 \r\n",
       "L 39.9375 31.546875 \r\n",
       "Q 39.9375 36.921875 38.90625 39.578125 \r\n",
       "Q 37.890625 42.234375 35.28125 43.8125 \r\n",
       "Q 32.671875 45.40625 29.15625 45.40625 \r\n",
       "Q 23.53125 45.40625 19.453125 41.84375 \r\n",
       "Q 15.375 38.28125 15.375 28.328125 \r\n",
       "L 15.375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-110\"/>\r\n",
       "      <path d=\"M 6.640625 61.46875 \r\n",
       "L 6.640625 71.578125 \r\n",
       "L 15.4375 71.578125 \r\n",
       "L 15.4375 61.46875 \r\n",
       "z\r\n",
       "M 6.640625 0 \r\n",
       "L 6.640625 51.859375 \r\n",
       "L 15.4375 51.859375 \r\n",
       "L 15.4375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-105\"/>\r\n",
       "      <path d=\"M 25.78125 7.859375 \r\n",
       "L 27.046875 0.09375 \r\n",
       "Q 23.34375 -0.6875 20.40625 -0.6875 \r\n",
       "Q 15.625 -0.6875 12.984375 0.828125 \r\n",
       "Q 10.359375 2.34375 9.28125 4.8125 \r\n",
       "Q 8.203125 7.28125 8.203125 15.1875 \r\n",
       "L 8.203125 45.015625 \r\n",
       "L 1.765625 45.015625 \r\n",
       "L 1.765625 51.859375 \r\n",
       "L 8.203125 51.859375 \r\n",
       "L 8.203125 64.703125 \r\n",
       "L 16.9375 69.96875 \r\n",
       "L 16.9375 51.859375 \r\n",
       "L 25.78125 51.859375 \r\n",
       "L 25.78125 45.015625 \r\n",
       "L 16.9375 45.015625 \r\n",
       "L 16.9375 14.703125 \r\n",
       "Q 16.9375 10.9375 17.40625 9.859375 \r\n",
       "Q 17.875 8.796875 18.921875 8.15625 \r\n",
       "Q 19.96875 7.515625 21.921875 7.515625 \r\n",
       "Q 23.390625 7.515625 25.78125 7.859375 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-116\"/>\r\n",
       "      <path d=\"M 40.578125 0 \r\n",
       "L 40.578125 7.625 \r\n",
       "Q 34.515625 -1.171875 24.125 -1.171875 \r\n",
       "Q 19.53125 -1.171875 15.546875 0.578125 \r\n",
       "Q 11.578125 2.34375 9.640625 5 \r\n",
       "Q 7.71875 7.671875 6.9375 11.53125 \r\n",
       "Q 6.390625 14.109375 6.390625 19.734375 \r\n",
       "L 6.390625 51.859375 \r\n",
       "L 15.1875 51.859375 \r\n",
       "L 15.1875 23.09375 \r\n",
       "Q 15.1875 16.21875 15.71875 13.8125 \r\n",
       "Q 16.546875 10.359375 19.234375 8.375 \r\n",
       "Q 21.921875 6.390625 25.875 6.390625 \r\n",
       "Q 29.828125 6.390625 33.296875 8.421875 \r\n",
       "Q 36.765625 10.453125 38.203125 13.9375 \r\n",
       "Q 39.65625 17.4375 39.65625 24.078125 \r\n",
       "L 39.65625 51.859375 \r\n",
       "L 48.4375 51.859375 \r\n",
       "L 48.4375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-117\"/>\r\n",
       "      <path d=\"M 40.234375 0 \r\n",
       "L 40.234375 6.546875 \r\n",
       "Q 35.296875 -1.171875 25.734375 -1.171875 \r\n",
       "Q 19.53125 -1.171875 14.328125 2.25 \r\n",
       "Q 9.125 5.671875 6.265625 11.796875 \r\n",
       "Q 3.421875 17.921875 3.421875 25.875 \r\n",
       "Q 3.421875 33.640625 6 39.96875 \r\n",
       "Q 8.59375 46.296875 13.765625 49.65625 \r\n",
       "Q 18.953125 53.03125 25.34375 53.03125 \r\n",
       "Q 30.03125 53.03125 33.6875 51.046875 \r\n",
       "Q 37.359375 49.078125 39.65625 45.90625 \r\n",
       "L 39.65625 71.578125 \r\n",
       "L 48.390625 71.578125 \r\n",
       "L 48.390625 0 \r\n",
       "z\r\n",
       "M 12.453125 25.875 \r\n",
       "Q 12.453125 15.921875 16.640625 10.984375 \r\n",
       "Q 20.84375 6.0625 26.5625 6.0625 \r\n",
       "Q 32.328125 6.0625 36.34375 10.765625 \r\n",
       "Q 40.375 15.484375 40.375 25.140625 \r\n",
       "Q 40.375 35.796875 36.265625 40.765625 \r\n",
       "Q 32.171875 45.75 26.171875 45.75 \r\n",
       "Q 20.3125 45.75 16.375 40.96875 \r\n",
       "Q 12.453125 36.1875 12.453125 25.875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-100\"/>\r\n",
       "      <path d=\"M 42.09375 16.703125 \r\n",
       "L 51.171875 15.578125 \r\n",
       "Q 49.03125 7.625 43.21875 3.21875 \r\n",
       "Q 37.40625 -1.171875 28.375 -1.171875 \r\n",
       "Q 17 -1.171875 10.328125 5.828125 \r\n",
       "Q 3.65625 12.84375 3.65625 25.484375 \r\n",
       "Q 3.65625 38.578125 10.390625 45.796875 \r\n",
       "Q 17.140625 53.03125 27.875 53.03125 \r\n",
       "Q 38.28125 53.03125 44.875 45.953125 \r\n",
       "Q 51.46875 38.875 51.46875 26.03125 \r\n",
       "Q 51.46875 25.25 51.421875 23.6875 \r\n",
       "L 12.75 23.6875 \r\n",
       "Q 13.234375 15.140625 17.578125 10.59375 \r\n",
       "Q 21.921875 6.0625 28.421875 6.0625 \r\n",
       "Q 33.25 6.0625 36.671875 8.59375 \r\n",
       "Q 40.09375 11.140625 42.09375 16.703125 \r\n",
       "z\r\n",
       "M 13.234375 30.90625 \r\n",
       "L 42.1875 30.90625 \r\n",
       "Q 41.609375 37.453125 38.875 40.71875 \r\n",
       "Q 34.671875 45.796875 27.984375 45.796875 \r\n",
       "Q 21.921875 45.796875 17.796875 41.75 \r\n",
       "Q 13.671875 37.703125 13.234375 30.90625 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-101\"/>\r\n",
       "     </defs>\r\n",
       "     <g style=\"fill:#262626;\" transform=\"translate(171.732552 344.060937)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#ArialMT-109\"/>\r\n",
       "      <use x=\"83.300781\" xlink:href=\"#ArialMT-97\"/>\r\n",
       "      <use x=\"138.916016\" xlink:href=\"#ArialMT-103\"/>\r\n",
       "      <use x=\"194.53125\" xlink:href=\"#ArialMT-110\"/>\r\n",
       "      <use x=\"250.146484\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "      <use x=\"272.363281\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "      <use x=\"300.146484\" xlink:href=\"#ArialMT-117\"/>\r\n",
       "      <use x=\"355.761719\" xlink:href=\"#ArialMT-100\"/>\r\n",
       "      <use x=\"411.376953\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_8\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 25.321875 316.757812 \r\n",
       "L 364.838542 316.757812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(12.760938 320.336719)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_9\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 25.321875 278.611094 \r\n",
       "L 364.838542 278.611094 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_10\">\r\n",
       "      <!-- 5 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(12.760938 282.190001)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_10\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 25.321875 240.464376 \r\n",
       "L 364.838542 240.464376 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_11\">\r\n",
       "      <!-- 10 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 244.043282)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-49\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_11\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 25.321875 202.317658 \r\n",
       "L 364.838542 202.317658 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_12\">\r\n",
       "      <!-- 15 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 205.896564)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-49\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"line2d_12\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 25.321875 164.17094 \r\n",
       "L 364.838542 164.17094 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_13\">\r\n",
       "      <!-- 20 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 167.749846)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-50\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_6\">\r\n",
       "     <g id=\"line2d_13\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 25.321875 126.024222 \r\n",
       "L 364.838542 126.024222 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_14\">\r\n",
       "      <!-- 25 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 129.603128)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-50\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_7\">\r\n",
       "     <g id=\"line2d_14\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 25.321875 87.877504 \r\n",
       "L 364.838542 87.877504 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_15\">\r\n",
       "      <!-- 30 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 91.45641)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-51\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_8\">\r\n",
       "     <g id=\"line2d_15\">\r\n",
       "      <path clip-path=\"url(#pd221223060)\" d=\"M 25.321875 49.730785 \r\n",
       "L 364.838542 49.730785 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_16\">\r\n",
       "      <!-- 35 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 53.309692)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-51\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 40.754451 316.757812 \r\n",
       "L 49.077194 316.757812 \r\n",
       "L 49.077194 148.912253 \r\n",
       "L 40.754451 148.912253 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 49.077194 316.757812 \r\n",
       "L 57.399938 316.757812 \r\n",
       "L 57.399938 248.09372 \r\n",
       "L 49.077194 248.09372 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_5\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 57.399938 316.757812 \r\n",
       "L 65.722681 316.757812 \r\n",
       "L 65.722681 263.352407 \r\n",
       "L 57.399938 263.352407 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_6\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 65.722681 316.757812 \r\n",
       "L 74.045425 316.757812 \r\n",
       "L 74.045425 171.800284 \r\n",
       "L 65.722681 171.800284 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_7\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 74.045425 316.757812 \r\n",
       "L 82.368168 316.757812 \r\n",
       "L 82.368168 156.541596 \r\n",
       "L 74.045425 156.541596 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_8\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 82.368168 316.757812 \r\n",
       "L 90.690912 316.757812 \r\n",
       "L 90.690912 148.912253 \r\n",
       "L 82.368168 148.912253 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_9\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 90.690912 316.757812 \r\n",
       "L 99.013655 316.757812 \r\n",
       "L 99.013655 171.800284 \r\n",
       "L 90.690912 171.800284 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_10\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 99.013655 316.757812 \r\n",
       "L 107.336399 316.757812 \r\n",
       "L 107.336399 148.912253 \r\n",
       "L 99.013655 148.912253 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_11\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 107.336399 316.757812 \r\n",
       "L 115.659143 316.757812 \r\n",
       "L 115.659143 225.205689 \r\n",
       "L 107.336399 225.205689 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_12\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 115.659143 316.757812 \r\n",
       "L 123.981886 316.757812 \r\n",
       "L 123.981886 179.429627 \r\n",
       "L 115.659143 179.429627 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_13\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 123.981886 316.757812 \r\n",
       "L 132.30463 316.757812 \r\n",
       "L 132.30463 240.464376 \r\n",
       "L 123.981886 240.464376 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_14\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 132.30463 316.757812 \r\n",
       "L 140.627373 316.757812 \r\n",
       "L 140.627373 293.869782 \r\n",
       "L 132.30463 293.869782 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_15\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 140.627373 316.757812 \r\n",
       "L 148.950117 316.757812 \r\n",
       "L 148.950117 278.611094 \r\n",
       "L 140.627373 278.611094 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_16\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 148.950117 316.757812 \r\n",
       "L 157.27286 316.757812 \r\n",
       "L 157.27286 293.869782 \r\n",
       "L 148.950117 293.869782 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_17\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 157.27286 316.757812 \r\n",
       "L 165.595604 316.757812 \r\n",
       "L 165.595604 309.128469 \r\n",
       "L 157.27286 309.128469 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_18\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 165.595604 316.757812 \r\n",
       "L 173.918347 316.757812 \r\n",
       "L 173.918347 278.611094 \r\n",
       "L 165.595604 278.611094 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_19\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 173.918347 316.757812 \r\n",
       "L 182.241091 316.757812 \r\n",
       "L 182.241091 316.757812 \r\n",
       "L 173.918347 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_20\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 182.241091 316.757812 \r\n",
       "L 190.563834 316.757812 \r\n",
       "L 190.563834 316.757812 \r\n",
       "L 182.241091 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_21\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 190.563834 316.757812 \r\n",
       "L 198.886578 316.757812 \r\n",
       "L 198.886578 301.499125 \r\n",
       "L 190.563834 301.499125 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_22\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 198.886578 316.757812 \r\n",
       "L 207.209321 316.757812 \r\n",
       "L 207.209321 316.757812 \r\n",
       "L 198.886578 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_23\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 207.209321 316.757812 \r\n",
       "L 215.532065 316.757812 \r\n",
       "L 215.532065 316.757812 \r\n",
       "L 207.209321 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_24\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 215.532065 316.757812 \r\n",
       "L 223.854808 316.757812 \r\n",
       "L 223.854808 316.757812 \r\n",
       "L 215.532065 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_25\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 223.854808 316.757812 \r\n",
       "L 232.177552 316.757812 \r\n",
       "L 232.177552 301.499125 \r\n",
       "L 223.854808 301.499125 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_26\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 232.177552 316.757812 \r\n",
       "L 240.500295 316.757812 \r\n",
       "L 240.500295 316.757812 \r\n",
       "L 232.177552 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_27\">\r\n",
       "    <path clip-path=\"url(#pd221223060)\" d=\"M 240.500295 316.757812 \r\n",
       "L 248.823039 316.757812 \r\n",
       "L 248.823039 309.128469 \r\n",
       "L 240.500295 309.128469 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_28\">\r\n",
       "    <path d=\"M 25.321875 316.757812 \r\n",
       "L 25.321875 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_29\">\r\n",
       "    <path d=\"M 25.321875 316.757812 \r\n",
       "L 364.838542 316.757812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"text_17\">\r\n",
       "    <!-- bias = Center -->\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 14.703125 0 \r\n",
       "L 6.546875 0 \r\n",
       "L 6.546875 71.578125 \r\n",
       "L 15.328125 71.578125 \r\n",
       "L 15.328125 46.046875 \r\n",
       "Q 20.90625 53.03125 29.546875 53.03125 \r\n",
       "Q 34.328125 53.03125 38.59375 51.09375 \r\n",
       "Q 42.875 49.171875 45.625 45.671875 \r\n",
       "Q 48.390625 42.1875 49.953125 37.25 \r\n",
       "Q 51.515625 32.328125 51.515625 26.703125 \r\n",
       "Q 51.515625 13.375 44.921875 6.09375 \r\n",
       "Q 38.328125 -1.171875 29.109375 -1.171875 \r\n",
       "Q 19.921875 -1.171875 14.703125 6.5 \r\n",
       "z\r\n",
       "M 14.59375 26.3125 \r\n",
       "Q 14.59375 17 17.140625 12.84375 \r\n",
       "Q 21.296875 6.0625 28.375 6.0625 \r\n",
       "Q 34.125 6.0625 38.328125 11.0625 \r\n",
       "Q 42.53125 16.0625 42.53125 25.984375 \r\n",
       "Q 42.53125 36.140625 38.5 40.96875 \r\n",
       "Q 34.46875 45.796875 28.765625 45.796875 \r\n",
       "Q 23 45.796875 18.796875 40.796875 \r\n",
       "Q 14.59375 35.796875 14.59375 26.3125 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-98\"/>\r\n",
       "     <path d=\"M 3.078125 15.484375 \r\n",
       "L 11.765625 16.84375 \r\n",
       "Q 12.5 11.625 15.84375 8.84375 \r\n",
       "Q 19.1875 6.0625 25.203125 6.0625 \r\n",
       "Q 31.25 6.0625 34.171875 8.515625 \r\n",
       "Q 37.109375 10.984375 37.109375 14.3125 \r\n",
       "Q 37.109375 17.28125 34.515625 19 \r\n",
       "Q 32.71875 20.171875 25.53125 21.96875 \r\n",
       "Q 15.875 24.421875 12.140625 26.203125 \r\n",
       "Q 8.40625 27.984375 6.46875 31.125 \r\n",
       "Q 4.546875 34.28125 4.546875 38.09375 \r\n",
       "Q 4.546875 41.546875 6.125 44.5 \r\n",
       "Q 7.71875 47.46875 10.453125 49.421875 \r\n",
       "Q 12.5 50.921875 16.03125 51.96875 \r\n",
       "Q 19.578125 53.03125 23.640625 53.03125 \r\n",
       "Q 29.734375 53.03125 34.34375 51.265625 \r\n",
       "Q 38.96875 49.515625 41.15625 46.5 \r\n",
       "Q 43.359375 43.5 44.1875 38.484375 \r\n",
       "L 35.59375 37.3125 \r\n",
       "Q 35.015625 41.3125 32.203125 43.546875 \r\n",
       "Q 29.390625 45.796875 24.265625 45.796875 \r\n",
       "Q 18.21875 45.796875 15.625 43.796875 \r\n",
       "Q 13.03125 41.796875 13.03125 39.109375 \r\n",
       "Q 13.03125 37.40625 14.109375 36.03125 \r\n",
       "Q 15.1875 34.625 17.484375 33.6875 \r\n",
       "Q 18.796875 33.203125 25.25 31.453125 \r\n",
       "Q 34.578125 28.953125 38.25 27.359375 \r\n",
       "Q 41.9375 25.78125 44.03125 22.75 \r\n",
       "Q 46.140625 19.734375 46.140625 15.234375 \r\n",
       "Q 46.140625 10.84375 43.578125 6.953125 \r\n",
       "Q 41.015625 3.078125 36.171875 0.953125 \r\n",
       "Q 31.34375 -1.171875 25.25 -1.171875 \r\n",
       "Q 15.140625 -1.171875 9.84375 3.03125 \r\n",
       "Q 4.546875 7.234375 3.078125 15.484375 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-115\"/>\r\n",
       "     <path id=\"ArialMT-32\"/>\r\n",
       "     <path d=\"M 52.828125 42.09375 \r\n",
       "L 5.5625 42.09375 \r\n",
       "L 5.5625 50.296875 \r\n",
       "L 52.828125 50.296875 \r\n",
       "z\r\n",
       "M 52.828125 20.359375 \r\n",
       "L 5.5625 20.359375 \r\n",
       "L 5.5625 28.5625 \r\n",
       "L 52.828125 28.5625 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-61\"/>\r\n",
       "     <path d=\"M 58.796875 25.09375 \r\n",
       "L 68.265625 22.703125 \r\n",
       "Q 65.28125 11.03125 57.546875 4.90625 \r\n",
       "Q 49.8125 -1.21875 38.625 -1.21875 \r\n",
       "Q 27.046875 -1.21875 19.796875 3.484375 \r\n",
       "Q 12.546875 8.203125 8.765625 17.140625 \r\n",
       "Q 4.984375 26.078125 4.984375 36.328125 \r\n",
       "Q 4.984375 47.515625 9.25 55.828125 \r\n",
       "Q 13.53125 64.15625 21.40625 68.46875 \r\n",
       "Q 29.296875 72.796875 38.765625 72.796875 \r\n",
       "Q 49.515625 72.796875 56.828125 67.328125 \r\n",
       "Q 64.15625 61.859375 67.046875 51.953125 \r\n",
       "L 57.71875 49.75 \r\n",
       "Q 55.21875 57.5625 50.484375 61.125 \r\n",
       "Q 45.75 64.703125 38.578125 64.703125 \r\n",
       "Q 30.328125 64.703125 24.78125 60.734375 \r\n",
       "Q 19.234375 56.78125 16.984375 50.109375 \r\n",
       "Q 14.75 43.453125 14.75 36.375 \r\n",
       "Q 14.75 27.25 17.40625 20.4375 \r\n",
       "Q 20.0625 13.625 25.671875 10.25 \r\n",
       "Q 31.296875 6.890625 37.84375 6.890625 \r\n",
       "Q 45.796875 6.890625 51.3125 11.46875 \r\n",
       "Q 56.84375 16.0625 58.796875 25.09375 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-67\"/>\r\n",
       "     <path d=\"M 6.5 0 \r\n",
       "L 6.5 51.859375 \r\n",
       "L 14.40625 51.859375 \r\n",
       "L 14.40625 44 \r\n",
       "Q 17.4375 49.515625 20 51.265625 \r\n",
       "Q 22.5625 53.03125 25.640625 53.03125 \r\n",
       "Q 30.078125 53.03125 34.671875 50.203125 \r\n",
       "L 31.640625 42.046875 \r\n",
       "Q 28.421875 43.953125 25.203125 43.953125 \r\n",
       "Q 22.3125 43.953125 20.015625 42.21875 \r\n",
       "Q 17.71875 40.484375 16.75 37.40625 \r\n",
       "Q 15.28125 32.71875 15.28125 27.15625 \r\n",
       "L 15.28125 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-114\"/>\r\n",
       "    </defs>\r\n",
       "    <g style=\"fill:#262626;\" transform=\"translate(165.203646 14.357812)scale(0.1 -0.1)\">\r\n",
       "     <use xlink:href=\"#ArialMT-98\"/>\r\n",
       "     <use x=\"55.615234\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "     <use x=\"77.832031\" xlink:href=\"#ArialMT-97\"/>\r\n",
       "     <use x=\"133.447266\" xlink:href=\"#ArialMT-115\"/>\r\n",
       "     <use x=\"183.447266\" xlink:href=\"#ArialMT-32\"/>\r\n",
       "     <use x=\"211.230469\" xlink:href=\"#ArialMT-61\"/>\r\n",
       "     <use x=\"269.628906\" xlink:href=\"#ArialMT-32\"/>\r\n",
       "     <use x=\"297.412109\" xlink:href=\"#ArialMT-67\"/>\r\n",
       "     <use x=\"369.628906\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "     <use x=\"425.244141\" xlink:href=\"#ArialMT-110\"/>\r\n",
       "     <use x=\"480.859375\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "     <use x=\"508.642578\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "     <use x=\"564.257812\" xlink:href=\"#ArialMT-114\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_2\">\r\n",
       "   <g id=\"patch_30\">\r\n",
       "    <path d=\"M 375.638542 316.757812 \r\n",
       "L 715.155208 316.757812 \r\n",
       "L 715.155208 20.357812 \r\n",
       "L 375.638542 20.357812 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_3\">\r\n",
       "    <g id=\"xtick_8\">\r\n",
       "     <g id=\"line2d_16\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 389.591957 316.757812 \r\n",
       "L 389.591957 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_18\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(386.811488 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_9\">\r\n",
       "     <g id=\"line2d_17\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 438.897309 316.757812 \r\n",
       "L 438.897309 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_19\">\r\n",
       "      <!-- 10 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(433.336372 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-49\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_10\">\r\n",
       "     <g id=\"line2d_18\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 488.202662 316.757812 \r\n",
       "L 488.202662 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_20\">\r\n",
       "      <!-- 20 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(482.641725 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-50\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_11\">\r\n",
       "     <g id=\"line2d_19\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 537.508015 316.757812 \r\n",
       "L 537.508015 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_21\">\r\n",
       "      <!-- 30 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(531.947077 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-51\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_12\">\r\n",
       "     <g id=\"line2d_20\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 586.813367 316.757812 \r\n",
       "L 586.813367 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_22\">\r\n",
       "      <!-- 40 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(581.25243 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-52\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_13\">\r\n",
       "     <g id=\"line2d_21\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 636.11872 316.757812 \r\n",
       "L 636.11872 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_23\">\r\n",
       "      <!-- 50 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(630.557783 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-53\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_14\">\r\n",
       "     <g id=\"line2d_22\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 685.424073 316.757812 \r\n",
       "L 685.424073 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_24\">\r\n",
       "      <!-- 60 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(679.863135 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-54\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_25\">\r\n",
       "     <!-- magnitude -->\r\n",
       "     <g style=\"fill:#262626;\" transform=\"translate(522.049219 344.060937)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#ArialMT-109\"/>\r\n",
       "      <use x=\"83.300781\" xlink:href=\"#ArialMT-97\"/>\r\n",
       "      <use x=\"138.916016\" xlink:href=\"#ArialMT-103\"/>\r\n",
       "      <use x=\"194.53125\" xlink:href=\"#ArialMT-110\"/>\r\n",
       "      <use x=\"250.146484\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "      <use x=\"272.363281\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "      <use x=\"300.146484\" xlink:href=\"#ArialMT-117\"/>\r\n",
       "      <use x=\"355.761719\" xlink:href=\"#ArialMT-100\"/>\r\n",
       "      <use x=\"411.376953\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_4\">\r\n",
       "    <g id=\"ytick_9\">\r\n",
       "     <g id=\"line2d_23\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 375.638542 316.757812 \r\n",
       "L 715.155208 316.757812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_10\">\r\n",
       "     <g id=\"line2d_24\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 375.638542 278.611094 \r\n",
       "L 715.155208 278.611094 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_11\">\r\n",
       "     <g id=\"line2d_25\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 375.638542 240.464376 \r\n",
       "L 715.155208 240.464376 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_12\">\r\n",
       "     <g id=\"line2d_26\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 375.638542 202.317658 \r\n",
       "L 715.155208 202.317658 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_13\">\r\n",
       "     <g id=\"line2d_27\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 375.638542 164.17094 \r\n",
       "L 715.155208 164.17094 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_14\">\r\n",
       "     <g id=\"line2d_28\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 375.638542 126.024222 \r\n",
       "L 715.155208 126.024222 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_15\">\r\n",
       "     <g id=\"line2d_29\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 375.638542 87.877504 \r\n",
       "L 715.155208 87.877504 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_16\">\r\n",
       "     <g id=\"line2d_30\">\r\n",
       "      <path clip-path=\"url(#p9e046cf056)\" d=\"M 375.638542 49.730785 \r\n",
       "L 715.155208 49.730785 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_31\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 394.522492 316.757812 \r\n",
       "L 402.766347 316.757812 \r\n",
       "L 402.766347 248.09372 \r\n",
       "L 394.522492 248.09372 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_32\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 402.766347 316.757812 \r\n",
       "L 411.010202 316.757812 \r\n",
       "L 411.010202 118.394878 \r\n",
       "L 402.766347 118.394878 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_33\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 411.010202 316.757812 \r\n",
       "L 419.254056 316.757812 \r\n",
       "L 419.254056 110.765535 \r\n",
       "L 411.010202 110.765535 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_34\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 419.254056 316.757812 \r\n",
       "L 427.497911 316.757812 \r\n",
       "L 427.497911 141.282909 \r\n",
       "L 419.254056 141.282909 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_35\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 427.497911 316.757812 \r\n",
       "L 435.741766 316.757812 \r\n",
       "L 435.741766 34.472098 \r\n",
       "L 427.497911 34.472098 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_36\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 435.741766 316.757812 \r\n",
       "L 443.985621 316.757812 \r\n",
       "L 443.985621 164.17094 \r\n",
       "L 435.741766 164.17094 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_37\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 443.985621 316.757812 \r\n",
       "L 452.229476 316.757812 \r\n",
       "L 452.229476 133.653565 \r\n",
       "L 443.985621 133.653565 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_38\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 452.229476 316.757812 \r\n",
       "L 460.473331 316.757812 \r\n",
       "L 460.473331 209.947002 \r\n",
       "L 452.229476 209.947002 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_39\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 460.473331 316.757812 \r\n",
       "L 468.717185 316.757812 \r\n",
       "L 468.717185 248.09372 \r\n",
       "L 460.473331 248.09372 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_40\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 468.717185 316.757812 \r\n",
       "L 476.96104 316.757812 \r\n",
       "L 476.96104 278.611094 \r\n",
       "L 468.717185 278.611094 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_41\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 476.96104 316.757812 \r\n",
       "L 485.204895 316.757812 \r\n",
       "L 485.204895 255.723063 \r\n",
       "L 476.96104 255.723063 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_42\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 485.204895 316.757812 \r\n",
       "L 493.44875 316.757812 \r\n",
       "L 493.44875 278.611094 \r\n",
       "L 485.204895 278.611094 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_43\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 493.44875 316.757812 \r\n",
       "L 501.692605 316.757812 \r\n",
       "L 501.692605 217.576345 \r\n",
       "L 493.44875 217.576345 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_44\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 501.692605 316.757812 \r\n",
       "L 509.936459 316.757812 \r\n",
       "L 509.936459 293.869782 \r\n",
       "L 501.692605 293.869782 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_45\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 509.936459 316.757812 \r\n",
       "L 518.180314 316.757812 \r\n",
       "L 518.180314 286.240438 \r\n",
       "L 509.936459 286.240438 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_46\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 518.180314 316.757812 \r\n",
       "L 526.424169 316.757812 \r\n",
       "L 526.424169 286.240438 \r\n",
       "L 518.180314 286.240438 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_47\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 526.424169 316.757812 \r\n",
       "L 534.668024 316.757812 \r\n",
       "L 534.668024 293.869782 \r\n",
       "L 526.424169 293.869782 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_48\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 534.668024 316.757812 \r\n",
       "L 542.911879 316.757812 \r\n",
       "L 542.911879 301.499125 \r\n",
       "L 534.668024 301.499125 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_49\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 542.911879 316.757812 \r\n",
       "L 551.155734 316.757812 \r\n",
       "L 551.155734 286.240438 \r\n",
       "L 542.911879 286.240438 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_50\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 551.155734 316.757812 \r\n",
       "L 559.399588 316.757812 \r\n",
       "L 559.399588 278.611094 \r\n",
       "L 551.155734 278.611094 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_51\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 559.399588 316.757812 \r\n",
       "L 567.643443 316.757812 \r\n",
       "L 567.643443 316.757812 \r\n",
       "L 559.399588 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_52\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 567.643443 316.757812 \r\n",
       "L 575.887298 316.757812 \r\n",
       "L 575.887298 286.240438 \r\n",
       "L 567.643443 286.240438 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_53\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 575.887298 316.757812 \r\n",
       "L 584.131153 316.757812 \r\n",
       "L 584.131153 316.757812 \r\n",
       "L 575.887298 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_54\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 584.131153 316.757812 \r\n",
       "L 592.375008 316.757812 \r\n",
       "L 592.375008 316.757812 \r\n",
       "L 584.131153 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_55\">\r\n",
       "    <path clip-path=\"url(#p9e046cf056)\" d=\"M 592.375008 316.757812 \r\n",
       "L 600.618862 316.757812 \r\n",
       "L 600.618862 309.128469 \r\n",
       "L 592.375008 309.128469 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_56\">\r\n",
       "    <path d=\"M 375.638542 316.757812 \r\n",
       "L 375.638542 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_57\">\r\n",
       "    <path d=\"M 375.638542 316.757812 \r\n",
       "L 715.155208 316.757812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"text_26\">\r\n",
       "    <!-- bias = Right -->\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 7.859375 0 \r\n",
       "L 7.859375 71.578125 \r\n",
       "L 39.59375 71.578125 \r\n",
       "Q 49.171875 71.578125 54.140625 69.640625 \r\n",
       "Q 59.125 67.71875 62.109375 62.828125 \r\n",
       "Q 65.09375 57.953125 65.09375 52.046875 \r\n",
       "Q 65.09375 44.4375 60.15625 39.203125 \r\n",
       "Q 55.21875 33.984375 44.921875 32.5625 \r\n",
       "Q 48.6875 30.765625 50.640625 29 \r\n",
       "Q 54.78125 25.203125 58.5 19.484375 \r\n",
       "L 70.953125 0 \r\n",
       "L 59.03125 0 \r\n",
       "L 49.5625 14.890625 \r\n",
       "Q 45.40625 21.34375 42.71875 24.75 \r\n",
       "Q 40.046875 28.171875 37.921875 29.53125 \r\n",
       "Q 35.796875 30.90625 33.59375 31.453125 \r\n",
       "Q 31.984375 31.78125 28.328125 31.78125 \r\n",
       "L 17.328125 31.78125 \r\n",
       "L 17.328125 0 \r\n",
       "z\r\n",
       "M 17.328125 39.984375 \r\n",
       "L 37.703125 39.984375 \r\n",
       "Q 44.1875 39.984375 47.84375 41.328125 \r\n",
       "Q 51.515625 42.671875 53.421875 45.625 \r\n",
       "Q 55.328125 48.578125 55.328125 52.046875 \r\n",
       "Q 55.328125 57.125 51.640625 60.390625 \r\n",
       "Q 47.953125 63.671875 39.984375 63.671875 \r\n",
       "L 17.328125 63.671875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-82\"/>\r\n",
       "     <path d=\"M 6.59375 0 \r\n",
       "L 6.59375 71.578125 \r\n",
       "L 15.375 71.578125 \r\n",
       "L 15.375 45.90625 \r\n",
       "Q 21.53125 53.03125 30.90625 53.03125 \r\n",
       "Q 36.671875 53.03125 40.921875 50.75 \r\n",
       "Q 45.171875 48.484375 47 44.484375 \r\n",
       "Q 48.828125 40.484375 48.828125 32.859375 \r\n",
       "L 48.828125 0 \r\n",
       "L 40.046875 0 \r\n",
       "L 40.046875 32.859375 \r\n",
       "Q 40.046875 39.453125 37.1875 42.453125 \r\n",
       "Q 34.328125 45.453125 29.109375 45.453125 \r\n",
       "Q 25.203125 45.453125 21.75 43.421875 \r\n",
       "Q 18.3125 41.40625 16.84375 37.9375 \r\n",
       "Q 15.375 34.46875 15.375 28.375 \r\n",
       "L 15.375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-104\"/>\r\n",
       "    </defs>\r\n",
       "    <g style=\"fill:#262626;\" transform=\"translate(518.854687 14.357812)scale(0.1 -0.1)\">\r\n",
       "     <use xlink:href=\"#ArialMT-98\"/>\r\n",
       "     <use x=\"55.615234\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "     <use x=\"77.832031\" xlink:href=\"#ArialMT-97\"/>\r\n",
       "     <use x=\"133.447266\" xlink:href=\"#ArialMT-115\"/>\r\n",
       "     <use x=\"183.447266\" xlink:href=\"#ArialMT-32\"/>\r\n",
       "     <use x=\"211.230469\" xlink:href=\"#ArialMT-61\"/>\r\n",
       "     <use x=\"269.628906\" xlink:href=\"#ArialMT-32\"/>\r\n",
       "     <use x=\"297.412109\" xlink:href=\"#ArialMT-82\"/>\r\n",
       "     <use x=\"369.628906\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "     <use x=\"391.845703\" xlink:href=\"#ArialMT-103\"/>\r\n",
       "     <use x=\"447.460938\" xlink:href=\"#ArialMT-104\"/>\r\n",
       "     <use x=\"503.076172\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_3\">\r\n",
       "   <g id=\"patch_58\">\r\n",
       "    <path d=\"M 725.955208 316.757812 \r\n",
       "L 1065.471875 316.757812 \r\n",
       "L 1065.471875 20.357812 \r\n",
       "L 725.955208 20.357812 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_5\">\r\n",
       "    <g id=\"xtick_15\">\r\n",
       "     <g id=\"line2d_31\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 739.908623 316.757812 \r\n",
       "L 739.908623 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_27\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(737.128155 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_16\">\r\n",
       "     <g id=\"line2d_32\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 789.213976 316.757812 \r\n",
       "L 789.213976 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_28\">\r\n",
       "      <!-- 10 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(783.653039 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-49\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_17\">\r\n",
       "     <g id=\"line2d_33\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 838.519329 316.757812 \r\n",
       "L 838.519329 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_29\">\r\n",
       "      <!-- 20 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(832.958391 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-50\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_18\">\r\n",
       "     <g id=\"line2d_34\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 887.824681 316.757812 \r\n",
       "L 887.824681 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_30\">\r\n",
       "      <!-- 30 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(882.263744 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-51\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_19\">\r\n",
       "     <g id=\"line2d_35\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 937.130034 316.757812 \r\n",
       "L 937.130034 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_31\">\r\n",
       "      <!-- 40 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(931.569097 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-52\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_20\">\r\n",
       "     <g id=\"line2d_36\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 986.435387 316.757812 \r\n",
       "L 986.435387 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_32\">\r\n",
       "      <!-- 50 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(980.874449 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-53\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_21\">\r\n",
       "     <g id=\"line2d_37\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 1035.740739 316.757812 \r\n",
       "L 1035.740739 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_33\">\r\n",
       "      <!-- 60 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(1030.179802 330.915625)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-54\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_34\">\r\n",
       "     <!-- magnitude -->\r\n",
       "     <g style=\"fill:#262626;\" transform=\"translate(872.365885 344.060937)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#ArialMT-109\"/>\r\n",
       "      <use x=\"83.300781\" xlink:href=\"#ArialMT-97\"/>\r\n",
       "      <use x=\"138.916016\" xlink:href=\"#ArialMT-103\"/>\r\n",
       "      <use x=\"194.53125\" xlink:href=\"#ArialMT-110\"/>\r\n",
       "      <use x=\"250.146484\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "      <use x=\"272.363281\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "      <use x=\"300.146484\" xlink:href=\"#ArialMT-117\"/>\r\n",
       "      <use x=\"355.761719\" xlink:href=\"#ArialMT-100\"/>\r\n",
       "      <use x=\"411.376953\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_6\">\r\n",
       "    <g id=\"ytick_17\">\r\n",
       "     <g id=\"line2d_38\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 725.955208 316.757812 \r\n",
       "L 1065.471875 316.757812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_18\">\r\n",
       "     <g id=\"line2d_39\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 725.955208 278.611094 \r\n",
       "L 1065.471875 278.611094 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_19\">\r\n",
       "     <g id=\"line2d_40\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 725.955208 240.464376 \r\n",
       "L 1065.471875 240.464376 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_20\">\r\n",
       "     <g id=\"line2d_41\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 725.955208 202.317658 \r\n",
       "L 1065.471875 202.317658 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_21\">\r\n",
       "     <g id=\"line2d_42\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 725.955208 164.17094 \r\n",
       "L 1065.471875 164.17094 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_22\">\r\n",
       "     <g id=\"line2d_43\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 725.955208 126.024222 \r\n",
       "L 1065.471875 126.024222 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_23\">\r\n",
       "     <g id=\"line2d_44\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 725.955208 87.877504 \r\n",
       "L 1065.471875 87.877504 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_24\">\r\n",
       "     <g id=\"line2d_45\">\r\n",
       "      <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 725.955208 49.730785 \r\n",
       "L 1065.471875 49.730785 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_59\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 746.811373 316.757812 \r\n",
       "L 758.94049 316.757812 \r\n",
       "L 758.94049 87.877504 \r\n",
       "L 746.811373 87.877504 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_60\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 758.94049 316.757812 \r\n",
       "L 771.069607 316.757812 \r\n",
       "L 771.069607 126.024222 \r\n",
       "L 758.94049 126.024222 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_61\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 771.069607 316.757812 \r\n",
       "L 783.198724 316.757812 \r\n",
       "L 783.198724 126.024222 \r\n",
       "L 771.069607 126.024222 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_62\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 783.198724 316.757812 \r\n",
       "L 795.327841 316.757812 \r\n",
       "L 795.327841 240.464376 \r\n",
       "L 783.198724 240.464376 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_63\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 795.327841 316.757812 \r\n",
       "L 807.456958 316.757812 \r\n",
       "L 807.456958 164.17094 \r\n",
       "L 795.327841 164.17094 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_64\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 807.456958 316.757812 \r\n",
       "L 819.586075 316.757812 \r\n",
       "L 819.586075 187.058971 \r\n",
       "L 807.456958 187.058971 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_65\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 819.586075 316.757812 \r\n",
       "L 831.715192 316.757812 \r\n",
       "L 831.715192 179.429627 \r\n",
       "L 819.586075 179.429627 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_66\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 831.715192 316.757812 \r\n",
       "L 843.844309 316.757812 \r\n",
       "L 843.844309 240.464376 \r\n",
       "L 831.715192 240.464376 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_67\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 843.844309 316.757812 \r\n",
       "L 855.973426 316.757812 \r\n",
       "L 855.973426 164.17094 \r\n",
       "L 843.844309 164.17094 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_68\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 855.973426 316.757812 \r\n",
       "L 868.102543 316.757812 \r\n",
       "L 868.102543 194.688314 \r\n",
       "L 855.973426 194.688314 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_69\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 868.102543 316.757812 \r\n",
       "L 880.23166 316.757812 \r\n",
       "L 880.23166 240.464376 \r\n",
       "L 868.102543 240.464376 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_70\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 880.23166 316.757812 \r\n",
       "L 892.360777 316.757812 \r\n",
       "L 892.360777 263.352407 \r\n",
       "L 880.23166 263.352407 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_71\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 892.360777 316.757812 \r\n",
       "L 904.489895 316.757812 \r\n",
       "L 904.489895 255.723063 \r\n",
       "L 892.360777 255.723063 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_72\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 904.489895 316.757812 \r\n",
       "L 916.619012 316.757812 \r\n",
       "L 916.619012 286.240438 \r\n",
       "L 904.489895 286.240438 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_73\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 916.619012 316.757812 \r\n",
       "L 928.748129 316.757812 \r\n",
       "L 928.748129 240.464376 \r\n",
       "L 916.619012 240.464376 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_74\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 928.748129 316.757812 \r\n",
       "L 940.877246 316.757812 \r\n",
       "L 940.877246 278.611094 \r\n",
       "L 928.748129 278.611094 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_75\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 940.877246 316.757812 \r\n",
       "L 953.006363 316.757812 \r\n",
       "L 953.006363 316.757812 \r\n",
       "L 940.877246 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_76\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 953.006363 316.757812 \r\n",
       "L 965.13548 316.757812 \r\n",
       "L 965.13548 301.499125 \r\n",
       "L 953.006363 301.499125 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_77\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 965.13548 316.757812 \r\n",
       "L 977.264597 316.757812 \r\n",
       "L 977.264597 316.757812 \r\n",
       "L 965.13548 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_78\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 977.264597 316.757812 \r\n",
       "L 989.393714 316.757812 \r\n",
       "L 989.393714 301.499125 \r\n",
       "L 977.264597 301.499125 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_79\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 989.393714 316.757812 \r\n",
       "L 1001.522831 316.757812 \r\n",
       "L 1001.522831 316.757812 \r\n",
       "L 989.393714 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_80\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 1001.522831 316.757812 \r\n",
       "L 1013.651948 316.757812 \r\n",
       "L 1013.651948 316.757812 \r\n",
       "L 1001.522831 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_81\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 1013.651948 316.757812 \r\n",
       "L 1025.781065 316.757812 \r\n",
       "L 1025.781065 316.757812 \r\n",
       "L 1013.651948 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_82\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 1025.781065 316.757812 \r\n",
       "L 1037.910182 316.757812 \r\n",
       "L 1037.910182 316.757812 \r\n",
       "L 1025.781065 316.757812 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_83\">\r\n",
       "    <path clip-path=\"url(#p1336a0b1ea)\" d=\"M 1037.910182 316.757812 \r\n",
       "L 1050.039299 316.757812 \r\n",
       "L 1050.039299 293.869782 \r\n",
       "L 1037.910182 293.869782 \r\n",
       "z\r\n",
       "\" style=\"fill:#1f77b4;stroke:#ffffff;stroke-linejoin:miter;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_84\">\r\n",
       "    <path d=\"M 725.955208 316.757812 \r\n",
       "L 725.955208 20.357812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_85\">\r\n",
       "    <path d=\"M 725.955208 316.757812 \r\n",
       "L 1065.471875 316.757812 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"text_35\">\r\n",
       "    <!-- bias = Left -->\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 7.328125 0 \r\n",
       "L 7.328125 71.578125 \r\n",
       "L 16.796875 71.578125 \r\n",
       "L 16.796875 8.453125 \r\n",
       "L 52.046875 8.453125 \r\n",
       "L 52.046875 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-76\"/>\r\n",
       "     <path d=\"M 8.6875 0 \r\n",
       "L 8.6875 45.015625 \r\n",
       "L 0.921875 45.015625 \r\n",
       "L 0.921875 51.859375 \r\n",
       "L 8.6875 51.859375 \r\n",
       "L 8.6875 57.375 \r\n",
       "Q 8.6875 62.59375 9.625 65.140625 \r\n",
       "Q 10.890625 68.5625 14.078125 70.671875 \r\n",
       "Q 17.28125 72.796875 23.046875 72.796875 \r\n",
       "Q 26.765625 72.796875 31.25 71.921875 \r\n",
       "L 29.9375 64.265625 \r\n",
       "Q 27.203125 64.75 24.75 64.75 \r\n",
       "Q 20.75 64.75 19.09375 63.03125 \r\n",
       "Q 17.4375 61.328125 17.4375 56.640625 \r\n",
       "L 17.4375 51.859375 \r\n",
       "L 27.546875 51.859375 \r\n",
       "L 27.546875 45.015625 \r\n",
       "L 17.4375 45.015625 \r\n",
       "L 17.4375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-102\"/>\r\n",
       "    </defs>\r\n",
       "    <g style=\"fill:#262626;\" transform=\"translate(872.504167 14.357812)scale(0.1 -0.1)\">\r\n",
       "     <use xlink:href=\"#ArialMT-98\"/>\r\n",
       "     <use x=\"55.615234\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "     <use x=\"77.832031\" xlink:href=\"#ArialMT-97\"/>\r\n",
       "     <use x=\"133.447266\" xlink:href=\"#ArialMT-115\"/>\r\n",
       "     <use x=\"183.447266\" xlink:href=\"#ArialMT-32\"/>\r\n",
       "     <use x=\"211.230469\" xlink:href=\"#ArialMT-61\"/>\r\n",
       "     <use x=\"269.628906\" xlink:href=\"#ArialMT-32\"/>\r\n",
       "     <use x=\"297.412109\" xlink:href=\"#ArialMT-76\"/>\r\n",
       "     <use x=\"353.027344\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "     <use x=\"408.642578\" xlink:href=\"#ArialMT-102\"/>\r\n",
       "     <use x=\"436.425781\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"pd221223060\">\r\n",
       "   <rect height=\"296.4\" width=\"339.516667\" x=\"25.321875\" y=\"20.357812\"/>\r\n",
       "  </clipPath>\r\n",
       "  <clipPath id=\"p9e046cf056\">\r\n",
       "   <rect height=\"296.4\" width=\"339.516667\" x=\"375.638542\" y=\"20.357812\"/>\r\n",
       "  </clipPath>\r\n",
       "  <clipPath id=\"p1336a0b1ea\">\r\n",
       "   <rect height=\"296.4\" width=\"339.516667\" x=\"725.955208\" y=\"20.357812\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ],
      "text/plain": [
       "<Figure size 1080x360 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new.to_csv('news-corpus-df-sent.csv', sep='\\t', encoding='utf-8')\n",
    "\n",
    "# convert bias numbers to labels\n",
    "new['bias'] = new['bias'].replace({1: 'Left', 2: 'Center', 3: 'Right'})\n",
    "sns.set_style('whitegrid')\n",
    "# visualize sentiment in relation to bias\n",
    "\n",
    "g = sns.FacetGrid(data=new, col='bias', col_wrap= 3, size=5 )\n",
    "g.map(plt.hist, 'magnitude', bins=25)\n",
    "plt.savefig('histogram.png', bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see from the data, all of the data sets have a right-skew distribution; however, the skew appears to be greater for left-leaning articles. The tails also appear to be fatter. (which means there is a greater distribution of high-emotion articles in the tails) I haven't measured the tails using kurtosis; however, we're not exactly dealing with a normal distribution so it's irrelevant.\n",
    "\n",
    "A higher degree of emotional content on left-leaning articles is indicative of probably two things:\n",
    "\n",
    "- Articles from left-leaning sources are needlessly verbose.\n",
    "\n",
    "- Writers for these outlets tend to interject their emotions into articles they're writing.\n",
    "\n",
    "#### Box and Whiskers Plot\n",
    "\n",
    "Although, this information is a little harder to convey on a histogram. It can be seen more clearly on a box and whiskers plot.\n",
    "\n",
    "The distribution (as well as the skew) are more apparent when presented in the form of a box and whiskers plot. I've also presented the data to show where the outliers are. In order to determine which observations in distribution would be considered an outlier, we need to find something that is called the **Interquartile Range**.\n",
    "\n",
    "The **interquartile range** or (IQR) measures where the median of the dataset should be. While the range is the measure of the highest and lowest values (visible where the \"whiskers\" are found), the interquartile range is the range where the bulk of the values lie. It's usually preferred as a measurement of spread when reporting values such as SAT scores.\n",
    "\n",
    "The IQR can be found by finding the difference between Q3 and Q1:\n",
    "\n",
    "$$IQR=Q3-Q1$$\n",
    "\n",
    "![](https://kidquant.com/post/images/Analyzing-News/topics-allsides9.PNG)\n",
    "\n",
    "Once we have found the IQR for each dataset, we now need to calculate the lower and upper bounds. The lower bounds can be found by taking Q1 and subtracting by 1.5 times the IQR. The upper bound can be found using the same way, except we are using addition instead of subtraction. To bring this explanation in perspective, I'm going to use a few statistics for right-leaning sources.\n",
    "\n",
    "For example, articles published from right-leaning sources have an average magnitude of ~12.27; the first, second, and third quartile is 6.3, 9.5, and 15, respectively. This means that the IQR is ~8.3 (15 - 6.3). If we take the same 8.7, multiply it by 1.5 and then subtract it from Q1 (6.3-8.3 * 1.5), you'll end up with a lower bound of -5.75. We will never have an observation BELOW this threshold because the lowest magnitude score an article can hold is 0.\n",
    "\n",
    "The best part about conducting this analysis in python is that we don't need to calculate this ourselves; the `seaborn` module will do it all for us."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x19d07c81688>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n",
       "<svg height=\"369.967812pt\" version=\"1.1\" viewBox=\"0 0 715.384375 369.967812\" width=\"715.384375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 369.967812 \r\n",
       "L 715.384375 369.967812 \r\n",
       "L 715.384375 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 38.584375 333.36 \r\n",
       "L 708.184375 333.36 \r\n",
       "L 708.184375 7.2 \r\n",
       "L 38.584375 7.2 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\">\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- Center -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 58.796875 25.09375 \r\n",
       "L 68.265625 22.703125 \r\n",
       "Q 65.28125 11.03125 57.546875 4.90625 \r\n",
       "Q 49.8125 -1.21875 38.625 -1.21875 \r\n",
       "Q 27.046875 -1.21875 19.796875 3.484375 \r\n",
       "Q 12.546875 8.203125 8.765625 17.140625 \r\n",
       "Q 4.984375 26.078125 4.984375 36.328125 \r\n",
       "Q 4.984375 47.515625 9.25 55.828125 \r\n",
       "Q 13.53125 64.15625 21.40625 68.46875 \r\n",
       "Q 29.296875 72.796875 38.765625 72.796875 \r\n",
       "Q 49.515625 72.796875 56.828125 67.328125 \r\n",
       "Q 64.15625 61.859375 67.046875 51.953125 \r\n",
       "L 57.71875 49.75 \r\n",
       "Q 55.21875 57.5625 50.484375 61.125 \r\n",
       "Q 45.75 64.703125 38.578125 64.703125 \r\n",
       "Q 30.328125 64.703125 24.78125 60.734375 \r\n",
       "Q 19.234375 56.78125 16.984375 50.109375 \r\n",
       "Q 14.75 43.453125 14.75 36.375 \r\n",
       "Q 14.75 27.25 17.40625 20.4375 \r\n",
       "Q 20.0625 13.625 25.671875 10.25 \r\n",
       "Q 31.296875 6.890625 37.84375 6.890625 \r\n",
       "Q 45.796875 6.890625 51.3125 11.46875 \r\n",
       "Q 56.84375 16.0625 58.796875 25.09375 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-67\"/>\r\n",
       "       <path d=\"M 42.09375 16.703125 \r\n",
       "L 51.171875 15.578125 \r\n",
       "Q 49.03125 7.625 43.21875 3.21875 \r\n",
       "Q 37.40625 -1.171875 28.375 -1.171875 \r\n",
       "Q 17 -1.171875 10.328125 5.828125 \r\n",
       "Q 3.65625 12.84375 3.65625 25.484375 \r\n",
       "Q 3.65625 38.578125 10.390625 45.796875 \r\n",
       "Q 17.140625 53.03125 27.875 53.03125 \r\n",
       "Q 38.28125 53.03125 44.875 45.953125 \r\n",
       "Q 51.46875 38.875 51.46875 26.03125 \r\n",
       "Q 51.46875 25.25 51.421875 23.6875 \r\n",
       "L 12.75 23.6875 \r\n",
       "Q 13.234375 15.140625 17.578125 10.59375 \r\n",
       "Q 21.921875 6.0625 28.421875 6.0625 \r\n",
       "Q 33.25 6.0625 36.671875 8.59375 \r\n",
       "Q 40.09375 11.140625 42.09375 16.703125 \r\n",
       "z\r\n",
       "M 13.234375 30.90625 \r\n",
       "L 42.1875 30.90625 \r\n",
       "Q 41.609375 37.453125 38.875 40.71875 \r\n",
       "Q 34.671875 45.796875 27.984375 45.796875 \r\n",
       "Q 21.921875 45.796875 17.796875 41.75 \r\n",
       "Q 13.671875 37.703125 13.234375 30.90625 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-101\"/>\r\n",
       "       <path d=\"M 6.59375 0 \r\n",
       "L 6.59375 51.859375 \r\n",
       "L 14.5 51.859375 \r\n",
       "L 14.5 44.484375 \r\n",
       "Q 20.21875 53.03125 31 53.03125 \r\n",
       "Q 35.6875 53.03125 39.625 51.34375 \r\n",
       "Q 43.5625 49.65625 45.515625 46.921875 \r\n",
       "Q 47.46875 44.1875 48.25 40.4375 \r\n",
       "Q 48.734375 37.984375 48.734375 31.890625 \r\n",
       "L 48.734375 0 \r\n",
       "L 39.9375 0 \r\n",
       "L 39.9375 31.546875 \r\n",
       "Q 39.9375 36.921875 38.90625 39.578125 \r\n",
       "Q 37.890625 42.234375 35.28125 43.8125 \r\n",
       "Q 32.671875 45.40625 29.15625 45.40625 \r\n",
       "Q 23.53125 45.40625 19.453125 41.84375 \r\n",
       "Q 15.375 38.28125 15.375 28.328125 \r\n",
       "L 15.375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-110\"/>\r\n",
       "       <path d=\"M 25.78125 7.859375 \r\n",
       "L 27.046875 0.09375 \r\n",
       "Q 23.34375 -0.6875 20.40625 -0.6875 \r\n",
       "Q 15.625 -0.6875 12.984375 0.828125 \r\n",
       "Q 10.359375 2.34375 9.28125 4.8125 \r\n",
       "Q 8.203125 7.28125 8.203125 15.1875 \r\n",
       "L 8.203125 45.015625 \r\n",
       "L 1.765625 45.015625 \r\n",
       "L 1.765625 51.859375 \r\n",
       "L 8.203125 51.859375 \r\n",
       "L 8.203125 64.703125 \r\n",
       "L 16.9375 69.96875 \r\n",
       "L 16.9375 51.859375 \r\n",
       "L 25.78125 51.859375 \r\n",
       "L 25.78125 45.015625 \r\n",
       "L 16.9375 45.015625 \r\n",
       "L 16.9375 14.703125 \r\n",
       "Q 16.9375 10.9375 17.40625 9.859375 \r\n",
       "Q 17.875 8.796875 18.921875 8.15625 \r\n",
       "Q 19.96875 7.515625 21.921875 7.515625 \r\n",
       "Q 23.390625 7.515625 25.78125 7.859375 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-116\"/>\r\n",
       "       <path d=\"M 6.5 0 \r\n",
       "L 6.5 51.859375 \r\n",
       "L 14.40625 51.859375 \r\n",
       "L 14.40625 44 \r\n",
       "Q 17.4375 49.515625 20 51.265625 \r\n",
       "Q 22.5625 53.03125 25.640625 53.03125 \r\n",
       "Q 30.078125 53.03125 34.671875 50.203125 \r\n",
       "L 31.640625 42.046875 \r\n",
       "Q 28.421875 43.953125 25.203125 43.953125 \r\n",
       "Q 22.3125 43.953125 20.015625 42.21875 \r\n",
       "Q 17.71875 40.484375 16.75 37.40625 \r\n",
       "Q 15.28125 32.71875 15.28125 27.15625 \r\n",
       "L 15.28125 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-114\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(135.178125 347.517812)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-67\"/>\r\n",
       "       <use x=\"72.216797\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "       <use x=\"127.832031\" xlink:href=\"#ArialMT-110\"/>\r\n",
       "       <use x=\"183.447266\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "       <use x=\"211.230469\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "       <use x=\"266.845703\" xlink:href=\"#ArialMT-114\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_2\">\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- Right -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 7.859375 0 \r\n",
       "L 7.859375 71.578125 \r\n",
       "L 39.59375 71.578125 \r\n",
       "Q 49.171875 71.578125 54.140625 69.640625 \r\n",
       "Q 59.125 67.71875 62.109375 62.828125 \r\n",
       "Q 65.09375 57.953125 65.09375 52.046875 \r\n",
       "Q 65.09375 44.4375 60.15625 39.203125 \r\n",
       "Q 55.21875 33.984375 44.921875 32.5625 \r\n",
       "Q 48.6875 30.765625 50.640625 29 \r\n",
       "Q 54.78125 25.203125 58.5 19.484375 \r\n",
       "L 70.953125 0 \r\n",
       "L 59.03125 0 \r\n",
       "L 49.5625 14.890625 \r\n",
       "Q 45.40625 21.34375 42.71875 24.75 \r\n",
       "Q 40.046875 28.171875 37.921875 29.53125 \r\n",
       "Q 35.796875 30.90625 33.59375 31.453125 \r\n",
       "Q 31.984375 31.78125 28.328125 31.78125 \r\n",
       "L 17.328125 31.78125 \r\n",
       "L 17.328125 0 \r\n",
       "z\r\n",
       "M 17.328125 39.984375 \r\n",
       "L 37.703125 39.984375 \r\n",
       "Q 44.1875 39.984375 47.84375 41.328125 \r\n",
       "Q 51.515625 42.671875 53.421875 45.625 \r\n",
       "Q 55.328125 48.578125 55.328125 52.046875 \r\n",
       "Q 55.328125 57.125 51.640625 60.390625 \r\n",
       "Q 47.953125 63.671875 39.984375 63.671875 \r\n",
       "L 17.328125 63.671875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-82\"/>\r\n",
       "       <path d=\"M 6.640625 61.46875 \r\n",
       "L 6.640625 71.578125 \r\n",
       "L 15.4375 71.578125 \r\n",
       "L 15.4375 61.46875 \r\n",
       "z\r\n",
       "M 6.640625 0 \r\n",
       "L 6.640625 51.859375 \r\n",
       "L 15.4375 51.859375 \r\n",
       "L 15.4375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-105\"/>\r\n",
       "       <path d=\"M 4.984375 -4.296875 \r\n",
       "L 13.53125 -5.5625 \r\n",
       "Q 14.0625 -9.515625 16.5 -11.328125 \r\n",
       "Q 19.78125 -13.765625 25.4375 -13.765625 \r\n",
       "Q 31.546875 -13.765625 34.859375 -11.328125 \r\n",
       "Q 38.1875 -8.890625 39.359375 -4.5 \r\n",
       "Q 40.046875 -1.8125 39.984375 6.78125 \r\n",
       "Q 34.234375 0 25.640625 0 \r\n",
       "Q 14.9375 0 9.078125 7.71875 \r\n",
       "Q 3.21875 15.4375 3.21875 26.21875 \r\n",
       "Q 3.21875 33.640625 5.90625 39.90625 \r\n",
       "Q 8.59375 46.1875 13.6875 49.609375 \r\n",
       "Q 18.796875 53.03125 25.6875 53.03125 \r\n",
       "Q 34.859375 53.03125 40.828125 45.609375 \r\n",
       "L 40.828125 51.859375 \r\n",
       "L 48.921875 51.859375 \r\n",
       "L 48.921875 7.03125 \r\n",
       "Q 48.921875 -5.078125 46.453125 -10.125 \r\n",
       "Q 44 -15.1875 38.640625 -18.109375 \r\n",
       "Q 33.296875 -21.046875 25.484375 -21.046875 \r\n",
       "Q 16.21875 -21.046875 10.5 -16.875 \r\n",
       "Q 4.78125 -12.703125 4.984375 -4.296875 \r\n",
       "z\r\n",
       "M 12.25 26.859375 \r\n",
       "Q 12.25 16.65625 16.296875 11.96875 \r\n",
       "Q 20.359375 7.28125 26.46875 7.28125 \r\n",
       "Q 32.515625 7.28125 36.609375 11.9375 \r\n",
       "Q 40.71875 16.609375 40.71875 26.5625 \r\n",
       "Q 40.71875 36.078125 36.5 40.90625 \r\n",
       "Q 32.28125 45.75 26.3125 45.75 \r\n",
       "Q 20.453125 45.75 16.34375 40.984375 \r\n",
       "Q 12.25 36.234375 12.25 26.859375 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-103\"/>\r\n",
       "       <path d=\"M 6.59375 0 \r\n",
       "L 6.59375 71.578125 \r\n",
       "L 15.375 71.578125 \r\n",
       "L 15.375 45.90625 \r\n",
       "Q 21.53125 53.03125 30.90625 53.03125 \r\n",
       "Q 36.671875 53.03125 40.921875 50.75 \r\n",
       "Q 45.171875 48.484375 47 44.484375 \r\n",
       "Q 48.828125 40.484375 48.828125 32.859375 \r\n",
       "L 48.828125 0 \r\n",
       "L 40.046875 0 \r\n",
       "L 40.046875 32.859375 \r\n",
       "Q 40.046875 39.453125 37.1875 42.453125 \r\n",
       "Q 34.328125 45.453125 29.109375 45.453125 \r\n",
       "Q 25.203125 45.453125 21.75 43.421875 \r\n",
       "Q 18.3125 41.40625 16.84375 37.9375 \r\n",
       "Q 15.375 34.46875 15.375 28.375 \r\n",
       "L 15.375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-104\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(361.7125 347.517812)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-82\"/>\r\n",
       "       <use x=\"72.216797\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "       <use x=\"94.433594\" xlink:href=\"#ArialMT-103\"/>\r\n",
       "       <use x=\"150.048828\" xlink:href=\"#ArialMT-104\"/>\r\n",
       "       <use x=\"205.664062\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_3\">\r\n",
       "     <g id=\"text_3\">\r\n",
       "      <!-- Left -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 7.328125 0 \r\n",
       "L 7.328125 71.578125 \r\n",
       "L 16.796875 71.578125 \r\n",
       "L 16.796875 8.453125 \r\n",
       "L 52.046875 8.453125 \r\n",
       "L 52.046875 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-76\"/>\r\n",
       "       <path d=\"M 8.6875 0 \r\n",
       "L 8.6875 45.015625 \r\n",
       "L 0.921875 45.015625 \r\n",
       "L 0.921875 51.859375 \r\n",
       "L 8.6875 51.859375 \r\n",
       "L 8.6875 57.375 \r\n",
       "Q 8.6875 62.59375 9.625 65.140625 \r\n",
       "Q 10.890625 68.5625 14.078125 70.671875 \r\n",
       "Q 17.28125 72.796875 23.046875 72.796875 \r\n",
       "Q 26.765625 72.796875 31.25 71.921875 \r\n",
       "L 29.9375 64.265625 \r\n",
       "Q 27.203125 64.75 24.75 64.75 \r\n",
       "Q 20.75 64.75 19.09375 63.03125 \r\n",
       "Q 17.4375 61.328125 17.4375 56.640625 \r\n",
       "L 17.4375 51.859375 \r\n",
       "L 27.546875 51.859375 \r\n",
       "L 27.546875 45.015625 \r\n",
       "L 17.4375 45.015625 \r\n",
       "L 17.4375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-102\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(588.245312 347.517812)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-76\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "       <use x=\"111.230469\" xlink:href=\"#ArialMT-102\"/>\r\n",
       "       <use x=\"139.013672\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_4\">\r\n",
       "     <!-- bias -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 14.703125 0 \r\n",
       "L 6.546875 0 \r\n",
       "L 6.546875 71.578125 \r\n",
       "L 15.328125 71.578125 \r\n",
       "L 15.328125 46.046875 \r\n",
       "Q 20.90625 53.03125 29.546875 53.03125 \r\n",
       "Q 34.328125 53.03125 38.59375 51.09375 \r\n",
       "Q 42.875 49.171875 45.625 45.671875 \r\n",
       "Q 48.390625 42.1875 49.953125 37.25 \r\n",
       "Q 51.515625 32.328125 51.515625 26.703125 \r\n",
       "Q 51.515625 13.375 44.921875 6.09375 \r\n",
       "Q 38.328125 -1.171875 29.109375 -1.171875 \r\n",
       "Q 19.921875 -1.171875 14.703125 6.5 \r\n",
       "z\r\n",
       "M 14.59375 26.3125 \r\n",
       "Q 14.59375 17 17.140625 12.84375 \r\n",
       "Q 21.296875 6.0625 28.375 6.0625 \r\n",
       "Q 34.125 6.0625 38.328125 11.0625 \r\n",
       "Q 42.53125 16.0625 42.53125 25.984375 \r\n",
       "Q 42.53125 36.140625 38.5 40.96875 \r\n",
       "Q 34.46875 45.796875 28.765625 45.796875 \r\n",
       "Q 23 45.796875 18.796875 40.796875 \r\n",
       "Q 14.59375 35.796875 14.59375 26.3125 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-98\"/>\r\n",
       "      <path d=\"M 40.4375 6.390625 \r\n",
       "Q 35.546875 2.25 31.03125 0.53125 \r\n",
       "Q 26.515625 -1.171875 21.34375 -1.171875 \r\n",
       "Q 12.796875 -1.171875 8.203125 3 \r\n",
       "Q 3.609375 7.171875 3.609375 13.671875 \r\n",
       "Q 3.609375 17.484375 5.34375 20.625 \r\n",
       "Q 7.078125 23.78125 9.890625 25.6875 \r\n",
       "Q 12.703125 27.59375 16.21875 28.5625 \r\n",
       "Q 18.796875 29.25 24.03125 29.890625 \r\n",
       "Q 34.671875 31.15625 39.703125 32.90625 \r\n",
       "Q 39.75 34.71875 39.75 35.203125 \r\n",
       "Q 39.75 40.578125 37.25 42.78125 \r\n",
       "Q 33.890625 45.75 27.25 45.75 \r\n",
       "Q 21.046875 45.75 18.09375 43.578125 \r\n",
       "Q 15.140625 41.40625 13.71875 35.890625 \r\n",
       "L 5.125 37.0625 \r\n",
       "Q 6.296875 42.578125 8.984375 45.96875 \r\n",
       "Q 11.671875 49.359375 16.75 51.1875 \r\n",
       "Q 21.828125 53.03125 28.515625 53.03125 \r\n",
       "Q 35.15625 53.03125 39.296875 51.46875 \r\n",
       "Q 43.453125 49.90625 45.40625 47.53125 \r\n",
       "Q 47.359375 45.171875 48.140625 41.546875 \r\n",
       "Q 48.578125 39.3125 48.578125 33.453125 \r\n",
       "L 48.578125 21.734375 \r\n",
       "Q 48.578125 9.46875 49.140625 6.21875 \r\n",
       "Q 49.703125 2.984375 51.375 0 \r\n",
       "L 42.1875 0 \r\n",
       "Q 40.828125 2.734375 40.4375 6.390625 \r\n",
       "z\r\n",
       "M 39.703125 26.03125 \r\n",
       "Q 34.90625 24.078125 25.34375 22.703125 \r\n",
       "Q 19.921875 21.921875 17.671875 20.9375 \r\n",
       "Q 15.4375 19.96875 14.203125 18.09375 \r\n",
       "Q 12.984375 16.21875 12.984375 13.921875 \r\n",
       "Q 12.984375 10.40625 15.640625 8.0625 \r\n",
       "Q 18.3125 5.71875 23.4375 5.71875 \r\n",
       "Q 28.515625 5.71875 32.46875 7.9375 \r\n",
       "Q 36.421875 10.15625 38.28125 14.015625 \r\n",
       "Q 39.703125 17 39.703125 22.796875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-97\"/>\r\n",
       "      <path d=\"M 3.078125 15.484375 \r\n",
       "L 11.765625 16.84375 \r\n",
       "Q 12.5 11.625 15.84375 8.84375 \r\n",
       "Q 19.1875 6.0625 25.203125 6.0625 \r\n",
       "Q 31.25 6.0625 34.171875 8.515625 \r\n",
       "Q 37.109375 10.984375 37.109375 14.3125 \r\n",
       "Q 37.109375 17.28125 34.515625 19 \r\n",
       "Q 32.71875 20.171875 25.53125 21.96875 \r\n",
       "Q 15.875 24.421875 12.140625 26.203125 \r\n",
       "Q 8.40625 27.984375 6.46875 31.125 \r\n",
       "Q 4.546875 34.28125 4.546875 38.09375 \r\n",
       "Q 4.546875 41.546875 6.125 44.5 \r\n",
       "Q 7.71875 47.46875 10.453125 49.421875 \r\n",
       "Q 12.5 50.921875 16.03125 51.96875 \r\n",
       "Q 19.578125 53.03125 23.640625 53.03125 \r\n",
       "Q 29.734375 53.03125 34.34375 51.265625 \r\n",
       "Q 38.96875 49.515625 41.15625 46.5 \r\n",
       "Q 43.359375 43.5 44.1875 38.484375 \r\n",
       "L 35.59375 37.3125 \r\n",
       "Q 35.015625 41.3125 32.203125 43.546875 \r\n",
       "Q 29.390625 45.796875 24.265625 45.796875 \r\n",
       "Q 18.21875 45.796875 15.625 43.796875 \r\n",
       "Q 13.03125 41.796875 13.03125 39.109375 \r\n",
       "Q 13.03125 37.40625 14.109375 36.03125 \r\n",
       "Q 15.1875 34.625 17.484375 33.6875 \r\n",
       "Q 18.796875 33.203125 25.25 31.453125 \r\n",
       "Q 34.578125 28.953125 38.25 27.359375 \r\n",
       "Q 41.9375 25.78125 44.03125 22.75 \r\n",
       "Q 46.140625 19.734375 46.140625 15.234375 \r\n",
       "Q 46.140625 10.84375 43.578125 6.953125 \r\n",
       "Q 41.015625 3.078125 36.171875 0.953125 \r\n",
       "Q 31.34375 -1.171875 25.25 -1.171875 \r\n",
       "Q 15.140625 -1.171875 9.84375 3.03125 \r\n",
       "Q 4.546875 7.234375 3.078125 15.484375 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-115\"/>\r\n",
       "     </defs>\r\n",
       "     <g style=\"fill:#262626;\" transform=\"translate(364.2125 360.780312)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#ArialMT-98\"/>\r\n",
       "      <use x=\"55.615234\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "      <use x=\"77.832031\" xlink:href=\"#ArialMT-97\"/>\r\n",
       "      <use x=\"133.447266\" xlink:href=\"#ArialMT-115\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"line2d_1\">\r\n",
       "      <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 38.584375 319.955516 \r\n",
       "L 708.184375 319.955516 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 4.15625 35.296875 \r\n",
       "Q 4.15625 48 6.765625 55.734375 \r\n",
       "Q 9.375 63.484375 14.515625 67.671875 \r\n",
       "Q 19.671875 71.875 27.484375 71.875 \r\n",
       "Q 33.25 71.875 37.59375 69.546875 \r\n",
       "Q 41.9375 67.234375 44.765625 62.859375 \r\n",
       "Q 47.609375 58.5 49.21875 52.21875 \r\n",
       "Q 50.828125 45.953125 50.828125 35.296875 \r\n",
       "Q 50.828125 22.703125 48.234375 14.96875 \r\n",
       "Q 45.65625 7.234375 40.5 3 \r\n",
       "Q 35.359375 -1.21875 27.484375 -1.21875 \r\n",
       "Q 17.140625 -1.21875 11.234375 6.203125 \r\n",
       "Q 4.15625 15.140625 4.15625 35.296875 \r\n",
       "z\r\n",
       "M 13.1875 35.296875 \r\n",
       "Q 13.1875 17.671875 17.3125 11.828125 \r\n",
       "Q 21.4375 6 27.484375 6 \r\n",
       "Q 33.546875 6 37.671875 11.859375 \r\n",
       "Q 41.796875 17.71875 41.796875 35.296875 \r\n",
       "Q 41.796875 52.984375 37.671875 58.78125 \r\n",
       "Q 33.546875 64.59375 27.390625 64.59375 \r\n",
       "Q 21.34375 64.59375 17.71875 59.46875 \r\n",
       "Q 13.1875 52.9375 13.1875 35.296875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-48\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(26.023438 323.534422)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"line2d_2\">\r\n",
       "      <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 38.584375 272.589847 \r\n",
       "L 708.184375 272.589847 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_6\">\r\n",
       "      <!-- 10 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 37.25 0 \r\n",
       "L 28.46875 0 \r\n",
       "L 28.46875 56 \r\n",
       "Q 25.296875 52.984375 20.140625 49.953125 \r\n",
       "Q 14.984375 46.921875 10.890625 45.40625 \r\n",
       "L 10.890625 53.90625 \r\n",
       "Q 18.265625 57.375 23.78125 62.296875 \r\n",
       "Q 29.296875 67.234375 31.59375 71.875 \r\n",
       "L 37.25 71.875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-49\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(20.4625 276.168753)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-49\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"line2d_3\">\r\n",
       "      <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 38.584375 225.224179 \r\n",
       "L 708.184375 225.224179 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- 20 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 50.34375 8.453125 \r\n",
       "L 50.34375 0 \r\n",
       "L 3.03125 0 \r\n",
       "Q 2.9375 3.171875 4.046875 6.109375 \r\n",
       "Q 5.859375 10.9375 9.828125 15.625 \r\n",
       "Q 13.8125 20.3125 21.34375 26.46875 \r\n",
       "Q 33.015625 36.03125 37.109375 41.625 \r\n",
       "Q 41.21875 47.21875 41.21875 52.203125 \r\n",
       "Q 41.21875 57.421875 37.46875 61 \r\n",
       "Q 33.734375 64.59375 27.734375 64.59375 \r\n",
       "Q 21.390625 64.59375 17.578125 60.78125 \r\n",
       "Q 13.765625 56.984375 13.71875 50.25 \r\n",
       "L 4.6875 51.171875 \r\n",
       "Q 5.609375 61.28125 11.65625 66.578125 \r\n",
       "Q 17.71875 71.875 27.9375 71.875 \r\n",
       "Q 38.234375 71.875 44.234375 66.15625 \r\n",
       "Q 50.25 60.453125 50.25 52 \r\n",
       "Q 50.25 47.703125 48.484375 43.546875 \r\n",
       "Q 46.734375 39.40625 42.65625 34.8125 \r\n",
       "Q 38.578125 30.21875 29.109375 22.21875 \r\n",
       "Q 21.1875 15.578125 18.9375 13.203125 \r\n",
       "Q 16.703125 10.84375 15.234375 8.453125 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-50\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(20.4625 228.803085)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-50\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"line2d_4\">\r\n",
       "      <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 38.584375 177.858511 \r\n",
       "L 708.184375 177.858511 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- 30 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 4.203125 18.890625 \r\n",
       "L 12.984375 20.0625 \r\n",
       "Q 14.5 12.59375 18.140625 9.296875 \r\n",
       "Q 21.78125 6 27 6 \r\n",
       "Q 33.203125 6 37.46875 10.296875 \r\n",
       "Q 41.75 14.59375 41.75 20.953125 \r\n",
       "Q 41.75 27 37.796875 30.921875 \r\n",
       "Q 33.84375 34.859375 27.734375 34.859375 \r\n",
       "Q 25.25 34.859375 21.53125 33.890625 \r\n",
       "L 22.515625 41.609375 \r\n",
       "Q 23.390625 41.5 23.921875 41.5 \r\n",
       "Q 29.546875 41.5 34.03125 44.421875 \r\n",
       "Q 38.53125 47.359375 38.53125 53.46875 \r\n",
       "Q 38.53125 58.296875 35.25 61.46875 \r\n",
       "Q 31.984375 64.65625 26.8125 64.65625 \r\n",
       "Q 21.6875 64.65625 18.265625 61.421875 \r\n",
       "Q 14.84375 58.203125 13.875 51.765625 \r\n",
       "L 5.078125 53.328125 \r\n",
       "Q 6.6875 62.15625 12.390625 67.015625 \r\n",
       "Q 18.109375 71.875 26.609375 71.875 \r\n",
       "Q 32.46875 71.875 37.390625 69.359375 \r\n",
       "Q 42.328125 66.84375 44.9375 62.5 \r\n",
       "Q 47.5625 58.15625 47.5625 53.265625 \r\n",
       "Q 47.5625 48.640625 45.0625 44.828125 \r\n",
       "Q 42.578125 41.015625 37.703125 38.765625 \r\n",
       "Q 44.046875 37.3125 47.5625 32.6875 \r\n",
       "Q 51.078125 28.078125 51.078125 21.140625 \r\n",
       "Q 51.078125 11.765625 44.234375 5.25 \r\n",
       "Q 37.40625 -1.265625 26.953125 -1.265625 \r\n",
       "Q 17.53125 -1.265625 11.296875 4.34375 \r\n",
       "Q 5.078125 9.96875 4.203125 18.890625 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-51\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(20.4625 181.437417)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-51\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"line2d_5\">\r\n",
       "      <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 38.584375 130.492842 \r\n",
       "L 708.184375 130.492842 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- 40 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 32.328125 0 \r\n",
       "L 32.328125 17.140625 \r\n",
       "L 1.265625 17.140625 \r\n",
       "L 1.265625 25.203125 \r\n",
       "L 33.9375 71.578125 \r\n",
       "L 41.109375 71.578125 \r\n",
       "L 41.109375 25.203125 \r\n",
       "L 50.78125 25.203125 \r\n",
       "L 50.78125 17.140625 \r\n",
       "L 41.109375 17.140625 \r\n",
       "L 41.109375 0 \r\n",
       "z\r\n",
       "M 32.328125 25.203125 \r\n",
       "L 32.328125 57.46875 \r\n",
       "L 9.90625 25.203125 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-52\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(20.4625 134.071748)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-52\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_6\">\r\n",
       "     <g id=\"line2d_6\">\r\n",
       "      <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 38.584375 83.127174 \r\n",
       "L 708.184375 83.127174 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_10\">\r\n",
       "      <!-- 50 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 4.15625 18.75 \r\n",
       "L 13.375 19.53125 \r\n",
       "Q 14.40625 12.796875 18.140625 9.390625 \r\n",
       "Q 21.875 6 27.15625 6 \r\n",
       "Q 33.5 6 37.890625 10.78125 \r\n",
       "Q 42.28125 15.578125 42.28125 23.484375 \r\n",
       "Q 42.28125 31 38.0625 35.34375 \r\n",
       "Q 33.84375 39.703125 27 39.703125 \r\n",
       "Q 22.75 39.703125 19.328125 37.765625 \r\n",
       "Q 15.921875 35.84375 13.96875 32.765625 \r\n",
       "L 5.71875 33.84375 \r\n",
       "L 12.640625 70.609375 \r\n",
       "L 48.25 70.609375 \r\n",
       "L 48.25 62.203125 \r\n",
       "L 19.671875 62.203125 \r\n",
       "L 15.828125 42.96875 \r\n",
       "Q 22.265625 47.46875 29.34375 47.46875 \r\n",
       "Q 38.71875 47.46875 45.15625 40.96875 \r\n",
       "Q 51.609375 34.46875 51.609375 24.265625 \r\n",
       "Q 51.609375 14.546875 45.953125 7.46875 \r\n",
       "Q 39.0625 -1.21875 27.15625 -1.21875 \r\n",
       "Q 17.390625 -1.21875 11.203125 4.25 \r\n",
       "Q 5.03125 9.71875 4.15625 18.75 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-53\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(20.4625 86.70608)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-53\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_7\">\r\n",
       "     <g id=\"line2d_7\">\r\n",
       "      <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 38.584375 35.761506 \r\n",
       "L 708.184375 35.761506 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:round;stroke-width:0.8;\"/>\r\n",
       "     </g>\r\n",
       "     <g id=\"text_11\">\r\n",
       "      <!-- 60 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 49.75 54.046875 \r\n",
       "L 41.015625 53.375 \r\n",
       "Q 39.84375 58.546875 37.703125 60.890625 \r\n",
       "Q 34.125 64.65625 28.90625 64.65625 \r\n",
       "Q 24.703125 64.65625 21.53125 62.3125 \r\n",
       "Q 17.390625 59.28125 14.984375 53.46875 \r\n",
       "Q 12.59375 47.65625 12.5 36.921875 \r\n",
       "Q 15.671875 41.75 20.265625 44.09375 \r\n",
       "Q 24.859375 46.4375 29.890625 46.4375 \r\n",
       "Q 38.671875 46.4375 44.84375 39.96875 \r\n",
       "Q 51.03125 33.5 51.03125 23.25 \r\n",
       "Q 51.03125 16.5 48.125 10.71875 \r\n",
       "Q 45.21875 4.9375 40.140625 1.859375 \r\n",
       "Q 35.0625 -1.21875 28.609375 -1.21875 \r\n",
       "Q 17.625 -1.21875 10.6875 6.859375 \r\n",
       "Q 3.765625 14.9375 3.765625 33.5 \r\n",
       "Q 3.765625 54.25 11.421875 63.671875 \r\n",
       "Q 18.109375 71.875 29.4375 71.875 \r\n",
       "Q 37.890625 71.875 43.28125 67.140625 \r\n",
       "Q 48.6875 62.40625 49.75 54.046875 \r\n",
       "z\r\n",
       "M 13.875 23.1875 \r\n",
       "Q 13.875 18.65625 15.796875 14.5 \r\n",
       "Q 17.71875 10.359375 21.1875 8.171875 \r\n",
       "Q 24.65625 6 28.46875 6 \r\n",
       "Q 34.03125 6 38.03125 10.484375 \r\n",
       "Q 42.046875 14.984375 42.046875 22.703125 \r\n",
       "Q 42.046875 30.125 38.078125 34.390625 \r\n",
       "Q 34.125 38.671875 28.125 38.671875 \r\n",
       "Q 22.171875 38.671875 18.015625 34.390625 \r\n",
       "Q 13.875 30.125 13.875 23.1875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-54\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(20.4625 39.340412)scale(0.1 -0.1)\">\r\n",
       "       <use xlink:href=\"#ArialMT-54\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"text_12\">\r\n",
       "     <!-- magnitude -->\r\n",
       "     <defs>\r\n",
       "      <path d=\"M 6.59375 0 \r\n",
       "L 6.59375 51.859375 \r\n",
       "L 14.453125 51.859375 \r\n",
       "L 14.453125 44.578125 \r\n",
       "Q 16.890625 48.390625 20.9375 50.703125 \r\n",
       "Q 25 53.03125 30.171875 53.03125 \r\n",
       "Q 35.9375 53.03125 39.625 50.640625 \r\n",
       "Q 43.3125 48.25 44.828125 43.953125 \r\n",
       "Q 50.984375 53.03125 60.84375 53.03125 \r\n",
       "Q 68.5625 53.03125 72.703125 48.75 \r\n",
       "Q 76.859375 44.484375 76.859375 35.59375 \r\n",
       "L 76.859375 0 \r\n",
       "L 68.109375 0 \r\n",
       "L 68.109375 32.671875 \r\n",
       "Q 68.109375 37.9375 67.25 40.25 \r\n",
       "Q 66.40625 42.578125 64.15625 43.984375 \r\n",
       "Q 61.921875 45.40625 58.890625 45.40625 \r\n",
       "Q 53.421875 45.40625 49.796875 41.765625 \r\n",
       "Q 46.1875 38.140625 46.1875 30.125 \r\n",
       "L 46.1875 0 \r\n",
       "L 37.40625 0 \r\n",
       "L 37.40625 33.6875 \r\n",
       "Q 37.40625 39.546875 35.25 42.46875 \r\n",
       "Q 33.109375 45.40625 28.21875 45.40625 \r\n",
       "Q 24.515625 45.40625 21.359375 43.453125 \r\n",
       "Q 18.21875 41.5 16.796875 37.734375 \r\n",
       "Q 15.375 33.984375 15.375 26.90625 \r\n",
       "L 15.375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-109\"/>\r\n",
       "      <path d=\"M 40.578125 0 \r\n",
       "L 40.578125 7.625 \r\n",
       "Q 34.515625 -1.171875 24.125 -1.171875 \r\n",
       "Q 19.53125 -1.171875 15.546875 0.578125 \r\n",
       "Q 11.578125 2.34375 9.640625 5 \r\n",
       "Q 7.71875 7.671875 6.9375 11.53125 \r\n",
       "Q 6.390625 14.109375 6.390625 19.734375 \r\n",
       "L 6.390625 51.859375 \r\n",
       "L 15.1875 51.859375 \r\n",
       "L 15.1875 23.09375 \r\n",
       "Q 15.1875 16.21875 15.71875 13.8125 \r\n",
       "Q 16.546875 10.359375 19.234375 8.375 \r\n",
       "Q 21.921875 6.390625 25.875 6.390625 \r\n",
       "Q 29.828125 6.390625 33.296875 8.421875 \r\n",
       "Q 36.765625 10.453125 38.203125 13.9375 \r\n",
       "Q 39.65625 17.4375 39.65625 24.078125 \r\n",
       "L 39.65625 51.859375 \r\n",
       "L 48.4375 51.859375 \r\n",
       "L 48.4375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-117\"/>\r\n",
       "      <path d=\"M 40.234375 0 \r\n",
       "L 40.234375 6.546875 \r\n",
       "Q 35.296875 -1.171875 25.734375 -1.171875 \r\n",
       "Q 19.53125 -1.171875 14.328125 2.25 \r\n",
       "Q 9.125 5.671875 6.265625 11.796875 \r\n",
       "Q 3.421875 17.921875 3.421875 25.875 \r\n",
       "Q 3.421875 33.640625 6 39.96875 \r\n",
       "Q 8.59375 46.296875 13.765625 49.65625 \r\n",
       "Q 18.953125 53.03125 25.34375 53.03125 \r\n",
       "Q 30.03125 53.03125 33.6875 51.046875 \r\n",
       "Q 37.359375 49.078125 39.65625 45.90625 \r\n",
       "L 39.65625 71.578125 \r\n",
       "L 48.390625 71.578125 \r\n",
       "L 48.390625 0 \r\n",
       "z\r\n",
       "M 12.453125 25.875 \r\n",
       "Q 12.453125 15.921875 16.640625 10.984375 \r\n",
       "Q 20.84375 6.0625 26.5625 6.0625 \r\n",
       "Q 32.328125 6.0625 36.34375 10.765625 \r\n",
       "Q 40.375 15.484375 40.375 25.140625 \r\n",
       "Q 40.375 35.796875 36.265625 40.765625 \r\n",
       "Q 32.171875 45.75 26.171875 45.75 \r\n",
       "Q 20.3125 45.75 16.375 40.96875 \r\n",
       "Q 12.453125 36.1875 12.453125 25.875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-100\"/>\r\n",
       "     </defs>\r\n",
       "     <g style=\"fill:#262626;\" transform=\"translate(14.357813 193.627656)rotate(-90)scale(0.1 -0.1)\">\r\n",
       "      <use xlink:href=\"#ArialMT-109\"/>\r\n",
       "      <use x=\"83.300781\" xlink:href=\"#ArialMT-97\"/>\r\n",
       "      <use x=\"138.916016\" xlink:href=\"#ArialMT-103\"/>\r\n",
       "      <use x=\"194.53125\" xlink:href=\"#ArialMT-110\"/>\r\n",
       "      <use x=\"250.146484\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "      <use x=\"272.363281\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "      <use x=\"300.146484\" xlink:href=\"#ArialMT-117\"/>\r\n",
       "      <use x=\"355.761719\" xlink:href=\"#ArialMT-100\"/>\r\n",
       "      <use x=\"411.376953\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 60.904375 287.983689 \r\n",
       "L 239.464375 287.983689 \r\n",
       "L 239.464375 247.722871 \r\n",
       "L 60.904375 247.722871 \r\n",
       "L 60.904375 287.983689 \r\n",
       "z\r\n",
       "\" style=\"fill:#3274a1;stroke:#3d3d3d;stroke-linejoin:miter;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 284.104375 290.115144 \r\n",
       "L 462.664375 290.115144 \r\n",
       "L 462.664375 248.907013 \r\n",
       "L 284.104375 248.907013 \r\n",
       "L 284.104375 290.115144 \r\n",
       "z\r\n",
       "\" style=\"fill:#e1812c;stroke:#3d3d3d;stroke-linejoin:miter;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_5\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 507.304375 286.681134 \r\n",
       "L 685.864375 286.681134 \r\n",
       "L 685.864375 203.43597 \r\n",
       "L 507.304375 203.43597 \r\n",
       "L 507.304375 286.681134 \r\n",
       "z\r\n",
       "\" style=\"fill:#3a923a;stroke:#3d3d3d;stroke-linejoin:miter;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_8\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 150.184375 287.983689 \r\n",
       "L 150.184375 318.534545 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_9\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 150.184375 247.722871 \r\n",
       "L 150.184375 196.331119 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_10\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 105.544375 318.534545 \r\n",
       "L 194.824375 318.534545 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_11\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 105.544375 196.331119 \r\n",
       "L 194.824375 196.331119 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_12\">\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 0 3.535534 \r\n",
       "L 2.12132 0 \r\n",
       "L 0 -3.535534 \r\n",
       "L -2.12132 0 \r\n",
       "z\r\n",
       "\" id=\"mae9095cdb4\" style=\"stroke:#3d3d3d;stroke-linejoin:miter;\"/>\r\n",
       "    </defs>\r\n",
       "    <g clip-path=\"url(#pb1f6d191a7)\">\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"150.184375\" xlink:href=\"#mae9095cdb4\" y=\"169.332694\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"150.184375\" xlink:href=\"#mae9095cdb4\" y=\"138.071342\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"150.184375\" xlink:href=\"#mae9095cdb4\" y=\"118.651425\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"150.184375\" xlink:href=\"#mae9095cdb4\" y=\"169.332694\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"150.184375\" xlink:href=\"#mae9095cdb4\" y=\"138.071342\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_13\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 373.384375 290.115144 \r\n",
       "L 373.384375 315.218949 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_14\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 373.384375 248.907013 \r\n",
       "L 373.384375 193.015528 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_15\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 328.744375 315.218949 \r\n",
       "L 418.024375 315.218949 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_16\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 328.744375 193.015528 \r\n",
       "L 418.024375 193.015528 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_17\">\r\n",
       "    <g clip-path=\"url(#pb1f6d191a7)\">\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"147.070826\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"163.64881\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"171.227319\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"181.174111\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"174.54291\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"157.491277\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"146.123509\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"168.859035\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"183.542394\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"117.230459\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"158.438594\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"147.070826\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"163.64881\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"171.227319\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"181.174111\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"174.54291\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"157.491277\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"146.123509\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"373.384375\" xlink:href=\"#mae9095cdb4\" y=\"168.859035\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_18\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 596.584375 286.681134 \r\n",
       "L 596.584375 313.324322 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_19\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 596.584375 203.43597 \r\n",
       "L 596.584375 90.232024 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_20\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 551.944375 313.324322 \r\n",
       "L 641.224375 313.324322 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_21\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 551.944375 90.232024 \r\n",
       "L 641.224375 90.232024 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_22\">\r\n",
       "    <g clip-path=\"url(#pb1f6d191a7)\">\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"596.584375\" xlink:href=\"#mae9095cdb4\" y=\"22.025455\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"596.584375\" xlink:href=\"#mae9095cdb4\" y=\"27.709338\"/>\r\n",
       "     <use style=\"fill:#3d3d3d;stroke:#3d3d3d;stroke-linejoin:miter;\" x=\"596.584375\" xlink:href=\"#mae9095cdb4\" y=\"22.025455\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_23\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 60.904375 269.747905 \r\n",
       "L 239.464375 269.747905 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_24\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 284.104375 274.958131 \r\n",
       "L 462.664375 274.958131 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_25\">\r\n",
       "    <path clip-path=\"url(#pb1f6d191a7)\" d=\"M 507.304375 248.433357 \r\n",
       "L 685.864375 248.433357 \r\n",
       "\" style=\"fill:none;stroke:#3d3d3d;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_6\">\r\n",
       "    <path d=\"M 38.584375 333.36 \r\n",
       "L 38.584375 7.2 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_7\">\r\n",
       "    <path d=\"M 708.184375 333.36 \r\n",
       "L 708.184375 7.2 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_8\">\r\n",
       "    <path d=\"M 38.584375 333.36 \r\n",
       "L 708.184375 333.36 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_9\">\r\n",
       "    <path d=\"M 38.584375 7.2 \r\n",
       "L 708.184375 7.2 \r\n",
       "\" style=\"fill:none;stroke:#cccccc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"pb1f6d191a7\">\r\n",
       "   <rect height=\"326.16\" width=\"669.6\" x=\"38.584375\" y=\"7.2\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ],
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,6))\n",
    "sns.boxplot(x='bias', y='magnitude', data=new)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On the other hand, if we calculate the upper bound (15 + 8.3 * 1.5), we find the upper bound is ~27.5. Each diamond plotted above the whisker is considered an outlier,  and they're lots of them in our right-leaning dataset. However, these articles primarily consist of opinion pieces from the **Washington Times**, **Washington Examiner**, **The Christian Perspective**, **Reason**, and the **National Post**. (The largest magnitude in our dataset for right-leaning sources)\n",
    "\n",
    "Despite all the outliers, the distribution of the right-leaning dataset is still similar to that of the \"politically-neutral\" sources. However, there is a major skew in the distribution for left-leaning sources. Although the variation is greater (IQR of 17.6!), the whisker on the far end is much longer than the whisker for right/center-leaning sources.\n",
    "\n",
    "This data suggests that writers for left-leaning outlets are more likely to implement their personal feelings and emotions into the articles they publish. I suppose we can expect this from outlets such as **Vox** and perhaps **The Guardian**, but the Washington Post and the Los Angeles Times are considered more \"news-oriented\" outlets.\n",
    "\n",
    "Perhaps I made a mistake when scraping news and didn't realize I was collecting pieces from the editorial section. OR maybe the mistake was made on their part when mislabeling an article \"news\" when it should have been labeled \"opinion.\" Who can say?\n",
    "\n",
    "#### Density Plot\n",
    "\n",
    "This last plot is known as a density plot, which serves a similar function to the histogram that we used earlier. However, the purpose of a density plot is to visualize the probability distribution of the data by drawing an appropriate continuous curve. Density curves are usually scaled such that the area under the curve equals 1 (provided that the distribution is close to normal).\n",
    "\n",
    "We have normalized these plots so we can clearly see the distribution for "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n",
       "<svg height=\"205.129219pt\" version=\"1.1\" viewBox=\"0 0 1068.472031 205.129219\" width=\"1068.472031pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n",
       " <defs>\r\n",
       "  <style type=\"text/css\">\r\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\r\n",
       "  </style>\r\n",
       " </defs>\r\n",
       " <g id=\"figure_1\">\r\n",
       "  <g id=\"patch_1\">\r\n",
       "   <path d=\"M 0 205.129219 \r\n",
       "L 1068.472031 205.129219 \r\n",
       "L 1068.472031 0 \r\n",
       "L 0 0 \r\n",
       "z\r\n",
       "\" style=\"fill:#ffffff;\"/>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_1\">\r\n",
       "   <g id=\"patch_2\">\r\n",
       "    <path d=\"M 22.817031 51.978125 \r\n",
       "L 1061.272031 51.978125 \r\n",
       "L 1061.272031 21.789375 \r\n",
       "L 22.817031 21.789375 \r\n",
       "z\r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_1\">\r\n",
       "    <g id=\"xtick_1\"/>\r\n",
       "    <g id=\"xtick_2\"/>\r\n",
       "    <g id=\"xtick_3\"/>\r\n",
       "    <g id=\"xtick_4\"/>\r\n",
       "    <g id=\"xtick_5\"/>\r\n",
       "    <g id=\"xtick_6\"/>\r\n",
       "    <g id=\"xtick_7\"/>\r\n",
       "    <g id=\"xtick_8\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_2\">\r\n",
       "    <g id=\"ytick_1\">\r\n",
       "     <g id=\"text_1\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 4.15625 35.296875 \r\n",
       "Q 4.15625 48 6.765625 55.734375 \r\n",
       "Q 9.375 63.484375 14.515625 67.671875 \r\n",
       "Q 19.671875 71.875 27.484375 71.875 \r\n",
       "Q 33.25 71.875 37.59375 69.546875 \r\n",
       "Q 41.9375 67.234375 44.765625 62.859375 \r\n",
       "Q 47.609375 58.5 49.21875 52.21875 \r\n",
       "Q 50.828125 45.953125 50.828125 35.296875 \r\n",
       "Q 50.828125 22.703125 48.234375 14.96875 \r\n",
       "Q 45.65625 7.234375 40.5 3 \r\n",
       "Q 35.359375 -1.21875 27.484375 -1.21875 \r\n",
       "Q 17.140625 -1.21875 11.234375 6.203125 \r\n",
       "Q 4.15625 15.140625 4.15625 35.296875 \r\n",
       "z\r\n",
       "M 13.1875 35.296875 \r\n",
       "Q 13.1875 17.671875 17.3125 11.828125 \r\n",
       "Q 21.4375 6 27.484375 6 \r\n",
       "Q 33.546875 6 37.671875 11.859375 \r\n",
       "Q 41.796875 17.71875 41.796875 35.296875 \r\n",
       "Q 41.796875 52.984375 37.671875 58.78125 \r\n",
       "Q 33.546875 64.59375 27.390625 64.59375 \r\n",
       "Q 21.34375 64.59375 17.71875 59.46875 \r\n",
       "Q 13.1875 52.9375 13.1875 35.296875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-48\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 55.914922)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_2\">\r\n",
       "     <g id=\"text_2\">\r\n",
       "      <!-- 1 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 37.25 0 \r\n",
       "L 28.46875 0 \r\n",
       "L 28.46875 56 \r\n",
       "Q 25.296875 52.984375 20.140625 49.953125 \r\n",
       "Q 14.984375 46.921875 10.890625 45.40625 \r\n",
       "L 10.890625 53.90625 \r\n",
       "Q 18.265625 57.375 23.78125 62.296875 \r\n",
       "Q 29.296875 67.234375 31.59375 71.875 \r\n",
       "L 37.25 71.875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-49\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 38.882292)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-49\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"PolyCollection_1\">\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 70.019531 -153.171036 \r\n",
       "L 70.019531 -153.151094 \r\n",
       "L 77.452996 -153.151094 \r\n",
       "L 84.88646 -153.151094 \r\n",
       "L 92.319925 -153.151094 \r\n",
       "L 99.75339 -153.151094 \r\n",
       "L 107.186854 -153.151094 \r\n",
       "L 114.620319 -153.151094 \r\n",
       "L 122.053783 -153.151094 \r\n",
       "L 129.487248 -153.151094 \r\n",
       "L 136.920712 -153.151094 \r\n",
       "L 144.354177 -153.151094 \r\n",
       "L 151.787641 -153.151094 \r\n",
       "L 159.221106 -153.151094 \r\n",
       "L 166.654571 -153.151094 \r\n",
       "L 174.088035 -153.151094 \r\n",
       "L 181.5215 -153.151094 \r\n",
       "L 188.954964 -153.151094 \r\n",
       "L 196.388429 -153.151094 \r\n",
       "L 203.821893 -153.151094 \r\n",
       "L 211.255358 -153.151094 \r\n",
       "L 218.688823 -153.151094 \r\n",
       "L 226.122287 -153.151094 \r\n",
       "L 233.555752 -153.151094 \r\n",
       "L 240.989216 -153.151094 \r\n",
       "L 248.422681 -153.151094 \r\n",
       "L 255.856145 -153.151094 \r\n",
       "L 263.28961 -153.151094 \r\n",
       "L 270.723075 -153.151094 \r\n",
       "L 278.156539 -153.151094 \r\n",
       "L 285.590004 -153.151094 \r\n",
       "L 293.023468 -153.151094 \r\n",
       "L 300.456933 -153.151094 \r\n",
       "L 307.890397 -153.151094 \r\n",
       "L 315.323862 -153.151094 \r\n",
       "L 322.757327 -153.151094 \r\n",
       "L 330.190791 -153.151094 \r\n",
       "L 337.624256 -153.151094 \r\n",
       "L 345.05772 -153.151094 \r\n",
       "L 352.491185 -153.151094 \r\n",
       "L 359.924649 -153.151094 \r\n",
       "L 367.358114 -153.151094 \r\n",
       "L 374.791578 -153.151094 \r\n",
       "L 382.225043 -153.151094 \r\n",
       "L 389.658508 -153.151094 \r\n",
       "L 397.091972 -153.151094 \r\n",
       "L 404.525437 -153.151094 \r\n",
       "L 411.958901 -153.151094 \r\n",
       "L 419.392366 -153.151094 \r\n",
       "L 426.82583 -153.151094 \r\n",
       "L 434.259295 -153.151094 \r\n",
       "L 441.69276 -153.151094 \r\n",
       "L 449.126224 -153.151094 \r\n",
       "L 456.559689 -153.151094 \r\n",
       "L 463.993153 -153.151094 \r\n",
       "L 471.426618 -153.151094 \r\n",
       "L 478.860082 -153.151094 \r\n",
       "L 486.293547 -153.151094 \r\n",
       "L 493.727012 -153.151094 \r\n",
       "L 501.160476 -153.151094 \r\n",
       "L 508.593941 -153.151094 \r\n",
       "L 516.027405 -153.151094 \r\n",
       "L 523.46087 -153.151094 \r\n",
       "L 530.894334 -153.151094 \r\n",
       "L 538.327799 -153.151094 \r\n",
       "L 545.761264 -153.151094 \r\n",
       "L 553.194728 -153.151094 \r\n",
       "L 560.628193 -153.151094 \r\n",
       "L 568.061657 -153.151094 \r\n",
       "L 575.495122 -153.151094 \r\n",
       "L 582.928586 -153.151094 \r\n",
       "L 590.362051 -153.151094 \r\n",
       "L 597.795516 -153.151094 \r\n",
       "L 605.22898 -153.151094 \r\n",
       "L 612.662445 -153.151094 \r\n",
       "L 620.095909 -153.151094 \r\n",
       "L 627.529374 -153.151094 \r\n",
       "L 634.962838 -153.151094 \r\n",
       "L 642.396303 -153.151094 \r\n",
       "L 649.829767 -153.151094 \r\n",
       "L 657.263232 -153.151094 \r\n",
       "L 664.696697 -153.151094 \r\n",
       "L 672.130161 -153.151094 \r\n",
       "L 679.563626 -153.151094 \r\n",
       "L 686.99709 -153.151094 \r\n",
       "L 694.430555 -153.151094 \r\n",
       "L 701.864019 -153.151094 \r\n",
       "L 709.297484 -153.151094 \r\n",
       "L 716.730949 -153.151094 \r\n",
       "L 724.164413 -153.151094 \r\n",
       "L 731.597878 -153.151094 \r\n",
       "L 739.031342 -153.151094 \r\n",
       "L 746.464807 -153.151094 \r\n",
       "L 753.898271 -153.151094 \r\n",
       "L 761.331736 -153.151094 \r\n",
       "L 768.765201 -153.151094 \r\n",
       "L 776.198665 -153.151094 \r\n",
       "L 783.63213 -153.151094 \r\n",
       "L 791.065594 -153.151094 \r\n",
       "L 798.499059 -153.151094 \r\n",
       "L 805.932523 -153.151094 \r\n",
       "L 813.365988 -153.151094 \r\n",
       "L 820.799453 -153.151094 \r\n",
       "L 828.232917 -153.151094 \r\n",
       "L 835.666382 -153.151094 \r\n",
       "L 843.099846 -153.151094 \r\n",
       "L 850.533311 -153.151094 \r\n",
       "L 857.966775 -153.151094 \r\n",
       "L 865.40024 -153.151094 \r\n",
       "L 872.833704 -153.151094 \r\n",
       "L 880.267169 -153.151094 \r\n",
       "L 887.700634 -153.151094 \r\n",
       "L 895.134098 -153.151094 \r\n",
       "L 902.567563 -153.151094 \r\n",
       "L 910.001027 -153.151094 \r\n",
       "L 917.434492 -153.151094 \r\n",
       "L 924.867956 -153.151094 \r\n",
       "L 932.301421 -153.151094 \r\n",
       "L 939.734886 -153.151094 \r\n",
       "L 947.16835 -153.151094 \r\n",
       "L 954.601815 -153.151094 \r\n",
       "L 962.035279 -153.151094 \r\n",
       "L 969.468744 -153.151094 \r\n",
       "L 976.902208 -153.151094 \r\n",
       "L 984.335673 -153.151094 \r\n",
       "L 991.769138 -153.151094 \r\n",
       "L 999.202602 -153.151094 \r\n",
       "L 1006.636067 -153.151094 \r\n",
       "L 1014.069531 -153.151094 \r\n",
       "L 1014.069531 -153.17325 \r\n",
       "L 1014.069531 -153.17325 \r\n",
       "L 1006.636067 -153.176706 \r\n",
       "L 999.202602 -153.181527 \r\n",
       "L 991.769138 -153.187887 \r\n",
       "L 984.335673 -153.19601 \r\n",
       "L 976.902208 -153.206176 \r\n",
       "L 969.468744 -153.218721 \r\n",
       "L 962.035279 -153.234046 \r\n",
       "L 954.601815 -153.25262 \r\n",
       "L 947.16835 -153.274984 \r\n",
       "L 939.734886 -153.301758 \r\n",
       "L 932.301421 -153.33365 \r\n",
       "L 924.867956 -153.371456 \r\n",
       "L 917.434492 -153.416072 \r\n",
       "L 910.001027 -153.468496 \r\n",
       "L 902.567563 -153.529834 \r\n",
       "L 895.134098 -153.60131 \r\n",
       "L 887.700634 -153.684261 \r\n",
       "L 880.267169 -153.780147 \r\n",
       "L 872.833704 -153.890551 \r\n",
       "L 865.40024 -154.017175 \r\n",
       "L 857.966775 -154.161845 \r\n",
       "L 850.533311 -154.326497 \r\n",
       "L 843.099846 -154.513175 \r\n",
       "L 835.666382 -154.724021 \r\n",
       "L 828.232917 -154.961254 \r\n",
       "L 820.799453 -155.227156 \r\n",
       "L 813.365988 -155.524046 \r\n",
       "L 805.932523 -155.854253 \r\n",
       "L 798.499059 -156.220079 \r\n",
       "L 791.065594 -156.623764 \r\n",
       "L 783.63213 -157.067438 \r\n",
       "L 776.198665 -157.553074 \r\n",
       "L 768.765201 -158.08243 \r\n",
       "L 761.331736 -158.656997 \r\n",
       "L 753.898271 -159.277927 \r\n",
       "L 746.464807 -159.945978 \r\n",
       "L 739.031342 -160.661443 \r\n",
       "L 731.597878 -161.424086 \r\n",
       "L 724.164413 -162.233078 \r\n",
       "L 716.730949 -163.086942 \r\n",
       "L 709.297484 -163.983497 \r\n",
       "L 701.864019 -164.919815 \r\n",
       "L 694.430555 -165.89219 \r\n",
       "L 686.99709 -166.896117 \r\n",
       "L 679.563626 -167.926288 \r\n",
       "L 672.130161 -168.976599 \r\n",
       "L 664.696697 -170.04019 \r\n",
       "L 657.263232 -171.109482 \r\n",
       "L 649.829767 -172.176256 \r\n",
       "L 642.396303 -173.231733 \r\n",
       "L 634.962838 -174.266687 \r\n",
       "L 627.529374 -175.271563 \r\n",
       "L 620.095909 -176.23662 \r\n",
       "L 612.662445 -177.152082 \r\n",
       "L 605.22898 -178.008299 \r\n",
       "L 597.795516 -178.795913 \r\n",
       "L 590.362051 -179.506027 \r\n",
       "L 582.928586 -180.130376 \r\n",
       "L 575.495122 -180.661479 \r\n",
       "L 568.061657 -181.092795 \r\n",
       "L 560.628193 -181.418853 \r\n",
       "L 553.194728 -181.635365 \r\n",
       "L 545.761264 -181.739323 \r\n",
       "L 538.327799 -181.729064 \r\n",
       "L 530.894334 -181.604308 \r\n",
       "L 523.46087 -181.366174 \r\n",
       "L 516.027405 -181.01716 \r\n",
       "L 508.593941 -180.561102 \r\n",
       "L 501.160476 -180.003095 \r\n",
       "L 493.727012 -179.349404 \r\n",
       "L 486.293547 -178.607337 \r\n",
       "L 478.860082 -177.785111 \r\n",
       "L 471.426618 -176.891692 \r\n",
       "L 463.993153 -175.936636 \r\n",
       "L 456.559689 -174.92991 \r\n",
       "L 449.126224 -173.881718 \r\n",
       "L 441.69276 -172.802329 \r\n",
       "L 434.259295 -171.701909 \r\n",
       "L 426.82583 -170.590359 \r\n",
       "L 419.392366 -169.477175 \r\n",
       "L 411.958901 -168.371314 \r\n",
       "L 404.525437 -167.281087 \r\n",
       "L 397.091972 -166.214064 \r\n",
       "L 389.658508 -165.177003 \r\n",
       "L 382.225043 -164.175804 \r\n",
       "L 374.791578 -163.215476 \r\n",
       "L 367.358114 -162.300131 \r\n",
       "L 359.924649 -161.432989 \r\n",
       "L 352.491185 -160.616409 \r\n",
       "L 345.05772 -159.851928 \r\n",
       "L 337.624256 -159.140316 \r\n",
       "L 330.190791 -158.481637 \r\n",
       "L 322.757327 -157.875324 \r\n",
       "L 315.323862 -157.320251 \r\n",
       "L 307.890397 -156.814817 \r\n",
       "L 300.456933 -156.357025 \r\n",
       "L 293.023468 -155.944555 \r\n",
       "L 285.590004 -155.574848 \r\n",
       "L 278.156539 -155.24517 \r\n",
       "L 270.723075 -154.952681 \r\n",
       "L 263.28961 -154.694494 \r\n",
       "L 255.856145 -154.467722 \r\n",
       "L 248.422681 -154.269531 \r\n",
       "L 240.989216 -154.09717 \r\n",
       "L 233.555752 -153.948004 \r\n",
       "L 226.122287 -153.819537 \r\n",
       "L 218.688823 -153.70943 \r\n",
       "L 211.255358 -153.615513 \r\n",
       "L 203.821893 -153.535788 \r\n",
       "L 196.388429 -153.468433 \r\n",
       "L 188.954964 -153.411802 \r\n",
       "L 181.5215 -153.364417 \r\n",
       "L 174.088035 -153.324963 \r\n",
       "L 166.654571 -153.292279 \r\n",
       "L 159.221106 -153.265347 \r\n",
       "L 151.787641 -153.243282 \r\n",
       "L 144.354177 -153.225321 \r\n",
       "L 136.920712 -153.210813 \r\n",
       "L 129.487248 -153.199207 \r\n",
       "L 122.053783 -153.190044 \r\n",
       "L 114.620319 -153.182945 \r\n",
       "L 107.186854 -153.177606 \r\n",
       "L 99.75339 -153.17379 \r\n",
       "L 92.319925 -153.17132 \r\n",
       "L 84.88646 -153.170075 \r\n",
       "L 77.452996 -153.169987 \r\n",
       "L 70.019531 -153.171036 \r\n",
       "z\r\n",
       "\" id=\"ma81f5b1743\" style=\"stroke:#ffffff;\"/>\r\n",
       "    </defs>\r\n",
       "    <g>\r\n",
       "     <use style=\"fill:#90c1c6;stroke:#ffffff;\" x=\"0\" xlink:href=\"#ma81f5b1743\" y=\"205.129219\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_1\">\r\n",
       "    <path d=\"M 70.019531 51.958183 \r\n",
       "L 159.221106 51.863872 \r\n",
       "L 203.821893 51.593431 \r\n",
       "L 233.555752 51.181215 \r\n",
       "L 255.856145 50.661496 \r\n",
       "L 278.156539 49.884049 \r\n",
       "L 293.023468 49.184664 \r\n",
       "L 307.890397 48.314401 \r\n",
       "L 322.757327 47.253895 \r\n",
       "L 337.624256 45.988903 \r\n",
       "L 352.491185 44.51281 \r\n",
       "L 367.358114 42.829088 \r\n",
       "L 382.225043 40.953415 \r\n",
       "L 404.525437 37.848132 \r\n",
       "L 463.993153 29.192583 \r\n",
       "L 478.860082 27.344108 \r\n",
       "L 493.727012 25.779815 \r\n",
       "L 508.593941 24.568117 \r\n",
       "L 523.46087 23.763045 \r\n",
       "L 530.894334 23.524911 \r\n",
       "L 538.327799 23.400155 \r\n",
       "L 545.761264 23.389895 \r\n",
       "L 553.194728 23.493854 \r\n",
       "L 568.061657 24.036424 \r\n",
       "L 582.928586 24.998843 \r\n",
       "L 597.795516 26.333306 \r\n",
       "L 612.662445 27.977136 \r\n",
       "L 627.529374 29.857656 \r\n",
       "L 649.829767 32.952963 \r\n",
       "L 686.99709 38.233101 \r\n",
       "L 709.297484 41.145722 \r\n",
       "L 724.164413 42.896141 \r\n",
       "L 739.031342 44.467776 \r\n",
       "L 753.898271 45.851292 \r\n",
       "L 768.765201 47.046788 \r\n",
       "L 783.63213 48.061781 \r\n",
       "L 798.499059 48.90914 \r\n",
       "L 820.799453 49.902063 \r\n",
       "L 843.099846 50.616043 \r\n",
       "L 865.40024 51.112043 \r\n",
       "L 895.134098 51.527909 \r\n",
       "L 932.301421 51.795569 \r\n",
       "L 991.769138 51.941331 \r\n",
       "L 1014.069531 51.955969 \r\n",
       "L 1014.069531 51.955969 \r\n",
       "\" style=\"fill:none;stroke:#90c1c6;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_2\">\r\n",
       "    <path d=\"M 70.019531 51.958183 \r\n",
       "L 159.221106 51.863872 \r\n",
       "L 203.821893 51.593431 \r\n",
       "L 233.555752 51.181215 \r\n",
       "L 255.856145 50.661496 \r\n",
       "L 278.156539 49.884049 \r\n",
       "L 293.023468 49.184664 \r\n",
       "L 307.890397 48.314401 \r\n",
       "L 322.757327 47.253895 \r\n",
       "L 337.624256 45.988903 \r\n",
       "L 352.491185 44.51281 \r\n",
       "L 367.358114 42.829088 \r\n",
       "L 382.225043 40.953415 \r\n",
       "L 404.525437 37.848132 \r\n",
       "L 463.993153 29.192583 \r\n",
       "L 478.860082 27.344108 \r\n",
       "L 493.727012 25.779815 \r\n",
       "L 508.593941 24.568117 \r\n",
       "L 523.46087 23.763045 \r\n",
       "L 530.894334 23.524911 \r\n",
       "L 538.327799 23.400155 \r\n",
       "L 545.761264 23.389895 \r\n",
       "L 553.194728 23.493854 \r\n",
       "L 568.061657 24.036424 \r\n",
       "L 582.928586 24.998843 \r\n",
       "L 597.795516 26.333306 \r\n",
       "L 612.662445 27.977136 \r\n",
       "L 627.529374 29.857656 \r\n",
       "L 649.829767 32.952963 \r\n",
       "L 686.99709 38.233101 \r\n",
       "L 709.297484 41.145722 \r\n",
       "L 724.164413 42.896141 \r\n",
       "L 739.031342 44.467776 \r\n",
       "L 753.898271 45.851292 \r\n",
       "L 768.765201 47.046788 \r\n",
       "L 783.63213 48.061781 \r\n",
       "L 798.499059 48.90914 \r\n",
       "L 820.799453 49.902063 \r\n",
       "L 843.099846 50.616043 \r\n",
       "L 865.40024 51.112043 \r\n",
       "L 895.134098 51.527909 \r\n",
       "L 932.301421 51.795569 \r\n",
       "L 991.769138 51.941331 \r\n",
       "L 1014.069531 51.955969 \r\n",
       "L 1014.069531 51.955969 \r\n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_3\">\r\n",
       "    <path d=\"M 22.817031 51.978125 \r\n",
       "L 1061.272031 51.978125 \r\n",
       "\" style=\"fill:none;stroke:#90c1c6;stroke-linecap:round;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_3\">\r\n",
       "    <path d=\"M 22.817031 51.978125 \r\n",
       "L 22.817031 21.789375 \r\n",
       "\" style=\"fill:none;stroke:#262626;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.25;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_4\">\r\n",
       "    <path d=\"M 22.817031 51.978125 \r\n",
       "L 1061.272031 51.978125 \r\n",
       "\" style=\"fill:none;stroke:#262626;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.25;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"text_3\">\r\n",
       "    <!-- bias = Center -->\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 14.703125 0 \r\n",
       "L 6.546875 0 \r\n",
       "L 6.546875 71.578125 \r\n",
       "L 15.328125 71.578125 \r\n",
       "L 15.328125 46.046875 \r\n",
       "Q 20.90625 53.03125 29.546875 53.03125 \r\n",
       "Q 34.328125 53.03125 38.59375 51.09375 \r\n",
       "Q 42.875 49.171875 45.625 45.671875 \r\n",
       "Q 48.390625 42.1875 49.953125 37.25 \r\n",
       "Q 51.515625 32.328125 51.515625 26.703125 \r\n",
       "Q 51.515625 13.375 44.921875 6.09375 \r\n",
       "Q 38.328125 -1.171875 29.109375 -1.171875 \r\n",
       "Q 19.921875 -1.171875 14.703125 6.5 \r\n",
       "z\r\n",
       "M 14.59375 26.3125 \r\n",
       "Q 14.59375 17 17.140625 12.84375 \r\n",
       "Q 21.296875 6.0625 28.375 6.0625 \r\n",
       "Q 34.125 6.0625 38.328125 11.0625 \r\n",
       "Q 42.53125 16.0625 42.53125 25.984375 \r\n",
       "Q 42.53125 36.140625 38.5 40.96875 \r\n",
       "Q 34.46875 45.796875 28.765625 45.796875 \r\n",
       "Q 23 45.796875 18.796875 40.796875 \r\n",
       "Q 14.59375 35.796875 14.59375 26.3125 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-98\"/>\r\n",
       "     <path d=\"M 6.640625 61.46875 \r\n",
       "L 6.640625 71.578125 \r\n",
       "L 15.4375 71.578125 \r\n",
       "L 15.4375 61.46875 \r\n",
       "z\r\n",
       "M 6.640625 0 \r\n",
       "L 6.640625 51.859375 \r\n",
       "L 15.4375 51.859375 \r\n",
       "L 15.4375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-105\"/>\r\n",
       "     <path d=\"M 40.4375 6.390625 \r\n",
       "Q 35.546875 2.25 31.03125 0.53125 \r\n",
       "Q 26.515625 -1.171875 21.34375 -1.171875 \r\n",
       "Q 12.796875 -1.171875 8.203125 3 \r\n",
       "Q 3.609375 7.171875 3.609375 13.671875 \r\n",
       "Q 3.609375 17.484375 5.34375 20.625 \r\n",
       "Q 7.078125 23.78125 9.890625 25.6875 \r\n",
       "Q 12.703125 27.59375 16.21875 28.5625 \r\n",
       "Q 18.796875 29.25 24.03125 29.890625 \r\n",
       "Q 34.671875 31.15625 39.703125 32.90625 \r\n",
       "Q 39.75 34.71875 39.75 35.203125 \r\n",
       "Q 39.75 40.578125 37.25 42.78125 \r\n",
       "Q 33.890625 45.75 27.25 45.75 \r\n",
       "Q 21.046875 45.75 18.09375 43.578125 \r\n",
       "Q 15.140625 41.40625 13.71875 35.890625 \r\n",
       "L 5.125 37.0625 \r\n",
       "Q 6.296875 42.578125 8.984375 45.96875 \r\n",
       "Q 11.671875 49.359375 16.75 51.1875 \r\n",
       "Q 21.828125 53.03125 28.515625 53.03125 \r\n",
       "Q 35.15625 53.03125 39.296875 51.46875 \r\n",
       "Q 43.453125 49.90625 45.40625 47.53125 \r\n",
       "Q 47.359375 45.171875 48.140625 41.546875 \r\n",
       "Q 48.578125 39.3125 48.578125 33.453125 \r\n",
       "L 48.578125 21.734375 \r\n",
       "Q 48.578125 9.46875 49.140625 6.21875 \r\n",
       "Q 49.703125 2.984375 51.375 0 \r\n",
       "L 42.1875 0 \r\n",
       "Q 40.828125 2.734375 40.4375 6.390625 \r\n",
       "z\r\n",
       "M 39.703125 26.03125 \r\n",
       "Q 34.90625 24.078125 25.34375 22.703125 \r\n",
       "Q 19.921875 21.921875 17.671875 20.9375 \r\n",
       "Q 15.4375 19.96875 14.203125 18.09375 \r\n",
       "Q 12.984375 16.21875 12.984375 13.921875 \r\n",
       "Q 12.984375 10.40625 15.640625 8.0625 \r\n",
       "Q 18.3125 5.71875 23.4375 5.71875 \r\n",
       "Q 28.515625 5.71875 32.46875 7.9375 \r\n",
       "Q 36.421875 10.15625 38.28125 14.015625 \r\n",
       "Q 39.703125 17 39.703125 22.796875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-97\"/>\r\n",
       "     <path d=\"M 3.078125 15.484375 \r\n",
       "L 11.765625 16.84375 \r\n",
       "Q 12.5 11.625 15.84375 8.84375 \r\n",
       "Q 19.1875 6.0625 25.203125 6.0625 \r\n",
       "Q 31.25 6.0625 34.171875 8.515625 \r\n",
       "Q 37.109375 10.984375 37.109375 14.3125 \r\n",
       "Q 37.109375 17.28125 34.515625 19 \r\n",
       "Q 32.71875 20.171875 25.53125 21.96875 \r\n",
       "Q 15.875 24.421875 12.140625 26.203125 \r\n",
       "Q 8.40625 27.984375 6.46875 31.125 \r\n",
       "Q 4.546875 34.28125 4.546875 38.09375 \r\n",
       "Q 4.546875 41.546875 6.125 44.5 \r\n",
       "Q 7.71875 47.46875 10.453125 49.421875 \r\n",
       "Q 12.5 50.921875 16.03125 51.96875 \r\n",
       "Q 19.578125 53.03125 23.640625 53.03125 \r\n",
       "Q 29.734375 53.03125 34.34375 51.265625 \r\n",
       "Q 38.96875 49.515625 41.15625 46.5 \r\n",
       "Q 43.359375 43.5 44.1875 38.484375 \r\n",
       "L 35.59375 37.3125 \r\n",
       "Q 35.015625 41.3125 32.203125 43.546875 \r\n",
       "Q 29.390625 45.796875 24.265625 45.796875 \r\n",
       "Q 18.21875 45.796875 15.625 43.796875 \r\n",
       "Q 13.03125 41.796875 13.03125 39.109375 \r\n",
       "Q 13.03125 37.40625 14.109375 36.03125 \r\n",
       "Q 15.1875 34.625 17.484375 33.6875 \r\n",
       "Q 18.796875 33.203125 25.25 31.453125 \r\n",
       "Q 34.578125 28.953125 38.25 27.359375 \r\n",
       "Q 41.9375 25.78125 44.03125 22.75 \r\n",
       "Q 46.140625 19.734375 46.140625 15.234375 \r\n",
       "Q 46.140625 10.84375 43.578125 6.953125 \r\n",
       "Q 41.015625 3.078125 36.171875 0.953125 \r\n",
       "Q 31.34375 -1.171875 25.25 -1.171875 \r\n",
       "Q 15.140625 -1.171875 9.84375 3.03125 \r\n",
       "Q 4.546875 7.234375 3.078125 15.484375 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-115\"/>\r\n",
       "     <path id=\"ArialMT-32\"/>\r\n",
       "     <path d=\"M 52.828125 42.09375 \r\n",
       "L 5.5625 42.09375 \r\n",
       "L 5.5625 50.296875 \r\n",
       "L 52.828125 50.296875 \r\n",
       "z\r\n",
       "M 52.828125 20.359375 \r\n",
       "L 5.5625 20.359375 \r\n",
       "L 5.5625 28.5625 \r\n",
       "L 52.828125 28.5625 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-61\"/>\r\n",
       "     <path d=\"M 58.796875 25.09375 \r\n",
       "L 68.265625 22.703125 \r\n",
       "Q 65.28125 11.03125 57.546875 4.90625 \r\n",
       "Q 49.8125 -1.21875 38.625 -1.21875 \r\n",
       "Q 27.046875 -1.21875 19.796875 3.484375 \r\n",
       "Q 12.546875 8.203125 8.765625 17.140625 \r\n",
       "Q 4.984375 26.078125 4.984375 36.328125 \r\n",
       "Q 4.984375 47.515625 9.25 55.828125 \r\n",
       "Q 13.53125 64.15625 21.40625 68.46875 \r\n",
       "Q 29.296875 72.796875 38.765625 72.796875 \r\n",
       "Q 49.515625 72.796875 56.828125 67.328125 \r\n",
       "Q 64.15625 61.859375 67.046875 51.953125 \r\n",
       "L 57.71875 49.75 \r\n",
       "Q 55.21875 57.5625 50.484375 61.125 \r\n",
       "Q 45.75 64.703125 38.578125 64.703125 \r\n",
       "Q 30.328125 64.703125 24.78125 60.734375 \r\n",
       "Q 19.234375 56.78125 16.984375 50.109375 \r\n",
       "Q 14.75 43.453125 14.75 36.375 \r\n",
       "Q 14.75 27.25 17.40625 20.4375 \r\n",
       "Q 20.0625 13.625 25.671875 10.25 \r\n",
       "Q 31.296875 6.890625 37.84375 6.890625 \r\n",
       "Q 45.796875 6.890625 51.3125 11.46875 \r\n",
       "Q 56.84375 16.0625 58.796875 25.09375 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-67\"/>\r\n",
       "     <path d=\"M 42.09375 16.703125 \r\n",
       "L 51.171875 15.578125 \r\n",
       "Q 49.03125 7.625 43.21875 3.21875 \r\n",
       "Q 37.40625 -1.171875 28.375 -1.171875 \r\n",
       "Q 17 -1.171875 10.328125 5.828125 \r\n",
       "Q 3.65625 12.84375 3.65625 25.484375 \r\n",
       "Q 3.65625 38.578125 10.390625 45.796875 \r\n",
       "Q 17.140625 53.03125 27.875 53.03125 \r\n",
       "Q 38.28125 53.03125 44.875 45.953125 \r\n",
       "Q 51.46875 38.875 51.46875 26.03125 \r\n",
       "Q 51.46875 25.25 51.421875 23.6875 \r\n",
       "L 12.75 23.6875 \r\n",
       "Q 13.234375 15.140625 17.578125 10.59375 \r\n",
       "Q 21.921875 6.0625 28.421875 6.0625 \r\n",
       "Q 33.25 6.0625 36.671875 8.59375 \r\n",
       "Q 40.09375 11.140625 42.09375 16.703125 \r\n",
       "z\r\n",
       "M 13.234375 30.90625 \r\n",
       "L 42.1875 30.90625 \r\n",
       "Q 41.609375 37.453125 38.875 40.71875 \r\n",
       "Q 34.671875 45.796875 27.984375 45.796875 \r\n",
       "Q 21.921875 45.796875 17.796875 41.75 \r\n",
       "Q 13.671875 37.703125 13.234375 30.90625 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-101\"/>\r\n",
       "     <path d=\"M 6.59375 0 \r\n",
       "L 6.59375 51.859375 \r\n",
       "L 14.5 51.859375 \r\n",
       "L 14.5 44.484375 \r\n",
       "Q 20.21875 53.03125 31 53.03125 \r\n",
       "Q 35.6875 53.03125 39.625 51.34375 \r\n",
       "Q 43.5625 49.65625 45.515625 46.921875 \r\n",
       "Q 47.46875 44.1875 48.25 40.4375 \r\n",
       "Q 48.734375 37.984375 48.734375 31.890625 \r\n",
       "L 48.734375 0 \r\n",
       "L 39.9375 0 \r\n",
       "L 39.9375 31.546875 \r\n",
       "Q 39.9375 36.921875 38.90625 39.578125 \r\n",
       "Q 37.890625 42.234375 35.28125 43.8125 \r\n",
       "Q 32.671875 45.40625 29.15625 45.40625 \r\n",
       "Q 23.53125 45.40625 19.453125 41.84375 \r\n",
       "Q 15.375 38.28125 15.375 28.328125 \r\n",
       "L 15.375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-110\"/>\r\n",
       "     <path d=\"M 25.78125 7.859375 \r\n",
       "L 27.046875 0.09375 \r\n",
       "Q 23.34375 -0.6875 20.40625 -0.6875 \r\n",
       "Q 15.625 -0.6875 12.984375 0.828125 \r\n",
       "Q 10.359375 2.34375 9.28125 4.8125 \r\n",
       "Q 8.203125 7.28125 8.203125 15.1875 \r\n",
       "L 8.203125 45.015625 \r\n",
       "L 1.765625 45.015625 \r\n",
       "L 1.765625 51.859375 \r\n",
       "L 8.203125 51.859375 \r\n",
       "L 8.203125 64.703125 \r\n",
       "L 16.9375 69.96875 \r\n",
       "L 16.9375 51.859375 \r\n",
       "L 25.78125 51.859375 \r\n",
       "L 25.78125 45.015625 \r\n",
       "L 16.9375 45.015625 \r\n",
       "L 16.9375 14.703125 \r\n",
       "Q 16.9375 10.9375 17.40625 9.859375 \r\n",
       "Q 17.875 8.796875 18.921875 8.15625 \r\n",
       "Q 19.96875 7.515625 21.921875 7.515625 \r\n",
       "Q 23.390625 7.515625 25.78125 7.859375 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-116\"/>\r\n",
       "     <path d=\"M 6.5 0 \r\n",
       "L 6.5 51.859375 \r\n",
       "L 14.40625 51.859375 \r\n",
       "L 14.40625 44 \r\n",
       "Q 17.4375 49.515625 20 51.265625 \r\n",
       "Q 22.5625 53.03125 25.640625 53.03125 \r\n",
       "Q 30.078125 53.03125 34.671875 50.203125 \r\n",
       "L 31.640625 42.046875 \r\n",
       "Q 28.421875 43.953125 25.203125 43.953125 \r\n",
       "Q 22.3125 43.953125 20.015625 42.21875 \r\n",
       "Q 17.71875 40.484375 16.75 37.40625 \r\n",
       "Q 15.28125 32.71875 15.28125 27.15625 \r\n",
       "L 15.28125 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-114\"/>\r\n",
       "    </defs>\r\n",
       "    <g style=\"fill:#262626;\" transform=\"translate(506.192656 15.789375)scale(0.12 -0.12)\">\r\n",
       "     <use xlink:href=\"#ArialMT-98\"/>\r\n",
       "     <use x=\"55.615234\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "     <use x=\"77.832031\" xlink:href=\"#ArialMT-97\"/>\r\n",
       "     <use x=\"133.447266\" xlink:href=\"#ArialMT-115\"/>\r\n",
       "     <use x=\"183.447266\" xlink:href=\"#ArialMT-32\"/>\r\n",
       "     <use x=\"211.230469\" xlink:href=\"#ArialMT-61\"/>\r\n",
       "     <use x=\"269.628906\" xlink:href=\"#ArialMT-32\"/>\r\n",
       "     <use x=\"297.412109\" xlink:href=\"#ArialMT-67\"/>\r\n",
       "     <use x=\"369.628906\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "     <use x=\"425.244141\" xlink:href=\"#ArialMT-110\"/>\r\n",
       "     <use x=\"480.859375\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "     <use x=\"508.642578\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "     <use x=\"564.257812\" xlink:href=\"#ArialMT-114\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_2\">\r\n",
       "   <g id=\"patch_5\">\r\n",
       "    <path d=\"M 22.817031 115.17375 \r\n",
       "L 1061.272031 115.17375 \r\n",
       "L 1061.272031 84.985 \r\n",
       "L 22.817031 84.985 \r\n",
       "z\r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_3\">\r\n",
       "    <g id=\"xtick_9\"/>\r\n",
       "    <g id=\"xtick_10\"/>\r\n",
       "    <g id=\"xtick_11\"/>\r\n",
       "    <g id=\"xtick_12\"/>\r\n",
       "    <g id=\"xtick_13\"/>\r\n",
       "    <g id=\"xtick_14\"/>\r\n",
       "    <g id=\"xtick_15\"/>\r\n",
       "    <g id=\"xtick_16\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_4\">\r\n",
       "    <g id=\"ytick_3\">\r\n",
       "     <g id=\"text_4\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 119.110547)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_4\">\r\n",
       "     <g id=\"text_5\">\r\n",
       "      <!-- 1 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 102.077917)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-49\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"PolyCollection_2\">\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 119.706356 -89.986208 \r\n",
       "L 119.706356 -89.955469 \r\n",
       "L 126.748586 -89.955469 \r\n",
       "L 133.790815 -89.955469 \r\n",
       "L 140.833045 -89.955469 \r\n",
       "L 147.875275 -89.955469 \r\n",
       "L 154.917505 -89.955469 \r\n",
       "L 161.959734 -89.955469 \r\n",
       "L 169.001964 -89.955469 \r\n",
       "L 176.044194 -89.955469 \r\n",
       "L 183.086423 -89.955469 \r\n",
       "L 190.128653 -89.955469 \r\n",
       "L 197.170883 -89.955469 \r\n",
       "L 204.213113 -89.955469 \r\n",
       "L 211.255342 -89.955469 \r\n",
       "L 218.297572 -89.955469 \r\n",
       "L 225.339802 -89.955469 \r\n",
       "L 232.382032 -89.955469 \r\n",
       "L 239.424261 -89.955469 \r\n",
       "L 246.466491 -89.955469 \r\n",
       "L 253.508721 -89.955469 \r\n",
       "L 260.55095 -89.955469 \r\n",
       "L 267.59318 -89.955469 \r\n",
       "L 274.63541 -89.955469 \r\n",
       "L 281.67764 -89.955469 \r\n",
       "L 288.719869 -89.955469 \r\n",
       "L 295.762099 -89.955469 \r\n",
       "L 302.804329 -89.955469 \r\n",
       "L 309.846559 -89.955469 \r\n",
       "L 316.888788 -89.955469 \r\n",
       "L 323.931018 -89.955469 \r\n",
       "L 330.973248 -89.955469 \r\n",
       "L 338.015477 -89.955469 \r\n",
       "L 345.057707 -89.955469 \r\n",
       "L 352.099937 -89.955469 \r\n",
       "L 359.142167 -89.955469 \r\n",
       "L 366.184396 -89.955469 \r\n",
       "L 373.226626 -89.955469 \r\n",
       "L 380.268856 -89.955469 \r\n",
       "L 387.311086 -89.955469 \r\n",
       "L 394.353315 -89.955469 \r\n",
       "L 401.395545 -89.955469 \r\n",
       "L 408.437775 -89.955469 \r\n",
       "L 415.480004 -89.955469 \r\n",
       "L 422.522234 -89.955469 \r\n",
       "L 429.564464 -89.955469 \r\n",
       "L 436.606694 -89.955469 \r\n",
       "L 443.648923 -89.955469 \r\n",
       "L 450.691153 -89.955469 \r\n",
       "L 457.733383 -89.955469 \r\n",
       "L 464.775613 -89.955469 \r\n",
       "L 471.817842 -89.955469 \r\n",
       "L 478.860072 -89.955469 \r\n",
       "L 485.902302 -89.955469 \r\n",
       "L 492.944531 -89.955469 \r\n",
       "L 499.986761 -89.955469 \r\n",
       "L 507.028991 -89.955469 \r\n",
       "L 514.071221 -89.955469 \r\n",
       "L 521.11345 -89.955469 \r\n",
       "L 528.15568 -89.955469 \r\n",
       "L 535.19791 -89.955469 \r\n",
       "L 542.24014 -89.955469 \r\n",
       "L 549.282369 -89.955469 \r\n",
       "L 556.324599 -89.955469 \r\n",
       "L 563.366829 -89.955469 \r\n",
       "L 570.409058 -89.955469 \r\n",
       "L 577.451288 -89.955469 \r\n",
       "L 584.493518 -89.955469 \r\n",
       "L 591.535748 -89.955469 \r\n",
       "L 598.577977 -89.955469 \r\n",
       "L 605.620207 -89.955469 \r\n",
       "L 612.662437 -89.955469 \r\n",
       "L 619.704667 -89.955469 \r\n",
       "L 626.746896 -89.955469 \r\n",
       "L 633.789126 -89.955469 \r\n",
       "L 640.831356 -89.955469 \r\n",
       "L 647.873585 -89.955469 \r\n",
       "L 654.915815 -89.955469 \r\n",
       "L 661.958045 -89.955469 \r\n",
       "L 669.000275 -89.955469 \r\n",
       "L 676.042504 -89.955469 \r\n",
       "L 683.084734 -89.955469 \r\n",
       "L 690.126964 -89.955469 \r\n",
       "L 697.169194 -89.955469 \r\n",
       "L 704.211423 -89.955469 \r\n",
       "L 711.253653 -89.955469 \r\n",
       "L 718.295883 -89.955469 \r\n",
       "L 725.338112 -89.955469 \r\n",
       "L 732.380342 -89.955469 \r\n",
       "L 739.422572 -89.955469 \r\n",
       "L 746.464802 -89.955469 \r\n",
       "L 753.507031 -89.955469 \r\n",
       "L 760.549261 -89.955469 \r\n",
       "L 767.591491 -89.955469 \r\n",
       "L 774.633721 -89.955469 \r\n",
       "L 781.67595 -89.955469 \r\n",
       "L 788.71818 -89.955469 \r\n",
       "L 795.76041 -89.955469 \r\n",
       "L 802.802639 -89.955469 \r\n",
       "L 809.844869 -89.955469 \r\n",
       "L 816.887099 -89.955469 \r\n",
       "L 823.929329 -89.955469 \r\n",
       "L 830.971558 -89.955469 \r\n",
       "L 838.013788 -89.955469 \r\n",
       "L 845.056018 -89.955469 \r\n",
       "L 852.098248 -89.955469 \r\n",
       "L 859.140477 -89.955469 \r\n",
       "L 866.182707 -89.955469 \r\n",
       "L 873.224937 -89.955469 \r\n",
       "L 880.267166 -89.955469 \r\n",
       "L 887.309396 -89.955469 \r\n",
       "L 894.351626 -89.955469 \r\n",
       "L 901.393856 -89.955469 \r\n",
       "L 908.436085 -89.955469 \r\n",
       "L 915.478315 -89.955469 \r\n",
       "L 922.520545 -89.955469 \r\n",
       "L 929.562775 -89.955469 \r\n",
       "L 936.605004 -89.955469 \r\n",
       "L 943.647234 -89.955469 \r\n",
       "L 950.689464 -89.955469 \r\n",
       "L 957.731693 -89.955469 \r\n",
       "L 964.773923 -89.955469 \r\n",
       "L 971.816153 -89.955469 \r\n",
       "L 978.858383 -89.955469 \r\n",
       "L 985.900612 -89.955469 \r\n",
       "L 992.942842 -89.955469 \r\n",
       "L 999.985072 -89.955469 \r\n",
       "L 1007.027302 -89.955469 \r\n",
       "L 1014.069531 -89.955469 \r\n",
       "L 1014.069531 -89.984056 \r\n",
       "L 1014.069531 -89.984056 \r\n",
       "L 1007.027302 -89.983522 \r\n",
       "L 999.985072 -89.984583 \r\n",
       "L 992.942842 -89.987283 \r\n",
       "L 985.900612 -89.991725 \r\n",
       "L 978.858383 -89.998079 \r\n",
       "L 971.816153 -90.006582 \r\n",
       "L 964.773923 -90.017544 \r\n",
       "L 957.731693 -90.031351 \r\n",
       "L 950.689464 -90.048469 \r\n",
       "L 943.647234 -90.069456 \r\n",
       "L 936.605004 -90.09496 \r\n",
       "L 929.562775 -90.125734 \r\n",
       "L 922.520545 -90.162638 \r\n",
       "L 915.478315 -90.206649 \r\n",
       "L 908.436085 -90.258862 \r\n",
       "L 901.393856 -90.320501 \r\n",
       "L 894.351626 -90.39292 \r\n",
       "L 887.309396 -90.477602 \r\n",
       "L 880.267166 -90.576167 \r\n",
       "L 873.224937 -90.690362 \r\n",
       "L 866.182707 -90.82206 \r\n",
       "L 859.140477 -90.973249 \r\n",
       "L 852.098248 -91.146021 \r\n",
       "L 845.056018 -91.342558 \r\n",
       "L 838.013788 -91.565106 \r\n",
       "L 830.971558 -91.815955 \r\n",
       "L 823.929329 -92.097409 \r\n",
       "L 816.887099 -92.411752 \r\n",
       "L 809.844869 -92.761209 \r\n",
       "L 802.802639 -93.147908 \r\n",
       "L 795.76041 -93.57383 \r\n",
       "L 788.71818 -94.040766 \r\n",
       "L 781.67595 -94.550263 \r\n",
       "L 774.633721 -95.103574 \r\n",
       "L 767.591491 -95.701608 \r\n",
       "L 760.549261 -96.344877 \r\n",
       "L 753.507031 -97.033444 \r\n",
       "L 746.464802 -97.766883 \r\n",
       "L 739.422572 -98.544233 \r\n",
       "L 732.380342 -99.363962 \r\n",
       "L 725.338112 -100.22394 \r\n",
       "L 718.295883 -101.121414 \r\n",
       "L 711.253653 -102.052998 \r\n",
       "L 704.211423 -103.014672 \r\n",
       "L 697.169194 -104.001786 \r\n",
       "L 690.126964 -105.009082 \r\n",
       "L 683.084734 -106.030726 \r\n",
       "L 676.042504 -107.060347 \r\n",
       "L 669.000275 -108.091097 \r\n",
       "L 661.958045 -109.115711 \r\n",
       "L 654.915815 -110.126586 \r\n",
       "L 647.873585 -111.115867 \r\n",
       "L 640.831356 -112.075539 \r\n",
       "L 633.789126 -112.99753 \r\n",
       "L 626.746896 -113.873815 \r\n",
       "L 619.704667 -114.696531 \r\n",
       "L 612.662437 -115.458084 \r\n",
       "L 605.620207 -116.151262 \r\n",
       "L 598.577977 -116.769347 \r\n",
       "L 591.535748 -117.306215 \r\n",
       "L 584.493518 -117.756435 \r\n",
       "L 577.451288 -118.11536 \r\n",
       "L 570.409058 -118.379203 \r\n",
       "L 563.366829 -118.545103 \r\n",
       "L 556.324599 -118.611174 \r\n",
       "L 549.282369 -118.576546 \r\n",
       "L 542.24014 -118.44138 \r\n",
       "L 535.19791 -118.206872 \r\n",
       "L 528.15568 -117.87524 \r\n",
       "L 521.11345 -117.449689 \r\n",
       "L 514.071221 -116.934365 \r\n",
       "L 507.028991 -116.334292 \r\n",
       "L 499.986761 -115.655291 \r\n",
       "L 492.944531 -114.903889 \r\n",
       "L 485.902302 -114.087218 \r\n",
       "L 478.860072 -113.212906 \r\n",
       "L 471.817842 -112.288955 \r\n",
       "L 464.775613 -111.323624 \r\n",
       "L 457.733383 -110.325306 \r\n",
       "L 450.691153 -109.302407 \r\n",
       "L 443.648923 -108.263228 \r\n",
       "L 436.606694 -107.215855 \r\n",
       "L 429.564464 -106.168058 \r\n",
       "L 422.522234 -105.127193 \r\n",
       "L 415.480004 -104.100126 \r\n",
       "L 408.437775 -103.093164 \r\n",
       "L 401.395545 -102.111998 \r\n",
       "L 394.353315 -101.161662 \r\n",
       "L 387.311086 -100.246511 \r\n",
       "L 380.268856 -99.370202 \r\n",
       "L 373.226626 -98.535696 \r\n",
       "L 366.184396 -97.745276 \r\n",
       "L 359.142167 -97.000561 \r\n",
       "L 352.099937 -96.302548 \r\n",
       "L 345.057707 -95.651647 \r\n",
       "L 338.015477 -95.047734 \r\n",
       "L 330.973248 -94.490201 \r\n",
       "L 323.931018 -93.978014 \r\n",
       "L 316.888788 -93.509773 \r\n",
       "L 309.846559 -93.083768 \r\n",
       "L 302.804329 -92.698039 \r\n",
       "L 295.762099 -92.350432 \r\n",
       "L 288.719869 -92.038652 \r\n",
       "L 281.67764 -91.760313 \r\n",
       "L 274.63541 -91.512981 \r\n",
       "L 267.59318 -91.294219 \r\n",
       "L 260.55095 -91.101614 \r\n",
       "L 253.508721 -90.932817 \r\n",
       "L 246.466491 -90.78556 \r\n",
       "L 239.424261 -90.657678 \r\n",
       "L 232.382032 -90.547129 \r\n",
       "L 225.339802 -90.451999 \r\n",
       "L 218.297572 -90.37051 \r\n",
       "L 211.255342 -90.301028 \r\n",
       "L 204.213113 -90.242059 \r\n",
       "L 197.170883 -90.192252 \r\n",
       "L 190.128653 -90.15039 \r\n",
       "L 183.086423 -90.115389 \r\n",
       "L 176.044194 -90.086289 \r\n",
       "L 169.001964 -90.062248 \r\n",
       "L 161.959734 -90.042535 \r\n",
       "L 154.917505 -90.02652 \r\n",
       "L 147.875275 -90.013671 \r\n",
       "L 140.833045 -90.003542 \r\n",
       "L 133.790815 -89.995768 \r\n",
       "L 126.748586 -89.990063 \r\n",
       "L 119.706356 -89.986208 \r\n",
       "z\r\n",
       "\" id=\"m276722a140\" style=\"stroke:#ffffff;\"/>\r\n",
       "    </defs>\r\n",
       "    <g>\r\n",
       "     <use style=\"fill:#7eb1bc;stroke:#ffffff;\" x=\"0\" xlink:href=\"#m276722a140\" y=\"205.129219\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_4\">\r\n",
       "    <path d=\"M 119.706356 115.14301 \r\n",
       "L 183.086423 115.01383 \r\n",
       "L 218.297572 114.758709 \r\n",
       "L 246.466491 114.343659 \r\n",
       "L 267.59318 113.835 \r\n",
       "L 288.719869 113.090567 \r\n",
       "L 309.846559 112.045451 \r\n",
       "L 323.931018 111.151205 \r\n",
       "L 338.015477 110.081485 \r\n",
       "L 352.099937 108.826671 \r\n",
       "L 366.184396 107.383943 \r\n",
       "L 380.268856 105.759017 \r\n",
       "L 394.353315 103.967556 \r\n",
       "L 415.480004 101.029093 \r\n",
       "L 471.817842 92.840264 \r\n",
       "L 485.902302 91.042 \r\n",
       "L 499.986761 89.473928 \r\n",
       "L 514.071221 88.194854 \r\n",
       "L 528.15568 87.253979 \r\n",
       "L 542.24014 86.687839 \r\n",
       "L 556.324599 86.518045 \r\n",
       "L 570.409058 86.750016 \r\n",
       "L 584.493518 87.372784 \r\n",
       "L 598.577977 88.359872 \r\n",
       "L 612.662437 89.671135 \r\n",
       "L 626.746896 91.255404 \r\n",
       "L 640.831356 93.05368 \r\n",
       "L 661.958045 96.013508 \r\n",
       "L 711.253653 103.07622 \r\n",
       "L 732.380342 105.765257 \r\n",
       "L 746.464802 107.362336 \r\n",
       "L 760.549261 108.784342 \r\n",
       "L 774.633721 110.025645 \r\n",
       "L 788.71818 111.088453 \r\n",
       "L 802.802639 111.981311 \r\n",
       "L 823.929329 113.03181 \r\n",
       "L 845.056018 113.786661 \r\n",
       "L 866.182707 114.307159 \r\n",
       "L 894.351626 114.736299 \r\n",
       "L 929.562775 115.003485 \r\n",
       "L 978.858383 115.13114 \r\n",
       "L 1014.069531 115.145163 \r\n",
       "L 1014.069531 115.145163 \r\n",
       "\" style=\"fill:none;stroke:#7eb1bc;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_5\">\r\n",
       "    <path d=\"M 119.706356 115.14301 \r\n",
       "L 183.086423 115.01383 \r\n",
       "L 218.297572 114.758709 \r\n",
       "L 246.466491 114.343659 \r\n",
       "L 267.59318 113.835 \r\n",
       "L 288.719869 113.090567 \r\n",
       "L 309.846559 112.045451 \r\n",
       "L 323.931018 111.151205 \r\n",
       "L 338.015477 110.081485 \r\n",
       "L 352.099937 108.826671 \r\n",
       "L 366.184396 107.383943 \r\n",
       "L 380.268856 105.759017 \r\n",
       "L 394.353315 103.967556 \r\n",
       "L 415.480004 101.029093 \r\n",
       "L 471.817842 92.840264 \r\n",
       "L 485.902302 91.042 \r\n",
       "L 499.986761 89.473928 \r\n",
       "L 514.071221 88.194854 \r\n",
       "L 528.15568 87.253979 \r\n",
       "L 542.24014 86.687839 \r\n",
       "L 556.324599 86.518045 \r\n",
       "L 570.409058 86.750016 \r\n",
       "L 584.493518 87.372784 \r\n",
       "L 598.577977 88.359872 \r\n",
       "L 612.662437 89.671135 \r\n",
       "L 626.746896 91.255404 \r\n",
       "L 640.831356 93.05368 \r\n",
       "L 661.958045 96.013508 \r\n",
       "L 711.253653 103.07622 \r\n",
       "L 732.380342 105.765257 \r\n",
       "L 746.464802 107.362336 \r\n",
       "L 760.549261 108.784342 \r\n",
       "L 774.633721 110.025645 \r\n",
       "L 788.71818 111.088453 \r\n",
       "L 802.802639 111.981311 \r\n",
       "L 823.929329 113.03181 \r\n",
       "L 845.056018 113.786661 \r\n",
       "L 866.182707 114.307159 \r\n",
       "L 894.351626 114.736299 \r\n",
       "L 929.562775 115.003485 \r\n",
       "L 978.858383 115.13114 \r\n",
       "L 1014.069531 115.145163 \r\n",
       "L 1014.069531 115.145163 \r\n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_6\">\r\n",
       "    <path d=\"M 22.817031 115.17375 \r\n",
       "L 1061.272031 115.17375 \r\n",
       "\" style=\"fill:none;stroke:#7eb1bc;stroke-linecap:round;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_6\">\r\n",
       "    <path d=\"M 22.817031 115.17375 \r\n",
       "L 22.817031 84.985 \r\n",
       "\" style=\"fill:none;stroke:#262626;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.25;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_7\">\r\n",
       "    <path d=\"M 22.817031 115.17375 \r\n",
       "L 1061.272031 115.17375 \r\n",
       "\" style=\"fill:none;stroke:#262626;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.25;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"text_6\">\r\n",
       "    <!-- bias = Right -->\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 7.859375 0 \r\n",
       "L 7.859375 71.578125 \r\n",
       "L 39.59375 71.578125 \r\n",
       "Q 49.171875 71.578125 54.140625 69.640625 \r\n",
       "Q 59.125 67.71875 62.109375 62.828125 \r\n",
       "Q 65.09375 57.953125 65.09375 52.046875 \r\n",
       "Q 65.09375 44.4375 60.15625 39.203125 \r\n",
       "Q 55.21875 33.984375 44.921875 32.5625 \r\n",
       "Q 48.6875 30.765625 50.640625 29 \r\n",
       "Q 54.78125 25.203125 58.5 19.484375 \r\n",
       "L 70.953125 0 \r\n",
       "L 59.03125 0 \r\n",
       "L 49.5625 14.890625 \r\n",
       "Q 45.40625 21.34375 42.71875 24.75 \r\n",
       "Q 40.046875 28.171875 37.921875 29.53125 \r\n",
       "Q 35.796875 30.90625 33.59375 31.453125 \r\n",
       "Q 31.984375 31.78125 28.328125 31.78125 \r\n",
       "L 17.328125 31.78125 \r\n",
       "L 17.328125 0 \r\n",
       "z\r\n",
       "M 17.328125 39.984375 \r\n",
       "L 37.703125 39.984375 \r\n",
       "Q 44.1875 39.984375 47.84375 41.328125 \r\n",
       "Q 51.515625 42.671875 53.421875 45.625 \r\n",
       "Q 55.328125 48.578125 55.328125 52.046875 \r\n",
       "Q 55.328125 57.125 51.640625 60.390625 \r\n",
       "Q 47.953125 63.671875 39.984375 63.671875 \r\n",
       "L 17.328125 63.671875 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-82\"/>\r\n",
       "     <path d=\"M 4.984375 -4.296875 \r\n",
       "L 13.53125 -5.5625 \r\n",
       "Q 14.0625 -9.515625 16.5 -11.328125 \r\n",
       "Q 19.78125 -13.765625 25.4375 -13.765625 \r\n",
       "Q 31.546875 -13.765625 34.859375 -11.328125 \r\n",
       "Q 38.1875 -8.890625 39.359375 -4.5 \r\n",
       "Q 40.046875 -1.8125 39.984375 6.78125 \r\n",
       "Q 34.234375 0 25.640625 0 \r\n",
       "Q 14.9375 0 9.078125 7.71875 \r\n",
       "Q 3.21875 15.4375 3.21875 26.21875 \r\n",
       "Q 3.21875 33.640625 5.90625 39.90625 \r\n",
       "Q 8.59375 46.1875 13.6875 49.609375 \r\n",
       "Q 18.796875 53.03125 25.6875 53.03125 \r\n",
       "Q 34.859375 53.03125 40.828125 45.609375 \r\n",
       "L 40.828125 51.859375 \r\n",
       "L 48.921875 51.859375 \r\n",
       "L 48.921875 7.03125 \r\n",
       "Q 48.921875 -5.078125 46.453125 -10.125 \r\n",
       "Q 44 -15.1875 38.640625 -18.109375 \r\n",
       "Q 33.296875 -21.046875 25.484375 -21.046875 \r\n",
       "Q 16.21875 -21.046875 10.5 -16.875 \r\n",
       "Q 4.78125 -12.703125 4.984375 -4.296875 \r\n",
       "z\r\n",
       "M 12.25 26.859375 \r\n",
       "Q 12.25 16.65625 16.296875 11.96875 \r\n",
       "Q 20.359375 7.28125 26.46875 7.28125 \r\n",
       "Q 32.515625 7.28125 36.609375 11.9375 \r\n",
       "Q 40.71875 16.609375 40.71875 26.5625 \r\n",
       "Q 40.71875 36.078125 36.5 40.90625 \r\n",
       "Q 32.28125 45.75 26.3125 45.75 \r\n",
       "Q 20.453125 45.75 16.34375 40.984375 \r\n",
       "Q 12.25 36.234375 12.25 26.859375 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-103\"/>\r\n",
       "     <path d=\"M 6.59375 0 \r\n",
       "L 6.59375 71.578125 \r\n",
       "L 15.375 71.578125 \r\n",
       "L 15.375 45.90625 \r\n",
       "Q 21.53125 53.03125 30.90625 53.03125 \r\n",
       "Q 36.671875 53.03125 40.921875 50.75 \r\n",
       "Q 45.171875 48.484375 47 44.484375 \r\n",
       "Q 48.828125 40.484375 48.828125 32.859375 \r\n",
       "L 48.828125 0 \r\n",
       "L 40.046875 0 \r\n",
       "L 40.046875 32.859375 \r\n",
       "Q 40.046875 39.453125 37.1875 42.453125 \r\n",
       "Q 34.328125 45.453125 29.109375 45.453125 \r\n",
       "Q 25.203125 45.453125 21.75 43.421875 \r\n",
       "Q 18.3125 41.40625 16.84375 37.9375 \r\n",
       "Q 15.375 34.46875 15.375 28.375 \r\n",
       "L 15.375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-104\"/>\r\n",
       "    </defs>\r\n",
       "    <g style=\"fill:#262626;\" transform=\"translate(510.193906 78.985)scale(0.12 -0.12)\">\r\n",
       "     <use xlink:href=\"#ArialMT-98\"/>\r\n",
       "     <use x=\"55.615234\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "     <use x=\"77.832031\" xlink:href=\"#ArialMT-97\"/>\r\n",
       "     <use x=\"133.447266\" xlink:href=\"#ArialMT-115\"/>\r\n",
       "     <use x=\"183.447266\" xlink:href=\"#ArialMT-32\"/>\r\n",
       "     <use x=\"211.230469\" xlink:href=\"#ArialMT-61\"/>\r\n",
       "     <use x=\"269.628906\" xlink:href=\"#ArialMT-32\"/>\r\n",
       "     <use x=\"297.412109\" xlink:href=\"#ArialMT-82\"/>\r\n",
       "     <use x=\"369.628906\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "     <use x=\"391.845703\" xlink:href=\"#ArialMT-103\"/>\r\n",
       "     <use x=\"447.460938\" xlink:href=\"#ArialMT-104\"/>\r\n",
       "     <use x=\"503.076172\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       "  <g id=\"axes_3\">\r\n",
       "   <g id=\"patch_8\">\r\n",
       "    <path d=\"M 22.817031 178.369375 \r\n",
       "L 1061.272031 178.369375 \r\n",
       "L 1061.272031 148.180625 \r\n",
       "L 22.817031 148.180625 \r\n",
       "z\r\n",
       "\" style=\"fill:none;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_5\">\r\n",
       "    <g id=\"xtick_17\">\r\n",
       "     <g id=\"text_7\">\r\n",
       "      <!-- −1.25 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 52.828125 31.203125 \r\n",
       "L 5.5625 31.203125 \r\n",
       "L 5.5625 39.40625 \r\n",
       "L 52.828125 39.40625 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-8722\"/>\r\n",
       "       <path d=\"M 9.078125 0 \r\n",
       "L 9.078125 10.015625 \r\n",
       "L 19.09375 10.015625 \r\n",
       "L 19.09375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-46\"/>\r\n",
       "       <path d=\"M 50.34375 8.453125 \r\n",
       "L 50.34375 0 \r\n",
       "L 3.03125 0 \r\n",
       "Q 2.9375 3.171875 4.046875 6.109375 \r\n",
       "Q 5.859375 10.9375 9.828125 15.625 \r\n",
       "Q 13.8125 20.3125 21.34375 26.46875 \r\n",
       "Q 33.015625 36.03125 37.109375 41.625 \r\n",
       "Q 41.21875 47.21875 41.21875 52.203125 \r\n",
       "Q 41.21875 57.421875 37.46875 61 \r\n",
       "Q 33.734375 64.59375 27.734375 64.59375 \r\n",
       "Q 21.390625 64.59375 17.578125 60.78125 \r\n",
       "Q 13.765625 56.984375 13.71875 50.25 \r\n",
       "L 4.6875 51.171875 \r\n",
       "Q 5.609375 61.28125 11.65625 66.578125 \r\n",
       "Q 17.71875 71.875 27.9375 71.875 \r\n",
       "Q 38.234375 71.875 44.234375 66.15625 \r\n",
       "Q 50.25 60.453125 50.25 52 \r\n",
       "Q 50.25 47.703125 48.484375 43.546875 \r\n",
       "Q 46.734375 39.40625 42.65625 34.8125 \r\n",
       "Q 38.578125 30.21875 29.109375 22.21875 \r\n",
       "Q 21.1875 15.578125 18.9375 13.203125 \r\n",
       "Q 16.703125 10.84375 15.234375 8.453125 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-50\"/>\r\n",
       "       <path d=\"M 4.15625 18.75 \r\n",
       "L 13.375 19.53125 \r\n",
       "Q 14.40625 12.796875 18.140625 9.390625 \r\n",
       "Q 21.875 6 27.15625 6 \r\n",
       "Q 33.5 6 37.890625 10.78125 \r\n",
       "Q 42.28125 15.578125 42.28125 23.484375 \r\n",
       "Q 42.28125 31 38.0625 35.34375 \r\n",
       "Q 33.84375 39.703125 27 39.703125 \r\n",
       "Q 22.75 39.703125 19.328125 37.765625 \r\n",
       "Q 15.921875 35.84375 13.96875 32.765625 \r\n",
       "L 5.71875 33.84375 \r\n",
       "L 12.640625 70.609375 \r\n",
       "L 48.25 70.609375 \r\n",
       "L 48.25 62.203125 \r\n",
       "L 19.671875 62.203125 \r\n",
       "L 15.828125 42.96875 \r\n",
       "Q 22.265625 47.46875 29.34375 47.46875 \r\n",
       "Q 38.71875 47.46875 45.15625 40.96875 \r\n",
       "Q 51.609375 34.46875 51.609375 24.265625 \r\n",
       "Q 51.609375 14.546875 45.953125 7.46875 \r\n",
       "Q 39.0625 -1.21875 27.15625 -1.21875 \r\n",
       "Q 17.390625 -1.21875 11.203125 4.25 \r\n",
       "Q 5.03125 9.71875 4.15625 18.75 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-53\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(80.947087 195.742969)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-8722\"/>\r\n",
       "       <use x=\"58.398438\" xlink:href=\"#ArialMT-49\"/>\r\n",
       "       <use x=\"114.013672\" xlink:href=\"#ArialMT-46\"/>\r\n",
       "       <use x=\"141.796875\" xlink:href=\"#ArialMT-50\"/>\r\n",
       "       <use x=\"197.412109\" xlink:href=\"#ArialMT-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_18\">\r\n",
       "     <g id=\"text_8\">\r\n",
       "      <!-- −1.00 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(205.164193 195.742969)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-8722\"/>\r\n",
       "       <use x=\"58.398438\" xlink:href=\"#ArialMT-49\"/>\r\n",
       "       <use x=\"114.013672\" xlink:href=\"#ArialMT-46\"/>\r\n",
       "       <use x=\"141.796875\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "       <use x=\"197.412109\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_19\">\r\n",
       "     <g id=\"text_9\">\r\n",
       "      <!-- −0.75 -->\r\n",
       "      <defs>\r\n",
       "       <path d=\"M 4.734375 62.203125 \r\n",
       "L 4.734375 70.65625 \r\n",
       "L 51.078125 70.65625 \r\n",
       "L 51.078125 63.8125 \r\n",
       "Q 44.234375 56.546875 37.515625 44.484375 \r\n",
       "Q 30.8125 32.421875 27.15625 19.671875 \r\n",
       "Q 24.515625 10.6875 23.78125 0 \r\n",
       "L 14.75 0 \r\n",
       "Q 14.890625 8.453125 18.0625 20.40625 \r\n",
       "Q 21.234375 32.375 27.171875 43.484375 \r\n",
       "Q 33.109375 54.59375 39.796875 62.203125 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-55\"/>\r\n",
       "      </defs>\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(329.381299 195.742969)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-8722\"/>\r\n",
       "       <use x=\"58.398438\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "       <use x=\"114.013672\" xlink:href=\"#ArialMT-46\"/>\r\n",
       "       <use x=\"141.796875\" xlink:href=\"#ArialMT-55\"/>\r\n",
       "       <use x=\"197.412109\" xlink:href=\"#ArialMT-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_20\">\r\n",
       "     <g id=\"text_10\">\r\n",
       "      <!-- −0.50 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(453.598405 195.742969)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-8722\"/>\r\n",
       "       <use x=\"58.398438\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "       <use x=\"114.013672\" xlink:href=\"#ArialMT-46\"/>\r\n",
       "       <use x=\"141.796875\" xlink:href=\"#ArialMT-53\"/>\r\n",
       "       <use x=\"197.412109\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_21\">\r\n",
       "     <g id=\"text_11\">\r\n",
       "      <!-- −0.25 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(577.815511 195.742969)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-8722\"/>\r\n",
       "       <use x=\"58.398438\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "       <use x=\"114.013672\" xlink:href=\"#ArialMT-46\"/>\r\n",
       "       <use x=\"141.796875\" xlink:href=\"#ArialMT-50\"/>\r\n",
       "       <use x=\"197.412109\" xlink:href=\"#ArialMT-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_22\">\r\n",
       "     <g id=\"text_12\">\r\n",
       "      <!-- 0.00 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(705.244961 195.742969)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-48\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-46\"/>\r\n",
       "       <use x=\"83.398438\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "       <use x=\"139.013672\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_23\">\r\n",
       "     <g id=\"text_13\">\r\n",
       "      <!-- 0.25 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(829.462067 195.742969)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-48\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-46\"/>\r\n",
       "       <use x=\"83.398438\" xlink:href=\"#ArialMT-50\"/>\r\n",
       "       <use x=\"139.013672\" xlink:href=\"#ArialMT-53\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"xtick_24\">\r\n",
       "     <g id=\"text_14\">\r\n",
       "      <!-- 0.50 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(953.679173 195.742969)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-48\"/>\r\n",
       "       <use x=\"55.615234\" xlink:href=\"#ArialMT-46\"/>\r\n",
       "       <use x=\"83.398438\" xlink:href=\"#ArialMT-53\"/>\r\n",
       "       <use x=\"139.013672\" xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"matplotlib.axis_6\">\r\n",
       "    <g id=\"ytick_5\">\r\n",
       "     <g id=\"text_15\">\r\n",
       "      <!-- 0 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 182.306172)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-48\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "    <g id=\"ytick_6\">\r\n",
       "     <g id=\"text_16\">\r\n",
       "      <!-- 1 -->\r\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(7.2 165.273542)scale(0.11 -0.11)\">\r\n",
       "       <use xlink:href=\"#ArialMT-49\"/>\r\n",
       "      </g>\r\n",
       "     </g>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"PolyCollection_3\">\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 70.019531 -26.777926 \r\n",
       "L 70.019531 -26.759844 \r\n",
       "L 77.452996 -26.759844 \r\n",
       "L 84.88646 -26.759844 \r\n",
       "L 92.319925 -26.759844 \r\n",
       "L 99.75339 -26.759844 \r\n",
       "L 107.186854 -26.759844 \r\n",
       "L 114.620319 -26.759844 \r\n",
       "L 122.053783 -26.759844 \r\n",
       "L 129.487248 -26.759844 \r\n",
       "L 136.920712 -26.759844 \r\n",
       "L 144.354177 -26.759844 \r\n",
       "L 151.787641 -26.759844 \r\n",
       "L 159.221106 -26.759844 \r\n",
       "L 166.654571 -26.759844 \r\n",
       "L 174.088035 -26.759844 \r\n",
       "L 181.5215 -26.759844 \r\n",
       "L 188.954964 -26.759844 \r\n",
       "L 196.388429 -26.759844 \r\n",
       "L 203.821893 -26.759844 \r\n",
       "L 211.255358 -26.759844 \r\n",
       "L 218.688823 -26.759844 \r\n",
       "L 226.122287 -26.759844 \r\n",
       "L 233.555752 -26.759844 \r\n",
       "L 240.989216 -26.759844 \r\n",
       "L 248.422681 -26.759844 \r\n",
       "L 255.856145 -26.759844 \r\n",
       "L 263.28961 -26.759844 \r\n",
       "L 270.723075 -26.759844 \r\n",
       "L 278.156539 -26.759844 \r\n",
       "L 285.590004 -26.759844 \r\n",
       "L 293.023468 -26.759844 \r\n",
       "L 300.456933 -26.759844 \r\n",
       "L 307.890397 -26.759844 \r\n",
       "L 315.323862 -26.759844 \r\n",
       "L 322.757327 -26.759844 \r\n",
       "L 330.190791 -26.759844 \r\n",
       "L 337.624256 -26.759844 \r\n",
       "L 345.05772 -26.759844 \r\n",
       "L 352.491185 -26.759844 \r\n",
       "L 359.924649 -26.759844 \r\n",
       "L 367.358114 -26.759844 \r\n",
       "L 374.791578 -26.759844 \r\n",
       "L 382.225043 -26.759844 \r\n",
       "L 389.658508 -26.759844 \r\n",
       "L 397.091972 -26.759844 \r\n",
       "L 404.525437 -26.759844 \r\n",
       "L 411.958901 -26.759844 \r\n",
       "L 419.392366 -26.759844 \r\n",
       "L 426.82583 -26.759844 \r\n",
       "L 434.259295 -26.759844 \r\n",
       "L 441.69276 -26.759844 \r\n",
       "L 449.126224 -26.759844 \r\n",
       "L 456.559689 -26.759844 \r\n",
       "L 463.993153 -26.759844 \r\n",
       "L 471.426618 -26.759844 \r\n",
       "L 478.860082 -26.759844 \r\n",
       "L 486.293547 -26.759844 \r\n",
       "L 493.727012 -26.759844 \r\n",
       "L 501.160476 -26.759844 \r\n",
       "L 508.593941 -26.759844 \r\n",
       "L 516.027405 -26.759844 \r\n",
       "L 523.46087 -26.759844 \r\n",
       "L 530.894334 -26.759844 \r\n",
       "L 538.327799 -26.759844 \r\n",
       "L 545.761264 -26.759844 \r\n",
       "L 553.194728 -26.759844 \r\n",
       "L 560.628193 -26.759844 \r\n",
       "L 568.061657 -26.759844 \r\n",
       "L 575.495122 -26.759844 \r\n",
       "L 582.928586 -26.759844 \r\n",
       "L 590.362051 -26.759844 \r\n",
       "L 597.795516 -26.759844 \r\n",
       "L 605.22898 -26.759844 \r\n",
       "L 612.662445 -26.759844 \r\n",
       "L 620.095909 -26.759844 \r\n",
       "L 627.529374 -26.759844 \r\n",
       "L 634.962838 -26.759844 \r\n",
       "L 642.396303 -26.759844 \r\n",
       "L 649.829767 -26.759844 \r\n",
       "L 657.263232 -26.759844 \r\n",
       "L 664.696697 -26.759844 \r\n",
       "L 672.130161 -26.759844 \r\n",
       "L 679.563626 -26.759844 \r\n",
       "L 686.99709 -26.759844 \r\n",
       "L 694.430555 -26.759844 \r\n",
       "L 701.864019 -26.759844 \r\n",
       "L 709.297484 -26.759844 \r\n",
       "L 716.730949 -26.759844 \r\n",
       "L 724.164413 -26.759844 \r\n",
       "L 731.597878 -26.759844 \r\n",
       "L 739.031342 -26.759844 \r\n",
       "L 746.464807 -26.759844 \r\n",
       "L 753.898271 -26.759844 \r\n",
       "L 761.331736 -26.759844 \r\n",
       "L 768.765201 -26.759844 \r\n",
       "L 776.198665 -26.759844 \r\n",
       "L 783.63213 -26.759844 \r\n",
       "L 791.065594 -26.759844 \r\n",
       "L 798.499059 -26.759844 \r\n",
       "L 805.932523 -26.759844 \r\n",
       "L 813.365988 -26.759844 \r\n",
       "L 820.799453 -26.759844 \r\n",
       "L 828.232917 -26.759844 \r\n",
       "L 835.666382 -26.759844 \r\n",
       "L 843.099846 -26.759844 \r\n",
       "L 850.533311 -26.759844 \r\n",
       "L 857.966775 -26.759844 \r\n",
       "L 865.40024 -26.759844 \r\n",
       "L 872.833704 -26.759844 \r\n",
       "L 880.267169 -26.759844 \r\n",
       "L 887.700634 -26.759844 \r\n",
       "L 895.134098 -26.759844 \r\n",
       "L 902.567563 -26.759844 \r\n",
       "L 910.001027 -26.759844 \r\n",
       "L 917.434492 -26.759844 \r\n",
       "L 924.867956 -26.759844 \r\n",
       "L 932.301421 -26.759844 \r\n",
       "L 939.734886 -26.759844 \r\n",
       "L 947.16835 -26.759844 \r\n",
       "L 954.601815 -26.759844 \r\n",
       "L 962.035279 -26.759844 \r\n",
       "L 969.468744 -26.759844 \r\n",
       "L 976.902208 -26.759844 \r\n",
       "L 984.335673 -26.759844 \r\n",
       "L 991.769138 -26.759844 \r\n",
       "L 999.202602 -26.759844 \r\n",
       "L 1006.636067 -26.759844 \r\n",
       "L 1014.069531 -26.759844 \r\n",
       "L 1014.069531 -26.779816 \r\n",
       "L 1014.069531 -26.779816 \r\n",
       "L 1006.636067 -26.782874 \r\n",
       "L 999.202602 -26.787222 \r\n",
       "L 991.769138 -26.793029 \r\n",
       "L 984.335673 -26.80052 \r\n",
       "L 976.902208 -26.809974 \r\n",
       "L 969.468744 -26.821732 \r\n",
       "L 962.035279 -26.8362 \r\n",
       "L 954.601815 -26.853858 \r\n",
       "L 947.16835 -26.875264 \r\n",
       "L 939.734886 -26.901063 \r\n",
       "L 932.301421 -26.931992 \r\n",
       "L 924.867956 -26.968889 \r\n",
       "L 917.434492 -27.0127 \r\n",
       "L 910.001027 -27.064485 \r\n",
       "L 902.567563 -27.125427 \r\n",
       "L 895.134098 -27.196832 \r\n",
       "L 887.700634 -27.280141 \r\n",
       "L 880.267169 -27.376924 \r\n",
       "L 872.833704 -27.48889 \r\n",
       "L 865.40024 -27.617878 \r\n",
       "L 857.966775 -27.765858 \r\n",
       "L 850.533311 -27.93492 \r\n",
       "L 843.099846 -28.127267 \r\n",
       "L 835.666382 -28.345199 \r\n",
       "L 828.232917 -28.591092 \r\n",
       "L 820.799453 -28.867378 \r\n",
       "L 813.365988 -29.176513 \r\n",
       "L 805.932523 -29.520945 \r\n",
       "L 798.499059 -29.903073 \r\n",
       "L 791.065594 -30.325205 \r\n",
       "L 783.63213 -30.789505 \r\n",
       "L 776.198665 -31.297939 \r\n",
       "L 768.765201 -31.852217 \r\n",
       "L 761.331736 -32.453728 \r\n",
       "L 753.898271 -33.103477 \r\n",
       "L 746.464807 -33.802014 \r\n",
       "L 739.031342 -34.549372 \r\n",
       "L 731.597878 -35.344998 \r\n",
       "L 724.164413 -36.187693 \r\n",
       "L 716.730949 -37.075556 \r\n",
       "L 709.297484 -38.005936 \r\n",
       "L 701.864019 -38.975392 \r\n",
       "L 694.430555 -39.97967 \r\n",
       "L 686.99709 -41.01369 \r\n",
       "L 679.563626 -42.071553 \r\n",
       "L 672.130161 -43.14656 \r\n",
       "L 664.696697 -44.231255 \r\n",
       "L 657.263232 -45.31749 \r\n",
       "L 649.829767 -46.396502 \r\n",
       "L 642.396303 -47.459016 \r\n",
       "L 634.962838 -48.495368 \r\n",
       "L 627.529374 -49.495635 \r\n",
       "L 620.095909 -50.449793 \r\n",
       "L 612.662445 -51.347875 \r\n",
       "L 605.22898 -52.180146 \r\n",
       "L 597.795516 -52.937274 \r\n",
       "L 590.362051 -53.610506 \r\n",
       "L 582.928586 -54.191837 \r\n",
       "L 575.495122 -54.674173 \r\n",
       "L 568.061657 -55.05147 \r\n",
       "L 560.628193 -55.318867 \r\n",
       "L 553.194728 -55.472791 \r\n",
       "L 545.761264 -55.511034 \r\n",
       "L 538.327799 -55.432808 \r\n",
       "L 530.894334 -55.238765 \r\n",
       "L 523.46087 -54.930991 \r\n",
       "L 516.027405 -54.512969 \r\n",
       "L 508.593941 -53.989508 \r\n",
       "L 501.160476 -53.366651 \r\n",
       "L 493.727012 -52.651557 \r\n",
       "L 486.293547 -51.852356 \r\n",
       "L 478.860082 -50.977994 \r\n",
       "L 471.426618 -50.038062 \r\n",
       "L 463.993153 -49.042618 \r\n",
       "L 456.559689 -48.002001 \r\n",
       "L 449.126224 -46.926652 \r\n",
       "L 441.69276 -45.826942 \r\n",
       "L 434.259295 -44.712998 \r\n",
       "L 426.82583 -43.59456 \r\n",
       "L 419.392366 -42.480839 \r\n",
       "L 411.958901 -41.380404 \r\n",
       "L 404.525437 -40.301084 \r\n",
       "L 397.091972 -39.249895 \r\n",
       "L 389.658508 -38.232984 \r\n",
       "L 382.225043 -37.255603 \r\n",
       "L 374.791578 -36.322093 \r\n",
       "L 367.358114 -35.435899 \r\n",
       "L 359.924649 -34.599588 \r\n",
       "L 352.491185 -33.814898 \r\n",
       "L 345.05772 -33.082783 \r\n",
       "L 337.624256 -32.403484 \r\n",
       "L 330.190791 -31.776598 \r\n",
       "L 322.757327 -31.201152 \r\n",
       "L 315.323862 -30.675683 \r\n",
       "L 307.890397 -30.198319 \r\n",
       "L 300.456933 -29.766857 \r\n",
       "L 293.023468 -29.378836 \r\n",
       "L 285.590004 -29.03161 \r\n",
       "L 278.156539 -28.722409 \r\n",
       "L 270.723075 -28.448403 \r\n",
       "L 263.28961 -28.206753 \r\n",
       "L 255.856145 -27.994649 \r\n",
       "L 248.422681 -27.809359 \r\n",
       "L 240.989216 -27.648252 \r\n",
       "L 233.555752 -27.508821 \r\n",
       "L 226.122287 -27.388711 \r\n",
       "L 218.688823 -27.285719 \r\n",
       "L 211.255358 -27.197812 \r\n",
       "L 203.821893 -27.123124 \r\n",
       "L 196.388429 -27.059958 \r\n",
       "L 188.954964 -27.006782 \r\n",
       "L 181.5215 -26.962224 \r\n",
       "L 174.088035 -26.925064 \r\n",
       "L 166.654571 -26.894225 \r\n",
       "L 159.221106 -26.868763 \r\n",
       "L 151.787641 -26.847855 \r\n",
       "L 144.354177 -26.830793 \r\n",
       "L 136.920712 -26.816972 \r\n",
       "L 129.487248 -26.805877 \r\n",
       "L 122.053783 -26.797078 \r\n",
       "L 114.620319 -26.790221 \r\n",
       "L 107.186854 -26.785021 \r\n",
       "L 99.75339 -26.781253 \r\n",
       "L 92.319925 -26.77875 \r\n",
       "L 84.88646 -26.777397 \r\n",
       "L 77.452996 -26.777129 \r\n",
       "L 70.019531 -26.777926 \r\n",
       "z\r\n",
       "\" id=\"m16ba894720\" style=\"stroke:#ffffff;\"/>\r\n",
       "    </defs>\r\n",
       "    <g>\r\n",
       "     <use style=\"fill:#6ea0b1;stroke:#ffffff;\" x=\"0\" xlink:href=\"#m16ba894720\" y=\"205.129219\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_7\">\r\n",
       "    <path d=\"M 70.019531 178.351293 \r\n",
       "L 159.221106 178.260456 \r\n",
       "L 203.821893 178.006095 \r\n",
       "L 233.555752 177.620397 \r\n",
       "L 255.856145 177.134569 \r\n",
       "L 278.156539 176.40681 \r\n",
       "L 293.023468 175.750382 \r\n",
       "L 307.890397 174.9309 \r\n",
       "L 322.757327 173.928067 \r\n",
       "L 337.624256 172.725734 \r\n",
       "L 352.491185 171.314321 \r\n",
       "L 367.358114 169.69332 \r\n",
       "L 382.225043 167.873616 \r\n",
       "L 397.091972 165.879324 \r\n",
       "L 419.392366 162.64838 \r\n",
       "L 456.559689 157.127218 \r\n",
       "L 471.426618 155.091156 \r\n",
       "L 486.293547 153.276863 \r\n",
       "L 501.160476 151.762568 \r\n",
       "L 516.027405 150.61625 \r\n",
       "L 530.894334 149.890454 \r\n",
       "L 538.327799 149.696411 \r\n",
       "L 545.761264 149.618185 \r\n",
       "L 553.194728 149.656428 \r\n",
       "L 560.628193 149.810352 \r\n",
       "L 575.495122 150.455046 \r\n",
       "L 590.362051 151.518713 \r\n",
       "L 605.22898 152.949073 \r\n",
       "L 620.095909 154.679426 \r\n",
       "L 634.962838 156.633851 \r\n",
       "L 657.263232 159.811729 \r\n",
       "L 694.430555 165.149549 \r\n",
       "L 716.730949 168.053662 \r\n",
       "L 731.597878 169.784221 \r\n",
       "L 746.464807 171.327205 \r\n",
       "L 761.331736 172.67549 \r\n",
       "L 776.198665 173.831279 \r\n",
       "L 791.065594 174.804013 \r\n",
       "L 805.932523 175.608274 \r\n",
       "L 828.232917 176.538126 \r\n",
       "L 850.533311 177.194299 \r\n",
       "L 872.833704 177.640328 \r\n",
       "L 902.567563 178.003792 \r\n",
       "L 939.734886 178.228156 \r\n",
       "L 999.202602 178.341997 \r\n",
       "L 1014.069531 178.349403 \r\n",
       "L 1014.069531 178.349403 \r\n",
       "\" style=\"fill:none;stroke:#6ea0b1;stroke-linecap:round;stroke-width:1.5;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_8\">\r\n",
       "    <path d=\"M 70.019531 178.351293 \r\n",
       "L 159.221106 178.260456 \r\n",
       "L 203.821893 178.006095 \r\n",
       "L 233.555752 177.620397 \r\n",
       "L 255.856145 177.134569 \r\n",
       "L 278.156539 176.40681 \r\n",
       "L 293.023468 175.750382 \r\n",
       "L 307.890397 174.9309 \r\n",
       "L 322.757327 173.928067 \r\n",
       "L 337.624256 172.725734 \r\n",
       "L 352.491185 171.314321 \r\n",
       "L 367.358114 169.69332 \r\n",
       "L 382.225043 167.873616 \r\n",
       "L 397.091972 165.879324 \r\n",
       "L 419.392366 162.64838 \r\n",
       "L 456.559689 157.127218 \r\n",
       "L 471.426618 155.091156 \r\n",
       "L 486.293547 153.276863 \r\n",
       "L 501.160476 151.762568 \r\n",
       "L 516.027405 150.61625 \r\n",
       "L 530.894334 149.890454 \r\n",
       "L 538.327799 149.696411 \r\n",
       "L 545.761264 149.618185 \r\n",
       "L 553.194728 149.656428 \r\n",
       "L 560.628193 149.810352 \r\n",
       "L 575.495122 150.455046 \r\n",
       "L 590.362051 151.518713 \r\n",
       "L 605.22898 152.949073 \r\n",
       "L 620.095909 154.679426 \r\n",
       "L 634.962838 156.633851 \r\n",
       "L 657.263232 159.811729 \r\n",
       "L 694.430555 165.149549 \r\n",
       "L 716.730949 168.053662 \r\n",
       "L 731.597878 169.784221 \r\n",
       "L 746.464807 171.327205 \r\n",
       "L 761.331736 172.67549 \r\n",
       "L 776.198665 173.831279 \r\n",
       "L 791.065594 174.804013 \r\n",
       "L 805.932523 175.608274 \r\n",
       "L 828.232917 176.538126 \r\n",
       "L 850.533311 177.194299 \r\n",
       "L 872.833704 177.640328 \r\n",
       "L 902.567563 178.003792 \r\n",
       "L 939.734886 178.228156 \r\n",
       "L 999.202602 178.341997 \r\n",
       "L 1014.069531 178.349403 \r\n",
       "L 1014.069531 178.349403 \r\n",
       "\" style=\"fill:none;stroke:#ffffff;stroke-linecap:round;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"line2d_9\">\r\n",
       "    <path d=\"M 22.817031 178.369375 \r\n",
       "L 1061.272031 178.369375 \r\n",
       "\" style=\"fill:none;stroke:#6ea0b1;stroke-linecap:round;stroke-width:2;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_9\">\r\n",
       "    <path d=\"M 22.817031 178.369375 \r\n",
       "L 22.817031 148.180625 \r\n",
       "\" style=\"fill:none;stroke:#262626;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.25;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"patch_10\">\r\n",
       "    <path d=\"M 22.817031 178.369375 \r\n",
       "L 1061.272031 178.369375 \r\n",
       "\" style=\"fill:none;stroke:#262626;stroke-linecap:square;stroke-linejoin:miter;stroke-width:1.25;\"/>\r\n",
       "   </g>\r\n",
       "   <g id=\"text_17\">\r\n",
       "    <!-- bias = Left -->\r\n",
       "    <defs>\r\n",
       "     <path d=\"M 7.328125 0 \r\n",
       "L 7.328125 71.578125 \r\n",
       "L 16.796875 71.578125 \r\n",
       "L 16.796875 8.453125 \r\n",
       "L 52.046875 8.453125 \r\n",
       "L 52.046875 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-76\"/>\r\n",
       "     <path d=\"M 8.6875 0 \r\n",
       "L 8.6875 45.015625 \r\n",
       "L 0.921875 45.015625 \r\n",
       "L 0.921875 51.859375 \r\n",
       "L 8.6875 51.859375 \r\n",
       "L 8.6875 57.375 \r\n",
       "Q 8.6875 62.59375 9.625 65.140625 \r\n",
       "Q 10.890625 68.5625 14.078125 70.671875 \r\n",
       "Q 17.28125 72.796875 23.046875 72.796875 \r\n",
       "Q 26.765625 72.796875 31.25 71.921875 \r\n",
       "L 29.9375 64.265625 \r\n",
       "Q 27.203125 64.75 24.75 64.75 \r\n",
       "Q 20.75 64.75 19.09375 63.03125 \r\n",
       "Q 17.4375 61.328125 17.4375 56.640625 \r\n",
       "L 17.4375 51.859375 \r\n",
       "L 27.546875 51.859375 \r\n",
       "L 27.546875 45.015625 \r\n",
       "L 17.4375 45.015625 \r\n",
       "L 17.4375 0 \r\n",
       "z\r\n",
       "\" id=\"ArialMT-102\"/>\r\n",
       "    </defs>\r\n",
       "    <g style=\"fill:#262626;\" transform=\"translate(514.193281 142.180625)scale(0.12 -0.12)\">\r\n",
       "     <use xlink:href=\"#ArialMT-98\"/>\r\n",
       "     <use x=\"55.615234\" xlink:href=\"#ArialMT-105\"/>\r\n",
       "     <use x=\"77.832031\" xlink:href=\"#ArialMT-97\"/>\r\n",
       "     <use x=\"133.447266\" xlink:href=\"#ArialMT-115\"/>\r\n",
       "     <use x=\"183.447266\" xlink:href=\"#ArialMT-32\"/>\r\n",
       "     <use x=\"211.230469\" xlink:href=\"#ArialMT-61\"/>\r\n",
       "     <use x=\"269.628906\" xlink:href=\"#ArialMT-32\"/>\r\n",
       "     <use x=\"297.412109\" xlink:href=\"#ArialMT-76\"/>\r\n",
       "     <use x=\"353.027344\" xlink:href=\"#ArialMT-101\"/>\r\n",
       "     <use x=\"408.642578\" xlink:href=\"#ArialMT-102\"/>\r\n",
       "     <use x=\"436.425781\" xlink:href=\"#ArialMT-116\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       "</svg>\r\n"
      ],
      "text/plain": [
       "<Figure size 1080x216 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def densityplot(dimension):\n",
    "\n",
    "    # Initialize the FaceGrid object\n",
    "    sns.set(style=\"white\", rc={'axes.facecolor': (0, 0, 0, 0)})\n",
    "    pal = sns.cubehelix_palette(10, rot=-.25, light=.7)\n",
    "    g = sns.FacetGrid(new, row=\"bias\", hue=\"bias\",\n",
    "                      aspect=15, size=1, palette=pal)\n",
    "\n",
    "    # Draw the densities in a few steps\n",
    "    g.map(sns.kdeplot, dimension, clip_on=False,\n",
    "          shade=True, alpha=1, lw=1.5, bw=.2)\n",
    "    g.map(sns.kdeplot, dimension, clip_on=False, color='w', lw=2, bw=.2)\n",
    "    g.map(plt.axhline, y=0, lw=2, clip_on=False)\n",
    "\n",
    "    # Define and use a simple function to label the plot in axes coordinates\n",
    "    def label(x, color, label):\n",
    "        ax = plt.gca()\n",
    "        ax.text(0, .2, label, fontweight='bold', color=color,\n",
    "                ha='left', va='center', transform=ax.transAxes)\n",
    "\n",
    "        # Set the subplot to overlap\n",
    "        g.map(label, dimension)\n",
    "\n",
    "        # Remove axes details that don't play will with overlap\n",
    "        g.set_titles('')\n",
    "        g.set(yticks=[])\n",
    "        g.despine(bottom=True, left=True)\n",
    "\n",
    "        return g\n",
    "\n",
    "sentiment_plot = densityplot('sentiment') \n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see from the density plot, there is great chance that a randomly selected news article you read from any source will be negative. The average sentiment of a news article will somewhere between -0.29 and -0.37. It's possible that this is only true for the particular story that I have decided to focus on."
   ]
  }
 ],
 "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}