NA61SHINE_2022_I2155140.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "74419faf",
   "metadata": {},
   "source": [
    "# Initialization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "0e63cedd",
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import *\n",
    "from numpy import *\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.ticker\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "80a03d59",
   "metadata": {},
   "outputs": [],
   "source": [
    "pd.set_option(\"display.max_rows\", 300)\n",
    "pd.set_option(\"display.max_columns\", 6)\n",
    "pd.set_option('display.float_format', '{:.6e}'.format)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bd9c885e",
   "metadata": {},
   "source": [
    "# Data extraction"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce74a3ec",
   "metadata": {},
   "source": [
    "There are different files from which one would want to extract data:\n",
    "\n",
    "- Original .dat file sent by Anatoli Fedynitch with NA61/SHINE datasets for charged pions, charged kaons and (anti-)protons at 158 and 350 GeV/c\n",
    "- Simulated datasets in the Rivet format .yoda, using different hadronic interaction models (EPOS 1.99, EPOS-LHC, Sibyll 2.1, Sibyll 2.3d, QGSJet-II.04, Pythia8, etc ...)\n",
    "- Future HepData official .yoda entry with complete identified outgoing particles"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "960de75e",
   "metadata": {},
   "source": [
    "In order to extract the datasets, one needs to consider the original format of the .dat file. It was sent by Anatoli Fedynitch. The file has a maximum of five columns separated by one or two spaces, which will be used to define the dataframe and fill it immediately using the `pd.read_csv()` function and the separator `delim_whitespace` activated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "0745b689",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "col = []\n",
    "for i in range (5):\n",
    "    col.append('c%i' %(i))\n",
    "\n",
    "df = pd.read_csv('NA61SHINE_2022_I2155140.dat', delim_whitespace=True, names=col)\n",
    "df.columns = ['x', 'y', 'ystat', 'ysys-', 'ysys+']"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11a97b37",
   "metadata": {},
   "source": [
    "Secondly, one needs to deal with numbers and not strings. Therefore a conversion to numerical values is done using the functionality `pd.to_numeric`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "d919a9a3",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
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       "        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>x</th>\n",
       "      <th>y</th>\n",
       "      <th>ystat</th>\n",
       "      <th>ysys-</th>\n",
       "      <th>ysys+</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>#p_beam</td>\n",
       "      <td>=</td>\n",
       "      <td>158</td>\n",
       "      <td>GeV/c</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>#Particle</td>\n",
       "      <td>=</td>\n",
       "      <td>pion+</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>#&lt;p&gt;/GeV/c</td>\n",
       "      <td>p*(dn/dp)</td>\n",
       "      <td>stat</td>\n",
       "      <td>syst-</td>\n",
       "      <td>syst+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.42</td>\n",
       "      <td>0.782</td>\n",
       "      <td>0.00948</td>\n",
       "      <td>0.0449</td>\n",
       "      <td>0.0326</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.2</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.0054</td>\n",
       "      <td>0.0251</td>\n",
       "      <td>0.0221</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2.62</td>\n",
       "      <td>0.81</td>\n",
       "      <td>0.00229</td>\n",
       "      <td>0.0213</td>\n",
       "      <td>0.0188</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>3.08</td>\n",
       "      <td>0.803</td>\n",
       "      <td>0.00533</td>\n",
       "      <td>0.0194</td>\n",
       "      <td>0.0152</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>3.6</td>\n",
       "      <td>0.79</td>\n",
       "      <td>0.00181</td>\n",
       "      <td>0.0224</td>\n",
       "      <td>0.0169</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>4.34</td>\n",
       "      <td>0.782</td>\n",
       "      <td>0.00154</td>\n",
       "      <td>0.023</td>\n",
       "      <td>0.0162</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>5.55</td>\n",
       "      <td>0.765</td>\n",
       "      <td>0.00114</td>\n",
       "      <td>0.0254</td>\n",
       "      <td>0.017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>7.13</td>\n",
       "      <td>0.727</td>\n",
       "      <td>0.00115</td>\n",
       "      <td>0.0199</td>\n",
       "      <td>0.0167</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>8.97</td>\n",
       "      <td>0.684</td>\n",
       "      <td>0.00109</td>\n",
       "      <td>0.016</td>\n",
       "      <td>0.0151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>11.3</td>\n",
       "      <td>0.63</td>\n",
       "      <td>0.00102</td>\n",
       "      <td>0.0124</td>\n",
       "      <td>0.0129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>14.2</td>\n",
       "      <td>0.57</td>\n",
       "      <td>0.00096</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.0106</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>17.9</td>\n",
       "      <td>0.504</td>\n",
       "      <td>0.000895</td>\n",
       "      <td>0.00847</td>\n",
       "      <td>0.00875</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>22.5</td>\n",
       "      <td>0.429</td>\n",
       "      <td>0.000822</td>\n",
       "      <td>0.00706</td>\n",
       "      <td>0.00715</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>28.4</td>\n",
       "      <td>0.352</td>\n",
       "      <td>0.000753</td>\n",
       "      <td>0.00607</td>\n",
       "      <td>0.00593</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>35.7</td>\n",
       "      <td>0.278</td>\n",
       "      <td>0.00075</td>\n",
       "      <td>0.00712</td>\n",
       "      <td>0.00704</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>45</td>\n",
       "      <td>0.21</td>\n",
       "      <td>0.000951</td>\n",
       "      <td>0.0106</td>\n",
       "      <td>0.00575</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>56.6</td>\n",
       "      <td>0.144</td>\n",
       "      <td>0.000933</td>\n",
       "      <td>0.00403</td>\n",
       "      <td>0.00453</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>71.3</td>\n",
       "      <td>0.0911</td>\n",
       "      <td>0.000687</td>\n",
       "      <td>0.00328</td>\n",
       "      <td>0.00369</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>89.7</td>\n",
       "      <td>0.0519</td>\n",
       "      <td>0.000816</td>\n",
       "      <td>0.00172</td>\n",
       "      <td>0.0019</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>#p_beam</td>\n",
       "      <td>=</td>\n",
       "      <td>158</td>\n",
       "      <td>GeV/c</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>#Particle</td>\n",
       "      <td>=</td>\n",
       "      <td>pion-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>#&lt;p&gt;/GeV/c</td>\n",
       "      <td>p*(dn/dp)</td>\n",
       "      <td>stat</td>\n",
       "      <td>syst-</td>\n",
       "      <td>syst+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.42</td>\n",
       "      <td>0.833</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.052</td>\n",
       "      <td>0.0261</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>2.2</td>\n",
       "      <td>0.882</td>\n",
       "      <td>0.00405</td>\n",
       "      <td>0.0265</td>\n",
       "      <td>0.0231</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>2.62</td>\n",
       "      <td>0.908</td>\n",
       "      <td>0.00227</td>\n",
       "      <td>0.0219</td>\n",
       "      <td>0.0189</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>3.08</td>\n",
       "      <td>0.911</td>\n",
       "      <td>0.00225</td>\n",
       "      <td>0.0208</td>\n",
       "      <td>0.018</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>3.6</td>\n",
       "      <td>0.92</td>\n",
       "      <td>0.0019</td>\n",
       "      <td>0.0224</td>\n",
       "      <td>0.0178</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>4.34</td>\n",
       "      <td>0.922</td>\n",
       "      <td>0.0016</td>\n",
       "      <td>0.0238</td>\n",
       "      <td>0.019</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>5.55</td>\n",
       "      <td>0.924</td>\n",
       "      <td>0.00127</td>\n",
       "      <td>0.0275</td>\n",
       "      <td>0.0193</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>7.13</td>\n",
       "      <td>0.901</td>\n",
       "      <td>0.00129</td>\n",
       "      <td>0.0221</td>\n",
       "      <td>0.0188</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>8.97</td>\n",
       "      <td>0.873</td>\n",
       "      <td>0.00124</td>\n",
       "      <td>0.0177</td>\n",
       "      <td>0.0171</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>11.3</td>\n",
       "      <td>0.832</td>\n",
       "      <td>0.00118</td>\n",
       "      <td>0.0143</td>\n",
       "      <td>0.0144</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>14.2</td>\n",
       "      <td>0.781</td>\n",
       "      <td>0.00113</td>\n",
       "      <td>0.0124</td>\n",
       "      <td>0.0126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>17.9</td>\n",
       "      <td>0.722</td>\n",
       "      <td>0.00107</td>\n",
       "      <td>0.0121</td>\n",
       "      <td>0.011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>22.5</td>\n",
       "      <td>0.651</td>\n",
       "      <td>0.00102</td>\n",
       "      <td>0.00989</td>\n",
       "      <td>0.00985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>28.4</td>\n",
       "      <td>0.574</td>\n",
       "      <td>0.00099</td>\n",
       "      <td>0.00868</td>\n",
       "      <td>0.00857</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>35.7</td>\n",
       "      <td>0.491</td>\n",
       "      <td>0.00101</td>\n",
       "      <td>0.0076</td>\n",
       "      <td>0.00746</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>45</td>\n",
       "      <td>0.407</td>\n",
       "      <td>0.00112</td>\n",
       "      <td>0.0209</td>\n",
       "      <td>0.00765</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>56.6</td>\n",
       "      <td>0.33</td>\n",
       "      <td>0.00135</td>\n",
       "      <td>0.0073</td>\n",
       "      <td>0.00706</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>71.3</td>\n",
       "      <td>0.268</td>\n",
       "      <td>0.00141</td>\n",
       "      <td>0.00856</td>\n",
       "      <td>0.00904</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>#p_beam</td>\n",
       "      <td>=</td>\n",
       "      <td>158</td>\n",
       "      <td>GeV/c</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>#Particle</td>\n",
       "      <td>=</td>\n",
       "      <td>kaon+</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>#&lt;p&gt;/GeV/c</td>\n",
       "      <td>p*(dn/dp)</td>\n",
       "      <td>stat</td>\n",
       "      <td>syst-</td>\n",
       "      <td>syst+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>1.79</td>\n",
       "      <td>0.0588</td>\n",
       "      <td>0.00324</td>\n",
       "      <td>0.0103</td>\n",
       "      <td>0.0101</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>5.55</td>\n",
       "      <td>0.0861</td>\n",
       "      <td>0.00127</td>\n",
       "      <td>0.00656</td>\n",
       "      <td>0.0142</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>7.13</td>\n",
       "      <td>0.0858</td>\n",
       "      <td>0.000833</td>\n",
       "      <td>0.00288</td>\n",
       "      <td>0.0073</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>8.97</td>\n",
       "      <td>0.0868</td>\n",
       "      <td>0.000619</td>\n",
       "      <td>0.00188</td>\n",
       "      <td>0.00425</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>11.3</td>\n",
       "      <td>0.0856</td>\n",
       "      <td>0.000501</td>\n",
       "      <td>0.00167</td>\n",
       "      <td>0.00239</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>14.2</td>\n",
       "      <td>0.0803</td>\n",
       "      <td>0.000444</td>\n",
       "      <td>0.00147</td>\n",
       "      <td>0.00182</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>17.9</td>\n",
       "      <td>0.0733</td>\n",
       "      <td>0.000417</td>\n",
       "      <td>0.00151</td>\n",
       "      <td>0.00162</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>22.5</td>\n",
       "      <td>0.0658</td>\n",
       "      <td>0.00042</td>\n",
       "      <td>0.00137</td>\n",
       "      <td>0.00135</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>28.4</td>\n",
       "      <td>0.055</td>\n",
       "      <td>0.000463</td>\n",
       "      <td>0.00138</td>\n",
       "      <td>0.00139</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>35.7</td>\n",
       "      <td>0.0467</td>\n",
       "      <td>0.000573</td>\n",
       "      <td>0.00186</td>\n",
       "      <td>0.00168</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>45</td>\n",
       "      <td>0.0369</td>\n",
       "      <td>0.000741</td>\n",
       "      <td>0.0037</td>\n",
       "      <td>0.00858</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>56.6</td>\n",
       "      <td>0.0256</td>\n",
       "      <td>0.000781</td>\n",
       "      <td>0.0064</td>\n",
       "      <td>0.00432</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>71.3</td>\n",
       "      <td>0.0153</td>\n",
       "      <td>0.000739</td>\n",
       "      <td>0.00125</td>\n",
       "      <td>0.00443</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>#p_beam</td>\n",
       "      <td>=</td>\n",
       "      <td>158</td>\n",
       "      <td>GeV/c</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>#Particle</td>\n",
       "      <td>=</td>\n",
       "      <td>kaon-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>61</th>\n",
       "      <td>#&lt;p&gt;/GeV/c</td>\n",
       "      <td>p*(dn/dp)</td>\n",
       "      <td>stat</td>\n",
       "      <td>syst-</td>\n",
       "      <td>syst+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>1.79</td>\n",
       "      <td>0.0443</td>\n",
       "      <td>0.00231</td>\n",
       "      <td>0.00695</td>\n",
       "      <td>0.0052</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>3.6</td>\n",
       "      <td>0.0594</td>\n",
       "      <td>0.0021</td>\n",
       "      <td>0.0123</td>\n",
       "      <td>0.0129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64</th>\n",
       "      <td>4.34</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.00129</td>\n",
       "      <td>0.0045</td>\n",
       "      <td>0.00982</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>65</th>\n",
       "      <td>5.55</td>\n",
       "      <td>0.0781</td>\n",
       "      <td>0.000762</td>\n",
       "      <td>0.00294</td>\n",
       "      <td>0.0127</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>7.13</td>\n",
       "      <td>0.0827</td>\n",
       "      <td>0.00059</td>\n",
       "      <td>0.00191</td>\n",
       "      <td>0.00649</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67</th>\n",
       "      <td>8.97</td>\n",
       "      <td>0.0833</td>\n",
       "      <td>0.000501</td>\n",
       "      <td>0.00132</td>\n",
       "      <td>0.00355</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>11.3</td>\n",
       "      <td>0.0835</td>\n",
       "      <td>0.000449</td>\n",
       "      <td>0.00127</td>\n",
       "      <td>0.00239</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>69</th>\n",
       "      <td>14.2</td>\n",
       "      <td>0.0805</td>\n",
       "      <td>0.000416</td>\n",
       "      <td>0.00133</td>\n",
       "      <td>0.00199</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>17.9</td>\n",
       "      <td>0.0772</td>\n",
       "      <td>0.000401</td>\n",
       "      <td>0.00138</td>\n",
       "      <td>0.00521</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>22.5</td>\n",
       "      <td>0.0713</td>\n",
       "      <td>0.000411</td>\n",
       "      <td>0.00143</td>\n",
       "      <td>0.00147</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>28.4</td>\n",
       "      <td>0.0633</td>\n",
       "      <td>0.000469</td>\n",
       "      <td>0.00129</td>\n",
       "      <td>0.00127</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>73</th>\n",
       "      <td>35.7</td>\n",
       "      <td>0.0548</td>\n",
       "      <td>0.000596</td>\n",
       "      <td>0.00166</td>\n",
       "      <td>0.00148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74</th>\n",
       "      <td>45</td>\n",
       "      <td>0.0438</td>\n",
       "      <td>0.000824</td>\n",
       "      <td>0.00379</td>\n",
       "      <td>0.0192</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>56.6</td>\n",
       "      <td>0.0345</td>\n",
       "      <td>0.00108</td>\n",
       "      <td>0.00674</td>\n",
       "      <td>0.00467</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>#p_beam</td>\n",
       "      <td>=</td>\n",
       "      <td>158</td>\n",
       "      <td>GeV/c</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>77</th>\n",
       "      <td>#Particle</td>\n",
       "      <td>=</td>\n",
       "      <td>proton+</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>#&lt;p&gt;/GeV/c</td>\n",
       "      <td>p*(dn/dp)</td>\n",
       "      <td>stat</td>\n",
       "      <td>syst-</td>\n",
       "      <td>syst+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>2.2</td>\n",
       "      <td>0.145</td>\n",
       "      <td>0.00533</td>\n",
       "      <td>0.00746</td>\n",
       "      <td>0.0134</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>3.08</td>\n",
       "      <td>0.156</td>\n",
       "      <td>0.00309</td>\n",
       "      <td>0.0168</td>\n",
       "      <td>0.00898</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>3.6</td>\n",
       "      <td>0.129</td>\n",
       "      <td>0.0023</td>\n",
       "      <td>0.0138</td>\n",
       "      <td>0.038</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>4.34</td>\n",
       "      <td>0.112</td>\n",
       "      <td>0.00139</td>\n",
       "      <td>0.00787</td>\n",
       "      <td>0.0239</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83</th>\n",
       "      <td>5.55</td>\n",
       "      <td>0.0965</td>\n",
       "      <td>0.000748</td>\n",
       "      <td>0.00508</td>\n",
       "      <td>0.0181</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>84</th>\n",
       "      <td>7.13</td>\n",
       "      <td>0.0852</td>\n",
       "      <td>0.000548</td>\n",
       "      <td>0.00656</td>\n",
       "      <td>0.0112</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85</th>\n",
       "      <td>8.97</td>\n",
       "      <td>0.074</td>\n",
       "      <td>0.000429</td>\n",
       "      <td>0.00749</td>\n",
       "      <td>0.00884</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>86</th>\n",
       "      <td>11.3</td>\n",
       "      <td>0.0664</td>\n",
       "      <td>0.000349</td>\n",
       "      <td>0.00812</td>\n",
       "      <td>0.00599</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>87</th>\n",
       "      <td>14.2</td>\n",
       "      <td>0.0585</td>\n",
       "      <td>0.000304</td>\n",
       "      <td>0.00802</td>\n",
       "      <td>0.00619</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>88</th>\n",
       "      <td>17.9</td>\n",
       "      <td>0.052</td>\n",
       "      <td>0.000281</td>\n",
       "      <td>0.0077</td>\n",
       "      <td>0.00638</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>89</th>\n",
       "      <td>22.5</td>\n",
       "      <td>0.0467</td>\n",
       "      <td>0.000285</td>\n",
       "      <td>0.00758</td>\n",
       "      <td>0.00639</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>90</th>\n",
       "      <td>28.4</td>\n",
       "      <td>0.0406</td>\n",
       "      <td>0.000295</td>\n",
       "      <td>0.00668</td>\n",
       "      <td>0.00592</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>91</th>\n",
       "      <td>35.7</td>\n",
       "      <td>0.0338</td>\n",
       "      <td>0.000321</td>\n",
       "      <td>0.00537</td>\n",
       "      <td>0.00527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>45</td>\n",
       "      <td>0.0282</td>\n",
       "      <td>0.000356</td>\n",
       "      <td>0.004</td>\n",
       "      <td>0.00469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>93</th>\n",
       "      <td>56.6</td>\n",
       "      <td>0.0221</td>\n",
       "      <td>0.00036</td>\n",
       "      <td>0.00263</td>\n",
       "      <td>0.00456</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>71.3</td>\n",
       "      <td>0.0157</td>\n",
       "      <td>0.00034</td>\n",
       "      <td>0.00248</td>\n",
       "      <td>0.00596</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>#p_beam</td>\n",
       "      <td>=</td>\n",
       "      <td>158</td>\n",
       "      <td>GeV/c</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>#Particle</td>\n",
       "      <td>=</td>\n",
       "      <td>proton-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>#&lt;p&gt;/GeV/c</td>\n",
       "      <td>p*(dn/dp)</td>\n",
       "      <td>stat</td>\n",
       "      <td>syst-</td>\n",
       "      <td>syst+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>4.34</td>\n",
       "      <td>0.0222</td>\n",
       "      <td>0.000521</td>\n",
       "      <td>0.00502</td>\n",
       "      <td>0.00477</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>5.55</td>\n",
       "      <td>0.0255</td>\n",
       "      <td>0.000369</td>\n",
       "      <td>0.00548</td>\n",
       "      <td>0.00504</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>100</th>\n",
       "      <td>7.13</td>\n",
       "      <td>0.0302</td>\n",
       "      <td>0.000333</td>\n",
       "      <td>0.00616</td>\n",
       "      <td>0.00537</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>101</th>\n",
       "      <td>8.97</td>\n",
       "      <td>0.033</td>\n",
       "      <td>0.000302</td>\n",
       "      <td>0.00641</td>\n",
       "      <td>0.0054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>102</th>\n",
       "      <td>11.3</td>\n",
       "      <td>0.0349</td>\n",
       "      <td>0.000274</td>\n",
       "      <td>0.00632</td>\n",
       "      <td>0.00543</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>103</th>\n",
       "      <td>14.2</td>\n",
       "      <td>0.0367</td>\n",
       "      <td>0.000255</td>\n",
       "      <td>0.00636</td>\n",
       "      <td>0.00576</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>104</th>\n",
       "      <td>17.9</td>\n",
       "      <td>0.0368</td>\n",
       "      <td>0.00025</td>\n",
       "      <td>0.00618</td>\n",
       "      <td>0.00548</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>105</th>\n",
       "      <td>22.5</td>\n",
       "      <td>0.0366</td>\n",
       "      <td>0.00026</td>\n",
       "      <td>0.0061</td>\n",
       "      <td>0.00549</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>106</th>\n",
       "      <td>28.4</td>\n",
       "      <td>0.0352</td>\n",
       "      <td>0.000283</td>\n",
       "      <td>0.00552</td>\n",
       "      <td>0.00537</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>107</th>\n",
       "      <td>35.7</td>\n",
       "      <td>0.0323</td>\n",
       "      <td>0.000322</td>\n",
       "      <td>0.00448</td>\n",
       "      <td>0.00474</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>108</th>\n",
       "      <td>45</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.000382</td>\n",
       "      <td>0.00332</td>\n",
       "      <td>0.00439</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>109</th>\n",
       "      <td>56.6</td>\n",
       "      <td>0.0257</td>\n",
       "      <td>0.000445</td>\n",
       "      <td>0.00277</td>\n",
       "      <td>0.00428</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>110</th>\n",
       "      <td>71.3</td>\n",
       "      <td>0.0215</td>\n",
       "      <td>0.000489</td>\n",
       "      <td>0.00347</td>\n",
       "      <td>0.00551</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>111</th>\n",
       "      <td>89.7</td>\n",
       "      <td>0.0133</td>\n",
       "      <td>0.000629</td>\n",
       "      <td>0.000484</td>\n",
       "      <td>0.00449</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>112</th>\n",
       "      <td>#p_beam</td>\n",
       "      <td>=</td>\n",
       "      <td>350</td>\n",
       "      <td>GeV/c</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>113</th>\n",
       "      <td>#Particle</td>\n",
       "      <td>=</td>\n",
       "      <td>pion+</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>114</th>\n",
       "      <td>#&lt;p&gt;/GeV/c</td>\n",
       "      <td>p*(dn/dp)</td>\n",
       "      <td>stat</td>\n",
       "      <td>syst-</td>\n",
       "      <td>syst+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>115</th>\n",
       "      <td>1.42</td>\n",
       "      <td>0.785</td>\n",
       "      <td>0.00924</td>\n",
       "      <td>0.0609</td>\n",
       "      <td>0.0557</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>116</th>\n",
       "      <td>2.2</td>\n",
       "      <td>0.818</td>\n",
       "      <td>0.00524</td>\n",
       "      <td>0.0277</td>\n",
       "      <td>0.0253</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>117</th>\n",
       "      <td>2.62</td>\n",
       "      <td>0.859</td>\n",
       "      <td>0.00226</td>\n",
       "      <td>0.018</td>\n",
       "      <td>0.0196</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118</th>\n",
       "      <td>3.08</td>\n",
       "      <td>0.866</td>\n",
       "      <td>0.003</td>\n",
       "      <td>0.0174</td>\n",
       "      <td>0.0187</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>119</th>\n",
       "      <td>3.6</td>\n",
       "      <td>0.868</td>\n",
       "      <td>0.00186</td>\n",
       "      <td>0.0186</td>\n",
       "      <td>0.0189</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>120</th>\n",
       "      <td>4.34</td>\n",
       "      <td>0.87</td>\n",
       "      <td>0.00158</td>\n",
       "      <td>0.0191</td>\n",
       "      <td>0.0181</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>121</th>\n",
       "      <td>5.55</td>\n",
       "      <td>0.873</td>\n",
       "      <td>0.0012</td>\n",
       "      <td>0.0235</td>\n",
       "      <td>0.0187</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>7.13</td>\n",
       "      <td>0.857</td>\n",
       "      <td>0.00123</td>\n",
       "      <td>0.0214</td>\n",
       "      <td>0.0184</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>123</th>\n",
       "      <td>8.97</td>\n",
       "      <td>0.837</td>\n",
       "      <td>0.00118</td>\n",
       "      <td>0.0206</td>\n",
       "      <td>0.0182</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>11.3</td>\n",
       "      <td>0.803</td>\n",
       "      <td>0.00114</td>\n",
       "      <td>0.0187</td>\n",
       "      <td>0.0172</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>14.2</td>\n",
       "      <td>0.763</td>\n",
       "      <td>0.0011</td>\n",
       "      <td>0.0173</td>\n",
       "      <td>0.016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>126</th>\n",
       "      <td>17.9</td>\n",
       "      <td>0.716</td>\n",
       "      <td>0.00105</td>\n",
       "      <td>0.0159</td>\n",
       "      <td>0.0146</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>127</th>\n",
       "      <td>22.5</td>\n",
       "      <td>0.66</td>\n",
       "      <td>0.00101</td>\n",
       "      <td>0.0148</td>\n",
       "      <td>0.0131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>128</th>\n",
       "      <td>28.4</td>\n",
       "      <td>0.596</td>\n",
       "      <td>0.000992</td>\n",
       "      <td>0.014</td>\n",
       "      <td>0.012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>129</th>\n",
       "      <td>35.7</td>\n",
       "      <td>0.523</td>\n",
       "      <td>0.00106</td>\n",
       "      <td>0.013</td>\n",
       "      <td>0.011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>130</th>\n",
       "      <td>45</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.00129</td>\n",
       "      <td>0.0127</td>\n",
       "      <td>0.011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>131</th>\n",
       "      <td>56.6</td>\n",
       "      <td>0.37</td>\n",
       "      <td>0.00258</td>\n",
       "      <td>0.0116</td>\n",
       "      <td>0.0117</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>132</th>\n",
       "      <td>71.3</td>\n",
       "      <td>0.297</td>\n",
       "      <td>0.00263</td>\n",
       "      <td>0.0101</td>\n",
       "      <td>0.0113</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>133</th>\n",
       "      <td>89.7</td>\n",
       "      <td>0.23</td>\n",
       "      <td>0.00222</td>\n",
       "      <td>0.00939</td>\n",
       "      <td>0.00922</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>134</th>\n",
       "      <td>#p_beam</td>\n",
       "      <td>=</td>\n",
       "      <td>350</td>\n",
       "      <td>GeV/c</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>135</th>\n",
       "      <td>#Particle</td>\n",
       "      <td>=</td>\n",
       "      <td>pion-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>136</th>\n",
       "      <td>#&lt;p&gt;/GeV/c</td>\n",
       "      <td>p*(dn/dp)</td>\n",
       "      <td>stat</td>\n",
       "      <td>syst-</td>\n",
       "      <td>syst+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>137</th>\n",
       "      <td>1.42</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.00855</td>\n",
       "      <td>0.0403</td>\n",
       "      <td>0.0533</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>138</th>\n",
       "      <td>2.2</td>\n",
       "      <td>0.895</td>\n",
       "      <td>0.00329</td>\n",
       "      <td>0.0185</td>\n",
       "      <td>0.0205</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>139</th>\n",
       "      <td>2.62</td>\n",
       "      <td>0.917</td>\n",
       "      <td>0.00219</td>\n",
       "      <td>0.0181</td>\n",
       "      <td>0.0197</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>140</th>\n",
       "      <td>3.08</td>\n",
       "      <td>0.932</td>\n",
       "      <td>0.00235</td>\n",
       "      <td>0.0334</td>\n",
       "      <td>0.0198</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>141</th>\n",
       "      <td>3.6</td>\n",
       "      <td>0.947</td>\n",
       "      <td>0.0019</td>\n",
       "      <td>0.0202</td>\n",
       "      <td>0.0206</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>142</th>\n",
       "      <td>4.34</td>\n",
       "      <td>0.963</td>\n",
       "      <td>0.00161</td>\n",
       "      <td>0.0208</td>\n",
       "      <td>0.0202</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>143</th>\n",
       "      <td>5.55</td>\n",
       "      <td>0.974</td>\n",
       "      <td>0.00127</td>\n",
       "      <td>0.026</td>\n",
       "      <td>0.0211</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>144</th>\n",
       "      <td>7.13</td>\n",
       "      <td>0.973</td>\n",
       "      <td>0.00131</td>\n",
       "      <td>0.0239</td>\n",
       "      <td>0.0208</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>8.97</td>\n",
       "      <td>0.965</td>\n",
       "      <td>0.00127</td>\n",
       "      <td>0.0221</td>\n",
       "      <td>0.0205</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>11.3</td>\n",
       "      <td>0.949</td>\n",
       "      <td>0.00123</td>\n",
       "      <td>0.0204</td>\n",
       "      <td>0.0196</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>14.2</td>\n",
       "      <td>0.924</td>\n",
       "      <td>0.0012</td>\n",
       "      <td>0.0189</td>\n",
       "      <td>0.0182</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>17.9</td>\n",
       "      <td>0.892</td>\n",
       "      <td>0.00117</td>\n",
       "      <td>0.0176</td>\n",
       "      <td>0.0166</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>22.5</td>\n",
       "      <td>0.845</td>\n",
       "      <td>0.00114</td>\n",
       "      <td>0.017</td>\n",
       "      <td>0.0161</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>150</th>\n",
       "      <td>28.4</td>\n",
       "      <td>0.795</td>\n",
       "      <td>0.00115</td>\n",
       "      <td>0.0163</td>\n",
       "      <td>0.0155</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>151</th>\n",
       "      <td>35.7</td>\n",
       "      <td>0.737</td>\n",
       "      <td>0.00125</td>\n",
       "      <td>0.0144</td>\n",
       "      <td>0.0138</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>152</th>\n",
       "      <td>45</td>\n",
       "      <td>0.667</td>\n",
       "      <td>0.0015</td>\n",
       "      <td>0.0133</td>\n",
       "      <td>0.0129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>153</th>\n",
       "      <td>56.6</td>\n",
       "      <td>0.593</td>\n",
       "      <td>0.002</td>\n",
       "      <td>0.0136</td>\n",
       "      <td>0.0137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>154</th>\n",
       "      <td>71.3</td>\n",
       "      <td>0.52</td>\n",
       "      <td>0.00332</td>\n",
       "      <td>0.013</td>\n",
       "      <td>0.0152</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>155</th>\n",
       "      <td>89.7</td>\n",
       "      <td>0.441</td>\n",
       "      <td>0.00436</td>\n",
       "      <td>0.0134</td>\n",
       "      <td>0.0129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>156</th>\n",
       "      <td>#p_beam</td>\n",
       "      <td>=</td>\n",
       "      <td>350</td>\n",
       "      <td>GeV/c</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>157</th>\n",
       "      <td>#Particle</td>\n",
       "      <td>=</td>\n",
       "      <td>kaon+</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>158</th>\n",
       "      <td>#&lt;p&gt;/GeV/c</td>\n",
       "      <td>p*(dn/dp)</td>\n",
       "      <td>stat</td>\n",
       "      <td>syst-</td>\n",
       "      <td>syst+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>159</th>\n",
       "      <td>1.79</td>\n",
       "      <td>0.0702</td>\n",
       "      <td>0.00314</td>\n",
       "      <td>0.0135</td>\n",
       "      <td>0.00981</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>160</th>\n",
       "      <td>5.55</td>\n",
       "      <td>0.096</td>\n",
       "      <td>0.00135</td>\n",
       "      <td>0.00718</td>\n",
       "      <td>0.0151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>161</th>\n",
       "      <td>7.13</td>\n",
       "      <td>0.0966</td>\n",
       "      <td>0.000903</td>\n",
       "      <td>0.00326</td>\n",
       "      <td>0.00844</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>162</th>\n",
       "      <td>8.97</td>\n",
       "      <td>0.0991</td>\n",
       "      <td>0.000675</td>\n",
       "      <td>0.00239</td>\n",
       "      <td>0.00604</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>163</th>\n",
       "      <td>11.3</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.000557</td>\n",
       "      <td>0.00197</td>\n",
       "      <td>0.00404</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>164</th>\n",
       "      <td>14.2</td>\n",
       "      <td>0.099</td>\n",
       "      <td>0.000506</td>\n",
       "      <td>0.00199</td>\n",
       "      <td>0.00324</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>165</th>\n",
       "      <td>17.9</td>\n",
       "      <td>0.0961</td>\n",
       "      <td>0.00048</td>\n",
       "      <td>0.00179</td>\n",
       "      <td>0.00242</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>166</th>\n",
       "      <td>22.5</td>\n",
       "      <td>0.0916</td>\n",
       "      <td>0.000506</td>\n",
       "      <td>0.00177</td>\n",
       "      <td>0.00203</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>167</th>\n",
       "      <td>28.4</td>\n",
       "      <td>0.0856</td>\n",
       "      <td>0.000584</td>\n",
       "      <td>0.00197</td>\n",
       "      <td>0.00198</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>168</th>\n",
       "      <td>35.7</td>\n",
       "      <td>0.0778</td>\n",
       "      <td>0.000749</td>\n",
       "      <td>0.00236</td>\n",
       "      <td>0.00217</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>169</th>\n",
       "      <td>45</td>\n",
       "      <td>0.0685</td>\n",
       "      <td>0.00111</td>\n",
       "      <td>0.00516</td>\n",
       "      <td>0.00395</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>170</th>\n",
       "      <td>56.6</td>\n",
       "      <td>0.0565</td>\n",
       "      <td>0.00138</td>\n",
       "      <td>0.0134</td>\n",
       "      <td>0.00755</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>171</th>\n",
       "      <td>#p_beam</td>\n",
       "      <td>=</td>\n",
       "      <td>350</td>\n",
       "      <td>GeV/c</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>172</th>\n",
       "      <td>#Particle</td>\n",
       "      <td>=</td>\n",
       "      <td>kaon-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>173</th>\n",
       "      <td>#&lt;p&gt;/GeV/c</td>\n",
       "      <td>p*(dn/dp)</td>\n",
       "      <td>stat</td>\n",
       "      <td>syst-</td>\n",
       "      <td>syst+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>174</th>\n",
       "      <td>1.79</td>\n",
       "      <td>0.0421</td>\n",
       "      <td>0.00227</td>\n",
       "      <td>0.00598</td>\n",
       "      <td>0.00561</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>175</th>\n",
       "      <td>3.6</td>\n",
       "      <td>0.0573</td>\n",
       "      <td>0.00213</td>\n",
       "      <td>0.0099</td>\n",
       "      <td>0.00989</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>176</th>\n",
       "      <td>4.34</td>\n",
       "      <td>0.0726</td>\n",
       "      <td>0.00131</td>\n",
       "      <td>0.00508</td>\n",
       "      <td>0.00851</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>177</th>\n",
       "      <td>5.55</td>\n",
       "      <td>0.0844</td>\n",
       "      <td>0.000777</td>\n",
       "      <td>0.00308</td>\n",
       "      <td>0.0116</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>178</th>\n",
       "      <td>7.13</td>\n",
       "      <td>0.0907</td>\n",
       "      <td>0.000627</td>\n",
       "      <td>0.0019</td>\n",
       "      <td>0.00693</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>179</th>\n",
       "      <td>8.97</td>\n",
       "      <td>0.0921</td>\n",
       "      <td>0.000533</td>\n",
       "      <td>0.00172</td>\n",
       "      <td>0.00459</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>180</th>\n",
       "      <td>11.3</td>\n",
       "      <td>0.0948</td>\n",
       "      <td>0.000492</td>\n",
       "      <td>0.00171</td>\n",
       "      <td>0.00364</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>181</th>\n",
       "      <td>14.2</td>\n",
       "      <td>0.0959</td>\n",
       "      <td>0.000466</td>\n",
       "      <td>0.00159</td>\n",
       "      <td>0.00282</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>182</th>\n",
       "      <td>17.9</td>\n",
       "      <td>0.0938</td>\n",
       "      <td>0.000452</td>\n",
       "      <td>0.00175</td>\n",
       "      <td>0.00239</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>183</th>\n",
       "      <td>22.5</td>\n",
       "      <td>0.0916</td>\n",
       "      <td>0.000467</td>\n",
       "      <td>0.00155</td>\n",
       "      <td>0.00182</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>184</th>\n",
       "      <td>28.4</td>\n",
       "      <td>0.0881</td>\n",
       "      <td>0.000548</td>\n",
       "      <td>0.00163</td>\n",
       "      <td>0.00167</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>185</th>\n",
       "      <td>35.7</td>\n",
       "      <td>0.083</td>\n",
       "      <td>0.000727</td>\n",
       "      <td>0.00224</td>\n",
       "      <td>0.00213</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>186</th>\n",
       "      <td>45</td>\n",
       "      <td>0.0747</td>\n",
       "      <td>0.00111</td>\n",
       "      <td>0.00463</td>\n",
       "      <td>0.00356</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>187</th>\n",
       "      <td>56.6</td>\n",
       "      <td>0.0649</td>\n",
       "      <td>0.0016</td>\n",
       "      <td>0.0125</td>\n",
       "      <td>0.00718</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>188</th>\n",
       "      <td>#p_beam</td>\n",
       "      <td>=</td>\n",
       "      <td>350</td>\n",
       "      <td>GeV/c</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>189</th>\n",
       "      <td>#Particle</td>\n",
       "      <td>=</td>\n",
       "      <td>proton+</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>190</th>\n",
       "      <td>#&lt;p&gt;/GeV/c</td>\n",
       "      <td>p*(dn/dp)</td>\n",
       "      <td>stat</td>\n",
       "      <td>syst-</td>\n",
       "      <td>syst+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>191</th>\n",
       "      <td>3.08</td>\n",
       "      <td>0.154</td>\n",
       "      <td>0.00346</td>\n",
       "      <td>0.0151</td>\n",
       "      <td>0.0167</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192</th>\n",
       "      <td>3.6</td>\n",
       "      <td>0.134</td>\n",
       "      <td>0.00246</td>\n",
       "      <td>0.015</td>\n",
       "      <td>0.0148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>193</th>\n",
       "      <td>4.34</td>\n",
       "      <td>0.112</td>\n",
       "      <td>0.00145</td>\n",
       "      <td>0.00799</td>\n",
       "      <td>0.0105</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>194</th>\n",
       "      <td>5.55</td>\n",
       "      <td>0.0973</td>\n",
       "      <td>0.000794</td>\n",
       "      <td>0.00406</td>\n",
       "      <td>0.00886</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>7.13</td>\n",
       "      <td>0.0877</td>\n",
       "      <td>0.000593</td>\n",
       "      <td>0.00328</td>\n",
       "      <td>0.00569</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>8.97</td>\n",
       "      <td>0.0801</td>\n",
       "      <td>0.000474</td>\n",
       "      <td>0.00479</td>\n",
       "      <td>0.00405</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>197</th>\n",
       "      <td>11.3</td>\n",
       "      <td>0.0725</td>\n",
       "      <td>0.000392</td>\n",
       "      <td>0.0052</td>\n",
       "      <td>0.00356</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>14.2</td>\n",
       "      <td>0.0669</td>\n",
       "      <td>0.00035</td>\n",
       "      <td>0.00607</td>\n",
       "      <td>0.00446</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>17.9</td>\n",
       "      <td>0.0608</td>\n",
       "      <td>0.00033</td>\n",
       "      <td>0.00645</td>\n",
       "      <td>0.00516</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <td>22.5</td>\n",
       "      <td>0.0568</td>\n",
       "      <td>0.000339</td>\n",
       "      <td>0.00685</td>\n",
       "      <td>0.00535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>201</th>\n",
       "      <td>28.4</td>\n",
       "      <td>0.052</td>\n",
       "      <td>0.000365</td>\n",
       "      <td>0.00718</td>\n",
       "      <td>0.00573</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>202</th>\n",
       "      <td>35.7</td>\n",
       "      <td>0.0475</td>\n",
       "      <td>0.00042</td>\n",
       "      <td>0.00685</td>\n",
       "      <td>0.00561</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>203</th>\n",
       "      <td>45</td>\n",
       "      <td>0.0438</td>\n",
       "      <td>0.000514</td>\n",
       "      <td>0.00638</td>\n",
       "      <td>0.00583</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>204</th>\n",
       "      <td>56.6</td>\n",
       "      <td>0.0408</td>\n",
       "      <td>0.000609</td>\n",
       "      <td>0.00574</td>\n",
       "      <td>0.00743</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>205</th>\n",
       "      <td>71.3</td>\n",
       "      <td>0.0385</td>\n",
       "      <td>0.00074</td>\n",
       "      <td>0.00608</td>\n",
       "      <td>0.00927</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>206</th>\n",
       "      <td>89.7</td>\n",
       "      <td>0.0313</td>\n",
       "      <td>0.000753</td>\n",
       "      <td>0.00588</td>\n",
       "      <td>0.0086</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>207</th>\n",
       "      <td>#p_beam</td>\n",
       "      <td>=</td>\n",
       "      <td>350</td>\n",
       "      <td>GeV/c</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>208</th>\n",
       "      <td>#Particle</td>\n",
       "      <td>=</td>\n",
       "      <td>proton-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>209</th>\n",
       "      <td>#&lt;p&gt;/GeV/c</td>\n",
       "      <td>p*(dn/dp)</td>\n",
       "      <td>stat</td>\n",
       "      <td>syst-</td>\n",
       "      <td>syst+</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>210</th>\n",
       "      <td>4.34</td>\n",
       "      <td>0.0223</td>\n",
       "      <td>0.000552</td>\n",
       "      <td>0.00388</td>\n",
       "      <td>0.00406</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>211</th>\n",
       "      <td>5.55</td>\n",
       "      <td>0.0259</td>\n",
       "      <td>0.000403</td>\n",
       "      <td>0.00442</td>\n",
       "      <td>0.00404</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>212</th>\n",
       "      <td>7.13</td>\n",
       "      <td>0.0308</td>\n",
       "      <td>0.00036</td>\n",
       "      <td>0.00513</td>\n",
       "      <td>0.00439</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>213</th>\n",
       "      <td>8.97</td>\n",
       "      <td>0.0348</td>\n",
       "      <td>0.000333</td>\n",
       "      <td>0.00565</td>\n",
       "      <td>0.00484</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>214</th>\n",
       "      <td>11.3</td>\n",
       "      <td>0.0378</td>\n",
       "      <td>0.000309</td>\n",
       "      <td>0.00552</td>\n",
       "      <td>0.00478</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>215</th>\n",
       "      <td>14.2</td>\n",
       "      <td>0.0401</td>\n",
       "      <td>0.000296</td>\n",
       "      <td>0.00556</td>\n",
       "      <td>0.00512</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>216</th>\n",
       "      <td>17.9</td>\n",
       "      <td>0.0415</td>\n",
       "      <td>0.00029</td>\n",
       "      <td>0.00537</td>\n",
       "      <td>0.00524</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>217</th>\n",
       "      <td>22.5</td>\n",
       "      <td>0.0422</td>\n",
       "      <td>0.000301</td>\n",
       "      <td>0.00539</td>\n",
       "      <td>0.00486</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>218</th>\n",
       "      <td>28.4</td>\n",
       "      <td>0.0418</td>\n",
       "      <td>0.000335</td>\n",
       "      <td>0.00563</td>\n",
       "      <td>0.00513</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>219</th>\n",
       "      <td>35.7</td>\n",
       "      <td>0.0409</td>\n",
       "      <td>0.000398</td>\n",
       "      <td>0.00554</td>\n",
       "      <td>0.005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>220</th>\n",
       "      <td>45</td>\n",
       "      <td>0.0403</td>\n",
       "      <td>0.000514</td>\n",
       "      <td>0.00523</td>\n",
       "      <td>0.00504</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>221</th>\n",
       "      <td>56.6</td>\n",
       "      <td>0.0407</td>\n",
       "      <td>0.000652</td>\n",
       "      <td>0.00526</td>\n",
       "      <td>0.00686</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>222</th>\n",
       "      <td>71.3</td>\n",
       "      <td>0.0412</td>\n",
       "      <td>0.000844</td>\n",
       "      <td>0.00682</td>\n",
       "      <td>0.0106</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>223</th>\n",
       "      <td>89.7</td>\n",
       "      <td>0.0398</td>\n",
       "      <td>0.00112</td>\n",
       "      <td>0.00799</td>\n",
       "      <td>0.0111</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              x          y     ystat     ysys-    ysys+\n",
       "0       #p_beam          =       158     GeV/c      NaN\n",
       "1     #Particle          =     pion+       NaN      NaN\n",
       "2    #<p>/GeV/c  p*(dn/dp)      stat     syst-    syst+\n",
       "3          1.42      0.782   0.00948    0.0449   0.0326\n",
       "4           2.2      0.778    0.0054    0.0251   0.0221\n",
       "5          2.62       0.81   0.00229    0.0213   0.0188\n",
       "6          3.08      0.803   0.00533    0.0194   0.0152\n",
       "7           3.6       0.79   0.00181    0.0224   0.0169\n",
       "8          4.34      0.782   0.00154     0.023   0.0162\n",
       "9          5.55      0.765   0.00114    0.0254    0.017\n",
       "10         7.13      0.727   0.00115    0.0199   0.0167\n",
       "11         8.97      0.684   0.00109     0.016   0.0151\n",
       "12         11.3       0.63   0.00102    0.0124   0.0129\n",
       "13         14.2       0.57   0.00096      0.01   0.0106\n",
       "14         17.9      0.504  0.000895   0.00847  0.00875\n",
       "15         22.5      0.429  0.000822   0.00706  0.00715\n",
       "16         28.4      0.352  0.000753   0.00607  0.00593\n",
       "17         35.7      0.278   0.00075   0.00712  0.00704\n",
       "18           45       0.21  0.000951    0.0106  0.00575\n",
       "19         56.6      0.144  0.000933   0.00403  0.00453\n",
       "20         71.3     0.0911  0.000687   0.00328  0.00369\n",
       "21         89.7     0.0519  0.000816   0.00172   0.0019\n",
       "22      #p_beam          =       158     GeV/c      NaN\n",
       "23    #Particle          =     pion-       NaN      NaN\n",
       "24   #<p>/GeV/c  p*(dn/dp)      stat     syst-    syst+\n",
       "25         1.42      0.833      0.01     0.052   0.0261\n",
       "26          2.2      0.882   0.00405    0.0265   0.0231\n",
       "27         2.62      0.908   0.00227    0.0219   0.0189\n",
       "28         3.08      0.911   0.00225    0.0208    0.018\n",
       "29          3.6       0.92    0.0019    0.0224   0.0178\n",
       "30         4.34      0.922    0.0016    0.0238    0.019\n",
       "31         5.55      0.924   0.00127    0.0275   0.0193\n",
       "32         7.13      0.901   0.00129    0.0221   0.0188\n",
       "33         8.97      0.873   0.00124    0.0177   0.0171\n",
       "34         11.3      0.832   0.00118    0.0143   0.0144\n",
       "35         14.2      0.781   0.00113    0.0124   0.0126\n",
       "36         17.9      0.722   0.00107    0.0121    0.011\n",
       "37         22.5      0.651   0.00102   0.00989  0.00985\n",
       "38         28.4      0.574   0.00099   0.00868  0.00857\n",
       "39         35.7      0.491   0.00101    0.0076  0.00746\n",
       "40           45      0.407   0.00112    0.0209  0.00765\n",
       "41         56.6       0.33   0.00135    0.0073  0.00706\n",
       "42         71.3      0.268   0.00141   0.00856  0.00904\n",
       "43      #p_beam          =       158     GeV/c      NaN\n",
       "44    #Particle          =     kaon+       NaN      NaN\n",
       "45   #<p>/GeV/c  p*(dn/dp)      stat     syst-    syst+\n",
       "46         1.79     0.0588   0.00324    0.0103   0.0101\n",
       "47         5.55     0.0861   0.00127   0.00656   0.0142\n",
       "48         7.13     0.0858  0.000833   0.00288   0.0073\n",
       "49         8.97     0.0868  0.000619   0.00188  0.00425\n",
       "50         11.3     0.0856  0.000501   0.00167  0.00239\n",
       "51         14.2     0.0803  0.000444   0.00147  0.00182\n",
       "52         17.9     0.0733  0.000417   0.00151  0.00162\n",
       "53         22.5     0.0658   0.00042   0.00137  0.00135\n",
       "54         28.4      0.055  0.000463   0.00138  0.00139\n",
       "55         35.7     0.0467  0.000573   0.00186  0.00168\n",
       "56           45     0.0369  0.000741    0.0037  0.00858\n",
       "57         56.6     0.0256  0.000781    0.0064  0.00432\n",
       "58         71.3     0.0153  0.000739   0.00125  0.00443\n",
       "59      #p_beam          =       158     GeV/c      NaN\n",
       "60    #Particle          =     kaon-       NaN      NaN\n",
       "61   #<p>/GeV/c  p*(dn/dp)      stat     syst-    syst+\n",
       "62         1.79     0.0443   0.00231   0.00695   0.0052\n",
       "63          3.6     0.0594    0.0021    0.0123   0.0129\n",
       "64         4.34       0.07   0.00129    0.0045  0.00982\n",
       "65         5.55     0.0781  0.000762   0.00294   0.0127\n",
       "66         7.13     0.0827   0.00059   0.00191  0.00649\n",
       "67         8.97     0.0833  0.000501   0.00132  0.00355\n",
       "68         11.3     0.0835  0.000449   0.00127  0.00239\n",
       "69         14.2     0.0805  0.000416   0.00133  0.00199\n",
       "70         17.9     0.0772  0.000401   0.00138  0.00521\n",
       "71         22.5     0.0713  0.000411   0.00143  0.00147\n",
       "72         28.4     0.0633  0.000469   0.00129  0.00127\n",
       "73         35.7     0.0548  0.000596   0.00166  0.00148\n",
       "74           45     0.0438  0.000824   0.00379   0.0192\n",
       "75         56.6     0.0345   0.00108   0.00674  0.00467\n",
       "76      #p_beam          =       158     GeV/c      NaN\n",
       "77    #Particle          =   proton+       NaN      NaN\n",
       "78   #<p>/GeV/c  p*(dn/dp)      stat     syst-    syst+\n",
       "79          2.2      0.145   0.00533   0.00746   0.0134\n",
       "80         3.08      0.156   0.00309    0.0168  0.00898\n",
       "81          3.6      0.129    0.0023    0.0138    0.038\n",
       "82         4.34      0.112   0.00139   0.00787   0.0239\n",
       "83         5.55     0.0965  0.000748   0.00508   0.0181\n",
       "84         7.13     0.0852  0.000548   0.00656   0.0112\n",
       "85         8.97      0.074  0.000429   0.00749  0.00884\n",
       "86         11.3     0.0664  0.000349   0.00812  0.00599\n",
       "87         14.2     0.0585  0.000304   0.00802  0.00619\n",
       "88         17.9      0.052  0.000281    0.0077  0.00638\n",
       "89         22.5     0.0467  0.000285   0.00758  0.00639\n",
       "90         28.4     0.0406  0.000295   0.00668  0.00592\n",
       "91         35.7     0.0338  0.000321   0.00537  0.00527\n",
       "92           45     0.0282  0.000356     0.004  0.00469\n",
       "93         56.6     0.0221   0.00036   0.00263  0.00456\n",
       "94         71.3     0.0157   0.00034   0.00248  0.00596\n",
       "95      #p_beam          =       158     GeV/c      NaN\n",
       "96    #Particle          =   proton-       NaN      NaN\n",
       "97   #<p>/GeV/c  p*(dn/dp)      stat     syst-    syst+\n",
       "98         4.34     0.0222  0.000521   0.00502  0.00477\n",
       "99         5.55     0.0255  0.000369   0.00548  0.00504\n",
       "100        7.13     0.0302  0.000333   0.00616  0.00537\n",
       "101        8.97      0.033  0.000302   0.00641   0.0054\n",
       "102        11.3     0.0349  0.000274   0.00632  0.00543\n",
       "103        14.2     0.0367  0.000255   0.00636  0.00576\n",
       "104        17.9     0.0368   0.00025   0.00618  0.00548\n",
       "105        22.5     0.0366   0.00026    0.0061  0.00549\n",
       "106        28.4     0.0352  0.000283   0.00552  0.00537\n",
       "107        35.7     0.0323  0.000322   0.00448  0.00474\n",
       "108          45       0.03  0.000382   0.00332  0.00439\n",
       "109        56.6     0.0257  0.000445   0.00277  0.00428\n",
       "110        71.3     0.0215  0.000489   0.00347  0.00551\n",
       "111        89.7     0.0133  0.000629  0.000484  0.00449\n",
       "112     #p_beam          =       350     GeV/c      NaN\n",
       "113   #Particle          =     pion+       NaN      NaN\n",
       "114  #<p>/GeV/c  p*(dn/dp)      stat     syst-    syst+\n",
       "115        1.42      0.785   0.00924    0.0609   0.0557\n",
       "116         2.2      0.818   0.00524    0.0277   0.0253\n",
       "117        2.62      0.859   0.00226     0.018   0.0196\n",
       "118        3.08      0.866     0.003    0.0174   0.0187\n",
       "119         3.6      0.868   0.00186    0.0186   0.0189\n",
       "120        4.34       0.87   0.00158    0.0191   0.0181\n",
       "121        5.55      0.873    0.0012    0.0235   0.0187\n",
       "122        7.13      0.857   0.00123    0.0214   0.0184\n",
       "123        8.97      0.837   0.00118    0.0206   0.0182\n",
       "124        11.3      0.803   0.00114    0.0187   0.0172\n",
       "125        14.2      0.763    0.0011    0.0173    0.016\n",
       "126        17.9      0.716   0.00105    0.0159   0.0146\n",
       "127        22.5       0.66   0.00101    0.0148   0.0131\n",
       "128        28.4      0.596  0.000992     0.014    0.012\n",
       "129        35.7      0.523   0.00106     0.013    0.011\n",
       "130          45       0.45   0.00129    0.0127    0.011\n",
       "131        56.6       0.37   0.00258    0.0116   0.0117\n",
       "132        71.3      0.297   0.00263    0.0101   0.0113\n",
       "133        89.7       0.23   0.00222   0.00939  0.00922\n",
       "134     #p_beam          =       350     GeV/c      NaN\n",
       "135   #Particle          =     pion-       NaN      NaN\n",
       "136  #<p>/GeV/c  p*(dn/dp)      stat     syst-    syst+\n",
       "137        1.42        0.8   0.00855    0.0403   0.0533\n",
       "138         2.2      0.895   0.00329    0.0185   0.0205\n",
       "139        2.62      0.917   0.00219    0.0181   0.0197\n",
       "140        3.08      0.932   0.00235    0.0334   0.0198\n",
       "141         3.6      0.947    0.0019    0.0202   0.0206\n",
       "142        4.34      0.963   0.00161    0.0208   0.0202\n",
       "143        5.55      0.974   0.00127     0.026   0.0211\n",
       "144        7.13      0.973   0.00131    0.0239   0.0208\n",
       "145        8.97      0.965   0.00127    0.0221   0.0205\n",
       "146        11.3      0.949   0.00123    0.0204   0.0196\n",
       "147        14.2      0.924    0.0012    0.0189   0.0182\n",
       "148        17.9      0.892   0.00117    0.0176   0.0166\n",
       "149        22.5      0.845   0.00114     0.017   0.0161\n",
       "150        28.4      0.795   0.00115    0.0163   0.0155\n",
       "151        35.7      0.737   0.00125    0.0144   0.0138\n",
       "152          45      0.667    0.0015    0.0133   0.0129\n",
       "153        56.6      0.593     0.002    0.0136   0.0137\n",
       "154        71.3       0.52   0.00332     0.013   0.0152\n",
       "155        89.7      0.441   0.00436    0.0134   0.0129\n",
       "156     #p_beam          =       350     GeV/c      NaN\n",
       "157   #Particle          =     kaon+       NaN      NaN\n",
       "158  #<p>/GeV/c  p*(dn/dp)      stat     syst-    syst+\n",
       "159        1.79     0.0702   0.00314    0.0135  0.00981\n",
       "160        5.55      0.096   0.00135   0.00718   0.0151\n",
       "161        7.13     0.0966  0.000903   0.00326  0.00844\n",
       "162        8.97     0.0991  0.000675   0.00239  0.00604\n",
       "163        11.3        0.1  0.000557   0.00197  0.00404\n",
       "164        14.2      0.099  0.000506   0.00199  0.00324\n",
       "165        17.9     0.0961   0.00048   0.00179  0.00242\n",
       "166        22.5     0.0916  0.000506   0.00177  0.00203\n",
       "167        28.4     0.0856  0.000584   0.00197  0.00198\n",
       "168        35.7     0.0778  0.000749   0.00236  0.00217\n",
       "169          45     0.0685   0.00111   0.00516  0.00395\n",
       "170        56.6     0.0565   0.00138    0.0134  0.00755\n",
       "171     #p_beam          =       350     GeV/c      NaN\n",
       "172   #Particle          =     kaon-       NaN      NaN\n",
       "173  #<p>/GeV/c  p*(dn/dp)      stat     syst-    syst+\n",
       "174        1.79     0.0421   0.00227   0.00598  0.00561\n",
       "175         3.6     0.0573   0.00213    0.0099  0.00989\n",
       "176        4.34     0.0726   0.00131   0.00508  0.00851\n",
       "177        5.55     0.0844  0.000777   0.00308   0.0116\n",
       "178        7.13     0.0907  0.000627    0.0019  0.00693\n",
       "179        8.97     0.0921  0.000533   0.00172  0.00459\n",
       "180        11.3     0.0948  0.000492   0.00171  0.00364\n",
       "181        14.2     0.0959  0.000466   0.00159  0.00282\n",
       "182        17.9     0.0938  0.000452   0.00175  0.00239\n",
       "183        22.5     0.0916  0.000467   0.00155  0.00182\n",
       "184        28.4     0.0881  0.000548   0.00163  0.00167\n",
       "185        35.7      0.083  0.000727   0.00224  0.00213\n",
       "186          45     0.0747   0.00111   0.00463  0.00356\n",
       "187        56.6     0.0649    0.0016    0.0125  0.00718\n",
       "188     #p_beam          =       350     GeV/c      NaN\n",
       "189   #Particle          =   proton+       NaN      NaN\n",
       "190  #<p>/GeV/c  p*(dn/dp)      stat     syst-    syst+\n",
       "191        3.08      0.154   0.00346    0.0151   0.0167\n",
       "192         3.6      0.134   0.00246     0.015   0.0148\n",
       "193        4.34      0.112   0.00145   0.00799   0.0105\n",
       "194        5.55     0.0973  0.000794   0.00406  0.00886\n",
       "195        7.13     0.0877  0.000593   0.00328  0.00569\n",
       "196        8.97     0.0801  0.000474   0.00479  0.00405\n",
       "197        11.3     0.0725  0.000392    0.0052  0.00356\n",
       "198        14.2     0.0669   0.00035   0.00607  0.00446\n",
       "199        17.9     0.0608   0.00033   0.00645  0.00516\n",
       "200        22.5     0.0568  0.000339   0.00685  0.00535\n",
       "201        28.4      0.052  0.000365   0.00718  0.00573\n",
       "202        35.7     0.0475   0.00042   0.00685  0.00561\n",
       "203          45     0.0438  0.000514   0.00638  0.00583\n",
       "204        56.6     0.0408  0.000609   0.00574  0.00743\n",
       "205        71.3     0.0385   0.00074   0.00608  0.00927\n",
       "206        89.7     0.0313  0.000753   0.00588   0.0086\n",
       "207     #p_beam          =       350     GeV/c      NaN\n",
       "208   #Particle          =   proton-       NaN      NaN\n",
       "209  #<p>/GeV/c  p*(dn/dp)      stat     syst-    syst+\n",
       "210        4.34     0.0223  0.000552   0.00388  0.00406\n",
       "211        5.55     0.0259  0.000403   0.00442  0.00404\n",
       "212        7.13     0.0308   0.00036   0.00513  0.00439\n",
       "213        8.97     0.0348  0.000333   0.00565  0.00484\n",
       "214        11.3     0.0378  0.000309   0.00552  0.00478\n",
       "215        14.2     0.0401  0.000296   0.00556  0.00512\n",
       "216        17.9     0.0415   0.00029   0.00537  0.00524\n",
       "217        22.5     0.0422  0.000301   0.00539  0.00486\n",
       "218        28.4     0.0418  0.000335   0.00563  0.00513\n",
       "219        35.7     0.0409  0.000398   0.00554    0.005\n",
       "220          45     0.0403  0.000514   0.00523  0.00504\n",
       "221        56.6     0.0407  0.000652   0.00526  0.00686\n",
       "222        71.3     0.0412  0.000844   0.00682   0.0106\n",
       "223        89.7     0.0398   0.00112   0.00799   0.0111"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dfn = df.apply(pd.to_numeric, errors='coerce', axis=1)\n",
    "#display(dfn)\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "3c3cc6c6",
   "metadata": {},
   "outputs": [],
   "source": [
    "#energy\n",
    "\n",
    "#for i in range (len(df)) :\n",
    "#    if (dfn.ystat.iloc[i]==158) :\n",
    "#        print('158 @ index', dfn.index[i])\n",
    "#    elif (dfn.ystat.iloc[i]==350) :\n",
    "#        print('350 @ index', dfn.index[i])        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "d36e2ab0",
   "metadata": {},
   "outputs": [],
   "source": [
    "#for i in range (len(dfn)) :\n",
    "#    if (dfn.ystat.iloc[i]==158 and dfn.ystat.iloc[i]==350) :     "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76a1d410",
   "metadata": {},
   "source": [
    "One calculates the total error bars, merging together contributions from statistic and systematic errors following the formula $\\Delta_{\\text{tot}} = \\sqrt{{\\Delta_{\\text{stat}}}^2 + {\\Delta_{\\text{sys}}}^2}$ for both upper and lower parts."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "f316bca3",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "dfn.loc[:,'yerrm'] = sqrt((dfn['ystat'])**2 + (dfn['ysys-'])**2)\n",
    "dfn.loc[:,'yerrp'] = sqrt((dfn['ystat'])**2 + (dfn['ysys+'])**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0c1f3ff",
   "metadata": {},
   "source": [
    "The x-axis binning was sent by Michael Unger at a later time and is implemented as a `list` with the values. When converting to a YODA1 file, one needed to format the dataset following where a value `x` in a x-bin was defined with `xerr-` and `xerr+` errorbars. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "de31631c",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "dfc = dfn\n",
    "dfc = dfc.drop(['ystat', 'ysys-', 'ysys+'], axis=1)\n",
    "dfc.insert(1, 'xerrm', 0.000000e+00)\n",
    "dfc.insert(2, 'xerrp', 0.000000e+00)\n",
    "    \n",
    "xbin = [0.1, 0.1318, 0.1622, 0.1995, 0.2512, 0.3162, 0.3890, 0.4786, 0.6026, 0.7586, 0.9550, 1.259, 1.585, 1.995, 2.399, 2.851, 3.311, 3.890, 4.786, 6.310, 7.943, 10., 12.59, 15.85, 19.95, 25.12, 31.62, 39.81, 50.12, 63.10, 79.43, 100., 125.9, 158.5, 199.5, 251.2, 316.2]\n",
    "\n",
    "for i in range (0, len(dfc)) :\n",
    "    for j in range (0, len(xbin)-1):\n",
    "        if (dfc.x.loc[i]>xbin[j] and dfc.x.loc[i]<xbin[j+1] and xbin[j]<xbin[j+1] ):\n",
    "            dfc.xerrm.loc[i] = dfc.x.loc[i]-xbin[j]\n",
    "            dfc.xerrp.loc[i] = xbin[j+1]-dfc.x.loc[i]\n",
    "\n",
    "dfc = dfc.rename(columns={\"xerrm\": \"xerr-\", \"xerrp\": \"xerr+\", \"yerrm\": \"yerr-\", \"yerrp\": \"yerr+\"})   \n",
    "dfc = dfc.to_string(index=False)\n",
    "#print(dfc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "d3b758fb",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 : {stat: {dn: 0.00948 , up: 0.00948 }, sys: {dn: 0.0449 , up: 0.0326 }},\n",
      "1 : {stat: {dn: 0.0054 , up: 0.0054 }, sys: {dn: 0.0251 , up: 0.0221 }},\n",
      "2 : {stat: {dn: 0.00229 , up: 0.00229 }, sys: {dn: 0.0213 , up: 0.0188 }},\n",
      "3 : {stat: {dn: 0.00533 , up: 0.00533 }, sys: {dn: 0.0194 , up: 0.0152 }},\n",
      "4 : {stat: {dn: 0.00181 , up: 0.00181 }, sys: {dn: 0.0224 , up: 0.0169 }},\n",
      "5 : {stat: {dn: 0.00154 , up: 0.00154 }, sys: {dn: 0.023 , up: 0.0162 }},\n",
      "6 : {stat: {dn: 0.00114 , up: 0.00114 }, sys: {dn: 0.0254 , up: 0.017 }},\n",
      "7 : {stat: {dn: 0.00115 , up: 0.00115 }, sys: {dn: 0.0199 , up: 0.0167 }},\n",
      "8 : {stat: {dn: 0.00109 , up: 0.00109 }, sys: {dn: 0.016 , up: 0.0151 }},\n",
      "9 : {stat: {dn: 0.00102 , up: 0.00102 }, sys: {dn: 0.0124 , up: 0.0129 }},\n",
      "10 : {stat: {dn: 0.00096 , up: 0.00096 }, sys: {dn: 0.01 , up: 0.0106 }},\n",
      "11 : {stat: {dn: 0.000895 , up: 0.000895 }, sys: {dn: 0.00847 , up: 0.00875 }},\n",
      "12 : {stat: {dn: 0.000822 , up: 0.000822 }, sys: {dn: 0.00706 , up: 0.00715 }},\n",
      "13 : {stat: {dn: 0.000753 , up: 0.000753 }, sys: {dn: 0.00607 , up: 0.00593 }},\n",
      "14 : {stat: {dn: 0.00075 , up: 0.00075 }, sys: {dn: 0.00712 , up: 0.00704 }},\n",
      "15 : {stat: {dn: 0.000951 , up: 0.000951 }, sys: {dn: 0.0106 , up: 0.00575 }},\n",
      "16 : {stat: {dn: 0.000933 , up: 0.000933 }, sys: {dn: 0.00403 , up: 0.00453 }},\n",
      "17 : {stat: {dn: 0.000687 , up: 0.000687 }, sys: {dn: 0.00328 , up: 0.00369 }},\n",
      "18 : {stat: {dn: 0.000816 , up: 0.000816 }, sys: {dn: 0.00172 , up: 0.0019 }},\n",
      "0 : {stat: {dn: 0.01 , up: 0.01 }, sys: {dn: 0.052 , up: 0.0261 }},\n",
      "1 : {stat: {dn: 0.00405 , up: 0.00405 }, sys: {dn: 0.0265 , up: 0.0231 }},\n",
      "2 : {stat: {dn: 0.00227 , up: 0.00227 }, sys: {dn: 0.0219 , up: 0.0189 }},\n",
      "3 : {stat: {dn: 0.00225 , up: 0.00225 }, sys: {dn: 0.0208 , up: 0.018 }},\n",
      "4 : {stat: {dn: 0.0019 , up: 0.0019 }, sys: {dn: 0.0224 , up: 0.0178 }},\n",
      "5 : {stat: {dn: 0.0016 , up: 0.0016 }, sys: {dn: 0.0238 , up: 0.019 }},\n",
      "6 : {stat: {dn: 0.00127 , up: 0.00127 }, sys: {dn: 0.0275 , up: 0.0193 }},\n",
      "7 : {stat: {dn: 0.00129 , up: 0.00129 }, sys: {dn: 0.0221 , up: 0.0188 }},\n",
      "8 : {stat: {dn: 0.00124 , up: 0.00124 }, sys: {dn: 0.0177 , up: 0.0171 }},\n",
      "9 : {stat: {dn: 0.00118 , up: 0.00118 }, sys: {dn: 0.0143 , up: 0.0144 }},\n",
      "10 : {stat: {dn: 0.00113 , up: 0.00113 }, sys: {dn: 0.0124 , up: 0.0126 }},\n",
      "11 : {stat: {dn: 0.00107 , up: 0.00107 }, sys: {dn: 0.0121 , up: 0.011 }},\n",
      "12 : {stat: {dn: 0.00102 , up: 0.00102 }, sys: {dn: 0.00989 , up: 0.00985 }},\n",
      "13 : {stat: {dn: 0.00099 , up: 0.00099 }, sys: {dn: 0.00868 , up: 0.00857 }},\n",
      "14 : {stat: {dn: 0.00101 , up: 0.00101 }, sys: {dn: 0.0076 , up: 0.00746 }},\n",
      "15 : {stat: {dn: 0.00112 , up: 0.00112 }, sys: {dn: 0.0209 , up: 0.00765 }},\n",
      "16 : {stat: {dn: 0.00135 , up: 0.00135 }, sys: {dn: 0.0073 , up: 0.00706 }},\n",
      "17 : {stat: {dn: 0.00141 , up: 0.00141 }, sys: {dn: 0.00856 , up: 0.00904 }},\n",
      "0 : {stat: {dn: 0.00324 , up: 0.00324 }, sys: {dn: 0.0103 , up: 0.0101 }},\n",
      "1 : {stat: {dn: 0.00127 , up: 0.00127 }, sys: {dn: 0.00656 , up: 0.0142 }},\n",
      "2 : {stat: {dn: 0.000833 , up: 0.000833 }, sys: {dn: 0.00288 , up: 0.0073 }},\n",
      "3 : {stat: {dn: 0.000619 , up: 0.000619 }, sys: {dn: 0.00188 , up: 0.00425 }},\n",
      "4 : {stat: {dn: 0.000501 , up: 0.000501 }, sys: {dn: 0.00167 , up: 0.00239 }},\n",
      "5 : {stat: {dn: 0.000444 , up: 0.000444 }, sys: {dn: 0.00147 , up: 0.00182 }},\n",
      "6 : {stat: {dn: 0.000417 , up: 0.000417 }, sys: {dn: 0.00151 , up: 0.00162 }},\n",
      "7 : {stat: {dn: 0.00042 , up: 0.00042 }, sys: {dn: 0.00137 , up: 0.00135 }},\n",
      "8 : {stat: {dn: 0.000463 , up: 0.000463 }, sys: {dn: 0.00138 , up: 0.00139 }},\n",
      "9 : {stat: {dn: 0.000573 , up: 0.000573 }, sys: {dn: 0.00186 , up: 0.00168 }},\n",
      "10 : {stat: {dn: 0.000741 , up: 0.000741 }, sys: {dn: 0.0037 , up: 0.00858 }},\n",
      "11 : {stat: {dn: 0.000781 , up: 0.000781 }, sys: {dn: 0.0064 , up: 0.00432 }},\n",
      "12 : {stat: {dn: 0.000739 , up: 0.000739 }, sys: {dn: 0.00125 , up: 0.00443 }},\n",
      "0 : {stat: {dn: 0.00231 , up: 0.00231 }, sys: {dn: 0.00695 , up: 0.0052 }},\n",
      "1 : {stat: {dn: 0.0021 , up: 0.0021 }, sys: {dn: 0.0123 , up: 0.0129 }},\n",
      "2 : {stat: {dn: 0.00129 , up: 0.00129 }, sys: {dn: 0.0045 , up: 0.00982 }},\n",
      "3 : {stat: {dn: 0.000762 , up: 0.000762 }, sys: {dn: 0.00294 , up: 0.0127 }},\n",
      "4 : {stat: {dn: 0.00059 , up: 0.00059 }, sys: {dn: 0.00191 , up: 0.00649 }},\n",
      "5 : {stat: {dn: 0.000501 , up: 0.000501 }, sys: {dn: 0.00132 , up: 0.00355 }},\n",
      "6 : {stat: {dn: 0.000449 , up: 0.000449 }, sys: {dn: 0.00127 , up: 0.00239 }},\n",
      "7 : {stat: {dn: 0.000416 , up: 0.000416 }, sys: {dn: 0.00133 , up: 0.00199 }},\n",
      "8 : {stat: {dn: 0.000401 , up: 0.000401 }, sys: {dn: 0.00138 , up: 0.00521 }},\n",
      "9 : {stat: {dn: 0.000411 , up: 0.000411 }, sys: {dn: 0.00143 , up: 0.00147 }},\n",
      "10 : {stat: {dn: 0.000469 , up: 0.000469 }, sys: {dn: 0.00129 , up: 0.00127 }},\n",
      "11 : {stat: {dn: 0.000596 , up: 0.000596 }, sys: {dn: 0.00166 , up: 0.00148 }},\n",
      "12 : {stat: {dn: 0.000824 , up: 0.000824 }, sys: {dn: 0.00379 , up: 0.0192 }},\n",
      "13 : {stat: {dn: 0.00108 , up: 0.00108 }, sys: {dn: 0.00674 , up: 0.00467 }},\n",
      "0 : {stat: {dn: 0.00533 , up: 0.00533 }, sys: {dn: 0.00746 , up: 0.0134 }},\n",
      "1 : {stat: {dn: 0.00309 , up: 0.00309 }, sys: {dn: 0.0168 , up: 0.00898 }},\n",
      "2 : {stat: {dn: 0.0023 , up: 0.0023 }, sys: {dn: 0.0138 , up: 0.038 }},\n",
      "3 : {stat: {dn: 0.00139 , up: 0.00139 }, sys: {dn: 0.00787 , up: 0.0239 }},\n",
      "4 : {stat: {dn: 0.000748 , up: 0.000748 }, sys: {dn: 0.00508 , up: 0.0181 }},\n",
      "5 : {stat: {dn: 0.000548 , up: 0.000548 }, sys: {dn: 0.00656 , up: 0.0112 }},\n",
      "6 : {stat: {dn: 0.000429 , up: 0.000429 }, sys: {dn: 0.00749 , up: 0.00884 }},\n",
      "7 : {stat: {dn: 0.000349 , up: 0.000349 }, sys: {dn: 0.00812 , up: 0.00599 }},\n",
      "8 : {stat: {dn: 0.000304 , up: 0.000304 }, sys: {dn: 0.00802 , up: 0.00619 }},\n",
      "9 : {stat: {dn: 0.000281 , up: 0.000281 }, sys: {dn: 0.0077 , up: 0.00638 }},\n",
      "10 : {stat: {dn: 0.000285 , up: 0.000285 }, sys: {dn: 0.00758 , up: 0.00639 }},\n",
      "11 : {stat: {dn: 0.000295 , up: 0.000295 }, sys: {dn: 0.00668 , up: 0.00592 }},\n",
      "12 : {stat: {dn: 0.000321 , up: 0.000321 }, sys: {dn: 0.00537 , up: 0.00527 }},\n",
      "13 : {stat: {dn: 0.000356 , up: 0.000356 }, sys: {dn: 0.004 , up: 0.00469 }},\n",
      "14 : {stat: {dn: 0.00036 , up: 0.00036 }, sys: {dn: 0.00263 , up: 0.00456 }},\n",
      "15 : {stat: {dn: 0.00034 , up: 0.00034 }, sys: {dn: 0.00248 , up: 0.00596 }},\n",
      "0 : {stat: {dn: 0.000521 , up: 0.000521 }, sys: {dn: 0.00502 , up: 0.00477 }},\n",
      "1 : {stat: {dn: 0.000369 , up: 0.000369 }, sys: {dn: 0.00548 , up: 0.00504 }},\n",
      "2 : {stat: {dn: 0.000333 , up: 0.000333 }, sys: {dn: 0.00616 , up: 0.00537 }},\n",
      "3 : {stat: {dn: 0.000302 , up: 0.000302 }, sys: {dn: 0.00641 , up: 0.0054 }},\n",
      "4 : {stat: {dn: 0.000274 , up: 0.000274 }, sys: {dn: 0.00632 , up: 0.00543 }},\n",
      "5 : {stat: {dn: 0.000255 , up: 0.000255 }, sys: {dn: 0.00636 , up: 0.00576 }},\n",
      "6 : {stat: {dn: 0.00025 , up: 0.00025 }, sys: {dn: 0.00618 , up: 0.00548 }},\n",
      "7 : {stat: {dn: 0.00026 , up: 0.00026 }, sys: {dn: 0.0061 , up: 0.00549 }},\n",
      "8 : {stat: {dn: 0.000283 , up: 0.000283 }, sys: {dn: 0.00552 , up: 0.00537 }},\n",
      "9 : {stat: {dn: 0.000322 , up: 0.000322 }, sys: {dn: 0.00448 , up: 0.00474 }},\n",
      "10 : {stat: {dn: 0.000382 , up: 0.000382 }, sys: {dn: 0.00332 , up: 0.00439 }},\n",
      "11 : {stat: {dn: 0.000445 , up: 0.000445 }, sys: {dn: 0.00277 , up: 0.00428 }},\n",
      "12 : {stat: {dn: 0.000489 , up: 0.000489 }, sys: {dn: 0.00347 , up: 0.00551 }},\n",
      "13 : {stat: {dn: 0.000629 , up: 0.000629 }, sys: {dn: 0.000484 , up: 0.00449 }},\n",
      "0 : {stat: {dn: 0.00924 , up: 0.00924 }, sys: {dn: 0.0609 , up: 0.0557 }},\n",
      "1 : {stat: {dn: 0.00524 , up: 0.00524 }, sys: {dn: 0.0277 , up: 0.0253 }},\n",
      "2 : {stat: {dn: 0.00226 , up: 0.00226 }, sys: {dn: 0.018 , up: 0.0196 }},\n",
      "3 : {stat: {dn: 0.003 , up: 0.003 }, sys: {dn: 0.0174 , up: 0.0187 }},\n",
      "4 : {stat: {dn: 0.00186 , up: 0.00186 }, sys: {dn: 0.0186 , up: 0.0189 }},\n",
      "5 : {stat: {dn: 0.00158 , up: 0.00158 }, sys: {dn: 0.0191 , up: 0.0181 }},\n",
      "6 : {stat: {dn: 0.0012 , up: 0.0012 }, sys: {dn: 0.0235 , up: 0.0187 }},\n",
      "7 : {stat: {dn: 0.00123 , up: 0.00123 }, sys: {dn: 0.0214 , up: 0.0184 }},\n",
      "8 : {stat: {dn: 0.00118 , up: 0.00118 }, sys: {dn: 0.0206 , up: 0.0182 }},\n",
      "9 : {stat: {dn: 0.00114 , up: 0.00114 }, sys: {dn: 0.0187 , up: 0.0172 }},\n",
      "10 : {stat: {dn: 0.0011 , up: 0.0011 }, sys: {dn: 0.0173 , up: 0.016 }},\n",
      "11 : {stat: {dn: 0.00105 , up: 0.00105 }, sys: {dn: 0.0159 , up: 0.0146 }},\n",
      "12 : {stat: {dn: 0.00101 , up: 0.00101 }, sys: {dn: 0.0148 , up: 0.0131 }},\n",
      "13 : {stat: {dn: 0.000992 , up: 0.000992 }, sys: {dn: 0.014 , up: 0.012 }},\n",
      "14 : {stat: {dn: 0.00106 , up: 0.00106 }, sys: {dn: 0.013 , up: 0.011 }},\n",
      "15 : {stat: {dn: 0.00129 , up: 0.00129 }, sys: {dn: 0.0127 , up: 0.011 }},\n",
      "16 : {stat: {dn: 0.00258 , up: 0.00258 }, sys: {dn: 0.0116 , up: 0.0117 }},\n",
      "17 : {stat: {dn: 0.00263 , up: 0.00263 }, sys: {dn: 0.0101 , up: 0.0113 }},\n",
      "18 : {stat: {dn: 0.00222 , up: 0.00222 }, sys: {dn: 0.00939 , up: 0.00922 }},\n",
      "0 : {stat: {dn: 0.00855 , up: 0.00855 }, sys: {dn: 0.0403 , up: 0.0533 }},\n",
      "1 : {stat: {dn: 0.00329 , up: 0.00329 }, sys: {dn: 0.0185 , up: 0.0205 }},\n",
      "2 : {stat: {dn: 0.00219 , up: 0.00219 }, sys: {dn: 0.0181 , up: 0.0197 }},\n",
      "3 : {stat: {dn: 0.00235 , up: 0.00235 }, sys: {dn: 0.0334 , up: 0.0198 }},\n",
      "4 : {stat: {dn: 0.0019 , up: 0.0019 }, sys: {dn: 0.0202 , up: 0.0206 }},\n",
      "5 : {stat: {dn: 0.00161 , up: 0.00161 }, sys: {dn: 0.0208 , up: 0.0202 }},\n",
      "6 : {stat: {dn: 0.00127 , up: 0.00127 }, sys: {dn: 0.026 , up: 0.0211 }},\n",
      "7 : {stat: {dn: 0.00131 , up: 0.00131 }, sys: {dn: 0.0239 , up: 0.0208 }},\n",
      "8 : {stat: {dn: 0.00127 , up: 0.00127 }, sys: {dn: 0.0221 , up: 0.0205 }},\n",
      "9 : {stat: {dn: 0.00123 , up: 0.00123 }, sys: {dn: 0.0204 , up: 0.0196 }},\n",
      "10 : {stat: {dn: 0.0012 , up: 0.0012 }, sys: {dn: 0.0189 , up: 0.0182 }},\n",
      "11 : {stat: {dn: 0.00117 , up: 0.00117 }, sys: {dn: 0.0176 , up: 0.0166 }},\n",
      "12 : {stat: {dn: 0.00114 , up: 0.00114 }, sys: {dn: 0.017 , up: 0.0161 }},\n",
      "13 : {stat: {dn: 0.00115 , up: 0.00115 }, sys: {dn: 0.0163 , up: 0.0155 }},\n",
      "14 : {stat: {dn: 0.00125 , up: 0.00125 }, sys: {dn: 0.0144 , up: 0.0138 }},\n",
      "15 : {stat: {dn: 0.0015 , up: 0.0015 }, sys: {dn: 0.0133 , up: 0.0129 }},\n",
      "16 : {stat: {dn: 0.002 , up: 0.002 }, sys: {dn: 0.0136 , up: 0.0137 }},\n",
      "17 : {stat: {dn: 0.00332 , up: 0.00332 }, sys: {dn: 0.013 , up: 0.0152 }},\n",
      "18 : {stat: {dn: 0.00436 , up: 0.00436 }, sys: {dn: 0.0134 , up: 0.0129 }},\n",
      "0 : {stat: {dn: 0.00314 , up: 0.00314 }, sys: {dn: 0.0135 , up: 0.00981 }},\n",
      "1 : {stat: {dn: 0.00135 , up: 0.00135 }, sys: {dn: 0.00718 , up: 0.0151 }},\n",
      "2 : {stat: {dn: 0.000903 , up: 0.000903 }, sys: {dn: 0.00326 , up: 0.00844 }},\n",
      "3 : {stat: {dn: 0.000675 , up: 0.000675 }, sys: {dn: 0.00239 , up: 0.00604 }},\n",
      "4 : {stat: {dn: 0.000557 , up: 0.000557 }, sys: {dn: 0.00197 , up: 0.00404 }},\n",
      "5 : {stat: {dn: 0.000506 , up: 0.000506 }, sys: {dn: 0.00199 , up: 0.00324 }},\n",
      "6 : {stat: {dn: 0.00048 , up: 0.00048 }, sys: {dn: 0.00179 , up: 0.00242 }},\n",
      "7 : {stat: {dn: 0.000506 , up: 0.000506 }, sys: {dn: 0.00177 , up: 0.00203 }},\n",
      "8 : {stat: {dn: 0.000584 , up: 0.000584 }, sys: {dn: 0.00197 , up: 0.00198 }},\n",
      "9 : {stat: {dn: 0.000749 , up: 0.000749 }, sys: {dn: 0.00236 , up: 0.00217 }},\n",
      "10 : {stat: {dn: 0.00111 , up: 0.00111 }, sys: {dn: 0.00516 , up: 0.00395 }},\n",
      "11 : {stat: {dn: 0.00138 , up: 0.00138 }, sys: {dn: 0.0134 , up: 0.00755 }},\n",
      "0 : {stat: {dn: 0.00227 , up: 0.00227 }, sys: {dn: 0.00598 , up: 0.00561 }},\n",
      "1 : {stat: {dn: 0.00213 , up: 0.00213 }, sys: {dn: 0.0099 , up: 0.00989 }},\n",
      "2 : {stat: {dn: 0.00131 , up: 0.00131 }, sys: {dn: 0.00508 , up: 0.00851 }},\n",
      "3 : {stat: {dn: 0.000777 , up: 0.000777 }, sys: {dn: 0.00308 , up: 0.0116 }},\n",
      "4 : {stat: {dn: 0.000627 , up: 0.000627 }, sys: {dn: 0.0019 , up: 0.00693 }},\n",
      "5 : {stat: {dn: 0.000533 , up: 0.000533 }, sys: {dn: 0.00172 , up: 0.00459 }},\n",
      "6 : {stat: {dn: 0.000492 , up: 0.000492 }, sys: {dn: 0.00171 , up: 0.00364 }},\n",
      "7 : {stat: {dn: 0.000466 , up: 0.000466 }, sys: {dn: 0.00159 , up: 0.00282 }},\n",
      "8 : {stat: {dn: 0.000452 , up: 0.000452 }, sys: {dn: 0.00175 , up: 0.00239 }},\n",
      "9 : {stat: {dn: 0.000467 , up: 0.000467 }, sys: {dn: 0.00155 , up: 0.00182 }},\n",
      "10 : {stat: {dn: 0.000548 , up: 0.000548 }, sys: {dn: 0.00163 , up: 0.00167 }},\n",
      "11 : {stat: {dn: 0.000727 , up: 0.000727 }, sys: {dn: 0.00224 , up: 0.00213 }},\n",
      "12 : {stat: {dn: 0.00111 , up: 0.00111 }, sys: {dn: 0.00463 , up: 0.00356 }},\n",
      "13 : {stat: {dn: 0.0016 , up: 0.0016 }, sys: {dn: 0.0125 , up: 0.00718 }},\n",
      "0 : {stat: {dn: 0.00346 , up: 0.00346 }, sys: {dn: 0.0151 , up: 0.0167 }},\n",
      "1 : {stat: {dn: 0.00246 , up: 0.00246 }, sys: {dn: 0.015 , up: 0.0148 }},\n",
      "2 : {stat: {dn: 0.00145 , up: 0.00145 }, sys: {dn: 0.00799 , up: 0.0105 }},\n",
      "3 : {stat: {dn: 0.000794 , up: 0.000794 }, sys: {dn: 0.00406 , up: 0.00886 }},\n",
      "4 : {stat: {dn: 0.000593 , up: 0.000593 }, sys: {dn: 0.00328 , up: 0.00569 }},\n",
      "5 : {stat: {dn: 0.000474 , up: 0.000474 }, sys: {dn: 0.00479 , up: 0.00405 }},\n",
      "6 : {stat: {dn: 0.000392 , up: 0.000392 }, sys: {dn: 0.0052 , up: 0.00356 }},\n",
      "7 : {stat: {dn: 0.00035 , up: 0.00035 }, sys: {dn: 0.00607 , up: 0.00446 }},\n",
      "8 : {stat: {dn: 0.00033 , up: 0.00033 }, sys: {dn: 0.00645 , up: 0.00516 }},\n",
      "9 : {stat: {dn: 0.000339 , up: 0.000339 }, sys: {dn: 0.00685 , up: 0.00535 }},\n",
      "10 : {stat: {dn: 0.000365 , up: 0.000365 }, sys: {dn: 0.00718 , up: 0.00573 }},\n",
      "11 : {stat: {dn: 0.00042 , up: 0.00042 }, sys: {dn: 0.00685 , up: 0.00561 }},\n",
      "12 : {stat: {dn: 0.000514 , up: 0.000514 }, sys: {dn: 0.00638 , up: 0.00583 }},\n",
      "13 : {stat: {dn: 0.000609 , up: 0.000609 }, sys: {dn: 0.00574 , up: 0.00743 }},\n",
      "14 : {stat: {dn: 0.00074 , up: 0.00074 }, sys: {dn: 0.00608 , up: 0.00927 }},\n",
      "15 : {stat: {dn: 0.000753 , up: 0.000753 }, sys: {dn: 0.00588 , up: 0.0086 }},\n",
      "0 : {stat: {dn: 0.000552 , up: 0.000552 }, sys: {dn: 0.00388 , up: 0.00406 }},\n",
      "1 : {stat: {dn: 0.000403 , up: 0.000403 }, sys: {dn: 0.00442 , up: 0.00404 }},\n",
      "2 : {stat: {dn: 0.00036 , up: 0.00036 }, sys: {dn: 0.00513 , up: 0.00439 }},\n",
      "3 : {stat: {dn: 0.000333 , up: 0.000333 }, sys: {dn: 0.00565 , up: 0.00484 }},\n",
      "4 : {stat: {dn: 0.000309 , up: 0.000309 }, sys: {dn: 0.00552 , up: 0.00478 }},\n",
      "5 : {stat: {dn: 0.000296 , up: 0.000296 }, sys: {dn: 0.00556 , up: 0.00512 }},\n",
      "6 : {stat: {dn: 0.00029 , up: 0.00029 }, sys: {dn: 0.00537 , up: 0.00524 }},\n",
      "7 : {stat: {dn: 0.000301 , up: 0.000301 }, sys: {dn: 0.00539 , up: 0.00486 }},\n",
      "8 : {stat: {dn: 0.000335 , up: 0.000335 }, sys: {dn: 0.00563 , up: 0.00513 }},\n",
      "9 : {stat: {dn: 0.000398 , up: 0.000398 }, sys: {dn: 0.00554 , up: 0.005 }},\n",
      "10 : {stat: {dn: 0.000514 , up: 0.000514 }, sys: {dn: 0.00523 , up: 0.00504 }},\n",
      "11 : {stat: {dn: 0.000652 , up: 0.000652 }, sys: {dn: 0.00526 , up: 0.00686 }},\n",
      "12 : {stat: {dn: 0.000844 , up: 0.000844 }, sys: {dn: 0.00682 , up: 0.0106 }},\n",
      "13 : {stat: {dn: 0.00112 , up: 0.00112 }, sys: {dn: 0.00799 , up: 0.0111 }},\n"
     ]
    }
   ],
   "source": [
    "j= 0\n",
    "k = l = m = n = o = p = 0\n",
    "q = r = s = t = u = v = 0\n",
    "\n",
    "for i in range (0,224) :\n",
    "    if (j>2 and j<22) :\n",
    "        print(k, ': {stat: {dn:', dfn.ystat[i], ', up:', dfn.ystat[i], '}, sys: {dn:', dfn['ysys-'][i], ', up:', dfn['ysys+'][i], '}},')\n",
    "        k=k+1\n",
    "    if (j>24 and j<43) :\n",
    "        print(l,': {stat: {dn:', dfn.ystat[i], ', up:', dfn.ystat[i], '}, sys: {dn:', dfn['ysys-'][i], ', up:', dfn['ysys+'][i], '}},')\n",
    "        l=l+1\n",
    "    if (j>45 and j<59) :\n",
    "        print(m,': {stat: {dn:', dfn.ystat[i], ', up:', dfn.ystat[i], '}, sys: {dn:', dfn['ysys-'][i], ', up:', dfn['ysys+'][i], '}},')\n",
    "        m=m+1\n",
    "    if (j>61 and j<76) :\n",
    "        print(n,': {stat: {dn:', dfn.ystat[i], ', up:', dfn.ystat[i], '}, sys: {dn:', dfn['ysys-'][i], ', up:', dfn['ysys+'][i], '}},')\n",
    "        n=n+1\n",
    "    if (j>78 and j<95) :\n",
    "        print(o,': {stat: {dn:', dfn.ystat[i], ', up:', dfn.ystat[i], '}, sys: {dn:', dfn['ysys-'][i], ', up:', dfn['ysys+'][i], '}},')\n",
    "        o=o+1\n",
    "    if (j>97 and j<112) :\n",
    "        print(p,': {stat: {dn:', dfn.ystat[i], ', up:', dfn.ystat[i], '}, sys: {dn:', dfn['ysys-'][i], ', up:', dfn['ysys+'][i], '}},')\n",
    "        p=p+1\n",
    "        \n",
    "    if (j>114 and j<134) :\n",
    "        print(q, ': {stat: {dn:', dfn.ystat[i], ', up:', dfn.ystat[i], '}, sys: {dn:', dfn['ysys-'][i], ', up:', dfn['ysys+'][i], '}},')\n",
    "        q=q+1\n",
    "    if (j>136 and j<156) :\n",
    "        print(r,': {stat: {dn:', dfn.ystat[i], ', up:', dfn.ystat[i], '}, sys: {dn:', dfn['ysys-'][i], ', up:', dfn['ysys+'][i], '}},')\n",
    "        r=r+1\n",
    "    if (j>158 and j<171) :\n",
    "        print(s,': {stat: {dn:', dfn.ystat[i], ', up:', dfn.ystat[i], '}, sys: {dn:', dfn['ysys-'][i], ', up:', dfn['ysys+'][i], '}},')\n",
    "        s=s+1\n",
    "    if (j>173 and j<188) :\n",
    "        print(t,': {stat: {dn:', dfn.ystat[i], ', up:', dfn.ystat[i], '}, sys: {dn:', dfn['ysys-'][i], ', up:', dfn['ysys+'][i], '}},')\n",
    "        t=t+1\n",
    "    if (j>190 and j<207) :\n",
    "        print(u,': {stat: {dn:', dfn.ystat[i], ', up:', dfn.ystat[i], '}, sys: {dn:', dfn['ysys-'][i], ', up:', dfn['ysys+'][i], '}},')\n",
    "        u=u+1\n",
    "    if (j>209 and j<224) :\n",
    "        print(v,': {stat: {dn:', dfn.ystat[i], ', up:', dfn.ystat[i], '}, sys: {dn:', dfn['ysys-'][i], ', up:', dfn['ysys+'][i], '}},')\n",
    "        v=v+1\n",
    "        \n",
    "    j=j+1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0bd872fe",
   "metadata": {},
   "source": [
    "When converting to a YODA2 file, it is no longer necessary to compute these `xerr-` and `xerr+` errorbars. One needs to include a line with the bin edges for the x-axis instead, following the format: `Edges(A1): [0.000000e+00, 5.000000e-01, 1.000000e+00]` e.g. in case of a binned object with one axis that has two bins between 0 and 1. It is possible to mask bins if empty using `MaskedBins: [2]` e.g. in case of the bin N=2 being empty and the line is being replaced by `nan          \t---          \t---          \t---          \t---  ` in the .yoda file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "aa0b10c5",
   "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>x</th>\n",
       "      <th>xedgem</th>\n",
       "      <th>xedgep</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.420000e+00</td>\n",
       "      <td>1.259000e+00</td>\n",
       "      <td>1.585000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.200000e+00</td>\n",
       "      <td>1.995000e+00</td>\n",
       "      <td>2.399000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2.620000e+00</td>\n",
       "      <td>2.399000e+00</td>\n",
       "      <td>2.851000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>3.080000e+00</td>\n",
       "      <td>2.851000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>3.600000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>4.340000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>5.550000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>7.130000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>8.970000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "      <td>1.000000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>1.130000e+01</td>\n",
       "      <td>1.000000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1.420000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>1.790000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2.250000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2.840000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>3.570000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>4.500000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>5.660000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>7.130000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>8.970000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "      <td>1.000000e+02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1.420000e+00</td>\n",
       "      <td>1.259000e+00</td>\n",
       "      <td>1.585000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>2.200000e+00</td>\n",
       "      <td>1.995000e+00</td>\n",
       "      <td>2.399000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>2.620000e+00</td>\n",
       "      <td>2.399000e+00</td>\n",
       "      <td>2.851000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>3.080000e+00</td>\n",
       "      <td>2.851000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>3.600000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>4.340000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>5.550000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>7.130000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>8.970000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "      <td>1.000000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1.130000e+01</td>\n",
       "      <td>1.000000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1.420000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1.790000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>2.250000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>2.840000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>3.570000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>4.500000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>5.660000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>7.130000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>1.790000e+00</td>\n",
       "      <td>1.585000e+00</td>\n",
       "      <td>1.995000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>5.550000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>7.130000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>8.970000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "      <td>1.000000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>1.130000e+01</td>\n",
       "      <td>1.000000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>1.420000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>1.790000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>2.250000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>2.840000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>3.570000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>4.500000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>5.660000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>7.130000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>61</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>1.790000e+00</td>\n",
       "      <td>1.585000e+00</td>\n",
       "      <td>1.995000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>3.600000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64</th>\n",
       "      <td>4.340000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>65</th>\n",
       "      <td>5.550000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>7.130000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67</th>\n",
       "      <td>8.970000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "      <td>1.000000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>1.130000e+01</td>\n",
       "      <td>1.000000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>69</th>\n",
       "      <td>1.420000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>1.790000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>2.250000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>2.840000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>73</th>\n",
       "      <td>3.570000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74</th>\n",
       "      <td>4.500000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>5.660000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>77</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>2.200000e+00</td>\n",
       "      <td>1.995000e+00</td>\n",
       "      <td>2.399000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>3.080000e+00</td>\n",
       "      <td>2.851000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>3.600000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>4.340000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83</th>\n",
       "      <td>5.550000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>84</th>\n",
       "      <td>7.130000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85</th>\n",
       "      <td>8.970000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "      <td>1.000000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>86</th>\n",
       "      <td>1.130000e+01</td>\n",
       "      <td>1.000000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>87</th>\n",
       "      <td>1.420000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>88</th>\n",
       "      <td>1.790000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>89</th>\n",
       "      <td>2.250000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>90</th>\n",
       "      <td>2.840000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>91</th>\n",
       "      <td>3.570000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>4.500000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>93</th>\n",
       "      <td>5.660000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>7.130000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>4.340000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>5.550000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>100</th>\n",
       "      <td>7.130000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>101</th>\n",
       "      <td>8.970000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "      <td>1.000000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>102</th>\n",
       "      <td>1.130000e+01</td>\n",
       "      <td>1.000000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>103</th>\n",
       "      <td>1.420000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>104</th>\n",
       "      <td>1.790000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>105</th>\n",
       "      <td>2.250000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>106</th>\n",
       "      <td>2.840000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>107</th>\n",
       "      <td>3.570000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>108</th>\n",
       "      <td>4.500000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>109</th>\n",
       "      <td>5.660000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>110</th>\n",
       "      <td>7.130000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>111</th>\n",
       "      <td>8.970000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "      <td>1.000000e+02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>112</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>113</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>114</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>115</th>\n",
       "      <td>1.420000e+00</td>\n",
       "      <td>1.259000e+00</td>\n",
       "      <td>1.585000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>116</th>\n",
       "      <td>2.200000e+00</td>\n",
       "      <td>1.995000e+00</td>\n",
       "      <td>2.399000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>117</th>\n",
       "      <td>2.620000e+00</td>\n",
       "      <td>2.399000e+00</td>\n",
       "      <td>2.851000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118</th>\n",
       "      <td>3.080000e+00</td>\n",
       "      <td>2.851000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>119</th>\n",
       "      <td>3.600000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>120</th>\n",
       "      <td>4.340000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>121</th>\n",
       "      <td>5.550000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>7.130000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>123</th>\n",
       "      <td>8.970000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "      <td>1.000000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>1.130000e+01</td>\n",
       "      <td>1.000000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>1.420000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>126</th>\n",
       "      <td>1.790000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>127</th>\n",
       "      <td>2.250000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>128</th>\n",
       "      <td>2.840000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>129</th>\n",
       "      <td>3.570000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>130</th>\n",
       "      <td>4.500000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>131</th>\n",
       "      <td>5.660000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>132</th>\n",
       "      <td>7.130000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>133</th>\n",
       "      <td>8.970000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "      <td>1.000000e+02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>134</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>135</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>136</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>137</th>\n",
       "      <td>1.420000e+00</td>\n",
       "      <td>1.259000e+00</td>\n",
       "      <td>1.585000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>138</th>\n",
       "      <td>2.200000e+00</td>\n",
       "      <td>1.995000e+00</td>\n",
       "      <td>2.399000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>139</th>\n",
       "      <td>2.620000e+00</td>\n",
       "      <td>2.399000e+00</td>\n",
       "      <td>2.851000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>140</th>\n",
       "      <td>3.080000e+00</td>\n",
       "      <td>2.851000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>141</th>\n",
       "      <td>3.600000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>142</th>\n",
       "      <td>4.340000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>143</th>\n",
       "      <td>5.550000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>144</th>\n",
       "      <td>7.130000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>8.970000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "      <td>1.000000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>1.130000e+01</td>\n",
       "      <td>1.000000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>1.420000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>1.790000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>2.250000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>150</th>\n",
       "      <td>2.840000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>151</th>\n",
       "      <td>3.570000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>152</th>\n",
       "      <td>4.500000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>153</th>\n",
       "      <td>5.660000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>154</th>\n",
       "      <td>7.130000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>155</th>\n",
       "      <td>8.970000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "      <td>1.000000e+02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>156</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>157</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>158</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>159</th>\n",
       "      <td>1.790000e+00</td>\n",
       "      <td>1.585000e+00</td>\n",
       "      <td>1.995000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>160</th>\n",
       "      <td>5.550000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>161</th>\n",
       "      <td>7.130000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>162</th>\n",
       "      <td>8.970000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "      <td>1.000000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>163</th>\n",
       "      <td>1.130000e+01</td>\n",
       "      <td>1.000000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>164</th>\n",
       "      <td>1.420000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>165</th>\n",
       "      <td>1.790000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>166</th>\n",
       "      <td>2.250000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>167</th>\n",
       "      <td>2.840000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>168</th>\n",
       "      <td>3.570000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>169</th>\n",
       "      <td>4.500000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>170</th>\n",
       "      <td>5.660000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>171</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>172</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>173</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>174</th>\n",
       "      <td>1.790000e+00</td>\n",
       "      <td>1.585000e+00</td>\n",
       "      <td>1.995000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>175</th>\n",
       "      <td>3.600000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>176</th>\n",
       "      <td>4.340000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>177</th>\n",
       "      <td>5.550000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>178</th>\n",
       "      <td>7.130000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>179</th>\n",
       "      <td>8.970000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "      <td>1.000000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>180</th>\n",
       "      <td>1.130000e+01</td>\n",
       "      <td>1.000000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>181</th>\n",
       "      <td>1.420000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>182</th>\n",
       "      <td>1.790000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>183</th>\n",
       "      <td>2.250000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>184</th>\n",
       "      <td>2.840000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>185</th>\n",
       "      <td>3.570000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>186</th>\n",
       "      <td>4.500000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>187</th>\n",
       "      <td>5.660000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>188</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>189</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>190</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>191</th>\n",
       "      <td>3.080000e+00</td>\n",
       "      <td>2.851000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192</th>\n",
       "      <td>3.600000e+00</td>\n",
       "      <td>3.311000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>193</th>\n",
       "      <td>4.340000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>194</th>\n",
       "      <td>5.550000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>7.130000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>8.970000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "      <td>1.000000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>197</th>\n",
       "      <td>1.130000e+01</td>\n",
       "      <td>1.000000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>1.420000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>1.790000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <td>2.250000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>201</th>\n",
       "      <td>2.840000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>202</th>\n",
       "      <td>3.570000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>203</th>\n",
       "      <td>4.500000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>204</th>\n",
       "      <td>5.660000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>205</th>\n",
       "      <td>7.130000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>206</th>\n",
       "      <td>8.970000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "      <td>1.000000e+02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>207</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>208</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>209</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>210</th>\n",
       "      <td>4.340000e+00</td>\n",
       "      <td>3.890000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>211</th>\n",
       "      <td>5.550000e+00</td>\n",
       "      <td>4.786000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>212</th>\n",
       "      <td>7.130000e+00</td>\n",
       "      <td>6.310000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>213</th>\n",
       "      <td>8.970000e+00</td>\n",
       "      <td>7.943000e+00</td>\n",
       "      <td>1.000000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>214</th>\n",
       "      <td>1.130000e+01</td>\n",
       "      <td>1.000000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>215</th>\n",
       "      <td>1.420000e+01</td>\n",
       "      <td>1.259000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>216</th>\n",
       "      <td>1.790000e+01</td>\n",
       "      <td>1.585000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>217</th>\n",
       "      <td>2.250000e+01</td>\n",
       "      <td>1.995000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>218</th>\n",
       "      <td>2.840000e+01</td>\n",
       "      <td>2.512000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>219</th>\n",
       "      <td>3.570000e+01</td>\n",
       "      <td>3.162000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>220</th>\n",
       "      <td>4.500000e+01</td>\n",
       "      <td>3.981000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>221</th>\n",
       "      <td>5.660000e+01</td>\n",
       "      <td>5.012000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>222</th>\n",
       "      <td>7.130000e+01</td>\n",
       "      <td>6.310000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>223</th>\n",
       "      <td>8.970000e+01</td>\n",
       "      <td>7.943000e+01</td>\n",
       "      <td>1.000000e+02</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               x       xedgem       xedgep\n",
       "0            NaN 0.000000e+00 0.000000e+00\n",
       "1            NaN 0.000000e+00 0.000000e+00\n",
       "2            NaN 0.000000e+00 0.000000e+00\n",
       "3   1.420000e+00 1.259000e+00 1.585000e+00\n",
       "4   2.200000e+00 1.995000e+00 2.399000e+00\n",
       "5   2.620000e+00 2.399000e+00 2.851000e+00\n",
       "6   3.080000e+00 2.851000e+00 3.311000e+00\n",
       "7   3.600000e+00 3.311000e+00 3.890000e+00\n",
       "8   4.340000e+00 3.890000e+00 4.786000e+00\n",
       "9   5.550000e+00 4.786000e+00 6.310000e+00\n",
       "10  7.130000e+00 6.310000e+00 7.943000e+00\n",
       "11  8.970000e+00 7.943000e+00 1.000000e+01\n",
       "12  1.130000e+01 1.000000e+01 1.259000e+01\n",
       "13  1.420000e+01 1.259000e+01 1.585000e+01\n",
       "14  1.790000e+01 1.585000e+01 1.995000e+01\n",
       "15  2.250000e+01 1.995000e+01 2.512000e+01\n",
       "16  2.840000e+01 2.512000e+01 3.162000e+01\n",
       "17  3.570000e+01 3.162000e+01 3.981000e+01\n",
       "18  4.500000e+01 3.981000e+01 5.012000e+01\n",
       "19  5.660000e+01 5.012000e+01 6.310000e+01\n",
       "20  7.130000e+01 6.310000e+01 7.943000e+01\n",
       "21  8.970000e+01 7.943000e+01 1.000000e+02\n",
       "22           NaN 0.000000e+00 0.000000e+00\n",
       "23           NaN 0.000000e+00 0.000000e+00\n",
       "24           NaN 0.000000e+00 0.000000e+00\n",
       "25  1.420000e+00 1.259000e+00 1.585000e+00\n",
       "26  2.200000e+00 1.995000e+00 2.399000e+00\n",
       "27  2.620000e+00 2.399000e+00 2.851000e+00\n",
       "28  3.080000e+00 2.851000e+00 3.311000e+00\n",
       "29  3.600000e+00 3.311000e+00 3.890000e+00\n",
       "30  4.340000e+00 3.890000e+00 4.786000e+00\n",
       "31  5.550000e+00 4.786000e+00 6.310000e+00\n",
       "32  7.130000e+00 6.310000e+00 7.943000e+00\n",
       "33  8.970000e+00 7.943000e+00 1.000000e+01\n",
       "34  1.130000e+01 1.000000e+01 1.259000e+01\n",
       "35  1.420000e+01 1.259000e+01 1.585000e+01\n",
       "36  1.790000e+01 1.585000e+01 1.995000e+01\n",
       "37  2.250000e+01 1.995000e+01 2.512000e+01\n",
       "38  2.840000e+01 2.512000e+01 3.162000e+01\n",
       "39  3.570000e+01 3.162000e+01 3.981000e+01\n",
       "40  4.500000e+01 3.981000e+01 5.012000e+01\n",
       "41  5.660000e+01 5.012000e+01 6.310000e+01\n",
       "42  7.130000e+01 6.310000e+01 7.943000e+01\n",
       "43           NaN 0.000000e+00 0.000000e+00\n",
       "44           NaN 0.000000e+00 0.000000e+00\n",
       "45           NaN 0.000000e+00 0.000000e+00\n",
       "46  1.790000e+00 1.585000e+00 1.995000e+00\n",
       "47  5.550000e+00 4.786000e+00 6.310000e+00\n",
       "48  7.130000e+00 6.310000e+00 7.943000e+00\n",
       "49  8.970000e+00 7.943000e+00 1.000000e+01\n",
       "50  1.130000e+01 1.000000e+01 1.259000e+01\n",
       "51  1.420000e+01 1.259000e+01 1.585000e+01\n",
       "52  1.790000e+01 1.585000e+01 1.995000e+01\n",
       "53  2.250000e+01 1.995000e+01 2.512000e+01\n",
       "54  2.840000e+01 2.512000e+01 3.162000e+01\n",
       "55  3.570000e+01 3.162000e+01 3.981000e+01\n",
       "56  4.500000e+01 3.981000e+01 5.012000e+01\n",
       "57  5.660000e+01 5.012000e+01 6.310000e+01\n",
       "58  7.130000e+01 6.310000e+01 7.943000e+01\n",
       "59           NaN 0.000000e+00 0.000000e+00\n",
       "60           NaN 0.000000e+00 0.000000e+00\n",
       "61           NaN 0.000000e+00 0.000000e+00\n",
       "62  1.790000e+00 1.585000e+00 1.995000e+00\n",
       "63  3.600000e+00 3.311000e+00 3.890000e+00\n",
       "64  4.340000e+00 3.890000e+00 4.786000e+00\n",
       "65  5.550000e+00 4.786000e+00 6.310000e+00\n",
       "66  7.130000e+00 6.310000e+00 7.943000e+00\n",
       "67  8.970000e+00 7.943000e+00 1.000000e+01\n",
       "68  1.130000e+01 1.000000e+01 1.259000e+01\n",
       "69  1.420000e+01 1.259000e+01 1.585000e+01\n",
       "70  1.790000e+01 1.585000e+01 1.995000e+01\n",
       "71  2.250000e+01 1.995000e+01 2.512000e+01\n",
       "72  2.840000e+01 2.512000e+01 3.162000e+01\n",
       "73  3.570000e+01 3.162000e+01 3.981000e+01\n",
       "74  4.500000e+01 3.981000e+01 5.012000e+01\n",
       "75  5.660000e+01 5.012000e+01 6.310000e+01\n",
       "76           NaN 0.000000e+00 0.000000e+00\n",
       "77           NaN 0.000000e+00 0.000000e+00\n",
       "78           NaN 0.000000e+00 0.000000e+00\n",
       "79  2.200000e+00 1.995000e+00 2.399000e+00\n",
       "80  3.080000e+00 2.851000e+00 3.311000e+00\n",
       "81  3.600000e+00 3.311000e+00 3.890000e+00\n",
       "82  4.340000e+00 3.890000e+00 4.786000e+00\n",
       "83  5.550000e+00 4.786000e+00 6.310000e+00\n",
       "84  7.130000e+00 6.310000e+00 7.943000e+00\n",
       "85  8.970000e+00 7.943000e+00 1.000000e+01\n",
       "86  1.130000e+01 1.000000e+01 1.259000e+01\n",
       "87  1.420000e+01 1.259000e+01 1.585000e+01\n",
       "88  1.790000e+01 1.585000e+01 1.995000e+01\n",
       "89  2.250000e+01 1.995000e+01 2.512000e+01\n",
       "90  2.840000e+01 2.512000e+01 3.162000e+01\n",
       "91  3.570000e+01 3.162000e+01 3.981000e+01\n",
       "92  4.500000e+01 3.981000e+01 5.012000e+01\n",
       "93  5.660000e+01 5.012000e+01 6.310000e+01\n",
       "94  7.130000e+01 6.310000e+01 7.943000e+01\n",
       "95           NaN 0.000000e+00 0.000000e+00\n",
       "96           NaN 0.000000e+00 0.000000e+00\n",
       "97           NaN 0.000000e+00 0.000000e+00\n",
       "98  4.340000e+00 3.890000e+00 4.786000e+00\n",
       "99  5.550000e+00 4.786000e+00 6.310000e+00\n",
       "100 7.130000e+00 6.310000e+00 7.943000e+00\n",
       "101 8.970000e+00 7.943000e+00 1.000000e+01\n",
       "102 1.130000e+01 1.000000e+01 1.259000e+01\n",
       "103 1.420000e+01 1.259000e+01 1.585000e+01\n",
       "104 1.790000e+01 1.585000e+01 1.995000e+01\n",
       "105 2.250000e+01 1.995000e+01 2.512000e+01\n",
       "106 2.840000e+01 2.512000e+01 3.162000e+01\n",
       "107 3.570000e+01 3.162000e+01 3.981000e+01\n",
       "108 4.500000e+01 3.981000e+01 5.012000e+01\n",
       "109 5.660000e+01 5.012000e+01 6.310000e+01\n",
       "110 7.130000e+01 6.310000e+01 7.943000e+01\n",
       "111 8.970000e+01 7.943000e+01 1.000000e+02\n",
       "112          NaN 0.000000e+00 0.000000e+00\n",
       "113          NaN 0.000000e+00 0.000000e+00\n",
       "114          NaN 0.000000e+00 0.000000e+00\n",
       "115 1.420000e+00 1.259000e+00 1.585000e+00\n",
       "116 2.200000e+00 1.995000e+00 2.399000e+00\n",
       "117 2.620000e+00 2.399000e+00 2.851000e+00\n",
       "118 3.080000e+00 2.851000e+00 3.311000e+00\n",
       "119 3.600000e+00 3.311000e+00 3.890000e+00\n",
       "120 4.340000e+00 3.890000e+00 4.786000e+00\n",
       "121 5.550000e+00 4.786000e+00 6.310000e+00\n",
       "122 7.130000e+00 6.310000e+00 7.943000e+00\n",
       "123 8.970000e+00 7.943000e+00 1.000000e+01\n",
       "124 1.130000e+01 1.000000e+01 1.259000e+01\n",
       "125 1.420000e+01 1.259000e+01 1.585000e+01\n",
       "126 1.790000e+01 1.585000e+01 1.995000e+01\n",
       "127 2.250000e+01 1.995000e+01 2.512000e+01\n",
       "128 2.840000e+01 2.512000e+01 3.162000e+01\n",
       "129 3.570000e+01 3.162000e+01 3.981000e+01\n",
       "130 4.500000e+01 3.981000e+01 5.012000e+01\n",
       "131 5.660000e+01 5.012000e+01 6.310000e+01\n",
       "132 7.130000e+01 6.310000e+01 7.943000e+01\n",
       "133 8.970000e+01 7.943000e+01 1.000000e+02\n",
       "134          NaN 0.000000e+00 0.000000e+00\n",
       "135          NaN 0.000000e+00 0.000000e+00\n",
       "136          NaN 0.000000e+00 0.000000e+00\n",
       "137 1.420000e+00 1.259000e+00 1.585000e+00\n",
       "138 2.200000e+00 1.995000e+00 2.399000e+00\n",
       "139 2.620000e+00 2.399000e+00 2.851000e+00\n",
       "140 3.080000e+00 2.851000e+00 3.311000e+00\n",
       "141 3.600000e+00 3.311000e+00 3.890000e+00\n",
       "142 4.340000e+00 3.890000e+00 4.786000e+00\n",
       "143 5.550000e+00 4.786000e+00 6.310000e+00\n",
       "144 7.130000e+00 6.310000e+00 7.943000e+00\n",
       "145 8.970000e+00 7.943000e+00 1.000000e+01\n",
       "146 1.130000e+01 1.000000e+01 1.259000e+01\n",
       "147 1.420000e+01 1.259000e+01 1.585000e+01\n",
       "148 1.790000e+01 1.585000e+01 1.995000e+01\n",
       "149 2.250000e+01 1.995000e+01 2.512000e+01\n",
       "150 2.840000e+01 2.512000e+01 3.162000e+01\n",
       "151 3.570000e+01 3.162000e+01 3.981000e+01\n",
       "152 4.500000e+01 3.981000e+01 5.012000e+01\n",
       "153 5.660000e+01 5.012000e+01 6.310000e+01\n",
       "154 7.130000e+01 6.310000e+01 7.943000e+01\n",
       "155 8.970000e+01 7.943000e+01 1.000000e+02\n",
       "156          NaN 0.000000e+00 0.000000e+00\n",
       "157          NaN 0.000000e+00 0.000000e+00\n",
       "158          NaN 0.000000e+00 0.000000e+00\n",
       "159 1.790000e+00 1.585000e+00 1.995000e+00\n",
       "160 5.550000e+00 4.786000e+00 6.310000e+00\n",
       "161 7.130000e+00 6.310000e+00 7.943000e+00\n",
       "162 8.970000e+00 7.943000e+00 1.000000e+01\n",
       "163 1.130000e+01 1.000000e+01 1.259000e+01\n",
       "164 1.420000e+01 1.259000e+01 1.585000e+01\n",
       "165 1.790000e+01 1.585000e+01 1.995000e+01\n",
       "166 2.250000e+01 1.995000e+01 2.512000e+01\n",
       "167 2.840000e+01 2.512000e+01 3.162000e+01\n",
       "168 3.570000e+01 3.162000e+01 3.981000e+01\n",
       "169 4.500000e+01 3.981000e+01 5.012000e+01\n",
       "170 5.660000e+01 5.012000e+01 6.310000e+01\n",
       "171          NaN 0.000000e+00 0.000000e+00\n",
       "172          NaN 0.000000e+00 0.000000e+00\n",
       "173          NaN 0.000000e+00 0.000000e+00\n",
       "174 1.790000e+00 1.585000e+00 1.995000e+00\n",
       "175 3.600000e+00 3.311000e+00 3.890000e+00\n",
       "176 4.340000e+00 3.890000e+00 4.786000e+00\n",
       "177 5.550000e+00 4.786000e+00 6.310000e+00\n",
       "178 7.130000e+00 6.310000e+00 7.943000e+00\n",
       "179 8.970000e+00 7.943000e+00 1.000000e+01\n",
       "180 1.130000e+01 1.000000e+01 1.259000e+01\n",
       "181 1.420000e+01 1.259000e+01 1.585000e+01\n",
       "182 1.790000e+01 1.585000e+01 1.995000e+01\n",
       "183 2.250000e+01 1.995000e+01 2.512000e+01\n",
       "184 2.840000e+01 2.512000e+01 3.162000e+01\n",
       "185 3.570000e+01 3.162000e+01 3.981000e+01\n",
       "186 4.500000e+01 3.981000e+01 5.012000e+01\n",
       "187 5.660000e+01 5.012000e+01 6.310000e+01\n",
       "188          NaN 0.000000e+00 0.000000e+00\n",
       "189          NaN 0.000000e+00 0.000000e+00\n",
       "190          NaN 0.000000e+00 0.000000e+00\n",
       "191 3.080000e+00 2.851000e+00 3.311000e+00\n",
       "192 3.600000e+00 3.311000e+00 3.890000e+00\n",
       "193 4.340000e+00 3.890000e+00 4.786000e+00\n",
       "194 5.550000e+00 4.786000e+00 6.310000e+00\n",
       "195 7.130000e+00 6.310000e+00 7.943000e+00\n",
       "196 8.970000e+00 7.943000e+00 1.000000e+01\n",
       "197 1.130000e+01 1.000000e+01 1.259000e+01\n",
       "198 1.420000e+01 1.259000e+01 1.585000e+01\n",
       "199 1.790000e+01 1.585000e+01 1.995000e+01\n",
       "200 2.250000e+01 1.995000e+01 2.512000e+01\n",
       "201 2.840000e+01 2.512000e+01 3.162000e+01\n",
       "202 3.570000e+01 3.162000e+01 3.981000e+01\n",
       "203 4.500000e+01 3.981000e+01 5.012000e+01\n",
       "204 5.660000e+01 5.012000e+01 6.310000e+01\n",
       "205 7.130000e+01 6.310000e+01 7.943000e+01\n",
       "206 8.970000e+01 7.943000e+01 1.000000e+02\n",
       "207          NaN 0.000000e+00 0.000000e+00\n",
       "208          NaN 0.000000e+00 0.000000e+00\n",
       "209          NaN 0.000000e+00 0.000000e+00\n",
       "210 4.340000e+00 3.890000e+00 4.786000e+00\n",
       "211 5.550000e+00 4.786000e+00 6.310000e+00\n",
       "212 7.130000e+00 6.310000e+00 7.943000e+00\n",
       "213 8.970000e+00 7.943000e+00 1.000000e+01\n",
       "214 1.130000e+01 1.000000e+01 1.259000e+01\n",
       "215 1.420000e+01 1.259000e+01 1.585000e+01\n",
       "216 1.790000e+01 1.585000e+01 1.995000e+01\n",
       "217 2.250000e+01 1.995000e+01 2.512000e+01\n",
       "218 2.840000e+01 2.512000e+01 3.162000e+01\n",
       "219 3.570000e+01 3.162000e+01 3.981000e+01\n",
       "220 4.500000e+01 3.981000e+01 5.012000e+01\n",
       "221 5.660000e+01 5.012000e+01 6.310000e+01\n",
       "222 7.130000e+01 6.310000e+01 7.943000e+01\n",
       "223 8.970000e+01 7.943000e+01 1.000000e+02"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dfd = dfn\n",
    "dfd = dfd.drop(['yerrm', 'yerrp'], axis=1)\n",
    "dfd.insert(1, 'xedgem', 0.000000e+00)\n",
    "dfd.insert(2, 'xedgep', 0.000000e+00)\n",
    "\n",
    "xbin = [0.1, 0.1318, 0.1622, 0.1995, 0.2512, 0.3162, 0.3890, 0.4786, 0.6026, 0.7586, 0.9550, 1.259, 1.585, 1.995, 2.399, 2.851, 3.311, 3.890, 4.786, 6.310, 7.943, 10., 12.59, 15.85, 19.95, 25.12, 31.62, 39.81, 50.12, 63.10, 79.43, 100., 125.9, 158.5, 199.5, 251.2, 316.2]\n",
    "\n",
    "for i in range (0, len(dfd)) :\n",
    "    for j in range (0, len(xbin)-1):\n",
    "        if (dfd.x.loc[i]>xbin[j] and dfd.x.loc[i]<xbin[j+1] and xbin[j]<xbin[j+1] ):\n",
    "            dfd.xedgem.loc[i] = xbin[j]\n",
    "            dfd.xedgep.loc[i] = xbin[j+1]\n",
    "\n",
    "dfd = dfd.drop(['ystat', 'y', 'ysys-', 'ysys+'], axis=1)\n",
    "dfd"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe010e92",
   "metadata": {},
   "source": [
    "In addition, one will include a line with the error source labels: `ErrorLabels: [\"stat\", \"sys\"]`. There is no longer a need to compute shared error values for statistic and systematic errors since they can be individually displayed. The lower part of errors need to have their negative sign `-` as part of the value, and the statistic errors for both positive and negative part need to be displayed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "55a3ca48",
   "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>y</th>\n",
       "      <th>ystat-</th>\n",
       "      <th>ystat</th>\n",
       "      <th>ysys-</th>\n",
       "      <th>ysys+</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.580000e+02</td>\n",
       "      <td>1.580000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>7.820000e-01</td>\n",
       "      <td>-9.480000e-03</td>\n",
       "      <td>9.480000e-03</td>\n",
       "      <td>-4.490000e-02</td>\n",
       "      <td>3.260000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.780000e-01</td>\n",
       "      <td>-5.400000e-03</td>\n",
       "      <td>5.400000e-03</td>\n",
       "      <td>-2.510000e-02</td>\n",
       "      <td>2.210000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>8.100000e-01</td>\n",
       "      <td>-2.290000e-03</td>\n",
       "      <td>2.290000e-03</td>\n",
       "      <td>-2.130000e-02</td>\n",
       "      <td>1.880000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>8.030000e-01</td>\n",
       "      <td>-5.330000e-03</td>\n",
       "      <td>5.330000e-03</td>\n",
       "      <td>-1.940000e-02</td>\n",
       "      <td>1.520000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7.900000e-01</td>\n",
       "      <td>-1.810000e-03</td>\n",
       "      <td>1.810000e-03</td>\n",
       "      <td>-2.240000e-02</td>\n",
       "      <td>1.690000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>7.820000e-01</td>\n",
       "      <td>-1.540000e-03</td>\n",
       "      <td>1.540000e-03</td>\n",
       "      <td>-2.300000e-02</td>\n",
       "      <td>1.620000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>7.650000e-01</td>\n",
       "      <td>-1.140000e-03</td>\n",
       "      <td>1.140000e-03</td>\n",
       "      <td>-2.540000e-02</td>\n",
       "      <td>1.700000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>7.270000e-01</td>\n",
       "      <td>-1.150000e-03</td>\n",
       "      <td>1.150000e-03</td>\n",
       "      <td>-1.990000e-02</td>\n",
       "      <td>1.670000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>6.840000e-01</td>\n",
       "      <td>-1.090000e-03</td>\n",
       "      <td>1.090000e-03</td>\n",
       "      <td>-1.600000e-02</td>\n",
       "      <td>1.510000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>6.300000e-01</td>\n",
       "      <td>-1.020000e-03</td>\n",
       "      <td>1.020000e-03</td>\n",
       "      <td>-1.240000e-02</td>\n",
       "      <td>1.290000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>5.700000e-01</td>\n",
       "      <td>-9.600000e-04</td>\n",
       "      <td>9.600000e-04</td>\n",
       "      <td>-1.000000e-02</td>\n",
       "      <td>1.060000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>5.040000e-01</td>\n",
       "      <td>-8.950000e-04</td>\n",
       "      <td>8.950000e-04</td>\n",
       "      <td>-8.470000e-03</td>\n",
       "      <td>8.750000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>4.290000e-01</td>\n",
       "      <td>-8.220000e-04</td>\n",
       "      <td>8.220000e-04</td>\n",
       "      <td>-7.060000e-03</td>\n",
       "      <td>7.150000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>3.520000e-01</td>\n",
       "      <td>-7.530000e-04</td>\n",
       "      <td>7.530000e-04</td>\n",
       "      <td>-6.070000e-03</td>\n",
       "      <td>5.930000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2.780000e-01</td>\n",
       "      <td>-7.500000e-04</td>\n",
       "      <td>7.500000e-04</td>\n",
       "      <td>-7.120000e-03</td>\n",
       "      <td>7.040000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2.100000e-01</td>\n",
       "      <td>-9.510000e-04</td>\n",
       "      <td>9.510000e-04</td>\n",
       "      <td>-1.060000e-02</td>\n",
       "      <td>5.750000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>1.440000e-01</td>\n",
       "      <td>-9.330000e-04</td>\n",
       "      <td>9.330000e-04</td>\n",
       "      <td>-4.030000e-03</td>\n",
       "      <td>4.530000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>9.110000e-02</td>\n",
       "      <td>-6.870000e-04</td>\n",
       "      <td>6.870000e-04</td>\n",
       "      <td>-3.280000e-03</td>\n",
       "      <td>3.690000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>5.190000e-02</td>\n",
       "      <td>-8.160000e-04</td>\n",
       "      <td>8.160000e-04</td>\n",
       "      <td>-1.720000e-03</td>\n",
       "      <td>1.900000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.580000e+02</td>\n",
       "      <td>1.580000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>8.330000e-01</td>\n",
       "      <td>-1.000000e-02</td>\n",
       "      <td>1.000000e-02</td>\n",
       "      <td>-5.200000e-02</td>\n",
       "      <td>2.610000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>8.820000e-01</td>\n",
       "      <td>-4.050000e-03</td>\n",
       "      <td>4.050000e-03</td>\n",
       "      <td>-2.650000e-02</td>\n",
       "      <td>2.310000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>9.080000e-01</td>\n",
       "      <td>-2.270000e-03</td>\n",
       "      <td>2.270000e-03</td>\n",
       "      <td>-2.190000e-02</td>\n",
       "      <td>1.890000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>9.110000e-01</td>\n",
       "      <td>-2.250000e-03</td>\n",
       "      <td>2.250000e-03</td>\n",
       "      <td>-2.080000e-02</td>\n",
       "      <td>1.800000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>9.200000e-01</td>\n",
       "      <td>-1.900000e-03</td>\n",
       "      <td>1.900000e-03</td>\n",
       "      <td>-2.240000e-02</td>\n",
       "      <td>1.780000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>9.220000e-01</td>\n",
       "      <td>-1.600000e-03</td>\n",
       "      <td>1.600000e-03</td>\n",
       "      <td>-2.380000e-02</td>\n",
       "      <td>1.900000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>9.240000e-01</td>\n",
       "      <td>-1.270000e-03</td>\n",
       "      <td>1.270000e-03</td>\n",
       "      <td>-2.750000e-02</td>\n",
       "      <td>1.930000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>9.010000e-01</td>\n",
       "      <td>-1.290000e-03</td>\n",
       "      <td>1.290000e-03</td>\n",
       "      <td>-2.210000e-02</td>\n",
       "      <td>1.880000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>8.730000e-01</td>\n",
       "      <td>-1.240000e-03</td>\n",
       "      <td>1.240000e-03</td>\n",
       "      <td>-1.770000e-02</td>\n",
       "      <td>1.710000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>8.320000e-01</td>\n",
       "      <td>-1.180000e-03</td>\n",
       "      <td>1.180000e-03</td>\n",
       "      <td>-1.430000e-02</td>\n",
       "      <td>1.440000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>7.810000e-01</td>\n",
       "      <td>-1.130000e-03</td>\n",
       "      <td>1.130000e-03</td>\n",
       "      <td>-1.240000e-02</td>\n",
       "      <td>1.260000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>7.220000e-01</td>\n",
       "      <td>-1.070000e-03</td>\n",
       "      <td>1.070000e-03</td>\n",
       "      <td>-1.210000e-02</td>\n",
       "      <td>1.100000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>6.510000e-01</td>\n",
       "      <td>-1.020000e-03</td>\n",
       "      <td>1.020000e-03</td>\n",
       "      <td>-9.890000e-03</td>\n",
       "      <td>9.850000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>5.740000e-01</td>\n",
       "      <td>-9.900000e-04</td>\n",
       "      <td>9.900000e-04</td>\n",
       "      <td>-8.680000e-03</td>\n",
       "      <td>8.570000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>4.910000e-01</td>\n",
       "      <td>-1.010000e-03</td>\n",
       "      <td>1.010000e-03</td>\n",
       "      <td>-7.600000e-03</td>\n",
       "      <td>7.460000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>4.070000e-01</td>\n",
       "      <td>-1.120000e-03</td>\n",
       "      <td>1.120000e-03</td>\n",
       "      <td>-2.090000e-02</td>\n",
       "      <td>7.650000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>3.300000e-01</td>\n",
       "      <td>-1.350000e-03</td>\n",
       "      <td>1.350000e-03</td>\n",
       "      <td>-7.300000e-03</td>\n",
       "      <td>7.060000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>2.680000e-01</td>\n",
       "      <td>-1.410000e-03</td>\n",
       "      <td>1.410000e-03</td>\n",
       "      <td>-8.560000e-03</td>\n",
       "      <td>9.040000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.580000e+02</td>\n",
       "      <td>1.580000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>5.880000e-02</td>\n",
       "      <td>-3.240000e-03</td>\n",
       "      <td>3.240000e-03</td>\n",
       "      <td>-1.030000e-02</td>\n",
       "      <td>1.010000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>8.610000e-02</td>\n",
       "      <td>-1.270000e-03</td>\n",
       "      <td>1.270000e-03</td>\n",
       "      <td>-6.560000e-03</td>\n",
       "      <td>1.420000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>8.580000e-02</td>\n",
       "      <td>-8.330000e-04</td>\n",
       "      <td>8.330000e-04</td>\n",
       "      <td>-2.880000e-03</td>\n",
       "      <td>7.300000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>8.680000e-02</td>\n",
       "      <td>-6.190000e-04</td>\n",
       "      <td>6.190000e-04</td>\n",
       "      <td>-1.880000e-03</td>\n",
       "      <td>4.250000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>8.560000e-02</td>\n",
       "      <td>-5.010000e-04</td>\n",
       "      <td>5.010000e-04</td>\n",
       "      <td>-1.670000e-03</td>\n",
       "      <td>2.390000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>8.030000e-02</td>\n",
       "      <td>-4.440000e-04</td>\n",
       "      <td>4.440000e-04</td>\n",
       "      <td>-1.470000e-03</td>\n",
       "      <td>1.820000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>7.330000e-02</td>\n",
       "      <td>-4.170000e-04</td>\n",
       "      <td>4.170000e-04</td>\n",
       "      <td>-1.510000e-03</td>\n",
       "      <td>1.620000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>6.580000e-02</td>\n",
       "      <td>-4.200000e-04</td>\n",
       "      <td>4.200000e-04</td>\n",
       "      <td>-1.370000e-03</td>\n",
       "      <td>1.350000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>5.500000e-02</td>\n",
       "      <td>-4.630000e-04</td>\n",
       "      <td>4.630000e-04</td>\n",
       "      <td>-1.380000e-03</td>\n",
       "      <td>1.390000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>4.670000e-02</td>\n",
       "      <td>-5.730000e-04</td>\n",
       "      <td>5.730000e-04</td>\n",
       "      <td>-1.860000e-03</td>\n",
       "      <td>1.680000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>3.690000e-02</td>\n",
       "      <td>-7.410000e-04</td>\n",
       "      <td>7.410000e-04</td>\n",
       "      <td>-3.700000e-03</td>\n",
       "      <td>8.580000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>2.560000e-02</td>\n",
       "      <td>-7.810000e-04</td>\n",
       "      <td>7.810000e-04</td>\n",
       "      <td>-6.400000e-03</td>\n",
       "      <td>4.320000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>1.530000e-02</td>\n",
       "      <td>-7.390000e-04</td>\n",
       "      <td>7.390000e-04</td>\n",
       "      <td>-1.250000e-03</td>\n",
       "      <td>4.430000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.580000e+02</td>\n",
       "      <td>1.580000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>61</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>4.430000e-02</td>\n",
       "      <td>-2.310000e-03</td>\n",
       "      <td>2.310000e-03</td>\n",
       "      <td>-6.950000e-03</td>\n",
       "      <td>5.200000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>5.940000e-02</td>\n",
       "      <td>-2.100000e-03</td>\n",
       "      <td>2.100000e-03</td>\n",
       "      <td>-1.230000e-02</td>\n",
       "      <td>1.290000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64</th>\n",
       "      <td>7.000000e-02</td>\n",
       "      <td>-1.290000e-03</td>\n",
       "      <td>1.290000e-03</td>\n",
       "      <td>-4.500000e-03</td>\n",
       "      <td>9.820000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>65</th>\n",
       "      <td>7.810000e-02</td>\n",
       "      <td>-7.620000e-04</td>\n",
       "      <td>7.620000e-04</td>\n",
       "      <td>-2.940000e-03</td>\n",
       "      <td>1.270000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>8.270000e-02</td>\n",
       "      <td>-5.900000e-04</td>\n",
       "      <td>5.900000e-04</td>\n",
       "      <td>-1.910000e-03</td>\n",
       "      <td>6.490000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67</th>\n",
       "      <td>8.330000e-02</td>\n",
       "      <td>-5.010000e-04</td>\n",
       "      <td>5.010000e-04</td>\n",
       "      <td>-1.320000e-03</td>\n",
       "      <td>3.550000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>8.350000e-02</td>\n",
       "      <td>-4.490000e-04</td>\n",
       "      <td>4.490000e-04</td>\n",
       "      <td>-1.270000e-03</td>\n",
       "      <td>2.390000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>69</th>\n",
       "      <td>8.050000e-02</td>\n",
       "      <td>-4.160000e-04</td>\n",
       "      <td>4.160000e-04</td>\n",
       "      <td>-1.330000e-03</td>\n",
       "      <td>1.990000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>7.720000e-02</td>\n",
       "      <td>-4.010000e-04</td>\n",
       "      <td>4.010000e-04</td>\n",
       "      <td>-1.380000e-03</td>\n",
       "      <td>5.210000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>7.130000e-02</td>\n",
       "      <td>-4.110000e-04</td>\n",
       "      <td>4.110000e-04</td>\n",
       "      <td>-1.430000e-03</td>\n",
       "      <td>1.470000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>6.330000e-02</td>\n",
       "      <td>-4.690000e-04</td>\n",
       "      <td>4.690000e-04</td>\n",
       "      <td>-1.290000e-03</td>\n",
       "      <td>1.270000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>73</th>\n",
       "      <td>5.480000e-02</td>\n",
       "      <td>-5.960000e-04</td>\n",
       "      <td>5.960000e-04</td>\n",
       "      <td>-1.660000e-03</td>\n",
       "      <td>1.480000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74</th>\n",
       "      <td>4.380000e-02</td>\n",
       "      <td>-8.240000e-04</td>\n",
       "      <td>8.240000e-04</td>\n",
       "      <td>-3.790000e-03</td>\n",
       "      <td>1.920000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>3.450000e-02</td>\n",
       "      <td>-1.080000e-03</td>\n",
       "      <td>1.080000e-03</td>\n",
       "      <td>-6.740000e-03</td>\n",
       "      <td>4.670000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.580000e+02</td>\n",
       "      <td>1.580000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>77</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>1.450000e-01</td>\n",
       "      <td>-5.330000e-03</td>\n",
       "      <td>5.330000e-03</td>\n",
       "      <td>-7.460000e-03</td>\n",
       "      <td>1.340000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>1.560000e-01</td>\n",
       "      <td>-3.090000e-03</td>\n",
       "      <td>3.090000e-03</td>\n",
       "      <td>-1.680000e-02</td>\n",
       "      <td>8.980000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>1.290000e-01</td>\n",
       "      <td>-2.300000e-03</td>\n",
       "      <td>2.300000e-03</td>\n",
       "      <td>-1.380000e-02</td>\n",
       "      <td>3.800000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>1.120000e-01</td>\n",
       "      <td>-1.390000e-03</td>\n",
       "      <td>1.390000e-03</td>\n",
       "      <td>-7.870000e-03</td>\n",
       "      <td>2.390000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83</th>\n",
       "      <td>9.650000e-02</td>\n",
       "      <td>-7.480000e-04</td>\n",
       "      <td>7.480000e-04</td>\n",
       "      <td>-5.080000e-03</td>\n",
       "      <td>1.810000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>84</th>\n",
       "      <td>8.520000e-02</td>\n",
       "      <td>-5.480000e-04</td>\n",
       "      <td>5.480000e-04</td>\n",
       "      <td>-6.560000e-03</td>\n",
       "      <td>1.120000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85</th>\n",
       "      <td>7.400000e-02</td>\n",
       "      <td>-4.290000e-04</td>\n",
       "      <td>4.290000e-04</td>\n",
       "      <td>-7.490000e-03</td>\n",
       "      <td>8.840000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>86</th>\n",
       "      <td>6.640000e-02</td>\n",
       "      <td>-3.490000e-04</td>\n",
       "      <td>3.490000e-04</td>\n",
       "      <td>-8.120000e-03</td>\n",
       "      <td>5.990000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>87</th>\n",
       "      <td>5.850000e-02</td>\n",
       "      <td>-3.040000e-04</td>\n",
       "      <td>3.040000e-04</td>\n",
       "      <td>-8.020000e-03</td>\n",
       "      <td>6.190000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>88</th>\n",
       "      <td>5.200000e-02</td>\n",
       "      <td>-2.810000e-04</td>\n",
       "      <td>2.810000e-04</td>\n",
       "      <td>-7.700000e-03</td>\n",
       "      <td>6.380000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>89</th>\n",
       "      <td>4.670000e-02</td>\n",
       "      <td>-2.850000e-04</td>\n",
       "      <td>2.850000e-04</td>\n",
       "      <td>-7.580000e-03</td>\n",
       "      <td>6.390000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>90</th>\n",
       "      <td>4.060000e-02</td>\n",
       "      <td>-2.950000e-04</td>\n",
       "      <td>2.950000e-04</td>\n",
       "      <td>-6.680000e-03</td>\n",
       "      <td>5.920000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>91</th>\n",
       "      <td>3.380000e-02</td>\n",
       "      <td>-3.210000e-04</td>\n",
       "      <td>3.210000e-04</td>\n",
       "      <td>-5.370000e-03</td>\n",
       "      <td>5.270000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>2.820000e-02</td>\n",
       "      <td>-3.560000e-04</td>\n",
       "      <td>3.560000e-04</td>\n",
       "      <td>-4.000000e-03</td>\n",
       "      <td>4.690000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>93</th>\n",
       "      <td>2.210000e-02</td>\n",
       "      <td>-3.600000e-04</td>\n",
       "      <td>3.600000e-04</td>\n",
       "      <td>-2.630000e-03</td>\n",
       "      <td>4.560000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>1.570000e-02</td>\n",
       "      <td>-3.400000e-04</td>\n",
       "      <td>3.400000e-04</td>\n",
       "      <td>-2.480000e-03</td>\n",
       "      <td>5.960000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.580000e+02</td>\n",
       "      <td>1.580000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>2.220000e-02</td>\n",
       "      <td>-5.210000e-04</td>\n",
       "      <td>5.210000e-04</td>\n",
       "      <td>-5.020000e-03</td>\n",
       "      <td>4.770000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>2.550000e-02</td>\n",
       "      <td>-3.690000e-04</td>\n",
       "      <td>3.690000e-04</td>\n",
       "      <td>-5.480000e-03</td>\n",
       "      <td>5.040000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>100</th>\n",
       "      <td>3.020000e-02</td>\n",
       "      <td>-3.330000e-04</td>\n",
       "      <td>3.330000e-04</td>\n",
       "      <td>-6.160000e-03</td>\n",
       "      <td>5.370000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>101</th>\n",
       "      <td>3.300000e-02</td>\n",
       "      <td>-3.020000e-04</td>\n",
       "      <td>3.020000e-04</td>\n",
       "      <td>-6.410000e-03</td>\n",
       "      <td>5.400000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>102</th>\n",
       "      <td>3.490000e-02</td>\n",
       "      <td>-2.740000e-04</td>\n",
       "      <td>2.740000e-04</td>\n",
       "      <td>-6.320000e-03</td>\n",
       "      <td>5.430000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>103</th>\n",
       "      <td>3.670000e-02</td>\n",
       "      <td>-2.550000e-04</td>\n",
       "      <td>2.550000e-04</td>\n",
       "      <td>-6.360000e-03</td>\n",
       "      <td>5.760000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>104</th>\n",
       "      <td>3.680000e-02</td>\n",
       "      <td>-2.500000e-04</td>\n",
       "      <td>2.500000e-04</td>\n",
       "      <td>-6.180000e-03</td>\n",
       "      <td>5.480000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>105</th>\n",
       "      <td>3.660000e-02</td>\n",
       "      <td>-2.600000e-04</td>\n",
       "      <td>2.600000e-04</td>\n",
       "      <td>-6.100000e-03</td>\n",
       "      <td>5.490000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>106</th>\n",
       "      <td>3.520000e-02</td>\n",
       "      <td>-2.830000e-04</td>\n",
       "      <td>2.830000e-04</td>\n",
       "      <td>-5.520000e-03</td>\n",
       "      <td>5.370000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>107</th>\n",
       "      <td>3.230000e-02</td>\n",
       "      <td>-3.220000e-04</td>\n",
       "      <td>3.220000e-04</td>\n",
       "      <td>-4.480000e-03</td>\n",
       "      <td>4.740000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>108</th>\n",
       "      <td>3.000000e-02</td>\n",
       "      <td>-3.820000e-04</td>\n",
       "      <td>3.820000e-04</td>\n",
       "      <td>-3.320000e-03</td>\n",
       "      <td>4.390000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>109</th>\n",
       "      <td>2.570000e-02</td>\n",
       "      <td>-4.450000e-04</td>\n",
       "      <td>4.450000e-04</td>\n",
       "      <td>-2.770000e-03</td>\n",
       "      <td>4.280000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>110</th>\n",
       "      <td>2.150000e-02</td>\n",
       "      <td>-4.890000e-04</td>\n",
       "      <td>4.890000e-04</td>\n",
       "      <td>-3.470000e-03</td>\n",
       "      <td>5.510000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>111</th>\n",
       "      <td>1.330000e-02</td>\n",
       "      <td>-6.290000e-04</td>\n",
       "      <td>6.290000e-04</td>\n",
       "      <td>-4.840000e-04</td>\n",
       "      <td>4.490000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>112</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-3.500000e+02</td>\n",
       "      <td>3.500000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>113</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>114</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>115</th>\n",
       "      <td>7.850000e-01</td>\n",
       "      <td>-9.240000e-03</td>\n",
       "      <td>9.240000e-03</td>\n",
       "      <td>-6.090000e-02</td>\n",
       "      <td>5.570000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>116</th>\n",
       "      <td>8.180000e-01</td>\n",
       "      <td>-5.240000e-03</td>\n",
       "      <td>5.240000e-03</td>\n",
       "      <td>-2.770000e-02</td>\n",
       "      <td>2.530000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>117</th>\n",
       "      <td>8.590000e-01</td>\n",
       "      <td>-2.260000e-03</td>\n",
       "      <td>2.260000e-03</td>\n",
       "      <td>-1.800000e-02</td>\n",
       "      <td>1.960000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118</th>\n",
       "      <td>8.660000e-01</td>\n",
       "      <td>-3.000000e-03</td>\n",
       "      <td>3.000000e-03</td>\n",
       "      <td>-1.740000e-02</td>\n",
       "      <td>1.870000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>119</th>\n",
       "      <td>8.680000e-01</td>\n",
       "      <td>-1.860000e-03</td>\n",
       "      <td>1.860000e-03</td>\n",
       "      <td>-1.860000e-02</td>\n",
       "      <td>1.890000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>120</th>\n",
       "      <td>8.700000e-01</td>\n",
       "      <td>-1.580000e-03</td>\n",
       "      <td>1.580000e-03</td>\n",
       "      <td>-1.910000e-02</td>\n",
       "      <td>1.810000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>121</th>\n",
       "      <td>8.730000e-01</td>\n",
       "      <td>-1.200000e-03</td>\n",
       "      <td>1.200000e-03</td>\n",
       "      <td>-2.350000e-02</td>\n",
       "      <td>1.870000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>8.570000e-01</td>\n",
       "      <td>-1.230000e-03</td>\n",
       "      <td>1.230000e-03</td>\n",
       "      <td>-2.140000e-02</td>\n",
       "      <td>1.840000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>123</th>\n",
       "      <td>8.370000e-01</td>\n",
       "      <td>-1.180000e-03</td>\n",
       "      <td>1.180000e-03</td>\n",
       "      <td>-2.060000e-02</td>\n",
       "      <td>1.820000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>8.030000e-01</td>\n",
       "      <td>-1.140000e-03</td>\n",
       "      <td>1.140000e-03</td>\n",
       "      <td>-1.870000e-02</td>\n",
       "      <td>1.720000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>7.630000e-01</td>\n",
       "      <td>-1.100000e-03</td>\n",
       "      <td>1.100000e-03</td>\n",
       "      <td>-1.730000e-02</td>\n",
       "      <td>1.600000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>126</th>\n",
       "      <td>7.160000e-01</td>\n",
       "      <td>-1.050000e-03</td>\n",
       "      <td>1.050000e-03</td>\n",
       "      <td>-1.590000e-02</td>\n",
       "      <td>1.460000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>127</th>\n",
       "      <td>6.600000e-01</td>\n",
       "      <td>-1.010000e-03</td>\n",
       "      <td>1.010000e-03</td>\n",
       "      <td>-1.480000e-02</td>\n",
       "      <td>1.310000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>128</th>\n",
       "      <td>5.960000e-01</td>\n",
       "      <td>-9.920000e-04</td>\n",
       "      <td>9.920000e-04</td>\n",
       "      <td>-1.400000e-02</td>\n",
       "      <td>1.200000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>129</th>\n",
       "      <td>5.230000e-01</td>\n",
       "      <td>-1.060000e-03</td>\n",
       "      <td>1.060000e-03</td>\n",
       "      <td>-1.300000e-02</td>\n",
       "      <td>1.100000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>130</th>\n",
       "      <td>4.500000e-01</td>\n",
       "      <td>-1.290000e-03</td>\n",
       "      <td>1.290000e-03</td>\n",
       "      <td>-1.270000e-02</td>\n",
       "      <td>1.100000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>131</th>\n",
       "      <td>3.700000e-01</td>\n",
       "      <td>-2.580000e-03</td>\n",
       "      <td>2.580000e-03</td>\n",
       "      <td>-1.160000e-02</td>\n",
       "      <td>1.170000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>132</th>\n",
       "      <td>2.970000e-01</td>\n",
       "      <td>-2.630000e-03</td>\n",
       "      <td>2.630000e-03</td>\n",
       "      <td>-1.010000e-02</td>\n",
       "      <td>1.130000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>133</th>\n",
       "      <td>2.300000e-01</td>\n",
       "      <td>-2.220000e-03</td>\n",
       "      <td>2.220000e-03</td>\n",
       "      <td>-9.390000e-03</td>\n",
       "      <td>9.220000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>134</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-3.500000e+02</td>\n",
       "      <td>3.500000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>135</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>136</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>137</th>\n",
       "      <td>8.000000e-01</td>\n",
       "      <td>-8.550000e-03</td>\n",
       "      <td>8.550000e-03</td>\n",
       "      <td>-4.030000e-02</td>\n",
       "      <td>5.330000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>138</th>\n",
       "      <td>8.950000e-01</td>\n",
       "      <td>-3.290000e-03</td>\n",
       "      <td>3.290000e-03</td>\n",
       "      <td>-1.850000e-02</td>\n",
       "      <td>2.050000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>139</th>\n",
       "      <td>9.170000e-01</td>\n",
       "      <td>-2.190000e-03</td>\n",
       "      <td>2.190000e-03</td>\n",
       "      <td>-1.810000e-02</td>\n",
       "      <td>1.970000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>140</th>\n",
       "      <td>9.320000e-01</td>\n",
       "      <td>-2.350000e-03</td>\n",
       "      <td>2.350000e-03</td>\n",
       "      <td>-3.340000e-02</td>\n",
       "      <td>1.980000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>141</th>\n",
       "      <td>9.470000e-01</td>\n",
       "      <td>-1.900000e-03</td>\n",
       "      <td>1.900000e-03</td>\n",
       "      <td>-2.020000e-02</td>\n",
       "      <td>2.060000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>142</th>\n",
       "      <td>9.630000e-01</td>\n",
       "      <td>-1.610000e-03</td>\n",
       "      <td>1.610000e-03</td>\n",
       "      <td>-2.080000e-02</td>\n",
       "      <td>2.020000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>143</th>\n",
       "      <td>9.740000e-01</td>\n",
       "      <td>-1.270000e-03</td>\n",
       "      <td>1.270000e-03</td>\n",
       "      <td>-2.600000e-02</td>\n",
       "      <td>2.110000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>144</th>\n",
       "      <td>9.730000e-01</td>\n",
       "      <td>-1.310000e-03</td>\n",
       "      <td>1.310000e-03</td>\n",
       "      <td>-2.390000e-02</td>\n",
       "      <td>2.080000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>9.650000e-01</td>\n",
       "      <td>-1.270000e-03</td>\n",
       "      <td>1.270000e-03</td>\n",
       "      <td>-2.210000e-02</td>\n",
       "      <td>2.050000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>9.490000e-01</td>\n",
       "      <td>-1.230000e-03</td>\n",
       "      <td>1.230000e-03</td>\n",
       "      <td>-2.040000e-02</td>\n",
       "      <td>1.960000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>9.240000e-01</td>\n",
       "      <td>-1.200000e-03</td>\n",
       "      <td>1.200000e-03</td>\n",
       "      <td>-1.890000e-02</td>\n",
       "      <td>1.820000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>8.920000e-01</td>\n",
       "      <td>-1.170000e-03</td>\n",
       "      <td>1.170000e-03</td>\n",
       "      <td>-1.760000e-02</td>\n",
       "      <td>1.660000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>8.450000e-01</td>\n",
       "      <td>-1.140000e-03</td>\n",
       "      <td>1.140000e-03</td>\n",
       "      <td>-1.700000e-02</td>\n",
       "      <td>1.610000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>150</th>\n",
       "      <td>7.950000e-01</td>\n",
       "      <td>-1.150000e-03</td>\n",
       "      <td>1.150000e-03</td>\n",
       "      <td>-1.630000e-02</td>\n",
       "      <td>1.550000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>151</th>\n",
       "      <td>7.370000e-01</td>\n",
       "      <td>-1.250000e-03</td>\n",
       "      <td>1.250000e-03</td>\n",
       "      <td>-1.440000e-02</td>\n",
       "      <td>1.380000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>152</th>\n",
       "      <td>6.670000e-01</td>\n",
       "      <td>-1.500000e-03</td>\n",
       "      <td>1.500000e-03</td>\n",
       "      <td>-1.330000e-02</td>\n",
       "      <td>1.290000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>153</th>\n",
       "      <td>5.930000e-01</td>\n",
       "      <td>-2.000000e-03</td>\n",
       "      <td>2.000000e-03</td>\n",
       "      <td>-1.360000e-02</td>\n",
       "      <td>1.370000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>154</th>\n",
       "      <td>5.200000e-01</td>\n",
       "      <td>-3.320000e-03</td>\n",
       "      <td>3.320000e-03</td>\n",
       "      <td>-1.300000e-02</td>\n",
       "      <td>1.520000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>155</th>\n",
       "      <td>4.410000e-01</td>\n",
       "      <td>-4.360000e-03</td>\n",
       "      <td>4.360000e-03</td>\n",
       "      <td>-1.340000e-02</td>\n",
       "      <td>1.290000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>156</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-3.500000e+02</td>\n",
       "      <td>3.500000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>157</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>158</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>159</th>\n",
       "      <td>7.020000e-02</td>\n",
       "      <td>-3.140000e-03</td>\n",
       "      <td>3.140000e-03</td>\n",
       "      <td>-1.350000e-02</td>\n",
       "      <td>9.810000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>160</th>\n",
       "      <td>9.600000e-02</td>\n",
       "      <td>-1.350000e-03</td>\n",
       "      <td>1.350000e-03</td>\n",
       "      <td>-7.180000e-03</td>\n",
       "      <td>1.510000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>161</th>\n",
       "      <td>9.660000e-02</td>\n",
       "      <td>-9.030000e-04</td>\n",
       "      <td>9.030000e-04</td>\n",
       "      <td>-3.260000e-03</td>\n",
       "      <td>8.440000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>162</th>\n",
       "      <td>9.910000e-02</td>\n",
       "      <td>-6.750000e-04</td>\n",
       "      <td>6.750000e-04</td>\n",
       "      <td>-2.390000e-03</td>\n",
       "      <td>6.040000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>163</th>\n",
       "      <td>1.000000e-01</td>\n",
       "      <td>-5.570000e-04</td>\n",
       "      <td>5.570000e-04</td>\n",
       "      <td>-1.970000e-03</td>\n",
       "      <td>4.040000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>164</th>\n",
       "      <td>9.900000e-02</td>\n",
       "      <td>-5.060000e-04</td>\n",
       "      <td>5.060000e-04</td>\n",
       "      <td>-1.990000e-03</td>\n",
       "      <td>3.240000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>165</th>\n",
       "      <td>9.610000e-02</td>\n",
       "      <td>-4.800000e-04</td>\n",
       "      <td>4.800000e-04</td>\n",
       "      <td>-1.790000e-03</td>\n",
       "      <td>2.420000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>166</th>\n",
       "      <td>9.160000e-02</td>\n",
       "      <td>-5.060000e-04</td>\n",
       "      <td>5.060000e-04</td>\n",
       "      <td>-1.770000e-03</td>\n",
       "      <td>2.030000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>167</th>\n",
       "      <td>8.560000e-02</td>\n",
       "      <td>-5.840000e-04</td>\n",
       "      <td>5.840000e-04</td>\n",
       "      <td>-1.970000e-03</td>\n",
       "      <td>1.980000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>168</th>\n",
       "      <td>7.780000e-02</td>\n",
       "      <td>-7.490000e-04</td>\n",
       "      <td>7.490000e-04</td>\n",
       "      <td>-2.360000e-03</td>\n",
       "      <td>2.170000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>169</th>\n",
       "      <td>6.850000e-02</td>\n",
       "      <td>-1.110000e-03</td>\n",
       "      <td>1.110000e-03</td>\n",
       "      <td>-5.160000e-03</td>\n",
       "      <td>3.950000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>170</th>\n",
       "      <td>5.650000e-02</td>\n",
       "      <td>-1.380000e-03</td>\n",
       "      <td>1.380000e-03</td>\n",
       "      <td>-1.340000e-02</td>\n",
       "      <td>7.550000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>171</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-3.500000e+02</td>\n",
       "      <td>3.500000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>172</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>173</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>174</th>\n",
       "      <td>4.210000e-02</td>\n",
       "      <td>-2.270000e-03</td>\n",
       "      <td>2.270000e-03</td>\n",
       "      <td>-5.980000e-03</td>\n",
       "      <td>5.610000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>175</th>\n",
       "      <td>5.730000e-02</td>\n",
       "      <td>-2.130000e-03</td>\n",
       "      <td>2.130000e-03</td>\n",
       "      <td>-9.900000e-03</td>\n",
       "      <td>9.890000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>176</th>\n",
       "      <td>7.260000e-02</td>\n",
       "      <td>-1.310000e-03</td>\n",
       "      <td>1.310000e-03</td>\n",
       "      <td>-5.080000e-03</td>\n",
       "      <td>8.510000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>177</th>\n",
       "      <td>8.440000e-02</td>\n",
       "      <td>-7.770000e-04</td>\n",
       "      <td>7.770000e-04</td>\n",
       "      <td>-3.080000e-03</td>\n",
       "      <td>1.160000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>178</th>\n",
       "      <td>9.070000e-02</td>\n",
       "      <td>-6.270000e-04</td>\n",
       "      <td>6.270000e-04</td>\n",
       "      <td>-1.900000e-03</td>\n",
       "      <td>6.930000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>179</th>\n",
       "      <td>9.210000e-02</td>\n",
       "      <td>-5.330000e-04</td>\n",
       "      <td>5.330000e-04</td>\n",
       "      <td>-1.720000e-03</td>\n",
       "      <td>4.590000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>180</th>\n",
       "      <td>9.480000e-02</td>\n",
       "      <td>-4.920000e-04</td>\n",
       "      <td>4.920000e-04</td>\n",
       "      <td>-1.710000e-03</td>\n",
       "      <td>3.640000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>181</th>\n",
       "      <td>9.590000e-02</td>\n",
       "      <td>-4.660000e-04</td>\n",
       "      <td>4.660000e-04</td>\n",
       "      <td>-1.590000e-03</td>\n",
       "      <td>2.820000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>182</th>\n",
       "      <td>9.380000e-02</td>\n",
       "      <td>-4.520000e-04</td>\n",
       "      <td>4.520000e-04</td>\n",
       "      <td>-1.750000e-03</td>\n",
       "      <td>2.390000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>183</th>\n",
       "      <td>9.160000e-02</td>\n",
       "      <td>-4.670000e-04</td>\n",
       "      <td>4.670000e-04</td>\n",
       "      <td>-1.550000e-03</td>\n",
       "      <td>1.820000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>184</th>\n",
       "      <td>8.810000e-02</td>\n",
       "      <td>-5.480000e-04</td>\n",
       "      <td>5.480000e-04</td>\n",
       "      <td>-1.630000e-03</td>\n",
       "      <td>1.670000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>185</th>\n",
       "      <td>8.300000e-02</td>\n",
       "      <td>-7.270000e-04</td>\n",
       "      <td>7.270000e-04</td>\n",
       "      <td>-2.240000e-03</td>\n",
       "      <td>2.130000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>186</th>\n",
       "      <td>7.470000e-02</td>\n",
       "      <td>-1.110000e-03</td>\n",
       "      <td>1.110000e-03</td>\n",
       "      <td>-4.630000e-03</td>\n",
       "      <td>3.560000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>187</th>\n",
       "      <td>6.490000e-02</td>\n",
       "      <td>-1.600000e-03</td>\n",
       "      <td>1.600000e-03</td>\n",
       "      <td>-1.250000e-02</td>\n",
       "      <td>7.180000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>188</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-3.500000e+02</td>\n",
       "      <td>3.500000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>189</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>190</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>191</th>\n",
       "      <td>1.540000e-01</td>\n",
       "      <td>-3.460000e-03</td>\n",
       "      <td>3.460000e-03</td>\n",
       "      <td>-1.510000e-02</td>\n",
       "      <td>1.670000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192</th>\n",
       "      <td>1.340000e-01</td>\n",
       "      <td>-2.460000e-03</td>\n",
       "      <td>2.460000e-03</td>\n",
       "      <td>-1.500000e-02</td>\n",
       "      <td>1.480000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>193</th>\n",
       "      <td>1.120000e-01</td>\n",
       "      <td>-1.450000e-03</td>\n",
       "      <td>1.450000e-03</td>\n",
       "      <td>-7.990000e-03</td>\n",
       "      <td>1.050000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>194</th>\n",
       "      <td>9.730000e-02</td>\n",
       "      <td>-7.940000e-04</td>\n",
       "      <td>7.940000e-04</td>\n",
       "      <td>-4.060000e-03</td>\n",
       "      <td>8.860000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>8.770000e-02</td>\n",
       "      <td>-5.930000e-04</td>\n",
       "      <td>5.930000e-04</td>\n",
       "      <td>-3.280000e-03</td>\n",
       "      <td>5.690000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>8.010000e-02</td>\n",
       "      <td>-4.740000e-04</td>\n",
       "      <td>4.740000e-04</td>\n",
       "      <td>-4.790000e-03</td>\n",
       "      <td>4.050000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>197</th>\n",
       "      <td>7.250000e-02</td>\n",
       "      <td>-3.920000e-04</td>\n",
       "      <td>3.920000e-04</td>\n",
       "      <td>-5.200000e-03</td>\n",
       "      <td>3.560000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>6.690000e-02</td>\n",
       "      <td>-3.500000e-04</td>\n",
       "      <td>3.500000e-04</td>\n",
       "      <td>-6.070000e-03</td>\n",
       "      <td>4.460000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>6.080000e-02</td>\n",
       "      <td>-3.300000e-04</td>\n",
       "      <td>3.300000e-04</td>\n",
       "      <td>-6.450000e-03</td>\n",
       "      <td>5.160000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <td>5.680000e-02</td>\n",
       "      <td>-3.390000e-04</td>\n",
       "      <td>3.390000e-04</td>\n",
       "      <td>-6.850000e-03</td>\n",
       "      <td>5.350000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>201</th>\n",
       "      <td>5.200000e-02</td>\n",
       "      <td>-3.650000e-04</td>\n",
       "      <td>3.650000e-04</td>\n",
       "      <td>-7.180000e-03</td>\n",
       "      <td>5.730000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>202</th>\n",
       "      <td>4.750000e-02</td>\n",
       "      <td>-4.200000e-04</td>\n",
       "      <td>4.200000e-04</td>\n",
       "      <td>-6.850000e-03</td>\n",
       "      <td>5.610000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>203</th>\n",
       "      <td>4.380000e-02</td>\n",
       "      <td>-5.140000e-04</td>\n",
       "      <td>5.140000e-04</td>\n",
       "      <td>-6.380000e-03</td>\n",
       "      <td>5.830000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>204</th>\n",
       "      <td>4.080000e-02</td>\n",
       "      <td>-6.090000e-04</td>\n",
       "      <td>6.090000e-04</td>\n",
       "      <td>-5.740000e-03</td>\n",
       "      <td>7.430000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>205</th>\n",
       "      <td>3.850000e-02</td>\n",
       "      <td>-7.400000e-04</td>\n",
       "      <td>7.400000e-04</td>\n",
       "      <td>-6.080000e-03</td>\n",
       "      <td>9.270000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>206</th>\n",
       "      <td>3.130000e-02</td>\n",
       "      <td>-7.530000e-04</td>\n",
       "      <td>7.530000e-04</td>\n",
       "      <td>-5.880000e-03</td>\n",
       "      <td>8.600000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>207</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-3.500000e+02</td>\n",
       "      <td>3.500000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>208</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>209</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>210</th>\n",
       "      <td>2.230000e-02</td>\n",
       "      <td>-5.520000e-04</td>\n",
       "      <td>5.520000e-04</td>\n",
       "      <td>-3.880000e-03</td>\n",
       "      <td>4.060000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>211</th>\n",
       "      <td>2.590000e-02</td>\n",
       "      <td>-4.030000e-04</td>\n",
       "      <td>4.030000e-04</td>\n",
       "      <td>-4.420000e-03</td>\n",
       "      <td>4.040000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>212</th>\n",
       "      <td>3.080000e-02</td>\n",
       "      <td>-3.600000e-04</td>\n",
       "      <td>3.600000e-04</td>\n",
       "      <td>-5.130000e-03</td>\n",
       "      <td>4.390000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>213</th>\n",
       "      <td>3.480000e-02</td>\n",
       "      <td>-3.330000e-04</td>\n",
       "      <td>3.330000e-04</td>\n",
       "      <td>-5.650000e-03</td>\n",
       "      <td>4.840000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>214</th>\n",
       "      <td>3.780000e-02</td>\n",
       "      <td>-3.090000e-04</td>\n",
       "      <td>3.090000e-04</td>\n",
       "      <td>-5.520000e-03</td>\n",
       "      <td>4.780000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>215</th>\n",
       "      <td>4.010000e-02</td>\n",
       "      <td>-2.960000e-04</td>\n",
       "      <td>2.960000e-04</td>\n",
       "      <td>-5.560000e-03</td>\n",
       "      <td>5.120000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>216</th>\n",
       "      <td>4.150000e-02</td>\n",
       "      <td>-2.900000e-04</td>\n",
       "      <td>2.900000e-04</td>\n",
       "      <td>-5.370000e-03</td>\n",
       "      <td>5.240000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>217</th>\n",
       "      <td>4.220000e-02</td>\n",
       "      <td>-3.010000e-04</td>\n",
       "      <td>3.010000e-04</td>\n",
       "      <td>-5.390000e-03</td>\n",
       "      <td>4.860000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>218</th>\n",
       "      <td>4.180000e-02</td>\n",
       "      <td>-3.350000e-04</td>\n",
       "      <td>3.350000e-04</td>\n",
       "      <td>-5.630000e-03</td>\n",
       "      <td>5.130000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>219</th>\n",
       "      <td>4.090000e-02</td>\n",
       "      <td>-3.980000e-04</td>\n",
       "      <td>3.980000e-04</td>\n",
       "      <td>-5.540000e-03</td>\n",
       "      <td>5.000000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>220</th>\n",
       "      <td>4.030000e-02</td>\n",
       "      <td>-5.140000e-04</td>\n",
       "      <td>5.140000e-04</td>\n",
       "      <td>-5.230000e-03</td>\n",
       "      <td>5.040000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>221</th>\n",
       "      <td>4.070000e-02</td>\n",
       "      <td>-6.520000e-04</td>\n",
       "      <td>6.520000e-04</td>\n",
       "      <td>-5.260000e-03</td>\n",
       "      <td>6.860000e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>222</th>\n",
       "      <td>4.120000e-02</td>\n",
       "      <td>-8.440000e-04</td>\n",
       "      <td>8.440000e-04</td>\n",
       "      <td>-6.820000e-03</td>\n",
       "      <td>1.060000e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>223</th>\n",
       "      <td>3.980000e-02</td>\n",
       "      <td>-1.120000e-03</td>\n",
       "      <td>1.120000e-03</td>\n",
       "      <td>-7.990000e-03</td>\n",
       "      <td>1.110000e-02</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               y        ystat-        ystat         ysys-        ysys+\n",
       "0            NaN -1.580000e+02 1.580000e+02           NaN          NaN\n",
       "1            NaN           NaN          NaN           NaN          NaN\n",
       "2            NaN           NaN          NaN           NaN          NaN\n",
       "3   7.820000e-01 -9.480000e-03 9.480000e-03 -4.490000e-02 3.260000e-02\n",
       "4   7.780000e-01 -5.400000e-03 5.400000e-03 -2.510000e-02 2.210000e-02\n",
       "5   8.100000e-01 -2.290000e-03 2.290000e-03 -2.130000e-02 1.880000e-02\n",
       "6   8.030000e-01 -5.330000e-03 5.330000e-03 -1.940000e-02 1.520000e-02\n",
       "7   7.900000e-01 -1.810000e-03 1.810000e-03 -2.240000e-02 1.690000e-02\n",
       "8   7.820000e-01 -1.540000e-03 1.540000e-03 -2.300000e-02 1.620000e-02\n",
       "9   7.650000e-01 -1.140000e-03 1.140000e-03 -2.540000e-02 1.700000e-02\n",
       "10  7.270000e-01 -1.150000e-03 1.150000e-03 -1.990000e-02 1.670000e-02\n",
       "11  6.840000e-01 -1.090000e-03 1.090000e-03 -1.600000e-02 1.510000e-02\n",
       "12  6.300000e-01 -1.020000e-03 1.020000e-03 -1.240000e-02 1.290000e-02\n",
       "13  5.700000e-01 -9.600000e-04 9.600000e-04 -1.000000e-02 1.060000e-02\n",
       "14  5.040000e-01 -8.950000e-04 8.950000e-04 -8.470000e-03 8.750000e-03\n",
       "15  4.290000e-01 -8.220000e-04 8.220000e-04 -7.060000e-03 7.150000e-03\n",
       "16  3.520000e-01 -7.530000e-04 7.530000e-04 -6.070000e-03 5.930000e-03\n",
       "17  2.780000e-01 -7.500000e-04 7.500000e-04 -7.120000e-03 7.040000e-03\n",
       "18  2.100000e-01 -9.510000e-04 9.510000e-04 -1.060000e-02 5.750000e-03\n",
       "19  1.440000e-01 -9.330000e-04 9.330000e-04 -4.030000e-03 4.530000e-03\n",
       "20  9.110000e-02 -6.870000e-04 6.870000e-04 -3.280000e-03 3.690000e-03\n",
       "21  5.190000e-02 -8.160000e-04 8.160000e-04 -1.720000e-03 1.900000e-03\n",
       "22           NaN -1.580000e+02 1.580000e+02           NaN          NaN\n",
       "23           NaN           NaN          NaN           NaN          NaN\n",
       "24           NaN           NaN          NaN           NaN          NaN\n",
       "25  8.330000e-01 -1.000000e-02 1.000000e-02 -5.200000e-02 2.610000e-02\n",
       "26  8.820000e-01 -4.050000e-03 4.050000e-03 -2.650000e-02 2.310000e-02\n",
       "27  9.080000e-01 -2.270000e-03 2.270000e-03 -2.190000e-02 1.890000e-02\n",
       "28  9.110000e-01 -2.250000e-03 2.250000e-03 -2.080000e-02 1.800000e-02\n",
       "29  9.200000e-01 -1.900000e-03 1.900000e-03 -2.240000e-02 1.780000e-02\n",
       "30  9.220000e-01 -1.600000e-03 1.600000e-03 -2.380000e-02 1.900000e-02\n",
       "31  9.240000e-01 -1.270000e-03 1.270000e-03 -2.750000e-02 1.930000e-02\n",
       "32  9.010000e-01 -1.290000e-03 1.290000e-03 -2.210000e-02 1.880000e-02\n",
       "33  8.730000e-01 -1.240000e-03 1.240000e-03 -1.770000e-02 1.710000e-02\n",
       "34  8.320000e-01 -1.180000e-03 1.180000e-03 -1.430000e-02 1.440000e-02\n",
       "35  7.810000e-01 -1.130000e-03 1.130000e-03 -1.240000e-02 1.260000e-02\n",
       "36  7.220000e-01 -1.070000e-03 1.070000e-03 -1.210000e-02 1.100000e-02\n",
       "37  6.510000e-01 -1.020000e-03 1.020000e-03 -9.890000e-03 9.850000e-03\n",
       "38  5.740000e-01 -9.900000e-04 9.900000e-04 -8.680000e-03 8.570000e-03\n",
       "39  4.910000e-01 -1.010000e-03 1.010000e-03 -7.600000e-03 7.460000e-03\n",
       "40  4.070000e-01 -1.120000e-03 1.120000e-03 -2.090000e-02 7.650000e-03\n",
       "41  3.300000e-01 -1.350000e-03 1.350000e-03 -7.300000e-03 7.060000e-03\n",
       "42  2.680000e-01 -1.410000e-03 1.410000e-03 -8.560000e-03 9.040000e-03\n",
       "43           NaN -1.580000e+02 1.580000e+02           NaN          NaN\n",
       "44           NaN           NaN          NaN           NaN          NaN\n",
       "45           NaN           NaN          NaN           NaN          NaN\n",
       "46  5.880000e-02 -3.240000e-03 3.240000e-03 -1.030000e-02 1.010000e-02\n",
       "47  8.610000e-02 -1.270000e-03 1.270000e-03 -6.560000e-03 1.420000e-02\n",
       "48  8.580000e-02 -8.330000e-04 8.330000e-04 -2.880000e-03 7.300000e-03\n",
       "49  8.680000e-02 -6.190000e-04 6.190000e-04 -1.880000e-03 4.250000e-03\n",
       "50  8.560000e-02 -5.010000e-04 5.010000e-04 -1.670000e-03 2.390000e-03\n",
       "51  8.030000e-02 -4.440000e-04 4.440000e-04 -1.470000e-03 1.820000e-03\n",
       "52  7.330000e-02 -4.170000e-04 4.170000e-04 -1.510000e-03 1.620000e-03\n",
       "53  6.580000e-02 -4.200000e-04 4.200000e-04 -1.370000e-03 1.350000e-03\n",
       "54  5.500000e-02 -4.630000e-04 4.630000e-04 -1.380000e-03 1.390000e-03\n",
       "55  4.670000e-02 -5.730000e-04 5.730000e-04 -1.860000e-03 1.680000e-03\n",
       "56  3.690000e-02 -7.410000e-04 7.410000e-04 -3.700000e-03 8.580000e-03\n",
       "57  2.560000e-02 -7.810000e-04 7.810000e-04 -6.400000e-03 4.320000e-03\n",
       "58  1.530000e-02 -7.390000e-04 7.390000e-04 -1.250000e-03 4.430000e-03\n",
       "59           NaN -1.580000e+02 1.580000e+02           NaN          NaN\n",
       "60           NaN           NaN          NaN           NaN          NaN\n",
       "61           NaN           NaN          NaN           NaN          NaN\n",
       "62  4.430000e-02 -2.310000e-03 2.310000e-03 -6.950000e-03 5.200000e-03\n",
       "63  5.940000e-02 -2.100000e-03 2.100000e-03 -1.230000e-02 1.290000e-02\n",
       "64  7.000000e-02 -1.290000e-03 1.290000e-03 -4.500000e-03 9.820000e-03\n",
       "65  7.810000e-02 -7.620000e-04 7.620000e-04 -2.940000e-03 1.270000e-02\n",
       "66  8.270000e-02 -5.900000e-04 5.900000e-04 -1.910000e-03 6.490000e-03\n",
       "67  8.330000e-02 -5.010000e-04 5.010000e-04 -1.320000e-03 3.550000e-03\n",
       "68  8.350000e-02 -4.490000e-04 4.490000e-04 -1.270000e-03 2.390000e-03\n",
       "69  8.050000e-02 -4.160000e-04 4.160000e-04 -1.330000e-03 1.990000e-03\n",
       "70  7.720000e-02 -4.010000e-04 4.010000e-04 -1.380000e-03 5.210000e-03\n",
       "71  7.130000e-02 -4.110000e-04 4.110000e-04 -1.430000e-03 1.470000e-03\n",
       "72  6.330000e-02 -4.690000e-04 4.690000e-04 -1.290000e-03 1.270000e-03\n",
       "73  5.480000e-02 -5.960000e-04 5.960000e-04 -1.660000e-03 1.480000e-03\n",
       "74  4.380000e-02 -8.240000e-04 8.240000e-04 -3.790000e-03 1.920000e-02\n",
       "75  3.450000e-02 -1.080000e-03 1.080000e-03 -6.740000e-03 4.670000e-03\n",
       "76           NaN -1.580000e+02 1.580000e+02           NaN          NaN\n",
       "77           NaN           NaN          NaN           NaN          NaN\n",
       "78           NaN           NaN          NaN           NaN          NaN\n",
       "79  1.450000e-01 -5.330000e-03 5.330000e-03 -7.460000e-03 1.340000e-02\n",
       "80  1.560000e-01 -3.090000e-03 3.090000e-03 -1.680000e-02 8.980000e-03\n",
       "81  1.290000e-01 -2.300000e-03 2.300000e-03 -1.380000e-02 3.800000e-02\n",
       "82  1.120000e-01 -1.390000e-03 1.390000e-03 -7.870000e-03 2.390000e-02\n",
       "83  9.650000e-02 -7.480000e-04 7.480000e-04 -5.080000e-03 1.810000e-02\n",
       "84  8.520000e-02 -5.480000e-04 5.480000e-04 -6.560000e-03 1.120000e-02\n",
       "85  7.400000e-02 -4.290000e-04 4.290000e-04 -7.490000e-03 8.840000e-03\n",
       "86  6.640000e-02 -3.490000e-04 3.490000e-04 -8.120000e-03 5.990000e-03\n",
       "87  5.850000e-02 -3.040000e-04 3.040000e-04 -8.020000e-03 6.190000e-03\n",
       "88  5.200000e-02 -2.810000e-04 2.810000e-04 -7.700000e-03 6.380000e-03\n",
       "89  4.670000e-02 -2.850000e-04 2.850000e-04 -7.580000e-03 6.390000e-03\n",
       "90  4.060000e-02 -2.950000e-04 2.950000e-04 -6.680000e-03 5.920000e-03\n",
       "91  3.380000e-02 -3.210000e-04 3.210000e-04 -5.370000e-03 5.270000e-03\n",
       "92  2.820000e-02 -3.560000e-04 3.560000e-04 -4.000000e-03 4.690000e-03\n",
       "93  2.210000e-02 -3.600000e-04 3.600000e-04 -2.630000e-03 4.560000e-03\n",
       "94  1.570000e-02 -3.400000e-04 3.400000e-04 -2.480000e-03 5.960000e-03\n",
       "95           NaN -1.580000e+02 1.580000e+02           NaN          NaN\n",
       "96           NaN           NaN          NaN           NaN          NaN\n",
       "97           NaN           NaN          NaN           NaN          NaN\n",
       "98  2.220000e-02 -5.210000e-04 5.210000e-04 -5.020000e-03 4.770000e-03\n",
       "99  2.550000e-02 -3.690000e-04 3.690000e-04 -5.480000e-03 5.040000e-03\n",
       "100 3.020000e-02 -3.330000e-04 3.330000e-04 -6.160000e-03 5.370000e-03\n",
       "101 3.300000e-02 -3.020000e-04 3.020000e-04 -6.410000e-03 5.400000e-03\n",
       "102 3.490000e-02 -2.740000e-04 2.740000e-04 -6.320000e-03 5.430000e-03\n",
       "103 3.670000e-02 -2.550000e-04 2.550000e-04 -6.360000e-03 5.760000e-03\n",
       "104 3.680000e-02 -2.500000e-04 2.500000e-04 -6.180000e-03 5.480000e-03\n",
       "105 3.660000e-02 -2.600000e-04 2.600000e-04 -6.100000e-03 5.490000e-03\n",
       "106 3.520000e-02 -2.830000e-04 2.830000e-04 -5.520000e-03 5.370000e-03\n",
       "107 3.230000e-02 -3.220000e-04 3.220000e-04 -4.480000e-03 4.740000e-03\n",
       "108 3.000000e-02 -3.820000e-04 3.820000e-04 -3.320000e-03 4.390000e-03\n",
       "109 2.570000e-02 -4.450000e-04 4.450000e-04 -2.770000e-03 4.280000e-03\n",
       "110 2.150000e-02 -4.890000e-04 4.890000e-04 -3.470000e-03 5.510000e-03\n",
       "111 1.330000e-02 -6.290000e-04 6.290000e-04 -4.840000e-04 4.490000e-03\n",
       "112          NaN -3.500000e+02 3.500000e+02           NaN          NaN\n",
       "113          NaN           NaN          NaN           NaN          NaN\n",
       "114          NaN           NaN          NaN           NaN          NaN\n",
       "115 7.850000e-01 -9.240000e-03 9.240000e-03 -6.090000e-02 5.570000e-02\n",
       "116 8.180000e-01 -5.240000e-03 5.240000e-03 -2.770000e-02 2.530000e-02\n",
       "117 8.590000e-01 -2.260000e-03 2.260000e-03 -1.800000e-02 1.960000e-02\n",
       "118 8.660000e-01 -3.000000e-03 3.000000e-03 -1.740000e-02 1.870000e-02\n",
       "119 8.680000e-01 -1.860000e-03 1.860000e-03 -1.860000e-02 1.890000e-02\n",
       "120 8.700000e-01 -1.580000e-03 1.580000e-03 -1.910000e-02 1.810000e-02\n",
       "121 8.730000e-01 -1.200000e-03 1.200000e-03 -2.350000e-02 1.870000e-02\n",
       "122 8.570000e-01 -1.230000e-03 1.230000e-03 -2.140000e-02 1.840000e-02\n",
       "123 8.370000e-01 -1.180000e-03 1.180000e-03 -2.060000e-02 1.820000e-02\n",
       "124 8.030000e-01 -1.140000e-03 1.140000e-03 -1.870000e-02 1.720000e-02\n",
       "125 7.630000e-01 -1.100000e-03 1.100000e-03 -1.730000e-02 1.600000e-02\n",
       "126 7.160000e-01 -1.050000e-03 1.050000e-03 -1.590000e-02 1.460000e-02\n",
       "127 6.600000e-01 -1.010000e-03 1.010000e-03 -1.480000e-02 1.310000e-02\n",
       "128 5.960000e-01 -9.920000e-04 9.920000e-04 -1.400000e-02 1.200000e-02\n",
       "129 5.230000e-01 -1.060000e-03 1.060000e-03 -1.300000e-02 1.100000e-02\n",
       "130 4.500000e-01 -1.290000e-03 1.290000e-03 -1.270000e-02 1.100000e-02\n",
       "131 3.700000e-01 -2.580000e-03 2.580000e-03 -1.160000e-02 1.170000e-02\n",
       "132 2.970000e-01 -2.630000e-03 2.630000e-03 -1.010000e-02 1.130000e-02\n",
       "133 2.300000e-01 -2.220000e-03 2.220000e-03 -9.390000e-03 9.220000e-03\n",
       "134          NaN -3.500000e+02 3.500000e+02           NaN          NaN\n",
       "135          NaN           NaN          NaN           NaN          NaN\n",
       "136          NaN           NaN          NaN           NaN          NaN\n",
       "137 8.000000e-01 -8.550000e-03 8.550000e-03 -4.030000e-02 5.330000e-02\n",
       "138 8.950000e-01 -3.290000e-03 3.290000e-03 -1.850000e-02 2.050000e-02\n",
       "139 9.170000e-01 -2.190000e-03 2.190000e-03 -1.810000e-02 1.970000e-02\n",
       "140 9.320000e-01 -2.350000e-03 2.350000e-03 -3.340000e-02 1.980000e-02\n",
       "141 9.470000e-01 -1.900000e-03 1.900000e-03 -2.020000e-02 2.060000e-02\n",
       "142 9.630000e-01 -1.610000e-03 1.610000e-03 -2.080000e-02 2.020000e-02\n",
       "143 9.740000e-01 -1.270000e-03 1.270000e-03 -2.600000e-02 2.110000e-02\n",
       "144 9.730000e-01 -1.310000e-03 1.310000e-03 -2.390000e-02 2.080000e-02\n",
       "145 9.650000e-01 -1.270000e-03 1.270000e-03 -2.210000e-02 2.050000e-02\n",
       "146 9.490000e-01 -1.230000e-03 1.230000e-03 -2.040000e-02 1.960000e-02\n",
       "147 9.240000e-01 -1.200000e-03 1.200000e-03 -1.890000e-02 1.820000e-02\n",
       "148 8.920000e-01 -1.170000e-03 1.170000e-03 -1.760000e-02 1.660000e-02\n",
       "149 8.450000e-01 -1.140000e-03 1.140000e-03 -1.700000e-02 1.610000e-02\n",
       "150 7.950000e-01 -1.150000e-03 1.150000e-03 -1.630000e-02 1.550000e-02\n",
       "151 7.370000e-01 -1.250000e-03 1.250000e-03 -1.440000e-02 1.380000e-02\n",
       "152 6.670000e-01 -1.500000e-03 1.500000e-03 -1.330000e-02 1.290000e-02\n",
       "153 5.930000e-01 -2.000000e-03 2.000000e-03 -1.360000e-02 1.370000e-02\n",
       "154 5.200000e-01 -3.320000e-03 3.320000e-03 -1.300000e-02 1.520000e-02\n",
       "155 4.410000e-01 -4.360000e-03 4.360000e-03 -1.340000e-02 1.290000e-02\n",
       "156          NaN -3.500000e+02 3.500000e+02           NaN          NaN\n",
       "157          NaN           NaN          NaN           NaN          NaN\n",
       "158          NaN           NaN          NaN           NaN          NaN\n",
       "159 7.020000e-02 -3.140000e-03 3.140000e-03 -1.350000e-02 9.810000e-03\n",
       "160 9.600000e-02 -1.350000e-03 1.350000e-03 -7.180000e-03 1.510000e-02\n",
       "161 9.660000e-02 -9.030000e-04 9.030000e-04 -3.260000e-03 8.440000e-03\n",
       "162 9.910000e-02 -6.750000e-04 6.750000e-04 -2.390000e-03 6.040000e-03\n",
       "163 1.000000e-01 -5.570000e-04 5.570000e-04 -1.970000e-03 4.040000e-03\n",
       "164 9.900000e-02 -5.060000e-04 5.060000e-04 -1.990000e-03 3.240000e-03\n",
       "165 9.610000e-02 -4.800000e-04 4.800000e-04 -1.790000e-03 2.420000e-03\n",
       "166 9.160000e-02 -5.060000e-04 5.060000e-04 -1.770000e-03 2.030000e-03\n",
       "167 8.560000e-02 -5.840000e-04 5.840000e-04 -1.970000e-03 1.980000e-03\n",
       "168 7.780000e-02 -7.490000e-04 7.490000e-04 -2.360000e-03 2.170000e-03\n",
       "169 6.850000e-02 -1.110000e-03 1.110000e-03 -5.160000e-03 3.950000e-03\n",
       "170 5.650000e-02 -1.380000e-03 1.380000e-03 -1.340000e-02 7.550000e-03\n",
       "171          NaN -3.500000e+02 3.500000e+02           NaN          NaN\n",
       "172          NaN           NaN          NaN           NaN          NaN\n",
       "173          NaN           NaN          NaN           NaN          NaN\n",
       "174 4.210000e-02 -2.270000e-03 2.270000e-03 -5.980000e-03 5.610000e-03\n",
       "175 5.730000e-02 -2.130000e-03 2.130000e-03 -9.900000e-03 9.890000e-03\n",
       "176 7.260000e-02 -1.310000e-03 1.310000e-03 -5.080000e-03 8.510000e-03\n",
       "177 8.440000e-02 -7.770000e-04 7.770000e-04 -3.080000e-03 1.160000e-02\n",
       "178 9.070000e-02 -6.270000e-04 6.270000e-04 -1.900000e-03 6.930000e-03\n",
       "179 9.210000e-02 -5.330000e-04 5.330000e-04 -1.720000e-03 4.590000e-03\n",
       "180 9.480000e-02 -4.920000e-04 4.920000e-04 -1.710000e-03 3.640000e-03\n",
       "181 9.590000e-02 -4.660000e-04 4.660000e-04 -1.590000e-03 2.820000e-03\n",
       "182 9.380000e-02 -4.520000e-04 4.520000e-04 -1.750000e-03 2.390000e-03\n",
       "183 9.160000e-02 -4.670000e-04 4.670000e-04 -1.550000e-03 1.820000e-03\n",
       "184 8.810000e-02 -5.480000e-04 5.480000e-04 -1.630000e-03 1.670000e-03\n",
       "185 8.300000e-02 -7.270000e-04 7.270000e-04 -2.240000e-03 2.130000e-03\n",
       "186 7.470000e-02 -1.110000e-03 1.110000e-03 -4.630000e-03 3.560000e-03\n",
       "187 6.490000e-02 -1.600000e-03 1.600000e-03 -1.250000e-02 7.180000e-03\n",
       "188          NaN -3.500000e+02 3.500000e+02           NaN          NaN\n",
       "189          NaN           NaN          NaN           NaN          NaN\n",
       "190          NaN           NaN          NaN           NaN          NaN\n",
       "191 1.540000e-01 -3.460000e-03 3.460000e-03 -1.510000e-02 1.670000e-02\n",
       "192 1.340000e-01 -2.460000e-03 2.460000e-03 -1.500000e-02 1.480000e-02\n",
       "193 1.120000e-01 -1.450000e-03 1.450000e-03 -7.990000e-03 1.050000e-02\n",
       "194 9.730000e-02 -7.940000e-04 7.940000e-04 -4.060000e-03 8.860000e-03\n",
       "195 8.770000e-02 -5.930000e-04 5.930000e-04 -3.280000e-03 5.690000e-03\n",
       "196 8.010000e-02 -4.740000e-04 4.740000e-04 -4.790000e-03 4.050000e-03\n",
       "197 7.250000e-02 -3.920000e-04 3.920000e-04 -5.200000e-03 3.560000e-03\n",
       "198 6.690000e-02 -3.500000e-04 3.500000e-04 -6.070000e-03 4.460000e-03\n",
       "199 6.080000e-02 -3.300000e-04 3.300000e-04 -6.450000e-03 5.160000e-03\n",
       "200 5.680000e-02 -3.390000e-04 3.390000e-04 -6.850000e-03 5.350000e-03\n",
       "201 5.200000e-02 -3.650000e-04 3.650000e-04 -7.180000e-03 5.730000e-03\n",
       "202 4.750000e-02 -4.200000e-04 4.200000e-04 -6.850000e-03 5.610000e-03\n",
       "203 4.380000e-02 -5.140000e-04 5.140000e-04 -6.380000e-03 5.830000e-03\n",
       "204 4.080000e-02 -6.090000e-04 6.090000e-04 -5.740000e-03 7.430000e-03\n",
       "205 3.850000e-02 -7.400000e-04 7.400000e-04 -6.080000e-03 9.270000e-03\n",
       "206 3.130000e-02 -7.530000e-04 7.530000e-04 -5.880000e-03 8.600000e-03\n",
       "207          NaN -3.500000e+02 3.500000e+02           NaN          NaN\n",
       "208          NaN           NaN          NaN           NaN          NaN\n",
       "209          NaN           NaN          NaN           NaN          NaN\n",
       "210 2.230000e-02 -5.520000e-04 5.520000e-04 -3.880000e-03 4.060000e-03\n",
       "211 2.590000e-02 -4.030000e-04 4.030000e-04 -4.420000e-03 4.040000e-03\n",
       "212 3.080000e-02 -3.600000e-04 3.600000e-04 -5.130000e-03 4.390000e-03\n",
       "213 3.480000e-02 -3.330000e-04 3.330000e-04 -5.650000e-03 4.840000e-03\n",
       "214 3.780000e-02 -3.090000e-04 3.090000e-04 -5.520000e-03 4.780000e-03\n",
       "215 4.010000e-02 -2.960000e-04 2.960000e-04 -5.560000e-03 5.120000e-03\n",
       "216 4.150000e-02 -2.900000e-04 2.900000e-04 -5.370000e-03 5.240000e-03\n",
       "217 4.220000e-02 -3.010000e-04 3.010000e-04 -5.390000e-03 4.860000e-03\n",
       "218 4.180000e-02 -3.350000e-04 3.350000e-04 -5.630000e-03 5.130000e-03\n",
       "219 4.090000e-02 -3.980000e-04 3.980000e-04 -5.540000e-03 5.000000e-03\n",
       "220 4.030000e-02 -5.140000e-04 5.140000e-04 -5.230000e-03 5.040000e-03\n",
       "221 4.070000e-02 -6.520000e-04 6.520000e-04 -5.260000e-03 6.860000e-03\n",
       "222 4.120000e-02 -8.440000e-04 8.440000e-04 -6.820000e-03 1.060000e-02\n",
       "223 3.980000e-02 -1.120000e-03 1.120000e-03 -7.990000e-03 1.110000e-02"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dfe = dfn\n",
    "dfe['ystat-'] = -dfe['ystat']\n",
    "dfe['ysys-'] = -dfe['ysys-']\n",
    "\n",
    "dfe = dfe[['y', 'ystat-', 'ystat', 'ysys-', 'ysys+']]\n",
    "display(dfe)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6871c819",
   "metadata": {},
   "source": [
    "# Plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "35941a1b",
   "metadata": {},
   "outputs": [],
   "source": [
    "#fig, axs = plt.subplots(3, 2, figsize=(8,12), dpi=100)\n",
    "\n",
    "#for i in range(0,12):\n",
    "#    ax = plt.subplot(3,2,i%2+1);\n",
    "#    plt.plot(dfd[i], dfd[i+1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "bb8ad2a6",
   "metadata": {},
   "outputs": [],
   "source": [
    "dfn['ysys-'] = -dfn['ysys-']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "209060de",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.01, 0, '$\\\\pi^{-}+C \\\\rightarrow p^{-}+X$ @ 158 GeV')"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x1200 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs  = plt.subplots(3, 2, figsize=(8,12), dpi=100)\n",
    "fig.subplots_adjust(hspace=0.3, wspace=0.4)\n",
    "\n",
    "ax = plt.subplot(321)\n",
    "plt.errorbar(dfn.x[3:21], dfn.y[3:21], yerr=[dfn['ysys-'][3:21],dfn['ysys+'][3:21]], c='black', fmt='o', ms=3, ecolor='lightgrey', elinewidth=4)\n",
    "plt.errorbar(dfn.x[3:21], dfn.y[3:21], yerr=dfn.ystat[3:21], c='black', fmt='o', ms=3, ecolor='black')\n",
    "plt.xscale('log', base=10)\n",
    "plt.xlim(1,100)\n",
    "plt.ylim(0,1)\n",
    "plt.xlabel('p [GeV/c]')\n",
    "plt.ylabel(r'$p \\frac{dn}{dp}$')\n",
    "ax.text(0.01, 0, r'$\\pi^{-}+C \\rightarrow \\pi^{+}+X$ @ 158 GeV', transform=ax.transAxes, fontsize=10, va='bottom')\n",
    "\n",
    "ax1 = plt.subplot(322)\n",
    "plt.errorbar(dfn.x[25:42], dfn.y[25:42], yerr=[dfn['ysys-'][25:42], dfn['ysys+'][25:42]], c='black', fmt='o', ms=3, ecolor='lightgrey', elinewidth=4)\n",
    "plt.errorbar(dfn.x[25:42], dfn.y[25:42], yerr=dfn.ystat[25:42], c='black', fmt='o', ms=3, ecolor='black')\n",
    "plt.xscale('log', base=10)\n",
    "plt.xlim(1,100)\n",
    "plt.ylim(0,1)\n",
    "plt.xlabel('p [GeV/c]')\n",
    "plt.ylabel(r'$p \\frac{dn}{dp}$')\n",
    "ax1.text(0.01, 0, r'$\\pi^{-}+C \\rightarrow \\pi^{-}+X$ @ 158 GeV', transform=ax1.transAxes, fontsize=10, va='bottom')\n",
    "\n",
    "ax2 = plt.subplot(323)\n",
    "plt.errorbar(dfn.x[46:58], dfn.y[46:58], yerr=[dfn['ysys-'][46:58],dfn['ysys+'][46:58]], c='black', fmt='o', ms=3, ecolor='lightgrey', elinewidth=4)\n",
    "plt.errorbar(dfn.x[46:58], dfn.y[46:58], yerr=dfn.ystat[46:58], c='black', fmt='o', ms=3, ecolor='black')\n",
    "plt.xscale('log', base=10)\n",
    "plt.xlim(1,100)\n",
    "plt.ylim(0,0.1)\n",
    "plt.xlabel('p [GeV/c]')\n",
    "plt.ylabel(r'$p \\frac{dn}{dp}$')\n",
    "ax2.text(0.01, 0, r'$\\pi^{-}+C \\rightarrow K^{+}+X$ @ 158 GeV', transform=ax2.transAxes, fontsize=10, va='bottom')\n",
    "\n",
    "ax3 = plt.subplot(324)\n",
    "plt.errorbar(dfn.x[62:75], dfn.y[62:75], yerr=[dfn['ysys-'][62:75],dfn['ysys+'][62:75]], c='black', fmt='o', ms=3, ecolor='lightgrey', elinewidth=4)\n",
    "plt.errorbar(dfn.x[62:75], dfn.y[62:75], yerr=dfn.ystat[62:75], c='black', fmt='o', ms=3, ecolor='black')\n",
    "plt.xscale('log', base=10)\n",
    "plt.xlim(1,100)\n",
    "plt.ylim(0,0.1)\n",
    "plt.xlabel('p [GeV/c]')\n",
    "plt.ylabel(r'$p \\frac{dn}{dp}$')\n",
    "ax3.text(0.01, 0, r'$\\pi^{-}+C \\rightarrow K^{-}+X$ @ 158 GeV', transform=ax3.transAxes, fontsize=10, va='bottom')\n",
    "\n",
    "ax4 = plt.subplot(325)\n",
    "plt.errorbar(dfn.x[79:94], dfn.y[79:94], yerr=[dfn['ysys-'][79:94],dfn['ysys+'][79:94]], c='black', fmt='o', ms=3, ecolor='lightgrey', elinewidth=4)\n",
    "plt.errorbar(dfn.x[79:94], dfn.y[79:94], yerr=dfn.ystat[79:94], c='black', fmt='o', ms=3, ecolor='black')\n",
    "plt.xscale('log', base=10)\n",
    "plt.xlim(1,100)\n",
    "plt.ylim(0,0.2)\n",
    "plt.xlabel('p [GeV/c]')\n",
    "plt.ylabel(r'$p \\frac{dn}{dp}$')\n",
    "ax4.text(0.01, 0, r'$\\pi^{-}+C \\rightarrow p^{+}+X$ @ 158 GeV', transform=ax4.transAxes, fontsize=10, va='bottom')\n",
    "\n",
    "ax5 = plt.subplot(326)\n",
    "plt.errorbar(dfn.x[98:111], dfn.y[98:111], yerr=[dfn['ysys-'][98:111],dfn['ysys+'][98:111]], c='black', fmt='o', ms=3, ecolor='lightgrey', elinewidth=4)\n",
    "plt.errorbar(dfn.x[98:111], dfn.y[98:111], yerr=dfn.ystat[98:111], c='black', fmt='o', ms=3, ecolor='black')\n",
    "plt.xscale('log', base=10)\n",
    "plt.xlim(1,100)\n",
    "plt.ylim(0,0.05)\n",
    "plt.xlabel('p [GeV/c]')\n",
    "plt.ylabel(r'$p \\frac{dn}{dp}$')\n",
    "ax5.text(0.01, 0, r'$\\pi^{-}+C \\rightarrow p^{-}+X$ @ 158 GeV', transform=ax5.transAxes, fontsize=10, va='bottom')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "31244fb4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.01, 0, '$\\\\pi^{-}+C \\\\rightarrow p^{-}+X$ @ 350 GeV')"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x1200 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs  = plt.subplots(3, 2, figsize=(8,12), dpi=100)\n",
    "fig.subplots_adjust(hspace=0.3, wspace=0.4)\n",
    "\n",
    "ax = plt.subplot(321)\n",
    "plt.errorbar(dfn.x[115:133], dfn.y[115:133], yerr=[dfn['ysys-'][115:133], dfn['ysys+'][115:133]], c='black', fmt='o', ms=3, ecolor='lightgrey', elinewidth=4)\n",
    "plt.errorbar(dfn.x[115:133], dfn.y[115:133], yerr=dfn.ystat[115:133], c='black', fmt='o', ms=3, ecolor='black')\n",
    "plt.xscale('log', base=10)\n",
    "plt.xlim(1,100)\n",
    "plt.ylim(0,1.05)\n",
    "plt.xlabel('p [GeV/c]')\n",
    "plt.ylabel(r'$p \\frac{dn}{dp}$')\n",
    "ax.text(0.01, 0, r'$\\pi^{-}+C \\rightarrow \\pi^{+}+X$ @ 350 GeV', transform=ax.transAxes, fontsize=10, va='bottom')\n",
    "\n",
    "ax1 = plt.subplot(322)\n",
    "plt.errorbar(dfn.x[137:155], dfn.y[137:155], yerr=[dfn['ysys-'][137:155], dfn.yerrp[137:155]], c='black', fmt='o', ms=3, ecolor='lightgrey', elinewidth=4)\n",
    "plt.errorbar(dfn.x[137:155], dfn.y[137:155], yerr=dfn.ystat[137:155], c='black', fmt='o', ms=3, ecolor='black')\n",
    "plt.xscale('log', base=10)\n",
    "plt.xlim(1,100)\n",
    "plt.ylim(0,1.05)\n",
    "plt.xlabel('p [GeV/c]')\n",
    "plt.ylabel(r'$p \\frac{dn}{dp}$')\n",
    "ax1.text(0.01, 0, r'$\\pi^{-}+C \\rightarrow \\pi^{-}+X$ @ 350 GeV', transform=ax1.transAxes, fontsize=10, va='bottom')\n",
    "\n",
    "ax2 = plt.subplot(323)\n",
    "plt.errorbar(dfn.x[159:170], dfn.y[159:170], yerr=[dfn['ysys-'][159:170], dfn['ysys+'][159:170]], c='black', fmt='o', ms=3, ecolor='lightgrey', elinewidth=4)\n",
    "plt.errorbar(dfn.x[159:170], dfn.y[159:170], yerr=dfn.ystat[159:170], c='black', fmt='o', ms=3, ecolor='black')\n",
    "plt.xscale('log', base=10)\n",
    "plt.xlim(1,100)\n",
    "plt.ylim(0,0.12)\n",
    "plt.xlabel('p [GeV/c]')\n",
    "plt.ylabel(r'$p \\frac{dn}{dp}$')\n",
    "ax2.text(0.01, 0, r'$\\pi^{-}+C \\rightarrow K^{+}+X$ @ 350 GeV', transform=ax2.transAxes, fontsize=10, va='bottom')\n",
    "\n",
    "ax3 = plt.subplot(324)\n",
    "plt.errorbar(dfn.x[174:187], dfn.y[174:187], yerr=[dfn['ysys-'][174:187], dfn['ysys+'][174:187]], c='black', fmt='o', ms=3, ecolor='lightgrey', elinewidth=4)\n",
    "plt.errorbar(dfn.x[174:187], dfn.y[174:187], yerr=dfn.ystat[174:187], c='black', fmt='o', ms=3, ecolor='black')\n",
    "plt.xscale('log', base=10)\n",
    "plt.xlim(1,100)\n",
    "plt.ylim(0,0.12)\n",
    "plt.xlabel('p [GeV/c]')\n",
    "plt.ylabel(r'$p \\frac{dn}{dp}$')\n",
    "ax3.text(0.01, 0, r'$\\pi^{-}+C \\rightarrow K^{-}+X$ @ 350 GeV', transform=ax3.transAxes, fontsize=10, va='bottom')\n",
    "\n",
    "ax4 = plt.subplot(325)\n",
    "plt.errorbar(dfn.x[191:206], dfn.y[191:206], yerr=[dfn['ysys-'][191:206], dfn['ysys+'][191:206]], c='black', fmt='o', ms=3, ecolor='lightgrey', elinewidth=4)\n",
    "plt.errorbar(dfn.x[191:206], dfn.y[191:206], yerr=dfn.ystat[191:206], c='black', fmt='o', ms=3, ecolor='black')\n",
    "plt.xscale('log', base=10)\n",
    "plt.xlim(1,100)\n",
    "plt.ylim(0,0.2)\n",
    "plt.xlabel('p [GeV/c]')\n",
    "plt.ylabel(r'$p \\frac{dn}{dp}$')\n",
    "ax4.text(0.01, 0, r'$\\pi^{-}+C \\rightarrow p^{+}+X$ @ 350 GeV', transform=ax4.transAxes, fontsize=10, va='bottom')\n",
    "\n",
    "ax5 = plt.subplot(326)\n",
    "plt.errorbar(dfn.x[210:223], dfn.y[210:223], yerr=[dfn['ysys-'][210:223], dfn['ysys+'][210:223]], c='black', fmt='o', ms=3, ecolor='lightgrey', elinewidth=4)\n",
    "plt.errorbar(dfn.x[210:223], dfn.y[210:223], yerr=dfn.ystat[210:223], c='black', fmt='o', ms=3, ecolor='black')\n",
    "plt.xscale('log', base=10)\n",
    "plt.xlim(1,100)\n",
    "plt.ylim(0,0.05)\n",
    "plt.xlabel('p [GeV/c]')\n",
    "plt.ylabel(r'$p \\frac{dn}{dp}$')\n",
    "ax5.text(0.01, 0, r'$\\pi^{-}+C \\rightarrow p^{-}+X$ @ 350 GeV', transform=ax5.transAxes, fontsize=10, va='bottom')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "201df5de",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "celltoolbar": "Raw Cell Format",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}