tutorials/tutorial.ipynb

{
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   "source": [
    "# scona\n",
    "\n",
    "scona is a tool to perform network analysis over correlation networks of brain regions. \n",
    "This tutorial will go through the basic functionality of scona, taking us from our inputs (a matrix of structural regional measures over subjects) to a report of local network measures for each brain region, and network level comparisons to a cohort of random graphs of the same degree. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import networkx as nx\n",
    "import scona as scn\n",
    "import scona.datasets as datasets"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Importing data\n",
    "\n",
    "A scona analysis starts with four inputs.\n",
    "* __regional_measures__\n",
    "    A pandas DataFrame with subjects as rows. The columns should include structural measures for each brain region, as well as any subject-wise covariates. \n",
    "* __names__\n",
    "    A list of names of the brain regions. This will be used to specify which columns of the __regional_measures__ matrix to want to correlate over.\n",
    "* __covars__ _(optional)_ \n",
    "    A list of your covariates. This will be used to specify which columns of __regional_measure__ you wish to correct for. \n",
    "* __centroids__\n",
    "    A list of tuples representing the cartesian coordinates of brain regions. This list should be in the same order as the list of brain regions to accurately assign coordinates to regions. The coordinates are expected to obey the convention the the x=0 plane is the same plane that separates the left and right hemispheres of the brain. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Read in sample data from the NSPN WhitakerVertes PNAS 2016 paper.\n",
    "df, names, covars, centroids = datasets.NSPN_WhitakerVertes_PNAS2016.import_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
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   "outputs": [
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>nspn_id</th>\n",
       "      <th>occ</th>\n",
       "      <th>centre</th>\n",
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       "      <th>age_scan</th>\n",
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       "      <th>mri_centre</th>\n",
       "      <th>...</th>\n",
       "      <th>rh_supramarginal_part5</th>\n",
       "      <th>rh_supramarginal_part6</th>\n",
       "      <th>rh_supramarginal_part7</th>\n",
       "      <th>rh_frontalpole_part1</th>\n",
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       "      <th>rh_insula_part1</th>\n",
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       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "      <td>WBIC</td>\n",
       "      <td>...</td>\n",
       "      <td>2.592</td>\n",
       "      <td>2.841</td>\n",
       "      <td>2.318</td>\n",
       "      <td>2.486</td>\n",
       "      <td>3.526</td>\n",
       "      <td>2.638</td>\n",
       "      <td>3.308</td>\n",
       "      <td>2.583</td>\n",
       "      <td>3.188</td>\n",
       "      <td>3.089</td>\n",
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       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>10702</td>\n",
       "      <td>0</td>\n",
       "      <td>Cambridge</td>\n",
       "      <td>2K_Cohort</td>\n",
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       "      <td>1.0</td>\n",
       "      <td>2</td>\n",
       "      <td>WBIC</td>\n",
       "      <td>...</td>\n",
       "      <td>3.448</td>\n",
       "      <td>3.283</td>\n",
       "      <td>2.740</td>\n",
       "      <td>3.225</td>\n",
       "      <td>4.044</td>\n",
       "      <td>3.040</td>\n",
       "      <td>3.867</td>\n",
       "      <td>2.943</td>\n",
       "      <td>3.478</td>\n",
       "      <td>3.609</td>\n",
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       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>10736</td>\n",
       "      <td>0</td>\n",
       "      <td>Cambridge</td>\n",
       "      <td>2K_Cohort</td>\n",
       "      <td>14.897</td>\n",
       "      <td>Female</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1</td>\n",
       "      <td>WBIC</td>\n",
       "      <td>...</td>\n",
       "      <td>3.526</td>\n",
       "      <td>3.269</td>\n",
       "      <td>3.076</td>\n",
       "      <td>3.133</td>\n",
       "      <td>3.900</td>\n",
       "      <td>2.914</td>\n",
       "      <td>3.894</td>\n",
       "      <td>2.898</td>\n",
       "      <td>3.720</td>\n",
       "      <td>3.580</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>10778</td>\n",
       "      <td>0</td>\n",
       "      <td>Cambridge</td>\n",
       "      <td>2K_Cohort</td>\n",
       "      <td>20.022</td>\n",
       "      <td>Female</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "      <td>WBIC</td>\n",
       "      <td>...</td>\n",
       "      <td>2.830</td>\n",
       "      <td>2.917</td>\n",
       "      <td>2.647</td>\n",
       "      <td>2.796</td>\n",
       "      <td>3.401</td>\n",
       "      <td>3.045</td>\n",
       "      <td>3.138</td>\n",
       "      <td>2.739</td>\n",
       "      <td>2.833</td>\n",
       "      <td>3.349</td>\n",
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       "      <th>4</th>\n",
       "      <td>4</td>\n",
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       "      <td>Cambridge</td>\n",
       "      <td>2K_Cohort</td>\n",
       "      <td>14.656</td>\n",
       "      <td>Female</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1</td>\n",
       "      <td>WBIC</td>\n",
       "      <td>...</td>\n",
       "      <td>2.689</td>\n",
       "      <td>3.294</td>\n",
       "      <td>2.820</td>\n",
       "      <td>2.539</td>\n",
       "      <td>2.151</td>\n",
       "      <td>2.734</td>\n",
       "      <td>2.791</td>\n",
       "      <td>2.935</td>\n",
       "      <td>3.538</td>\n",
       "      <td>3.403</td>\n",
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       "<p>5 rows × 324 columns</p>\n",
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       "   Unnamed: 0  nspn_id  occ     centre study_primary  age_scan     sex  male  \\\n",
       "0           0    10356    0  Cambridge     2K_Cohort    20.761  Female   0.0   \n",
       "1           1    10702    0  Cambridge     2K_Cohort    16.055    Male   1.0   \n",
       "2           2    10736    0  Cambridge     2K_Cohort    14.897  Female   0.0   \n",
       "3           3    10778    0  Cambridge     2K_Cohort    20.022  Female   0.0   \n",
       "4           4    10794    0  Cambridge     2K_Cohort    14.656  Female   0.0   \n",
       "\n",
       "   age_bin mri_centre       ...         rh_supramarginal_part5  \\\n",
       "0        4       WBIC       ...                          2.592   \n",
       "1        2       WBIC       ...                          3.448   \n",
       "2        1       WBIC       ...                          3.526   \n",
       "3        4       WBIC       ...                          2.830   \n",
       "4        1       WBIC       ...                          2.689   \n",
       "\n",
       "   rh_supramarginal_part6  rh_supramarginal_part7  rh_frontalpole_part1  \\\n",
       "0                   2.841                   2.318                 2.486   \n",
       "1                   3.283                   2.740                 3.225   \n",
       "2                   3.269                   3.076                 3.133   \n",
       "3                   2.917                   2.647                 2.796   \n",
       "4                   3.294                   2.820                 2.539   \n",
       "\n",
       "   rh_temporalpole_part1  rh_transversetemporal_part1  rh_insula_part1  \\\n",
       "0                  3.526                        2.638            3.308   \n",
       "1                  4.044                        3.040            3.867   \n",
       "2                  3.900                        2.914            3.894   \n",
       "3                  3.401                        3.045            3.138   \n",
       "4                  2.151                        2.734            2.791   \n",
       "\n",
       "   rh_insula_part2  rh_insula_part3  rh_insula_part4  \n",
       "0            2.583            3.188            3.089  \n",
       "1            2.943            3.478            3.609  \n",
       "2            2.898            3.720            3.580  \n",
       "3            2.739            2.833            3.349  \n",
       "4            2.935            3.538            3.403  \n",
       "\n",
       "[5 rows x 324 columns]"
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   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Create a correlation matrix\n",
    "We calculate residuals of the matrix df for the columns of names, correcting for the columns in covars."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df_res = scn.create_residuals_df(df, names, covars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
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       "      <td>-0.252694</td>\n",
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       "      <td>-0.123926</td>\n",
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       "      <td>-0.143411</td>\n",
       "      <td>-0.103404</td>\n",
       "      <td>-0.321707</td>\n",
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       "      <td>0.697414</td>\n",
       "      <td>0.406114</td>\n",
       "      <td>0.445832</td>\n",
       "      <td>0.390306</td>\n",
       "      <td>0.326963</td>\n",
       "      <td>0.389508</td>\n",
       "      <td>0.340586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.434875</td>\n",
       "      <td>0.318074</td>\n",
       "      <td>0.04297</td>\n",
       "      <td>0.302391</td>\n",
       "      <td>0.374589</td>\n",
       "      <td>0.298596</td>\n",
       "      <td>0.237293</td>\n",
       "      <td>0.200781</td>\n",
       "      <td>0.09968</td>\n",
       "      <td>0.126859</td>\n",
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       "      <th>2</th>\n",
       "      <td>0.168323</td>\n",
       "      <td>0.081747</td>\n",
       "      <td>0.365892</td>\n",
       "      <td>0.412414</td>\n",
       "      <td>0.283114</td>\n",
       "      <td>0.187832</td>\n",
       "      <td>0.576306</td>\n",
       "      <td>-0.061037</td>\n",
       "      <td>-0.062492</td>\n",
       "      <td>0.374586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.512875</td>\n",
       "      <td>0.304074</td>\n",
       "      <td>0.37897</td>\n",
       "      <td>0.210391</td>\n",
       "      <td>0.230589</td>\n",
       "      <td>0.172596</td>\n",
       "      <td>0.264293</td>\n",
       "      <td>0.155781</td>\n",
       "      <td>0.34168</td>\n",
       "      <td>0.097859</td>\n",
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       "      <th>3</th>\n",
       "      <td>-0.086677</td>\n",
       "      <td>-0.249253</td>\n",
       "      <td>-0.404108</td>\n",
       "      <td>-0.362586</td>\n",
       "      <td>-0.046886</td>\n",
       "      <td>-0.154168</td>\n",
       "      <td>-0.156694</td>\n",
       "      <td>0.029963</td>\n",
       "      <td>-0.246492</td>\n",
       "      <td>-0.009414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.183125</td>\n",
       "      <td>-0.047926</td>\n",
       "      <td>-0.05003</td>\n",
       "      <td>-0.126609</td>\n",
       "      <td>-0.268411</td>\n",
       "      <td>0.303596</td>\n",
       "      <td>-0.491707</td>\n",
       "      <td>-0.003219</td>\n",
       "      <td>-0.54532</td>\n",
       "      <td>-0.133141</td>\n",
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       "      <th>4</th>\n",
       "      <td>0.400323</td>\n",
       "      <td>0.136747</td>\n",
       "      <td>0.125892</td>\n",
       "      <td>-0.218586</td>\n",
       "      <td>-1.003886</td>\n",
       "      <td>-0.142168</td>\n",
       "      <td>-0.752694</td>\n",
       "      <td>-0.091037</td>\n",
       "      <td>-0.550492</td>\n",
       "      <td>-1.223414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.324125</td>\n",
       "      <td>0.329074</td>\n",
       "      <td>0.12297</td>\n",
       "      <td>-0.383609</td>\n",
       "      <td>-1.518411</td>\n",
       "      <td>-0.007404</td>\n",
       "      <td>-0.838707</td>\n",
       "      <td>0.192781</td>\n",
       "      <td>0.15968</td>\n",
       "      <td>-0.079141</td>\n",
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       "      <td>0.010323</td>\n",
       "      <td>-0.090253</td>\n",
       "      <td>-0.248108</td>\n",
       "      <td>-0.131586</td>\n",
       "      <td>-0.080886</td>\n",
       "      <td>-0.110168</td>\n",
       "      <td>-0.142694</td>\n",
       "      <td>0.146963</td>\n",
       "      <td>-0.047492</td>\n",
       "      <td>0.155586</td>\n",
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       "      <td>-0.097125</td>\n",
       "      <td>-0.074926</td>\n",
       "      <td>-0.12803</td>\n",
       "      <td>-0.114609</td>\n",
       "      <td>-0.241411</td>\n",
       "      <td>0.209596</td>\n",
       "      <td>0.326293</td>\n",
       "      <td>0.082781</td>\n",
       "      <td>0.26868</td>\n",
       "      <td>0.099859</td>\n",
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       "      <td>-0.118677</td>\n",
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       "      <td>0.089892</td>\n",
       "      <td>0.047414</td>\n",
       "      <td>0.268114</td>\n",
       "      <td>0.017832</td>\n",
       "      <td>-0.037694</td>\n",
       "      <td>0.061963</td>\n",
       "      <td>0.028508</td>\n",
       "      <td>-0.214414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.080875</td>\n",
       "      <td>0.027074</td>\n",
       "      <td>0.00797</td>\n",
       "      <td>-0.067609</td>\n",
       "      <td>0.310589</td>\n",
       "      <td>-0.107404</td>\n",
       "      <td>-0.033707</td>\n",
       "      <td>-0.015219</td>\n",
       "      <td>-0.09132</td>\n",
       "      <td>0.048859</td>\n",
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       "      <td>0.068832</td>\n",
       "      <td>-0.017694</td>\n",
       "      <td>0.120963</td>\n",
       "      <td>0.095508</td>\n",
       "      <td>0.333586</td>\n",
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       "      <td>0.427875</td>\n",
       "      <td>0.134074</td>\n",
       "      <td>0.25697</td>\n",
       "      <td>-0.229609</td>\n",
       "      <td>-0.214411</td>\n",
       "      <td>0.329596</td>\n",
       "      <td>-0.355707</td>\n",
       "      <td>0.015781</td>\n",
       "      <td>-0.02732</td>\n",
       "      <td>-0.118141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.433323</td>\n",
       "      <td>0.037747</td>\n",
       "      <td>0.191892</td>\n",
       "      <td>0.103414</td>\n",
       "      <td>0.206114</td>\n",
       "      <td>-0.091168</td>\n",
       "      <td>0.210306</td>\n",
       "      <td>-0.105037</td>\n",
       "      <td>0.009508</td>\n",
       "      <td>0.388586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.103875</td>\n",
       "      <td>0.182074</td>\n",
       "      <td>0.31697</td>\n",
       "      <td>-0.083609</td>\n",
       "      <td>0.176589</td>\n",
       "      <td>0.062596</td>\n",
       "      <td>0.404293</td>\n",
       "      <td>0.024781</td>\n",
       "      <td>-0.05932</td>\n",
       "      <td>0.041859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.191323</td>\n",
       "      <td>0.081747</td>\n",
       "      <td>0.093892</td>\n",
       "      <td>0.100414</td>\n",
       "      <td>0.012114</td>\n",
       "      <td>0.180832</td>\n",
       "      <td>0.123306</td>\n",
       "      <td>-0.062037</td>\n",
       "      <td>-0.180492</td>\n",
       "      <td>-0.323414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.197125</td>\n",
       "      <td>-0.022926</td>\n",
       "      <td>-0.17103</td>\n",
       "      <td>0.527391</td>\n",
       "      <td>0.004589</td>\n",
       "      <td>0.123596</td>\n",
       "      <td>0.413293</td>\n",
       "      <td>-0.185219</td>\n",
       "      <td>-0.21632</td>\n",
       "      <td>0.065859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>-1.036677</td>\n",
       "      <td>-0.759253</td>\n",
       "      <td>-0.621108</td>\n",
       "      <td>0.058414</td>\n",
       "      <td>-0.298886</td>\n",
       "      <td>0.005832</td>\n",
       "      <td>-0.419694</td>\n",
       "      <td>0.348963</td>\n",
       "      <td>0.232508</td>\n",
       "      <td>-0.997414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.463125</td>\n",
       "      <td>0.153074</td>\n",
       "      <td>0.01097</td>\n",
       "      <td>-0.540609</td>\n",
       "      <td>-0.149411</td>\n",
       "      <td>0.290596</td>\n",
       "      <td>-0.078707</td>\n",
       "      <td>0.073781</td>\n",
       "      <td>0.30068</td>\n",
       "      <td>0.333859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.183323</td>\n",
       "      <td>0.155747</td>\n",
       "      <td>-0.100108</td>\n",
       "      <td>0.186414</td>\n",
       "      <td>-0.036886</td>\n",
       "      <td>0.206832</td>\n",
       "      <td>0.154306</td>\n",
       "      <td>0.020963</td>\n",
       "      <td>-0.053492</td>\n",
       "      <td>0.004586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.149875</td>\n",
       "      <td>-0.113926</td>\n",
       "      <td>-0.11203</td>\n",
       "      <td>0.015391</td>\n",
       "      <td>0.233589</td>\n",
       "      <td>0.134596</td>\n",
       "      <td>-0.206707</td>\n",
       "      <td>-0.039219</td>\n",
       "      <td>-0.35132</td>\n",
       "      <td>0.220859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>-0.058677</td>\n",
       "      <td>-0.222253</td>\n",
       "      <td>-0.230108</td>\n",
       "      <td>0.373414</td>\n",
       "      <td>0.219114</td>\n",
       "      <td>0.234832</td>\n",
       "      <td>0.018306</td>\n",
       "      <td>0.026963</td>\n",
       "      <td>0.090508</td>\n",
       "      <td>0.301586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.102875</td>\n",
       "      <td>0.059074</td>\n",
       "      <td>-0.05203</td>\n",
       "      <td>0.061391</td>\n",
       "      <td>-0.193411</td>\n",
       "      <td>0.127596</td>\n",
       "      <td>0.292293</td>\n",
       "      <td>-0.027219</td>\n",
       "      <td>0.22968</td>\n",
       "      <td>0.481859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.200323</td>\n",
       "      <td>-0.048253</td>\n",
       "      <td>0.032892</td>\n",
       "      <td>-0.106586</td>\n",
       "      <td>0.048114</td>\n",
       "      <td>-0.502168</td>\n",
       "      <td>-0.108694</td>\n",
       "      <td>0.127963</td>\n",
       "      <td>-0.104492</td>\n",
       "      <td>-0.043414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.634875</td>\n",
       "      <td>0.150074</td>\n",
       "      <td>0.30797</td>\n",
       "      <td>0.413391</td>\n",
       "      <td>-0.463411</td>\n",
       "      <td>0.388596</td>\n",
       "      <td>0.216293</td>\n",
       "      <td>0.074781</td>\n",
       "      <td>0.23568</td>\n",
       "      <td>0.192859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.221323</td>\n",
       "      <td>0.374747</td>\n",
       "      <td>0.107892</td>\n",
       "      <td>-0.115586</td>\n",
       "      <td>0.152114</td>\n",
       "      <td>-0.089168</td>\n",
       "      <td>0.032306</td>\n",
       "      <td>0.180963</td>\n",
       "      <td>0.287508</td>\n",
       "      <td>-0.422414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.086125</td>\n",
       "      <td>-0.217926</td>\n",
       "      <td>-0.06003</td>\n",
       "      <td>0.198391</td>\n",
       "      <td>0.171589</td>\n",
       "      <td>0.026596</td>\n",
       "      <td>0.124293</td>\n",
       "      <td>0.050781</td>\n",
       "      <td>-0.02332</td>\n",
       "      <td>-0.113141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.075323</td>\n",
       "      <td>-0.141253</td>\n",
       "      <td>-0.161108</td>\n",
       "      <td>0.162414</td>\n",
       "      <td>-0.100886</td>\n",
       "      <td>-0.026168</td>\n",
       "      <td>-0.145694</td>\n",
       "      <td>0.209963</td>\n",
       "      <td>-0.070492</td>\n",
       "      <td>-0.518414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.266875</td>\n",
       "      <td>0.019074</td>\n",
       "      <td>-0.21203</td>\n",
       "      <td>0.296391</td>\n",
       "      <td>-0.047411</td>\n",
       "      <td>-0.364404</td>\n",
       "      <td>-0.380707</td>\n",
       "      <td>0.210781</td>\n",
       "      <td>0.23068</td>\n",
       "      <td>0.030859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-0.047677</td>\n",
       "      <td>0.226747</td>\n",
       "      <td>-0.067108</td>\n",
       "      <td>0.019414</td>\n",
       "      <td>0.165114</td>\n",
       "      <td>-0.168168</td>\n",
       "      <td>-0.124694</td>\n",
       "      <td>-0.312037</td>\n",
       "      <td>-0.035492</td>\n",
       "      <td>0.112586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.056875</td>\n",
       "      <td>-0.091926</td>\n",
       "      <td>-0.03103</td>\n",
       "      <td>0.301391</td>\n",
       "      <td>0.392589</td>\n",
       "      <td>0.115596</td>\n",
       "      <td>0.027293</td>\n",
       "      <td>0.234781</td>\n",
       "      <td>0.11168</td>\n",
       "      <td>0.111859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.055323</td>\n",
       "      <td>-0.055253</td>\n",
       "      <td>0.164892</td>\n",
       "      <td>-0.322586</td>\n",
       "      <td>-0.029886</td>\n",
       "      <td>-0.139168</td>\n",
       "      <td>-0.103694</td>\n",
       "      <td>-0.004037</td>\n",
       "      <td>0.076508</td>\n",
       "      <td>0.069586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.157125</td>\n",
       "      <td>-0.117926</td>\n",
       "      <td>0.03697</td>\n",
       "      <td>-0.286609</td>\n",
       "      <td>0.243589</td>\n",
       "      <td>0.162596</td>\n",
       "      <td>0.045293</td>\n",
       "      <td>0.148781</td>\n",
       "      <td>0.22168</td>\n",
       "      <td>0.050859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>-0.327677</td>\n",
       "      <td>0.128747</td>\n",
       "      <td>-0.260108</td>\n",
       "      <td>0.251414</td>\n",
       "      <td>-0.100886</td>\n",
       "      <td>0.145832</td>\n",
       "      <td>-0.091694</td>\n",
       "      <td>0.002963</td>\n",
       "      <td>0.038508</td>\n",
       "      <td>0.231586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.261875</td>\n",
       "      <td>0.341074</td>\n",
       "      <td>0.20797</td>\n",
       "      <td>0.031391</td>\n",
       "      <td>0.052589</td>\n",
       "      <td>-0.204404</td>\n",
       "      <td>0.224293</td>\n",
       "      <td>-0.111219</td>\n",
       "      <td>-0.08532</td>\n",
       "      <td>0.079859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>-0.012677</td>\n",
       "      <td>-0.090253</td>\n",
       "      <td>0.499892</td>\n",
       "      <td>-0.071586</td>\n",
       "      <td>0.111114</td>\n",
       "      <td>0.023832</td>\n",
       "      <td>0.103306</td>\n",
       "      <td>-0.278037</td>\n",
       "      <td>0.053508</td>\n",
       "      <td>0.236586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.003125</td>\n",
       "      <td>0.033074</td>\n",
       "      <td>-0.08003</td>\n",
       "      <td>-0.083609</td>\n",
       "      <td>0.069589</td>\n",
       "      <td>0.085596</td>\n",
       "      <td>0.416293</td>\n",
       "      <td>-0.049219</td>\n",
       "      <td>0.27268</td>\n",
       "      <td>0.344859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.052323</td>\n",
       "      <td>-0.096253</td>\n",
       "      <td>0.879892</td>\n",
       "      <td>-0.218586</td>\n",
       "      <td>-0.087886</td>\n",
       "      <td>-0.296168</td>\n",
       "      <td>-0.231694</td>\n",
       "      <td>-0.080037</td>\n",
       "      <td>-0.212492</td>\n",
       "      <td>-0.596414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.255875</td>\n",
       "      <td>-0.167926</td>\n",
       "      <td>-0.18103</td>\n",
       "      <td>0.095391</td>\n",
       "      <td>-0.579411</td>\n",
       "      <td>-0.360404</td>\n",
       "      <td>0.013293</td>\n",
       "      <td>-0.129219</td>\n",
       "      <td>-0.25632</td>\n",
       "      <td>0.101859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>-0.028677</td>\n",
       "      <td>-0.236253</td>\n",
       "      <td>-0.091108</td>\n",
       "      <td>-0.280586</td>\n",
       "      <td>-0.182886</td>\n",
       "      <td>-0.320168</td>\n",
       "      <td>0.036306</td>\n",
       "      <td>0.103963</td>\n",
       "      <td>0.198508</td>\n",
       "      <td>-0.637414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.242125</td>\n",
       "      <td>-0.060926</td>\n",
       "      <td>-0.35703</td>\n",
       "      <td>-0.273609</td>\n",
       "      <td>-0.645411</td>\n",
       "      <td>-0.026404</td>\n",
       "      <td>-0.240707</td>\n",
       "      <td>0.046781</td>\n",
       "      <td>0.16268</td>\n",
       "      <td>0.029859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0.235323</td>\n",
       "      <td>0.102747</td>\n",
       "      <td>0.235892</td>\n",
       "      <td>0.103414</td>\n",
       "      <td>0.131114</td>\n",
       "      <td>-0.083168</td>\n",
       "      <td>0.164306</td>\n",
       "      <td>0.311963</td>\n",
       "      <td>0.240508</td>\n",
       "      <td>-0.716414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.374875</td>\n",
       "      <td>0.073074</td>\n",
       "      <td>-0.16303</td>\n",
       "      <td>0.303391</td>\n",
       "      <td>0.011589</td>\n",
       "      <td>0.207596</td>\n",
       "      <td>0.238293</td>\n",
       "      <td>0.056781</td>\n",
       "      <td>-0.27732</td>\n",
       "      <td>0.288859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0.120323</td>\n",
       "      <td>0.066747</td>\n",
       "      <td>-0.144108</td>\n",
       "      <td>0.195414</td>\n",
       "      <td>0.097114</td>\n",
       "      <td>0.122832</td>\n",
       "      <td>0.139306</td>\n",
       "      <td>0.166963</td>\n",
       "      <td>0.033508</td>\n",
       "      <td>0.176586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.321875</td>\n",
       "      <td>0.009074</td>\n",
       "      <td>-0.23003</td>\n",
       "      <td>0.320391</td>\n",
       "      <td>0.749589</td>\n",
       "      <td>0.300596</td>\n",
       "      <td>0.069293</td>\n",
       "      <td>0.103781</td>\n",
       "      <td>0.02568</td>\n",
       "      <td>-0.048141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0.084323</td>\n",
       "      <td>0.094747</td>\n",
       "      <td>-0.203108</td>\n",
       "      <td>-0.025586</td>\n",
       "      <td>-0.042886</td>\n",
       "      <td>0.127832</td>\n",
       "      <td>0.332306</td>\n",
       "      <td>0.005963</td>\n",
       "      <td>0.178508</td>\n",
       "      <td>-0.394414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.356875</td>\n",
       "      <td>0.079074</td>\n",
       "      <td>0.10597</td>\n",
       "      <td>0.071391</td>\n",
       "      <td>-1.264411</td>\n",
       "      <td>0.001596</td>\n",
       "      <td>-0.204707</td>\n",
       "      <td>-0.084219</td>\n",
       "      <td>-0.05932</td>\n",
       "      <td>-0.320141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0.098323</td>\n",
       "      <td>0.030747</td>\n",
       "      <td>0.304892</td>\n",
       "      <td>0.160414</td>\n",
       "      <td>0.197114</td>\n",
       "      <td>0.275832</td>\n",
       "      <td>0.115306</td>\n",
       "      <td>0.185963</td>\n",
       "      <td>0.222508</td>\n",
       "      <td>0.053586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.141125</td>\n",
       "      <td>0.200074</td>\n",
       "      <td>-0.05003</td>\n",
       "      <td>0.162391</td>\n",
       "      <td>0.155589</td>\n",
       "      <td>-0.153404</td>\n",
       "      <td>0.403293</td>\n",
       "      <td>0.026781</td>\n",
       "      <td>0.33068</td>\n",
       "      <td>0.282859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0.024323</td>\n",
       "      <td>-0.112253</td>\n",
       "      <td>0.335892</td>\n",
       "      <td>0.332414</td>\n",
       "      <td>0.285114</td>\n",
       "      <td>0.348832</td>\n",
       "      <td>0.333306</td>\n",
       "      <td>0.214963</td>\n",
       "      <td>0.120508</td>\n",
       "      <td>0.118586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.263875</td>\n",
       "      <td>0.127074</td>\n",
       "      <td>0.17397</td>\n",
       "      <td>0.191391</td>\n",
       "      <td>0.249589</td>\n",
       "      <td>0.214596</td>\n",
       "      <td>0.029293</td>\n",
       "      <td>0.233781</td>\n",
       "      <td>0.14168</td>\n",
       "      <td>0.342859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>0.215323</td>\n",
       "      <td>-0.008253</td>\n",
       "      <td>-0.041108</td>\n",
       "      <td>0.083414</td>\n",
       "      <td>0.159114</td>\n",
       "      <td>-0.089168</td>\n",
       "      <td>0.300306</td>\n",
       "      <td>0.156963</td>\n",
       "      <td>0.088508</td>\n",
       "      <td>0.425586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.098125</td>\n",
       "      <td>0.280074</td>\n",
       "      <td>0.28197</td>\n",
       "      <td>0.000391</td>\n",
       "      <td>0.808589</td>\n",
       "      <td>0.006596</td>\n",
       "      <td>-0.036707</td>\n",
       "      <td>0.331781</td>\n",
       "      <td>0.16468</td>\n",
       "      <td>-0.137141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>-0.170677</td>\n",
       "      <td>-0.324253</td>\n",
       "      <td>-0.035108</td>\n",
       "      <td>-0.098586</td>\n",
       "      <td>-0.178886</td>\n",
       "      <td>0.071832</td>\n",
       "      <td>-0.251694</td>\n",
       "      <td>-0.172037</td>\n",
       "      <td>-0.109492</td>\n",
       "      <td>0.553586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.119125</td>\n",
       "      <td>0.094074</td>\n",
       "      <td>0.13297</td>\n",
       "      <td>-0.610609</td>\n",
       "      <td>-0.063411</td>\n",
       "      <td>0.001596</td>\n",
       "      <td>0.141293</td>\n",
       "      <td>0.106781</td>\n",
       "      <td>0.47968</td>\n",
       "      <td>0.154859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>-0.102677</td>\n",
       "      <td>-0.035253</td>\n",
       "      <td>-0.117108</td>\n",
       "      <td>0.318414</td>\n",
       "      <td>0.114114</td>\n",
       "      <td>0.035832</td>\n",
       "      <td>0.131306</td>\n",
       "      <td>-0.108037</td>\n",
       "      <td>0.029508</td>\n",
       "      <td>0.241586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.008875</td>\n",
       "      <td>-0.023926</td>\n",
       "      <td>-0.34803</td>\n",
       "      <td>-0.158609</td>\n",
       "      <td>0.240589</td>\n",
       "      <td>-0.392404</td>\n",
       "      <td>0.222293</td>\n",
       "      <td>-0.063219</td>\n",
       "      <td>-0.24132</td>\n",
       "      <td>-0.042141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>267</th>\n",
       "      <td>-0.604677</td>\n",
       "      <td>-0.283253</td>\n",
       "      <td>-0.478108</td>\n",
       "      <td>-0.215586</td>\n",
       "      <td>-0.244886</td>\n",
       "      <td>-0.302168</td>\n",
       "      <td>-0.239694</td>\n",
       "      <td>-0.234037</td>\n",
       "      <td>-0.143492</td>\n",
       "      <td>-0.014414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.118125</td>\n",
       "      <td>-0.104926</td>\n",
       "      <td>-0.22403</td>\n",
       "      <td>-0.305609</td>\n",
       "      <td>-0.048411</td>\n",
       "      <td>-0.260404</td>\n",
       "      <td>-0.130707</td>\n",
       "      <td>-0.320219</td>\n",
       "      <td>-0.17832</td>\n",
       "      <td>-0.153141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>268</th>\n",
       "      <td>-0.090677</td>\n",
       "      <td>-0.174253</td>\n",
       "      <td>-0.005108</td>\n",
       "      <td>-0.201586</td>\n",
       "      <td>-0.215886</td>\n",
       "      <td>-0.309168</td>\n",
       "      <td>-0.170694</td>\n",
       "      <td>-0.136037</td>\n",
       "      <td>-0.316492</td>\n",
       "      <td>-0.344414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.110875</td>\n",
       "      <td>-0.069926</td>\n",
       "      <td>-0.21103</td>\n",
       "      <td>-0.029609</td>\n",
       "      <td>-0.027411</td>\n",
       "      <td>-0.401404</td>\n",
       "      <td>-0.151707</td>\n",
       "      <td>0.014781</td>\n",
       "      <td>0.04168</td>\n",
       "      <td>-0.192141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>269</th>\n",
       "      <td>-0.357677</td>\n",
       "      <td>-0.119253</td>\n",
       "      <td>0.010892</td>\n",
       "      <td>-0.054586</td>\n",
       "      <td>0.006114</td>\n",
       "      <td>0.097832</td>\n",
       "      <td>-0.164694</td>\n",
       "      <td>-0.214037</td>\n",
       "      <td>-0.363492</td>\n",
       "      <td>0.059586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.299125</td>\n",
       "      <td>-0.240926</td>\n",
       "      <td>-0.48403</td>\n",
       "      <td>-0.392609</td>\n",
       "      <td>-0.081411</td>\n",
       "      <td>-0.217404</td>\n",
       "      <td>-0.334707</td>\n",
       "      <td>-0.190219</td>\n",
       "      <td>0.18768</td>\n",
       "      <td>0.153859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>270</th>\n",
       "      <td>0.166323</td>\n",
       "      <td>0.225747</td>\n",
       "      <td>0.357892</td>\n",
       "      <td>0.109414</td>\n",
       "      <td>-0.017886</td>\n",
       "      <td>0.109832</td>\n",
       "      <td>0.233306</td>\n",
       "      <td>-0.187037</td>\n",
       "      <td>-0.090492</td>\n",
       "      <td>-0.414414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.089875</td>\n",
       "      <td>-0.149926</td>\n",
       "      <td>0.09397</td>\n",
       "      <td>0.096391</td>\n",
       "      <td>-0.332411</td>\n",
       "      <td>-0.022404</td>\n",
       "      <td>0.040293</td>\n",
       "      <td>0.066781</td>\n",
       "      <td>0.14768</td>\n",
       "      <td>0.005859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>271</th>\n",
       "      <td>-0.056677</td>\n",
       "      <td>0.032747</td>\n",
       "      <td>0.074892</td>\n",
       "      <td>-0.072586</td>\n",
       "      <td>0.140114</td>\n",
       "      <td>0.023832</td>\n",
       "      <td>0.040306</td>\n",
       "      <td>-0.314037</td>\n",
       "      <td>-0.106492</td>\n",
       "      <td>-0.014414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.155125</td>\n",
       "      <td>-0.173926</td>\n",
       "      <td>-0.16003</td>\n",
       "      <td>0.053391</td>\n",
       "      <td>0.091589</td>\n",
       "      <td>0.107596</td>\n",
       "      <td>0.312293</td>\n",
       "      <td>0.226781</td>\n",
       "      <td>-0.02432</td>\n",
       "      <td>-0.068141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>272</th>\n",
       "      <td>-0.159677</td>\n",
       "      <td>-0.130253</td>\n",
       "      <td>-0.410108</td>\n",
       "      <td>-0.154586</td>\n",
       "      <td>-0.204886</td>\n",
       "      <td>-0.074168</td>\n",
       "      <td>-0.299694</td>\n",
       "      <td>-0.113037</td>\n",
       "      <td>-0.417492</td>\n",
       "      <td>0.117586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.390125</td>\n",
       "      <td>-0.220926</td>\n",
       "      <td>-0.15603</td>\n",
       "      <td>-0.479609</td>\n",
       "      <td>-0.070411</td>\n",
       "      <td>-0.258404</td>\n",
       "      <td>-0.035707</td>\n",
       "      <td>-0.082219</td>\n",
       "      <td>-0.24732</td>\n",
       "      <td>-0.106141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>273</th>\n",
       "      <td>-0.044677</td>\n",
       "      <td>-0.066253</td>\n",
       "      <td>-0.054108</td>\n",
       "      <td>0.289414</td>\n",
       "      <td>0.055114</td>\n",
       "      <td>0.143832</td>\n",
       "      <td>0.033306</td>\n",
       "      <td>-0.118037</td>\n",
       "      <td>-0.057492</td>\n",
       "      <td>-0.447414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.160125</td>\n",
       "      <td>-0.059926</td>\n",
       "      <td>-0.21903</td>\n",
       "      <td>-0.042609</td>\n",
       "      <td>-0.973411</td>\n",
       "      <td>-0.063404</td>\n",
       "      <td>-0.117707</td>\n",
       "      <td>0.005781</td>\n",
       "      <td>0.16668</td>\n",
       "      <td>-0.132141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>274</th>\n",
       "      <td>0.591323</td>\n",
       "      <td>0.204747</td>\n",
       "      <td>0.964892</td>\n",
       "      <td>0.083414</td>\n",
       "      <td>0.247114</td>\n",
       "      <td>0.060832</td>\n",
       "      <td>0.243306</td>\n",
       "      <td>0.269963</td>\n",
       "      <td>0.017508</td>\n",
       "      <td>-0.211414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.078875</td>\n",
       "      <td>-0.030926</td>\n",
       "      <td>-0.10203</td>\n",
       "      <td>-0.002609</td>\n",
       "      <td>0.377589</td>\n",
       "      <td>0.035596</td>\n",
       "      <td>-0.297707</td>\n",
       "      <td>0.018781</td>\n",
       "      <td>-0.00032</td>\n",
       "      <td>0.275859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>275</th>\n",
       "      <td>0.290323</td>\n",
       "      <td>0.104747</td>\n",
       "      <td>0.129892</td>\n",
       "      <td>-0.112586</td>\n",
       "      <td>0.008114</td>\n",
       "      <td>0.015832</td>\n",
       "      <td>0.017306</td>\n",
       "      <td>0.164963</td>\n",
       "      <td>0.092508</td>\n",
       "      <td>0.136586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.151875</td>\n",
       "      <td>-0.044926</td>\n",
       "      <td>0.03697</td>\n",
       "      <td>-0.131609</td>\n",
       "      <td>0.205589</td>\n",
       "      <td>0.024596</td>\n",
       "      <td>0.012293</td>\n",
       "      <td>-0.011219</td>\n",
       "      <td>-0.04732</td>\n",
       "      <td>0.044859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>276</th>\n",
       "      <td>-0.197677</td>\n",
       "      <td>-0.123253</td>\n",
       "      <td>-0.140108</td>\n",
       "      <td>-0.063586</td>\n",
       "      <td>-0.268886</td>\n",
       "      <td>-0.137168</td>\n",
       "      <td>-0.176694</td>\n",
       "      <td>-0.029037</td>\n",
       "      <td>-0.158492</td>\n",
       "      <td>-1.103414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.183125</td>\n",
       "      <td>-0.317926</td>\n",
       "      <td>-0.23103</td>\n",
       "      <td>-0.011609</td>\n",
       "      <td>-0.146411</td>\n",
       "      <td>-0.106404</td>\n",
       "      <td>-0.307707</td>\n",
       "      <td>-0.149219</td>\n",
       "      <td>-0.46132</td>\n",
       "      <td>-0.449141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>277</th>\n",
       "      <td>-0.115677</td>\n",
       "      <td>-0.187253</td>\n",
       "      <td>-0.163108</td>\n",
       "      <td>0.037414</td>\n",
       "      <td>-0.177886</td>\n",
       "      <td>0.092832</td>\n",
       "      <td>-0.158694</td>\n",
       "      <td>0.042963</td>\n",
       "      <td>-0.052492</td>\n",
       "      <td>0.311586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.040125</td>\n",
       "      <td>-0.144926</td>\n",
       "      <td>0.04497</td>\n",
       "      <td>-0.074609</td>\n",
       "      <td>0.241589</td>\n",
       "      <td>-0.098404</td>\n",
       "      <td>0.155293</td>\n",
       "      <td>-0.269219</td>\n",
       "      <td>-0.11532</td>\n",
       "      <td>0.224859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>278</th>\n",
       "      <td>-0.020677</td>\n",
       "      <td>0.037747</td>\n",
       "      <td>0.184892</td>\n",
       "      <td>-0.231586</td>\n",
       "      <td>0.115114</td>\n",
       "      <td>-0.216168</td>\n",
       "      <td>0.078306</td>\n",
       "      <td>-0.119037</td>\n",
       "      <td>0.026508</td>\n",
       "      <td>0.500586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.208875</td>\n",
       "      <td>-0.269926</td>\n",
       "      <td>-0.07503</td>\n",
       "      <td>0.109391</td>\n",
       "      <td>0.752589</td>\n",
       "      <td>-0.303404</td>\n",
       "      <td>-0.075707</td>\n",
       "      <td>-0.149219</td>\n",
       "      <td>-0.27532</td>\n",
       "      <td>-0.155141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>279</th>\n",
       "      <td>-0.197677</td>\n",
       "      <td>-0.128253</td>\n",
       "      <td>-0.123108</td>\n",
       "      <td>0.221414</td>\n",
       "      <td>0.141114</td>\n",
       "      <td>-0.052168</td>\n",
       "      <td>0.001306</td>\n",
       "      <td>-0.256037</td>\n",
       "      <td>-0.088492</td>\n",
       "      <td>-0.018414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.179125</td>\n",
       "      <td>0.056074</td>\n",
       "      <td>-0.25603</td>\n",
       "      <td>-0.312609</td>\n",
       "      <td>0.540589</td>\n",
       "      <td>-0.281404</td>\n",
       "      <td>0.288293</td>\n",
       "      <td>-0.092219</td>\n",
       "      <td>-0.17332</td>\n",
       "      <td>0.202859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>280</th>\n",
       "      <td>0.040323</td>\n",
       "      <td>0.115747</td>\n",
       "      <td>-0.322108</td>\n",
       "      <td>-0.163586</td>\n",
       "      <td>0.034114</td>\n",
       "      <td>-0.075168</td>\n",
       "      <td>-0.051694</td>\n",
       "      <td>-0.072037</td>\n",
       "      <td>0.161508</td>\n",
       "      <td>-0.070414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.193875</td>\n",
       "      <td>-0.043926</td>\n",
       "      <td>-0.00603</td>\n",
       "      <td>-0.025609</td>\n",
       "      <td>0.129589</td>\n",
       "      <td>0.148596</td>\n",
       "      <td>-0.181707</td>\n",
       "      <td>-0.166219</td>\n",
       "      <td>0.11968</td>\n",
       "      <td>0.239859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>281</th>\n",
       "      <td>-0.081677</td>\n",
       "      <td>-0.254253</td>\n",
       "      <td>-0.144108</td>\n",
       "      <td>-0.035586</td>\n",
       "      <td>-0.221886</td>\n",
       "      <td>0.103832</td>\n",
       "      <td>-0.140694</td>\n",
       "      <td>-0.201037</td>\n",
       "      <td>-0.285492</td>\n",
       "      <td>-0.566414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.021875</td>\n",
       "      <td>-0.259926</td>\n",
       "      <td>-0.06303</td>\n",
       "      <td>-0.563609</td>\n",
       "      <td>-0.486411</td>\n",
       "      <td>-0.403404</td>\n",
       "      <td>0.208293</td>\n",
       "      <td>-0.200219</td>\n",
       "      <td>-0.38132</td>\n",
       "      <td>-0.004141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>282</th>\n",
       "      <td>0.304323</td>\n",
       "      <td>0.275747</td>\n",
       "      <td>0.050892</td>\n",
       "      <td>0.406414</td>\n",
       "      <td>-0.260886</td>\n",
       "      <td>0.197832</td>\n",
       "      <td>-0.060694</td>\n",
       "      <td>0.071963</td>\n",
       "      <td>0.272508</td>\n",
       "      <td>0.086586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.065125</td>\n",
       "      <td>-0.018926</td>\n",
       "      <td>-0.05403</td>\n",
       "      <td>-0.079609</td>\n",
       "      <td>-0.345411</td>\n",
       "      <td>0.003596</td>\n",
       "      <td>0.190293</td>\n",
       "      <td>0.157781</td>\n",
       "      <td>-0.07332</td>\n",
       "      <td>-0.016141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>283</th>\n",
       "      <td>-0.305677</td>\n",
       "      <td>-0.238253</td>\n",
       "      <td>-0.178108</td>\n",
       "      <td>-0.360586</td>\n",
       "      <td>-0.077886</td>\n",
       "      <td>-0.201168</td>\n",
       "      <td>-0.061694</td>\n",
       "      <td>-0.185037</td>\n",
       "      <td>-0.128492</td>\n",
       "      <td>-0.393414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.182875</td>\n",
       "      <td>0.455074</td>\n",
       "      <td>0.07497</td>\n",
       "      <td>-0.132609</td>\n",
       "      <td>-0.289411</td>\n",
       "      <td>-0.127404</td>\n",
       "      <td>0.108293</td>\n",
       "      <td>-0.408219</td>\n",
       "      <td>-0.02232</td>\n",
       "      <td>-0.117141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>284</th>\n",
       "      <td>-0.027677</td>\n",
       "      <td>-0.158253</td>\n",
       "      <td>0.325892</td>\n",
       "      <td>-0.156586</td>\n",
       "      <td>-0.180886</td>\n",
       "      <td>-0.258168</td>\n",
       "      <td>-0.495694</td>\n",
       "      <td>-0.088037</td>\n",
       "      <td>-0.003492</td>\n",
       "      <td>-0.279414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.426125</td>\n",
       "      <td>-0.618926</td>\n",
       "      <td>-0.58403</td>\n",
       "      <td>-0.095609</td>\n",
       "      <td>0.234589</td>\n",
       "      <td>0.208596</td>\n",
       "      <td>-0.040707</td>\n",
       "      <td>-0.310219</td>\n",
       "      <td>0.08468</td>\n",
       "      <td>-0.363141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>285</th>\n",
       "      <td>-0.216677</td>\n",
       "      <td>-0.194253</td>\n",
       "      <td>-0.189108</td>\n",
       "      <td>-0.320586</td>\n",
       "      <td>-0.349886</td>\n",
       "      <td>-0.364168</td>\n",
       "      <td>-0.040694</td>\n",
       "      <td>-0.165037</td>\n",
       "      <td>-0.418492</td>\n",
       "      <td>-0.879414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.286875</td>\n",
       "      <td>0.135074</td>\n",
       "      <td>-0.15703</td>\n",
       "      <td>-0.095609</td>\n",
       "      <td>-0.683411</td>\n",
       "      <td>0.179596</td>\n",
       "      <td>-0.602707</td>\n",
       "      <td>-0.162219</td>\n",
       "      <td>-0.05432</td>\n",
       "      <td>-0.057141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>286</th>\n",
       "      <td>-0.073677</td>\n",
       "      <td>-0.038253</td>\n",
       "      <td>0.199892</td>\n",
       "      <td>0.169414</td>\n",
       "      <td>0.149114</td>\n",
       "      <td>-0.143168</td>\n",
       "      <td>-0.025694</td>\n",
       "      <td>-0.127037</td>\n",
       "      <td>0.317508</td>\n",
       "      <td>-0.432414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.125875</td>\n",
       "      <td>-0.206926</td>\n",
       "      <td>-0.10503</td>\n",
       "      <td>-0.109609</td>\n",
       "      <td>-0.489411</td>\n",
       "      <td>0.110596</td>\n",
       "      <td>0.186293</td>\n",
       "      <td>-0.040219</td>\n",
       "      <td>-0.09332</td>\n",
       "      <td>0.113859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>287</th>\n",
       "      <td>0.136323</td>\n",
       "      <td>-0.043253</td>\n",
       "      <td>-0.317108</td>\n",
       "      <td>-0.010586</td>\n",
       "      <td>-0.026886</td>\n",
       "      <td>-0.001168</td>\n",
       "      <td>0.083306</td>\n",
       "      <td>-0.012037</td>\n",
       "      <td>-0.007492</td>\n",
       "      <td>-0.286414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.049875</td>\n",
       "      <td>0.157074</td>\n",
       "      <td>-0.14303</td>\n",
       "      <td>0.171391</td>\n",
       "      <td>0.224589</td>\n",
       "      <td>-0.221404</td>\n",
       "      <td>0.475293</td>\n",
       "      <td>-0.159219</td>\n",
       "      <td>-0.05332</td>\n",
       "      <td>-0.012141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>288</th>\n",
       "      <td>-0.147677</td>\n",
       "      <td>-0.059253</td>\n",
       "      <td>0.028892</td>\n",
       "      <td>-0.108586</td>\n",
       "      <td>-0.090886</td>\n",
       "      <td>0.235832</td>\n",
       "      <td>-0.101694</td>\n",
       "      <td>0.177963</td>\n",
       "      <td>0.338508</td>\n",
       "      <td>0.024586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.163125</td>\n",
       "      <td>0.239074</td>\n",
       "      <td>-0.00603</td>\n",
       "      <td>0.187391</td>\n",
       "      <td>0.066589</td>\n",
       "      <td>0.212596</td>\n",
       "      <td>-0.525707</td>\n",
       "      <td>0.003781</td>\n",
       "      <td>0.26568</td>\n",
       "      <td>-0.061141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>289</th>\n",
       "      <td>-0.209677</td>\n",
       "      <td>0.044747</td>\n",
       "      <td>0.043892</td>\n",
       "      <td>-0.130586</td>\n",
       "      <td>-0.178886</td>\n",
       "      <td>-0.134168</td>\n",
       "      <td>-0.152694</td>\n",
       "      <td>-0.034037</td>\n",
       "      <td>-0.011492</td>\n",
       "      <td>0.174586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.039875</td>\n",
       "      <td>-0.199926</td>\n",
       "      <td>-0.02903</td>\n",
       "      <td>-0.080609</td>\n",
       "      <td>0.426589</td>\n",
       "      <td>-0.293404</td>\n",
       "      <td>-0.201707</td>\n",
       "      <td>-0.118219</td>\n",
       "      <td>-0.17732</td>\n",
       "      <td>-0.079141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>290</th>\n",
       "      <td>-0.403677</td>\n",
       "      <td>0.044747</td>\n",
       "      <td>-0.360108</td>\n",
       "      <td>-0.476586</td>\n",
       "      <td>-0.218886</td>\n",
       "      <td>-0.099168</td>\n",
       "      <td>0.142306</td>\n",
       "      <td>-0.432037</td>\n",
       "      <td>-0.274492</td>\n",
       "      <td>0.156586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.027125</td>\n",
       "      <td>-0.110926</td>\n",
       "      <td>-0.17803</td>\n",
       "      <td>0.067391</td>\n",
       "      <td>0.109589</td>\n",
       "      <td>-0.089404</td>\n",
       "      <td>-0.283707</td>\n",
       "      <td>-0.212219</td>\n",
       "      <td>-0.07232</td>\n",
       "      <td>0.050859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>291</th>\n",
       "      <td>-0.053677</td>\n",
       "      <td>-0.079253</td>\n",
       "      <td>0.122892</td>\n",
       "      <td>0.079414</td>\n",
       "      <td>-0.123886</td>\n",
       "      <td>0.224832</td>\n",
       "      <td>0.018306</td>\n",
       "      <td>0.144963</td>\n",
       "      <td>0.000508</td>\n",
       "      <td>0.409586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.114125</td>\n",
       "      <td>0.290074</td>\n",
       "      <td>-0.06003</td>\n",
       "      <td>-0.331609</td>\n",
       "      <td>0.194589</td>\n",
       "      <td>0.309596</td>\n",
       "      <td>-0.296707</td>\n",
       "      <td>0.559781</td>\n",
       "      <td>0.36268</td>\n",
       "      <td>-0.069141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>292</th>\n",
       "      <td>-0.065677</td>\n",
       "      <td>-0.112253</td>\n",
       "      <td>-0.013108</td>\n",
       "      <td>-0.233586</td>\n",
       "      <td>0.178114</td>\n",
       "      <td>-0.049168</td>\n",
       "      <td>-0.103694</td>\n",
       "      <td>0.024963</td>\n",
       "      <td>0.088508</td>\n",
       "      <td>-0.169414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.417125</td>\n",
       "      <td>-0.198926</td>\n",
       "      <td>0.01897</td>\n",
       "      <td>0.430391</td>\n",
       "      <td>0.005589</td>\n",
       "      <td>0.126596</td>\n",
       "      <td>0.327293</td>\n",
       "      <td>0.250781</td>\n",
       "      <td>0.18468</td>\n",
       "      <td>0.247859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>293</th>\n",
       "      <td>0.014323</td>\n",
       "      <td>0.237747</td>\n",
       "      <td>-0.093108</td>\n",
       "      <td>0.100414</td>\n",
       "      <td>0.068114</td>\n",
       "      <td>-0.174168</td>\n",
       "      <td>-0.113694</td>\n",
       "      <td>0.013963</td>\n",
       "      <td>0.121508</td>\n",
       "      <td>-0.030414</td>\n",
       "      <td>...</td>\n",
       "      <td>0.227875</td>\n",
       "      <td>-0.383926</td>\n",
       "      <td>-0.02703</td>\n",
       "      <td>0.099391</td>\n",
       "      <td>-0.410411</td>\n",
       "      <td>-0.010404</td>\n",
       "      <td>-0.075707</td>\n",
       "      <td>0.181781</td>\n",
       "      <td>0.29768</td>\n",
       "      <td>0.126859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>294</th>\n",
       "      <td>0.066323</td>\n",
       "      <td>0.071747</td>\n",
       "      <td>-0.301108</td>\n",
       "      <td>-0.021586</td>\n",
       "      <td>0.082114</td>\n",
       "      <td>-0.131168</td>\n",
       "      <td>-0.339694</td>\n",
       "      <td>-0.174037</td>\n",
       "      <td>-0.332492</td>\n",
       "      <td>0.478586</td>\n",
       "      <td>...</td>\n",
       "      <td>0.329875</td>\n",
       "      <td>0.022074</td>\n",
       "      <td>0.23197</td>\n",
       "      <td>-0.335609</td>\n",
       "      <td>0.068589</td>\n",
       "      <td>-0.007404</td>\n",
       "      <td>0.165293</td>\n",
       "      <td>0.018781</td>\n",
       "      <td>-0.20932</td>\n",
       "      <td>0.309859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>295</th>\n",
       "      <td>0.053323</td>\n",
       "      <td>-0.269253</td>\n",
       "      <td>0.174892</td>\n",
       "      <td>-0.041586</td>\n",
       "      <td>-0.318886</td>\n",
       "      <td>-0.093168</td>\n",
       "      <td>-0.199694</td>\n",
       "      <td>0.185963</td>\n",
       "      <td>-0.272492</td>\n",
       "      <td>0.304586</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.215125</td>\n",
       "      <td>-0.466926</td>\n",
       "      <td>0.03697</td>\n",
       "      <td>0.109391</td>\n",
       "      <td>-0.486411</td>\n",
       "      <td>-0.272404</td>\n",
       "      <td>-0.329707</td>\n",
       "      <td>-0.204219</td>\n",
       "      <td>0.12468</td>\n",
       "      <td>-0.165141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>296</th>\n",
       "      <td>-0.206677</td>\n",
       "      <td>0.044747</td>\n",
       "      <td>0.205892</td>\n",
       "      <td>-0.159586</td>\n",
       "      <td>0.087114</td>\n",
       "      <td>-0.107168</td>\n",
       "      <td>-0.191694</td>\n",
       "      <td>0.220963</td>\n",
       "      <td>-0.106492</td>\n",
       "      <td>-0.066414</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.022125</td>\n",
       "      <td>0.280074</td>\n",
       "      <td>0.14397</td>\n",
       "      <td>0.225391</td>\n",
       "      <td>0.312589</td>\n",
       "      <td>0.366596</td>\n",
       "      <td>0.028293</td>\n",
       "      <td>0.178781</td>\n",
       "      <td>0.47468</td>\n",
       "      <td>-0.205141</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>297 rows × 308 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     lh_bankssts_part1  lh_bankssts_part2  lh_caudalanteriorcingulate_part1  \\\n",
       "0            -0.016677          -0.036253                          0.035892   \n",
       "1             0.280323           0.354747                          0.482892   \n",
       "2             0.168323           0.081747                          0.365892   \n",
       "3            -0.086677          -0.249253                         -0.404108   \n",
       "4             0.400323           0.136747                          0.125892   \n",
       "5             0.010323          -0.090253                         -0.248108   \n",
       "6            -0.118677           0.133747                          0.089892   \n",
       "7             0.106323           0.043747                          0.355892   \n",
       "8             0.433323           0.037747                          0.191892   \n",
       "9             0.191323           0.081747                          0.093892   \n",
       "10           -1.036677          -0.759253                         -0.621108   \n",
       "11            0.183323           0.155747                         -0.100108   \n",
       "12           -0.058677          -0.222253                         -0.230108   \n",
       "13            0.200323          -0.048253                          0.032892   \n",
       "14            0.221323           0.374747                          0.107892   \n",
       "15            0.075323          -0.141253                         -0.161108   \n",
       "16           -0.047677           0.226747                         -0.067108   \n",
       "17            0.055323          -0.055253                          0.164892   \n",
       "18           -0.327677           0.128747                         -0.260108   \n",
       "19           -0.012677          -0.090253                          0.499892   \n",
       "20            0.052323          -0.096253                          0.879892   \n",
       "21           -0.028677          -0.236253                         -0.091108   \n",
       "22            0.235323           0.102747                          0.235892   \n",
       "23            0.120323           0.066747                         -0.144108   \n",
       "24            0.084323           0.094747                         -0.203108   \n",
       "25            0.098323           0.030747                          0.304892   \n",
       "26            0.024323          -0.112253                          0.335892   \n",
       "27            0.215323          -0.008253                         -0.041108   \n",
       "28           -0.170677          -0.324253                         -0.035108   \n",
       "29           -0.102677          -0.035253                         -0.117108   \n",
       "..                 ...                ...                               ...   \n",
       "267          -0.604677          -0.283253                         -0.478108   \n",
       "268          -0.090677          -0.174253                         -0.005108   \n",
       "269          -0.357677          -0.119253                          0.010892   \n",
       "270           0.166323           0.225747                          0.357892   \n",
       "271          -0.056677           0.032747                          0.074892   \n",
       "272          -0.159677          -0.130253                         -0.410108   \n",
       "273          -0.044677          -0.066253                         -0.054108   \n",
       "274           0.591323           0.204747                          0.964892   \n",
       "275           0.290323           0.104747                          0.129892   \n",
       "276          -0.197677          -0.123253                         -0.140108   \n",
       "277          -0.115677          -0.187253                         -0.163108   \n",
       "278          -0.020677           0.037747                          0.184892   \n",
       "279          -0.197677          -0.128253                         -0.123108   \n",
       "280           0.040323           0.115747                         -0.322108   \n",
       "281          -0.081677          -0.254253                         -0.144108   \n",
       "282           0.304323           0.275747                          0.050892   \n",
       "283          -0.305677          -0.238253                         -0.178108   \n",
       "284          -0.027677          -0.158253                          0.325892   \n",
       "285          -0.216677          -0.194253                         -0.189108   \n",
       "286          -0.073677          -0.038253                          0.199892   \n",
       "287           0.136323          -0.043253                         -0.317108   \n",
       "288          -0.147677          -0.059253                          0.028892   \n",
       "289          -0.209677           0.044747                          0.043892   \n",
       "290          -0.403677           0.044747                         -0.360108   \n",
       "291          -0.053677          -0.079253                          0.122892   \n",
       "292          -0.065677          -0.112253                         -0.013108   \n",
       "293           0.014323           0.237747                         -0.093108   \n",
       "294           0.066323           0.071747                         -0.301108   \n",
       "295           0.053323          -0.269253                          0.174892   \n",
       "296          -0.206677           0.044747                          0.205892   \n",
       "\n",
       "     lh_caudalmiddlefrontal_part1  lh_caudalmiddlefrontal_part2  \\\n",
       "0                       -0.004586                      0.040114   \n",
       "1                        0.697414                      0.406114   \n",
       "2                        0.412414                      0.283114   \n",
       "3                       -0.362586                     -0.046886   \n",
       "4                       -0.218586                     -1.003886   \n",
       "5                       -0.131586                     -0.080886   \n",
       "6                        0.047414                      0.268114   \n",
       "7                        0.174414                      0.249114   \n",
       "8                        0.103414                      0.206114   \n",
       "9                        0.100414                      0.012114   \n",
       "10                       0.058414                     -0.298886   \n",
       "11                       0.186414                     -0.036886   \n",
       "12                       0.373414                      0.219114   \n",
       "13                      -0.106586                      0.048114   \n",
       "14                      -0.115586                      0.152114   \n",
       "15                       0.162414                     -0.100886   \n",
       "16                       0.019414                      0.165114   \n",
       "17                      -0.322586                     -0.029886   \n",
       "18                       0.251414                     -0.100886   \n",
       "19                      -0.071586                      0.111114   \n",
       "20                      -0.218586                     -0.087886   \n",
       "21                      -0.280586                     -0.182886   \n",
       "22                       0.103414                      0.131114   \n",
       "23                       0.195414                      0.097114   \n",
       "24                      -0.025586                     -0.042886   \n",
       "25                       0.160414                      0.197114   \n",
       "26                       0.332414                      0.285114   \n",
       "27                       0.083414                      0.159114   \n",
       "28                      -0.098586                     -0.178886   \n",
       "29                       0.318414                      0.114114   \n",
       "..                            ...                           ...   \n",
       "267                     -0.215586                     -0.244886   \n",
       "268                     -0.201586                     -0.215886   \n",
       "269                     -0.054586                      0.006114   \n",
       "270                      0.109414                     -0.017886   \n",
       "271                     -0.072586                      0.140114   \n",
       "272                     -0.154586                     -0.204886   \n",
       "273                      0.289414                      0.055114   \n",
       "274                      0.083414                      0.247114   \n",
       "275                     -0.112586                      0.008114   \n",
       "276                     -0.063586                     -0.268886   \n",
       "277                      0.037414                     -0.177886   \n",
       "278                     -0.231586                      0.115114   \n",
       "279                      0.221414                      0.141114   \n",
       "280                     -0.163586                      0.034114   \n",
       "281                     -0.035586                     -0.221886   \n",
       "282                      0.406414                     -0.260886   \n",
       "283                     -0.360586                     -0.077886   \n",
       "284                     -0.156586                     -0.180886   \n",
       "285                     -0.320586                     -0.349886   \n",
       "286                      0.169414                      0.149114   \n",
       "287                     -0.010586                     -0.026886   \n",
       "288                     -0.108586                     -0.090886   \n",
       "289                     -0.130586                     -0.178886   \n",
       "290                     -0.476586                     -0.218886   \n",
       "291                      0.079414                     -0.123886   \n",
       "292                     -0.233586                      0.178114   \n",
       "293                      0.100414                      0.068114   \n",
       "294                     -0.021586                      0.082114   \n",
       "295                     -0.041586                     -0.318886   \n",
       "296                     -0.159586                      0.087114   \n",
       "\n",
       "     lh_caudalmiddlefrontal_part3  lh_caudalmiddlefrontal_part4  \\\n",
       "0                       -0.005168                     -0.252694   \n",
       "1                        0.445832                      0.390306   \n",
       "2                        0.187832                      0.576306   \n",
       "3                       -0.154168                     -0.156694   \n",
       "4                       -0.142168                     -0.752694   \n",
       "5                       -0.110168                     -0.142694   \n",
       "6                        0.017832                     -0.037694   \n",
       "7                        0.068832                     -0.017694   \n",
       "8                       -0.091168                      0.210306   \n",
       "9                        0.180832                      0.123306   \n",
       "10                       0.005832                     -0.419694   \n",
       "11                       0.206832                      0.154306   \n",
       "12                       0.234832                      0.018306   \n",
       "13                      -0.502168                     -0.108694   \n",
       "14                      -0.089168                      0.032306   \n",
       "15                      -0.026168                     -0.145694   \n",
       "16                      -0.168168                     -0.124694   \n",
       "17                      -0.139168                     -0.103694   \n",
       "18                       0.145832                     -0.091694   \n",
       "19                       0.023832                      0.103306   \n",
       "20                      -0.296168                     -0.231694   \n",
       "21                      -0.320168                      0.036306   \n",
       "22                      -0.083168                      0.164306   \n",
       "23                       0.122832                      0.139306   \n",
       "24                       0.127832                      0.332306   \n",
       "25                       0.275832                      0.115306   \n",
       "26                       0.348832                      0.333306   \n",
       "27                      -0.089168                      0.300306   \n",
       "28                       0.071832                     -0.251694   \n",
       "29                       0.035832                      0.131306   \n",
       "..                            ...                           ...   \n",
       "267                     -0.302168                     -0.239694   \n",
       "268                     -0.309168                     -0.170694   \n",
       "269                      0.097832                     -0.164694   \n",
       "270                      0.109832                      0.233306   \n",
       "271                      0.023832                      0.040306   \n",
       "272                     -0.074168                     -0.299694   \n",
       "273                      0.143832                      0.033306   \n",
       "274                      0.060832                      0.243306   \n",
       "275                      0.015832                      0.017306   \n",
       "276                     -0.137168                     -0.176694   \n",
       "277                      0.092832                     -0.158694   \n",
       "278                     -0.216168                      0.078306   \n",
       "279                     -0.052168                      0.001306   \n",
       "280                     -0.075168                     -0.051694   \n",
       "281                      0.103832                     -0.140694   \n",
       "282                      0.197832                     -0.060694   \n",
       "283                     -0.201168                     -0.061694   \n",
       "284                     -0.258168                     -0.495694   \n",
       "285                     -0.364168                     -0.040694   \n",
       "286                     -0.143168                     -0.025694   \n",
       "287                     -0.001168                      0.083306   \n",
       "288                      0.235832                     -0.101694   \n",
       "289                     -0.134168                     -0.152694   \n",
       "290                     -0.099168                      0.142306   \n",
       "291                      0.224832                      0.018306   \n",
       "292                     -0.049168                     -0.103694   \n",
       "293                     -0.174168                     -0.113694   \n",
       "294                     -0.131168                     -0.339694   \n",
       "295                     -0.093168                     -0.199694   \n",
       "296                     -0.107168                     -0.191694   \n",
       "\n",
       "     lh_cuneus_part1  lh_cuneus_part2  lh_entorhinal_part1       ...         \\\n",
       "0          -0.170037        -0.192492            -0.119414       ...          \n",
       "1           0.326963         0.389508             0.340586       ...          \n",
       "2          -0.061037        -0.062492             0.374586       ...          \n",
       "3           0.029963        -0.246492            -0.009414       ...          \n",
       "4          -0.091037        -0.550492            -1.223414       ...          \n",
       "5           0.146963        -0.047492             0.155586       ...          \n",
       "6           0.061963         0.028508            -0.214414       ...          \n",
       "7           0.120963         0.095508             0.333586       ...          \n",
       "8          -0.105037         0.009508             0.388586       ...          \n",
       "9          -0.062037        -0.180492            -0.323414       ...          \n",
       "10          0.348963         0.232508            -0.997414       ...          \n",
       "11          0.020963        -0.053492             0.004586       ...          \n",
       "12          0.026963         0.090508             0.301586       ...          \n",
       "13          0.127963        -0.104492            -0.043414       ...          \n",
       "14          0.180963         0.287508            -0.422414       ...          \n",
       "15          0.209963        -0.070492            -0.518414       ...          \n",
       "16         -0.312037        -0.035492             0.112586       ...          \n",
       "17         -0.004037         0.076508             0.069586       ...          \n",
       "18          0.002963         0.038508             0.231586       ...          \n",
       "19         -0.278037         0.053508             0.236586       ...          \n",
       "20         -0.080037        -0.212492            -0.596414       ...          \n",
       "21          0.103963         0.198508            -0.637414       ...          \n",
       "22          0.311963         0.240508            -0.716414       ...          \n",
       "23          0.166963         0.033508             0.176586       ...          \n",
       "24          0.005963         0.178508            -0.394414       ...          \n",
       "25          0.185963         0.222508             0.053586       ...          \n",
       "26          0.214963         0.120508             0.118586       ...          \n",
       "27          0.156963         0.088508             0.425586       ...          \n",
       "28         -0.172037        -0.109492             0.553586       ...          \n",
       "29         -0.108037         0.029508             0.241586       ...          \n",
       "..               ...              ...                  ...       ...          \n",
       "267        -0.234037        -0.143492            -0.014414       ...          \n",
       "268        -0.136037        -0.316492            -0.344414       ...          \n",
       "269        -0.214037        -0.363492             0.059586       ...          \n",
       "270        -0.187037        -0.090492            -0.414414       ...          \n",
       "271        -0.314037        -0.106492            -0.014414       ...          \n",
       "272        -0.113037        -0.417492             0.117586       ...          \n",
       "273        -0.118037        -0.057492            -0.447414       ...          \n",
       "274         0.269963         0.017508            -0.211414       ...          \n",
       "275         0.164963         0.092508             0.136586       ...          \n",
       "276        -0.029037        -0.158492            -1.103414       ...          \n",
       "277         0.042963        -0.052492             0.311586       ...          \n",
       "278        -0.119037         0.026508             0.500586       ...          \n",
       "279        -0.256037        -0.088492            -0.018414       ...          \n",
       "280        -0.072037         0.161508            -0.070414       ...          \n",
       "281        -0.201037        -0.285492            -0.566414       ...          \n",
       "282         0.071963         0.272508             0.086586       ...          \n",
       "283        -0.185037        -0.128492            -0.393414       ...          \n",
       "284        -0.088037        -0.003492            -0.279414       ...          \n",
       "285        -0.165037        -0.418492            -0.879414       ...          \n",
       "286        -0.127037         0.317508            -0.432414       ...          \n",
       "287        -0.012037        -0.007492            -0.286414       ...          \n",
       "288         0.177963         0.338508             0.024586       ...          \n",
       "289        -0.034037        -0.011492             0.174586       ...          \n",
       "290        -0.432037        -0.274492             0.156586       ...          \n",
       "291         0.144963         0.000508             0.409586       ...          \n",
       "292         0.024963         0.088508            -0.169414       ...          \n",
       "293         0.013963         0.121508            -0.030414       ...          \n",
       "294        -0.174037        -0.332492             0.478586       ...          \n",
       "295         0.185963        -0.272492             0.304586       ...          \n",
       "296         0.220963        -0.106492            -0.066414       ...          \n",
       "\n",
       "     rh_supramarginal_part5  rh_supramarginal_part6  rh_supramarginal_part7  \\\n",
       "0                 -0.421125               -0.123926                -0.37903   \n",
       "1                  0.434875                0.318074                 0.04297   \n",
       "2                  0.512875                0.304074                 0.37897   \n",
       "3                 -0.183125               -0.047926                -0.05003   \n",
       "4                 -0.324125                0.329074                 0.12297   \n",
       "5                 -0.097125               -0.074926                -0.12803   \n",
       "6                  0.080875                0.027074                 0.00797   \n",
       "7                  0.427875                0.134074                 0.25697   \n",
       "8                  0.103875                0.182074                 0.31697   \n",
       "9                 -0.197125               -0.022926                -0.17103   \n",
       "10                -0.463125                0.153074                 0.01097   \n",
       "11                 0.149875               -0.113926                -0.11203   \n",
       "12                 0.102875                0.059074                -0.05203   \n",
       "13                 0.634875                0.150074                 0.30797   \n",
       "14                -0.086125               -0.217926                -0.06003   \n",
       "15                 0.266875                0.019074                -0.21203   \n",
       "16                 0.056875               -0.091926                -0.03103   \n",
       "17                -0.157125               -0.117926                 0.03697   \n",
       "18                 0.261875                0.341074                 0.20797   \n",
       "19                -0.003125                0.033074                -0.08003   \n",
       "20                 0.255875               -0.167926                -0.18103   \n",
       "21                -0.242125               -0.060926                -0.35703   \n",
       "22                 0.374875                0.073074                -0.16303   \n",
       "23                 0.321875                0.009074                -0.23003   \n",
       "24                 0.356875                0.079074                 0.10597   \n",
       "25                -0.141125                0.200074                -0.05003   \n",
       "26                 0.263875                0.127074                 0.17397   \n",
       "27                -0.098125                0.280074                 0.28197   \n",
       "28                -0.119125                0.094074                 0.13297   \n",
       "29                 0.008875               -0.023926                -0.34803   \n",
       "..                      ...                     ...                     ...   \n",
       "267               -0.118125               -0.104926                -0.22403   \n",
       "268                0.110875               -0.069926                -0.21103   \n",
       "269               -0.299125               -0.240926                -0.48403   \n",
       "270                0.089875               -0.149926                 0.09397   \n",
       "271               -0.155125               -0.173926                -0.16003   \n",
       "272               -0.390125               -0.220926                -0.15603   \n",
       "273               -0.160125               -0.059926                -0.21903   \n",
       "274                0.078875               -0.030926                -0.10203   \n",
       "275                0.151875               -0.044926                 0.03697   \n",
       "276               -0.183125               -0.317926                -0.23103   \n",
       "277               -0.040125               -0.144926                 0.04497   \n",
       "278                0.208875               -0.269926                -0.07503   \n",
       "279               -0.179125                0.056074                -0.25603   \n",
       "280                0.193875               -0.043926                -0.00603   \n",
       "281                0.021875               -0.259926                -0.06303   \n",
       "282               -0.065125               -0.018926                -0.05403   \n",
       "283                0.182875                0.455074                 0.07497   \n",
       "284               -0.426125               -0.618926                -0.58403   \n",
       "285                0.286875                0.135074                -0.15703   \n",
       "286                0.125875               -0.206926                -0.10503   \n",
       "287                0.049875                0.157074                -0.14303   \n",
       "288               -0.163125                0.239074                -0.00603   \n",
       "289                0.039875               -0.199926                -0.02903   \n",
       "290               -0.027125               -0.110926                -0.17803   \n",
       "291               -0.114125                0.290074                -0.06003   \n",
       "292               -0.417125               -0.198926                 0.01897   \n",
       "293                0.227875               -0.383926                -0.02703   \n",
       "294                0.329875                0.022074                 0.23197   \n",
       "295               -0.215125               -0.466926                 0.03697   \n",
       "296               -0.022125                0.280074                 0.14397   \n",
       "\n",
       "     rh_frontalpole_part1  rh_temporalpole_part1  rh_transversetemporal_part1  \\\n",
       "0               -0.436609              -0.143411                    -0.103404   \n",
       "1                0.302391               0.374589                     0.298596   \n",
       "2                0.210391               0.230589                     0.172596   \n",
       "3               -0.126609              -0.268411                     0.303596   \n",
       "4               -0.383609              -1.518411                    -0.007404   \n",
       "5               -0.114609              -0.241411                     0.209596   \n",
       "6               -0.067609               0.310589                    -0.107404   \n",
       "7               -0.229609              -0.214411                     0.329596   \n",
       "8               -0.083609               0.176589                     0.062596   \n",
       "9                0.527391               0.004589                     0.123596   \n",
       "10              -0.540609              -0.149411                     0.290596   \n",
       "11               0.015391               0.233589                     0.134596   \n",
       "12               0.061391              -0.193411                     0.127596   \n",
       "13               0.413391              -0.463411                     0.388596   \n",
       "14               0.198391               0.171589                     0.026596   \n",
       "15               0.296391              -0.047411                    -0.364404   \n",
       "16               0.301391               0.392589                     0.115596   \n",
       "17              -0.286609               0.243589                     0.162596   \n",
       "18               0.031391               0.052589                    -0.204404   \n",
       "19              -0.083609               0.069589                     0.085596   \n",
       "20               0.095391              -0.579411                    -0.360404   \n",
       "21              -0.273609              -0.645411                    -0.026404   \n",
       "22               0.303391               0.011589                     0.207596   \n",
       "23               0.320391               0.749589                     0.300596   \n",
       "24               0.071391              -1.264411                     0.001596   \n",
       "25               0.162391               0.155589                    -0.153404   \n",
       "26               0.191391               0.249589                     0.214596   \n",
       "27               0.000391               0.808589                     0.006596   \n",
       "28              -0.610609              -0.063411                     0.001596   \n",
       "29              -0.158609               0.240589                    -0.392404   \n",
       "..                    ...                    ...                          ...   \n",
       "267             -0.305609              -0.048411                    -0.260404   \n",
       "268             -0.029609              -0.027411                    -0.401404   \n",
       "269             -0.392609              -0.081411                    -0.217404   \n",
       "270              0.096391              -0.332411                    -0.022404   \n",
       "271              0.053391               0.091589                     0.107596   \n",
       "272             -0.479609              -0.070411                    -0.258404   \n",
       "273             -0.042609              -0.973411                    -0.063404   \n",
       "274             -0.002609               0.377589                     0.035596   \n",
       "275             -0.131609               0.205589                     0.024596   \n",
       "276             -0.011609              -0.146411                    -0.106404   \n",
       "277             -0.074609               0.241589                    -0.098404   \n",
       "278              0.109391               0.752589                    -0.303404   \n",
       "279             -0.312609               0.540589                    -0.281404   \n",
       "280             -0.025609               0.129589                     0.148596   \n",
       "281             -0.563609              -0.486411                    -0.403404   \n",
       "282             -0.079609              -0.345411                     0.003596   \n",
       "283             -0.132609              -0.289411                    -0.127404   \n",
       "284             -0.095609               0.234589                     0.208596   \n",
       "285             -0.095609              -0.683411                     0.179596   \n",
       "286             -0.109609              -0.489411                     0.110596   \n",
       "287              0.171391               0.224589                    -0.221404   \n",
       "288              0.187391               0.066589                     0.212596   \n",
       "289             -0.080609               0.426589                    -0.293404   \n",
       "290              0.067391               0.109589                    -0.089404   \n",
       "291             -0.331609               0.194589                     0.309596   \n",
       "292              0.430391               0.005589                     0.126596   \n",
       "293              0.099391              -0.410411                    -0.010404   \n",
       "294             -0.335609               0.068589                    -0.007404   \n",
       "295              0.109391              -0.486411                    -0.272404   \n",
       "296              0.225391               0.312589                     0.366596   \n",
       "\n",
       "     rh_insula_part1  rh_insula_part2  rh_insula_part3  rh_insula_part4  \n",
       "0          -0.321707        -0.159219         -0.19032        -0.393141  \n",
       "1           0.237293         0.200781          0.09968         0.126859  \n",
       "2           0.264293         0.155781          0.34168         0.097859  \n",
       "3          -0.491707        -0.003219         -0.54532        -0.133141  \n",
       "4          -0.838707         0.192781          0.15968        -0.079141  \n",
       "5           0.326293         0.082781          0.26868         0.099859  \n",
       "6          -0.033707        -0.015219         -0.09132         0.048859  \n",
       "7          -0.355707         0.015781         -0.02732        -0.118141  \n",
       "8           0.404293         0.024781         -0.05932         0.041859  \n",
       "9           0.413293        -0.185219         -0.21632         0.065859  \n",
       "10         -0.078707         0.073781          0.30068         0.333859  \n",
       "11         -0.206707        -0.039219         -0.35132         0.220859  \n",
       "12          0.292293        -0.027219          0.22968         0.481859  \n",
       "13          0.216293         0.074781          0.23568         0.192859  \n",
       "14          0.124293         0.050781         -0.02332        -0.113141  \n",
       "15         -0.380707         0.210781          0.23068         0.030859  \n",
       "16          0.027293         0.234781          0.11168         0.111859  \n",
       "17          0.045293         0.148781          0.22168         0.050859  \n",
       "18          0.224293        -0.111219         -0.08532         0.079859  \n",
       "19          0.416293        -0.049219          0.27268         0.344859  \n",
       "20          0.013293        -0.129219         -0.25632         0.101859  \n",
       "21         -0.240707         0.046781          0.16268         0.029859  \n",
       "22          0.238293         0.056781         -0.27732         0.288859  \n",
       "23          0.069293         0.103781          0.02568        -0.048141  \n",
       "24         -0.204707        -0.084219         -0.05932        -0.320141  \n",
       "25          0.403293         0.026781          0.33068         0.282859  \n",
       "26          0.029293         0.233781          0.14168         0.342859  \n",
       "27         -0.036707         0.331781          0.16468        -0.137141  \n",
       "28          0.141293         0.106781          0.47968         0.154859  \n",
       "29          0.222293        -0.063219         -0.24132        -0.042141  \n",
       "..               ...              ...              ...              ...  \n",
       "267        -0.130707        -0.320219         -0.17832        -0.153141  \n",
       "268        -0.151707         0.014781          0.04168        -0.192141  \n",
       "269        -0.334707        -0.190219          0.18768         0.153859  \n",
       "270         0.040293         0.066781          0.14768         0.005859  \n",
       "271         0.312293         0.226781         -0.02432        -0.068141  \n",
       "272        -0.035707        -0.082219         -0.24732        -0.106141  \n",
       "273        -0.117707         0.005781          0.16668        -0.132141  \n",
       "274        -0.297707         0.018781         -0.00032         0.275859  \n",
       "275         0.012293        -0.011219         -0.04732         0.044859  \n",
       "276        -0.307707        -0.149219         -0.46132        -0.449141  \n",
       "277         0.155293        -0.269219         -0.11532         0.224859  \n",
       "278        -0.075707        -0.149219         -0.27532        -0.155141  \n",
       "279         0.288293        -0.092219         -0.17332         0.202859  \n",
       "280        -0.181707        -0.166219          0.11968         0.239859  \n",
       "281         0.208293        -0.200219         -0.38132        -0.004141  \n",
       "282         0.190293         0.157781         -0.07332        -0.016141  \n",
       "283         0.108293        -0.408219         -0.02232        -0.117141  \n",
       "284        -0.040707        -0.310219          0.08468        -0.363141  \n",
       "285        -0.602707        -0.162219         -0.05432        -0.057141  \n",
       "286         0.186293        -0.040219         -0.09332         0.113859  \n",
       "287         0.475293        -0.159219         -0.05332        -0.012141  \n",
       "288        -0.525707         0.003781          0.26568        -0.061141  \n",
       "289        -0.201707        -0.118219         -0.17732        -0.079141  \n",
       "290        -0.283707        -0.212219         -0.07232         0.050859  \n",
       "291        -0.296707         0.559781          0.36268        -0.069141  \n",
       "292         0.327293         0.250781          0.18468         0.247859  \n",
       "293        -0.075707         0.181781          0.29768         0.126859  \n",
       "294         0.165293         0.018781         -0.20932         0.309859  \n",
       "295        -0.329707        -0.204219          0.12468        -0.165141  \n",
       "296         0.028293         0.178781          0.47468        -0.205141  \n",
       "\n",
       "[297 rows x 308 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_res"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we create a correlation matrix over the columns of df_res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true,
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "M = scn.create_corrmat(df_res, method='pearson')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create a weighted graph\n",
    "\n",
    "A short sidenote on the BrainNetwork class: This is a very lightweight subclass of the [`Networkx.Graph`](https://networkx.github.io/documentation/stable/reference/classes/graph.html) class. This means that any methods you can use on a `Networkx.Graph` object can also be used on a `BrainNetwork` object, although the reverse is not true. We have added various methods which allow us to keep track of measures that have already been calculated, which, especially later on when one is dealing with 10^3 random graphs, saves a lot of time.  \n",
    "All scona measures are implemented in such a way that they can be used on a regular `Networkx.Graph` object. For example, instead of `G.threshold(10)` you can use `scn.threshold_graph(G, 10)`.  \n",
    "Also you can create a `BrainNetwork` from a `Networkx.Graph` `G`, using `scn.BrainNetwork(network=G)`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Initialise a weighted graph `G` from the correlation matrix `M`. The `parcellation` and `centroids` arguments are used to label nodes with names and coordinates respectively. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "G = scn.BrainNetwork(network=M, parcellation=names, centroids=centroids)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Threshold to create a binary graph\n",
    "\n",
    "We threshold G at cost 10 to create a binary graph with 10% as many edges as the complete graph G. Ordinarily when thresholding one takes the 10% of edges with the highest weight. In our case, because we want the resulting graph to be connected, we calculate a minimum spanning tree first. If you want to omit this step, you can pass the argument `mst=False` to `threshold`.\n",
    "The threshold method does not edit objects inplace"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "H = G.threshold(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculate nodal summary. \n",
    "\n",
    "`calculate_nodal_measures` will compute and record the following nodal measures \n",
    "\n",
    "* average_dist (if centroids available)\n",
    "* total_dist (if centroids available)\n",
    "* betweenness\n",
    "* closeness\n",
    "* clustering coefficient\n",
    "* degree\n",
    "* interhem (if centroids are available)\n",
    "* interhem_proportion (if centroids are available)\n",
    "* nodal partition\n",
    "* participation coefficient under partition calculated above\n",
    "* shortest_path_length"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`export_nodal_measure` returns nodal attributes in a DataFrame. Let's try it now."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "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>centroids</th>\n",
       "      <th>name</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "      <th>z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>[-27.965157, -19.013702, 17.919528]</td>\n",
       "      <td>lh_bankssts_part1</td>\n",
       "      <td>-27.9652</td>\n",
       "      <td>-19.0137</td>\n",
       "      <td>17.9195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>[-14.455663, -13.693461, 13.713674]</td>\n",
       "      <td>lh_bankssts_part2</td>\n",
       "      <td>-14.4557</td>\n",
       "      <td>-13.6935</td>\n",
       "      <td>13.7137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>[-33.906934, -22.284672, -15.821168]</td>\n",
       "      <td>lh_caudalanteriorcingulate_part1</td>\n",
       "      <td>-33.9069</td>\n",
       "      <td>-22.2847</td>\n",
       "      <td>-15.8212</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>[-17.305373, -53.431573, -36.017154]</td>\n",
       "      <td>lh_caudalmiddlefrontal_part1</td>\n",
       "      <td>-17.3054</td>\n",
       "      <td>-53.4316</td>\n",
       "      <td>-36.0172</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>[-22.265823, -64.366296, -37.674831]</td>\n",
       "      <td>lh_caudalmiddlefrontal_part2</td>\n",
       "      <td>-22.2658</td>\n",
       "      <td>-64.3663</td>\n",
       "      <td>-37.6748</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                              centroids                              name  \\\n",
       "0   [-27.965157, -19.013702, 17.919528]                 lh_bankssts_part1   \n",
       "1   [-14.455663, -13.693461, 13.713674]                 lh_bankssts_part2   \n",
       "2  [-33.906934, -22.284672, -15.821168]  lh_caudalanteriorcingulate_part1   \n",
       "3  [-17.305373, -53.431573, -36.017154]      lh_caudalmiddlefrontal_part1   \n",
       "4  [-22.265823, -64.366296, -37.674831]      lh_caudalmiddlefrontal_part2   \n",
       "\n",
       "         x        y        z  \n",
       "0 -27.9652 -19.0137  17.9195  \n",
       "1 -14.4557 -13.6935  13.7137  \n",
       "2 -33.9069 -22.2847 -15.8212  \n",
       "3 -17.3054 -53.4316 -36.0172  \n",
       "4 -22.2658 -64.3663 -37.6748  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "H.report_nodal_measures().head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use `calculate_nodal_measures` to fill in a bunch of nodal measures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        Calculating participation coefficient -           may take a little while\n"
     ]
    }
   ],
   "source": [
    "H.calculate_nodal_measures()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": false
   },
   "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",
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       "    }\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>betweenness</th>\n",
       "      <th>centroids</th>\n",
       "      <th>closeness</th>\n",
       "      <th>clustering</th>\n",
       "      <th>degree</th>\n",
       "      <th>module</th>\n",
       "      <th>name</th>\n",
       "      <th>participation_coefficient</th>\n",
       "      <th>shortest_path_length</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "      <th>z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00824713</td>\n",
       "      <td>[-27.965157, -19.013702, 17.919528]</td>\n",
       "      <td>0.495961</td>\n",
       "      <td>0.3358</td>\n",
       "      <td>47</td>\n",
       "      <td>0</td>\n",
       "      <td>lh_bankssts_part1</td>\n",
       "      <td>0.717067</td>\n",
       "      <td>0.00824713</td>\n",
       "      <td>-27.9652</td>\n",
       "      <td>-19.0137</td>\n",
       "      <td>17.9195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0124798</td>\n",
       "      <td>[-14.455663, -13.693461, 13.713674]</td>\n",
       "      <td>0.507438</td>\n",
       "      <td>0.278788</td>\n",
       "      <td>55</td>\n",
       "      <td>0</td>\n",
       "      <td>lh_bankssts_part2</td>\n",
       "      <td>0.809587</td>\n",
       "      <td>0.0124798</td>\n",
       "      <td>-14.4557</td>\n",
       "      <td>-13.6935</td>\n",
       "      <td>13.7137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>[-33.906934, -22.284672, -15.821168]</td>\n",
       "      <td>0.336254</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>lh_caudalanteriorcingulate_part1</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0</td>\n",
       "      <td>-33.9069</td>\n",
       "      <td>-22.2847</td>\n",
       "      <td>-15.8212</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0120765</td>\n",
       "      <td>[-17.305373, -53.431573, -36.017154]</td>\n",
       "      <td>0.525685</td>\n",
       "      <td>0.383485</td>\n",
       "      <td>83</td>\n",
       "      <td>2</td>\n",
       "      <td>lh_caudalmiddlefrontal_part1</td>\n",
       "      <td>0.459864</td>\n",
       "      <td>0.0120765</td>\n",
       "      <td>-17.3054</td>\n",
       "      <td>-53.4316</td>\n",
       "      <td>-36.0172</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0292617</td>\n",
       "      <td>[-22.265823, -64.366296, -37.674831]</td>\n",
       "      <td>0.549195</td>\n",
       "      <td>0.293617</td>\n",
       "      <td>95</td>\n",
       "      <td>2</td>\n",
       "      <td>lh_caudalmiddlefrontal_part2</td>\n",
       "      <td>0.688753</td>\n",
       "      <td>0.0292617</td>\n",
       "      <td>-22.2658</td>\n",
       "      <td>-64.3663</td>\n",
       "      <td>-37.6748</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  betweenness                             centroids closeness clustering  \\\n",
       "0  0.00824713   [-27.965157, -19.013702, 17.919528]  0.495961     0.3358   \n",
       "1   0.0124798   [-14.455663, -13.693461, 13.713674]  0.507438   0.278788   \n",
       "2           0  [-33.906934, -22.284672, -15.821168]  0.336254          1   \n",
       "3   0.0120765  [-17.305373, -53.431573, -36.017154]  0.525685   0.383485   \n",
       "4   0.0292617  [-22.265823, -64.366296, -37.674831]  0.549195   0.293617   \n",
       "\n",
       "  degree module                              name participation_coefficient  \\\n",
       "0     47      0                 lh_bankssts_part1                  0.717067   \n",
       "1     55      0                 lh_bankssts_part2                  0.809587   \n",
       "2      2      1  lh_caudalanteriorcingulate_part1                      0.75   \n",
       "3     83      2      lh_caudalmiddlefrontal_part1                  0.459864   \n",
       "4     95      2      lh_caudalmiddlefrontal_part2                  0.688753   \n",
       "\n",
       "  shortest_path_length        x        y        z  \n",
       "0           0.00824713 -27.9652 -19.0137  17.9195  \n",
       "1            0.0124798 -14.4557 -13.6935  13.7137  \n",
       "2                    0 -33.9069 -22.2847 -15.8212  \n",
       "3            0.0120765 -17.3054 -53.4316 -36.0172  \n",
       "4            0.0292617 -22.2658 -64.3663 -37.6748  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "H.report_nodal_measures().head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also add measures as one might normally add nodal attributes to a networkx graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "nx.set_node_attributes(H, name=\"hat\", values={x: x**2 for x in H.nodes})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These show up in our DataFrame too"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "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>degree</th>\n",
       "      <th>hat</th>\n",
       "      <th>name</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>47</td>\n",
       "      <td>0</td>\n",
       "      <td>lh_bankssts_part1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>55</td>\n",
       "      <td>1</td>\n",
       "      <td>lh_bankssts_part2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>lh_caudalanteriorcingulate_part1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>83</td>\n",
       "      <td>9</td>\n",
       "      <td>lh_caudalmiddlefrontal_part1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>95</td>\n",
       "      <td>16</td>\n",
       "      <td>lh_caudalmiddlefrontal_part2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  degree hat                              name\n",
       "0     47   0                 lh_bankssts_part1\n",
       "1     55   1                 lh_bankssts_part2\n",
       "2      2   4  lh_caudalanteriorcingulate_part1\n",
       "3     83   9      lh_caudalmiddlefrontal_part1\n",
       "4     95  16      lh_caudalmiddlefrontal_part2"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "H.report_nodal_measures(columns=['name', 'degree', 'hat']).head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculate Global measures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'assortativity': 0.09076922258276784,\n",
       " 'average_clustering': 0.4498887255891581,\n",
       " 'average_shortest_path_length': 2.376242649858285,\n",
       " 'efficiency': 0.47983958611582617,\n",
       " 'modularity': 0.3828553111606414}"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "H.calculate_global_measures()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "H.rich_club();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create a GraphBundle\n",
    "\n",
    "The `GraphBundle` object is the scona way to handle across network comparisons. What is it? Essentially it's a python dictionary with `BrainNetwork` objects as values. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "brain_bundle = scn.GraphBundle([H], ['NSPN_cost=10'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This creates a dictionary-like object with BrainNetwork `H` keyed by `'NSPN_cost=10'`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'NSPN_cost=10': <scona.classes.BrainNetwork at 0x7f3f247f6fd0>}"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "brain_bundle"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now add a series of random_graphs created by edge swap randomisation of H (keyed by `'NSPN_cost=10'`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        Creating 10 random graphs - may take a little while\n"
     ]
    }
   ],
   "source": [
    "# Note that 10 is not usually a sufficient number of random graphs to do meaningful analysis,\n",
    "# it is used here for time considerations\n",
    "brain_bundle.create_random_graphs('NSPN_cost=10', 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'NSPN_cost=10': <scona.classes.BrainNetwork at 0x7f3f247f6fd0>,\n",
       " 'NSPN_cost=10_R1': <scona.classes.BrainNetwork at 0x7f3f138b7f28>,\n",
       " 'NSPN_cost=10_R10': <scona.classes.BrainNetwork at 0x7f3f134b8828>,\n",
       " 'NSPN_cost=10_R2': <scona.classes.BrainNetwork at 0x7f3f138b7e80>,\n",
       " 'NSPN_cost=10_R3': <scona.classes.BrainNetwork at 0x7f3f138b7780>,\n",
       " 'NSPN_cost=10_R4': <scona.classes.BrainNetwork at 0x7f3f138b7da0>,\n",
       " 'NSPN_cost=10_R5': <scona.classes.BrainNetwork at 0x7f3f1388ae10>,\n",
       " 'NSPN_cost=10_R6': <scona.classes.BrainNetwork at 0x7f3f134b8a58>,\n",
       " 'NSPN_cost=10_R7': <scona.classes.BrainNetwork at 0x7f3f134b84a8>,\n",
       " 'NSPN_cost=10_R8': <scona.classes.BrainNetwork at 0x7f3f134b8390>,\n",
       " 'NSPN_cost=10_R9': <scona.classes.BrainNetwork at 0x7f3f134b83c8>}"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "brain_bundle"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Report on a GraphBundle\n",
    "\n",
    "The following method will calculate global measures ( if they have not already been calculated) for all of the graphs in `graph_bundle` and report the results in a DataFrame. We can do the same for rich club coefficients below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>assortativity</th>\n",
       "      <th>average_clustering</th>\n",
       "      <th>average_shortest_path_length</th>\n",
       "      <th>efficiency</th>\n",
       "      <th>modularity</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10</th>\n",
       "      <td>0.090769</td>\n",
       "      <td>0.449889</td>\n",
       "      <td>2.376243</td>\n",
       "      <td>0.479840</td>\n",
       "      <td>0.382855</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R1</th>\n",
       "      <td>-0.083993</td>\n",
       "      <td>0.222571</td>\n",
       "      <td>2.086721</td>\n",
       "      <td>0.519147</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R10</th>\n",
       "      <td>-0.087652</td>\n",
       "      <td>0.222462</td>\n",
       "      <td>2.087821</td>\n",
       "      <td>0.518918</td>\n",
       "      <td>0.000000</td>\n",
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       "    <tr>\n",
       "      <th>NSPN_cost=10_R2</th>\n",
       "      <td>-0.080897</td>\n",
       "      <td>0.230384</td>\n",
       "      <td>2.090423</td>\n",
       "      <td>0.518615</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R3</th>\n",
       "      <td>-0.102626</td>\n",
       "      <td>0.221894</td>\n",
       "      <td>2.082745</td>\n",
       "      <td>0.519803</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R4</th>\n",
       "      <td>-0.072122</td>\n",
       "      <td>0.221924</td>\n",
       "      <td>2.087842</td>\n",
       "      <td>0.518902</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R5</th>\n",
       "      <td>-0.086952</td>\n",
       "      <td>0.232706</td>\n",
       "      <td>2.084754</td>\n",
       "      <td>0.519357</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R6</th>\n",
       "      <td>-0.084438</td>\n",
       "      <td>0.223727</td>\n",
       "      <td>2.085325</td>\n",
       "      <td>0.519440</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R7</th>\n",
       "      <td>-0.080285</td>\n",
       "      <td>0.224930</td>\n",
       "      <td>2.087525</td>\n",
       "      <td>0.519003</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R8</th>\n",
       "      <td>-0.070332</td>\n",
       "      <td>0.225730</td>\n",
       "      <td>2.085135</td>\n",
       "      <td>0.519281</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R9</th>\n",
       "      <td>-0.086510</td>\n",
       "      <td>0.227159</td>\n",
       "      <td>2.090782</td>\n",
       "      <td>0.518527</td>\n",
       "      <td>0.000000</td>\n",
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      "text/plain": [
       "                  assortativity  average_clustering  \\\n",
       "NSPN_cost=10           0.090769            0.449889   \n",
       "NSPN_cost=10_R1       -0.083993            0.222571   \n",
       "NSPN_cost=10_R10      -0.087652            0.222462   \n",
       "NSPN_cost=10_R2       -0.080897            0.230384   \n",
       "NSPN_cost=10_R3       -0.102626            0.221894   \n",
       "NSPN_cost=10_R4       -0.072122            0.221924   \n",
       "NSPN_cost=10_R5       -0.086952            0.232706   \n",
       "NSPN_cost=10_R6       -0.084438            0.223727   \n",
       "NSPN_cost=10_R7       -0.080285            0.224930   \n",
       "NSPN_cost=10_R8       -0.070332            0.225730   \n",
       "NSPN_cost=10_R9       -0.086510            0.227159   \n",
       "\n",
       "                  average_shortest_path_length  efficiency  modularity  \n",
       "NSPN_cost=10                          2.376243    0.479840    0.382855  \n",
       "NSPN_cost=10_R1                       2.086721    0.519147    0.000000  \n",
       "NSPN_cost=10_R10                      2.087821    0.518918    0.000000  \n",
       "NSPN_cost=10_R2                       2.090423    0.518615    0.000000  \n",
       "NSPN_cost=10_R3                       2.082745    0.519803    0.000000  \n",
       "NSPN_cost=10_R4                       2.087842    0.518902    0.000000  \n",
       "NSPN_cost=10_R5                       2.084754    0.519357    0.000000  \n",
       "NSPN_cost=10_R6                       2.085325    0.519440    0.000000  \n",
       "NSPN_cost=10_R7                       2.087525    0.519003    0.000000  \n",
       "NSPN_cost=10_R8                       2.085135    0.519281    0.000000  \n",
       "NSPN_cost=10_R9                       2.090782    0.518527    0.000000  "
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "brain_bundle.report_global_measures()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
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       "      <td>0.107175</td>\n",
       "      <td>0.111920</td>\n",
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       "</table>\n",
       "<p>11 rows × 106 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                       0         1         2         3         4         5    \\\n",
       "NSPN_cost=10      0.100004  0.103228  0.107244  0.112039  0.117842  0.122398   \n",
       "NSPN_cost=10_R1   0.100004  0.103228  0.107175  0.111920  0.117564  0.121950   \n",
       "NSPN_cost=10_R10  0.100004  0.103228  0.107175  0.111920  0.117564  0.121950   \n",
       "NSPN_cost=10_R2   0.100004  0.103228  0.107175  0.111920  0.117564  0.121950   \n",
       "NSPN_cost=10_R3   0.100004  0.103228  0.107175  0.111920  0.117589  0.122003   \n",
       "NSPN_cost=10_R4   0.100004  0.103228  0.107175  0.111920  0.117564  0.121976   \n",
       "NSPN_cost=10_R5   0.100004  0.103228  0.107175  0.111920  0.117564  0.121950   \n",
       "NSPN_cost=10_R6   0.100004  0.103228  0.107175  0.111920  0.117564  0.121950   \n",
       "NSPN_cost=10_R7   0.100004  0.103228  0.107175  0.111920  0.117564  0.121976   \n",
       "NSPN_cost=10_R8   0.100004  0.103228  0.107175  0.111920  0.117564  0.121950   \n",
       "NSPN_cost=10_R9   0.100004  0.103228  0.107175  0.111920  0.117564  0.121976   \n",
       "\n",
       "                       6         7         8         9   ...   96   97   98   \\\n",
       "NSPN_cost=10      0.127975  0.131899  0.136820  0.141069 ...   1.0  1.0  1.0   \n",
       "NSPN_cost=10_R1   0.127226  0.131092  0.135825  0.139877 ...   1.0  1.0  1.0   \n",
       "NSPN_cost=10_R10  0.127226  0.131150  0.135885  0.139908 ...   0.0  0.0  0.0   \n",
       "NSPN_cost=10_R2   0.127226  0.131092  0.135855  0.139971 ...   1.0  1.0  1.0   \n",
       "NSPN_cost=10_R3   0.127282  0.131150  0.135885  0.139940 ...   1.0  1.0  1.0   \n",
       "NSPN_cost=10_R4   0.127282  0.131150  0.135885  0.139940 ...   1.0  1.0  1.0   \n",
       "NSPN_cost=10_R5   0.127254  0.131150  0.135915  0.139940 ...   1.0  1.0  1.0   \n",
       "NSPN_cost=10_R6   0.127226  0.131092  0.135885  0.139908 ...   1.0  1.0  1.0   \n",
       "NSPN_cost=10_R7   0.127254  0.131150  0.135915  0.139971 ...   1.0  1.0  1.0   \n",
       "NSPN_cost=10_R8   0.127226  0.131121  0.135915  0.139940 ...   1.0  1.0  1.0   \n",
       "NSPN_cost=10_R9   0.127254  0.131150  0.135915  0.140034 ...   0.0  0.0  0.0   \n",
       "\n",
       "                  99   100  101  102  103  104  105  \n",
       "NSPN_cost=10      1.0  1.0  1.0  1.0  1.0  1.0  1.0  \n",
       "NSPN_cost=10_R1   1.0  1.0  1.0  1.0  1.0  1.0  1.0  \n",
       "NSPN_cost=10_R10  0.0  0.0  0.0  0.0  0.0  0.0  0.0  \n",
       "NSPN_cost=10_R2   1.0  1.0  1.0  1.0  1.0  1.0  1.0  \n",
       "NSPN_cost=10_R3   1.0  1.0  1.0  1.0  1.0  1.0  1.0  \n",
       "NSPN_cost=10_R4   1.0  1.0  1.0  1.0  1.0  1.0  1.0  \n",
       "NSPN_cost=10_R5   1.0  1.0  1.0  1.0  1.0  1.0  1.0  \n",
       "NSPN_cost=10_R6   1.0  1.0  1.0  1.0  1.0  1.0  1.0  \n",
       "NSPN_cost=10_R7   1.0  1.0  1.0  1.0  1.0  1.0  1.0  \n",
       "NSPN_cost=10_R8   1.0  1.0  1.0  1.0  1.0  1.0  1.0  \n",
       "NSPN_cost=10_R9   0.0  0.0  0.0  0.0  0.0  0.0  0.0  \n",
       "\n",
       "[11 rows x 106 columns]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "brain_bundle.report_rich_club()"
   ]
  }
 ],
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