tutorials/tutorial.ipynb

{
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  {
   "cell_type": "markdown",
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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": {},
   "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
   },
   "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",
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       "      <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",
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       "      <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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       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>10778</td>\n",
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       "      <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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       "      <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  rh_supramarginal_part6  \\\n",
       "0        4       WBIC  ...                   2.592                   2.841   \n",
       "1        2       WBIC  ...                   3.448                   3.283   \n",
       "2        1       WBIC  ...                   3.526                   3.269   \n",
       "3        4       WBIC  ...                   2.830                   2.917   \n",
       "4        1       WBIC  ...                   2.689                   3.294   \n",
       "\n",
       "   rh_supramarginal_part7  rh_frontalpole_part1  rh_temporalpole_part1  \\\n",
       "0                   2.318                 2.486                  3.526   \n",
       "1                   2.740                 3.225                  4.044   \n",
       "2                   3.076                 3.133                  3.900   \n",
       "3                   2.647                 2.796                  3.401   \n",
       "4                   2.820                 2.539                  2.151   \n",
       "\n",
       "   rh_transversetemporal_part1  rh_insula_part1  rh_insula_part2  \\\n",
       "0                        2.638            3.308            2.583   \n",
       "1                        3.040            3.867            2.943   \n",
       "2                        2.914            3.894            2.898   \n",
       "3                        3.045            3.138            2.739   \n",
       "4                        2.734            2.791            2.935   \n",
       "\n",
       "   rh_insula_part3  rh_insula_part4  \n",
       "0            3.188            3.089  \n",
       "1            3.478            3.609  \n",
       "2            3.720            3.580  \n",
       "3            2.833            3.349  \n",
       "4            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": {},
   "outputs": [],
   "source": [
    "df_res = scn.create_residuals_df(df, names, covars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
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       "      <td>0.042484</td>\n",
       "      <td>-0.005625</td>\n",
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       "      <td>-0.40075</td>\n",
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       "      <td>-0.149781</td>\n",
       "      <td>-0.108094</td>\n",
       "      <td>-0.340437</td>\n",
       "      <td>-0.170906</td>\n",
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       "      <td>0.697109</td>\n",
       "      <td>0.408484</td>\n",
       "      <td>0.445375</td>\n",
       "      <td>0.383969</td>\n",
       "      <td>0.315125</td>\n",
       "      <td>0.374656</td>\n",
       "      <td>0.334391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.408937</td>\n",
       "      <td>0.308391</td>\n",
       "      <td>0.02125</td>\n",
       "      <td>0.279688</td>\n",
       "      <td>0.368219</td>\n",
       "      <td>0.293906</td>\n",
       "      <td>0.218562</td>\n",
       "      <td>0.189094</td>\n",
       "      <td>0.087375</td>\n",
       "      <td>0.093375</td>\n",
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       "      <th>2</th>\n",
       "      <td>0.166521</td>\n",
       "      <td>0.078133</td>\n",
       "      <td>0.368789</td>\n",
       "      <td>0.412109</td>\n",
       "      <td>0.285484</td>\n",
       "      <td>0.187375</td>\n",
       "      <td>0.569969</td>\n",
       "      <td>-0.072875</td>\n",
       "      <td>-0.077344</td>\n",
       "      <td>0.368391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.486938</td>\n",
       "      <td>0.294391</td>\n",
       "      <td>0.35725</td>\n",
       "      <td>0.187688</td>\n",
       "      <td>0.224219</td>\n",
       "      <td>0.167906</td>\n",
       "      <td>0.245562</td>\n",
       "      <td>0.144094</td>\n",
       "      <td>0.329375</td>\n",
       "      <td>0.064375</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.088479</td>\n",
       "      <td>-0.252867</td>\n",
       "      <td>-0.401211</td>\n",
       "      <td>-0.362891</td>\n",
       "      <td>-0.044516</td>\n",
       "      <td>-0.154625</td>\n",
       "      <td>-0.163031</td>\n",
       "      <td>0.018125</td>\n",
       "      <td>-0.261344</td>\n",
       "      <td>-0.015609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.209062</td>\n",
       "      <td>-0.057609</td>\n",
       "      <td>-0.07175</td>\n",
       "      <td>-0.149312</td>\n",
       "      <td>-0.274781</td>\n",
       "      <td>0.298906</td>\n",
       "      <td>-0.510438</td>\n",
       "      <td>-0.014906</td>\n",
       "      <td>-0.557625</td>\n",
       "      <td>-0.166625</td>\n",
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       "      <td>0.398521</td>\n",
       "      <td>0.133133</td>\n",
       "      <td>0.128789</td>\n",
       "      <td>-0.218891</td>\n",
       "      <td>-1.001516</td>\n",
       "      <td>-0.142625</td>\n",
       "      <td>-0.759031</td>\n",
       "      <td>-0.102875</td>\n",
       "      <td>-0.565344</td>\n",
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       "      <td>-0.350063</td>\n",
       "      <td>0.319391</td>\n",
       "      <td>0.10125</td>\n",
       "      <td>-0.406312</td>\n",
       "      <td>-1.524781</td>\n",
       "      <td>-0.012094</td>\n",
       "      <td>-0.857437</td>\n",
       "      <td>0.181094</td>\n",
       "      <td>0.147375</td>\n",
       "      <td>-0.112625</td>\n",
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       "      <td>-0.093867</td>\n",
       "      <td>-0.245211</td>\n",
       "      <td>-0.131891</td>\n",
       "      <td>-0.078516</td>\n",
       "      <td>-0.110625</td>\n",
       "      <td>-0.149031</td>\n",
       "      <td>0.135125</td>\n",
       "      <td>-0.062344</td>\n",
       "      <td>0.149391</td>\n",
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       "      <td>-0.123062</td>\n",
       "      <td>-0.084609</td>\n",
       "      <td>-0.14975</td>\n",
       "      <td>-0.137312</td>\n",
       "      <td>-0.247781</td>\n",
       "      <td>0.204906</td>\n",
       "      <td>0.307563</td>\n",
       "      <td>0.071094</td>\n",
       "      <td>0.256375</td>\n",
       "      <td>0.066375</td>\n",
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       "      <td>0.130133</td>\n",
       "      <td>0.092789</td>\n",
       "      <td>0.047109</td>\n",
       "      <td>0.270484</td>\n",
       "      <td>0.017375</td>\n",
       "      <td>-0.044031</td>\n",
       "      <td>0.050125</td>\n",
       "      <td>0.013656</td>\n",
       "      <td>-0.220609</td>\n",
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       "      <td>0.054937</td>\n",
       "      <td>0.017391</td>\n",
       "      <td>-0.01375</td>\n",
       "      <td>-0.090313</td>\n",
       "      <td>0.304219</td>\n",
       "      <td>-0.112094</td>\n",
       "      <td>-0.052437</td>\n",
       "      <td>-0.026906</td>\n",
       "      <td>-0.103625</td>\n",
       "      <td>0.015375</td>\n",
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       "      <th>7</th>\n",
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       "      <td>0.251484</td>\n",
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       "      <td>-0.024031</td>\n",
       "      <td>0.109125</td>\n",
       "      <td>0.080656</td>\n",
       "      <td>0.327391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.401938</td>\n",
       "      <td>0.124391</td>\n",
       "      <td>0.23525</td>\n",
       "      <td>-0.252312</td>\n",
       "      <td>-0.220781</td>\n",
       "      <td>0.324906</td>\n",
       "      <td>-0.374438</td>\n",
       "      <td>0.004094</td>\n",
       "      <td>-0.039625</td>\n",
       "      <td>-0.151625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.431521</td>\n",
       "      <td>0.034133</td>\n",
       "      <td>0.194789</td>\n",
       "      <td>0.103109</td>\n",
       "      <td>0.208484</td>\n",
       "      <td>-0.091625</td>\n",
       "      <td>0.203969</td>\n",
       "      <td>-0.116875</td>\n",
       "      <td>-0.005344</td>\n",
       "      <td>0.382391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.077937</td>\n",
       "      <td>0.172391</td>\n",
       "      <td>0.29525</td>\n",
       "      <td>-0.106313</td>\n",
       "      <td>0.170219</td>\n",
       "      <td>0.057906</td>\n",
       "      <td>0.385562</td>\n",
       "      <td>0.013094</td>\n",
       "      <td>-0.071625</td>\n",
       "      <td>0.008375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.189521</td>\n",
       "      <td>0.078133</td>\n",
       "      <td>0.096789</td>\n",
       "      <td>0.100109</td>\n",
       "      <td>0.014484</td>\n",
       "      <td>0.180375</td>\n",
       "      <td>0.116969</td>\n",
       "      <td>-0.073875</td>\n",
       "      <td>-0.195344</td>\n",
       "      <td>-0.329609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.223062</td>\n",
       "      <td>-0.032609</td>\n",
       "      <td>-0.19275</td>\n",
       "      <td>0.504688</td>\n",
       "      <td>-0.001781</td>\n",
       "      <td>0.118906</td>\n",
       "      <td>0.394563</td>\n",
       "      <td>-0.196906</td>\n",
       "      <td>-0.228625</td>\n",
       "      <td>0.032375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>-1.038479</td>\n",
       "      <td>-0.762867</td>\n",
       "      <td>-0.618211</td>\n",
       "      <td>0.058109</td>\n",
       "      <td>-0.296516</td>\n",
       "      <td>0.005375</td>\n",
       "      <td>-0.426031</td>\n",
       "      <td>0.337125</td>\n",
       "      <td>0.217656</td>\n",
       "      <td>-1.003609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.489063</td>\n",
       "      <td>0.143391</td>\n",
       "      <td>-0.01075</td>\n",
       "      <td>-0.563313</td>\n",
       "      <td>-0.155781</td>\n",
       "      <td>0.285906</td>\n",
       "      <td>-0.097437</td>\n",
       "      <td>0.062094</td>\n",
       "      <td>0.288375</td>\n",
       "      <td>0.300375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.181521</td>\n",
       "      <td>0.152133</td>\n",
       "      <td>-0.097211</td>\n",
       "      <td>0.186109</td>\n",
       "      <td>-0.034516</td>\n",
       "      <td>0.206375</td>\n",
       "      <td>0.147969</td>\n",
       "      <td>0.009125</td>\n",
       "      <td>-0.068344</td>\n",
       "      <td>-0.001609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.123938</td>\n",
       "      <td>-0.123609</td>\n",
       "      <td>-0.13375</td>\n",
       "      <td>-0.007312</td>\n",
       "      <td>0.227219</td>\n",
       "      <td>0.129906</td>\n",
       "      <td>-0.225437</td>\n",
       "      <td>-0.050906</td>\n",
       "      <td>-0.363625</td>\n",
       "      <td>0.187375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>-0.060479</td>\n",
       "      <td>-0.225867</td>\n",
       "      <td>-0.227211</td>\n",
       "      <td>0.373109</td>\n",
       "      <td>0.221484</td>\n",
       "      <td>0.234375</td>\n",
       "      <td>0.011969</td>\n",
       "      <td>0.015125</td>\n",
       "      <td>0.075656</td>\n",
       "      <td>0.295391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.076938</td>\n",
       "      <td>0.049391</td>\n",
       "      <td>-0.07375</td>\n",
       "      <td>0.038687</td>\n",
       "      <td>-0.199781</td>\n",
       "      <td>0.122906</td>\n",
       "      <td>0.273562</td>\n",
       "      <td>-0.038906</td>\n",
       "      <td>0.217375</td>\n",
       "      <td>0.448375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.198521</td>\n",
       "      <td>-0.051867</td>\n",
       "      <td>0.035789</td>\n",
       "      <td>-0.106891</td>\n",
       "      <td>0.050484</td>\n",
       "      <td>-0.502625</td>\n",
       "      <td>-0.115031</td>\n",
       "      <td>0.116125</td>\n",
       "      <td>-0.119344</td>\n",
       "      <td>-0.049609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.608938</td>\n",
       "      <td>0.140391</td>\n",
       "      <td>0.28625</td>\n",
       "      <td>0.390688</td>\n",
       "      <td>-0.469781</td>\n",
       "      <td>0.383906</td>\n",
       "      <td>0.197563</td>\n",
       "      <td>0.063094</td>\n",
       "      <td>0.223375</td>\n",
       "      <td>0.159375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.219521</td>\n",
       "      <td>0.371133</td>\n",
       "      <td>0.110789</td>\n",
       "      <td>-0.115891</td>\n",
       "      <td>0.154484</td>\n",
       "      <td>-0.089625</td>\n",
       "      <td>0.025969</td>\n",
       "      <td>0.169125</td>\n",
       "      <td>0.272656</td>\n",
       "      <td>-0.428609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.112062</td>\n",
       "      <td>-0.227609</td>\n",
       "      <td>-0.08175</td>\n",
       "      <td>0.175688</td>\n",
       "      <td>0.165219</td>\n",
       "      <td>0.021906</td>\n",
       "      <td>0.105562</td>\n",
       "      <td>0.039094</td>\n",
       "      <td>-0.035625</td>\n",
       "      <td>-0.146625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.073521</td>\n",
       "      <td>-0.144867</td>\n",
       "      <td>-0.158211</td>\n",
       "      <td>0.162109</td>\n",
       "      <td>-0.098516</td>\n",
       "      <td>-0.026625</td>\n",
       "      <td>-0.152031</td>\n",
       "      <td>0.198125</td>\n",
       "      <td>-0.085344</td>\n",
       "      <td>-0.524609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.240937</td>\n",
       "      <td>0.009391</td>\n",
       "      <td>-0.23375</td>\n",
       "      <td>0.273687</td>\n",
       "      <td>-0.053781</td>\n",
       "      <td>-0.369094</td>\n",
       "      <td>-0.399438</td>\n",
       "      <td>0.199094</td>\n",
       "      <td>0.218375</td>\n",
       "      <td>-0.002625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-0.049479</td>\n",
       "      <td>0.223133</td>\n",
       "      <td>-0.064211</td>\n",
       "      <td>0.019109</td>\n",
       "      <td>0.167484</td>\n",
       "      <td>-0.168625</td>\n",
       "      <td>-0.131031</td>\n",
       "      <td>-0.323875</td>\n",
       "      <td>-0.050344</td>\n",
       "      <td>0.106391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.030937</td>\n",
       "      <td>-0.101609</td>\n",
       "      <td>-0.05275</td>\n",
       "      <td>0.278687</td>\n",
       "      <td>0.386219</td>\n",
       "      <td>0.110906</td>\n",
       "      <td>0.008563</td>\n",
       "      <td>0.223094</td>\n",
       "      <td>0.099375</td>\n",
       "      <td>0.078375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.053521</td>\n",
       "      <td>-0.058867</td>\n",
       "      <td>0.167789</td>\n",
       "      <td>-0.322891</td>\n",
       "      <td>-0.027516</td>\n",
       "      <td>-0.139625</td>\n",
       "      <td>-0.110031</td>\n",
       "      <td>-0.015875</td>\n",
       "      <td>0.061656</td>\n",
       "      <td>0.063391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.183062</td>\n",
       "      <td>-0.127609</td>\n",
       "      <td>0.01525</td>\n",
       "      <td>-0.309312</td>\n",
       "      <td>0.237219</td>\n",
       "      <td>0.157906</td>\n",
       "      <td>0.026562</td>\n",
       "      <td>0.137094</td>\n",
       "      <td>0.209375</td>\n",
       "      <td>0.017375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>-0.329479</td>\n",
       "      <td>0.125133</td>\n",
       "      <td>-0.257211</td>\n",
       "      <td>0.251109</td>\n",
       "      <td>-0.098516</td>\n",
       "      <td>0.145375</td>\n",
       "      <td>-0.098031</td>\n",
       "      <td>-0.008875</td>\n",
       "      <td>0.023656</td>\n",
       "      <td>0.225391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.235937</td>\n",
       "      <td>0.331391</td>\n",
       "      <td>0.18625</td>\n",
       "      <td>0.008687</td>\n",
       "      <td>0.046219</td>\n",
       "      <td>-0.209094</td>\n",
       "      <td>0.205562</td>\n",
       "      <td>-0.122906</td>\n",
       "      <td>-0.097625</td>\n",
       "      <td>0.046375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>-0.014479</td>\n",
       "      <td>-0.093867</td>\n",
       "      <td>0.502789</td>\n",
       "      <td>-0.071891</td>\n",
       "      <td>0.113484</td>\n",
       "      <td>0.023375</td>\n",
       "      <td>0.096969</td>\n",
       "      <td>-0.289875</td>\n",
       "      <td>0.038656</td>\n",
       "      <td>0.230391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.029063</td>\n",
       "      <td>0.023391</td>\n",
       "      <td>-0.10175</td>\n",
       "      <td>-0.106313</td>\n",
       "      <td>0.063219</td>\n",
       "      <td>0.080906</td>\n",
       "      <td>0.397563</td>\n",
       "      <td>-0.060906</td>\n",
       "      <td>0.260375</td>\n",
       "      <td>0.311375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.050521</td>\n",
       "      <td>-0.099867</td>\n",
       "      <td>0.882789</td>\n",
       "      <td>-0.218891</td>\n",
       "      <td>-0.085516</td>\n",
       "      <td>-0.296625</td>\n",
       "      <td>-0.238031</td>\n",
       "      <td>-0.091875</td>\n",
       "      <td>-0.227344</td>\n",
       "      <td>-0.602609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.229937</td>\n",
       "      <td>-0.177609</td>\n",
       "      <td>-0.20275</td>\n",
       "      <td>0.072688</td>\n",
       "      <td>-0.585781</td>\n",
       "      <td>-0.365094</td>\n",
       "      <td>-0.005437</td>\n",
       "      <td>-0.140906</td>\n",
       "      <td>-0.268625</td>\n",
       "      <td>0.068375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>-0.030479</td>\n",
       "      <td>-0.239867</td>\n",
       "      <td>-0.088211</td>\n",
       "      <td>-0.280891</td>\n",
       "      <td>-0.180516</td>\n",
       "      <td>-0.320625</td>\n",
       "      <td>0.029969</td>\n",
       "      <td>0.092125</td>\n",
       "      <td>0.183656</td>\n",
       "      <td>-0.643609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.268062</td>\n",
       "      <td>-0.070609</td>\n",
       "      <td>-0.37875</td>\n",
       "      <td>-0.296313</td>\n",
       "      <td>-0.651781</td>\n",
       "      <td>-0.031094</td>\n",
       "      <td>-0.259438</td>\n",
       "      <td>0.035094</td>\n",
       "      <td>0.150375</td>\n",
       "      <td>-0.003625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0.233521</td>\n",
       "      <td>0.099133</td>\n",
       "      <td>0.238789</td>\n",
       "      <td>0.103109</td>\n",
       "      <td>0.133484</td>\n",
       "      <td>-0.083625</td>\n",
       "      <td>0.157969</td>\n",
       "      <td>0.300125</td>\n",
       "      <td>0.225656</td>\n",
       "      <td>-0.722609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.348937</td>\n",
       "      <td>0.063391</td>\n",
       "      <td>-0.18475</td>\n",
       "      <td>0.280688</td>\n",
       "      <td>0.005219</td>\n",
       "      <td>0.202906</td>\n",
       "      <td>0.219563</td>\n",
       "      <td>0.045094</td>\n",
       "      <td>-0.289625</td>\n",
       "      <td>0.255375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0.118521</td>\n",
       "      <td>0.063133</td>\n",
       "      <td>-0.141211</td>\n",
       "      <td>0.195109</td>\n",
       "      <td>0.099484</td>\n",
       "      <td>0.122375</td>\n",
       "      <td>0.132969</td>\n",
       "      <td>0.155125</td>\n",
       "      <td>0.018656</td>\n",
       "      <td>0.170391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.295937</td>\n",
       "      <td>-0.000609</td>\n",
       "      <td>-0.25175</td>\n",
       "      <td>0.297688</td>\n",
       "      <td>0.743219</td>\n",
       "      <td>0.295906</td>\n",
       "      <td>0.050562</td>\n",
       "      <td>0.092094</td>\n",
       "      <td>0.013375</td>\n",
       "      <td>-0.081625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0.082521</td>\n",
       "      <td>0.091133</td>\n",
       "      <td>-0.200211</td>\n",
       "      <td>-0.025891</td>\n",
       "      <td>-0.040516</td>\n",
       "      <td>0.127375</td>\n",
       "      <td>0.325969</td>\n",
       "      <td>-0.005875</td>\n",
       "      <td>0.163656</td>\n",
       "      <td>-0.400609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.330938</td>\n",
       "      <td>0.069391</td>\n",
       "      <td>0.08425</td>\n",
       "      <td>0.048687</td>\n",
       "      <td>-1.270781</td>\n",
       "      <td>-0.003094</td>\n",
       "      <td>-0.223438</td>\n",
       "      <td>-0.095906</td>\n",
       "      <td>-0.071625</td>\n",
       "      <td>-0.353625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0.096521</td>\n",
       "      <td>0.027133</td>\n",
       "      <td>0.307789</td>\n",
       "      <td>0.160109</td>\n",
       "      <td>0.199484</td>\n",
       "      <td>0.275375</td>\n",
       "      <td>0.108969</td>\n",
       "      <td>0.174125</td>\n",
       "      <td>0.207656</td>\n",
       "      <td>0.047391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.167063</td>\n",
       "      <td>0.190391</td>\n",
       "      <td>-0.07175</td>\n",
       "      <td>0.139687</td>\n",
       "      <td>0.149219</td>\n",
       "      <td>-0.158094</td>\n",
       "      <td>0.384563</td>\n",
       "      <td>0.015094</td>\n",
       "      <td>0.318375</td>\n",
       "      <td>0.249375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0.022521</td>\n",
       "      <td>-0.115867</td>\n",
       "      <td>0.338789</td>\n",
       "      <td>0.332109</td>\n",
       "      <td>0.287484</td>\n",
       "      <td>0.348375</td>\n",
       "      <td>0.326969</td>\n",
       "      <td>0.203125</td>\n",
       "      <td>0.105656</td>\n",
       "      <td>0.112391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.237937</td>\n",
       "      <td>0.117391</td>\n",
       "      <td>0.15225</td>\n",
       "      <td>0.168687</td>\n",
       "      <td>0.243219</td>\n",
       "      <td>0.209906</td>\n",
       "      <td>0.010562</td>\n",
       "      <td>0.222094</td>\n",
       "      <td>0.129375</td>\n",
       "      <td>0.309375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>0.213521</td>\n",
       "      <td>-0.011867</td>\n",
       "      <td>-0.038211</td>\n",
       "      <td>0.083109</td>\n",
       "      <td>0.161484</td>\n",
       "      <td>-0.089625</td>\n",
       "      <td>0.293969</td>\n",
       "      <td>0.145125</td>\n",
       "      <td>0.073656</td>\n",
       "      <td>0.419391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.124062</td>\n",
       "      <td>0.270391</td>\n",
       "      <td>0.26025</td>\n",
       "      <td>-0.022312</td>\n",
       "      <td>0.802219</td>\n",
       "      <td>0.001906</td>\n",
       "      <td>-0.055438</td>\n",
       "      <td>0.320094</td>\n",
       "      <td>0.152375</td>\n",
       "      <td>-0.170625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>-0.172479</td>\n",
       "      <td>-0.327867</td>\n",
       "      <td>-0.032211</td>\n",
       "      <td>-0.098891</td>\n",
       "      <td>-0.176516</td>\n",
       "      <td>0.071375</td>\n",
       "      <td>-0.258031</td>\n",
       "      <td>-0.183875</td>\n",
       "      <td>-0.124344</td>\n",
       "      <td>0.547391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.145063</td>\n",
       "      <td>0.084391</td>\n",
       "      <td>0.11125</td>\n",
       "      <td>-0.633313</td>\n",
       "      <td>-0.069781</td>\n",
       "      <td>-0.003094</td>\n",
       "      <td>0.122563</td>\n",
       "      <td>0.095094</td>\n",
       "      <td>0.467375</td>\n",
       "      <td>0.121375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>-0.104479</td>\n",
       "      <td>-0.038867</td>\n",
       "      <td>-0.114211</td>\n",
       "      <td>0.318109</td>\n",
       "      <td>0.116484</td>\n",
       "      <td>0.035375</td>\n",
       "      <td>0.124969</td>\n",
       "      <td>-0.119875</td>\n",
       "      <td>0.014656</td>\n",
       "      <td>0.235391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.017063</td>\n",
       "      <td>-0.033609</td>\n",
       "      <td>-0.36975</td>\n",
       "      <td>-0.181313</td>\n",
       "      <td>0.234219</td>\n",
       "      <td>-0.397094</td>\n",
       "      <td>0.203562</td>\n",
       "      <td>-0.074906</td>\n",
       "      <td>-0.253625</td>\n",
       "      <td>-0.075625</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>-0.606479</td>\n",
       "      <td>-0.286867</td>\n",
       "      <td>-0.475211</td>\n",
       "      <td>-0.215891</td>\n",
       "      <td>-0.242516</td>\n",
       "      <td>-0.302625</td>\n",
       "      <td>-0.246031</td>\n",
       "      <td>-0.245875</td>\n",
       "      <td>-0.158344</td>\n",
       "      <td>-0.020609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.144062</td>\n",
       "      <td>-0.114609</td>\n",
       "      <td>-0.24575</td>\n",
       "      <td>-0.328313</td>\n",
       "      <td>-0.054781</td>\n",
       "      <td>-0.265094</td>\n",
       "      <td>-0.149438</td>\n",
       "      <td>-0.331906</td>\n",
       "      <td>-0.190625</td>\n",
       "      <td>-0.186625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>268</th>\n",
       "      <td>-0.092479</td>\n",
       "      <td>-0.177867</td>\n",
       "      <td>-0.002211</td>\n",
       "      <td>-0.201891</td>\n",
       "      <td>-0.213516</td>\n",
       "      <td>-0.309625</td>\n",
       "      <td>-0.177031</td>\n",
       "      <td>-0.147875</td>\n",
       "      <td>-0.331344</td>\n",
       "      <td>-0.350609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.084937</td>\n",
       "      <td>-0.079609</td>\n",
       "      <td>-0.23275</td>\n",
       "      <td>-0.052312</td>\n",
       "      <td>-0.033781</td>\n",
       "      <td>-0.406094</td>\n",
       "      <td>-0.170437</td>\n",
       "      <td>0.003094</td>\n",
       "      <td>0.029375</td>\n",
       "      <td>-0.225625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>269</th>\n",
       "      <td>-0.359479</td>\n",
       "      <td>-0.122867</td>\n",
       "      <td>0.013789</td>\n",
       "      <td>-0.054891</td>\n",
       "      <td>0.008484</td>\n",
       "      <td>0.097375</td>\n",
       "      <td>-0.171031</td>\n",
       "      <td>-0.225875</td>\n",
       "      <td>-0.378344</td>\n",
       "      <td>0.053391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.325063</td>\n",
       "      <td>-0.250609</td>\n",
       "      <td>-0.50575</td>\n",
       "      <td>-0.415313</td>\n",
       "      <td>-0.087781</td>\n",
       "      <td>-0.222094</td>\n",
       "      <td>-0.353438</td>\n",
       "      <td>-0.201906</td>\n",
       "      <td>0.175375</td>\n",
       "      <td>0.120375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>270</th>\n",
       "      <td>0.164521</td>\n",
       "      <td>0.222133</td>\n",
       "      <td>0.360789</td>\n",
       "      <td>0.109109</td>\n",
       "      <td>-0.015516</td>\n",
       "      <td>0.109375</td>\n",
       "      <td>0.226969</td>\n",
       "      <td>-0.198875</td>\n",
       "      <td>-0.105344</td>\n",
       "      <td>-0.420609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.063938</td>\n",
       "      <td>-0.159609</td>\n",
       "      <td>0.07225</td>\n",
       "      <td>0.073687</td>\n",
       "      <td>-0.338781</td>\n",
       "      <td>-0.027094</td>\n",
       "      <td>0.021562</td>\n",
       "      <td>0.055094</td>\n",
       "      <td>0.135375</td>\n",
       "      <td>-0.027625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>271</th>\n",
       "      <td>-0.058479</td>\n",
       "      <td>0.029133</td>\n",
       "      <td>0.077789</td>\n",
       "      <td>-0.072891</td>\n",
       "      <td>0.142484</td>\n",
       "      <td>0.023375</td>\n",
       "      <td>0.033969</td>\n",
       "      <td>-0.325875</td>\n",
       "      <td>-0.121344</td>\n",
       "      <td>-0.020609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.181062</td>\n",
       "      <td>-0.183609</td>\n",
       "      <td>-0.18175</td>\n",
       "      <td>0.030688</td>\n",
       "      <td>0.085219</td>\n",
       "      <td>0.102906</td>\n",
       "      <td>0.293562</td>\n",
       "      <td>0.215094</td>\n",
       "      <td>-0.036625</td>\n",
       "      <td>-0.101625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>272</th>\n",
       "      <td>-0.161479</td>\n",
       "      <td>-0.133867</td>\n",
       "      <td>-0.407211</td>\n",
       "      <td>-0.154891</td>\n",
       "      <td>-0.202516</td>\n",
       "      <td>-0.074625</td>\n",
       "      <td>-0.306031</td>\n",
       "      <td>-0.124875</td>\n",
       "      <td>-0.432344</td>\n",
       "      <td>0.111391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.416062</td>\n",
       "      <td>-0.230609</td>\n",
       "      <td>-0.17775</td>\n",
       "      <td>-0.502312</td>\n",
       "      <td>-0.076781</td>\n",
       "      <td>-0.263094</td>\n",
       "      <td>-0.054438</td>\n",
       "      <td>-0.093906</td>\n",
       "      <td>-0.259625</td>\n",
       "      <td>-0.139625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>273</th>\n",
       "      <td>-0.046479</td>\n",
       "      <td>-0.069867</td>\n",
       "      <td>-0.051211</td>\n",
       "      <td>0.289109</td>\n",
       "      <td>0.057484</td>\n",
       "      <td>0.143375</td>\n",
       "      <td>0.026969</td>\n",
       "      <td>-0.129875</td>\n",
       "      <td>-0.072344</td>\n",
       "      <td>-0.453609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.186062</td>\n",
       "      <td>-0.069609</td>\n",
       "      <td>-0.24075</td>\n",
       "      <td>-0.065313</td>\n",
       "      <td>-0.979781</td>\n",
       "      <td>-0.068094</td>\n",
       "      <td>-0.136437</td>\n",
       "      <td>-0.005906</td>\n",
       "      <td>0.154375</td>\n",
       "      <td>-0.165625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>274</th>\n",
       "      <td>0.589521</td>\n",
       "      <td>0.201133</td>\n",
       "      <td>0.967789</td>\n",
       "      <td>0.083109</td>\n",
       "      <td>0.249484</td>\n",
       "      <td>0.060375</td>\n",
       "      <td>0.236969</td>\n",
       "      <td>0.258125</td>\n",
       "      <td>0.002656</td>\n",
       "      <td>-0.217609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.052938</td>\n",
       "      <td>-0.040609</td>\n",
       "      <td>-0.12375</td>\n",
       "      <td>-0.025313</td>\n",
       "      <td>0.371219</td>\n",
       "      <td>0.030906</td>\n",
       "      <td>-0.316438</td>\n",
       "      <td>0.007094</td>\n",
       "      <td>-0.012625</td>\n",
       "      <td>0.242375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>275</th>\n",
       "      <td>0.288521</td>\n",
       "      <td>0.101133</td>\n",
       "      <td>0.132789</td>\n",
       "      <td>-0.112891</td>\n",
       "      <td>0.010484</td>\n",
       "      <td>0.015375</td>\n",
       "      <td>0.010969</td>\n",
       "      <td>0.153125</td>\n",
       "      <td>0.077656</td>\n",
       "      <td>0.130391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.125938</td>\n",
       "      <td>-0.054609</td>\n",
       "      <td>0.01525</td>\n",
       "      <td>-0.154312</td>\n",
       "      <td>0.199219</td>\n",
       "      <td>0.019906</td>\n",
       "      <td>-0.006438</td>\n",
       "      <td>-0.022906</td>\n",
       "      <td>-0.059625</td>\n",
       "      <td>0.011375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>276</th>\n",
       "      <td>-0.199479</td>\n",
       "      <td>-0.126867</td>\n",
       "      <td>-0.137211</td>\n",
       "      <td>-0.063891</td>\n",
       "      <td>-0.266516</td>\n",
       "      <td>-0.137625</td>\n",
       "      <td>-0.183031</td>\n",
       "      <td>-0.040875</td>\n",
       "      <td>-0.173344</td>\n",
       "      <td>-1.109609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.209062</td>\n",
       "      <td>-0.327609</td>\n",
       "      <td>-0.25275</td>\n",
       "      <td>-0.034312</td>\n",
       "      <td>-0.152781</td>\n",
       "      <td>-0.111094</td>\n",
       "      <td>-0.326437</td>\n",
       "      <td>-0.160906</td>\n",
       "      <td>-0.473625</td>\n",
       "      <td>-0.482625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>277</th>\n",
       "      <td>-0.117479</td>\n",
       "      <td>-0.190867</td>\n",
       "      <td>-0.160211</td>\n",
       "      <td>0.037109</td>\n",
       "      <td>-0.175516</td>\n",
       "      <td>0.092375</td>\n",
       "      <td>-0.165031</td>\n",
       "      <td>0.031125</td>\n",
       "      <td>-0.067344</td>\n",
       "      <td>0.305391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.066062</td>\n",
       "      <td>-0.154609</td>\n",
       "      <td>0.02325</td>\n",
       "      <td>-0.097312</td>\n",
       "      <td>0.235219</td>\n",
       "      <td>-0.103094</td>\n",
       "      <td>0.136563</td>\n",
       "      <td>-0.280906</td>\n",
       "      <td>-0.127625</td>\n",
       "      <td>0.191375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>278</th>\n",
       "      <td>-0.022479</td>\n",
       "      <td>0.034133</td>\n",
       "      <td>0.187789</td>\n",
       "      <td>-0.231891</td>\n",
       "      <td>0.117484</td>\n",
       "      <td>-0.216625</td>\n",
       "      <td>0.071969</td>\n",
       "      <td>-0.130875</td>\n",
       "      <td>0.011656</td>\n",
       "      <td>0.494391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.182937</td>\n",
       "      <td>-0.279609</td>\n",
       "      <td>-0.09675</td>\n",
       "      <td>0.086688</td>\n",
       "      <td>0.746219</td>\n",
       "      <td>-0.308094</td>\n",
       "      <td>-0.094438</td>\n",
       "      <td>-0.160906</td>\n",
       "      <td>-0.287625</td>\n",
       "      <td>-0.188625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>279</th>\n",
       "      <td>-0.199479</td>\n",
       "      <td>-0.131867</td>\n",
       "      <td>-0.120211</td>\n",
       "      <td>0.221109</td>\n",
       "      <td>0.143484</td>\n",
       "      <td>-0.052625</td>\n",
       "      <td>-0.005031</td>\n",
       "      <td>-0.267875</td>\n",
       "      <td>-0.103344</td>\n",
       "      <td>-0.024609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.205063</td>\n",
       "      <td>0.046391</td>\n",
       "      <td>-0.27775</td>\n",
       "      <td>-0.335313</td>\n",
       "      <td>0.534219</td>\n",
       "      <td>-0.286094</td>\n",
       "      <td>0.269563</td>\n",
       "      <td>-0.103906</td>\n",
       "      <td>-0.185625</td>\n",
       "      <td>0.169375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>280</th>\n",
       "      <td>0.038521</td>\n",
       "      <td>0.112133</td>\n",
       "      <td>-0.319211</td>\n",
       "      <td>-0.163891</td>\n",
       "      <td>0.036484</td>\n",
       "      <td>-0.075625</td>\n",
       "      <td>-0.058031</td>\n",
       "      <td>-0.083875</td>\n",
       "      <td>0.146656</td>\n",
       "      <td>-0.076609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.167937</td>\n",
       "      <td>-0.053609</td>\n",
       "      <td>-0.02775</td>\n",
       "      <td>-0.048313</td>\n",
       "      <td>0.123219</td>\n",
       "      <td>0.143906</td>\n",
       "      <td>-0.200438</td>\n",
       "      <td>-0.177906</td>\n",
       "      <td>0.107375</td>\n",
       "      <td>0.206375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>281</th>\n",
       "      <td>-0.083479</td>\n",
       "      <td>-0.257867</td>\n",
       "      <td>-0.141211</td>\n",
       "      <td>-0.035891</td>\n",
       "      <td>-0.219516</td>\n",
       "      <td>0.103375</td>\n",
       "      <td>-0.147031</td>\n",
       "      <td>-0.212875</td>\n",
       "      <td>-0.300344</td>\n",
       "      <td>-0.572609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.004062</td>\n",
       "      <td>-0.269609</td>\n",
       "      <td>-0.08475</td>\n",
       "      <td>-0.586313</td>\n",
       "      <td>-0.492781</td>\n",
       "      <td>-0.408094</td>\n",
       "      <td>0.189563</td>\n",
       "      <td>-0.211906</td>\n",
       "      <td>-0.393625</td>\n",
       "      <td>-0.037625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>282</th>\n",
       "      <td>0.302521</td>\n",
       "      <td>0.272133</td>\n",
       "      <td>0.053789</td>\n",
       "      <td>0.406109</td>\n",
       "      <td>-0.258516</td>\n",
       "      <td>0.197375</td>\n",
       "      <td>-0.067031</td>\n",
       "      <td>0.060125</td>\n",
       "      <td>0.257656</td>\n",
       "      <td>0.080391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.091063</td>\n",
       "      <td>-0.028609</td>\n",
       "      <td>-0.07575</td>\n",
       "      <td>-0.102313</td>\n",
       "      <td>-0.351781</td>\n",
       "      <td>-0.001094</td>\n",
       "      <td>0.171562</td>\n",
       "      <td>0.146094</td>\n",
       "      <td>-0.085625</td>\n",
       "      <td>-0.049625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>283</th>\n",
       "      <td>-0.307479</td>\n",
       "      <td>-0.241867</td>\n",
       "      <td>-0.175211</td>\n",
       "      <td>-0.360891</td>\n",
       "      <td>-0.075516</td>\n",
       "      <td>-0.201625</td>\n",
       "      <td>-0.068031</td>\n",
       "      <td>-0.196875</td>\n",
       "      <td>-0.143344</td>\n",
       "      <td>-0.399609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.156938</td>\n",
       "      <td>0.445391</td>\n",
       "      <td>0.05325</td>\n",
       "      <td>-0.155312</td>\n",
       "      <td>-0.295781</td>\n",
       "      <td>-0.132094</td>\n",
       "      <td>0.089562</td>\n",
       "      <td>-0.419906</td>\n",
       "      <td>-0.034625</td>\n",
       "      <td>-0.150625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>284</th>\n",
       "      <td>-0.029479</td>\n",
       "      <td>-0.161867</td>\n",
       "      <td>0.328789</td>\n",
       "      <td>-0.156891</td>\n",
       "      <td>-0.178516</td>\n",
       "      <td>-0.258625</td>\n",
       "      <td>-0.502031</td>\n",
       "      <td>-0.099875</td>\n",
       "      <td>-0.018344</td>\n",
       "      <td>-0.285609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.452063</td>\n",
       "      <td>-0.628609</td>\n",
       "      <td>-0.60575</td>\n",
       "      <td>-0.118313</td>\n",
       "      <td>0.228219</td>\n",
       "      <td>0.203906</td>\n",
       "      <td>-0.059438</td>\n",
       "      <td>-0.321906</td>\n",
       "      <td>0.072375</td>\n",
       "      <td>-0.396625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>285</th>\n",
       "      <td>-0.218479</td>\n",
       "      <td>-0.197867</td>\n",
       "      <td>-0.186211</td>\n",
       "      <td>-0.320891</td>\n",
       "      <td>-0.347516</td>\n",
       "      <td>-0.364625</td>\n",
       "      <td>-0.047031</td>\n",
       "      <td>-0.176875</td>\n",
       "      <td>-0.433344</td>\n",
       "      <td>-0.885609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.260937</td>\n",
       "      <td>0.125391</td>\n",
       "      <td>-0.17875</td>\n",
       "      <td>-0.118313</td>\n",
       "      <td>-0.689781</td>\n",
       "      <td>0.174906</td>\n",
       "      <td>-0.621438</td>\n",
       "      <td>-0.173906</td>\n",
       "      <td>-0.066625</td>\n",
       "      <td>-0.090625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>286</th>\n",
       "      <td>-0.075479</td>\n",
       "      <td>-0.041867</td>\n",
       "      <td>0.202789</td>\n",
       "      <td>0.169109</td>\n",
       "      <td>0.151484</td>\n",
       "      <td>-0.143625</td>\n",
       "      <td>-0.032031</td>\n",
       "      <td>-0.138875</td>\n",
       "      <td>0.302656</td>\n",
       "      <td>-0.438609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.099937</td>\n",
       "      <td>-0.216609</td>\n",
       "      <td>-0.12675</td>\n",
       "      <td>-0.132312</td>\n",
       "      <td>-0.495781</td>\n",
       "      <td>0.105906</td>\n",
       "      <td>0.167563</td>\n",
       "      <td>-0.051906</td>\n",
       "      <td>-0.105625</td>\n",
       "      <td>0.080375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>287</th>\n",
       "      <td>0.134521</td>\n",
       "      <td>-0.046867</td>\n",
       "      <td>-0.314211</td>\n",
       "      <td>-0.010891</td>\n",
       "      <td>-0.024516</td>\n",
       "      <td>-0.001625</td>\n",
       "      <td>0.076969</td>\n",
       "      <td>-0.023875</td>\n",
       "      <td>-0.022344</td>\n",
       "      <td>-0.292609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.023938</td>\n",
       "      <td>0.147391</td>\n",
       "      <td>-0.16475</td>\n",
       "      <td>0.148687</td>\n",
       "      <td>0.218219</td>\n",
       "      <td>-0.226094</td>\n",
       "      <td>0.456563</td>\n",
       "      <td>-0.170906</td>\n",
       "      <td>-0.065625</td>\n",
       "      <td>-0.045625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>288</th>\n",
       "      <td>-0.149479</td>\n",
       "      <td>-0.062867</td>\n",
       "      <td>0.031789</td>\n",
       "      <td>-0.108891</td>\n",
       "      <td>-0.088516</td>\n",
       "      <td>0.235375</td>\n",
       "      <td>-0.108031</td>\n",
       "      <td>0.166125</td>\n",
       "      <td>0.323656</td>\n",
       "      <td>0.018391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.189062</td>\n",
       "      <td>0.229391</td>\n",
       "      <td>-0.02775</td>\n",
       "      <td>0.164687</td>\n",
       "      <td>0.060219</td>\n",
       "      <td>0.207906</td>\n",
       "      <td>-0.544438</td>\n",
       "      <td>-0.007906</td>\n",
       "      <td>0.253375</td>\n",
       "      <td>-0.094625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>289</th>\n",
       "      <td>-0.211479</td>\n",
       "      <td>0.041133</td>\n",
       "      <td>0.046789</td>\n",
       "      <td>-0.130891</td>\n",
       "      <td>-0.176516</td>\n",
       "      <td>-0.134625</td>\n",
       "      <td>-0.159031</td>\n",
       "      <td>-0.045875</td>\n",
       "      <td>-0.026344</td>\n",
       "      <td>0.168391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.013937</td>\n",
       "      <td>-0.209609</td>\n",
       "      <td>-0.05075</td>\n",
       "      <td>-0.103312</td>\n",
       "      <td>0.420219</td>\n",
       "      <td>-0.298094</td>\n",
       "      <td>-0.220438</td>\n",
       "      <td>-0.129906</td>\n",
       "      <td>-0.189625</td>\n",
       "      <td>-0.112625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>290</th>\n",
       "      <td>-0.405479</td>\n",
       "      <td>0.041133</td>\n",
       "      <td>-0.357211</td>\n",
       "      <td>-0.476891</td>\n",
       "      <td>-0.216516</td>\n",
       "      <td>-0.099625</td>\n",
       "      <td>0.135969</td>\n",
       "      <td>-0.443875</td>\n",
       "      <td>-0.289344</td>\n",
       "      <td>0.150391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.053062</td>\n",
       "      <td>-0.120609</td>\n",
       "      <td>-0.19975</td>\n",
       "      <td>0.044688</td>\n",
       "      <td>0.103219</td>\n",
       "      <td>-0.094094</td>\n",
       "      <td>-0.302437</td>\n",
       "      <td>-0.223906</td>\n",
       "      <td>-0.084625</td>\n",
       "      <td>0.017375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>291</th>\n",
       "      <td>-0.055479</td>\n",
       "      <td>-0.082867</td>\n",
       "      <td>0.125789</td>\n",
       "      <td>0.079109</td>\n",
       "      <td>-0.121516</td>\n",
       "      <td>0.224375</td>\n",
       "      <td>0.011969</td>\n",
       "      <td>0.133125</td>\n",
       "      <td>-0.014344</td>\n",
       "      <td>0.403391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.140063</td>\n",
       "      <td>0.280391</td>\n",
       "      <td>-0.08175</td>\n",
       "      <td>-0.354312</td>\n",
       "      <td>0.188219</td>\n",
       "      <td>0.304906</td>\n",
       "      <td>-0.315437</td>\n",
       "      <td>0.548094</td>\n",
       "      <td>0.350375</td>\n",
       "      <td>-0.102625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>292</th>\n",
       "      <td>-0.067479</td>\n",
       "      <td>-0.115867</td>\n",
       "      <td>-0.010211</td>\n",
       "      <td>-0.233891</td>\n",
       "      <td>0.180484</td>\n",
       "      <td>-0.049625</td>\n",
       "      <td>-0.110031</td>\n",
       "      <td>0.013125</td>\n",
       "      <td>0.073656</td>\n",
       "      <td>-0.175609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.443062</td>\n",
       "      <td>-0.208609</td>\n",
       "      <td>-0.00275</td>\n",
       "      <td>0.407688</td>\n",
       "      <td>-0.000781</td>\n",
       "      <td>0.121906</td>\n",
       "      <td>0.308562</td>\n",
       "      <td>0.239094</td>\n",
       "      <td>0.172375</td>\n",
       "      <td>0.214375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>293</th>\n",
       "      <td>0.012521</td>\n",
       "      <td>0.234133</td>\n",
       "      <td>-0.090211</td>\n",
       "      <td>0.100109</td>\n",
       "      <td>0.070484</td>\n",
       "      <td>-0.174625</td>\n",
       "      <td>-0.120031</td>\n",
       "      <td>0.002125</td>\n",
       "      <td>0.106656</td>\n",
       "      <td>-0.036609</td>\n",
       "      <td>...</td>\n",
       "      <td>0.201938</td>\n",
       "      <td>-0.393609</td>\n",
       "      <td>-0.04875</td>\n",
       "      <td>0.076687</td>\n",
       "      <td>-0.416781</td>\n",
       "      <td>-0.015094</td>\n",
       "      <td>-0.094438</td>\n",
       "      <td>0.170094</td>\n",
       "      <td>0.285375</td>\n",
       "      <td>0.093375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>294</th>\n",
       "      <td>0.064521</td>\n",
       "      <td>0.068133</td>\n",
       "      <td>-0.298211</td>\n",
       "      <td>-0.021891</td>\n",
       "      <td>0.084484</td>\n",
       "      <td>-0.131625</td>\n",
       "      <td>-0.346031</td>\n",
       "      <td>-0.185875</td>\n",
       "      <td>-0.347344</td>\n",
       "      <td>0.472391</td>\n",
       "      <td>...</td>\n",
       "      <td>0.303937</td>\n",
       "      <td>0.012391</td>\n",
       "      <td>0.21025</td>\n",
       "      <td>-0.358313</td>\n",
       "      <td>0.062219</td>\n",
       "      <td>-0.012094</td>\n",
       "      <td>0.146562</td>\n",
       "      <td>0.007094</td>\n",
       "      <td>-0.221625</td>\n",
       "      <td>0.276375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>295</th>\n",
       "      <td>0.051521</td>\n",
       "      <td>-0.272867</td>\n",
       "      <td>0.177789</td>\n",
       "      <td>-0.041891</td>\n",
       "      <td>-0.316516</td>\n",
       "      <td>-0.093625</td>\n",
       "      <td>-0.206031</td>\n",
       "      <td>0.174125</td>\n",
       "      <td>-0.287344</td>\n",
       "      <td>0.298391</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.241062</td>\n",
       "      <td>-0.476609</td>\n",
       "      <td>0.01525</td>\n",
       "      <td>0.086688</td>\n",
       "      <td>-0.492781</td>\n",
       "      <td>-0.277094</td>\n",
       "      <td>-0.348438</td>\n",
       "      <td>-0.215906</td>\n",
       "      <td>0.112375</td>\n",
       "      <td>-0.198625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>296</th>\n",
       "      <td>-0.208479</td>\n",
       "      <td>0.041133</td>\n",
       "      <td>0.208789</td>\n",
       "      <td>-0.159891</td>\n",
       "      <td>0.089484</td>\n",
       "      <td>-0.107625</td>\n",
       "      <td>-0.198031</td>\n",
       "      <td>0.209125</td>\n",
       "      <td>-0.121344</td>\n",
       "      <td>-0.072609</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.048062</td>\n",
       "      <td>0.270391</td>\n",
       "      <td>0.12225</td>\n",
       "      <td>0.202688</td>\n",
       "      <td>0.306219</td>\n",
       "      <td>0.361906</td>\n",
       "      <td>0.009562</td>\n",
       "      <td>0.167094</td>\n",
       "      <td>0.462375</td>\n",
       "      <td>-0.238625</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            -0.018479          -0.039867                          0.038789   \n",
       "1             0.278521           0.351133                          0.485789   \n",
       "2             0.166521           0.078133                          0.368789   \n",
       "3            -0.088479          -0.252867                         -0.401211   \n",
       "4             0.398521           0.133133                          0.128789   \n",
       "5             0.008521          -0.093867                         -0.245211   \n",
       "6            -0.120479           0.130133                          0.092789   \n",
       "7             0.104521           0.040133                          0.358789   \n",
       "8             0.431521           0.034133                          0.194789   \n",
       "9             0.189521           0.078133                          0.096789   \n",
       "10           -1.038479          -0.762867                         -0.618211   \n",
       "11            0.181521           0.152133                         -0.097211   \n",
       "12           -0.060479          -0.225867                         -0.227211   \n",
       "13            0.198521          -0.051867                          0.035789   \n",
       "14            0.219521           0.371133                          0.110789   \n",
       "15            0.073521          -0.144867                         -0.158211   \n",
       "16           -0.049479           0.223133                         -0.064211   \n",
       "17            0.053521          -0.058867                          0.167789   \n",
       "18           -0.329479           0.125133                         -0.257211   \n",
       "19           -0.014479          -0.093867                          0.502789   \n",
       "20            0.050521          -0.099867                          0.882789   \n",
       "21           -0.030479          -0.239867                         -0.088211   \n",
       "22            0.233521           0.099133                          0.238789   \n",
       "23            0.118521           0.063133                         -0.141211   \n",
       "24            0.082521           0.091133                         -0.200211   \n",
       "25            0.096521           0.027133                          0.307789   \n",
       "26            0.022521          -0.115867                          0.338789   \n",
       "27            0.213521          -0.011867                         -0.038211   \n",
       "28           -0.172479          -0.327867                         -0.032211   \n",
       "29           -0.104479          -0.038867                         -0.114211   \n",
       "..                 ...                ...                               ...   \n",
       "267          -0.606479          -0.286867                         -0.475211   \n",
       "268          -0.092479          -0.177867                         -0.002211   \n",
       "269          -0.359479          -0.122867                          0.013789   \n",
       "270           0.164521           0.222133                          0.360789   \n",
       "271          -0.058479           0.029133                          0.077789   \n",
       "272          -0.161479          -0.133867                         -0.407211   \n",
       "273          -0.046479          -0.069867                         -0.051211   \n",
       "274           0.589521           0.201133                          0.967789   \n",
       "275           0.288521           0.101133                          0.132789   \n",
       "276          -0.199479          -0.126867                         -0.137211   \n",
       "277          -0.117479          -0.190867                         -0.160211   \n",
       "278          -0.022479           0.034133                          0.187789   \n",
       "279          -0.199479          -0.131867                         -0.120211   \n",
       "280           0.038521           0.112133                         -0.319211   \n",
       "281          -0.083479          -0.257867                         -0.141211   \n",
       "282           0.302521           0.272133                          0.053789   \n",
       "283          -0.307479          -0.241867                         -0.175211   \n",
       "284          -0.029479          -0.161867                          0.328789   \n",
       "285          -0.218479          -0.197867                         -0.186211   \n",
       "286          -0.075479          -0.041867                          0.202789   \n",
       "287           0.134521          -0.046867                         -0.314211   \n",
       "288          -0.149479          -0.062867                          0.031789   \n",
       "289          -0.211479           0.041133                          0.046789   \n",
       "290          -0.405479           0.041133                         -0.357211   \n",
       "291          -0.055479          -0.082867                          0.125789   \n",
       "292          -0.067479          -0.115867                         -0.010211   \n",
       "293           0.012521           0.234133                         -0.090211   \n",
       "294           0.064521           0.068133                         -0.298211   \n",
       "295           0.051521          -0.272867                          0.177789   \n",
       "296          -0.208479           0.041133                          0.208789   \n",
       "\n",
       "     lh_caudalmiddlefrontal_part1  lh_caudalmiddlefrontal_part2  \\\n",
       "0                       -0.004891                      0.042484   \n",
       "1                        0.697109                      0.408484   \n",
       "2                        0.412109                      0.285484   \n",
       "3                       -0.362891                     -0.044516   \n",
       "4                       -0.218891                     -1.001516   \n",
       "5                       -0.131891                     -0.078516   \n",
       "6                        0.047109                      0.270484   \n",
       "7                        0.174109                      0.251484   \n",
       "8                        0.103109                      0.208484   \n",
       "9                        0.100109                      0.014484   \n",
       "10                       0.058109                     -0.296516   \n",
       "11                       0.186109                     -0.034516   \n",
       "12                       0.373109                      0.221484   \n",
       "13                      -0.106891                      0.050484   \n",
       "14                      -0.115891                      0.154484   \n",
       "15                       0.162109                     -0.098516   \n",
       "16                       0.019109                      0.167484   \n",
       "17                      -0.322891                     -0.027516   \n",
       "18                       0.251109                     -0.098516   \n",
       "19                      -0.071891                      0.113484   \n",
       "20                      -0.218891                     -0.085516   \n",
       "21                      -0.280891                     -0.180516   \n",
       "22                       0.103109                      0.133484   \n",
       "23                       0.195109                      0.099484   \n",
       "24                      -0.025891                     -0.040516   \n",
       "25                       0.160109                      0.199484   \n",
       "26                       0.332109                      0.287484   \n",
       "27                       0.083109                      0.161484   \n",
       "28                      -0.098891                     -0.176516   \n",
       "29                       0.318109                      0.116484   \n",
       "..                            ...                           ...   \n",
       "267                     -0.215891                     -0.242516   \n",
       "268                     -0.201891                     -0.213516   \n",
       "269                     -0.054891                      0.008484   \n",
       "270                      0.109109                     -0.015516   \n",
       "271                     -0.072891                      0.142484   \n",
       "272                     -0.154891                     -0.202516   \n",
       "273                      0.289109                      0.057484   \n",
       "274                      0.083109                      0.249484   \n",
       "275                     -0.112891                      0.010484   \n",
       "276                     -0.063891                     -0.266516   \n",
       "277                      0.037109                     -0.175516   \n",
       "278                     -0.231891                      0.117484   \n",
       "279                      0.221109                      0.143484   \n",
       "280                     -0.163891                      0.036484   \n",
       "281                     -0.035891                     -0.219516   \n",
       "282                      0.406109                     -0.258516   \n",
       "283                     -0.360891                     -0.075516   \n",
       "284                     -0.156891                     -0.178516   \n",
       "285                     -0.320891                     -0.347516   \n",
       "286                      0.169109                      0.151484   \n",
       "287                     -0.010891                     -0.024516   \n",
       "288                     -0.108891                     -0.088516   \n",
       "289                     -0.130891                     -0.176516   \n",
       "290                     -0.476891                     -0.216516   \n",
       "291                      0.079109                     -0.121516   \n",
       "292                     -0.233891                      0.180484   \n",
       "293                      0.100109                      0.070484   \n",
       "294                     -0.021891                      0.084484   \n",
       "295                     -0.041891                     -0.316516   \n",
       "296                     -0.159891                      0.089484   \n",
       "\n",
       "     lh_caudalmiddlefrontal_part3  lh_caudalmiddlefrontal_part4  \\\n",
       "0                       -0.005625                     -0.259031   \n",
       "1                        0.445375                      0.383969   \n",
       "2                        0.187375                      0.569969   \n",
       "3                       -0.154625                     -0.163031   \n",
       "4                       -0.142625                     -0.759031   \n",
       "5                       -0.110625                     -0.149031   \n",
       "6                        0.017375                     -0.044031   \n",
       "7                        0.068375                     -0.024031   \n",
       "8                       -0.091625                      0.203969   \n",
       "9                        0.180375                      0.116969   \n",
       "10                       0.005375                     -0.426031   \n",
       "11                       0.206375                      0.147969   \n",
       "12                       0.234375                      0.011969   \n",
       "13                      -0.502625                     -0.115031   \n",
       "14                      -0.089625                      0.025969   \n",
       "15                      -0.026625                     -0.152031   \n",
       "16                      -0.168625                     -0.131031   \n",
       "17                      -0.139625                     -0.110031   \n",
       "18                       0.145375                     -0.098031   \n",
       "19                       0.023375                      0.096969   \n",
       "20                      -0.296625                     -0.238031   \n",
       "21                      -0.320625                      0.029969   \n",
       "22                      -0.083625                      0.157969   \n",
       "23                       0.122375                      0.132969   \n",
       "24                       0.127375                      0.325969   \n",
       "25                       0.275375                      0.108969   \n",
       "26                       0.348375                      0.326969   \n",
       "27                      -0.089625                      0.293969   \n",
       "28                       0.071375                     -0.258031   \n",
       "29                       0.035375                      0.124969   \n",
       "..                            ...                           ...   \n",
       "267                     -0.302625                     -0.246031   \n",
       "268                     -0.309625                     -0.177031   \n",
       "269                      0.097375                     -0.171031   \n",
       "270                      0.109375                      0.226969   \n",
       "271                      0.023375                      0.033969   \n",
       "272                     -0.074625                     -0.306031   \n",
       "273                      0.143375                      0.026969   \n",
       "274                      0.060375                      0.236969   \n",
       "275                      0.015375                      0.010969   \n",
       "276                     -0.137625                     -0.183031   \n",
       "277                      0.092375                     -0.165031   \n",
       "278                     -0.216625                      0.071969   \n",
       "279                     -0.052625                     -0.005031   \n",
       "280                     -0.075625                     -0.058031   \n",
       "281                      0.103375                     -0.147031   \n",
       "282                      0.197375                     -0.067031   \n",
       "283                     -0.201625                     -0.068031   \n",
       "284                     -0.258625                     -0.502031   \n",
       "285                     -0.364625                     -0.047031   \n",
       "286                     -0.143625                     -0.032031   \n",
       "287                     -0.001625                      0.076969   \n",
       "288                      0.235375                     -0.108031   \n",
       "289                     -0.134625                     -0.159031   \n",
       "290                     -0.099625                      0.135969   \n",
       "291                      0.224375                      0.011969   \n",
       "292                     -0.049625                     -0.110031   \n",
       "293                     -0.174625                     -0.120031   \n",
       "294                     -0.131625                     -0.346031   \n",
       "295                     -0.093625                     -0.206031   \n",
       "296                     -0.107625                     -0.198031   \n",
       "\n",
       "     lh_cuneus_part1  lh_cuneus_part2  lh_entorhinal_part1  ...  \\\n",
       "0          -0.181875        -0.207344            -0.125609  ...   \n",
       "1           0.315125         0.374656             0.334391  ...   \n",
       "2          -0.072875        -0.077344             0.368391  ...   \n",
       "3           0.018125        -0.261344            -0.015609  ...   \n",
       "4          -0.102875        -0.565344            -1.229609  ...   \n",
       "5           0.135125        -0.062344             0.149391  ...   \n",
       "6           0.050125         0.013656            -0.220609  ...   \n",
       "7           0.109125         0.080656             0.327391  ...   \n",
       "8          -0.116875        -0.005344             0.382391  ...   \n",
       "9          -0.073875        -0.195344            -0.329609  ...   \n",
       "10          0.337125         0.217656            -1.003609  ...   \n",
       "11          0.009125        -0.068344            -0.001609  ...   \n",
       "12          0.015125         0.075656             0.295391  ...   \n",
       "13          0.116125        -0.119344            -0.049609  ...   \n",
       "14          0.169125         0.272656            -0.428609  ...   \n",
       "15          0.198125        -0.085344            -0.524609  ...   \n",
       "16         -0.323875        -0.050344             0.106391  ...   \n",
       "17         -0.015875         0.061656             0.063391  ...   \n",
       "18         -0.008875         0.023656             0.225391  ...   \n",
       "19         -0.289875         0.038656             0.230391  ...   \n",
       "20         -0.091875        -0.227344            -0.602609  ...   \n",
       "21          0.092125         0.183656            -0.643609  ...   \n",
       "22          0.300125         0.225656            -0.722609  ...   \n",
       "23          0.155125         0.018656             0.170391  ...   \n",
       "24         -0.005875         0.163656            -0.400609  ...   \n",
       "25          0.174125         0.207656             0.047391  ...   \n",
       "26          0.203125         0.105656             0.112391  ...   \n",
       "27          0.145125         0.073656             0.419391  ...   \n",
       "28         -0.183875        -0.124344             0.547391  ...   \n",
       "29         -0.119875         0.014656             0.235391  ...   \n",
       "..               ...              ...                  ...  ...   \n",
       "267        -0.245875        -0.158344            -0.020609  ...   \n",
       "268        -0.147875        -0.331344            -0.350609  ...   \n",
       "269        -0.225875        -0.378344             0.053391  ...   \n",
       "270        -0.198875        -0.105344            -0.420609  ...   \n",
       "271        -0.325875        -0.121344            -0.020609  ...   \n",
       "272        -0.124875        -0.432344             0.111391  ...   \n",
       "273        -0.129875        -0.072344            -0.453609  ...   \n",
       "274         0.258125         0.002656            -0.217609  ...   \n",
       "275         0.153125         0.077656             0.130391  ...   \n",
       "276        -0.040875        -0.173344            -1.109609  ...   \n",
       "277         0.031125        -0.067344             0.305391  ...   \n",
       "278        -0.130875         0.011656             0.494391  ...   \n",
       "279        -0.267875        -0.103344            -0.024609  ...   \n",
       "280        -0.083875         0.146656            -0.076609  ...   \n",
       "281        -0.212875        -0.300344            -0.572609  ...   \n",
       "282         0.060125         0.257656             0.080391  ...   \n",
       "283        -0.196875        -0.143344            -0.399609  ...   \n",
       "284        -0.099875        -0.018344            -0.285609  ...   \n",
       "285        -0.176875        -0.433344            -0.885609  ...   \n",
       "286        -0.138875         0.302656            -0.438609  ...   \n",
       "287        -0.023875        -0.022344            -0.292609  ...   \n",
       "288         0.166125         0.323656             0.018391  ...   \n",
       "289        -0.045875        -0.026344             0.168391  ...   \n",
       "290        -0.443875        -0.289344             0.150391  ...   \n",
       "291         0.133125        -0.014344             0.403391  ...   \n",
       "292         0.013125         0.073656            -0.175609  ...   \n",
       "293         0.002125         0.106656            -0.036609  ...   \n",
       "294        -0.185875        -0.347344             0.472391  ...   \n",
       "295         0.174125        -0.287344             0.298391  ...   \n",
       "296         0.209125        -0.121344            -0.072609  ...   \n",
       "\n",
       "     rh_supramarginal_part5  rh_supramarginal_part6  rh_supramarginal_part7  \\\n",
       "0                 -0.447062               -0.133609                -0.40075   \n",
       "1                  0.408937                0.308391                 0.02125   \n",
       "2                  0.486938                0.294391                 0.35725   \n",
       "3                 -0.209062               -0.057609                -0.07175   \n",
       "4                 -0.350063                0.319391                 0.10125   \n",
       "5                 -0.123062               -0.084609                -0.14975   \n",
       "6                  0.054937                0.017391                -0.01375   \n",
       "7                  0.401938                0.124391                 0.23525   \n",
       "8                  0.077937                0.172391                 0.29525   \n",
       "9                 -0.223062               -0.032609                -0.19275   \n",
       "10                -0.489063                0.143391                -0.01075   \n",
       "11                 0.123938               -0.123609                -0.13375   \n",
       "12                 0.076938                0.049391                -0.07375   \n",
       "13                 0.608938                0.140391                 0.28625   \n",
       "14                -0.112062               -0.227609                -0.08175   \n",
       "15                 0.240937                0.009391                -0.23375   \n",
       "16                 0.030937               -0.101609                -0.05275   \n",
       "17                -0.183062               -0.127609                 0.01525   \n",
       "18                 0.235937                0.331391                 0.18625   \n",
       "19                -0.029063                0.023391                -0.10175   \n",
       "20                 0.229937               -0.177609                -0.20275   \n",
       "21                -0.268062               -0.070609                -0.37875   \n",
       "22                 0.348937                0.063391                -0.18475   \n",
       "23                 0.295937               -0.000609                -0.25175   \n",
       "24                 0.330938                0.069391                 0.08425   \n",
       "25                -0.167063                0.190391                -0.07175   \n",
       "26                 0.237937                0.117391                 0.15225   \n",
       "27                -0.124062                0.270391                 0.26025   \n",
       "28                -0.145063                0.084391                 0.11125   \n",
       "29                -0.017063               -0.033609                -0.36975   \n",
       "..                      ...                     ...                     ...   \n",
       "267               -0.144062               -0.114609                -0.24575   \n",
       "268                0.084937               -0.079609                -0.23275   \n",
       "269               -0.325063               -0.250609                -0.50575   \n",
       "270                0.063938               -0.159609                 0.07225   \n",
       "271               -0.181062               -0.183609                -0.18175   \n",
       "272               -0.416062               -0.230609                -0.17775   \n",
       "273               -0.186062               -0.069609                -0.24075   \n",
       "274                0.052938               -0.040609                -0.12375   \n",
       "275                0.125938               -0.054609                 0.01525   \n",
       "276               -0.209062               -0.327609                -0.25275   \n",
       "277               -0.066062               -0.154609                 0.02325   \n",
       "278                0.182937               -0.279609                -0.09675   \n",
       "279               -0.205063                0.046391                -0.27775   \n",
       "280                0.167937               -0.053609                -0.02775   \n",
       "281               -0.004062               -0.269609                -0.08475   \n",
       "282               -0.091063               -0.028609                -0.07575   \n",
       "283                0.156938                0.445391                 0.05325   \n",
       "284               -0.452063               -0.628609                -0.60575   \n",
       "285                0.260937                0.125391                -0.17875   \n",
       "286                0.099937               -0.216609                -0.12675   \n",
       "287                0.023938                0.147391                -0.16475   \n",
       "288               -0.189062                0.229391                -0.02775   \n",
       "289                0.013937               -0.209609                -0.05075   \n",
       "290               -0.053062               -0.120609                -0.19975   \n",
       "291               -0.140063                0.280391                -0.08175   \n",
       "292               -0.443062               -0.208609                -0.00275   \n",
       "293                0.201938               -0.393609                -0.04875   \n",
       "294                0.303937                0.012391                 0.21025   \n",
       "295               -0.241062               -0.476609                 0.01525   \n",
       "296               -0.048062                0.270391                 0.12225   \n",
       "\n",
       "     rh_frontalpole_part1  rh_temporalpole_part1  rh_transversetemporal_part1  \\\n",
       "0               -0.459313              -0.149781                    -0.108094   \n",
       "1                0.279688               0.368219                     0.293906   \n",
       "2                0.187688               0.224219                     0.167906   \n",
       "3               -0.149312              -0.274781                     0.298906   \n",
       "4               -0.406312              -1.524781                    -0.012094   \n",
       "5               -0.137312              -0.247781                     0.204906   \n",
       "6               -0.090313               0.304219                    -0.112094   \n",
       "7               -0.252312              -0.220781                     0.324906   \n",
       "8               -0.106313               0.170219                     0.057906   \n",
       "9                0.504688              -0.001781                     0.118906   \n",
       "10              -0.563313              -0.155781                     0.285906   \n",
       "11              -0.007312               0.227219                     0.129906   \n",
       "12               0.038687              -0.199781                     0.122906   \n",
       "13               0.390688              -0.469781                     0.383906   \n",
       "14               0.175688               0.165219                     0.021906   \n",
       "15               0.273687              -0.053781                    -0.369094   \n",
       "16               0.278687               0.386219                     0.110906   \n",
       "17              -0.309312               0.237219                     0.157906   \n",
       "18               0.008687               0.046219                    -0.209094   \n",
       "19              -0.106313               0.063219                     0.080906   \n",
       "20               0.072688              -0.585781                    -0.365094   \n",
       "21              -0.296313              -0.651781                    -0.031094   \n",
       "22               0.280688               0.005219                     0.202906   \n",
       "23               0.297688               0.743219                     0.295906   \n",
       "24               0.048687              -1.270781                    -0.003094   \n",
       "25               0.139687               0.149219                    -0.158094   \n",
       "26               0.168687               0.243219                     0.209906   \n",
       "27              -0.022312               0.802219                     0.001906   \n",
       "28              -0.633313              -0.069781                    -0.003094   \n",
       "29              -0.181313               0.234219                    -0.397094   \n",
       "..                    ...                    ...                          ...   \n",
       "267             -0.328313              -0.054781                    -0.265094   \n",
       "268             -0.052312              -0.033781                    -0.406094   \n",
       "269             -0.415313              -0.087781                    -0.222094   \n",
       "270              0.073687              -0.338781                    -0.027094   \n",
       "271              0.030688               0.085219                     0.102906   \n",
       "272             -0.502312              -0.076781                    -0.263094   \n",
       "273             -0.065313              -0.979781                    -0.068094   \n",
       "274             -0.025313               0.371219                     0.030906   \n",
       "275             -0.154312               0.199219                     0.019906   \n",
       "276             -0.034312              -0.152781                    -0.111094   \n",
       "277             -0.097312               0.235219                    -0.103094   \n",
       "278              0.086688               0.746219                    -0.308094   \n",
       "279             -0.335313               0.534219                    -0.286094   \n",
       "280             -0.048313               0.123219                     0.143906   \n",
       "281             -0.586313              -0.492781                    -0.408094   \n",
       "282             -0.102313              -0.351781                    -0.001094   \n",
       "283             -0.155312              -0.295781                    -0.132094   \n",
       "284             -0.118313               0.228219                     0.203906   \n",
       "285             -0.118313              -0.689781                     0.174906   \n",
       "286             -0.132312              -0.495781                     0.105906   \n",
       "287              0.148687               0.218219                    -0.226094   \n",
       "288              0.164687               0.060219                     0.207906   \n",
       "289             -0.103312               0.420219                    -0.298094   \n",
       "290              0.044688               0.103219                    -0.094094   \n",
       "291             -0.354312               0.188219                     0.304906   \n",
       "292              0.407688              -0.000781                     0.121906   \n",
       "293              0.076687              -0.416781                    -0.015094   \n",
       "294             -0.358313               0.062219                    -0.012094   \n",
       "295              0.086688              -0.492781                    -0.277094   \n",
       "296              0.202688               0.306219                     0.361906   \n",
       "\n",
       "     rh_insula_part1  rh_insula_part2  rh_insula_part3  rh_insula_part4  \n",
       "0          -0.340437        -0.170906        -0.202625        -0.426625  \n",
       "1           0.218562         0.189094         0.087375         0.093375  \n",
       "2           0.245562         0.144094         0.329375         0.064375  \n",
       "3          -0.510438        -0.014906        -0.557625        -0.166625  \n",
       "4          -0.857437         0.181094         0.147375        -0.112625  \n",
       "5           0.307563         0.071094         0.256375         0.066375  \n",
       "6          -0.052437        -0.026906        -0.103625         0.015375  \n",
       "7          -0.374438         0.004094        -0.039625        -0.151625  \n",
       "8           0.385562         0.013094        -0.071625         0.008375  \n",
       "9           0.394563        -0.196906        -0.228625         0.032375  \n",
       "10         -0.097437         0.062094         0.288375         0.300375  \n",
       "11         -0.225437        -0.050906        -0.363625         0.187375  \n",
       "12          0.273562        -0.038906         0.217375         0.448375  \n",
       "13          0.197563         0.063094         0.223375         0.159375  \n",
       "14          0.105562         0.039094        -0.035625        -0.146625  \n",
       "15         -0.399438         0.199094         0.218375        -0.002625  \n",
       "16          0.008563         0.223094         0.099375         0.078375  \n",
       "17          0.026562         0.137094         0.209375         0.017375  \n",
       "18          0.205562        -0.122906        -0.097625         0.046375  \n",
       "19          0.397563        -0.060906         0.260375         0.311375  \n",
       "20         -0.005437        -0.140906        -0.268625         0.068375  \n",
       "21         -0.259438         0.035094         0.150375        -0.003625  \n",
       "22          0.219563         0.045094        -0.289625         0.255375  \n",
       "23          0.050562         0.092094         0.013375        -0.081625  \n",
       "24         -0.223438        -0.095906        -0.071625        -0.353625  \n",
       "25          0.384563         0.015094         0.318375         0.249375  \n",
       "26          0.010562         0.222094         0.129375         0.309375  \n",
       "27         -0.055438         0.320094         0.152375        -0.170625  \n",
       "28          0.122563         0.095094         0.467375         0.121375  \n",
       "29          0.203562        -0.074906        -0.253625        -0.075625  \n",
       "..               ...              ...              ...              ...  \n",
       "267        -0.149438        -0.331906        -0.190625        -0.186625  \n",
       "268        -0.170437         0.003094         0.029375        -0.225625  \n",
       "269        -0.353438        -0.201906         0.175375         0.120375  \n",
       "270         0.021562         0.055094         0.135375        -0.027625  \n",
       "271         0.293562         0.215094        -0.036625        -0.101625  \n",
       "272        -0.054438        -0.093906        -0.259625        -0.139625  \n",
       "273        -0.136437        -0.005906         0.154375        -0.165625  \n",
       "274        -0.316438         0.007094        -0.012625         0.242375  \n",
       "275        -0.006438        -0.022906        -0.059625         0.011375  \n",
       "276        -0.326437        -0.160906        -0.473625        -0.482625  \n",
       "277         0.136563        -0.280906        -0.127625         0.191375  \n",
       "278        -0.094438        -0.160906        -0.287625        -0.188625  \n",
       "279         0.269563        -0.103906        -0.185625         0.169375  \n",
       "280        -0.200438        -0.177906         0.107375         0.206375  \n",
       "281         0.189563        -0.211906        -0.393625        -0.037625  \n",
       "282         0.171562         0.146094        -0.085625        -0.049625  \n",
       "283         0.089562        -0.419906        -0.034625        -0.150625  \n",
       "284        -0.059438        -0.321906         0.072375        -0.396625  \n",
       "285        -0.621438        -0.173906        -0.066625        -0.090625  \n",
       "286         0.167563        -0.051906        -0.105625         0.080375  \n",
       "287         0.456563        -0.170906        -0.065625        -0.045625  \n",
       "288        -0.544438        -0.007906         0.253375        -0.094625  \n",
       "289        -0.220438        -0.129906        -0.189625        -0.112625  \n",
       "290        -0.302437        -0.223906        -0.084625         0.017375  \n",
       "291        -0.315437         0.548094         0.350375        -0.102625  \n",
       "292         0.308562         0.239094         0.172375         0.214375  \n",
       "293        -0.094438         0.170094         0.285375         0.093375  \n",
       "294         0.146562         0.007094        -0.221625         0.276375  \n",
       "295        -0.348438        -0.215906         0.112375        -0.198625  \n",
       "296         0.009562         0.167094         0.462375        -0.238625  \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": {
    "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": {},
   "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": {},
   "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": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>centroids</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>lh_bankssts_part1</td>\n",
       "      <td>[-56.40355, -40.152663, 1.708876]</td>\n",
       "      <td>-56.4036</td>\n",
       "      <td>-40.1527</td>\n",
       "      <td>1.70888</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>lh_bankssts_part2</td>\n",
       "      <td>[-53.140506, -49.843038, 8.264557]</td>\n",
       "      <td>-53.1405</td>\n",
       "      <td>-49.843</td>\n",
       "      <td>8.26456</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>lh_caudalanteriorcingulate_part1</td>\n",
       "      <td>[-5.001684, 20.645903, 25.733446]</td>\n",
       "      <td>-5.00168</td>\n",
       "      <td>20.6459</td>\n",
       "      <td>25.7334</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>lh_caudalmiddlefrontal_part1</td>\n",
       "      <td>[-33.265925, 20.200202, 45.347826]</td>\n",
       "      <td>-33.2659</td>\n",
       "      <td>20.2002</td>\n",
       "      <td>45.3478</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>lh_caudalmiddlefrontal_part2</td>\n",
       "      <td>[-31.958115, 2.146597, 51.26911]</td>\n",
       "      <td>-31.9581</td>\n",
       "      <td>2.1466</td>\n",
       "      <td>51.2691</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                               name                           centroids  \\\n",
       "0                 lh_bankssts_part1   [-56.40355, -40.152663, 1.708876]   \n",
       "1                 lh_bankssts_part2  [-53.140506, -49.843038, 8.264557]   \n",
       "2  lh_caudalanteriorcingulate_part1   [-5.001684, 20.645903, 25.733446]   \n",
       "3      lh_caudalmiddlefrontal_part1  [-33.265925, 20.200202, 45.347826]   \n",
       "4      lh_caudalmiddlefrontal_part2    [-31.958115, 2.146597, 51.26911]   \n",
       "\n",
       "         x        y        z  \n",
       "0 -56.4036 -40.1527  1.70888  \n",
       "1 -53.1405  -49.843  8.26456  \n",
       "2 -5.00168  20.6459  25.7334  \n",
       "3 -33.2659  20.2002  45.3478  \n",
       "4 -31.9581   2.1466  51.2691  "
      ]
     },
     "execution_count": 10,
     "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": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "H.calculate_nodal_measures()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>centroids</th>\n",
       "      <th>betweenness</th>\n",
       "      <th>closeness</th>\n",
       "      <th>clustering</th>\n",
       "      <th>degree</th>\n",
       "      <th>module</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>lh_bankssts_part1</td>\n",
       "      <td>[-56.40355, -40.152663, 1.708876]</td>\n",
       "      <td>0.00824713</td>\n",
       "      <td>0.495961</td>\n",
       "      <td>0.3358</td>\n",
       "      <td>47</td>\n",
       "      <td>0</td>\n",
       "      <td>0.717067</td>\n",
       "      <td>2.00974</td>\n",
       "      <td>-56.4036</td>\n",
       "      <td>-40.1527</td>\n",
       "      <td>1.70888</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>lh_bankssts_part2</td>\n",
       "      <td>[-53.140506, -49.843038, 8.264557]</td>\n",
       "      <td>0.0124798</td>\n",
       "      <td>0.507438</td>\n",
       "      <td>0.278788</td>\n",
       "      <td>55</td>\n",
       "      <td>0</td>\n",
       "      <td>0.809587</td>\n",
       "      <td>1.96429</td>\n",
       "      <td>-53.1405</td>\n",
       "      <td>-49.843</td>\n",
       "      <td>8.26456</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>lh_caudalanteriorcingulate_part1</td>\n",
       "      <td>[-5.001684, 20.645903, 25.733446]</td>\n",
       "      <td>0</td>\n",
       "      <td>0.336254</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>0.75</td>\n",
       "      <td>2.96429</td>\n",
       "      <td>-5.00168</td>\n",
       "      <td>20.6459</td>\n",
       "      <td>25.7334</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>lh_caudalmiddlefrontal_part1</td>\n",
       "      <td>[-33.265925, 20.200202, 45.347826]</td>\n",
       "      <td>0.0120765</td>\n",
       "      <td>0.525685</td>\n",
       "      <td>0.383485</td>\n",
       "      <td>83</td>\n",
       "      <td>2</td>\n",
       "      <td>0.459864</td>\n",
       "      <td>1.8961</td>\n",
       "      <td>-33.2659</td>\n",
       "      <td>20.2002</td>\n",
       "      <td>45.3478</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>lh_caudalmiddlefrontal_part2</td>\n",
       "      <td>[-31.958115, 2.146597, 51.26911]</td>\n",
       "      <td>0.0292617</td>\n",
       "      <td>0.549195</td>\n",
       "      <td>0.293617</td>\n",
       "      <td>95</td>\n",
       "      <td>2</td>\n",
       "      <td>0.688753</td>\n",
       "      <td>1.81494</td>\n",
       "      <td>-31.9581</td>\n",
       "      <td>2.1466</td>\n",
       "      <td>51.2691</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                               name                           centroids  \\\n",
       "0                 lh_bankssts_part1   [-56.40355, -40.152663, 1.708876]   \n",
       "1                 lh_bankssts_part2  [-53.140506, -49.843038, 8.264557]   \n",
       "2  lh_caudalanteriorcingulate_part1   [-5.001684, 20.645903, 25.733446]   \n",
       "3      lh_caudalmiddlefrontal_part1  [-33.265925, 20.200202, 45.347826]   \n",
       "4      lh_caudalmiddlefrontal_part2    [-31.958115, 2.146597, 51.26911]   \n",
       "\n",
       "  betweenness closeness clustering degree module participation_coefficient  \\\n",
       "0  0.00824713  0.495961     0.3358     47      0                  0.717067   \n",
       "1   0.0124798  0.507438   0.278788     55      0                  0.809587   \n",
       "2           0  0.336254          1      2      1                      0.75   \n",
       "3   0.0120765  0.525685   0.383485     83      2                  0.459864   \n",
       "4   0.0292617  0.549195   0.293617     95      2                  0.688753   \n",
       "\n",
       "  shortest_path_length        x        y        z  \n",
       "0              2.00974 -56.4036 -40.1527  1.70888  \n",
       "1              1.96429 -53.1405  -49.843  8.26456  \n",
       "2              2.96429 -5.00168  20.6459  25.7334  \n",
       "3               1.8961 -33.2659  20.2002  45.3478  \n",
       "4              1.81494 -31.9581   2.1466  51.2691  "
      ]
     },
     "execution_count": 12,
     "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": 13,
   "metadata": {},
   "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": 14,
   "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>name</th>\n",
       "      <th>degree</th>\n",
       "      <th>hat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>lh_bankssts_part1</td>\n",
       "      <td>47</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>lh_bankssts_part2</td>\n",
       "      <td>55</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>lh_caudalanteriorcingulate_part1</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>lh_caudalmiddlefrontal_part1</td>\n",
       "      <td>83</td>\n",
       "      <td>9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>lh_caudalmiddlefrontal_part2</td>\n",
       "      <td>95</td>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                               name degree hat\n",
       "0                 lh_bankssts_part1     47   0\n",
       "1                 lh_bankssts_part2     55   1\n",
       "2  lh_caudalanteriorcingulate_part1      2   4\n",
       "3      lh_caudalmiddlefrontal_part1     83   9\n",
       "4      lh_caudalmiddlefrontal_part2     95  16"
      ]
     },
     "execution_count": 14,
     "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": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'average_clustering': 0.4498887255891581,\n",
       " 'average_shortest_path_length': 2.376242649858285,\n",
       " 'assortativity': 0.09076922258276784,\n",
       " 'modularity': 0.3828553111606414,\n",
       " 'efficiency': 0.47983958611582744}"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "H.calculate_global_measures()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "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": 17,
   "metadata": {},
   "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": 18,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'NSPN_cost=10': <scona.classes.BrainNetwork at 0x7f9c66705208>}"
      ]
     },
     "execution_count": 18,
     "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": 19,
   "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": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'NSPN_cost=10': <scona.classes.BrainNetwork at 0x7f9c66705208>,\n",
       " 'NSPN_cost=10_R0': <scona.classes.BrainNetwork at 0x7f9c60f85710>,\n",
       " 'NSPN_cost=10_R1': <scona.classes.BrainNetwork at 0x7f9c64603d30>,\n",
       " 'NSPN_cost=10_R2': <scona.classes.BrainNetwork at 0x7f9c646035c0>,\n",
       " 'NSPN_cost=10_R3': <scona.classes.BrainNetwork at 0x7f9c666bac88>,\n",
       " 'NSPN_cost=10_R4': <scona.classes.BrainNetwork at 0x7f9c666baac8>,\n",
       " 'NSPN_cost=10_R5': <scona.classes.BrainNetwork at 0x7f9c666ba7b8>,\n",
       " 'NSPN_cost=10_R6': <scona.classes.BrainNetwork at 0x7f9c61fe8588>,\n",
       " 'NSPN_cost=10_R7': <scona.classes.BrainNetwork at 0x7f9c61fe8c50>,\n",
       " 'NSPN_cost=10_R8': <scona.classes.BrainNetwork at 0x7f9c61fe8940>,\n",
       " 'NSPN_cost=10_R9': <scona.classes.BrainNetwork at 0x7f9c61fe8860>}"
      ]
     },
     "execution_count": 20,
     "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": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <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_R0</th>\n",
       "      <td>-0.088852</td>\n",
       "      <td>0.243845</td>\n",
       "      <td>2.078768</td>\n",
       "      <td>0.520413</td>\n",
       "      <td>0.127825</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R1</th>\n",
       "      <td>-0.066267</td>\n",
       "      <td>0.225807</td>\n",
       "      <td>2.092094</td>\n",
       "      <td>0.518241</td>\n",
       "      <td>0.126067</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R2</th>\n",
       "      <td>-0.103746</td>\n",
       "      <td>0.233042</td>\n",
       "      <td>2.077816</td>\n",
       "      <td>0.520524</td>\n",
       "      <td>0.127926</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R3</th>\n",
       "      <td>-0.078599</td>\n",
       "      <td>0.230792</td>\n",
       "      <td>2.090148</td>\n",
       "      <td>0.518603</td>\n",
       "      <td>0.132649</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R4</th>\n",
       "      <td>-0.061296</td>\n",
       "      <td>0.223642</td>\n",
       "      <td>2.087906</td>\n",
       "      <td>0.518872</td>\n",
       "      <td>0.131772</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R5</th>\n",
       "      <td>-0.100853</td>\n",
       "      <td>0.229629</td>\n",
       "      <td>2.083146</td>\n",
       "      <td>0.519853</td>\n",
       "      <td>0.127226</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R6</th>\n",
       "      <td>-0.069217</td>\n",
       "      <td>0.222723</td>\n",
       "      <td>2.089048</td>\n",
       "      <td>0.518659</td>\n",
       "      <td>0.126808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R7</th>\n",
       "      <td>-0.073193</td>\n",
       "      <td>0.226694</td>\n",
       "      <td>2.089852</td>\n",
       "      <td>0.518797</td>\n",
       "      <td>0.130764</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R8</th>\n",
       "      <td>-0.100933</td>\n",
       "      <td>0.222562</td>\n",
       "      <td>2.088307</td>\n",
       "      <td>0.518941</td>\n",
       "      <td>0.124251</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NSPN_cost=10_R9</th>\n",
       "      <td>-0.087488</td>\n",
       "      <td>0.222442</td>\n",
       "      <td>2.081327</td>\n",
       "      <td>0.519951</td>\n",
       "      <td>0.122608</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 assortativity  average_clustering  \\\n",
       "NSPN_cost=10          0.090769            0.449889   \n",
       "NSPN_cost=10_R0      -0.088852            0.243845   \n",
       "NSPN_cost=10_R1      -0.066267            0.225807   \n",
       "NSPN_cost=10_R2      -0.103746            0.233042   \n",
       "NSPN_cost=10_R3      -0.078599            0.230792   \n",
       "NSPN_cost=10_R4      -0.061296            0.223642   \n",
       "NSPN_cost=10_R5      -0.100853            0.229629   \n",
       "NSPN_cost=10_R6      -0.069217            0.222723   \n",
       "NSPN_cost=10_R7      -0.073193            0.226694   \n",
       "NSPN_cost=10_R8      -0.100933            0.222562   \n",
       "NSPN_cost=10_R9      -0.087488            0.222442   \n",
       "\n",
       "                 average_shortest_path_length  efficiency  modularity  \n",
       "NSPN_cost=10                         2.376243    0.479840    0.382855  \n",
       "NSPN_cost=10_R0                      2.078768    0.520413    0.127825  \n",
       "NSPN_cost=10_R1                      2.092094    0.518241    0.126067  \n",
       "NSPN_cost=10_R2                      2.077816    0.520524    0.127926  \n",
       "NSPN_cost=10_R3                      2.090148    0.518603    0.132649  \n",
       "NSPN_cost=10_R4                      2.087906    0.518872    0.131772  \n",
       "NSPN_cost=10_R5                      2.083146    0.519853    0.127226  \n",
       "NSPN_cost=10_R6                      2.089048    0.518659    0.126808  \n",
       "NSPN_cost=10_R7                      2.089852    0.518797    0.130764  \n",
       "NSPN_cost=10_R8                      2.088307    0.518941    0.124251  \n",
       "NSPN_cost=10_R9                      2.081327    0.519951    0.122608  "
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "brain_bundle.report_global_measures()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "    .dataframe thead th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>NSPN_cost=10</th>\n",
       "      <th>NSPN_cost=10_R0</th>\n",
       "      <th>NSPN_cost=10_R1</th>\n",
       "      <th>NSPN_cost=10_R2</th>\n",
       "      <th>NSPN_cost=10_R3</th>\n",
       "      <th>NSPN_cost=10_R4</th>\n",
       "      <th>NSPN_cost=10_R5</th>\n",
       "      <th>NSPN_cost=10_R6</th>\n",
       "      <th>NSPN_cost=10_R7</th>\n",
       "      <th>NSPN_cost=10_R8</th>\n",
       "      <th>NSPN_cost=10_R9</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.100004</td>\n",
       "      <td>0.100004</td>\n",
       "      <td>0.100004</td>\n",
       "      <td>0.100004</td>\n",
       "      <td>0.100004</td>\n",
       "      <td>0.100004</td>\n",
       "      <td>0.100004</td>\n",
       "      <td>0.100004</td>\n",
       "      <td>0.100004</td>\n",
       "      <td>0.100004</td>\n",
       "      <td>0.100004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.103228</td>\n",
       "      <td>0.103228</td>\n",
       "      <td>0.103228</td>\n",
       "      <td>0.103228</td>\n",
       "      <td>0.103228</td>\n",
       "      <td>0.103228</td>\n",
       "      <td>0.103228</td>\n",
       "      <td>0.103228</td>\n",
       "      <td>0.103228</td>\n",
       "      <td>0.103228</td>\n",
       "      <td>0.103228</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.107244</td>\n",
       "      <td>0.107175</td>\n",
       "      <td>0.107175</td>\n",
       "      <td>0.107175</td>\n",
       "      <td>0.107175</td>\n",
       "      <td>0.107175</td>\n",
       "      <td>0.107175</td>\n",
       "      <td>0.107175</td>\n",
       "      <td>0.107175</td>\n",
       "      <td>0.107175</td>\n",
       "      <td>0.107175</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.112039</td>\n",
       "      <td>0.111920</td>\n",
       "      <td>0.111920</td>\n",
       "      <td>0.111920</td>\n",
       "      <td>0.111920</td>\n",
       "      <td>0.111920</td>\n",
       "      <td>0.111920</td>\n",
       "      <td>0.111920</td>\n",
       "      <td>0.111920</td>\n",
       "      <td>0.111920</td>\n",
       "      <td>0.111920</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.117842</td>\n",
       "      <td>0.117564</td>\n",
       "      <td>0.117564</td>\n",
       "      <td>0.117564</td>\n",
       "      <td>0.117564</td>\n",
       "      <td>0.117564</td>\n",
       "      <td>0.117564</td>\n",
       "      <td>0.117564</td>\n",
       "      <td>0.117564</td>\n",
       "      <td>0.117589</td>\n",
       "      <td>0.117589</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.122398</td>\n",
       "      <td>0.121950</td>\n",
       "      <td>0.121950</td>\n",
       "      <td>0.121950</td>\n",
       "      <td>0.121950</td>\n",
       "      <td>0.121950</td>\n",
       "      <td>0.121950</td>\n",
       "      <td>0.121976</td>\n",
       "      <td>0.121950</td>\n",
       "      <td>0.121976</td>\n",
       "      <td>0.121976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.127975</td>\n",
       "      <td>0.127254</td>\n",
       "      <td>0.127226</td>\n",
       "      <td>0.127282</td>\n",
       "      <td>0.127254</td>\n",
       "      <td>0.127282</td>\n",
       "      <td>0.127226</td>\n",
       "      <td>0.127282</td>\n",
       "      <td>0.127226</td>\n",
       "      <td>0.127282</td>\n",
       "      <td>0.127254</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.131899</td>\n",
       "      <td>0.131121</td>\n",
       "      <td>0.131092</td>\n",
       "      <td>0.131179</td>\n",
       "      <td>0.131150</td>\n",
       "      <td>0.131150</td>\n",
       "      <td>0.131092</td>\n",
       "      <td>0.131150</td>\n",
       "      <td>0.131092</td>\n",
       "      <td>0.131179</td>\n",
       "      <td>0.131121</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.136820</td>\n",
       "      <td>0.135855</td>\n",
       "      <td>0.135855</td>\n",
       "      <td>0.135976</td>\n",
       "      <td>0.135885</td>\n",
       "      <td>0.135915</td>\n",
       "      <td>0.135855</td>\n",
       "      <td>0.135945</td>\n",
       "      <td>0.135885</td>\n",
       "      <td>0.135976</td>\n",
       "      <td>0.135976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.141069</td>\n",
       "      <td>0.139877</td>\n",
       "      <td>0.139908</td>\n",
       "      <td>0.140003</td>\n",
       "      <td>0.139971</td>\n",
       "      <td>0.140003</td>\n",
       "      <td>0.139877</td>\n",
       "      <td>0.140034</td>\n",
       "      <td>0.139940</td>\n",
       "      <td>0.140034</td>\n",
       "      <td>0.140034</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.147370</td>\n",
       "      <td>0.145744</td>\n",
       "      <td>0.145711</td>\n",
       "      <td>0.145844</td>\n",
       "      <td>0.145877</td>\n",
       "      <td>0.145910</td>\n",
       "      <td>0.145678</td>\n",
       "      <td>0.145877</td>\n",
       "      <td>0.145777</td>\n",
       "      <td>0.145877</td>\n",
       "      <td>0.145844</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.154948</td>\n",
       "      <td>0.152643</td>\n",
       "      <td>0.152679</td>\n",
       "      <td>0.152785</td>\n",
       "      <td>0.152892</td>\n",
       "      <td>0.152962</td>\n",
       "      <td>0.152785</td>\n",
       "      <td>0.152856</td>\n",
       "      <td>0.152750</td>\n",
       "      <td>0.152962</td>\n",
       "      <td>0.152821</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.158835</td>\n",
       "      <td>0.156194</td>\n",
       "      <td>0.156267</td>\n",
       "      <td>0.156341</td>\n",
       "      <td>0.156451</td>\n",
       "      <td>0.156597</td>\n",
       "      <td>0.156341</td>\n",
       "      <td>0.156487</td>\n",
       "      <td>0.156414</td>\n",
       "      <td>0.156634</td>\n",
       "      <td>0.156414</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.166883</td>\n",
       "      <td>0.163422</td>\n",
       "      <td>0.163618</td>\n",
       "      <td>0.163658</td>\n",
       "      <td>0.163736</td>\n",
       "      <td>0.164090</td>\n",
       "      <td>0.163815</td>\n",
       "      <td>0.163933</td>\n",
       "      <td>0.163815</td>\n",
       "      <td>0.163894</td>\n",
       "      <td>0.163933</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.171946</td>\n",
       "      <td>0.168038</td>\n",
       "      <td>0.168449</td>\n",
       "      <td>0.168326</td>\n",
       "      <td>0.168490</td>\n",
       "      <td>0.168984</td>\n",
       "      <td>0.168573</td>\n",
       "      <td>0.168737</td>\n",
       "      <td>0.168614</td>\n",
       "      <td>0.168696</td>\n",
       "      <td>0.168614</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.174019</td>\n",
       "      <td>0.169955</td>\n",
       "      <td>0.170290</td>\n",
       "      <td>0.170207</td>\n",
       "      <td>0.170416</td>\n",
       "      <td>0.170961</td>\n",
       "      <td>0.170416</td>\n",
       "      <td>0.170584</td>\n",
       "      <td>0.170667</td>\n",
       "      <td>0.170625</td>\n",
       "      <td>0.170500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.183595</td>\n",
       "      <td>0.179039</td>\n",
       "      <td>0.178902</td>\n",
       "      <td>0.178993</td>\n",
       "      <td>0.179357</td>\n",
       "      <td>0.179813</td>\n",
       "      <td>0.179039</td>\n",
       "      <td>0.179449</td>\n",
       "      <td>0.179403</td>\n",
       "      <td>0.179403</td>\n",
       "      <td>0.179449</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.190283</td>\n",
       "      <td>0.185115</td>\n",
       "      <td>0.185115</td>\n",
       "      <td>0.185115</td>\n",
       "      <td>0.185550</td>\n",
       "      <td>0.186033</td>\n",
       "      <td>0.185164</td>\n",
       "      <td>0.185647</td>\n",
       "      <td>0.185502</td>\n",
       "      <td>0.185550</td>\n",
       "      <td>0.185647</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.198747</td>\n",
       "      <td>0.192738</td>\n",
       "      <td>0.192531</td>\n",
       "      <td>0.192531</td>\n",
       "      <td>0.193049</td>\n",
       "      <td>0.193256</td>\n",
       "      <td>0.192842</td>\n",
       "      <td>0.192893</td>\n",
       "      <td>0.193204</td>\n",
       "      <td>0.193308</td>\n",
       "      <td>0.192842</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.211604</td>\n",
       "      <td>0.204014</td>\n",
       "      <td>0.204071</td>\n",
       "      <td>0.203496</td>\n",
       "      <td>0.204934</td>\n",
       "      <td>0.204589</td>\n",
       "      <td>0.203784</td>\n",
       "      <td>0.204474</td>\n",
       "      <td>0.205106</td>\n",
       "      <td>0.204646</td>\n",
       "      <td>0.204359</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.223213</td>\n",
       "      <td>0.213671</td>\n",
       "      <td>0.214236</td>\n",
       "      <td>0.213107</td>\n",
       "      <td>0.215052</td>\n",
       "      <td>0.214487</td>\n",
       "      <td>0.213923</td>\n",
       "      <td>0.214613</td>\n",
       "      <td>0.214801</td>\n",
       "      <td>0.214425</td>\n",
       "      <td>0.213985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>0.229031</td>\n",
       "      <td>0.218982</td>\n",
       "      <td>0.219442</td>\n",
       "      <td>0.217931</td>\n",
       "      <td>0.220164</td>\n",
       "      <td>0.219836</td>\n",
       "      <td>0.218982</td>\n",
       "      <td>0.219967</td>\n",
       "      <td>0.219967</td>\n",
       "      <td>0.219704</td>\n",
       "      <td>0.219245</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0.233578</td>\n",
       "      <td>0.223378</td>\n",
       "      <td>0.223514</td>\n",
       "      <td>0.222086</td>\n",
       "      <td>0.223990</td>\n",
       "      <td>0.223854</td>\n",
       "      <td>0.223038</td>\n",
       "      <td>0.223582</td>\n",
       "      <td>0.223718</td>\n",
       "      <td>0.223378</td>\n",
       "      <td>0.223242</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0.236199</td>\n",
       "      <td>0.225827</td>\n",
       "      <td>0.226592</td>\n",
       "      <td>0.224574</td>\n",
       "      <td>0.226662</td>\n",
       "      <td>0.226523</td>\n",
       "      <td>0.225479</td>\n",
       "      <td>0.226175</td>\n",
       "      <td>0.226244</td>\n",
       "      <td>0.226175</td>\n",
       "      <td>0.225618</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0.245623</td>\n",
       "      <td>0.233727</td>\n",
       "      <td>0.234326</td>\n",
       "      <td>0.232081</td>\n",
       "      <td>0.234326</td>\n",
       "      <td>0.234775</td>\n",
       "      <td>0.233353</td>\n",
       "      <td>0.234101</td>\n",
       "      <td>0.233727</td>\n",
       "      <td>0.233952</td>\n",
       "      <td>0.233353</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0.250543</td>\n",
       "      <td>0.237345</td>\n",
       "      <td>0.238354</td>\n",
       "      <td>0.235792</td>\n",
       "      <td>0.238665</td>\n",
       "      <td>0.238587</td>\n",
       "      <td>0.237189</td>\n",
       "      <td>0.238432</td>\n",
       "      <td>0.237966</td>\n",
       "      <td>0.238276</td>\n",
       "      <td>0.237422</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0.259573</td>\n",
       "      <td>0.245580</td>\n",
       "      <td>0.246167</td>\n",
       "      <td>0.243569</td>\n",
       "      <td>0.246334</td>\n",
       "      <td>0.246418</td>\n",
       "      <td>0.244994</td>\n",
       "      <td>0.246251</td>\n",
       "      <td>0.245748</td>\n",
       "      <td>0.246502</td>\n",
       "      <td>0.245664</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>0.265075</td>\n",
       "      <td>0.249913</td>\n",
       "      <td>0.249477</td>\n",
       "      <td>0.247560</td>\n",
       "      <td>0.250261</td>\n",
       "      <td>0.250697</td>\n",
       "      <td>0.249303</td>\n",
       "      <td>0.250436</td>\n",
       "      <td>0.249913</td>\n",
       "      <td>0.250871</td>\n",
       "      <td>0.250000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>0.273320</td>\n",
       "      <td>0.256360</td>\n",
       "      <td>0.256733</td>\n",
       "      <td>0.254310</td>\n",
       "      <td>0.257478</td>\n",
       "      <td>0.257106</td>\n",
       "      <td>0.255987</td>\n",
       "      <td>0.257478</td>\n",
       "      <td>0.256919</td>\n",
       "      <td>0.258131</td>\n",
       "      <td>0.257292</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>0.285208</td>\n",
       "      <td>0.265755</td>\n",
       "      <td>0.265451</td>\n",
       "      <td>0.263019</td>\n",
       "      <td>0.266261</td>\n",
       "      <td>0.265755</td>\n",
       "      <td>0.263931</td>\n",
       "      <td>0.266363</td>\n",
       "      <td>0.264944</td>\n",
       "      <td>0.267072</td>\n",
       "      <td>0.266059</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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>0.820513</td>\n",
       "      <td>0.653846</td>\n",
       "      <td>0.743590</td>\n",
       "      <td>0.692308</td>\n",
       "      <td>0.602564</td>\n",
       "      <td>0.756410</td>\n",
       "      <td>0.615385</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.576923</td>\n",
       "      <td>0.705128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>77</th>\n",
       "      <td>0.848485</td>\n",
       "      <td>0.681818</td>\n",
       "      <td>0.727273</td>\n",
       "      <td>0.696970</td>\n",
       "      <td>0.590909</td>\n",
       "      <td>0.727273</td>\n",
       "      <td>0.590909</td>\n",
       "      <td>0.651515</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.590909</td>\n",
       "      <td>0.696970</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>0.836364</td>\n",
       "      <td>0.709091</td>\n",
       "      <td>0.781818</td>\n",
       "      <td>0.672727</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.745455</td>\n",
       "      <td>0.618182</td>\n",
       "      <td>0.654545</td>\n",
       "      <td>0.618182</td>\n",
       "      <td>0.581818</td>\n",
       "      <td>0.709091</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>0.836364</td>\n",
       "      <td>0.709091</td>\n",
       "      <td>0.781818</td>\n",
       "      <td>0.672727</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.745455</td>\n",
       "      <td>0.618182</td>\n",
       "      <td>0.654545</td>\n",
       "      <td>0.618182</td>\n",
       "      <td>0.581818</td>\n",
       "      <td>0.709091</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>0.892857</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>0.785714</td>\n",
       "      <td>0.785714</td>\n",
       "      <td>0.642857</td>\n",
       "      <td>0.821429</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.464286</td>\n",
       "      <td>0.678571</td>\n",
       "      <td>0.678571</td>\n",
       "      <td>0.714286</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>0.857143</td>\n",
       "      <td>0.809524</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>0.809524</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>0.476190</td>\n",
       "      <td>0.476190</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.714286</td>\n",
       "      <td>0.761905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>0.857143</td>\n",
       "      <td>0.809524</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>0.809524</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>0.476190</td>\n",
       "      <td>0.476190</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.714286</td>\n",
       "      <td>0.761905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83</th>\n",
       "      <td>0.933333</td>\n",
       "      <td>0.933333</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>0.866667</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.800000</td>\n",
       "      <td>0.466667</td>\n",
       "      <td>0.466667</td>\n",
       "      <td>0.733333</td>\n",
       "      <td>0.733333</td>\n",
       "      <td>0.733333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>84</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>86</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>87</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>88</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>89</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>90</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>91</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>93</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>100</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>101</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>102</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>103</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>104</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>105</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>106 rows × 11 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     NSPN_cost=10  NSPN_cost=10_R0  NSPN_cost=10_R1  NSPN_cost=10_R2  \\\n",
       "0        0.100004         0.100004         0.100004         0.100004   \n",
       "1        0.103228         0.103228         0.103228         0.103228   \n",
       "2        0.107244         0.107175         0.107175         0.107175   \n",
       "3        0.112039         0.111920         0.111920         0.111920   \n",
       "4        0.117842         0.117564         0.117564         0.117564   \n",
       "5        0.122398         0.121950         0.121950         0.121950   \n",
       "6        0.127975         0.127254         0.127226         0.127282   \n",
       "7        0.131899         0.131121         0.131092         0.131179   \n",
       "8        0.136820         0.135855         0.135855         0.135976   \n",
       "9        0.141069         0.139877         0.139908         0.140003   \n",
       "10       0.147370         0.145744         0.145711         0.145844   \n",
       "11       0.154948         0.152643         0.152679         0.152785   \n",
       "12       0.158835         0.156194         0.156267         0.156341   \n",
       "13       0.166883         0.163422         0.163618         0.163658   \n",
       "14       0.171946         0.168038         0.168449         0.168326   \n",
       "15       0.174019         0.169955         0.170290         0.170207   \n",
       "16       0.183595         0.179039         0.178902         0.178993   \n",
       "17       0.190283         0.185115         0.185115         0.185115   \n",
       "18       0.198747         0.192738         0.192531         0.192531   \n",
       "19       0.211604         0.204014         0.204071         0.203496   \n",
       "20       0.223213         0.213671         0.214236         0.213107   \n",
       "21       0.229031         0.218982         0.219442         0.217931   \n",
       "22       0.233578         0.223378         0.223514         0.222086   \n",
       "23       0.236199         0.225827         0.226592         0.224574   \n",
       "24       0.245623         0.233727         0.234326         0.232081   \n",
       "25       0.250543         0.237345         0.238354         0.235792   \n",
       "26       0.259573         0.245580         0.246167         0.243569   \n",
       "27       0.265075         0.249913         0.249477         0.247560   \n",
       "28       0.273320         0.256360         0.256733         0.254310   \n",
       "29       0.285208         0.265755         0.265451         0.263019   \n",
       "..            ...              ...              ...              ...   \n",
       "76       0.820513         0.653846         0.743590         0.692308   \n",
       "77       0.848485         0.681818         0.727273         0.696970   \n",
       "78       0.836364         0.709091         0.781818         0.672727   \n",
       "79       0.836364         0.709091         0.781818         0.672727   \n",
       "80       0.892857         0.857143         0.785714         0.785714   \n",
       "81       0.857143         0.809524         0.857143         0.809524   \n",
       "82       0.857143         0.809524         0.857143         0.809524   \n",
       "83       0.933333         0.933333         0.800000         0.866667   \n",
       "84       1.000000         1.000000         1.000000         1.000000   \n",
       "85       1.000000         1.000000         1.000000         1.000000   \n",
       "86       1.000000         1.000000         1.000000         1.000000   \n",
       "87       1.000000         1.000000         1.000000         1.000000   \n",
       "88       1.000000         1.000000         1.000000         1.000000   \n",
       "89       1.000000         1.000000         1.000000         1.000000   \n",
       "90       1.000000         1.000000         1.000000         1.000000   \n",
       "91       1.000000         1.000000         1.000000         1.000000   \n",
       "92       1.000000         1.000000         1.000000         1.000000   \n",
       "93       1.000000         1.000000         1.000000         1.000000   \n",
       "94       1.000000         1.000000         1.000000         1.000000   \n",
       "95       1.000000         1.000000         1.000000         1.000000   \n",
       "96       1.000000         1.000000         1.000000         1.000000   \n",
       "97       1.000000         1.000000         1.000000         1.000000   \n",
       "98       1.000000         1.000000         1.000000         1.000000   \n",
       "99       1.000000         1.000000         1.000000         1.000000   \n",
       "100      1.000000         1.000000         1.000000         1.000000   \n",
       "101      1.000000         1.000000         1.000000         1.000000   \n",
       "102      1.000000         1.000000         1.000000         1.000000   \n",
       "103      1.000000         1.000000         1.000000         1.000000   \n",
       "104      1.000000         1.000000         1.000000         1.000000   \n",
       "105      1.000000         1.000000         1.000000         1.000000   \n",
       "\n",
       "     NSPN_cost=10_R3  NSPN_cost=10_R4  NSPN_cost=10_R5  NSPN_cost=10_R6  \\\n",
       "0           0.100004         0.100004         0.100004         0.100004   \n",
       "1           0.103228         0.103228         0.103228         0.103228   \n",
       "2           0.107175         0.107175         0.107175         0.107175   \n",
       "3           0.111920         0.111920         0.111920         0.111920   \n",
       "4           0.117564         0.117564         0.117564         0.117564   \n",
       "5           0.121950         0.121950         0.121950         0.121976   \n",
       "6           0.127254         0.127282         0.127226         0.127282   \n",
       "7           0.131150         0.131150         0.131092         0.131150   \n",
       "8           0.135885         0.135915         0.135855         0.135945   \n",
       "9           0.139971         0.140003         0.139877         0.140034   \n",
       "10          0.145877         0.145910         0.145678         0.145877   \n",
       "11          0.152892         0.152962         0.152785         0.152856   \n",
       "12          0.156451         0.156597         0.156341         0.156487   \n",
       "13          0.163736         0.164090         0.163815         0.163933   \n",
       "14          0.168490         0.168984         0.168573         0.168737   \n",
       "15          0.170416         0.170961         0.170416         0.170584   \n",
       "16          0.179357         0.179813         0.179039         0.179449   \n",
       "17          0.185550         0.186033         0.185164         0.185647   \n",
       "18          0.193049         0.193256         0.192842         0.192893   \n",
       "19          0.204934         0.204589         0.203784         0.204474   \n",
       "20          0.215052         0.214487         0.213923         0.214613   \n",
       "21          0.220164         0.219836         0.218982         0.219967   \n",
       "22          0.223990         0.223854         0.223038         0.223582   \n",
       "23          0.226662         0.226523         0.225479         0.226175   \n",
       "24          0.234326         0.234775         0.233353         0.234101   \n",
       "25          0.238665         0.238587         0.237189         0.238432   \n",
       "26          0.246334         0.246418         0.244994         0.246251   \n",
       "27          0.250261         0.250697         0.249303         0.250436   \n",
       "28          0.257478         0.257106         0.255987         0.257478   \n",
       "29          0.266261         0.265755         0.263931         0.266363   \n",
       "..               ...              ...              ...              ...   \n",
       "76          0.602564         0.756410         0.615385         0.666667   \n",
       "77          0.590909         0.727273         0.590909         0.651515   \n",
       "78          0.600000         0.745455         0.618182         0.654545   \n",
       "79          0.600000         0.745455         0.618182         0.654545   \n",
       "80          0.642857         0.821429         0.500000         0.464286   \n",
       "81          0.666667         0.857143         0.476190         0.476190   \n",
       "82          0.666667         0.857143         0.476190         0.476190   \n",
       "83          0.600000         0.800000         0.466667         0.466667   \n",
       "84          0.666667         0.833333         0.666667         0.500000   \n",
       "85          0.666667         0.833333         0.666667         0.500000   \n",
       "86          0.666667         0.833333         0.666667         0.500000   \n",
       "87          0.666667         0.833333         0.666667         0.500000   \n",
       "88          0.666667         0.833333         0.666667         0.500000   \n",
       "89          0.666667         0.833333         0.666667         0.500000   \n",
       "90          0.666667         0.833333         0.666667         0.500000   \n",
       "91          0.666667         0.666667         1.000000         0.333333   \n",
       "92          0.666667         0.666667         1.000000         0.333333   \n",
       "93          0.666667         0.666667         1.000000         0.333333   \n",
       "94          0.666667         0.666667         1.000000         0.333333   \n",
       "95          1.000000         0.000000         1.000000         1.000000   \n",
       "96          1.000000         0.000000         1.000000         1.000000   \n",
       "97          1.000000         0.000000         1.000000         1.000000   \n",
       "98          1.000000         0.000000         1.000000         1.000000   \n",
       "99          1.000000         0.000000         1.000000         1.000000   \n",
       "100         1.000000         0.000000         1.000000         1.000000   \n",
       "101         1.000000         0.000000         1.000000         1.000000   \n",
       "102         1.000000         0.000000         1.000000         1.000000   \n",
       "103         1.000000         0.000000         1.000000         1.000000   \n",
       "104         1.000000         0.000000         1.000000         1.000000   \n",
       "105         1.000000         0.000000         1.000000         1.000000   \n",
       "\n",
       "     NSPN_cost=10_R7  NSPN_cost=10_R8  NSPN_cost=10_R9  \n",
       "0           0.100004         0.100004         0.100004  \n",
       "1           0.103228         0.103228         0.103228  \n",
       "2           0.107175         0.107175         0.107175  \n",
       "3           0.111920         0.111920         0.111920  \n",
       "4           0.117564         0.117589         0.117589  \n",
       "5           0.121950         0.121976         0.121976  \n",
       "6           0.127226         0.127282         0.127254  \n",
       "7           0.131092         0.131179         0.131121  \n",
       "8           0.135885         0.135976         0.135976  \n",
       "9           0.139940         0.140034         0.140034  \n",
       "10          0.145777         0.145877         0.145844  \n",
       "11          0.152750         0.152962         0.152821  \n",
       "12          0.156414         0.156634         0.156414  \n",
       "13          0.163815         0.163894         0.163933  \n",
       "14          0.168614         0.168696         0.168614  \n",
       "15          0.170667         0.170625         0.170500  \n",
       "16          0.179403         0.179403         0.179449  \n",
       "17          0.185502         0.185550         0.185647  \n",
       "18          0.193204         0.193308         0.192842  \n",
       "19          0.205106         0.204646         0.204359  \n",
       "20          0.214801         0.214425         0.213985  \n",
       "21          0.219967         0.219704         0.219245  \n",
       "22          0.223718         0.223378         0.223242  \n",
       "23          0.226244         0.226175         0.225618  \n",
       "24          0.233727         0.233952         0.233353  \n",
       "25          0.237966         0.238276         0.237422  \n",
       "26          0.245748         0.246502         0.245664  \n",
       "27          0.249913         0.250871         0.250000  \n",
       "28          0.256919         0.258131         0.257292  \n",
       "29          0.264944         0.267072         0.266059  \n",
       "..               ...              ...              ...  \n",
       "76          0.666667         0.576923         0.705128  \n",
       "77          0.666667         0.590909         0.696970  \n",
       "78          0.618182         0.581818         0.709091  \n",
       "79          0.618182         0.581818         0.709091  \n",
       "80          0.678571         0.678571         0.714286  \n",
       "81          0.666667         0.714286         0.761905  \n",
       "82          0.666667         0.714286         0.761905  \n",
       "83          0.733333         0.733333         0.733333  \n",
       "84          0.833333         0.833333         0.666667  \n",
       "85          0.833333         0.833333         0.666667  \n",
       "86          0.833333         0.833333         0.666667  \n",
       "87          0.833333         0.833333         0.666667  \n",
       "88          0.833333         0.833333         0.666667  \n",
       "89          0.833333         0.833333         0.666667  \n",
       "90          0.833333         0.833333         0.666667  \n",
       "91          0.666667         1.000000         0.666667  \n",
       "92          0.666667         1.000000         0.666667  \n",
       "93          0.666667         1.000000         0.666667  \n",
       "94          0.666667         1.000000         0.666667  \n",
       "95          0.000000         1.000000         1.000000  \n",
       "96          0.000000         1.000000         1.000000  \n",
       "97          0.000000         1.000000         1.000000  \n",
       "98          0.000000         1.000000         1.000000  \n",
       "99          0.000000         1.000000         1.000000  \n",
       "100         0.000000         1.000000         1.000000  \n",
       "101         0.000000         1.000000         1.000000  \n",
       "102         0.000000         1.000000         1.000000  \n",
       "103         0.000000         1.000000         1.000000  \n",
       "104         0.000000         1.000000         1.000000  \n",
       "105         0.000000         1.000000         1.000000  \n",
       "\n",
       "[106 rows x 11 columns]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "brain_bundle.report_rich_club()"
   ]
  }
 ],
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