examples/PCA/PCA_on_spectroscopy_data.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Principal component analysis (PCA) on spectroscopy data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook illustrates how to use the **hoggorm** package to carry out principal component analysis (PCA) on spectroscopy data. Furthermore, we will learn how to visualise the results of the PCA using the **hoggormPlot** package."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import packages and prepare data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First import **hoggorm** for analysis of the data and **hoggormPlot** for plotting of the analysis results. We'll also import **pandas** such that we can read the data into a data frame. **numpy** is needed for checking dimensions of the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import hoggorm as ho\n",
    "import hoggormplot as hop\n",
    "import pandas as pd\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, load the spectroscopy data that we are going to analyse using **hoggorm**. After the data has been loaded into the pandas data frame, we'll display it in the notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load data\n",
    "\n",
    "# Insert code for reading data from other folder in repository instead of directly from same repository.\n",
    "data_df = pd.read_csv('gasoline_NIR.txt', header=None, sep='\\s+')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's have a look at the dimensions of the data frame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60, 401)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.shape(data_df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The ``nipalsPCA`` class in hoggorm accepts only **numpy** arrays with numerical values and not pandas data frames. Therefore, the pandas data frame holding the imported data needs to be \"taken apart\" into three parts: \n",
    "* a numpy array holding the numeric values\n",
    "* a Python list holding variable (column) names\n",
    "* a Python list holding object (row) names. \n",
    "\n",
    "The array with values will be used as input for the ``nipalsPCA`` class for analysis. The Python lists holding the variable and row names will be used later in the plotting function from the **hoggormPlot** package when visualising the results of the analysis. Below is the code needed to access both data, variable names and object names."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Get the values from the data frame\n",
    "data = data_df.values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Apply PCA to our data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's run PCA on the data using the ``nipalsPCA`` class. The documentation provides a [description of the input parameters](https://hoggorm.readthedocs.io/en/latest/pca.html). Using input paramter ``arrX`` we define which numpy array we would like to analyse. By setting input parameter ``Xstand=False`` we make sure that the variables are only mean centered, not scaled to unit variance. This is the default setting and actually doesn't need to expressed explicitly. Setting paramter ``cvType=[\"loo\"]`` we make sure that we compute the PCA model using full cross validation. ``\"loo\"`` means \"Leave One Out\". By setting paramter ``numpComp=4`` we ask for four principal components (PC) to be computed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loo\n",
      "loo\n"
     ]
    }
   ],
   "source": [
    "model = ho.nipalsPCA(arrX=data, Xstand=False, cvType=[\"loo\"], numComp=5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's it, the PCA model has been computed. Now we would like to inspect the results by visualising them. We can do this using the taylor-made plotting function for PCA from the separate [**hoggormPlot** package](https://hoggormplot.readthedocs.io/en/latest/). If we wish to plot the results for component 1 and component 2, we can do this by setting the input argument ``comp=[1, 2]``. The input argument ``plots=[1, 6]`` lets the user define which plots are to be plotted. If this list for example contains value ``1``, the function will generate the scores plot for the model. If the list contains value ``6``, the function will generate a explained variance plot. The hoggormPlot documentation provides a [description of input paramters](https://hoggormplot.readthedocs.io/en/latest/mainPlot.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/dR3HTrBmDYwb516lSsGtt7pZw1q0sEphY0LgS1IQkb8C9wIKrAT6ADWBCUBlYClwl6oe9SM+kz+oujkGRo2Cjz92fQYeecR1Ijuhvjc+HiZMcDXL8fHQsydMmQKNG1txkDG5lOdJQUTOBgYAF6lqkohMAroDNwCvq+oEERkG3AMMzev4jP/i4+H9910Jj6orHvrlFzdHTIaDB2HqVPdE8NNPbiaal1+Gdu2sx7Axp8Gv4qNiQCkROQaUBuKBq4Ce3ufvAf/GkkKRcfQofPaZeyqYPx+6dHEDhLZqFfBj/9gx+Oor90Tw+edwxRVuJNGpU6F0aV/jN6awyPOkoKrbRORV4HcgCfgSWALsU9UUb7OtQNAW5SLSD+gHULt27cgHbCJqxQr3RDBunOtI1rcvTJwYMAG9Kiz8ySWCiRPdJPN33ulmGKta1dfYjSmM/Cg+qgR0AuoB+4CPgA5BNtVg+6vqcGA4QGxsbNBtTP62dy+MH++Swc6d0Ls3/PgjnHdewEbr1x+vMI6KcjXLJ21kjAk3P4qPrgE2q2oCgIhMAVoBFUWkmPe0UAvY7kNsJkLS+xSMGgWzZsH117tJxK6+OqAKICHBPQ2MHesmLeje3WWP2FirMDYmj/iRFH4HWohIaVzx0dXAYmA20BXXAqkX8IkPsZkwS+9TMGaM6xbQpw8MGRLQpyAxET75xCWC+fNd06J//xuuuSaLSQqMMZHkR53CQhH5GNfsNAX4GVcc9DkwQURe8NaNzOvYTHgcPuyakI4eDatXu5Kfzz+Hhg29DVJS4MtvXSKYPt31IbjzTveUkOWUZcaYvCCqBbdYPjY2VhcvXux3GAZXH/zDDy4RTJ7sxpHr29f98C9Rwtvg559dIvjwQ6hVyyWCbt1sDmJj8piILFHV2GCf2fO5OS3btx/vUyDiEsHq1QET1W/e7OoFxo514w/deSfMmeOGnDDG5DuWFEyuHT3qhpgYNco9HXTt6uoMWrTw6oN374ZhH7mWQ2vXwu23u04HLVtahbEx+ZwlBROy5cvdE8H48RAT4yqNJ03y+hQcOQKTP3NPBLNnu+ZFTz7phi4tUcLv0I0xIbKkYLK1Z8/xPgUJCZn6FKSlwXffuUQwdSo0beqKh95/3wafM6aAyjIpiMiBHPYVIF5VLwhvSMZvqanw9deueOiLL6BDBzfdwFVXeX0KVqyAJ70K4ypVXCL4z3+ymdbMGFNQZPeksFFVm2S3s4j8HOZ4jI82bDg+T0GNGq54aNgwqFQJ+OMPGPSheyrYt8+1M505081OZowpNLJLCl1C2D+UbUw+dujQ8T4Fa9e6e/2MGXDJJbib/+TJLhGsWOFGqXv7bTfrvU1TaUyhlGVSUNVNmdeJyNW4UU1nqeqxYNuY/C+9T8GoUW7agTZtYOBANytlCY66J4D/jIUvv3TjUDzyCNxwA5Qs6XfoxpgIC7miWUQGAUeBNKA/bv4DU4AE9imIigroU1Ddm7pywFj32BAT4+oJhg/3yo6MMUVFdhXNrwLPq+p+b1Vt4HZveWWkAzPhNX069OoFt93m6gwuuwxk7Rp4e6zrT1CmDNx1FyxZAnXq+B2uMcYn2T0pTAUmisjnwBDgfWABUBJv6GpTcLz6KowYAV0vj3ethh4aBzt2uKkrp01zkx1bxzJjirzs6hTmA9eLyF3ALOAtVb0szyIzYbNqFRxbu5Fb3+kP9y2Czp3h//4P2ra1qSuNMSfIrvioGNAe2AncAjwmIvcB/1TVFXkUnwmDYcMg7qwXiLo4BqZ/AqVK+R2SMSafyq74aBqwDNfa6A5V7SUiZwH/ERFV1fvyJEJzWg4dgpljd/OWToWv1ltCMMZkK7ukUEdVbxSREri6BFR1O3CviDTOk+jMaRs/Hv5ZazRRTW6CatX8DscYk89llxSGi8gy3FzJgwI/UNVlEY3KhIUqDBuSxrw9Q13FsjHG5CC7iubBwOA8jMWE2cKF0GTnLEqdVdG1QTXGmBxkOVaBiPTLaedQtjH+GToUnqk0BHnoIWtuaowJSXbFR38XkT+z+VyAR7E+C/nS7t2wbOpm6hVfAN0n+R2OMaaAyC4pfAfclMP+X4UxFhNGY8bA/84ZStT1vaB0ab/DMcYUENnVKfTJy0BM+KSlweghSfy8ZzT0/9HvcIwxBYiNf1wIff013HJsEsVaxMJf/uJ3OMaYAsSSQiE0dCg8EhWHPPig36EYYwoYSwqFzNatcOCbRVTVXW4OBGOMyYUck4KIVBeRkSIy03t/kYjcE/nQzKkYMQJeOHsIUQ/2t8HujDG5FsqTwhjgC+As7/06YGCkAjKn7tgxmDx8N823TYN7LG8bY3IvlKRQVVUn4WZcQ1VTgNSIRmVOyfTp8GDJUUR3vgmqVvU7HGNMARTKdJyHRaQKbgwkRKQFsD/7XYwf3hmSypTDQ+GhD/0OxRhTQIWSFB4DpgPnich8oBrQNaJRmVxbtw6qLvmC0udVhubN/Q7HGFNA5ZgUVHWpiFwJ1McNbfGrqh6LeGQmV4YNg39ViSPqYRvnyBhz6kJpffQQUFZVf1HVVUBZEbEG8PlIUhJ8N3oT5+9dCN26+R2OMaYAC6Wi+T5V3Zf+RlX3AjbrWj4ycSI8XWko0X172zhHxpjTEkpSiBI5Xh4hItFAidM5qYhUFJGPRWStiKwRkZYiUllEvhKR9d7fSqdzjqJkVFwSN+0eA/37+x2KMaaACyUpfAFMEpGrReQq4ENg1mme901glqo2ABoBa4C/A9+o6vnAN957k4OlS+HSTRMp0epSOO88v8MxxhRwoSSFp4Bvgf7AQ7gb9pOnekIRKQ9cAYwEUNWjXvFUJ+A9b7P3gM6neo6iZOhQeLxUHPKQVfMYY05fKK2P0oCh3isczgUSgNEi0ghYgpusp7qqxnvnjBeRM4Pt7M321g+gdu3aYQqpYNq/HzZN+IkzK/0JHTr4HY4xphAIpfXR5V4Z/zoR2SQim0Vk02mcsxjQFBiqqk2Aw+SiqEhVh6tqrKrGVqtW7TTCKPjefx/+VXUIxR62cY6MMeERSue1kcBfcb/owzG8xVZgq6ou9N5/jEsKO0WkpveUUBPYFYZzFVqq8OHgP+mfMA36vup3OMaYQiKUOoX9qjpTVXep6u7016meUFV3AH+ISH1v1dXAalyv6V7eul7AJ6d6jqLg+++hy/5RRHfpZOMcGWPCJpQnhdki8gowBUhOX6mqS0/jvI8A40SkBLAJ6INLUJO8Ybl/B247jeMXesPiUhmWMhR5aKLfoRhjCpFQksJl3t/YgHUKXHWqJ1XVZZmOl+7qUz1mUbJjB6TNmEWZC6raOEfGmLAKpfVRu7wIxIRu5Ej4Z6U4ij1izVCNMeEVypMCItIRiAFKpq9T1f9EKiiTtdRUmBW3kSeTFkH3yX6HY4wpZEJpkjoM6IarBxBcWX+dCMdlsjBjBjygQyl+b28oVcrvcIwxhUworY9aqerdwF5VfQ5oCZwT2bBMVka+nUSXQ2PggQf8DsUYUwiFkhSSvL+JInIWcAyoF7mQTFY2b4Zz5k+geKvmNs6RMSYiQkkKn4lIReAVYCmwBZgQyaBMcO8MU54sE0f0gIf8DsUYU0iF0vroeW9xsoh8BpRUVZujOY8lJ8OyEYuoXmYPXH+93+EYYwqpLJOCiFylqt+KyK1BPkNVp0Q2NBNo8mR47Iw4SgywcY6MMZGT3ZPClbghs28K8pniejibPDL+rT+ZcuAT6DPI71CMMYVYlklBVZ8VkShgpqpOysOYTCYrV0LL1SMp1qWzjXNkjImobCuavbkUHs6jWEwW3hmSyoPRw4h6xCqYjTGRFUrro69E5AkROcebR7myiFSOeGQGgEOH4M8PZlKmTjW49FK/wzHGFHKhDHPR1/sb+DNVcTOomQgbNw6eLBNHiYE2zpExJvJCaZJqHdV8ogqfvbGBPsmLoZvV6xtjIi/UAfEuBi7ixAHx3o9UUMZZsAA6xQ+j+H19bJwjY0yeyDEpiMizQFtcUpgBdADmAZYUImzk4EQGHxuD9P/J71CMMUVEKBXNXXGT3+xQ1T5AI+CMiEZl2L0bSk6bQHSry+Bcq74xxuSNkAbE85qmpohIeWAXVskccaNHKU+UiqPEX60ZqjEm74SSFBZ7A+KNAJbgBsWz8owISkuDH9/8iRql9tk4R8aYPBVK66P0tpDDRGQWUF5VV0Q2rKLtq6+gT2IcZzzdH6JCydvGGBMeocy89omI9BSRMqq6xRJC5I17I4Frj0xH+vbxOxRjTBETys/Q14DWwGoR+UhEuopIyZx2Mqfmjz/gvO9GEnXrLVClit/hGGOKmFCKj74DvhORaOAq4D5gFFA+wrEVSe++k8qAYsMoPvBjv0MxxhRBoXZeK4UbQrsb0BR4L5JBFVXHjsGWITMoVbc6xMb6HY4xpggKpfPaROAyYBYQB8zxmqiaMPvkE3iQOEo/buMcGWP8EcqTwmigp6qmRjqYom76oPUMT10K3ab5HYoxpogKpU5hVl4EUtT9+iu0XD6MYg/2gZJWj2+M8UdIdQom8kYOTuRZ3qPYQ4v8DsUYU4RZz6h8IDERksd8iLRsAfVspHJjjH+yfFIQkabZ7aiqS8MfTtE0cYLySHQcpZ/4r9+hGGOKuOyKjwZ5f0sCscByQICGwEJchzYTBnNfXcjtZQ5A+/Z+h2KMKeKyLD5S1Xaq2g74DWiqqrGq2gxoAmzIqwALuyVL4Mbf4yj1VxvnyBjjv1DuQg1UdWX6G1VdBTQ+3ROLSLSI/Cwin3nv64nIQhFZLyITRaTE6Z6jIBj72i5uSP2UqHtsnCNjjP9CSQprRORdEWkrIleKyAhgTRjO/Wim47wMvK6q5wN7gXvCcI58bd8+qDhlFNr5Vqhc2e9wjDEmpKTQB/gFdxMfCKz21p0yEakFdATe9d4Lblyl9AF/3gM6n845CoIPxqTyYNQwSj1hE+kYY/KHUDqvHRGRYcAMVf01TOd9A3gSKOe9rwLsU9UU7/1W4OxgO4pIP6AfQO3atcMUTt5ThbWDPueMujWgWTO/wzHGGCC0+RRuBpbhxj5CRBqLyPRTPaGI3AjsUtUlgauDbKrB9lfV4V6ld2y1atVONQzfffcd9NwbR7knbZwjY0z+EUrx0bNAc2AfgKouA+qexjkvB24WkS3ABFyx0RtARRFJf3KpBWw/jXPke1NeXk8T+RnpdrvfoRhjTIZQkkKKqu4P1wlV9WlVraWqdYHuwLeqegcwG+jqbdYL+CRc58xv4uOh/uyhRN3b18Y5MsbkK6EkhVUi0hOIFpHzRWQw8EMEYnkKeExENuDqGEZG4Bz5wntDE+nFe5R89AG/QzHGmBOEMiDeI8A/gGTgQ+AL4PlwnFxV5wBzvOVNuGKqQi01Ffa8PZ7U5q2gbl2/wzHGmBOE0vooEZcU/hH5cAq/zz9T7kmOo8IzL/odijHGnCSUmdcuAJ7AVS5nbK+qV0UurMJr9osLaFvuEFx3nd+hGGPMSUIpPvoIGIbraGazr52GTZug1bI4Sj1n4xwZY/KnUJJCiqoOjXgkRcDY13bxBJ9T/L63/A7FGGOCCuXn6qci8qCI1BSRyumviEdWyCQnQ9SYkRy7ycY5MsbkX6E8KfTy/v4tYJ0C54Y/nMJr8qRU7ksdRoWnp/odijHGZCmU1kc2P2QYrPjfZ1x/Tk1omu2EdsYY46vspuO8SlW/FZFbg32uqlMiF1bhsnIldNgcR4VhNhqqMSZ/y+5J4UrgW+CmIJ8pYEkhRJNfXMcTxZYT3f2UxxE0xpg8kWVSUNVnvb82JdhpOHgQqk8Zito4R8aYAiCUimZEpCMQA2Tc1VT1P5EKqjCZOOowd6a9T7knluS8sTHG+CyU+RSGAd1wYyAJcBtQJ8JxFQqqsO2V8RxpdrmNc2SMKRBC6afQSlXvBvaq6nNAS+CcyIZVOPz4g3JbwhCq/MsqmI0xBUMoSSHJ+5soImcBxwBrphqCr5//kZrlDxHV/lq/QzHGmJCEUqfwmYhUBF4BluJaHr0b0agKgYQEaPBtHCX+n41zZIwpOELpvJY+d8JkEfkMKBnOmdgKq4mDd9FHZlDm4bf9DsUYY0KWXee1oJ3WvM+s81o20tLgyNvvcrh9F9Bvu08AABd4SURBVMpUquR3OMYYE7LsnhSCdVpLZ53XsvHVzBTuODSMas9O8zsUY4zJlew6r1mntVO05LnPaHzO2UgzG+fIGFOwhNJPoYqIvCUiS0VkiYi8KSJV8iK4guj336Hlz0Oo8Iw1QzXGFDyhNIuZACQAXYCu3vLESAZVkE15aR3Nii+n5J23+R2KMcbkWihNUisHtEACeEFEOkcqoILs2DEo894Qku+4B844w+9wjDEm10J5UpgtIt1FJMp73Q58HunACqJPJxzm9qMfUO2f9/sdijHGnJJQksL9wHgg2XtNAB4TkYMiciCSwRU0m/87noONWkMdGxrKGFMwhdJ5rVxeBFLQrV2jtN8YR/Vp/+d3KMYYc8pCaX10T6b30SLybORCKpi+ePYHapRLpHiHa/wOxRhjTlkoxUdXi8gMEakpIpcACwB7egiQmAhnfxJH1EM2zpExpmALpfiop4h0A1YCiUAPVZ0f8cgKkGnv7OTmtJmUfSzO71CMMea0hFJ8dD7wKDAZ2ALcJSKlIxxXgbLv1XfZc1VXsHGOjDEFXCj9FD4FHlLVb0REgMeARbjpOYu8xQtS6LxzGNWnf+p3KMYYc9pCKQBvrqrfAKgzCLDOa54F//iUtLPPIbpZY79DMcaY05ZlUhCRJwFU9YCIZB6zwQbLA/buhZjvh1DuKRvnyBhTOGT3pNA9YPnpTJ9df6onFJFzRGS2iKwRkV9E5FFvfWUR+UpE1nt/830B/fRXfqVJsZVUuKer36EYY0xYZJcUJIvlYO9zIwV4XFUvBFoAD4nIRcDfgW9U9XzgG+99vqUKMnQIB7raOEfGmMIju4pmzWI52PuQqWo8EO8tHxSRNcDZQCegrbfZe8Ac4KlTPU+kfT/jEDcfHEuFF372OxRjjAmb7JJCI29sIwFKBYxzJEDJcJxcROoCTYCFQHUvYaCq8SJyZhb79AP6AdSuXTscYZyStf8azzkxbahYx78YjDEm3LKbeS06kicWkbK4vg8DvcrskPZT1eHAcIDY2NhTfmI5HfHblcuXxVF98qt+nN4YYyLGlzEZRKQ4LiGMU9X0uZ53ikhN7/OawC4/YgvFF/+aT9VyRyhz89V+h2KMMWGV50nB6wA3Elijqq8FfDQd6OUt9wI+yevYQpGSApXGx5F6n41zZIwpfELp0RxulwN3AStFZJm37hngJWCSNyrr70C+nM/y67E7aHd0FuX/MdTvUIwxJuzyPCmo6jyybtKa78tjdv73XXa0vo3yFSv6HYoxxoSdH08KBdbGX1O4ZtM7VB1r4xwZYwonKxTPhXlPfcrRGrU54zIb58gYUzhZUgjRkSNQb0YcpR63cY6MMYWXJYUQffnWWi6WVdR4qIvfoRhjTMRYUghR8utD2HXzvTbOkTGmULOK5hCsWnCIa3eOpezLy3Le2BhjCjB7UgjB8qfGEV//Soqda+McGWMKN3tSyMHBA0rjeXFUG/dazhsbY0wBZ08KOfjmuXlULH2Uqt3yfb86Y4w5bZYUsqEKZ4wcwqG7+kOIo7gaY0xBZsVH2Vj06Q5aHZxFuRdsnCNjTNFgSSEbv/1zBCWb307DyjbOUVFw7Ngxtm7dypEjR/wOxZiwKFmyJLVq1aJ48eIh72NJIQsJ8Sm0WvUOZed87ncoJo9s3bqVcuXKUbduXUKd9MmY/EpV2b17N1u3bqVevXoh72d1ClmY9+R0DlerS4UrGvkdiskjR44coUqVKpYQTKEgIlSpUiXXT76WFIJIS4PqH8cR9bCNc1TUWEIwhcmp/PdsxUdBzBuxhotSfqHKkzbOkTGmaLEnhSAOvDSEP667FzmjhN+hmCJmx44ddO/enfPOO4+LLrqIG264gXXr1mW7T9myZQHYvn07Xbt2DbpN27ZtWbx4cbbHeeONN0hMTMxVvHPmzOHGG2/M1T65lX592WnVqlVYzrVlyxYuvvjisBwrs3DFGGmWFDL5Y80hLv9tHPVfu9/vUEwRo6rccssttG3blo0bN7J69Wr+97//sXPnzpD2P+uss/j4449P+fynkhTyix9++MHvELKUmpoK5O8YA1lSyGTpY2P5vV5bStc/x+9QTBEze/ZsihcvzgMPPJCxrnHjxrRp04ZDhw5x9dVX07RpUy655BI++eSTk/YP/JWblJRE9+7dadiwId26dSMpKSlju/79+xMbG0tMTAzPPvssAG+99Rbbt2+nXbt2tGvXDoAvv/ySli1b0rRpU2677TYOHToEwKxZs2jQoAGtW7dmypQpQa8lNTWVv/3tb1x66aU0bNiQd955B4CpU6dyzTXXoKrEx8dzwQUXsGPHDsaMGUOnTp24/vrrqV+/Ps8999xJx8zuO0h/mpgzZw5t27ala9euNGjQgDvuuANVBWDJkiVceeWVNGvWjPbt2xMfH5+xvlGjRrRs2ZK4uLig19OtWzdmzJiR8b53795MnjyZLVu20KZNG5o2bUrTpk0zbvxz5syhXbt29OzZk0suueSEGLO6ji1btnDhhRdy3333ERMTw3XXXZfx77ZhwwauueYaGjVqRNOmTdm4cSMAr7zySsZ3nP5vedpUtcC+mjVrpuGUfCRNVxe7WLeM/DqsxzUFw+rVq0947/q0h/eVnTfffFMHDhwY9LNjx47p/v37VVU1ISFBzzvvPE1LS1NV1TJlyqiq6ubNmzUmJkZVVQcNGqR9+vRRVdXly5drdHS0Llq0SFVVd+/eraqqKSkpeuWVV+ry5ctVVbVOnTqakJCQcY42bdrooUOHVFX1pZde0ueee06TkpK0Vq1aum7dOk1LS9PbbrtNO3bseFK877zzjj7//POqqnrkyBFt1qyZbtq0SVVV77jjDh08eLB27NhRx48fr6qqo0eP1ho1auiff/6piYmJGhMTkxFv+vWF8h3Mnj1by5cvr3/88YempqZqixYtdO7cuXr06FFt2bKl7tq1S1VVJ0yYkPH9XHLJJTpnzhxVVX3iiScyvsNAU6ZM0bvvvltVVZOTk7VWrVqamJiohw8f1qSkJFVVXbdunabfk2bPnq2lS5fOuOZQrmPz5s0aHR2tP//8s6qq3nbbbfrBBx+oqmrz5s11ypQpqqqalJSkhw8f1i+++ELvu+8+TUtL09TUVO3YsaN+9913J8We+b9rVVVgsWZxX7WK5gDzXpzLX4ofo3afq/wOxeQD3g/MfEFVeeaZZ/j++++Jiopi27Zt7Ny5kxo1agTd/vvvv2fAgAEANGzYkIYNG2Z8NmnSJIYPH05KSgrx8fGsXr36hM8BFixYwOrVq7n88ssBOHr0KC1btmTt2rXUq1eP888/H4A777yT4cOHn3T+L7/8khUrVmQUZ+3fv5/169dTr149Bg8ezMUXX0yLFi3o0aNHxj7XXnstVapUAeDWW29l3rx5xMbG5vo7aN68ObVq1QLck9aWLVuoWLEiq1at4tprrwXck0zNmjXZv38/+/bt48orrwTgrrvuYubMmSddT4cOHRgwYADJycnMmjWLK664glKlSrF//34efvhhli1bRnR09An1P82bNw/aPyCr6wCoV68ejRu76X6bNWvGli1bOHjwINu2beOWW24BXIe09O/4yy+/pEmTJoB7Alm/fj1XXHHFSefMDUsKgYYM4c/bH6S2NUs0PoiJicmyTmDcuHEkJCSwZMkSihcvTt26dXNsfx6sOeLmzZt59dVXWbRoEZUqVaJ3795Bj6OqXHvttXz44YcnrF+2bFlIzRxVlcGDB9O+ffuTPtu2bRtRUVHs3LmTtLQ0oqKigsab+X2o38EZARNhRUdHk5KSgqoSExPDjz/+eMK2+/btC+l6SpYsSdu2bfniiy+YOHFiRjJ7/fXXqV69OsuXLyctLS3jhg1QpkyZoMfK7joyx56UlJRR/JWZqvL0009z//3hrf+0OgXP+u/jafrnF1z8Si+/QzFF1FVXXUVycjIjRozIWLdo0SK+++479u/fz5lnnknx4sWZPXs2v/32W7bHuuKKKxg3bhwAq1atYsWKFQAcOHCAMmXKUKFCBXbu3HnCr+Jy5cpx8OBBAFq0aMH8+fPZsGEDAImJiaxbt44GDRqwefPmjDLtzEkjXfv27Rk6dCjHjh0DYN26dRw+fJiUlBT69OnD+PHjufDCC3ntteND0n/11Vfs2bOHpKQkpk2blvGUki6330Gg+vXrk5CQkJEUjh07xi+//ELFihWpUKEC8+bNA8j4zoLp3r07o0ePZu7cuRnJbv/+/dSsWZOoqCg++OCDjErl7OT2OsqXL0+tWrWYNm0aAMnJySQmJtK+fXtGjRqVUdezbds2du3alfOXkQN7UvCsf3IEext3o3m1Cn6HYoooEWHq1KkMHDiQl156iZIlS1K3bl3eeOMNYmJiuOmmm4iNjaVx48Y0aNAg22P179+fPn360LBhQxo3bkzz5s0BaNSoEU2aNCEmJoZzzz33hBtvv3796NChAzVr1mT27NmMGTOGHj16kJycDMALL7zABRdcwPDhw+nYsSNVq1aldevWrFq16qTz33vvvWzZsoWmTZuiqlSrVo1p06YxaNAg2rRpQ5s2bWjcuDGXXnopHTt2BKB169bcddddbNiwgZ49e55QdARwxx135Oo7CFSiRAk+/vhjBgwYwP79+0lJSWHgwIHExMQwevRo+vbtS+nSpYM+2aS77rrruPvuu7n55pspUcI1V3/wwQfp0qULH330Ee3atcvy6eB0r+ODDz7g/vvv51//+hfFixfno48+4rrrrmPNmjW0bNkScBXZY8eO5cwzzwzxWwlOsno0KQhiY2M1p7bXoTi87xgHKtdFZ8zkrOsb5ryDKZTWrFnDhRde6HcYRdKYMWNYvHgxb7/9tt+hFDrB/rsWkSWqGhtseys+AhY8M509lc61hGCMKfKs+AgoPzaOo/1tnCNj/NK7d2969+7tdxgGe1Jg5cTV1ElcQ8N/3+p3KKaIS2/dEuiNN97gwQcfzHY/G+bChrkIpyKfFHY+N5T1V9xLdCkb58j4q0ePHkyYMOGEdRMmTDihLX92bJiL/MmGuShA9v5+kGZrbZwjkz907dqVzz77LKO1z5YtW9i+fTutW7e2YS6wYS5smIs8GObi6y5DdGGtW0/rGKbwOGk4gLwe50JVb7jhBp02bZqqqr744ov6xBNPqKoNcxHqd2DDXNgwF6dM05RzPo3jyMtv+R2Kya98aK6dXoTUqVMnJkyYwKhRo7xQbJiLUL8DG+aiEA1zISLXA28C0cC7qvpSpM619M25VCKVSwa0i9QpjMm1zp0789hjj7F06VKSkpJo2rQpYMNcgA1zkZkW9mEuRCQaiAM6ABcBPUTkokid78hrcWzr9CASZeMcmfyjbNmytG3blr59+57wK9qGubBhLoriMBfNgQ2quglARCYAnYDV4T7Rjp/juWjbV0QPOvmx1xi/9ejRg1tvvfWElki5HRrBhrk4kQ1zEbp8M8yFiHQFrlfVe733dwGXqerDmbbrB/QDqF27drPc/FpIt2vVLja+N5eWr9gczOY4G+bCPzbMReQU5GEugpXjnJSxVHW4qsaqamy1atVO6URnXnymJQRjjAkiPxUfbQUC58CsBWz3KRZjTB6yYS7yj/z0pLAIOF9E6olICaA7MN3nmEwRk1+KU40Jh1P57znfJAVVTQEeBr4A1gCTVPUXf6MyRUnJkiXZvXu3JQZTKKgqu3fvPqGZbCjyU/ERqjoDmJHjhsZEQK1atdi6dSsJCQl+h2JMWJQsWTKjI1+o8lVSMMZPxYsXD9oD1ZiiJN8UHxljjPGfJQVjjDEZLCkYY4zJkG96NJ8KEUkAct+l2akK/BnGcAoCu+aiwa65aDida66jqkF7/xbopHA6RGRxVt28Cyu75qLBrrloiNQ1W/GRMcaYDJYUjDHGZCjKSaEojptt11w02DUXDRG55iJbp2CMMeZkRflJwRhjTCaWFIwxxmQokklBRK4XkV9FZIOI/N3veCJNREaJyC4ROXnexEJKRM4RkdkiskZEfhGRR/2OKdJEpKSI/CQiy71rfs7vmPKCiESLyM8i8pnfseQFEdkiIitFZJmILA778YtanYKIRAPrgGtxE/ssAnqoatjngs4vROQK4BDwvqpe7Hc8eUFEagI1VXWpiJQDlgCdC/m/swBlVPWQiBQH5gGPquoCn0OLKBF5DIgFyqvqjX7HE2kisgWIVdWIdNYrik8KzYENqrpJVY8CE4BOPscUUar6PbDH7zjykqrGq+pSb/kgbo6Os/2NKrLUOeS9Le69CvWvPhGpBXQE3vU7lsKiKCaFs4E/At5vpZDfLIo6EakLNAEW+htJ5HlFKcuAXcBXqlrYr/kN4Ekgze9A8pACX4rIEhHpF+6DF8WkIEHWFepfU0WZiJQFJgMDVfWA3/FEmqqmqmpj3BznzUWk0BYXisiNwC5VXeJ3LHnsclVtCnQAHvKKh8OmKCaFrcA5Ae9rAdt9isVEkFeuPhkYp6pT/I4nL6nqPmAOcL3PoUTS5cDNXhn7BOAqERnrb0iRp6rbvb+7gKm4IvGwKYpJYRFwvojUE5ESQHdgus8xmTDzKl1HAmtU9TW/48kLIlJNRCp6y6WAa4C1/kYVOar6tKrWUtW6uP+Pv1XVO30OK6JEpIzXcAIRKQNcB4S1VWGRSwqqmgI8DHyBq3ycpKq/+BtVZInIh8CPQH0R2Soi9/gdUx64HLgL9+txmfe6we+gIqwmMFtEVuB+/HylqkWimWYRUh2YJyLLgZ+Az1V1VjhPUOSapBpjjMlakXtSMMYYkzVLCsYYYzJYUjDGGJPBkoIxxpgMlhSMMcZksKRgCiwReVFE2opI59yOduu16V/oja7ZJlIx5gfe93OR33GYgsGSginILsONZ3QlMDeX+14NrFXVJqqa230Lms6AJQUTEuunYAocEXkFaA/UAzYC5wGbgY9V9T+Ztq0DjAKqAQlAH6Ayrhd7KWAb0FJVkwL2uRR4EygDJOMSyDFgKG6I5hTgMVWdLSK9cTfdaOBiYBBQAtdxLhm4QVX3iMgcYBluSILyQF9V/UlEKnvxnQskAv1UdYWI/Buo7a2vDbyhqm958d0JDPDOsxB4UFVTReSQF/eNQBJu9N/zgM+A/d6rC25U0Qe861itqt1z+29gCjFVtZe9CtwLd3MdjBseen42230K9PKW+wLTvOXewNtBti8BbAIu9d6XB4oBjwOjvXUNgN+Bkt5xNgDlcIlnP/CAt93ruIH4wI1DNMJbvgJY5S0PBp71lq8ClnnL/wZ+AM4AqgK7vWu90Lum4t52Q4C7vWUFbvKW/w/4p7c8BugacI3bgTO85Yp+/1vaK3+9rPjIFFRNcL+8GwDZTZzTEhjvLX8AtM7huPWBeFVdBKCqB9QNjdLa2x9VXQv8Blzg7TNbVQ+qagIuKXzqrV8J1A049ofe/t8D5b1xigKP+y1QRUQqeNt/rqrJ6iZT2YUb4uBqoBmwyBsi+2rc0wTAUdxTAbhJhQLPHWgFMM574kjJ4fswRUwxvwMwJjdEpDHul28t4E+gtFsty8hUDJSFnMpLJYttgg25ni45YDkt4H0aJ/4/lvm4msVx07cLPG6qdywB3lPVp4Psd0xVNdP2wXTEPa3cDPw/EYnxEp8x9qRgChZVXaZuvoB1uMrTb4H2qto4i4TwA24ETYA7cFNUZmctcJZXr4CIlBORYsD33v6IyAW4cv5fcxl+N2//1sB+Vd2f6bhtgT81+3kfvgG6isiZ3j6VvXqT7BzEFW8hIlHAOao6Gzc5TUWgbC6vwxRi9qRgChwRqQbsVdU0EWmg2c+7PAAYJSJ/43hFc5ZU9aiIdAMGe8NPJ+GGoB4CDBORlbgil96qmuxG6A7ZXhH5Aa+i2Vv3b2C0N7JpItArh/hWi8g/cTNvReEqwB/CFWdlZQIwQkQG4BLkSK+ISoDX1c29YAxgrY+MyRNe66MnVHWx37EYkx0rPjLGGJPBnhSMMcZksCcFY4wxGSwpGGOMyWBJwRhjTAZLCsYYYzJYUjDGGJPh/wMsMhcr02OfhQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hop.plot(model, comp=[1, 2], \n",
    "         plots=[1, 6])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is also possible to generate the same plots one by one with specific plot functions as shown below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hIreEmD9KRL4UkSoROScSZZoEVlwcOsMXqcnyjYkHCxdq3/tgEcjwi4sTNOCLSArwGHAyMAg4T0QG1VlsDXAp8M9wyzOtQH1NOgD5+TBvXmzrY0x9Fi78cYYfgYCfyBn+YcAK59x3zrkK4GVgbPACzrlVzrmFQHUEyjOJrr4mHbAM38SXJUu0K2awAQNg+fKwVpvIAb8XEHzKutCb1mwicqWIFIhIQbGNnth61dekAxrw582zE7cmPmze/OPIfMgherXtrl1NW0dpaa2++xs2wI4d0LFjBOvZRJEI+BJiWot+rc65p5xz+c65/K71BQST+DZvrj/D79lTu76tWRPbOhkTytat0KlT7WlZWZr1N/UiwX//G377WwCWLdMDhK5dtX9CrEWiyEKgd9DrXCAyt4UxrdPWrdC5c+h5gRO31o5v/FZergPXZ2X9eN7RR8Mnn/x4+vbtMGlS7Wnr12tKjzb979zpT3MORCbgzwUGikh/EUkDxgPTIrBe01pt2wY5OfXPz8+3dnzjv0B2X/eKcICjjoKPP/7x9PPO00fwUN9FRfDDDwCsW6eTEjbgO+eqgOuAd4ClwGTn3GIRuVNETgcQkUNFpBAYBzwpIuGPPmQSV2lpwwHfMnwTDxo6Ej3qKPj0U6j2+qHMmgWTJ8NHH8F//zd88EHNsuvX1wr4+fl63x8/tI3ESpxzM4AZdabdHvR8LtrUY5JddbUe3nboUP8ywVfchsqujImFUO33Ad27Q5cu8NZb8KtfQVmZJjJHHQU//amOCXXmmbpsUIZfWAiXXQbXXBOj91CHXWlrYqusTNtEU1LqX6ZnT11mxYrY1cuYuhoK+ACnnQaXXKLj7FxxBWRkwMiRmrAsWVKzXJ0MP9fH1DciGb4xTdZYc07AEUfAZ5/BwIHRr5MxoWzZ0nDAv/NO7W755JPa9SY3F445Ro9Mi4p0mcDzthpq163TEUT8Yhm+ia2mBvwjj9Q2UmP80liGn52tTTcDBujrq67S+952714T8LduhbQ07ZrjHIWFFvBNMiktbdoVJ0cfDR9+GP36GFOfhk7aNqRjR+3SWVamFxnuuy+kp7OjeBc7dvjXQwcs4JtYa6xLZsCwYVBSEvaohMa0WGMZfn1ENMs/9FC96ConB7Ky2PD+Egb0qfTlgqsAC/gmtprapNOmjfZ2ePvt6NfJmFDWrq19G87m6NFDx9tZunRvwO/587O5pu2Tka1jM1nAN7HV1CYdgNNPh6lTo1sfY+ozd65m6S3Ro4f+Xb16b8BvV7yGs9Y/5us4URbwTctUV7dsxMCmNumABvwvvwz7dnLGNFug73zghGxzBY4MVq3aG/ABOlRuhpUrI1PHFrCAb5pv61a9wCQ/X3smNEdTm3RA+zWPHw9PPNH8Oiar6mp4+GE44AB45BG/a5O45syBww5r+YV/J54Io0bplVZewN+Z0p5tBx0J8+dHtq7NYAHfNN8VV+ihblERzJih/eWbqjlNOgA33qj9nJ98stVciFVVpQOG3n67Xqfzhz9oU2/YtmyBsWN18K6//hUeeEAv+TfNt3Ah5OW1/P/HjtWLsqqqICeHorIsNrbpQefj8izgmwSyerWOE3LPPXqY+tvfwr33Nv3/m9OkA7DffhrsP/tM++b/7/8m9Fj533+vd8zLzdXRI269VXvvHXMM/Oc/Gqerq3UzVVQ0Y8WlpXD44ZrZf/QRHH88PPYYXHttzXgvpl5r1tS+OJbly+G//qvJ/19YqF3tawkkNjk5rN6cReZ+Pcg4Yhh89VXY9W2pxA34K1Zoltm1qwacBA4CCeXFF3U0wMCQsRdeCLNnN338+uY06QScfTY8/7zeUPqNN+Cmm5r3/3HirbfglFNgwgRtHp4xQ18/+CD84x9wxhn61k45Bfr0gYMP1h1Eo1auhLPOghNO0JWlpen0007Tz2n69Ki+r3jlXM3j66/hrrs0V/n8c3jpJfi//9Nt3aGD7oSPPRZuvhl270YD/gEHNLj+4mL45S+1VfOgg+C44+rspL0una5DDht2ZJHep7suuGxZtN5yoxIz4O/Zo4HmrLN0TOopUzSTef99PYQy0fPmmzWDQoEGlMsvh/vvr7XYe+/pleePPAKVlUEzWhLwA3r00Kg5fTpcf33CZK7V1fDzn+vj9tt1rK26QwmdcIIG948/1mt9li+H//kf/YrPmqXBaebMECvfskX/+Zhj4KGHas8TgRtugD//uUX1XrNGB4D8/e/h1FP1+qHbb9dMuKpKj0LWrdMgOn26xrLTT4eLL9Zpn32m1x81yjlNkSsrf/SZfv21toDccIMG1y++0P3+L36hTez33AMbN8Kll+omOPRQPe0zdKgm6F266PnT00/X9zN2rOYrM2Zoon3ZZZo7rl2r/QO++gom3uaoWLSMGSvrz/B379bNvnWrnpddvlwT+qee0rfz2GPwr7c0w//TX3PYUJZF9gE9dO/ijY3vB3FxmhnnDx/uCuobIve++7R/9nvvaX/tTZv0mzhvnn6qTz2ln6yprbpam2RKS/WOPamptedv366/sMWLtb3h0kt1TJuA4mLYf3/d3unpNdM3bdJLyhcsYH1Kb+6/H6ZNg5/9TAPY6NH68QAwaJDuoOveJ7Q5tm3TCDR4MDz6aE1G66PAz0hEN29JiR4MFRdrQCou1oOThgYJDbXORx/V7L97d81MX3ut9kfCgw9qlPr730OvpKJCm8WmT//Rzbirq/XnkpKiRxwHHKAf5ZQp8PLL8M03GkQHDNDgOnCgtq69+65+jVJTddMPGaIHGffdp/v/tWvhj3/UK0rXrtXWpUsv1f3RcW4meTs/IaNNBSOKXqPt1s1I+3ZI6TbSy8so7jGUso59eaHf7/mwNI8VK2DXbuGii6BdO2322rJF871Ro/TvvvvqNjntNB3tYNWqmuR8wADdBLm5+tksWAD9+9f/ORQVwXnHb+L1bw9i/44lvP++HmnVdfPN+p6nTKk5r/vhh3DuuZCZqc07nUpXsayiP1f2fYeeO1dwxwPt9TAuN1fb8aJEROY55/JDzovbgJ+R4Qq+/FIDRLC1a/VkSkGBfnJ1ffGFbtTOnfXek7t3a9QZNgxOPlk/6aws/bZ8/72u74ADdPmlS2s+LdCMslev+m+C0FQVFdquumKFpgTV1ZqKDB6sI0O2ZN31DR28bp0GgK5d9ZfQtatGmylT9BeZnq7vPyNDf8GBL9/MmbrcAQdonY49FvfwwywZexuPp/ycjz6CG3Ke5cht09l//its2VJziXhJCXwz9mYoK2PM2r9y9tlw9906/9NPNVO98UY9h5XSu6f2gAh3yMDSUl1hYSFMnAijRrEjvQtffKH7rY0bdVOvWwcdsh19Ou+gU7dU2mamUrZ+BwPkO/bbtZiqsp0U9D6TBeu7smWLfvypqbpPqazUTdWxoz4WLdJHZaVuvtGjNftctkwDZ3a2frS7dunXaeRI/QoWFenRTrt24b3lxx/XQHzFFdC+vTbZ9zrrcI2uJ5xQ/z/ec4+moM89R0mJntP9+GPNaEtKdFyv1FTNnUpLNXCOH6/vr759aXm5zquubnjg082b4emn4fFb1/Dw+QWcPOM6vhlxGdu3w8ulJ9N1aA/mflxOzoiDKNu6h/EbH6HP7mUML34bsrNp73YgY06FMWP0t9q+vX5HReDXv6ZsV1s+ueRv/PSq/g3Wo1k++AAmTuS5Kz7hoYf065qZWfO+P/5Yt8+iRfoTC3BOj0IyMnRzL5+zjSVFnXj/ns95bf3h/OUv6KFRerr+jdLQ34kZ8PfbzxVs2wa33abRIrBxJkzQdOeuu+r/56oq/SUuWqTf5EMP1bPub7+tO4DNm7UpaOBAbSydP1+/+cOH6/+2a6ef3vr1NbeoGTsWzjlHy87K0l99Wpr+mnfs0HUdeGBNPYuLNR1ZsgSeew769dNUqFMnbZKaM0dTKOd02v776/p69NBHYLztQJQQ0R3UnDnarFFcDH376jcwOxvat8d9/z2uvII9hx5BStkW2mzyUsvsbDj1VLZNuJFv0w9m105H6huvsnXtDnYvX01V+04MufAn9D59GCkds9mwQav9yI1reH7VMRSccy9d/t+59L58NC9mXs3jm85hwwa44ALdlHPnwlkji3nozYHs/Po7uh1YM/5IdbXuMzds0CTzlHFZ+iI7u0nfA+f06vTcXA3gGRm6ab79Foo3OdpNfo7BS6bQb90nfF/dj6Xdj2V+3zPY06c/+SXvMHzDdDqt+5qssiIER0lGLzpUbKY4PZcFMozUlGqO2vUuG3ofRmm/n7Ch6xBKsvpQOeBAyMlhe3kaJSVa9pAhmu2lp2smvHbK5xy97U0GLpxK2taNVHXpTvmJp5F1+6+RfSM/YMquXXqSd9MmDczrP/me2ZWHM+ul9aS1a8tJJ/34f0pKYNLjJVx4x/6Mzv2Gb7buy4knahPHAQfU9Dys/moBVSeeQsrQwaQ8cF94PVSCVVbCtddS/dzzSEob5KOPtNDGzJqle6KMDE2WXn9do+vy5fphFBXpHvCbbzTl//3vNX0/44zw6/zww7ByJe7/HuW88/RnefbZWqXnntOc8fnndYfYkE8/ruaIUW2RJUs0NgSkp+sHmJERfl1DSMyAn5/vCl59FXf6WBgxAvnLI/rtHTRIj6VaMqhRfULclGPPHg02KSkgRes1Q542TT+osjLdkVRWUt29J1srs8hc8TVtMtNpc1g+afPnUr2pmKqRx9H24ANpc+H57Bk0BJE6Ny52TncomzfD2rWUFFWw+vMi2mzaQPqWIlJ3bCG14geodlTvcWxs15/VmQfyea+z2ZbZg+5ly9mV0p527gf2bN7Kvxf0Z0eHnuwqb8P27fpDzs6G9lmOfbsLy5frQVEgaPbtqwFs40Ztfigs1P1d9+4aYH/5SxjX61Pk/PN0gbPPxq1Zy7I1mu48+KC2rOTl6f6M887TneuvflVr886b57XpflTJ1OmZGgSakN04p/v6N97Qz6FXL91fr1+v+9du3bTdOCsL8gZXMiLtSzI+naXtHmvW6C9yzBg9uhs4sGZHe+CBujMNKCzUdHfhQm3SWr1aA0ubNrqT79FDN0zgsWePZpuffgoXXaTL9O+vO+S//x3+9S89mrr44qjewKVs4r3MfvF7Ltj+BGlpmsh//rk2LZx/vsbByZO1S/hdpdfRrmMq2X97uKYlb9cu3bgzZ+r3+6GH9LO57TZtJL/xxvAOS7Zs0VS4bVttl1qz5kfNSi3inCYNPXpo8B8wQLdzeroe9txwgx7Bt9TFF2tb1oQJbNumNyvZsUNDzy9+oQfATdatmyaewSOmde6sGUvwdzCCEjLg5+bmuwceKOCPN5XxkruQvuXLSO+Yydahx5A7tf4LSvbs0fbI4mL9bS5dqr/LoUP1nG5BgX43MjI0iGRnaxDp0UO/l5WV+n2aNUv/f/du3Q/066cHA5s36/e2TRstq7hYvwg5HRyd1iygy6p5LOt4OF+XH8Du6jR27dJYU1ys/5OdrRnD7t263wgEtU8/1ZNco0Zp80F6ui4X+HgyM2GfffTRtm1NHBGpaXo44YTaYz2Vl+sXdft2jWF5eS08X3r22XqWa+pUjfD1KSjQI6GTT9aLpdrW3G6hrAx+0mszK9seQJutW5pU7J/+BK+8ogdKLRnDKmyrV2sg3L5d30tKiv5t21Z/rKeeqh9IXV99pUeixxyj2WK05OdTedd9FA85jg8+0O3Uvbs2yUyZojHmjDO8VtENG/QQ5aabNFlZsEB/EAMH6o7xggtqmtmWLtXuths2aIN9IOg7pz+Kuud+QnFO9zrt22tf06DvQsStX19zZP7aa3phw4gRunM5/3zdGbdpU5NoNFaXgw/WbjzDhkWmbnX3EL176w++d+/w1x9CQgb87t3z3aGHFnDuufDWDEf17E8o37ydT7J+yvDDUvjv/9ZuVP366SH/M8/o9ps9WxOXQMtJr16a5M2fr7/Nq67S7+L27dpUX1WlQXjZMg3CgZ3uMcdo0M3I0OVWrdLHPvtoOVVV+r3Zd9/awaiiQn8ngWb/lBTdmefkaLmVlRqIMzJ02nffaRvnkUfqSc5w23mjojm3GvzhBz1z9dVXugMI+rJfc+JK7v1yNNnFjcVp2RoAABK6SURBVPc1XLNGf2/1naqJe1u36h724Ye1q02kbdmiX/6SkqYFYNBM84EHNAgPHapNmMOHh162uloz3f/8R1+PHq0fxtatujPIztYfyEEH6YmKYFVVNV1YPv009l/qbdtq7i87a5aex7r6au06M2KEnvuZNEl7lmVk1P5ub92qmV1JSfQ6Axx4oAat4GaeCErIgJ+fn+8KCgr2vl6yRL97gXOtb72l379vv9Ud+e9+p60tP/mJfgeNz66/Xvd2Dz64d9K7937Jfn+8nAHbG7/S8NxzNTO9444o1jHa5s3T9pSFC5vZDtAE06ZpF55AQI6G8nI9Eth3Xy0vP18PGV95ReeVl2tz0K9/rZlUoEn0mWe0aeu99xo+oxsLzmlX4kmTNNj/6U86bcgQzQ5379abjp93nk5fsECb6/797+jV6ZBD4G9/q39nG6aGAj7Oubh8DB8+3DXFDz84t2dPkxY1sbRqlXOdO9f6cHbNmOVmpxzjNm5s+F+//NK5Xr30s01411zj3O9+F/n13nijc//7v5Ffb3MtWuTc+PHO9ezp3NKlzs2b51y3bs598YXfNQtt40bnysudq652rqTEuZ07nZs0ybmf/tS5vDznRJx74YXo1uHoo5378MOorR4ocPXE1cS88CpIu3b4ekMBU4++fTXjC7qqMGP3NjK75/DCCw3/64MP6gnjuGzeaq5rr9VsLpIXBAay1oa6YsbK4MF6kvrOO7WZaOxYvfK9KT1x/NCtmzbViOjJ08xMPZx85x1thvzgA30dTVlZe29qHmsRCZUicpKILBORFSJyS4j56SIyyZv/hYj0i0S5Js4ddVTt+9KWlrL/8Bzuu0/Pc4RSWqodR664IjZVjLpBg/SkTyQHMVuwQJtT4imoTpigvZ3WrNGrrBLVqFFR6y65V1ZWiIF3YiPsgC8iKcBjwMnAIOA8EalztRQTgK3Ouf2Bh4FmjLZlEtZRR+n1DgFbtpDTvzOXXw6/+U3of3n9dT0Z70uvnGi54AL45z8jt75XX4Vx46La5bNFunWLvzrFowTP8A8DVjjnvnPOVQAvA3XHNRgLBA7kpwLHi9g3o9XLz9f+7QHeTaF/9zvtgvr007UX371bu69fdllsqxl1Y8Zok0GkOkh88EHjV/2Y+NWunW8BPxKdY3sBwbckKgQOr28Z51yViJQCXYDNwQuJyJXAlQA9evTgqqCba9x2220A3H333XunjRkzhtNOO42bbrqJ0tJSAPr06cPEiRN56aWX+Pjjj/cue++997J69Woef/zxvdMuuOACRo0aVaucIUOGcN111/Hoo4/y9ddf753+5JNP8tFHH/GPf/xj77RrrrmGvn37cvPNN++ddvTRR3PRRRdx1113scYbQTInJ4f77ruPN954gzfffDO53tPhhzPm3//mtDPO4KZNmygFuPEqzjuvDzfdNBHnXqKgoOY9HXTQvfTvv5qrrorj99SSz6l3bx6/+urIvKeDDuKanBz6bttm371EfE9t23LRDz9E7T01JOxumSIyDjjROXeF9/oi4DDn3M+DllnsLVPovV7pLVNS33rrdss0CWrwYO2iN2yYdn077TS9GAbtyVdZqaMarlypvf3mz4/a9Sj+uvpqHcugzlXIzfbWWzqsSFCgMgnm9tv1Ip69IwpGVkPdMiPRpFMIBP9Ec4H19S0jIm2BHKBpl1uaxDZsWM0dfrZsqTUkxt1366QFC7Rr8ptvttJgD9qj5t13w1/Ps8/qOQGTuHxsw49Ek85cYKCI9AfWAeOB8+ssMw24BPgMOAeY5cI9tDCJIS/olm5bt9Y6G9ulS3Svb4krxx2nvVd27255L5B16/RipronP0xiCYwh7YOwM3znXBVwHfAOsBSY7JxbLCJ3isjp3mLPAF1EZAXwK+BHXTdNKzUs6JZudTL8pNKpkzZvBXdTbYpXXtErQR94QIc0mDCh5TeQMfEhwU/a4pybAcyoM+32oOe7gXGRKMskmLw8bbOprk7ugA81zTrHHde05adN0+EZ//xnHY+3srJ59w828al9e9/uemXXqJro6tKlZpS4srKaGzsno+a04+/cqXeOmTpV+9xPn67j5gQPs2sSU06OXmHoAwv4Jvry8rTveHa2/4Np+WnECN3xNeWG788+q8vXup+haRVycqJ6i8OGWMA30ZeXp6MqtqrLZ1sgLU2H5g3q5x3SV1/pmO533hmbepnY6tDBMnzTig0bpsMBROKGEonu2mt1+OCGxlK58Ua9fVUk7g5l4o816ZhWLS9P7wwzzs7bs//+2lQTdDVmLR9+mPgDkJmG+Rjwo3jfMWM8/frpvfYauj1iMrn1Vr1tZE6OHt6feKIOOuac3vHlt7+N7i0Bjb+ysvR6jMrKpt+tLEIswzfRJ6L3Gs3O9rsm8eHII3V4hH/9S+8WddllGuyffFK7rl54od81NNEkojv6xx7TWynGkKURxvjh8sv1sWuXjgc9erTePPz99y27TwYdOsANN2ivtZ//vPHlI8S+Wcb4KTNT+9hPn65X1Pbp43eNTCwErpaO9L2OG2EB3xi/7bOPdtc0ySMQ8NPSYlqsteEbY0ysdeigfysqYlqsBXxjjIm1QIZvAd8YY1o5nwK+teEbY0ysXXyx3ifCMnxjjGnljjhCb/NmAd8YY5JAWpoFfGOMSQp1A/4338CePVEt0gK+Mcb4oW7Av/RSKCiIapEW8I0xxg91A35FhQ61EUUW8I0xxg91A35VlY6iGUUW8I0xxg+hAn55eVSLtIBvjDF+SLSALyKdReRdEfnW+xvypqUi8raIbBORN8MpzxhjWo1EC/jALcBM59xAYKb3OpT7gYvCLMsYY1qPBAz4Y4EXvOcvAGeEWsg5NxPYHmZZxhjTeiRgwN/XOVcE4P3tFs7KRORKESkQkYLi4uIwq2aMMXEsNTXmvXQaHTxNRN4DuoeYNTHSlXHOPQU8BZCfn+8ivX5jjIkbPmT4jQZ859zo+uaJyEYR6eGcKxKRHsCmiNbOGGNaqwRs0pkGBO7NdgnwepjrM8aY5FA34O/ZE/cB/0/ACSLyLXCC9xoRyReRpwMLichsYApwvIgUisiJYZZrjDGJLR6bdBrinCsBjg8xvQC4Iuj1yHDKMcaYVicBm3SMMca0RHDAr67Wh42lY4wxrVBwwA+Mg28ZvjHGtELBAb+qSv9awDfGmFbIAr4xxiQJC/jGGJMkLOAbY0ySCBXwrZeOMca0QmlpUFmpzy3DN8aYViw1VQO+cxbwjTGmVROpGSK5qkpfW8A3xphWql07+OEHDfhZWRbwjTGm1erQAbZvt4BvjDGtXnZ27YBvvXSMMaaV6tAByso04Ldvbxm+Mca0WsEZfmamDqJWXR214izgG2OMX4IDfmoqzJkT1eIs4BtjjF+Cm3TatoX8fGgTvbBsAd8YY/wSnOG3DesGhE1iAd8YY/ySnV07w48yC/jGGOOX4H74FvCNMaYVsyYdY4xJEnVP2kZZWAFfRDqLyLsi8q33t1OIZfJE5DMRWSwiC0XkZ+GUaYwxrUaCZfi3ADOdcwOBmd7runYCFzvnBgMnAX8WkY5hlmuMMYkvwQL+WOAF7/kLwBl1F3DOLXfOfes9Xw9sArqGWa4xxiS+RGrSAfZ1zhUBeH+7NbSwiBwGpAEr65l/pYgUiEhBcXFxmFUzxpg4l5UFO3bELOA3WoKIvAd0DzFrYnMKEpEewEvAJc65kINFOOeeAp4CyM/Pd81ZvzHGJJzMTB0wLV4CvnNudH3zRGSjiPRwzhV5AX1TPct1AKYDv3XOfd7i2hpjTGuSkaFDIidIk8404BLv+SXA63UXEJE04DXgRefclDDLM8aY1iMQ8PfsgZSUqBcXbsD/E3CCiHwLnOC9RkTyReRpb5lzgVHApSIy33vkhVmuMcYkvowM2LUrfpp0GuKcKwGODzG9ALjCe/534O/hlGOMMa1SerrexLyiIiGadIwxxrSUiAb9H36wgG+MMa1eZqZ2zbSAb4wxrVxGhgV8Y4xJChbwjTEmSVjAN8aYJJGRoQOoWcA3xphWLjPTAr4xxiSFjAzYuBFycqJelAV8Y4zxUyDgd4z+bUIs4BtjjJ8yMqC6Gjr96IaBEWcB3xhj/JSRoX8twzfGmFYuM1P/WoZvjDGtXCDDt4BvjDGtXEYGpKbWZPpRZAHfGGP8lJGh2b1I1IuygG+MMX7KyIjJCVuwgG+MMf4KZPgxYAHfGGP8lJlpGb4xxiSFGGb40R+txxhjTP3GjoURI2JSlAV8Y4zxU9eu+ogBa9IxxpgkEVbAF5HOIvKuiHzr/f1RQ5SI9BWReSIyX0QWi8jV4ZRpjDGmZcLN8G8BZjrnBgIzvdd1FQFHOufygMOBW0SkZ5jlGmOMaaZwA/5Y4AXv+QvAGXUXcM5VOOfKvZfpESjTGGNMC4QbfPd1zhUBeH+7hVpIRHqLyEJgLXCvc259PctdKSIFIlJQXFwcZtWMMcYEa7SXjoi8B3QPMWtiUwtxzq0FhnpNOf8WkanOuY0hlnsKeAogPz/fNXX9xhhjGtdowHfOja5vnohsFJEezrkiEekBbGpkXetFZDEwEpja7NoaY4xpsXCbdKYBl3jPLwFer7uAiOSKSKb3vBNwFLAszHKNMcY0kzjX8pYTEekCTAb6AGuAcc65LSKSD1ztnLtCRE4AHgQcIMCjXtNNY+veTnzvGPYBNvtdiQZY/VounusGVr9wtfb69XXOhbySK6yAH00iUuCcy/e7HvWx+oUnnusXz3UDq1+4krl+1kXSGGOShAV8Y4xJEvEc8Btt5/eZ1S888Vy/eK4bWP3ClbT1i9s2fGOMMZEVzxm+McaYCLKAb4wxSSIuA76InCQiy0RkhYiEGoEz5kRklYh87Q3zXOBNa3R46CjW51kR2SQii4KmhayPqL9423OhiBziQ93uEJF13vabLyKnBM271avbMhE5MZp188rrLSLvi8hSb8juX3rTfd9+DdQtLrafiGSIyBwRWeDV7w/e9P4i8oW37SaJSJo3Pd17vcKb38+n+j0vIt8Hbb88b3pMfxtB9UwRka9E5E3vdWy2n3Murh5ACrAS2A9IAxYAg+KgXquAfepMuw+4xXt+CzowXKzqMwo4BFjUWH2AU4C30AvfRgBf+FC3O4Bfh1h2kPcZpwP9vc8+Jcr16wEc4j3PBpZ79fB9+zVQt7jYft42aO89TwW+8LbJZGC8N/0J4P95z68BnvCejwcmRfmzra9+zwPnhFg+pr+NoHJ/BfwTeNN7HZPtF48Z/mHACufcd865CuBldBjmeNTo8NDR4pz7CNjSxPqMBV506nOgo+jYR7GsW33GAi8758qdc98DK9DvQNQ454qcc196z7cDS4FexMH2a6Bu9Ynp9vO2wQ7vZar3cMBx1IyPVXfbBbbpVOB4EREf6lefmP42QIebAU4FnvZeCzHafvEY8HuhwygHFNLwFz5WHPAf0bt3XelNa9Lw0DFUX33iZZte5x02PxvU/OVr3bxD5GFoJhhX269O3SBOtp/XHDEfHSzxXfSoYptzripEHfbWz5tfCnSJZf2cc4Htd5e3/R4WkfS69QtR92j5M3ATUO297kKMtl88BvxQe6946Dt6lHPuEOBk4FoRGeV3hZohHrbpX4EBQB56F7QHvem+1U1E2gOvANc758oaWjTEtKjWMUTd4mb7Oef2OL2DXS56NHFQA3XwvX4icjBwK3AgcCjQGbjZj/qJyBhgk3NuXvDkBuoQ0frFY8AvBHoHvc4FQt4wJZacd9MW59wm4DX0i74xcPgnTRgeOgbqq4/v29Q5t9H7IVYDf6Om2cGXuolIKhpQ/+Gce9WbHBfbL1Td4m37eXXaBnyAtn13FJHAcOvBddhbP29+Dk1v7otU/U7ymsqc07vvPYd/2+8o4HQRWYU2Vx+HZvwx2X7xGPDnAgO9s9Zp6ImKaX5WSESyRCQ78Bz4KbCIJgwPHWP11WcacLHXI2EEUBpouoiVOu2iZ6LbL1C38V5vhP7AQGBOlOsiwDPAUufcQ0GzfN9+9dUtXrafiHQVkY7e80xgNHqe4X3gHG+xutsusE3PAWY57wxkDOv3TdCOXND28eDtF7PfhnPuVudcrnOuHxrbZjnnLiBW2y/SZ58j8UDPnC9H2wYnxkF99kN7QiwAFgfqhLalzQS+9f52jmGd/oUe2leiWcCE+uqDHhY+5m3Pr4F8H+r2klf2Qu9L3CNo+Yle3ZYBJ8dg2x2NHhYvBOZ7j1PiYfs1ULe42H7AUOArrx6LgNuDfiNz0JPGU4B0b3qG93qFN38/n+o3y9t+i4C/U9OTJ6a/jTp1PZaaXjox2X42tIIxxiSJeGzSMcYYEwUW8I0xJklYwDfGmCRhAd8YY5KEBXxjjEkSFvCNMSZJWMA3xpgk8f8BnTmpiw3KsIIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hop.loadings(model, line=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Accessing numerical results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have visualised the PCA results, we may also want to access the numerical results. Below are some examples. For a complete list of accessible results, please see this part of the documentation.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "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>PC1</th>\n",
       "      <th>PC2</th>\n",
       "      <th>PC3</th>\n",
       "      <th>PC4</th>\n",
       "      <th>PC5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.020082</td>\n",
       "      <td>0.073100</td>\n",
       "      <td>0.096431</td>\n",
       "      <td>-0.037799</td>\n",
       "      <td>0.046846</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.542646</td>\n",
       "      <td>0.046265</td>\n",
       "      <td>0.045296</td>\n",
       "      <td>-0.002835</td>\n",
       "      <td>0.000012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.449275</td>\n",
       "      <td>0.044604</td>\n",
       "      <td>-0.054206</td>\n",
       "      <td>0.084612</td>\n",
       "      <td>-0.001227</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.376704</td>\n",
       "      <td>0.051102</td>\n",
       "      <td>0.104006</td>\n",
       "      <td>-0.053364</td>\n",
       "      <td>-0.010051</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.182992</td>\n",
       "      <td>0.115471</td>\n",
       "      <td>0.057602</td>\n",
       "      <td>0.065753</td>\n",
       "      <td>-0.038813</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.109397</td>\n",
       "      <td>0.104524</td>\n",
       "      <td>0.100058</td>\n",
       "      <td>-0.013542</td>\n",
       "      <td>-0.010737</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.111562</td>\n",
       "      <td>0.060955</td>\n",
       "      <td>0.022934</td>\n",
       "      <td>0.076916</td>\n",
       "      <td>-0.027543</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.212391</td>\n",
       "      <td>0.025322</td>\n",
       "      <td>-0.043598</td>\n",
       "      <td>0.068100</td>\n",
       "      <td>-0.015676</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-0.031795</td>\n",
       "      <td>0.041594</td>\n",
       "      <td>0.010894</td>\n",
       "      <td>0.081882</td>\n",
       "      <td>-0.027163</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-0.128297</td>\n",
       "      <td>0.043146</td>\n",
       "      <td>0.034463</td>\n",
       "      <td>0.067407</td>\n",
       "      <td>-0.034408</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>-0.330325</td>\n",
       "      <td>0.062721</td>\n",
       "      <td>0.072876</td>\n",
       "      <td>0.041560</td>\n",
       "      <td>-0.050676</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>-0.150899</td>\n",
       "      <td>0.092627</td>\n",
       "      <td>0.054870</td>\n",
       "      <td>0.034622</td>\n",
       "      <td>0.023315</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.187740</td>\n",
       "      <td>0.057718</td>\n",
       "      <td>-0.021295</td>\n",
       "      <td>0.019425</td>\n",
       "      <td>0.025586</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.383453</td>\n",
       "      <td>-0.021562</td>\n",
       "      <td>-0.036986</td>\n",
       "      <td>0.083399</td>\n",
       "      <td>-0.003030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.638147</td>\n",
       "      <td>-0.001555</td>\n",
       "      <td>-0.104313</td>\n",
       "      <td>0.108991</td>\n",
       "      <td>0.029752</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>-0.007105</td>\n",
       "      <td>0.117427</td>\n",
       "      <td>0.064642</td>\n",
       "      <td>-0.048103</td>\n",
       "      <td>0.013449</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-0.088702</td>\n",
       "      <td>0.017913</td>\n",
       "      <td>0.026664</td>\n",
       "      <td>0.047621</td>\n",
       "      <td>-0.014257</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>-0.047416</td>\n",
       "      <td>-0.015238</td>\n",
       "      <td>-0.019832</td>\n",
       "      <td>0.048342</td>\n",
       "      <td>-0.034342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.181089</td>\n",
       "      <td>-0.035604</td>\n",
       "      <td>-0.003778</td>\n",
       "      <td>-0.045163</td>\n",
       "      <td>-0.031364</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.178874</td>\n",
       "      <td>-0.019445</td>\n",
       "      <td>-0.077394</td>\n",
       "      <td>0.038980</td>\n",
       "      <td>-0.026786</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>-0.027648</td>\n",
       "      <td>-0.035444</td>\n",
       "      <td>-0.019790</td>\n",
       "      <td>-0.029763</td>\n",
       "      <td>0.005307</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>0.071045</td>\n",
       "      <td>0.091036</td>\n",
       "      <td>0.055278</td>\n",
       "      <td>0.052574</td>\n",
       "      <td>0.046931</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0.077800</td>\n",
       "      <td>-0.043384</td>\n",
       "      <td>-0.032646</td>\n",
       "      <td>-0.011096</td>\n",
       "      <td>0.016625</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0.031985</td>\n",
       "      <td>-0.031871</td>\n",
       "      <td>-0.046500</td>\n",
       "      <td>-0.003679</td>\n",
       "      <td>0.011674</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0.041228</td>\n",
       "      <td>-0.024730</td>\n",
       "      <td>-0.033556</td>\n",
       "      <td>-0.021070</td>\n",
       "      <td>-0.009628</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>-0.060019</td>\n",
       "      <td>0.028806</td>\n",
       "      <td>-0.033591</td>\n",
       "      <td>0.038877</td>\n",
       "      <td>-0.030129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0.016830</td>\n",
       "      <td>-0.024295</td>\n",
       "      <td>0.010075</td>\n",
       "      <td>-0.019613</td>\n",
       "      <td>-0.034138</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>-0.038189</td>\n",
       "      <td>-0.002290</td>\n",
       "      <td>0.008420</td>\n",
       "      <td>-0.051550</td>\n",
       "      <td>-0.035685</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>0.023648</td>\n",
       "      <td>-0.022413</td>\n",
       "      <td>-0.013838</td>\n",
       "      <td>-0.036173</td>\n",
       "      <td>-0.029122</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>-0.105895</td>\n",
       "      <td>0.012047</td>\n",
       "      <td>-0.004296</td>\n",
       "      <td>-0.045851</td>\n",
       "      <td>-0.040868</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>-0.047441</td>\n",
       "      <td>0.000033</td>\n",
       "      <td>-0.008697</td>\n",
       "      <td>-0.042641</td>\n",
       "      <td>-0.032110</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>0.187534</td>\n",
       "      <td>-0.022869</td>\n",
       "      <td>0.013618</td>\n",
       "      <td>-0.092517</td>\n",
       "      <td>-0.024474</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>0.146407</td>\n",
       "      <td>-0.068205</td>\n",
       "      <td>-0.003919</td>\n",
       "      <td>-0.098227</td>\n",
       "      <td>-0.033467</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>0.195055</td>\n",
       "      <td>-0.024977</td>\n",
       "      <td>0.024834</td>\n",
       "      <td>-0.086974</td>\n",
       "      <td>-0.021873</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>0.159787</td>\n",
       "      <td>0.002144</td>\n",
       "      <td>0.018705</td>\n",
       "      <td>-0.099364</td>\n",
       "      <td>-0.022671</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>-0.081573</td>\n",
       "      <td>-0.017168</td>\n",
       "      <td>-0.027075</td>\n",
       "      <td>0.013575</td>\n",
       "      <td>0.015423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>-0.015318</td>\n",
       "      <td>0.059270</td>\n",
       "      <td>0.044154</td>\n",
       "      <td>-0.072180</td>\n",
       "      <td>-0.021116</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>-0.106706</td>\n",
       "      <td>0.100428</td>\n",
       "      <td>-0.038002</td>\n",
       "      <td>-0.002219</td>\n",
       "      <td>0.026249</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>0.139389</td>\n",
       "      <td>0.065463</td>\n",
       "      <td>-0.095523</td>\n",
       "      <td>0.007187</td>\n",
       "      <td>0.031572</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>-0.055542</td>\n",
       "      <td>0.077330</td>\n",
       "      <td>-0.067287</td>\n",
       "      <td>-0.004627</td>\n",
       "      <td>0.023319</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>-0.446575</td>\n",
       "      <td>0.068214</td>\n",
       "      <td>0.044731</td>\n",
       "      <td>0.026488</td>\n",
       "      <td>0.007700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>-0.227192</td>\n",
       "      <td>0.036635</td>\n",
       "      <td>0.025081</td>\n",
       "      <td>0.050707</td>\n",
       "      <td>0.001265</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>-0.092009</td>\n",
       "      <td>0.134978</td>\n",
       "      <td>0.019401</td>\n",
       "      <td>0.034867</td>\n",
       "      <td>0.025334</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>0.117264</td>\n",
       "      <td>0.081724</td>\n",
       "      <td>0.017791</td>\n",
       "      <td>-0.071819</td>\n",
       "      <td>0.027142</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>-0.237260</td>\n",
       "      <td>0.018575</td>\n",
       "      <td>-0.018433</td>\n",
       "      <td>0.017841</td>\n",
       "      <td>-0.032216</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>-0.223863</td>\n",
       "      <td>-0.017054</td>\n",
       "      <td>-0.133874</td>\n",
       "      <td>-0.050688</td>\n",
       "      <td>0.000184</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>-0.214449</td>\n",
       "      <td>0.060487</td>\n",
       "      <td>-0.128651</td>\n",
       "      <td>-0.063840</td>\n",
       "      <td>0.024707</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>-0.038774</td>\n",
       "      <td>-0.028185</td>\n",
       "      <td>-0.161677</td>\n",
       "      <td>-0.015499</td>\n",
       "      <td>0.026029</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>-0.246086</td>\n",
       "      <td>0.037270</td>\n",
       "      <td>-0.124576</td>\n",
       "      <td>-0.059362</td>\n",
       "      <td>0.022400</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>-0.299978</td>\n",
       "      <td>-0.020337</td>\n",
       "      <td>-0.138278</td>\n",
       "      <td>-0.058612</td>\n",
       "      <td>0.016963</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>-0.090237</td>\n",
       "      <td>-0.132572</td>\n",
       "      <td>0.033165</td>\n",
       "      <td>0.056402</td>\n",
       "      <td>0.019897</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>-0.258698</td>\n",
       "      <td>-0.035266</td>\n",
       "      <td>0.062520</td>\n",
       "      <td>0.004572</td>\n",
       "      <td>0.046272</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>-0.199072</td>\n",
       "      <td>-0.130261</td>\n",
       "      <td>0.052066</td>\n",
       "      <td>0.061786</td>\n",
       "      <td>0.018574</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>0.188517</td>\n",
       "      <td>-0.226176</td>\n",
       "      <td>0.078105</td>\n",
       "      <td>-0.018149</td>\n",
       "      <td>0.011294</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>0.001480</td>\n",
       "      <td>-0.121921</td>\n",
       "      <td>0.138903</td>\n",
       "      <td>-0.004198</td>\n",
       "      <td>0.045438</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>0.034911</td>\n",
       "      <td>0.024347</td>\n",
       "      <td>0.109181</td>\n",
       "      <td>-0.064924</td>\n",
       "      <td>0.066777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>0.028317</td>\n",
       "      <td>-0.274534</td>\n",
       "      <td>-0.001543</td>\n",
       "      <td>0.039919</td>\n",
       "      <td>-0.002510</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>-0.143540</td>\n",
       "      <td>-0.135706</td>\n",
       "      <td>0.048483</td>\n",
       "      <td>0.000467</td>\n",
       "      <td>0.016535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>-0.307520</td>\n",
       "      <td>-0.151975</td>\n",
       "      <td>-0.017598</td>\n",
       "      <td>0.051528</td>\n",
       "      <td>0.009738</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>-0.098318</td>\n",
       "      <td>-0.168236</td>\n",
       "      <td>0.015503</td>\n",
       "      <td>0.001042</td>\n",
       "      <td>-0.006231</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         PC1       PC2       PC3       PC4       PC5\n",
       "0   0.020082  0.073100  0.096431 -0.037799  0.046846\n",
       "1   0.542646  0.046265  0.045296 -0.002835  0.000012\n",
       "2   0.449275  0.044604 -0.054206  0.084612 -0.001227\n",
       "3   0.376704  0.051102  0.104006 -0.053364 -0.010051\n",
       "4  -0.182992  0.115471  0.057602  0.065753 -0.038813\n",
       "5   0.109397  0.104524  0.100058 -0.013542 -0.010737\n",
       "6  -0.111562  0.060955  0.022934  0.076916 -0.027543\n",
       "7   0.212391  0.025322 -0.043598  0.068100 -0.015676\n",
       "8  -0.031795  0.041594  0.010894  0.081882 -0.027163\n",
       "9  -0.128297  0.043146  0.034463  0.067407 -0.034408\n",
       "10 -0.330325  0.062721  0.072876  0.041560 -0.050676\n",
       "11 -0.150899  0.092627  0.054870  0.034622  0.023315\n",
       "12  0.187740  0.057718 -0.021295  0.019425  0.025586\n",
       "13  0.383453 -0.021562 -0.036986  0.083399 -0.003030\n",
       "14  0.638147 -0.001555 -0.104313  0.108991  0.029752\n",
       "15 -0.007105  0.117427  0.064642 -0.048103  0.013449\n",
       "16 -0.088702  0.017913  0.026664  0.047621 -0.014257\n",
       "17 -0.047416 -0.015238 -0.019832  0.048342 -0.034342\n",
       "18  0.181089 -0.035604 -0.003778 -0.045163 -0.031364\n",
       "19  0.178874 -0.019445 -0.077394  0.038980 -0.026786\n",
       "20 -0.027648 -0.035444 -0.019790 -0.029763  0.005307\n",
       "21  0.071045  0.091036  0.055278  0.052574  0.046931\n",
       "22  0.077800 -0.043384 -0.032646 -0.011096  0.016625\n",
       "23  0.031985 -0.031871 -0.046500 -0.003679  0.011674\n",
       "24  0.041228 -0.024730 -0.033556 -0.021070 -0.009628\n",
       "25 -0.060019  0.028806 -0.033591  0.038877 -0.030129\n",
       "26  0.016830 -0.024295  0.010075 -0.019613 -0.034138\n",
       "27 -0.038189 -0.002290  0.008420 -0.051550 -0.035685\n",
       "28  0.023648 -0.022413 -0.013838 -0.036173 -0.029122\n",
       "29 -0.105895  0.012047 -0.004296 -0.045851 -0.040868\n",
       "30 -0.047441  0.000033 -0.008697 -0.042641 -0.032110\n",
       "31  0.187534 -0.022869  0.013618 -0.092517 -0.024474\n",
       "32  0.146407 -0.068205 -0.003919 -0.098227 -0.033467\n",
       "33  0.195055 -0.024977  0.024834 -0.086974 -0.021873\n",
       "34  0.159787  0.002144  0.018705 -0.099364 -0.022671\n",
       "35 -0.081573 -0.017168 -0.027075  0.013575  0.015423\n",
       "36 -0.015318  0.059270  0.044154 -0.072180 -0.021116\n",
       "37 -0.106706  0.100428 -0.038002 -0.002219  0.026249\n",
       "38  0.139389  0.065463 -0.095523  0.007187  0.031572\n",
       "39 -0.055542  0.077330 -0.067287 -0.004627  0.023319\n",
       "40 -0.446575  0.068214  0.044731  0.026488  0.007700\n",
       "41 -0.227192  0.036635  0.025081  0.050707  0.001265\n",
       "42 -0.092009  0.134978  0.019401  0.034867  0.025334\n",
       "43  0.117264  0.081724  0.017791 -0.071819  0.027142\n",
       "44 -0.237260  0.018575 -0.018433  0.017841 -0.032216\n",
       "45 -0.223863 -0.017054 -0.133874 -0.050688  0.000184\n",
       "46 -0.214449  0.060487 -0.128651 -0.063840  0.024707\n",
       "47 -0.038774 -0.028185 -0.161677 -0.015499  0.026029\n",
       "48 -0.246086  0.037270 -0.124576 -0.059362  0.022400\n",
       "49 -0.299978 -0.020337 -0.138278 -0.058612  0.016963\n",
       "50 -0.090237 -0.132572  0.033165  0.056402  0.019897\n",
       "51 -0.258698 -0.035266  0.062520  0.004572  0.046272\n",
       "52 -0.199072 -0.130261  0.052066  0.061786  0.018574\n",
       "53  0.188517 -0.226176  0.078105 -0.018149  0.011294\n",
       "54  0.001480 -0.121921  0.138903 -0.004198  0.045438\n",
       "55  0.034911  0.024347  0.109181 -0.064924  0.066777\n",
       "56  0.028317 -0.274534 -0.001543  0.039919 -0.002510\n",
       "57 -0.143540 -0.135706  0.048483  0.000467  0.016535\n",
       "58 -0.307520 -0.151975 -0.017598  0.051528  0.009738\n",
       "59 -0.098318 -0.168236  0.015503  0.001042 -0.006231"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get scores and store in numpy array\n",
    "scores = model.X_scores()\n",
    "\n",
    "# Get scores and store in pandas dataframe with row and column names\n",
    "scores_df = pd.DataFrame(model.X_scores())\n",
    "#scores_df.index = data_objNames\n",
    "scores_df.columns = ['PC{0}'.format(x+1) for x in range(model.X_scores().shape[1])]\n",
    "scores_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function X_scores in module hoggorm.pca:\n",
      "\n",
      "X_scores(self)\n",
      "    Returns array holding scores T. First column holds scores for\n",
      "    component 1, second column holds scores for component 2, etc.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(ho.nipalsPCA.X_scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60, 5)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Dimension of the scores\n",
    "np.shape(model.X_scores())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that the numpy array holds the scores for four components as required when computing the PCA model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "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>PC1</th>\n",
       "      <th>PC2</th>\n",
       "      <th>PC3</th>\n",
       "      <th>PC4</th>\n",
       "      <th>PC5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.010761</td>\n",
       "      <td>0.022410</td>\n",
       "      <td>0.033510</td>\n",
       "      <td>0.039027</td>\n",
       "      <td>0.041516</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.010313</td>\n",
       "      <td>0.021588</td>\n",
       "      <td>0.030888</td>\n",
       "      <td>0.040657</td>\n",
       "      <td>0.038927</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.011046</td>\n",
       "      <td>0.022215</td>\n",
       "      <td>0.029598</td>\n",
       "      <td>0.041633</td>\n",
       "      <td>0.035870</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.012475</td>\n",
       "      <td>0.024319</td>\n",
       "      <td>0.027347</td>\n",
       "      <td>0.045222</td>\n",
       "      <td>0.031199</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.013082</td>\n",
       "      <td>0.021474</td>\n",
       "      <td>0.025045</td>\n",
       "      <td>0.045259</td>\n",
       "      <td>0.035395</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.014159</td>\n",
       "      <td>0.022623</td>\n",
       "      <td>0.023366</td>\n",
       "      <td>0.045839</td>\n",
       "      <td>0.035860</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.013685</td>\n",
       "      <td>0.018651</td>\n",
       "      <td>0.022783</td>\n",
       "      <td>0.049866</td>\n",
       "      <td>0.043444</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.014221</td>\n",
       "      <td>0.022608</td>\n",
       "      <td>0.023914</td>\n",
       "      <td>0.044390</td>\n",
       "      <td>0.039649</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.013137</td>\n",
       "      <td>0.019569</td>\n",
       "      <td>0.029728</td>\n",
       "      <td>0.040631</td>\n",
       "      <td>0.033897</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.012153</td>\n",
       "      <td>0.020054</td>\n",
       "      <td>0.034402</td>\n",
       "      <td>0.030317</td>\n",
       "      <td>0.039549</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.011833</td>\n",
       "      <td>0.018964</td>\n",
       "      <td>0.038012</td>\n",
       "      <td>0.023652</td>\n",
       "      <td>0.033032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.011517</td>\n",
       "      <td>0.018122</td>\n",
       "      <td>0.042049</td>\n",
       "      <td>0.020911</td>\n",
       "      <td>0.034410</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.011297</td>\n",
       "      <td>0.018341</td>\n",
       "      <td>0.043471</td>\n",
       "      <td>0.022028</td>\n",
       "      <td>0.036470</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.010584</td>\n",
       "      <td>0.017168</td>\n",
       "      <td>0.042978</td>\n",
       "      <td>0.022732</td>\n",
       "      <td>0.035776</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.010523</td>\n",
       "      <td>0.018850</td>\n",
       "      <td>0.041188</td>\n",
       "      <td>0.024057</td>\n",
       "      <td>0.033013</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.010191</td>\n",
       "      <td>0.020333</td>\n",
       "      <td>0.038235</td>\n",
       "      <td>0.021397</td>\n",
       "      <td>0.031560</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.009702</td>\n",
       "      <td>0.019763</td>\n",
       "      <td>0.038111</td>\n",
       "      <td>0.022951</td>\n",
       "      <td>0.031664</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.009874</td>\n",
       "      <td>0.019663</td>\n",
       "      <td>0.037252</td>\n",
       "      <td>0.024125</td>\n",
       "      <td>0.033766</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.009604</td>\n",
       "      <td>0.020898</td>\n",
       "      <td>0.036368</td>\n",
       "      <td>0.025869</td>\n",
       "      <td>0.029849</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.009308</td>\n",
       "      <td>0.020849</td>\n",
       "      <td>0.033899</td>\n",
       "      <td>0.027340</td>\n",
       "      <td>0.031473</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.009309</td>\n",
       "      <td>0.021116</td>\n",
       "      <td>0.033105</td>\n",
       "      <td>0.027756</td>\n",
       "      <td>0.032123</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>0.009072</td>\n",
       "      <td>0.021643</td>\n",
       "      <td>0.032641</td>\n",
       "      <td>0.029110</td>\n",
       "      <td>0.031637</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0.008492</td>\n",
       "      <td>0.020763</td>\n",
       "      <td>0.032456</td>\n",
       "      <td>0.031100</td>\n",
       "      <td>0.030221</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0.008263</td>\n",
       "      <td>0.022119</td>\n",
       "      <td>0.032671</td>\n",
       "      <td>0.031071</td>\n",
       "      <td>0.030439</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0.008224</td>\n",
       "      <td>0.022728</td>\n",
       "      <td>0.033646</td>\n",
       "      <td>0.033244</td>\n",
       "      <td>0.028952</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0.008109</td>\n",
       "      <td>0.022043</td>\n",
       "      <td>0.032851</td>\n",
       "      <td>0.032624</td>\n",
       "      <td>0.029149</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0.007509</td>\n",
       "      <td>0.021407</td>\n",
       "      <td>0.031774</td>\n",
       "      <td>0.032708</td>\n",
       "      <td>0.032481</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>0.007734</td>\n",
       "      <td>0.023586</td>\n",
       "      <td>0.031442</td>\n",
       "      <td>0.030132</td>\n",
       "      <td>0.030561</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>0.007575</td>\n",
       "      <td>0.023376</td>\n",
       "      <td>0.031838</td>\n",
       "      <td>0.031354</td>\n",
       "      <td>0.027900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>0.007508</td>\n",
       "      <td>0.023528</td>\n",
       "      <td>0.031659</td>\n",
       "      <td>0.033006</td>\n",
       "      <td>0.029653</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>371</th>\n",
       "      <td>-0.058063</td>\n",
       "      <td>0.030676</td>\n",
       "      <td>0.122583</td>\n",
       "      <td>-0.059704</td>\n",
       "      <td>-0.020427</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>372</th>\n",
       "      <td>-0.071378</td>\n",
       "      <td>0.032703</td>\n",
       "      <td>0.101851</td>\n",
       "      <td>-0.039050</td>\n",
       "      <td>-0.010061</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>373</th>\n",
       "      <td>-0.079272</td>\n",
       "      <td>0.036961</td>\n",
       "      <td>0.090956</td>\n",
       "      <td>-0.021982</td>\n",
       "      <td>-0.004134</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>374</th>\n",
       "      <td>-0.083489</td>\n",
       "      <td>0.040491</td>\n",
       "      <td>0.079749</td>\n",
       "      <td>-0.015572</td>\n",
       "      <td>-0.022317</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>375</th>\n",
       "      <td>-0.088267</td>\n",
       "      <td>0.042514</td>\n",
       "      <td>0.076098</td>\n",
       "      <td>-0.014075</td>\n",
       "      <td>-0.023332</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>376</th>\n",
       "      <td>-0.091112</td>\n",
       "      <td>0.040744</td>\n",
       "      <td>0.082183</td>\n",
       "      <td>-0.014404</td>\n",
       "      <td>-0.035643</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>377</th>\n",
       "      <td>-0.099531</td>\n",
       "      <td>0.043604</td>\n",
       "      <td>0.079853</td>\n",
       "      <td>-0.013647</td>\n",
       "      <td>-0.034683</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>378</th>\n",
       "      <td>-0.115351</td>\n",
       "      <td>0.044113</td>\n",
       "      <td>0.084350</td>\n",
       "      <td>-0.004084</td>\n",
       "      <td>-0.029785</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>379</th>\n",
       "      <td>-0.136418</td>\n",
       "      <td>0.040739</td>\n",
       "      <td>0.076814</td>\n",
       "      <td>-0.012732</td>\n",
       "      <td>-0.006682</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>380</th>\n",
       "      <td>-0.157427</td>\n",
       "      <td>0.034603</td>\n",
       "      <td>0.087621</td>\n",
       "      <td>0.010666</td>\n",
       "      <td>-0.031447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>381</th>\n",
       "      <td>-0.181087</td>\n",
       "      <td>0.037014</td>\n",
       "      <td>0.090378</td>\n",
       "      <td>0.033724</td>\n",
       "      <td>-0.038384</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>382</th>\n",
       "      <td>-0.217112</td>\n",
       "      <td>0.033769</td>\n",
       "      <td>0.080569</td>\n",
       "      <td>0.047116</td>\n",
       "      <td>-0.018230</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>383</th>\n",
       "      <td>-0.239899</td>\n",
       "      <td>0.039866</td>\n",
       "      <td>0.053926</td>\n",
       "      <td>0.040353</td>\n",
       "      <td>0.025269</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>384</th>\n",
       "      <td>-0.255085</td>\n",
       "      <td>0.032248</td>\n",
       "      <td>0.066375</td>\n",
       "      <td>0.057970</td>\n",
       "      <td>0.047916</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>385</th>\n",
       "      <td>-0.259048</td>\n",
       "      <td>0.040755</td>\n",
       "      <td>0.026546</td>\n",
       "      <td>0.025177</td>\n",
       "      <td>0.030153</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>386</th>\n",
       "      <td>-0.244414</td>\n",
       "      <td>0.039376</td>\n",
       "      <td>0.070818</td>\n",
       "      <td>0.050437</td>\n",
       "      <td>-0.006634</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>387</th>\n",
       "      <td>-0.237757</td>\n",
       "      <td>0.033854</td>\n",
       "      <td>0.096441</td>\n",
       "      <td>0.055773</td>\n",
       "      <td>-0.043270</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>388</th>\n",
       "      <td>-0.214056</td>\n",
       "      <td>0.048676</td>\n",
       "      <td>0.037215</td>\n",
       "      <td>-0.014064</td>\n",
       "      <td>-0.016176</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>389</th>\n",
       "      <td>-0.184058</td>\n",
       "      <td>0.051850</td>\n",
       "      <td>0.063721</td>\n",
       "      <td>-0.012295</td>\n",
       "      <td>0.023153</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>390</th>\n",
       "      <td>-0.158723</td>\n",
       "      <td>0.071630</td>\n",
       "      <td>0.057600</td>\n",
       "      <td>-0.012336</td>\n",
       "      <td>0.081500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>391</th>\n",
       "      <td>-0.126247</td>\n",
       "      <td>0.095758</td>\n",
       "      <td>0.043974</td>\n",
       "      <td>-0.013859</td>\n",
       "      <td>-0.117570</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>392</th>\n",
       "      <td>-0.109979</td>\n",
       "      <td>0.085793</td>\n",
       "      <td>-0.016974</td>\n",
       "      <td>-0.042322</td>\n",
       "      <td>0.178112</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>393</th>\n",
       "      <td>-0.097485</td>\n",
       "      <td>0.115826</td>\n",
       "      <td>-0.061785</td>\n",
       "      <td>-0.069528</td>\n",
       "      <td>0.149942</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>394</th>\n",
       "      <td>-0.061525</td>\n",
       "      <td>0.211030</td>\n",
       "      <td>-0.041989</td>\n",
       "      <td>-0.063295</td>\n",
       "      <td>0.034113</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>395</th>\n",
       "      <td>-0.023988</td>\n",
       "      <td>0.357850</td>\n",
       "      <td>-0.151683</td>\n",
       "      <td>-0.088816</td>\n",
       "      <td>-0.309900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>396</th>\n",
       "      <td>0.004908</td>\n",
       "      <td>0.339741</td>\n",
       "      <td>-0.200986</td>\n",
       "      <td>-0.152534</td>\n",
       "      <td>-0.588274</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>397</th>\n",
       "      <td>-0.041207</td>\n",
       "      <td>0.276329</td>\n",
       "      <td>-0.281156</td>\n",
       "      <td>-0.198780</td>\n",
       "      <td>0.535838</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>398</th>\n",
       "      <td>-0.026630</td>\n",
       "      <td>0.231176</td>\n",
       "      <td>-0.241345</td>\n",
       "      <td>-0.202683</td>\n",
       "      <td>0.170423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>399</th>\n",
       "      <td>-0.000669</td>\n",
       "      <td>0.277759</td>\n",
       "      <td>-0.075110</td>\n",
       "      <td>-0.144923</td>\n",
       "      <td>0.043571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>400</th>\n",
       "      <td>-0.010330</td>\n",
       "      <td>0.276600</td>\n",
       "      <td>-0.167326</td>\n",
       "      <td>-0.150471</td>\n",
       "      <td>0.167772</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>401 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "          PC1       PC2       PC3       PC4       PC5\n",
       "0    0.010761  0.022410  0.033510  0.039027  0.041516\n",
       "1    0.010313  0.021588  0.030888  0.040657  0.038927\n",
       "2    0.011046  0.022215  0.029598  0.041633  0.035870\n",
       "3    0.012475  0.024319  0.027347  0.045222  0.031199\n",
       "4    0.013082  0.021474  0.025045  0.045259  0.035395\n",
       "5    0.014159  0.022623  0.023366  0.045839  0.035860\n",
       "6    0.013685  0.018651  0.022783  0.049866  0.043444\n",
       "7    0.014221  0.022608  0.023914  0.044390  0.039649\n",
       "8    0.013137  0.019569  0.029728  0.040631  0.033897\n",
       "9    0.012153  0.020054  0.034402  0.030317  0.039549\n",
       "10   0.011833  0.018964  0.038012  0.023652  0.033032\n",
       "11   0.011517  0.018122  0.042049  0.020911  0.034410\n",
       "12   0.011297  0.018341  0.043471  0.022028  0.036470\n",
       "13   0.010584  0.017168  0.042978  0.022732  0.035776\n",
       "14   0.010523  0.018850  0.041188  0.024057  0.033013\n",
       "15   0.010191  0.020333  0.038235  0.021397  0.031560\n",
       "16   0.009702  0.019763  0.038111  0.022951  0.031664\n",
       "17   0.009874  0.019663  0.037252  0.024125  0.033766\n",
       "18   0.009604  0.020898  0.036368  0.025869  0.029849\n",
       "19   0.009308  0.020849  0.033899  0.027340  0.031473\n",
       "20   0.009309  0.021116  0.033105  0.027756  0.032123\n",
       "21   0.009072  0.021643  0.032641  0.029110  0.031637\n",
       "22   0.008492  0.020763  0.032456  0.031100  0.030221\n",
       "23   0.008263  0.022119  0.032671  0.031071  0.030439\n",
       "24   0.008224  0.022728  0.033646  0.033244  0.028952\n",
       "25   0.008109  0.022043  0.032851  0.032624  0.029149\n",
       "26   0.007509  0.021407  0.031774  0.032708  0.032481\n",
       "27   0.007734  0.023586  0.031442  0.030132  0.030561\n",
       "28   0.007575  0.023376  0.031838  0.031354  0.027900\n",
       "29   0.007508  0.023528  0.031659  0.033006  0.029653\n",
       "..        ...       ...       ...       ...       ...\n",
       "371 -0.058063  0.030676  0.122583 -0.059704 -0.020427\n",
       "372 -0.071378  0.032703  0.101851 -0.039050 -0.010061\n",
       "373 -0.079272  0.036961  0.090956 -0.021982 -0.004134\n",
       "374 -0.083489  0.040491  0.079749 -0.015572 -0.022317\n",
       "375 -0.088267  0.042514  0.076098 -0.014075 -0.023332\n",
       "376 -0.091112  0.040744  0.082183 -0.014404 -0.035643\n",
       "377 -0.099531  0.043604  0.079853 -0.013647 -0.034683\n",
       "378 -0.115351  0.044113  0.084350 -0.004084 -0.029785\n",
       "379 -0.136418  0.040739  0.076814 -0.012732 -0.006682\n",
       "380 -0.157427  0.034603  0.087621  0.010666 -0.031447\n",
       "381 -0.181087  0.037014  0.090378  0.033724 -0.038384\n",
       "382 -0.217112  0.033769  0.080569  0.047116 -0.018230\n",
       "383 -0.239899  0.039866  0.053926  0.040353  0.025269\n",
       "384 -0.255085  0.032248  0.066375  0.057970  0.047916\n",
       "385 -0.259048  0.040755  0.026546  0.025177  0.030153\n",
       "386 -0.244414  0.039376  0.070818  0.050437 -0.006634\n",
       "387 -0.237757  0.033854  0.096441  0.055773 -0.043270\n",
       "388 -0.214056  0.048676  0.037215 -0.014064 -0.016176\n",
       "389 -0.184058  0.051850  0.063721 -0.012295  0.023153\n",
       "390 -0.158723  0.071630  0.057600 -0.012336  0.081500\n",
       "391 -0.126247  0.095758  0.043974 -0.013859 -0.117570\n",
       "392 -0.109979  0.085793 -0.016974 -0.042322  0.178112\n",
       "393 -0.097485  0.115826 -0.061785 -0.069528  0.149942\n",
       "394 -0.061525  0.211030 -0.041989 -0.063295  0.034113\n",
       "395 -0.023988  0.357850 -0.151683 -0.088816 -0.309900\n",
       "396  0.004908  0.339741 -0.200986 -0.152534 -0.588274\n",
       "397 -0.041207  0.276329 -0.281156 -0.198780  0.535838\n",
       "398 -0.026630  0.231176 -0.241345 -0.202683  0.170423\n",
       "399 -0.000669  0.277759 -0.075110 -0.144923  0.043571\n",
       "400 -0.010330  0.276600 -0.167326 -0.150471  0.167772\n",
       "\n",
       "[401 rows x 5 columns]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get loadings and store in numpy array\n",
    "loadings = model.X_loadings()\n",
    "\n",
    "# Get loadings and store in pandas dataframe with row and column names\n",
    "loadings_df = pd.DataFrame(model.X_loadings()) \n",
    "#loadings_df.index = data_varNames\n",
    "loadings_df.columns = ['PC{0}'.format(x+1) for x in range(model.X_loadings().shape[1])]\n",
    "loadings_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function X_loadings in module hoggorm.pca:\n",
      "\n",
      "X_loadings(self)\n",
      "    Returns array holding loadings P of array X. Rows represent variables\n",
      "    and columns represent components. First column holds loadings for\n",
      "    component 1, second column holds scores for component 2, etc.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(ho.nipalsPCA.X_loadings)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(401, 5)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.shape(model.X_loadings())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<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>PC1</th>\n",
       "      <th>PC2</th>\n",
       "      <th>PC3</th>\n",
       "      <th>PC4</th>\n",
       "      <th>PC5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.502996</td>\n",
       "      <td>0.414017</td>\n",
       "      <td>0.484784</td>\n",
       "      <td>0.459178</td>\n",
       "      <td>0.253604</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.496101</td>\n",
       "      <td>0.410447</td>\n",
       "      <td>0.459857</td>\n",
       "      <td>0.492293</td>\n",
       "      <td>0.244697</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.523029</td>\n",
       "      <td>0.415747</td>\n",
       "      <td>0.433729</td>\n",
       "      <td>0.496223</td>\n",
       "      <td>0.221940</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.565736</td>\n",
       "      <td>0.435909</td>\n",
       "      <td>0.383789</td>\n",
       "      <td>0.516251</td>\n",
       "      <td>0.184878</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.597914</td>\n",
       "      <td>0.387894</td>\n",
       "      <td>0.354216</td>\n",
       "      <td>0.520687</td>\n",
       "      <td>0.211384</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.623573</td>\n",
       "      <td>0.393795</td>\n",
       "      <td>0.318431</td>\n",
       "      <td>0.508199</td>\n",
       "      <td>0.206368</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.604709</td>\n",
       "      <td>0.325726</td>\n",
       "      <td>0.311509</td>\n",
       "      <td>0.554671</td>\n",
       "      <td>0.250854</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.620098</td>\n",
       "      <td>0.389628</td>\n",
       "      <td>0.322674</td>\n",
       "      <td>0.487237</td>\n",
       "      <td>0.225915</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.606568</td>\n",
       "      <td>0.357106</td>\n",
       "      <td>0.424805</td>\n",
       "      <td>0.472232</td>\n",
       "      <td>0.204521</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.579231</td>\n",
       "      <td>0.377743</td>\n",
       "      <td>0.507474</td>\n",
       "      <td>0.363661</td>\n",
       "      <td>0.246333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.576842</td>\n",
       "      <td>0.365359</td>\n",
       "      <td>0.573566</td>\n",
       "      <td>0.290162</td>\n",
       "      <td>0.210438</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.552626</td>\n",
       "      <td>0.343640</td>\n",
       "      <td>0.624518</td>\n",
       "      <td>0.252473</td>\n",
       "      <td>0.215777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.535494</td>\n",
       "      <td>0.343593</td>\n",
       "      <td>0.637835</td>\n",
       "      <td>0.262740</td>\n",
       "      <td>0.225938</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.518008</td>\n",
       "      <td>0.332057</td>\n",
       "      <td>0.651067</td>\n",
       "      <td>0.279943</td>\n",
       "      <td>0.228825</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.518668</td>\n",
       "      <td>0.367171</td>\n",
       "      <td>0.628353</td>\n",
       "      <td>0.298380</td>\n",
       "      <td>0.212636</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.517930</td>\n",
       "      <td>0.408403</td>\n",
       "      <td>0.601468</td>\n",
       "      <td>0.273651</td>\n",
       "      <td>0.209600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.500130</td>\n",
       "      <td>0.402618</td>\n",
       "      <td>0.608088</td>\n",
       "      <td>0.297722</td>\n",
       "      <td>0.213289</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.506369</td>\n",
       "      <td>0.398538</td>\n",
       "      <td>0.591331</td>\n",
       "      <td>0.311364</td>\n",
       "      <td>0.226290</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.493182</td>\n",
       "      <td>0.424145</td>\n",
       "      <td>0.578059</td>\n",
       "      <td>0.334334</td>\n",
       "      <td>0.200292</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.490109</td>\n",
       "      <td>0.433886</td>\n",
       "      <td>0.552472</td>\n",
       "      <td>0.362323</td>\n",
       "      <td>0.216554</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0.490712</td>\n",
       "      <td>0.439904</td>\n",
       "      <td>0.540091</td>\n",
       "      <td>0.368217</td>\n",
       "      <td>0.221253</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>0.478438</td>\n",
       "      <td>0.451142</td>\n",
       "      <td>0.532813</td>\n",
       "      <td>0.386408</td>\n",
       "      <td>0.218022</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0.456395</td>\n",
       "      <td>0.440996</td>\n",
       "      <td>0.539835</td>\n",
       "      <td>0.420670</td>\n",
       "      <td>0.212207</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0.438455</td>\n",
       "      <td>0.463896</td>\n",
       "      <td>0.536575</td>\n",
       "      <td>0.414985</td>\n",
       "      <td>0.211049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0.428142</td>\n",
       "      <td>0.467638</td>\n",
       "      <td>0.542115</td>\n",
       "      <td>0.435602</td>\n",
       "      <td>0.196922</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0.431751</td>\n",
       "      <td>0.463845</td>\n",
       "      <td>0.541333</td>\n",
       "      <td>0.437189</td>\n",
       "      <td>0.202773</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0.410530</td>\n",
       "      <td>0.462567</td>\n",
       "      <td>0.537649</td>\n",
       "      <td>0.450087</td>\n",
       "      <td>0.232037</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>0.417684</td>\n",
       "      <td>0.503451</td>\n",
       "      <td>0.525544</td>\n",
       "      <td>0.409582</td>\n",
       "      <td>0.215652</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>0.409257</td>\n",
       "      <td>0.499140</td>\n",
       "      <td>0.532361</td>\n",
       "      <td>0.426353</td>\n",
       "      <td>0.196923</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>0.403647</td>\n",
       "      <td>0.499941</td>\n",
       "      <td>0.526789</td>\n",
       "      <td>0.446636</td>\n",
       "      <td>0.208295</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>371</th>\n",
       "      <td>-0.795561</td>\n",
       "      <td>0.166091</td>\n",
       "      <td>0.519969</td>\n",
       "      <td>-0.206051</td>\n",
       "      <td>-0.036569</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>372</th>\n",
       "      <td>-0.888902</td>\n",
       "      <td>0.160951</td>\n",
       "      <td>0.392666</td>\n",
       "      <td>-0.122511</td>\n",
       "      <td>-0.016377</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>373</th>\n",
       "      <td>-0.920237</td>\n",
       "      <td>0.169575</td>\n",
       "      <td>0.326862</td>\n",
       "      <td>-0.064308</td>\n",
       "      <td>-0.006285</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>374</th>\n",
       "      <td>-0.936794</td>\n",
       "      <td>0.179564</td>\n",
       "      <td>0.277001</td>\n",
       "      <td>-0.044038</td>\n",
       "      <td>-0.032744</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>375</th>\n",
       "      <td>-0.945323</td>\n",
       "      <td>0.179959</td>\n",
       "      <td>0.252285</td>\n",
       "      <td>-0.037996</td>\n",
       "      <td>-0.032672</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>376</th>\n",
       "      <td>-0.943833</td>\n",
       "      <td>0.166815</td>\n",
       "      <td>0.263540</td>\n",
       "      <td>-0.037608</td>\n",
       "      <td>-0.048271</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>377</th>\n",
       "      <td>-0.951827</td>\n",
       "      <td>0.164811</td>\n",
       "      <td>0.236390</td>\n",
       "      <td>-0.032897</td>\n",
       "      <td>-0.043360</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>378</th>\n",
       "      <td>-0.961086</td>\n",
       "      <td>0.145267</td>\n",
       "      <td>0.217549</td>\n",
       "      <td>-0.008602</td>\n",
       "      <td>-0.032449</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>379</th>\n",
       "      <td>-0.973893</td>\n",
       "      <td>0.114953</td>\n",
       "      <td>0.169754</td>\n",
       "      <td>-0.022915</td>\n",
       "      <td>-0.006242</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>380</th>\n",
       "      <td>-0.979956</td>\n",
       "      <td>0.085133</td>\n",
       "      <td>0.168836</td>\n",
       "      <td>0.016689</td>\n",
       "      <td>-0.025601</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>381</th>\n",
       "      <td>-0.981971</td>\n",
       "      <td>0.079331</td>\n",
       "      <td>0.151701</td>\n",
       "      <td>0.046017</td>\n",
       "      <td>-0.027225</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>382</th>\n",
       "      <td>-0.988198</td>\n",
       "      <td>0.060752</td>\n",
       "      <td>0.113509</td>\n",
       "      <td>0.053973</td>\n",
       "      <td>-0.010865</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>383</th>\n",
       "      <td>-0.992219</td>\n",
       "      <td>0.065178</td>\n",
       "      <td>0.069031</td>\n",
       "      <td>0.042005</td>\n",
       "      <td>0.013643</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>384</th>\n",
       "      <td>-0.990363</td>\n",
       "      <td>0.049491</td>\n",
       "      <td>0.079761</td>\n",
       "      <td>0.056646</td>\n",
       "      <td>0.024302</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>385</th>\n",
       "      <td>-0.994487</td>\n",
       "      <td>0.061851</td>\n",
       "      <td>0.031538</td>\n",
       "      <td>0.024327</td>\n",
       "      <td>0.015129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>386</th>\n",
       "      <td>-0.988232</td>\n",
       "      <td>0.062932</td>\n",
       "      <td>0.088625</td>\n",
       "      <td>0.051328</td>\n",
       "      <td>-0.003503</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>387</th>\n",
       "      <td>-0.981587</td>\n",
       "      <td>0.055244</td>\n",
       "      <td>0.123242</td>\n",
       "      <td>0.057954</td>\n",
       "      <td>-0.023337</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>388</th>\n",
       "      <td>-0.983149</td>\n",
       "      <td>0.088376</td>\n",
       "      <td>0.052908</td>\n",
       "      <td>-0.016270</td>\n",
       "      <td>-0.009682</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>389</th>\n",
       "      <td>-0.972580</td>\n",
       "      <td>0.108297</td>\n",
       "      <td>0.104228</td>\n",
       "      <td>-0.016378</td>\n",
       "      <td>0.016043</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>390</th>\n",
       "      <td>-0.946047</td>\n",
       "      <td>0.168759</td>\n",
       "      <td>0.106265</td>\n",
       "      <td>-0.018539</td>\n",
       "      <td>0.063580</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>391</th>\n",
       "      <td>-0.907288</td>\n",
       "      <td>0.272021</td>\n",
       "      <td>0.097806</td>\n",
       "      <td>-0.025074</td>\n",
       "      <td>-0.110380</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>392</th>\n",
       "      <td>-0.889084</td>\n",
       "      <td>0.274163</td>\n",
       "      <td>-0.042494</td>\n",
       "      <td>-0.086160</td>\n",
       "      <td>0.188295</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>393</th>\n",
       "      <td>-0.820403</td>\n",
       "      <td>0.385326</td>\n",
       "      <td>-0.160980</td>\n",
       "      <td>-0.147310</td>\n",
       "      <td>0.165055</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>394</th>\n",
       "      <td>-0.496718</td>\n",
       "      <td>0.673463</td>\n",
       "      <td>-0.104993</td>\n",
       "      <td>-0.128639</td>\n",
       "      <td>0.036109</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>395</th>\n",
       "      <td>-0.141905</td>\n",
       "      <td>0.836769</td>\n",
       "      <td>-0.277835</td>\n",
       "      <td>-0.132183</td>\n",
       "      <td>-0.239548</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>396</th>\n",
       "      <td>0.027020</td>\n",
       "      <td>0.739548</td>\n",
       "      <td>-0.342668</td>\n",
       "      <td>-0.211353</td>\n",
       "      <td>-0.423593</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>397</th>\n",
       "      <td>-0.237065</td>\n",
       "      <td>0.628425</td>\n",
       "      <td>-0.500731</td>\n",
       "      <td>-0.287884</td>\n",
       "      <td>0.402993</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>398</th>\n",
       "      <td>-0.184102</td>\n",
       "      <td>0.631767</td>\n",
       "      <td>-0.516502</td>\n",
       "      <td>-0.352696</td>\n",
       "      <td>0.154094</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>399</th>\n",
       "      <td>-0.005140</td>\n",
       "      <td>0.841910</td>\n",
       "      <td>-0.178337</td>\n",
       "      <td>-0.279764</td>\n",
       "      <td>0.043640</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>400</th>\n",
       "      <td>-0.076794</td>\n",
       "      <td>0.812752</td>\n",
       "      <td>-0.385076</td>\n",
       "      <td>-0.281555</td>\n",
       "      <td>0.163119</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>401 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "          PC1       PC2       PC3       PC4       PC5\n",
       "0    0.502996  0.414017  0.484784  0.459178  0.253604\n",
       "1    0.496101  0.410447  0.459857  0.492293  0.244697\n",
       "2    0.523029  0.415747  0.433729  0.496223  0.221940\n",
       "3    0.565736  0.435909  0.383789  0.516251  0.184878\n",
       "4    0.597914  0.387894  0.354216  0.520687  0.211384\n",
       "5    0.623573  0.393795  0.318431  0.508199  0.206368\n",
       "6    0.604709  0.325726  0.311509  0.554671  0.250854\n",
       "7    0.620098  0.389628  0.322674  0.487237  0.225915\n",
       "8    0.606568  0.357106  0.424805  0.472232  0.204521\n",
       "9    0.579231  0.377743  0.507474  0.363661  0.246333\n",
       "10   0.576842  0.365359  0.573566  0.290162  0.210438\n",
       "11   0.552626  0.343640  0.624518  0.252473  0.215777\n",
       "12   0.535494  0.343593  0.637835  0.262740  0.225938\n",
       "13   0.518008  0.332057  0.651067  0.279943  0.228825\n",
       "14   0.518668  0.367171  0.628353  0.298380  0.212636\n",
       "15   0.517930  0.408403  0.601468  0.273651  0.209600\n",
       "16   0.500130  0.402618  0.608088  0.297722  0.213289\n",
       "17   0.506369  0.398538  0.591331  0.311364  0.226290\n",
       "18   0.493182  0.424145  0.578059  0.334334  0.200292\n",
       "19   0.490109  0.433886  0.552472  0.362323  0.216554\n",
       "20   0.490712  0.439904  0.540091  0.368217  0.221253\n",
       "21   0.478438  0.451142  0.532813  0.386408  0.218022\n",
       "22   0.456395  0.440996  0.539835  0.420670  0.212207\n",
       "23   0.438455  0.463896  0.536575  0.414985  0.211049\n",
       "24   0.428142  0.467638  0.542115  0.435602  0.196922\n",
       "25   0.431751  0.463845  0.541333  0.437189  0.202773\n",
       "26   0.410530  0.462567  0.537649  0.450087  0.232037\n",
       "27   0.417684  0.503451  0.525544  0.409582  0.215652\n",
       "28   0.409257  0.499140  0.532361  0.426353  0.196923\n",
       "29   0.403647  0.499941  0.526789  0.446636  0.208295\n",
       "..        ...       ...       ...       ...       ...\n",
       "371 -0.795561  0.166091  0.519969 -0.206051 -0.036569\n",
       "372 -0.888902  0.160951  0.392666 -0.122511 -0.016377\n",
       "373 -0.920237  0.169575  0.326862 -0.064308 -0.006285\n",
       "374 -0.936794  0.179564  0.277001 -0.044038 -0.032744\n",
       "375 -0.945323  0.179959  0.252285 -0.037996 -0.032672\n",
       "376 -0.943833  0.166815  0.263540 -0.037608 -0.048271\n",
       "377 -0.951827  0.164811  0.236390 -0.032897 -0.043360\n",
       "378 -0.961086  0.145267  0.217549 -0.008602 -0.032449\n",
       "379 -0.973893  0.114953  0.169754 -0.022915 -0.006242\n",
       "380 -0.979956  0.085133  0.168836  0.016689 -0.025601\n",
       "381 -0.981971  0.079331  0.151701  0.046017 -0.027225\n",
       "382 -0.988198  0.060752  0.113509  0.053973 -0.010865\n",
       "383 -0.992219  0.065178  0.069031  0.042005  0.013643\n",
       "384 -0.990363  0.049491  0.079761  0.056646  0.024302\n",
       "385 -0.994487  0.061851  0.031538  0.024327  0.015129\n",
       "386 -0.988232  0.062932  0.088625  0.051328 -0.003503\n",
       "387 -0.981587  0.055244  0.123242  0.057954 -0.023337\n",
       "388 -0.983149  0.088376  0.052908 -0.016270 -0.009682\n",
       "389 -0.972580  0.108297  0.104228 -0.016378  0.016043\n",
       "390 -0.946047  0.168759  0.106265 -0.018539  0.063580\n",
       "391 -0.907288  0.272021  0.097806 -0.025074 -0.110380\n",
       "392 -0.889084  0.274163 -0.042494 -0.086160  0.188295\n",
       "393 -0.820403  0.385326 -0.160980 -0.147310  0.165055\n",
       "394 -0.496718  0.673463 -0.104993 -0.128639  0.036109\n",
       "395 -0.141905  0.836769 -0.277835 -0.132183 -0.239548\n",
       "396  0.027020  0.739548 -0.342668 -0.211353 -0.423593\n",
       "397 -0.237065  0.628425 -0.500731 -0.287884  0.402993\n",
       "398 -0.184102  0.631767 -0.516502 -0.352696  0.154094\n",
       "399 -0.005140  0.841910 -0.178337 -0.279764  0.043640\n",
       "400 -0.076794  0.812752 -0.385076 -0.281555  0.163119\n",
       "\n",
       "[401 rows x 5 columns]"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get loadings and store in numpy array\n",
    "loadings = model.X_corrLoadings()\n",
    "\n",
    "# Get loadings and store in pandas dataframe with row and column names\n",
    "loadings_df = pd.DataFrame(model.X_corrLoadings()) \n",
    "#loadings_df.index = data_varNames\n",
    "loadings_df.columns = ['PC{0}'.format(x+1) for x in range(model.X_corrLoadings().shape[1])]\n",
    "loadings_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function X_corrLoadings in module hoggorm.pca:\n",
      "\n",
      "X_corrLoadings(self)\n",
      "    Returns array holding correlation loadings of array X. First column\n",
      "    holds correlation loadings for component 1, second column holds\n",
      "    correlation loadings for component 2, etc.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(ho.nipalsPCA.X_corrLoadings)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>calibrated explained variance</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>PC1</th>\n",
       "      <td>72.565138</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC2</th>\n",
       "      <td>11.338019</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC3</th>\n",
       "      <td>6.954257</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC4</th>\n",
       "      <td>4.599826</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC5</th>\n",
       "      <td>1.240297</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     calibrated explained variance\n",
       "PC1                      72.565138\n",
       "PC2                      11.338019\n",
       "PC3                       6.954257\n",
       "PC4                       4.599826\n",
       "PC5                       1.240297"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get calibrated explained variance of each component\n",
    "calExplVar = model.X_calExplVar()\n",
    "\n",
    "# Get calibrated explained variance and store in pandas dataframe with row and column names\n",
    "calExplVar_df = pd.DataFrame(model.X_calExplVar())\n",
    "calExplVar_df.columns = ['calibrated explained variance']\n",
    "calExplVar_df.index = ['PC{0}'.format(x+1) for x in range(model.X_loadings().shape[1])]\n",
    "calExplVar_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function X_calExplVar in module hoggorm.pca:\n",
      "\n",
      "X_calExplVar(self)\n",
      "    Returns a list holding the calibrated explained variance for\n",
      "    each component. First number in list is for component 1, second number\n",
      "    for component 2, etc.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(ho.nipalsPCA.X_calExplVar)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>cumulative calibrated explained variance</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>PC0</th>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC1</th>\n",
       "      <td>72.565138</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC2</th>\n",
       "      <td>83.903157</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC3</th>\n",
       "      <td>90.857413</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC4</th>\n",
       "      <td>95.457240</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC5</th>\n",
       "      <td>96.697537</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     cumulative calibrated explained variance\n",
       "PC0                                  0.000000\n",
       "PC1                                 72.565138\n",
       "PC2                                 83.903157\n",
       "PC3                                 90.857413\n",
       "PC4                                 95.457240\n",
       "PC5                                 96.697537"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get cumulative calibrated explained variance\n",
    "cumCalExplVar = model.X_cumCalExplVar()\n",
    "\n",
    "# Get cumulative calibrated explained variance and store in pandas dataframe with row and column names\n",
    "cumCalExplVar_df = pd.DataFrame(model.X_cumCalExplVar())\n",
    "cumCalExplVar_df.columns = ['cumulative calibrated explained variance']\n",
    "cumCalExplVar_df.index = ['PC{0}'.format(x) for x in range(model.X_loadings().shape[1] + 1)]\n",
    "cumCalExplVar_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function X_cumCalExplVar in module hoggorm.pca:\n",
      "\n",
      "X_cumCalExplVar(self)\n",
      "    Returns a list holding the cumulative validated explained variance\n",
      "    for array X after each component. First number represents zero\n",
      "    components, second number represents component 1, etc.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(ho.nipalsPCA.X_cumCalExplVar)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>391</th>\n",
       "      <th>392</th>\n",
       "      <th>393</th>\n",
       "      <th>394</th>\n",
       "      <th>395</th>\n",
       "      <th>396</th>\n",
       "      <th>397</th>\n",
       "      <th>398</th>\n",
       "      <th>399</th>\n",
       "      <th>400</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>PC0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC1</th>\n",
       "      <td>25.300542</td>\n",
       "      <td>24.611602</td>\n",
       "      <td>27.355922</td>\n",
       "      <td>32.005666</td>\n",
       "      <td>35.750065</td>\n",
       "      <td>38.884360</td>\n",
       "      <td>36.567342</td>\n",
       "      <td>38.452109</td>\n",
       "      <td>36.792509</td>\n",
       "      <td>33.550817</td>\n",
       "      <td>...</td>\n",
       "      <td>82.317118</td>\n",
       "      <td>79.047055</td>\n",
       "      <td>67.306082</td>\n",
       "      <td>24.672910</td>\n",
       "      <td>2.013696</td>\n",
       "      <td>0.073010</td>\n",
       "      <td>5.619993</td>\n",
       "      <td>3.389344</td>\n",
       "      <td>0.002642</td>\n",
       "      <td>0.589727</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC2</th>\n",
       "      <td>42.441993</td>\n",
       "      <td>41.458724</td>\n",
       "      <td>44.640897</td>\n",
       "      <td>51.007847</td>\n",
       "      <td>50.796701</td>\n",
       "      <td>54.392295</td>\n",
       "      <td>47.177506</td>\n",
       "      <td>53.633605</td>\n",
       "      <td>49.545416</td>\n",
       "      <td>47.820232</td>\n",
       "      <td>...</td>\n",
       "      <td>89.716152</td>\n",
       "      <td>86.563084</td>\n",
       "      <td>82.153037</td>\n",
       "      <td>70.027533</td>\n",
       "      <td>72.031710</td>\n",
       "      <td>54.766212</td>\n",
       "      <td>45.111443</td>\n",
       "      <td>43.302068</td>\n",
       "      <td>70.883884</td>\n",
       "      <td>66.646222</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC3</th>\n",
       "      <td>65.948096</td>\n",
       "      <td>62.609792</td>\n",
       "      <td>63.457029</td>\n",
       "      <td>65.741002</td>\n",
       "      <td>63.346670</td>\n",
       "      <td>64.534962</td>\n",
       "      <td>56.883549</td>\n",
       "      <td>64.048268</td>\n",
       "      <td>67.594733</td>\n",
       "      <td>73.577576</td>\n",
       "      <td>...</td>\n",
       "      <td>90.673333</td>\n",
       "      <td>86.743400</td>\n",
       "      <td>84.743118</td>\n",
       "      <td>71.128313</td>\n",
       "      <td>79.745782</td>\n",
       "      <td>66.502726</td>\n",
       "      <td>70.177623</td>\n",
       "      <td>69.972282</td>\n",
       "      <td>74.060959</td>\n",
       "      <td>81.467589</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC4</th>\n",
       "      <td>87.040973</td>\n",
       "      <td>86.853587</td>\n",
       "      <td>88.088902</td>\n",
       "      <td>92.399968</td>\n",
       "      <td>90.465091</td>\n",
       "      <td>90.367660</td>\n",
       "      <td>87.656014</td>\n",
       "      <td>87.794167</td>\n",
       "      <td>89.902585</td>\n",
       "      <td>86.809442</td>\n",
       "      <td>...</td>\n",
       "      <td>90.736111</td>\n",
       "      <td>87.485897</td>\n",
       "      <td>86.914025</td>\n",
       "      <td>72.783629</td>\n",
       "      <td>81.494393</td>\n",
       "      <td>70.972463</td>\n",
       "      <td>78.470780</td>\n",
       "      <td>82.418617</td>\n",
       "      <td>81.889604</td>\n",
       "      <td>89.398996</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC5</th>\n",
       "      <td>93.476085</td>\n",
       "      <td>92.844979</td>\n",
       "      <td>93.018051</td>\n",
       "      <td>95.820907</td>\n",
       "      <td>94.936826</td>\n",
       "      <td>94.629706</td>\n",
       "      <td>93.953098</td>\n",
       "      <td>92.901335</td>\n",
       "      <td>94.088453</td>\n",
       "      <td>92.880195</td>\n",
       "      <td>...</td>\n",
       "      <td>91.954581</td>\n",
       "      <td>91.030901</td>\n",
       "      <td>89.637574</td>\n",
       "      <td>72.913872</td>\n",
       "      <td>87.233677</td>\n",
       "      <td>88.918380</td>\n",
       "      <td>94.707556</td>\n",
       "      <td>84.791428</td>\n",
       "      <td>82.079672</td>\n",
       "      <td>92.058344</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>6 rows × 401 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           0          1          2          3          4          5    \\\n",
       "PC0   0.000000   0.000000   0.000000   0.000000   0.000000   0.000000   \n",
       "PC1  25.300542  24.611602  27.355922  32.005666  35.750065  38.884360   \n",
       "PC2  42.441993  41.458724  44.640897  51.007847  50.796701  54.392295   \n",
       "PC3  65.948096  62.609792  63.457029  65.741002  63.346670  64.534962   \n",
       "PC4  87.040973  86.853587  88.088902  92.399968  90.465091  90.367660   \n",
       "PC5  93.476085  92.844979  93.018051  95.820907  94.936826  94.629706   \n",
       "\n",
       "           6          7          8          9    ...        391        392  \\\n",
       "PC0   0.000000   0.000000   0.000000   0.000000  ...   0.000000   0.000000   \n",
       "PC1  36.567342  38.452109  36.792509  33.550817  ...  82.317118  79.047055   \n",
       "PC2  47.177506  53.633605  49.545416  47.820232  ...  89.716152  86.563084   \n",
       "PC3  56.883549  64.048268  67.594733  73.577576  ...  90.673333  86.743400   \n",
       "PC4  87.656014  87.794167  89.902585  86.809442  ...  90.736111  87.485897   \n",
       "PC5  93.953098  92.901335  94.088453  92.880195  ...  91.954581  91.030901   \n",
       "\n",
       "           393        394        395        396        397        398  \\\n",
       "PC0   0.000000   0.000000   0.000000   0.000000   0.000000   0.000000   \n",
       "PC1  67.306082  24.672910   2.013696   0.073010   5.619993   3.389344   \n",
       "PC2  82.153037  70.027533  72.031710  54.766212  45.111443  43.302068   \n",
       "PC3  84.743118  71.128313  79.745782  66.502726  70.177623  69.972282   \n",
       "PC4  86.914025  72.783629  81.494393  70.972463  78.470780  82.418617   \n",
       "PC5  89.637574  72.913872  87.233677  88.918380  94.707556  84.791428   \n",
       "\n",
       "           399        400  \n",
       "PC0   0.000000   0.000000  \n",
       "PC1   0.002642   0.589727  \n",
       "PC2  70.883884  66.646222  \n",
       "PC3  74.060959  81.467589  \n",
       "PC4  81.889604  89.398996  \n",
       "PC5  82.079672  92.058344  \n",
       "\n",
       "[6 rows x 401 columns]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get cumulative calibrated explained variance for each variable\n",
    "cumCalExplVar_ind = model.X_cumCalExplVar_indVar()\n",
    "\n",
    "# Get cumulative calibrated explained variance for each variable and store in pandas dataframe with row and column names\n",
    "cumCalExplVar_ind_df = pd.DataFrame(model.X_cumCalExplVar_indVar()) \n",
    "#cumCalExplVar_ind_df.columns = data_varNames\n",
    "cumCalExplVar_ind_df.index = ['PC{0}'.format(x) for x in range(model.X_loadings().shape[1] + 1)]\n",
    "cumCalExplVar_ind_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function X_cumCalExplVar_indVar in module hoggorm.pca:\n",
      "\n",
      "X_cumCalExplVar_indVar(self)\n",
      "    Returns an array holding the cumulative calibrated explained variance\n",
      "    for each variable in X after each component. First row represents zero\n",
      "    components, second row represents one component, third row represents\n",
      "    two components, etc. Columns represent variables.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(ho.nipalsPCA.X_cumCalExplVar_indVar)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>391</th>\n",
       "      <th>392</th>\n",
       "      <th>393</th>\n",
       "      <th>394</th>\n",
       "      <th>395</th>\n",
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       "      <th>397</th>\n",
       "      <th>398</th>\n",
       "      <th>399</th>\n",
       "      <th>400</th>\n",
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       "      <th>0</th>\n",
       "      <td>-0.052611</td>\n",
       "      <td>-0.047228</td>\n",
       "      <td>-0.043363</td>\n",
       "      <td>-0.038934</td>\n",
       "      <td>-0.034474</td>\n",
       "      <td>-0.032126</td>\n",
       "      <td>-0.030556</td>\n",
       "      <td>-0.033291</td>\n",
       "      <td>-0.036478</td>\n",
       "      <td>-0.039515</td>\n",
       "      <td>...</td>\n",
       "      <td>1.204451</td>\n",
       "      <td>1.215202</td>\n",
       "      <td>1.236595</td>\n",
       "      <td>1.252604</td>\n",
       "      <td>1.262773</td>\n",
       "      <td>1.264311</td>\n",
       "      <td>1.231643</td>\n",
       "      <td>1.225628</td>\n",
       "      <td>1.219023</td>\n",
       "      <td>1.201453</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.046988</td>\n",
       "      <td>-0.041839</td>\n",
       "      <td>-0.037591</td>\n",
       "      <td>-0.032415</td>\n",
       "      <td>-0.027637</td>\n",
       "      <td>-0.024727</td>\n",
       "      <td>-0.023405</td>\n",
       "      <td>-0.025859</td>\n",
       "      <td>-0.029614</td>\n",
       "      <td>-0.033164</td>\n",
       "      <td>...</td>\n",
       "      <td>1.138479</td>\n",
       "      <td>1.157731</td>\n",
       "      <td>1.185653</td>\n",
       "      <td>1.220453</td>\n",
       "      <td>1.250238</td>\n",
       "      <td>1.266876</td>\n",
       "      <td>1.210109</td>\n",
       "      <td>1.211712</td>\n",
       "      <td>1.218673</td>\n",
       "      <td>1.196055</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.047993</td>\n",
       "      <td>-0.042802</td>\n",
       "      <td>-0.038623</td>\n",
       "      <td>-0.033580</td>\n",
       "      <td>-0.028859</td>\n",
       "      <td>-0.026049</td>\n",
       "      <td>-0.024683</td>\n",
       "      <td>-0.027187</td>\n",
       "      <td>-0.030840</td>\n",
       "      <td>-0.034299</td>\n",
       "      <td>...</td>\n",
       "      <td>1.150267</td>\n",
       "      <td>1.168000</td>\n",
       "      <td>1.194755</td>\n",
       "      <td>1.226198</td>\n",
       "      <td>1.252478</td>\n",
       "      <td>1.266418</td>\n",
       "      <td>1.213957</td>\n",
       "      <td>1.214199</td>\n",
       "      <td>1.218736</td>\n",
       "      <td>1.197020</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.048773</td>\n",
       "      <td>-0.043551</td>\n",
       "      <td>-0.039424</td>\n",
       "      <td>-0.034485</td>\n",
       "      <td>-0.029808</td>\n",
       "      <td>-0.027076</td>\n",
       "      <td>-0.025676</td>\n",
       "      <td>-0.028219</td>\n",
       "      <td>-0.031793</td>\n",
       "      <td>-0.035181</td>\n",
       "      <td>...</td>\n",
       "      <td>1.159429</td>\n",
       "      <td>1.175981</td>\n",
       "      <td>1.201830</td>\n",
       "      <td>1.230663</td>\n",
       "      <td>1.254219</td>\n",
       "      <td>1.266062</td>\n",
       "      <td>1.216947</td>\n",
       "      <td>1.216131</td>\n",
       "      <td>1.218784</td>\n",
       "      <td>1.197769</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.054796</td>\n",
       "      <td>-0.049323</td>\n",
       "      <td>-0.045606</td>\n",
       "      <td>-0.041467</td>\n",
       "      <td>-0.037130</td>\n",
       "      <td>-0.035001</td>\n",
       "      <td>-0.033336</td>\n",
       "      <td>-0.036178</td>\n",
       "      <td>-0.039146</td>\n",
       "      <td>-0.041983</td>\n",
       "      <td>...</td>\n",
       "      <td>1.230089</td>\n",
       "      <td>1.237536</td>\n",
       "      <td>1.256392</td>\n",
       "      <td>1.265098</td>\n",
       "      <td>1.267644</td>\n",
       "      <td>1.263315</td>\n",
       "      <td>1.240011</td>\n",
       "      <td>1.231036</td>\n",
       "      <td>1.219159</td>\n",
       "      <td>1.203551</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>-0.051650</td>\n",
       "      <td>-0.046307</td>\n",
       "      <td>-0.042377</td>\n",
       "      <td>-0.037819</td>\n",
       "      <td>-0.033305</td>\n",
       "      <td>-0.030861</td>\n",
       "      <td>-0.029334</td>\n",
       "      <td>-0.032020</td>\n",
       "      <td>-0.035305</td>\n",
       "      <td>-0.038430</td>\n",
       "      <td>...</td>\n",
       "      <td>1.193176</td>\n",
       "      <td>1.205379</td>\n",
       "      <td>1.227888</td>\n",
       "      <td>1.247109</td>\n",
       "      <td>1.260631</td>\n",
       "      <td>1.264750</td>\n",
       "      <td>1.227962</td>\n",
       "      <td>1.223250</td>\n",
       "      <td>1.218963</td>\n",
       "      <td>1.200531</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.054027</td>\n",
       "      <td>-0.048586</td>\n",
       "      <td>-0.044817</td>\n",
       "      <td>-0.040576</td>\n",
       "      <td>-0.036196</td>\n",
       "      <td>-0.033990</td>\n",
       "      <td>-0.032358</td>\n",
       "      <td>-0.035163</td>\n",
       "      <td>-0.038208</td>\n",
       "      <td>-0.041115</td>\n",
       "      <td>...</td>\n",
       "      <td>1.221071</td>\n",
       "      <td>1.229680</td>\n",
       "      <td>1.249428</td>\n",
       "      <td>1.260703</td>\n",
       "      <td>1.265931</td>\n",
       "      <td>1.263665</td>\n",
       "      <td>1.237067</td>\n",
       "      <td>1.229134</td>\n",
       "      <td>1.219111</td>\n",
       "      <td>1.202813</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>-0.050542</td>\n",
       "      <td>-0.045245</td>\n",
       "      <td>-0.041239</td>\n",
       "      <td>-0.036535</td>\n",
       "      <td>-0.031958</td>\n",
       "      <td>-0.029403</td>\n",
       "      <td>-0.027925</td>\n",
       "      <td>-0.030556</td>\n",
       "      <td>-0.033952</td>\n",
       "      <td>-0.037178</td>\n",
       "      <td>...</td>\n",
       "      <td>1.180173</td>\n",
       "      <td>1.194052</td>\n",
       "      <td>1.217848</td>\n",
       "      <td>1.240772</td>\n",
       "      <td>1.258160</td>\n",
       "      <td>1.265255</td>\n",
       "      <td>1.223718</td>\n",
       "      <td>1.220507</td>\n",
       "      <td>1.218894</td>\n",
       "      <td>1.199467</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-0.053169</td>\n",
       "      <td>-0.047763</td>\n",
       "      <td>-0.043936</td>\n",
       "      <td>-0.039581</td>\n",
       "      <td>-0.035152</td>\n",
       "      <td>-0.032860</td>\n",
       "      <td>-0.031266</td>\n",
       "      <td>-0.034028</td>\n",
       "      <td>-0.037160</td>\n",
       "      <td>-0.040146</td>\n",
       "      <td>...</td>\n",
       "      <td>1.211001</td>\n",
       "      <td>1.220908</td>\n",
       "      <td>1.241652</td>\n",
       "      <td>1.255795</td>\n",
       "      <td>1.264017</td>\n",
       "      <td>1.264057</td>\n",
       "      <td>1.233780</td>\n",
       "      <td>1.227010</td>\n",
       "      <td>1.219058</td>\n",
       "      <td>1.201989</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-0.054208</td>\n",
       "      <td>-0.048759</td>\n",
       "      <td>-0.045002</td>\n",
       "      <td>-0.040785</td>\n",
       "      <td>-0.036415</td>\n",
       "      <td>-0.034227</td>\n",
       "      <td>-0.032587</td>\n",
       "      <td>-0.035401</td>\n",
       "      <td>-0.038427</td>\n",
       "      <td>-0.041319</td>\n",
       "      <td>...</td>\n",
       "      <td>1.223184</td>\n",
       "      <td>1.231521</td>\n",
       "      <td>1.251060</td>\n",
       "      <td>1.261733</td>\n",
       "      <td>1.266332</td>\n",
       "      <td>1.263583</td>\n",
       "      <td>1.237757</td>\n",
       "      <td>1.229579</td>\n",
       "      <td>1.219122</td>\n",
       "      <td>1.202986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>-0.056381</td>\n",
       "      <td>-0.050842</td>\n",
       "      <td>-0.047234</td>\n",
       "      <td>-0.043305</td>\n",
       "      <td>-0.039058</td>\n",
       "      <td>-0.037087</td>\n",
       "      <td>-0.035352</td>\n",
       "      <td>-0.038274</td>\n",
       "      <td>-0.041081</td>\n",
       "      <td>-0.043774</td>\n",
       "      <td>...</td>\n",
       "      <td>1.248689</td>\n",
       "      <td>1.253740</td>\n",
       "      <td>1.270755</td>\n",
       "      <td>1.274162</td>\n",
       "      <td>1.271178</td>\n",
       "      <td>1.262591</td>\n",
       "      <td>1.246082</td>\n",
       "      <td>1.234959</td>\n",
       "      <td>1.219258</td>\n",
       "      <td>1.205073</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>-0.054451</td>\n",
       "      <td>-0.048992</td>\n",
       "      <td>-0.045252</td>\n",
       "      <td>-0.041067</td>\n",
       "      <td>-0.036711</td>\n",
       "      <td>-0.034547</td>\n",
       "      <td>-0.032896</td>\n",
       "      <td>-0.035722</td>\n",
       "      <td>-0.038724</td>\n",
       "      <td>-0.041593</td>\n",
       "      <td>...</td>\n",
       "      <td>1.226037</td>\n",
       "      <td>1.234007</td>\n",
       "      <td>1.253263</td>\n",
       "      <td>1.263123</td>\n",
       "      <td>1.266874</td>\n",
       "      <td>1.263472</td>\n",
       "      <td>1.238688</td>\n",
       "      <td>1.230181</td>\n",
       "      <td>1.219138</td>\n",
       "      <td>1.203220</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>-0.050807</td>\n",
       "      <td>-0.045499</td>\n",
       "      <td>-0.041511</td>\n",
       "      <td>-0.036842</td>\n",
       "      <td>-0.032280</td>\n",
       "      <td>-0.029752</td>\n",
       "      <td>-0.028262</td>\n",
       "      <td>-0.030906</td>\n",
       "      <td>-0.034276</td>\n",
       "      <td>-0.037478</td>\n",
       "      <td>...</td>\n",
       "      <td>1.183285</td>\n",
       "      <td>1.196763</td>\n",
       "      <td>1.220251</td>\n",
       "      <td>1.242289</td>\n",
       "      <td>1.258751</td>\n",
       "      <td>1.265134</td>\n",
       "      <td>1.224734</td>\n",
       "      <td>1.221163</td>\n",
       "      <td>1.218911</td>\n",
       "      <td>1.199721</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>-0.048701</td>\n",
       "      <td>-0.043481</td>\n",
       "      <td>-0.039350</td>\n",
       "      <td>-0.034401</td>\n",
       "      <td>-0.029720</td>\n",
       "      <td>-0.026981</td>\n",
       "      <td>-0.025584</td>\n",
       "      <td>-0.028123</td>\n",
       "      <td>-0.031705</td>\n",
       "      <td>-0.035099</td>\n",
       "      <td>...</td>\n",
       "      <td>1.158577</td>\n",
       "      <td>1.175239</td>\n",
       "      <td>1.201172</td>\n",
       "      <td>1.230248</td>\n",
       "      <td>1.254057</td>\n",
       "      <td>1.266095</td>\n",
       "      <td>1.216669</td>\n",
       "      <td>1.215951</td>\n",
       "      <td>1.218780</td>\n",
       "      <td>1.197700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>-0.045960</td>\n",
       "      <td>-0.040854</td>\n",
       "      <td>-0.036536</td>\n",
       "      <td>-0.031223</td>\n",
       "      <td>-0.026388</td>\n",
       "      <td>-0.023375</td>\n",
       "      <td>-0.022098</td>\n",
       "      <td>-0.024501</td>\n",
       "      <td>-0.028359</td>\n",
       "      <td>-0.032004</td>\n",
       "      <td>...</td>\n",
       "      <td>1.126423</td>\n",
       "      <td>1.147228</td>\n",
       "      <td>1.176343</td>\n",
       "      <td>1.214578</td>\n",
       "      <td>1.247947</td>\n",
       "      <td>1.267345</td>\n",
       "      <td>1.206174</td>\n",
       "      <td>1.209169</td>\n",
       "      <td>1.218610</td>\n",
       "      <td>1.195069</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>-0.052903</td>\n",
       "      <td>-0.047509</td>\n",
       "      <td>-0.043664</td>\n",
       "      <td>-0.039273</td>\n",
       "      <td>-0.034829</td>\n",
       "      <td>-0.032511</td>\n",
       "      <td>-0.030928</td>\n",
       "      <td>-0.033677</td>\n",
       "      <td>-0.036835</td>\n",
       "      <td>-0.039846</td>\n",
       "      <td>...</td>\n",
       "      <td>1.207884</td>\n",
       "      <td>1.218192</td>\n",
       "      <td>1.239245</td>\n",
       "      <td>1.254276</td>\n",
       "      <td>1.263425</td>\n",
       "      <td>1.264178</td>\n",
       "      <td>1.232763</td>\n",
       "      <td>1.226352</td>\n",
       "      <td>1.219041</td>\n",
       "      <td>1.201734</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-0.053781</td>\n",
       "      <td>-0.048350</td>\n",
       "      <td>-0.044565</td>\n",
       "      <td>-0.040291</td>\n",
       "      <td>-0.035897</td>\n",
       "      <td>-0.033666</td>\n",
       "      <td>-0.032045</td>\n",
       "      <td>-0.034838</td>\n",
       "      <td>-0.037907</td>\n",
       "      <td>-0.040837</td>\n",
       "      <td>...</td>\n",
       "      <td>1.218185</td>\n",
       "      <td>1.227166</td>\n",
       "      <td>1.247200</td>\n",
       "      <td>1.259297</td>\n",
       "      <td>1.265383</td>\n",
       "      <td>1.263777</td>\n",
       "      <td>1.236125</td>\n",
       "      <td>1.228525</td>\n",
       "      <td>1.219096</td>\n",
       "      <td>1.202577</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>-0.053337</td>\n",
       "      <td>-0.047924</td>\n",
       "      <td>-0.044109</td>\n",
       "      <td>-0.039776</td>\n",
       "      <td>-0.035357</td>\n",
       "      <td>-0.033081</td>\n",
       "      <td>-0.031480</td>\n",
       "      <td>-0.034250</td>\n",
       "      <td>-0.037365</td>\n",
       "      <td>-0.040336</td>\n",
       "      <td>...</td>\n",
       "      <td>1.212973</td>\n",
       "      <td>1.222626</td>\n",
       "      <td>1.243175</td>\n",
       "      <td>1.256757</td>\n",
       "      <td>1.264392</td>\n",
       "      <td>1.263980</td>\n",
       "      <td>1.234424</td>\n",
       "      <td>1.227426</td>\n",
       "      <td>1.219068</td>\n",
       "      <td>1.202151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>-0.050878</td>\n",
       "      <td>-0.045568</td>\n",
       "      <td>-0.041585</td>\n",
       "      <td>-0.036925</td>\n",
       "      <td>-0.032367</td>\n",
       "      <td>-0.029846</td>\n",
       "      <td>-0.028353</td>\n",
       "      <td>-0.031001</td>\n",
       "      <td>-0.034363</td>\n",
       "      <td>-0.037558</td>\n",
       "      <td>...</td>\n",
       "      <td>1.184125</td>\n",
       "      <td>1.197495</td>\n",
       "      <td>1.220899</td>\n",
       "      <td>1.242698</td>\n",
       "      <td>1.258911</td>\n",
       "      <td>1.265102</td>\n",
       "      <td>1.225008</td>\n",
       "      <td>1.221340</td>\n",
       "      <td>1.218915</td>\n",
       "      <td>1.199790</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>-0.050902</td>\n",
       "      <td>-0.045591</td>\n",
       "      <td>-0.041609</td>\n",
       "      <td>-0.036953</td>\n",
       "      <td>-0.032396</td>\n",
       "      <td>-0.029877</td>\n",
       "      <td>-0.028383</td>\n",
       "      <td>-0.031032</td>\n",
       "      <td>-0.034392</td>\n",
       "      <td>-0.037585</td>\n",
       "      <td>...</td>\n",
       "      <td>1.184404</td>\n",
       "      <td>1.197739</td>\n",
       "      <td>1.221115</td>\n",
       "      <td>1.242834</td>\n",
       "      <td>1.258964</td>\n",
       "      <td>1.265091</td>\n",
       "      <td>1.225099</td>\n",
       "      <td>1.221399</td>\n",
       "      <td>1.218917</td>\n",
       "      <td>1.199813</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>-0.053124</td>\n",
       "      <td>-0.047721</td>\n",
       "      <td>-0.043890</td>\n",
       "      <td>-0.039529</td>\n",
       "      <td>-0.035098</td>\n",
       "      <td>-0.032801</td>\n",
       "      <td>-0.031210</td>\n",
       "      <td>-0.033969</td>\n",
       "      <td>-0.037105</td>\n",
       "      <td>-0.040095</td>\n",
       "      <td>...</td>\n",
       "      <td>1.210477</td>\n",
       "      <td>1.220452</td>\n",
       "      <td>1.241248</td>\n",
       "      <td>1.255540</td>\n",
       "      <td>1.263918</td>\n",
       "      <td>1.264077</td>\n",
       "      <td>1.233609</td>\n",
       "      <td>1.226899</td>\n",
       "      <td>1.219055</td>\n",
       "      <td>1.201946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>-0.052062</td>\n",
       "      <td>-0.046703</td>\n",
       "      <td>-0.042800</td>\n",
       "      <td>-0.038298</td>\n",
       "      <td>-0.033807</td>\n",
       "      <td>-0.031404</td>\n",
       "      <td>-0.029859</td>\n",
       "      <td>-0.032566</td>\n",
       "      <td>-0.035809</td>\n",
       "      <td>-0.038896</td>\n",
       "      <td>...</td>\n",
       "      <td>1.198017</td>\n",
       "      <td>1.209597</td>\n",
       "      <td>1.231627</td>\n",
       "      <td>1.249468</td>\n",
       "      <td>1.261551</td>\n",
       "      <td>1.264561</td>\n",
       "      <td>1.229543</td>\n",
       "      <td>1.224271</td>\n",
       "      <td>1.218989</td>\n",
       "      <td>1.200927</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>-0.051990</td>\n",
       "      <td>-0.046633</td>\n",
       "      <td>-0.042726</td>\n",
       "      <td>-0.038214</td>\n",
       "      <td>-0.033719</td>\n",
       "      <td>-0.031308</td>\n",
       "      <td>-0.029767</td>\n",
       "      <td>-0.032470</td>\n",
       "      <td>-0.035720</td>\n",
       "      <td>-0.038814</td>\n",
       "      <td>...</td>\n",
       "      <td>1.197165</td>\n",
       "      <td>1.208855</td>\n",
       "      <td>1.230968</td>\n",
       "      <td>1.249053</td>\n",
       "      <td>1.261389</td>\n",
       "      <td>1.264595</td>\n",
       "      <td>1.229264</td>\n",
       "      <td>1.224091</td>\n",
       "      <td>1.218985</td>\n",
       "      <td>1.200857</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>-0.052483</td>\n",
       "      <td>-0.047106</td>\n",
       "      <td>-0.043232</td>\n",
       "      <td>-0.038785</td>\n",
       "      <td>-0.034318</td>\n",
       "      <td>-0.031957</td>\n",
       "      <td>-0.030394</td>\n",
       "      <td>-0.033121</td>\n",
       "      <td>-0.036322</td>\n",
       "      <td>-0.039371</td>\n",
       "      <td>...</td>\n",
       "      <td>1.202949</td>\n",
       "      <td>1.213893</td>\n",
       "      <td>1.235435</td>\n",
       "      <td>1.251871</td>\n",
       "      <td>1.262488</td>\n",
       "      <td>1.264370</td>\n",
       "      <td>1.231152</td>\n",
       "      <td>1.225311</td>\n",
       "      <td>1.219015</td>\n",
       "      <td>1.201330</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>-0.052383</td>\n",
       "      <td>-0.047010</td>\n",
       "      <td>-0.043130</td>\n",
       "      <td>-0.038670</td>\n",
       "      <td>-0.034197</td>\n",
       "      <td>-0.031826</td>\n",
       "      <td>-0.030267</td>\n",
       "      <td>-0.032990</td>\n",
       "      <td>-0.036200</td>\n",
       "      <td>-0.039258</td>\n",
       "      <td>...</td>\n",
       "      <td>1.201782</td>\n",
       "      <td>1.212877</td>\n",
       "      <td>1.234534</td>\n",
       "      <td>1.251303</td>\n",
       "      <td>1.262266</td>\n",
       "      <td>1.264415</td>\n",
       "      <td>1.230771</td>\n",
       "      <td>1.225065</td>\n",
       "      <td>1.219009</td>\n",
       "      <td>1.201235</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>-0.053473</td>\n",
       "      <td>-0.048054</td>\n",
       "      <td>-0.044248</td>\n",
       "      <td>-0.039933</td>\n",
       "      <td>-0.035522</td>\n",
       "      <td>-0.033260</td>\n",
       "      <td>-0.031653</td>\n",
       "      <td>-0.034430</td>\n",
       "      <td>-0.037531</td>\n",
       "      <td>-0.040489</td>\n",
       "      <td>...</td>\n",
       "      <td>1.214564</td>\n",
       "      <td>1.224012</td>\n",
       "      <td>1.244404</td>\n",
       "      <td>1.257532</td>\n",
       "      <td>1.264694</td>\n",
       "      <td>1.263918</td>\n",
       "      <td>1.234943</td>\n",
       "      <td>1.227761</td>\n",
       "      <td>1.219077</td>\n",
       "      <td>1.202281</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>-0.052646</td>\n",
       "      <td>-0.047262</td>\n",
       "      <td>-0.043399</td>\n",
       "      <td>-0.038974</td>\n",
       "      <td>-0.034516</td>\n",
       "      <td>-0.032172</td>\n",
       "      <td>-0.030601</td>\n",
       "      <td>-0.033337</td>\n",
       "      <td>-0.036521</td>\n",
       "      <td>-0.039555</td>\n",
       "      <td>...</td>\n",
       "      <td>1.204862</td>\n",
       "      <td>1.215560</td>\n",
       "      <td>1.236912</td>\n",
       "      <td>1.252804</td>\n",
       "      <td>1.262851</td>\n",
       "      <td>1.264295</td>\n",
       "      <td>1.231777</td>\n",
       "      <td>1.225715</td>\n",
       "      <td>1.219025</td>\n",
       "      <td>1.201487</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>-0.053238</td>\n",
       "      <td>-0.047829</td>\n",
       "      <td>-0.044007</td>\n",
       "      <td>-0.039661</td>\n",
       "      <td>-0.035236</td>\n",
       "      <td>-0.032951</td>\n",
       "      <td>-0.031354</td>\n",
       "      <td>-0.034119</td>\n",
       "      <td>-0.037244</td>\n",
       "      <td>-0.040223</td>\n",
       "      <td>...</td>\n",
       "      <td>1.211808</td>\n",
       "      <td>1.221611</td>\n",
       "      <td>1.242276</td>\n",
       "      <td>1.256189</td>\n",
       "      <td>1.264171</td>\n",
       "      <td>1.264025</td>\n",
       "      <td>1.234044</td>\n",
       "      <td>1.227180</td>\n",
       "      <td>1.219062</td>\n",
       "      <td>1.202055</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>-0.052573</td>\n",
       "      <td>-0.047192</td>\n",
       "      <td>-0.043324</td>\n",
       "      <td>-0.038889</td>\n",
       "      <td>-0.034427</td>\n",
       "      <td>-0.032075</td>\n",
       "      <td>-0.030508</td>\n",
       "      <td>-0.033240</td>\n",
       "      <td>-0.036431</td>\n",
       "      <td>-0.039472</td>\n",
       "      <td>...</td>\n",
       "      <td>1.204001</td>\n",
       "      <td>1.214810</td>\n",
       "      <td>1.236248</td>\n",
       "      <td>1.252384</td>\n",
       "      <td>1.262688</td>\n",
       "      <td>1.264329</td>\n",
       "      <td>1.231496</td>\n",
       "      <td>1.225533</td>\n",
       "      <td>1.219021</td>\n",
       "      <td>1.201417</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>-0.053966</td>\n",
       "      <td>-0.048528</td>\n",
       "      <td>-0.044755</td>\n",
       "      <td>-0.040505</td>\n",
       "      <td>-0.036122</td>\n",
       "      <td>-0.033909</td>\n",
       "      <td>-0.032280</td>\n",
       "      <td>-0.035082</td>\n",
       "      <td>-0.038133</td>\n",
       "      <td>-0.041046</td>\n",
       "      <td>...</td>\n",
       "      <td>1.220355</td>\n",
       "      <td>1.229057</td>\n",
       "      <td>1.248876</td>\n",
       "      <td>1.260354</td>\n",
       "      <td>1.265795</td>\n",
       "      <td>1.263693</td>\n",
       "      <td>1.236834</td>\n",
       "      <td>1.228983</td>\n",
       "      <td>1.219107</td>\n",
       "      <td>1.202755</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>-0.053337</td>\n",
       "      <td>-0.047925</td>\n",
       "      <td>-0.044109</td>\n",
       "      <td>-0.039776</td>\n",
       "      <td>-0.035357</td>\n",
       "      <td>-0.033082</td>\n",
       "      <td>-0.031480</td>\n",
       "      <td>-0.034251</td>\n",
       "      <td>-0.037365</td>\n",
       "      <td>-0.040336</td>\n",
       "      <td>...</td>\n",
       "      <td>1.212976</td>\n",
       "      <td>1.222628</td>\n",
       "      <td>1.243178</td>\n",
       "      <td>1.256758</td>\n",
       "      <td>1.264393</td>\n",
       "      <td>1.263980</td>\n",
       "      <td>1.234425</td>\n",
       "      <td>1.227426</td>\n",
       "      <td>1.219068</td>\n",
       "      <td>1.202151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>-0.050809</td>\n",
       "      <td>-0.045501</td>\n",
       "      <td>-0.041514</td>\n",
       "      <td>-0.036845</td>\n",
       "      <td>-0.032283</td>\n",
       "      <td>-0.029755</td>\n",
       "      <td>-0.028265</td>\n",
       "      <td>-0.030909</td>\n",
       "      <td>-0.034279</td>\n",
       "      <td>-0.037480</td>\n",
       "      <td>...</td>\n",
       "      <td>1.183311</td>\n",
       "      <td>1.196786</td>\n",
       "      <td>1.220271</td>\n",
       "      <td>1.242301</td>\n",
       "      <td>1.258756</td>\n",
       "      <td>1.265133</td>\n",
       "      <td>1.224742</td>\n",
       "      <td>1.221169</td>\n",
       "      <td>1.218911</td>\n",
       "      <td>1.199724</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>-0.051252</td>\n",
       "      <td>-0.045926</td>\n",
       "      <td>-0.041968</td>\n",
       "      <td>-0.037358</td>\n",
       "      <td>-0.032821</td>\n",
       "      <td>-0.030337</td>\n",
       "      <td>-0.028828</td>\n",
       "      <td>-0.031494</td>\n",
       "      <td>-0.034819</td>\n",
       "      <td>-0.037980</td>\n",
       "      <td>...</td>\n",
       "      <td>1.188503</td>\n",
       "      <td>1.201309</td>\n",
       "      <td>1.224280</td>\n",
       "      <td>1.244832</td>\n",
       "      <td>1.259743</td>\n",
       "      <td>1.264931</td>\n",
       "      <td>1.226437</td>\n",
       "      <td>1.222264</td>\n",
       "      <td>1.218939</td>\n",
       "      <td>1.200148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>-0.050728</td>\n",
       "      <td>-0.045424</td>\n",
       "      <td>-0.041431</td>\n",
       "      <td>-0.036751</td>\n",
       "      <td>-0.032185</td>\n",
       "      <td>-0.029648</td>\n",
       "      <td>-0.028162</td>\n",
       "      <td>-0.030802</td>\n",
       "      <td>-0.034180</td>\n",
       "      <td>-0.037389</td>\n",
       "      <td>...</td>\n",
       "      <td>1.182361</td>\n",
       "      <td>1.195959</td>\n",
       "      <td>1.219538</td>\n",
       "      <td>1.241839</td>\n",
       "      <td>1.258576</td>\n",
       "      <td>1.265170</td>\n",
       "      <td>1.224432</td>\n",
       "      <td>1.220968</td>\n",
       "      <td>1.218906</td>\n",
       "      <td>1.199646</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>-0.051108</td>\n",
       "      <td>-0.045788</td>\n",
       "      <td>-0.041820</td>\n",
       "      <td>-0.037191</td>\n",
       "      <td>-0.032646</td>\n",
       "      <td>-0.030148</td>\n",
       "      <td>-0.028645</td>\n",
       "      <td>-0.031304</td>\n",
       "      <td>-0.034643</td>\n",
       "      <td>-0.037817</td>\n",
       "      <td>...</td>\n",
       "      <td>1.186814</td>\n",
       "      <td>1.199838</td>\n",
       "      <td>1.222976</td>\n",
       "      <td>1.244008</td>\n",
       "      <td>1.259422</td>\n",
       "      <td>1.264997</td>\n",
       "      <td>1.225886</td>\n",
       "      <td>1.221908</td>\n",
       "      <td>1.218930</td>\n",
       "      <td>1.200010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>-0.053705</td>\n",
       "      <td>-0.048277</td>\n",
       "      <td>-0.044486</td>\n",
       "      <td>-0.040202</td>\n",
       "      <td>-0.035804</td>\n",
       "      <td>-0.033565</td>\n",
       "      <td>-0.031948</td>\n",
       "      <td>-0.034736</td>\n",
       "      <td>-0.037814</td>\n",
       "      <td>-0.040751</td>\n",
       "      <td>...</td>\n",
       "      <td>1.217285</td>\n",
       "      <td>1.226382</td>\n",
       "      <td>1.246505</td>\n",
       "      <td>1.258858</td>\n",
       "      <td>1.265212</td>\n",
       "      <td>1.263812</td>\n",
       "      <td>1.235831</td>\n",
       "      <td>1.228335</td>\n",
       "      <td>1.219091</td>\n",
       "      <td>1.202503</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>-0.052992</td>\n",
       "      <td>-0.047593</td>\n",
       "      <td>-0.043754</td>\n",
       "      <td>-0.039375</td>\n",
       "      <td>-0.034937</td>\n",
       "      <td>-0.032627</td>\n",
       "      <td>-0.031041</td>\n",
       "      <td>-0.033794</td>\n",
       "      <td>-0.036943</td>\n",
       "      <td>-0.039945</td>\n",
       "      <td>...</td>\n",
       "      <td>1.208920</td>\n",
       "      <td>1.219096</td>\n",
       "      <td>1.240046</td>\n",
       "      <td>1.254782</td>\n",
       "      <td>1.263622</td>\n",
       "      <td>1.264138</td>\n",
       "      <td>1.233101</td>\n",
       "      <td>1.226571</td>\n",
       "      <td>1.219047</td>\n",
       "      <td>1.201819</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>-0.053975</td>\n",
       "      <td>-0.048536</td>\n",
       "      <td>-0.044764</td>\n",
       "      <td>-0.040515</td>\n",
       "      <td>-0.036132</td>\n",
       "      <td>-0.033921</td>\n",
       "      <td>-0.032292</td>\n",
       "      <td>-0.035094</td>\n",
       "      <td>-0.038144</td>\n",
       "      <td>-0.041056</td>\n",
       "      <td>...</td>\n",
       "      <td>1.220458</td>\n",
       "      <td>1.229146</td>\n",
       "      <td>1.248955</td>\n",
       "      <td>1.260404</td>\n",
       "      <td>1.265814</td>\n",
       "      <td>1.263689</td>\n",
       "      <td>1.236867</td>\n",
       "      <td>1.229004</td>\n",
       "      <td>1.219108</td>\n",
       "      <td>1.202763</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>-0.051327</td>\n",
       "      <td>-0.045998</td>\n",
       "      <td>-0.042045</td>\n",
       "      <td>-0.037445</td>\n",
       "      <td>-0.032913</td>\n",
       "      <td>-0.030436</td>\n",
       "      <td>-0.028924</td>\n",
       "      <td>-0.031594</td>\n",
       "      <td>-0.034911</td>\n",
       "      <td>-0.038065</td>\n",
       "      <td>...</td>\n",
       "      <td>1.189389</td>\n",
       "      <td>1.202081</td>\n",
       "      <td>1.224964</td>\n",
       "      <td>1.245263</td>\n",
       "      <td>1.259911</td>\n",
       "      <td>1.264897</td>\n",
       "      <td>1.226726</td>\n",
       "      <td>1.222451</td>\n",
       "      <td>1.218943</td>\n",
       "      <td>1.200221</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>-0.053425</td>\n",
       "      <td>-0.048008</td>\n",
       "      <td>-0.044199</td>\n",
       "      <td>-0.039877</td>\n",
       "      <td>-0.035463</td>\n",
       "      <td>-0.033196</td>\n",
       "      <td>-0.031591</td>\n",
       "      <td>-0.034366</td>\n",
       "      <td>-0.037472</td>\n",
       "      <td>-0.040434</td>\n",
       "      <td>...</td>\n",
       "      <td>1.213999</td>\n",
       "      <td>1.223519</td>\n",
       "      <td>1.243967</td>\n",
       "      <td>1.257257</td>\n",
       "      <td>1.264587</td>\n",
       "      <td>1.263940</td>\n",
       "      <td>1.234759</td>\n",
       "      <td>1.227642</td>\n",
       "      <td>1.219074</td>\n",
       "      <td>1.202235</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>-0.057632</td>\n",
       "      <td>-0.052041</td>\n",
       "      <td>-0.048518</td>\n",
       "      <td>-0.044755</td>\n",
       "      <td>-0.040579</td>\n",
       "      <td>-0.038733</td>\n",
       "      <td>-0.036943</td>\n",
       "      <td>-0.039927</td>\n",
       "      <td>-0.042609</td>\n",
       "      <td>-0.045187</td>\n",
       "      <td>...</td>\n",
       "      <td>1.263365</td>\n",
       "      <td>1.266525</td>\n",
       "      <td>1.282087</td>\n",
       "      <td>1.281315</td>\n",
       "      <td>1.273967</td>\n",
       "      <td>1.262021</td>\n",
       "      <td>1.250872</td>\n",
       "      <td>1.238055</td>\n",
       "      <td>1.219336</td>\n",
       "      <td>1.206274</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>-0.055272</td>\n",
       "      <td>-0.049778</td>\n",
       "      <td>-0.046095</td>\n",
       "      <td>-0.042018</td>\n",
       "      <td>-0.037709</td>\n",
       "      <td>-0.035627</td>\n",
       "      <td>-0.033940</td>\n",
       "      <td>-0.036807</td>\n",
       "      <td>-0.039727</td>\n",
       "      <td>-0.042520</td>\n",
       "      <td>...</td>\n",
       "      <td>1.235669</td>\n",
       "      <td>1.242397</td>\n",
       "      <td>1.260701</td>\n",
       "      <td>1.267817</td>\n",
       "      <td>1.268705</td>\n",
       "      <td>1.263098</td>\n",
       "      <td>1.241832</td>\n",
       "      <td>1.232213</td>\n",
       "      <td>1.219189</td>\n",
       "      <td>1.204008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>-0.053817</td>\n",
       "      <td>-0.048384</td>\n",
       "      <td>-0.044601</td>\n",
       "      <td>-0.040332</td>\n",
       "      <td>-0.035940</td>\n",
       "      <td>-0.033713</td>\n",
       "      <td>-0.032090</td>\n",
       "      <td>-0.034885</td>\n",
       "      <td>-0.037951</td>\n",
       "      <td>-0.040878</td>\n",
       "      <td>...</td>\n",
       "      <td>1.218602</td>\n",
       "      <td>1.227530</td>\n",
       "      <td>1.247522</td>\n",
       "      <td>1.259500</td>\n",
       "      <td>1.265462</td>\n",
       "      <td>1.263761</td>\n",
       "      <td>1.236262</td>\n",
       "      <td>1.228613</td>\n",
       "      <td>1.219098</td>\n",
       "      <td>1.202611</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>-0.051565</td>\n",
       "      <td>-0.046226</td>\n",
       "      <td>-0.042290</td>\n",
       "      <td>-0.037721</td>\n",
       "      <td>-0.033202</td>\n",
       "      <td>-0.030750</td>\n",
       "      <td>-0.029226</td>\n",
       "      <td>-0.031909</td>\n",
       "      <td>-0.035202</td>\n",
       "      <td>-0.038334</td>\n",
       "      <td>...</td>\n",
       "      <td>1.192182</td>\n",
       "      <td>1.204514</td>\n",
       "      <td>1.227121</td>\n",
       "      <td>1.246625</td>\n",
       "      <td>1.260442</td>\n",
       "      <td>1.264788</td>\n",
       "      <td>1.227638</td>\n",
       "      <td>1.223040</td>\n",
       "      <td>1.218958</td>\n",
       "      <td>1.200449</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>-0.055380</td>\n",
       "      <td>-0.049882</td>\n",
       "      <td>-0.046206</td>\n",
       "      <td>-0.042144</td>\n",
       "      <td>-0.037840</td>\n",
       "      <td>-0.035769</td>\n",
       "      <td>-0.034078</td>\n",
       "      <td>-0.036950</td>\n",
       "      <td>-0.039859</td>\n",
       "      <td>-0.042643</td>\n",
       "      <td>...</td>\n",
       "      <td>1.236940</td>\n",
       "      <td>1.243505</td>\n",
       "      <td>1.261682</td>\n",
       "      <td>1.268437</td>\n",
       "      <td>1.268946</td>\n",
       "      <td>1.263048</td>\n",
       "      <td>1.242247</td>\n",
       "      <td>1.232481</td>\n",
       "      <td>1.219195</td>\n",
       "      <td>1.204112</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>-0.055236</td>\n",
       "      <td>-0.049744</td>\n",
       "      <td>-0.046058</td>\n",
       "      <td>-0.041977</td>\n",
       "      <td>-0.037665</td>\n",
       "      <td>-0.035580</td>\n",
       "      <td>-0.033895</td>\n",
       "      <td>-0.036760</td>\n",
       "      <td>-0.039683</td>\n",
       "      <td>-0.042480</td>\n",
       "      <td>...</td>\n",
       "      <td>1.235249</td>\n",
       "      <td>1.242031</td>\n",
       "      <td>1.260376</td>\n",
       "      <td>1.267612</td>\n",
       "      <td>1.268625</td>\n",
       "      <td>1.263114</td>\n",
       "      <td>1.241695</td>\n",
       "      <td>1.232124</td>\n",
       "      <td>1.219186</td>\n",
       "      <td>1.203973</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>-0.055135</td>\n",
       "      <td>-0.049647</td>\n",
       "      <td>-0.045954</td>\n",
       "      <td>-0.041859</td>\n",
       "      <td>-0.037542</td>\n",
       "      <td>-0.035446</td>\n",
       "      <td>-0.033766</td>\n",
       "      <td>-0.036626</td>\n",
       "      <td>-0.039559</td>\n",
       "      <td>-0.042366</td>\n",
       "      <td>...</td>\n",
       "      <td>1.234060</td>\n",
       "      <td>1.240996</td>\n",
       "      <td>1.259458</td>\n",
       "      <td>1.267033</td>\n",
       "      <td>1.268399</td>\n",
       "      <td>1.263160</td>\n",
       "      <td>1.241307</td>\n",
       "      <td>1.231874</td>\n",
       "      <td>1.219180</td>\n",
       "      <td>1.203876</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>-0.053244</td>\n",
       "      <td>-0.047835</td>\n",
       "      <td>-0.044013</td>\n",
       "      <td>-0.039668</td>\n",
       "      <td>-0.035244</td>\n",
       "      <td>-0.032959</td>\n",
       "      <td>-0.031362</td>\n",
       "      <td>-0.034128</td>\n",
       "      <td>-0.037251</td>\n",
       "      <td>-0.040231</td>\n",
       "      <td>...</td>\n",
       "      <td>1.211882</td>\n",
       "      <td>1.221675</td>\n",
       "      <td>1.242333</td>\n",
       "      <td>1.256225</td>\n",
       "      <td>1.264185</td>\n",
       "      <td>1.264022</td>\n",
       "      <td>1.234068</td>\n",
       "      <td>1.227195</td>\n",
       "      <td>1.219063</td>\n",
       "      <td>1.202061</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>-0.055475</td>\n",
       "      <td>-0.049973</td>\n",
       "      <td>-0.046303</td>\n",
       "      <td>-0.042254</td>\n",
       "      <td>-0.037956</td>\n",
       "      <td>-0.035894</td>\n",
       "      <td>-0.034199</td>\n",
       "      <td>-0.037076</td>\n",
       "      <td>-0.039975</td>\n",
       "      <td>-0.042750</td>\n",
       "      <td>...</td>\n",
       "      <td>1.238054</td>\n",
       "      <td>1.244475</td>\n",
       "      <td>1.262543</td>\n",
       "      <td>1.268980</td>\n",
       "      <td>1.269158</td>\n",
       "      <td>1.263005</td>\n",
       "      <td>1.242611</td>\n",
       "      <td>1.232716</td>\n",
       "      <td>1.219201</td>\n",
       "      <td>1.204203</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>-0.056055</td>\n",
       "      <td>-0.050529</td>\n",
       "      <td>-0.046898</td>\n",
       "      <td>-0.042926</td>\n",
       "      <td>-0.038661</td>\n",
       "      <td>-0.036657</td>\n",
       "      <td>-0.034936</td>\n",
       "      <td>-0.037842</td>\n",
       "      <td>-0.040683</td>\n",
       "      <td>-0.043405</td>\n",
       "      <td>...</td>\n",
       "      <td>1.244858</td>\n",
       "      <td>1.250402</td>\n",
       "      <td>1.267796</td>\n",
       "      <td>1.272295</td>\n",
       "      <td>1.270451</td>\n",
       "      <td>1.262740</td>\n",
       "      <td>1.244831</td>\n",
       "      <td>1.234151</td>\n",
       "      <td>1.219237</td>\n",
       "      <td>1.204760</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>-0.053798</td>\n",
       "      <td>-0.048366</td>\n",
       "      <td>-0.044582</td>\n",
       "      <td>-0.040310</td>\n",
       "      <td>-0.035917</td>\n",
       "      <td>-0.033688</td>\n",
       "      <td>-0.032066</td>\n",
       "      <td>-0.034859</td>\n",
       "      <td>-0.037927</td>\n",
       "      <td>-0.040856</td>\n",
       "      <td>...</td>\n",
       "      <td>1.218379</td>\n",
       "      <td>1.227335</td>\n",
       "      <td>1.247350</td>\n",
       "      <td>1.259391</td>\n",
       "      <td>1.265419</td>\n",
       "      <td>1.263770</td>\n",
       "      <td>1.236188</td>\n",
       "      <td>1.228566</td>\n",
       "      <td>1.219097</td>\n",
       "      <td>1.202593</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>-0.055611</td>\n",
       "      <td>-0.050103</td>\n",
       "      <td>-0.046443</td>\n",
       "      <td>-0.042411</td>\n",
       "      <td>-0.038121</td>\n",
       "      <td>-0.036073</td>\n",
       "      <td>-0.034372</td>\n",
       "      <td>-0.037255</td>\n",
       "      <td>-0.040141</td>\n",
       "      <td>-0.042903</td>\n",
       "      <td>...</td>\n",
       "      <td>1.239646</td>\n",
       "      <td>1.245862</td>\n",
       "      <td>1.263772</td>\n",
       "      <td>1.269756</td>\n",
       "      <td>1.269460</td>\n",
       "      <td>1.262943</td>\n",
       "      <td>1.243130</td>\n",
       "      <td>1.233052</td>\n",
       "      <td>1.219210</td>\n",
       "      <td>1.204333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>-0.054969</td>\n",
       "      <td>-0.049488</td>\n",
       "      <td>-0.045784</td>\n",
       "      <td>-0.041668</td>\n",
       "      <td>-0.037341</td>\n",
       "      <td>-0.035229</td>\n",
       "      <td>-0.033556</td>\n",
       "      <td>-0.036407</td>\n",
       "      <td>-0.039357</td>\n",
       "      <td>-0.042179</td>\n",
       "      <td>...</td>\n",
       "      <td>1.232119</td>\n",
       "      <td>1.239305</td>\n",
       "      <td>1.257959</td>\n",
       "      <td>1.266087</td>\n",
       "      <td>1.268030</td>\n",
       "      <td>1.263236</td>\n",
       "      <td>1.240673</td>\n",
       "      <td>1.231464</td>\n",
       "      <td>1.219170</td>\n",
       "      <td>1.203717</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>-0.050798</td>\n",
       "      <td>-0.045491</td>\n",
       "      <td>-0.041503</td>\n",
       "      <td>-0.036832</td>\n",
       "      <td>-0.032270</td>\n",
       "      <td>-0.029741</td>\n",
       "      <td>-0.028251</td>\n",
       "      <td>-0.030895</td>\n",
       "      <td>-0.034266</td>\n",
       "      <td>-0.037468</td>\n",
       "      <td>...</td>\n",
       "      <td>1.183187</td>\n",
       "      <td>1.196678</td>\n",
       "      <td>1.220175</td>\n",
       "      <td>1.242241</td>\n",
       "      <td>1.258733</td>\n",
       "      <td>1.265138</td>\n",
       "      <td>1.224702</td>\n",
       "      <td>1.221143</td>\n",
       "      <td>1.218910</td>\n",
       "      <td>1.199713</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>-0.052811</td>\n",
       "      <td>-0.047420</td>\n",
       "      <td>-0.043569</td>\n",
       "      <td>-0.039166</td>\n",
       "      <td>-0.034717</td>\n",
       "      <td>-0.032389</td>\n",
       "      <td>-0.030811</td>\n",
       "      <td>-0.033555</td>\n",
       "      <td>-0.036723</td>\n",
       "      <td>-0.039741</td>\n",
       "      <td>...</td>\n",
       "      <td>1.206800</td>\n",
       "      <td>1.217248</td>\n",
       "      <td>1.238409</td>\n",
       "      <td>1.253748</td>\n",
       "      <td>1.263219</td>\n",
       "      <td>1.264220</td>\n",
       "      <td>1.232409</td>\n",
       "      <td>1.226123</td>\n",
       "      <td>1.219036</td>\n",
       "      <td>1.201646</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>-0.052451</td>\n",
       "      <td>-0.047075</td>\n",
       "      <td>-0.043199</td>\n",
       "      <td>-0.038749</td>\n",
       "      <td>-0.034280</td>\n",
       "      <td>-0.031916</td>\n",
       "      <td>-0.030353</td>\n",
       "      <td>-0.033080</td>\n",
       "      <td>-0.036283</td>\n",
       "      <td>-0.039335</td>\n",
       "      <td>...</td>\n",
       "      <td>1.202579</td>\n",
       "      <td>1.213571</td>\n",
       "      <td>1.235149</td>\n",
       "      <td>1.251691</td>\n",
       "      <td>1.262417</td>\n",
       "      <td>1.264384</td>\n",
       "      <td>1.231031</td>\n",
       "      <td>1.225233</td>\n",
       "      <td>1.219013</td>\n",
       "      <td>1.201300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>-0.052522</td>\n",
       "      <td>-0.047143</td>\n",
       "      <td>-0.043272</td>\n",
       "      <td>-0.038831</td>\n",
       "      <td>-0.034366</td>\n",
       "      <td>-0.032009</td>\n",
       "      <td>-0.030444</td>\n",
       "      <td>-0.033173</td>\n",
       "      <td>-0.036370</td>\n",
       "      <td>-0.039415</td>\n",
       "      <td>...</td>\n",
       "      <td>1.203412</td>\n",
       "      <td>1.214297</td>\n",
       "      <td>1.235792</td>\n",
       "      <td>1.252097</td>\n",
       "      <td>1.262576</td>\n",
       "      <td>1.264352</td>\n",
       "      <td>1.231303</td>\n",
       "      <td>1.225409</td>\n",
       "      <td>1.219018</td>\n",
       "      <td>1.201368</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>-0.054372</td>\n",
       "      <td>-0.048916</td>\n",
       "      <td>-0.045171</td>\n",
       "      <td>-0.040975</td>\n",
       "      <td>-0.036614</td>\n",
       "      <td>-0.034442</td>\n",
       "      <td>-0.032796</td>\n",
       "      <td>-0.035617</td>\n",
       "      <td>-0.038628</td>\n",
       "      <td>-0.041504</td>\n",
       "      <td>...</td>\n",
       "      <td>1.225108</td>\n",
       "      <td>1.233197</td>\n",
       "      <td>1.252546</td>\n",
       "      <td>1.262671</td>\n",
       "      <td>1.266698</td>\n",
       "      <td>1.263508</td>\n",
       "      <td>1.238385</td>\n",
       "      <td>1.229985</td>\n",
       "      <td>1.219133</td>\n",
       "      <td>1.203144</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>-0.056136</td>\n",
       "      <td>-0.050607</td>\n",
       "      <td>-0.046982</td>\n",
       "      <td>-0.043020</td>\n",
       "      <td>-0.038760</td>\n",
       "      <td>-0.036764</td>\n",
       "      <td>-0.035040</td>\n",
       "      <td>-0.037949</td>\n",
       "      <td>-0.040782</td>\n",
       "      <td>-0.043497</td>\n",
       "      <td>...</td>\n",
       "      <td>1.245810</td>\n",
       "      <td>1.251232</td>\n",
       "      <td>1.268531</td>\n",
       "      <td>1.272759</td>\n",
       "      <td>1.270631</td>\n",
       "      <td>1.262703</td>\n",
       "      <td>1.245142</td>\n",
       "      <td>1.234352</td>\n",
       "      <td>1.219242</td>\n",
       "      <td>1.204838</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>-0.053885</td>\n",
       "      <td>-0.048449</td>\n",
       "      <td>-0.044671</td>\n",
       "      <td>-0.040411</td>\n",
       "      <td>-0.036023</td>\n",
       "      <td>-0.033802</td>\n",
       "      <td>-0.032177</td>\n",
       "      <td>-0.034974</td>\n",
       "      <td>-0.038034</td>\n",
       "      <td>-0.040954</td>\n",
       "      <td>...</td>\n",
       "      <td>1.219399</td>\n",
       "      <td>1.228224</td>\n",
       "      <td>1.248137</td>\n",
       "      <td>1.259888</td>\n",
       "      <td>1.265613</td>\n",
       "      <td>1.263730</td>\n",
       "      <td>1.236522</td>\n",
       "      <td>1.228781</td>\n",
       "      <td>1.219102</td>\n",
       "      <td>1.202676</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>60 rows × 401 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         0         1         2         3         4         5         6    \\\n",
       "0  -0.052611 -0.047228 -0.043363 -0.038934 -0.034474 -0.032126 -0.030556   \n",
       "1  -0.046988 -0.041839 -0.037591 -0.032415 -0.027637 -0.024727 -0.023405   \n",
       "2  -0.047993 -0.042802 -0.038623 -0.033580 -0.028859 -0.026049 -0.024683   \n",
       "3  -0.048773 -0.043551 -0.039424 -0.034485 -0.029808 -0.027076 -0.025676   \n",
       "4  -0.054796 -0.049323 -0.045606 -0.041467 -0.037130 -0.035001 -0.033336   \n",
       "5  -0.051650 -0.046307 -0.042377 -0.037819 -0.033305 -0.030861 -0.029334   \n",
       "6  -0.054027 -0.048586 -0.044817 -0.040576 -0.036196 -0.033990 -0.032358   \n",
       "7  -0.050542 -0.045245 -0.041239 -0.036535 -0.031958 -0.029403 -0.027925   \n",
       "8  -0.053169 -0.047763 -0.043936 -0.039581 -0.035152 -0.032860 -0.031266   \n",
       "9  -0.054208 -0.048759 -0.045002 -0.040785 -0.036415 -0.034227 -0.032587   \n",
       "10 -0.056381 -0.050842 -0.047234 -0.043305 -0.039058 -0.037087 -0.035352   \n",
       "11 -0.054451 -0.048992 -0.045252 -0.041067 -0.036711 -0.034547 -0.032896   \n",
       "12 -0.050807 -0.045499 -0.041511 -0.036842 -0.032280 -0.029752 -0.028262   \n",
       "13 -0.048701 -0.043481 -0.039350 -0.034401 -0.029720 -0.026981 -0.025584   \n",
       "14 -0.045960 -0.040854 -0.036536 -0.031223 -0.026388 -0.023375 -0.022098   \n",
       "15 -0.052903 -0.047509 -0.043664 -0.039273 -0.034829 -0.032511 -0.030928   \n",
       "16 -0.053781 -0.048350 -0.044565 -0.040291 -0.035897 -0.033666 -0.032045   \n",
       "17 -0.053337 -0.047924 -0.044109 -0.039776 -0.035357 -0.033081 -0.031480   \n",
       "18 -0.050878 -0.045568 -0.041585 -0.036925 -0.032367 -0.029846 -0.028353   \n",
       "19 -0.050902 -0.045591 -0.041609 -0.036953 -0.032396 -0.029877 -0.028383   \n",
       "20 -0.053124 -0.047721 -0.043890 -0.039529 -0.035098 -0.032801 -0.031210   \n",
       "21 -0.052062 -0.046703 -0.042800 -0.038298 -0.033807 -0.031404 -0.029859   \n",
       "22 -0.051990 -0.046633 -0.042726 -0.038214 -0.033719 -0.031308 -0.029767   \n",
       "23 -0.052483 -0.047106 -0.043232 -0.038785 -0.034318 -0.031957 -0.030394   \n",
       "24 -0.052383 -0.047010 -0.043130 -0.038670 -0.034197 -0.031826 -0.030267   \n",
       "25 -0.053473 -0.048054 -0.044248 -0.039933 -0.035522 -0.033260 -0.031653   \n",
       "26 -0.052646 -0.047262 -0.043399 -0.038974 -0.034516 -0.032172 -0.030601   \n",
       "27 -0.053238 -0.047829 -0.044007 -0.039661 -0.035236 -0.032951 -0.031354   \n",
       "28 -0.052573 -0.047192 -0.043324 -0.038889 -0.034427 -0.032075 -0.030508   \n",
       "29 -0.053966 -0.048528 -0.044755 -0.040505 -0.036122 -0.033909 -0.032280   \n",
       "30 -0.053337 -0.047925 -0.044109 -0.039776 -0.035357 -0.033082 -0.031480   \n",
       "31 -0.050809 -0.045501 -0.041514 -0.036845 -0.032283 -0.029755 -0.028265   \n",
       "32 -0.051252 -0.045926 -0.041968 -0.037358 -0.032821 -0.030337 -0.028828   \n",
       "33 -0.050728 -0.045424 -0.041431 -0.036751 -0.032185 -0.029648 -0.028162   \n",
       "34 -0.051108 -0.045788 -0.041820 -0.037191 -0.032646 -0.030148 -0.028645   \n",
       "35 -0.053705 -0.048277 -0.044486 -0.040202 -0.035804 -0.033565 -0.031948   \n",
       "36 -0.052992 -0.047593 -0.043754 -0.039375 -0.034937 -0.032627 -0.031041   \n",
       "37 -0.053975 -0.048536 -0.044764 -0.040515 -0.036132 -0.033921 -0.032292   \n",
       "38 -0.051327 -0.045998 -0.042045 -0.037445 -0.032913 -0.030436 -0.028924   \n",
       "39 -0.053425 -0.048008 -0.044199 -0.039877 -0.035463 -0.033196 -0.031591   \n",
       "40 -0.057632 -0.052041 -0.048518 -0.044755 -0.040579 -0.038733 -0.036943   \n",
       "41 -0.055272 -0.049778 -0.046095 -0.042018 -0.037709 -0.035627 -0.033940   \n",
       "42 -0.053817 -0.048384 -0.044601 -0.040332 -0.035940 -0.033713 -0.032090   \n",
       "43 -0.051565 -0.046226 -0.042290 -0.037721 -0.033202 -0.030750 -0.029226   \n",
       "44 -0.055380 -0.049882 -0.046206 -0.042144 -0.037840 -0.035769 -0.034078   \n",
       "45 -0.055236 -0.049744 -0.046058 -0.041977 -0.037665 -0.035580 -0.033895   \n",
       "46 -0.055135 -0.049647 -0.045954 -0.041859 -0.037542 -0.035446 -0.033766   \n",
       "47 -0.053244 -0.047835 -0.044013 -0.039668 -0.035244 -0.032959 -0.031362   \n",
       "48 -0.055475 -0.049973 -0.046303 -0.042254 -0.037956 -0.035894 -0.034199   \n",
       "49 -0.056055 -0.050529 -0.046898 -0.042926 -0.038661 -0.036657 -0.034936   \n",
       "50 -0.053798 -0.048366 -0.044582 -0.040310 -0.035917 -0.033688 -0.032066   \n",
       "51 -0.055611 -0.050103 -0.046443 -0.042411 -0.038121 -0.036073 -0.034372   \n",
       "52 -0.054969 -0.049488 -0.045784 -0.041668 -0.037341 -0.035229 -0.033556   \n",
       "53 -0.050798 -0.045491 -0.041503 -0.036832 -0.032270 -0.029741 -0.028251   \n",
       "54 -0.052811 -0.047420 -0.043569 -0.039166 -0.034717 -0.032389 -0.030811   \n",
       "55 -0.052451 -0.047075 -0.043199 -0.038749 -0.034280 -0.031916 -0.030353   \n",
       "56 -0.052522 -0.047143 -0.043272 -0.038831 -0.034366 -0.032009 -0.030444   \n",
       "57 -0.054372 -0.048916 -0.045171 -0.040975 -0.036614 -0.034442 -0.032796   \n",
       "58 -0.056136 -0.050607 -0.046982 -0.043020 -0.038760 -0.036764 -0.035040   \n",
       "59 -0.053885 -0.048449 -0.044671 -0.040411 -0.036023 -0.033802 -0.032177   \n",
       "\n",
       "         7         8         9    ...       391       392       393       394  \\\n",
       "0  -0.033291 -0.036478 -0.039515  ...  1.204451  1.215202  1.236595  1.252604   \n",
       "1  -0.025859 -0.029614 -0.033164  ...  1.138479  1.157731  1.185653  1.220453   \n",
       "2  -0.027187 -0.030840 -0.034299  ...  1.150267  1.168000  1.194755  1.226198   \n",
       "3  -0.028219 -0.031793 -0.035181  ...  1.159429  1.175981  1.201830  1.230663   \n",
       "4  -0.036178 -0.039146 -0.041983  ...  1.230089  1.237536  1.256392  1.265098   \n",
       "5  -0.032020 -0.035305 -0.038430  ...  1.193176  1.205379  1.227888  1.247109   \n",
       "6  -0.035163 -0.038208 -0.041115  ...  1.221071  1.229680  1.249428  1.260703   \n",
       "7  -0.030556 -0.033952 -0.037178  ...  1.180173  1.194052  1.217848  1.240772   \n",
       "8  -0.034028 -0.037160 -0.040146  ...  1.211001  1.220908  1.241652  1.255795   \n",
       "9  -0.035401 -0.038427 -0.041319  ...  1.223184  1.231521  1.251060  1.261733   \n",
       "10 -0.038274 -0.041081 -0.043774  ...  1.248689  1.253740  1.270755  1.274162   \n",
       "11 -0.035722 -0.038724 -0.041593  ...  1.226037  1.234007  1.253263  1.263123   \n",
       "12 -0.030906 -0.034276 -0.037478  ...  1.183285  1.196763  1.220251  1.242289   \n",
       "13 -0.028123 -0.031705 -0.035099  ...  1.158577  1.175239  1.201172  1.230248   \n",
       "14 -0.024501 -0.028359 -0.032004  ...  1.126423  1.147228  1.176343  1.214578   \n",
       "15 -0.033677 -0.036835 -0.039846  ...  1.207884  1.218192  1.239245  1.254276   \n",
       "16 -0.034838 -0.037907 -0.040837  ...  1.218185  1.227166  1.247200  1.259297   \n",
       "17 -0.034250 -0.037365 -0.040336  ...  1.212973  1.222626  1.243175  1.256757   \n",
       "18 -0.031001 -0.034363 -0.037558  ...  1.184125  1.197495  1.220899  1.242698   \n",
       "19 -0.031032 -0.034392 -0.037585  ...  1.184404  1.197739  1.221115  1.242834   \n",
       "20 -0.033969 -0.037105 -0.040095  ...  1.210477  1.220452  1.241248  1.255540   \n",
       "21 -0.032566 -0.035809 -0.038896  ...  1.198017  1.209597  1.231627  1.249468   \n",
       "22 -0.032470 -0.035720 -0.038814  ...  1.197165  1.208855  1.230968  1.249053   \n",
       "23 -0.033121 -0.036322 -0.039371  ...  1.202949  1.213893  1.235435  1.251871   \n",
       "24 -0.032990 -0.036200 -0.039258  ...  1.201782  1.212877  1.234534  1.251303   \n",
       "25 -0.034430 -0.037531 -0.040489  ...  1.214564  1.224012  1.244404  1.257532   \n",
       "26 -0.033337 -0.036521 -0.039555  ...  1.204862  1.215560  1.236912  1.252804   \n",
       "27 -0.034119 -0.037244 -0.040223  ...  1.211808  1.221611  1.242276  1.256189   \n",
       "28 -0.033240 -0.036431 -0.039472  ...  1.204001  1.214810  1.236248  1.252384   \n",
       "29 -0.035082 -0.038133 -0.041046  ...  1.220355  1.229057  1.248876  1.260354   \n",
       "30 -0.034251 -0.037365 -0.040336  ...  1.212976  1.222628  1.243178  1.256758   \n",
       "31 -0.030909 -0.034279 -0.037480  ...  1.183311  1.196786  1.220271  1.242301   \n",
       "32 -0.031494 -0.034819 -0.037980  ...  1.188503  1.201309  1.224280  1.244832   \n",
       "33 -0.030802 -0.034180 -0.037389  ...  1.182361  1.195959  1.219538  1.241839   \n",
       "34 -0.031304 -0.034643 -0.037817  ...  1.186814  1.199838  1.222976  1.244008   \n",
       "35 -0.034736 -0.037814 -0.040751  ...  1.217285  1.226382  1.246505  1.258858   \n",
       "36 -0.033794 -0.036943 -0.039945  ...  1.208920  1.219096  1.240046  1.254782   \n",
       "37 -0.035094 -0.038144 -0.041056  ...  1.220458  1.229146  1.248955  1.260404   \n",
       "38 -0.031594 -0.034911 -0.038065  ...  1.189389  1.202081  1.224964  1.245263   \n",
       "39 -0.034366 -0.037472 -0.040434  ...  1.213999  1.223519  1.243967  1.257257   \n",
       "40 -0.039927 -0.042609 -0.045187  ...  1.263365  1.266525  1.282087  1.281315   \n",
       "41 -0.036807 -0.039727 -0.042520  ...  1.235669  1.242397  1.260701  1.267817   \n",
       "42 -0.034885 -0.037951 -0.040878  ...  1.218602  1.227530  1.247522  1.259500   \n",
       "43 -0.031909 -0.035202 -0.038334  ...  1.192182  1.204514  1.227121  1.246625   \n",
       "44 -0.036950 -0.039859 -0.042643  ...  1.236940  1.243505  1.261682  1.268437   \n",
       "45 -0.036760 -0.039683 -0.042480  ...  1.235249  1.242031  1.260376  1.267612   \n",
       "46 -0.036626 -0.039559 -0.042366  ...  1.234060  1.240996  1.259458  1.267033   \n",
       "47 -0.034128 -0.037251 -0.040231  ...  1.211882  1.221675  1.242333  1.256225   \n",
       "48 -0.037076 -0.039975 -0.042750  ...  1.238054  1.244475  1.262543  1.268980   \n",
       "49 -0.037842 -0.040683 -0.043405  ...  1.244858  1.250402  1.267796  1.272295   \n",
       "50 -0.034859 -0.037927 -0.040856  ...  1.218379  1.227335  1.247350  1.259391   \n",
       "51 -0.037255 -0.040141 -0.042903  ...  1.239646  1.245862  1.263772  1.269756   \n",
       "52 -0.036407 -0.039357 -0.042179  ...  1.232119  1.239305  1.257959  1.266087   \n",
       "53 -0.030895 -0.034266 -0.037468  ...  1.183187  1.196678  1.220175  1.242241   \n",
       "54 -0.033555 -0.036723 -0.039741  ...  1.206800  1.217248  1.238409  1.253748   \n",
       "55 -0.033080 -0.036283 -0.039335  ...  1.202579  1.213571  1.235149  1.251691   \n",
       "56 -0.033173 -0.036370 -0.039415  ...  1.203412  1.214297  1.235792  1.252097   \n",
       "57 -0.035617 -0.038628 -0.041504  ...  1.225108  1.233197  1.252546  1.262671   \n",
       "58 -0.037949 -0.040782 -0.043497  ...  1.245810  1.251232  1.268531  1.272759   \n",
       "59 -0.034974 -0.038034 -0.040954  ...  1.219399  1.228224  1.248137  1.259888   \n",
       "\n",
       "         395       396       397       398       399       400  \n",
       "0   1.262773  1.264311  1.231643  1.225628  1.219023  1.201453  \n",
       "1   1.250238  1.266876  1.210109  1.211712  1.218673  1.196055  \n",
       "2   1.252478  1.266418  1.213957  1.214199  1.218736  1.197020  \n",
       "3   1.254219  1.266062  1.216947  1.216131  1.218784  1.197769  \n",
       "4   1.267644  1.263315  1.240011  1.231036  1.219159  1.203551  \n",
       "5   1.260631  1.264750  1.227962  1.223250  1.218963  1.200531  \n",
       "6   1.265931  1.263665  1.237067  1.229134  1.219111  1.202813  \n",
       "7   1.258160  1.265255  1.223718  1.220507  1.218894  1.199467  \n",
       "8   1.264017  1.264057  1.233780  1.227010  1.219058  1.201989  \n",
       "9   1.266332  1.263583  1.237757  1.229579  1.219122  1.202986  \n",
       "10  1.271178  1.262591  1.246082  1.234959  1.219258  1.205073  \n",
       "11  1.266874  1.263472  1.238688  1.230181  1.219138  1.203220  \n",
       "12  1.258751  1.265134  1.224734  1.221163  1.218911  1.199721  \n",
       "13  1.254057  1.266095  1.216669  1.215951  1.218780  1.197700  \n",
       "14  1.247947  1.267345  1.206174  1.209169  1.218610  1.195069  \n",
       "15  1.263425  1.264178  1.232763  1.226352  1.219041  1.201734  \n",
       "16  1.265383  1.263777  1.236125  1.228525  1.219096  1.202577  \n",
       "17  1.264392  1.263980  1.234424  1.227426  1.219068  1.202151  \n",
       "18  1.258911  1.265102  1.225008  1.221340  1.218915  1.199790  \n",
       "19  1.258964  1.265091  1.225099  1.221399  1.218917  1.199813  \n",
       "20  1.263918  1.264077  1.233609  1.226899  1.219055  1.201946  \n",
       "21  1.261551  1.264561  1.229543  1.224271  1.218989  1.200927  \n",
       "22  1.261389  1.264595  1.229264  1.224091  1.218985  1.200857  \n",
       "23  1.262488  1.264370  1.231152  1.225311  1.219015  1.201330  \n",
       "24  1.262266  1.264415  1.230771  1.225065  1.219009  1.201235  \n",
       "25  1.264694  1.263918  1.234943  1.227761  1.219077  1.202281  \n",
       "26  1.262851  1.264295  1.231777  1.225715  1.219025  1.201487  \n",
       "27  1.264171  1.264025  1.234044  1.227180  1.219062  1.202055  \n",
       "28  1.262688  1.264329  1.231496  1.225533  1.219021  1.201417  \n",
       "29  1.265795  1.263693  1.236834  1.228983  1.219107  1.202755  \n",
       "30  1.264393  1.263980  1.234425  1.227426  1.219068  1.202151  \n",
       "31  1.258756  1.265133  1.224742  1.221169  1.218911  1.199724  \n",
       "32  1.259743  1.264931  1.226437  1.222264  1.218939  1.200148  \n",
       "33  1.258576  1.265170  1.224432  1.220968  1.218906  1.199646  \n",
       "34  1.259422  1.264997  1.225886  1.221908  1.218930  1.200010  \n",
       "35  1.265212  1.263812  1.235831  1.228335  1.219091  1.202503  \n",
       "36  1.263622  1.264138  1.233101  1.226571  1.219047  1.201819  \n",
       "37  1.265814  1.263689  1.236867  1.229004  1.219108  1.202763  \n",
       "38  1.259911  1.264897  1.226726  1.222451  1.218943  1.200221  \n",
       "39  1.264587  1.263940  1.234759  1.227642  1.219074  1.202235  \n",
       "40  1.273967  1.262021  1.250872  1.238055  1.219336  1.206274  \n",
       "41  1.268705  1.263098  1.241832  1.232213  1.219189  1.204008  \n",
       "42  1.265462  1.263761  1.236262  1.228613  1.219098  1.202611  \n",
       "43  1.260442  1.264788  1.227638  1.223040  1.218958  1.200449  \n",
       "44  1.268946  1.263048  1.242247  1.232481  1.219195  1.204112  \n",
       "45  1.268625  1.263114  1.241695  1.232124  1.219186  1.203973  \n",
       "46  1.268399  1.263160  1.241307  1.231874  1.219180  1.203876  \n",
       "47  1.264185  1.264022  1.234068  1.227195  1.219063  1.202061  \n",
       "48  1.269158  1.263005  1.242611  1.232716  1.219201  1.204203  \n",
       "49  1.270451  1.262740  1.244831  1.234151  1.219237  1.204760  \n",
       "50  1.265419  1.263770  1.236188  1.228566  1.219097  1.202593  \n",
       "51  1.269460  1.262943  1.243130  1.233052  1.219210  1.204333  \n",
       "52  1.268030  1.263236  1.240673  1.231464  1.219170  1.203717  \n",
       "53  1.258733  1.265138  1.224702  1.221143  1.218910  1.199713  \n",
       "54  1.263219  1.264220  1.232409  1.226123  1.219036  1.201646  \n",
       "55  1.262417  1.264384  1.231031  1.225233  1.219013  1.201300  \n",
       "56  1.262576  1.264352  1.231303  1.225409  1.219018  1.201368  \n",
       "57  1.266698  1.263508  1.238385  1.229985  1.219133  1.203144  \n",
       "58  1.270631  1.262703  1.245142  1.234352  1.219242  1.204838  \n",
       "59  1.265613  1.263730  1.236522  1.228781  1.219102  1.202676  \n",
       "\n",
       "[60 rows x 401 columns]"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get calibrated predicted X for a given number of components\n",
    "\n",
    "# Predicted X from calibration using 1 component\n",
    "X_from_1_component = model.X_predCal()[1]\n",
    "\n",
    "# Predicted X from calibration using 1 component stored in pandas data frame with row and columns names\n",
    "X_from_1_component_df = pd.DataFrame(model.X_predCal()[1])\n",
    "#X_from_1_component_df.index = data_objNames\n",
    "#X_from_1_component_df.columns = data_varNames\n",
    "X_from_1_component_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>391</th>\n",
       "      <th>392</th>\n",
       "      <th>393</th>\n",
       "      <th>394</th>\n",
       "      <th>395</th>\n",
       "      <th>396</th>\n",
       "      <th>397</th>\n",
       "      <th>398</th>\n",
       "      <th>399</th>\n",
       "      <th>400</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.049217</td>\n",
       "      <td>-0.044208</td>\n",
       "      <td>-0.040459</td>\n",
       "      <td>-0.036228</td>\n",
       "      <td>-0.032200</td>\n",
       "      <td>-0.029951</td>\n",
       "      <td>-0.028881</td>\n",
       "      <td>-0.031010</td>\n",
       "      <td>-0.033717</td>\n",
       "      <td>-0.035878</td>\n",
       "      <td>...</td>\n",
       "      <td>1.216216</td>\n",
       "      <td>1.221437</td>\n",
       "      <td>1.241732</td>\n",
       "      <td>1.266374</td>\n",
       "      <td>1.277662</td>\n",
       "      <td>1.275531</td>\n",
       "      <td>1.232244</td>\n",
       "      <td>1.226915</td>\n",
       "      <td>1.237562</td>\n",
       "      <td>1.211225</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.044544</td>\n",
       "      <td>-0.039557</td>\n",
       "      <td>-0.035341</td>\n",
       "      <td>-0.030179</td>\n",
       "      <td>-0.025638</td>\n",
       "      <td>-0.022752</td>\n",
       "      <td>-0.021652</td>\n",
       "      <td>-0.023856</td>\n",
       "      <td>-0.027477</td>\n",
       "      <td>-0.030764</td>\n",
       "      <td>...</td>\n",
       "      <td>1.144941</td>\n",
       "      <td>1.161052</td>\n",
       "      <td>1.188410</td>\n",
       "      <td>1.228494</td>\n",
       "      <td>1.260175</td>\n",
       "      <td>1.273923</td>\n",
       "      <td>1.210722</td>\n",
       "      <td>1.212050</td>\n",
       "      <td>1.228533</td>\n",
       "      <td>1.201700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.045507</td>\n",
       "      <td>-0.040074</td>\n",
       "      <td>-0.035713</td>\n",
       "      <td>-0.030151</td>\n",
       "      <td>-0.025429</td>\n",
       "      <td>-0.022428</td>\n",
       "      <td>-0.020867</td>\n",
       "      <td>-0.023719</td>\n",
       "      <td>-0.028141</td>\n",
       "      <td>-0.032704</td>\n",
       "      <td>...</td>\n",
       "      <td>1.150982</td>\n",
       "      <td>1.169166</td>\n",
       "      <td>1.197388</td>\n",
       "      <td>1.232531</td>\n",
       "      <td>1.269147</td>\n",
       "      <td>1.279560</td>\n",
       "      <td>1.224703</td>\n",
       "      <td>1.220443</td>\n",
       "      <td>1.222934</td>\n",
       "      <td>1.205696</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.046226</td>\n",
       "      <td>-0.041404</td>\n",
       "      <td>-0.037432</td>\n",
       "      <td>-0.032811</td>\n",
       "      <td>-0.028521</td>\n",
       "      <td>-0.025936</td>\n",
       "      <td>-0.025014</td>\n",
       "      <td>-0.026945</td>\n",
       "      <td>-0.029870</td>\n",
       "      <td>-0.032196</td>\n",
       "      <td>...</td>\n",
       "      <td>1.169635</td>\n",
       "      <td>1.180859</td>\n",
       "      <td>1.205033</td>\n",
       "      <td>1.240457</td>\n",
       "      <td>1.261469</td>\n",
       "      <td>1.270659</td>\n",
       "      <td>1.212434</td>\n",
       "      <td>1.213659</td>\n",
       "      <td>1.232900</td>\n",
       "      <td>1.202531</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.047712</td>\n",
       "      <td>-0.042377</td>\n",
       "      <td>-0.038599</td>\n",
       "      <td>-0.034110</td>\n",
       "      <td>-0.030232</td>\n",
       "      <td>-0.028029</td>\n",
       "      <td>-0.026591</td>\n",
       "      <td>-0.029272</td>\n",
       "      <td>-0.032502</td>\n",
       "      <td>-0.035692</td>\n",
       "      <td>...</td>\n",
       "      <td>1.242768</td>\n",
       "      <td>1.243682</td>\n",
       "      <td>1.261636</td>\n",
       "      <td>1.282885</td>\n",
       "      <td>1.294388</td>\n",
       "      <td>1.280938</td>\n",
       "      <td>1.242653</td>\n",
       "      <td>1.230501</td>\n",
       "      <td>1.237377</td>\n",
       "      <td>1.215958</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>-0.046483</td>\n",
       "      <td>-0.041511</td>\n",
       "      <td>-0.037657</td>\n",
       "      <td>-0.033154</td>\n",
       "      <td>-0.029168</td>\n",
       "      <td>-0.026779</td>\n",
       "      <td>-0.025780</td>\n",
       "      <td>-0.027866</td>\n",
       "      <td>-0.030835</td>\n",
       "      <td>-0.033302</td>\n",
       "      <td>...</td>\n",
       "      <td>1.207772</td>\n",
       "      <td>1.213222</td>\n",
       "      <td>1.234754</td>\n",
       "      <td>1.265822</td>\n",
       "      <td>1.284060</td>\n",
       "      <td>1.282216</td>\n",
       "      <td>1.231405</td>\n",
       "      <td>1.226009</td>\n",
       "      <td>1.242443</td>\n",
       "      <td>1.214737</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.048891</td>\n",
       "      <td>-0.043434</td>\n",
       "      <td>-0.039582</td>\n",
       "      <td>-0.034988</td>\n",
       "      <td>-0.030831</td>\n",
       "      <td>-0.028549</td>\n",
       "      <td>-0.026863</td>\n",
       "      <td>-0.029822</td>\n",
       "      <td>-0.033208</td>\n",
       "      <td>-0.036772</td>\n",
       "      <td>...</td>\n",
       "      <td>1.226850</td>\n",
       "      <td>1.231265</td>\n",
       "      <td>1.249724</td>\n",
       "      <td>1.267735</td>\n",
       "      <td>1.277433</td>\n",
       "      <td>1.268032</td>\n",
       "      <td>1.232173</td>\n",
       "      <td>1.222100</td>\n",
       "      <td>1.223172</td>\n",
       "      <td>1.204262</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>-0.048777</td>\n",
       "      <td>-0.043276</td>\n",
       "      <td>-0.039132</td>\n",
       "      <td>-0.034031</td>\n",
       "      <td>-0.029424</td>\n",
       "      <td>-0.026727</td>\n",
       "      <td>-0.025050</td>\n",
       "      <td>-0.028003</td>\n",
       "      <td>-0.031986</td>\n",
       "      <td>-0.036105</td>\n",
       "      <td>...</td>\n",
       "      <td>1.179737</td>\n",
       "      <td>1.194083</td>\n",
       "      <td>1.218740</td>\n",
       "      <td>1.243636</td>\n",
       "      <td>1.267786</td>\n",
       "      <td>1.272233</td>\n",
       "      <td>1.229436</td>\n",
       "      <td>1.223080</td>\n",
       "      <td>1.219333</td>\n",
       "      <td>1.203519</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-0.048676</td>\n",
       "      <td>-0.043200</td>\n",
       "      <td>-0.039281</td>\n",
       "      <td>-0.034568</td>\n",
       "      <td>-0.030280</td>\n",
       "      <td>-0.027911</td>\n",
       "      <td>-0.026159</td>\n",
       "      <td>-0.029193</td>\n",
       "      <td>-0.032695</td>\n",
       "      <td>-0.036454</td>\n",
       "      <td>...</td>\n",
       "      <td>1.214328</td>\n",
       "      <td>1.220826</td>\n",
       "      <td>1.240104</td>\n",
       "      <td>1.258933</td>\n",
       "      <td>1.269977</td>\n",
       "      <td>1.263508</td>\n",
       "      <td>1.225934</td>\n",
       "      <td>1.217400</td>\n",
       "      <td>1.217926</td>\n",
       "      <td>1.199350</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-0.049455</td>\n",
       "      <td>-0.044022</td>\n",
       "      <td>-0.040217</td>\n",
       "      <td>-0.035745</td>\n",
       "      <td>-0.031574</td>\n",
       "      <td>-0.029355</td>\n",
       "      <td>-0.027636</td>\n",
       "      <td>-0.030609</td>\n",
       "      <td>-0.033820</td>\n",
       "      <td>-0.037224</td>\n",
       "      <td>...</td>\n",
       "      <td>1.227896</td>\n",
       "      <td>1.231785</td>\n",
       "      <td>1.249241</td>\n",
       "      <td>1.265124</td>\n",
       "      <td>1.270558</td>\n",
       "      <td>1.261033</td>\n",
       "      <td>1.226591</td>\n",
       "      <td>1.217574</td>\n",
       "      <td>1.218749</td>\n",
       "      <td>1.199011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>-0.050912</td>\n",
       "      <td>-0.045547</td>\n",
       "      <td>-0.041953</td>\n",
       "      <td>-0.037907</td>\n",
       "      <td>-0.034005</td>\n",
       "      <td>-0.032060</td>\n",
       "      <td>-0.030449</td>\n",
       "      <td>-0.033268</td>\n",
       "      <td>-0.035999</td>\n",
       "      <td>-0.038749</td>\n",
       "      <td>...</td>\n",
       "      <td>1.257324</td>\n",
       "      <td>1.256125</td>\n",
       "      <td>1.270627</td>\n",
       "      <td>1.281708</td>\n",
       "      <td>1.278878</td>\n",
       "      <td>1.262914</td>\n",
       "      <td>1.234663</td>\n",
       "      <td>1.223447</td>\n",
       "      <td>1.225182</td>\n",
       "      <td>1.203974</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>-0.049185</td>\n",
       "      <td>-0.043889</td>\n",
       "      <td>-0.040129</td>\n",
       "      <td>-0.035748</td>\n",
       "      <td>-0.031780</td>\n",
       "      <td>-0.029582</td>\n",
       "      <td>-0.028192</td>\n",
       "      <td>-0.030779</td>\n",
       "      <td>-0.033874</td>\n",
       "      <td>-0.036798</td>\n",
       "      <td>...</td>\n",
       "      <td>1.236840</td>\n",
       "      <td>1.239557</td>\n",
       "      <td>1.258195</td>\n",
       "      <td>1.278175</td>\n",
       "      <td>1.288623</td>\n",
       "      <td>1.278632</td>\n",
       "      <td>1.241975</td>\n",
       "      <td>1.231335</td>\n",
       "      <td>1.235727</td>\n",
       "      <td>1.214449</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>-0.049469</td>\n",
       "      <td>-0.044121</td>\n",
       "      <td>-0.040051</td>\n",
       "      <td>-0.035142</td>\n",
       "      <td>-0.030695</td>\n",
       "      <td>-0.028053</td>\n",
       "      <td>-0.026702</td>\n",
       "      <td>-0.029248</td>\n",
       "      <td>-0.032990</td>\n",
       "      <td>-0.036464</td>\n",
       "      <td>...</td>\n",
       "      <td>1.187606</td>\n",
       "      <td>1.201255</td>\n",
       "      <td>1.226901</td>\n",
       "      <td>1.254134</td>\n",
       "      <td>1.280911</td>\n",
       "      <td>1.286060</td>\n",
       "      <td>1.242809</td>\n",
       "      <td>1.235709</td>\n",
       "      <td>1.233727</td>\n",
       "      <td>1.216327</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>-0.047169</td>\n",
       "      <td>-0.041698</td>\n",
       "      <td>-0.037451</td>\n",
       "      <td>-0.032165</td>\n",
       "      <td>-0.027335</td>\n",
       "      <td>-0.024510</td>\n",
       "      <td>-0.022670</td>\n",
       "      <td>-0.025793</td>\n",
       "      <td>-0.029838</td>\n",
       "      <td>-0.034275</td>\n",
       "      <td>...</td>\n",
       "      <td>1.153730</td>\n",
       "      <td>1.170487</td>\n",
       "      <td>1.195161</td>\n",
       "      <td>1.221972</td>\n",
       "      <td>1.244544</td>\n",
       "      <td>1.253482</td>\n",
       "      <td>1.204532</td>\n",
       "      <td>1.202990</td>\n",
       "      <td>1.203483</td>\n",
       "      <td>1.185375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>-0.045237</td>\n",
       "      <td>-0.039679</td>\n",
       "      <td>-0.035121</td>\n",
       "      <td>-0.029185</td>\n",
       "      <td>-0.024101</td>\n",
       "      <td>-0.020851</td>\n",
       "      <td>-0.019069</td>\n",
       "      <td>-0.022193</td>\n",
       "      <td>-0.027062</td>\n",
       "      <td>-0.032319</td>\n",
       "      <td>...</td>\n",
       "      <td>1.120176</td>\n",
       "      <td>1.144253</td>\n",
       "      <td>1.175030</td>\n",
       "      <td>1.211731</td>\n",
       "      <td>1.253533</td>\n",
       "      <td>1.271157</td>\n",
       "      <td>1.213407</td>\n",
       "      <td>1.211894</td>\n",
       "      <td>1.210217</td>\n",
       "      <td>1.195693</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>-0.049983</td>\n",
       "      <td>-0.044933</td>\n",
       "      <td>-0.041144</td>\n",
       "      <td>-0.036825</td>\n",
       "      <td>-0.032866</td>\n",
       "      <td>-0.030549</td>\n",
       "      <td>-0.029664</td>\n",
       "      <td>-0.031612</td>\n",
       "      <td>-0.034570</td>\n",
       "      <td>-0.036725</td>\n",
       "      <td>...</td>\n",
       "      <td>1.222637</td>\n",
       "      <td>1.229205</td>\n",
       "      <td>1.252197</td>\n",
       "      <td>1.279387</td>\n",
       "      <td>1.299914</td>\n",
       "      <td>1.298418</td>\n",
       "      <td>1.256599</td>\n",
       "      <td>1.247647</td>\n",
       "      <td>1.253774</td>\n",
       "      <td>1.230636</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-0.050628</td>\n",
       "      <td>-0.045204</td>\n",
       "      <td>-0.041395</td>\n",
       "      <td>-0.036972</td>\n",
       "      <td>-0.032689</td>\n",
       "      <td>-0.030455</td>\n",
       "      <td>-0.028729</td>\n",
       "      <td>-0.031681</td>\n",
       "      <td>-0.034829</td>\n",
       "      <td>-0.038117</td>\n",
       "      <td>...</td>\n",
       "      <td>1.220413</td>\n",
       "      <td>1.226235</td>\n",
       "      <td>1.244316</td>\n",
       "      <td>1.258943</td>\n",
       "      <td>1.263519</td>\n",
       "      <td>1.257240</td>\n",
       "      <td>1.224112</td>\n",
       "      <td>1.216579</td>\n",
       "      <td>1.215167</td>\n",
       "      <td>1.195905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>-0.052457</td>\n",
       "      <td>-0.046901</td>\n",
       "      <td>-0.043022</td>\n",
       "      <td>-0.038502</td>\n",
       "      <td>-0.033993</td>\n",
       "      <td>-0.031673</td>\n",
       "      <td>-0.029806</td>\n",
       "      <td>-0.032923</td>\n",
       "      <td>-0.036289</td>\n",
       "      <td>-0.039858</td>\n",
       "      <td>...</td>\n",
       "      <td>1.209971</td>\n",
       "      <td>1.219609</td>\n",
       "      <td>1.239274</td>\n",
       "      <td>1.251314</td>\n",
       "      <td>1.257654</td>\n",
       "      <td>1.255415</td>\n",
       "      <td>1.226180</td>\n",
       "      <td>1.218891</td>\n",
       "      <td>1.209320</td>\n",
       "      <td>1.193980</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>-0.053565</td>\n",
       "      <td>-0.048289</td>\n",
       "      <td>-0.044368</td>\n",
       "      <td>-0.039937</td>\n",
       "      <td>-0.035271</td>\n",
       "      <td>-0.032810</td>\n",
       "      <td>-0.031355</td>\n",
       "      <td>-0.033901</td>\n",
       "      <td>-0.037007</td>\n",
       "      <td>-0.039772</td>\n",
       "      <td>...</td>\n",
       "      <td>1.181175</td>\n",
       "      <td>1.196416</td>\n",
       "      <td>1.220149</td>\n",
       "      <td>1.238202</td>\n",
       "      <td>1.250754</td>\n",
       "      <td>1.260654</td>\n",
       "      <td>1.225209</td>\n",
       "      <td>1.223175</td>\n",
       "      <td>1.215855</td>\n",
       "      <td>1.197370</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>-0.052410</td>\n",
       "      <td>-0.046816</td>\n",
       "      <td>-0.042709</td>\n",
       "      <td>-0.037779</td>\n",
       "      <td>-0.032988</td>\n",
       "      <td>-0.030339</td>\n",
       "      <td>-0.028565</td>\n",
       "      <td>-0.031593</td>\n",
       "      <td>-0.035490</td>\n",
       "      <td>-0.039456</td>\n",
       "      <td>...</td>\n",
       "      <td>1.178599</td>\n",
       "      <td>1.195734</td>\n",
       "      <td>1.220935</td>\n",
       "      <td>1.239513</td>\n",
       "      <td>1.260283</td>\n",
       "      <td>1.268094</td>\n",
       "      <td>1.233737</td>\n",
       "      <td>1.227682</td>\n",
       "      <td>1.213680</td>\n",
       "      <td>1.201519</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>-0.055743</td>\n",
       "      <td>-0.050307</td>\n",
       "      <td>-0.046503</td>\n",
       "      <td>-0.042278</td>\n",
       "      <td>-0.037702</td>\n",
       "      <td>-0.035430</td>\n",
       "      <td>-0.033806</td>\n",
       "      <td>-0.036565</td>\n",
       "      <td>-0.039596</td>\n",
       "      <td>-0.042389</td>\n",
       "      <td>...</td>\n",
       "      <td>1.206625</td>\n",
       "      <td>1.219006</td>\n",
       "      <td>1.240435</td>\n",
       "      <td>1.250775</td>\n",
       "      <td>1.256879</td>\n",
       "      <td>1.260553</td>\n",
       "      <td>1.235295</td>\n",
       "      <td>1.229514</td>\n",
       "      <td>1.215010</td>\n",
       "      <td>1.199932</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>-0.046118</td>\n",
       "      <td>-0.040893</td>\n",
       "      <td>-0.036953</td>\n",
       "      <td>-0.032195</td>\n",
       "      <td>-0.028088</td>\n",
       "      <td>-0.025643</td>\n",
       "      <td>-0.024280</td>\n",
       "      <td>-0.026852</td>\n",
       "      <td>-0.030248</td>\n",
       "      <td>-0.033575</td>\n",
       "      <td>...</td>\n",
       "      <td>1.208437</td>\n",
       "      <td>1.214244</td>\n",
       "      <td>1.235101</td>\n",
       "      <td>1.263031</td>\n",
       "      <td>1.281074</td>\n",
       "      <td>1.276361</td>\n",
       "      <td>1.228706</td>\n",
       "      <td>1.221319</td>\n",
       "      <td>1.232504</td>\n",
       "      <td>1.208947</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>-0.054489</td>\n",
       "      <td>-0.049029</td>\n",
       "      <td>-0.045118</td>\n",
       "      <td>-0.040663</td>\n",
       "      <td>-0.035970</td>\n",
       "      <td>-0.033561</td>\n",
       "      <td>-0.031873</td>\n",
       "      <td>-0.034724</td>\n",
       "      <td>-0.037990</td>\n",
       "      <td>-0.041143</td>\n",
       "      <td>...</td>\n",
       "      <td>1.191728</td>\n",
       "      <td>1.206156</td>\n",
       "      <td>1.228732</td>\n",
       "      <td>1.241971</td>\n",
       "      <td>1.251801</td>\n",
       "      <td>1.258109</td>\n",
       "      <td>1.228660</td>\n",
       "      <td>1.224190</td>\n",
       "      <td>1.210994</td>\n",
       "      <td>1.195989</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>-0.054899</td>\n",
       "      <td>-0.049380</td>\n",
       "      <td>-0.045469</td>\n",
       "      <td>-0.040998</td>\n",
       "      <td>-0.036333</td>\n",
       "      <td>-0.033933</td>\n",
       "      <td>-0.032231</td>\n",
       "      <td>-0.035117</td>\n",
       "      <td>-0.038477</td>\n",
       "      <td>-0.041721</td>\n",
       "      <td>...</td>\n",
       "      <td>1.197903</td>\n",
       "      <td>1.212104</td>\n",
       "      <td>1.234872</td>\n",
       "      <td>1.247331</td>\n",
       "      <td>1.258463</td>\n",
       "      <td>1.263449</td>\n",
       "      <td>1.236151</td>\n",
       "      <td>1.229912</td>\n",
       "      <td>1.214189</td>\n",
       "      <td>1.200849</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>-0.054884</td>\n",
       "      <td>-0.049437</td>\n",
       "      <td>-0.045549</td>\n",
       "      <td>-0.041142</td>\n",
       "      <td>-0.036522</td>\n",
       "      <td>-0.034136</td>\n",
       "      <td>-0.032543</td>\n",
       "      <td>-0.035287</td>\n",
       "      <td>-0.038538</td>\n",
       "      <td>-0.041547</td>\n",
       "      <td>...</td>\n",
       "      <td>1.198230</td>\n",
       "      <td>1.212216</td>\n",
       "      <td>1.235208</td>\n",
       "      <td>1.248827</td>\n",
       "      <td>1.260377</td>\n",
       "      <td>1.265971</td>\n",
       "      <td>1.237560</td>\n",
       "      <td>1.231717</td>\n",
       "      <td>1.217714</td>\n",
       "      <td>1.203180</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>-0.052436</td>\n",
       "      <td>-0.046889</td>\n",
       "      <td>-0.042984</td>\n",
       "      <td>-0.038393</td>\n",
       "      <td>-0.033985</td>\n",
       "      <td>-0.031611</td>\n",
       "      <td>-0.029942</td>\n",
       "      <td>-0.032856</td>\n",
       "      <td>-0.036386</td>\n",
       "      <td>-0.039888</td>\n",
       "      <td>...</td>\n",
       "      <td>1.215306</td>\n",
       "      <td>1.225408</td>\n",
       "      <td>1.247113</td>\n",
       "      <td>1.262561</td>\n",
       "      <td>1.276645</td>\n",
       "      <td>1.274526</td>\n",
       "      <td>1.244620</td>\n",
       "      <td>1.234648</td>\n",
       "      <td>1.223967</td>\n",
       "      <td>1.210019</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>-0.053618</td>\n",
       "      <td>-0.048273</td>\n",
       "      <td>-0.044457</td>\n",
       "      <td>-0.040176</td>\n",
       "      <td>-0.035673</td>\n",
       "      <td>-0.033385</td>\n",
       "      <td>-0.031803</td>\n",
       "      <td>-0.034516</td>\n",
       "      <td>-0.037494</td>\n",
       "      <td>-0.040290</td>\n",
       "      <td>...</td>\n",
       "      <td>1.203250</td>\n",
       "      <td>1.214135</td>\n",
       "      <td>1.234839</td>\n",
       "      <td>1.248495</td>\n",
       "      <td>1.254371</td>\n",
       "      <td>1.257008</td>\n",
       "      <td>1.226129</td>\n",
       "      <td>1.221642</td>\n",
       "      <td>1.214363</td>\n",
       "      <td>1.196032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>-0.055019</td>\n",
       "      <td>-0.049715</td>\n",
       "      <td>-0.045955</td>\n",
       "      <td>-0.041817</td>\n",
       "      <td>-0.037407</td>\n",
       "      <td>-0.035169</td>\n",
       "      <td>-0.033775</td>\n",
       "      <td>-0.036258</td>\n",
       "      <td>-0.039133</td>\n",
       "      <td>-0.041543</td>\n",
       "      <td>...</td>\n",
       "      <td>1.212673</td>\n",
       "      <td>1.223453</td>\n",
       "      <td>1.245074</td>\n",
       "      <td>1.258615</td>\n",
       "      <td>1.266653</td>\n",
       "      <td>1.269418</td>\n",
       "      <td>1.241291</td>\n",
       "      <td>1.235067</td>\n",
       "      <td>1.225264</td>\n",
       "      <td>1.207770</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>-0.054950</td>\n",
       "      <td>-0.049574</td>\n",
       "      <td>-0.045737</td>\n",
       "      <td>-0.041449</td>\n",
       "      <td>-0.036892</td>\n",
       "      <td>-0.034564</td>\n",
       "      <td>-0.033045</td>\n",
       "      <td>-0.035683</td>\n",
       "      <td>-0.038751</td>\n",
       "      <td>-0.041494</td>\n",
       "      <td>...</td>\n",
       "      <td>1.201748</td>\n",
       "      <td>1.214653</td>\n",
       "      <td>1.237021</td>\n",
       "      <td>1.250525</td>\n",
       "      <td>1.259979</td>\n",
       "      <td>1.265013</td>\n",
       "      <td>1.236383</td>\n",
       "      <td>1.231023</td>\n",
       "      <td>1.219077</td>\n",
       "      <td>1.202975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>-0.055630</td>\n",
       "      <td>-0.050264</td>\n",
       "      <td>-0.046523</td>\n",
       "      <td>-0.042403</td>\n",
       "      <td>-0.038046</td>\n",
       "      <td>-0.035839</td>\n",
       "      <td>-0.034440</td>\n",
       "      <td>-0.036948</td>\n",
       "      <td>-0.039888</td>\n",
       "      <td>-0.042343</td>\n",
       "      <td>...</td>\n",
       "      <td>1.221956</td>\n",
       "      <td>1.232104</td>\n",
       "      <td>1.253725</td>\n",
       "      <td>1.265979</td>\n",
       "      <td>1.274830</td>\n",
       "      <td>1.275643</td>\n",
       "      <td>1.250485</td>\n",
       "      <td>1.242098</td>\n",
       "      <td>1.229421</td>\n",
       "      <td>1.213705</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>-0.055292</td>\n",
       "      <td>-0.049926</td>\n",
       "      <td>-0.046141</td>\n",
       "      <td>-0.041941</td>\n",
       "      <td>-0.037504</td>\n",
       "      <td>-0.035239</td>\n",
       "      <td>-0.033804</td>\n",
       "      <td>-0.036351</td>\n",
       "      <td>-0.039356</td>\n",
       "      <td>-0.041927</td>\n",
       "      <td>...</td>\n",
       "      <td>1.213188</td>\n",
       "      <td>1.224584</td>\n",
       "      <td>1.246683</td>\n",
       "      <td>1.259829</td>\n",
       "      <td>1.269511</td>\n",
       "      <td>1.272243</td>\n",
       "      <td>1.245355</td>\n",
       "      <td>1.238175</td>\n",
       "      <td>1.225910</td>\n",
       "      <td>1.210031</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>-0.054476</td>\n",
       "      <td>-0.049336</td>\n",
       "      <td>-0.045470</td>\n",
       "      <td>-0.041212</td>\n",
       "      <td>-0.036620</td>\n",
       "      <td>-0.034195</td>\n",
       "      <td>-0.032995</td>\n",
       "      <td>-0.035207</td>\n",
       "      <td>-0.038080</td>\n",
       "      <td>-0.040275</td>\n",
       "      <td>...</td>\n",
       "      <td>1.183002</td>\n",
       "      <td>1.198508</td>\n",
       "      <td>1.223213</td>\n",
       "      <td>1.242759</td>\n",
       "      <td>1.256724</td>\n",
       "      <td>1.268739</td>\n",
       "      <td>1.232985</td>\n",
       "      <td>1.231347</td>\n",
       "      <td>1.224944</td>\n",
       "      <td>1.205041</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>-0.056745</td>\n",
       "      <td>-0.051513</td>\n",
       "      <td>-0.047688</td>\n",
       "      <td>-0.043566</td>\n",
       "      <td>-0.038829</td>\n",
       "      <td>-0.036474</td>\n",
       "      <td>-0.035087</td>\n",
       "      <td>-0.037490</td>\n",
       "      <td>-0.040261</td>\n",
       "      <td>-0.042461</td>\n",
       "      <td>...</td>\n",
       "      <td>1.183161</td>\n",
       "      <td>1.199681</td>\n",
       "      <td>1.223452</td>\n",
       "      <td>1.236820</td>\n",
       "      <td>1.244654</td>\n",
       "      <td>1.257530</td>\n",
       "      <td>1.228217</td>\n",
       "      <td>1.227351</td>\n",
       "      <td>1.214524</td>\n",
       "      <td>1.196719</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>-0.053850</td>\n",
       "      <td>-0.048732</td>\n",
       "      <td>-0.044871</td>\n",
       "      <td>-0.040612</td>\n",
       "      <td>-0.036035</td>\n",
       "      <td>-0.033620</td>\n",
       "      <td>-0.032399</td>\n",
       "      <td>-0.034634</td>\n",
       "      <td>-0.037464</td>\n",
       "      <td>-0.039672</td>\n",
       "      <td>...</td>\n",
       "      <td>1.182267</td>\n",
       "      <td>1.197075</td>\n",
       "      <td>1.221158</td>\n",
       "      <td>1.241030</td>\n",
       "      <td>1.253596</td>\n",
       "      <td>1.264960</td>\n",
       "      <td>1.227837</td>\n",
       "      <td>1.226829</td>\n",
       "      <td>1.222708</td>\n",
       "      <td>1.201669</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>-0.054311</td>\n",
       "      <td>-0.049203</td>\n",
       "      <td>-0.045356</td>\n",
       "      <td>-0.041121</td>\n",
       "      <td>-0.036629</td>\n",
       "      <td>-0.034217</td>\n",
       "      <td>-0.033133</td>\n",
       "      <td>-0.035219</td>\n",
       "      <td>-0.038082</td>\n",
       "      <td>-0.040143</td>\n",
       "      <td>...</td>\n",
       "      <td>1.189219</td>\n",
       "      <td>1.203909</td>\n",
       "      <td>1.228977</td>\n",
       "      <td>1.249965</td>\n",
       "      <td>1.266177</td>\n",
       "      <td>1.277122</td>\n",
       "      <td>1.240971</td>\n",
       "      <td>1.238028</td>\n",
       "      <td>1.232520</td>\n",
       "      <td>1.212425</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>-0.054467</td>\n",
       "      <td>-0.048932</td>\n",
       "      <td>-0.045104</td>\n",
       "      <td>-0.040746</td>\n",
       "      <td>-0.036236</td>\n",
       "      <td>-0.033964</td>\n",
       "      <td>-0.032208</td>\n",
       "      <td>-0.035169</td>\n",
       "      <td>-0.038403</td>\n",
       "      <td>-0.041615</td>\n",
       "      <td>...</td>\n",
       "      <td>1.214262</td>\n",
       "      <td>1.224794</td>\n",
       "      <td>1.245245</td>\n",
       "      <td>1.255513</td>\n",
       "      <td>1.261969</td>\n",
       "      <td>1.261351</td>\n",
       "      <td>1.236001</td>\n",
       "      <td>1.228149</td>\n",
       "      <td>1.214389</td>\n",
       "      <td>1.200242</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>-0.053001</td>\n",
       "      <td>-0.047885</td>\n",
       "      <td>-0.044136</td>\n",
       "      <td>-0.039990</td>\n",
       "      <td>-0.035825</td>\n",
       "      <td>-0.033563</td>\n",
       "      <td>-0.032529</td>\n",
       "      <td>-0.034602</td>\n",
       "      <td>-0.037404</td>\n",
       "      <td>-0.039426</td>\n",
       "      <td>...</td>\n",
       "      <td>1.217538</td>\n",
       "      <td>1.226486</td>\n",
       "      <td>1.249202</td>\n",
       "      <td>1.270004</td>\n",
       "      <td>1.284545</td>\n",
       "      <td>1.286409</td>\n",
       "      <td>1.251413</td>\n",
       "      <td>1.244246</td>\n",
       "      <td>1.242654</td>\n",
       "      <td>1.221686</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>-0.053085</td>\n",
       "      <td>-0.047632</td>\n",
       "      <td>-0.043750</td>\n",
       "      <td>-0.039213</td>\n",
       "      <td>-0.035028</td>\n",
       "      <td>-0.032639</td>\n",
       "      <td>-0.031395</td>\n",
       "      <td>-0.033830</td>\n",
       "      <td>-0.037398</td>\n",
       "      <td>-0.040417</td>\n",
       "      <td>...</td>\n",
       "      <td>1.228434</td>\n",
       "      <td>1.238501</td>\n",
       "      <td>1.263089</td>\n",
       "      <td>1.283334</td>\n",
       "      <td>1.307714</td>\n",
       "      <td>1.305785</td>\n",
       "      <td>1.275744</td>\n",
       "      <td>1.261842</td>\n",
       "      <td>1.250179</td>\n",
       "      <td>1.237234</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>-0.052781</td>\n",
       "      <td>-0.047243</td>\n",
       "      <td>-0.043119</td>\n",
       "      <td>-0.038141</td>\n",
       "      <td>-0.033574</td>\n",
       "      <td>-0.030858</td>\n",
       "      <td>-0.029521</td>\n",
       "      <td>-0.032079</td>\n",
       "      <td>-0.036178</td>\n",
       "      <td>-0.039821</td>\n",
       "      <td>...</td>\n",
       "      <td>1.191358</td>\n",
       "      <td>1.209015</td>\n",
       "      <td>1.237949</td>\n",
       "      <td>1.262634</td>\n",
       "      <td>1.297188</td>\n",
       "      <td>1.305240</td>\n",
       "      <td>1.270244</td>\n",
       "      <td>1.259182</td>\n",
       "      <td>1.243259</td>\n",
       "      <td>1.233230</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>-0.054127</td>\n",
       "      <td>-0.048605</td>\n",
       "      <td>-0.044665</td>\n",
       "      <td>-0.040046</td>\n",
       "      <td>-0.035697</td>\n",
       "      <td>-0.033231</td>\n",
       "      <td>-0.031913</td>\n",
       "      <td>-0.034432</td>\n",
       "      <td>-0.038147</td>\n",
       "      <td>-0.041339</td>\n",
       "      <td>...</td>\n",
       "      <td>1.218509</td>\n",
       "      <td>1.231492</td>\n",
       "      <td>1.257403</td>\n",
       "      <td>1.276694</td>\n",
       "      <td>1.302877</td>\n",
       "      <td>1.304442</td>\n",
       "      <td>1.275965</td>\n",
       "      <td>1.262696</td>\n",
       "      <td>1.246277</td>\n",
       "      <td>1.235579</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>-0.053571</td>\n",
       "      <td>-0.048110</td>\n",
       "      <td>-0.044576</td>\n",
       "      <td>-0.040675</td>\n",
       "      <td>-0.036795</td>\n",
       "      <td>-0.034930</td>\n",
       "      <td>-0.033330</td>\n",
       "      <td>-0.036139</td>\n",
       "      <td>-0.038868</td>\n",
       "      <td>-0.041477</td>\n",
       "      <td>...</td>\n",
       "      <td>1.271497</td>\n",
       "      <td>1.270497</td>\n",
       "      <td>1.285383</td>\n",
       "      <td>1.292155</td>\n",
       "      <td>1.289240</td>\n",
       "      <td>1.272165</td>\n",
       "      <td>1.251880</td>\n",
       "      <td>1.237660</td>\n",
       "      <td>1.231084</td>\n",
       "      <td>1.213672</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>-0.051631</td>\n",
       "      <td>-0.046151</td>\n",
       "      <td>-0.042427</td>\n",
       "      <td>-0.038148</td>\n",
       "      <td>-0.033999</td>\n",
       "      <td>-0.031888</td>\n",
       "      <td>-0.030157</td>\n",
       "      <td>-0.033128</td>\n",
       "      <td>-0.036204</td>\n",
       "      <td>-0.039386</td>\n",
       "      <td>...</td>\n",
       "      <td>1.239577</td>\n",
       "      <td>1.242969</td>\n",
       "      <td>1.259869</td>\n",
       "      <td>1.271286</td>\n",
       "      <td>1.273506</td>\n",
       "      <td>1.262768</td>\n",
       "      <td>1.234824</td>\n",
       "      <td>1.224351</td>\n",
       "      <td>1.220132</td>\n",
       "      <td>1.202314</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>-0.048781</td>\n",
       "      <td>-0.043454</td>\n",
       "      <td>-0.039577</td>\n",
       "      <td>-0.034942</td>\n",
       "      <td>-0.030978</td>\n",
       "      <td>-0.028608</td>\n",
       "      <td>-0.027392</td>\n",
       "      <td>-0.029821</td>\n",
       "      <td>-0.033316</td>\n",
       "      <td>-0.036446</td>\n",
       "      <td>...</td>\n",
       "      <td>1.231898</td>\n",
       "      <td>1.237305</td>\n",
       "      <td>1.259533</td>\n",
       "      <td>1.284963</td>\n",
       "      <td>1.307724</td>\n",
       "      <td>1.300401</td>\n",
       "      <td>1.261174</td>\n",
       "      <td>1.248067</td>\n",
       "      <td>1.250079</td>\n",
       "      <td>1.231453</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>-0.051940</td>\n",
       "      <td>-0.046832</td>\n",
       "      <td>-0.042938</td>\n",
       "      <td>-0.038495</td>\n",
       "      <td>-0.034252</td>\n",
       "      <td>-0.031777</td>\n",
       "      <td>-0.030878</td>\n",
       "      <td>-0.032824</td>\n",
       "      <td>-0.035992</td>\n",
       "      <td>-0.038261</td>\n",
       "      <td>...</td>\n",
       "      <td>1.201786</td>\n",
       "      <td>1.214263</td>\n",
       "      <td>1.240481</td>\n",
       "      <td>1.267670</td>\n",
       "      <td>1.293367</td>\n",
       "      <td>1.299932</td>\n",
       "      <td>1.259495</td>\n",
       "      <td>1.252195</td>\n",
       "      <td>1.250730</td>\n",
       "      <td>1.230884</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>-0.054885</td>\n",
       "      <td>-0.049325</td>\n",
       "      <td>-0.045596</td>\n",
       "      <td>-0.041389</td>\n",
       "      <td>-0.037096</td>\n",
       "      <td>-0.034962</td>\n",
       "      <td>-0.033262</td>\n",
       "      <td>-0.036179</td>\n",
       "      <td>-0.039318</td>\n",
       "      <td>-0.042364</td>\n",
       "      <td>...</td>\n",
       "      <td>1.237661</td>\n",
       "      <td>1.244656</td>\n",
       "      <td>1.263732</td>\n",
       "      <td>1.272001</td>\n",
       "      <td>1.276804</td>\n",
       "      <td>1.270342</td>\n",
       "      <td>1.249016</td>\n",
       "      <td>1.237608</td>\n",
       "      <td>1.223154</td>\n",
       "      <td>1.209649</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>-0.062082</td>\n",
       "      <td>-0.056308</td>\n",
       "      <td>-0.052509</td>\n",
       "      <td>-0.048345</td>\n",
       "      <td>-0.043678</td>\n",
       "      <td>-0.041417</td>\n",
       "      <td>-0.039791</td>\n",
       "      <td>-0.042597</td>\n",
       "      <td>-0.046056</td>\n",
       "      <td>-0.048964</td>\n",
       "      <td>...</td>\n",
       "      <td>1.228431</td>\n",
       "      <td>1.244986</td>\n",
       "      <td>1.270196</td>\n",
       "      <td>1.272843</td>\n",
       "      <td>1.287330</td>\n",
       "      <td>1.291958</td>\n",
       "      <td>1.284697</td>\n",
       "      <td>1.270765</td>\n",
       "      <td>1.231851</td>\n",
       "      <td>1.229284</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>-0.060582</td>\n",
       "      <td>-0.054911</td>\n",
       "      <td>-0.051076</td>\n",
       "      <td>-0.046794</td>\n",
       "      <td>-0.042354</td>\n",
       "      <td>-0.040010</td>\n",
       "      <td>-0.038752</td>\n",
       "      <td>-0.041169</td>\n",
       "      <td>-0.044794</td>\n",
       "      <td>-0.047514</td>\n",
       "      <td>...</td>\n",
       "      <td>1.235080</td>\n",
       "      <td>1.251071</td>\n",
       "      <td>1.278852</td>\n",
       "      <td>1.289241</td>\n",
       "      <td>1.315228</td>\n",
       "      <td>1.319305</td>\n",
       "      <td>1.306882</td>\n",
       "      <td>1.289845</td>\n",
       "      <td>1.254896</td>\n",
       "      <td>1.251740</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>-0.059898</td>\n",
       "      <td>-0.054068</td>\n",
       "      <td>-0.050070</td>\n",
       "      <td>-0.045476</td>\n",
       "      <td>-0.040600</td>\n",
       "      <td>-0.038085</td>\n",
       "      <td>-0.036344</td>\n",
       "      <td>-0.039319</td>\n",
       "      <td>-0.043239</td>\n",
       "      <td>-0.046828</td>\n",
       "      <td>...</td>\n",
       "      <td>1.202288</td>\n",
       "      <td>1.222657</td>\n",
       "      <td>1.250135</td>\n",
       "      <td>1.258047</td>\n",
       "      <td>1.279999</td>\n",
       "      <td>1.289306</td>\n",
       "      <td>1.274817</td>\n",
       "      <td>1.262841</td>\n",
       "      <td>1.225624</td>\n",
       "      <td>1.223651</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>-0.061131</td>\n",
       "      <td>-0.055430</td>\n",
       "      <td>-0.051634</td>\n",
       "      <td>-0.047439</td>\n",
       "      <td>-0.042962</td>\n",
       "      <td>-0.040683</td>\n",
       "      <td>-0.039302</td>\n",
       "      <td>-0.041847</td>\n",
       "      <td>-0.045361</td>\n",
       "      <td>-0.048088</td>\n",
       "      <td>...</td>\n",
       "      <td>1.236968</td>\n",
       "      <td>1.252300</td>\n",
       "      <td>1.278684</td>\n",
       "      <td>1.285833</td>\n",
       "      <td>1.306663</td>\n",
       "      <td>1.309760</td>\n",
       "      <td>1.299735</td>\n",
       "      <td>1.283430</td>\n",
       "      <td>1.247513</td>\n",
       "      <td>1.244289</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>-0.063432</td>\n",
       "      <td>-0.057622</td>\n",
       "      <td>-0.053883</td>\n",
       "      <td>-0.049853</td>\n",
       "      <td>-0.045213</td>\n",
       "      <td>-0.043035</td>\n",
       "      <td>-0.041389</td>\n",
       "      <td>-0.044210</td>\n",
       "      <td>-0.047573</td>\n",
       "      <td>-0.050347</td>\n",
       "      <td>...</td>\n",
       "      <td>1.237642</td>\n",
       "      <td>1.253485</td>\n",
       "      <td>1.278059</td>\n",
       "      <td>1.277520</td>\n",
       "      <td>1.289353</td>\n",
       "      <td>1.292563</td>\n",
       "      <td>1.289740</td>\n",
       "      <td>1.274702</td>\n",
       "      <td>1.232469</td>\n",
       "      <td>1.231091</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>-0.053456</td>\n",
       "      <td>-0.047910</td>\n",
       "      <td>-0.044197</td>\n",
       "      <td>-0.040076</td>\n",
       "      <td>-0.035380</td>\n",
       "      <td>-0.033326</td>\n",
       "      <td>-0.030971</td>\n",
       "      <td>-0.034560</td>\n",
       "      <td>-0.037244</td>\n",
       "      <td>-0.040664</td>\n",
       "      <td>...</td>\n",
       "      <td>1.206360</td>\n",
       "      <td>1.213011</td>\n",
       "      <td>1.226024</td>\n",
       "      <td>1.226452</td>\n",
       "      <td>1.207938</td>\n",
       "      <td>1.203461</td>\n",
       "      <td>1.179019</td>\n",
       "      <td>1.178482</td>\n",
       "      <td>1.171609</td>\n",
       "      <td>1.151887</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>-0.054128</td>\n",
       "      <td>-0.048748</td>\n",
       "      <td>-0.045185</td>\n",
       "      <td>-0.041353</td>\n",
       "      <td>-0.037105</td>\n",
       "      <td>-0.035200</td>\n",
       "      <td>-0.033377</td>\n",
       "      <td>-0.036354</td>\n",
       "      <td>-0.038786</td>\n",
       "      <td>-0.041321</td>\n",
       "      <td>...</td>\n",
       "      <td>1.238955</td>\n",
       "      <td>1.241582</td>\n",
       "      <td>1.255507</td>\n",
       "      <td>1.259399</td>\n",
       "      <td>1.246951</td>\n",
       "      <td>1.237699</td>\n",
       "      <td>1.214899</td>\n",
       "      <td>1.208884</td>\n",
       "      <td>1.204056</td>\n",
       "      <td>1.183430</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>-0.053732</td>\n",
       "      <td>-0.048180</td>\n",
       "      <td>-0.044564</td>\n",
       "      <td>-0.040617</td>\n",
       "      <td>-0.036038</td>\n",
       "      <td>-0.034127</td>\n",
       "      <td>-0.031718</td>\n",
       "      <td>-0.035364</td>\n",
       "      <td>-0.037848</td>\n",
       "      <td>-0.041127</td>\n",
       "      <td>...</td>\n",
       "      <td>1.221079</td>\n",
       "      <td>1.224631</td>\n",
       "      <td>1.235359</td>\n",
       "      <td>1.232501</td>\n",
       "      <td>1.208031</td>\n",
       "      <td>1.199092</td>\n",
       "      <td>1.177758</td>\n",
       "      <td>1.176262</td>\n",
       "      <td>1.170124</td>\n",
       "      <td>1.149678</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>-0.053958</td>\n",
       "      <td>-0.048699</td>\n",
       "      <td>-0.044971</td>\n",
       "      <td>-0.041018</td>\n",
       "      <td>-0.035992</td>\n",
       "      <td>-0.033865</td>\n",
       "      <td>-0.031595</td>\n",
       "      <td>-0.034946</td>\n",
       "      <td>-0.037107</td>\n",
       "      <td>-0.039867</td>\n",
       "      <td>...</td>\n",
       "      <td>1.165215</td>\n",
       "      <td>1.176716</td>\n",
       "      <td>1.190414</td>\n",
       "      <td>1.192380</td>\n",
       "      <td>1.167561</td>\n",
       "      <td>1.175367</td>\n",
       "      <td>1.143851</td>\n",
       "      <td>1.153684</td>\n",
       "      <td>1.152852</td>\n",
       "      <td>1.126815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>-0.051053</td>\n",
       "      <td>-0.045932</td>\n",
       "      <td>-0.042341</td>\n",
       "      <td>-0.038522</td>\n",
       "      <td>-0.034046</td>\n",
       "      <td>-0.032094</td>\n",
       "      <td>-0.030130</td>\n",
       "      <td>-0.033176</td>\n",
       "      <td>-0.035150</td>\n",
       "      <td>-0.037535</td>\n",
       "      <td>...</td>\n",
       "      <td>1.201291</td>\n",
       "      <td>1.204608</td>\n",
       "      <td>1.215997</td>\n",
       "      <td>1.222453</td>\n",
       "      <td>1.198893</td>\n",
       "      <td>1.195521</td>\n",
       "      <td>1.160500</td>\n",
       "      <td>1.165265</td>\n",
       "      <td>1.175346</td>\n",
       "      <td>1.145312</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>-0.050781</td>\n",
       "      <td>-0.045817</td>\n",
       "      <td>-0.042130</td>\n",
       "      <td>-0.038107</td>\n",
       "      <td>-0.033961</td>\n",
       "      <td>-0.031790</td>\n",
       "      <td>-0.030649</td>\n",
       "      <td>-0.032800</td>\n",
       "      <td>-0.035199</td>\n",
       "      <td>-0.037059</td>\n",
       "      <td>...</td>\n",
       "      <td>1.210611</td>\n",
       "      <td>1.216555</td>\n",
       "      <td>1.235738</td>\n",
       "      <td>1.256354</td>\n",
       "      <td>1.260335</td>\n",
       "      <td>1.260615</td>\n",
       "      <td>1.219968</td>\n",
       "      <td>1.217670</td>\n",
       "      <td>1.226984</td>\n",
       "      <td>1.199535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>-0.057168</td>\n",
       "      <td>-0.051495</td>\n",
       "      <td>-0.047755</td>\n",
       "      <td>-0.043744</td>\n",
       "      <td>-0.038493</td>\n",
       "      <td>-0.036426</td>\n",
       "      <td>-0.033609</td>\n",
       "      <td>-0.037645</td>\n",
       "      <td>-0.040166</td>\n",
       "      <td>-0.043764</td>\n",
       "      <td>...</td>\n",
       "      <td>1.176502</td>\n",
       "      <td>1.189080</td>\n",
       "      <td>1.201314</td>\n",
       "      <td>1.191700</td>\n",
       "      <td>1.161022</td>\n",
       "      <td>1.165302</td>\n",
       "      <td>1.147940</td>\n",
       "      <td>1.154224</td>\n",
       "      <td>1.137094</td>\n",
       "      <td>1.119684</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>-0.055770</td>\n",
       "      <td>-0.050329</td>\n",
       "      <td>-0.046731</td>\n",
       "      <td>-0.042928</td>\n",
       "      <td>-0.038293</td>\n",
       "      <td>-0.036358</td>\n",
       "      <td>-0.034199</td>\n",
       "      <td>-0.037505</td>\n",
       "      <td>-0.039823</td>\n",
       "      <td>-0.042543</td>\n",
       "      <td>...</td>\n",
       "      <td>1.214239</td>\n",
       "      <td>1.220712</td>\n",
       "      <td>1.233800</td>\n",
       "      <td>1.231967</td>\n",
       "      <td>1.210740</td>\n",
       "      <td>1.207588</td>\n",
       "      <td>1.187161</td>\n",
       "      <td>1.186818</td>\n",
       "      <td>1.177730</td>\n",
       "      <td>1.157425</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>-0.058121</td>\n",
       "      <td>-0.052336</td>\n",
       "      <td>-0.048733</td>\n",
       "      <td>-0.044867</td>\n",
       "      <td>-0.040132</td>\n",
       "      <td>-0.038251</td>\n",
       "      <td>-0.035706</td>\n",
       "      <td>-0.039519</td>\n",
       "      <td>-0.042185</td>\n",
       "      <td>-0.045588</td>\n",
       "      <td>...</td>\n",
       "      <td>1.229769</td>\n",
       "      <td>1.236311</td>\n",
       "      <td>1.248433</td>\n",
       "      <td>1.238165</td>\n",
       "      <td>1.214340</td>\n",
       "      <td>1.206748</td>\n",
       "      <td>1.197852</td>\n",
       "      <td>1.193022</td>\n",
       "      <td>1.170884</td>\n",
       "      <td>1.157992</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>-0.057095</td>\n",
       "      <td>-0.051560</td>\n",
       "      <td>-0.047906</td>\n",
       "      <td>-0.044031</td>\n",
       "      <td>-0.039200</td>\n",
       "      <td>-0.037198</td>\n",
       "      <td>-0.034909</td>\n",
       "      <td>-0.038361</td>\n",
       "      <td>-0.040823</td>\n",
       "      <td>-0.043763</td>\n",
       "      <td>...</td>\n",
       "      <td>1.203956</td>\n",
       "      <td>1.213483</td>\n",
       "      <td>1.227621</td>\n",
       "      <td>1.223669</td>\n",
       "      <td>1.202966</td>\n",
       "      <td>1.203299</td>\n",
       "      <td>1.185467</td>\n",
       "      <td>1.185936</td>\n",
       "      <td>1.171058</td>\n",
       "      <td>1.153392</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>60 rows × 401 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         0         1         2         3         4         5         6    \\\n",
       "0  -0.049217 -0.044208 -0.040459 -0.036228 -0.032200 -0.029951 -0.028881   \n",
       "1  -0.044544 -0.039557 -0.035341 -0.030179 -0.025638 -0.022752 -0.021652   \n",
       "2  -0.045507 -0.040074 -0.035713 -0.030151 -0.025429 -0.022428 -0.020867   \n",
       "3  -0.046226 -0.041404 -0.037432 -0.032811 -0.028521 -0.025936 -0.025014   \n",
       "4  -0.047712 -0.042377 -0.038599 -0.034110 -0.030232 -0.028029 -0.026591   \n",
       "5  -0.046483 -0.041511 -0.037657 -0.033154 -0.029168 -0.026779 -0.025780   \n",
       "6  -0.048891 -0.043434 -0.039582 -0.034988 -0.030831 -0.028549 -0.026863   \n",
       "7  -0.048777 -0.043276 -0.039132 -0.034031 -0.029424 -0.026727 -0.025050   \n",
       "8  -0.048676 -0.043200 -0.039281 -0.034568 -0.030280 -0.027911 -0.026159   \n",
       "9  -0.049455 -0.044022 -0.040217 -0.035745 -0.031574 -0.029355 -0.027636   \n",
       "10 -0.050912 -0.045547 -0.041953 -0.037907 -0.034005 -0.032060 -0.030449   \n",
       "11 -0.049185 -0.043889 -0.040129 -0.035748 -0.031780 -0.029582 -0.028192   \n",
       "12 -0.049469 -0.044121 -0.040051 -0.035142 -0.030695 -0.028053 -0.026702   \n",
       "13 -0.047169 -0.041698 -0.037451 -0.032165 -0.027335 -0.024510 -0.022670   \n",
       "14 -0.045237 -0.039679 -0.035121 -0.029185 -0.024101 -0.020851 -0.019069   \n",
       "15 -0.049983 -0.044933 -0.041144 -0.036825 -0.032866 -0.030549 -0.029664   \n",
       "16 -0.050628 -0.045204 -0.041395 -0.036972 -0.032689 -0.030455 -0.028729   \n",
       "17 -0.052457 -0.046901 -0.043022 -0.038502 -0.033993 -0.031673 -0.029806   \n",
       "18 -0.053565 -0.048289 -0.044368 -0.039937 -0.035271 -0.032810 -0.031355   \n",
       "19 -0.052410 -0.046816 -0.042709 -0.037779 -0.032988 -0.030339 -0.028565   \n",
       "20 -0.055743 -0.050307 -0.046503 -0.042278 -0.037702 -0.035430 -0.033806   \n",
       "21 -0.046118 -0.040893 -0.036953 -0.032195 -0.028088 -0.025643 -0.024280   \n",
       "22 -0.054489 -0.049029 -0.045118 -0.040663 -0.035970 -0.033561 -0.031873   \n",
       "23 -0.054899 -0.049380 -0.045469 -0.040998 -0.036333 -0.033933 -0.032231   \n",
       "24 -0.054884 -0.049437 -0.045549 -0.041142 -0.036522 -0.034136 -0.032543   \n",
       "25 -0.052436 -0.046889 -0.042984 -0.038393 -0.033985 -0.031611 -0.029942   \n",
       "26 -0.053618 -0.048273 -0.044457 -0.040176 -0.035673 -0.033385 -0.031803   \n",
       "27 -0.055019 -0.049715 -0.045955 -0.041817 -0.037407 -0.035169 -0.033775   \n",
       "28 -0.054950 -0.049574 -0.045737 -0.041449 -0.036892 -0.034564 -0.033045   \n",
       "29 -0.055630 -0.050264 -0.046523 -0.042403 -0.038046 -0.035839 -0.034440   \n",
       "30 -0.055292 -0.049926 -0.046141 -0.041941 -0.037504 -0.035239 -0.033804   \n",
       "31 -0.054476 -0.049336 -0.045470 -0.041212 -0.036620 -0.034195 -0.032995   \n",
       "32 -0.056745 -0.051513 -0.047688 -0.043566 -0.038829 -0.036474 -0.035087   \n",
       "33 -0.053850 -0.048732 -0.044871 -0.040612 -0.036035 -0.033620 -0.032399   \n",
       "34 -0.054311 -0.049203 -0.045356 -0.041121 -0.036629 -0.034217 -0.033133   \n",
       "35 -0.054467 -0.048932 -0.045104 -0.040746 -0.036236 -0.033964 -0.032208   \n",
       "36 -0.053001 -0.047885 -0.044136 -0.039990 -0.035825 -0.033563 -0.032529   \n",
       "37 -0.053085 -0.047632 -0.043750 -0.039213 -0.035028 -0.032639 -0.031395   \n",
       "38 -0.052781 -0.047243 -0.043119 -0.038141 -0.033574 -0.030858 -0.029521   \n",
       "39 -0.054127 -0.048605 -0.044665 -0.040046 -0.035697 -0.033231 -0.031913   \n",
       "40 -0.053571 -0.048110 -0.044576 -0.040675 -0.036795 -0.034930 -0.033330   \n",
       "41 -0.051631 -0.046151 -0.042427 -0.038148 -0.033999 -0.031888 -0.030157   \n",
       "42 -0.048781 -0.043454 -0.039577 -0.034942 -0.030978 -0.028608 -0.027392   \n",
       "43 -0.051940 -0.046832 -0.042938 -0.038495 -0.034252 -0.031777 -0.030878   \n",
       "44 -0.054885 -0.049325 -0.045596 -0.041389 -0.037096 -0.034962 -0.033262   \n",
       "45 -0.062082 -0.056308 -0.052509 -0.048345 -0.043678 -0.041417 -0.039791   \n",
       "46 -0.060582 -0.054911 -0.051076 -0.046794 -0.042354 -0.040010 -0.038752   \n",
       "47 -0.059898 -0.054068 -0.050070 -0.045476 -0.040600 -0.038085 -0.036344   \n",
       "48 -0.061131 -0.055430 -0.051634 -0.047439 -0.042962 -0.040683 -0.039302   \n",
       "49 -0.063432 -0.057622 -0.053883 -0.049853 -0.045213 -0.043035 -0.041389   \n",
       "50 -0.053456 -0.047910 -0.044197 -0.040076 -0.035380 -0.033326 -0.030971   \n",
       "51 -0.054128 -0.048748 -0.045185 -0.041353 -0.037105 -0.035200 -0.033377   \n",
       "52 -0.053732 -0.048180 -0.044564 -0.040617 -0.036038 -0.034127 -0.031718   \n",
       "53 -0.053958 -0.048699 -0.044971 -0.041018 -0.035992 -0.033865 -0.031595   \n",
       "54 -0.051053 -0.045932 -0.042341 -0.038522 -0.034046 -0.032094 -0.030130   \n",
       "55 -0.050781 -0.045817 -0.042130 -0.038107 -0.033961 -0.031790 -0.030649   \n",
       "56 -0.057168 -0.051495 -0.047755 -0.043744 -0.038493 -0.036426 -0.033609   \n",
       "57 -0.055770 -0.050329 -0.046731 -0.042928 -0.038293 -0.036358 -0.034199   \n",
       "58 -0.058121 -0.052336 -0.048733 -0.044867 -0.040132 -0.038251 -0.035706   \n",
       "59 -0.057095 -0.051560 -0.047906 -0.044031 -0.039200 -0.037198 -0.034909   \n",
       "\n",
       "         7         8         9    ...       391       392       393       394  \\\n",
       "0  -0.031010 -0.033717 -0.035878  ...  1.216216  1.221437  1.241732  1.266374   \n",
       "1  -0.023856 -0.027477 -0.030764  ...  1.144941  1.161052  1.188410  1.228494   \n",
       "2  -0.023719 -0.028141 -0.032704  ...  1.150982  1.169166  1.197388  1.232531   \n",
       "3  -0.026945 -0.029870 -0.032196  ...  1.169635  1.180859  1.205033  1.240457   \n",
       "4  -0.029272 -0.032502 -0.035692  ...  1.242768  1.243682  1.261636  1.282885   \n",
       "5  -0.027866 -0.030835 -0.033302  ...  1.207772  1.213222  1.234754  1.265822   \n",
       "6  -0.029822 -0.033208 -0.036772  ...  1.226850  1.231265  1.249724  1.267735   \n",
       "7  -0.028003 -0.031986 -0.036105  ...  1.179737  1.194083  1.218740  1.243636   \n",
       "8  -0.029193 -0.032695 -0.036454  ...  1.214328  1.220826  1.240104  1.258933   \n",
       "9  -0.030609 -0.033820 -0.037224  ...  1.227896  1.231785  1.249241  1.265124   \n",
       "10 -0.033268 -0.035999 -0.038749  ...  1.257324  1.256125  1.270627  1.281708   \n",
       "11 -0.030779 -0.033874 -0.036798  ...  1.236840  1.239557  1.258195  1.278175   \n",
       "12 -0.029248 -0.032990 -0.036464  ...  1.187606  1.201255  1.226901  1.254134   \n",
       "13 -0.025793 -0.029838 -0.034275  ...  1.153730  1.170487  1.195161  1.221972   \n",
       "14 -0.022193 -0.027062 -0.032319  ...  1.120176  1.144253  1.175030  1.211731   \n",
       "15 -0.031612 -0.034570 -0.036725  ...  1.222637  1.229205  1.252197  1.279387   \n",
       "16 -0.031681 -0.034829 -0.038117  ...  1.220413  1.226235  1.244316  1.258943   \n",
       "17 -0.032923 -0.036289 -0.039858  ...  1.209971  1.219609  1.239274  1.251314   \n",
       "18 -0.033901 -0.037007 -0.039772  ...  1.181175  1.196416  1.220149  1.238202   \n",
       "19 -0.031593 -0.035490 -0.039456  ...  1.178599  1.195734  1.220935  1.239513   \n",
       "20 -0.036565 -0.039596 -0.042389  ...  1.206625  1.219006  1.240435  1.250775   \n",
       "21 -0.026852 -0.030248 -0.033575  ...  1.208437  1.214244  1.235101  1.263031   \n",
       "22 -0.034724 -0.037990 -0.041143  ...  1.191728  1.206156  1.228732  1.241971   \n",
       "23 -0.035117 -0.038477 -0.041721  ...  1.197903  1.212104  1.234872  1.247331   \n",
       "24 -0.035287 -0.038538 -0.041547  ...  1.198230  1.212216  1.235208  1.248827   \n",
       "25 -0.032856 -0.036386 -0.039888  ...  1.215306  1.225408  1.247113  1.262561   \n",
       "26 -0.034516 -0.037494 -0.040290  ...  1.203250  1.214135  1.234839  1.248495   \n",
       "27 -0.036258 -0.039133 -0.041543  ...  1.212673  1.223453  1.245074  1.258615   \n",
       "28 -0.035683 -0.038751 -0.041494  ...  1.201748  1.214653  1.237021  1.250525   \n",
       "29 -0.036948 -0.039888 -0.042343  ...  1.221956  1.232104  1.253725  1.265979   \n",
       "30 -0.036351 -0.039356 -0.041927  ...  1.213188  1.224584  1.246683  1.259829   \n",
       "31 -0.035207 -0.038080 -0.040275  ...  1.183002  1.198508  1.223213  1.242759   \n",
       "32 -0.037490 -0.040261 -0.042461  ...  1.183161  1.199681  1.223452  1.236820   \n",
       "33 -0.034634 -0.037464 -0.039672  ...  1.182267  1.197075  1.221158  1.241030   \n",
       "34 -0.035219 -0.038082 -0.040143  ...  1.189219  1.203909  1.228977  1.249965   \n",
       "35 -0.035169 -0.038403 -0.041615  ...  1.214262  1.224794  1.245245  1.255513   \n",
       "36 -0.034602 -0.037404 -0.039426  ...  1.217538  1.226486  1.249202  1.270004   \n",
       "37 -0.033830 -0.037398 -0.040417  ...  1.228434  1.238501  1.263089  1.283334   \n",
       "38 -0.032079 -0.036178 -0.039821  ...  1.191358  1.209015  1.237949  1.262634   \n",
       "39 -0.034432 -0.038147 -0.041339  ...  1.218509  1.231492  1.257403  1.276694   \n",
       "40 -0.036139 -0.038868 -0.041477  ...  1.271497  1.270497  1.285383  1.292155   \n",
       "41 -0.033128 -0.036204 -0.039386  ...  1.239577  1.242969  1.259869  1.271286   \n",
       "42 -0.029821 -0.033316 -0.036446  ...  1.231898  1.237305  1.259533  1.284963   \n",
       "43 -0.032824 -0.035992 -0.038261  ...  1.201786  1.214263  1.240481  1.267670   \n",
       "44 -0.036179 -0.039318 -0.042364  ...  1.237661  1.244656  1.263732  1.272001   \n",
       "45 -0.042597 -0.046056 -0.048964  ...  1.228431  1.244986  1.270196  1.272843   \n",
       "46 -0.041169 -0.044794 -0.047514  ...  1.235080  1.251071  1.278852  1.289241   \n",
       "47 -0.039319 -0.043239 -0.046828  ...  1.202288  1.222657  1.250135  1.258047   \n",
       "48 -0.041847 -0.045361 -0.048088  ...  1.236968  1.252300  1.278684  1.285833   \n",
       "49 -0.044210 -0.047573 -0.050347  ...  1.237642  1.253485  1.278059  1.277520   \n",
       "50 -0.034560 -0.037244 -0.040664  ...  1.206360  1.213011  1.226024  1.226452   \n",
       "51 -0.036354 -0.038786 -0.041321  ...  1.238955  1.241582  1.255507  1.259399   \n",
       "52 -0.035364 -0.037848 -0.041127  ...  1.221079  1.224631  1.235359  1.232501   \n",
       "53 -0.034946 -0.037107 -0.039867  ...  1.165215  1.176716  1.190414  1.192380   \n",
       "54 -0.033176 -0.035150 -0.037535  ...  1.201291  1.204608  1.215997  1.222453   \n",
       "55 -0.032800 -0.035199 -0.037059  ...  1.210611  1.216555  1.235738  1.256354   \n",
       "56 -0.037645 -0.040166 -0.043764  ...  1.176502  1.189080  1.201314  1.191700   \n",
       "57 -0.037505 -0.039823 -0.042543  ...  1.214239  1.220712  1.233800  1.231967   \n",
       "58 -0.039519 -0.042185 -0.045588  ...  1.229769  1.236311  1.248433  1.238165   \n",
       "59 -0.038361 -0.040823 -0.043763  ...  1.203956  1.213483  1.227621  1.223669   \n",
       "\n",
       "         395       396       397       398       399       400  \n",
       "0   1.277662  1.275531  1.232244  1.226915  1.237562  1.211225  \n",
       "1   1.260175  1.273923  1.210722  1.212050  1.228533  1.201700  \n",
       "2   1.269147  1.279560  1.224703  1.220443  1.222934  1.205696  \n",
       "3   1.261469  1.270659  1.212434  1.213659  1.232900  1.202531  \n",
       "4   1.294388  1.280938  1.242653  1.230501  1.237377  1.215958  \n",
       "5   1.284060  1.282216  1.231405  1.226009  1.242443  1.214737  \n",
       "6   1.277433  1.268032  1.232173  1.222100  1.223172  1.204262  \n",
       "7   1.267786  1.272233  1.229436  1.223080  1.219333  1.203519  \n",
       "8   1.269977  1.263508  1.225934  1.217400  1.217926  1.199350  \n",
       "9   1.270558  1.261033  1.226591  1.217574  1.218749  1.199011  \n",
       "10  1.278878  1.262914  1.234663  1.223447  1.225182  1.203974  \n",
       "11  1.288623  1.278632  1.241975  1.231335  1.235727  1.214449  \n",
       "12  1.280911  1.286060  1.242809  1.235709  1.233727  1.216327  \n",
       "13  1.244544  1.253482  1.204532  1.202990  1.203483  1.185375  \n",
       "14  1.253533  1.271157  1.213407  1.211894  1.210217  1.195693  \n",
       "15  1.299914  1.298418  1.256599  1.247647  1.253774  1.230636  \n",
       "16  1.263519  1.257240  1.224112  1.216579  1.215167  1.195905  \n",
       "17  1.257654  1.255415  1.226180  1.218891  1.209320  1.193980  \n",
       "18  1.250754  1.260654  1.225209  1.223175  1.215855  1.197370  \n",
       "19  1.260283  1.268094  1.233737  1.227682  1.213680  1.201519  \n",
       "20  1.256879  1.260553  1.235295  1.229514  1.215010  1.199932  \n",
       "21  1.281074  1.276361  1.228706  1.221319  1.232504  1.208947  \n",
       "22  1.251801  1.258109  1.228660  1.224190  1.210994  1.195989  \n",
       "23  1.258463  1.263449  1.236151  1.229912  1.214189  1.200849  \n",
       "24  1.260377  1.265971  1.237560  1.231717  1.217714  1.203180  \n",
       "25  1.276645  1.274526  1.244620  1.234648  1.223967  1.210019  \n",
       "26  1.254371  1.257008  1.226129  1.221642  1.214363  1.196032  \n",
       "27  1.266653  1.269418  1.241291  1.235067  1.225264  1.207770  \n",
       "28  1.259979  1.265013  1.236383  1.231023  1.219077  1.202975  \n",
       "29  1.274830  1.275643  1.250485  1.242098  1.229421  1.213705  \n",
       "30  1.269511  1.272243  1.245355  1.238175  1.225910  1.210031  \n",
       "31  1.256724  1.268739  1.232985  1.231347  1.224944  1.205041  \n",
       "32  1.244654  1.257530  1.228217  1.227351  1.214524  1.196719  \n",
       "33  1.253596  1.264960  1.227837  1.226829  1.222708  1.201669  \n",
       "34  1.266177  1.277122  1.240971  1.238028  1.232520  1.212425  \n",
       "35  1.261969  1.261351  1.236001  1.228149  1.214389  1.200242  \n",
       "36  1.284545  1.286409  1.251413  1.244246  1.242654  1.221686  \n",
       "37  1.307714  1.305785  1.275744  1.261842  1.250179  1.237234  \n",
       "38  1.297188  1.305240  1.270244  1.259182  1.243259  1.233230  \n",
       "39  1.302877  1.304442  1.275965  1.262696  1.246277  1.235579  \n",
       "40  1.289240  1.272165  1.251880  1.237660  1.231084  1.213672  \n",
       "41  1.273506  1.262768  1.234824  1.224351  1.220132  1.202314  \n",
       "42  1.307724  1.300401  1.261174  1.248067  1.250079  1.231453  \n",
       "43  1.293367  1.299932  1.259495  1.252195  1.250730  1.230884  \n",
       "44  1.276804  1.270342  1.249016  1.237608  1.223154  1.209649  \n",
       "45  1.287330  1.291958  1.284697  1.270765  1.231851  1.229284  \n",
       "46  1.315228  1.319305  1.306882  1.289845  1.254896  1.251740  \n",
       "47  1.279999  1.289306  1.274817  1.262841  1.225624  1.223651  \n",
       "48  1.306663  1.309760  1.299735  1.283430  1.247513  1.244289  \n",
       "49  1.289353  1.292563  1.289740  1.274702  1.232469  1.231091  \n",
       "50  1.207938  1.203461  1.179019  1.178482  1.171609  1.151887  \n",
       "51  1.246951  1.237699  1.214899  1.208884  1.204056  1.183430  \n",
       "52  1.208031  1.199092  1.177758  1.176262  1.170124  1.149678  \n",
       "53  1.167561  1.175367  1.143851  1.153684  1.152852  1.126815  \n",
       "54  1.198893  1.195521  1.160500  1.165265  1.175346  1.145312  \n",
       "55  1.260335  1.260615  1.219968  1.217670  1.226984  1.199535  \n",
       "56  1.161022  1.165302  1.147940  1.154224  1.137094  1.119684  \n",
       "57  1.210740  1.207588  1.187161  1.186818  1.177730  1.157425  \n",
       "58  1.214340  1.206748  1.197852  1.193022  1.170884  1.157992  \n",
       "59  1.202966  1.203299  1.185467  1.185936  1.171058  1.153392  \n",
       "\n",
       "[60 rows x 401 columns]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get predicted X for a given number of components\n",
    "\n",
    "# Predicted X from calibration using 4 components\n",
    "X_from_4_component = model.X_predCal()[4]\n",
    "\n",
    "# Predicted X from calibration using 1 component stored in pandas data frame with row and columns names\n",
    "X_from_4_component_df = pd.DataFrame(model.X_predCal()[4])\n",
    "#X_from_4_component_df.index = data_objNames\n",
    "#X_from_4_component_df.columns = data_varNames\n",
    "X_from_4_component_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function X_predCal in module hoggorm.pca:\n",
      "\n",
      "X_predCal(self)\n",
      "    Returns a dictionary holding the predicted arrays Xhat from\n",
      "    calibration after each computed component. Dictionary key represents\n",
      "    order of component.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(ho.nipalsPCA.X_predCal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>validated explained variance</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>PC1</th>\n",
       "      <td>71.415215</td>\n",
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       "      <th>PC2</th>\n",
       "      <td>10.672744</td>\n",
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       "    <tr>\n",
       "      <th>PC3</th>\n",
       "      <td>7.088484</td>\n",
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       "    <tr>\n",
       "      <th>PC4</th>\n",
       "      <td>5.448433</td>\n",
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       "    <tr>\n",
       "      <th>PC5</th>\n",
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      "text/plain": [
       "     validated explained variance\n",
       "PC1                     71.415215\n",
       "PC2                     10.672744\n",
       "PC3                      7.088484\n",
       "PC4                      5.448433\n",
       "PC5                      1.145096"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get validated explained variance of each component\n",
    "valExplVar = model.X_valExplVar()\n",
    "\n",
    "# Get calibrated explained variance and store in pandas dataframe with row and column names\n",
    "valExplVar_df = pd.DataFrame(model.X_valExplVar())\n",
    "valExplVar_df.columns = ['validated explained variance']\n",
    "valExplVar_df.index = ['PC{0}'.format(x+1) for x in range(model.X_loadings().shape[1])]\n",
    "valExplVar_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function X_valExplVar in module hoggorm.pca:\n",
      "\n",
      "X_valExplVar(self)\n",
      "    Returns a list holding the validated explained variance for X after\n",
      "    each component. First number in list is for component 1, second number\n",
      "    for component 2, third number for component 3, etc.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(ho.nipalsPCA.X_valExplVar)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>cumulative validated explained variance</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>PC0</th>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC1</th>\n",
       "      <td>71.415215</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC2</th>\n",
       "      <td>82.087959</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC3</th>\n",
       "      <td>89.176443</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC4</th>\n",
       "      <td>94.624876</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC5</th>\n",
       "      <td>95.769973</td>\n",
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      "text/plain": [
       "     cumulative validated explained variance\n",
       "PC0                                 0.000000\n",
       "PC1                                71.415215\n",
       "PC2                                82.087959\n",
       "PC3                                89.176443\n",
       "PC4                                94.624876\n",
       "PC5                                95.769973"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get cumulative validated explained variance\n",
    "cumValExplVar = model.X_cumValExplVar()\n",
    "\n",
    "# Get cumulative validated explained variance and store in pandas dataframe with row and column names\n",
    "cumValExplVar_df = pd.DataFrame(model.X_cumValExplVar())\n",
    "cumValExplVar_df.columns = ['cumulative validated explained variance']\n",
    "cumValExplVar_df.index = ['PC{0}'.format(x) for x in range(model.X_loadings().shape[1] + 1)]\n",
    "cumValExplVar_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function X_cumValExplVar in module hoggorm.pca:\n",
      "\n",
      "X_cumValExplVar(self)\n",
      "    Returns a list holding the cumulative validated explained variance\n",
      "    for array X after each component.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(ho.nipalsPCA.X_cumValExplVar)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
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       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC1</th>\n",
       "      <td>22.710872</td>\n",
       "      <td>21.660941</td>\n",
       "      <td>24.633452</td>\n",
       "      <td>29.395892</td>\n",
       "      <td>32.929146</td>\n",
       "      <td>36.269480</td>\n",
       "      <td>33.410238</td>\n",
       "      <td>36.056511</td>\n",
       "      <td>34.476418</td>\n",
       "      <td>31.650333</td>\n",
       "      <td>...</td>\n",
       "      <td>81.508076</td>\n",
       "      <td>78.599717</td>\n",
       "      <td>66.107833</td>\n",
       "      <td>23.652124</td>\n",
       "      <td>-0.308331</td>\n",
       "      <td>-2.210922</td>\n",
       "      <td>2.928987</td>\n",
       "      <td>0.323311</td>\n",
       "      <td>-1.866828</td>\n",
       "      <td>-1.736965</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC2</th>\n",
       "      <td>37.041768</td>\n",
       "      <td>35.701940</td>\n",
       "      <td>39.251132</td>\n",
       "      <td>46.268708</td>\n",
       "      <td>45.824521</td>\n",
       "      <td>49.846358</td>\n",
       "      <td>41.555877</td>\n",
       "      <td>49.099234</td>\n",
       "      <td>44.884280</td>\n",
       "      <td>43.187382</td>\n",
       "      <td>...</td>\n",
       "      <td>88.428120</td>\n",
       "      <td>85.245979</td>\n",
       "      <td>79.717190</td>\n",
       "      <td>66.259572</td>\n",
       "      <td>69.632602</td>\n",
       "      <td>50.840185</td>\n",
       "      <td>40.400170</td>\n",
       "      <td>38.230413</td>\n",
       "      <td>67.908421</td>\n",
       "      <td>63.038326</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC3</th>\n",
       "      <td>59.549386</td>\n",
       "      <td>55.127538</td>\n",
       "      <td>55.861670</td>\n",
       "      <td>58.527133</td>\n",
       "      <td>55.416556</td>\n",
       "      <td>56.896679</td>\n",
       "      <td>47.825787</td>\n",
       "      <td>56.688266</td>\n",
       "      <td>61.150641</td>\n",
       "      <td>68.928297</td>\n",
       "      <td>...</td>\n",
       "      <td>88.968249</td>\n",
       "      <td>84.631048</td>\n",
       "      <td>82.184860</td>\n",
       "      <td>66.422820</td>\n",
       "      <td>77.869434</td>\n",
       "      <td>63.746844</td>\n",
       "      <td>65.688602</td>\n",
       "      <td>63.197396</td>\n",
       "      <td>69.828459</td>\n",
       "      <td>77.373464</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC4</th>\n",
       "      <td>84.409841</td>\n",
       "      <td>84.151860</td>\n",
       "      <td>85.759920</td>\n",
       "      <td>90.776563</td>\n",
       "      <td>88.410193</td>\n",
       "      <td>88.494435</td>\n",
       "      <td>85.189375</td>\n",
       "      <td>85.545819</td>\n",
       "      <td>87.891494</td>\n",
       "      <td>84.123411</td>\n",
       "      <td>...</td>\n",
       "      <td>88.700223</td>\n",
       "      <td>85.085762</td>\n",
       "      <td>84.491970</td>\n",
       "      <td>66.990241</td>\n",
       "      <td>78.535613</td>\n",
       "      <td>67.574335</td>\n",
       "      <td>74.788183</td>\n",
       "      <td>78.349408</td>\n",
       "      <td>78.462909</td>\n",
       "      <td>87.311900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PC5</th>\n",
       "      <td>91.611547</td>\n",
       "      <td>90.890894</td>\n",
       "      <td>91.184396</td>\n",
       "      <td>94.505493</td>\n",
       "      <td>93.312892</td>\n",
       "      <td>93.084239</td>\n",
       "      <td>92.169401</td>\n",
       "      <td>91.093997</td>\n",
       "      <td>92.373971</td>\n",
       "      <td>90.861056</td>\n",
       "      <td>...</td>\n",
       "      <td>89.548650</td>\n",
       "      <td>88.720966</td>\n",
       "      <td>86.525575</td>\n",
       "      <td>63.075198</td>\n",
       "      <td>84.344950</td>\n",
       "      <td>85.840815</td>\n",
       "      <td>93.573627</td>\n",
       "      <td>80.572202</td>\n",
       "      <td>76.758932</td>\n",
       "      <td>89.815669</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>6 rows × 401 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           0          1          2          3          4          5    \\\n",
       "PC0   0.000000   0.000000   0.000000   0.000000   0.000000   0.000000   \n",
       "PC1  22.710872  21.660941  24.633452  29.395892  32.929146  36.269480   \n",
       "PC2  37.041768  35.701940  39.251132  46.268708  45.824521  49.846358   \n",
       "PC3  59.549386  55.127538  55.861670  58.527133  55.416556  56.896679   \n",
       "PC4  84.409841  84.151860  85.759920  90.776563  88.410193  88.494435   \n",
       "PC5  91.611547  90.890894  91.184396  94.505493  93.312892  93.084239   \n",
       "\n",
       "           6          7          8          9    ...        391        392  \\\n",
       "PC0   0.000000   0.000000   0.000000   0.000000  ...   0.000000   0.000000   \n",
       "PC1  33.410238  36.056511  34.476418  31.650333  ...  81.508076  78.599717   \n",
       "PC2  41.555877  49.099234  44.884280  43.187382  ...  88.428120  85.245979   \n",
       "PC3  47.825787  56.688266  61.150641  68.928297  ...  88.968249  84.631048   \n",
       "PC4  85.189375  85.545819  87.891494  84.123411  ...  88.700223  85.085762   \n",
       "PC5  92.169401  91.093997  92.373971  90.861056  ...  89.548650  88.720966   \n",
       "\n",
       "           393        394        395        396        397        398  \\\n",
       "PC0   0.000000   0.000000   0.000000   0.000000   0.000000   0.000000   \n",
       "PC1  66.107833  23.652124  -0.308331  -2.210922   2.928987   0.323311   \n",
       "PC2  79.717190  66.259572  69.632602  50.840185  40.400170  38.230413   \n",
       "PC3  82.184860  66.422820  77.869434  63.746844  65.688602  63.197396   \n",
       "PC4  84.491970  66.990241  78.535613  67.574335  74.788183  78.349408   \n",
       "PC5  86.525575  63.075198  84.344950  85.840815  93.573627  80.572202   \n",
       "\n",
       "           399        400  \n",
       "PC0   0.000000   0.000000  \n",
       "PC1  -1.866828  -1.736965  \n",
       "PC2  67.908421  63.038326  \n",
       "PC3  69.828459  77.373464  \n",
       "PC4  78.462909  87.311900  \n",
       "PC5  76.758932  89.815669  \n",
       "\n",
       "[6 rows x 401 columns]"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get cumulative validated explained variance for each variable\n",
    "cumCalExplVar_ind = model.X_cumCalExplVar_indVar()\n",
    "\n",
    "# Get cumulative validated explained variance for each variable and store in pandas dataframe with row and column names\n",
    "cumValExplVar_ind_df = pd.DataFrame(model.X_cumValExplVar_indVar())\n",
    "#cumValExplVar_ind_df.columns = data_varNames\n",
    "cumValExplVar_ind_df.index = ['PC{0}'.format(x) for x in range(model.X_loadings().shape[1] + 1)]\n",
    "cumValExplVar_ind_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function X_cumValExplVar_indVar in module hoggorm.pca:\n",
      "\n",
      "X_cumValExplVar_indVar(self)\n",
      "    Returns an array holding the cumulative validated explained variance\n",
      "    for each variable in X after each component. First row represents\n",
      "    zero components, second row represents component 1, third row for\n",
      "    compnent 2, etc. Columns represent variables.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(ho.nipalsPCA.X_cumValExplVar_indVar)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
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       "      <th>391</th>\n",
       "      <th>392</th>\n",
       "      <th>393</th>\n",
       "      <th>394</th>\n",
       "      <th>395</th>\n",
       "      <th>396</th>\n",
       "      <th>397</th>\n",
       "      <th>398</th>\n",
       "      <th>399</th>\n",
       "      <th>400</th>\n",
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       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.052654</td>\n",
       "      <td>-0.047253</td>\n",
       "      <td>-0.043385</td>\n",
       "      <td>-0.038966</td>\n",
       "      <td>-0.034495</td>\n",
       "      <td>-0.032144</td>\n",
       "      <td>-0.030568</td>\n",
       "      <td>-0.033327</td>\n",
       "      <td>-0.036519</td>\n",
       "      <td>-0.039577</td>\n",
       "      <td>...</td>\n",
       "      <td>1.204576</td>\n",
       "      <td>1.215067</td>\n",
       "      <td>1.236509</td>\n",
       "      <td>1.252646</td>\n",
       "      <td>1.263053</td>\n",
       "      <td>1.264538</td>\n",
       "      <td>1.231093</td>\n",
       "      <td>1.225307</td>\n",
       "      <td>1.218563</td>\n",
       "      <td>1.201118</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.047475</td>\n",
       "      <td>-0.042245</td>\n",
       "      <td>-0.037951</td>\n",
       "      <td>-0.032718</td>\n",
       "      <td>-0.027856</td>\n",
       "      <td>-0.024933</td>\n",
       "      <td>-0.023602</td>\n",
       "      <td>-0.026006</td>\n",
       "      <td>-0.029788</td>\n",
       "      <td>-0.033307</td>\n",
       "      <td>...</td>\n",
       "      <td>1.140074</td>\n",
       "      <td>1.159301</td>\n",
       "      <td>1.185280</td>\n",
       "      <td>1.219966</td>\n",
       "      <td>1.249506</td>\n",
       "      <td>1.264172</td>\n",
       "      <td>1.209302</td>\n",
       "      <td>1.209640</td>\n",
       "      <td>1.216976</td>\n",
       "      <td>1.195430</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.048160</td>\n",
       "      <td>-0.043013</td>\n",
       "      <td>-0.038847</td>\n",
       "      <td>-0.033862</td>\n",
       "      <td>-0.029165</td>\n",
       "      <td>-0.026398</td>\n",
       "      <td>-0.025090</td>\n",
       "      <td>-0.027483</td>\n",
       "      <td>-0.031057</td>\n",
       "      <td>-0.034387</td>\n",
       "      <td>...</td>\n",
       "      <td>1.150832</td>\n",
       "      <td>1.168292</td>\n",
       "      <td>1.194591</td>\n",
       "      <td>1.225073</td>\n",
       "      <td>1.251362</td>\n",
       "      <td>1.265056</td>\n",
       "      <td>1.213313</td>\n",
       "      <td>1.213155</td>\n",
       "      <td>1.217364</td>\n",
       "      <td>1.195619</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.048993</td>\n",
       "      <td>-0.043709</td>\n",
       "      <td>-0.039550</td>\n",
       "      <td>-0.034547</td>\n",
       "      <td>-0.029842</td>\n",
       "      <td>-0.027097</td>\n",
       "      <td>-0.025709</td>\n",
       "      <td>-0.028282</td>\n",
       "      <td>-0.031926</td>\n",
       "      <td>-0.035339</td>\n",
       "      <td>...</td>\n",
       "      <td>1.159720</td>\n",
       "      <td>1.176811</td>\n",
       "      <td>1.202179</td>\n",
       "      <td>1.230568</td>\n",
       "      <td>1.253510</td>\n",
       "      <td>1.265437</td>\n",
       "      <td>1.217519</td>\n",
       "      <td>1.216286</td>\n",
       "      <td>1.217592</td>\n",
       "      <td>1.197049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.054901</td>\n",
       "      <td>-0.049436</td>\n",
       "      <td>-0.045730</td>\n",
       "      <td>-0.041604</td>\n",
       "      <td>-0.037243</td>\n",
       "      <td>-0.035085</td>\n",
       "      <td>-0.033372</td>\n",
       "      <td>-0.036204</td>\n",
       "      <td>-0.039167</td>\n",
       "      <td>-0.042003</td>\n",
       "      <td>...</td>\n",
       "      <td>1.229091</td>\n",
       "      <td>1.237254</td>\n",
       "      <td>1.256051</td>\n",
       "      <td>1.264647</td>\n",
       "      <td>1.266633</td>\n",
       "      <td>1.262159</td>\n",
       "      <td>1.240285</td>\n",
       "      <td>1.230951</td>\n",
       "      <td>1.218680</td>\n",
       "      <td>1.203491</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>-0.051742</td>\n",
       "      <td>-0.046399</td>\n",
       "      <td>-0.042469</td>\n",
       "      <td>-0.037919</td>\n",
       "      <td>-0.033391</td>\n",
       "      <td>-0.030948</td>\n",
       "      <td>-0.029415</td>\n",
       "      <td>-0.032108</td>\n",
       "      <td>-0.035405</td>\n",
       "      <td>-0.038539</td>\n",
       "      <td>...</td>\n",
       "      <td>1.192850</td>\n",
       "      <td>1.205387</td>\n",
       "      <td>1.227701</td>\n",
       "      <td>1.246833</td>\n",
       "      <td>1.260031</td>\n",
       "      <td>1.264153</td>\n",
       "      <td>1.227957</td>\n",
       "      <td>1.223175</td>\n",
       "      <td>1.218755</td>\n",
       "      <td>1.200373</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.054114</td>\n",
       "      <td>-0.048671</td>\n",
       "      <td>-0.044907</td>\n",
       "      <td>-0.040678</td>\n",
       "      <td>-0.036286</td>\n",
       "      <td>-0.034081</td>\n",
       "      <td>-0.032450</td>\n",
       "      <td>-0.035264</td>\n",
       "      <td>-0.038304</td>\n",
       "      <td>-0.041197</td>\n",
       "      <td>...</td>\n",
       "      <td>1.220707</td>\n",
       "      <td>1.229692</td>\n",
       "      <td>1.249463</td>\n",
       "      <td>1.260550</td>\n",
       "      <td>1.265708</td>\n",
       "      <td>1.263024</td>\n",
       "      <td>1.237448</td>\n",
       "      <td>1.229354</td>\n",
       "      <td>1.219030</td>\n",
       "      <td>1.202849</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>-0.050596</td>\n",
       "      <td>-0.045307</td>\n",
       "      <td>-0.041314</td>\n",
       "      <td>-0.036630</td>\n",
       "      <td>-0.032055</td>\n",
       "      <td>-0.029521</td>\n",
       "      <td>-0.028038</td>\n",
       "      <td>-0.030657</td>\n",
       "      <td>-0.034040</td>\n",
       "      <td>-0.037225</td>\n",
       "      <td>...</td>\n",
       "      <td>1.179995</td>\n",
       "      <td>1.194176</td>\n",
       "      <td>1.217751</td>\n",
       "      <td>1.240628</td>\n",
       "      <td>1.258077</td>\n",
       "      <td>1.264336</td>\n",
       "      <td>1.223809</td>\n",
       "      <td>1.220514</td>\n",
       "      <td>1.218559</td>\n",
       "      <td>1.199847</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-0.053225</td>\n",
       "      <td>-0.047823</td>\n",
       "      <td>-0.044000</td>\n",
       "      <td>-0.039660</td>\n",
       "      <td>-0.035221</td>\n",
       "      <td>-0.032936</td>\n",
       "      <td>-0.031338</td>\n",
       "      <td>-0.034103</td>\n",
       "      <td>-0.037231</td>\n",
       "      <td>-0.040201</td>\n",
       "      <td>...</td>\n",
       "      <td>1.210842</td>\n",
       "      <td>1.221006</td>\n",
       "      <td>1.241755</td>\n",
       "      <td>1.255860</td>\n",
       "      <td>1.263868</td>\n",
       "      <td>1.263652</td>\n",
       "      <td>1.234152</td>\n",
       "      <td>1.227244</td>\n",
       "      <td>1.219112</td>\n",
       "      <td>1.202090</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-0.054279</td>\n",
       "      <td>-0.048829</td>\n",
       "      <td>-0.045078</td>\n",
       "      <td>-0.040876</td>\n",
       "      <td>-0.036489</td>\n",
       "      <td>-0.034311</td>\n",
       "      <td>-0.032660</td>\n",
       "      <td>-0.035482</td>\n",
       "      <td>-0.038508</td>\n",
       "      <td>-0.041383</td>\n",
       "      <td>...</td>\n",
       "      <td>1.223016</td>\n",
       "      <td>1.231621</td>\n",
       "      <td>1.251305</td>\n",
       "      <td>1.261676</td>\n",
       "      <td>1.266167</td>\n",
       "      <td>1.262965</td>\n",
       "      <td>1.238314</td>\n",
       "      <td>1.229963</td>\n",
       "      <td>1.219180</td>\n",
       "      <td>1.203228</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>-0.056608</td>\n",
       "      <td>-0.051037</td>\n",
       "      <td>-0.047434</td>\n",
       "      <td>-0.043545</td>\n",
       "      <td>-0.039261</td>\n",
       "      <td>-0.037275</td>\n",
       "      <td>-0.035505</td>\n",
       "      <td>-0.038459</td>\n",
       "      <td>-0.041296</td>\n",
       "      <td>-0.043968</td>\n",
       "      <td>...</td>\n",
       "      <td>1.248120</td>\n",
       "      <td>1.254471</td>\n",
       "      <td>1.271578</td>\n",
       "      <td>1.274293</td>\n",
       "      <td>1.269925</td>\n",
       "      <td>1.259988</td>\n",
       "      <td>1.247542</td>\n",
       "      <td>1.235868</td>\n",
       "      <td>1.219169</td>\n",
       "      <td>1.205495</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>-0.054549</td>\n",
       "      <td>-0.049090</td>\n",
       "      <td>-0.045344</td>\n",
       "      <td>-0.041185</td>\n",
       "      <td>-0.036812</td>\n",
       "      <td>-0.034641</td>\n",
       "      <td>-0.032996</td>\n",
       "      <td>-0.035814</td>\n",
       "      <td>-0.038825</td>\n",
       "      <td>-0.041716</td>\n",
       "      <td>...</td>\n",
       "      <td>1.225591</td>\n",
       "      <td>1.233629</td>\n",
       "      <td>1.252665</td>\n",
       "      <td>1.262470</td>\n",
       "      <td>1.265523</td>\n",
       "      <td>1.264272</td>\n",
       "      <td>1.238503</td>\n",
       "      <td>1.229731</td>\n",
       "      <td>1.219115</td>\n",
       "      <td>1.202677</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>-0.050908</td>\n",
       "      <td>-0.045569</td>\n",
       "      <td>-0.041593</td>\n",
       "      <td>-0.036948</td>\n",
       "      <td>-0.032373</td>\n",
       "      <td>-0.029853</td>\n",
       "      <td>-0.028361</td>\n",
       "      <td>-0.031005</td>\n",
       "      <td>-0.034369</td>\n",
       "      <td>-0.037559</td>\n",
       "      <td>...</td>\n",
       "      <td>1.182853</td>\n",
       "      <td>1.196213</td>\n",
       "      <td>1.219559</td>\n",
       "      <td>1.241581</td>\n",
       "      <td>1.257947</td>\n",
       "      <td>1.265327</td>\n",
       "      <td>1.224176</td>\n",
       "      <td>1.220392</td>\n",
       "      <td>1.218778</td>\n",
       "      <td>1.198834</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>-0.048885</td>\n",
       "      <td>-0.043686</td>\n",
       "      <td>-0.039564</td>\n",
       "      <td>-0.034683</td>\n",
       "      <td>-0.029987</td>\n",
       "      <td>-0.027266</td>\n",
       "      <td>-0.025915</td>\n",
       "      <td>-0.028403</td>\n",
       "      <td>-0.031930</td>\n",
       "      <td>-0.035245</td>\n",
       "      <td>...</td>\n",
       "      <td>1.159500</td>\n",
       "      <td>1.176465</td>\n",
       "      <td>1.201753</td>\n",
       "      <td>1.231145</td>\n",
       "      <td>1.254843</td>\n",
       "      <td>1.266980</td>\n",
       "      <td>1.218474</td>\n",
       "      <td>1.217215</td>\n",
       "      <td>1.219020</td>\n",
       "      <td>1.198370</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>-0.046766</td>\n",
       "      <td>-0.041815</td>\n",
       "      <td>-0.037483</td>\n",
       "      <td>-0.032258</td>\n",
       "      <td>-0.027576</td>\n",
       "      <td>-0.024561</td>\n",
       "      <td>-0.023485</td>\n",
       "      <td>-0.025645</td>\n",
       "      <td>-0.029256</td>\n",
       "      <td>-0.032611</td>\n",
       "      <td>...</td>\n",
       "      <td>1.131729</td>\n",
       "      <td>1.148309</td>\n",
       "      <td>1.177782</td>\n",
       "      <td>1.215363</td>\n",
       "      <td>1.249687</td>\n",
       "      <td>1.267777</td>\n",
       "      <td>1.199994</td>\n",
       "      <td>1.208301</td>\n",
       "      <td>1.217845</td>\n",
       "      <td>1.195189</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>-0.052977</td>\n",
       "      <td>-0.047570</td>\n",
       "      <td>-0.043724</td>\n",
       "      <td>-0.039334</td>\n",
       "      <td>-0.034881</td>\n",
       "      <td>-0.032562</td>\n",
       "      <td>-0.030977</td>\n",
       "      <td>-0.033729</td>\n",
       "      <td>-0.036901</td>\n",
       "      <td>-0.039918</td>\n",
       "      <td>...</td>\n",
       "      <td>1.207475</td>\n",
       "      <td>1.217680</td>\n",
       "      <td>1.238999</td>\n",
       "      <td>1.253922</td>\n",
       "      <td>1.262887</td>\n",
       "      <td>1.263568</td>\n",
       "      <td>1.232085</td>\n",
       "      <td>1.226166</td>\n",
       "      <td>1.218458</td>\n",
       "      <td>1.201334</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-0.053816</td>\n",
       "      <td>-0.048388</td>\n",
       "      <td>-0.044600</td>\n",
       "      <td>-0.040340</td>\n",
       "      <td>-0.035940</td>\n",
       "      <td>-0.033709</td>\n",
       "      <td>-0.032084</td>\n",
       "      <td>-0.034877</td>\n",
       "      <td>-0.037952</td>\n",
       "      <td>-0.040866</td>\n",
       "      <td>...</td>\n",
       "      <td>1.218090</td>\n",
       "      <td>1.227185</td>\n",
       "      <td>1.247294</td>\n",
       "      <td>1.259450</td>\n",
       "      <td>1.265157</td>\n",
       "      <td>1.263902</td>\n",
       "      <td>1.236617</td>\n",
       "      <td>1.228605</td>\n",
       "      <td>1.219550</td>\n",
       "      <td>1.202496</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>-0.053305</td>\n",
       "      <td>-0.047895</td>\n",
       "      <td>-0.044080</td>\n",
       "      <td>-0.039759</td>\n",
       "      <td>-0.035344</td>\n",
       "      <td>-0.033066</td>\n",
       "      <td>-0.031463</td>\n",
       "      <td>-0.034231</td>\n",
       "      <td>-0.037348</td>\n",
       "      <td>-0.040303</td>\n",
       "      <td>...</td>\n",
       "      <td>1.213041</td>\n",
       "      <td>1.222856</td>\n",
       "      <td>1.243361</td>\n",
       "      <td>1.256781</td>\n",
       "      <td>1.264343</td>\n",
       "      <td>1.263839</td>\n",
       "      <td>1.234888</td>\n",
       "      <td>1.227866</td>\n",
       "      <td>1.219047</td>\n",
       "      <td>1.202331</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>-0.050754</td>\n",
       "      <td>-0.045454</td>\n",
       "      <td>-0.041460</td>\n",
       "      <td>-0.036807</td>\n",
       "      <td>-0.032240</td>\n",
       "      <td>-0.029708</td>\n",
       "      <td>-0.028219</td>\n",
       "      <td>-0.030860</td>\n",
       "      <td>-0.034242</td>\n",
       "      <td>-0.037454</td>\n",
       "      <td>...</td>\n",
       "      <td>1.184125</td>\n",
       "      <td>1.197849</td>\n",
       "      <td>1.221089</td>\n",
       "      <td>1.242831</td>\n",
       "      <td>1.258917</td>\n",
       "      <td>1.264636</td>\n",
       "      <td>1.225379</td>\n",
       "      <td>1.221517</td>\n",
       "      <td>1.219135</td>\n",
       "      <td>1.200170</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>-0.050816</td>\n",
       "      <td>-0.045509</td>\n",
       "      <td>-0.041527</td>\n",
       "      <td>-0.036877</td>\n",
       "      <td>-0.032326</td>\n",
       "      <td>-0.029822</td>\n",
       "      <td>-0.028326</td>\n",
       "      <td>-0.030989</td>\n",
       "      <td>-0.034329</td>\n",
       "      <td>-0.037497</td>\n",
       "      <td>...</td>\n",
       "      <td>1.184356</td>\n",
       "      <td>1.197976</td>\n",
       "      <td>1.221149</td>\n",
       "      <td>1.242749</td>\n",
       "      <td>1.258797</td>\n",
       "      <td>1.264667</td>\n",
       "      <td>1.225422</td>\n",
       "      <td>1.221602</td>\n",
       "      <td>1.218767</td>\n",
       "      <td>1.199940</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>-0.053067</td>\n",
       "      <td>-0.047647</td>\n",
       "      <td>-0.043817</td>\n",
       "      <td>-0.039471</td>\n",
       "      <td>-0.035032</td>\n",
       "      <td>-0.032727</td>\n",
       "      <td>-0.031137</td>\n",
       "      <td>-0.033889</td>\n",
       "      <td>-0.037034</td>\n",
       "      <td>-0.040023</td>\n",
       "      <td>...</td>\n",
       "      <td>1.210477</td>\n",
       "      <td>1.220377</td>\n",
       "      <td>1.241080</td>\n",
       "      <td>1.255421</td>\n",
       "      <td>1.263535</td>\n",
       "      <td>1.264751</td>\n",
       "      <td>1.233761</td>\n",
       "      <td>1.226787</td>\n",
       "      <td>1.219418</td>\n",
       "      <td>1.201828</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>-0.052265</td>\n",
       "      <td>-0.046892</td>\n",
       "      <td>-0.042988</td>\n",
       "      <td>-0.038495</td>\n",
       "      <td>-0.034001</td>\n",
       "      <td>-0.031588</td>\n",
       "      <td>-0.030047</td>\n",
       "      <td>-0.032750</td>\n",
       "      <td>-0.035994</td>\n",
       "      <td>-0.039074</td>\n",
       "      <td>...</td>\n",
       "      <td>1.197787</td>\n",
       "      <td>1.209399</td>\n",
       "      <td>1.231306</td>\n",
       "      <td>1.249094</td>\n",
       "      <td>1.260840</td>\n",
       "      <td>1.265138</td>\n",
       "      <td>1.229399</td>\n",
       "      <td>1.223994</td>\n",
       "      <td>1.219021</td>\n",
       "      <td>1.200658</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>-0.051908</td>\n",
       "      <td>-0.046554</td>\n",
       "      <td>-0.042645</td>\n",
       "      <td>-0.038149</td>\n",
       "      <td>-0.033654</td>\n",
       "      <td>-0.031238</td>\n",
       "      <td>-0.029691</td>\n",
       "      <td>-0.032394</td>\n",
       "      <td>-0.035651</td>\n",
       "      <td>-0.038735</td>\n",
       "      <td>...</td>\n",
       "      <td>1.197082</td>\n",
       "      <td>1.208912</td>\n",
       "      <td>1.230868</td>\n",
       "      <td>1.249047</td>\n",
       "      <td>1.261171</td>\n",
       "      <td>1.265612</td>\n",
       "      <td>1.229310</td>\n",
       "      <td>1.224021</td>\n",
       "      <td>1.219344</td>\n",
       "      <td>1.200709</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>-0.052412</td>\n",
       "      <td>-0.047040</td>\n",
       "      <td>-0.043166</td>\n",
       "      <td>-0.038728</td>\n",
       "      <td>-0.034264</td>\n",
       "      <td>-0.031899</td>\n",
       "      <td>-0.030336</td>\n",
       "      <td>-0.033056</td>\n",
       "      <td>-0.036261</td>\n",
       "      <td>-0.039305</td>\n",
       "      <td>...</td>\n",
       "      <td>1.202808</td>\n",
       "      <td>1.213789</td>\n",
       "      <td>1.235335</td>\n",
       "      <td>1.251729</td>\n",
       "      <td>1.262283</td>\n",
       "      <td>1.265011</td>\n",
       "      <td>1.231141</td>\n",
       "      <td>1.225187</td>\n",
       "      <td>1.219287</td>\n",
       "      <td>1.201242</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>-0.052309</td>\n",
       "      <td>-0.046941</td>\n",
       "      <td>-0.043054</td>\n",
       "      <td>-0.038602</td>\n",
       "      <td>-0.034135</td>\n",
       "      <td>-0.031760</td>\n",
       "      <td>-0.030199</td>\n",
       "      <td>-0.032916</td>\n",
       "      <td>-0.036130</td>\n",
       "      <td>-0.039185</td>\n",
       "      <td>...</td>\n",
       "      <td>1.201561</td>\n",
       "      <td>1.212815</td>\n",
       "      <td>1.234440</td>\n",
       "      <td>1.251183</td>\n",
       "      <td>1.261981</td>\n",
       "      <td>1.264664</td>\n",
       "      <td>1.230873</td>\n",
       "      <td>1.224894</td>\n",
       "      <td>1.219295</td>\n",
       "      <td>1.201253</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>-0.053465</td>\n",
       "      <td>-0.048050</td>\n",
       "      <td>-0.044253</td>\n",
       "      <td>-0.039940</td>\n",
       "      <td>-0.035531</td>\n",
       "      <td>-0.033269</td>\n",
       "      <td>-0.031657</td>\n",
       "      <td>-0.034440</td>\n",
       "      <td>-0.037538</td>\n",
       "      <td>-0.040486</td>\n",
       "      <td>...</td>\n",
       "      <td>1.214408</td>\n",
       "      <td>1.224003</td>\n",
       "      <td>1.244415</td>\n",
       "      <td>1.257315</td>\n",
       "      <td>1.264415</td>\n",
       "      <td>1.263389</td>\n",
       "      <td>1.235152</td>\n",
       "      <td>1.227707</td>\n",
       "      <td>1.218784</td>\n",
       "      <td>1.202335</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>-0.052613</td>\n",
       "      <td>-0.047226</td>\n",
       "      <td>-0.043368</td>\n",
       "      <td>-0.038941</td>\n",
       "      <td>-0.034483</td>\n",
       "      <td>-0.032138</td>\n",
       "      <td>-0.030559</td>\n",
       "      <td>-0.033300</td>\n",
       "      <td>-0.036488</td>\n",
       "      <td>-0.039524</td>\n",
       "      <td>...</td>\n",
       "      <td>1.204892</td>\n",
       "      <td>1.215770</td>\n",
       "      <td>1.237039</td>\n",
       "      <td>1.252950</td>\n",
       "      <td>1.262768</td>\n",
       "      <td>1.264066</td>\n",
       "      <td>1.232154</td>\n",
       "      <td>1.225901</td>\n",
       "      <td>1.219032</td>\n",
       "      <td>1.201754</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>-0.053183</td>\n",
       "      <td>-0.047777</td>\n",
       "      <td>-0.043958</td>\n",
       "      <td>-0.039606</td>\n",
       "      <td>-0.035180</td>\n",
       "      <td>-0.032895</td>\n",
       "      <td>-0.031294</td>\n",
       "      <td>-0.034066</td>\n",
       "      <td>-0.037194</td>\n",
       "      <td>-0.040180</td>\n",
       "      <td>...</td>\n",
       "      <td>1.211742</td>\n",
       "      <td>1.221735</td>\n",
       "      <td>1.242364</td>\n",
       "      <td>1.256032</td>\n",
       "      <td>1.263922</td>\n",
       "      <td>1.263602</td>\n",
       "      <td>1.234276</td>\n",
       "      <td>1.227265</td>\n",
       "      <td>1.218747</td>\n",
       "      <td>1.202117</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>-0.052518</td>\n",
       "      <td>-0.047136</td>\n",
       "      <td>-0.043276</td>\n",
       "      <td>-0.038835</td>\n",
       "      <td>-0.034372</td>\n",
       "      <td>-0.032020</td>\n",
       "      <td>-0.030443</td>\n",
       "      <td>-0.033188</td>\n",
       "      <td>-0.036382</td>\n",
       "      <td>-0.039423</td>\n",
       "      <td>...</td>\n",
       "      <td>1.203951</td>\n",
       "      <td>1.214817</td>\n",
       "      <td>1.236316</td>\n",
       "      <td>1.252414</td>\n",
       "      <td>1.262577</td>\n",
       "      <td>1.263980</td>\n",
       "      <td>1.231662</td>\n",
       "      <td>1.225628</td>\n",
       "      <td>1.218909</td>\n",
       "      <td>1.201611</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>-0.053914</td>\n",
       "      <td>-0.048467</td>\n",
       "      <td>-0.044699</td>\n",
       "      <td>-0.040442</td>\n",
       "      <td>-0.036066</td>\n",
       "      <td>-0.033849</td>\n",
       "      <td>-0.032214</td>\n",
       "      <td>-0.035025</td>\n",
       "      <td>-0.038079</td>\n",
       "      <td>-0.040992</td>\n",
       "      <td>...</td>\n",
       "      <td>1.220123</td>\n",
       "      <td>1.229078</td>\n",
       "      <td>1.248838</td>\n",
       "      <td>1.260188</td>\n",
       "      <td>1.265382</td>\n",
       "      <td>1.262821</td>\n",
       "      <td>1.237010</td>\n",
       "      <td>1.228932</td>\n",
       "      <td>1.218977</td>\n",
       "      <td>1.202612</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>-0.053292</td>\n",
       "      <td>-0.047869</td>\n",
       "      <td>-0.044057</td>\n",
       "      <td>-0.039724</td>\n",
       "      <td>-0.035309</td>\n",
       "      <td>-0.033029</td>\n",
       "      <td>-0.031422</td>\n",
       "      <td>-0.034203</td>\n",
       "      <td>-0.037321</td>\n",
       "      <td>-0.040289</td>\n",
       "      <td>...</td>\n",
       "      <td>1.212795</td>\n",
       "      <td>1.222617</td>\n",
       "      <td>1.243174</td>\n",
       "      <td>1.256607</td>\n",
       "      <td>1.264139</td>\n",
       "      <td>1.263495</td>\n",
       "      <td>1.234614</td>\n",
       "      <td>1.227328</td>\n",
       "      <td>1.218981</td>\n",
       "      <td>1.202128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>-0.050684</td>\n",
       "      <td>-0.045380</td>\n",
       "      <td>-0.041401</td>\n",
       "      <td>-0.036716</td>\n",
       "      <td>-0.032153</td>\n",
       "      <td>-0.029626</td>\n",
       "      <td>-0.028120</td>\n",
       "      <td>-0.030785</td>\n",
       "      <td>-0.034175</td>\n",
       "      <td>-0.037401</td>\n",
       "      <td>...</td>\n",
       "      <td>1.183294</td>\n",
       "      <td>1.196977</td>\n",
       "      <td>1.220493</td>\n",
       "      <td>1.242160</td>\n",
       "      <td>1.258437</td>\n",
       "      <td>1.264593</td>\n",
       "      <td>1.224951</td>\n",
       "      <td>1.220899</td>\n",
       "      <td>1.218941</td>\n",
       "      <td>1.199792</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>-0.051118</td>\n",
       "      <td>-0.045786</td>\n",
       "      <td>-0.041831</td>\n",
       "      <td>-0.037211</td>\n",
       "      <td>-0.032680</td>\n",
       "      <td>-0.030194</td>\n",
       "      <td>-0.028671</td>\n",
       "      <td>-0.031354</td>\n",
       "      <td>-0.034693</td>\n",
       "      <td>-0.037875</td>\n",
       "      <td>...</td>\n",
       "      <td>1.188694</td>\n",
       "      <td>1.201840</td>\n",
       "      <td>1.224590</td>\n",
       "      <td>1.245032</td>\n",
       "      <td>1.259768</td>\n",
       "      <td>1.264670</td>\n",
       "      <td>1.226905</td>\n",
       "      <td>1.222380</td>\n",
       "      <td>1.218889</td>\n",
       "      <td>1.200487</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>-0.050592</td>\n",
       "      <td>-0.045285</td>\n",
       "      <td>-0.041314</td>\n",
       "      <td>-0.036612</td>\n",
       "      <td>-0.032050</td>\n",
       "      <td>-0.029510</td>\n",
       "      <td>-0.028001</td>\n",
       "      <td>-0.030663</td>\n",
       "      <td>-0.034060</td>\n",
       "      <td>-0.037302</td>\n",
       "      <td>...</td>\n",
       "      <td>1.182343</td>\n",
       "      <td>1.196200</td>\n",
       "      <td>1.219672</td>\n",
       "      <td>1.241871</td>\n",
       "      <td>1.258405</td>\n",
       "      <td>1.264915</td>\n",
       "      <td>1.224751</td>\n",
       "      <td>1.221056</td>\n",
       "      <td>1.218760</td>\n",
       "      <td>1.199645</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>-0.050997</td>\n",
       "      <td>-0.045690</td>\n",
       "      <td>-0.041706</td>\n",
       "      <td>-0.037086</td>\n",
       "      <td>-0.032527</td>\n",
       "      <td>-0.030044</td>\n",
       "      <td>-0.028504</td>\n",
       "      <td>-0.031198</td>\n",
       "      <td>-0.034539</td>\n",
       "      <td>-0.037750</td>\n",
       "      <td>...</td>\n",
       "      <td>1.186630</td>\n",
       "      <td>1.199939</td>\n",
       "      <td>1.222852</td>\n",
       "      <td>1.243726</td>\n",
       "      <td>1.259119</td>\n",
       "      <td>1.264361</td>\n",
       "      <td>1.226002</td>\n",
       "      <td>1.221642</td>\n",
       "      <td>1.218533</td>\n",
       "      <td>1.199600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>-0.053682</td>\n",
       "      <td>-0.048246</td>\n",
       "      <td>-0.044460</td>\n",
       "      <td>-0.040169</td>\n",
       "      <td>-0.035776</td>\n",
       "      <td>-0.033537</td>\n",
       "      <td>-0.031935</td>\n",
       "      <td>-0.034711</td>\n",
       "      <td>-0.037797</td>\n",
       "      <td>-0.040704</td>\n",
       "      <td>...</td>\n",
       "      <td>1.217431</td>\n",
       "      <td>1.226421</td>\n",
       "      <td>1.246357</td>\n",
       "      <td>1.258627</td>\n",
       "      <td>1.264801</td>\n",
       "      <td>1.264627</td>\n",
       "      <td>1.235814</td>\n",
       "      <td>1.228358</td>\n",
       "      <td>1.219312</td>\n",
       "      <td>1.202382</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>-0.052996</td>\n",
       "      <td>-0.047596</td>\n",
       "      <td>-0.043762</td>\n",
       "      <td>-0.039366</td>\n",
       "      <td>-0.034928</td>\n",
       "      <td>-0.032623</td>\n",
       "      <td>-0.031025</td>\n",
       "      <td>-0.033784</td>\n",
       "      <td>-0.036937</td>\n",
       "      <td>-0.039969</td>\n",
       "      <td>...</td>\n",
       "      <td>1.208743</td>\n",
       "      <td>1.218976</td>\n",
       "      <td>1.239773</td>\n",
       "      <td>1.254380</td>\n",
       "      <td>1.263183</td>\n",
       "      <td>1.263457</td>\n",
       "      <td>1.233184</td>\n",
       "      <td>1.226188</td>\n",
       "      <td>1.218708</td>\n",
       "      <td>1.201518</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>-0.054023</td>\n",
       "      <td>-0.048591</td>\n",
       "      <td>-0.044817</td>\n",
       "      <td>-0.040563</td>\n",
       "      <td>-0.036170</td>\n",
       "      <td>-0.033981</td>\n",
       "      <td>-0.032344</td>\n",
       "      <td>-0.035163</td>\n",
       "      <td>-0.038180</td>\n",
       "      <td>-0.041102</td>\n",
       "      <td>...</td>\n",
       "      <td>1.220186</td>\n",
       "      <td>1.228501</td>\n",
       "      <td>1.248661</td>\n",
       "      <td>1.259852</td>\n",
       "      <td>1.265227</td>\n",
       "      <td>1.262804</td>\n",
       "      <td>1.235477</td>\n",
       "      <td>1.228574</td>\n",
       "      <td>1.218583</td>\n",
       "      <td>1.201640</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>-0.051350</td>\n",
       "      <td>-0.046025</td>\n",
       "      <td>-0.042087</td>\n",
       "      <td>-0.037475</td>\n",
       "      <td>-0.032962</td>\n",
       "      <td>-0.030485</td>\n",
       "      <td>-0.028965</td>\n",
       "      <td>-0.031669</td>\n",
       "      <td>-0.034931</td>\n",
       "      <td>-0.038093</td>\n",
       "      <td>...</td>\n",
       "      <td>1.189470</td>\n",
       "      <td>1.201900</td>\n",
       "      <td>1.224967</td>\n",
       "      <td>1.245129</td>\n",
       "      <td>1.259285</td>\n",
       "      <td>1.263994</td>\n",
       "      <td>1.224712</td>\n",
       "      <td>1.222004</td>\n",
       "      <td>1.218445</td>\n",
       "      <td>1.198990</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>-0.053416</td>\n",
       "      <td>-0.048008</td>\n",
       "      <td>-0.044210</td>\n",
       "      <td>-0.039876</td>\n",
       "      <td>-0.035462</td>\n",
       "      <td>-0.033212</td>\n",
       "      <td>-0.031593</td>\n",
       "      <td>-0.034384</td>\n",
       "      <td>-0.037475</td>\n",
       "      <td>-0.040435</td>\n",
       "      <td>...</td>\n",
       "      <td>1.213979</td>\n",
       "      <td>1.223132</td>\n",
       "      <td>1.243966</td>\n",
       "      <td>1.257054</td>\n",
       "      <td>1.264091</td>\n",
       "      <td>1.263227</td>\n",
       "      <td>1.233351</td>\n",
       "      <td>1.227364</td>\n",
       "      <td>1.218552</td>\n",
       "      <td>1.201515</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>-0.058163</td>\n",
       "      <td>-0.052633</td>\n",
       "      <td>-0.049038</td>\n",
       "      <td>-0.045234</td>\n",
       "      <td>-0.041085</td>\n",
       "      <td>-0.039233</td>\n",
       "      <td>-0.037524</td>\n",
       "      <td>-0.040408</td>\n",
       "      <td>-0.043103</td>\n",
       "      <td>-0.045639</td>\n",
       "      <td>...</td>\n",
       "      <td>1.261598</td>\n",
       "      <td>1.265987</td>\n",
       "      <td>1.280780</td>\n",
       "      <td>1.280134</td>\n",
       "      <td>1.270146</td>\n",
       "      <td>1.263052</td>\n",
       "      <td>1.251149</td>\n",
       "      <td>1.236879</td>\n",
       "      <td>1.218122</td>\n",
       "      <td>1.204033</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>-0.055466</td>\n",
       "      <td>-0.049996</td>\n",
       "      <td>-0.046305</td>\n",
       "      <td>-0.042226</td>\n",
       "      <td>-0.037918</td>\n",
       "      <td>-0.035835</td>\n",
       "      <td>-0.034130</td>\n",
       "      <td>-0.036998</td>\n",
       "      <td>-0.039913</td>\n",
       "      <td>-0.042704</td>\n",
       "      <td>...</td>\n",
       "      <td>1.235488</td>\n",
       "      <td>1.242533</td>\n",
       "      <td>1.261031</td>\n",
       "      <td>1.267759</td>\n",
       "      <td>1.268183</td>\n",
       "      <td>1.263236</td>\n",
       "      <td>1.242219</td>\n",
       "      <td>1.232297</td>\n",
       "      <td>1.218644</td>\n",
       "      <td>1.203970</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>-0.053980</td>\n",
       "      <td>-0.048542</td>\n",
       "      <td>-0.044757</td>\n",
       "      <td>-0.040478</td>\n",
       "      <td>-0.036077</td>\n",
       "      <td>-0.033853</td>\n",
       "      <td>-0.032225</td>\n",
       "      <td>-0.035048</td>\n",
       "      <td>-0.038075</td>\n",
       "      <td>-0.041017</td>\n",
       "      <td>...</td>\n",
       "      <td>1.218347</td>\n",
       "      <td>1.226732</td>\n",
       "      <td>1.247096</td>\n",
       "      <td>1.259111</td>\n",
       "      <td>1.264862</td>\n",
       "      <td>1.262902</td>\n",
       "      <td>1.235320</td>\n",
       "      <td>1.228055</td>\n",
       "      <td>1.218466</td>\n",
       "      <td>1.202203</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>-0.051606</td>\n",
       "      <td>-0.046281</td>\n",
       "      <td>-0.042337</td>\n",
       "      <td>-0.037753</td>\n",
       "      <td>-0.033232</td>\n",
       "      <td>-0.030788</td>\n",
       "      <td>-0.029253</td>\n",
       "      <td>-0.031969</td>\n",
       "      <td>-0.035251</td>\n",
       "      <td>-0.038406</td>\n",
       "      <td>...</td>\n",
       "      <td>1.192168</td>\n",
       "      <td>1.204148</td>\n",
       "      <td>1.227089</td>\n",
       "      <td>1.246454</td>\n",
       "      <td>1.259873</td>\n",
       "      <td>1.263954</td>\n",
       "      <td>1.226282</td>\n",
       "      <td>1.222591</td>\n",
       "      <td>1.218423</td>\n",
       "      <td>1.199552</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>-0.055375</td>\n",
       "      <td>-0.049900</td>\n",
       "      <td>-0.046203</td>\n",
       "      <td>-0.042145</td>\n",
       "      <td>-0.037856</td>\n",
       "      <td>-0.035781</td>\n",
       "      <td>-0.034116</td>\n",
       "      <td>-0.036953</td>\n",
       "      <td>-0.039871</td>\n",
       "      <td>-0.042636</td>\n",
       "      <td>...</td>\n",
       "      <td>1.237420</td>\n",
       "      <td>1.243388</td>\n",
       "      <td>1.262329</td>\n",
       "      <td>1.268331</td>\n",
       "      <td>1.268287</td>\n",
       "      <td>1.261699</td>\n",
       "      <td>1.242737</td>\n",
       "      <td>1.232274</td>\n",
       "      <td>1.218482</td>\n",
       "      <td>1.204230</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>-0.054917</td>\n",
       "      <td>-0.049468</td>\n",
       "      <td>-0.045761</td>\n",
       "      <td>-0.041708</td>\n",
       "      <td>-0.037371</td>\n",
       "      <td>-0.035314</td>\n",
       "      <td>-0.033610</td>\n",
       "      <td>-0.036478</td>\n",
       "      <td>-0.039390</td>\n",
       "      <td>-0.042187</td>\n",
       "      <td>...</td>\n",
       "      <td>1.235579</td>\n",
       "      <td>1.241753</td>\n",
       "      <td>1.259459</td>\n",
       "      <td>1.267400</td>\n",
       "      <td>1.267824</td>\n",
       "      <td>1.261871</td>\n",
       "      <td>1.239520</td>\n",
       "      <td>1.231925</td>\n",
       "      <td>1.218229</td>\n",
       "      <td>1.202607</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>-0.054924</td>\n",
       "      <td>-0.049438</td>\n",
       "      <td>-0.045741</td>\n",
       "      <td>-0.041651</td>\n",
       "      <td>-0.037340</td>\n",
       "      <td>-0.035232</td>\n",
       "      <td>-0.033574</td>\n",
       "      <td>-0.036415</td>\n",
       "      <td>-0.039333</td>\n",
       "      <td>-0.042148</td>\n",
       "      <td>...</td>\n",
       "      <td>1.233955</td>\n",
       "      <td>1.240245</td>\n",
       "      <td>1.258309</td>\n",
       "      <td>1.266659</td>\n",
       "      <td>1.267548</td>\n",
       "      <td>1.261268</td>\n",
       "      <td>1.238425</td>\n",
       "      <td>1.228436</td>\n",
       "      <td>1.217939</td>\n",
       "      <td>1.201970</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>-0.053121</td>\n",
       "      <td>-0.047723</td>\n",
       "      <td>-0.043905</td>\n",
       "      <td>-0.039554</td>\n",
       "      <td>-0.035155</td>\n",
       "      <td>-0.032870</td>\n",
       "      <td>-0.031276</td>\n",
       "      <td>-0.034022</td>\n",
       "      <td>-0.037132</td>\n",
       "      <td>-0.040108</td>\n",
       "      <td>...</td>\n",
       "      <td>1.212072</td>\n",
       "      <td>1.221754</td>\n",
       "      <td>1.242160</td>\n",
       "      <td>1.256395</td>\n",
       "      <td>1.264122</td>\n",
       "      <td>1.263852</td>\n",
       "      <td>1.233160</td>\n",
       "      <td>1.225954</td>\n",
       "      <td>1.218928</td>\n",
       "      <td>1.201755</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>-0.055234</td>\n",
       "      <td>-0.049735</td>\n",
       "      <td>-0.046057</td>\n",
       "      <td>-0.042024</td>\n",
       "      <td>-0.037725</td>\n",
       "      <td>-0.035672</td>\n",
       "      <td>-0.033977</td>\n",
       "      <td>-0.036852</td>\n",
       "      <td>-0.039724</td>\n",
       "      <td>-0.042511</td>\n",
       "      <td>...</td>\n",
       "      <td>1.238331</td>\n",
       "      <td>1.243601</td>\n",
       "      <td>1.260994</td>\n",
       "      <td>1.268319</td>\n",
       "      <td>1.268162</td>\n",
       "      <td>1.261052</td>\n",
       "      <td>1.239478</td>\n",
       "      <td>1.230131</td>\n",
       "      <td>1.217973</td>\n",
       "      <td>1.202396</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>-0.055729</td>\n",
       "      <td>-0.050170</td>\n",
       "      <td>-0.046542</td>\n",
       "      <td>-0.042579</td>\n",
       "      <td>-0.038314</td>\n",
       "      <td>-0.036302</td>\n",
       "      <td>-0.034590</td>\n",
       "      <td>-0.037494</td>\n",
       "      <td>-0.040317</td>\n",
       "      <td>-0.043047</td>\n",
       "      <td>...</td>\n",
       "      <td>1.245502</td>\n",
       "      <td>1.250393</td>\n",
       "      <td>1.267086</td>\n",
       "      <td>1.272205</td>\n",
       "      <td>1.269761</td>\n",
       "      <td>1.261335</td>\n",
       "      <td>1.241755</td>\n",
       "      <td>1.230343</td>\n",
       "      <td>1.218232</td>\n",
       "      <td>1.203426</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>-0.053810</td>\n",
       "      <td>-0.048383</td>\n",
       "      <td>-0.044598</td>\n",
       "      <td>-0.040312</td>\n",
       "      <td>-0.035927</td>\n",
       "      <td>-0.033698</td>\n",
       "      <td>-0.032097</td>\n",
       "      <td>-0.034868</td>\n",
       "      <td>-0.037943</td>\n",
       "      <td>-0.040858</td>\n",
       "      <td>...</td>\n",
       "      <td>1.218515</td>\n",
       "      <td>1.227335</td>\n",
       "      <td>1.247433</td>\n",
       "      <td>1.259623</td>\n",
       "      <td>1.266906</td>\n",
       "      <td>1.265109</td>\n",
       "      <td>1.237286</td>\n",
       "      <td>1.229614</td>\n",
       "      <td>1.220457</td>\n",
       "      <td>1.203248</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>-0.055730</td>\n",
       "      <td>-0.050217</td>\n",
       "      <td>-0.046559</td>\n",
       "      <td>-0.042490</td>\n",
       "      <td>-0.038219</td>\n",
       "      <td>-0.036165</td>\n",
       "      <td>-0.034490</td>\n",
       "      <td>-0.037353</td>\n",
       "      <td>-0.040245</td>\n",
       "      <td>-0.043011</td>\n",
       "      <td>...</td>\n",
       "      <td>1.239860</td>\n",
       "      <td>1.246074</td>\n",
       "      <td>1.263781</td>\n",
       "      <td>1.268866</td>\n",
       "      <td>1.271785</td>\n",
       "      <td>1.265299</td>\n",
       "      <td>1.243528</td>\n",
       "      <td>1.233875</td>\n",
       "      <td>1.219121</td>\n",
       "      <td>1.205316</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>-0.054992</td>\n",
       "      <td>-0.049510</td>\n",
       "      <td>-0.045810</td>\n",
       "      <td>-0.041666</td>\n",
       "      <td>-0.037335</td>\n",
       "      <td>-0.035242</td>\n",
       "      <td>-0.033589</td>\n",
       "      <td>-0.036424</td>\n",
       "      <td>-0.039387</td>\n",
       "      <td>-0.042195</td>\n",
       "      <td>...</td>\n",
       "      <td>1.232848</td>\n",
       "      <td>1.239936</td>\n",
       "      <td>1.258739</td>\n",
       "      <td>1.266783</td>\n",
       "      <td>1.270672</td>\n",
       "      <td>1.265578</td>\n",
       "      <td>1.242075</td>\n",
       "      <td>1.233686</td>\n",
       "      <td>1.220265</td>\n",
       "      <td>1.205570</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>-0.050745</td>\n",
       "      <td>-0.045446</td>\n",
       "      <td>-0.041440</td>\n",
       "      <td>-0.036760</td>\n",
       "      <td>-0.032230</td>\n",
       "      <td>-0.029673</td>\n",
       "      <td>-0.028216</td>\n",
       "      <td>-0.030839</td>\n",
       "      <td>-0.034238</td>\n",
       "      <td>-0.037479</td>\n",
       "      <td>...</td>\n",
       "      <td>1.184309</td>\n",
       "      <td>1.197157</td>\n",
       "      <td>1.222520</td>\n",
       "      <td>1.244801</td>\n",
       "      <td>1.262009</td>\n",
       "      <td>1.268272</td>\n",
       "      <td>1.227444</td>\n",
       "      <td>1.223068</td>\n",
       "      <td>1.221549</td>\n",
       "      <td>1.201600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>-0.052865</td>\n",
       "      <td>-0.047474</td>\n",
       "      <td>-0.043610</td>\n",
       "      <td>-0.039197</td>\n",
       "      <td>-0.034748</td>\n",
       "      <td>-0.032420</td>\n",
       "      <td>-0.030847</td>\n",
       "      <td>-0.033581</td>\n",
       "      <td>-0.036763</td>\n",
       "      <td>-0.039815</td>\n",
       "      <td>...</td>\n",
       "      <td>1.207212</td>\n",
       "      <td>1.217496</td>\n",
       "      <td>1.238561</td>\n",
       "      <td>1.255162</td>\n",
       "      <td>1.264472</td>\n",
       "      <td>1.265754</td>\n",
       "      <td>1.232984</td>\n",
       "      <td>1.227202</td>\n",
       "      <td>1.219438</td>\n",
       "      <td>1.202412</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>-0.052553</td>\n",
       "      <td>-0.047162</td>\n",
       "      <td>-0.043283</td>\n",
       "      <td>-0.038814</td>\n",
       "      <td>-0.034356</td>\n",
       "      <td>-0.031991</td>\n",
       "      <td>-0.030426</td>\n",
       "      <td>-0.033149</td>\n",
       "      <td>-0.036360</td>\n",
       "      <td>-0.039432</td>\n",
       "      <td>...</td>\n",
       "      <td>1.202559</td>\n",
       "      <td>1.213446</td>\n",
       "      <td>1.234980</td>\n",
       "      <td>1.250860</td>\n",
       "      <td>1.263382</td>\n",
       "      <td>1.264948</td>\n",
       "      <td>1.230802</td>\n",
       "      <td>1.225157</td>\n",
       "      <td>1.218225</td>\n",
       "      <td>1.201486</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>-0.052481</td>\n",
       "      <td>-0.047107</td>\n",
       "      <td>-0.043237</td>\n",
       "      <td>-0.038784</td>\n",
       "      <td>-0.034330</td>\n",
       "      <td>-0.031974</td>\n",
       "      <td>-0.030433</td>\n",
       "      <td>-0.033138</td>\n",
       "      <td>-0.036340</td>\n",
       "      <td>-0.039368</td>\n",
       "      <td>...</td>\n",
       "      <td>1.204162</td>\n",
       "      <td>1.214773</td>\n",
       "      <td>1.236340</td>\n",
       "      <td>1.253477</td>\n",
       "      <td>1.264378</td>\n",
       "      <td>1.265725</td>\n",
       "      <td>1.232655</td>\n",
       "      <td>1.226298</td>\n",
       "      <td>1.220781</td>\n",
       "      <td>1.203204</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>-0.054369</td>\n",
       "      <td>-0.048920</td>\n",
       "      <td>-0.045163</td>\n",
       "      <td>-0.040951</td>\n",
       "      <td>-0.036600</td>\n",
       "      <td>-0.034415</td>\n",
       "      <td>-0.032781</td>\n",
       "      <td>-0.035601</td>\n",
       "      <td>-0.038612</td>\n",
       "      <td>-0.041500</td>\n",
       "      <td>...</td>\n",
       "      <td>1.225132</td>\n",
       "      <td>1.233319</td>\n",
       "      <td>1.252778</td>\n",
       "      <td>1.262877</td>\n",
       "      <td>1.268512</td>\n",
       "      <td>1.264931</td>\n",
       "      <td>1.239355</td>\n",
       "      <td>1.231426</td>\n",
       "      <td>1.219872</td>\n",
       "      <td>1.204501</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>-0.056059</td>\n",
       "      <td>-0.050509</td>\n",
       "      <td>-0.046887</td>\n",
       "      <td>-0.042858</td>\n",
       "      <td>-0.038650</td>\n",
       "      <td>-0.036642</td>\n",
       "      <td>-0.035005</td>\n",
       "      <td>-0.037874</td>\n",
       "      <td>-0.040695</td>\n",
       "      <td>-0.043370</td>\n",
       "      <td>...</td>\n",
       "      <td>1.245295</td>\n",
       "      <td>1.251606</td>\n",
       "      <td>1.269484</td>\n",
       "      <td>1.273763</td>\n",
       "      <td>1.274182</td>\n",
       "      <td>1.266384</td>\n",
       "      <td>1.247249</td>\n",
       "      <td>1.237277</td>\n",
       "      <td>1.221932</td>\n",
       "      <td>1.207860</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>-0.053766</td>\n",
       "      <td>-0.048332</td>\n",
       "      <td>-0.044552</td>\n",
       "      <td>-0.040294</td>\n",
       "      <td>-0.035907</td>\n",
       "      <td>-0.033673</td>\n",
       "      <td>-0.032061</td>\n",
       "      <td>-0.034842</td>\n",
       "      <td>-0.037929</td>\n",
       "      <td>-0.040850</td>\n",
       "      <td>...</td>\n",
       "      <td>1.219400</td>\n",
       "      <td>1.228077</td>\n",
       "      <td>1.248237</td>\n",
       "      <td>1.261004</td>\n",
       "      <td>1.266972</td>\n",
       "      <td>1.264899</td>\n",
       "      <td>1.237607</td>\n",
       "      <td>1.229697</td>\n",
       "      <td>1.220475</td>\n",
       "      <td>1.203496</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>60 rows × 401 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         0         1         2         3         4         5         6    \\\n",
       "0  -0.052654 -0.047253 -0.043385 -0.038966 -0.034495 -0.032144 -0.030568   \n",
       "1  -0.047475 -0.042245 -0.037951 -0.032718 -0.027856 -0.024933 -0.023602   \n",
       "2  -0.048160 -0.043013 -0.038847 -0.033862 -0.029165 -0.026398 -0.025090   \n",
       "3  -0.048993 -0.043709 -0.039550 -0.034547 -0.029842 -0.027097 -0.025709   \n",
       "4  -0.054901 -0.049436 -0.045730 -0.041604 -0.037243 -0.035085 -0.033372   \n",
       "5  -0.051742 -0.046399 -0.042469 -0.037919 -0.033391 -0.030948 -0.029415   \n",
       "6  -0.054114 -0.048671 -0.044907 -0.040678 -0.036286 -0.034081 -0.032450   \n",
       "7  -0.050596 -0.045307 -0.041314 -0.036630 -0.032055 -0.029521 -0.028038   \n",
       "8  -0.053225 -0.047823 -0.044000 -0.039660 -0.035221 -0.032936 -0.031338   \n",
       "9  -0.054279 -0.048829 -0.045078 -0.040876 -0.036489 -0.034311 -0.032660   \n",
       "10 -0.056608 -0.051037 -0.047434 -0.043545 -0.039261 -0.037275 -0.035505   \n",
       "11 -0.054549 -0.049090 -0.045344 -0.041185 -0.036812 -0.034641 -0.032996   \n",
       "12 -0.050908 -0.045569 -0.041593 -0.036948 -0.032373 -0.029853 -0.028361   \n",
       "13 -0.048885 -0.043686 -0.039564 -0.034683 -0.029987 -0.027266 -0.025915   \n",
       "14 -0.046766 -0.041815 -0.037483 -0.032258 -0.027576 -0.024561 -0.023485   \n",
       "15 -0.052977 -0.047570 -0.043724 -0.039334 -0.034881 -0.032562 -0.030977   \n",
       "16 -0.053816 -0.048388 -0.044600 -0.040340 -0.035940 -0.033709 -0.032084   \n",
       "17 -0.053305 -0.047895 -0.044080 -0.039759 -0.035344 -0.033066 -0.031463   \n",
       "18 -0.050754 -0.045454 -0.041460 -0.036807 -0.032240 -0.029708 -0.028219   \n",
       "19 -0.050816 -0.045509 -0.041527 -0.036877 -0.032326 -0.029822 -0.028326   \n",
       "20 -0.053067 -0.047647 -0.043817 -0.039471 -0.035032 -0.032727 -0.031137   \n",
       "21 -0.052265 -0.046892 -0.042988 -0.038495 -0.034001 -0.031588 -0.030047   \n",
       "22 -0.051908 -0.046554 -0.042645 -0.038149 -0.033654 -0.031238 -0.029691   \n",
       "23 -0.052412 -0.047040 -0.043166 -0.038728 -0.034264 -0.031899 -0.030336   \n",
       "24 -0.052309 -0.046941 -0.043054 -0.038602 -0.034135 -0.031760 -0.030199   \n",
       "25 -0.053465 -0.048050 -0.044253 -0.039940 -0.035531 -0.033269 -0.031657   \n",
       "26 -0.052613 -0.047226 -0.043368 -0.038941 -0.034483 -0.032138 -0.030559   \n",
       "27 -0.053183 -0.047777 -0.043958 -0.039606 -0.035180 -0.032895 -0.031294   \n",
       "28 -0.052518 -0.047136 -0.043276 -0.038835 -0.034372 -0.032020 -0.030443   \n",
       "29 -0.053914 -0.048467 -0.044699 -0.040442 -0.036066 -0.033849 -0.032214   \n",
       "30 -0.053292 -0.047869 -0.044057 -0.039724 -0.035309 -0.033029 -0.031422   \n",
       "31 -0.050684 -0.045380 -0.041401 -0.036716 -0.032153 -0.029626 -0.028120   \n",
       "32 -0.051118 -0.045786 -0.041831 -0.037211 -0.032680 -0.030194 -0.028671   \n",
       "33 -0.050592 -0.045285 -0.041314 -0.036612 -0.032050 -0.029510 -0.028001   \n",
       "34 -0.050997 -0.045690 -0.041706 -0.037086 -0.032527 -0.030044 -0.028504   \n",
       "35 -0.053682 -0.048246 -0.044460 -0.040169 -0.035776 -0.033537 -0.031935   \n",
       "36 -0.052996 -0.047596 -0.043762 -0.039366 -0.034928 -0.032623 -0.031025   \n",
       "37 -0.054023 -0.048591 -0.044817 -0.040563 -0.036170 -0.033981 -0.032344   \n",
       "38 -0.051350 -0.046025 -0.042087 -0.037475 -0.032962 -0.030485 -0.028965   \n",
       "39 -0.053416 -0.048008 -0.044210 -0.039876 -0.035462 -0.033212 -0.031593   \n",
       "40 -0.058163 -0.052633 -0.049038 -0.045234 -0.041085 -0.039233 -0.037524   \n",
       "41 -0.055466 -0.049996 -0.046305 -0.042226 -0.037918 -0.035835 -0.034130   \n",
       "42 -0.053980 -0.048542 -0.044757 -0.040478 -0.036077 -0.033853 -0.032225   \n",
       "43 -0.051606 -0.046281 -0.042337 -0.037753 -0.033232 -0.030788 -0.029253   \n",
       "44 -0.055375 -0.049900 -0.046203 -0.042145 -0.037856 -0.035781 -0.034116   \n",
       "45 -0.054917 -0.049468 -0.045761 -0.041708 -0.037371 -0.035314 -0.033610   \n",
       "46 -0.054924 -0.049438 -0.045741 -0.041651 -0.037340 -0.035232 -0.033574   \n",
       "47 -0.053121 -0.047723 -0.043905 -0.039554 -0.035155 -0.032870 -0.031276   \n",
       "48 -0.055234 -0.049735 -0.046057 -0.042024 -0.037725 -0.035672 -0.033977   \n",
       "49 -0.055729 -0.050170 -0.046542 -0.042579 -0.038314 -0.036302 -0.034590   \n",
       "50 -0.053810 -0.048383 -0.044598 -0.040312 -0.035927 -0.033698 -0.032097   \n",
       "51 -0.055730 -0.050217 -0.046559 -0.042490 -0.038219 -0.036165 -0.034490   \n",
       "52 -0.054992 -0.049510 -0.045810 -0.041666 -0.037335 -0.035242 -0.033589   \n",
       "53 -0.050745 -0.045446 -0.041440 -0.036760 -0.032230 -0.029673 -0.028216   \n",
       "54 -0.052865 -0.047474 -0.043610 -0.039197 -0.034748 -0.032420 -0.030847   \n",
       "55 -0.052553 -0.047162 -0.043283 -0.038814 -0.034356 -0.031991 -0.030426   \n",
       "56 -0.052481 -0.047107 -0.043237 -0.038784 -0.034330 -0.031974 -0.030433   \n",
       "57 -0.054369 -0.048920 -0.045163 -0.040951 -0.036600 -0.034415 -0.032781   \n",
       "58 -0.056059 -0.050509 -0.046887 -0.042858 -0.038650 -0.036642 -0.035005   \n",
       "59 -0.053766 -0.048332 -0.044552 -0.040294 -0.035907 -0.033673 -0.032061   \n",
       "\n",
       "         7         8         9    ...       391       392       393       394  \\\n",
       "0  -0.033327 -0.036519 -0.039577  ...  1.204576  1.215067  1.236509  1.252646   \n",
       "1  -0.026006 -0.029788 -0.033307  ...  1.140074  1.159301  1.185280  1.219966   \n",
       "2  -0.027483 -0.031057 -0.034387  ...  1.150832  1.168292  1.194591  1.225073   \n",
       "3  -0.028282 -0.031926 -0.035339  ...  1.159720  1.176811  1.202179  1.230568   \n",
       "4  -0.036204 -0.039167 -0.042003  ...  1.229091  1.237254  1.256051  1.264647   \n",
       "5  -0.032108 -0.035405 -0.038539  ...  1.192850  1.205387  1.227701  1.246833   \n",
       "6  -0.035264 -0.038304 -0.041197  ...  1.220707  1.229692  1.249463  1.260550   \n",
       "7  -0.030657 -0.034040 -0.037225  ...  1.179995  1.194176  1.217751  1.240628   \n",
       "8  -0.034103 -0.037231 -0.040201  ...  1.210842  1.221006  1.241755  1.255860   \n",
       "9  -0.035482 -0.038508 -0.041383  ...  1.223016  1.231621  1.251305  1.261676   \n",
       "10 -0.038459 -0.041296 -0.043968  ...  1.248120  1.254471  1.271578  1.274293   \n",
       "11 -0.035814 -0.038825 -0.041716  ...  1.225591  1.233629  1.252665  1.262470   \n",
       "12 -0.031005 -0.034369 -0.037559  ...  1.182853  1.196213  1.219559  1.241581   \n",
       "13 -0.028403 -0.031930 -0.035245  ...  1.159500  1.176465  1.201753  1.231145   \n",
       "14 -0.025645 -0.029256 -0.032611  ...  1.131729  1.148309  1.177782  1.215363   \n",
       "15 -0.033729 -0.036901 -0.039918  ...  1.207475  1.217680  1.238999  1.253922   \n",
       "16 -0.034877 -0.037952 -0.040866  ...  1.218090  1.227185  1.247294  1.259450   \n",
       "17 -0.034231 -0.037348 -0.040303  ...  1.213041  1.222856  1.243361  1.256781   \n",
       "18 -0.030860 -0.034242 -0.037454  ...  1.184125  1.197849  1.221089  1.242831   \n",
       "19 -0.030989 -0.034329 -0.037497  ...  1.184356  1.197976  1.221149  1.242749   \n",
       "20 -0.033889 -0.037034 -0.040023  ...  1.210477  1.220377  1.241080  1.255421   \n",
       "21 -0.032750 -0.035994 -0.039074  ...  1.197787  1.209399  1.231306  1.249094   \n",
       "22 -0.032394 -0.035651 -0.038735  ...  1.197082  1.208912  1.230868  1.249047   \n",
       "23 -0.033056 -0.036261 -0.039305  ...  1.202808  1.213789  1.235335  1.251729   \n",
       "24 -0.032916 -0.036130 -0.039185  ...  1.201561  1.212815  1.234440  1.251183   \n",
       "25 -0.034440 -0.037538 -0.040486  ...  1.214408  1.224003  1.244415  1.257315   \n",
       "26 -0.033300 -0.036488 -0.039524  ...  1.204892  1.215770  1.237039  1.252950   \n",
       "27 -0.034066 -0.037194 -0.040180  ...  1.211742  1.221735  1.242364  1.256032   \n",
       "28 -0.033188 -0.036382 -0.039423  ...  1.203951  1.214817  1.236316  1.252414   \n",
       "29 -0.035025 -0.038079 -0.040992  ...  1.220123  1.229078  1.248838  1.260188   \n",
       "30 -0.034203 -0.037321 -0.040289  ...  1.212795  1.222617  1.243174  1.256607   \n",
       "31 -0.030785 -0.034175 -0.037401  ...  1.183294  1.196977  1.220493  1.242160   \n",
       "32 -0.031354 -0.034693 -0.037875  ...  1.188694  1.201840  1.224590  1.245032   \n",
       "33 -0.030663 -0.034060 -0.037302  ...  1.182343  1.196200  1.219672  1.241871   \n",
       "34 -0.031198 -0.034539 -0.037750  ...  1.186630  1.199939  1.222852  1.243726   \n",
       "35 -0.034711 -0.037797 -0.040704  ...  1.217431  1.226421  1.246357  1.258627   \n",
       "36 -0.033784 -0.036937 -0.039969  ...  1.208743  1.218976  1.239773  1.254380   \n",
       "37 -0.035163 -0.038180 -0.041102  ...  1.220186  1.228501  1.248661  1.259852   \n",
       "38 -0.031669 -0.034931 -0.038093  ...  1.189470  1.201900  1.224967  1.245129   \n",
       "39 -0.034384 -0.037475 -0.040435  ...  1.213979  1.223132  1.243966  1.257054   \n",
       "40 -0.040408 -0.043103 -0.045639  ...  1.261598  1.265987  1.280780  1.280134   \n",
       "41 -0.036998 -0.039913 -0.042704  ...  1.235488  1.242533  1.261031  1.267759   \n",
       "42 -0.035048 -0.038075 -0.041017  ...  1.218347  1.226732  1.247096  1.259111   \n",
       "43 -0.031969 -0.035251 -0.038406  ...  1.192168  1.204148  1.227089  1.246454   \n",
       "44 -0.036953 -0.039871 -0.042636  ...  1.237420  1.243388  1.262329  1.268331   \n",
       "45 -0.036478 -0.039390 -0.042187  ...  1.235579  1.241753  1.259459  1.267400   \n",
       "46 -0.036415 -0.039333 -0.042148  ...  1.233955  1.240245  1.258309  1.266659   \n",
       "47 -0.034022 -0.037132 -0.040108  ...  1.212072  1.221754  1.242160  1.256395   \n",
       "48 -0.036852 -0.039724 -0.042511  ...  1.238331  1.243601  1.260994  1.268319   \n",
       "49 -0.037494 -0.040317 -0.043047  ...  1.245502  1.250393  1.267086  1.272205   \n",
       "50 -0.034868 -0.037943 -0.040858  ...  1.218515  1.227335  1.247433  1.259623   \n",
       "51 -0.037353 -0.040245 -0.043011  ...  1.239860  1.246074  1.263781  1.268866   \n",
       "52 -0.036424 -0.039387 -0.042195  ...  1.232848  1.239936  1.258739  1.266783   \n",
       "53 -0.030839 -0.034238 -0.037479  ...  1.184309  1.197157  1.222520  1.244801   \n",
       "54 -0.033581 -0.036763 -0.039815  ...  1.207212  1.217496  1.238561  1.255162   \n",
       "55 -0.033149 -0.036360 -0.039432  ...  1.202559  1.213446  1.234980  1.250860   \n",
       "56 -0.033138 -0.036340 -0.039368  ...  1.204162  1.214773  1.236340  1.253477   \n",
       "57 -0.035601 -0.038612 -0.041500  ...  1.225132  1.233319  1.252778  1.262877   \n",
       "58 -0.037874 -0.040695 -0.043370  ...  1.245295  1.251606  1.269484  1.273763   \n",
       "59 -0.034842 -0.037929 -0.040850  ...  1.219400  1.228077  1.248237  1.261004   \n",
       "\n",
       "         395       396       397       398       399       400  \n",
       "0   1.263053  1.264538  1.231093  1.225307  1.218563  1.201118  \n",
       "1   1.249506  1.264172  1.209302  1.209640  1.216976  1.195430  \n",
       "2   1.251362  1.265056  1.213313  1.213155  1.217364  1.195619  \n",
       "3   1.253510  1.265437  1.217519  1.216286  1.217592  1.197049  \n",
       "4   1.266633  1.262159  1.240285  1.230951  1.218680  1.203491  \n",
       "5   1.260031  1.264153  1.227957  1.223175  1.218755  1.200373  \n",
       "6   1.265708  1.263024  1.237448  1.229354  1.219030  1.202849  \n",
       "7   1.258077  1.264336  1.223809  1.220514  1.218559  1.199847  \n",
       "8   1.263868  1.263652  1.234152  1.227244  1.219112  1.202090  \n",
       "9   1.266167  1.262965  1.238314  1.229963  1.219180  1.203228  \n",
       "10  1.269925  1.259988  1.247542  1.235868  1.219169  1.205495  \n",
       "11  1.265523  1.264272  1.238503  1.229731  1.219115  1.202677  \n",
       "12  1.257947  1.265327  1.224176  1.220392  1.218778  1.198834  \n",
       "13  1.254843  1.266980  1.218474  1.217215  1.219020  1.198370  \n",
       "14  1.249687  1.267777  1.199994  1.208301  1.217845  1.195189  \n",
       "15  1.262887  1.263568  1.232085  1.226166  1.218458  1.201334  \n",
       "16  1.265157  1.263902  1.236617  1.228605  1.219550  1.202496  \n",
       "17  1.264343  1.263839  1.234888  1.227866  1.219047  1.202331  \n",
       "18  1.258917  1.264636  1.225379  1.221517  1.219135  1.200170  \n",
       "19  1.258797  1.264667  1.225422  1.221602  1.218767  1.199940  \n",
       "20  1.263535  1.264751  1.233761  1.226787  1.219418  1.201828  \n",
       "21  1.260840  1.265138  1.229399  1.223994  1.219021  1.200658  \n",
       "22  1.261171  1.265612  1.229310  1.224021  1.219344  1.200709  \n",
       "23  1.262283  1.265011  1.231141  1.225187  1.219287  1.201242  \n",
       "24  1.261981  1.264664  1.230873  1.224894  1.219295  1.201253  \n",
       "25  1.264415  1.263389  1.235152  1.227707  1.218784  1.202335  \n",
       "26  1.262768  1.264066  1.232154  1.225901  1.219032  1.201754  \n",
       "27  1.263922  1.263602  1.234276  1.227265  1.218747  1.202117  \n",
       "28  1.262577  1.263980  1.231662  1.225628  1.218909  1.201611  \n",
       "29  1.265382  1.262821  1.237010  1.228932  1.218977  1.202612  \n",
       "30  1.264139  1.263495  1.234614  1.227328  1.218981  1.202128  \n",
       "31  1.258437  1.264593  1.224951  1.220899  1.218941  1.199792  \n",
       "32  1.259768  1.264670  1.226905  1.222380  1.218889  1.200487  \n",
       "33  1.258405  1.264915  1.224751  1.221056  1.218760  1.199645  \n",
       "34  1.259119  1.264361  1.226002  1.221642  1.218533  1.199600  \n",
       "35  1.264801  1.264627  1.235814  1.228358  1.219312  1.202382  \n",
       "36  1.263183  1.263457  1.233184  1.226188  1.218708  1.201518  \n",
       "37  1.265227  1.262804  1.235477  1.228574  1.218583  1.201640  \n",
       "38  1.259285  1.263994  1.224712  1.222004  1.218445  1.198990  \n",
       "39  1.264091  1.263227  1.233351  1.227364  1.218552  1.201515  \n",
       "40  1.270146  1.263052  1.251149  1.236879  1.218122  1.204033  \n",
       "41  1.268183  1.263236  1.242219  1.232297  1.218644  1.203970  \n",
       "42  1.264862  1.262902  1.235320  1.228055  1.218466  1.202203  \n",
       "43  1.259873  1.263954  1.226282  1.222591  1.218423  1.199552  \n",
       "44  1.268287  1.261699  1.242737  1.232274  1.218482  1.204230  \n",
       "45  1.267824  1.261871  1.239520  1.231925  1.218229  1.202607  \n",
       "46  1.267548  1.261268  1.238425  1.228436  1.217939  1.201970  \n",
       "47  1.264122  1.263852  1.233160  1.225954  1.218928  1.201755  \n",
       "48  1.268162  1.261052  1.239478  1.230131  1.217973  1.202396  \n",
       "49  1.269761  1.261335  1.241755  1.230343  1.218232  1.203426  \n",
       "50  1.266906  1.265109  1.237286  1.229614  1.220457  1.203248  \n",
       "51  1.271785  1.265299  1.243528  1.233875  1.219121  1.205316  \n",
       "52  1.270672  1.265578  1.242075  1.233686  1.220265  1.205570  \n",
       "53  1.262009  1.268272  1.227444  1.223068  1.221549  1.201600  \n",
       "54  1.264472  1.265754  1.232984  1.227202  1.219438  1.202412  \n",
       "55  1.263382  1.264948  1.230802  1.225157  1.218225  1.201486  \n",
       "56  1.264378  1.265725  1.232655  1.226298  1.220781  1.203204  \n",
       "57  1.268512  1.264931  1.239355  1.231426  1.219872  1.204501  \n",
       "58  1.274182  1.266384  1.247249  1.237277  1.221932  1.207860  \n",
       "59  1.266972  1.264899  1.237607  1.229697  1.220475  1.203496  \n",
       "\n",
       "[60 rows x 401 columns]"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get validated predicted X for a given number of components\n",
    "\n",
    "# Predicted X from validation using 1 component\n",
    "X_from_1_component_val = model.X_predVal()[1]\n",
    "\n",
    "# Predicted X from calibration using 1 component stored in pandas data frame with row and columns names\n",
    "X_from_1_component_val_df = pd.DataFrame(model.X_predVal()[1])\n",
    "#X_from_1_component_val_df.index = data_objNames\n",
    "#X_from_1_component_val_df.columns = data_varNames\n",
    "X_from_1_component_val_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>391</th>\n",
       "      <th>392</th>\n",
       "      <th>393</th>\n",
       "      <th>394</th>\n",
       "      <th>395</th>\n",
       "      <th>396</th>\n",
       "      <th>397</th>\n",
       "      <th>398</th>\n",
       "      <th>399</th>\n",
       "      <th>400</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.047637</td>\n",
       "      <td>-0.042494</td>\n",
       "      <td>-0.038693</td>\n",
       "      <td>-0.034349</td>\n",
       "      <td>-0.030292</td>\n",
       "      <td>-0.028006</td>\n",
       "      <td>-0.026761</td>\n",
       "      <td>-0.029198</td>\n",
       "      <td>-0.032074</td>\n",
       "      <td>-0.034737</td>\n",
       "      <td>...</td>\n",
       "      <td>1.216597</td>\n",
       "      <td>1.219273</td>\n",
       "      <td>1.238665</td>\n",
       "      <td>1.264580</td>\n",
       "      <td>1.276182</td>\n",
       "      <td>1.271058</td>\n",
       "      <td>1.221824</td>\n",
       "      <td>1.217379</td>\n",
       "      <td>1.230466</td>\n",
       "      <td>1.204159</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.044526</td>\n",
       "      <td>-0.039469</td>\n",
       "      <td>-0.035202</td>\n",
       "      <td>-0.029961</td>\n",
       "      <td>-0.025365</td>\n",
       "      <td>-0.022465</td>\n",
       "      <td>-0.021381</td>\n",
       "      <td>-0.023503</td>\n",
       "      <td>-0.027150</td>\n",
       "      <td>-0.030395</td>\n",
       "      <td>...</td>\n",
       "      <td>1.147647</td>\n",
       "      <td>1.163132</td>\n",
       "      <td>1.188177</td>\n",
       "      <td>1.229174</td>\n",
       "      <td>1.261016</td>\n",
       "      <td>1.271847</td>\n",
       "      <td>1.209454</td>\n",
       "      <td>1.209287</td>\n",
       "      <td>1.228007</td>\n",
       "      <td>1.201681</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.049028</td>\n",
       "      <td>-0.043788</td>\n",
       "      <td>-0.039523</td>\n",
       "      <td>-0.034326</td>\n",
       "      <td>-0.029643</td>\n",
       "      <td>-0.026734</td>\n",
       "      <td>-0.025609</td>\n",
       "      <td>-0.027837</td>\n",
       "      <td>-0.031863</td>\n",
       "      <td>-0.035384</td>\n",
       "      <td>...</td>\n",
       "      <td>1.153025</td>\n",
       "      <td>1.173436</td>\n",
       "      <td>1.203704</td>\n",
       "      <td>1.237631</td>\n",
       "      <td>1.277363</td>\n",
       "      <td>1.293061</td>\n",
       "      <td>1.242832</td>\n",
       "      <td>1.238199</td>\n",
       "      <td>1.235285</td>\n",
       "      <td>1.218615</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.043804</td>\n",
       "      <td>-0.038810</td>\n",
       "      <td>-0.034727</td>\n",
       "      <td>-0.029781</td>\n",
       "      <td>-0.025472</td>\n",
       "      <td>-0.022833</td>\n",
       "      <td>-0.021727</td>\n",
       "      <td>-0.023996</td>\n",
       "      <td>-0.027241</td>\n",
       "      <td>-0.030184</td>\n",
       "      <td>...</td>\n",
       "      <td>1.169744</td>\n",
       "      <td>1.179724</td>\n",
       "      <td>1.201307</td>\n",
       "      <td>1.237315</td>\n",
       "      <td>1.255866</td>\n",
       "      <td>1.260941</td>\n",
       "      <td>1.200861</td>\n",
       "      <td>1.201215</td>\n",
       "      <td>1.223371</td>\n",
       "      <td>1.192680</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.050624</td>\n",
       "      <td>-0.045423</td>\n",
       "      <td>-0.041740</td>\n",
       "      <td>-0.037530</td>\n",
       "      <td>-0.033607</td>\n",
       "      <td>-0.031369</td>\n",
       "      <td>-0.030102</td>\n",
       "      <td>-0.032361</td>\n",
       "      <td>-0.035336</td>\n",
       "      <td>-0.037803</td>\n",
       "      <td>...</td>\n",
       "      <td>1.242196</td>\n",
       "      <td>1.246887</td>\n",
       "      <td>1.266674</td>\n",
       "      <td>1.287483</td>\n",
       "      <td>1.299825</td>\n",
       "      <td>1.290147</td>\n",
       "      <td>1.258939</td>\n",
       "      <td>1.245708</td>\n",
       "      <td>1.247596</td>\n",
       "      <td>1.227744</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>-0.045705</td>\n",
       "      <td>-0.040741</td>\n",
       "      <td>-0.036878</td>\n",
       "      <td>-0.032344</td>\n",
       "      <td>-0.028343</td>\n",
       "      <td>-0.025950</td>\n",
       "      <td>-0.024910</td>\n",
       "      <td>-0.027057</td>\n",
       "      <td>-0.030122</td>\n",
       "      <td>-0.032745</td>\n",
       "      <td>...</td>\n",
       "      <td>1.206838</td>\n",
       "      <td>1.212801</td>\n",
       "      <td>1.233005</td>\n",
       "      <td>1.265096</td>\n",
       "      <td>1.282073</td>\n",
       "      <td>1.278787</td>\n",
       "      <td>1.228466</td>\n",
       "      <td>1.222590</td>\n",
       "      <td>1.241473</td>\n",
       "      <td>1.212971</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.052084</td>\n",
       "      <td>-0.046748</td>\n",
       "      <td>-0.042978</td>\n",
       "      <td>-0.038679</td>\n",
       "      <td>-0.034507</td>\n",
       "      <td>-0.032269</td>\n",
       "      <td>-0.030897</td>\n",
       "      <td>-0.033445</td>\n",
       "      <td>-0.036538</td>\n",
       "      <td>-0.039282</td>\n",
       "      <td>...</td>\n",
       "      <td>1.227423</td>\n",
       "      <td>1.234674</td>\n",
       "      <td>1.255328</td>\n",
       "      <td>1.272558</td>\n",
       "      <td>1.284257</td>\n",
       "      <td>1.279184</td>\n",
       "      <td>1.248589</td>\n",
       "      <td>1.238505</td>\n",
       "      <td>1.234466</td>\n",
       "      <td>1.216267</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>-0.051500</td>\n",
       "      <td>-0.046123</td>\n",
       "      <td>-0.042063</td>\n",
       "      <td>-0.037237</td>\n",
       "      <td>-0.032637</td>\n",
       "      <td>-0.030007</td>\n",
       "      <td>-0.028605</td>\n",
       "      <td>-0.031160</td>\n",
       "      <td>-0.034865</td>\n",
       "      <td>-0.038216</td>\n",
       "      <td>...</td>\n",
       "      <td>1.180503</td>\n",
       "      <td>1.197158</td>\n",
       "      <td>1.223409</td>\n",
       "      <td>1.247895</td>\n",
       "      <td>1.273908</td>\n",
       "      <td>1.281658</td>\n",
       "      <td>1.243242</td>\n",
       "      <td>1.237054</td>\n",
       "      <td>1.229039</td>\n",
       "      <td>1.214441</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-0.051986</td>\n",
       "      <td>-0.046645</td>\n",
       "      <td>-0.042812</td>\n",
       "      <td>-0.038413</td>\n",
       "      <td>-0.034112</td>\n",
       "      <td>-0.031799</td>\n",
       "      <td>-0.030371</td>\n",
       "      <td>-0.032961</td>\n",
       "      <td>-0.036153</td>\n",
       "      <td>-0.039047</td>\n",
       "      <td>...</td>\n",
       "      <td>1.215204</td>\n",
       "      <td>1.224414</td>\n",
       "      <td>1.245950</td>\n",
       "      <td>1.264164</td>\n",
       "      <td>1.277040</td>\n",
       "      <td>1.275517</td>\n",
       "      <td>1.242827</td>\n",
       "      <td>1.234425</td>\n",
       "      <td>1.229843</td>\n",
       "      <td>1.211847</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-0.052243</td>\n",
       "      <td>-0.046917</td>\n",
       "      <td>-0.043185</td>\n",
       "      <td>-0.038977</td>\n",
       "      <td>-0.034785</td>\n",
       "      <td>-0.032616</td>\n",
       "      <td>-0.031157</td>\n",
       "      <td>-0.033768</td>\n",
       "      <td>-0.036728</td>\n",
       "      <td>-0.039411</td>\n",
       "      <td>...</td>\n",
       "      <td>1.228649</td>\n",
       "      <td>1.234915</td>\n",
       "      <td>1.254482</td>\n",
       "      <td>1.269522</td>\n",
       "      <td>1.276691</td>\n",
       "      <td>1.270888</td>\n",
       "      <td>1.241364</td>\n",
       "      <td>1.232293</td>\n",
       "      <td>1.228907</td>\n",
       "      <td>1.209911</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>-0.052761</td>\n",
       "      <td>-0.047432</td>\n",
       "      <td>-0.043892</td>\n",
       "      <td>-0.040067</td>\n",
       "      <td>-0.036132</td>\n",
       "      <td>-0.034193</td>\n",
       "      <td>-0.032724</td>\n",
       "      <td>-0.035331</td>\n",
       "      <td>-0.037936</td>\n",
       "      <td>-0.040180</td>\n",
       "      <td>...</td>\n",
       "      <td>1.258062</td>\n",
       "      <td>1.259872</td>\n",
       "      <td>1.275673</td>\n",
       "      <td>1.285857</td>\n",
       "      <td>1.282160</td>\n",
       "      <td>1.266374</td>\n",
       "      <td>1.246310</td>\n",
       "      <td>1.234209</td>\n",
       "      <td>1.232553</td>\n",
       "      <td>1.212143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>-0.050719</td>\n",
       "      <td>-0.045487</td>\n",
       "      <td>-0.041747</td>\n",
       "      <td>-0.037555</td>\n",
       "      <td>-0.033566</td>\n",
       "      <td>-0.031369</td>\n",
       "      <td>-0.030154</td>\n",
       "      <td>-0.032508</td>\n",
       "      <td>-0.035493</td>\n",
       "      <td>-0.038087</td>\n",
       "      <td>...</td>\n",
       "      <td>1.237011</td>\n",
       "      <td>1.240754</td>\n",
       "      <td>1.259886</td>\n",
       "      <td>1.279848</td>\n",
       "      <td>1.289945</td>\n",
       "      <td>1.287291</td>\n",
       "      <td>1.249581</td>\n",
       "      <td>1.238271</td>\n",
       "      <td>1.241985</td>\n",
       "      <td>1.219502</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>-0.050337</td>\n",
       "      <td>-0.044979</td>\n",
       "      <td>-0.040941</td>\n",
       "      <td>-0.036130</td>\n",
       "      <td>-0.031671</td>\n",
       "      <td>-0.029048</td>\n",
       "      <td>-0.027781</td>\n",
       "      <td>-0.030212</td>\n",
       "      <td>-0.033881</td>\n",
       "      <td>-0.037138</td>\n",
       "      <td>...</td>\n",
       "      <td>1.187385</td>\n",
       "      <td>1.201444</td>\n",
       "      <td>1.227517</td>\n",
       "      <td>1.254800</td>\n",
       "      <td>1.282302</td>\n",
       "      <td>1.290082</td>\n",
       "      <td>1.246574</td>\n",
       "      <td>1.239172</td>\n",
       "      <td>1.236958</td>\n",
       "      <td>1.218669</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>-0.050683</td>\n",
       "      <td>-0.045373</td>\n",
       "      <td>-0.041219</td>\n",
       "      <td>-0.036311</td>\n",
       "      <td>-0.031463</td>\n",
       "      <td>-0.028709</td>\n",
       "      <td>-0.027253</td>\n",
       "      <td>-0.029864</td>\n",
       "      <td>-0.033528</td>\n",
       "      <td>-0.037010</td>\n",
       "      <td>...</td>\n",
       "      <td>1.155718</td>\n",
       "      <td>1.175223</td>\n",
       "      <td>1.201453</td>\n",
       "      <td>1.227970</td>\n",
       "      <td>1.252388</td>\n",
       "      <td>1.266835</td>\n",
       "      <td>1.222849</td>\n",
       "      <td>1.221118</td>\n",
       "      <td>1.215582</td>\n",
       "      <td>1.198408</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>-0.050993</td>\n",
       "      <td>-0.045813</td>\n",
       "      <td>-0.041345</td>\n",
       "      <td>-0.035926</td>\n",
       "      <td>-0.031024</td>\n",
       "      <td>-0.027830</td>\n",
       "      <td>-0.026777</td>\n",
       "      <td>-0.028950</td>\n",
       "      <td>-0.033092</td>\n",
       "      <td>-0.036785</td>\n",
       "      <td>...</td>\n",
       "      <td>1.127577</td>\n",
       "      <td>1.150100</td>\n",
       "      <td>1.184809</td>\n",
       "      <td>1.220074</td>\n",
       "      <td>1.266804</td>\n",
       "      <td>1.290699</td>\n",
       "      <td>1.230213</td>\n",
       "      <td>1.235776</td>\n",
       "      <td>1.226743</td>\n",
       "      <td>1.214338</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>-0.048092</td>\n",
       "      <td>-0.042917</td>\n",
       "      <td>-0.039074</td>\n",
       "      <td>-0.034564</td>\n",
       "      <td>-0.030588</td>\n",
       "      <td>-0.028236</td>\n",
       "      <td>-0.027161</td>\n",
       "      <td>-0.029373</td>\n",
       "      <td>-0.032590</td>\n",
       "      <td>-0.035287</td>\n",
       "      <td>...</td>\n",
       "      <td>1.220984</td>\n",
       "      <td>1.225440</td>\n",
       "      <td>1.248258</td>\n",
       "      <td>1.275966</td>\n",
       "      <td>1.295191</td>\n",
       "      <td>1.289906</td>\n",
       "      <td>1.244780</td>\n",
       "      <td>1.237523</td>\n",
       "      <td>1.245567</td>\n",
       "      <td>1.222711</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-0.052544</td>\n",
       "      <td>-0.047200</td>\n",
       "      <td>-0.043436</td>\n",
       "      <td>-0.039201</td>\n",
       "      <td>-0.034912</td>\n",
       "      <td>-0.032704</td>\n",
       "      <td>-0.031167</td>\n",
       "      <td>-0.033857</td>\n",
       "      <td>-0.036833</td>\n",
       "      <td>-0.039609</td>\n",
       "      <td>...</td>\n",
       "      <td>1.220977</td>\n",
       "      <td>1.228313</td>\n",
       "      <td>1.247805</td>\n",
       "      <td>1.262213</td>\n",
       "      <td>1.267611</td>\n",
       "      <td>1.264813</td>\n",
       "      <td>1.234356</td>\n",
       "      <td>1.226495</td>\n",
       "      <td>1.222722</td>\n",
       "      <td>1.203116</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>-0.054304</td>\n",
       "      <td>-0.048831</td>\n",
       "      <td>-0.045001</td>\n",
       "      <td>-0.040670</td>\n",
       "      <td>-0.036167</td>\n",
       "      <td>-0.033874</td>\n",
       "      <td>-0.032199</td>\n",
       "      <td>-0.035049</td>\n",
       "      <td>-0.038232</td>\n",
       "      <td>-0.041282</td>\n",
       "      <td>...</td>\n",
       "      <td>1.210729</td>\n",
       "      <td>1.221913</td>\n",
       "      <td>1.242830</td>\n",
       "      <td>1.254382</td>\n",
       "      <td>1.261827</td>\n",
       "      <td>1.262558</td>\n",
       "      <td>1.236236</td>\n",
       "      <td>1.229122</td>\n",
       "      <td>1.216279</td>\n",
       "      <td>1.201408</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>-0.051678</td>\n",
       "      <td>-0.046339</td>\n",
       "      <td>-0.042361</td>\n",
       "      <td>-0.037776</td>\n",
       "      <td>-0.033096</td>\n",
       "      <td>-0.030598</td>\n",
       "      <td>-0.028962</td>\n",
       "      <td>-0.031752</td>\n",
       "      <td>-0.035048</td>\n",
       "      <td>-0.038298</td>\n",
       "      <td>...</td>\n",
       "      <td>1.180448</td>\n",
       "      <td>1.194809</td>\n",
       "      <td>1.217104</td>\n",
       "      <td>1.235301</td>\n",
       "      <td>1.246439</td>\n",
       "      <td>1.252946</td>\n",
       "      <td>1.216397</td>\n",
       "      <td>1.214006</td>\n",
       "      <td>1.209310</td>\n",
       "      <td>1.190754</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>-0.053925</td>\n",
       "      <td>-0.048401</td>\n",
       "      <td>-0.044331</td>\n",
       "      <td>-0.039556</td>\n",
       "      <td>-0.034767</td>\n",
       "      <td>-0.032166</td>\n",
       "      <td>-0.030549</td>\n",
       "      <td>-0.033383</td>\n",
       "      <td>-0.037101</td>\n",
       "      <td>-0.040610</td>\n",
       "      <td>...</td>\n",
       "      <td>1.178713</td>\n",
       "      <td>1.197766</td>\n",
       "      <td>1.223781</td>\n",
       "      <td>1.241753</td>\n",
       "      <td>1.263540</td>\n",
       "      <td>1.273625</td>\n",
       "      <td>1.242902</td>\n",
       "      <td>1.236701</td>\n",
       "      <td>1.219255</td>\n",
       "      <td>1.208053</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>-0.054504</td>\n",
       "      <td>-0.048999</td>\n",
       "      <td>-0.045165</td>\n",
       "      <td>-0.040854</td>\n",
       "      <td>-0.036266</td>\n",
       "      <td>-0.033966</td>\n",
       "      <td>-0.032223</td>\n",
       "      <td>-0.035137</td>\n",
       "      <td>-0.038291</td>\n",
       "      <td>-0.041391</td>\n",
       "      <td>...</td>\n",
       "      <td>1.206190</td>\n",
       "      <td>1.217622</td>\n",
       "      <td>1.238100</td>\n",
       "      <td>1.248665</td>\n",
       "      <td>1.253610</td>\n",
       "      <td>1.256744</td>\n",
       "      <td>1.229436</td>\n",
       "      <td>1.223211</td>\n",
       "      <td>1.211060</td>\n",
       "      <td>1.195180</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>-0.048779</td>\n",
       "      <td>-0.043605</td>\n",
       "      <td>-0.039711</td>\n",
       "      <td>-0.035166</td>\n",
       "      <td>-0.031056</td>\n",
       "      <td>-0.028611</td>\n",
       "      <td>-0.027489</td>\n",
       "      <td>-0.029742</td>\n",
       "      <td>-0.032948</td>\n",
       "      <td>-0.035697</td>\n",
       "      <td>...</td>\n",
       "      <td>1.208509</td>\n",
       "      <td>1.215976</td>\n",
       "      <td>1.238093</td>\n",
       "      <td>1.265761</td>\n",
       "      <td>1.284760</td>\n",
       "      <td>1.287255</td>\n",
       "      <td>1.239787</td>\n",
       "      <td>1.232179</td>\n",
       "      <td>1.241105</td>\n",
       "      <td>1.217029</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>-0.053951</td>\n",
       "      <td>-0.048475</td>\n",
       "      <td>-0.044549</td>\n",
       "      <td>-0.040080</td>\n",
       "      <td>-0.035383</td>\n",
       "      <td>-0.032959</td>\n",
       "      <td>-0.031217</td>\n",
       "      <td>-0.034131</td>\n",
       "      <td>-0.037449</td>\n",
       "      <td>-0.040704</td>\n",
       "      <td>...</td>\n",
       "      <td>1.191336</td>\n",
       "      <td>1.205675</td>\n",
       "      <td>1.227700</td>\n",
       "      <td>1.241085</td>\n",
       "      <td>1.250239</td>\n",
       "      <td>1.257738</td>\n",
       "      <td>1.226350</td>\n",
       "      <td>1.221681</td>\n",
       "      <td>1.209729</td>\n",
       "      <td>1.193906</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>-0.054656</td>\n",
       "      <td>-0.049137</td>\n",
       "      <td>-0.045223</td>\n",
       "      <td>-0.040753</td>\n",
       "      <td>-0.036091</td>\n",
       "      <td>-0.033682</td>\n",
       "      <td>-0.031962</td>\n",
       "      <td>-0.034859</td>\n",
       "      <td>-0.038242</td>\n",
       "      <td>-0.041519</td>\n",
       "      <td>...</td>\n",
       "      <td>1.197518</td>\n",
       "      <td>1.211709</td>\n",
       "      <td>1.234377</td>\n",
       "      <td>1.246731</td>\n",
       "      <td>1.257627</td>\n",
       "      <td>1.263886</td>\n",
       "      <td>1.235339</td>\n",
       "      <td>1.228895</td>\n",
       "      <td>1.213996</td>\n",
       "      <td>1.200036</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>-0.053965</td>\n",
       "      <td>-0.048489</td>\n",
       "      <td>-0.044572</td>\n",
       "      <td>-0.040100</td>\n",
       "      <td>-0.035486</td>\n",
       "      <td>-0.033081</td>\n",
       "      <td>-0.031399</td>\n",
       "      <td>-0.034252</td>\n",
       "      <td>-0.037588</td>\n",
       "      <td>-0.040814</td>\n",
       "      <td>...</td>\n",
       "      <td>1.197579</td>\n",
       "      <td>1.211197</td>\n",
       "      <td>1.233560</td>\n",
       "      <td>1.247240</td>\n",
       "      <td>1.257984</td>\n",
       "      <td>1.262987</td>\n",
       "      <td>1.233429</td>\n",
       "      <td>1.227130</td>\n",
       "      <td>1.214942</td>\n",
       "      <td>1.199929</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>-0.053947</td>\n",
       "      <td>-0.048470</td>\n",
       "      <td>-0.044615</td>\n",
       "      <td>-0.040168</td>\n",
       "      <td>-0.035765</td>\n",
       "      <td>-0.033414</td>\n",
       "      <td>-0.031898</td>\n",
       "      <td>-0.034603</td>\n",
       "      <td>-0.037983</td>\n",
       "      <td>-0.041065</td>\n",
       "      <td>...</td>\n",
       "      <td>1.215685</td>\n",
       "      <td>1.227110</td>\n",
       "      <td>1.249918</td>\n",
       "      <td>1.264839</td>\n",
       "      <td>1.279888</td>\n",
       "      <td>1.279910</td>\n",
       "      <td>1.252840</td>\n",
       "      <td>1.242631</td>\n",
       "      <td>1.229373</td>\n",
       "      <td>1.216119</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>-0.052819</td>\n",
       "      <td>-0.047439</td>\n",
       "      <td>-0.043609</td>\n",
       "      <td>-0.039256</td>\n",
       "      <td>-0.034752</td>\n",
       "      <td>-0.032452</td>\n",
       "      <td>-0.030780</td>\n",
       "      <td>-0.033607</td>\n",
       "      <td>-0.036663</td>\n",
       "      <td>-0.039664</td>\n",
       "      <td>...</td>\n",
       "      <td>1.202983</td>\n",
       "      <td>1.213510</td>\n",
       "      <td>1.233576</td>\n",
       "      <td>1.247348</td>\n",
       "      <td>1.252414</td>\n",
       "      <td>1.253636</td>\n",
       "      <td>1.222547</td>\n",
       "      <td>1.217784</td>\n",
       "      <td>1.211435</td>\n",
       "      <td>1.193281</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>-0.052956</td>\n",
       "      <td>-0.047569</td>\n",
       "      <td>-0.043763</td>\n",
       "      <td>-0.039434</td>\n",
       "      <td>-0.035020</td>\n",
       "      <td>-0.032752</td>\n",
       "      <td>-0.031147</td>\n",
       "      <td>-0.033918</td>\n",
       "      <td>-0.036992</td>\n",
       "      <td>-0.039941</td>\n",
       "      <td>...</td>\n",
       "      <td>1.211883</td>\n",
       "      <td>1.221399</td>\n",
       "      <td>1.241589</td>\n",
       "      <td>1.255197</td>\n",
       "      <td>1.261843</td>\n",
       "      <td>1.261154</td>\n",
       "      <td>1.231325</td>\n",
       "      <td>1.224742</td>\n",
       "      <td>1.217481</td>\n",
       "      <td>1.200101</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>-0.053477</td>\n",
       "      <td>-0.048040</td>\n",
       "      <td>-0.044177</td>\n",
       "      <td>-0.039752</td>\n",
       "      <td>-0.035192</td>\n",
       "      <td>-0.032843</td>\n",
       "      <td>-0.031167</td>\n",
       "      <td>-0.034019</td>\n",
       "      <td>-0.037225</td>\n",
       "      <td>-0.040342</td>\n",
       "      <td>...</td>\n",
       "      <td>1.201167</td>\n",
       "      <td>1.213107</td>\n",
       "      <td>1.234549</td>\n",
       "      <td>1.248214</td>\n",
       "      <td>1.256548</td>\n",
       "      <td>1.259004</td>\n",
       "      <td>1.229293</td>\n",
       "      <td>1.223720</td>\n",
       "      <td>1.213634</td>\n",
       "      <td>1.197671</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>-0.053782</td>\n",
       "      <td>-0.048334</td>\n",
       "      <td>-0.044553</td>\n",
       "      <td>-0.040261</td>\n",
       "      <td>-0.035910</td>\n",
       "      <td>-0.033671</td>\n",
       "      <td>-0.032082</td>\n",
       "      <td>-0.034850</td>\n",
       "      <td>-0.037965</td>\n",
       "      <td>-0.040893</td>\n",
       "      <td>...</td>\n",
       "      <td>1.221096</td>\n",
       "      <td>1.230193</td>\n",
       "      <td>1.250506</td>\n",
       "      <td>1.262925</td>\n",
       "      <td>1.270359</td>\n",
       "      <td>1.267776</td>\n",
       "      <td>1.241559</td>\n",
       "      <td>1.232758</td>\n",
       "      <td>1.222663</td>\n",
       "      <td>1.206675</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>-0.053577</td>\n",
       "      <td>-0.048132</td>\n",
       "      <td>-0.044308</td>\n",
       "      <td>-0.039957</td>\n",
       "      <td>-0.035522</td>\n",
       "      <td>-0.033227</td>\n",
       "      <td>-0.031615</td>\n",
       "      <td>-0.034406</td>\n",
       "      <td>-0.037574</td>\n",
       "      <td>-0.040583</td>\n",
       "      <td>...</td>\n",
       "      <td>1.212417</td>\n",
       "      <td>1.222765</td>\n",
       "      <td>1.243708</td>\n",
       "      <td>1.256971</td>\n",
       "      <td>1.265449</td>\n",
       "      <td>1.265222</td>\n",
       "      <td>1.237041</td>\n",
       "      <td>1.229405</td>\n",
       "      <td>1.219632</td>\n",
       "      <td>1.203572</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>-0.050753</td>\n",
       "      <td>-0.045463</td>\n",
       "      <td>-0.041515</td>\n",
       "      <td>-0.036905</td>\n",
       "      <td>-0.032306</td>\n",
       "      <td>-0.029826</td>\n",
       "      <td>-0.028236</td>\n",
       "      <td>-0.030979</td>\n",
       "      <td>-0.034228</td>\n",
       "      <td>-0.037409</td>\n",
       "      <td>...</td>\n",
       "      <td>1.181652</td>\n",
       "      <td>1.194800</td>\n",
       "      <td>1.217059</td>\n",
       "      <td>1.236790</td>\n",
       "      <td>1.248314</td>\n",
       "      <td>1.254232</td>\n",
       "      <td>1.215057</td>\n",
       "      <td>1.212509</td>\n",
       "      <td>1.211632</td>\n",
       "      <td>1.191339</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>-0.052658</td>\n",
       "      <td>-0.047258</td>\n",
       "      <td>-0.043340</td>\n",
       "      <td>-0.038847</td>\n",
       "      <td>-0.034116</td>\n",
       "      <td>-0.031701</td>\n",
       "      <td>-0.029897</td>\n",
       "      <td>-0.032864</td>\n",
       "      <td>-0.036028</td>\n",
       "      <td>-0.039278</td>\n",
       "      <td>...</td>\n",
       "      <td>1.182030</td>\n",
       "      <td>1.196224</td>\n",
       "      <td>1.216991</td>\n",
       "      <td>1.230893</td>\n",
       "      <td>1.236006</td>\n",
       "      <td>1.242142</td>\n",
       "      <td>1.209260</td>\n",
       "      <td>1.207489</td>\n",
       "      <td>1.200224</td>\n",
       "      <td>1.182405</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>-0.050330</td>\n",
       "      <td>-0.045063</td>\n",
       "      <td>-0.041140</td>\n",
       "      <td>-0.036539</td>\n",
       "      <td>-0.031960</td>\n",
       "      <td>-0.029488</td>\n",
       "      <td>-0.027888</td>\n",
       "      <td>-0.030629</td>\n",
       "      <td>-0.033817</td>\n",
       "      <td>-0.036969</td>\n",
       "      <td>...</td>\n",
       "      <td>1.180939</td>\n",
       "      <td>1.193639</td>\n",
       "      <td>1.215280</td>\n",
       "      <td>1.235553</td>\n",
       "      <td>1.245791</td>\n",
       "      <td>1.251561</td>\n",
       "      <td>1.211155</td>\n",
       "      <td>1.209498</td>\n",
       "      <td>1.209942</td>\n",
       "      <td>1.188703</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>-0.050361</td>\n",
       "      <td>-0.045101</td>\n",
       "      <td>-0.041137</td>\n",
       "      <td>-0.036551</td>\n",
       "      <td>-0.032036</td>\n",
       "      <td>-0.029580</td>\n",
       "      <td>-0.028056</td>\n",
       "      <td>-0.030725</td>\n",
       "      <td>-0.033973</td>\n",
       "      <td>-0.037108</td>\n",
       "      <td>...</td>\n",
       "      <td>1.187567</td>\n",
       "      <td>1.199820</td>\n",
       "      <td>1.222013</td>\n",
       "      <td>1.243423</td>\n",
       "      <td>1.257241</td>\n",
       "      <td>1.261572</td>\n",
       "      <td>1.221732</td>\n",
       "      <td>1.217940</td>\n",
       "      <td>1.217785</td>\n",
       "      <td>1.197267</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>-0.054985</td>\n",
       "      <td>-0.049462</td>\n",
       "      <td>-0.045653</td>\n",
       "      <td>-0.041336</td>\n",
       "      <td>-0.036832</td>\n",
       "      <td>-0.034568</td>\n",
       "      <td>-0.032884</td>\n",
       "      <td>-0.035756</td>\n",
       "      <td>-0.038950</td>\n",
       "      <td>-0.041986</td>\n",
       "      <td>...</td>\n",
       "      <td>1.214599</td>\n",
       "      <td>1.225406</td>\n",
       "      <td>1.246003</td>\n",
       "      <td>1.256057</td>\n",
       "      <td>1.262629</td>\n",
       "      <td>1.264374</td>\n",
       "      <td>1.238681</td>\n",
       "      <td>1.230933</td>\n",
       "      <td>1.216581</td>\n",
       "      <td>1.202111</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>-0.050183</td>\n",
       "      <td>-0.044940</td>\n",
       "      <td>-0.041127</td>\n",
       "      <td>-0.036679</td>\n",
       "      <td>-0.032510</td>\n",
       "      <td>-0.030210</td>\n",
       "      <td>-0.028858</td>\n",
       "      <td>-0.031345</td>\n",
       "      <td>-0.034443</td>\n",
       "      <td>-0.037288</td>\n",
       "      <td>...</td>\n",
       "      <td>1.216141</td>\n",
       "      <td>1.223218</td>\n",
       "      <td>1.243712</td>\n",
       "      <td>1.264710</td>\n",
       "      <td>1.277511</td>\n",
       "      <td>1.274270</td>\n",
       "      <td>1.237523</td>\n",
       "      <td>1.229063</td>\n",
       "      <td>1.231540</td>\n",
       "      <td>1.210403</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>-0.053082</td>\n",
       "      <td>-0.047643</td>\n",
       "      <td>-0.043751</td>\n",
       "      <td>-0.039177</td>\n",
       "      <td>-0.034980</td>\n",
       "      <td>-0.032640</td>\n",
       "      <td>-0.031385</td>\n",
       "      <td>-0.033860</td>\n",
       "      <td>-0.037374</td>\n",
       "      <td>-0.040447</td>\n",
       "      <td>...</td>\n",
       "      <td>1.228338</td>\n",
       "      <td>1.237382</td>\n",
       "      <td>1.263024</td>\n",
       "      <td>1.283031</td>\n",
       "      <td>1.308177</td>\n",
       "      <td>1.305300</td>\n",
       "      <td>1.273642</td>\n",
       "      <td>1.261912</td>\n",
       "      <td>1.250046</td>\n",
       "      <td>1.235727</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>-0.053235</td>\n",
       "      <td>-0.047711</td>\n",
       "      <td>-0.043627</td>\n",
       "      <td>-0.038611</td>\n",
       "      <td>-0.034104</td>\n",
       "      <td>-0.031372</td>\n",
       "      <td>-0.030061</td>\n",
       "      <td>-0.032668</td>\n",
       "      <td>-0.036617</td>\n",
       "      <td>-0.040233</td>\n",
       "      <td>...</td>\n",
       "      <td>1.191581</td>\n",
       "      <td>1.208897</td>\n",
       "      <td>1.239097</td>\n",
       "      <td>1.263794</td>\n",
       "      <td>1.298571</td>\n",
       "      <td>1.306558</td>\n",
       "      <td>1.268217</td>\n",
       "      <td>1.261813</td>\n",
       "      <td>1.244565</td>\n",
       "      <td>1.232807</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>-0.053938</td>\n",
       "      <td>-0.048430</td>\n",
       "      <td>-0.044512</td>\n",
       "      <td>-0.039825</td>\n",
       "      <td>-0.035483</td>\n",
       "      <td>-0.033055</td>\n",
       "      <td>-0.031690</td>\n",
       "      <td>-0.034272</td>\n",
       "      <td>-0.037985</td>\n",
       "      <td>-0.041232</td>\n",
       "      <td>...</td>\n",
       "      <td>1.218745</td>\n",
       "      <td>1.230569</td>\n",
       "      <td>1.257716</td>\n",
       "      <td>1.276725</td>\n",
       "      <td>1.302752</td>\n",
       "      <td>1.303381</td>\n",
       "      <td>1.272542</td>\n",
       "      <td>1.262384</td>\n",
       "      <td>1.245210</td>\n",
       "      <td>1.234146</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>-0.054937</td>\n",
       "      <td>-0.049616</td>\n",
       "      <td>-0.046022</td>\n",
       "      <td>-0.042163</td>\n",
       "      <td>-0.038357</td>\n",
       "      <td>-0.036501</td>\n",
       "      <td>-0.035150</td>\n",
       "      <td>-0.037644</td>\n",
       "      <td>-0.040283</td>\n",
       "      <td>-0.042528</td>\n",
       "      <td>...</td>\n",
       "      <td>1.271077</td>\n",
       "      <td>1.271931</td>\n",
       "      <td>1.286620</td>\n",
       "      <td>1.294291</td>\n",
       "      <td>1.289507</td>\n",
       "      <td>1.279740</td>\n",
       "      <td>1.258844</td>\n",
       "      <td>1.242680</td>\n",
       "      <td>1.235728</td>\n",
       "      <td>1.216717</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>-0.053822</td>\n",
       "      <td>-0.048453</td>\n",
       "      <td>-0.044770</td>\n",
       "      <td>-0.040670</td>\n",
       "      <td>-0.036528</td>\n",
       "      <td>-0.034444</td>\n",
       "      <td>-0.032902</td>\n",
       "      <td>-0.035591</td>\n",
       "      <td>-0.038472</td>\n",
       "      <td>-0.041122</td>\n",
       "      <td>...</td>\n",
       "      <td>1.240237</td>\n",
       "      <td>1.245422</td>\n",
       "      <td>1.263961</td>\n",
       "      <td>1.274714</td>\n",
       "      <td>1.277845</td>\n",
       "      <td>1.271085</td>\n",
       "      <td>1.245718</td>\n",
       "      <td>1.235041</td>\n",
       "      <td>1.227215</td>\n",
       "      <td>1.210260</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>-0.050596</td>\n",
       "      <td>-0.045316</td>\n",
       "      <td>-0.041465</td>\n",
       "      <td>-0.036915</td>\n",
       "      <td>-0.032947</td>\n",
       "      <td>-0.030608</td>\n",
       "      <td>-0.029549</td>\n",
       "      <td>-0.031850</td>\n",
       "      <td>-0.035087</td>\n",
       "      <td>-0.037888</td>\n",
       "      <td>...</td>\n",
       "      <td>1.232728</td>\n",
       "      <td>1.237052</td>\n",
       "      <td>1.261732</td>\n",
       "      <td>1.287747</td>\n",
       "      <td>1.311709</td>\n",
       "      <td>1.305475</td>\n",
       "      <td>1.267081</td>\n",
       "      <td>1.255153</td>\n",
       "      <td>1.255240</td>\n",
       "      <td>1.237536</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>-0.049164</td>\n",
       "      <td>-0.043962</td>\n",
       "      <td>-0.039980</td>\n",
       "      <td>-0.035243</td>\n",
       "      <td>-0.030995</td>\n",
       "      <td>-0.028490</td>\n",
       "      <td>-0.027282</td>\n",
       "      <td>-0.029683</td>\n",
       "      <td>-0.033111</td>\n",
       "      <td>-0.036174</td>\n",
       "      <td>...</td>\n",
       "      <td>1.200709</td>\n",
       "      <td>1.210502</td>\n",
       "      <td>1.235416</td>\n",
       "      <td>1.262938</td>\n",
       "      <td>1.286326</td>\n",
       "      <td>1.287805</td>\n",
       "      <td>1.242946</td>\n",
       "      <td>1.236974</td>\n",
       "      <td>1.239529</td>\n",
       "      <td>1.218671</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>-0.055580</td>\n",
       "      <td>-0.050073</td>\n",
       "      <td>-0.046339</td>\n",
       "      <td>-0.042198</td>\n",
       "      <td>-0.037921</td>\n",
       "      <td>-0.035792</td>\n",
       "      <td>-0.034194</td>\n",
       "      <td>-0.036974</td>\n",
       "      <td>-0.040061</td>\n",
       "      <td>-0.042904</td>\n",
       "      <td>...</td>\n",
       "      <td>1.238475</td>\n",
       "      <td>1.245373</td>\n",
       "      <td>1.265787</td>\n",
       "      <td>1.273199</td>\n",
       "      <td>1.278024</td>\n",
       "      <td>1.271971</td>\n",
       "      <td>1.253439</td>\n",
       "      <td>1.241305</td>\n",
       "      <td>1.225222</td>\n",
       "      <td>1.212750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>-0.059136</td>\n",
       "      <td>-0.053372</td>\n",
       "      <td>-0.049446</td>\n",
       "      <td>-0.045148</td>\n",
       "      <td>-0.040382</td>\n",
       "      <td>-0.038170</td>\n",
       "      <td>-0.036228</td>\n",
       "      <td>-0.039394</td>\n",
       "      <td>-0.043073</td>\n",
       "      <td>-0.046632</td>\n",
       "      <td>...</td>\n",
       "      <td>1.228985</td>\n",
       "      <td>1.242318</td>\n",
       "      <td>1.264171</td>\n",
       "      <td>1.268805</td>\n",
       "      <td>1.280342</td>\n",
       "      <td>1.279871</td>\n",
       "      <td>1.268010</td>\n",
       "      <td>1.259756</td>\n",
       "      <td>1.220271</td>\n",
       "      <td>1.216966</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>-0.057111</td>\n",
       "      <td>-0.051314</td>\n",
       "      <td>-0.047393</td>\n",
       "      <td>-0.042847</td>\n",
       "      <td>-0.038438</td>\n",
       "      <td>-0.036009</td>\n",
       "      <td>-0.034538</td>\n",
       "      <td>-0.037290</td>\n",
       "      <td>-0.041169</td>\n",
       "      <td>-0.044694</td>\n",
       "      <td>...</td>\n",
       "      <td>1.235099</td>\n",
       "      <td>1.246810</td>\n",
       "      <td>1.271553</td>\n",
       "      <td>1.285135</td>\n",
       "      <td>1.308677</td>\n",
       "      <td>1.304540</td>\n",
       "      <td>1.285463</td>\n",
       "      <td>1.266011</td>\n",
       "      <td>1.241871</td>\n",
       "      <td>1.236567</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>-0.058882</td>\n",
       "      <td>-0.053049</td>\n",
       "      <td>-0.049042</td>\n",
       "      <td>-0.044296</td>\n",
       "      <td>-0.039573</td>\n",
       "      <td>-0.037017</td>\n",
       "      <td>-0.035198</td>\n",
       "      <td>-0.038167</td>\n",
       "      <td>-0.042141</td>\n",
       "      <td>-0.046001</td>\n",
       "      <td>...</td>\n",
       "      <td>1.203018</td>\n",
       "      <td>1.222756</td>\n",
       "      <td>1.248328</td>\n",
       "      <td>1.258400</td>\n",
       "      <td>1.279496</td>\n",
       "      <td>1.287574</td>\n",
       "      <td>1.267464</td>\n",
       "      <td>1.252284</td>\n",
       "      <td>1.221925</td>\n",
       "      <td>1.220150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>-0.058008</td>\n",
       "      <td>-0.052188</td>\n",
       "      <td>-0.048296</td>\n",
       "      <td>-0.043886</td>\n",
       "      <td>-0.039406</td>\n",
       "      <td>-0.037103</td>\n",
       "      <td>-0.035459</td>\n",
       "      <td>-0.038367</td>\n",
       "      <td>-0.042100</td>\n",
       "      <td>-0.045586</td>\n",
       "      <td>...</td>\n",
       "      <td>1.237648</td>\n",
       "      <td>1.248064</td>\n",
       "      <td>1.271100</td>\n",
       "      <td>1.281126</td>\n",
       "      <td>1.300353</td>\n",
       "      <td>1.296542</td>\n",
       "      <td>1.280393</td>\n",
       "      <td>1.264950</td>\n",
       "      <td>1.235697</td>\n",
       "      <td>1.231128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>-0.060301</td>\n",
       "      <td>-0.054266</td>\n",
       "      <td>-0.050460</td>\n",
       "      <td>-0.046194</td>\n",
       "      <td>-0.041535</td>\n",
       "      <td>-0.039293</td>\n",
       "      <td>-0.037371</td>\n",
       "      <td>-0.040595</td>\n",
       "      <td>-0.044203</td>\n",
       "      <td>-0.047757</td>\n",
       "      <td>...</td>\n",
       "      <td>1.238873</td>\n",
       "      <td>1.251317</td>\n",
       "      <td>1.272393</td>\n",
       "      <td>1.273289</td>\n",
       "      <td>1.282158</td>\n",
       "      <td>1.279125</td>\n",
       "      <td>1.269740</td>\n",
       "      <td>1.252344</td>\n",
       "      <td>1.219616</td>\n",
       "      <td>1.217948</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>-0.055960</td>\n",
       "      <td>-0.050522</td>\n",
       "      <td>-0.046869</td>\n",
       "      <td>-0.042931</td>\n",
       "      <td>-0.038250</td>\n",
       "      <td>-0.036244</td>\n",
       "      <td>-0.034169</td>\n",
       "      <td>-0.037386</td>\n",
       "      <td>-0.039845</td>\n",
       "      <td>-0.042610</td>\n",
       "      <td>...</td>\n",
       "      <td>1.207437</td>\n",
       "      <td>1.215240</td>\n",
       "      <td>1.229888</td>\n",
       "      <td>1.229735</td>\n",
       "      <td>1.216010</td>\n",
       "      <td>1.214835</td>\n",
       "      <td>1.192641</td>\n",
       "      <td>1.192468</td>\n",
       "      <td>1.183013</td>\n",
       "      <td>1.161119</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>-0.054456</td>\n",
       "      <td>-0.049080</td>\n",
       "      <td>-0.045532</td>\n",
       "      <td>-0.041673</td>\n",
       "      <td>-0.037456</td>\n",
       "      <td>-0.035554</td>\n",
       "      <td>-0.033783</td>\n",
       "      <td>-0.036708</td>\n",
       "      <td>-0.039107</td>\n",
       "      <td>-0.041584</td>\n",
       "      <td>...</td>\n",
       "      <td>1.239420</td>\n",
       "      <td>1.241961</td>\n",
       "      <td>1.255507</td>\n",
       "      <td>1.257868</td>\n",
       "      <td>1.249672</td>\n",
       "      <td>1.240661</td>\n",
       "      <td>1.214980</td>\n",
       "      <td>1.209866</td>\n",
       "      <td>1.203786</td>\n",
       "      <td>1.184504</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>-0.056568</td>\n",
       "      <td>-0.051112</td>\n",
       "      <td>-0.047583</td>\n",
       "      <td>-0.043822</td>\n",
       "      <td>-0.039216</td>\n",
       "      <td>-0.037416</td>\n",
       "      <td>-0.035287</td>\n",
       "      <td>-0.038568</td>\n",
       "      <td>-0.040799</td>\n",
       "      <td>-0.043364</td>\n",
       "      <td>...</td>\n",
       "      <td>1.223968</td>\n",
       "      <td>1.228973</td>\n",
       "      <td>1.241482</td>\n",
       "      <td>1.236950</td>\n",
       "      <td>1.217875</td>\n",
       "      <td>1.212111</td>\n",
       "      <td>1.191844</td>\n",
       "      <td>1.193316</td>\n",
       "      <td>1.179914</td>\n",
       "      <td>1.161907</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>-0.052905</td>\n",
       "      <td>-0.047683</td>\n",
       "      <td>-0.043834</td>\n",
       "      <td>-0.039821</td>\n",
       "      <td>-0.034892</td>\n",
       "      <td>-0.032595</td>\n",
       "      <td>-0.030303</td>\n",
       "      <td>-0.033787</td>\n",
       "      <td>-0.036032</td>\n",
       "      <td>-0.039285</td>\n",
       "      <td>...</td>\n",
       "      <td>1.164102</td>\n",
       "      <td>1.170434</td>\n",
       "      <td>1.195120</td>\n",
       "      <td>1.195928</td>\n",
       "      <td>1.167991</td>\n",
       "      <td>1.174776</td>\n",
       "      <td>1.139227</td>\n",
       "      <td>1.146678</td>\n",
       "      <td>1.153632</td>\n",
       "      <td>1.120163</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>-0.051192</td>\n",
       "      <td>-0.046084</td>\n",
       "      <td>-0.042404</td>\n",
       "      <td>-0.038540</td>\n",
       "      <td>-0.034053</td>\n",
       "      <td>-0.032140</td>\n",
       "      <td>-0.030157</td>\n",
       "      <td>-0.033187</td>\n",
       "      <td>-0.035165</td>\n",
       "      <td>-0.037832</td>\n",
       "      <td>...</td>\n",
       "      <td>1.204217</td>\n",
       "      <td>1.204786</td>\n",
       "      <td>1.214213</td>\n",
       "      <td>1.230596</td>\n",
       "      <td>1.201998</td>\n",
       "      <td>1.200182</td>\n",
       "      <td>1.155315</td>\n",
       "      <td>1.166169</td>\n",
       "      <td>1.172675</td>\n",
       "      <td>1.144269</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>-0.048543</td>\n",
       "      <td>-0.043396</td>\n",
       "      <td>-0.039620</td>\n",
       "      <td>-0.035261</td>\n",
       "      <td>-0.031145</td>\n",
       "      <td>-0.028920</td>\n",
       "      <td>-0.027484</td>\n",
       "      <td>-0.030017</td>\n",
       "      <td>-0.032735</td>\n",
       "      <td>-0.035427</td>\n",
       "      <td>...</td>\n",
       "      <td>1.209280</td>\n",
       "      <td>1.212992</td>\n",
       "      <td>1.230334</td>\n",
       "      <td>1.249001</td>\n",
       "      <td>1.258510</td>\n",
       "      <td>1.253174</td>\n",
       "      <td>1.206148</td>\n",
       "      <td>1.204162</td>\n",
       "      <td>1.214249</td>\n",
       "      <td>1.190338</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>-0.059693</td>\n",
       "      <td>-0.054125</td>\n",
       "      <td>-0.050482</td>\n",
       "      <td>-0.046583</td>\n",
       "      <td>-0.041310</td>\n",
       "      <td>-0.039339</td>\n",
       "      <td>-0.036829</td>\n",
       "      <td>-0.040475</td>\n",
       "      <td>-0.042717</td>\n",
       "      <td>-0.045626</td>\n",
       "      <td>...</td>\n",
       "      <td>1.180335</td>\n",
       "      <td>1.191169</td>\n",
       "      <td>1.204175</td>\n",
       "      <td>1.201023</td>\n",
       "      <td>1.169180</td>\n",
       "      <td>1.171552</td>\n",
       "      <td>1.159554</td>\n",
       "      <td>1.162342</td>\n",
       "      <td>1.152404</td>\n",
       "      <td>1.136330</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>-0.055976</td>\n",
       "      <td>-0.050555</td>\n",
       "      <td>-0.046934</td>\n",
       "      <td>-0.043115</td>\n",
       "      <td>-0.038493</td>\n",
       "      <td>-0.036540</td>\n",
       "      <td>-0.034382</td>\n",
       "      <td>-0.037723</td>\n",
       "      <td>-0.039976</td>\n",
       "      <td>-0.042716</td>\n",
       "      <td>...</td>\n",
       "      <td>1.214061</td>\n",
       "      <td>1.220646</td>\n",
       "      <td>1.233553</td>\n",
       "      <td>1.230399</td>\n",
       "      <td>1.212535</td>\n",
       "      <td>1.207884</td>\n",
       "      <td>1.186475</td>\n",
       "      <td>1.188435</td>\n",
       "      <td>1.176809</td>\n",
       "      <td>1.158402</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>-0.060607</td>\n",
       "      <td>-0.054840</td>\n",
       "      <td>-0.051313</td>\n",
       "      <td>-0.047537</td>\n",
       "      <td>-0.042871</td>\n",
       "      <td>-0.041024</td>\n",
       "      <td>-0.038815</td>\n",
       "      <td>-0.042319</td>\n",
       "      <td>-0.044700</td>\n",
       "      <td>-0.047464</td>\n",
       "      <td>...</td>\n",
       "      <td>1.228713</td>\n",
       "      <td>1.238880</td>\n",
       "      <td>1.253178</td>\n",
       "      <td>1.240613</td>\n",
       "      <td>1.221115</td>\n",
       "      <td>1.217393</td>\n",
       "      <td>1.209066</td>\n",
       "      <td>1.206951</td>\n",
       "      <td>1.179831</td>\n",
       "      <td>1.168238</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>-0.056943</td>\n",
       "      <td>-0.051407</td>\n",
       "      <td>-0.047764</td>\n",
       "      <td>-0.043953</td>\n",
       "      <td>-0.039087</td>\n",
       "      <td>-0.037047</td>\n",
       "      <td>-0.034760</td>\n",
       "      <td>-0.038192</td>\n",
       "      <td>-0.040721</td>\n",
       "      <td>-0.043646</td>\n",
       "      <td>...</td>\n",
       "      <td>1.203313</td>\n",
       "      <td>1.212129</td>\n",
       "      <td>1.226882</td>\n",
       "      <td>1.226111</td>\n",
       "      <td>1.203750</td>\n",
       "      <td>1.203302</td>\n",
       "      <td>1.186381</td>\n",
       "      <td>1.186690</td>\n",
       "      <td>1.173315</td>\n",
       "      <td>1.152874</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>60 rows × 401 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         0         1         2         3         4         5         6    \\\n",
       "0  -0.047637 -0.042494 -0.038693 -0.034349 -0.030292 -0.028006 -0.026761   \n",
       "1  -0.044526 -0.039469 -0.035202 -0.029961 -0.025365 -0.022465 -0.021381   \n",
       "2  -0.049028 -0.043788 -0.039523 -0.034326 -0.029643 -0.026734 -0.025609   \n",
       "3  -0.043804 -0.038810 -0.034727 -0.029781 -0.025472 -0.022833 -0.021727   \n",
       "4  -0.050624 -0.045423 -0.041740 -0.037530 -0.033607 -0.031369 -0.030102   \n",
       "5  -0.045705 -0.040741 -0.036878 -0.032344 -0.028343 -0.025950 -0.024910   \n",
       "6  -0.052084 -0.046748 -0.042978 -0.038679 -0.034507 -0.032269 -0.030897   \n",
       "7  -0.051500 -0.046123 -0.042063 -0.037237 -0.032637 -0.030007 -0.028605   \n",
       "8  -0.051986 -0.046645 -0.042812 -0.038413 -0.034112 -0.031799 -0.030371   \n",
       "9  -0.052243 -0.046917 -0.043185 -0.038977 -0.034785 -0.032616 -0.031157   \n",
       "10 -0.052761 -0.047432 -0.043892 -0.040067 -0.036132 -0.034193 -0.032724   \n",
       "11 -0.050719 -0.045487 -0.041747 -0.037555 -0.033566 -0.031369 -0.030154   \n",
       "12 -0.050337 -0.044979 -0.040941 -0.036130 -0.031671 -0.029048 -0.027781   \n",
       "13 -0.050683 -0.045373 -0.041219 -0.036311 -0.031463 -0.028709 -0.027253   \n",
       "14 -0.050993 -0.045813 -0.041345 -0.035926 -0.031024 -0.027830 -0.026777   \n",
       "15 -0.048092 -0.042917 -0.039074 -0.034564 -0.030588 -0.028236 -0.027161   \n",
       "16 -0.052544 -0.047200 -0.043436 -0.039201 -0.034912 -0.032704 -0.031167   \n",
       "17 -0.054304 -0.048831 -0.045001 -0.040670 -0.036167 -0.033874 -0.032199   \n",
       "18 -0.051678 -0.046339 -0.042361 -0.037776 -0.033096 -0.030598 -0.028962   \n",
       "19 -0.053925 -0.048401 -0.044331 -0.039556 -0.034767 -0.032166 -0.030549   \n",
       "20 -0.054504 -0.048999 -0.045165 -0.040854 -0.036266 -0.033966 -0.032223   \n",
       "21 -0.048779 -0.043605 -0.039711 -0.035166 -0.031056 -0.028611 -0.027489   \n",
       "22 -0.053951 -0.048475 -0.044549 -0.040080 -0.035383 -0.032959 -0.031217   \n",
       "23 -0.054656 -0.049137 -0.045223 -0.040753 -0.036091 -0.033682 -0.031962   \n",
       "24 -0.053965 -0.048489 -0.044572 -0.040100 -0.035486 -0.033081 -0.031399   \n",
       "25 -0.053947 -0.048470 -0.044615 -0.040168 -0.035765 -0.033414 -0.031898   \n",
       "26 -0.052819 -0.047439 -0.043609 -0.039256 -0.034752 -0.032452 -0.030780   \n",
       "27 -0.052956 -0.047569 -0.043763 -0.039434 -0.035020 -0.032752 -0.031147   \n",
       "28 -0.053477 -0.048040 -0.044177 -0.039752 -0.035192 -0.032843 -0.031167   \n",
       "29 -0.053782 -0.048334 -0.044553 -0.040261 -0.035910 -0.033671 -0.032082   \n",
       "30 -0.053577 -0.048132 -0.044308 -0.039957 -0.035522 -0.033227 -0.031615   \n",
       "31 -0.050753 -0.045463 -0.041515 -0.036905 -0.032306 -0.029826 -0.028236   \n",
       "32 -0.052658 -0.047258 -0.043340 -0.038847 -0.034116 -0.031701 -0.029897   \n",
       "33 -0.050330 -0.045063 -0.041140 -0.036539 -0.031960 -0.029488 -0.027888   \n",
       "34 -0.050361 -0.045101 -0.041137 -0.036551 -0.032036 -0.029580 -0.028056   \n",
       "35 -0.054985 -0.049462 -0.045653 -0.041336 -0.036832 -0.034568 -0.032884   \n",
       "36 -0.050183 -0.044940 -0.041127 -0.036679 -0.032510 -0.030210 -0.028858   \n",
       "37 -0.053082 -0.047643 -0.043751 -0.039177 -0.034980 -0.032640 -0.031385   \n",
       "38 -0.053235 -0.047711 -0.043627 -0.038611 -0.034104 -0.031372 -0.030061   \n",
       "39 -0.053938 -0.048430 -0.044512 -0.039825 -0.035483 -0.033055 -0.031690   \n",
       "40 -0.054937 -0.049616 -0.046022 -0.042163 -0.038357 -0.036501 -0.035150   \n",
       "41 -0.053822 -0.048453 -0.044770 -0.040670 -0.036528 -0.034444 -0.032902   \n",
       "42 -0.050596 -0.045316 -0.041465 -0.036915 -0.032947 -0.030608 -0.029549   \n",
       "43 -0.049164 -0.043962 -0.039980 -0.035243 -0.030995 -0.028490 -0.027282   \n",
       "44 -0.055580 -0.050073 -0.046339 -0.042198 -0.037921 -0.035792 -0.034194   \n",
       "45 -0.059136 -0.053372 -0.049446 -0.045148 -0.040382 -0.038170 -0.036228   \n",
       "46 -0.057111 -0.051314 -0.047393 -0.042847 -0.038438 -0.036009 -0.034538   \n",
       "47 -0.058882 -0.053049 -0.049042 -0.044296 -0.039573 -0.037017 -0.035198   \n",
       "48 -0.058008 -0.052188 -0.048296 -0.043886 -0.039406 -0.037103 -0.035459   \n",
       "49 -0.060301 -0.054266 -0.050460 -0.046194 -0.041535 -0.039293 -0.037371   \n",
       "50 -0.055960 -0.050522 -0.046869 -0.042931 -0.038250 -0.036244 -0.034169   \n",
       "51 -0.054456 -0.049080 -0.045532 -0.041673 -0.037456 -0.035554 -0.033783   \n",
       "52 -0.056568 -0.051112 -0.047583 -0.043822 -0.039216 -0.037416 -0.035287   \n",
       "53 -0.052905 -0.047683 -0.043834 -0.039821 -0.034892 -0.032595 -0.030303   \n",
       "54 -0.051192 -0.046084 -0.042404 -0.038540 -0.034053 -0.032140 -0.030157   \n",
       "55 -0.048543 -0.043396 -0.039620 -0.035261 -0.031145 -0.028920 -0.027484   \n",
       "56 -0.059693 -0.054125 -0.050482 -0.046583 -0.041310 -0.039339 -0.036829   \n",
       "57 -0.055976 -0.050555 -0.046934 -0.043115 -0.038493 -0.036540 -0.034382   \n",
       "58 -0.060607 -0.054840 -0.051313 -0.047537 -0.042871 -0.041024 -0.038815   \n",
       "59 -0.056943 -0.051407 -0.047764 -0.043953 -0.039087 -0.037047 -0.034760   \n",
       "\n",
       "         7         8         9    ...       391       392       393       394  \\\n",
       "0  -0.029198 -0.032074 -0.034737  ...  1.216597  1.219273  1.238665  1.264580   \n",
       "1  -0.023503 -0.027150 -0.030395  ...  1.147647  1.163132  1.188177  1.229174   \n",
       "2  -0.027837 -0.031863 -0.035384  ...  1.153025  1.173436  1.203704  1.237631   \n",
       "3  -0.023996 -0.027241 -0.030184  ...  1.169744  1.179724  1.201307  1.237315   \n",
       "4  -0.032361 -0.035336 -0.037803  ...  1.242196  1.246887  1.266674  1.287483   \n",
       "5  -0.027057 -0.030122 -0.032745  ...  1.206838  1.212801  1.233005  1.265096   \n",
       "6  -0.033445 -0.036538 -0.039282  ...  1.227423  1.234674  1.255328  1.272558   \n",
       "7  -0.031160 -0.034865 -0.038216  ...  1.180503  1.197158  1.223409  1.247895   \n",
       "8  -0.032961 -0.036153 -0.039047  ...  1.215204  1.224414  1.245950  1.264164   \n",
       "9  -0.033768 -0.036728 -0.039411  ...  1.228649  1.234915  1.254482  1.269522   \n",
       "10 -0.035331 -0.037936 -0.040180  ...  1.258062  1.259872  1.275673  1.285857   \n",
       "11 -0.032508 -0.035493 -0.038087  ...  1.237011  1.240754  1.259886  1.279848   \n",
       "12 -0.030212 -0.033881 -0.037138  ...  1.187385  1.201444  1.227517  1.254800   \n",
       "13 -0.029864 -0.033528 -0.037010  ...  1.155718  1.175223  1.201453  1.227970   \n",
       "14 -0.028950 -0.033092 -0.036785  ...  1.127577  1.150100  1.184809  1.220074   \n",
       "15 -0.029373 -0.032590 -0.035287  ...  1.220984  1.225440  1.248258  1.275966   \n",
       "16 -0.033857 -0.036833 -0.039609  ...  1.220977  1.228313  1.247805  1.262213   \n",
       "17 -0.035049 -0.038232 -0.041282  ...  1.210729  1.221913  1.242830  1.254382   \n",
       "18 -0.031752 -0.035048 -0.038298  ...  1.180448  1.194809  1.217104  1.235301   \n",
       "19 -0.033383 -0.037101 -0.040610  ...  1.178713  1.197766  1.223781  1.241753   \n",
       "20 -0.035137 -0.038291 -0.041391  ...  1.206190  1.217622  1.238100  1.248665   \n",
       "21 -0.029742 -0.032948 -0.035697  ...  1.208509  1.215976  1.238093  1.265761   \n",
       "22 -0.034131 -0.037449 -0.040704  ...  1.191336  1.205675  1.227700  1.241085   \n",
       "23 -0.034859 -0.038242 -0.041519  ...  1.197518  1.211709  1.234377  1.246731   \n",
       "24 -0.034252 -0.037588 -0.040814  ...  1.197579  1.211197  1.233560  1.247240   \n",
       "25 -0.034603 -0.037983 -0.041065  ...  1.215685  1.227110  1.249918  1.264839   \n",
       "26 -0.033607 -0.036663 -0.039664  ...  1.202983  1.213510  1.233576  1.247348   \n",
       "27 -0.033918 -0.036992 -0.039941  ...  1.211883  1.221399  1.241589  1.255197   \n",
       "28 -0.034019 -0.037225 -0.040342  ...  1.201167  1.213107  1.234549  1.248214   \n",
       "29 -0.034850 -0.037965 -0.040893  ...  1.221096  1.230193  1.250506  1.262925   \n",
       "30 -0.034406 -0.037574 -0.040583  ...  1.212417  1.222765  1.243708  1.256971   \n",
       "31 -0.030979 -0.034228 -0.037409  ...  1.181652  1.194800  1.217059  1.236790   \n",
       "32 -0.032864 -0.036028 -0.039278  ...  1.182030  1.196224  1.216991  1.230893   \n",
       "33 -0.030629 -0.033817 -0.036969  ...  1.180939  1.193639  1.215280  1.235553   \n",
       "34 -0.030725 -0.033973 -0.037108  ...  1.187567  1.199820  1.222013  1.243423   \n",
       "35 -0.035756 -0.038950 -0.041986  ...  1.214599  1.225406  1.246003  1.256057   \n",
       "36 -0.031345 -0.034443 -0.037288  ...  1.216141  1.223218  1.243712  1.264710   \n",
       "37 -0.033860 -0.037374 -0.040447  ...  1.228338  1.237382  1.263024  1.283031   \n",
       "38 -0.032668 -0.036617 -0.040233  ...  1.191581  1.208897  1.239097  1.263794   \n",
       "39 -0.034272 -0.037985 -0.041232  ...  1.218745  1.230569  1.257716  1.276725   \n",
       "40 -0.037644 -0.040283 -0.042528  ...  1.271077  1.271931  1.286620  1.294291   \n",
       "41 -0.035591 -0.038472 -0.041122  ...  1.240237  1.245422  1.263961  1.274714   \n",
       "42 -0.031850 -0.035087 -0.037888  ...  1.232728  1.237052  1.261732  1.287747   \n",
       "43 -0.029683 -0.033111 -0.036174  ...  1.200709  1.210502  1.235416  1.262938   \n",
       "44 -0.036974 -0.040061 -0.042904  ...  1.238475  1.245373  1.265787  1.273199   \n",
       "45 -0.039394 -0.043073 -0.046632  ...  1.228985  1.242318  1.264171  1.268805   \n",
       "46 -0.037290 -0.041169 -0.044694  ...  1.235099  1.246810  1.271553  1.285135   \n",
       "47 -0.038167 -0.042141 -0.046001  ...  1.203018  1.222756  1.248328  1.258400   \n",
       "48 -0.038367 -0.042100 -0.045586  ...  1.237648  1.248064  1.271100  1.281126   \n",
       "49 -0.040595 -0.044203 -0.047757  ...  1.238873  1.251317  1.272393  1.273289   \n",
       "50 -0.037386 -0.039845 -0.042610  ...  1.207437  1.215240  1.229888  1.229735   \n",
       "51 -0.036708 -0.039107 -0.041584  ...  1.239420  1.241961  1.255507  1.257868   \n",
       "52 -0.038568 -0.040799 -0.043364  ...  1.223968  1.228973  1.241482  1.236950   \n",
       "53 -0.033787 -0.036032 -0.039285  ...  1.164102  1.170434  1.195120  1.195928   \n",
       "54 -0.033187 -0.035165 -0.037832  ...  1.204217  1.204786  1.214213  1.230596   \n",
       "55 -0.030017 -0.032735 -0.035427  ...  1.209280  1.212992  1.230334  1.249001   \n",
       "56 -0.040475 -0.042717 -0.045626  ...  1.180335  1.191169  1.204175  1.201023   \n",
       "57 -0.037723 -0.039976 -0.042716  ...  1.214061  1.220646  1.233553  1.230399   \n",
       "58 -0.042319 -0.044700 -0.047464  ...  1.228713  1.238880  1.253178  1.240613   \n",
       "59 -0.038192 -0.040721 -0.043646  ...  1.203313  1.212129  1.226882  1.226111   \n",
       "\n",
       "         395       396       397       398       399       400  \n",
       "0   1.276182  1.271058  1.221824  1.217379  1.230466  1.204159  \n",
       "1   1.261016  1.271847  1.209454  1.209287  1.228007  1.201681  \n",
       "2   1.277363  1.293061  1.242832  1.238199  1.235285  1.218615  \n",
       "3   1.255866  1.260941  1.200861  1.201215  1.223371  1.192680  \n",
       "4   1.299825  1.290147  1.258939  1.245708  1.247596  1.227744  \n",
       "5   1.282073  1.278787  1.228466  1.222590  1.241473  1.212971  \n",
       "6   1.284257  1.279184  1.248589  1.238505  1.234466  1.216267  \n",
       "7   1.273908  1.281658  1.243242  1.237054  1.229039  1.214441  \n",
       "8   1.277040  1.275517  1.242827  1.234425  1.229843  1.211847  \n",
       "9   1.276691  1.270888  1.241364  1.232293  1.228907  1.209911  \n",
       "10  1.282160  1.266374  1.246310  1.234209  1.232553  1.212143  \n",
       "11  1.289945  1.287291  1.249581  1.238271  1.241985  1.219502  \n",
       "12  1.282302  1.290082  1.246574  1.239172  1.236958  1.218669  \n",
       "13  1.252388  1.266835  1.222849  1.221118  1.215582  1.198408  \n",
       "14  1.266804  1.290699  1.230213  1.235776  1.226743  1.214338  \n",
       "15  1.295191  1.289906  1.244780  1.237523  1.245567  1.222711  \n",
       "16  1.267611  1.264813  1.234356  1.226495  1.222722  1.203116  \n",
       "17  1.261827  1.262558  1.236236  1.229122  1.216279  1.201408  \n",
       "18  1.246439  1.252946  1.216397  1.214006  1.209310  1.190754  \n",
       "19  1.263540  1.273625  1.242902  1.236701  1.219255  1.208053  \n",
       "20  1.253610  1.256744  1.229436  1.223211  1.211060  1.195180  \n",
       "21  1.284760  1.287255  1.239787  1.232179  1.241105  1.217029  \n",
       "22  1.250239  1.257738  1.226350  1.221681  1.209729  1.193906  \n",
       "23  1.257627  1.263886  1.235339  1.228895  1.213996  1.200036  \n",
       "24  1.257984  1.262987  1.233429  1.227130  1.214942  1.199929  \n",
       "25  1.279888  1.279910  1.252840  1.242631  1.229373  1.216119  \n",
       "26  1.252414  1.253636  1.222547  1.217784  1.211435  1.193281  \n",
       "27  1.261843  1.261154  1.231325  1.224742  1.217481  1.200101  \n",
       "28  1.256548  1.259004  1.229293  1.223720  1.213634  1.197671  \n",
       "29  1.270359  1.267776  1.241559  1.232758  1.222663  1.206675  \n",
       "30  1.265449  1.265222  1.237041  1.229405  1.219632  1.203572  \n",
       "31  1.248314  1.254232  1.215057  1.212509  1.211632  1.191339  \n",
       "32  1.236006  1.242142  1.209260  1.207489  1.200224  1.182405  \n",
       "33  1.245791  1.251561  1.211155  1.209498  1.209942  1.188703  \n",
       "34  1.257241  1.261572  1.221732  1.217940  1.217785  1.197267  \n",
       "35  1.262629  1.264374  1.238681  1.230933  1.216581  1.202111  \n",
       "36  1.277511  1.274270  1.237523  1.229063  1.231540  1.210403  \n",
       "37  1.308177  1.305300  1.273642  1.261912  1.250046  1.235727  \n",
       "38  1.298571  1.306558  1.268217  1.261813  1.244565  1.232807  \n",
       "39  1.302752  1.303381  1.272542  1.262384  1.245210  1.234146  \n",
       "40  1.289507  1.279740  1.258844  1.242680  1.235728  1.216717  \n",
       "41  1.277845  1.271085  1.245718  1.235041  1.227215  1.210260  \n",
       "42  1.311709  1.305475  1.267081  1.255153  1.255240  1.237536  \n",
       "43  1.286326  1.287805  1.242946  1.236974  1.239529  1.218671  \n",
       "44  1.278024  1.271971  1.253439  1.241305  1.225222  1.212750  \n",
       "45  1.280342  1.279871  1.268010  1.259756  1.220271  1.216966  \n",
       "46  1.308677  1.304540  1.285463  1.266011  1.241871  1.236567  \n",
       "47  1.279496  1.287574  1.267464  1.252284  1.221925  1.220150  \n",
       "48  1.300353  1.296542  1.280393  1.264950  1.235697  1.231128  \n",
       "49  1.282158  1.279125  1.269740  1.252344  1.219616  1.217948  \n",
       "50  1.216010  1.214835  1.192641  1.192468  1.183013  1.161119  \n",
       "51  1.249672  1.240661  1.214980  1.209866  1.203786  1.184504  \n",
       "52  1.217875  1.212111  1.191844  1.193316  1.179914  1.161907  \n",
       "53  1.167991  1.174776  1.139227  1.146678  1.153632  1.120163  \n",
       "54  1.201998  1.200182  1.155315  1.166169  1.172675  1.144269  \n",
       "55  1.258510  1.253174  1.206148  1.204162  1.214249  1.190338  \n",
       "56  1.169180  1.171552  1.159554  1.162342  1.152404  1.136330  \n",
       "57  1.212535  1.207884  1.186475  1.188435  1.176809  1.158402  \n",
       "58  1.221115  1.217393  1.209066  1.206951  1.179831  1.168238  \n",
       "59  1.203750  1.203302  1.186381  1.186690  1.173315  1.152874  \n",
       "\n",
       "[60 rows x 401 columns]"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get validated predicted X for a given number of components\n",
    "\n",
    "# Predicted X from validation using 3 components\n",
    "X_from_3_component_val = model.X_predVal()[3]\n",
    "\n",
    "# Predicted X from calibration using 3 components stored in pandas data frame with row and columns names\n",
    "X_from_3_component_val_df = pd.DataFrame(model.X_predVal()[3])\n",
    "#X_from_3_component_val_df.index = data_objNames\n",
    "#X_from_3_component_val_df.columns = data_varNames\n",
    "X_from_3_component_val_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function X_predVal in module hoggorm.pca:\n",
      "\n",
      "X_predVal(self)\n",
      "    Returns a dictionary holding the predicted arrays Xhat from\n",
      "    validation after each computed component. Dictionary key represents\n",
      "    order of component.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(ho.nipalsPCA.X_predVal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>PC0</th>\n",
       "      <th>PC1</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>new object 0</th>\n",
       "      <td>2.143577</td>\n",
       "      <td>7.487844</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>new object 1</th>\n",
       "      <td>2.930911</td>\n",
       "      <td>6.962830</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>new object 2</th>\n",
       "      <td>1.878479</td>\n",
       "      <td>7.650605</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>new object 3</th>\n",
       "      <td>2.172548</td>\n",
       "      <td>7.371672</td>\n",
       "    </tr>\n",
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      ],
      "text/plain": [
       "                   PC0       PC1\n",
       "new object 0  2.143577  7.487844\n",
       "new object 1  2.930911  6.962830\n",
       "new object 2  1.878479  7.650605\n",
       "new object 3  2.172548  7.371672"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get predicted scores for new measurements (objects) of X\n",
    "\n",
    "# First pretend that we acquired new X data by using part of the existing data and overlaying some noise\n",
    "import numpy.random as npr\n",
    "new_data = data[0:4, :] + npr.rand(4, np.shape(data)[1])\n",
    "np.shape(new_data)\n",
    "\n",
    "# Now insert the new data into the existing model and compute scores for two components (numComp=2)\n",
    "pred_scores = model.X_scores_predict(new_data, numComp=2)\n",
    "\n",
    "# Same as above, but results stored in a pandas dataframe with row names and column names\n",
    "pred_scores_df = pd.DataFrame(model.X_scores_predict(new_data, numComp=2))\n",
    "pred_scores_df.columns = ['PC{0}'.format(x) for x in range(2)]\n",
    "pred_scores_df.index = ['new object {0}'.format(x) for x in range(np.shape(new_data)[0])]\n",
    "pred_scores_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function X_scores_predict in module hoggorm.pca:\n",
      "\n",
      "X_scores_predict(self, Xnew, numComp=None)\n",
      "    Returns array of X scores from new X data using the exsisting model.\n",
      "    Rows represent objects and columns represent components.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(ho.nipalsPCA.X_scores_predict)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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