{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e69a87fa-121f-484a-a508-94fb3003a8b3",
   "metadata": {},
   "source": [
    "# Feldspar-liquid thermobarometry\n",
    "- Unlike for Cpx and Opx, because the components are calculated the same for Plag and Kspar, we have a single function, calculate_liq_fspar_temp and calculate_liq_fspar_press.\n",
    "- If the mineral is plagioclase, the functions should use plag_comps=dataframe, while if its Kspar, kspar_comps=dataframe\n",
    "- You can download the excel spreadsheet here: https://github.com/PennyWieser/Thermobar/blob/main/docs/Examples/Feldspar_Thermobarometry/Feldspar_Liquid.xlsx"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae1b9bbe-4d1b-4532-ad5f-df35f5c70370",
   "metadata": {},
   "source": [
    "### You need to install Thermobar once on your machine, if you haven't done this yet, uncomment the line below (remove the #)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3f8cd48b-4580-4ecb-91e3-28a77ddde469",
   "metadata": {},
   "outputs": [],
   "source": [
    "#!pip install Thermobar"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "262b4900-1ff1-4339-8e0c-0fb8178a074e",
   "metadata": {},
   "source": [
    "## first, load python things"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "676d20fc-4bae-46ad-8f6b-efff0b9f50a8",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import Thermobar as pt\n",
    "pd.options.display.max_columns = None"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e2e69e4-c3af-4d60-9716-414ac8a873a1",
   "metadata": {},
   "source": [
    "## Loading plagioclase- liquid pairs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0b9b7f53-a063-4237-96b7-9622668d0cc5",
   "metadata": {},
   "outputs": [],
   "source": [
    "out_PL=pt.import_excel('Feldspar_Liquid.xlsx', sheet_name=\"Plag_Liquid\")\n",
    "# This extracts a dataframe of all inputs\n",
    "my_input_PL=out_PL['my_input']\n",
    "# This extracts a dataframe of plag compositions from the dictionary \"out\"\n",
    "Plags=out_PL['Plags']\n",
    "Liqs_PL=out_PL['Liqs']"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c1f254e3-0a46-45aa-802e-7a7e3eb95e1f",
   "metadata": {},
   "source": [
    "## Lets check these inputs look good (e.g. not just a load of zeros)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a24778b9-02a6-46d6-9a2d-f61913e85e6f",
   "metadata": {},
   "outputs": [
    {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SiO2_Plag</th>\n",
       "      <th>TiO2_Plag</th>\n",
       "      <th>Al2O3_Plag</th>\n",
       "      <th>FeOt_Plag</th>\n",
       "      <th>MnO_Plag</th>\n",
       "      <th>MgO_Plag</th>\n",
       "      <th>CaO_Plag</th>\n",
       "      <th>Na2O_Plag</th>\n",
       "      <th>K2O_Plag</th>\n",
       "      <th>Cr2O3_Plag</th>\n",
       "      <th>Sample_ID_Plag</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>57.3</td>\n",
       "      <td>0.09</td>\n",
       "      <td>26.6</td>\n",
       "      <td>0.43</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.03</td>\n",
       "      <td>8.33</td>\n",
       "      <td>6.11</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
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       "      <td>0.0</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8.95</td>\n",
       "      <td>5.66</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>57.6</td>\n",
       "      <td>0.11</td>\n",
       "      <td>26.3</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.07</td>\n",
       "      <td>8.50</td>\n",
       "      <td>6.27</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>57.2</td>\n",
       "      <td>0.16</td>\n",
       "      <td>27.0</td>\n",
       "      <td>0.62</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.06</td>\n",
       "      <td>9.03</td>\n",
       "      <td>5.58</td>\n",
       "      <td>0.84</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>56.7</td>\n",
       "      <td>0.14</td>\n",
       "      <td>27.6</td>\n",
       "      <td>0.69</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.11</td>\n",
       "      <td>9.46</td>\n",
       "      <td>5.58</td>\n",
       "      <td>0.48</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   SiO2_Plag  TiO2_Plag  Al2O3_Plag  FeOt_Plag  MnO_Plag  MgO_Plag  CaO_Plag  \\\n",
       "0       57.3       0.09        26.6       0.43       0.0      0.03      8.33   \n",
       "1       56.5       0.12        26.9       0.47       0.0      0.05      8.95   \n",
       "2       57.6       0.11        26.3       0.50       0.0      0.07      8.50   \n",
       "3       57.2       0.16        27.0       0.62       0.0      0.06      9.03   \n",
       "4       56.7       0.14        27.6       0.69       0.0      0.11      9.46   \n",
       "\n",
       "   Na2O_Plag  K2O_Plag  Cr2O3_Plag  Sample_ID_Plag  \n",
       "0       6.11      0.49         0.0               0  \n",
       "1       5.66      0.47         0.0               1  \n",
       "2       6.27      0.40         0.0               2  \n",
       "3       5.58      0.84         0.0               3  \n",
       "4       5.58      0.48         0.0               4  "
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SiO2_Liq</th>\n",
       "      <th>TiO2_Liq</th>\n",
       "      <th>Al2O3_Liq</th>\n",
       "      <th>FeOt_Liq</th>\n",
       "      <th>MnO_Liq</th>\n",
       "      <th>MgO_Liq</th>\n",
       "      <th>CaO_Liq</th>\n",
       "      <th>Na2O_Liq</th>\n",
       "      <th>K2O_Liq</th>\n",
       "      <th>Cr2O3_Liq</th>\n",
       "      <th>P2O5_Liq</th>\n",
       "      <th>H2O_Liq</th>\n",
       "      <th>Fe3Fet_Liq</th>\n",
       "      <th>NiO_Liq</th>\n",
       "      <th>CoO_Liq</th>\n",
       "      <th>CO2_Liq</th>\n",
       "      <th>Sample_ID_Liq</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>49.1</td>\n",
       "      <td>3.22</td>\n",
       "      <td>14.4</td>\n",
       "      <td>14.8</td>\n",
       "      <td>0.14</td>\n",
       "      <td>3.20</td>\n",
       "      <td>6.72</td>\n",
       "      <td>3.34</td>\n",
       "      <td>1.70</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.13</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
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       "      <th>1</th>\n",
       "      <td>49.2</td>\n",
       "      <td>3.89</td>\n",
       "      <td>15.3</td>\n",
       "      <td>13.7</td>\n",
       "      <td>0.12</td>\n",
       "      <td>3.88</td>\n",
       "      <td>6.76</td>\n",
       "      <td>3.44</td>\n",
       "      <td>1.22</td>\n",
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       "      <td>0.83</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
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       "      <td>0.0</td>\n",
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       "      <td>1</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>49.6</td>\n",
       "      <td>3.79</td>\n",
       "      <td>15.8</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.14</td>\n",
       "      <td>4.26</td>\n",
       "      <td>6.59</td>\n",
       "      <td>3.65</td>\n",
       "      <td>1.04</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.63</td>\n",
       "      <td>0.0</td>\n",
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       "      <td>2</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>47.1</td>\n",
       "      <td>4.21</td>\n",
       "      <td>12.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>0.18</td>\n",
       "      <td>3.40</td>\n",
       "      <td>7.28</td>\n",
       "      <td>2.93</td>\n",
       "      <td>2.02</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.32</td>\n",
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       "      <td>3</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>48.1</td>\n",
       "      <td>3.88</td>\n",
       "      <td>13.2</td>\n",
       "      <td>16.4</td>\n",
       "      <td>0.16</td>\n",
       "      <td>4.02</td>\n",
       "      <td>6.51</td>\n",
       "      <td>3.36</td>\n",
       "      <td>1.36</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.59</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
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       "</div>"
      ],
      "text/plain": [
       "   SiO2_Liq  TiO2_Liq  Al2O3_Liq  FeOt_Liq  MnO_Liq  MgO_Liq  CaO_Liq  \\\n",
       "0      49.1      3.22       14.4      14.8     0.14     3.20     6.72   \n",
       "1      49.2      3.89       15.3      13.7     0.12     3.88     6.76   \n",
       "2      49.6      3.79       15.8      13.0     0.14     4.26     6.59   \n",
       "3      47.1      4.21       12.0      17.8     0.18     3.40     7.28   \n",
       "4      48.1      3.88       13.2      16.4     0.16     4.02     6.51   \n",
       "\n",
       "   Na2O_Liq  K2O_Liq  Cr2O3_Liq  P2O5_Liq  H2O_Liq  Fe3Fet_Liq  NiO_Liq  \\\n",
       "0      3.34     1.70        0.0      1.13      0.0         0.0      0.0   \n",
       "1      3.44     1.22        0.0      0.83      0.0         0.0      0.0   \n",
       "2      3.65     1.04        0.0      0.63      0.0         0.0      0.0   \n",
       "3      2.93     2.02        0.0      2.32      0.0         0.0      0.0   \n",
       "4      3.36     1.36        0.0      1.59      0.0         0.0      0.0   \n",
       "\n",
       "   CoO_Liq  CO2_Liq  Sample_ID_Liq  \n",
       "0      0.0      0.0              0  \n",
       "1      0.0      0.0              1  \n",
       "2      0.0      0.0              2  \n",
       "3      0.0      0.0              3  \n",
       "4      0.0      0.0              4  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Plags.head())\n",
    "display(Liqs_PL.head())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "074fe575-b184-4905-8f75-e77d87ae3b86",
   "metadata": {},
   "source": [
    "## Loading Kspar-liquid pairs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0d652191-9ffc-41e0-91b8-07deab72749b",
   "metadata": {},
   "outputs": [
    {
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       "      <th></th>\n",
       "      <th>SiO2_Kspar</th>\n",
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       "      <th>Al2O3_Kspar</th>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>61.8</td>\n",
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       "      <td>0.03</td>\n",
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       "      <th>4</th>\n",
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      ],
      "text/plain": [
       "   SiO2_Kspar  TiO2_Kspar  Al2O3_Kspar  FeOt_Kspar  MnO_Kspar  MgO_Kspar  \\\n",
       "0        65.5         0.0         19.6        0.07        0.0       0.00   \n",
       "1        65.4         0.0         19.4        0.05        0.0       0.00   \n",
       "2        64.6         0.0         18.8        0.09        0.0       0.00   \n",
       "3        61.8         0.0         19.2        0.51        0.0       0.03   \n",
       "4        65.1         0.0         19.2        0.05        0.0       0.00   \n",
       "\n",
       "   CaO_Kspar  Na2O_Kspar  K2O_Kspar  Cr2O3_Kspar  Sample_ID_Kspar  \n",
       "0       0.75        4.81       9.36          0.0                0  \n",
       "1       0.59        3.13      11.50          0.0                1  \n",
       "2       0.39        1.15      14.80          0.0                2  \n",
       "3       0.66        1.71      12.90          0.0                3  \n",
       "4       0.36        2.87      12.60          0.0                4  "
      ]
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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>SiO2_Liq</th>\n",
       "      <th>TiO2_Liq</th>\n",
       "      <th>Al2O3_Liq</th>\n",
       "      <th>FeOt_Liq</th>\n",
       "      <th>MnO_Liq</th>\n",
       "      <th>MgO_Liq</th>\n",
       "      <th>CaO_Liq</th>\n",
       "      <th>Na2O_Liq</th>\n",
       "      <th>K2O_Liq</th>\n",
       "      <th>Cr2O3_Liq</th>\n",
       "      <th>P2O5_Liq</th>\n",
       "      <th>H2O_Liq</th>\n",
       "      <th>Fe3Fet_Liq</th>\n",
       "      <th>NiO_Liq</th>\n",
       "      <th>CoO_Liq</th>\n",
       "      <th>CO2_Liq</th>\n",
       "      <th>Sample_ID_Liq</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>61.71</td>\n",
       "      <td>0.45</td>\n",
       "      <td>18.56</td>\n",
       "      <td>3.17</td>\n",
       "      <td>0.27</td>\n",
       "      <td>0.23</td>\n",
       "      <td>1.64</td>\n",
       "      <td>6.11</td>\n",
       "      <td>7.09</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.02</td>\n",
       "      <td>2</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>61.71</td>\n",
       "      <td>0.45</td>\n",
       "      <td>18.56</td>\n",
       "      <td>3.17</td>\n",
       "      <td>0.27</td>\n",
       "      <td>0.23</td>\n",
       "      <td>1.64</td>\n",
       "      <td>6.11</td>\n",
       "      <td>7.09</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.02</td>\n",
       "      <td>3</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>62.71</td>\n",
       "      <td>0.45</td>\n",
       "      <td>18.56</td>\n",
       "      <td>3.17</td>\n",
       "      <td>0.27</td>\n",
       "      <td>0.23</td>\n",
       "      <td>1.64</td>\n",
       "      <td>6.11</td>\n",
       "      <td>6.09</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.02</td>\n",
       "      <td>5</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>62.71</td>\n",
       "      <td>0.45</td>\n",
       "      <td>18.56</td>\n",
       "      <td>3.17</td>\n",
       "      <td>0.27</td>\n",
       "      <td>0.23</td>\n",
       "      <td>1.64</td>\n",
       "      <td>6.11</td>\n",
       "      <td>6.09</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.02</td>\n",
       "      <td>5</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>62.71</td>\n",
       "      <td>0.45</td>\n",
       "      <td>18.56</td>\n",
       "      <td>3.17</td>\n",
       "      <td>0.27</td>\n",
       "      <td>0.23</td>\n",
       "      <td>1.64</td>\n",
       "      <td>6.11</td>\n",
       "      <td>6.09</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.02</td>\n",
       "      <td>5</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   SiO2_Liq  TiO2_Liq  Al2O3_Liq  FeOt_Liq  MnO_Liq  MgO_Liq  CaO_Liq  \\\n",
       "0     61.71      0.45      18.56      3.17     0.27     0.23     1.64   \n",
       "1     61.71      0.45      18.56      3.17     0.27     0.23     1.64   \n",
       "2     62.71      0.45      18.56      3.17     0.27     0.23     1.64   \n",
       "3     62.71      0.45      18.56      3.17     0.27     0.23     1.64   \n",
       "4     62.71      0.45      18.56      3.17     0.27     0.23     1.64   \n",
       "\n",
       "   Na2O_Liq  K2O_Liq  Cr2O3_Liq  P2O5_Liq  H2O_Liq  Fe3Fet_Liq  NiO_Liq  \\\n",
       "0      6.11     7.09        0.0      0.02        2         0.0      0.0   \n",
       "1      6.11     7.09        0.0      0.02        3         0.0      0.0   \n",
       "2      6.11     6.09        0.0      0.02        5         0.0      0.0   \n",
       "3      6.11     6.09        0.0      0.02        5         0.0      0.0   \n",
       "4      6.11     6.09        0.0      0.02        5         0.0      0.0   \n",
       "\n",
       "   CoO_Liq  CO2_Liq  Sample_ID_Liq  \n",
       "0      0.0      0.0              0  \n",
       "1      0.0      0.0              1  \n",
       "2      0.0      0.0              2  \n",
       "3      0.0      0.0              3  \n",
       "4      0.0      0.0              4  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "out_KL=pt.import_excel('Feldspar_Liquid.xlsx', sheet_name=\"Kspar_Liquid\")\n",
    "my_input_KL=out_KL['my_input']\n",
    "Kspars=out_KL['Kspars']\n",
    "Liqs_KL=out_KL['Liqs']\n",
    "# As before, we inspect the outputs\n",
    "display(Kspars.head())\n",
    "display(Liqs_KL.head())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "efa1a354-3101-4ab8-8ea9-744e08525197",
   "metadata": {},
   "source": [
    "## Example 1 - Plagioclase-Liquid thermomometry\n",
    "- to get more information, can always do help(pt.function)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c3c7003e-5b80-4e29-81ec-75c7dddcbdd8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function calculate_fspar_liq_temp in module Thermobar.feldspar:\n",
      "\n",
      "calculate_fspar_liq_temp(*, plag_comps=None, kspar_comps=None, meltmatch_plag=None, meltmatch_kspar=None, liq_comps=None, equationT=None, P=None, H2O_Liq=None, eq_tests=False)\n",
      "    Liquid-Feldspar thermometery (same function for Plag and Kspar),\n",
      "    returns temperature in Kelvin.\n",
      "    \n",
      "    Parameters\n",
      "    -------\n",
      "    \n",
      "    liq_comps: pandas.DataFrame\n",
      "        liquid compositions with column headings SiO2_Liq, MgO_Liq etc.\n",
      "    \n",
      "    kspar_comps or plag_comps (pandas.DataFrame)\n",
      "    \n",
      "        Specify kspar_comps=... for Kspar-Liquid thermometry (with column headings SiO2_Kspar, MgO_Kspar) etc\n",
      "    \n",
      "        Specify plag_comps=... for Plag-Liquid thermometry (with column headings SiO2_Plag, MgO_Plag) etc\n",
      "    \n",
      "    EquationT: str\n",
      "    \n",
      "        choose from:\n",
      "    \n",
      "            |   T_Put2008_eq24b (Kspar-Liq, P-dependent, H2O-independent\n",
      "            |   T_Put2008_eq23 (Plag-Liq, P-dependent, H2O-dependent)\n",
      "            |   T_Put2008_eq24a (Plag-Liq, P-dependent, H2O-dependent)\n",
      "    \n",
      "    P: float, int, pandas.Series, str  (\"Solve\")\n",
      "        Pressure in kbar to perform calculations at\n",
      "        Only needed for P-sensitive thermometers.\n",
      "        If enter P=\"Solve\", returns a partial function\n",
      "        Else, enter an integer, float, or panda series\n",
      "    \n",
      "    H2O_Liq: optional.\n",
      "        If None, uses H2O_Liq column from input.\n",
      "        If int, float, pandas.Series, uses this instead of H2O_Liq Column\n",
      "    \n",
      "    Returns\n",
      "    -------\n",
      "    \n",
      "        Temperature in Kelvin: pandas.Series\n",
      "            If eq_tests is False\n",
      "    \n",
      "        Temperature in Kelvin + eq Tests + input compositions: pandas.DataFrame\n",
      "            If eq_tests is True\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(pt.calculate_fspar_liq_temp)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39de2442-fafa-4f7c-9c45-c587acc0fdbf",
   "metadata": {},
   "source": [
    "### Temperature using equation 23 at 5 kbar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0da7afac-0959-4f50-aa8e-e41092ab542c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    1134.869018\n",
       "1    1150.684489\n",
       "2    1146.913528\n",
       "3    1113.581667\n",
       "4    1119.243338\n",
       "dtype: float64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T_PL_eq23_5kbar=pt.calculate_fspar_liq_temp(plag_comps=Plags, liq_comps=Liqs_PL, \n",
    "                                            equationT=\"T_Put2008_eq23\", P=5)-273.15\n",
    "T_PL_eq23_5kbar.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ed2873d-b313-4bf6-a047-e62cfc9160df",
   "metadata": {},
   "source": [
    "### Temperature using equation 24a at 5 kbar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f84b27cc-9f68-4a67-b474-6cec7db96fed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    1130.080284\n",
       "1    1147.341341\n",
       "2    1142.641914\n",
       "3    1115.989656\n",
       "4    1127.162158\n",
       "dtype: float64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T_PL_eq24a_5kbar=pt.calculate_fspar_liq_temp(plag_comps=Plags, liq_comps=Liqs_PL, \n",
    "                                            equationT=\"T_Put2008_eq24a\", P=5)-273.15\n",
    "T_PL_eq24a_5kbar.head()"
   ]
  },
  {
   "attachments": {
    "2b16dba9-abcb-4fa0-9a9f-4a1a73444fe0.png": {
     "image/png": 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j2CLWwStOLp7ulE+Lfj/U9Ut8G1fXgfysDXLzsEVe3jXPN2JIi6dVwB35wwY+m+Yftl5r67D51OFU1y8xrE/Ur+M3jffsDt38+2HWWjEOGEorOaE/Bjtbk8VJ59x0jJiloHtV2L7nwuLjdg+jSlC+PNpOYsu48isAZ4/uzaY4Ol8dE/02Z8ydzInYQMTeeNNzx9YZ2F2z8WwlYptrRsy2VubD3gsyRmLKU9ymdclijTw1x/R41I8+nJ9x5mNHX5UQTiEfyxWM0zVZm1n5pH16xxSx+YmSFNoipkqK2BiUemSTgmgpRazetOwC7y3S2ERl4ZMN7qSTHx5u/Z/VpmcXRIgpvSBLHPjBRqZ96A1R56CPbRyct8WzNdZt0hKr+miyEul1/W11SH5tuXn1YeMDXuInFneNuc0PfpvmH5ja1vqS63rO5LwOp7r+eefF5qixnKdW7QcxYv3F4ASfba34gtgR2zreyjUdN9ZO+9TCyM5rXZ6eHeYaPLRYIs+/+/qZY4Jc+vWbBXAfuOO8Lpem/jofyAXrUAwfdT3wi1olB9uHcz2PYifYiZjVuNv4YmdzxFg9Tvq6eFHE5idKUmiLmCopYmNQ6pFNCqKlFLF60W3adOy1mIUSi3bdpoPrOgfxqzeHumMvPvzVxcOGbq/rGPDr9dncYIu4TXXAxsaGjzrfkod9QqTHxB7bepCPzjkmljfOy93GQ55efxfzAv9odRwv55havbqkL8afZ1PnDznXtchVPwkEZroP47XYibXDWAgq/fS5ibN6nBZTiKv79JzIOJ2niDZ5Q/Xlvz0jPPhHfyjop5uID0xxjtjiR+erY8JGtzqu9Fu/yN3Gsfnrc/jQ95Ptw7n1i9ohoCUnzDn8YSzOUY/OAX1dtBSx+YmSFNoipkqK2BiUemSTgmiFiL3vD8JghtfGdb9XPsG56ZSx8Vt3vKL4qK5YFId+bd/ml15Sfsw3HLv/tF8ebRbFE7x/PGfMp81Pxo8EmJM7rusNCMfF04qbTgk6B31sY8k5/OmatJ2tD9e8/rpYXj/iInfd6jqasED+Rx75veGQmatpcUddepzkhFzkulez1wdfaGNqFVsPp7r+urhef51f5IdW23l+vD6M1a32g35vrO2TcTLfmgs41vMAn3Ut/BTCbOuC0f22ffcrw969PxH27fvJUR98rB34zfJrAf94Toi1k7HCFxtH1g/J24uDeBiL+tCunv24sdwsll6eMhY5AFP4sec6Po69GnANLTDFOmHXSMTBdYyz/boee03G2D6cox74lfh2PYUtckDOwFa30/AJMdtaitj8REkKbRFTJUVsDEo9sklBtFxELBY+2XywiNrFFzbSYuHFQqyv4bon2rSd3ij0sbbBcVs8uzFgnNdfF8vr9/rgG21bbmLX5icWd9QDMeD5ho2eG68P+aNty7HNzhtfF9fr98Yjpm61nefH69Pjcaz9oM8ba/u8cRgf24oPEcJ6HjG2SZxqIRdrh/ytwJJ4Wmwivm11TLkm51ZcWUysX/AbnLQ5oRYPD+Rj80C/bbWdHGuRjrjIA2Ntv67HXpMxtg/nFuNYEdu2ViLPLlqK2PxESQptEVMlRWwMSj2ySUG03EQsFklssnaxx/W6RTv2utjpjUIfw4du2+JhE7SbiOfX67P5IHZbXLGLsamLiThoxa7pqa5cP+qo7w+3qifl1jfy0XPn9SEmWthYDHEdrY3X1N/FvMA/Wh0fOU9bq/jSfuA7xh9s2nCCT9vGPAG1IlB8eFjG2DXl6423+WpRqPPQQtZiaf1KDk984kPD4eETZy8n4KLnUudi89DX9LH4kdwOXvGUsU+bdO527mz++hy56rxsH86t3xgRWzdW19TlMUVsfqIkhbaIqZIiNgalHtmkIFopYl8dBvdN/8JifeimU8fGb91x4fDrBE8d9du+zS+dMVzgTw1yfMwxPxoOb71iZF/nW+e5duDE4ROZKr6MKxfyVwe5Lk9116+s8ti++1XhhBMeFiRnm0P5NKLypWPJcVs8m7PEKj+WfeioLvGj4+oYdf1tdcTkBvyBDfKYFnf4AaaosRQUJXbWRmJ5fbp2HMfUWodTXf+884Lc0Oo4Xl1eH8bqFnZ6TtAHfMXe64vBScfCsTcO13SLmDo3GavnWexj7by4gqO8YdIxdA44rsRjtT6Ad+WnNedO3FMSD9fgR7de3nJdYsmaYXNCvPJJbZWH9olj2Iofzz6Gj5pj8LdvX7WOIE/wpK4eiWVxgC3GSt7e/EhcrJWorYuWIjY/UZJCW8RUSREbg1KPbFIQrRSxfxgG903/2rjuuWpTq8Zv3fHKoYj9rZFf27f5pZeOROz23X9QiD18jUDaarOs/Ho5Sg56nByvX1nFlTj2+4PlxnJh0DnoYy8O+tri2evlxjNeQ12sun6JLdfq6pglN8lrVtx1jeUTp6eO5lJysXNd14e8bdtWax1Odf3iX+csHJlmXrz88IZn3lp1XpLTNP7acLJ5e/Ot751K7JR8RS6wqbsnY+10rfCp71WbL873n/booRi8cLSeyDXE9Tg4LmLH7z89dvXsY8d86mvIEa1nixxtW4nCai3SNhYLy0fLZTvXB9765LE1FljYHCVO3bxa7G0MqRtrpc593mOK2PxESQptEVMlRWwMSj2ySUG0eUTsvIsZx09ursSEmJAD5ECfOUARm58oSaEtYqqkiI1BqUc2KYhGEcsNs88bJmsjv8mBvDhAEZufKEmhLWKqpIiNQalHNimIVorY14TBfXwRA3KAHCAHyIG0HKCIzU+UpNAWMVVSxMag1CObFESjiE27YHNDJL7kADlADlQcoIjNT5Sk0BYxVVLExqDUI5sURCtF7GvD4D6+iAE5QA6QA+RAWg5QxOYnSlJoi5gqKWJjUOqRTQqiUcSmXbC5IRJfcoAcIAcqDlDE5idKUmiLmCopYmNQ6pFNCqKVIvZ1YXAfX8SAHCAHyAFyIC0HKGLzEyUptEVMlRSxMSj1yCYF0eYRsZtfOiscccT/Ffbt+6mpRfDWHa8ORx99RFi/8mlTj+3DJrP/tMcMf4ghTf07Dd+dlm8fOJhzDfOsLdPWBe6tnv2rvVuLUq8z02It9hSx+YmSFNoipkqK2BiUemSTgmiliL0oDO6b7rV992vD3r0/ORSwk2M3v7RaCFz8oXBpyz+W/vwiFjaOUsROjp82n1zsvbrLPzb+8gmMZYOpuzZvPTsN352W77zzw/H193zb2tI1duDe6tn/aeIe7TrWMvylXGdmqYciNj9RkkJbxFRJERuDUo9sUhBtVhG7duDkWgEm10S0WoGq+7FxWJtZFsWYMSIujzzyX4RDN5UiOmbMLDZSo90MZRPRAh5+gYG1x/V5WvheFL7T5OrNRep8vZjT5LyTbXda7U1rS4p5APdS3Icp8p3WZ271UcTmJ0pSaIuYKiliY1DqkU0Kos0iYvGkxFv0N6471RWwWHhlQ73qA88IWFgXJbKWuZGjVg8v2bD3POKB4fDWH3T6FAgxF4Uv5jem9eYidb5ezJhc+2Czk2pvWltSzQW4592fqWIu2m+qdWaWOihi8xMlKbRFTJUUsTEo9cgmBdFKEXtxGNwX/9r80tnqqWY1bvvu14W9ex86FGWvbvS5dccfFt+JPfDWpxQtvnZQbiSVT1l8cW38KwmlDfy8/bLfKmLDthSGZQ6wwTVpy+/xlj42rnveWAw9VnBBvQeveFrxFYnqqWqVZxN+iG9r077LJ8S+P8TXNtXTqgsKnIE9YiBmG76Swzz1t421uCAvOxfo7yLf2Jiwa6oBeZ3x0mPH+AUO2LHrV/72iPcY28TNmBzEBhywHIy9P+rw9vLVfXVxJSdbu71vUL+ObW1QP1rE01zHtdhaYzi0/7T/OHbPS464dxDPa9tqRv52nur6JYb1qdcm5FA3PhZjjPdwRYxFtRSx+YmSFNoipkqK2BiUemSTgmiziFhZdMvvcpYCCosfFtSYzQC22o/4hTiAT9m49KZqxRv86HEQdHrDrFvErT+JKxucHSv/gU33Ib+YVmLo/PQY5K9r1NflGDbAFfXJxotxsLHnMfhqG4kXW38MdrYWOffmAvnrXOr4oG28fGNjil1bDcjLzh9EkOaEzdcbi7nT49pyAGYeB2Us5ryunia89Vjkq/tkbF3cpnmAL3BWcpPaTzrpZ8Kt/zi+bsg1vOrWFtSmc7O4IabOy84J/GgbjNO5Ih/d2nhyLfZeqcPR5gd+WCHrjffyrsMYtho/Xdsijyli8xMlKbRFTJUrEpgvYjAPB0oR+/owuC/+tXbgKWHPI44Kh7fkN7mrcVt3vKZ4qrp69q+N9WsbHMN2/cqnj2w3v3ROsWHqPtijFZvyu60vKMZ5fsR247r9Q+FY2tlxYlM31trac+QS08rY8i84PGxUpx63ffdFxRO+Nsxks9y3r/QhPo866ohw8sk/O+qTesuN+RW1uCAX4DtP/bFjda049vD0/M2aL+LoNjamjNG2yMvOj8Ub42Su2/DV3IR/jEHOOgf41ryHnW3tuLqxXlyvz/Pn2dk4Mk5jYfOsO69bWzx7m5uXl83Ds0GfnWMdEzazzpPNVXzX3fuebV1fLMZ1sXSNizrWInaevYtjd7724ZPYGKnfIxu5abv+l5OIrdso8NQLH0uWT8WaRazdvJo2AfjVrY7hjY1Z8JGDJ/gxPnZz0Zu7HIug1UJKXxffHpa2D/npunHcVn/sWNSpWw9Pm5tXQ9cxY/whLytwNPaoDbYQOvYcdogrdjgG7rptmwP4a7o/xEZiWAHs5eb1eWNjc9Z56TdYyNtrLY+tjfYpWGmMvPxtn1cPbOwc69ixNXv+xY/Xj7jgC+J5/d54sdd4NGEcu84gh5StFrFd72f0NxsCKbRFTCYUsTEo9cgmBdFKEfuGMLgv/rV24KnDJ7Hye9jVuO27Lx5+J1ae0o5f03ZyvHXHa4d/J1aexJY+bB/OSxFY+tv80rnDDfn0Yhxsyo2gykXsqqcUbwh2nMT0+pCLbmPt7BiJr3PX13EMzMoNtMof19Eih+tveH444YSHh0M3nT6G4f7THhu0Dw8X2wef4gtxvNaz8/q8sV6fN9bmJuNsnzfO8+/1eWO9PjsWOWhsxaYSsReOsIMtuGjP4VvigpsxOcg4zw7+Ncc8O68PY5GrxPD6vLFeH2rzWlkvIM5LoVVhZu3r1hbk1lQrbJpq8nLHODvHOjdvnL6O4zo7rx9xdb7ix+v3xiOmtG0Yx64z2meqY4rY/ERJCm0RUyVFbAxKPbJJQbRZRKy3gWPBk2uyYdmFGddlMb7qA89yF2q7eIutfGx+6z9Wm55dzO0YxLE52nFih7FNm5fYeWMRx2uBQfnxf70w1TnU4QX/2ITOe9necMwxDxm9SRDxeuyxPx4e/KM/XAhb2KM27df24XyW+mPHIh/denjCXxf56lg4borZVD/ysjaWXxIHtqjBniMXPRY21j9s0Xr5S1/b/SHjvbGIi1zFzutrGtuWM3JHK74g3tFnW42NvhZTq5e/7fNygE1TPTE2kq+HV10/7mkb1/Ph9Wl8cOzVJ9eQv55vjFl0SxGbnyhJoS1iqqSIjUGpRzYpiDaLiG1bUEVYeUIWTwtkIfUWVdtnz7Holx8h1j+JxUKuNwf40n2yeOucsJhLHDztlL62ejGuzp++bo+n8Q1cdQ2o1T7hQr160/L65qk/ZqytV86Rh64DfV3kGxtT7NpqQF46VxnniS3YogZ7LuMwX9pfWw4YV34loHpqbv1794eMhZ2OCVv9Rgv8Qv51caW/LWepU7/ZkjGCmb53pc++6u4H1IDckL/2Z23Et9cndeonuqhF42PzknPYIQfpi10r6uqymKAuPS8Sxxs/DcbeeK/GRfRRxOYnSlJoi5gqKWJjUOqRTQqilSL2jWFwX/xr++7Xh717fyqsnv3rteM2v3Re8dQFHyNKW244LyzGbN3xuuHXCf7LyIfXt3HdaaOPImX8wVmVJDIAACAASURBVCuePvw6wbgfHUeOvdy0r3KTKGv2ci03udcWucn1UkCUMeuwAi42F5yXQvOVo3rFj2yMOladb+mX/DWG0oeYuh7p97D0+sR2nvrbxop/72XnwsvN64vJ14snfTYm7JpqQA6WT+LLzids168sOY1zzD9a6yumpjoO6pq8+wM1ajtwxdZ94K2/NXFP1sVtyxm8RM3SWu4iN91inIeRrsGrFXgDf/Hb1IfcTn/hrwz/Q2r9eoYcLWbiQ9+/dXjV9YtfXZf4w/wgprTeeGCFOqStw3iadUbHTXFMEZufKEmhLWKqpIiNQalHNimIVorYN4XBfdO91g781nATf9XUY6eN1WS/dcdF4eijfyCsX/k7S82jKce6a8i93LCnw7/OJ/vzwRHzuxO5uUwe5bK2LBODLmODh7msMxSx+YmSFNoipkqK2BiUemSTgmizitjtu99QPI3dt++nlyoesUDvRKGw/7Rjsngj0OWGSV+ViN7J3FzmPOaytiwTgy5j57bOUMTmJ0pSaIuYKiliY1DqkU0KopUi9o/C4L7pX5tfOr/4ykApZKcfP0tMO2brjovVk9jl5GBzijmXjUU+/ivF987JO6Y22pTzuVO5mcP85bC25IDDvDnkuM5QxOYnSlJoi5gqKWJjUOqRTQqiFSL23j8KA76IATlADpAD5EBiDlDE5idKUmiLmCopYmNQ6pFNCqKVIvbNYXAvX8SAHCAHyAFyIC0HKGLzEyUptEVMlRSxMSj1yCYF0UoR+5YwuJcvYkAOkAPkADmQlgMUsfmJkhTaIqZKitgYlHpkk4JoFLFpF2xuiMSXHCAHyIGKAxSx+YmSFNoipkqK2BiUemSTgmiliL0kDO7la1oMtm5/Y/mfyq743c7xg+/Vs/cm872eIO9pMczBfvuuN4e9ex82+nvExIVrQQ687GsOFLH5iZIU2iKmSorYGJR6ZJOCaLtVxG5c98LyrwPMIeQgNFOIHvieRsRijP7j5/b4/vf/nvDlr1yYTHzvxI13/2m/EvbsOTocvu0Nnb9h2Il4eDl3cb94fvvWF3sP3vqNP5yLa5ubF5Q/OVzjx+Zxv/v97+HQTWeMxRQf8jPAdo2Qc3s/xPiLnUuK2PxESQptEVMlRWwMSj2ySUG0UsReGgb37u7X5uYrhr/KJQt9HBZbt79pKAafET1mWt+rZz9+Zt8b170oVJtXVVPKvGPry8Vu+663hL17fzqsX9H9HOZSY1/zmOWenQeLWeLV3YPz5AHOyhvSW7/xmon1Afe3XjvW1n57Yi2QekTEtnE/1l9sTRSx+YmSFNoipkqK2BiUemSTgmiliF0Lg3t392tz88Jw5JHfFw7d9NJoLLZu/6OhiH1m9JhYnOG73Ihmm5uN61483LjGa4Lv9Su6zzu2vlzsiMVs3Mph/ma5Z+fJe5Z4dfdgWx77T3vc8JOi8XsU/fK0tBSxr51Ye0Swlk9S3zS6tn3XJcWbNb2eSD2liB2PYXOL9WfH1Z1TxOYnSlJoi5gqKWJjUOqRTQqizSJiZVHTH0GVT/vGhRIW/IPrzygWSm0jC7sebxdcb/GD2PDGIZYWoJKjXuTtIq7HeL737dsz2gBsvpKDCECMO3Dg6YWYRW56o0At1odXs96gmnzBZ1tbt4F2mTdw7GqeF8ktcAJYS6vnpWnOUPc0nGuar6ZYuKY5Kb6Alebi2//4dwqxgpp0PYgPf3U2qE3PqRzjTR74c8ZLjxuLhXvc+vfeLFkbnSf8N91XsEEN0gIf75r2Dxx0CyzhD7XAxvOJeLDxWqnT+vLspE/zMSZfvb7BJ3x4ucn6ov3KPLeJ2Gn8IYe2liI2P1GSQlvEVEkRG4NSj2xSEK0UsQfC4N7419ra0wsRhzFyXi6orxv52dx8ZbFA7tnzr8Ph2+THFEr/nu3+044N1g720m7d/uZCJK6e/YSRn+27Lg0nnfRz4dZvvG7iulyTj4hlQyo30MoHziW/clM+s/BpzxFf8tV+pF82JskFeenaq02r9Cv2MTVbG/jWNSOn2NbLRcbCdxd5dznPwApzhHOdp/R1GRNY6Jh1cTVPMQ7zE8M58eu97NyLjY4l5zKXmofAAHkjn1IwldxDTvreiokF33qc9OF+8WIhZ8lRj/M42JYD/Ot59/zonIArxmJepF+vFbCzreQELOWal6MXz/qx517e1gY5C3al+PR5osd5+cl1zLnnx47BPEtc/dI4TONP59d0TBGbnyhJoS1iqqSIjUGpRzYpiDaLiLULlLe4e31YrPUiKb48Wx0Di60dp21k08fCLfZHHfUD4eSTf37UJ5uJ3hRtTHsuvpGv3hB1TFzXedlcPRvxoeN5Nuiri63zqDuu20Dhe968bR3Iw/NfZ4sxda3GCTZe36wxvXFen5f/tJxD/rqNjSVjRISISL3m2hdNvKmr86M5UGdj8bTntnb4sdy09xjGVU/7qntKcw92ViRrG8lJ+7Fj5Bx91g7XpmnbMIj1pfG3Y1CTCEiLpbW151aQ4vq8olP8Sj7Afl5/yEu3FLH5iZIU2iKmSorYGJR6ZJOCaKWIfWsY3DvdSzZw/e69fAJ01sjP5uarhk9uxvtkg9HjcGzH23x0vFKMXjSKJbZra/9l+ATozcWxCNqN614yFK4XjV0Xe5ufPYdNuSE+aywWctu6/S3D78RW122f+G2r2YsNP+XmNt3cID+p38MVvtevmC9vYFSKj27mWXzquRZ+2Bo8vGJwBi669bCI9TUt53RcHMfGgj2wKd+wVbzw6pAx8C9zjWPcc7rVGIudN6foQyzLTX2/IV/YgmsxOdgx4svr8/IUW2Ak9XlrBXKzrR4Xyzvrw57X3YNip7GwWFo/9ly459W2fdda8SmU5YeMrxtjfQsO5dP0N4cu/Fn/FLH5iZIU2iKmSorYGJR6ZJOCaKWIfVsY3Bv32rr9knD00T84XOTkD1i/LWxu/sFw01sd+Ynti40LO1mIsfmWi/jFYzlcf8NLwwkn/Gw4dNNqQK6yge4/7VfD6tn7avOry/eII+4fyg14Eh/tH/nZPs8vbNF6NvCjc4Z9bLtx3RlDAVjNi4yFb12X7fNy8uJ6dl6fN9b2IYdyA10MtxBTYxGbP+xiOWfrlXP4EL56122f8Fj4v2/fI8bsvTrgHxyOjeXZ6T7EstwUvul7UuLDFvhqP7Y2nNsxnh/pa/NVt1YgDlrEm4V38FHX1t2D2h7xvXnVdvq4EqTl+odr23cdCHv3PnyCH3JduKNrxBjbarsu/Fn/FLH5iZIU2iKmSorYGJR6ZJOCaNOKWNk45KP6W79RLZ7eZuL1YbG2m59d5GLOxT82Z7HHYnveeU8KxxzzE+HwbaUIkgX52GMfGh78ow8ohC182/zsudi15Yvr2KD1GPTBpqlmW4v20zQOtdS1dRsockKOOh76YNMWfxbc6vIVX4vmFupE3RqLttqn5ZxXN+K3xZKxEC43Hjqr4L4eAz+6DhmjhSVs9DgvJ29OdV+dHx0LfmGLvHDelANsMEZ8eX06J8TzWrHTa4W1keuz8s76sud196C1k3PwScRsm9gEF/Q6DJ/eNfhuwl3noN8kzeMPOemWIjY/UZJCW8RUSREbg1KPbFIQrRSxbw+De+NeW7dfWjyJXb/i2cWY7bveWrzzLz+OlKdJpZ/xDabyvbb2O8WTJIwXe/GBp6cYr1vxVQpT+SWh0tfGdS9VTxnLPjylKhfqKg/ZwMonRK8fjbf5oS49VmJJvrY2iS12GKNr8fpiaq6efpQ1YozOR+LKBqfjAQ+v9TASOy9Hrw856Hh2riyOyCNmLGzR2hwWwS0bE7nE5j8N5+DbtjGx7FxaLnh1yNwI9zWHYmJ5c6r7EEv7lZokJ3ufwVZzqC0Hb0xTn85D8oxZK/QcWN91vIOdjqf9eMd23jwbrw+80rhpO8HQYo3rXp5ib9cxiWFrkT5rF+sP8dtaitj8REkKbRFTJUVsDEo9sklBtGlFrCxQ2EBFUMmCd3D92errBJV4LL9DVwlbLG7YXGU8XuWTh0qkwlZabCqwRdzyI9gyHvKyCzDGlk8WKlu9KSOWrkvb637kIJsLFne90Xh94r+tZoyD/9Nf+OvFmwW9ySAPHQ+5e63YWzzEDrG0H68vJm8PR+TSVjPsdIsaMcepuVVXd0ztYuNhXMc5Xac9bsIKmGguyHgtdFAH+IPWjpFxTbFw3d67ep4Ry/qWPK2wgq3mGmKIwEae0mIN8MZ4feIH2Mh4uWeBvfbr3QMyVr+0n7o1zYunfXjH4jcmvjfW68Oc6/rk2OILvGDn5aBrhp2dP+QQ4w+2bS1FbH6iJIW2iKmSIjYGpR7ZpCBaKWL/OAzu5YsYkAM7lQNbt68NPyF5Du9lrmVZc4AiNj9RkkJbxFRJERuDUo9sUhCtFLGXhcG9fBEDcmCncmDr9gNKxHIed+o87oa8KWLzEyUptEVMlRSxMSj1yCYF0ShiueHvho2z7zVSxPI+3ikcp4jNT5Sk0BYxVVLExqDUI5sURCtF7OVhcC9fxIAcIAfIAXIgLQcoYvMTJSm0RUyVFLExKPXIJgXRChE7uDwM+CIG5AA5QA6QA4k5QBGbnyhJoS1iqqSIjUGpRzYpiFaK2INhMOCLGJAD5AA5QA6k5QBFbH6iJIW2iKmSIjYGpR7ZpCBaKWLXw2DAFzEgB8gBcoAcSMsBitj8REkKbRFTJUVsDEo9sklBtFxE7P79vxb27fuZpYvpra23l//Le/25S8+laTPd3r4s7N37iNHf2VzPPF+vllmwzoUnXj2p+zY3X1f+PeZD52XNzXlwmIUT88Tj2LSC1cOXIjY/UZJCW8RUuSKB+SIG83CgFLFXhMFg+tfm5kXFLwLhD2VLW/xR7UMvm9rf/v2/Hvbt+9mpx82Sd9OYra0/HorY3196Lk15Cl579vybcPjw27POs6mGGKw3Ns4uf6VsvZyPNp5Y+6b4Ka6ljC/325FHfn84NMP9laLWFD5jOJEiLn1Ov/7PipkWsfPsXRy787UPn8TGSP0e2chN2/W/WUXs2tozx8QFFrS6flyva9vESd042z/NRu/Z7oRNdHv78uIp7PpQ2FkMdsr5LFhPyxNvjheJT5fxu/S1SAymiTULJ6bxT9vFidU6rLWI7Xo/o7/ZEEihLWIyoYiNQalHNimIVorYK8NgEP/a2DhnKGBPccdtbl4crrrqhe61ujiVOInPw/MlscunVee3xvdst7YuC0cf/UNhfd2vzYu56L6dkGMMJrPUMS1PvDmOya0rmy7jd+mrq/q69jMLJ7rOgf7mW4Pb8KOIzU+UpNAWMVVSxMag1CObFEQrRew7wmAQ99reXi+eAu7Z82/D4cN/HD2uzf/+/ccVXyeQFl9PKH7H+9ZLihhbW5crcVnmavtwjvHSll9RmKytzhb9Bw48q4gHX6urJ0zUurFx7ijXuljwBz/SWuysH3tdYwf86/w1+apE0MtHtaytPav8vfshzvDv1avzkOOmWLhm8Zd4kru8SQA2TVjbnNt4ou3hX2Nl87E1IT9vDPyVb3B8Dk4THxghVtO8S57aN/K2Pmx93phlznld3tNwQnzYeSq/xlTxGnPVxK26XB7ykH81fCNc+bM4t80VfLOdXHspYvMTJSm0RUyVFLExKPXIJgXRphWx2BxiRM40CzjEKwQCxBQ2C8TFdfHt9Xmbdl0eni18agEtG5jdJG0f8tUiAr40VmJ30kmPDLcORaMVFJKrYIG6vdzhV2Mhdm2+MA75IGcICPEBG+vb5tEWS+yx8cOX4H3EEfcfPuWuYjVhbeeojSfW3p7bOvR5XU2YUw8b22fj2XPEq4vVNO/W1ywcXPacS/1Su+ac9Ektwkvg2cQJ+ACvcK7HTOOn7d6eZa4kJ758DChi8xMlKbRFTJUUsTEo9cgmBdFKEfvOMBjEvba2DhZPKFdXfyN6TIzv8gnbvx/zqTdpxF1fP3Vk4/Vtbr5ePUVprsmzrfNZiq8y9vb2FWHv3p8JFgPrT871OIuDF0tsrJ+YcbG+NM4S56ijfjCcfPIvhn37SuwF81IMXDrCOSZ+Xd4iAEQkXHPNORO88XK2mFksdP7IS/PE2ttzjLGtl4vY6Hieje2z8ey5+LRjkItni2vS6uuxHJRxugbxkcOc23sHdXrYSM5N95HFRs5j/MDG5qL5BBu97njxkD/b5jVX8KGIzU+UpNAWMVVSxMag1CObFETLWcTqzcvbTLw+vdG3bSierefT9tlzxPH6RUDg42IrDlEfruu2ejo0uSl4cWJ9iagsn/ZdVjwRE/Gqhau+jrpsGxsL44ABhDL6vTpsn50jLcjgB/mI0LD29hxjbFtnp+PZ3MSH7bN+7LmMkT4RZXq+cdw079qXjYt6vH49p3K8zDlH7VYUNuXv1ST24JWHnTfG9mk8EV9aLWKRL2LotmmutD8ej69hFLH5iZIU2iKmSorYGJR6ZJOCaKWI/a9hMIh7bW9fWTyFLIWQ/Fxt3Lg2u/379w6fBlb+NjffMHwC87ywtbU+/E7s80YxvT4ZU/7HrgtGdnWxPVvPp+2z5/Bf1y/X19aePRItpZhdC158+GpqvTixvmB3/fXnhxNO+IVw6NAFY9jKPJRPpqp5sLnAh4y117xz8SmbfyliK79eHbbPxmrjibW3515+0ldnp+PZ3GSc7bN+7HlTrLrc0K992biw8foxLoc5l1zKp6rVfYzcpfXyt30412sQagQnYbO+XsWxfXYM8tjYOG/49aELankBW7bV/RyLBUVsfqIkhbaIqZIiNgalHtmkIFopYt8VBoP418bGywpRUm4Qk+M2N98YrrrqxVP5rMRC5U/ilILvQNjaukKJ2NLG65PYpYh9RWt8z9bzafu2t98x/DrBb47F8PxZXMUGmzj8rq6O+7Fj7DnGafzR1+YLuZ933pPDMcf8VDh8WH5i8l1B8D/22J8OD37wvwyHDjVjFxtL/K6tPaeYwxtvvKCoW+cHP14d6LOYtvHE2ttziyXO9bygT1odb5Z8vfjwo7HQMeuOtS/Mo/WhbeAHtjnNuc0buQIbzL/02z6pUb4SceutB0b3n63bjqnzg3sR8aWVdad8yvqKUey6fPU4HldrdxMWFLH5iZIU2iKmSorYGJR6ZJOCaKWIfXcYDKZ7yeYuT9fW1/ePjRXRovu3t98Z9u792aEYfeuYrY5ZioWfG13f2rpy+B1KEXjvDvCzb19l4+Vgx+kY9tizRZ+uy+vb2Dh/uNFdWJvf5uabwjHHPCwcPiy/ilPia8dZvFBr+ZS09I2xaL185FqsL+BWbsxlXpKrbOjlm4b6eUIOMbFsrXKuueHVYfskr/JNSYlFG0+sPfzpWlGDbcX3nj0PGs0XMAHnYjgYGz8GP5uf9W3x9fKDj1zmXPKR2kuRWPFbapE5wnw13X/WBnVrn9ZG4np9ds49X7PMFXBnO7mvUMTmJ0pSaIuYKiliY1DqkU0KopUi9k/CYDD9a3PzjwrhI8IEr3IjeeXI39bWO4Zi9MRRnxdr//7Hj3zA1+rq+Bgb78CB5w6fzp425ntj4+UjX6UAqa/N2iLf9fXKp9cnNeixkrONtb39XwsBj3qktfiIH1uX2JViSv4w+WTudfnE+pK8bR7I1dbgxUdfU97Axs4h5lnw9eqwfRKjFLElpzBeY6pjWHvJFbnImKb6gAF8yxw84xmPGxtja7YcnCa+9dU2722+m+rLZc7BHT0nwDuWE3ZOhcsHD+4f44nlkYzx+uyci69XveppE/fHtHOFOtlOrl8UsfmJkhTaIqZKitgYlHpkk4Jo84jYmAXa2zxjxtFmcvEnJovHRERzk/DlnCx+TlJjLmtW+YnE29w3kanj990/RWx+oiSFtoipkiI2BqUe2aQgWili3xMGgzSvtbXnDkVAGv+p8qZfzpdwoBKxxGM33BPb2+8qPj0p37hwzlPMOUVsfqIkhbaIqZIiNgalHtmkIFohYu95bxgkeG3f+e6w97h/H9bXn5/Ef4qc6TMNF3Yqrvv3PyHse8LPk78J1occOLFx7QWjrx7haw2rq0/mfCecb4rY/ERJCm0RUyVFbAxKPbJJQbSUIjaHTYo5UJSSA+QAOZAPByhi8xMlKbRFTJUUsTEo9cgmBdFKEfu+MLiHL2JADpAD5AA5kJYDFLH5iZIU2iKmSorYGJR6ZJOCaBSxaRdsbojElxwgB8iBigMUsfmJkhTaIqZKitgYlHpkk4JopYi9Kgzu4YsYkAPkADlADqTlAEVsfqIkhbaIqZIiNgalHtmkIFopYt8fBvfk+dq+873Ffw7Df7pYXz89eH255s+80vJq67Z3h6OP+uGwunpSFhxGPsLTFHO/f/++sO8JvzCX780vXhqOPPKIcOjGPwyp8xUMeL+mvQdm5Znmwaw+ZhlHEZufKEmhLWKqXJHAfBGDeTiQu4iVTXvPnv8nHP7Ou0Ybt+3buPbC4n8YxwiHaWxnWaA5ZrEbNkQYRWw87lq8AL+Ye2dWbtv7dVY/OYzr0/qhebBIbLWInWfv4tidr334JDZG6vfIRm7arv+VIvYDYXBPfq/tO98X9h73c2F9/YWj/Ly+HHLf/OLa6OlWDvnslhy2bvuT4ZPYk0cc8WpPMT+eT+SjOevlM2vf/v1PHD6Jnf1+1XmnzjfX+3VW/HMcp+dzmvxmHTdNDM9Wi9iu9zP6mw2BFNoiJhOK2BiUemSTgmg5i1hvg/X6vIVy0X3L2hAWXWdu8cCH1VWK2Ni50VwFfqlEd2r/sTX32U7P5zR1zjpumhieLUVsfqIkhbaIqZIiNgalHtmkIFopYj8YBvdM99q49lUTfyS83AhLP/Z6+T2+yRjWrvzqwJ+E7TuvKp7C4ruw0j70of8mPPrRPzUWV+w/8+k3Dp+CvmZUh/Ur4yW/zS8eaLVFDoLJ1m3vKZ70HVh7XtEin1I0lfXABtekRb3eNe1/GtzraoIPex054DpyOeOME8ewld+LP3Tja4Idr+cTY9/+9uePjbW1rF166tj8wDdykBZzcPDgC8MRR/zz8nfqbyznzuZg/ct4eRqpsZZjPR86lhwjdz1GY2Nj6mvWF87rfKK/iS/wYeN6tcIWLZ7Eagzuf///M9z6D+sF9xHfmzv0AX+Zc89e33sYg/i2tTVo7LQfYN9Wo/Wn7XFNx5B8wDnJFfW08VTGwV9dbsBJ81SOy+8TV9jNcj8Bx6YcUEsTl2CDGqQFPsAF1+y9iPqEB8hnES1FbH6iJIW2iKmSIjYGpR7ZpCDaLCIWi6Pe4GQxhpCQY71gYjPD4oqFUvzoDVj6ZXPGxoUFWsfx+uxi3JSfZxuTg7ax9Une1q/0IVfgIn2CxUlP/uWR6JC+mFdTTTLe5uRhjnz03MhYCCLg7vnzxiKGHid56vny5liwEvGqx0lMz1bzwbNBXhpjsbMvb37EJgY36wvnnk/k08aXmFoRR7eYK2Bs5wDxcV3G2j6dt72Gczs3Ogccx2AHfzofjLdtDCYSU0QZ/IFLOEc8zXGLkcSNiQXfGgsPOx1LfGOO9DiLVUwOqKWNSzonjanUCFy8eHXjtI8UxxSx+YmSFNoipkqK2BiUemSTgmiliP3TMLgn7rV123uH30F8ijtm+873F0/qVlfHr29+8a3DJxivLcbBz/r6i8b8aDvPxuvzxtj4qM+znTYH8SEiTI/TfnUsa4dr07Soua6maTG3fjau/YPhm4krRnNha0QOumapQcaWm3g5r7auOlzKp1nVmDr/erxngz5bU0wesbhZXzjXuaEP+WicYrH0/MEvWhFI5ZvB6n7Vc+DFt306jr6GY+sfsXUbix18ajy0HxzX2elcYbt26fMKzl3z0VdOrEV1ftowEt82lj23NohluTfP/aRjwr/GTq7bNUWPAUZea+3suTcmRR9FbH6iJIW2iKmSIjYGpR7ZpCBaKWI/FAb3xL02v/i24SL6YnfM1m3vKzaW9fXx67YffvBRl25LUfS6YMdIjl6f+CpF0esC/Nr4qM+z1bFxPE8OiCXt/v1PGn30XT5RudLFTY+xx201eZiID9uP83LTrea72nSr3GALHO05cvRy0zULnsBSj8F86T7ZnIG/bjFezx3GIS9bE66jbRqLGmELn7Yf19HG+rT+gJmuEceoFTFsK9jue8J/GOMQ/Em+NpaMt306b1w7sLa/uG+tbxsf5xhnMbL99hzjbYsagINuPUzAMZtvXTz4l3xxrGPgWMfSOCFf3YdYlnsx91NMDvCvMfb6dE7IEy1wiq0P41K2FLH5iZIU2iKmSorYGJR6ZJOCaMsUsVbI2IXTW7C9Pr2IY3PQC7/2a21T5KDj4VieHmEjmVbMttXkYSJxbT/OZ9l0MdbiqnODTfkxqvxW+4cKwWAx1nMAfLw+XEPr2SCmrQlj0DaNtTXBp+2HL7SxPq0/bxx8trWpRCy4qUVcUy62JtjafnsOO9tOiwnE2awi1nLS5iPnXk66D7VZ7sWK2LYc4F/z0OvTOaEO2DXdi944jE/ZUsTmJ0pSaIuYKiliY1DqkU0KopUi9uowuCfutXXbVcOP8J7qjtm+84Nh73E/H1ZXx6+PL5hXhzY/kg9sykW8zM/r075x3cZHfdPYzpoDYnmtxC8/DpQn1XlgvnHtq4dfJ3jHKCfgCOztOXLXY6W2ox74w+HWf6j8aLwxxuuD/7p5k7EedjHjMLYSDSXusVxF3rZtqgO4yRjkiD6cN9VqY+G8ErEVd/QcwDdiefF13tZe/FdCtoqB+GhjsbP+Md62sIvBZO3S/QVfb/zY64p7SY+BH12/xPIw0uNsPnKuccJ13YdY1o+OhXGwRV44t2NhLy1sMKauT+eE8dLXdi964zA+ZUsRm58oSaEtYqqkiI1BqUc2KYg2rYiVxU02EbvRycKNBVmO9XVseOVTk2pjFD/yBEgv0mJ7wvG/FA7dKF8nKAWzvu712cW4KT/PtosckBcwEJwkZwMZSAAAIABJREFU1jHH7AmHvyO/G17WXYdN+XS2En+wR9tUk9jU+dWYezlirI0PW2Bvz2Wc1CeCHDVbG8y75gLGWUEp/W18EBsRWXv2PHiEKcYgB7HxXsjN2sXg5vmTPs8n+oCbttN9yFv3ae7XxbQiFvFQFzDX8y5jNMf1PYDxOo9YIRuDnee/rrYYTGxMOde1efEsTyV+TCyNE3LWfYgF7GEjObXdTzE5wL+em6Y+nYe1Ay/0vahrQe6LaCli8xMlKbRFTJUUsTEo9cgmBdEKEXv3n4XBlK+Na/5w9PG4bCLFRnLwJSM/9nqxqToxNr/w9kIIwYe0hUj59lVh6/D7w9FH/UhYV369PvFx5AOOCIc+dlFtfOTn2XaRg+Cna5Z6t+/40+KptK6t2ERUnqhn9aynjnKvmwvtHz41Nva6xbwulowrNt2vv3OUA2zhH+eIi9bmrXOQWg9e/uKJufHmADU3zYXY2DxOf8FvFhyxecCfbnVuGhvdL3Xpa3q8d6zHyjjkB9xkjNcn/W21evH2P+/4ifvO1m79Hrj0tLH7SONflxvitGGh6/ewq/Pv1daGCWLZepGrYI544CdaO6YtFq7bdcXDzvqWPNvuJ9Rv50rynXb9E1/ARs+B7vPuRV0L8llESxGbnyhJoS1iqqSIjUGpRzYpiFaK2A+Hwd18LQODjWteUz61/tjFWc/B1uEPDIXQGVnnuYw5ZMx81g7yNJ+5qLsvKGLzEyUptEVMlRSxMSj1yCYF0Shil7vor11yWtj3hEdmLwwpDpbLkzpBwP7xeSFPx/HIkR8UsfmJkhTaIqZKitgYlHpkk4JopYj9SBjczdeiMdi+4+qw97hfCOsH5elm3vhvHf6gehKbd665Y8n80vGHPE2HbVe8pYjNT5Sk0BYxVVLExqDUI5sURKOIzX/R72rzoB/ONTlADiybAxSx+YmSFNoipkqK2BiUemSTgmiliP3zMLibL2JADpAD5AA5kJYDFLH5iZIU2iKmSorYGJR6ZJOCaKWI/YswuJsvYkAOkAPkADmQlgMUsfmJkhTaIqZKitgYlHpkk4JoFLFpF2xuiMSXHCAHyIGKAxSx+YmSFNoipkqK2BiUemSTgmiliP3LMLh79tfW4auHf6vzaXP5mScHjp19/mbBDnO+fvDMXT3nm19YD0c+4AfCoY+9cVfjMAuHOGax92wueFPE5idKUmiLmCopYmNQ6pFNCqJRxE5uJBBo+EPpXlv+MfP3zCVcRAAVPw35dd+PzaP8oYRxsSQ+jjjieyf+AH75R9N/NBz+9odGOcb4i93o4IsidneIWMw37gWPix53PH7W3Tue7bz8gs/YfL0abO3AQLd1NXn+6vok1526HtTV5PVTxOYnSlJoi5gqKWJjUOqRTQqilSL2o2Fw9+yvrcN/pp7ExvvZ/MIVw6dYb5or/jS5zxJz45qLhz9I0F2e23f8edh73H8Y/rKPiNhx3DxM1y45fSIPqUdE7PrBsyZ8aJ+x/vQYHHuYwV9bXPhoaj3/TfY5Xcst9xT5YK5Xz5JPWkqeelzENd2KnR4n1/Y/7zcmeCz3mIhCzSf02fHaf9uxxH/IQ44u7hHPzyx47fb1oA3ztusUsfmJkhTaIqZKitgYlHpkk4JopYi9Jgzunv21dfjDQxH721P5qTaQP5pq3Dy5zhKz2rQm80Tt5ZOY90bVsf95vzl6clo3bu2SF4Y9e+RJqvwkcDk323f8RSF8V8+qcJZ6KhFbP4ex/hBLtx5mqLsUHfVxtZ+6Y89/nW1u/bnlniKfebjjzRe4o3ks94Tlu4yV/n1P+KXRPeD5q+vT90ud/1nw2u3rQR3esf0UsfmJkhTaIqZKitgYlHpkk4Jos4pYLcTwsZrelGTjQ7+05cd5lQjERqZtsFm1ja1bLNvGNcWs8yn9TZsWxiG2rRPXvVbGeCIWmy/w0GPtZiybcJuIncafjiXHdZih/8ClLyrewGAeNQdkPHDBdYsP/OC6tF7dyKvNn9hBmBy8/KwCGx1T5lLH8oQTYunWjhMfIuAR69DHKm5bW68er26bi/Vjr+v85NjzqWNbf/qa9YXzebgDH7ZFnporwmt7LzTFtj69cz03UrvmgdgjD82HGEw8XzY+eGpjWjt9vhPWA53vrMcUsfmJkhTaIqZKitgYlHpkk4JopYi9Ngzujn+tXfKi4YbzvmLc1uGPqCexpR+xWT+4OvJrx0i8zS9cOfw6wZtHdtIfM9bLN2ZcXUzPH/o2rnn9cAMczxPXdSu22BR1/doGxx4mcm37jr8Me4975FDMjc+LHSP1eN+J1bGn8YfcdOthhjkvhUfJAw+nruck1p9gUoo++RnOipM6X+mv3hRUdrBHKzFL0VrxWWoVEWaxsRh42AO7UsSVuYndSU8+Jtz69RJLO8+xudp8UENMXrDVrZc/rns54lpTK+NKcVfdT4ij5yxmbtriwJ+HuYytw6vJr8WyzbZv60FTvTHXKGLzEyUptEVMlRSxMSj1yCYF0aYVsdgMtEhCn96U7WLmbRZenx0n57F2dqw3zuuz4+z5NJsWxkociEuNFa5LWycCsKGXT4WaRaz2h2Pxq0XXvP48zDDnujbUrPuQE1rPl9cH+7bWG+v1efmKb89Wx8S4Om7r8cDZ2mobxCyfnlei2ItpcbR+9BgcezaxecGHbjF2Vi5qX3Is+Untnj8RrRB8aC2W1l/dOfLW4z1R7OFV5xP9u309AA6zthSx+YmSFNoipkqK2BiUemSTgmiliN0Ig7vjXptfeId6elqO2Tr85+Hoox4QVs96+pif/c87cWxTut/9/o9w6GPy9KUc5/nCtbaxsLNt27immNYXzjeueUOwueNaXStxKhF79qhmbV+J2KvGrm/f8VH1JHZ8XurGaL9yLDjs2fPvwuFvfzjM68/DDHO+frCqzetDLhAl0losPf+2Hn0+yxzr+dC5ePnoWBin67TXyz+x9eZQV7/Xr2sonw5XHEBMm2dbrpKXh6UXX2zr+nV983JH+0Jd4KW+pvmKfrnvpOZS8I7fB7Cpaz0cYvvqfKJ/t68HwGHWliI2P1GSQlvEVLkigfkiBvNwIIWIxeaoN6vYDSR2rF1AY8d5eVhf9nyaTQsbr2y+dcIH/usEaZNw8DZ7+NOttpvXn4cZ8NY12j6cz8IDXQuO5/Hn1QC/Ta2MK5+aVmJd22u/yE9jIrZ1/XINT82FLxCz2qeOFXPsja2LX9ev48zLHfgCjpoLuIY87JtguV53j2BsXatxFWz1S4tiD686n+jf7esBcJi11SJ2nr2LY3e+9uGT2Bip3yMbuWm7/leI2LuuC4PI1+Yt7yw39cvPHo3Z+s5fVE9i77ouiM1RD/yRcOvX3z+ykb7iidUNb2ntixlr850npvVlzzeueWP59FDlbm3WLnlxsVEWTxkb7PQ4GVMKlwonXPeubd9+TfGEttjsG+YLdvue8KgR1vP48+YOc77u8AB9Xc/JPP6Qbxt2wB9t2ziNDXC3MbQN/NpWbAqxfPnZoS2mHavPvVjz5CW+5+GOjJf7R0Sk5qPOualeL7Ye6x1P48/Dy/Op+3b7eqCxmOVYi9iu9zP6mw2BFNoiJhOK2BiUemSTgmjTilhZtEZP+b71kUIkyUYjmxQ2b2wiEDPYRK3Agx3GiW/0tY21i2fsONjpmNaXPW/atOCvToxaX/q8aYOGX52n2FsMZS60jfiXPmsX60/nh2NvLPowT2Jr++z5NDxAbN3G+qsTJuCpzllyOuH4x4RDDW88PNyFE4K7jWW5gpq1gJMxxzz2Z8Lh4f0jNdpxs+YKjCwnrH8vL421PvZ81mEi64DG16tD+8axZyc4ibDXtUgdNgZ8oLW1ol9a+ESOXm3a3jtu8g9/fV4PPEym6aOIzU+UpNAWMVVSxMag1CObFESbRcRioZbNRF6nv+DksSexsqBhs5HrIqgOXnb2xJNYa4eNPnasXThjx2k7xLS+9LnYW1Gor097LCIT2OkWGyv8WZy9HHQt8FW3gcb4Q2zb6jiCGXzpnL0+PW5aHtgc5DzGnxWW2g9EDLCStviIWwlKbY9jHRdjpXYvlrW1HIOAhB9pvbntIlcduy0v1Oq1mFvk7OUL/+CEVyfGS2t5ivHaBr6QE2xsP65La99k62vIqQ4X3a/H6WPJwatf20xzvBPXg2nqs7YUsfmJkhTaIqZKitgYlHpkk4JopYi9Pgzu4osYkAPkADlADqTlAEVsfqIkhbaIqZIiNgalHtmkIFopYm8Ig7v4IgbkADlADpADaTlAEZufKEmhLWKqpIiNQalHNimIRhGbdsHmhkh8yQFygByoOEARm58oSaEtYqqkiI1BqUc2KYhWitiPhcFdfBEDcoAcIAfIgbQcoIjNT5Sk0BYxVVLExqDUI5sURKOITbtgc0MkvuQAOUAOVBygiM1PlKTQFjFVUsTGoNQjmxREK0XsjWFwF1/EgBwgB8gBciAtByhi8xMlKbRFTJUUsTEo9cgmBdEoYtMu2NwQiS85QA6QAxUHKGLzEyUptEVMlRSxMSj1yCYF0UoReygM7pr+tXnLnxR/jHzfE355pvGzxFzkmP3PO3n4h9Vf1ml9W9/ZKP6u7vrl3fpdJDZ9qGGReMXEkvvpyAf8YDh0w4FO+RYTuwubGE7s9BrbcFp2fZiD1bP+32w5RBGbnyhJoS1iqqSIjUGpRzYpiDariN2+/Yaw97hfCqkFLOLoP4Cuj3V8iGp9Hcd79jwkHP7WNWMLOxZ82Nz//v8s3Pr1q8dsRMh6/W2bWdN1xKWInf6NUxOus1zbuObNSd6ozJLLsgXQLDnrMTG83uk16nq942XXhzmgiO3Rxr+AUlJoi5i0KWJjUOqRTQqizSpi1y55aefiztsU6vqwWGshCBGr++rGx4oXxJl1U/A2NfiMybMu/2X396GGZWNo43tcsTY5n8dwYqfX2Ib/LPXNMqYuD8zBrOtVnd8u+/kkNj9RkkJbxFRJERuDUo9sUhCtFLE3hcFd8a/t2z9WPIUtF8r4cdPEaLNdu+TMUD5dvXaU++Yt7ym+3lCKw/q8Yu2QgxcL19paiVV+RPzWUZ5b37lOfZ2gPs8238u83ocalomfF9vjimeXa18MJ3Z6jW3Yz1LfLGPq8sAcLHNtrssN/RSx+YmSFNoipkqK2BiUemSTgmiliL05DO6Kf23e8t6hMHvb2Lit71wfjj7qyHDg0rOKFh/Tr571u2N208TybBFn/fLzx/xKXkcc8b3B9lsflSjdGBtv7XBeVy+u17XIEzhIu+8Jjw7oj8Fp45pLio+74aMU7u15N43DNclF5y64SByNH2wRH9dja4BPjC9/c77iTawfydPm8pCH/OsJHlqbNrzs3CIf5Cttmw8vN4st/DbNuc5F6rBYSZw2jmsfmFuZg/IrMR8u5nv79huHb0LH78s27GLnUvMHscAbnd+sNaIumy9i1F23cwI85U3mwcteVqwdwBx52n4ZY+NqfmDcoRtKjsdipvmm82yKhTrx3X3to+s1F7G6aCli8xMlKbRFTJUUsTEo9cgmBdFmEbGysOpNEQsbNmp9TWyxMcBOFnoRm3rRtcdNi7BsDHrjaPPrbarHPu4XxoS2xK+Libq0H8Rsa+2mJvbw14aTFR8yVjYsr3adR8w4bI6oCXOCc/GHDVj3yTjBaZoa9Hib2zR+LI8st6zvGLz0/CAXzQMRYSc9+dhw69dLAahxxrHNA8JNixH4bppznQt86FwwJ03zjzgYBz/Cb8wDbHAOvzo36bNcE3ybxli/ONf5dlEj8tU1SR+4iWPNF+Cg50TswHudY1N/G8d0feKnDTPEKj+tqd7cYWzMnGgbYI75Fz+5vShi8xMlKbRFTJUUsTEo9cgmBdFmEbGyMNtFXxZKLKB6o8MmofvmWVS9GE3+JFe92WEz0wu/jEeedpOTaxgzy8ZgNzXx59WA+MDJs0Ge3oYn1+p8140TbGSjv+Yv31wIel0f4us+xKiLY2vQ9ji2eCAO6hY76wc2NhctHmGj/cBXE146HxsXOTe1ddzQfmW8l5+NZ8fI/GiewofFweYn4hM8Fp9HPfAB4eSTfnXUJ7h5fufBztaIXJEHcuyiRviuwyF2TiQnm09dnrY+2Fkfdf5g7133+lBj05x4NuirwwZ5LLOliM1PlKTQFjFVUsTGoNQjmxREK0XsfwuDu+Jfa5ecNRSx142N2/rODYUYWr/85aN+r2+aWNZ2//Oe4sa2dvpcj9m+/VDYe9yjhhv6eM1SV7W5V9cwptwYqn4do+5485b3qY+8y7EeJrZPxtU9ra6eME3mMu04wUZEfik2Kn/wo+dS12jzlWten/QjhsSRl87fG2P7PAzF78Y1l458IV/E0K2Op2uQY+tb5+pxwY63ueK67bfnYmf7bC64Dt5JvTE56ftTjmVu9Vh9HRjEck3jUzeXBy5dLdYByynEqt5UVBhMUyPmehpuenh7+UhfXT/iam7hGByzcyi+mjDrOpblDOrJqaWIzU+UpNAWMVVSxMag1CObFERbhoht2gywKWBT04svxtVtXtpWH8smUj45vi5AkHobrBZFejzGeDlpO+/Y29Sw0eg6bJ83zvNv+6Ydhw3W4tGGtc1X8rB9OAf2YmPzg80sWOj5sn4tLnXndeNE6IGLTcLRy78Ji2nrBHe/+U/XFG++YjiImq7fWAsnHP/YIN/P1HmKT+0H9uX3OKs3MhozjI+ZS+AGYaf9eLGmrVF8lN99r94s6xjIVWPtzYn0efnU9dfZ6tjaBnk0YdZVLOSAmHp+cS2XliI2P1GSQlvEVEkRG4NSj2xSEG0WEauf6uiFEQuo3jy8Pj1mmmNsdoe/Nf4EuMkHBKgWaSJQPGFS1z9PDXpTQ56eP9uH82k3o2nGod4bb3hbIQp0rDY/uN4011K7fJRdfp/Uf8IV68cTLVrEwo+uAXg3td78aHu57sWGDfhl41q/yK8NL/2UUmIg/nnnPGviiT5ysC1ykjHHPPbnAu4XuX/ku+APfvBRhbDFOORma8B1aSWPaedS4lkha3GBb8E4tsa2fFG/racutsUcOdn+trh2XAxmdoycyys2luVmzDjEWFZLEZufKEmhLWKqpIiNQalHNimIVojY7f8eBlO8Nj9/1XBDffvYuK1vf6z6OsHQn9c3TSzYSswjvl/+8sDLx2LiurT7T31KWD3zGWPXpa/cSKtckdO+xz96ZAv/drz49erd3rqpeDJWiOGvfWTkR+cjx4il/aJP1+L1rb2lfBqo7STuCU86Jhy6oarHxowZt/FRfBRf+pFzeYKmY4kfi53YSS1evrbPngMz7dPaaMx0LjKPex7+Y+HwN68vsPZ8xdRtsdJzK8eF6BvGEFuLkx3v2SA3za+YOnUuOo7ULnOj/enr3jHGaN6Jf7mHPM62YWfzR41tc2nvv65qbOJm7JyIXV0+df1tOOlxMZhJDrDTcyX9bbHExt4XGGN9iW0uL4rY/ERJCm0RUyVFbAxKPbJJQbRZRCw2MLtQYjHW4sPrm2UxlcXa23y1LwgxfJwpbd0Y1KBtdd7ar2wMWkDJNdRlMdDjcKzzEiGCsTqe1yfjZVMU4aHztLkgjm6bxiEfmzuEj84Ltjq+XPfy9fr0eBE8By87f+wNkDfG67PzJb5edeGpEyK7qW6ND4616LAxpGYt0jDGa3WdMs4KTq8m26dz0THEd2weGOeNQX02N4xpw07XGDuX4hu8krhd16h5KcdN3PXqrsunrl/qacLJjmvDDNhrO51nUywZCw4Bh9Of/5/L/6Rp3swjTg4tRWx+oiSFtoipkiI2BqUe2aQg2iwiVhZCEXZ1AjGHhbKrHLBJWMHniYSuYtJP3FMjmYPdwEH7tK2P/NgNNfZx3mapiSI2P1GSQlvEVEkRG4NSj2xSEK0UsR8Pg+3pXttbN5f/y//xj5l67LSxlmm//9SnDoXSn4/VufaW1bCv57UvE/e22LuFf5uff3844vv/RVi//IIx/rXhs5Ou74Yad9J8pM6VIjY/UZJCW8RUSREbg1KPbFIQbVYRKwsdNp++ijkRsOVHlOMCAgKqz8Ii9UY2rf+Nj66NfaVC5qV8Oj7dm69p4y7bvu5N1LLz6jL+bqixS7x2ui8tYv/tC44NfOWDwaLl0oqIGr6IwTwcmEfE7vTFlPn3WwByfjm/5EB+HKCIzUe02jcQ82iJWcbySeyi3zYsOZ6QpOt/pYj9RBhs80UMyAFygBwgB9JyQIvYrvcz+psNAYjZ2UbPPooidnbsduRIiti0iys3L+JLDpAD5EBaDlDE5ic/KGLzm5NeZpROxH4yDLb5IgbkADlADpADaTlAEZufPKGIzW9OeplRn0Xs1rdvGv5QwisWLqg3P/+B4n+Al/9BLe0CvhM3yP2n/tbwP7gtfm40XuDI6pnPnJojGLt++XJr0PWkPEa9s2AVk9es/mcdF5MTbXbG2kURm588oYjNb056mVE6EfupMNhO99r46NuGIujC2jhb3755KGLrbWyOGIM/9O215d8R/Wht3O2tj4e9x/1y2Pf4/zhmA+Gmfbb5svnNe27rK//g/eVjebbF2Pz8B8ufC/3aJAZyTf58k65Rjtcvn5wDwWPR9dvagMfqmc+aCgPxg7FebTZOH85R7yxYxdQ/q/9Zx7XlFLPGtPmQ6135yS1WTD6LsqGIzU+eUMTmNye9zGinili7OIp4Kn+XvBJk2NzmERmyAU0r9Nbeco4rzkS0lb+MdWgkmKRvWv+29thz4KFFiOQ6TXwI9DrxKf60f8mtbhP38omtpSu72BxS8WueOryc5vHXNjYWqzY/dddn9T/ruLo85ulf9JzMk2ufxlLE5idPKGLzm5NeZkQR2/y0eFoRC5FnhZxsGJ6IXeQGLALTiuimfO0mJ/njCWudiLVj5LypRi8nz0eqvqbcdExPnGDsPG+SdIxpj72cpvUxjT3q9bg9jZ8621n9zzquLo95+hc9J/Pk2qexFLH5yROK2PzmpJcZ5SBivYVfxI0WSlZs6THYxCCwpJWP8tF/4JJzi68V4Po0m/C0IlbnZTeJZYpY4Ge/4iA5ennZ3PW5nRt9zTtusm/CS/sSH5g/ae3T42nmWotx+GziBHzDVtpp+YWn0fBh30zoWnHsxcU47xrmdpFYtcWSWjDHBy97RfFVEz13084FsIkZ14R53X0tuZa/ZnbhKO9DN5Sf7rTVWjcnqB9+pAabG+YO9cHXtGuXjQU/4J204BBi9aGliM1PnlDE5jcnvcwoBxGLhRZCAoJLFlw85YINzu1ibc9lYcYYLYbrNq+6hXwWex1P+/XEouSNTVPb2mPY6c3IHgM/O1bOgandLOWabM51OXu+Yux1vk15YY4wr1485KhtbA7wo+vw5q5uXFOOEn8eftmY4s/jgq4d9ei8ZA5POvE/hVuH30X2clo0VlJb07wAO+G4FU8WF69mjQmOY8ZZGxmrMa+LpcdZfOVaTK32a03Wj+Wld28ivzY+AxO0OhZ8NHEI43Z6SxGbnzyhiM1vTnqZUQ4iVhZQ2WAgsGQhPuqBDwgnP/nXRn2y8OsFXS/WMt6eSx8Wcb3xiF2MaMSibjcc9Ne1stHZzRq2ehOVPmxedfYY10WLWMBY+9Qbt+6vO57FXj99036Rl95o9fW6YzvfMXPt2aCvLb6NJ3lhbBO/PBsZ6/nTtcbwtM0H/Fk7Lycbz7NBXxNWNlZdrfClsUNfk3/YNI3zbLw8LI8xDvG9WoCp5y+mr47vNhZy0XXaOdK54Fj7ibHHuJ3eUsTmJ08oYvObk15mlIuI1eJPjkVsaeGqr8uCqxdr71z6vI3A62tawLsWsdM8PW3Ka9pr2DyXIWKbYuMahENTXfImQOOnhbE3r7bPckZiwaYtftNYLTTgD30QEjpvHOv8vbp1vfoNHGy9nHBNj5V4OpbNUeOg87ZPFDHOYtUUS3x7eXp9df5RU50vOy4Wc9ihZnuveznOWytyRUzUZvvtudh5fRiP1uas8/U4hHE7vaWIzU+eUMTmNye9zCidiP10GGzHvzY//6fFXxe4/to/Dic86VfCoRsOhq1v/7fhn8h6Zdh/6n8e/q/30ifsxU7i2HPp0+ORi9eHa15bbWxlHM9G95Vi+8fD4W/eNFG/1LDn4dU1OS/FRbtvqU+eIEMAeW0pLnzMt7c+EfYe9+jhk+1xG5uXrsc7lhrLDfGaiRo9e+mri4G8mnLHnGns7HzDZv3yV45ysn12jOQFm6b4Ytc0dtqYdRjV9QvemG+Ne1NOi8AK2DXFqsOuKfemuYgZ59nUYat5Kcflm7zJNaarWuFHc0Zys/323LPxaqqrvY5Dno+d2EcRm588oYjNb056mVEuIhZi5rxzfi8c89ifH4lA2ViOfdwjw4MffHQhbLHA2sXanovdrBsBYkg7rYgVey00tC+9YUo/ao4VstrXLMee+EQOTcLBxvL8WBt9jhhaIOC6N0e4hlbm9qgHHhlu/Volmu18e35sn4wpv0oyKXTb6rfxJDfr3+uDTZt/1NrU2vy9nKRvUVjFxJJ66vKcZS7EV9u4aTDH/X3wsguHf6KvekOp85631vKp9sHRPW/5oGN5PKrrs3yxfrzrFj9rsxPPKWLzkycUsfnNSS8zykXEysIpIk+eOOkFXhZlWXStMLSLtbdxoU8/9fD6mhZtbHJ44ttkK9dsXtreili5BoFn69PjujpG7RpfEaRWREvNMg8aN51DnYhFLXac1G1jwF8TXrBB3vCLONqntZGxXp+dA6nFcg5xdQtfGjv0Ia+6mIih7aQGfOKg4+BYcNFv5qTfchHxm3JKiRXioy4vluRdN8ezzkXMuFjMkbNwQD9RtnnH1go7PSe2fjuPyEG/yYMfYCv5eH3Sr186VgyH9NidfEwRm588oYjNb056mVE6EfuZMNie7rXx0bcPxc76aOz21ifVx+CVv83Pfygc+YAfCoduqGw0tSaKAAAgAElEQVRlvGxG8pINYXzRL8d6fU15ejk12SPf1TOfPaoB9tXme/PYNeRUirKqHozrskUs4OTFBI7lBlphLvljnG61Hcbq66VAv3asZtS09pZzh+JhHBNcR6v9Ss7lk7Nq/lGXzqWpD/md/vynF19Z8eYLsdHqHKbll/BV3owhrrSlaPLrBo+0fdNciV0pgj4TdJ6psWqLJdh596r0Y35QY+xcxI6LxVw4KDlo7nh5x9Qq47SdzIlXv7bRcyfjNTY6J9St+2CPVseK5RDG7uSWIjY/eUIRm9+c9DKjnETsTl5Ede6yKTYJN227m4+xKccIyN2ME2uv3kgRC2LhcYAiNj95QhGb35z0MiOK2O43BTwBwZMxb9Fl32eKr49Q7HfPP3KLmO42DlDE5idPKGLzm5NeZkQRm2bDw0eZFLI+vvhqQtNHo7ttI2a9PleIC3Fp4wBFbH7yhCI2vznpZUbpROxfhcE2X8SAHCAHyAFyIC0HKGLzkycUsfnNSS8zoohNu7hy8yK+5AA5QA6k5QBFbH7yhCI2vznpZUYUsWkXV25exJccIAfIgbQcoIjNT55QxOY3J73MKJ2I/WwYbPNFDMgBcoAcIAfScoAiNj95QhGb35z0MiOK2LSLKzcv4ksOkAPkQFoOUMT2Up7MVNSKNyqF0PHisG/xCKSYW1lQ5l20195yXtj3+Mc2+tn69sfD0Uf9y9EfkC//GPyVjWNsXpuf/7Phz3Re1zgu1s7653nazYv4El9ygBygiF28dqiLiCewuq2zTdFPEZsC1Yx9JhOxd342DOZ4rb15KGJrfGx9qxSwq2c+ZxRHxhRC9vorR31NOWzf9umw99cfXf4wwd9fVzsm1q4pFq/NxwfiR/zIAXKgjgMUsfmIDC1ecbzI7FZE1PBFDObhQPEktkZ81i1Ctr9NxMr14mc7/7//PhKfEJta2Fq/ON9/6tNGT3CLP7hfI2Jj7eCXLTdacoAcIAcWywEtYiGc2B4bFo2BiFUv5jx6YtqxfBK7yLcMGcQSgnT9L7WIhVgtvm5gxLKITitumzYUEcNNIhZjY+1gz3axmxjxJt7kwO7lAEXs4gWrJ1ZFS9T1d60z6vxRxNYh09P+XESsiMSVlZXGF0Rrk4idVmzG2sfacSPdvRsp555zTw4shwNaxPZ0q94xZVHE7pip6kei6UTsX4fBnbO/1t78svI/djk+tm/7TNj7649xr8u48snq9VHxY+1j7eapmWNn5wuxI3bkwO7lAEVsfnokhbaIqZJPYmNQ6pFNCqKVXyeYb0GliJ0PP27oxI8cIAd2CwcoYvMTJSm0RUyVFLExKPXIJgXRliliq+/EfpxPYp2n2LtlU2OdFHDkwO7hAEVsfqIkhbaIqZIiNgalHtmkIFopYj8XBnfGv9befH7j92Hl+7L7Hn/MyKfYl18buGHUt33bXxVfM1g98/dGfW05eH68MbF23lj2xfOAWBErcoAcmJYDFLH5iZIU2iKmSorYGJR6ZJOCaLOI2GkXra1vfbL4oQMtWEVoln8n9h0jEbvxl5cX4nj9sleP+nSsWHEaa6d985ibMTlADpAD6TlAEZufKEmhLWKqpIiNQalHNimItggRKxsDhCz+qoEVsGJTJ2L3n/rb7pNfK3Zj7bhRpd+oiDExJgfIAY8DFLH5iZIU2iKmSorYGJR6ZJOCaIsSsd5ixj5ucuQAOUAO7C4OUMTmJ0pSaIuYKiliY1DqkU0KolHE7q4NhIKB800OkAPL5ABFbH6iJIW2iKmSIjYGpR7ZpCAaRSw3tGVuaIxN/pEDu4sDFLH5iZIU2iKmSorYGJR6ZJOCaBSxu2sDoWDgfJMD5MAyOUARm58oSaEtYqqkiI1BqUc2KYhGEcsNbZkbGmOTf+TA7uIARWx+oiSFtoipkiI2BqUe2aQgGkXs7tpAKBg43+QAObBMDlDE5idKUmiLmCopYmNQ6pFNCqJRxHJDW+aGxtjkHzmwuzhAEZufKEmhLWKqpIiNQalHNimIVorYvwmDO/kiBuQAOUAOkANpOUARm58oSaEtYqqkiI1BqUc2KYhGEZt2weaGSHzJAXKAHKg4QBGbnyhJoS1iqqSIjUGpRzYpiEYRWy2u3GiIBTlADpADaTlAEZufKEmhLWKqpIiNQalHNimIRhGbdsHmhkh8yQFygByoOEARm58oSaEtYqqkiI1BqUc2KYhGEVstrtxoiAU5QA6QA2k5QBGbnyhJoS1iqqSIjUGpRzYpiEYRm3bB5oZIfMkBcoAcqDhAEZufKEmhLWKqpIiNQalHNimIRhFbLa7caIgFOUAOkANpOUARm58oSaEtYqqkiI1BqUc2KYhGEZt2weaGSHzJAXKAHKg4QBGbnyhJoS1iqqSIjUGpRzYpiEYRWy2u3GiIBTlADpADaTlAEZufKEmhLWKqpIiNQalHNimIRhGbdsHmhkh8yQFygByoOEARm58oSaEtYqpckcB8EYN5OFCK2P8RBnfyRQzIAXKAHCAH0nJAi9iVlZXAVx4YzKMjZh3LJ7ExUr9HNkKUrv9RxKZdsLkhEl9ygBwgByoOaBF7ySdC4Gv5GMgbiWX8c6OmEDrLKI4xJxFIMbcUsdXiyo2GWJAD5AA5kJYDFLHLF632jQNF7KTeYk8CBChi0y6u3LyILzlADpADaTlAEUsRC3nEJ7FAYpe0FLFpF1duXsSXHCAHyIG0HKCIpYiFZKOIBRK7pE0hYr/1v94RZFHhixiQA+QAOUAOpObArV97ezj33HOLl/1Ym+fLEbj8OsEuEZHLLjOFiNU1YWFhWy6wxIE4kAPkADmQjgMbX/xseNun7uZ/7lryf3CjiNVKiMfJEKCITbeYcqMituQAOUAOLJYDh770qfD333hPuGHzMxSzSxSyFLHJZBsdawRSi1gdi8ezIcA5mg23RY7iHC0S7dliyabKj5aX89HyonGXJ7EiYv/hG+8KN3/l4+GyT9/JuV+woKWInW2d4qgpEeDmOyVgSzDnHC0B9ClDco6mBGwJ5hSxu0PAasG89sl7wzW3/E3xZPbjX7k5rH96i2J2QWKWInYJi9xuDMnNN/9Z5xxxjvJHIP8MKWLjRez5L3ik+tWrR4YT3xc/VovIXI5FzP7FLbcUYvZTX70xrB84ZVTfoy4O4ZKLn9l8/onNcOLDhr+C9bCLwvmzCEEbYxYfO2gMRWz+a2IvMqRAyn8aOUeco/wRyD/D5YpYJYIafxb1meGUZQuVkdhajHg95fimn0jtHo8Pf34z/P1XLw0HL3teeOhDjw4UsWneoFDE5r8m9iJDCqT8p5FzxDnKH4H8M1yuiDVCYSQUV8KDXrCZ9CPu6qlqnCgdicpZnzhOKcJH8Vbi8uvq6e4H/+bvwle+/sHw1393bXjvO08ffxI7UYN6E7IgXLqqc1l+KGLzXxN7kSEFUv7TyDniHOWPQP4ZUsTGicSRqFyQWBvFW7CIhbgTMXvL594QPnDVGeEXf/HHyiezFLFzv7GiiM1/TexFhhRI+U8j54hzlD8C+We440Ts+y4KD7JfPXCEZSUC9cfypWCtnsLqayth5firHZGinjbquMrW8zf+JFn5OP7qMLJXPiAe0Vb5t4vsytbUs4KvHVwdHoXcFVbVuKGdehKOrxOIgBUh+4kvfDB88D0vMU9mVV0PuyicUvudYWVn67cxPxGZ6ydCGOUvNRleFPlrG6lf1Q6cF91SxOa/JvYiQwqk/KeRc8Q5yh+B/DPcSSJ2JP6UGBkJGU+wjYlEEUeVIBz5Un1NgmYyTvlViFH/KKdxwVb6VH0Qk9KO5Tf+1YqR35b8KjsIViXuPExGeTp2VlCq86dd/s3w1596XbjumvPDySf90vDJ7HhdpXDXfchJ9ymhLfWrGKXwnEHEKoFazWsZx/ocf3MxjnnT/Hd1jSI2/zWxFxlSIOU/jZwjzlH+COSf4Y4RsepJG56yFcLCiiBl1yRYKrFTCdsmoeKJxUtqYk36ViKuQbjq+FU8JfoggOGjJn41FiIyUhhaLJ1z+U9fb3z9M8Lnv/qe8OHP3+j/dQI7Tv8VA+SOryZM2Ebmqp+yKmE+KYpFqCr8tS1yWGBLEZv/mtiLDCmQ8p9GzhHnKH8E8s9wx4hYJXYkZ+9ln7qN24yL1Umh2fxUblIYOn+CCmJI5TrxdNKKOIwxbRVvPG8tdKsaVsa+s1qN7V7EAtMTDmyFT331z8JXb3l9ePYzjw3f87PqT2xNU7+ynZg/JTgna1JPkpUdRay/5qx43dxEPVT60ce5zX8eOUeco/wRyD9DESVaGC31WAmaiaeo6trYk1gj/sr81ZM3I3gxthKA9SJRY+GJKF8wjYvbvorYEsfN8LuP+b5wwcufGj79128PH8ZP2qq5aq1f2VLEplsvKGLTYZulZwqkLKdlLCnO0RgcWZ5wjrKclrGkdoyIVR+dN32XVAvP0bEaC3HciYh1/ErMSd9KVHf4JLZORE8KbhVfPbWcsLOCsu1cfUz/I4+5uBCxf/+N94QPv/fU8CM/8n1hZfR9XhXf1m9jKJ/6P2JN5MqvE4zdx20nFLFtCPXsOjff/CeUc8Q5yh+B/DPcMSJ2TByOf3yO76YWT/JEFCmhVgjZkVBST11HfcaX+2RXfXQ9+s9S5dcPRuJqFNMTbF5f7NcXVM4TuSm/XnyV6yjPpj6LSdu5Izjf9qkPhTe98Enh0598Tbjgne8Ol336zvHvpLaKWB/rxvxHtY8/BcdTd34nNgSK2PzX4k4zpEDqFM4kzjhHSWDt1CnnqFM4kzjbSSK2EKTq6afkXr2G3/9Uwqu6Jnb4fmglHqsnpkM/VmAp0eiJKDzpnfCzYn+sQYnNhhjwJ20VT9eIY12L+o9QBR6PDA/CT8GO1Wzt4EvaSexGbwiGGLvnWsSOzcVK+J4TPxSuueVvhj9p+2fhOY/7oXKubP1qvirRGZGrxogitnVtoIhthahfBtx8859PzhHnKH8E8s8wKxGrRKMWdDyuhHcMFpUA1mJ3Oh8xcWJs1j55byh+0vYb7wmf+uqN4cq/+k4+38FeAt/kflvGPzcqN9FlTMViYnJuF4PzPFE4R/Ogt5ixnKPF4DxPFIrY5Yi7GAE4q01OIlbXIGL2b//hquInbd/52W/uSjFLETvPasWx0Qhw842GammGnKOlQR8dmHMUDdXSDCliKWK10FzEsfyk7Ve+/sHwN3//l+G9n/vGrhKzFLFLW+p2V2BuvvnPN+eIc5Q/AvlnSBHbPxG7CCHaRYz3f+7r4ZavfaR4yXEXPnP3sTQRmzswzI8LETlADpAD5MC0HKCIJWem5UzX9vI0Vp7KytNZeUrbtf+c/Mn9Jg9gFv1ayQkE5sJFhxwgB8gBcqALDlDEkkdd8KgLH/I92b/+u2uL783K92e78JmbDz6JXcL/psuNBMyHiy45QA6QA91wgCK2GxzJx+5wlL9gIH/JoPjhhM9vBvkLB33BlyKWIrY3ZO7LTck6ulu8iSWxXDQHKGLJuUVzLjbe+qe3RmJW/uZsH8QsRSxFLEUsOUAOkAPkQEccoIiliI0Vlcuyk1/9uvkrHw//8I13hRs2PxPe9qm7d+z9TxHb0cK1LDIyLhdMcoAcIAfy4QBFbD5zwfuieS5EvIqIla8ZHPrSp4Y/ads8JjdMKWIpYnfsO7Dcbibms7MWP84X5ysFByhiyasUvErpU8Tsxhc/W4hZeUIrT2pTxuvSN0UsReyOIWuXxKcvbjTkADmQggMUseRVCl4twqd8R1a+KytfM5D/CCbfoV1E3HliUMRSxGZP0nkIzrHcUMgBcmCRHKCIJd8WybdUseRPcsnXDETM5vyTthSxFLEUseQAOUAOkAMdcYAiliI2lbBchl8Rs/KjCfL3ZnMUsxSxHS1cyyAXY3KxJAfIAXIgLw5QxC5wPi5+ZhC8i9fxV8/4RmwznPiwoY+HXRTOz0wTnHL8MLeVlfCoixeIrcFBfvlLxKz8rK38Ilgu6w5FrJmoXCaGeSzvZiX2xJ4cIAdm5QBF7Dh3zn/BI0dCc1yEXR0eBQG6shIe9IJpf1FKja8VsEqgSixXpCob9/p4Pe28UP5qY07nsxKyzwynLFmziIAVISuvHH7SliJ2yYRovyGmIzv9ES9ygBwgB5bHAYrYcex9ETsu9KYXsCFUfh8ZTnzfeMwR/993UXiQEsorK56tyqULERsVsybfWj0SI9in9TmfvYhZ+YqBPJ1dppiliK0lzXwTPLqJ6D+bjx04J+Q0OUAOpOYARew4xyqxWX0crvtmEbCXfKISdU3jqyeY1Ufyk/bditi4mOMYxXCywmz5T2N1vvI9WRGz+ElbfW0RxxSxFJkUmeQAOUAOkAMdcYAidlygVeJrKGK7+B7ryIf3ZBXxK6G7cvxF1fdeV6wIHBexp6ivP/hPbuHfa2Njarur1VNlEds2v2Ec9YR3/GsZXh6L79M/afsXt9yysJ+0pYjtaOFaxDsOxlj8jUnMiTk5QA5MwwGK2HG+jItYJd7m+Oi+8lkj+GRfHwndUjxXY6onwuW8KhE7+m6u7muIYfVDdEyFgxfT/Y5vldPk0+RxzKfha9e2ImY//pWbiyez8jdnU/+kLUWsJSHP+USGHCAHyAFyYEYOUMSOCyotHgWb0csVauNj6wTW6CP7BiE8ssGTTfUkc2UsdiUOx/7jlxGkl+jxqg79VDQ+phKxKpeJ8YaDo+tqTB1Gy+6XX/2SX/+SrxnIT9umErMUsYYky554xo9bxIgTcSIHyIEcOUARO87LMRF7/NVhJMTm+JNRIx91IlYLzpHgU2IVwrbY/1W/9qdEbNSTz6li9l/E4t4U8SoiVsRsip+0pYiliOUTF3KAHCAHyIGOOEARWy9iy6eWSsBN/LUAJSjV087xJ6ehEsJadKr5GxPO2o86roSpiqn9TSlip4upMBiJbFXXmMiu8ByJdzUGYjH3VsSsfL0AYrarn7SliFXEz50EzK+6mYkFsSAHyIEcOUARO85LLe5GH73rp5Zjgg2CUn0PFWJSCczKp7Ib7eXw4fwnKR135E/Zj/oi/4TXzDFnEbFVnpUAH8c6x/vB5rT2yXtHYlZ+0nZeMUsROyLhziODJQfPOYfkADlADiyXAxSx4/hXgnP8P1Tp/uq7qBBq4+IUTyBHIhjCduJJbghj3111nljCV/WXBxBT/xiCLzJr7y0tjqNi+v6r3MbrL+KqGCMcdrh+kZ+0lSezf/W318/8k7YUsTucBLU3Fevix6PkADlADiycAxSxcSL2kk8o8Sgf8xdPQdE3LuIgeCvxVolA+1SyEoLjonm0V44E8Eoov6aAmOo/neFrB44gHflR99b0Mav89VclKj/j9UtMYFD7J7hUPl6OOfd96H98pfjRBPl7s+/+7D9Ndc9SxO7gic+ZlMxtfCEnHsSDHNgdHKCInWeeISjHRVwp7sb/Jmwl6sb7+3mf+aK3b7XKL39tfv3q4idt5RfBYuqjiKWIjSJKDJloM8/izbHkDznQBw5QxM7DY0fE4snpxFNRJezUd1n7wCFbQ9MTWmvbh3MRsLd87SOFoPV+0vab/3TZSLdQxFLEjsjQB/Kzhnk2EI4lf8iBeTlAETsPhyBixz/at18ZGM0RBK58/D8hcufJI5+xlYCt+XpEjzWMfLVAvmLwla9/MMhXDmTeRcDiJecUsT0mwOhGZ40U6uQAOUAOLIQDFLH5CEDugf2Yi3d+9pvFf/6S/wQGAYunsUsTsRKYL2JADpAD5AA5QA6QA+QAOdDGAS1gcSxjPve5zy38tcJ3SP14h2TnMaysyPP9iZe143k/55/zynnd7RyQTXW3Y8D6uQ50zQHRFRCuupX7bRn/KGJ7/NEeRSwXsK4XMPojp3YKByhiydWdwtWdlqenLShieywml0lQS7Zl5sLY3FTIAXJgURygiCXXFsW13RjHaguKWIrYZB99abLtxpuNNXMzIwd2HwcoYnffnPM+X+yca21BEUsRm0zEyo0NsvEmX+xNTryJNzmwHA5QxC4Hd/J9d+EObUERSxGbVMTKwiJk4wKzuxYYzjfne7dygCKW3N+t3F903aItKGIpYikwyQFygBwgBzriAEUsReyixdxujkcR29HCtZtJxNq5aJMD5AA5UHKAIpb3Au+FxXGAIpYilk9gyAFygBwgBzriAEVsBwJG/5zsyu77udW5RfD7LgoPWnlkOPF9HcxFR/fF3DXV5EERWwNMKsDpt/83FeeYc0wO7F4OzC5irw6Pav0ly2eGU+bdswqB0+TH5uGIocJHzS9MPeyicP5YjhH+tP1EfjI+NgfHTvvu9HjKurzYE7V2c9+ccvxKWDn+6inemM5TS8TYqfgyHQYUsR6x2DcF+acjHDd34kUOkAN95sDsItbwonga2bUo2wwnPkzEZ52ILQXJg16wOdoDzn/BI8OKFZFDUfKoi03OE3tnpD89Tuo2AkxEmY5V5jTeJ5yq6++ebzPUpWssjtvmog3buutlbhqv5vrnqSVybDRf6mqq76eInSBWPVjNROA44kMOkAPkwG7nwLJFbPEUzvkIHv2SX52ILUTgxJPUUmxpYXtJpCiJ9qf34cK3FtkilJSYH37VoFakve+icGKruJ7vPp2pLlVjzFzY+6iIacS9tSnOC3w0fs21zlNL9NhIvrj1KNy86xSxLQB5oLGv+aYgPsSHHCAHdisHliNi8VRvJaxMiNBxLhbCw30SO/ThCKVCdGm/UaJkCn92Hx4K1VJw6yeuQ586Fzs2+fkcdZnc6udifM7kXipsnbmx95nM1dgbDhNz3H6eWqYYG8WXyZrHc/WvU8Q2TrAPWgywtCF25AA5QA7sPg4sVsSWH+cWYi9C4Agf64VTvSiZGDMUJRCZaMefjk7hL3ofnvz4eup7rCZ31CBtswjsrq4JXBtwiBOx5ql1g78St3lqmWJsDebjfJltrZD5Wsa/lamJ1zoZswHAPIgbOUAOkAPkQFcckE21E1/F00j1MbreA5UoaBZck/NaL5ymECU6l+Fx6dd5auqI6/ocJvMdx7IDEevkPh6jLYf5cNKxpsGhsHWwnPA31VPqeWqZZyzeTGm+tOHuX6eInZvQPrCaWDwmRuQAOUAO7A4O7FYRK/we/9rBfCLHv192j4jFmwLhU+1rTNSWeE++qRnOg/YzGjfPHM0ztlwLxvky2/pAEUsR281TA+JIHMkBcoAcKASHL8Cm3KSbnsSOcC5FXSFyRsKkOU790796URIrNsbt5vc3iePQ51RPGw0e6il2nTicFILaR3d11c+Fjvf/t3ctR3LjMLRjcQAbgKuchA8Tgm97cghOYHx0FL45Ch/ntsFoiwRBgiBIURLV+vSbqil1SySIzwPwxNZM0+vZnVhvV/8fdJFvt9iyZS7ZlOOltLmMfzkGJDYWg9I5PQ7EGPgNGAAGgAFggDHgmiq/3nTsIrHs90Ao3G7bDMFrESf7GsluEzunR0lqtslj29Qx/NFX9XnKZ/13guKP43r9lOyx/ZOuS/z4sY0blbnrUpZ8bevQZ8uWuRZepF69r0FiQWLHFFz4EX4EBoABYODJO7El4fG7W8a/2GJSYBMPllN+XE/j82dz3Rqa1NK6+bhff/vksW69x5qNpOv25yzn9ei0a4Zwt2PBMaGjH1slsaRPldg383KLLX1z+/GS2zwfh8nnG/6wqxng5U7tcTzGwK/AADAADNwPA8fsxM77kYmf00/+lsSHiEkao4npNP0K5CyNqf/vWSayaawhb00PNh8LGCS7S59+P2kf98cixbVJYn08lj5KkGR3xahKyPv9kDDQwovUa/61k3nED/47QVeSzAcQTRA+AgaAAWDgPBhwTRXxOE88XiEW1k7nK9jtbASJBZlEwQUGgAFgABgYhAGQWBDYpxJIvyP9zB3oc8UXJHZQ4XoqaKEzGi4wAAwAA6fEAEjsuUgOevO94wESi0ZwykaAwnPvwoP4Ir53xQBILLB9V2yf0S6QWJBYkFhgABgABoCBQRgAiQWJPSPZu6tOILGDCtddAQK7UJCBAWAAGOjHAEhsv6+AK/hqKwZcvn18fDz9F/+dAOQZOz/AADAADNwOAyCxIGZbiRnm92MIO7FoIrdrIigA/QUAvoKvgIGxGACJHetP4BP+bGEAJBYkFiQWGAAGgAFgYBAGQGJBulqkC9fG4gMkdlDhAjDHAhP+hD+BAWDgihgAiQVur4jbq+oMEgsSix0YYAAYAAaAgUEYAIldSGLVV9jqr2i9Krk6nd43/VKE65PYqwTmKnoOKuSnS2DYNfH3Y3/6/t8JCAt93/a8Lv9Nb/+k73pHg7MIAvlyd9/4GvaYHl//nAA/lh/Kc/wd9bv7RtSXPhKrv28+YdzNp99v079C7qqa6mPWkqP1ML75ieMe9WL9HtPjn/fpR6Zjhzw5vtDPze/VwRgnZQ99vdAuXtv0XSUextiRuPW5sCh3V9rMtrtjEd8yRz2ue8dJ2eH16Unsj++fQ0KLxHkIEHjjB4M53BmOBBAFc7CeRkBXFTrIuUxT3hZfKkqROO6B824sKV0q83zhLRplpRBWZGzz2fxaszVqi15dMSJfDq1Xhc7hZkI3QaPxPmR9zuT0NsWOcea6oUcovBCRFT0j02k+vkvx00di1bo+zqP7A98A1mwvc5CwrPQIvp7HV6c86X9nt8KUi5dci/NLnnMxqZ1fGq/58SvsCjY6HWO9DecIj8rHVp6Hc3r+vL4KW35dskH7sC5rvc1J5hz+WM/ecTw+P16ExOZJmIFgDxIrk2zU66voOcreu8q5dBzLwpQKTl4YzPNDbe/RhYpbf+HtsGEHXFIzbdSo3jVX+3dpg1ruJ8tGh5HuJv23jDfJVM28d5z3VU52TMx635dr18cu942WNZ7Ekv71m4NSZ+qRvPGTY5P19f5XhP/XX8q5jDh1+rpbnswHL1vq52wVmLDInZr/9rO0n20ccVxll9SxeOp5i9YAABqiSURBVF3i0ceriMU0+fOK5EubvG6N63Gs96P0c9tnW23uwZ/TrXdctKPw5eQ3OacDfrr/T6x3ZnFnL0CwuvC3g9hy2qprV9HTAMkqe+8q59JxFHmzJj5Dbe/RhcZckcSuenRjtX/39pNBbJr4KWPb2xR7x9EnW70kNuzaGSRhj9o2nsRSr6Je6IipIHnNOPBupUVewu6XQYAKQuVxOefrBfK0zoGoOr+535TvQeaT4mZjYYNd2s74vswPInM6TvW1WVePCSOGfJ2PTn52YxJ1sXhQfd0CG005Lfzl6xK2tf35GLZFHx1mjvjZjcSmROe70ErCq8R5/PN5+sTFwWomenwNOHocJ6WS2acngZ2T2x91Quv19PUayPQ81pPH6+uFvZyIf7JnFmOBVfNTYXLApLlffoZk4WetLN2VHP3RU5KV+8pMWC0rW491asnJr/l4RL8Y1zL5OiF5vRkfMG5+vk+fvJ8Enpv20HpUHDkX6Bh9w7J/C920zIgLw75o+zT90vMM25u6MO7iUfnF2c4yWe8en0gdvWyy49P3NbgVfop61go1r+OeP+ZYy/n6HL3Pct3pzrZyjPh9ZruW5dZJ/uPc66s5UsfwmtdkHYTtuqHQe9In4ox1KWIRdmI4rt3j+Fk7SXgMvaWei22YkSdlq9cuhrZfGjJ9/ojcVjIzeSLXOLbZdTG3Tg4CPoyYFHO87/Ia4mzM114gT+hX05vOaxw1/FeTWdFd5lnCqSV/vF3kXx3rsE7MBZ0blm6h9hgxzP3q/KjXs+XRvHE2F1iqxKl3XG4X2eBiecTPNhIbgOmTSBUn5wyZXJZz6JwKqiwiSiY1aDneDjLJVcn98xvdASmZ83paCezWTXcrlm09d0pNPR3IpC886Cx7Sb9IWgM4I1ERyVjKs+aGNZrzWnokv5Tr2UQj9xXr1JZTkApv93ysyuTj9QxcSR8ErEcCF/zcE/tyjNLTwGTRnBi/bl01nm0q1ykLcDlG6RLsYpl0pDEyn/35ik/KuLfwIv0uPtaSvi/ywC78pW3sK64Flh3GOcu/+pxpu5ZF7y3MSF+aeltx8H4QeWGNEedIrvSvFQfyZa5D77jkX0lGCuwKnewbCTueOQaXj3F6LJbRibVMLmOhIJRJ59y/6Xy8yTEIUH1Omk9jGN/u/ILYZXFJMjPb/BjCcZtktuaPuDbYLo6Z4ffYO3lT5zG/e+rjYMiSvvRjZF2b9f84m3uw5HTtHSft4tcu34742UBig4M5KLrI6wAV1yuJIYtINofWKxIpG+OSpSKX9SnGqwTT1/17WSTUeHN3h4u7bCD2vMIe1jMUo+K61q9mr9XwClvIV7KhekDKGCzUI5PVu15mk6FTIafiX2tc9Kf2P7831nNzMh9U1uuKvSWfzsXYGvbHa5b+2fgZO7KxHbpY63XZyXpszNMu3PJa+bEswKpGmXYYPsl8FtbQ5/R77zcpi16Xn1jkOvt8M2WV4xY1QS9T/weD4A+j2ea+6x1X6ujsIVm1mlnBh4k7Wz43zbnjK5BY54N8E2Bb7GyfEpabNWmH+OW6DLSLc4O5i9A992XAn69JeS4xxh3Gqr9ZntVwH+yScuK8cTbn+V3Pq95xeWxI3kVIrAqYBIFRiMs7GkHqjPHeMZI8ZGNkg5BBUOcDQDMyJUBq7WI19eQiEUGmdkLCejaQhb1SB/d6Tk+z4Tq7lb3hfVFgLDJQmVv4KtNNr8e+1+f1e0PXLl91yIn+K/2bx1LFSsfAv7fWM+LjdVfr9dhjzdMxk2OCzCImUnc5ns+HeU0cWvO0LiwvO7Z8pHxSYKyNl3W4ZZn50WwsskaZuhm2WX7S5/R77y+WRccWgc1x6uqq9mNum6uN3r7MnnKMr6FeN/HYR4xlb1PsHVdZn2umqSvJLuIedazLtBpn65zLhdZ185rsP3M6Mblp7MDyGnVyUPe1x4jpw9xH+bjt8ljndAwyO3RJc3Idud/Z9Yl4RRsTg+yq5obTl/LW0qMeP7LTX4/kU9nucOTX7elHcu4gm7l2FH/TJNcSdnSMs+LsYnvEz4adWOWArKiHIi5Bn13noBqFWxaRbA43CLWubkx+Tm0XQK/boacoZARkJvIBkJmOWrfG+zk9tV1RD+0Hel8k3mlJrBHzaJvzl7avcm7G72assnU4NtZ6jBOBI2s965xewxyjYibH+NdiXS3PvZfj+bp1jq/x0RyjdOGx2bHlIx3PytgirpV1u3DLscuPc41mE7a07/R77y+yKTVq7ZuE5ewRA1NWbptrGt4+WVOzGIXxXpZFYN313qbYO67UkZtbTqzkOJJd1CvLlo3n9iKxqbZY8ZW2ptctbNrXev1UxmqbvKQzx9IfA2Gv3lz/fp+e8t8JCoLV6yf+dC3fUc1sDDXKwqbt0+Qrf71BYueu53oouVtsDjk0pz+v3zuOx8vjvUisL6TqrkMX6lBsi6SoktgKWLXcBhC9w+V4/3pGT6uQZrpXmrE1Lzs3N2+jvV1kgHSwY8B+WaZHLkvLn7PZJa+eUzkn45j5NRWAFO8WKbTW44LHPqgQxzmsOb0yrLBuyg+ZLeqaZVs2viKzOk/7omM9MyZsm27ky/BSNIwu3LLN+XG+AFuxNs5Z/tXn9Hvv71wW7bYq//h5AlcRI2qcFT/TN8IH/nqrSfNH/Wp945Eh25eV2Ba60jh7Jzr3kWyCo1+PJ7Gk+5J/scU22f7k2JFcmQs0PseEw5Mc42SbGDPqkiWPdes90lq6fjCmyvO9cvvH9fmJHgXL9SH783PWuuY4n7Ol7+V8P69KYrdgfr3NhX4FGWb8pSPZr+tDui5l6tf3IrFF0wtFTX1k5pMi21lQ43Sj8EVaJrZdLCkQchyREl8AMpkaXGp9bjCZjkxwknwT+L4xpDE64O59U0+3dpe9Jcj9WmbD0/bq90xMVMIu0KNNYtlmXUyc39lXhk4FnlxSGXa72M7EqoyDsZ5VtDLcpKTuib3GOc+JDUnJnsWFZXvEU8u3+vm5FI+oS0FIkq/z2DJWOG7JJ/vjVqwl9CW/tQpwWS/sxlzBlqxfKmaEqxJLJF/6SI8xao6wKcOruSb5gjFVxKiQVdpm4s3AmDXO2aexU9os4tWwIbO10FvI6Lw2nsQu14Hx5XSRv2WcKC5pjMRMWNfX4VxOnVB3yOv0YxYXHz+tg6HrGtldczrsCn5KPuYc03rze1UzDD8nWTYGfG7USKyXp9bospXXWmMzze3FX++4DAvKBofdI352epyACRiD5PP05v8VjQa7Btfn6e37t/R8mFXwNMCawOH16eiBqGVm8iw9tY5OlraDG3q+XvaRoQp4BEO2vtCTx+vrhb0EcN1IiEjoxKGxKSF1ctD6hSynS6ceSbZLIr1eSEqrEEbyac2xzimdvF86Y8W+9cdOH2jcSBlNe5IfuEF9+v4+fZF/8WrJ1v7Wz93J6xITW3WRdsXXFf9bevMcqZ9r4FJHP4ZkFljz8+ZwG3DEa4UjkSw9V41V/vnys2Kb1N/prm3V74VNeQ7wbpnwgZTtaolZG5XeXj7hu/AZPyagiBLjrSQ6GvNGPRP2JDnGuMwWrn/1GPgYxVy3bBx3zukd62zACN6P8y982edLRxDLnO2beyUfu3w74qebxD7NmWYTu1/An+bPZvGuNPDmnLvFAj44Bxbvhqt97Oki6qfNX8q1ZzV0kNh9MIh6scCv5s3ugvmnzeXSBpBYH6ywk1bs2pQOQyKN8AkIXHW3+ELFA7kwIheuIuO6NZI+sqzv0o7GMUjsVTANPUdj/wh5r0lijY+innWXfkSQz7cmSCxILBrI+fJyJib8SMSFbvb5mTv9qMWevgeJncERbtTxuMlADLwmiR3owD2LIWSjGAIDwAAwcC0MgMReK17Ir2vHCyQWhBZ3hcAAMAAMAAODMOCaKn7hA2DgeRj4+PiYnv17vj/sGlTAcFd37bs6xA/xAwaAgS0YcORly3zMBf6AgX4MuHw74gckFqQZhR4YAAaAgdthACS2n4CArMFXWzEAEosmcrsmsjUpMB+FFRgABtZiACQW2FmLHcxbjh2QWJBYkFhgABgABoCBQRgAiV1OREDe4LO1GACJHVS41gYA85C8wAAwAAzcBwMgsfvG0v/btAv9m7f+3H7ul3L067VvPLfqARLbQWL5fw06Z+W/xtchdsjbGjQ3/4w6jbBrDxmn9JXxv4ojtp709Zh7+HqNzFPGJ+YxNZYYm1ADXu7/SvP/iFU18OX8EHFRb+wOK2vy4OXnGDXRwpevFyCxwFjIRZdvR/xc6g+7fNKcjFicUaezFuFT+gpfcxyL8Cnj83ea6KtWH1Pxj/KZ0J2sJuyVfz4+nrzmN+18vvBPB9HbS9czyAWJrRN8Oz7h2+AeOb74C2EeKs887kBiY/20fbo0BtcdDxLbUXDP2GTPqNNZk+mUvgKJjUX4vPExCGysF/9Nb1/fpx/x/XWbQCtvmci7RmGRVXfdOt+SefdrILHLcoEwpgksyyg/Yvf1AiQ21s+759OcfSCxHU2ot8nKgu8c639jsvFXreYfT1ofl8wFzV3v1alH1t3H9PrqmfH7BRIbi/D54hN2hmLuckN9taOsVd+mfztqpZVDusb5eLv66HbYeFc71EsmxHEMj4tr866dm/9t+vKPfMSrRoSeGzeQ2CX+ns81XR/8+69/1CN1Gp8SuwEjakeXarDAj77usfl5evv5Pn3y+Pw8vX3/Nj2KHeNp+hVwzPj1PVU/HqHlcx8P2GfOoPPl7v15q33Ob0f8XO9xAgU0AlwqmlS880TiZKMgcVKJMR7kScaSYGZFPtNtnbwla19tbI+vnh2/ooDGGAp8xMa9pClcb+z54kO5+vLNRBJMowHrOhDjGMcKwiluCOI4h/kwVpNfIgNcMx9TioWQGcmEPHd8/oDELqlBHbmm+iTjJxHGEP+IO0umG5OwUa33UUYipoxRwrslmx89Wia/1MGWrfMM73N8gcR2EAWfNBLcxRwCX0oqcrKfF4u3Mca6eytk5wFjAM/rZM/j+a90nPeVERu+S94pftiJTfg8X3zsZqKJVt7ckj23yS1JYmMeVOwUYxPh5ObudrvSzbWPtyCw3l9i1yrVUUFOY/21zk2TvClM8yu6dtbYtXEEiV3g954eaJFYjUc5ZlamXe9pNzXhtHgfcDNPPnvkW2PsurMWh68yDyS2o6DNNlmfNAL8QaafF5OtDto1RXdWpw67XgXks746IH4gsanRnS8+881kVuc75F8gA65JzBJ2k4Tm5JLJrfedlmnOtwirdc5e56j6BhKbcns+BvO5RrUy9VePn9hXw1qKuEaMOZw90g6p10fi2l8XjxSIm60aiS0eHZAE2uV9j3w/JtlEfurwxR3qymAbQGI7HDrbsExAhudWY7KBxM4XtCXFr3/sGeMHEpvid774BKIUd/+SrozhWZ076grLOu+RapYnsZoIaPtMEmqTS+87kNj4TPh541/ifryuIddinyzX1Lnm3+vxgTjqDaH805NAZiv9urCtMU7qVOjTmBfXMMeAxEb/6PrSeA8S23AOO1QCls9lRw/I8q93c3CDxGY+6/D7qPFnjB9IbGpW541PmdOMyVmdn4hv1mmPoyQBmiC49dx1fz7UQNdQeMeVrxMJTrtO3neDSWzSk9ep7Ng+IS7O3j1icVeZFDuOW6oLZG9J7Dx+NIn1N1Fqx1XGOuvRpUzTtybRDPrx7qv/oy+te4f8TB+2uWOetAmvfZ6BxHYAoadhFWO4qMdkI4DmjcA4F3Y08nEM8nQs1uuww0zUF5jX46tizM7xA4ldhuWnx4efiVakjHJofqf2PrkmyKD8qFX4h2uVj1FGTsXcWAfFF7XInW5zJ1fMj2Otc1RHPVmO61jjEub2jA9I7FI/c6xsMqgfZfE4i3F2ayny52p3xEvQhUnnb3rPNz2M3ZTXQgffA8T7rFeyzvajNj3ydU3jOfImcE+c3kU2SGwGTDv5YnFuPT/zV4A6FPK3r4/pEZPNIKwh+bJEWkJiC33yP6C4C0i32nHG+IHEplw7ZXxiXRAESeTbyzUaQTI9WQy+0H7gRtwaE+MtiYaQn+qhqKlxrDgn4uHXi7XWYUuMi3MT5rbWlNZ8p0vrOq5V4iAwwPjR+HK+i/gR8c/HidjHMQYZ5Y2KOEYR0iaJTX+0mPCq7JqTH/p/svV9+mLeNCu5sTbhvMOD898RP5f6F1tri45PtqywAnRrfXnEPMTv3HhFfM4dn31yVhCUJ5PTXntAYl8Rl7C5Nz9GjwOJ3fGuBk322omN+J07fojPueMzulmRPJDYffz6iliCzXfAEkgsSCw++qpgACTp3EUe8Tl3fPZpkCCx+/j1FbEEm++AJZDYCoG5Q3BhA4oUMAAMAAPPxQAeJ3iuv4Hv1/Y3SCxILHZigQFgABgABgZhACT2tUkVSPVz4+/y7ePj4+m/L/GHXQDzc8EMf8PfwAAwcDQGQGKBwaMx+ErrYyd20N33K4EGtqJIAwPAADBgYwAk1vYL8AK/7IEBkFiQWHyMCAwAA8AAMDAIAyCxIGt7kDXItHEFEjuocAFgNsDgF/gFGAAGXgkDILHA+yvh/WhbQWJBYrEDAwwAA8AAMDAIAyCxILFHE7tXWh8kdlDheiXQwFYUaWAAGAAGbAyAxNp+AV7glz0wABILEosdmE0YOP8/X9+jcEAmGhIwYGMAJNb2y654+f0+fXo8pseKr3k/05emeF0ej+nLzwN8uKkPHqcvSOyugRMExyXYSb/re9fisqt/906cnviJMYjvMTdE3MBcjsXfz9Pb773xAflUO/5MX6LfZQwe06fv/x2DiQPrDkjsfF78+P7Z7If+/GISF2pwjcDG+mDXhGEkdmad3j5LRPbb9O+BGO7V9QzjQGL3BEoENRd2O4nOAAToYBTerviBxB6JHd65eDxk0RekqtbY9sz7F5LNpMM1kmz3KOaOjIuRYzf0FUjsfJwtEktYWt4jaV4dZ7TWZ79Ta91UjSKxc+v010mqX5au/TLmY3AXWSCxOxbR1GCZxL7mzsRVk6UvfiCxR8WXmhflVkagXE7//BZ3ZdEMdmpokajWPmVyuVEnF0fhZu91QWLn8UaE7336wf035GuRx3y9eqT6W8/xdN3Xc+PTsjEkdn6dJbgr/FO1f97XS9a94liQ2N3AIXeD3qe3f5jI6qIux/2ZZGPOd5cA1ucmmIxLK35UvFwiucdF/nUfk8WPVpfvKjzXxitjSsQn24Vlm6zrIlZfRa5ht3bdR/6zJJZj4Y4iHoJIpBvFVBfjOTdOriF2e+OYkHeRDO1Wz6Ut7dcgsW3/uBqXkbQQ4zoRbcjzcxt1Vl73RLkcyyQ2w5RZUzr1MNch/H/5KfLg0djUknqfANNn7ksgsXsBROwEubtLSU7zu00L1HmzPTOAbqtbd/xErGJRkudSc76tr/bKoZbc0Pj45qEkMTIG3LjkOb6pXPfHIIila+gVf5oEQNS5XhIrCKqsny7mVEOTzFUEqIWvDddAYhtkL/g1kViK4er4+Tpdr7FpHaeTvRaT19SXA64FTufyfX4dxqrQ1SS77Dsan3Ti8zjqWIDEbihW2pnyPSdG3E2VTTfb+WFw5820mL+TnlJnvE4FovB/NX6ikcuip0gwfJt8O8QX1XikdVIMDRKb5WCaM0S3l8pVUb/iJxDpBiGREzFO5EmKUWru8ZwYJx8PSY29knsH+x8kdj6fiPTRc6qPB+fn/Dydnzl51PMJHwmD0+SxJXH1N5zT9aBJMNesY5DSUMMSnqXcUndtO96Tv0Bi9yh4ZoMVBTfbqRDFXSRSLOTZWAlyvN4tiRfFT8RVFkdBYmUR3U3nPXB8ZpkyRtLvUWcRl9gkxTmRa4jJoFoiMO8aC/9SkxZ1TsTLqnPxnBgHEjsoRjE/jpXnyaf/5OpPeNQu3cQsyccmifU1QhFk45zHm64Hob4QdkXdYFzL8YbMX8U5g8SGnWGQ2G1YBIndIak5QbmIW8dEbERxF4kRCzlI7Lrn9TbEdVn8RIGrNN0U623JuqS433+syBszR6zrIlYi1+7vq+fjTuYQ4V/EQ+SJVefiOTEOJPb5MdwzL3LyGbAh4+3rt8CMRR71s7Wq5ksMFj1Y5P88iW37vm8dsiUnrNY5XotqFXoH+6N+BIlVwN+euKJR6uYa7u58QsWEFYmqE8sn7ro71O121EFzb9lL4yfGx5jKZ6DVTsBwvL1qnKSP+RlJ4QuxK5gagYiVyLV741n4ZDT2nI8rfpSNvdjNEnkSCauolfGcGAcSu2McR+OiQ15OYqeJdi7zR+roGda8/xWE0+d5Pobymfpqyv3kP8JmmlPIdPpX5SY5y9axCKt1juW3rvEYHF0MQGI7Em5Rk5NE1SjwsUDHjzgJrJ7YivFpXEq2RXqMtutV5C2OnyBGsenaMUX8xhddO09q/hexErmGuKyMS7xR0Ddqtv+tWDXPxXxiUkGPKKTdLBFPOfbgWuVqOTDVxlRBYl3MAp4S8XQ40v3PxVzgrfjYPqzrZYlxEhOhxjOOPAazekD4TXo0bOleh2TymoQP61xYq2aXtAOvfZ6BxA4GQirKxu6QWysWfr7rJCCDxDYKxeAYtRrM8viJRsofefExK4znsK9l+2WvyRsP9n28SZR+F7FCbIYQLbnj6mtY0/+i1sVx/OxsIisxByUxFXUzEQERTzn2ifXCyhmQWJlz9muTxPLjAQ4bPj8dXhIu2NcOHxoDmnB6DFUxEXATakDEm8Cklsdr62P/OhZhtc6Rv2r+0evjPXZihxRyAMkuVPAL/AIMAAOvhgGQ2FGYt0isI6D5DivdSJVk97q4I3LbS6Sva+cYnLh8O+Ln8eqOh/1jAAw/wo/AADBwJgyAxI7CY0li/c5n8SlKvrN6Jiys0YV2hu9EykfhwZYDEnvwR09rQI45NpjhF/gFGAAGjsYASOwoDNKOpPNn/C0IbFiLHymqXb9In+dHG9LjEqN8eV85ILEXAffRhRnr37cIILaILTAwDgMgseN8CVzCl3MYOIzExjsreZeF1+mOE76AL4ABYAAYAAaAAWAAGGhi4OPjY3r2L56JxQ4w/qgOGAAGgAFgABgABoCBTRg44g+7/gdFwn6+pg1rpgAAAABJRU5ErkJggg=="
    }
   },
   "cell_type": "markdown",
   "id": "d5c3a24c-2ee0-4714-8437-9f4cc77c6a7f",
   "metadata": {},
   "source": [
    "### Equilibrium tests\n",
    "- We can also calculate equilibrium tests following the methods described in the supporting information of Putirka (2008) (Fspar-Liq spreadsheet)\n",
    "- By default, no filtering is done, but specifiying eq_tests=True calculates the relevant equilibrium parameters, and then below we show how to filter outputs with different values of these\n",
    "\n",
    "![image.png](attachment:2b16dba9-abcb-4fa0-9a9f-4a1a73444fe0.png)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4a6ca23e-0bf3-4325-bfb9-cf0fd3aee9b3",
   "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>T_K_calc</th>\n",
       "      <th>Pass An-Ab Eq Test Put2008?</th>\n",
       "      <th>Delta_An</th>\n",
       "      <th>Delta_Ab</th>\n",
       "      <th>Delta_Or</th>\n",
       "      <th>Pred_An_EqE</th>\n",
       "      <th>Pred_Ab_EqF</th>\n",
       "      <th>Pred_Or_EqG</th>\n",
       "      <th>Obs_Kd_Ab_An</th>\n",
       "      <th>SiO2_Plag</th>\n",
       "      <th>TiO2_Plag</th>\n",
       "      <th>Al2O3_Plag</th>\n",
       "      <th>FeOt_Plag</th>\n",
       "      <th>MnO_Plag</th>\n",
       "      <th>MgO_Plag</th>\n",
       "      <th>CaO_Plag</th>\n",
       "      <th>Na2O_Plag</th>\n",
       "      <th>K2O_Plag</th>\n",
       "      <th>Cr2O3_Plag</th>\n",
       "      <th>Sample_ID_Plag</th>\n",
       "      <th>Si_Plag_cat_prop</th>\n",
       "      <th>Mg_Plag_cat_prop</th>\n",
       "      <th>Fet_Plag_cat_prop</th>\n",
       "      <th>Ca_Plag_cat_prop</th>\n",
       "      <th>Al_Plag_cat_prop</th>\n",
       "      <th>Na_Plag_cat_prop</th>\n",
       "      <th>K_Plag_cat_prop</th>\n",
       "      <th>Mn_Plag_cat_prop</th>\n",
       "      <th>Ti_Plag_cat_prop</th>\n",
       "      <th>Cr_Plag_cat_prop</th>\n",
       "      <th>sum</th>\n",
       "      <th>Si_Plag_cat_frac</th>\n",
       "      <th>Mg_Plag_cat_frac</th>\n",
       "      <th>Fet_Plag_cat_frac</th>\n",
       "      <th>Ca_Plag_cat_frac</th>\n",
       "      <th>Al_Plag_cat_frac</th>\n",
       "      <th>Na_Plag_cat_frac</th>\n",
       "      <th>K_Plag_cat_frac</th>\n",
       "      <th>Mn_Plag_cat_frac</th>\n",
       "      <th>Ti_Plag_cat_frac</th>\n",
       "      <th>Cr_Plag_cat_frac</th>\n",
       "      <th>An_Plag</th>\n",
       "      <th>Ab_Plag</th>\n",
       "      <th>Or_Plag</th>\n",
       "      <th>SiO2_Liq</th>\n",
       "      <th>TiO2_Liq</th>\n",
       "      <th>Al2O3_Liq</th>\n",
       "      <th>FeOt_Liq</th>\n",
       "      <th>MnO_Liq</th>\n",
       "      <th>MgO_Liq</th>\n",
       "      <th>CaO_Liq</th>\n",
       "      <th>Na2O_Liq</th>\n",
       "      <th>K2O_Liq</th>\n",
       "      <th>Cr2O3_Liq</th>\n",
       "      <th>P2O5_Liq</th>\n",
       "      <th>H2O_Liq</th>\n",
       "      <th>Fe3Fet_Liq</th>\n",
       "      <th>NiO_Liq</th>\n",
       "      <th>CoO_Liq</th>\n",
       "      <th>CO2_Liq</th>\n",
       "      <th>Sample_ID_Liq</th>\n",
       "      <th>SiO2_Liq_mol_frac</th>\n",
       "      <th>MgO_Liq_mol_frac</th>\n",
       "      <th>MnO_Liq_mol_frac</th>\n",
       "      <th>FeOt_Liq_mol_frac</th>\n",
       "      <th>CaO_Liq_mol_frac</th>\n",
       "      <th>Al2O3_Liq_mol_frac</th>\n",
       "      <th>Na2O_Liq_mol_frac</th>\n",
       "      <th>K2O_Liq_mol_frac</th>\n",
       "      <th>TiO2_Liq_mol_frac</th>\n",
       "      <th>P2O5_Liq_mol_frac</th>\n",
       "      <th>Cr2O3_Liq_mol_frac</th>\n",
       "      <th>Si_Liq_cat_frac</th>\n",
       "      <th>Mg_Liq_cat_frac</th>\n",
       "      <th>Mn_Liq_cat_frac</th>\n",
       "      <th>Fet_Liq_cat_frac</th>\n",
       "      <th>Ca_Liq_cat_frac</th>\n",
       "      <th>Al_Liq_cat_frac</th>\n",
       "      <th>Na_Liq_cat_frac</th>\n",
       "      <th>K_Liq_cat_frac</th>\n",
       "      <th>Ti_Liq_cat_frac</th>\n",
       "      <th>P_Liq_cat_frac</th>\n",
       "      <th>Cr_Liq_cat_frac</th>\n",
       "      <th>Mg_Number_Liq_NoFe3</th>\n",
       "      <th>Mg_Number_Liq_Fe3</th>\n",
       "      <th>P</th>\n",
       "      <th>T</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1408.019018</td>\n",
       "      <td>High T: No</td>\n",
       "      <td>0.101016</td>\n",
       "      <td>0.152353</td>\n",
       "      <td>0.029108</td>\n",
       "      <td>0.518145</td>\n",
       "      <td>0.401303</td>\n",
       "      <td>0.000107</td>\n",
       "      <td>0.510102</td>\n",
       "      <td>57.3</td>\n",
       "      <td>0.09</td>\n",
       "      <td>26.6</td>\n",
       "      <td>0.43</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.03</td>\n",
       "      <td>8.33</td>\n",
       "      <td>6.11</td>\n",
       "      <td>0.49</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.953660</td>\n",
       "      <td>0.000744</td>\n",
       "      <td>0.005985</td>\n",
       "      <td>0.148545</td>\n",
       "      <td>0.521768</td>\n",
       "      <td>0.197164</td>\n",
       "      <td>0.010404</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001127</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.839397</td>\n",
       "      <td>0.518464</td>\n",
       "      <td>0.000405</td>\n",
       "      <td>0.003254</td>\n",
       "      <td>0.080757</td>\n",
       "      <td>0.283663</td>\n",
       "      <td>0.107189</td>\n",
       "      <td>0.005656</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000613</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.417129</td>\n",
       "      <td>0.553656</td>\n",
       "      <td>0.029215</td>\n",
       "      <td>49.1</td>\n",
       "      <td>3.22</td>\n",
       "      <td>14.4</td>\n",
       "      <td>14.8</td>\n",
       "      <td>0.14</td>\n",
       "      <td>3.20</td>\n",
       "      <td>6.72</td>\n",
       "      <td>3.34</td>\n",
       "      <td>1.70</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.13</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.549988</td>\n",
       "      <td>0.053436</td>\n",
       "      <td>0.001328</td>\n",
       "      <td>0.138640</td>\n",
       "      <td>0.080652</td>\n",
       "      <td>0.095052</td>\n",
       "      <td>0.036269</td>\n",
       "      <td>0.012146</td>\n",
       "      <td>0.027130</td>\n",
       "      <td>0.005358</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.478739</td>\n",
       "      <td>0.046513</td>\n",
       "      <td>0.001156</td>\n",
       "      <td>0.120680</td>\n",
       "      <td>0.070204</td>\n",
       "      <td>0.165477</td>\n",
       "      <td>0.063141</td>\n",
       "      <td>0.021146</td>\n",
       "      <td>0.023616</td>\n",
       "      <td>0.009328</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.278194</td>\n",
       "      <td>0.278194</td>\n",
       "      <td>5</td>\n",
       "      <td>1408.019018</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1423.834489</td>\n",
       "      <td>High T: No</td>\n",
       "      <td>0.089866</td>\n",
       "      <td>0.102459</td>\n",
       "      <td>0.027941</td>\n",
       "      <td>0.542990</td>\n",
       "      <td>0.416085</td>\n",
       "      <td>0.000391</td>\n",
       "      <td>0.455475</td>\n",
       "      <td>56.5</td>\n",
       "      <td>0.12</td>\n",
       "      <td>26.9</td>\n",
       "      <td>0.47</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8.95</td>\n",
       "      <td>5.66</td>\n",
       "      <td>0.47</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.940345</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>0.006542</td>\n",
       "      <td>0.159601</td>\n",
       "      <td>0.527653</td>\n",
       "      <td>0.182643</td>\n",
       "      <td>0.009979</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001502</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.829506</td>\n",
       "      <td>0.513989</td>\n",
       "      <td>0.000678</td>\n",
       "      <td>0.003576</td>\n",
       "      <td>0.087237</td>\n",
       "      <td>0.288413</td>\n",
       "      <td>0.099832</td>\n",
       "      <td>0.005455</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000821</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.453125</td>\n",
       "      <td>0.518543</td>\n",
       "      <td>0.028332</td>\n",
       "      <td>49.2</td>\n",
       "      <td>3.89</td>\n",
       "      <td>15.3</td>\n",
       "      <td>13.7</td>\n",
       "      <td>0.12</td>\n",
       "      <td>3.88</td>\n",
       "      <td>6.76</td>\n",
       "      <td>3.44</td>\n",
       "      <td>1.22</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.545500</td>\n",
       "      <td>0.064131</td>\n",
       "      <td>0.001127</td>\n",
       "      <td>0.127030</td>\n",
       "      <td>0.080306</td>\n",
       "      <td>0.099965</td>\n",
       "      <td>0.036975</td>\n",
       "      <td>0.008628</td>\n",
       "      <td>0.032442</td>\n",
       "      <td>0.003896</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.474569</td>\n",
       "      <td>0.055792</td>\n",
       "      <td>0.000980</td>\n",
       "      <td>0.110512</td>\n",
       "      <td>0.069864</td>\n",
       "      <td>0.173933</td>\n",
       "      <td>0.064334</td>\n",
       "      <td>0.015012</td>\n",
       "      <td>0.028224</td>\n",
       "      <td>0.006778</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.335475</td>\n",
       "      <td>0.335475</td>\n",
       "      <td>5</td>\n",
       "      <td>1423.834489</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1420.063528</td>\n",
       "      <td>High T: No</td>\n",
       "      <td>0.117189</td>\n",
       "      <td>0.110312</td>\n",
       "      <td>0.022764</td>\n",
       "      <td>0.535451</td>\n",
       "      <td>0.447991</td>\n",
       "      <td>0.000671</td>\n",
       "      <td>0.500004</td>\n",
       "      <td>57.6</td>\n",
       "      <td>0.11</td>\n",
       "      <td>26.3</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.07</td>\n",
       "      <td>8.50</td>\n",
       "      <td>6.27</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.958653</td>\n",
       "      <td>0.001737</td>\n",
       "      <td>0.006959</td>\n",
       "      <td>0.151576</td>\n",
       "      <td>0.515884</td>\n",
       "      <td>0.202327</td>\n",
       "      <td>0.008493</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001377</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.847006</td>\n",
       "      <td>0.519031</td>\n",
       "      <td>0.000940</td>\n",
       "      <td>0.003768</td>\n",
       "      <td>0.082066</td>\n",
       "      <td>0.279308</td>\n",
       "      <td>0.109543</td>\n",
       "      <td>0.004598</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000746</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.418261</td>\n",
       "      <td>0.558303</td>\n",
       "      <td>0.023435</td>\n",
       "      <td>49.6</td>\n",
       "      <td>3.79</td>\n",
       "      <td>15.8</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.14</td>\n",
       "      <td>4.26</td>\n",
       "      <td>6.59</td>\n",
       "      <td>3.65</td>\n",
       "      <td>1.04</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.63</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.547269</td>\n",
       "      <td>0.070071</td>\n",
       "      <td>0.001308</td>\n",
       "      <td>0.119955</td>\n",
       "      <td>0.077907</td>\n",
       "      <td>0.102731</td>\n",
       "      <td>0.039042</td>\n",
       "      <td>0.007319</td>\n",
       "      <td>0.031455</td>\n",
       "      <td>0.002943</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.475045</td>\n",
       "      <td>0.060823</td>\n",
       "      <td>0.001136</td>\n",
       "      <td>0.104124</td>\n",
       "      <td>0.067626</td>\n",
       "      <td>0.178348</td>\n",
       "      <td>0.067779</td>\n",
       "      <td>0.012707</td>\n",
       "      <td>0.027304</td>\n",
       "      <td>0.005108</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.368736</td>\n",
       "      <td>0.368736</td>\n",
       "      <td>5</td>\n",
       "      <td>1420.063528</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1386.731667</td>\n",
       "      <td>High T: No</td>\n",
       "      <td>0.021553</td>\n",
       "      <td>0.029279</td>\n",
       "      <td>0.049656</td>\n",
       "      <td>0.470193</td>\n",
       "      <td>0.472391</td>\n",
       "      <td>0.000034</td>\n",
       "      <td>0.461028</td>\n",
       "      <td>57.2</td>\n",
       "      <td>0.16</td>\n",
       "      <td>27.0</td>\n",
       "      <td>0.62</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.06</td>\n",
       "      <td>9.03</td>\n",
       "      <td>5.58</td>\n",
       "      <td>0.84</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3</td>\n",
       "      <td>0.951996</td>\n",
       "      <td>0.001489</td>\n",
       "      <td>0.008630</td>\n",
       "      <td>0.161027</td>\n",
       "      <td>0.529614</td>\n",
       "      <td>0.180061</td>\n",
       "      <td>0.017835</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.002003</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.852655</td>\n",
       "      <td>0.513855</td>\n",
       "      <td>0.000804</td>\n",
       "      <td>0.004658</td>\n",
       "      <td>0.086917</td>\n",
       "      <td>0.285868</td>\n",
       "      <td>0.097191</td>\n",
       "      <td>0.009627</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001081</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.448640</td>\n",
       "      <td>0.501670</td>\n",
       "      <td>0.049691</td>\n",
       "      <td>47.1</td>\n",
       "      <td>4.21</td>\n",
       "      <td>12.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>0.18</td>\n",
       "      <td>3.40</td>\n",
       "      <td>7.28</td>\n",
       "      <td>2.93</td>\n",
       "      <td>2.02</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.32</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3</td>\n",
       "      <td>0.521269</td>\n",
       "      <td>0.056096</td>\n",
       "      <td>0.001687</td>\n",
       "      <td>0.164747</td>\n",
       "      <td>0.086327</td>\n",
       "      <td>0.078262</td>\n",
       "      <td>0.031436</td>\n",
       "      <td>0.014260</td>\n",
       "      <td>0.035047</td>\n",
       "      <td>0.010869</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.459338</td>\n",
       "      <td>0.049431</td>\n",
       "      <td>0.001487</td>\n",
       "      <td>0.145174</td>\n",
       "      <td>0.076070</td>\n",
       "      <td>0.137927</td>\n",
       "      <td>0.055402</td>\n",
       "      <td>0.025132</td>\n",
       "      <td>0.030883</td>\n",
       "      <td>0.019156</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.254001</td>\n",
       "      <td>0.254001</td>\n",
       "      <td>5</td>\n",
       "      <td>1386.731667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1392.393338</td>\n",
       "      <td>High T: Yes</td>\n",
       "      <td>0.021115</td>\n",
       "      <td>0.029107</td>\n",
       "      <td>0.028064</td>\n",
       "      <td>0.448856</td>\n",
       "      <td>0.530743</td>\n",
       "      <td>0.000329</td>\n",
       "      <td>0.369633</td>\n",
       "      <td>56.7</td>\n",
       "      <td>0.14</td>\n",
       "      <td>27.6</td>\n",
       "      <td>0.69</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.11</td>\n",
       "      <td>9.46</td>\n",
       "      <td>5.58</td>\n",
       "      <td>0.48</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "      <td>0.943674</td>\n",
       "      <td>0.002729</td>\n",
       "      <td>0.009604</td>\n",
       "      <td>0.168695</td>\n",
       "      <td>0.541383</td>\n",
       "      <td>0.180061</td>\n",
       "      <td>0.010192</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001753</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.858092</td>\n",
       "      <td>0.507873</td>\n",
       "      <td>0.001469</td>\n",
       "      <td>0.005169</td>\n",
       "      <td>0.090790</td>\n",
       "      <td>0.291365</td>\n",
       "      <td>0.096907</td>\n",
       "      <td>0.005485</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000943</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.469971</td>\n",
       "      <td>0.501636</td>\n",
       "      <td>0.028393</td>\n",
       "      <td>48.1</td>\n",
       "      <td>3.88</td>\n",
       "      <td>13.2</td>\n",
       "      <td>16.4</td>\n",
       "      <td>0.16</td>\n",
       "      <td>4.02</td>\n",
       "      <td>6.51</td>\n",
       "      <td>3.36</td>\n",
       "      <td>1.36</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.59</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "      <td>0.531999</td>\n",
       "      <td>0.066283</td>\n",
       "      <td>0.001499</td>\n",
       "      <td>0.151693</td>\n",
       "      <td>0.077147</td>\n",
       "      <td>0.086033</td>\n",
       "      <td>0.036027</td>\n",
       "      <td>0.009595</td>\n",
       "      <td>0.032280</td>\n",
       "      <td>0.007444</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.467035</td>\n",
       "      <td>0.058189</td>\n",
       "      <td>0.001316</td>\n",
       "      <td>0.133169</td>\n",
       "      <td>0.067727</td>\n",
       "      <td>0.151055</td>\n",
       "      <td>0.063254</td>\n",
       "      <td>0.016846</td>\n",
       "      <td>0.028338</td>\n",
       "      <td>0.013071</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.304076</td>\n",
       "      <td>0.304076</td>\n",
       "      <td>5</td>\n",
       "      <td>1392.393338</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      T_K_calc Pass An-Ab Eq Test Put2008?  Delta_An  Delta_Ab  Delta_Or  \\\n",
       "0  1408.019018                  High T: No  0.101016  0.152353  0.029108   \n",
       "1  1423.834489                  High T: No  0.089866  0.102459  0.027941   \n",
       "2  1420.063528                  High T: No  0.117189  0.110312  0.022764   \n",
       "3  1386.731667                  High T: No  0.021553  0.029279  0.049656   \n",
       "4  1392.393338                 High T: Yes  0.021115  0.029107  0.028064   \n",
       "\n",
       "   Pred_An_EqE  Pred_Ab_EqF  Pred_Or_EqG  Obs_Kd_Ab_An  SiO2_Plag  TiO2_Plag  \\\n",
       "0     0.518145     0.401303     0.000107      0.510102       57.3       0.09   \n",
       "1     0.542990     0.416085     0.000391      0.455475       56.5       0.12   \n",
       "2     0.535451     0.447991     0.000671      0.500004       57.6       0.11   \n",
       "3     0.470193     0.472391     0.000034      0.461028       57.2       0.16   \n",
       "4     0.448856     0.530743     0.000329      0.369633       56.7       0.14   \n",
       "\n",
       "   Al2O3_Plag  FeOt_Plag  MnO_Plag  MgO_Plag  CaO_Plag  Na2O_Plag  K2O_Plag  \\\n",
       "0        26.6       0.43       0.0      0.03      8.33       6.11      0.49   \n",
       "1        26.9       0.47       0.0      0.05      8.95       5.66      0.47   \n",
       "2        26.3       0.50       0.0      0.07      8.50       6.27      0.40   \n",
       "3        27.0       0.62       0.0      0.06      9.03       5.58      0.84   \n",
       "4        27.6       0.69       0.0      0.11      9.46       5.58      0.48   \n",
       "\n",
       "   Cr2O3_Plag  Sample_ID_Plag  Si_Plag_cat_prop  Mg_Plag_cat_prop  \\\n",
       "0         0.0               0          0.953660          0.000744   \n",
       "1         0.0               1          0.940345          0.001241   \n",
       "2         0.0               2          0.958653          0.001737   \n",
       "3         0.0               3          0.951996          0.001489   \n",
       "4         0.0               4          0.943674          0.002729   \n",
       "\n",
       "   Fet_Plag_cat_prop  Ca_Plag_cat_prop  Al_Plag_cat_prop  Na_Plag_cat_prop  \\\n",
       "0           0.005985          0.148545          0.521768          0.197164   \n",
       "1           0.006542          0.159601          0.527653          0.182643   \n",
       "2           0.006959          0.151576          0.515884          0.202327   \n",
       "3           0.008630          0.161027          0.529614          0.180061   \n",
       "4           0.009604          0.168695          0.541383          0.180061   \n",
       "\n",
       "   K_Plag_cat_prop  Mn_Plag_cat_prop  Ti_Plag_cat_prop  Cr_Plag_cat_prop  \\\n",
       "0         0.010404               0.0          0.001127               0.0   \n",
       "1         0.009979               0.0          0.001502               0.0   \n",
       "2         0.008493               0.0          0.001377               0.0   \n",
       "3         0.017835               0.0          0.002003               0.0   \n",
       "4         0.010192               0.0          0.001753               0.0   \n",
       "\n",
       "        sum  Si_Plag_cat_frac  Mg_Plag_cat_frac  Fet_Plag_cat_frac  \\\n",
       "0  1.839397          0.518464          0.000405           0.003254   \n",
       "1  1.829506          0.513989          0.000678           0.003576   \n",
       "2  1.847006          0.519031          0.000940           0.003768   \n",
       "3  1.852655          0.513855          0.000804           0.004658   \n",
       "4  1.858092          0.507873          0.001469           0.005169   \n",
       "\n",
       "   Ca_Plag_cat_frac  Al_Plag_cat_frac  Na_Plag_cat_frac  K_Plag_cat_frac  \\\n",
       "0          0.080757          0.283663          0.107189         0.005656   \n",
       "1          0.087237          0.288413          0.099832         0.005455   \n",
       "2          0.082066          0.279308          0.109543         0.004598   \n",
       "3          0.086917          0.285868          0.097191         0.009627   \n",
       "4          0.090790          0.291365          0.096907         0.005485   \n",
       "\n",
       "   Mn_Plag_cat_frac  Ti_Plag_cat_frac  Cr_Plag_cat_frac   An_Plag   Ab_Plag  \\\n",
       "0               0.0          0.000613               0.0  0.417129  0.553656   \n",
       "1               0.0          0.000821               0.0  0.453125  0.518543   \n",
       "2               0.0          0.000746               0.0  0.418261  0.558303   \n",
       "3               0.0          0.001081               0.0  0.448640  0.501670   \n",
       "4               0.0          0.000943               0.0  0.469971  0.501636   \n",
       "\n",
       "    Or_Plag  SiO2_Liq  TiO2_Liq  Al2O3_Liq  FeOt_Liq  MnO_Liq  MgO_Liq  \\\n",
       "0  0.029215      49.1      3.22       14.4      14.8     0.14     3.20   \n",
       "1  0.028332      49.2      3.89       15.3      13.7     0.12     3.88   \n",
       "2  0.023435      49.6      3.79       15.8      13.0     0.14     4.26   \n",
       "3  0.049691      47.1      4.21       12.0      17.8     0.18     3.40   \n",
       "4  0.028393      48.1      3.88       13.2      16.4     0.16     4.02   \n",
       "\n",
       "   CaO_Liq  Na2O_Liq  K2O_Liq  Cr2O3_Liq  P2O5_Liq  H2O_Liq  Fe3Fet_Liq  \\\n",
       "0     6.72      3.34     1.70        0.0      1.13      0.0         0.0   \n",
       "1     6.76      3.44     1.22        0.0      0.83      0.0         0.0   \n",
       "2     6.59      3.65     1.04        0.0      0.63      0.0         0.0   \n",
       "3     7.28      2.93     2.02        0.0      2.32      0.0         0.0   \n",
       "4     6.51      3.36     1.36        0.0      1.59      0.0         0.0   \n",
       "\n",
       "   NiO_Liq  CoO_Liq  CO2_Liq  Sample_ID_Liq  SiO2_Liq_mol_frac  \\\n",
       "0      0.0      0.0      0.0              0           0.549988   \n",
       "1      0.0      0.0      0.0              1           0.545500   \n",
       "2      0.0      0.0      0.0              2           0.547269   \n",
       "3      0.0      0.0      0.0              3           0.521269   \n",
       "4      0.0      0.0      0.0              4           0.531999   \n",
       "\n",
       "   MgO_Liq_mol_frac  MnO_Liq_mol_frac  FeOt_Liq_mol_frac  CaO_Liq_mol_frac  \\\n",
       "0          0.053436          0.001328           0.138640          0.080652   \n",
       "1          0.064131          0.001127           0.127030          0.080306   \n",
       "2          0.070071          0.001308           0.119955          0.077907   \n",
       "3          0.056096          0.001687           0.164747          0.086327   \n",
       "4          0.066283          0.001499           0.151693          0.077147   \n",
       "\n",
       "   Al2O3_Liq_mol_frac  Na2O_Liq_mol_frac  K2O_Liq_mol_frac  TiO2_Liq_mol_frac  \\\n",
       "0            0.095052           0.036269          0.012146           0.027130   \n",
       "1            0.099965           0.036975          0.008628           0.032442   \n",
       "2            0.102731           0.039042          0.007319           0.031455   \n",
       "3            0.078262           0.031436          0.014260           0.035047   \n",
       "4            0.086033           0.036027          0.009595           0.032280   \n",
       "\n",
       "   P2O5_Liq_mol_frac  Cr2O3_Liq_mol_frac  Si_Liq_cat_frac  Mg_Liq_cat_frac  \\\n",
       "0           0.005358                 0.0         0.478739         0.046513   \n",
       "1           0.003896                 0.0         0.474569         0.055792   \n",
       "2           0.002943                 0.0         0.475045         0.060823   \n",
       "3           0.010869                 0.0         0.459338         0.049431   \n",
       "4           0.007444                 0.0         0.467035         0.058189   \n",
       "\n",
       "   Mn_Liq_cat_frac  Fet_Liq_cat_frac  Ca_Liq_cat_frac  Al_Liq_cat_frac  \\\n",
       "0         0.001156          0.120680         0.070204         0.165477   \n",
       "1         0.000980          0.110512         0.069864         0.173933   \n",
       "2         0.001136          0.104124         0.067626         0.178348   \n",
       "3         0.001487          0.145174         0.076070         0.137927   \n",
       "4         0.001316          0.133169         0.067727         0.151055   \n",
       "\n",
       "   Na_Liq_cat_frac  K_Liq_cat_frac  Ti_Liq_cat_frac  P_Liq_cat_frac  \\\n",
       "0         0.063141        0.021146         0.023616        0.009328   \n",
       "1         0.064334        0.015012         0.028224        0.006778   \n",
       "2         0.067779        0.012707         0.027304        0.005108   \n",
       "3         0.055402        0.025132         0.030883        0.019156   \n",
       "4         0.063254        0.016846         0.028338        0.013071   \n",
       "\n",
       "   Cr_Liq_cat_frac  Mg_Number_Liq_NoFe3  Mg_Number_Liq_Fe3  P            T  \n",
       "0              0.0             0.278194           0.278194  5  1408.019018  \n",
       "1              0.0             0.335475           0.335475  5  1423.834489  \n",
       "2              0.0             0.368736           0.368736  5  1420.063528  \n",
       "3              0.0             0.254001           0.254001  5  1386.731667  \n",
       "4              0.0             0.304076           0.304076  5  1392.393338  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T_PL_eq23_5kbar_EqTests=pt.calculate_fspar_liq_temp(plag_comps=Plags, liq_comps=Liqs_PL, \n",
    "                        equationT=\"T_Put2008_eq23\", P=5, eq_tests=True)\n",
    "T_PL_eq23_5kbar_EqTests.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0627d7a5-5c2e-44ae-8c87-9576e7d418ab",
   "metadata": {},
   "source": [
    "### Here we filter based on whether any given pair passes the An-Ab test within the values recomended by Putirka (2008) (T>1050 is 0.28+-0.11, and T<1050 is 0.1+-0.05)\n",
    "- The code uses the calculated temperature to decide what value to compare against, and the print Yes or No, as well as the temperature category it placed it into\n",
    "- Then, we make a variable of true/false called Eq_Filt, where we want it to read True if any of the column 'Pass An-Ab Eq Test Put2008?' contains the word yes\n",
    "- By using Loc, we extract the rows of the dataframe T_PL_eq23_5kbar_EqTests where Eq_Filt is True\n",
    "- The new dataframe \"T_PL_eq23_filt\" contains only pairs passing this filter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f4475a28-5e80-45d6-bee1-162548df1c13",
   "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>T_K_calc</th>\n",
       "      <th>Pass An-Ab Eq Test Put2008?</th>\n",
       "      <th>Delta_An</th>\n",
       "      <th>Delta_Ab</th>\n",
       "      <th>Delta_Or</th>\n",
       "      <th>Pred_An_EqE</th>\n",
       "      <th>Pred_Ab_EqF</th>\n",
       "      <th>Pred_Or_EqG</th>\n",
       "      <th>Obs_Kd_Ab_An</th>\n",
       "      <th>SiO2_Plag</th>\n",
       "      <th>TiO2_Plag</th>\n",
       "      <th>Al2O3_Plag</th>\n",
       "      <th>FeOt_Plag</th>\n",
       "      <th>MnO_Plag</th>\n",
       "      <th>MgO_Plag</th>\n",
       "      <th>CaO_Plag</th>\n",
       "      <th>Na2O_Plag</th>\n",
       "      <th>K2O_Plag</th>\n",
       "      <th>Cr2O3_Plag</th>\n",
       "      <th>Sample_ID_Plag</th>\n",
       "      <th>Si_Plag_cat_prop</th>\n",
       "      <th>Mg_Plag_cat_prop</th>\n",
       "      <th>Fet_Plag_cat_prop</th>\n",
       "      <th>Ca_Plag_cat_prop</th>\n",
       "      <th>Al_Plag_cat_prop</th>\n",
       "      <th>Na_Plag_cat_prop</th>\n",
       "      <th>K_Plag_cat_prop</th>\n",
       "      <th>Mn_Plag_cat_prop</th>\n",
       "      <th>Ti_Plag_cat_prop</th>\n",
       "      <th>Cr_Plag_cat_prop</th>\n",
       "      <th>sum</th>\n",
       "      <th>Si_Plag_cat_frac</th>\n",
       "      <th>Mg_Plag_cat_frac</th>\n",
       "      <th>Fet_Plag_cat_frac</th>\n",
       "      <th>Ca_Plag_cat_frac</th>\n",
       "      <th>Al_Plag_cat_frac</th>\n",
       "      <th>Na_Plag_cat_frac</th>\n",
       "      <th>K_Plag_cat_frac</th>\n",
       "      <th>Mn_Plag_cat_frac</th>\n",
       "      <th>Ti_Plag_cat_frac</th>\n",
       "      <th>Cr_Plag_cat_frac</th>\n",
       "      <th>An_Plag</th>\n",
       "      <th>Ab_Plag</th>\n",
       "      <th>Or_Plag</th>\n",
       "      <th>SiO2_Liq</th>\n",
       "      <th>TiO2_Liq</th>\n",
       "      <th>Al2O3_Liq</th>\n",
       "      <th>FeOt_Liq</th>\n",
       "      <th>MnO_Liq</th>\n",
       "      <th>MgO_Liq</th>\n",
       "      <th>CaO_Liq</th>\n",
       "      <th>Na2O_Liq</th>\n",
       "      <th>K2O_Liq</th>\n",
       "      <th>Cr2O3_Liq</th>\n",
       "      <th>P2O5_Liq</th>\n",
       "      <th>H2O_Liq</th>\n",
       "      <th>Fe3Fet_Liq</th>\n",
       "      <th>NiO_Liq</th>\n",
       "      <th>CoO_Liq</th>\n",
       "      <th>CO2_Liq</th>\n",
       "      <th>Sample_ID_Liq</th>\n",
       "      <th>SiO2_Liq_mol_frac</th>\n",
       "      <th>MgO_Liq_mol_frac</th>\n",
       "      <th>MnO_Liq_mol_frac</th>\n",
       "      <th>FeOt_Liq_mol_frac</th>\n",
       "      <th>CaO_Liq_mol_frac</th>\n",
       "      <th>Al2O3_Liq_mol_frac</th>\n",
       "      <th>Na2O_Liq_mol_frac</th>\n",
       "      <th>K2O_Liq_mol_frac</th>\n",
       "      <th>TiO2_Liq_mol_frac</th>\n",
       "      <th>P2O5_Liq_mol_frac</th>\n",
       "      <th>Cr2O3_Liq_mol_frac</th>\n",
       "      <th>Si_Liq_cat_frac</th>\n",
       "      <th>Mg_Liq_cat_frac</th>\n",
       "      <th>Mn_Liq_cat_frac</th>\n",
       "      <th>Fet_Liq_cat_frac</th>\n",
       "      <th>Ca_Liq_cat_frac</th>\n",
       "      <th>Al_Liq_cat_frac</th>\n",
       "      <th>Na_Liq_cat_frac</th>\n",
       "      <th>K_Liq_cat_frac</th>\n",
       "      <th>Ti_Liq_cat_frac</th>\n",
       "      <th>P_Liq_cat_frac</th>\n",
       "      <th>Cr_Liq_cat_frac</th>\n",
       "      <th>Mg_Number_Liq_NoFe3</th>\n",
       "      <th>Mg_Number_Liq_Fe3</th>\n",
       "      <th>P</th>\n",
       "      <th>T</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1392.393338</td>\n",
       "      <td>High T: Yes</td>\n",
       "      <td>0.021115</td>\n",
       "      <td>0.029107</td>\n",
       "      <td>0.028064</td>\n",
       "      <td>0.448856</td>\n",
       "      <td>0.530743</td>\n",
       "      <td>0.000329</td>\n",
       "      <td>0.369633</td>\n",
       "      <td>56.7</td>\n",
       "      <td>0.14</td>\n",
       "      <td>27.6</td>\n",
       "      <td>0.69</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.11</td>\n",
       "      <td>9.46</td>\n",
       "      <td>5.58</td>\n",
       "      <td>0.48</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "      <td>0.943674</td>\n",
       "      <td>0.002729</td>\n",
       "      <td>0.009604</td>\n",
       "      <td>0.168695</td>\n",
       "      <td>0.541383</td>\n",
       "      <td>0.180061</td>\n",
       "      <td>0.010192</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001753</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.858092</td>\n",
       "      <td>0.507873</td>\n",
       "      <td>0.001469</td>\n",
       "      <td>0.005169</td>\n",
       "      <td>0.090790</td>\n",
       "      <td>0.291365</td>\n",
       "      <td>0.096907</td>\n",
       "      <td>0.005485</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000943</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.469971</td>\n",
       "      <td>0.501636</td>\n",
       "      <td>0.028393</td>\n",
       "      <td>48.1</td>\n",
       "      <td>3.88</td>\n",
       "      <td>13.2</td>\n",
       "      <td>16.40</td>\n",
       "      <td>0.16</td>\n",
       "      <td>4.02</td>\n",
       "      <td>6.51</td>\n",
       "      <td>3.36</td>\n",
       "      <td>1.36</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.59</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "      <td>0.531999</td>\n",
       "      <td>0.066283</td>\n",
       "      <td>0.001499</td>\n",
       "      <td>0.151693</td>\n",
       "      <td>0.077147</td>\n",
       "      <td>0.086033</td>\n",
       "      <td>0.036027</td>\n",
       "      <td>0.009595</td>\n",
       "      <td>0.032280</td>\n",
       "      <td>0.007444</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.467035</td>\n",
       "      <td>0.058189</td>\n",
       "      <td>0.001316</td>\n",
       "      <td>0.133169</td>\n",
       "      <td>0.067727</td>\n",
       "      <td>0.151055</td>\n",
       "      <td>0.063254</td>\n",
       "      <td>0.016846</td>\n",
       "      <td>0.028338</td>\n",
       "      <td>0.013071</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.304076</td>\n",
       "      <td>0.304076</td>\n",
       "      <td>5</td>\n",
       "      <td>1392.393338</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1410.107078</td>\n",
       "      <td>High T: Yes</td>\n",
       "      <td>0.007695</td>\n",
       "      <td>0.037224</td>\n",
       "      <td>0.021375</td>\n",
       "      <td>0.479576</td>\n",
       "      <td>0.527774</td>\n",
       "      <td>0.000804</td>\n",
       "      <td>0.331605</td>\n",
       "      <td>56.1</td>\n",
       "      <td>0.21</td>\n",
       "      <td>27.8</td>\n",
       "      <td>0.56</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.09</td>\n",
       "      <td>9.94</td>\n",
       "      <td>5.53</td>\n",
       "      <td>0.38</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6</td>\n",
       "      <td>0.933688</td>\n",
       "      <td>0.002233</td>\n",
       "      <td>0.007794</td>\n",
       "      <td>0.177255</td>\n",
       "      <td>0.545307</td>\n",
       "      <td>0.178448</td>\n",
       "      <td>0.008068</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.002629</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.855422</td>\n",
       "      <td>0.503221</td>\n",
       "      <td>0.001204</td>\n",
       "      <td>0.004201</td>\n",
       "      <td>0.095534</td>\n",
       "      <td>0.293899</td>\n",
       "      <td>0.096176</td>\n",
       "      <td>0.004348</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001417</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.487271</td>\n",
       "      <td>0.490550</td>\n",
       "      <td>0.022180</td>\n",
       "      <td>49.5</td>\n",
       "      <td>4.23</td>\n",
       "      <td>14.8</td>\n",
       "      <td>14.00</td>\n",
       "      <td>0.16</td>\n",
       "      <td>4.63</td>\n",
       "      <td>6.36</td>\n",
       "      <td>3.76</td>\n",
       "      <td>1.04</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.69</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6</td>\n",
       "      <td>0.540606</td>\n",
       "      <td>0.075382</td>\n",
       "      <td>0.001480</td>\n",
       "      <td>0.127867</td>\n",
       "      <td>0.074423</td>\n",
       "      <td>0.095250</td>\n",
       "      <td>0.039809</td>\n",
       "      <td>0.007245</td>\n",
       "      <td>0.034749</td>\n",
       "      <td>0.003190</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.471941</td>\n",
       "      <td>0.065807</td>\n",
       "      <td>0.001292</td>\n",
       "      <td>0.111626</td>\n",
       "      <td>0.064970</td>\n",
       "      <td>0.166303</td>\n",
       "      <td>0.069505</td>\n",
       "      <td>0.012650</td>\n",
       "      <td>0.030336</td>\n",
       "      <td>0.005570</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.370875</td>\n",
       "      <td>0.370875</td>\n",
       "      <td>5</td>\n",
       "      <td>1410.107078</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1418.246494</td>\n",
       "      <td>High T: Yes</td>\n",
       "      <td>0.026281</td>\n",
       "      <td>0.006622</td>\n",
       "      <td>0.020336</td>\n",
       "      <td>0.507864</td>\n",
       "      <td>0.503560</td>\n",
       "      <td>0.001144</td>\n",
       "      <td>0.366685</td>\n",
       "      <td>56.4</td>\n",
       "      <td>0.20</td>\n",
       "      <td>27.3</td>\n",
       "      <td>0.53</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.08</td>\n",
       "      <td>9.61</td>\n",
       "      <td>5.48</td>\n",
       "      <td>0.36</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7</td>\n",
       "      <td>0.938681</td>\n",
       "      <td>0.001985</td>\n",
       "      <td>0.007377</td>\n",
       "      <td>0.171370</td>\n",
       "      <td>0.535499</td>\n",
       "      <td>0.176834</td>\n",
       "      <td>0.007644</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.002504</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.841894</td>\n",
       "      <td>0.509628</td>\n",
       "      <td>0.001078</td>\n",
       "      <td>0.004005</td>\n",
       "      <td>0.093040</td>\n",
       "      <td>0.290733</td>\n",
       "      <td>0.096007</td>\n",
       "      <td>0.004150</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001359</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.481582</td>\n",
       "      <td>0.496938</td>\n",
       "      <td>0.021480</td>\n",
       "      <td>49.5</td>\n",
       "      <td>4.04</td>\n",
       "      <td>15.3</td>\n",
       "      <td>13.50</td>\n",
       "      <td>0.13</td>\n",
       "      <td>4.65</td>\n",
       "      <td>6.39</td>\n",
       "      <td>3.62</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.66</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7</td>\n",
       "      <td>0.543380</td>\n",
       "      <td>0.076096</td>\n",
       "      <td>0.001209</td>\n",
       "      <td>0.123933</td>\n",
       "      <td>0.075158</td>\n",
       "      <td>0.098973</td>\n",
       "      <td>0.038523</td>\n",
       "      <td>0.006302</td>\n",
       "      <td>0.033359</td>\n",
       "      <td>0.003067</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.473796</td>\n",
       "      <td>0.066351</td>\n",
       "      <td>0.001054</td>\n",
       "      <td>0.108063</td>\n",
       "      <td>0.065533</td>\n",
       "      <td>0.172598</td>\n",
       "      <td>0.067180</td>\n",
       "      <td>0.010990</td>\n",
       "      <td>0.029087</td>\n",
       "      <td>0.005348</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.380415</td>\n",
       "      <td>0.380415</td>\n",
       "      <td>5</td>\n",
       "      <td>1418.246494</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1388.282711</td>\n",
       "      <td>High T: Yes</td>\n",
       "      <td>0.044579</td>\n",
       "      <td>0.021938</td>\n",
       "      <td>0.029839</td>\n",
       "      <td>0.444467</td>\n",
       "      <td>0.502815</td>\n",
       "      <td>0.000237</td>\n",
       "      <td>0.368925</td>\n",
       "      <td>56.0</td>\n",
       "      <td>0.14</td>\n",
       "      <td>27.0</td>\n",
       "      <td>0.64</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.09</td>\n",
       "      <td>9.68</td>\n",
       "      <td>5.26</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>8</td>\n",
       "      <td>0.932024</td>\n",
       "      <td>0.002233</td>\n",
       "      <td>0.008908</td>\n",
       "      <td>0.172619</td>\n",
       "      <td>0.529614</td>\n",
       "      <td>0.169735</td>\n",
       "      <td>0.010616</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001753</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.827502</td>\n",
       "      <td>0.509999</td>\n",
       "      <td>0.001222</td>\n",
       "      <td>0.004874</td>\n",
       "      <td>0.094456</td>\n",
       "      <td>0.289802</td>\n",
       "      <td>0.092878</td>\n",
       "      <td>0.005809</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000959</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.489046</td>\n",
       "      <td>0.480877</td>\n",
       "      <td>0.030077</td>\n",
       "      <td>52.0</td>\n",
       "      <td>4.04</td>\n",
       "      <td>12.5</td>\n",
       "      <td>14.30</td>\n",
       "      <td>0.15</td>\n",
       "      <td>3.30</td>\n",
       "      <td>6.71</td>\n",
       "      <td>2.80</td>\n",
       "      <td>1.41</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.17</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>8</td>\n",
       "      <td>0.573262</td>\n",
       "      <td>0.054234</td>\n",
       "      <td>0.001401</td>\n",
       "      <td>0.131838</td>\n",
       "      <td>0.079258</td>\n",
       "      <td>0.081206</td>\n",
       "      <td>0.029924</td>\n",
       "      <td>0.009915</td>\n",
       "      <td>0.033501</td>\n",
       "      <td>0.005460</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.508885</td>\n",
       "      <td>0.048144</td>\n",
       "      <td>0.001243</td>\n",
       "      <td>0.117033</td>\n",
       "      <td>0.070358</td>\n",
       "      <td>0.144173</td>\n",
       "      <td>0.053128</td>\n",
       "      <td>0.017603</td>\n",
       "      <td>0.029739</td>\n",
       "      <td>0.009694</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.291461</td>\n",
       "      <td>0.291461</td>\n",
       "      <td>5</td>\n",
       "      <td>1388.282711</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1397.830490</td>\n",
       "      <td>High T: Yes</td>\n",
       "      <td>0.107368</td>\n",
       "      <td>0.061476</td>\n",
       "      <td>0.020652</td>\n",
       "      <td>0.445034</td>\n",
       "      <td>0.488335</td>\n",
       "      <td>0.000087</td>\n",
       "      <td>0.197672</td>\n",
       "      <td>54.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>27.5</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.24</td>\n",
       "      <td>11.10</td>\n",
       "      <td>4.74</td>\n",
       "      <td>0.35</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9</td>\n",
       "      <td>0.907059</td>\n",
       "      <td>0.005955</td>\n",
       "      <td>0.010439</td>\n",
       "      <td>0.197941</td>\n",
       "      <td>0.539422</td>\n",
       "      <td>0.152955</td>\n",
       "      <td>0.007431</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.821202</td>\n",
       "      <td>0.498055</td>\n",
       "      <td>0.003270</td>\n",
       "      <td>0.005732</td>\n",
       "      <td>0.108687</td>\n",
       "      <td>0.296190</td>\n",
       "      <td>0.083986</td>\n",
       "      <td>0.004080</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.552402</td>\n",
       "      <td>0.426859</td>\n",
       "      <td>0.020739</td>\n",
       "      <td>57.8</td>\n",
       "      <td>1.87</td>\n",
       "      <td>13.7</td>\n",
       "      <td>9.35</td>\n",
       "      <td>0.20</td>\n",
       "      <td>3.41</td>\n",
       "      <td>6.33</td>\n",
       "      <td>3.82</td>\n",
       "      <td>1.94</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.30</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9</td>\n",
       "      <td>0.626884</td>\n",
       "      <td>0.055134</td>\n",
       "      <td>0.001837</td>\n",
       "      <td>0.084806</td>\n",
       "      <td>0.073559</td>\n",
       "      <td>0.087560</td>\n",
       "      <td>0.040164</td>\n",
       "      <td>0.013421</td>\n",
       "      <td>0.015256</td>\n",
       "      <td>0.001377</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.548684</td>\n",
       "      <td>0.048257</td>\n",
       "      <td>0.001608</td>\n",
       "      <td>0.074227</td>\n",
       "      <td>0.064383</td>\n",
       "      <td>0.153275</td>\n",
       "      <td>0.070308</td>\n",
       "      <td>0.023494</td>\n",
       "      <td>0.013353</td>\n",
       "      <td>0.002411</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.393976</td>\n",
       "      <td>0.393976</td>\n",
       "      <td>5</td>\n",
       "      <td>1397.830490</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      T_K_calc Pass An-Ab Eq Test Put2008?  Delta_An  Delta_Ab  Delta_Or  \\\n",
       "4  1392.393338                 High T: Yes  0.021115  0.029107  0.028064   \n",
       "6  1410.107078                 High T: Yes  0.007695  0.037224  0.021375   \n",
       "7  1418.246494                 High T: Yes  0.026281  0.006622  0.020336   \n",
       "8  1388.282711                 High T: Yes  0.044579  0.021938  0.029839   \n",
       "9  1397.830490                 High T: Yes  0.107368  0.061476  0.020652   \n",
       "\n",
       "   Pred_An_EqE  Pred_Ab_EqF  Pred_Or_EqG  Obs_Kd_Ab_An  SiO2_Plag  TiO2_Plag  \\\n",
       "4     0.448856     0.530743     0.000329      0.369633       56.7       0.14   \n",
       "6     0.479576     0.527774     0.000804      0.331605       56.1       0.21   \n",
       "7     0.507864     0.503560     0.001144      0.366685       56.4       0.20   \n",
       "8     0.444467     0.502815     0.000237      0.368925       56.0       0.14   \n",
       "9     0.445034     0.488335     0.000087      0.197672       54.5       0.00   \n",
       "\n",
       "   Al2O3_Plag  FeOt_Plag  MnO_Plag  MgO_Plag  CaO_Plag  Na2O_Plag  K2O_Plag  \\\n",
       "4        27.6       0.69       0.0      0.11      9.46       5.58      0.48   \n",
       "6        27.8       0.56       0.0      0.09      9.94       5.53      0.38   \n",
       "7        27.3       0.53       0.0      0.08      9.61       5.48      0.36   \n",
       "8        27.0       0.64       0.0      0.09      9.68       5.26      0.50   \n",
       "9        27.5       0.75       0.0      0.24     11.10       4.74      0.35   \n",
       "\n",
       "   Cr2O3_Plag  Sample_ID_Plag  Si_Plag_cat_prop  Mg_Plag_cat_prop  \\\n",
       "4         0.0               4          0.943674          0.002729   \n",
       "6         0.0               6          0.933688          0.002233   \n",
       "7         0.0               7          0.938681          0.001985   \n",
       "8         0.0               8          0.932024          0.002233   \n",
       "9         0.0               9          0.907059          0.005955   \n",
       "\n",
       "   Fet_Plag_cat_prop  Ca_Plag_cat_prop  Al_Plag_cat_prop  Na_Plag_cat_prop  \\\n",
       "4           0.009604          0.168695          0.541383          0.180061   \n",
       "6           0.007794          0.177255          0.545307          0.178448   \n",
       "7           0.007377          0.171370          0.535499          0.176834   \n",
       "8           0.008908          0.172619          0.529614          0.169735   \n",
       "9           0.010439          0.197941          0.539422          0.152955   \n",
       "\n",
       "   K_Plag_cat_prop  Mn_Plag_cat_prop  Ti_Plag_cat_prop  Cr_Plag_cat_prop  \\\n",
       "4         0.010192               0.0          0.001753               0.0   \n",
       "6         0.008068               0.0          0.002629               0.0   \n",
       "7         0.007644               0.0          0.002504               0.0   \n",
       "8         0.010616               0.0          0.001753               0.0   \n",
       "9         0.007431               0.0          0.000000               0.0   \n",
       "\n",
       "        sum  Si_Plag_cat_frac  Mg_Plag_cat_frac  Fet_Plag_cat_frac  \\\n",
       "4  1.858092          0.507873          0.001469           0.005169   \n",
       "6  1.855422          0.503221          0.001204           0.004201   \n",
       "7  1.841894          0.509628          0.001078           0.004005   \n",
       "8  1.827502          0.509999          0.001222           0.004874   \n",
       "9  1.821202          0.498055          0.003270           0.005732   \n",
       "\n",
       "   Ca_Plag_cat_frac  Al_Plag_cat_frac  Na_Plag_cat_frac  K_Plag_cat_frac  \\\n",
       "4          0.090790          0.291365          0.096907         0.005485   \n",
       "6          0.095534          0.293899          0.096176         0.004348   \n",
       "7          0.093040          0.290733          0.096007         0.004150   \n",
       "8          0.094456          0.289802          0.092878         0.005809   \n",
       "9          0.108687          0.296190          0.083986         0.004080   \n",
       "\n",
       "   Mn_Plag_cat_frac  Ti_Plag_cat_frac  Cr_Plag_cat_frac   An_Plag   Ab_Plag  \\\n",
       "4               0.0          0.000943               0.0  0.469971  0.501636   \n",
       "6               0.0          0.001417               0.0  0.487271  0.490550   \n",
       "7               0.0          0.001359               0.0  0.481582  0.496938   \n",
       "8               0.0          0.000959               0.0  0.489046  0.480877   \n",
       "9               0.0          0.000000               0.0  0.552402  0.426859   \n",
       "\n",
       "    Or_Plag  SiO2_Liq  TiO2_Liq  Al2O3_Liq  FeOt_Liq  MnO_Liq  MgO_Liq  \\\n",
       "4  0.028393      48.1      3.88       13.2     16.40     0.16     4.02   \n",
       "6  0.022180      49.5      4.23       14.8     14.00     0.16     4.63   \n",
       "7  0.021480      49.5      4.04       15.3     13.50     0.13     4.65   \n",
       "8  0.030077      52.0      4.04       12.5     14.30     0.15     3.30   \n",
       "9  0.020739      57.8      1.87       13.7      9.35     0.20     3.41   \n",
       "\n",
       "   CaO_Liq  Na2O_Liq  K2O_Liq  Cr2O3_Liq  P2O5_Liq  H2O_Liq  Fe3Fet_Liq  \\\n",
       "4     6.51      3.36     1.36        0.0      1.59      0.0         0.0   \n",
       "6     6.36      3.76     1.04        0.0      0.69      0.0         0.0   \n",
       "7     6.39      3.62     0.90        0.0      0.66      0.0         0.0   \n",
       "8     6.71      2.80     1.41        0.0      1.17      0.0         0.0   \n",
       "9     6.33      3.82     1.94        0.0      0.30      0.0         0.0   \n",
       "\n",
       "   NiO_Liq  CoO_Liq  CO2_Liq  Sample_ID_Liq  SiO2_Liq_mol_frac  \\\n",
       "4      0.0      0.0      0.0              4           0.531999   \n",
       "6      0.0      0.0      0.0              6           0.540606   \n",
       "7      0.0      0.0      0.0              7           0.543380   \n",
       "8      0.0      0.0      0.0              8           0.573262   \n",
       "9      0.0      0.0      0.0              9           0.626884   \n",
       "\n",
       "   MgO_Liq_mol_frac  MnO_Liq_mol_frac  FeOt_Liq_mol_frac  CaO_Liq_mol_frac  \\\n",
       "4          0.066283          0.001499           0.151693          0.077147   \n",
       "6          0.075382          0.001480           0.127867          0.074423   \n",
       "7          0.076096          0.001209           0.123933          0.075158   \n",
       "8          0.054234          0.001401           0.131838          0.079258   \n",
       "9          0.055134          0.001837           0.084806          0.073559   \n",
       "\n",
       "   Al2O3_Liq_mol_frac  Na2O_Liq_mol_frac  K2O_Liq_mol_frac  TiO2_Liq_mol_frac  \\\n",
       "4            0.086033           0.036027          0.009595           0.032280   \n",
       "6            0.095250           0.039809          0.007245           0.034749   \n",
       "7            0.098973           0.038523          0.006302           0.033359   \n",
       "8            0.081206           0.029924          0.009915           0.033501   \n",
       "9            0.087560           0.040164          0.013421           0.015256   \n",
       "\n",
       "   P2O5_Liq_mol_frac  Cr2O3_Liq_mol_frac  Si_Liq_cat_frac  Mg_Liq_cat_frac  \\\n",
       "4           0.007444                 0.0         0.467035         0.058189   \n",
       "6           0.003190                 0.0         0.471941         0.065807   \n",
       "7           0.003067                 0.0         0.473796         0.066351   \n",
       "8           0.005460                 0.0         0.508885         0.048144   \n",
       "9           0.001377                 0.0         0.548684         0.048257   \n",
       "\n",
       "   Mn_Liq_cat_frac  Fet_Liq_cat_frac  Ca_Liq_cat_frac  Al_Liq_cat_frac  \\\n",
       "4         0.001316          0.133169         0.067727         0.151055   \n",
       "6         0.001292          0.111626         0.064970         0.166303   \n",
       "7         0.001054          0.108063         0.065533         0.172598   \n",
       "8         0.001243          0.117033         0.070358         0.144173   \n",
       "9         0.001608          0.074227         0.064383         0.153275   \n",
       "\n",
       "   Na_Liq_cat_frac  K_Liq_cat_frac  Ti_Liq_cat_frac  P_Liq_cat_frac  \\\n",
       "4         0.063254        0.016846         0.028338        0.013071   \n",
       "6         0.069505        0.012650         0.030336        0.005570   \n",
       "7         0.067180        0.010990         0.029087        0.005348   \n",
       "8         0.053128        0.017603         0.029739        0.009694   \n",
       "9         0.070308        0.023494         0.013353        0.002411   \n",
       "\n",
       "   Cr_Liq_cat_frac  Mg_Number_Liq_NoFe3  Mg_Number_Liq_Fe3  P            T  \n",
       "4              0.0             0.304076           0.304076  5  1392.393338  \n",
       "6              0.0             0.370875           0.370875  5  1410.107078  \n",
       "7              0.0             0.380415           0.380415  5  1418.246494  \n",
       "8              0.0             0.291461           0.291461  5  1388.282711  \n",
       "9              0.0             0.393976           0.393976  5  1397.830490  "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Eq_filt=T_PL_eq23_5kbar_EqTests['Pass An-Ab Eq Test Put2008?'].str.contains(\"Yes\")\n",
    "T_PL_eq23_filt=T_PL_eq23_5kbar_EqTests.loc[Eq_filt]\n",
    "T_PL_eq23_filt.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f9787249-dd84-49d3-95e6-373fe3fe2258",
   "metadata": {},
   "source": [
    "### Can also add filters based on Delta An, Ab, Or values\n",
    "- Here, new dataframe \"T_PL_eq23_filt2\" has calculated and predicted An values within 0.05, 0.03 for Or and 0.03 for Ab"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "a7985543-06cb-4329-8f02-7be50374e588",
   "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>T_K_calc</th>\n",
       "      <th>Pass An-Ab Eq Test Put2008?</th>\n",
       "      <th>Delta_An</th>\n",
       "      <th>Delta_Ab</th>\n",
       "      <th>Delta_Or</th>\n",
       "      <th>Pred_An_EqE</th>\n",
       "      <th>Pred_Ab_EqF</th>\n",
       "      <th>Pred_Or_EqG</th>\n",
       "      <th>Obs_Kd_Ab_An</th>\n",
       "      <th>SiO2_Plag</th>\n",
       "      <th>TiO2_Plag</th>\n",
       "      <th>Al2O3_Plag</th>\n",
       "      <th>FeOt_Plag</th>\n",
       "      <th>MnO_Plag</th>\n",
       "      <th>MgO_Plag</th>\n",
       "      <th>CaO_Plag</th>\n",
       "      <th>Na2O_Plag</th>\n",
       "      <th>K2O_Plag</th>\n",
       "      <th>Cr2O3_Plag</th>\n",
       "      <th>Sample_ID_Plag</th>\n",
       "      <th>Si_Plag_cat_prop</th>\n",
       "      <th>Mg_Plag_cat_prop</th>\n",
       "      <th>Fet_Plag_cat_prop</th>\n",
       "      <th>Ca_Plag_cat_prop</th>\n",
       "      <th>Al_Plag_cat_prop</th>\n",
       "      <th>Na_Plag_cat_prop</th>\n",
       "      <th>K_Plag_cat_prop</th>\n",
       "      <th>Mn_Plag_cat_prop</th>\n",
       "      <th>Ti_Plag_cat_prop</th>\n",
       "      <th>Cr_Plag_cat_prop</th>\n",
       "      <th>sum</th>\n",
       "      <th>Si_Plag_cat_frac</th>\n",
       "      <th>Mg_Plag_cat_frac</th>\n",
       "      <th>Fet_Plag_cat_frac</th>\n",
       "      <th>Ca_Plag_cat_frac</th>\n",
       "      <th>Al_Plag_cat_frac</th>\n",
       "      <th>Na_Plag_cat_frac</th>\n",
       "      <th>K_Plag_cat_frac</th>\n",
       "      <th>Mn_Plag_cat_frac</th>\n",
       "      <th>Ti_Plag_cat_frac</th>\n",
       "      <th>Cr_Plag_cat_frac</th>\n",
       "      <th>An_Plag</th>\n",
       "      <th>Ab_Plag</th>\n",
       "      <th>Or_Plag</th>\n",
       "      <th>SiO2_Liq</th>\n",
       "      <th>TiO2_Liq</th>\n",
       "      <th>Al2O3_Liq</th>\n",
       "      <th>FeOt_Liq</th>\n",
       "      <th>MnO_Liq</th>\n",
       "      <th>MgO_Liq</th>\n",
       "      <th>CaO_Liq</th>\n",
       "      <th>Na2O_Liq</th>\n",
       "      <th>K2O_Liq</th>\n",
       "      <th>Cr2O3_Liq</th>\n",
       "      <th>P2O5_Liq</th>\n",
       "      <th>H2O_Liq</th>\n",
       "      <th>Fe3Fet_Liq</th>\n",
       "      <th>NiO_Liq</th>\n",
       "      <th>CoO_Liq</th>\n",
       "      <th>CO2_Liq</th>\n",
       "      <th>Sample_ID_Liq</th>\n",
       "      <th>SiO2_Liq_mol_frac</th>\n",
       "      <th>MgO_Liq_mol_frac</th>\n",
       "      <th>MnO_Liq_mol_frac</th>\n",
       "      <th>FeOt_Liq_mol_frac</th>\n",
       "      <th>CaO_Liq_mol_frac</th>\n",
       "      <th>Al2O3_Liq_mol_frac</th>\n",
       "      <th>Na2O_Liq_mol_frac</th>\n",
       "      <th>K2O_Liq_mol_frac</th>\n",
       "      <th>TiO2_Liq_mol_frac</th>\n",
       "      <th>P2O5_Liq_mol_frac</th>\n",
       "      <th>Cr2O3_Liq_mol_frac</th>\n",
       "      <th>Si_Liq_cat_frac</th>\n",
       "      <th>Mg_Liq_cat_frac</th>\n",
       "      <th>Mn_Liq_cat_frac</th>\n",
       "      <th>Fet_Liq_cat_frac</th>\n",
       "      <th>Ca_Liq_cat_frac</th>\n",
       "      <th>Al_Liq_cat_frac</th>\n",
       "      <th>Na_Liq_cat_frac</th>\n",
       "      <th>K_Liq_cat_frac</th>\n",
       "      <th>Ti_Liq_cat_frac</th>\n",
       "      <th>P_Liq_cat_frac</th>\n",
       "      <th>Cr_Liq_cat_frac</th>\n",
       "      <th>Mg_Number_Liq_NoFe3</th>\n",
       "      <th>Mg_Number_Liq_Fe3</th>\n",
       "      <th>P</th>\n",
       "      <th>T</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1392.393338</td>\n",
       "      <td>High T: Yes</td>\n",
       "      <td>0.021115</td>\n",
       "      <td>0.029107</td>\n",
       "      <td>0.028064</td>\n",
       "      <td>0.448856</td>\n",
       "      <td>0.530743</td>\n",
       "      <td>0.000329</td>\n",
       "      <td>0.369633</td>\n",
       "      <td>56.70</td>\n",
       "      <td>0.14</td>\n",
       "      <td>27.60</td>\n",
       "      <td>0.69</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.11</td>\n",
       "      <td>9.46</td>\n",
       "      <td>5.58</td>\n",
       "      <td>0.48</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "      <td>0.943674</td>\n",
       "      <td>0.002729</td>\n",
       "      <td>0.009604</td>\n",
       "      <td>0.168695</td>\n",
       "      <td>0.541383</td>\n",
       "      <td>0.180061</td>\n",
       "      <td>0.010192</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.001753</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.858092</td>\n",
       "      <td>0.507873</td>\n",
       "      <td>0.001469</td>\n",
       "      <td>0.005169</td>\n",
       "      <td>0.090790</td>\n",
       "      <td>0.291365</td>\n",
       "      <td>0.096907</td>\n",
       "      <td>0.005485</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000943</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.469971</td>\n",
       "      <td>0.501636</td>\n",
       "      <td>0.028393</td>\n",
       "      <td>48.10</td>\n",
       "      <td>3.88</td>\n",
       "      <td>13.20</td>\n",
       "      <td>16.40</td>\n",
       "      <td>0.16</td>\n",
       "      <td>4.02</td>\n",
       "      <td>6.51</td>\n",
       "      <td>3.36</td>\n",
       "      <td>1.36</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.59</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "      <td>0.531999</td>\n",
       "      <td>0.066283</td>\n",
       "      <td>0.001499</td>\n",
       "      <td>0.151693</td>\n",
       "      <td>0.077147</td>\n",
       "      <td>0.086033</td>\n",
       "      <td>0.036027</td>\n",
       "      <td>0.009595</td>\n",
       "      <td>0.032280</td>\n",
       "      <td>0.007444</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.467035</td>\n",
       "      <td>0.058189</td>\n",
       "      <td>0.001316</td>\n",
       "      <td>0.133169</td>\n",
       "      <td>0.067727</td>\n",
       "      <td>0.151055</td>\n",
       "      <td>0.063254</td>\n",
       "      <td>0.016846</td>\n",
       "      <td>0.028338</td>\n",
       "      <td>0.013071</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.304076</td>\n",
       "      <td>0.304076</td>\n",
       "      <td>5</td>\n",
       "      <td>1392.393338</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1418.246494</td>\n",
       "      <td>High T: Yes</td>\n",
       "      <td>0.026281</td>\n",
       "      <td>0.006622</td>\n",
       "      <td>0.020336</td>\n",
       "      <td>0.507864</td>\n",
       "      <td>0.503560</td>\n",
       "      <td>0.001144</td>\n",
       "      <td>0.366685</td>\n",
       "      <td>56.40</td>\n",
       "      <td>0.20</td>\n",
       "      <td>27.30</td>\n",
       "      <td>0.53</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.08</td>\n",
       "      <td>9.61</td>\n",
       "      <td>5.48</td>\n",
       "      <td>0.36</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7</td>\n",
       "      <td>0.938681</td>\n",
       "      <td>0.001985</td>\n",
       "      <td>0.007377</td>\n",
       "      <td>0.171370</td>\n",
       "      <td>0.535499</td>\n",
       "      <td>0.176834</td>\n",
       "      <td>0.007644</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.002504</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.841894</td>\n",
       "      <td>0.509628</td>\n",
       "      <td>0.001078</td>\n",
       "      <td>0.004005</td>\n",
       "      <td>0.093040</td>\n",
       "      <td>0.290733</td>\n",
       "      <td>0.096007</td>\n",
       "      <td>0.004150</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.001359</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.481582</td>\n",
       "      <td>0.496938</td>\n",
       "      <td>0.021480</td>\n",
       "      <td>49.50</td>\n",
       "      <td>4.04</td>\n",
       "      <td>15.30</td>\n",
       "      <td>13.50</td>\n",
       "      <td>0.13</td>\n",
       "      <td>4.65</td>\n",
       "      <td>6.39</td>\n",
       "      <td>3.62</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.66</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7</td>\n",
       "      <td>0.543380</td>\n",
       "      <td>0.076096</td>\n",
       "      <td>0.001209</td>\n",
       "      <td>0.123933</td>\n",
       "      <td>0.075158</td>\n",
       "      <td>0.098973</td>\n",
       "      <td>0.038523</td>\n",
       "      <td>0.006302</td>\n",
       "      <td>0.033359</td>\n",
       "      <td>0.003067</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.473796</td>\n",
       "      <td>0.066351</td>\n",
       "      <td>0.001054</td>\n",
       "      <td>0.108063</td>\n",
       "      <td>0.065533</td>\n",
       "      <td>0.172598</td>\n",
       "      <td>0.067180</td>\n",
       "      <td>0.010990</td>\n",
       "      <td>0.029087</td>\n",
       "      <td>0.005348</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.380415</td>\n",
       "      <td>0.380415</td>\n",
       "      <td>5</td>\n",
       "      <td>1418.246494</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1388.282711</td>\n",
       "      <td>High T: Yes</td>\n",
       "      <td>0.044579</td>\n",
       "      <td>0.021938</td>\n",
       "      <td>0.029839</td>\n",
       "      <td>0.444467</td>\n",
       "      <td>0.502815</td>\n",
       "      <td>0.000237</td>\n",
       "      <td>0.368925</td>\n",
       "      <td>56.00</td>\n",
       "      <td>0.14</td>\n",
       "      <td>27.00</td>\n",
       "      <td>0.64</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.09</td>\n",
       "      <td>9.68</td>\n",
       "      <td>5.26</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>8</td>\n",
       "      <td>0.932024</td>\n",
       "      <td>0.002233</td>\n",
       "      <td>0.008908</td>\n",
       "      <td>0.172619</td>\n",
       "      <td>0.529614</td>\n",
       "      <td>0.169735</td>\n",
       "      <td>0.010616</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.001753</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.827502</td>\n",
       "      <td>0.509999</td>\n",
       "      <td>0.001222</td>\n",
       "      <td>0.004874</td>\n",
       "      <td>0.094456</td>\n",
       "      <td>0.289802</td>\n",
       "      <td>0.092878</td>\n",
       "      <td>0.005809</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000959</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.489046</td>\n",
       "      <td>0.480877</td>\n",
       "      <td>0.030077</td>\n",
       "      <td>52.00</td>\n",
       "      <td>4.04</td>\n",
       "      <td>12.50</td>\n",
       "      <td>14.30</td>\n",
       "      <td>0.15</td>\n",
       "      <td>3.30</td>\n",
       "      <td>6.71</td>\n",
       "      <td>2.80</td>\n",
       "      <td>1.41</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.17</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>8</td>\n",
       "      <td>0.573262</td>\n",
       "      <td>0.054234</td>\n",
       "      <td>0.001401</td>\n",
       "      <td>0.131838</td>\n",
       "      <td>0.079258</td>\n",
       "      <td>0.081206</td>\n",
       "      <td>0.029924</td>\n",
       "      <td>0.009915</td>\n",
       "      <td>0.033501</td>\n",
       "      <td>0.005460</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.508885</td>\n",
       "      <td>0.048144</td>\n",
       "      <td>0.001243</td>\n",
       "      <td>0.117033</td>\n",
       "      <td>0.070358</td>\n",
       "      <td>0.144173</td>\n",
       "      <td>0.053128</td>\n",
       "      <td>0.017603</td>\n",
       "      <td>0.029739</td>\n",
       "      <td>0.009694</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.291461</td>\n",
       "      <td>0.291461</td>\n",
       "      <td>5</td>\n",
       "      <td>1388.282711</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>1514.271339</td>\n",
       "      <td>High T: Yes</td>\n",
       "      <td>0.042248</td>\n",
       "      <td>0.013302</td>\n",
       "      <td>0.005014</td>\n",
       "      <td>0.804288</td>\n",
       "      <td>0.219359</td>\n",
       "      <td>0.000286</td>\n",
       "      <td>0.296268</td>\n",
       "      <td>48.73</td>\n",
       "      <td>0.06</td>\n",
       "      <td>31.46</td>\n",
       "      <td>0.35</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.22</td>\n",
       "      <td>15.41</td>\n",
       "      <td>2.60</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.0</td>\n",
       "      <td>19</td>\n",
       "      <td>0.811027</td>\n",
       "      <td>0.005458</td>\n",
       "      <td>0.004872</td>\n",
       "      <td>0.274799</td>\n",
       "      <td>0.617099</td>\n",
       "      <td>0.083900</td>\n",
       "      <td>0.001911</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000751</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.799816</td>\n",
       "      <td>0.450617</td>\n",
       "      <td>0.003033</td>\n",
       "      <td>0.002707</td>\n",
       "      <td>0.152682</td>\n",
       "      <td>0.342868</td>\n",
       "      <td>0.046616</td>\n",
       "      <td>0.001062</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000417</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.762040</td>\n",
       "      <td>0.232661</td>\n",
       "      <td>0.005299</td>\n",
       "      <td>48.07</td>\n",
       "      <td>1.63</td>\n",
       "      <td>16.16</td>\n",
       "      <td>10.16</td>\n",
       "      <td>0.20</td>\n",
       "      <td>7.72</td>\n",
       "      <td>11.39</td>\n",
       "      <td>2.57</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.28</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>19</td>\n",
       "      <td>0.510696</td>\n",
       "      <td>0.122268</td>\n",
       "      <td>0.001800</td>\n",
       "      <td>0.090269</td>\n",
       "      <td>0.129654</td>\n",
       "      <td>0.101171</td>\n",
       "      <td>0.026469</td>\n",
       "      <td>0.003388</td>\n",
       "      <td>0.013026</td>\n",
       "      <td>0.001259</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.451030</td>\n",
       "      <td>0.107983</td>\n",
       "      <td>0.001589</td>\n",
       "      <td>0.079723</td>\n",
       "      <td>0.114506</td>\n",
       "      <td>0.178702</td>\n",
       "      <td>0.046753</td>\n",
       "      <td>0.005985</td>\n",
       "      <td>0.011504</td>\n",
       "      <td>0.002224</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.575272</td>\n",
       "      <td>0.575272</td>\n",
       "      <td>5</td>\n",
       "      <td>1514.271339</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1431.136469</td>\n",
       "      <td>High T: Yes</td>\n",
       "      <td>0.013393</td>\n",
       "      <td>0.027520</td>\n",
       "      <td>0.018570</td>\n",
       "      <td>0.605008</td>\n",
       "      <td>0.335482</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.290997</td>\n",
       "      <td>53.35</td>\n",
       "      <td>0.23</td>\n",
       "      <td>28.83</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.32</td>\n",
       "      <td>12.67</td>\n",
       "      <td>4.11</td>\n",
       "      <td>0.32</td>\n",
       "      <td>0.0</td>\n",
       "      <td>23</td>\n",
       "      <td>0.887919</td>\n",
       "      <td>0.007940</td>\n",
       "      <td>0.011552</td>\n",
       "      <td>0.225938</td>\n",
       "      <td>0.565510</td>\n",
       "      <td>0.132626</td>\n",
       "      <td>0.006794</td>\n",
       "      <td>0.000141</td>\n",
       "      <td>0.002879</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.841300</td>\n",
       "      <td>0.482224</td>\n",
       "      <td>0.004312</td>\n",
       "      <td>0.006274</td>\n",
       "      <td>0.122706</td>\n",
       "      <td>0.307126</td>\n",
       "      <td>0.072028</td>\n",
       "      <td>0.003690</td>\n",
       "      <td>0.000077</td>\n",
       "      <td>0.001564</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.618401</td>\n",
       "      <td>0.363002</td>\n",
       "      <td>0.018596</td>\n",
       "      <td>48.01</td>\n",
       "      <td>4.17</td>\n",
       "      <td>13.25</td>\n",
       "      <td>13.39</td>\n",
       "      <td>0.23</td>\n",
       "      <td>4.81</td>\n",
       "      <td>9.57</td>\n",
       "      <td>3.47</td>\n",
       "      <td>1.42</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.86</td>\n",
       "      <td>0.26</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>23</td>\n",
       "      <td>0.519558</td>\n",
       "      <td>0.077599</td>\n",
       "      <td>0.002108</td>\n",
       "      <td>0.121182</td>\n",
       "      <td>0.110965</td>\n",
       "      <td>0.084498</td>\n",
       "      <td>0.036404</td>\n",
       "      <td>0.009802</td>\n",
       "      <td>0.033944</td>\n",
       "      <td>0.003940</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.457904</td>\n",
       "      <td>0.068391</td>\n",
       "      <td>0.001858</td>\n",
       "      <td>0.106802</td>\n",
       "      <td>0.097797</td>\n",
       "      <td>0.148941</td>\n",
       "      <td>0.064168</td>\n",
       "      <td>0.017278</td>\n",
       "      <td>0.029916</td>\n",
       "      <td>0.006944</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.390366</td>\n",
       "      <td>0.390366</td>\n",
       "      <td>5</td>\n",
       "      <td>1431.136469</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       T_K_calc Pass An-Ab Eq Test Put2008?  Delta_An  Delta_Ab  Delta_Or  \\\n",
       "4   1392.393338                 High T: Yes  0.021115  0.029107  0.028064   \n",
       "7   1418.246494                 High T: Yes  0.026281  0.006622  0.020336   \n",
       "8   1388.282711                 High T: Yes  0.044579  0.021938  0.029839   \n",
       "19  1514.271339                 High T: Yes  0.042248  0.013302  0.005014   \n",
       "23  1431.136469                 High T: Yes  0.013393  0.027520  0.018570   \n",
       "\n",
       "    Pred_An_EqE  Pred_Ab_EqF  Pred_Or_EqG  Obs_Kd_Ab_An  SiO2_Plag  TiO2_Plag  \\\n",
       "4      0.448856     0.530743     0.000329      0.369633      56.70       0.14   \n",
       "7      0.507864     0.503560     0.001144      0.366685      56.40       0.20   \n",
       "8      0.444467     0.502815     0.000237      0.368925      56.00       0.14   \n",
       "19     0.804288     0.219359     0.000286      0.296268      48.73       0.06   \n",
       "23     0.605008     0.335482     0.000026      0.290997      53.35       0.23   \n",
       "\n",
       "    Al2O3_Plag  FeOt_Plag  MnO_Plag  MgO_Plag  CaO_Plag  Na2O_Plag  K2O_Plag  \\\n",
       "4        27.60       0.69      0.00      0.11      9.46       5.58      0.48   \n",
       "7        27.30       0.53      0.00      0.08      9.61       5.48      0.36   \n",
       "8        27.00       0.64      0.00      0.09      9.68       5.26      0.50   \n",
       "19       31.46       0.35      0.00      0.22     15.41       2.60      0.09   \n",
       "23       28.83       0.83      0.01      0.32     12.67       4.11      0.32   \n",
       "\n",
       "    Cr2O3_Plag  Sample_ID_Plag  Si_Plag_cat_prop  Mg_Plag_cat_prop  \\\n",
       "4          0.0               4          0.943674          0.002729   \n",
       "7          0.0               7          0.938681          0.001985   \n",
       "8          0.0               8          0.932024          0.002233   \n",
       "19         0.0              19          0.811027          0.005458   \n",
       "23         0.0              23          0.887919          0.007940   \n",
       "\n",
       "    Fet_Plag_cat_prop  Ca_Plag_cat_prop  Al_Plag_cat_prop  Na_Plag_cat_prop  \\\n",
       "4            0.009604          0.168695          0.541383          0.180061   \n",
       "7            0.007377          0.171370          0.535499          0.176834   \n",
       "8            0.008908          0.172619          0.529614          0.169735   \n",
       "19           0.004872          0.274799          0.617099          0.083900   \n",
       "23           0.011552          0.225938          0.565510          0.132626   \n",
       "\n",
       "    K_Plag_cat_prop  Mn_Plag_cat_prop  Ti_Plag_cat_prop  Cr_Plag_cat_prop  \\\n",
       "4          0.010192          0.000000          0.001753               0.0   \n",
       "7          0.007644          0.000000          0.002504               0.0   \n",
       "8          0.010616          0.000000          0.001753               0.0   \n",
       "19         0.001911          0.000000          0.000751               0.0   \n",
       "23         0.006794          0.000141          0.002879               0.0   \n",
       "\n",
       "         sum  Si_Plag_cat_frac  Mg_Plag_cat_frac  Fet_Plag_cat_frac  \\\n",
       "4   1.858092          0.507873          0.001469           0.005169   \n",
       "7   1.841894          0.509628          0.001078           0.004005   \n",
       "8   1.827502          0.509999          0.001222           0.004874   \n",
       "19  1.799816          0.450617          0.003033           0.002707   \n",
       "23  1.841300          0.482224          0.004312           0.006274   \n",
       "\n",
       "    Ca_Plag_cat_frac  Al_Plag_cat_frac  Na_Plag_cat_frac  K_Plag_cat_frac  \\\n",
       "4           0.090790          0.291365          0.096907         0.005485   \n",
       "7           0.093040          0.290733          0.096007         0.004150   \n",
       "8           0.094456          0.289802          0.092878         0.005809   \n",
       "19          0.152682          0.342868          0.046616         0.001062   \n",
       "23          0.122706          0.307126          0.072028         0.003690   \n",
       "\n",
       "    Mn_Plag_cat_frac  Ti_Plag_cat_frac  Cr_Plag_cat_frac   An_Plag   Ab_Plag  \\\n",
       "4           0.000000          0.000943               0.0  0.469971  0.501636   \n",
       "7           0.000000          0.001359               0.0  0.481582  0.496938   \n",
       "8           0.000000          0.000959               0.0  0.489046  0.480877   \n",
       "19          0.000000          0.000417               0.0  0.762040  0.232661   \n",
       "23          0.000077          0.001564               0.0  0.618401  0.363002   \n",
       "\n",
       "     Or_Plag  SiO2_Liq  TiO2_Liq  Al2O3_Liq  FeOt_Liq  MnO_Liq  MgO_Liq  \\\n",
       "4   0.028393     48.10      3.88      13.20     16.40     0.16     4.02   \n",
       "7   0.021480     49.50      4.04      15.30     13.50     0.13     4.65   \n",
       "8   0.030077     52.00      4.04      12.50     14.30     0.15     3.30   \n",
       "19  0.005299     48.07      1.63      16.16     10.16     0.20     7.72   \n",
       "23  0.018596     48.01      4.17      13.25     13.39     0.23     4.81   \n",
       "\n",
       "    CaO_Liq  Na2O_Liq  K2O_Liq  Cr2O3_Liq  P2O5_Liq  H2O_Liq  Fe3Fet_Liq  \\\n",
       "4      6.51      3.36     1.36        0.0      1.59     0.00         0.0   \n",
       "7      6.39      3.62     0.90        0.0      0.66     0.00         0.0   \n",
       "8      6.71      2.80     1.41        0.0      1.17     0.00         0.0   \n",
       "19    11.39      2.57     0.50        0.0      0.28     0.06         0.0   \n",
       "23     9.57      3.47     1.42        0.0      0.86     0.26         0.0   \n",
       "\n",
       "    NiO_Liq  CoO_Liq  CO2_Liq  Sample_ID_Liq  SiO2_Liq_mol_frac  \\\n",
       "4       0.0      0.0      0.0              4           0.531999   \n",
       "7       0.0      0.0      0.0              7           0.543380   \n",
       "8       0.0      0.0      0.0              8           0.573262   \n",
       "19      0.0      0.0      0.0             19           0.510696   \n",
       "23      0.0      0.0      0.0             23           0.519558   \n",
       "\n",
       "    MgO_Liq_mol_frac  MnO_Liq_mol_frac  FeOt_Liq_mol_frac  CaO_Liq_mol_frac  \\\n",
       "4           0.066283          0.001499           0.151693          0.077147   \n",
       "7           0.076096          0.001209           0.123933          0.075158   \n",
       "8           0.054234          0.001401           0.131838          0.079258   \n",
       "19          0.122268          0.001800           0.090269          0.129654   \n",
       "23          0.077599          0.002108           0.121182          0.110965   \n",
       "\n",
       "    Al2O3_Liq_mol_frac  Na2O_Liq_mol_frac  K2O_Liq_mol_frac  \\\n",
       "4             0.086033           0.036027          0.009595   \n",
       "7             0.098973           0.038523          0.006302   \n",
       "8             0.081206           0.029924          0.009915   \n",
       "19            0.101171           0.026469          0.003388   \n",
       "23            0.084498           0.036404          0.009802   \n",
       "\n",
       "    TiO2_Liq_mol_frac  P2O5_Liq_mol_frac  Cr2O3_Liq_mol_frac  Si_Liq_cat_frac  \\\n",
       "4            0.032280           0.007444                 0.0         0.467035   \n",
       "7            0.033359           0.003067                 0.0         0.473796   \n",
       "8            0.033501           0.005460                 0.0         0.508885   \n",
       "19           0.013026           0.001259                 0.0         0.451030   \n",
       "23           0.033944           0.003940                 0.0         0.457904   \n",
       "\n",
       "    Mg_Liq_cat_frac  Mn_Liq_cat_frac  Fet_Liq_cat_frac  Ca_Liq_cat_frac  \\\n",
       "4          0.058189         0.001316          0.133169         0.067727   \n",
       "7          0.066351         0.001054          0.108063         0.065533   \n",
       "8          0.048144         0.001243          0.117033         0.070358   \n",
       "19         0.107983         0.001589          0.079723         0.114506   \n",
       "23         0.068391         0.001858          0.106802         0.097797   \n",
       "\n",
       "    Al_Liq_cat_frac  Na_Liq_cat_frac  K_Liq_cat_frac  Ti_Liq_cat_frac  \\\n",
       "4          0.151055         0.063254        0.016846         0.028338   \n",
       "7          0.172598         0.067180        0.010990         0.029087   \n",
       "8          0.144173         0.053128        0.017603         0.029739   \n",
       "19         0.178702         0.046753        0.005985         0.011504   \n",
       "23         0.148941         0.064168        0.017278         0.029916   \n",
       "\n",
       "    P_Liq_cat_frac  Cr_Liq_cat_frac  Mg_Number_Liq_NoFe3  Mg_Number_Liq_Fe3  \\\n",
       "4         0.013071              0.0             0.304076           0.304076   \n",
       "7         0.005348              0.0             0.380415           0.380415   \n",
       "8         0.009694              0.0             0.291461           0.291461   \n",
       "19        0.002224              0.0             0.575272           0.575272   \n",
       "23        0.006944              0.0             0.390366           0.390366   \n",
       "\n",
       "    P            T  \n",
       "4   5  1392.393338  \n",
       "7   5  1418.246494  \n",
       "8   5  1388.282711  \n",
       "19  5  1514.271339  \n",
       "23  5  1431.136469  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "Eq_filt_An=T_PL_eq23_5kbar_EqTests['Delta_An']<0.05\n",
    "Eq_filt_Or=T_PL_eq23_5kbar_EqTests['Delta_Or']<0.03\n",
    "Eq_filt_Ab=T_PL_eq23_5kbar_EqTests['Delta_Ab']<0.03\n",
    "\n",
    "T_PL_eq23_filt2=T_PL_eq23_5kbar_EqTests.loc[Eq_filt&Eq_filt_An&Eq_filt_Ab&Eq_filt_Or]\n",
    "T_PL_eq23_filt2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8af0476-1fc0-466b-b5a7-18c3784f162e",
   "metadata": {},
   "source": [
    "## Example 2 - Plagioclase-Liquid barometry\n",
    "- Note, Putirka (2008) questions whether plagioclase barometers are at all accurate, so use with extreme caution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "313ade07-60bc-47e3-a578-e1abd39db44e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    4.041798\n",
       "1    3.060993\n",
       "2    3.936693\n",
       "3    2.432249\n",
       "4    0.986835\n",
       "dtype: float64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Press=pt.calculate_fspar_liq_press(liq_comps=Liqs_PL, plag_comps=Plags, \n",
    "                                   equationP=\"P_Put2008_eq25\", T=1300)\n",
    "Press.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "6d934c26-8404-4030-b143-bd756b42be85",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
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       "        vertical-align: top;\n",
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       "\n",
       "    .dataframe thead th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Pass An-Ab Eq Test Put2008?</th>\n",
       "      <th>P_kbar_calc</th>\n",
       "      <th>Delta_An</th>\n",
       "      <th>Delta_Ab</th>\n",
       "      <th>Delta_Or</th>\n",
       "      <th>Pred_An_EqE</th>\n",
       "      <th>Pred_Ab_EqF</th>\n",
       "      <th>Pred_Or_EqG</th>\n",
       "      <th>Obs_Kd_Ab_An</th>\n",
       "      <th>SiO2_Plag</th>\n",
       "      <th>TiO2_Plag</th>\n",
       "      <th>Al2O3_Plag</th>\n",
       "      <th>FeOt_Plag</th>\n",
       "      <th>MnO_Plag</th>\n",
       "      <th>MgO_Plag</th>\n",
       "      <th>CaO_Plag</th>\n",
       "      <th>Na2O_Plag</th>\n",
       "      <th>K2O_Plag</th>\n",
       "      <th>Cr2O3_Plag</th>\n",
       "      <th>Sample_ID_Plag</th>\n",
       "      <th>Si_Plag_cat_prop</th>\n",
       "      <th>Mg_Plag_cat_prop</th>\n",
       "      <th>Fet_Plag_cat_prop</th>\n",
       "      <th>Ca_Plag_cat_prop</th>\n",
       "      <th>Al_Plag_cat_prop</th>\n",
       "      <th>Na_Plag_cat_prop</th>\n",
       "      <th>K_Plag_cat_prop</th>\n",
       "      <th>Mn_Plag_cat_prop</th>\n",
       "      <th>Ti_Plag_cat_prop</th>\n",
       "      <th>Cr_Plag_cat_prop</th>\n",
       "      <th>sum</th>\n",
       "      <th>Si_Plag_cat_frac</th>\n",
       "      <th>Mg_Plag_cat_frac</th>\n",
       "      <th>Fet_Plag_cat_frac</th>\n",
       "      <th>Ca_Plag_cat_frac</th>\n",
       "      <th>Al_Plag_cat_frac</th>\n",
       "      <th>Na_Plag_cat_frac</th>\n",
       "      <th>K_Plag_cat_frac</th>\n",
       "      <th>Mn_Plag_cat_frac</th>\n",
       "      <th>Ti_Plag_cat_frac</th>\n",
       "      <th>Cr_Plag_cat_frac</th>\n",
       "      <th>An_Plag</th>\n",
       "      <th>Ab_Plag</th>\n",
       "      <th>Or_Plag</th>\n",
       "      <th>SiO2_Liq</th>\n",
       "      <th>TiO2_Liq</th>\n",
       "      <th>Al2O3_Liq</th>\n",
       "      <th>FeOt_Liq</th>\n",
       "      <th>MnO_Liq</th>\n",
       "      <th>MgO_Liq</th>\n",
       "      <th>CaO_Liq</th>\n",
       "      <th>Na2O_Liq</th>\n",
       "      <th>K2O_Liq</th>\n",
       "      <th>Cr2O3_Liq</th>\n",
       "      <th>P2O5_Liq</th>\n",
       "      <th>H2O_Liq</th>\n",
       "      <th>Fe3Fet_Liq</th>\n",
       "      <th>NiO_Liq</th>\n",
       "      <th>CoO_Liq</th>\n",
       "      <th>CO2_Liq</th>\n",
       "      <th>Sample_ID_Liq</th>\n",
       "      <th>SiO2_Liq_mol_frac</th>\n",
       "      <th>MgO_Liq_mol_frac</th>\n",
       "      <th>MnO_Liq_mol_frac</th>\n",
       "      <th>FeOt_Liq_mol_frac</th>\n",
       "      <th>CaO_Liq_mol_frac</th>\n",
       "      <th>Al2O3_Liq_mol_frac</th>\n",
       "      <th>Na2O_Liq_mol_frac</th>\n",
       "      <th>K2O_Liq_mol_frac</th>\n",
       "      <th>TiO2_Liq_mol_frac</th>\n",
       "      <th>P2O5_Liq_mol_frac</th>\n",
       "      <th>Cr2O3_Liq_mol_frac</th>\n",
       "      <th>Si_Liq_cat_frac</th>\n",
       "      <th>Mg_Liq_cat_frac</th>\n",
       "      <th>Mn_Liq_cat_frac</th>\n",
       "      <th>Fet_Liq_cat_frac</th>\n",
       "      <th>Ca_Liq_cat_frac</th>\n",
       "      <th>Al_Liq_cat_frac</th>\n",
       "      <th>Na_Liq_cat_frac</th>\n",
       "      <th>K_Liq_cat_frac</th>\n",
       "      <th>Ti_Liq_cat_frac</th>\n",
       "      <th>P_Liq_cat_frac</th>\n",
       "      <th>Cr_Liq_cat_frac</th>\n",
       "      <th>Mg_Number_Liq_NoFe3</th>\n",
       "      <th>Mg_Number_Liq_Fe3</th>\n",
       "      <th>P</th>\n",
       "      <th>T</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Low T: Yes</td>\n",
       "      <td>4.041798</td>\n",
       "      <td>0.035285</td>\n",
       "      <td>0.052459</td>\n",
       "      <td>0.029156</td>\n",
       "      <td>0.452414</td>\n",
       "      <td>0.501197</td>\n",
       "      <td>0.000059</td>\n",
       "      <td>0.510102</td>\n",
       "      <td>57.3</td>\n",
       "      <td>0.09</td>\n",
       "      <td>26.6</td>\n",
       "      <td>0.43</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.03</td>\n",
       "      <td>8.33</td>\n",
       "      <td>6.11</td>\n",
       "      <td>0.49</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.953660</td>\n",
       "      <td>0.000744</td>\n",
       "      <td>0.005985</td>\n",
       "      <td>0.148545</td>\n",
       "      <td>0.521768</td>\n",
       "      <td>0.197164</td>\n",
       "      <td>0.010404</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001127</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.839397</td>\n",
       "      <td>0.518464</td>\n",
       "      <td>0.000405</td>\n",
       "      <td>0.003254</td>\n",
       "      <td>0.080757</td>\n",
       "      <td>0.283663</td>\n",
       "      <td>0.107189</td>\n",
       "      <td>0.005656</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000613</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.417129</td>\n",
       "      <td>0.553656</td>\n",
       "      <td>0.029215</td>\n",
       "      <td>49.1</td>\n",
       "      <td>3.22</td>\n",
       "      <td>14.4</td>\n",
       "      <td>14.8</td>\n",
       "      <td>0.14</td>\n",
       "      <td>3.20</td>\n",
       "      <td>6.72</td>\n",
       "      <td>3.34</td>\n",
       "      <td>1.70</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.13</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.549988</td>\n",
       "      <td>0.053436</td>\n",
       "      <td>0.001328</td>\n",
       "      <td>0.138640</td>\n",
       "      <td>0.080652</td>\n",
       "      <td>0.095052</td>\n",
       "      <td>0.036269</td>\n",
       "      <td>0.012146</td>\n",
       "      <td>0.027130</td>\n",
       "      <td>0.005358</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.478739</td>\n",
       "      <td>0.046513</td>\n",
       "      <td>0.001156</td>\n",
       "      <td>0.120680</td>\n",
       "      <td>0.070204</td>\n",
       "      <td>0.165477</td>\n",
       "      <td>0.063141</td>\n",
       "      <td>0.021146</td>\n",
       "      <td>0.023616</td>\n",
       "      <td>0.009328</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.278194</td>\n",
       "      <td>0.278194</td>\n",
       "      <td>4.041798</td>\n",
       "      <td>1300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Low T: Yes</td>\n",
       "      <td>3.060993</td>\n",
       "      <td>0.024460</td>\n",
       "      <td>0.002030</td>\n",
       "      <td>0.028134</td>\n",
       "      <td>0.477584</td>\n",
       "      <td>0.516514</td>\n",
       "      <td>0.000198</td>\n",
       "      <td>0.455475</td>\n",
       "      <td>56.5</td>\n",
       "      <td>0.12</td>\n",
       "      <td>26.9</td>\n",
       "      <td>0.47</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8.95</td>\n",
       "      <td>5.66</td>\n",
       "      <td>0.47</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.940345</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>0.006542</td>\n",
       "      <td>0.159601</td>\n",
       "      <td>0.527653</td>\n",
       "      <td>0.182643</td>\n",
       "      <td>0.009979</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001502</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.829506</td>\n",
       "      <td>0.513989</td>\n",
       "      <td>0.000678</td>\n",
       "      <td>0.003576</td>\n",
       "      <td>0.087237</td>\n",
       "      <td>0.288413</td>\n",
       "      <td>0.099832</td>\n",
       "      <td>0.005455</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000821</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.453125</td>\n",
       "      <td>0.518543</td>\n",
       "      <td>0.028332</td>\n",
       "      <td>49.2</td>\n",
       "      <td>3.89</td>\n",
       "      <td>15.3</td>\n",
       "      <td>13.7</td>\n",
       "      <td>0.12</td>\n",
       "      <td>3.88</td>\n",
       "      <td>6.76</td>\n",
       "      <td>3.44</td>\n",
       "      <td>1.22</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.545500</td>\n",
       "      <td>0.064131</td>\n",
       "      <td>0.001127</td>\n",
       "      <td>0.127030</td>\n",
       "      <td>0.080306</td>\n",
       "      <td>0.099965</td>\n",
       "      <td>0.036975</td>\n",
       "      <td>0.008628</td>\n",
       "      <td>0.032442</td>\n",
       "      <td>0.003896</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.474569</td>\n",
       "      <td>0.055792</td>\n",
       "      <td>0.000980</td>\n",
       "      <td>0.110512</td>\n",
       "      <td>0.069864</td>\n",
       "      <td>0.173933</td>\n",
       "      <td>0.064334</td>\n",
       "      <td>0.015012</td>\n",
       "      <td>0.028224</td>\n",
       "      <td>0.006778</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.335475</td>\n",
       "      <td>0.335475</td>\n",
       "      <td>3.060993</td>\n",
       "      <td>1300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Low T: Yes</td>\n",
       "      <td>3.936693</td>\n",
       "      <td>0.042934</td>\n",
       "      <td>0.013869</td>\n",
       "      <td>0.023090</td>\n",
       "      <td>0.461195</td>\n",
       "      <td>0.572172</td>\n",
       "      <td>0.000346</td>\n",
       "      <td>0.500004</td>\n",
       "      <td>57.6</td>\n",
       "      <td>0.11</td>\n",
       "      <td>26.3</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.07</td>\n",
       "      <td>8.50</td>\n",
       "      <td>6.27</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.958653</td>\n",
       "      <td>0.001737</td>\n",
       "      <td>0.006959</td>\n",
       "      <td>0.151576</td>\n",
       "      <td>0.515884</td>\n",
       "      <td>0.202327</td>\n",
       "      <td>0.008493</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001377</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.847006</td>\n",
       "      <td>0.519031</td>\n",
       "      <td>0.000940</td>\n",
       "      <td>0.003768</td>\n",
       "      <td>0.082066</td>\n",
       "      <td>0.279308</td>\n",
       "      <td>0.109543</td>\n",
       "      <td>0.004598</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000746</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.418261</td>\n",
       "      <td>0.558303</td>\n",
       "      <td>0.023435</td>\n",
       "      <td>49.6</td>\n",
       "      <td>3.79</td>\n",
       "      <td>15.8</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.14</td>\n",
       "      <td>4.26</td>\n",
       "      <td>6.59</td>\n",
       "      <td>3.65</td>\n",
       "      <td>1.04</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.63</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.547269</td>\n",
       "      <td>0.070071</td>\n",
       "      <td>0.001308</td>\n",
       "      <td>0.119955</td>\n",
       "      <td>0.077907</td>\n",
       "      <td>0.102731</td>\n",
       "      <td>0.039042</td>\n",
       "      <td>0.007319</td>\n",
       "      <td>0.031455</td>\n",
       "      <td>0.002943</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.475045</td>\n",
       "      <td>0.060823</td>\n",
       "      <td>0.001136</td>\n",
       "      <td>0.104124</td>\n",
       "      <td>0.067626</td>\n",
       "      <td>0.178348</td>\n",
       "      <td>0.067779</td>\n",
       "      <td>0.012707</td>\n",
       "      <td>0.027304</td>\n",
       "      <td>0.005108</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.368736</td>\n",
       "      <td>0.368736</td>\n",
       "      <td>3.936693</td>\n",
       "      <td>1300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Low T: Yes</td>\n",
       "      <td>2.432249</td>\n",
       "      <td>0.004628</td>\n",
       "      <td>0.023672</td>\n",
       "      <td>0.049670</td>\n",
       "      <td>0.444011</td>\n",
       "      <td>0.525342</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>0.461028</td>\n",
       "      <td>57.2</td>\n",
       "      <td>0.16</td>\n",
       "      <td>27.0</td>\n",
       "      <td>0.62</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.06</td>\n",
       "      <td>9.03</td>\n",
       "      <td>5.58</td>\n",
       "      <td>0.84</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3</td>\n",
       "      <td>0.951996</td>\n",
       "      <td>0.001489</td>\n",
       "      <td>0.008630</td>\n",
       "      <td>0.161027</td>\n",
       "      <td>0.529614</td>\n",
       "      <td>0.180061</td>\n",
       "      <td>0.017835</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.002003</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.852655</td>\n",
       "      <td>0.513855</td>\n",
       "      <td>0.000804</td>\n",
       "      <td>0.004658</td>\n",
       "      <td>0.086917</td>\n",
       "      <td>0.285868</td>\n",
       "      <td>0.097191</td>\n",
       "      <td>0.009627</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001081</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.448640</td>\n",
       "      <td>0.501670</td>\n",
       "      <td>0.049691</td>\n",
       "      <td>47.1</td>\n",
       "      <td>4.21</td>\n",
       "      <td>12.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>0.18</td>\n",
       "      <td>3.40</td>\n",
       "      <td>7.28</td>\n",
       "      <td>2.93</td>\n",
       "      <td>2.02</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.32</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3</td>\n",
       "      <td>0.521269</td>\n",
       "      <td>0.056096</td>\n",
       "      <td>0.001687</td>\n",
       "      <td>0.164747</td>\n",
       "      <td>0.086327</td>\n",
       "      <td>0.078262</td>\n",
       "      <td>0.031436</td>\n",
       "      <td>0.014260</td>\n",
       "      <td>0.035047</td>\n",
       "      <td>0.010869</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.459338</td>\n",
       "      <td>0.049431</td>\n",
       "      <td>0.001487</td>\n",
       "      <td>0.145174</td>\n",
       "      <td>0.076070</td>\n",
       "      <td>0.137927</td>\n",
       "      <td>0.055402</td>\n",
       "      <td>0.025132</td>\n",
       "      <td>0.030883</td>\n",
       "      <td>0.019156</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.254001</td>\n",
       "      <td>0.254001</td>\n",
       "      <td>2.432249</td>\n",
       "      <td>1300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Low T: Yes</td>\n",
       "      <td>0.986835</td>\n",
       "      <td>0.031026</td>\n",
       "      <td>0.061152</td>\n",
       "      <td>0.028197</td>\n",
       "      <td>0.438945</td>\n",
       "      <td>0.562788</td>\n",
       "      <td>0.000196</td>\n",
       "      <td>0.369633</td>\n",
       "      <td>56.7</td>\n",
       "      <td>0.14</td>\n",
       "      <td>27.6</td>\n",
       "      <td>0.69</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.11</td>\n",
       "      <td>9.46</td>\n",
       "      <td>5.58</td>\n",
       "      <td>0.48</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "      <td>0.943674</td>\n",
       "      <td>0.002729</td>\n",
       "      <td>0.009604</td>\n",
       "      <td>0.168695</td>\n",
       "      <td>0.541383</td>\n",
       "      <td>0.180061</td>\n",
       "      <td>0.010192</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001753</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.858092</td>\n",
       "      <td>0.507873</td>\n",
       "      <td>0.001469</td>\n",
       "      <td>0.005169</td>\n",
       "      <td>0.090790</td>\n",
       "      <td>0.291365</td>\n",
       "      <td>0.096907</td>\n",
       "      <td>0.005485</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000943</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.469971</td>\n",
       "      <td>0.501636</td>\n",
       "      <td>0.028393</td>\n",
       "      <td>48.1</td>\n",
       "      <td>3.88</td>\n",
       "      <td>13.2</td>\n",
       "      <td>16.4</td>\n",
       "      <td>0.16</td>\n",
       "      <td>4.02</td>\n",
       "      <td>6.51</td>\n",
       "      <td>3.36</td>\n",
       "      <td>1.36</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.59</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "      <td>0.531999</td>\n",
       "      <td>0.066283</td>\n",
       "      <td>0.001499</td>\n",
       "      <td>0.151693</td>\n",
       "      <td>0.077147</td>\n",
       "      <td>0.086033</td>\n",
       "      <td>0.036027</td>\n",
       "      <td>0.009595</td>\n",
       "      <td>0.032280</td>\n",
       "      <td>0.007444</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.467035</td>\n",
       "      <td>0.058189</td>\n",
       "      <td>0.001316</td>\n",
       "      <td>0.133169</td>\n",
       "      <td>0.067727</td>\n",
       "      <td>0.151055</td>\n",
       "      <td>0.063254</td>\n",
       "      <td>0.016846</td>\n",
       "      <td>0.028338</td>\n",
       "      <td>0.013071</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.304076</td>\n",
       "      <td>0.304076</td>\n",
       "      <td>0.986835</td>\n",
       "      <td>1300</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Pass An-Ab Eq Test Put2008?  P_kbar_calc  Delta_An  Delta_Ab  Delta_Or  \\\n",
       "0                  Low T: Yes     4.041798  0.035285  0.052459  0.029156   \n",
       "1                  Low T: Yes     3.060993  0.024460  0.002030  0.028134   \n",
       "2                  Low T: Yes     3.936693  0.042934  0.013869  0.023090   \n",
       "3                  Low T: Yes     2.432249  0.004628  0.023672  0.049670   \n",
       "4                  Low T: Yes     0.986835  0.031026  0.061152  0.028197   \n",
       "\n",
       "   Pred_An_EqE  Pred_Ab_EqF  Pred_Or_EqG  Obs_Kd_Ab_An  SiO2_Plag  TiO2_Plag  \\\n",
       "0     0.452414     0.501197     0.000059      0.510102       57.3       0.09   \n",
       "1     0.477584     0.516514     0.000198      0.455475       56.5       0.12   \n",
       "2     0.461195     0.572172     0.000346      0.500004       57.6       0.11   \n",
       "3     0.444011     0.525342     0.000021      0.461028       57.2       0.16   \n",
       "4     0.438945     0.562788     0.000196      0.369633       56.7       0.14   \n",
       "\n",
       "   Al2O3_Plag  FeOt_Plag  MnO_Plag  MgO_Plag  CaO_Plag  Na2O_Plag  K2O_Plag  \\\n",
       "0        26.6       0.43       0.0      0.03      8.33       6.11      0.49   \n",
       "1        26.9       0.47       0.0      0.05      8.95       5.66      0.47   \n",
       "2        26.3       0.50       0.0      0.07      8.50       6.27      0.40   \n",
       "3        27.0       0.62       0.0      0.06      9.03       5.58      0.84   \n",
       "4        27.6       0.69       0.0      0.11      9.46       5.58      0.48   \n",
       "\n",
       "   Cr2O3_Plag  Sample_ID_Plag  Si_Plag_cat_prop  Mg_Plag_cat_prop  \\\n",
       "0         0.0               0          0.953660          0.000744   \n",
       "1         0.0               1          0.940345          0.001241   \n",
       "2         0.0               2          0.958653          0.001737   \n",
       "3         0.0               3          0.951996          0.001489   \n",
       "4         0.0               4          0.943674          0.002729   \n",
       "\n",
       "   Fet_Plag_cat_prop  Ca_Plag_cat_prop  Al_Plag_cat_prop  Na_Plag_cat_prop  \\\n",
       "0           0.005985          0.148545          0.521768          0.197164   \n",
       "1           0.006542          0.159601          0.527653          0.182643   \n",
       "2           0.006959          0.151576          0.515884          0.202327   \n",
       "3           0.008630          0.161027          0.529614          0.180061   \n",
       "4           0.009604          0.168695          0.541383          0.180061   \n",
       "\n",
       "   K_Plag_cat_prop  Mn_Plag_cat_prop  Ti_Plag_cat_prop  Cr_Plag_cat_prop  \\\n",
       "0         0.010404               0.0          0.001127               0.0   \n",
       "1         0.009979               0.0          0.001502               0.0   \n",
       "2         0.008493               0.0          0.001377               0.0   \n",
       "3         0.017835               0.0          0.002003               0.0   \n",
       "4         0.010192               0.0          0.001753               0.0   \n",
       "\n",
       "        sum  Si_Plag_cat_frac  Mg_Plag_cat_frac  Fet_Plag_cat_frac  \\\n",
       "0  1.839397          0.518464          0.000405           0.003254   \n",
       "1  1.829506          0.513989          0.000678           0.003576   \n",
       "2  1.847006          0.519031          0.000940           0.003768   \n",
       "3  1.852655          0.513855          0.000804           0.004658   \n",
       "4  1.858092          0.507873          0.001469           0.005169   \n",
       "\n",
       "   Ca_Plag_cat_frac  Al_Plag_cat_frac  Na_Plag_cat_frac  K_Plag_cat_frac  \\\n",
       "0          0.080757          0.283663          0.107189         0.005656   \n",
       "1          0.087237          0.288413          0.099832         0.005455   \n",
       "2          0.082066          0.279308          0.109543         0.004598   \n",
       "3          0.086917          0.285868          0.097191         0.009627   \n",
       "4          0.090790          0.291365          0.096907         0.005485   \n",
       "\n",
       "   Mn_Plag_cat_frac  Ti_Plag_cat_frac  Cr_Plag_cat_frac   An_Plag   Ab_Plag  \\\n",
       "0               0.0          0.000613               0.0  0.417129  0.553656   \n",
       "1               0.0          0.000821               0.0  0.453125  0.518543   \n",
       "2               0.0          0.000746               0.0  0.418261  0.558303   \n",
       "3               0.0          0.001081               0.0  0.448640  0.501670   \n",
       "4               0.0          0.000943               0.0  0.469971  0.501636   \n",
       "\n",
       "    Or_Plag  SiO2_Liq  TiO2_Liq  Al2O3_Liq  FeOt_Liq  MnO_Liq  MgO_Liq  \\\n",
       "0  0.029215      49.1      3.22       14.4      14.8     0.14     3.20   \n",
       "1  0.028332      49.2      3.89       15.3      13.7     0.12     3.88   \n",
       "2  0.023435      49.6      3.79       15.8      13.0     0.14     4.26   \n",
       "3  0.049691      47.1      4.21       12.0      17.8     0.18     3.40   \n",
       "4  0.028393      48.1      3.88       13.2      16.4     0.16     4.02   \n",
       "\n",
       "   CaO_Liq  Na2O_Liq  K2O_Liq  Cr2O3_Liq  P2O5_Liq  H2O_Liq  Fe3Fet_Liq  \\\n",
       "0     6.72      3.34     1.70        0.0      1.13      0.0         0.0   \n",
       "1     6.76      3.44     1.22        0.0      0.83      0.0         0.0   \n",
       "2     6.59      3.65     1.04        0.0      0.63      0.0         0.0   \n",
       "3     7.28      2.93     2.02        0.0      2.32      0.0         0.0   \n",
       "4     6.51      3.36     1.36        0.0      1.59      0.0         0.0   \n",
       "\n",
       "   NiO_Liq  CoO_Liq  CO2_Liq  Sample_ID_Liq  SiO2_Liq_mol_frac  \\\n",
       "0      0.0      0.0      0.0              0           0.549988   \n",
       "1      0.0      0.0      0.0              1           0.545500   \n",
       "2      0.0      0.0      0.0              2           0.547269   \n",
       "3      0.0      0.0      0.0              3           0.521269   \n",
       "4      0.0      0.0      0.0              4           0.531999   \n",
       "\n",
       "   MgO_Liq_mol_frac  MnO_Liq_mol_frac  FeOt_Liq_mol_frac  CaO_Liq_mol_frac  \\\n",
       "0          0.053436          0.001328           0.138640          0.080652   \n",
       "1          0.064131          0.001127           0.127030          0.080306   \n",
       "2          0.070071          0.001308           0.119955          0.077907   \n",
       "3          0.056096          0.001687           0.164747          0.086327   \n",
       "4          0.066283          0.001499           0.151693          0.077147   \n",
       "\n",
       "   Al2O3_Liq_mol_frac  Na2O_Liq_mol_frac  K2O_Liq_mol_frac  TiO2_Liq_mol_frac  \\\n",
       "0            0.095052           0.036269          0.012146           0.027130   \n",
       "1            0.099965           0.036975          0.008628           0.032442   \n",
       "2            0.102731           0.039042          0.007319           0.031455   \n",
       "3            0.078262           0.031436          0.014260           0.035047   \n",
       "4            0.086033           0.036027          0.009595           0.032280   \n",
       "\n",
       "   P2O5_Liq_mol_frac  Cr2O3_Liq_mol_frac  Si_Liq_cat_frac  Mg_Liq_cat_frac  \\\n",
       "0           0.005358                 0.0         0.478739         0.046513   \n",
       "1           0.003896                 0.0         0.474569         0.055792   \n",
       "2           0.002943                 0.0         0.475045         0.060823   \n",
       "3           0.010869                 0.0         0.459338         0.049431   \n",
       "4           0.007444                 0.0         0.467035         0.058189   \n",
       "\n",
       "   Mn_Liq_cat_frac  Fet_Liq_cat_frac  Ca_Liq_cat_frac  Al_Liq_cat_frac  \\\n",
       "0         0.001156          0.120680         0.070204         0.165477   \n",
       "1         0.000980          0.110512         0.069864         0.173933   \n",
       "2         0.001136          0.104124         0.067626         0.178348   \n",
       "3         0.001487          0.145174         0.076070         0.137927   \n",
       "4         0.001316          0.133169         0.067727         0.151055   \n",
       "\n",
       "   Na_Liq_cat_frac  K_Liq_cat_frac  Ti_Liq_cat_frac  P_Liq_cat_frac  \\\n",
       "0         0.063141        0.021146         0.023616        0.009328   \n",
       "1         0.064334        0.015012         0.028224        0.006778   \n",
       "2         0.067779        0.012707         0.027304        0.005108   \n",
       "3         0.055402        0.025132         0.030883        0.019156   \n",
       "4         0.063254        0.016846         0.028338        0.013071   \n",
       "\n",
       "   Cr_Liq_cat_frac  Mg_Number_Liq_NoFe3  Mg_Number_Liq_Fe3         P     T  \n",
       "0              0.0             0.278194           0.278194  4.041798  1300  \n",
       "1              0.0             0.335475           0.335475  3.060993  1300  \n",
       "2              0.0             0.368736           0.368736  3.936693  1300  \n",
       "3              0.0             0.254001           0.254001  2.432249  1300  \n",
       "4              0.0             0.304076           0.304076  0.986835  1300  "
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Press=pt.calculate_fspar_liq_press(liq_comps=Liqs_PL, plag_comps=Plags, \n",
    "                                   equationP=\"P_Put2008_eq25\", T=1300, eq_tests=True)\n",
    "Press.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f11830e4-779b-47f8-b999-710b14a08460",
   "metadata": {},
   "source": [
    "## Example 4 - Kspar-Liquid thermometry"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "f8590dd5-d90b-4832-9aa0-8573c65c315b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    931.611608\n",
       "1    874.979583\n",
       "2    700.236443\n",
       "3    745.871566\n",
       "4    795.809510\n",
       "dtype: float64"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T_KL_24=pt.calculate_fspar_liq_temp(kspar_comps=Kspars, liq_comps=Liqs_KL, \n",
    "                                    equationT=\"T_Put2008_eq24b\", P=5)-273.15\n",
    "T_KL_24.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "2c926591-421f-449a-aef0-5663267610b6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sorry, no equilibrium tests implemented for Kspar-Liquid\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0    931.611608\n",
       "1    874.979583\n",
       "2    700.236443\n",
       "3    745.871566\n",
       "4    795.809510\n",
       "dtype: float64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Currently, we haven't implemented any equilibrium tests for Kfeldspar. \n",
    "T_KL_24=pt.calculate_fspar_liq_temp(kspar_comps=Kspars, liq_comps=Liqs_KL, \n",
    "                                    equationT=\"T_Put2008_eq24b\", P=5, eq_tests=True)-273.15\n",
    "T_KL_24.head()"
   ]
  }
 ],
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