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Created January 6, 2017 23:28
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Notebook showing core design ideas for alchemlyb: https://github.com/alchemistry/alchemlyb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# ``alchemlyb``: the (stupid) simple alchemistry library"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`alchemlyb` is a library that seeks to make doing alchemical free energy calculations easier and less error prone. It includes functions for parsing the necessary data from formats common to existing MD engines, subsampling these data, and fitting these data with an estimator to obtain free energies. These functions are simple in usage and pure in scope, and can be chained together to build customized analyses of data as needed.\n",
"\n",
"`alchemlyb` seeks to be as boring and simple as possible to enable more complex work. Its components allow work at all scales, from use on small systems using a single workstation to larger datasets that require distributed computing using libraries such as `dask`."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Obtaining the solvation free energy of Na$^+$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this example we'll be using an existing dataset. We performed molecular dynamics simulations of a solvated Na$^+$ ion, with $\\lambda$ windows for switching off the Coulomb interaction of the ion with the surroundings, then followed by switching off the VDW interaction (with soft-cores). An MDP file showing the parameters used for the first window (full interactions) is shown below:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"; Gromacs mdp file\r\n",
"\r\n",
"include = -I. -I.. -I../top\r\n",
"define =\r\n",
"\r\n",
"integrator = sd\r\n",
"tinit = 0.0\r\n",
"dt = 0.002\r\n",
"nsteps = 25000000\r\n",
"\r\n",
"nstxout = 50000\r\n",
"nstvout = 50000\r\n",
"nstfout = 0\r\n",
"; Output frequency for energies to log file and energy file\r\n",
"nstlog = 500\r\n",
"nstenergy = 100\r\n",
"; Output frequency and precision for xtc file\r\n",
"nstxout-compressed = 500\r\n",
"compressed-x-precision = 1000\r\n",
"\r\n",
"; center of mass motion removal\r\n",
"comm-mode = Linear ; translation only \r\n",
"nstcomm = 1000 ; frequency\r\n",
"comm-grps = SYSTEM\r\n",
"\r\n",
"; Selection of energy groups\r\n",
";energygrps = __main__ __environment__\r\n",
"\r\n",
"; Overall cutoff scheme to use (Verlet = GPU)\r\n",
"cutoff-scheme = Verlet ; gromacs 5.x CHARMM\r\n",
"\r\n",
"; NEIGHBORSEARCHING PARAMETERS\r\n",
"; nblist update frequency\r\n",
"nstlist = 20 ; frequency\r\n",
"; ns algorithm (simple or grid)\r\n",
"ns_type = grid ; performance choice\r\n",
"; Periodic boundary conditions: xyz, no, xy\r\n",
"pbc = xyz\r\n",
"periodic_molecules = no\r\n",
"; nblist cut-off\r\n",
";rlist = 1.2 ; gromacs 5.x CHARMM; Piggot suggested 1.4\r\n",
"\r\n",
"; OPTIONS FOR ELECTROSTATICS AND VDW\r\n",
"; Method for doing electrostatics\r\n",
"coulombtype = PME ; gromacs 5.x CHARMM\r\n",
"rcoulomb-switch = 0\r\n",
"rcoulomb = 1.2 ; gromacs 5.x CHARMM must equal rvdw for Verlet\r\n",
"coulomb-modifier = potential-shift-verlet\r\n",
"; Relative dielectric constant for the medium and the reaction field\r\n",
"epsilon_r = 1\r\n",
"epsilon_rf = 1\r\n",
"; Method for doing Van der Waals\r\n",
"vdwtype = cutoff ; gromacs 5.x CHARMM\r\n",
"rvdw-switch = 1.0 ; gromacs 5.x CHARMM\r\n",
"rvdw = 1.2 ; gromacs 5.x CHARMM\r\n",
"vdw-modifier = force-switch ; gromacs 5.x CHARMM\r\n",
"; Apply long range dispersion corrections for Energy and Pressure\r\n",
"DispCorr = no ; gromacs 5.x CHARMM Piggot\r\n",
"; Seperate tables between energy group pairs\r\n",
"energygrp_table =\r\n",
"; Spacing for the PME/PPPM FFT grid\r\n",
"fourierspacing = 0.12 ; Piggot\r\n",
"; FFT grid size, when a value is 0 fourierspacing will be used\r\n",
"fourier_nx = 0\r\n",
"fourier_ny = 0\r\n",
"fourier_nz = 0\r\n",
"; EWALD/PME/PPPM parameters\r\n",
"pme_order = 4 ; Piggot\r\n",
"ewald_rtol = 1e-05\r\n",
"ewald_geometry = 3d\r\n",
"epsilon_surface = 0\r\n",
"optimize_fft = yes\r\n",
"\r\n",
"; OPTIONS FOR WEAK COUPLING ALGORITHMS\r\n",
"; Temperature coupling\r\n",
"Tcoupl = no ; for langevin dynamics\r\n",
"tc-grps = SYSTEM\r\n",
"tau_t = 0.1\r\n",
"ref_t = 310 ; for us\r\n",
"; Pressure coupling\r\n",
"Pcoupl = parrinello-rahman ; Piggot\r\n",
"Pcoupltype = isotropic\r\n",
"; Time constant (ps), compressibility (1/bar) and reference P (bar)\r\n",
"tau_p = 5.0 ; Piggot\r\n",
"compressibility = 4.6e-5\r\n",
"ref_p = 1.0 ; Piggot\r\n",
"; Scaling of reference coordinates, No, All or COM\r\n",
"refcoord_scaling = All\r\n",
"\r\n",
"; Generate a random starting seed for Langevin\r\n",
"; (required for restarts, according to the manual)\r\n",
"ld_seed = -1\r\n",
"; Brownian dynamics friction coefficient [amu/ps]. When bd_fric=0, the friction\r\n",
"; coefficient for each particle is calculated as mass/tau_t.\r\n",
"bd_fric = 0\r\n",
"\r\n",
"; GENERATE VELOCITIES FOR STARTUP RUN\r\n",
"gen_vel = yes\r\n",
"gen-temp = 310\r\n",
"gen_seed = 418613\r\n",
"\r\n",
"; OPTIONS FOR BONDS\r\n",
"constraints = h-bonds ; gromacs 5.x CHARMM\r\n",
"constraint-algorithm = Lincs\r\n",
"lincs-order = 4\r\n",
"lincs-iter = 2 ; Piggot\r\n",
"\r\n",
"; Distance restraints type: No, Simple or Ensemble\r\n",
"; (use simple for runs with distant restraints)\r\n",
"disre = No\r\n",
"\r\n",
"\r\n",
"; Free energy control stuff\r\n",
"free-energy = yes\r\n",
"sc-alpha = 0.5\r\n",
"sc-power = 1 \r\n",
"sc-sigma = 0.3\r\n",
"init-lambda-state = 0\r\n",
"coul-lambdas = 0.00 0.025 0.05 0.075 0.10 0.125 0.15 0.175 0.20 0.225 0.25 0.275 0.30 0.325 0.35 0.375 0.40 0.425 0.45 0.475 0.50 0.525 0.55 0.575 0.60 0.625 0.65 0.675 0.70 0.725 0.75 0.775 0.80 0.825 0.85 0.875 0.90 0.925 0.95 0.975 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00\r\n",
"vdw-lambdas = 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.025 0.05 0.075 0.10 0.125 0.15 0.175 0.20 0.225 0.25 0.275 0.30 0.325 0.35 0.375 0.40 0.425 0.45 0.475 0.50 0.525 0.55 0.575 0.60 0.625 0.65 0.675 0.70 0.725 0.75 0.775 0.80 0.825 0.85 0.875 0.90 0.925 0.95 0.975 1.00\r\n",
";nstdhdl = 20\r\n",
"calc-lambda-neighbors = -1\r\n",
"dhdl-derivatives = yes\r\n",
"dhdl-print-energy = potential\r\n",
"separate-dhdl-file = no"
]
}
],
"source": [
"cat na/g2i_state_0_x1/WORK/md.mdp"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We went for overkill with the number of windows. Each window was performed to 50 ns."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Parsing data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Before we can obtain free energies from a set of MD windows using an estimator such as MBAR, we must parse the data for each window from an existing file format. As an example, we'll parse from a GROMACS XVG file that gives the $\\Delta H_{\\lambda}$ for each $\\lambda$ window from the current window, along with the potential energy $U$ for the current window and the product $pV$ for $\\text{pressure}\\times\\text{volume}$. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from alchemlyb.parsing import gmx"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For a start we'll parse just a single XVG file:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"dhdl.part0001.xvg dhdl.part0002.xvg dhdl.part0003.xvg dhdl.part0004.xvg\r\n"
]
}
],
"source": [
"%ls na/g2i_state_0_x1/WORK/dhdl/"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
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"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>u (0.0000, 0.0000)</th>\n",
" <th>u (0.0250, 0.0000)</th>\n",
" <th>u (0.0500, 0.0000)</th>\n",
" <th>u (0.0750, 0.0000)</th>\n",
" <th>u (0.1000, 0.0000)</th>\n",
" <th>u (0.1250, 0.0000)</th>\n",
" <th>u (0.1500, 0.0000)</th>\n",
" <th>u (0.1750, 0.0000)</th>\n",
" <th>u (0.2000, 0.0000)</th>\n",
" <th>u (0.2250, 0.0000)</th>\n",
" <th>...</th>\n",
" <th>u (1.0000, 0.7750)</th>\n",
" <th>u (1.0000, 0.8000)</th>\n",
" <th>u (1.0000, 0.8250)</th>\n",
" <th>u (1.0000, 0.8500)</th>\n",
" <th>u (1.0000, 0.8750)</th>\n",
" <th>u (1.0000, 0.9000)</th>\n",
" <th>u (1.0000, 0.9250)</th>\n",
" <th>u (1.0000, 0.9500)</th>\n",
" <th>u (1.0000, 0.9750)</th>\n",
" <th>u (1.0000, 1.0000)</th>\n",
" </tr>\n",
" <tr>\n",
" <th>time (ps)</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
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" <tr>\n",
" <th>0.0</th>\n",
" <td>-21978.380745</td>\n",
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" <td>-21922.612935</td>\n",
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" <td>-21906.679404</td>\n",
" <td>...</td>\n",
" <td>-21680.815127</td>\n",
" <td>-21680.871628</td>\n",
" <td>-21680.919652</td>\n",
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" <td>-21680.993223</td>\n",
" <td>-21681.020005</td>\n",
" <td>-21681.040871</td>\n",
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" <td>-21681.072650</td>\n",
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" <tr>\n",
" <th>0.1</th>\n",
" <td>-22200.884863</td>\n",
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" <td>-22180.290450</td>\n",
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" <td>-22152.831358</td>\n",
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" <td>-22139.101829</td>\n",
" <td>...</td>\n",
" <td>-21940.521284</td>\n",
" <td>-21940.555239</td>\n",
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" <td>-21940.604923</td>\n",
" <td>-21940.621665</td>\n",
" <td>-21940.633552</td>\n",
" <td>-21940.641009</td>\n",
" <td>-21940.644419</td>\n",
" <td>-21940.644066</td>\n",
" <td>-21940.640276</td>\n",
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" <tr>\n",
" <th>0.2</th>\n",
" <td>-22305.841469</td>\n",
" <td>-22299.223444</td>\n",
" <td>-22292.605325</td>\n",
" <td>-22285.986897</td>\n",
" <td>-22279.368672</td>\n",
" <td>-22272.750553</td>\n",
" <td>-22266.132419</td>\n",
" <td>-22259.514277</td>\n",
" <td>-22252.895957</td>\n",
" <td>-22246.277555</td>\n",
" <td>...</td>\n",
" <td>-22051.699041</td>\n",
" <td>-22051.718956</td>\n",
" <td>-22051.733827</td>\n",
" <td>-22051.744035</td>\n",
" <td>-22051.750002</td>\n",
" <td>-22051.752039</td>\n",
" <td>-22051.750475</td>\n",
" <td>-22051.745622</td>\n",
" <td>-22051.737688</td>\n",
" <td>-22051.726960</td>\n",
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" <tr>\n",
" <th>0.3</th>\n",
" <td>-22244.026029</td>\n",
" <td>-22236.640472</td>\n",
" <td>-22229.255388</td>\n",
" <td>-22221.869901</td>\n",
" <td>-22214.484368</td>\n",
" <td>-22207.099499</td>\n",
" <td>-22199.713819</td>\n",
" <td>-22192.328642</td>\n",
" <td>-22184.943205</td>\n",
" <td>-22177.557885</td>\n",
" <td>...</td>\n",
" <td>-21960.759921</td>\n",
" <td>-21960.784740</td>\n",
" <td>-21960.803918</td>\n",
" <td>-21960.817889</td>\n",
" <td>-21960.827080</td>\n",
" <td>-21960.831910</td>\n",
" <td>-21960.832690</td>\n",
" <td>-21960.829803</td>\n",
" <td>-21960.823479</td>\n",
" <td>-21960.814056</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.4</th>\n",
" <td>-22253.855648</td>\n",
" <td>-22246.721389</td>\n",
" <td>-22239.586799</td>\n",
" <td>-22232.452446</td>\n",
" <td>-22225.317975</td>\n",
" <td>-22218.183529</td>\n",
" <td>-22211.049340</td>\n",
" <td>-22203.914888</td>\n",
" <td>-22196.780208</td>\n",
" <td>-22189.645950</td>\n",
" <td>...</td>\n",
" <td>-21984.734395</td>\n",
" <td>-21984.762244</td>\n",
" <td>-21984.783913</td>\n",
" <td>-21984.799967</td>\n",
" <td>-21984.810908</td>\n",
" <td>-21984.817135</td>\n",
" <td>-21984.819079</td>\n",
" <td>-21984.817112</td>\n",
" <td>-21984.811521</td>\n",
" <td>-21984.802667</td>\n",
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" <tr>\n",
" <th>0.5</th>\n",
" <td>-22246.462519</td>\n",
" <td>-22239.333829</td>\n",
" <td>-22232.205115</td>\n",
" <td>-22225.076496</td>\n",
" <td>-22217.947629</td>\n",
" <td>-22210.819162</td>\n",
" <td>-22203.690675</td>\n",
" <td>-22196.561791</td>\n",
" <td>-22189.433035</td>\n",
" <td>-22182.304286</td>\n",
" <td>...</td>\n",
" <td>-21984.253831</td>\n",
" <td>-21984.307822</td>\n",
" <td>-21984.353265</td>\n",
" <td>-21984.390891</td>\n",
" <td>-21984.421390</td>\n",
" <td>-21984.445402</td>\n",
" <td>-21984.463470</td>\n",
" <td>-21984.476118</td>\n",
" <td>-21984.483788</td>\n",
" <td>-21984.486892</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.6</th>\n",
" <td>-22162.796158</td>\n",
" <td>-22155.228823</td>\n",
" <td>-22147.661725</td>\n",
" <td>-22140.094697</td>\n",
" <td>-22132.527410</td>\n",
" <td>-22124.960171</td>\n",
" <td>-22117.392858</td>\n",
" <td>-22109.825763</td>\n",
" <td>-22102.258618</td>\n",
" <td>-22094.691399</td>\n",
" <td>...</td>\n",
" <td>-21876.346942</td>\n",
" <td>-21876.387175</td>\n",
" <td>-21876.420328</td>\n",
" <td>-21876.446989</td>\n",
" <td>-21876.467711</td>\n",
" <td>-21876.482986</td>\n",
" <td>-21876.493240</td>\n",
" <td>-21876.498873</td>\n",
" <td>-21876.500270</td>\n",
" <td>-21876.497810</td>\n",
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" <tr>\n",
" <th>0.7</th>\n",
" <td>-22218.066510</td>\n",
" <td>-22210.267316</td>\n",
" <td>-22202.468478</td>\n",
" <td>-22194.669568</td>\n",
" <td>-22186.870446</td>\n",
" <td>-22179.071629</td>\n",
" <td>-22171.272638</td>\n",
" <td>-22163.473445</td>\n",
" <td>-22155.674546</td>\n",
" <td>-22147.875481</td>\n",
" <td>...</td>\n",
" <td>-21926.014858</td>\n",
" <td>-21926.056084</td>\n",
" <td>-21926.089733</td>\n",
" <td>-21926.116469</td>\n",
" <td>-21926.136857</td>\n",
" <td>-21926.151468</td>\n",
" <td>-21926.160799</td>\n",
" <td>-21926.165253</td>\n",
" <td>-21926.165276</td>\n",
" <td>-21926.161202</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.8</th>\n",
" <td>-22278.099050</td>\n",
" <td>-22270.605185</td>\n",
" <td>-22263.111462</td>\n",
" <td>-22255.617763</td>\n",
" <td>-22248.123780</td>\n",
" <td>-22240.630529</td>\n",
" <td>-22233.136476</td>\n",
" <td>-22225.642705</td>\n",
" <td>-22218.148887</td>\n",
" <td>-22210.655096</td>\n",
" <td>...</td>\n",
" <td>-21995.220610</td>\n",
" <td>-21995.254259</td>\n",
" <td>-21995.281041</td>\n",
" <td>-21995.301573</td>\n",
" <td>-21995.316351</td>\n",
" <td>-21995.325868</td>\n",
" <td>-21995.330605</td>\n",
" <td>-21995.330912</td>\n",
" <td>-21995.327171</td>\n",
" <td>-21995.319734</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.9</th>\n",
" <td>-22163.401822</td>\n",
" <td>-22155.920695</td>\n",
" <td>-22148.439614</td>\n",
" <td>-22140.958415</td>\n",
" <td>-22133.476969</td>\n",
" <td>-22125.995698</td>\n",
" <td>-22118.514642</td>\n",
" <td>-22111.033418</td>\n",
" <td>-22103.552353</td>\n",
" <td>-22096.071024</td>\n",
" <td>...</td>\n",
" <td>-21882.287598</td>\n",
" <td>-21882.321321</td>\n",
" <td>-21882.348056</td>\n",
" <td>-21882.368370</td>\n",
" <td>-21882.382842</td>\n",
" <td>-21882.391959</td>\n",
" <td>-21882.396219</td>\n",
" <td>-21882.395982</td>\n",
" <td>-21882.391672</td>\n",
" <td>-21882.383598</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.0</th>\n",
" <td>-22062.438584</td>\n",
" <td>-22054.535789</td>\n",
" <td>-22046.632852</td>\n",
" <td>-22038.730200</td>\n",
" <td>-22030.827143</td>\n",
" <td>-22022.924564</td>\n",
" <td>-22015.021459</td>\n",
" <td>-22007.118781</td>\n",
" <td>-21999.215878</td>\n",
" <td>-21991.313014</td>\n",
" <td>...</td>\n",
" <td>-21763.310194</td>\n",
" <td>-21763.349741</td>\n",
" <td>-21763.382016</td>\n",
" <td>-21763.407592</td>\n",
" <td>-21763.427056</td>\n",
" <td>-21763.440911</td>\n",
" <td>-21763.449625</td>\n",
" <td>-21763.453602</td>\n",
" <td>-21763.453272</td>\n",
" <td>-21763.448938</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.1</th>\n",
" <td>-22229.887855</td>\n",
" <td>-22222.873149</td>\n",
" <td>-22215.857994</td>\n",
" <td>-22208.843265</td>\n",
" <td>-22201.828559</td>\n",
" <td>-22194.813760</td>\n",
" <td>-22187.798890</td>\n",
" <td>-22180.783911</td>\n",
" <td>-22173.769072</td>\n",
" <td>-22166.754385</td>\n",
" <td>...</td>\n",
" <td>-21960.380951</td>\n",
" <td>-21960.403255</td>\n",
" <td>-21960.419880</td>\n",
" <td>-21960.431317</td>\n",
" <td>-21960.437948</td>\n",
" <td>-21960.440148</td>\n",
" <td>-21960.438278</td>\n",
" <td>-21960.432668</td>\n",
" <td>-21960.423597</td>\n",
" <td>-21960.411329</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.2</th>\n",
" <td>-22279.607544</td>\n",
" <td>-22271.828011</td>\n",
" <td>-22264.048264</td>\n",
" <td>-22256.268422</td>\n",
" <td>-22248.488843</td>\n",
" <td>-22240.709259</td>\n",
" <td>-22232.929275</td>\n",
" <td>-22225.149577</td>\n",
" <td>-22217.369856</td>\n",
" <td>-22209.590108</td>\n",
" <td>...</td>\n",
" <td>-21989.242605</td>\n",
" <td>-21989.288262</td>\n",
" <td>-21989.325888</td>\n",
" <td>-21989.356177</td>\n",
" <td>-21989.379785</td>\n",
" <td>-21989.397260</td>\n",
" <td>-21989.409124</td>\n",
" <td>-21989.415875</td>\n",
" <td>-21989.417908</td>\n",
" <td>-21989.415661</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.3</th>\n",
" <td>-22177.736733</td>\n",
" <td>-22169.736196</td>\n",
" <td>-22161.735588</td>\n",
" <td>-22153.734885</td>\n",
" <td>-22145.734348</td>\n",
" <td>-22137.733671</td>\n",
" <td>-22129.733273</td>\n",
" <td>-22121.732938</td>\n",
" <td>-22113.732095</td>\n",
" <td>-22105.731841</td>\n",
" <td>...</td>\n",
" <td>-21877.760715</td>\n",
" <td>-21877.807695</td>\n",
" <td>-21877.846554</td>\n",
" <td>-21877.877976</td>\n",
" <td>-21877.902628</td>\n",
" <td>-21877.921049</td>\n",
" <td>-21877.933790</td>\n",
" <td>-21877.941298</td>\n",
" <td>-21877.944045</td>\n",
" <td>-21877.942411</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.4</th>\n",
" <td>-21968.790540</td>\n",
" <td>-21961.338305</td>\n",
" <td>-21953.886284</td>\n",
" <td>-21946.433648</td>\n",
" <td>-21938.981554</td>\n",
" <td>-21931.529131</td>\n",
" <td>-21924.076991</td>\n",
" <td>-21916.624496</td>\n",
" <td>-21909.172366</td>\n",
" <td>-21901.720264</td>\n",
" <td>...</td>\n",
" <td>-21680.856155</td>\n",
" <td>-21680.875713</td>\n",
" <td>-21680.890041</td>\n",
" <td>-21680.899558</td>\n",
" <td>-21680.904675</td>\n",
" <td>-21680.905692</td>\n",
" <td>-21680.902968</td>\n",
" <td>-21680.896811</td>\n",
" <td>-21680.887434</td>\n",
" <td>-21680.875123</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.5</th>\n",
" <td>-22026.747281</td>\n",
" <td>-22018.643337</td>\n",
" <td>-22010.539369</td>\n",
" <td>-22002.435142</td>\n",
" <td>-21994.331458</td>\n",
" <td>-21986.227398</td>\n",
" <td>-21978.123334</td>\n",
" <td>-21970.019553</td>\n",
" <td>-21961.915352</td>\n",
" <td>-21953.811203</td>\n",
" <td>...</td>\n",
" <td>-21714.275206</td>\n",
" <td>-21714.301418</td>\n",
" <td>-21714.321949</td>\n",
" <td>-21714.337224</td>\n",
" <td>-21714.347691</td>\n",
" <td>-21714.353705</td>\n",
" <td>-21714.355622</td>\n",
" <td>-21714.353775</td>\n",
" <td>-21714.348471</td>\n",
" <td>-21714.339971</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.6</th>\n",
" <td>-22157.443600</td>\n",
" <td>-22148.883209</td>\n",
" <td>-22140.323387</td>\n",
" <td>-22131.763184</td>\n",
" <td>-22123.203481</td>\n",
" <td>-22114.643163</td>\n",
" <td>-22106.083313</td>\n",
" <td>-22097.523351</td>\n",
" <td>-22088.963314</td>\n",
" <td>-22080.403484</td>\n",
" <td>...</td>\n",
" <td>-21840.924376</td>\n",
" <td>-21840.985187</td>\n",
" <td>-21841.036667</td>\n",
" <td>-21841.079647</td>\n",
" <td>-21841.114883</td>\n",
" <td>-21841.143062</td>\n",
" <td>-21841.164754</td>\n",
" <td>-21841.180571</td>\n",
" <td>-21841.190992</td>\n",
" <td>-21841.196463</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.7</th>\n",
" <td>-22104.499609</td>\n",
" <td>-22095.947935</td>\n",
" <td>-22087.396118</td>\n",
" <td>-22078.844446</td>\n",
" <td>-22070.292485</td>\n",
" <td>-22061.740740</td>\n",
" <td>-22053.188762</td>\n",
" <td>-22044.636971</td>\n",
" <td>-22036.085124</td>\n",
" <td>-22027.533368</td>\n",
" <td>...</td>\n",
" <td>-21780.651903</td>\n",
" <td>-21780.698627</td>\n",
" <td>-21780.737533</td>\n",
" <td>-21780.769262</td>\n",
" <td>-21780.794434</td>\n",
" <td>-21780.813592</td>\n",
" <td>-21780.827233</td>\n",
" <td>-21780.835780</td>\n",
" <td>-21780.839687</td>\n",
" <td>-21780.839311</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.8</th>\n",
" <td>-22040.202814</td>\n",
" <td>-22031.887572</td>\n",
" <td>-22023.572639</td>\n",
" <td>-22015.257184</td>\n",
" <td>-22006.942108</td>\n",
" <td>-21998.627147</td>\n",
" <td>-21990.311884</td>\n",
" <td>-21981.996618</td>\n",
" <td>-21973.681402</td>\n",
" <td>-21965.366310</td>\n",
" <td>...</td>\n",
" <td>-21725.030824</td>\n",
" <td>-21725.071911</td>\n",
" <td>-21725.105750</td>\n",
" <td>-21725.132908</td>\n",
" <td>-21725.154010</td>\n",
" <td>-21725.169494</td>\n",
" <td>-21725.179892</td>\n",
" <td>-21725.185548</td>\n",
" <td>-21725.186922</td>\n",
" <td>-21725.184319</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.9</th>\n",
" <td>-22188.328451</td>\n",
" <td>-22180.545141</td>\n",
" <td>-22172.762091</td>\n",
" <td>-22164.978805</td>\n",
" <td>-22157.195494</td>\n",
" <td>-22149.412445</td>\n",
" <td>-22141.629124</td>\n",
" <td>-22133.845683</td>\n",
" <td>-22126.062536</td>\n",
" <td>-22118.279292</td>\n",
" <td>...</td>\n",
" <td>-21900.627244</td>\n",
" <td>-21900.682441</td>\n",
" <td>-21900.728738</td>\n",
" <td>-21900.766934</td>\n",
" <td>-21900.797716</td>\n",
" <td>-21900.821728</td>\n",
" <td>-21900.839559</td>\n",
" <td>-21900.851753</td>\n",
" <td>-21900.858764</td>\n",
" <td>-21900.861038</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.0</th>\n",
" <td>-22167.469868</td>\n",
" <td>-22159.754491</td>\n",
" <td>-22152.039540</td>\n",
" <td>-22144.324472</td>\n",
" <td>-22136.609591</td>\n",
" <td>-22128.894452</td>\n",
" <td>-22121.179476</td>\n",
" <td>-22113.464482</td>\n",
" <td>-22105.749339</td>\n",
" <td>-22098.034321</td>\n",
" <td>...</td>\n",
" <td>-21875.979435</td>\n",
" <td>-21876.020925</td>\n",
" <td>-21876.055048</td>\n",
" <td>-21876.082419</td>\n",
" <td>-21876.103614</td>\n",
" <td>-21876.119149</td>\n",
" <td>-21876.129473</td>\n",
" <td>-21876.135036</td>\n",
" <td>-21876.136224</td>\n",
" <td>-21876.133380</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.1</th>\n",
" <td>-22328.026510</td>\n",
" <td>-22320.270641</td>\n",
" <td>-22312.514867</td>\n",
" <td>-22304.759236</td>\n",
" <td>-22297.003319</td>\n",
" <td>-22289.247382</td>\n",
" <td>-22281.491632</td>\n",
" <td>-22273.735717</td>\n",
" <td>-22265.979822</td>\n",
" <td>-22258.223966</td>\n",
" <td>...</td>\n",
" <td>-22030.821305</td>\n",
" <td>-22030.850783</td>\n",
" <td>-22030.873992</td>\n",
" <td>-22030.891443</td>\n",
" <td>-22030.903614</td>\n",
" <td>-22030.910908</td>\n",
" <td>-22030.913728</td>\n",
" <td>-22030.912448</td>\n",
" <td>-22030.907358</td>\n",
" <td>-22030.898783</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.2</th>\n",
" <td>-22068.252943</td>\n",
" <td>-22059.987322</td>\n",
" <td>-22051.721274</td>\n",
" <td>-22043.455653</td>\n",
" <td>-22035.189795</td>\n",
" <td>-22026.923963</td>\n",
" <td>-22018.658175</td>\n",
" <td>-22010.392317</td>\n",
" <td>-22002.126432</td>\n",
" <td>-21993.860652</td>\n",
" <td>...</td>\n",
" <td>-21759.446741</td>\n",
" <td>-21759.497442</td>\n",
" <td>-21759.539614</td>\n",
" <td>-21759.574024</td>\n",
" <td>-21759.601349</td>\n",
" <td>-21759.622164</td>\n",
" <td>-21759.637058</td>\n",
" <td>-21759.646509</td>\n",
" <td>-21759.650983</td>\n",
" <td>-21759.650890</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.3</th>\n",
" <td>-22066.395206</td>\n",
" <td>-22058.356508</td>\n",
" <td>-22050.317478</td>\n",
" <td>-22042.278851</td>\n",
" <td>-22034.240034</td>\n",
" <td>-22026.201241</td>\n",
" <td>-22018.162473</td>\n",
" <td>-22010.123468</td>\n",
" <td>-22002.084887</td>\n",
" <td>-21994.046072</td>\n",
" <td>...</td>\n",
" <td>-21765.008300</td>\n",
" <td>-21765.058551</td>\n",
" <td>-21765.100487</td>\n",
" <td>-21765.134846</td>\n",
" <td>-21765.162268</td>\n",
" <td>-21765.183320</td>\n",
" <td>-21765.198595</td>\n",
" <td>-21765.208492</td>\n",
" <td>-21765.213512</td>\n",
" <td>-21765.214032</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.4</th>\n",
" <td>-22123.003768</td>\n",
" <td>-22115.285682</td>\n",
" <td>-22107.567430</td>\n",
" <td>-22099.849393</td>\n",
" <td>-22092.131068</td>\n",
" <td>-22084.413256</td>\n",
" <td>-22076.695040</td>\n",
" <td>-22068.976814</td>\n",
" <td>-22061.258700</td>\n",
" <td>-22053.540543</td>\n",
" <td>...</td>\n",
" <td>-21837.344783</td>\n",
" <td>-21837.398277</td>\n",
" <td>-21837.442960</td>\n",
" <td>-21837.479616</td>\n",
" <td>-21837.508982</td>\n",
" <td>-21837.531620</td>\n",
" <td>-21837.548125</td>\n",
" <td>-21837.559042</td>\n",
" <td>-21837.564819</td>\n",
" <td>-21837.565886</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.5</th>\n",
" <td>-22109.284130</td>\n",
" <td>-22101.624908</td>\n",
" <td>-22093.965709</td>\n",
" <td>-22086.306627</td>\n",
" <td>-22078.647619</td>\n",
" <td>-22070.988299</td>\n",
" <td>-22063.329550</td>\n",
" <td>-22055.670094</td>\n",
" <td>-22048.010963</td>\n",
" <td>-22040.352015</td>\n",
" <td>...</td>\n",
" <td>-21823.527037</td>\n",
" <td>-21823.573617</td>\n",
" <td>-21823.612074</td>\n",
" <td>-21823.643166</td>\n",
" <td>-21823.667461</td>\n",
" <td>-21823.685575</td>\n",
" <td>-21823.698033</td>\n",
" <td>-21823.705304</td>\n",
" <td>-21823.707814</td>\n",
" <td>-21823.705967</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.6</th>\n",
" <td>-22332.059658</td>\n",
" <td>-22324.178223</td>\n",
" <td>-22316.296953</td>\n",
" <td>-22308.415729</td>\n",
" <td>-22300.534342</td>\n",
" <td>-22292.652954</td>\n",
" <td>-22284.771421</td>\n",
" <td>-22276.890035</td>\n",
" <td>-22269.008801</td>\n",
" <td>-22261.127318</td>\n",
" <td>...</td>\n",
" <td>-22029.459713</td>\n",
" <td>-22029.492133</td>\n",
" <td>-22029.518274</td>\n",
" <td>-22029.538663</td>\n",
" <td>-22029.553747</td>\n",
" <td>-22029.563931</td>\n",
" <td>-22029.569611</td>\n",
" <td>-22029.571175</td>\n",
" <td>-22029.568901</td>\n",
" <td>-22029.563101</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.7</th>\n",
" <td>-22172.190930</td>\n",
" <td>-22165.185535</td>\n",
" <td>-22158.180093</td>\n",
" <td>-22151.174746</td>\n",
" <td>-22144.169303</td>\n",
" <td>-22137.164073</td>\n",
" <td>-22130.158715</td>\n",
" <td>-22123.153346</td>\n",
" <td>-22116.148021</td>\n",
" <td>-22109.142730</td>\n",
" <td>...</td>\n",
" <td>-21907.875563</td>\n",
" <td>-21907.900072</td>\n",
" <td>-21907.918520</td>\n",
" <td>-21907.931471</td>\n",
" <td>-21907.939381</td>\n",
" <td>-21907.942695</td>\n",
" <td>-21907.941795</td>\n",
" <td>-21907.937061</td>\n",
" <td>-21907.928770</td>\n",
" <td>-21907.917263</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.8</th>\n",
" <td>-22294.201341</td>\n",
" <td>-22286.947752</td>\n",
" <td>-22279.694187</td>\n",
" <td>-22272.440644</td>\n",
" <td>-22265.187259</td>\n",
" <td>-22257.933787</td>\n",
" <td>-22250.680280</td>\n",
" <td>-22243.426669</td>\n",
" <td>-22236.173295</td>\n",
" <td>-22228.919680</td>\n",
" <td>...</td>\n",
" <td>-22020.997088</td>\n",
" <td>-22021.028277</td>\n",
" <td>-22021.052619</td>\n",
" <td>-22021.070710</td>\n",
" <td>-22021.083094</td>\n",
" <td>-22021.090272</td>\n",
" <td>-22021.092662</td>\n",
" <td>-22021.090671</td>\n",
" <td>-22021.084658</td>\n",
" <td>-22021.074974</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.9</th>\n",
" <td>-22238.092702</td>\n",
" <td>-22230.956671</td>\n",
" <td>-22223.820474</td>\n",
" <td>-22216.684630</td>\n",
" <td>-22209.548363</td>\n",
" <td>-22202.412401</td>\n",
" <td>-22195.276391</td>\n",
" <td>-22188.140337</td>\n",
" <td>-22181.004224</td>\n",
" <td>-22173.868182</td>\n",
" <td>...</td>\n",
" <td>-21966.172058</td>\n",
" <td>-21966.196780</td>\n",
" <td>-21966.215558</td>\n",
" <td>-21966.228912</td>\n",
" <td>-21966.237319</td>\n",
" <td>-21966.241129</td>\n",
" <td>-21966.240753</td>\n",
" <td>-21966.236559</td>\n",
" <td>-21966.228819</td>\n",
" <td>-21966.217831</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14982.1</th>\n",
" <td>-22404.691350</td>\n",
" <td>-22397.878712</td>\n",
" <td>-22391.066051</td>\n",
" <td>-22384.253366</td>\n",
" <td>-22377.440752</td>\n",
" <td>-22370.628128</td>\n",
" <td>-22363.815452</td>\n",
" <td>-22357.002732</td>\n",
" <td>-22350.190164</td>\n",
" <td>-22343.377457</td>\n",
" <td>...</td>\n",
" <td>-22142.969338</td>\n",
" <td>-22142.983332</td>\n",
" <td>-22142.992616</td>\n",
" <td>-22142.997586</td>\n",
" <td>-22142.998630</td>\n",
" <td>-22142.996023</td>\n",
" <td>-22142.990129</td>\n",
" <td>-22142.981179</td>\n",
" <td>-22142.969454</td>\n",
" <td>-22142.955177</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14982.2</th>\n",
" <td>-22370.847895</td>\n",
" <td>-22363.337169</td>\n",
" <td>-22355.826371</td>\n",
" <td>-22348.315477</td>\n",
" <td>-22340.804728</td>\n",
" <td>-22333.294262</td>\n",
" <td>-22325.783509</td>\n",
" <td>-22318.272379</td>\n",
" <td>-22310.761797</td>\n",
" <td>-22303.251067</td>\n",
" <td>...</td>\n",
" <td>-22091.411219</td>\n",
" <td>-22091.457210</td>\n",
" <td>-22091.495430</td>\n",
" <td>-22091.526592</td>\n",
" <td>-22091.551313</td>\n",
" <td>-22091.570185</td>\n",
" <td>-22091.583682</td>\n",
" <td>-22091.592280</td>\n",
" <td>-22091.596400</td>\n",
" <td>-22091.596447</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14982.3</th>\n",
" <td>-22240.989173</td>\n",
" <td>-22233.938395</td>\n",
" <td>-22226.887261</td>\n",
" <td>-22219.836316</td>\n",
" <td>-22212.785491</td>\n",
" <td>-22205.734535</td>\n",
" <td>-22198.683848</td>\n",
" <td>-22191.632962</td>\n",
" <td>-22184.581963</td>\n",
" <td>-22177.530864</td>\n",
" <td>...</td>\n",
" <td>-21977.866409</td>\n",
" <td>-21977.909008</td>\n",
" <td>-21977.944244</td>\n",
" <td>-21977.972780</td>\n",
" <td>-21977.995135</td>\n",
" <td>-21978.011900</td>\n",
" <td>-21978.023527</td>\n",
" <td>-21978.030441</td>\n",
" <td>-21978.033021</td>\n",
" <td>-21978.031698</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14982.4</th>\n",
" <td>-22335.681029</td>\n",
" <td>-22328.608565</td>\n",
" <td>-22321.536054</td>\n",
" <td>-22314.463757</td>\n",
" <td>-22307.390914</td>\n",
" <td>-22300.318474</td>\n",
" <td>-22293.245751</td>\n",
" <td>-22286.173263</td>\n",
" <td>-22279.100775</td>\n",
" <td>-22272.028026</td>\n",
" <td>...</td>\n",
" <td>-22061.557398</td>\n",
" <td>-22061.571346</td>\n",
" <td>-22061.580839</td>\n",
" <td>-22061.586240</td>\n",
" <td>-22061.587873</td>\n",
" <td>-22061.586027</td>\n",
" <td>-22061.581006</td>\n",
" <td>-22061.573025</td>\n",
" <td>-22061.562344</td>\n",
" <td>-22061.549157</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14982.5</th>\n",
" <td>-22458.388341</td>\n",
" <td>-22451.019890</td>\n",
" <td>-22443.651249</td>\n",
" <td>-22436.282609</td>\n",
" <td>-22428.913968</td>\n",
" <td>-22421.545529</td>\n",
" <td>-22414.176855</td>\n",
" <td>-22406.808108</td>\n",
" <td>-22399.439537</td>\n",
" <td>-22392.070946</td>\n",
" <td>...</td>\n",
" <td>-22180.394474</td>\n",
" <td>-22180.431060</td>\n",
" <td>-22180.460993</td>\n",
" <td>-22180.484814</td>\n",
" <td>-22180.503072</td>\n",
" <td>-22180.516213</td>\n",
" <td>-22180.524714</td>\n",
" <td>-22180.528908</td>\n",
" <td>-22180.529191</td>\n",
" <td>-22180.525874</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14982.6</th>\n",
" <td>-22320.267055</td>\n",
" <td>-22313.162406</td>\n",
" <td>-22306.057710</td>\n",
" <td>-22298.953013</td>\n",
" <td>-22291.848294</td>\n",
" <td>-22284.743667</td>\n",
" <td>-22277.638950</td>\n",
" <td>-22270.534252</td>\n",
" <td>-22263.429628</td>\n",
" <td>-22256.324895</td>\n",
" <td>...</td>\n",
" <td>-22052.984683</td>\n",
" <td>-22053.017859</td>\n",
" <td>-22053.044594</td>\n",
" <td>-22053.065386</td>\n",
" <td>-22053.080827</td>\n",
" <td>-22053.091314</td>\n",
" <td>-22053.097285</td>\n",
" <td>-22053.099132</td>\n",
" <td>-22053.097165</td>\n",
" <td>-22053.091741</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14982.7</th>\n",
" <td>-22138.768554</td>\n",
" <td>-22131.664382</td>\n",
" <td>-22124.559926</td>\n",
" <td>-22117.455849</td>\n",
" <td>-22110.351606</td>\n",
" <td>-22103.247600</td>\n",
" <td>-22096.143191</td>\n",
" <td>-22089.039012</td>\n",
" <td>-22081.934679</td>\n",
" <td>-22074.830509</td>\n",
" <td>...</td>\n",
" <td>-21868.640564</td>\n",
" <td>-21868.666139</td>\n",
" <td>-21868.685961</td>\n",
" <td>-21868.700525</td>\n",
" <td>-21868.710256</td>\n",
" <td>-21868.715559</td>\n",
" <td>-21868.716840</td>\n",
" <td>-21868.714376</td>\n",
" <td>-21868.708529</td>\n",
" <td>-21868.699552</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14982.8</th>\n",
" <td>-22281.980682</td>\n",
" <td>-22274.295491</td>\n",
" <td>-22266.610419</td>\n",
" <td>-22258.925085</td>\n",
" <td>-22251.239990</td>\n",
" <td>-22243.554939</td>\n",
" <td>-22235.869771</td>\n",
" <td>-22228.184580</td>\n",
" <td>-22220.499417</td>\n",
" <td>-22212.814319</td>\n",
" <td>...</td>\n",
" <td>-21995.854749</td>\n",
" <td>-21995.906159</td>\n",
" <td>-21995.949399</td>\n",
" <td>-21995.985178</td>\n",
" <td>-21996.014187</td>\n",
" <td>-21996.036942</td>\n",
" <td>-21996.054040</td>\n",
" <td>-21996.065927</td>\n",
" <td>-21996.073078</td>\n",
" <td>-21996.075852</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14982.9</th>\n",
" <td>-22303.939390</td>\n",
" <td>-22296.552744</td>\n",
" <td>-22289.166264</td>\n",
" <td>-22281.779665</td>\n",
" <td>-22274.393020</td>\n",
" <td>-22267.006421</td>\n",
" <td>-22259.619966</td>\n",
" <td>-22252.233152</td>\n",
" <td>-22244.846590</td>\n",
" <td>-22237.460016</td>\n",
" <td>...</td>\n",
" <td>-22027.721912</td>\n",
" <td>-22027.768279</td>\n",
" <td>-22027.807019</td>\n",
" <td>-22027.838821</td>\n",
" <td>-22027.864253</td>\n",
" <td>-22027.883884</td>\n",
" <td>-22027.898185</td>\n",
" <td>-22027.907613</td>\n",
" <td>-22027.912583</td>\n",
" <td>-22027.913460</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14983.0</th>\n",
" <td>-22163.203064</td>\n",
" <td>-22156.312870</td>\n",
" <td>-22149.422630</td>\n",
" <td>-22142.532532</td>\n",
" <td>-22135.642303</td>\n",
" <td>-22128.751848</td>\n",
" <td>-22121.861513</td>\n",
" <td>-22114.971486</td>\n",
" <td>-22108.081233</td>\n",
" <td>-22101.191055</td>\n",
" <td>...</td>\n",
" <td>-21895.319478</td>\n",
" <td>-21895.329732</td>\n",
" <td>-21895.335866</td>\n",
" <td>-21895.338210</td>\n",
" <td>-21895.337050</td>\n",
" <td>-21895.332669</td>\n",
" <td>-21895.325329</td>\n",
" <td>-21895.315241</td>\n",
" <td>-21895.302640</td>\n",
" <td>-21895.287699</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14983.1</th>\n",
" <td>-22376.363937</td>\n",
" <td>-22368.557255</td>\n",
" <td>-22360.750810</td>\n",
" <td>-22352.944176</td>\n",
" <td>-22345.137423</td>\n",
" <td>-22337.330788</td>\n",
" <td>-22329.524177</td>\n",
" <td>-22321.717605</td>\n",
" <td>-22313.911075</td>\n",
" <td>-22306.104397</td>\n",
" <td>...</td>\n",
" <td>-22087.942852</td>\n",
" <td>-22087.997742</td>\n",
" <td>-22088.043966</td>\n",
" <td>-22088.082282</td>\n",
" <td>-22088.113398</td>\n",
" <td>-22088.137953</td>\n",
" <td>-22088.156494</td>\n",
" <td>-22088.169565</td>\n",
" <td>-22088.177643</td>\n",
" <td>-22088.181100</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14983.2</th>\n",
" <td>-22283.406415</td>\n",
" <td>-22275.753281</td>\n",
" <td>-22268.100312</td>\n",
" <td>-22260.447294</td>\n",
" <td>-22252.794232</td>\n",
" <td>-22245.141297</td>\n",
" <td>-22237.488091</td>\n",
" <td>-22229.835126</td>\n",
" <td>-22222.181978</td>\n",
" <td>-22214.529067</td>\n",
" <td>...</td>\n",
" <td>-21991.842716</td>\n",
" <td>-21991.871678</td>\n",
" <td>-21991.894483</td>\n",
" <td>-21991.911651</td>\n",
" <td>-21991.923655</td>\n",
" <td>-21991.930926</td>\n",
" <td>-21991.933886</td>\n",
" <td>-21991.932843</td>\n",
" <td>-21991.928156</td>\n",
" <td>-21991.920129</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14983.3</th>\n",
" <td>-22183.025583</td>\n",
" <td>-22175.492176</td>\n",
" <td>-22167.958178</td>\n",
" <td>-22160.424535</td>\n",
" <td>-22152.890892</td>\n",
" <td>-22145.357153</td>\n",
" <td>-22137.823462</td>\n",
" <td>-22130.289753</td>\n",
" <td>-22122.756082</td>\n",
" <td>-22115.222431</td>\n",
" <td>...</td>\n",
" <td>-21903.656540</td>\n",
" <td>-21903.704183</td>\n",
" <td>-21903.743846</td>\n",
" <td>-21903.776172</td>\n",
" <td>-21903.801864</td>\n",
" <td>-21903.821495</td>\n",
" <td>-21903.835560</td>\n",
" <td>-21903.844561</td>\n",
" <td>-21903.848918</td>\n",
" <td>-21903.849011</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14983.4</th>\n",
" <td>-22233.633354</td>\n",
" <td>-22225.914408</td>\n",
" <td>-22218.195579</td>\n",
" <td>-22210.476870</td>\n",
" <td>-22202.758016</td>\n",
" <td>-22195.039260</td>\n",
" <td>-22187.320362</td>\n",
" <td>-22179.601414</td>\n",
" <td>-22171.882632</td>\n",
" <td>-22164.163773</td>\n",
" <td>...</td>\n",
" <td>-21944.016946</td>\n",
" <td>-21944.057105</td>\n",
" <td>-21944.089951</td>\n",
" <td>-21944.116116</td>\n",
" <td>-21944.136175</td>\n",
" <td>-21944.150689</td>\n",
" <td>-21944.160140</td>\n",
" <td>-21944.164923</td>\n",
" <td>-21944.165467</td>\n",
" <td>-21944.162103</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14983.5</th>\n",
" <td>-22002.817831</td>\n",
" <td>-21995.224509</td>\n",
" <td>-21987.631330</td>\n",
" <td>-21980.038149</td>\n",
" <td>-21972.444994</td>\n",
" <td>-21964.851648</td>\n",
" <td>-21957.258419</td>\n",
" <td>-21949.665241</td>\n",
" <td>-21942.072039</td>\n",
" <td>-21934.478857</td>\n",
" <td>...</td>\n",
" <td>-21713.431333</td>\n",
" <td>-21713.458445</td>\n",
" <td>-21713.479496</td>\n",
" <td>-21713.495054</td>\n",
" <td>-21713.505568</td>\n",
" <td>-21713.511465</td>\n",
" <td>-21713.513145</td>\n",
" <td>-21713.510922</td>\n",
" <td>-21713.505165</td>\n",
" <td>-21713.496121</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14983.6</th>\n",
" <td>-22021.806851</td>\n",
" <td>-22013.598536</td>\n",
" <td>-22005.390505</td>\n",
" <td>-21997.182285</td>\n",
" <td>-21988.974113</td>\n",
" <td>-21980.765940</td>\n",
" <td>-21972.557871</td>\n",
" <td>-21964.349705</td>\n",
" <td>-21956.141602</td>\n",
" <td>-21947.933308</td>\n",
" <td>...</td>\n",
" <td>-21724.403843</td>\n",
" <td>-21724.470265</td>\n",
" <td>-21724.526839</td>\n",
" <td>-21724.574460</td>\n",
" <td>-21724.613983</td>\n",
" <td>-21724.646091</td>\n",
" <td>-21724.671477</td>\n",
" <td>-21724.690728</td>\n",
" <td>-21724.704369</td>\n",
" <td>-21724.712916</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14983.7</th>\n",
" <td>-22214.988119</td>\n",
" <td>-22207.673495</td>\n",
" <td>-22200.359060</td>\n",
" <td>-22193.044364</td>\n",
" <td>-22185.730002</td>\n",
" <td>-22178.415281</td>\n",
" <td>-22171.100478</td>\n",
" <td>-22163.786165</td>\n",
" <td>-22156.471731</td>\n",
" <td>-22149.156925</td>\n",
" <td>...</td>\n",
" <td>-21937.854505</td>\n",
" <td>-21937.891374</td>\n",
" <td>-21937.921710</td>\n",
" <td>-21937.946028</td>\n",
" <td>-21937.964829</td>\n",
" <td>-21937.978610</td>\n",
" <td>-21937.987774</td>\n",
" <td>-21937.992678</td>\n",
" <td>-21937.993718</td>\n",
" <td>-21937.991161</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14983.8</th>\n",
" <td>-22112.991313</td>\n",
" <td>-22105.086022</td>\n",
" <td>-22097.180564</td>\n",
" <td>-22089.275391</td>\n",
" <td>-22081.369909</td>\n",
" <td>-22073.464498</td>\n",
" <td>-22065.559089</td>\n",
" <td>-22057.653680</td>\n",
" <td>-22049.748363</td>\n",
" <td>-22041.842861</td>\n",
" <td>...</td>\n",
" <td>-21826.600613</td>\n",
" <td>-21826.667507</td>\n",
" <td>-21826.724579</td>\n",
" <td>-21826.772765</td>\n",
" <td>-21826.812831</td>\n",
" <td>-21826.845561</td>\n",
" <td>-21826.871559</td>\n",
" <td>-21826.891427</td>\n",
" <td>-21826.905732</td>\n",
" <td>-21826.914919</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14983.9</th>\n",
" <td>-22068.462958</td>\n",
" <td>-22060.718824</td>\n",
" <td>-22052.974548</td>\n",
" <td>-22045.230674</td>\n",
" <td>-22037.486660</td>\n",
" <td>-22029.742621</td>\n",
" <td>-22021.998413</td>\n",
" <td>-22014.254448</td>\n",
" <td>-22006.510553</td>\n",
" <td>-21998.766266</td>\n",
" <td>...</td>\n",
" <td>-21773.338927</td>\n",
" <td>-21773.369783</td>\n",
" <td>-21773.394671</td>\n",
" <td>-21773.414062</td>\n",
" <td>-21773.428487</td>\n",
" <td>-21773.438287</td>\n",
" <td>-21773.443925</td>\n",
" <td>-21773.445702</td>\n",
" <td>-21773.443971</td>\n",
" <td>-21773.438997</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14984.0</th>\n",
" <td>-22034.462721</td>\n",
" <td>-22027.622406</td>\n",
" <td>-22020.782328</td>\n",
" <td>-22013.942109</td>\n",
" <td>-22007.101746</td>\n",
" <td>-22000.261502</td>\n",
" <td>-21993.421190</td>\n",
" <td>-21986.581018</td>\n",
" <td>-21979.740892</td>\n",
" <td>-21972.900646</td>\n",
" <td>...</td>\n",
" <td>-21772.001365</td>\n",
" <td>-21772.025734</td>\n",
" <td>-21772.044865</td>\n",
" <td>-21772.059216</td>\n",
" <td>-21772.069137</td>\n",
" <td>-21772.075034</td>\n",
" <td>-21772.077191</td>\n",
" <td>-21772.075911</td>\n",
" <td>-21772.071508</td>\n",
" <td>-21772.064167</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14984.1</th>\n",
" <td>-22075.953877</td>\n",
" <td>-22068.172906</td>\n",
" <td>-22060.392076</td>\n",
" <td>-22052.611245</td>\n",
" <td>-22044.830298</td>\n",
" <td>-22037.049442</td>\n",
" <td>-22029.268507</td>\n",
" <td>-22021.487696</td>\n",
" <td>-22013.706683</td>\n",
" <td>-22005.925803</td>\n",
" <td>...</td>\n",
" <td>-21789.408380</td>\n",
" <td>-21789.467368</td>\n",
" <td>-21789.517522</td>\n",
" <td>-21789.559601</td>\n",
" <td>-21789.594341</td>\n",
" <td>-21789.622399</td>\n",
" <td>-21789.644351</td>\n",
" <td>-21789.660715</td>\n",
" <td>-21789.671986</td>\n",
" <td>-21789.678593</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14984.2</th>\n",
" <td>-22054.821498</td>\n",
" <td>-22047.334587</td>\n",
" <td>-22039.847889</td>\n",
" <td>-22032.361166</td>\n",
" <td>-22024.874635</td>\n",
" <td>-22017.387887</td>\n",
" <td>-22009.901141</td>\n",
" <td>-22002.414183</td>\n",
" <td>-21994.927535</td>\n",
" <td>-21987.440848</td>\n",
" <td>...</td>\n",
" <td>-21774.573614</td>\n",
" <td>-21774.615244</td>\n",
" <td>-21774.649580</td>\n",
" <td>-21774.677262</td>\n",
" <td>-21774.698907</td>\n",
" <td>-21774.715008</td>\n",
" <td>-21774.726042</td>\n",
" <td>-21774.732436</td>\n",
" <td>-21774.734593</td>\n",
" <td>-21774.732863</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14984.3</th>\n",
" <td>-22054.538120</td>\n",
" <td>-22046.410769</td>\n",
" <td>-22038.283608</td>\n",
" <td>-22030.156424</td>\n",
" <td>-22022.029357</td>\n",
" <td>-22013.901888</td>\n",
" <td>-22005.774704</td>\n",
" <td>-21997.647427</td>\n",
" <td>-21989.520344</td>\n",
" <td>-21981.392924</td>\n",
" <td>...</td>\n",
" <td>-21748.543911</td>\n",
" <td>-21748.591628</td>\n",
" <td>-21748.631504</td>\n",
" <td>-21748.664253</td>\n",
" <td>-21748.690446</td>\n",
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" <tr>\n",
" <th>14984.4</th>\n",
" <td>-21972.836385</td>\n",
" <td>-21965.410913</td>\n",
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" <tr>\n",
" <th>14984.5</th>\n",
" <td>-21949.726834</td>\n",
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" <tr>\n",
" <th>14984.6</th>\n",
" <td>-22073.561648</td>\n",
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" </tr>\n",
" <tr>\n",
" <th>14984.7</th>\n",
" <td>-22178.991566</td>\n",
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" <td>-22112.447337</td>\n",
" <td>...</td>\n",
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" </tr>\n",
" <tr>\n",
" <th>14984.8</th>\n",
" <td>-22232.363893</td>\n",
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" <td>-22157.804651</td>\n",
" <td>...</td>\n",
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" </tr>\n",
" <tr>\n",
" <th>14984.9</th>\n",
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" <tr>\n",
" <th>14985.0</th>\n",
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"</table>\n",
"<p>149851 rows × 81 columns</p>\n",
"</div>"
],
"text/plain": [
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"14984.8 -22182.657650 -22174.373271 -22166.089085 \n",
"14984.9 -22107.443080 -22099.132120 -22090.821106 \n",
"14985.0 -22230.339234 -22221.936976 -22213.534601 \n",
"\n",
" u (0.2250, 0.0000) ... u (1.0000, 0.7750) \\\n",
"time (ps) ... \n",
"0.0 -21906.679404 ... -21680.815127 \n",
"0.1 -22139.101829 ... -21940.521284 \n",
"0.2 -22246.277555 ... -22051.699041 \n",
"0.3 -22177.557885 ... -21960.759921 \n",
"0.4 -22189.645950 ... -21984.734395 \n",
"0.5 -22182.304286 ... -21984.253831 \n",
"0.6 -22094.691399 ... -21876.346942 \n",
"0.7 -22147.875481 ... -21926.014858 \n",
"0.8 -22210.655096 ... -21995.220610 \n",
"0.9 -22096.071024 ... -21882.287598 \n",
"1.0 -21991.313014 ... -21763.310194 \n",
"1.1 -22166.754385 ... -21960.380951 \n",
"1.2 -22209.590108 ... -21989.242605 \n",
"1.3 -22105.731841 ... -21877.760715 \n",
"1.4 -21901.720264 ... -21680.856155 \n",
"1.5 -21953.811203 ... -21714.275206 \n",
"1.6 -22080.403484 ... -21840.924376 \n",
"1.7 -22027.533368 ... -21780.651903 \n",
"1.8 -21965.366310 ... -21725.030824 \n",
"1.9 -22118.279292 ... -21900.627244 \n",
"2.0 -22098.034321 ... -21875.979435 \n",
"2.1 -22258.223966 ... -22030.821305 \n",
"2.2 -21993.860652 ... -21759.446741 \n",
"2.3 -21994.046072 ... -21765.008300 \n",
"2.4 -22053.540543 ... -21837.344783 \n",
"2.5 -22040.352015 ... -21823.527037 \n",
"2.6 -22261.127318 ... -22029.459713 \n",
"2.7 -22109.142730 ... -21907.875563 \n",
"2.8 -22228.919680 ... -22020.997088 \n",
"2.9 -22173.868182 ... -21966.172058 \n",
"... ... ... ... \n",
"14982.1 -22343.377457 ... -22142.969338 \n",
"14982.2 -22303.251067 ... -22091.411219 \n",
"14982.3 -22177.530864 ... -21977.866409 \n",
"14982.4 -22272.028026 ... -22061.557398 \n",
"14982.5 -22392.070946 ... -22180.394474 \n",
"14982.6 -22256.324895 ... -22052.984683 \n",
"14982.7 -22074.830509 ... -21868.640564 \n",
"14982.8 -22212.814319 ... -21995.854749 \n",
"14982.9 -22237.460016 ... -22027.721912 \n",
"14983.0 -22101.191055 ... -21895.319478 \n",
"14983.1 -22306.104397 ... -22087.942852 \n",
"14983.2 -22214.529067 ... -21991.842716 \n",
"14983.3 -22115.222431 ... -21903.656540 \n",
"14983.4 -22164.163773 ... -21944.016946 \n",
"14983.5 -21934.478857 ... -21713.431333 \n",
"14983.6 -21947.933308 ... -21724.403843 \n",
"14983.7 -22149.156925 ... -21937.854505 \n",
"14983.8 -22041.842861 ... -21826.600613 \n",
"14983.9 -21998.766266 ... -21773.338927 \n",
"14984.0 -21972.900646 ... -21772.001365 \n",
"14984.1 -22005.925803 ... -21789.408380 \n",
"14984.2 -21987.440848 ... -21774.573614 \n",
"14984.3 -21981.392924 ... -21748.543911 \n",
"14984.4 -21906.006600 ... -21694.510925 \n",
"14984.5 -21881.535897 ... -21655.164521 \n",
"14984.6 -22004.391583 ... -21782.920149 \n",
"14984.7 -22112.447337 ... -21898.484124 \n",
"14984.8 -22157.804651 ... -21926.717663 \n",
"14984.9 -22082.510204 ... -21854.465494 \n",
"14985.0 -22205.132273 ... -21960.676364 \n",
"\n",
" u (1.0000, 0.8000) u (1.0000, 0.8250) u (1.0000, 0.8500) \\\n",
"time (ps) \n",
"0.0 -21680.871628 -21680.919652 -21680.959978 \n",
"0.1 -21940.555239 -21940.582949 -21940.604923 \n",
"0.2 -22051.718956 -22051.733827 -22051.744035 \n",
"0.3 -21960.784740 -21960.803918 -21960.817889 \n",
"0.4 -21984.762244 -21984.783913 -21984.799967 \n",
"0.5 -21984.307822 -21984.353265 -21984.390891 \n",
"0.6 -21876.387175 -21876.420328 -21876.446989 \n",
"0.7 -21926.056084 -21926.089733 -21926.116469 \n",
"0.8 -21995.254259 -21995.281041 -21995.301573 \n",
"0.9 -21882.321321 -21882.348056 -21882.368370 \n",
"1.0 -21763.349741 -21763.382016 -21763.407592 \n",
"1.1 -21960.403255 -21960.419880 -21960.431317 \n",
"1.2 -21989.288262 -21989.325888 -21989.356177 \n",
"1.3 -21877.807695 -21877.846554 -21877.877976 \n",
"1.4 -21680.875713 -21680.890041 -21680.899558 \n",
"1.5 -21714.301418 -21714.321949 -21714.337224 \n",
"1.6 -21840.985187 -21841.036667 -21841.079647 \n",
"1.7 -21780.698627 -21780.737533 -21780.769262 \n",
"1.8 -21725.071911 -21725.105750 -21725.132908 \n",
"1.9 -21900.682441 -21900.728738 -21900.766934 \n",
"2.0 -21876.020925 -21876.055048 -21876.082419 \n",
"2.1 -22030.850783 -22030.873992 -22030.891443 \n",
"2.2 -21759.497442 -21759.539614 -21759.574024 \n",
"2.3 -21765.058551 -21765.100487 -21765.134846 \n",
"2.4 -21837.398277 -21837.442960 -21837.479616 \n",
"2.5 -21823.573617 -21823.612074 -21823.643166 \n",
"2.6 -22029.492133 -22029.518274 -22029.538663 \n",
"2.7 -21907.900072 -21907.918520 -21907.931471 \n",
"2.8 -22021.028277 -22021.052619 -22021.070710 \n",
"2.9 -21966.196780 -21966.215558 -21966.228912 \n",
"... ... ... ... \n",
"14982.1 -22142.983332 -22142.992616 -22142.997586 \n",
"14982.2 -22091.457210 -22091.495430 -22091.526592 \n",
"14982.3 -21977.909008 -21977.944244 -21977.972780 \n",
"14982.4 -22061.571346 -22061.580839 -22061.586240 \n",
"14982.5 -22180.431060 -22180.460993 -22180.484814 \n",
"14982.6 -22053.017859 -22053.044594 -22053.065386 \n",
"14982.7 -21868.666139 -21868.685961 -21868.700525 \n",
"14982.8 -21995.906159 -21995.949399 -21995.985178 \n",
"14982.9 -22027.768279 -22027.807019 -22027.838821 \n",
"14983.0 -21895.329732 -21895.335866 -21895.338210 \n",
"14983.1 -22087.997742 -22088.043966 -22088.082282 \n",
"14983.2 -21991.871678 -21991.894483 -21991.911651 \n",
"14983.3 -21903.704183 -21903.743846 -21903.776172 \n",
"14983.4 -21944.057105 -21944.089951 -21944.116116 \n",
"14983.5 -21713.458445 -21713.479496 -21713.495054 \n",
"14983.6 -21724.470265 -21724.526839 -21724.574460 \n",
"14983.7 -21937.891374 -21937.921710 -21937.946028 \n",
"14983.8 -21826.667507 -21826.724579 -21826.772765 \n",
"14983.9 -21773.369783 -21773.394671 -21773.414062 \n",
"14984.0 -21772.025734 -21772.044865 -21772.059216 \n",
"14984.1 -21789.467368 -21789.517522 -21789.559601 \n",
"14984.2 -21774.615244 -21774.649580 -21774.677262 \n",
"14984.3 -21748.591628 -21748.631504 -21748.664253 \n",
"14984.4 -21694.550188 -21694.582251 -21694.607706 \n",
"14984.5 -21655.179392 -21655.189619 -21655.195563 \n",
"14984.6 -21782.959789 -21782.992324 -21783.018396 \n",
"14984.7 -21898.514599 -21898.538871 -21898.557435 \n",
"14984.8 -21926.772484 -21926.818541 -21926.856644 \n",
"14984.9 -21854.521382 -21854.568246 -21854.606938 \n",
"14985.0 -21960.712640 -21960.742146 -21960.765424 \n",
"\n",
" u (1.0000, 0.8750) u (1.0000, 0.9000) u (1.0000, 0.9250) \\\n",
"time (ps) \n",
"0.0 -21680.993223 -21681.020005 -21681.040871 \n",
"0.1 -21940.621665 -21940.633552 -21940.641009 \n",
"0.2 -22051.750002 -22051.752039 -22051.750475 \n",
"0.3 -21960.827080 -21960.831910 -21960.832690 \n",
"0.4 -21984.810908 -21984.817135 -21984.819079 \n",
"0.5 -21984.421390 -21984.445402 -21984.463470 \n",
"0.6 -21876.467711 -21876.482986 -21876.493240 \n",
"0.7 -21926.136857 -21926.151468 -21926.160799 \n",
"0.8 -21995.316351 -21995.325868 -21995.330605 \n",
"0.9 -21882.382842 -21882.391959 -21882.396219 \n",
"1.0 -21763.427056 -21763.440911 -21763.449625 \n",
"1.1 -21960.437948 -21960.440148 -21960.438278 \n",
"1.2 -21989.379785 -21989.397260 -21989.409124 \n",
"1.3 -21877.902628 -21877.921049 -21877.933790 \n",
"1.4 -21680.904675 -21680.905692 -21680.902968 \n",
"1.5 -21714.347691 -21714.353705 -21714.355622 \n",
"1.6 -21841.114883 -21841.143062 -21841.164754 \n",
"1.7 -21780.794434 -21780.813592 -21780.827233 \n",
"1.8 -21725.154010 -21725.169494 -21725.179892 \n",
"1.9 -21900.797716 -21900.821728 -21900.839559 \n",
"2.0 -21876.103614 -21876.119149 -21876.129473 \n",
"2.1 -22030.903614 -22030.910908 -22030.913728 \n",
"2.2 -21759.601349 -21759.622164 -21759.637058 \n",
"2.3 -21765.162268 -21765.183320 -21765.198595 \n",
"2.4 -21837.508982 -21837.531620 -21837.548125 \n",
"2.5 -21823.667461 -21823.685575 -21823.698033 \n",
"2.6 -22029.553747 -22029.563931 -22029.569611 \n",
"2.7 -21907.939381 -21907.942695 -21907.941795 \n",
"2.8 -22021.083094 -22021.090272 -22021.092662 \n",
"2.9 -21966.237319 -21966.241129 -21966.240753 \n",
"... ... ... ... \n",
"14982.1 -22142.998630 -22142.996023 -22142.990129 \n",
"14982.2 -22091.551313 -22091.570185 -22091.583682 \n",
"14982.3 -21977.995135 -21978.011900 -21978.023527 \n",
"14982.4 -22061.587873 -22061.586027 -22061.581006 \n",
"14982.5 -22180.503072 -22180.516213 -22180.524714 \n",
"14982.6 -22053.080827 -22053.091314 -22053.097285 \n",
"14982.7 -21868.710256 -21868.715559 -21868.716840 \n",
"14982.8 -21996.014187 -21996.036942 -21996.054040 \n",
"14982.9 -22027.864253 -22027.883884 -22027.898185 \n",
"14983.0 -21895.337050 -21895.332669 -21895.325329 \n",
"14983.1 -22088.113398 -22088.137953 -22088.156494 \n",
"14983.2 -21991.923655 -21991.930926 -21991.933886 \n",
"14983.3 -21903.801864 -21903.821495 -21903.835560 \n",
"14983.4 -21944.136175 -21944.150689 -21944.160140 \n",
"14983.5 -21713.505568 -21713.511465 -21713.513145 \n",
"14983.6 -21724.613983 -21724.646091 -21724.671477 \n",
"14983.7 -21937.964829 -21937.978610 -21937.987774 \n",
"14983.8 -21826.812831 -21826.845561 -21826.871559 \n",
"14983.9 -21773.428487 -21773.438287 -21773.443925 \n",
"14984.0 -21772.069137 -21772.075034 -21772.077191 \n",
"14984.1 -21789.594341 -21789.622399 -21789.644351 \n",
"14984.2 -21774.698907 -21774.715008 -21774.726042 \n",
"14984.3 -21748.690446 -21748.710644 -21748.725348 \n",
"14984.4 -21694.627147 -21694.641071 -21694.649952 \n",
"14984.5 -21655.197553 -21655.195897 -21655.190876 \n",
"14984.6 -21783.038548 -21783.053256 -21783.062986 \n",
"14984.7 -21898.570793 -21898.579364 -21898.583581 \n",
"14984.8 -21926.887476 -21926.911678 -21926.929839 \n",
"14984.9 -21854.638170 -21854.662609 -21854.680867 \n",
"14985.0 -21960.782996 -21960.795356 -21960.802934 \n",
"\n",
" u (1.0000, 0.9500) u (1.0000, 0.9750) u (1.0000, 1.0000) \n",
"time (ps) \n",
"0.0 -21681.056308 -21681.066776 -21681.072650 \n",
"0.1 -21940.644419 -21940.644066 -21940.640276 \n",
"0.2 -22051.745622 -22051.737688 -22051.726960 \n",
"0.3 -21960.829803 -21960.823479 -21960.814056 \n",
"0.4 -21984.817112 -21984.811521 -21984.802667 \n",
"0.5 -21984.476118 -21984.483788 -21984.486892 \n",
"0.6 -21876.498873 -21876.500270 -21876.497810 \n",
"0.7 -21926.165253 -21926.165276 -21926.161202 \n",
"0.8 -21995.330912 -21995.327171 -21995.319734 \n",
"0.9 -21882.395982 -21882.391672 -21882.383598 \n",
"1.0 -21763.453602 -21763.453272 -21763.448938 \n",
"1.1 -21960.432668 -21960.423597 -21960.411329 \n",
"1.2 -21989.415875 -21989.417908 -21989.415661 \n",
"1.3 -21877.941298 -21877.944045 -21877.942411 \n",
"1.4 -21680.896811 -21680.887434 -21680.875123 \n",
"1.5 -21714.353775 -21714.348471 -21714.339971 \n",
"1.6 -21841.180571 -21841.190992 -21841.196463 \n",
"1.7 -21780.835780 -21780.839687 -21780.839311 \n",
"1.8 -21725.185548 -21725.186922 -21725.184319 \n",
"1.9 -21900.851753 -21900.858764 -21900.861038 \n",
"2.0 -21876.135036 -21876.136224 -21876.133380 \n",
"2.1 -22030.912448 -22030.907358 -22030.898783 \n",
"2.2 -21759.646509 -21759.650983 -21759.650890 \n",
"2.3 -21765.208492 -21765.213512 -21765.214032 \n",
"2.4 -21837.559042 -21837.564819 -21837.565886 \n",
"2.5 -21823.705304 -21823.707814 -21823.705967 \n",
"2.6 -22029.571175 -22029.568901 -22029.563101 \n",
"2.7 -21907.937061 -21907.928770 -21907.917263 \n",
"2.8 -22021.090671 -22021.084658 -22021.074974 \n",
"2.9 -21966.236559 -21966.228819 -21966.217831 \n",
"... ... ... ... \n",
"14982.1 -22142.981179 -22142.969454 -22142.955177 \n",
"14982.2 -22091.592280 -22091.596400 -22091.596447 \n",
"14982.3 -21978.030441 -21978.033021 -21978.031698 \n",
"14982.4 -22061.573025 -22061.562344 -22061.549157 \n",
"14982.5 -22180.528908 -22180.529191 -22180.525874 \n",
"14982.6 -22053.099132 -22053.097165 -22053.091741 \n",
"14982.7 -21868.714376 -21868.708529 -21868.699552 \n",
"14982.8 -21996.065927 -21996.073078 -21996.075852 \n",
"14982.9 -22027.907613 -22027.912583 -22027.913460 \n",
"14983.0 -21895.315241 -21895.302640 -21895.287699 \n",
"14983.1 -22088.169565 -22088.177643 -22088.181100 \n",
"14983.2 -21991.932843 -21991.928156 -21991.920129 \n",
"14983.3 -21903.844561 -21903.848918 -21903.849011 \n",
"14983.4 -21944.164923 -21944.165467 -21944.162103 \n",
"14983.5 -21713.510922 -21713.505165 -21713.496121 \n",
"14983.6 -21724.690728 -21724.704369 -21724.712916 \n",
"14983.7 -21937.992678 -21937.993718 -21937.991161 \n",
"14983.8 -21826.891427 -21826.905732 -21826.914919 \n",
"14983.9 -21773.445702 -21773.443971 -21773.438997 \n",
"14984.0 -21772.075911 -21772.071508 -21772.064167 \n",
"14984.1 -21789.660715 -21789.671986 -21789.678593 \n",
"14984.2 -21774.732436 -21774.734593 -21774.732863 \n",
"14984.3 -21748.735012 -21748.740033 -21748.740836 \n",
"14984.4 -21694.654189 -21694.654166 -21694.650259 \n",
"14984.5 -21655.182729 -21655.171718 -21655.158081 \n",
"14984.6 -21783.068150 -21783.069120 -21783.066253 \n",
"14984.7 -21898.583767 -21898.580287 -21898.573420 \n",
"14984.8 -21926.942483 -21926.950111 -21926.953118 \n",
"14984.9 -21854.693511 -21854.700995 -21854.703765 \n",
"14985.0 -21960.806130 -21960.805277 -21960.800707 \n",
"\n",
"[149851 rows x 81 columns]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gmx.extract_u_nk('na/g2i_state_0_x1/WORK/dhdl/dhdl.part0001.xvg', T=310)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The result of this function is a single `pandas.DataFrame` giving the reduced potentials in a common form. All parsing submodules with a `get_u_nk` function return a DataFrame of this form, and they all take similar inputs. We aim for a consistent API, so that code written to handle data from one MD engine can (usually) be applied to data from another."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's gather up the data from the first window, using all XVG files:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import glob\n",
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"['na/g2i_state_0_x1/WORK/dhdl/dhdl.part0001.xvg',\n",
" 'na/g2i_state_0_x1/WORK/dhdl/dhdl.part0002.xvg',\n",
" 'na/g2i_state_0_x1/WORK/dhdl/dhdl.part0003.xvg',\n",
" 'na/g2i_state_0_x1/WORK/dhdl/dhdl.part0004.xvg']"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"xvgs = glob.glob('na/g2i_state_0_x1/WORK/dhdl/*.xvg')\n",
"xvgs"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>u (0.0000, 0.0000)</th>\n",
" <th>u (0.0250, 0.0000)</th>\n",
" <th>u (0.0500, 0.0000)</th>\n",
" <th>u (0.0750, 0.0000)</th>\n",
" <th>u (0.1000, 0.0000)</th>\n",
" <th>u (0.1250, 0.0000)</th>\n",
" <th>u (0.1500, 0.0000)</th>\n",
" <th>u (0.1750, 0.0000)</th>\n",
" <th>u (0.2000, 0.0000)</th>\n",
" <th>u (0.2250, 0.0000)</th>\n",
" <th>...</th>\n",
" <th>u (1.0000, 0.7750)</th>\n",
" <th>u (1.0000, 0.8000)</th>\n",
" <th>u (1.0000, 0.8250)</th>\n",
" <th>u (1.0000, 0.8500)</th>\n",
" <th>u (1.0000, 0.8750)</th>\n",
" <th>u (1.0000, 0.9000)</th>\n",
" <th>u (1.0000, 0.9250)</th>\n",
" <th>u (1.0000, 0.9500)</th>\n",
" <th>u (1.0000, 0.9750)</th>\n",
" <th>u (1.0000, 1.0000)</th>\n",
" </tr>\n",
" <tr>\n",
" <th>time (ps)</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0.0</th>\n",
" <td>-21978.380745</td>\n",
" <td>-21970.414134</td>\n",
" <td>-21962.447239</td>\n",
" <td>-21954.480699</td>\n",
" <td>-21946.513639</td>\n",
" <td>-21938.546556</td>\n",
" <td>-21930.579873</td>\n",
" <td>-21922.612935</td>\n",
" <td>-21914.646389</td>\n",
" <td>-21906.679404</td>\n",
" <td>...</td>\n",
" <td>-21680.815127</td>\n",
" <td>-21680.871628</td>\n",
" <td>-21680.919652</td>\n",
" <td>-21680.959978</td>\n",
" <td>-21680.993223</td>\n",
" <td>-21681.020005</td>\n",
" <td>-21681.040871</td>\n",
" <td>-21681.056308</td>\n",
" <td>-21681.066776</td>\n",
" <td>-21681.072650</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.1</th>\n",
" <td>-22200.884863</td>\n",
" <td>-22194.019909</td>\n",
" <td>-22187.155405</td>\n",
" <td>-22180.290450</td>\n",
" <td>-22173.425876</td>\n",
" <td>-22166.560803</td>\n",
" <td>-22159.695981</td>\n",
" <td>-22152.831358</td>\n",
" <td>-22145.966487</td>\n",
" <td>-22139.101829</td>\n",
" <td>...</td>\n",
" <td>-21940.521284</td>\n",
" <td>-21940.555239</td>\n",
" <td>-21940.582949</td>\n",
" <td>-21940.604923</td>\n",
" <td>-21940.621665</td>\n",
" <td>-21940.633552</td>\n",
" <td>-21940.641009</td>\n",
" <td>-21940.644419</td>\n",
" <td>-21940.644066</td>\n",
" <td>-21940.640276</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.2</th>\n",
" <td>-22305.841469</td>\n",
" <td>-22299.223444</td>\n",
" <td>-22292.605325</td>\n",
" <td>-22285.986897</td>\n",
" <td>-22279.368672</td>\n",
" <td>-22272.750553</td>\n",
" <td>-22266.132419</td>\n",
" <td>-22259.514277</td>\n",
" <td>-22252.895957</td>\n",
" <td>-22246.277555</td>\n",
" <td>...</td>\n",
" <td>-22051.699041</td>\n",
" <td>-22051.718956</td>\n",
" <td>-22051.733827</td>\n",
" <td>-22051.744035</td>\n",
" <td>-22051.750002</td>\n",
" <td>-22051.752039</td>\n",
" <td>-22051.750475</td>\n",
" <td>-22051.745622</td>\n",
" <td>-22051.737688</td>\n",
" <td>-22051.726960</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.3</th>\n",
" <td>-22244.026029</td>\n",
" <td>-22236.640472</td>\n",
" <td>-22229.255388</td>\n",
" <td>-22221.869901</td>\n",
" <td>-22214.484368</td>\n",
" <td>-22207.099499</td>\n",
" <td>-22199.713819</td>\n",
" <td>-22192.328642</td>\n",
" <td>-22184.943205</td>\n",
" <td>-22177.557885</td>\n",
" <td>...</td>\n",
" <td>-21960.759921</td>\n",
" <td>-21960.784740</td>\n",
" <td>-21960.803918</td>\n",
" <td>-21960.817889</td>\n",
" <td>-21960.827080</td>\n",
" <td>-21960.831910</td>\n",
" <td>-21960.832690</td>\n",
" <td>-21960.829803</td>\n",
" <td>-21960.823479</td>\n",
" <td>-21960.814056</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.4</th>\n",
" <td>-22253.855648</td>\n",
" <td>-22246.721389</td>\n",
" <td>-22239.586799</td>\n",
" <td>-22232.452446</td>\n",
" <td>-22225.317975</td>\n",
" <td>-22218.183529</td>\n",
" <td>-22211.049340</td>\n",
" <td>-22203.914888</td>\n",
" <td>-22196.780208</td>\n",
" <td>-22189.645950</td>\n",
" <td>...</td>\n",
" <td>-21984.734395</td>\n",
" <td>-21984.762244</td>\n",
" <td>-21984.783913</td>\n",
" <td>-21984.799967</td>\n",
" <td>-21984.810908</td>\n",
" <td>-21984.817135</td>\n",
" <td>-21984.819079</td>\n",
" <td>-21984.817112</td>\n",
" <td>-21984.811521</td>\n",
" <td>-21984.802667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.5</th>\n",
" <td>-22246.462519</td>\n",
" <td>-22239.333829</td>\n",
" <td>-22232.205115</td>\n",
" <td>-22225.076496</td>\n",
" <td>-22217.947629</td>\n",
" <td>-22210.819162</td>\n",
" <td>-22203.690675</td>\n",
" <td>-22196.561791</td>\n",
" <td>-22189.433035</td>\n",
" <td>-22182.304286</td>\n",
" <td>...</td>\n",
" <td>-21984.253831</td>\n",
" <td>-21984.307822</td>\n",
" <td>-21984.353265</td>\n",
" <td>-21984.390891</td>\n",
" <td>-21984.421390</td>\n",
" <td>-21984.445402</td>\n",
" <td>-21984.463470</td>\n",
" <td>-21984.476118</td>\n",
" <td>-21984.483788</td>\n",
" <td>-21984.486892</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.6</th>\n",
" <td>-22162.796158</td>\n",
" <td>-22155.228823</td>\n",
" <td>-22147.661725</td>\n",
" <td>-22140.094697</td>\n",
" <td>-22132.527410</td>\n",
" <td>-22124.960171</td>\n",
" <td>-22117.392858</td>\n",
" <td>-22109.825763</td>\n",
" <td>-22102.258618</td>\n",
" <td>-22094.691399</td>\n",
" <td>...</td>\n",
" <td>-21876.346942</td>\n",
" <td>-21876.387175</td>\n",
" <td>-21876.420328</td>\n",
" <td>-21876.446989</td>\n",
" <td>-21876.467711</td>\n",
" <td>-21876.482986</td>\n",
" <td>-21876.493240</td>\n",
" <td>-21876.498873</td>\n",
" <td>-21876.500270</td>\n",
" <td>-21876.497810</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.7</th>\n",
" <td>-22218.066510</td>\n",
" <td>-22210.267316</td>\n",
" <td>-22202.468478</td>\n",
" <td>-22194.669568</td>\n",
" <td>-22186.870446</td>\n",
" <td>-22179.071629</td>\n",
" <td>-22171.272638</td>\n",
" <td>-22163.473445</td>\n",
" <td>-22155.674546</td>\n",
" <td>-22147.875481</td>\n",
" <td>...</td>\n",
" <td>-21926.014858</td>\n",
" <td>-21926.056084</td>\n",
" <td>-21926.089733</td>\n",
" <td>-21926.116469</td>\n",
" <td>-21926.136857</td>\n",
" <td>-21926.151468</td>\n",
" <td>-21926.160799</td>\n",
" <td>-21926.165253</td>\n",
" <td>-21926.165276</td>\n",
" <td>-21926.161202</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.8</th>\n",
" <td>-22278.099050</td>\n",
" <td>-22270.605185</td>\n",
" <td>-22263.111462</td>\n",
" <td>-22255.617763</td>\n",
" <td>-22248.123780</td>\n",
" <td>-22240.630529</td>\n",
" <td>-22233.136476</td>\n",
" <td>-22225.642705</td>\n",
" <td>-22218.148887</td>\n",
" <td>-22210.655096</td>\n",
" <td>...</td>\n",
" <td>-21995.220610</td>\n",
" <td>-21995.254259</td>\n",
" <td>-21995.281041</td>\n",
" <td>-21995.301573</td>\n",
" <td>-21995.316351</td>\n",
" <td>-21995.325868</td>\n",
" <td>-21995.330605</td>\n",
" <td>-21995.330912</td>\n",
" <td>-21995.327171</td>\n",
" <td>-21995.319734</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.9</th>\n",
" <td>-22163.401822</td>\n",
" <td>-22155.920695</td>\n",
" <td>-22148.439614</td>\n",
" <td>-22140.958415</td>\n",
" <td>-22133.476969</td>\n",
" <td>-22125.995698</td>\n",
" <td>-22118.514642</td>\n",
" <td>-22111.033418</td>\n",
" <td>-22103.552353</td>\n",
" <td>-22096.071024</td>\n",
" <td>...</td>\n",
" <td>-21882.287598</td>\n",
" <td>-21882.321321</td>\n",
" <td>-21882.348056</td>\n",
" <td>-21882.368370</td>\n",
" <td>-21882.382842</td>\n",
" <td>-21882.391959</td>\n",
" <td>-21882.396219</td>\n",
" <td>-21882.395982</td>\n",
" <td>-21882.391672</td>\n",
" <td>-21882.383598</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.0</th>\n",
" <td>-22062.438584</td>\n",
" <td>-22054.535789</td>\n",
" <td>-22046.632852</td>\n",
" <td>-22038.730200</td>\n",
" <td>-22030.827143</td>\n",
" <td>-22022.924564</td>\n",
" <td>-22015.021459</td>\n",
" <td>-22007.118781</td>\n",
" <td>-21999.215878</td>\n",
" <td>-21991.313014</td>\n",
" <td>...</td>\n",
" <td>-21763.310194</td>\n",
" <td>-21763.349741</td>\n",
" <td>-21763.382016</td>\n",
" <td>-21763.407592</td>\n",
" <td>-21763.427056</td>\n",
" <td>-21763.440911</td>\n",
" <td>-21763.449625</td>\n",
" <td>-21763.453602</td>\n",
" <td>-21763.453272</td>\n",
" <td>-21763.448938</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.1</th>\n",
" <td>-22229.887855</td>\n",
" <td>-22222.873149</td>\n",
" <td>-22215.857994</td>\n",
" <td>-22208.843265</td>\n",
" <td>-22201.828559</td>\n",
" <td>-22194.813760</td>\n",
" <td>-22187.798890</td>\n",
" <td>-22180.783911</td>\n",
" <td>-22173.769072</td>\n",
" <td>-22166.754385</td>\n",
" <td>...</td>\n",
" <td>-21960.380951</td>\n",
" <td>-21960.403255</td>\n",
" <td>-21960.419880</td>\n",
" <td>-21960.431317</td>\n",
" <td>-21960.437948</td>\n",
" <td>-21960.440148</td>\n",
" <td>-21960.438278</td>\n",
" <td>-21960.432668</td>\n",
" <td>-21960.423597</td>\n",
" <td>-21960.411329</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.2</th>\n",
" <td>-22279.607544</td>\n",
" <td>-22271.828011</td>\n",
" <td>-22264.048264</td>\n",
" <td>-22256.268422</td>\n",
" <td>-22248.488843</td>\n",
" <td>-22240.709259</td>\n",
" <td>-22232.929275</td>\n",
" <td>-22225.149577</td>\n",
" <td>-22217.369856</td>\n",
" <td>-22209.590108</td>\n",
" <td>...</td>\n",
" <td>-21989.242605</td>\n",
" <td>-21989.288262</td>\n",
" <td>-21989.325888</td>\n",
" <td>-21989.356177</td>\n",
" <td>-21989.379785</td>\n",
" <td>-21989.397260</td>\n",
" <td>-21989.409124</td>\n",
" <td>-21989.415875</td>\n",
" <td>-21989.417908</td>\n",
" <td>-21989.415661</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.3</th>\n",
" <td>-22177.736733</td>\n",
" <td>-22169.736196</td>\n",
" <td>-22161.735588</td>\n",
" <td>-22153.734885</td>\n",
" <td>-22145.734348</td>\n",
" <td>-22137.733671</td>\n",
" <td>-22129.733273</td>\n",
" <td>-22121.732938</td>\n",
" <td>-22113.732095</td>\n",
" <td>-22105.731841</td>\n",
" <td>...</td>\n",
" <td>-21877.760715</td>\n",
" <td>-21877.807695</td>\n",
" <td>-21877.846554</td>\n",
" <td>-21877.877976</td>\n",
" <td>-21877.902628</td>\n",
" <td>-21877.921049</td>\n",
" <td>-21877.933790</td>\n",
" <td>-21877.941298</td>\n",
" <td>-21877.944045</td>\n",
" <td>-21877.942411</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.4</th>\n",
" <td>-21968.790540</td>\n",
" <td>-21961.338305</td>\n",
" <td>-21953.886284</td>\n",
" <td>-21946.433648</td>\n",
" <td>-21938.981554</td>\n",
" <td>-21931.529131</td>\n",
" <td>-21924.076991</td>\n",
" <td>-21916.624496</td>\n",
" <td>-21909.172366</td>\n",
" <td>-21901.720264</td>\n",
" <td>...</td>\n",
" <td>-21680.856155</td>\n",
" <td>-21680.875713</td>\n",
" <td>-21680.890041</td>\n",
" <td>-21680.899558</td>\n",
" <td>-21680.904675</td>\n",
" <td>-21680.905692</td>\n",
" <td>-21680.902968</td>\n",
" <td>-21680.896811</td>\n",
" <td>-21680.887434</td>\n",
" <td>-21680.875123</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.5</th>\n",
" <td>-22026.747281</td>\n",
" <td>-22018.643337</td>\n",
" <td>-22010.539369</td>\n",
" <td>-22002.435142</td>\n",
" <td>-21994.331458</td>\n",
" <td>-21986.227398</td>\n",
" <td>-21978.123334</td>\n",
" <td>-21970.019553</td>\n",
" <td>-21961.915352</td>\n",
" <td>-21953.811203</td>\n",
" <td>...</td>\n",
" <td>-21714.275206</td>\n",
" <td>-21714.301418</td>\n",
" <td>-21714.321949</td>\n",
" <td>-21714.337224</td>\n",
" <td>-21714.347691</td>\n",
" <td>-21714.353705</td>\n",
" <td>-21714.355622</td>\n",
" <td>-21714.353775</td>\n",
" <td>-21714.348471</td>\n",
" <td>-21714.339971</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.6</th>\n",
" <td>-22157.443600</td>\n",
" <td>-22148.883209</td>\n",
" <td>-22140.323387</td>\n",
" <td>-22131.763184</td>\n",
" <td>-22123.203481</td>\n",
" <td>-22114.643163</td>\n",
" <td>-22106.083313</td>\n",
" <td>-22097.523351</td>\n",
" <td>-22088.963314</td>\n",
" <td>-22080.403484</td>\n",
" <td>...</td>\n",
" <td>-21840.924376</td>\n",
" <td>-21840.985187</td>\n",
" <td>-21841.036667</td>\n",
" <td>-21841.079647</td>\n",
" <td>-21841.114883</td>\n",
" <td>-21841.143062</td>\n",
" <td>-21841.164754</td>\n",
" <td>-21841.180571</td>\n",
" <td>-21841.190992</td>\n",
" <td>-21841.196463</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.7</th>\n",
" <td>-22104.499609</td>\n",
" <td>-22095.947935</td>\n",
" <td>-22087.396118</td>\n",
" <td>-22078.844446</td>\n",
" <td>-22070.292485</td>\n",
" <td>-22061.740740</td>\n",
" <td>-22053.188762</td>\n",
" <td>-22044.636971</td>\n",
" <td>-22036.085124</td>\n",
" <td>-22027.533368</td>\n",
" <td>...</td>\n",
" <td>-21780.651903</td>\n",
" <td>-21780.698627</td>\n",
" <td>-21780.737533</td>\n",
" <td>-21780.769262</td>\n",
" <td>-21780.794434</td>\n",
" <td>-21780.813592</td>\n",
" <td>-21780.827233</td>\n",
" <td>-21780.835780</td>\n",
" <td>-21780.839687</td>\n",
" <td>-21780.839311</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.8</th>\n",
" <td>-22040.202814</td>\n",
" <td>-22031.887572</td>\n",
" <td>-22023.572639</td>\n",
" <td>-22015.257184</td>\n",
" <td>-22006.942108</td>\n",
" <td>-21998.627147</td>\n",
" <td>-21990.311884</td>\n",
" <td>-21981.996618</td>\n",
" <td>-21973.681402</td>\n",
" <td>-21965.366310</td>\n",
" <td>...</td>\n",
" <td>-21725.030824</td>\n",
" <td>-21725.071911</td>\n",
" <td>-21725.105750</td>\n",
" <td>-21725.132908</td>\n",
" <td>-21725.154010</td>\n",
" <td>-21725.169494</td>\n",
" <td>-21725.179892</td>\n",
" <td>-21725.185548</td>\n",
" <td>-21725.186922</td>\n",
" <td>-21725.184319</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1.9</th>\n",
" <td>-22188.328451</td>\n",
" <td>-22180.545141</td>\n",
" <td>-22172.762091</td>\n",
" <td>-22164.978805</td>\n",
" <td>-22157.195494</td>\n",
" <td>-22149.412445</td>\n",
" <td>-22141.629124</td>\n",
" <td>-22133.845683</td>\n",
" <td>-22126.062536</td>\n",
" <td>-22118.279292</td>\n",
" <td>...</td>\n",
" <td>-21900.627244</td>\n",
" <td>-21900.682441</td>\n",
" <td>-21900.728738</td>\n",
" <td>-21900.766934</td>\n",
" <td>-21900.797716</td>\n",
" <td>-21900.821728</td>\n",
" <td>-21900.839559</td>\n",
" <td>-21900.851753</td>\n",
" <td>-21900.858764</td>\n",
" <td>-21900.861038</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.0</th>\n",
" <td>-22167.469868</td>\n",
" <td>-22159.754491</td>\n",
" <td>-22152.039540</td>\n",
" <td>-22144.324472</td>\n",
" <td>-22136.609591</td>\n",
" <td>-22128.894452</td>\n",
" <td>-22121.179476</td>\n",
" <td>-22113.464482</td>\n",
" <td>-22105.749339</td>\n",
" <td>-22098.034321</td>\n",
" <td>...</td>\n",
" <td>-21875.979435</td>\n",
" <td>-21876.020925</td>\n",
" <td>-21876.055048</td>\n",
" <td>-21876.082419</td>\n",
" <td>-21876.103614</td>\n",
" <td>-21876.119149</td>\n",
" <td>-21876.129473</td>\n",
" <td>-21876.135036</td>\n",
" <td>-21876.136224</td>\n",
" <td>-21876.133380</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.1</th>\n",
" <td>-22328.026510</td>\n",
" <td>-22320.270641</td>\n",
" <td>-22312.514867</td>\n",
" <td>-22304.759236</td>\n",
" <td>-22297.003319</td>\n",
" <td>-22289.247382</td>\n",
" <td>-22281.491632</td>\n",
" <td>-22273.735717</td>\n",
" <td>-22265.979822</td>\n",
" <td>-22258.223966</td>\n",
" <td>...</td>\n",
" <td>-22030.821305</td>\n",
" <td>-22030.850783</td>\n",
" <td>-22030.873992</td>\n",
" <td>-22030.891443</td>\n",
" <td>-22030.903614</td>\n",
" <td>-22030.910908</td>\n",
" <td>-22030.913728</td>\n",
" <td>-22030.912448</td>\n",
" <td>-22030.907358</td>\n",
" <td>-22030.898783</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.2</th>\n",
" <td>-22068.252943</td>\n",
" <td>-22059.987322</td>\n",
" <td>-22051.721274</td>\n",
" <td>-22043.455653</td>\n",
" <td>-22035.189795</td>\n",
" <td>-22026.923963</td>\n",
" <td>-22018.658175</td>\n",
" <td>-22010.392317</td>\n",
" <td>-22002.126432</td>\n",
" <td>-21993.860652</td>\n",
" <td>...</td>\n",
" <td>-21759.446741</td>\n",
" <td>-21759.497442</td>\n",
" <td>-21759.539614</td>\n",
" <td>-21759.574024</td>\n",
" <td>-21759.601349</td>\n",
" <td>-21759.622164</td>\n",
" <td>-21759.637058</td>\n",
" <td>-21759.646509</td>\n",
" <td>-21759.650983</td>\n",
" <td>-21759.650890</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.3</th>\n",
" <td>-22066.395206</td>\n",
" <td>-22058.356508</td>\n",
" <td>-22050.317478</td>\n",
" <td>-22042.278851</td>\n",
" <td>-22034.240034</td>\n",
" <td>-22026.201241</td>\n",
" <td>-22018.162473</td>\n",
" <td>-22010.123468</td>\n",
" <td>-22002.084887</td>\n",
" <td>-21994.046072</td>\n",
" <td>...</td>\n",
" <td>-21765.008300</td>\n",
" <td>-21765.058551</td>\n",
" <td>-21765.100487</td>\n",
" <td>-21765.134846</td>\n",
" <td>-21765.162268</td>\n",
" <td>-21765.183320</td>\n",
" <td>-21765.198595</td>\n",
" <td>-21765.208492</td>\n",
" <td>-21765.213512</td>\n",
" <td>-21765.214032</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.4</th>\n",
" <td>-22123.003768</td>\n",
" <td>-22115.285682</td>\n",
" <td>-22107.567430</td>\n",
" <td>-22099.849393</td>\n",
" <td>-22092.131068</td>\n",
" <td>-22084.413256</td>\n",
" <td>-22076.695040</td>\n",
" <td>-22068.976814</td>\n",
" <td>-22061.258700</td>\n",
" <td>-22053.540543</td>\n",
" <td>...</td>\n",
" <td>-21837.344783</td>\n",
" <td>-21837.398277</td>\n",
" <td>-21837.442960</td>\n",
" <td>-21837.479616</td>\n",
" <td>-21837.508982</td>\n",
" <td>-21837.531620</td>\n",
" <td>-21837.548125</td>\n",
" <td>-21837.559042</td>\n",
" <td>-21837.564819</td>\n",
" <td>-21837.565886</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.5</th>\n",
" <td>-22109.284130</td>\n",
" <td>-22101.624908</td>\n",
" <td>-22093.965709</td>\n",
" <td>-22086.306627</td>\n",
" <td>-22078.647619</td>\n",
" <td>-22070.988299</td>\n",
" <td>-22063.329550</td>\n",
" <td>-22055.670094</td>\n",
" <td>-22048.010963</td>\n",
" <td>-22040.352015</td>\n",
" <td>...</td>\n",
" <td>-21823.527037</td>\n",
" <td>-21823.573617</td>\n",
" <td>-21823.612074</td>\n",
" <td>-21823.643166</td>\n",
" <td>-21823.667461</td>\n",
" <td>-21823.685575</td>\n",
" <td>-21823.698033</td>\n",
" <td>-21823.705304</td>\n",
" <td>-21823.707814</td>\n",
" <td>-21823.705967</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.6</th>\n",
" <td>-22332.059658</td>\n",
" <td>-22324.178223</td>\n",
" <td>-22316.296953</td>\n",
" <td>-22308.415729</td>\n",
" <td>-22300.534342</td>\n",
" <td>-22292.652954</td>\n",
" <td>-22284.771421</td>\n",
" <td>-22276.890035</td>\n",
" <td>-22269.008801</td>\n",
" <td>-22261.127318</td>\n",
" <td>...</td>\n",
" <td>-22029.459713</td>\n",
" <td>-22029.492133</td>\n",
" <td>-22029.518274</td>\n",
" <td>-22029.538663</td>\n",
" <td>-22029.553747</td>\n",
" <td>-22029.563931</td>\n",
" <td>-22029.569611</td>\n",
" <td>-22029.571175</td>\n",
" <td>-22029.568901</td>\n",
" <td>-22029.563101</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.7</th>\n",
" <td>-22172.190930</td>\n",
" <td>-22165.185535</td>\n",
" <td>-22158.180093</td>\n",
" <td>-22151.174746</td>\n",
" <td>-22144.169303</td>\n",
" <td>-22137.164073</td>\n",
" <td>-22130.158715</td>\n",
" <td>-22123.153346</td>\n",
" <td>-22116.148021</td>\n",
" <td>-22109.142730</td>\n",
" <td>...</td>\n",
" <td>-21907.875563</td>\n",
" <td>-21907.900072</td>\n",
" <td>-21907.918520</td>\n",
" <td>-21907.931471</td>\n",
" <td>-21907.939381</td>\n",
" <td>-21907.942695</td>\n",
" <td>-21907.941795</td>\n",
" <td>-21907.937061</td>\n",
" <td>-21907.928770</td>\n",
" <td>-21907.917263</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.8</th>\n",
" <td>-22294.201341</td>\n",
" <td>-22286.947752</td>\n",
" <td>-22279.694187</td>\n",
" <td>-22272.440644</td>\n",
" <td>-22265.187259</td>\n",
" <td>-22257.933787</td>\n",
" <td>-22250.680280</td>\n",
" <td>-22243.426669</td>\n",
" <td>-22236.173295</td>\n",
" <td>-22228.919680</td>\n",
" <td>...</td>\n",
" <td>-22020.997088</td>\n",
" <td>-22021.028277</td>\n",
" <td>-22021.052619</td>\n",
" <td>-22021.070710</td>\n",
" <td>-22021.083094</td>\n",
" <td>-22021.090272</td>\n",
" <td>-22021.092662</td>\n",
" <td>-22021.090671</td>\n",
" <td>-22021.084658</td>\n",
" <td>-22021.074974</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.9</th>\n",
" <td>-22238.092702</td>\n",
" <td>-22230.956671</td>\n",
" <td>-22223.820474</td>\n",
" <td>-22216.684630</td>\n",
" <td>-22209.548363</td>\n",
" <td>-22202.412401</td>\n",
" <td>-22195.276391</td>\n",
" <td>-22188.140337</td>\n",
" <td>-22181.004224</td>\n",
" <td>-22173.868182</td>\n",
" <td>...</td>\n",
" <td>-21966.172058</td>\n",
" <td>-21966.196780</td>\n",
" <td>-21966.215558</td>\n",
" <td>-21966.228912</td>\n",
" <td>-21966.237319</td>\n",
" <td>-21966.241129</td>\n",
" <td>-21966.240753</td>\n",
" <td>-21966.236559</td>\n",
" <td>-21966.228819</td>\n",
" <td>-21966.217831</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49997.1</th>\n",
" <td>-22251.092549</td>\n",
" <td>-22244.023808</td>\n",
" <td>-22236.955043</td>\n",
" <td>-22229.886326</td>\n",
" <td>-22222.817702</td>\n",
" <td>-22215.748879</td>\n",
" <td>-22208.680162</td>\n",
" <td>-22201.611550</td>\n",
" <td>-22194.543031</td>\n",
" <td>-22187.474185</td>\n",
" <td>...</td>\n",
" <td>-21980.046956</td>\n",
" <td>-21980.067938</td>\n",
" <td>-21980.083542</td>\n",
" <td>-21980.094219</td>\n",
" <td>-21980.100330</td>\n",
" <td>-21980.102297</td>\n",
" <td>-21980.100427</td>\n",
" <td>-21980.095026</td>\n",
" <td>-21980.086382</td>\n",
" <td>-21980.074778</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49997.2</th>\n",
" <td>-22277.924462</td>\n",
" <td>-22269.744000</td>\n",
" <td>-22261.563918</td>\n",
" <td>-22253.383667</td>\n",
" <td>-22245.203492</td>\n",
" <td>-22237.023145</td>\n",
" <td>-22228.843061</td>\n",
" <td>-22220.662954</td>\n",
" <td>-22212.482734</td>\n",
" <td>-22204.302320</td>\n",
" <td>...</td>\n",
" <td>-21966.736915</td>\n",
" <td>-21966.773525</td>\n",
" <td>-21966.803197</td>\n",
" <td>-21966.826522</td>\n",
" <td>-21966.844020</td>\n",
" <td>-21966.856167</td>\n",
" <td>-21966.863438</td>\n",
" <td>-21966.866208</td>\n",
" <td>-21966.864858</td>\n",
" <td>-21966.859698</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49997.3</th>\n",
" <td>-22177.880155</td>\n",
" <td>-22169.914982</td>\n",
" <td>-22161.949502</td>\n",
" <td>-22153.984069</td>\n",
" <td>-22146.018824</td>\n",
" <td>-22138.053414</td>\n",
" <td>-22130.088055</td>\n",
" <td>-22122.122998</td>\n",
" <td>-22114.157779</td>\n",
" <td>-22106.192489</td>\n",
" <td>...</td>\n",
" <td>-21881.098561</td>\n",
" <td>-21881.151178</td>\n",
" <td>-21881.195392</td>\n",
" <td>-21881.231928</td>\n",
" <td>-21881.261457</td>\n",
" <td>-21881.284568</td>\n",
" <td>-21881.301810</td>\n",
" <td>-21881.313697</td>\n",
" <td>-21881.320658</td>\n",
" <td>-21881.323098</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49997.4</th>\n",
" <td>-22013.439098</td>\n",
" <td>-22006.231227</td>\n",
" <td>-21999.023001</td>\n",
" <td>-21991.814822</td>\n",
" <td>-21984.606761</td>\n",
" <td>-21977.398703</td>\n",
" <td>-21970.190438</td>\n",
" <td>-21962.982264</td>\n",
" <td>-21955.774318</td>\n",
" <td>-21948.566143</td>\n",
" <td>...</td>\n",
" <td>-21741.014610</td>\n",
" <td>-21741.051836</td>\n",
" <td>-21741.082265</td>\n",
" <td>-21741.106440</td>\n",
" <td>-21741.124911</td>\n",
" <td>-21741.138126</td>\n",
" <td>-21741.146510</td>\n",
" <td>-21741.150486</td>\n",
" <td>-21741.150393</td>\n",
" <td>-21741.146580</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49997.5</th>\n",
" <td>-21977.690383</td>\n",
" <td>-21970.856433</td>\n",
" <td>-21964.022105</td>\n",
" <td>-21957.187848</td>\n",
" <td>-21950.353094</td>\n",
" <td>-21943.518586</td>\n",
" <td>-21936.684332</td>\n",
" <td>-21929.849909</td>\n",
" <td>-21923.015712</td>\n",
" <td>-21916.181134</td>\n",
" <td>...</td>\n",
" <td>-21718.157054</td>\n",
" <td>-21718.185775</td>\n",
" <td>-21718.208367</td>\n",
" <td>-21718.225395</td>\n",
" <td>-21718.237256</td>\n",
" <td>-21718.244387</td>\n",
" <td>-21718.247203</td>\n",
" <td>-21718.246020</td>\n",
" <td>-21718.241190</td>\n",
" <td>-21718.232973</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49997.6</th>\n",
" <td>-22054.246608</td>\n",
" <td>-22047.142775</td>\n",
" <td>-22040.038705</td>\n",
" <td>-22032.934611</td>\n",
" <td>-22025.830826</td>\n",
" <td>-22018.726447</td>\n",
" <td>-22011.622363</td>\n",
" <td>-22004.518414</td>\n",
" <td>-21997.414333</td>\n",
" <td>-21990.310512</td>\n",
" <td>...</td>\n",
" <td>-21781.135042</td>\n",
" <td>-21781.157133</td>\n",
" <td>-21781.173874</td>\n",
" <td>-21781.185739</td>\n",
" <td>-21781.193106</td>\n",
" <td>-21781.196303</td>\n",
" <td>-21781.195733</td>\n",
" <td>-21781.191636</td>\n",
" <td>-21781.184295</td>\n",
" <td>-21781.173995</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49997.7</th>\n",
" <td>-22055.518368</td>\n",
" <td>-22047.925556</td>\n",
" <td>-22040.332649</td>\n",
" <td>-22032.739718</td>\n",
" <td>-22025.147071</td>\n",
" <td>-22017.553787</td>\n",
" <td>-22009.960971</td>\n",
" <td>-22002.368305</td>\n",
" <td>-21994.775324</td>\n",
" <td>-21987.182538</td>\n",
" <td>...</td>\n",
" <td>-21766.240609</td>\n",
" <td>-21766.273809</td>\n",
" <td>-21766.300377</td>\n",
" <td>-21766.320858</td>\n",
" <td>-21766.335780</td>\n",
" <td>-21766.345557</td>\n",
" <td>-21766.350651</td>\n",
" <td>-21766.351407</td>\n",
" <td>-21766.348187</td>\n",
" <td>-21766.341297</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49997.8</th>\n",
" <td>-22070.838120</td>\n",
" <td>-22063.360263</td>\n",
" <td>-22055.882359</td>\n",
" <td>-22048.404241</td>\n",
" <td>-22040.926266</td>\n",
" <td>-22033.448241</td>\n",
" <td>-22025.970267</td>\n",
" <td>-22018.492457</td>\n",
" <td>-22011.014577</td>\n",
" <td>-22003.536744</td>\n",
" <td>...</td>\n",
" <td>-21788.353767</td>\n",
" <td>-21788.389333</td>\n",
" <td>-21788.417845</td>\n",
" <td>-21788.439913</td>\n",
" <td>-21788.456041</td>\n",
" <td>-21788.466769</td>\n",
" <td>-21788.472522</td>\n",
" <td>-21788.473729</td>\n",
" <td>-21788.470769</td>\n",
" <td>-21788.463971</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49997.9</th>\n",
" <td>-22157.732797</td>\n",
" <td>-22150.953122</td>\n",
" <td>-22144.173234</td>\n",
" <td>-22137.393512</td>\n",
" <td>-22130.613813</td>\n",
" <td>-22123.834196</td>\n",
" <td>-22117.054214</td>\n",
" <td>-22110.274562</td>\n",
" <td>-22103.494960</td>\n",
" <td>-22096.715044</td>\n",
" <td>...</td>\n",
" <td>-21899.013259</td>\n",
" <td>-21899.038928</td>\n",
" <td>-21899.058536</td>\n",
" <td>-21899.072554</td>\n",
" <td>-21899.081434</td>\n",
" <td>-21899.085601</td>\n",
" <td>-21899.085438</td>\n",
" <td>-21899.081267</td>\n",
" <td>-21899.073430</td>\n",
" <td>-21899.062206</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49998.0</th>\n",
" <td>-22216.965317</td>\n",
" <td>-22209.780940</td>\n",
" <td>-22202.596136</td>\n",
" <td>-22195.411402</td>\n",
" <td>-22188.226292</td>\n",
" <td>-22181.041795</td>\n",
" <td>-22173.857071</td>\n",
" <td>-22166.672377</td>\n",
" <td>-22159.487562</td>\n",
" <td>-22152.302650</td>\n",
" <td>...</td>\n",
" <td>-21942.870267</td>\n",
" <td>-21942.895605</td>\n",
" <td>-21942.915117</td>\n",
" <td>-21942.929254</td>\n",
" <td>-21942.938512</td>\n",
" <td>-21942.943272</td>\n",
" <td>-21942.943889</td>\n",
" <td>-21942.940715</td>\n",
" <td>-21942.934038</td>\n",
" <td>-21942.924160</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49998.1</th>\n",
" <td>-22099.110646</td>\n",
" <td>-22091.370566</td>\n",
" <td>-22083.631029</td>\n",
" <td>-22075.890924</td>\n",
" <td>-22068.150939</td>\n",
" <td>-22060.411235</td>\n",
" <td>-22052.671558</td>\n",
" <td>-22044.931616</td>\n",
" <td>-22037.191849</td>\n",
" <td>-22029.451919</td>\n",
" <td>...</td>\n",
" <td>-21802.834861</td>\n",
" <td>-21802.868037</td>\n",
" <td>-21802.894819</td>\n",
" <td>-21802.915727</td>\n",
" <td>-21802.931262</td>\n",
" <td>-21802.941822</td>\n",
" <td>-21802.947840</td>\n",
" <td>-21802.949640</td>\n",
" <td>-21802.947580</td>\n",
" <td>-21802.941943</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49998.2</th>\n",
" <td>-22024.990525</td>\n",
" <td>-22017.817736</td>\n",
" <td>-22010.644829</td>\n",
" <td>-22003.471969</td>\n",
" <td>-21996.299322</td>\n",
" <td>-21989.126298</td>\n",
" <td>-21981.953340</td>\n",
" <td>-21974.780579</td>\n",
" <td>-21967.607904</td>\n",
" <td>-21960.434682</td>\n",
" <td>...</td>\n",
" <td>-21749.863211</td>\n",
" <td>-21749.884216</td>\n",
" <td>-21749.899914</td>\n",
" <td>-21749.910785</td>\n",
" <td>-21749.917225</td>\n",
" <td>-21749.919592</td>\n",
" <td>-21749.918195</td>\n",
" <td>-21749.913388</td>\n",
" <td>-21749.905407</td>\n",
" <td>-21749.894517</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49998.3</th>\n",
" <td>-21927.859237</td>\n",
" <td>-21920.357430</td>\n",
" <td>-21912.855315</td>\n",
" <td>-21905.353364</td>\n",
" <td>-21897.851321</td>\n",
" <td>-21890.349442</td>\n",
" <td>-21882.847182</td>\n",
" <td>-21875.345403</td>\n",
" <td>-21867.843286</td>\n",
" <td>-21860.341290</td>\n",
" <td>...</td>\n",
" <td>-21637.154466</td>\n",
" <td>-21637.171184</td>\n",
" <td>-21637.183118</td>\n",
" <td>-21637.190649</td>\n",
" <td>-21637.194106</td>\n",
" <td>-21637.193846</td>\n",
" <td>-21637.190102</td>\n",
" <td>-21637.183211</td>\n",
" <td>-21637.173361</td>\n",
" <td>-21637.160833</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49998.4</th>\n",
" <td>-22123.025760</td>\n",
" <td>-22115.920900</td>\n",
" <td>-22108.815993</td>\n",
" <td>-22101.711229</td>\n",
" <td>-22094.606724</td>\n",
" <td>-22087.501819</td>\n",
" <td>-22080.397066</td>\n",
" <td>-22073.292120</td>\n",
" <td>-22066.187631</td>\n",
" <td>-22059.083092</td>\n",
" <td>...</td>\n",
" <td>-21857.191239</td>\n",
" <td>-21857.233296</td>\n",
" <td>-21857.267965</td>\n",
" <td>-21857.295884</td>\n",
" <td>-21857.317622</td>\n",
" <td>-21857.333700</td>\n",
" <td>-21857.344594</td>\n",
" <td>-21857.350751</td>\n",
" <td>-21857.352524</td>\n",
" <td>-21857.350325</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49998.5</th>\n",
" <td>-22128.952417</td>\n",
" <td>-22120.951922</td>\n",
" <td>-22112.951639</td>\n",
" <td>-22104.951095</td>\n",
" <td>-22096.950719</td>\n",
" <td>-22088.950199</td>\n",
" <td>-22080.949677</td>\n",
" <td>-22072.949160</td>\n",
" <td>-22064.948879</td>\n",
" <td>-22056.948284</td>\n",
" <td>...</td>\n",
" <td>-21823.731059</td>\n",
" <td>-21823.768662</td>\n",
" <td>-21823.799374</td>\n",
" <td>-21823.823766</td>\n",
" <td>-21823.842354</td>\n",
" <td>-21823.855568</td>\n",
" <td>-21823.863902</td>\n",
" <td>-21823.867692</td>\n",
" <td>-21823.867336</td>\n",
" <td>-21823.863169</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49998.6</th>\n",
" <td>-22180.467392</td>\n",
" <td>-22172.186499</td>\n",
" <td>-22163.905440</td>\n",
" <td>-22155.624428</td>\n",
" <td>-22147.343203</td>\n",
" <td>-22139.062025</td>\n",
" <td>-22130.780943</td>\n",
" <td>-22122.499578</td>\n",
" <td>-22114.218562</td>\n",
" <td>-22105.937340</td>\n",
" <td>...</td>\n",
" <td>-21868.733642</td>\n",
" <td>-21868.784009</td>\n",
" <td>-21868.826275</td>\n",
" <td>-21868.861135</td>\n",
" <td>-21868.889220</td>\n",
" <td>-21868.911075</td>\n",
" <td>-21868.927249</td>\n",
" <td>-21868.938214</td>\n",
" <td>-21868.944371</td>\n",
" <td>-21868.946121</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49998.7</th>\n",
" <td>-22196.456006</td>\n",
" <td>-22189.026889</td>\n",
" <td>-22181.597321</td>\n",
" <td>-22174.168297</td>\n",
" <td>-22166.739181</td>\n",
" <td>-22159.309707</td>\n",
" <td>-22151.880503</td>\n",
" <td>-22144.451473</td>\n",
" <td>-22137.022226</td>\n",
" <td>-22129.593091</td>\n",
" <td>...</td>\n",
" <td>-21917.327530</td>\n",
" <td>-21917.366839</td>\n",
" <td>-21917.398925</td>\n",
" <td>-21917.424427</td>\n",
" <td>-21917.443918</td>\n",
" <td>-21917.457889</td>\n",
" <td>-21917.466840</td>\n",
" <td>-21917.471150</td>\n",
" <td>-21917.471244</td>\n",
" <td>-21917.467457</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49998.8</th>\n",
" <td>-22166.297135</td>\n",
" <td>-22158.270536</td>\n",
" <td>-22150.243890</td>\n",
" <td>-22142.217124</td>\n",
" <td>-22134.190809</td>\n",
" <td>-22126.163901</td>\n",
" <td>-22118.137161</td>\n",
" <td>-22110.110369</td>\n",
" <td>-22102.083892</td>\n",
" <td>-22094.057124</td>\n",
" <td>...</td>\n",
" <td>-21859.987033</td>\n",
" <td>-21860.008131</td>\n",
" <td>-21860.023666</td>\n",
" <td>-21860.034110</td>\n",
" <td>-21860.039910</td>\n",
" <td>-21860.041450</td>\n",
" <td>-21860.039084</td>\n",
" <td>-21860.033140</td>\n",
" <td>-21860.023930</td>\n",
" <td>-21860.011662</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49998.9</th>\n",
" <td>-22091.069621</td>\n",
" <td>-22083.984655</td>\n",
" <td>-22076.899618</td>\n",
" <td>-22069.814629</td>\n",
" <td>-22062.729710</td>\n",
" <td>-22055.644305</td>\n",
" <td>-22048.559293</td>\n",
" <td>-22041.474211</td>\n",
" <td>-22034.389288</td>\n",
" <td>-22027.304252</td>\n",
" <td>...</td>\n",
" <td>-21824.660550</td>\n",
" <td>-21824.691122</td>\n",
" <td>-21824.715204</td>\n",
" <td>-21824.733345</td>\n",
" <td>-21824.746059</td>\n",
" <td>-21824.753827</td>\n",
" <td>-21824.757047</td>\n",
" <td>-21824.756123</td>\n",
" <td>-21824.751386</td>\n",
" <td>-21824.743169</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49999.0</th>\n",
" <td>-22257.467998</td>\n",
" <td>-22249.753732</td>\n",
" <td>-22242.039773</td>\n",
" <td>-22234.325696</td>\n",
" <td>-22226.611667</td>\n",
" <td>-22218.897590</td>\n",
" <td>-22211.183348</td>\n",
" <td>-22203.469319</td>\n",
" <td>-22195.755384</td>\n",
" <td>-22188.041068</td>\n",
" <td>...</td>\n",
" <td>-21977.721874</td>\n",
" <td>-21977.785005</td>\n",
" <td>-21977.838519</td>\n",
" <td>-21977.883345</td>\n",
" <td>-21977.920218</td>\n",
" <td>-21977.949840</td>\n",
" <td>-21977.972882</td>\n",
" <td>-21977.989883</td>\n",
" <td>-21978.001391</td>\n",
" <td>-21978.007881</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49999.1</th>\n",
" <td>-22068.168798</td>\n",
" <td>-22060.436411</td>\n",
" <td>-22052.703883</td>\n",
" <td>-22044.971970</td>\n",
" <td>-22037.239727</td>\n",
" <td>-22029.507481</td>\n",
" <td>-22021.775118</td>\n",
" <td>-22014.043037</td>\n",
" <td>-22006.310622</td>\n",
" <td>-21998.578859</td>\n",
" <td>...</td>\n",
" <td>-21777.551452</td>\n",
" <td>-21777.589152</td>\n",
" <td>-21777.619697</td>\n",
" <td>-21777.643685</td>\n",
" <td>-21777.661684</td>\n",
" <td>-21777.674235</td>\n",
" <td>-21777.681765</td>\n",
" <td>-21777.684725</td>\n",
" <td>-21777.683468</td>\n",
" <td>-21777.678378</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49999.2</th>\n",
" <td>-22060.799393</td>\n",
" <td>-22053.905051</td>\n",
" <td>-22047.011111</td>\n",
" <td>-22040.117172</td>\n",
" <td>-22033.223421</td>\n",
" <td>-22026.329293</td>\n",
" <td>-22019.435236</td>\n",
" <td>-22012.541120</td>\n",
" <td>-22005.647248</td>\n",
" <td>-21998.752561</td>\n",
" <td>...</td>\n",
" <td>-21797.323702</td>\n",
" <td>-21797.354674</td>\n",
" <td>-21797.379539</td>\n",
" <td>-21797.398814</td>\n",
" <td>-21797.412952</td>\n",
" <td>-21797.422329</td>\n",
" <td>-21797.427322</td>\n",
" <td>-21797.428296</td>\n",
" <td>-21797.425549</td>\n",
" <td>-21797.419392</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49999.3</th>\n",
" <td>-22139.146202</td>\n",
" <td>-22131.374513</td>\n",
" <td>-22123.603061</td>\n",
" <td>-22115.831466</td>\n",
" <td>-22108.059777</td>\n",
" <td>-22100.288064</td>\n",
" <td>-22092.516968</td>\n",
" <td>-22084.745278</td>\n",
" <td>-22076.973600</td>\n",
" <td>-22069.202069</td>\n",
" <td>...</td>\n",
" <td>-21855.237820</td>\n",
" <td>-21855.301114</td>\n",
" <td>-21855.354942</td>\n",
" <td>-21855.400145</td>\n",
" <td>-21855.437464</td>\n",
" <td>-21855.467633</td>\n",
" <td>-21855.491245</td>\n",
" <td>-21855.508863</td>\n",
" <td>-21855.521034</td>\n",
" <td>-21855.528184</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49999.4</th>\n",
" <td>-22300.419757</td>\n",
" <td>-22292.889488</td>\n",
" <td>-22285.359763</td>\n",
" <td>-22277.829968</td>\n",
" <td>-22270.300147</td>\n",
" <td>-22262.770281</td>\n",
" <td>-22255.240084</td>\n",
" <td>-22247.710290</td>\n",
" <td>-22240.180254</td>\n",
" <td>-22232.650580</td>\n",
" <td>...</td>\n",
" <td>-22018.114020</td>\n",
" <td>-22018.159394</td>\n",
" <td>-22018.197043</td>\n",
" <td>-22018.227662</td>\n",
" <td>-22018.251840</td>\n",
" <td>-22018.270122</td>\n",
" <td>-22018.283002</td>\n",
" <td>-22018.290937</td>\n",
" <td>-22018.294347</td>\n",
" <td>-22018.293563</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49999.5</th>\n",
" <td>-22303.186182</td>\n",
" <td>-22295.973794</td>\n",
" <td>-22288.761428</td>\n",
" <td>-22281.549088</td>\n",
" <td>-22274.336651</td>\n",
" <td>-22267.124406</td>\n",
" <td>-22259.911746</td>\n",
" <td>-22252.699567</td>\n",
" <td>-22245.486953</td>\n",
" <td>-22238.274903</td>\n",
" <td>...</td>\n",
" <td>-22027.456089</td>\n",
" <td>-22027.484575</td>\n",
" <td>-22027.507073</td>\n",
" <td>-22027.524121</td>\n",
" <td>-22027.536129</td>\n",
" <td>-22027.543516</td>\n",
" <td>-22027.546643</td>\n",
" <td>-22027.545859</td>\n",
" <td>-22027.541479</td>\n",
" <td>-22027.533758</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49999.6</th>\n",
" <td>-22228.319786</td>\n",
" <td>-22220.996493</td>\n",
" <td>-22213.673461</td>\n",
" <td>-22206.349978</td>\n",
" <td>-22199.026947</td>\n",
" <td>-22191.703607</td>\n",
" <td>-22184.380076</td>\n",
" <td>-22177.056994</td>\n",
" <td>-22169.733471</td>\n",
" <td>-22162.410114</td>\n",
" <td>...</td>\n",
" <td>-21947.231610</td>\n",
" <td>-21947.261069</td>\n",
" <td>-21947.284584</td>\n",
" <td>-21947.302652</td>\n",
" <td>-21947.315723</td>\n",
" <td>-21947.324153</td>\n",
" <td>-21947.328343</td>\n",
" <td>-21947.328631</td>\n",
" <td>-21947.325290</td>\n",
" <td>-21947.318636</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49999.7</th>\n",
" <td>-22485.889833</td>\n",
" <td>-22476.924008</td>\n",
" <td>-22467.958514</td>\n",
" <td>-22458.992948</td>\n",
" <td>-22450.027053</td>\n",
" <td>-22441.061630</td>\n",
" <td>-22432.095946</td>\n",
" <td>-22423.130243</td>\n",
" <td>-22414.164462</td>\n",
" <td>-22405.198871</td>\n",
" <td>...</td>\n",
" <td>-22159.025372</td>\n",
" <td>-22159.105792</td>\n",
" <td>-22159.175104</td>\n",
" <td>-22159.234328</td>\n",
" <td>-22159.284338</td>\n",
" <td>-22159.325968</td>\n",
" <td>-22159.359951</td>\n",
" <td>-22159.386923</td>\n",
" <td>-22159.407524</td>\n",
" <td>-22159.422275</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49999.8</th>\n",
" <td>-22557.506094</td>\n",
" <td>-22549.206012</td>\n",
" <td>-22540.905905</td>\n",
" <td>-22532.605895</td>\n",
" <td>-22524.305859</td>\n",
" <td>-22516.005917</td>\n",
" <td>-22507.705979</td>\n",
" <td>-22499.405991</td>\n",
" <td>-22491.105941</td>\n",
" <td>-22482.805930</td>\n",
" <td>...</td>\n",
" <td>-22246.171659</td>\n",
" <td>-22246.210519</td>\n",
" <td>-22246.242181</td>\n",
" <td>-22246.267279</td>\n",
" <td>-22246.286391</td>\n",
" <td>-22246.300055</td>\n",
" <td>-22246.308723</td>\n",
" <td>-22246.312843</td>\n",
" <td>-22246.312769</td>\n",
" <td>-22246.308886</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49999.9</th>\n",
" <td>-22264.315020</td>\n",
" <td>-22256.192066</td>\n",
" <td>-22248.069182</td>\n",
" <td>-22239.945825</td>\n",
" <td>-22231.822776</td>\n",
" <td>-22223.699632</td>\n",
" <td>-22215.576510</td>\n",
" <td>-22207.453253</td>\n",
" <td>-22199.330271</td>\n",
" <td>-22191.207134</td>\n",
" <td>...</td>\n",
" <td>-21953.354923</td>\n",
" <td>-21953.388619</td>\n",
" <td>-21953.415967</td>\n",
" <td>-21953.437542</td>\n",
" <td>-21953.453787</td>\n",
" <td>-21953.465151</td>\n",
" <td>-21953.472045</td>\n",
" <td>-21953.474792</td>\n",
" <td>-21953.473748</td>\n",
" <td>-21953.469201</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50000.0</th>\n",
" <td>-22403.847224</td>\n",
" <td>-22396.298143</td>\n",
" <td>-22388.749061</td>\n",
" <td>-22381.200049</td>\n",
" <td>-22373.651086</td>\n",
" <td>-22366.102028</td>\n",
" <td>-22358.553113</td>\n",
" <td>-22351.004218</td>\n",
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" <td>-22335.906028</td>\n",
" <td>...</td>\n",
" <td>-22116.988105</td>\n",
" <td>-22117.025615</td>\n",
" <td>-22117.056494</td>\n",
" <td>-22117.081289</td>\n",
" <td>-22117.100490</td>\n",
" <td>-22117.114605</td>\n",
" <td>-22117.124005</td>\n",
" <td>-22117.129099</td>\n",
" <td>-22117.130209</td>\n",
" <td>-22117.127676</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>500003 rows × 81 columns</p>\n",
"</div>"
],
"text/plain": [
" u (0.0000, 0.0000) u (0.0250, 0.0000) u (0.0500, 0.0000) \\\n",
"time (ps) \n",
"0.0 -21978.380745 -21970.414134 -21962.447239 \n",
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"0.4 -22253.855648 -22246.721389 -22239.586799 \n",
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"... ... ... ... \n",
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"49999.5 -22303.186182 -22295.973794 -22288.761428 \n",
"49999.6 -22228.319786 -22220.996493 -22213.673461 \n",
"49999.7 -22485.889833 -22476.924008 -22467.958514 \n",
"49999.8 -22557.506094 -22549.206012 -22540.905905 \n",
"49999.9 -22264.315020 -22256.192066 -22248.069182 \n",
"50000.0 -22403.847224 -22396.298143 -22388.749061 \n",
"\n",
" u (0.0750, 0.0000) u (0.1000, 0.0000) u (0.1250, 0.0000) \\\n",
"time (ps) \n",
"0.0 -21954.480699 -21946.513639 -21938.546556 \n",
"0.1 -22180.290450 -22173.425876 -22166.560803 \n",
"0.2 -22285.986897 -22279.368672 -22272.750553 \n",
"0.3 -22221.869901 -22214.484368 -22207.099499 \n",
"0.4 -22232.452446 -22225.317975 -22218.183529 \n",
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"0.8 -22255.617763 -22248.123780 -22240.630529 \n",
"0.9 -22140.958415 -22133.476969 -22125.995698 \n",
"1.0 -22038.730200 -22030.827143 -22022.924564 \n",
"1.1 -22208.843265 -22201.828559 -22194.813760 \n",
"1.2 -22256.268422 -22248.488843 -22240.709259 \n",
"1.3 -22153.734885 -22145.734348 -22137.733671 \n",
"1.4 -21946.433648 -21938.981554 -21931.529131 \n",
"1.5 -22002.435142 -21994.331458 -21986.227398 \n",
"1.6 -22131.763184 -22123.203481 -22114.643163 \n",
"1.7 -22078.844446 -22070.292485 -22061.740740 \n",
"1.8 -22015.257184 -22006.942108 -21998.627147 \n",
"1.9 -22164.978805 -22157.195494 -22149.412445 \n",
"2.0 -22144.324472 -22136.609591 -22128.894452 \n",
"2.1 -22304.759236 -22297.003319 -22289.247382 \n",
"2.2 -22043.455653 -22035.189795 -22026.923963 \n",
"2.3 -22042.278851 -22034.240034 -22026.201241 \n",
"2.4 -22099.849393 -22092.131068 -22084.413256 \n",
"2.5 -22086.306627 -22078.647619 -22070.988299 \n",
"2.6 -22308.415729 -22300.534342 -22292.652954 \n",
"2.7 -22151.174746 -22144.169303 -22137.164073 \n",
"2.8 -22272.440644 -22265.187259 -22257.933787 \n",
"2.9 -22216.684630 -22209.548363 -22202.412401 \n",
"... ... ... ... \n",
"49997.1 -22229.886326 -22222.817702 -22215.748879 \n",
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"49998.7 -22174.168297 -22166.739181 -22159.309707 \n",
"49998.8 -22142.217124 -22134.190809 -22126.163901 \n",
"49998.9 -22069.814629 -22062.729710 -22055.644305 \n",
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"49999.7 -22458.992948 -22450.027053 -22441.061630 \n",
"49999.8 -22532.605895 -22524.305859 -22516.005917 \n",
"49999.9 -22239.945825 -22231.822776 -22223.699632 \n",
"50000.0 -22381.200049 -22373.651086 -22366.102028 \n",
"\n",
" u (0.1500, 0.0000) u (0.1750, 0.0000) u (0.2000, 0.0000) \\\n",
"time (ps) \n",
"0.0 -21930.579873 -21922.612935 -21914.646389 \n",
"0.1 -22159.695981 -22152.831358 -22145.966487 \n",
"0.2 -22266.132419 -22259.514277 -22252.895957 \n",
"0.3 -22199.713819 -22192.328642 -22184.943205 \n",
"0.4 -22211.049340 -22203.914888 -22196.780208 \n",
"0.5 -22203.690675 -22196.561791 -22189.433035 \n",
"0.6 -22117.392858 -22109.825763 -22102.258618 \n",
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"0.8 -22233.136476 -22225.642705 -22218.148887 \n",
"0.9 -22118.514642 -22111.033418 -22103.552353 \n",
"1.0 -22015.021459 -22007.118781 -21999.215878 \n",
"1.1 -22187.798890 -22180.783911 -22173.769072 \n",
"1.2 -22232.929275 -22225.149577 -22217.369856 \n",
"1.3 -22129.733273 -22121.732938 -22113.732095 \n",
"1.4 -21924.076991 -21916.624496 -21909.172366 \n",
"1.5 -21978.123334 -21970.019553 -21961.915352 \n",
"1.6 -22106.083313 -22097.523351 -22088.963314 \n",
"1.7 -22053.188762 -22044.636971 -22036.085124 \n",
"1.8 -21990.311884 -21981.996618 -21973.681402 \n",
"1.9 -22141.629124 -22133.845683 -22126.062536 \n",
"2.0 -22121.179476 -22113.464482 -22105.749339 \n",
"2.1 -22281.491632 -22273.735717 -22265.979822 \n",
"2.2 -22018.658175 -22010.392317 -22002.126432 \n",
"2.3 -22018.162473 -22010.123468 -22002.084887 \n",
"2.4 -22076.695040 -22068.976814 -22061.258700 \n",
"2.5 -22063.329550 -22055.670094 -22048.010963 \n",
"2.6 -22284.771421 -22276.890035 -22269.008801 \n",
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"2.8 -22250.680280 -22243.426669 -22236.173295 \n",
"2.9 -22195.276391 -22188.140337 -22181.004224 \n",
"... ... ... ... \n",
"49997.1 -22208.680162 -22201.611550 -22194.543031 \n",
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"49998.8 -22118.137161 -22110.110369 -22102.083892 \n",
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"49999.1 -22021.775118 -22014.043037 -22006.310622 \n",
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"50000.0 -22358.553113 -22351.004218 -22343.455210 \n",
"\n",
" u (0.2250, 0.0000) ... u (1.0000, 0.7750) \\\n",
"time (ps) ... \n",
"0.0 -21906.679404 ... -21680.815127 \n",
"0.1 -22139.101829 ... -21940.521284 \n",
"0.2 -22246.277555 ... -22051.699041 \n",
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"1.0 -21991.313014 ... -21763.310194 \n",
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"1.3 -22105.731841 ... -21877.760715 \n",
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"2.0 -22098.034321 ... -21875.979435 \n",
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"2.3 -21994.046072 ... -21765.008300 \n",
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"2.5 -22040.352015 ... -21823.527037 \n",
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"2.8 -22228.919680 ... -22020.997088 \n",
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"... ... ... ... \n",
"49997.1 -22187.474185 ... -21980.046956 \n",
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"50000.0 -22335.906028 ... -22116.988105 \n",
"\n",
" u (1.0000, 0.8000) u (1.0000, 0.8250) u (1.0000, 0.8500) \\\n",
"time (ps) \n",
"0.0 -21680.871628 -21680.919652 -21680.959978 \n",
"0.1 -21940.555239 -21940.582949 -21940.604923 \n",
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"1.8 -21725.071911 -21725.105750 -21725.132908 \n",
"1.9 -21900.682441 -21900.728738 -21900.766934 \n",
"2.0 -21876.020925 -21876.055048 -21876.082419 \n",
"2.1 -22030.850783 -22030.873992 -22030.891443 \n",
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"2.4 -21837.398277 -21837.442960 -21837.479616 \n",
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"2.8 -22021.028277 -22021.052619 -22021.070710 \n",
"2.9 -21966.196780 -21966.215558 -21966.228912 \n",
"... ... ... ... \n",
"49997.1 -21980.067938 -21980.083542 -21980.094219 \n",
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"49999.4 -22018.159394 -22018.197043 -22018.227662 \n",
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"49999.6 -21947.261069 -21947.284584 -21947.302652 \n",
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"49999.8 -22246.210519 -22246.242181 -22246.267279 \n",
"49999.9 -21953.388619 -21953.415967 -21953.437542 \n",
"50000.0 -22117.025615 -22117.056494 -22117.081289 \n",
"\n",
" u (1.0000, 0.8750) u (1.0000, 0.9000) u (1.0000, 0.9250) \\\n",
"time (ps) \n",
"0.0 -21680.993223 -21681.020005 -21681.040871 \n",
"0.1 -21940.621665 -21940.633552 -21940.641009 \n",
"0.2 -22051.750002 -22051.752039 -22051.750475 \n",
"0.3 -21960.827080 -21960.831910 -21960.832690 \n",
"0.4 -21984.810908 -21984.817135 -21984.819079 \n",
"0.5 -21984.421390 -21984.445402 -21984.463470 \n",
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"0.7 -21926.136857 -21926.151468 -21926.160799 \n",
"0.8 -21995.316351 -21995.325868 -21995.330605 \n",
"0.9 -21882.382842 -21882.391959 -21882.396219 \n",
"1.0 -21763.427056 -21763.440911 -21763.449625 \n",
"1.1 -21960.437948 -21960.440148 -21960.438278 \n",
"1.2 -21989.379785 -21989.397260 -21989.409124 \n",
"1.3 -21877.902628 -21877.921049 -21877.933790 \n",
"1.4 -21680.904675 -21680.905692 -21680.902968 \n",
"1.5 -21714.347691 -21714.353705 -21714.355622 \n",
"1.6 -21841.114883 -21841.143062 -21841.164754 \n",
"1.7 -21780.794434 -21780.813592 -21780.827233 \n",
"1.8 -21725.154010 -21725.169494 -21725.179892 \n",
"1.9 -21900.797716 -21900.821728 -21900.839559 \n",
"2.0 -21876.103614 -21876.119149 -21876.129473 \n",
"2.1 -22030.903614 -22030.910908 -22030.913728 \n",
"2.2 -21759.601349 -21759.622164 -21759.637058 \n",
"2.3 -21765.162268 -21765.183320 -21765.198595 \n",
"2.4 -21837.508982 -21837.531620 -21837.548125 \n",
"2.5 -21823.667461 -21823.685575 -21823.698033 \n",
"2.6 -22029.553747 -22029.563931 -22029.569611 \n",
"2.7 -21907.939381 -21907.942695 -21907.941795 \n",
"2.8 -22021.083094 -22021.090272 -22021.092662 \n",
"2.9 -21966.237319 -21966.241129 -21966.240753 \n",
"... ... ... ... \n",
"49997.1 -21980.100330 -21980.102297 -21980.100427 \n",
"49997.2 -21966.844020 -21966.856167 -21966.863438 \n",
"49997.3 -21881.261457 -21881.284568 -21881.301810 \n",
"49997.4 -21741.124911 -21741.138126 -21741.146510 \n",
"49997.5 -21718.237256 -21718.244387 -21718.247203 \n",
"49997.6 -21781.193106 -21781.196303 -21781.195733 \n",
"49997.7 -21766.335780 -21766.345557 -21766.350651 \n",
"49997.8 -21788.456041 -21788.466769 -21788.472522 \n",
"49997.9 -21899.081434 -21899.085601 -21899.085438 \n",
"49998.0 -21942.938512 -21942.943272 -21942.943889 \n",
"49998.1 -21802.931262 -21802.941822 -21802.947840 \n",
"49998.2 -21749.917225 -21749.919592 -21749.918195 \n",
"49998.3 -21637.194106 -21637.193846 -21637.190102 \n",
"49998.4 -21857.317622 -21857.333700 -21857.344594 \n",
"49998.5 -21823.842354 -21823.855568 -21823.863902 \n",
"49998.6 -21868.889220 -21868.911075 -21868.927249 \n",
"49998.7 -21917.443918 -21917.457889 -21917.466840 \n",
"49998.8 -21860.039910 -21860.041450 -21860.039084 \n",
"49998.9 -21824.746059 -21824.753827 -21824.757047 \n",
"49999.0 -21977.920218 -21977.949840 -21977.972882 \n",
"49999.1 -21777.661684 -21777.674235 -21777.681765 \n",
"49999.2 -21797.412952 -21797.422329 -21797.427322 \n",
"49999.3 -21855.437464 -21855.467633 -21855.491245 \n",
"49999.4 -22018.251840 -22018.270122 -22018.283002 \n",
"49999.5 -22027.536129 -22027.543516 -22027.546643 \n",
"49999.6 -21947.315723 -21947.324153 -21947.328343 \n",
"49999.7 -22159.284338 -22159.325968 -22159.359951 \n",
"49999.8 -22246.286391 -22246.300055 -22246.308723 \n",
"49999.9 -21953.453787 -21953.465151 -21953.472045 \n",
"50000.0 -22117.100490 -22117.114605 -22117.124005 \n",
"\n",
" u (1.0000, 0.9500) u (1.0000, 0.9750) u (1.0000, 1.0000) \n",
"time (ps) \n",
"0.0 -21681.056308 -21681.066776 -21681.072650 \n",
"0.1 -21940.644419 -21940.644066 -21940.640276 \n",
"0.2 -22051.745622 -22051.737688 -22051.726960 \n",
"0.3 -21960.829803 -21960.823479 -21960.814056 \n",
"0.4 -21984.817112 -21984.811521 -21984.802667 \n",
"0.5 -21984.476118 -21984.483788 -21984.486892 \n",
"0.6 -21876.498873 -21876.500270 -21876.497810 \n",
"0.7 -21926.165253 -21926.165276 -21926.161202 \n",
"0.8 -21995.330912 -21995.327171 -21995.319734 \n",
"0.9 -21882.395982 -21882.391672 -21882.383598 \n",
"1.0 -21763.453602 -21763.453272 -21763.448938 \n",
"1.1 -21960.432668 -21960.423597 -21960.411329 \n",
"1.2 -21989.415875 -21989.417908 -21989.415661 \n",
"1.3 -21877.941298 -21877.944045 -21877.942411 \n",
"1.4 -21680.896811 -21680.887434 -21680.875123 \n",
"1.5 -21714.353775 -21714.348471 -21714.339971 \n",
"1.6 -21841.180571 -21841.190992 -21841.196463 \n",
"1.7 -21780.835780 -21780.839687 -21780.839311 \n",
"1.8 -21725.185548 -21725.186922 -21725.184319 \n",
"1.9 -21900.851753 -21900.858764 -21900.861038 \n",
"2.0 -21876.135036 -21876.136224 -21876.133380 \n",
"2.1 -22030.912448 -22030.907358 -22030.898783 \n",
"2.2 -21759.646509 -21759.650983 -21759.650890 \n",
"2.3 -21765.208492 -21765.213512 -21765.214032 \n",
"2.4 -21837.559042 -21837.564819 -21837.565886 \n",
"2.5 -21823.705304 -21823.707814 -21823.705967 \n",
"2.6 -22029.571175 -22029.568901 -22029.563101 \n",
"2.7 -21907.937061 -21907.928770 -21907.917263 \n",
"2.8 -22021.090671 -22021.084658 -22021.074974 \n",
"2.9 -21966.236559 -21966.228819 -21966.217831 \n",
"... ... ... ... \n",
"49997.1 -21980.095026 -21980.086382 -21980.074778 \n",
"49997.2 -21966.866208 -21966.864858 -21966.859698 \n",
"49997.3 -21881.313697 -21881.320658 -21881.323098 \n",
"49997.4 -21741.150486 -21741.150393 -21741.146580 \n",
"49997.5 -21718.246020 -21718.241190 -21718.232973 \n",
"49997.6 -21781.191636 -21781.184295 -21781.173995 \n",
"49997.7 -21766.351407 -21766.348187 -21766.341297 \n",
"49997.8 -21788.473729 -21788.470769 -21788.463971 \n",
"49997.9 -21899.081267 -21899.073430 -21899.062206 \n",
"49998.0 -21942.940715 -21942.934038 -21942.924160 \n",
"49998.1 -21802.949640 -21802.947580 -21802.941943 \n",
"49998.2 -21749.913388 -21749.905407 -21749.894517 \n",
"49998.3 -21637.183211 -21637.173361 -21637.160833 \n",
"49998.4 -21857.350751 -21857.352524 -21857.350325 \n",
"49998.5 -21823.867692 -21823.867336 -21823.863169 \n",
"49998.6 -21868.938214 -21868.944371 -21868.946121 \n",
"49998.7 -21917.471150 -21917.471244 -21917.467457 \n",
"49998.8 -21860.033140 -21860.023930 -21860.011662 \n",
"49998.9 -21824.756123 -21824.751386 -21824.743169 \n",
"49999.0 -21977.989883 -21978.001391 -21978.007881 \n",
"49999.1 -21777.684725 -21777.683468 -21777.678378 \n",
"49999.2 -21797.428296 -21797.425549 -21797.419392 \n",
"49999.3 -21855.508863 -21855.521034 -21855.528184 \n",
"49999.4 -22018.290937 -22018.294347 -22018.293563 \n",
"49999.5 -22027.545859 -22027.541479 -22027.533758 \n",
"49999.6 -21947.328631 -21947.325290 -21947.318636 \n",
"49999.7 -22159.386923 -22159.407524 -22159.422275 \n",
"49999.8 -22246.312843 -22246.312769 -22246.308886 \n",
"49999.9 -21953.474792 -21953.473748 -21953.469201 \n",
"50000.0 -22117.129099 -22117.130209 -22117.127676 \n",
"\n",
"[500003 rows x 81 columns]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"u_nk = pd.concat([gmx.extract_u_nk(xvg, T=310) for xvg in xvgs])\n",
"u_nk"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`u_nk` now has all 50ns of data for this window:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(500003, 81)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"u_nk.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looks like we have some duplicate rows; we'll drop these ourselves:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"u_nk = u_nk[~u_nk.index.duplicated()]"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(500001, 81)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"u_nk.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Subsampling data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's often the case that we can save data needed for an alchemical calculation to a finer degree than is:\n",
"1. necessary for convergence, or \n",
"2. desired given that for MD these timeseries can be highly correlated.\n",
"\n",
"For this reason, `alchemlyb` includes some functions for subsampling a timeseries in some established ways. It leaves determining which of these functions is appropriate for your data up to you. Here we'll use the simple `slicing` subsampler:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from alchemlyb.preprocessing import slicing"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>u (0.0000, 0.0000)</th>\n",
" <th>u (0.0250, 0.0000)</th>\n",
" <th>u (0.0500, 0.0000)</th>\n",
" <th>u (0.0750, 0.0000)</th>\n",
" <th>u (0.1000, 0.0000)</th>\n",
" <th>u (0.1250, 0.0000)</th>\n",
" <th>u (0.1500, 0.0000)</th>\n",
" <th>u (0.1750, 0.0000)</th>\n",
" <th>u (0.2000, 0.0000)</th>\n",
" <th>u (0.2250, 0.0000)</th>\n",
" <th>...</th>\n",
" <th>u (1.0000, 0.7750)</th>\n",
" <th>u (1.0000, 0.8000)</th>\n",
" <th>u (1.0000, 0.8250)</th>\n",
" <th>u (1.0000, 0.8500)</th>\n",
" <th>u (1.0000, 0.8750)</th>\n",
" <th>u (1.0000, 0.9000)</th>\n",
" <th>u (1.0000, 0.9250)</th>\n",
" <th>u (1.0000, 0.9500)</th>\n",
" <th>u (1.0000, 0.9750)</th>\n",
" <th>u (1.0000, 1.0000)</th>\n",
" </tr>\n",
" <tr>\n",
" <th>time (ps)</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>10000.0</th>\n",
" <td>-22199.391617</td>\n",
" <td>-22191.776113</td>\n",
" <td>-22184.160538</td>\n",
" <td>-22176.545056</td>\n",
" <td>-22168.929507</td>\n",
" <td>-22161.313930</td>\n",
" <td>-22153.698400</td>\n",
" <td>-22146.082851</td>\n",
" <td>-22138.467348</td>\n",
" <td>-22130.851842</td>\n",
" <td>...</td>\n",
" <td>-21911.796545</td>\n",
" <td>-21911.834527</td>\n",
" <td>-21911.865430</td>\n",
" <td>-21911.889891</td>\n",
" <td>-21911.908433</td>\n",
" <td>-21911.921527</td>\n",
" <td>-21911.929674</td>\n",
" <td>-21911.933248</td>\n",
" <td>-21911.932635</td>\n",
" <td>-21911.928181</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10010.0</th>\n",
" <td>-22263.121996</td>\n",
" <td>-22255.741921</td>\n",
" <td>-22248.361893</td>\n",
" <td>-22240.981818</td>\n",
" <td>-22233.602003</td>\n",
" <td>-22226.221905</td>\n",
" <td>-22218.841820</td>\n",
" <td>-22211.461884</td>\n",
" <td>-22204.081786</td>\n",
" <td>-22196.701711</td>\n",
" <td>...</td>\n",
" <td>-21983.424841</td>\n",
" <td>-21983.460903</td>\n",
" <td>-21983.490459</td>\n",
" <td>-21983.514114</td>\n",
" <td>-21983.532302</td>\n",
" <td>-21983.545513</td>\n",
" <td>-21983.554134</td>\n",
" <td>-21983.558561</td>\n",
" <td>-21983.559154</td>\n",
" <td>-21983.556171</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10020.0</th>\n",
" <td>-22253.919162</td>\n",
" <td>-22246.640850</td>\n",
" <td>-22239.362966</td>\n",
" <td>-22232.084228</td>\n",
" <td>-22224.806485</td>\n",
" <td>-22217.527889</td>\n",
" <td>-22210.249900</td>\n",
" <td>-22202.971272</td>\n",
" <td>-22195.693087</td>\n",
" <td>-22188.414976</td>\n",
" <td>...</td>\n",
" <td>-21973.083253</td>\n",
" <td>-21973.102411</td>\n",
" <td>-21973.116498</td>\n",
" <td>-21973.125973</td>\n",
" <td>-21973.131156</td>\n",
" <td>-21973.132436</td>\n",
" <td>-21973.130093</td>\n",
" <td>-21973.124409</td>\n",
" <td>-21973.115695</td>\n",
" <td>-21973.104137</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10030.0</th>\n",
" <td>-22193.848196</td>\n",
" <td>-22186.425112</td>\n",
" <td>-22179.002264</td>\n",
" <td>-22171.579203</td>\n",
" <td>-22164.156238</td>\n",
" <td>-22156.733486</td>\n",
" <td>-22149.310280</td>\n",
" <td>-22141.887470</td>\n",
" <td>-22134.464589</td>\n",
" <td>-22127.041705</td>\n",
" <td>...</td>\n",
" <td>-21912.939992</td>\n",
" <td>-21912.975367</td>\n",
" <td>-21913.004116</td>\n",
" <td>-21913.026851</td>\n",
" <td>-21913.044089</td>\n",
" <td>-21913.056260</td>\n",
" <td>-21913.063791</td>\n",
" <td>-21913.067104</td>\n",
" <td>-21913.066537</td>\n",
" <td>-21913.062394</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10040.0</th>\n",
" <td>-22078.742916</td>\n",
" <td>-22070.531933</td>\n",
" <td>-22062.320877</td>\n",
" <td>-22054.109963</td>\n",
" <td>-22045.898768</td>\n",
" <td>-22037.687853</td>\n",
" <td>-22029.476560</td>\n",
" <td>-22021.265717</td>\n",
" <td>-22013.054583</td>\n",
" <td>-22004.843430</td>\n",
" <td>...</td>\n",
" <td>-21771.672161</td>\n",
" <td>-21771.715971</td>\n",
" <td>-21771.751941</td>\n",
" <td>-21771.780759</td>\n",
" <td>-21771.803087</td>\n",
" <td>-21771.819452</td>\n",
" <td>-21771.830370</td>\n",
" <td>-21771.836314</td>\n",
" <td>-21771.837664</td>\n",
" <td>-21771.834843</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10050.0</th>\n",
" <td>-22007.528533</td>\n",
" <td>-22000.525999</td>\n",
" <td>-21993.523417</td>\n",
" <td>-21986.520693</td>\n",
" <td>-21979.518231</td>\n",
" <td>-21972.515722</td>\n",
" <td>-21965.513102</td>\n",
" <td>-21958.510523</td>\n",
" <td>-21951.507916</td>\n",
" <td>-21944.505403</td>\n",
" <td>...</td>\n",
" <td>-21737.480369</td>\n",
" <td>-21737.496093</td>\n",
" <td>-21737.507011</td>\n",
" <td>-21737.513474</td>\n",
" <td>-21737.515915</td>\n",
" <td>-21737.514588</td>\n",
" <td>-21737.509828</td>\n",
" <td>-21737.501944</td>\n",
" <td>-21737.491119</td>\n",
" <td>-21737.477645</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10060.0</th>\n",
" <td>-22123.242382</td>\n",
" <td>-22115.523927</td>\n",
" <td>-22107.805165</td>\n",
" <td>-22100.086639</td>\n",
" <td>-22092.367758</td>\n",
" <td>-22084.649445</td>\n",
" <td>-22076.930920</td>\n",
" <td>-22069.212367</td>\n",
" <td>-22061.493795</td>\n",
" <td>-22053.775208</td>\n",
" <td>...</td>\n",
" <td>-21837.658129</td>\n",
" <td>-21837.712171</td>\n",
" <td>-21837.757471</td>\n",
" <td>-21837.794836</td>\n",
" <td>-21837.824936</td>\n",
" <td>-21837.848447</td>\n",
" <td>-21837.865902</td>\n",
" <td>-21837.877836</td>\n",
" <td>-21837.884726</td>\n",
" <td>-21837.887000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10070.0</th>\n",
" <td>-22407.874492</td>\n",
" <td>-22399.985370</td>\n",
" <td>-22392.095987</td>\n",
" <td>-22384.207029</td>\n",
" <td>-22376.317859</td>\n",
" <td>-22368.428736</td>\n",
" <td>-22360.539424</td>\n",
" <td>-22352.650251</td>\n",
" <td>-22344.760753</td>\n",
" <td>-22336.871627</td>\n",
" <td>...</td>\n",
" <td>-22102.839472</td>\n",
" <td>-22102.860714</td>\n",
" <td>-22102.876791</td>\n",
" <td>-22102.888112</td>\n",
" <td>-22102.895049</td>\n",
" <td>-22102.897963</td>\n",
" <td>-22102.897156</td>\n",
" <td>-22102.892943</td>\n",
" <td>-22102.885579</td>\n",
" <td>-22102.875301</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10080.0</th>\n",
" <td>-22023.193716</td>\n",
" <td>-22016.138615</td>\n",
" <td>-22009.083278</td>\n",
" <td>-22002.028012</td>\n",
" <td>-21994.972721</td>\n",
" <td>-21987.917502</td>\n",
" <td>-21980.862260</td>\n",
" <td>-21973.806994</td>\n",
" <td>-21966.751774</td>\n",
" <td>-21959.696496</td>\n",
" <td>...</td>\n",
" <td>-21758.505385</td>\n",
" <td>-21758.537094</td>\n",
" <td>-21758.562313</td>\n",
" <td>-21758.581587</td>\n",
" <td>-21758.595465</td>\n",
" <td>-21758.604392</td>\n",
" <td>-21758.608773</td>\n",
" <td>-21758.609033</td>\n",
" <td>-21758.605483</td>\n",
" <td>-21758.598449</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10090.0</th>\n",
" <td>-22192.746707</td>\n",
" <td>-22185.411405</td>\n",
" <td>-22178.075961</td>\n",
" <td>-22170.740492</td>\n",
" <td>-22163.404955</td>\n",
" <td>-22156.069736</td>\n",
" <td>-22148.734149</td>\n",
" <td>-22141.398656</td>\n",
" <td>-22134.063225</td>\n",
" <td>-22126.727783</td>\n",
" <td>...</td>\n",
" <td>-21912.777939</td>\n",
" <td>-21912.802047</td>\n",
" <td>-21912.820208</td>\n",
" <td>-21912.832903</td>\n",
" <td>-21912.840624</td>\n",
" <td>-21912.843724</td>\n",
" <td>-21912.842633</td>\n",
" <td>-21912.837687</td>\n",
" <td>-21912.829159</td>\n",
" <td>-21912.817392</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10100.0</th>\n",
" <td>-21958.619322</td>\n",
" <td>-21951.425793</td>\n",
" <td>-21944.232691</td>\n",
" <td>-21937.039304</td>\n",
" <td>-21929.846132</td>\n",
" <td>-21922.652923</td>\n",
" <td>-21915.459652</td>\n",
" <td>-21908.266387</td>\n",
" <td>-21901.073308</td>\n",
" <td>-21893.879900</td>\n",
" <td>...</td>\n",
" <td>-21687.568422</td>\n",
" <td>-21687.608468</td>\n",
" <td>-21687.641380</td>\n",
" <td>-21687.667809</td>\n",
" <td>-21687.688244</td>\n",
" <td>-21687.703235</td>\n",
" <td>-21687.713226</td>\n",
" <td>-21687.718626</td>\n",
" <td>-21687.719810</td>\n",
" <td>-21687.717136</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10110.0</th>\n",
" <td>-22328.517993</td>\n",
" <td>-22320.825803</td>\n",
" <td>-22313.133257</td>\n",
" <td>-22305.440995</td>\n",
" <td>-22297.748592</td>\n",
" <td>-22290.056283</td>\n",
" <td>-22282.363795</td>\n",
" <td>-22274.671512</td>\n",
" <td>-22266.979132</td>\n",
" <td>-22259.286822</td>\n",
" <td>...</td>\n",
" <td>-22048.201532</td>\n",
" <td>-22048.267077</td>\n",
" <td>-22048.322891</td>\n",
" <td>-22048.369875</td>\n",
" <td>-22048.408804</td>\n",
" <td>-22048.440393</td>\n",
" <td>-22048.465305</td>\n",
" <td>-22048.484129</td>\n",
" <td>-22048.497344</td>\n",
" <td>-22048.505487</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10120.0</th>\n",
" <td>-22226.413695</td>\n",
" <td>-22218.913841</td>\n",
" <td>-22211.414034</td>\n",
" <td>-22203.914203</td>\n",
" <td>-22196.414255</td>\n",
" <td>-22188.914472</td>\n",
" <td>-22181.414652</td>\n",
" <td>-22173.914801</td>\n",
" <td>-22166.414803</td>\n",
" <td>-22158.914975</td>\n",
" <td>...</td>\n",
" <td>-21937.374890</td>\n",
" <td>-21937.397222</td>\n",
" <td>-21937.414033</td>\n",
" <td>-21937.425781</td>\n",
" <td>-21937.432838</td>\n",
" <td>-21937.435585</td>\n",
" <td>-21937.434374</td>\n",
" <td>-21937.429521</td>\n",
" <td>-21937.421280</td>\n",
" <td>-21937.409963</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10130.0</th>\n",
" <td>-21963.599898</td>\n",
" <td>-21955.820287</td>\n",
" <td>-21948.040913</td>\n",
" <td>-21940.261325</td>\n",
" <td>-21932.481951</td>\n",
" <td>-21924.702341</td>\n",
" <td>-21916.922632</td>\n",
" <td>-21909.143202</td>\n",
" <td>-21901.363637</td>\n",
" <td>-21893.584075</td>\n",
" <td>...</td>\n",
" <td>-21672.202458</td>\n",
" <td>-21672.251711</td>\n",
" <td>-21672.292965</td>\n",
" <td>-21672.326920</td>\n",
" <td>-21672.354176</td>\n",
" <td>-21672.375301</td>\n",
" <td>-21672.390808</td>\n",
" <td>-21672.401206</td>\n",
" <td>-21672.406866</td>\n",
" <td>-21672.408189</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10140.0</th>\n",
" <td>-22154.001923</td>\n",
" <td>-22146.496222</td>\n",
" <td>-22138.990473</td>\n",
" <td>-22131.484842</td>\n",
" <td>-22123.979141</td>\n",
" <td>-22116.473414</td>\n",
" <td>-22108.967748</td>\n",
" <td>-22101.462093</td>\n",
" <td>-22093.956349</td>\n",
" <td>-22086.450632</td>\n",
" <td>...</td>\n",
" <td>-21869.419934</td>\n",
" <td>-21869.440892</td>\n",
" <td>-21869.456283</td>\n",
" <td>-21869.466560</td>\n",
" <td>-21869.472221</td>\n",
" <td>-21869.473618</td>\n",
" <td>-21869.471154</td>\n",
" <td>-21869.465164</td>\n",
" <td>-21869.455953</td>\n",
" <td>-21869.443755</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10150.0</th>\n",
" <td>-22039.675261</td>\n",
" <td>-22031.778123</td>\n",
" <td>-22023.881197</td>\n",
" <td>-22015.983845</td>\n",
" <td>-22008.086731</td>\n",
" <td>-22000.189592</td>\n",
" <td>-21992.292428</td>\n",
" <td>-21984.395422</td>\n",
" <td>-21976.498273</td>\n",
" <td>-21968.601112</td>\n",
" <td>...</td>\n",
" <td>-21745.075155</td>\n",
" <td>-21745.125072</td>\n",
" <td>-21745.166702</td>\n",
" <td>-21745.200754</td>\n",
" <td>-21745.227843</td>\n",
" <td>-21745.248611</td>\n",
" <td>-21745.263575</td>\n",
" <td>-21745.273212</td>\n",
" <td>-21745.277973</td>\n",
" <td>-21745.278283</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10160.0</th>\n",
" <td>-22253.894206</td>\n",
" <td>-22245.435050</td>\n",
" <td>-22236.975988</td>\n",
" <td>-22228.516644</td>\n",
" <td>-22220.057344</td>\n",
" <td>-22211.598309</td>\n",
" <td>-22203.139034</td>\n",
" <td>-22194.680046</td>\n",
" <td>-22186.220790</td>\n",
" <td>-22177.761542</td>\n",
" <td>...</td>\n",
" <td>-21936.407741</td>\n",
" <td>-21936.462682</td>\n",
" <td>-21936.509235</td>\n",
" <td>-21936.548095</td>\n",
" <td>-21936.579967</td>\n",
" <td>-21936.605376</td>\n",
" <td>-21936.624937</td>\n",
" <td>-21936.639075</td>\n",
" <td>-21936.648262</td>\n",
" <td>-21936.652926</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10170.0</th>\n",
" <td>-22184.863597</td>\n",
" <td>-22177.727180</td>\n",
" <td>-22170.590526</td>\n",
" <td>-22163.454039</td>\n",
" <td>-22156.317408</td>\n",
" <td>-22149.180816</td>\n",
" <td>-22142.044197</td>\n",
" <td>-22134.907600</td>\n",
" <td>-22127.771053</td>\n",
" <td>-22120.634506</td>\n",
" <td>...</td>\n",
" <td>-21908.650641</td>\n",
" <td>-21908.664659</td>\n",
" <td>-21908.674064</td>\n",
" <td>-21908.679177</td>\n",
" <td>-21908.680384</td>\n",
" <td>-21908.677970</td>\n",
" <td>-21908.672240</td>\n",
" <td>-21908.663429</td>\n",
" <td>-21908.651801</td>\n",
" <td>-21908.637571</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10180.0</th>\n",
" <td>-22225.704247</td>\n",
" <td>-22217.591137</td>\n",
" <td>-22209.478099</td>\n",
" <td>-22201.364964</td>\n",
" <td>-22193.251667</td>\n",
" <td>-22185.138627</td>\n",
" <td>-22177.025445</td>\n",
" <td>-22168.912407</td>\n",
" <td>-22160.799206</td>\n",
" <td>-22152.686202</td>\n",
" <td>...</td>\n",
" <td>-21926.714623</td>\n",
" <td>-21926.767997</td>\n",
" <td>-21926.812921</td>\n",
" <td>-21926.850167</td>\n",
" <td>-21926.880432</td>\n",
" <td>-21926.904324</td>\n",
" <td>-21926.922415</td>\n",
" <td>-21926.935226</td>\n",
" <td>-21926.943207</td>\n",
" <td>-21926.946761</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10190.0</th>\n",
" <td>-22043.693301</td>\n",
" <td>-22035.721836</td>\n",
" <td>-22027.750417</td>\n",
" <td>-22019.779187</td>\n",
" <td>-22011.807793</td>\n",
" <td>-22003.836442</td>\n",
" <td>-21995.865142</td>\n",
" <td>-21987.893653</td>\n",
" <td>-21979.922509</td>\n",
" <td>-21971.950958</td>\n",
" <td>...</td>\n",
" <td>-21745.662795</td>\n",
" <td>-21745.717329</td>\n",
" <td>-21745.763603</td>\n",
" <td>-21745.802319</td>\n",
" <td>-21745.834121</td>\n",
" <td>-21745.859576</td>\n",
" <td>-21745.879254</td>\n",
" <td>-21745.893629</td>\n",
" <td>-21745.903099</td>\n",
" <td>-21745.908120</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10200.0</th>\n",
" <td>-22112.981871</td>\n",
" <td>-22105.565021</td>\n",
" <td>-22098.148408</td>\n",
" <td>-22090.731726</td>\n",
" <td>-22083.314851</td>\n",
" <td>-22075.898099</td>\n",
" <td>-22068.481202</td>\n",
" <td>-22061.064634</td>\n",
" <td>-22053.647712</td>\n",
" <td>-22046.230985</td>\n",
" <td>...</td>\n",
" <td>-21838.110727</td>\n",
" <td>-21838.163441</td>\n",
" <td>-21838.207628</td>\n",
" <td>-21838.244047</td>\n",
" <td>-21838.273339</td>\n",
" <td>-21838.296144</td>\n",
" <td>-21838.312978</td>\n",
" <td>-21838.324369</td>\n",
" <td>-21838.330763</td>\n",
" <td>-21838.332610</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10210.0</th>\n",
" <td>-22139.954775</td>\n",
" <td>-22133.250085</td>\n",
" <td>-22126.545726</td>\n",
" <td>-22119.841025</td>\n",
" <td>-22113.136689</td>\n",
" <td>-22106.432274</td>\n",
" <td>-22099.727653</td>\n",
" <td>-22093.023094</td>\n",
" <td>-22086.318674</td>\n",
" <td>-22079.614153</td>\n",
" <td>...</td>\n",
" <td>-21884.485312</td>\n",
" <td>-21884.511430</td>\n",
" <td>-21884.531582</td>\n",
" <td>-21884.546193</td>\n",
" <td>-21884.555784</td>\n",
" <td>-21884.560734</td>\n",
" <td>-21884.561398</td>\n",
" <td>-21884.558154</td>\n",
" <td>-21884.551287</td>\n",
" <td>-21884.541103</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10220.0</th>\n",
" <td>-22251.660834</td>\n",
" <td>-22243.916067</td>\n",
" <td>-22236.171183</td>\n",
" <td>-22228.426607</td>\n",
" <td>-22220.681839</td>\n",
" <td>-22212.937076</td>\n",
" <td>-22205.192358</td>\n",
" <td>-22197.447539</td>\n",
" <td>-22189.702666</td>\n",
" <td>-22181.957906</td>\n",
" <td>...</td>\n",
" <td>-21963.782758</td>\n",
" <td>-21963.835375</td>\n",
" <td>-21963.879589</td>\n",
" <td>-21963.916148</td>\n",
" <td>-21963.945680</td>\n",
" <td>-21963.968815</td>\n",
" <td>-21963.986053</td>\n",
" <td>-21963.997941</td>\n",
" <td>-21964.004878</td>\n",
" <td>-21964.007318</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10230.0</th>\n",
" <td>-22108.426055</td>\n",
" <td>-22100.287726</td>\n",
" <td>-22092.148544</td>\n",
" <td>-22084.010358</td>\n",
" <td>-22075.871698</td>\n",
" <td>-22067.732919</td>\n",
" <td>-22059.594612</td>\n",
" <td>-22051.455836</td>\n",
" <td>-22043.317436</td>\n",
" <td>-22035.178869</td>\n",
" <td>...</td>\n",
" <td>-21795.464818</td>\n",
" <td>-21795.493994</td>\n",
" <td>-21795.517366</td>\n",
" <td>-21795.535360</td>\n",
" <td>-21795.548481</td>\n",
" <td>-21795.557075</td>\n",
" <td>-21795.561506</td>\n",
" <td>-21795.562146</td>\n",
" <td>-21795.559255</td>\n",
" <td>-21795.553145</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10240.0</th>\n",
" <td>-22051.639192</td>\n",
" <td>-22044.672350</td>\n",
" <td>-22037.705390</td>\n",
" <td>-22030.738405</td>\n",
" <td>-22023.771398</td>\n",
" <td>-22016.804237</td>\n",
" <td>-22009.837321</td>\n",
" <td>-22002.870292</td>\n",
" <td>-21995.903260</td>\n",
" <td>-21988.936227</td>\n",
" <td>...</td>\n",
" <td>-21787.346106</td>\n",
" <td>-21787.383332</td>\n",
" <td>-21787.413831</td>\n",
" <td>-21787.438130</td>\n",
" <td>-21787.456718</td>\n",
" <td>-21787.470095</td>\n",
" <td>-21787.478670</td>\n",
" <td>-21787.482813</td>\n",
" <td>-21787.482883</td>\n",
" <td>-21787.479213</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10250.0</th>\n",
" <td>-22278.302247</td>\n",
" <td>-22270.433722</td>\n",
" <td>-22262.565695</td>\n",
" <td>-22254.697501</td>\n",
" <td>-22246.829190</td>\n",
" <td>-22238.961138</td>\n",
" <td>-22231.092897</td>\n",
" <td>-22223.224586</td>\n",
" <td>-22215.356372</td>\n",
" <td>-22207.488057</td>\n",
" <td>...</td>\n",
" <td>-21975.177267</td>\n",
" <td>-21975.200045</td>\n",
" <td>-21975.217333</td>\n",
" <td>-21975.229504</td>\n",
" <td>-21975.237034</td>\n",
" <td>-21975.240255</td>\n",
" <td>-21975.239545</td>\n",
" <td>-21975.235188</td>\n",
" <td>-21975.227490</td>\n",
" <td>-21975.216693</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10260.0</th>\n",
" <td>-22292.356154</td>\n",
" <td>-22284.300777</td>\n",
" <td>-22276.245044</td>\n",
" <td>-22268.189809</td>\n",
" <td>-22260.134337</td>\n",
" <td>-22252.078843</td>\n",
" <td>-22244.023275</td>\n",
" <td>-22235.967972</td>\n",
" <td>-22227.912424</td>\n",
" <td>-22219.857046</td>\n",
" <td>...</td>\n",
" <td>-21988.375845</td>\n",
" <td>-21988.421502</td>\n",
" <td>-21988.459368</td>\n",
" <td>-21988.490127</td>\n",
" <td>-21988.514329</td>\n",
" <td>-21988.532564</td>\n",
" <td>-21988.545301</td>\n",
" <td>-21988.553022</td>\n",
" <td>-21988.556098</td>\n",
" <td>-21988.554938</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10270.0</th>\n",
" <td>-22121.278511</td>\n",
" <td>-22114.001259</td>\n",
" <td>-22106.723320</td>\n",
" <td>-22099.445880</td>\n",
" <td>-22092.168344</td>\n",
" <td>-22084.890926</td>\n",
" <td>-22077.613369</td>\n",
" <td>-22070.335922</td>\n",
" <td>-22063.058295</td>\n",
" <td>-22055.780929</td>\n",
" <td>...</td>\n",
" <td>-21848.374572</td>\n",
" <td>-21848.419822</td>\n",
" <td>-21848.457781</td>\n",
" <td>-21848.489041</td>\n",
" <td>-21848.514212</td>\n",
" <td>-21848.533797</td>\n",
" <td>-21848.548288</td>\n",
" <td>-21848.558069</td>\n",
" <td>-21848.563563</td>\n",
" <td>-21848.565099</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10280.0</th>\n",
" <td>-22065.903604</td>\n",
" <td>-22058.751502</td>\n",
" <td>-22051.598715</td>\n",
" <td>-22044.446402</td>\n",
" <td>-22037.293896</td>\n",
" <td>-22030.141204</td>\n",
" <td>-22022.988749</td>\n",
" <td>-22015.836412</td>\n",
" <td>-22008.683950</td>\n",
" <td>-22001.531427</td>\n",
" <td>...</td>\n",
" <td>-21792.266218</td>\n",
" <td>-21792.293310</td>\n",
" <td>-21792.314502</td>\n",
" <td>-21792.330250</td>\n",
" <td>-21792.341024</td>\n",
" <td>-21792.347204</td>\n",
" <td>-21792.349171</td>\n",
" <td>-21792.347278</td>\n",
" <td>-21792.341831</td>\n",
" <td>-21792.333093</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10290.0</th>\n",
" <td>-22103.358534</td>\n",
" <td>-22095.854854</td>\n",
" <td>-22088.351268</td>\n",
" <td>-22080.847539</td>\n",
" <td>-22073.343694</td>\n",
" <td>-22065.840308</td>\n",
" <td>-22058.336735</td>\n",
" <td>-22050.833078</td>\n",
" <td>-22043.329436</td>\n",
" <td>-22035.825915</td>\n",
" <td>...</td>\n",
" <td>-21813.727894</td>\n",
" <td>-21813.742218</td>\n",
" <td>-21813.751716</td>\n",
" <td>-21813.756829</td>\n",
" <td>-21813.757919</td>\n",
" <td>-21813.755289</td>\n",
" <td>-21813.749275</td>\n",
" <td>-21813.740111</td>\n",
" <td>-21813.728107</td>\n",
" <td>-21813.713450</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49710.0</th>\n",
" <td>-22132.187576</td>\n",
" <td>-22124.149222</td>\n",
" <td>-22116.110962</td>\n",
" <td>-22108.072845</td>\n",
" <td>-22100.034491</td>\n",
" <td>-22091.995876</td>\n",
" <td>-22083.957760</td>\n",
" <td>-22075.919597</td>\n",
" <td>-22067.881155</td>\n",
" <td>-22059.843016</td>\n",
" <td>...</td>\n",
" <td>-21834.465338</td>\n",
" <td>-21834.525885</td>\n",
" <td>-21834.577393</td>\n",
" <td>-21834.620679</td>\n",
" <td>-21834.656435</td>\n",
" <td>-21834.685300</td>\n",
" <td>-21834.707916</td>\n",
" <td>-21834.724777</td>\n",
" <td>-21834.736354</td>\n",
" <td>-21834.743128</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49720.0</th>\n",
" <td>-22196.720663</td>\n",
" <td>-22190.443042</td>\n",
" <td>-22184.165374</td>\n",
" <td>-22177.887706</td>\n",
" <td>-22171.610133</td>\n",
" <td>-22165.332629</td>\n",
" <td>-22159.054987</td>\n",
" <td>-22152.777390</td>\n",
" <td>-22146.499828</td>\n",
" <td>-22140.222220</td>\n",
" <td>...</td>\n",
" <td>-21960.578787</td>\n",
" <td>-21960.617220</td>\n",
" <td>-21960.649092</td>\n",
" <td>-21960.674950</td>\n",
" <td>-21960.695315</td>\n",
" <td>-21960.710613</td>\n",
" <td>-21960.721294</td>\n",
" <td>-21960.727688</td>\n",
" <td>-21960.730198</td>\n",
" <td>-21960.729084</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49730.0</th>\n",
" <td>-22111.168212</td>\n",
" <td>-22103.696062</td>\n",
" <td>-22096.223794</td>\n",
" <td>-22088.751669</td>\n",
" <td>-22081.279401</td>\n",
" <td>-22073.807346</td>\n",
" <td>-22066.335019</td>\n",
" <td>-22058.862851</td>\n",
" <td>-22051.390461</td>\n",
" <td>-22043.918451</td>\n",
" <td>...</td>\n",
" <td>-21833.387748</td>\n",
" <td>-21833.432765</td>\n",
" <td>-21833.469634</td>\n",
" <td>-21833.499117</td>\n",
" <td>-21833.521801</td>\n",
" <td>-21833.538259</td>\n",
" <td>-21833.549061</td>\n",
" <td>-21833.554647</td>\n",
" <td>-21833.555478</td>\n",
" <td>-21833.551924</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49740.0</th>\n",
" <td>-22004.284637</td>\n",
" <td>-21996.724777</td>\n",
" <td>-21989.164846</td>\n",
" <td>-21981.604891</td>\n",
" <td>-21974.045220</td>\n",
" <td>-21966.485313</td>\n",
" <td>-21958.925514</td>\n",
" <td>-21951.365748</td>\n",
" <td>-21943.806005</td>\n",
" <td>-21936.245968</td>\n",
" <td>...</td>\n",
" <td>-21721.102261</td>\n",
" <td>-21721.144387</td>\n",
" <td>-21721.178964</td>\n",
" <td>-21721.206619</td>\n",
" <td>-21721.227957</td>\n",
" <td>-21721.243538</td>\n",
" <td>-21721.253839</td>\n",
" <td>-21721.259286</td>\n",
" <td>-21721.260280</td>\n",
" <td>-21721.257226</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49750.0</th>\n",
" <td>-22062.751095</td>\n",
" <td>-22055.371313</td>\n",
" <td>-22047.991698</td>\n",
" <td>-22040.611893</td>\n",
" <td>-22033.232135</td>\n",
" <td>-22025.852377</td>\n",
" <td>-22018.472665</td>\n",
" <td>-22011.092982</td>\n",
" <td>-22003.713221</td>\n",
" <td>-21996.333456</td>\n",
" <td>...</td>\n",
" <td>-21789.188657</td>\n",
" <td>-21789.231517</td>\n",
" <td>-21789.266567</td>\n",
" <td>-21789.294435</td>\n",
" <td>-21789.315820</td>\n",
" <td>-21789.331211</td>\n",
" <td>-21789.341159</td>\n",
" <td>-21789.346129</td>\n",
" <td>-21789.346509</td>\n",
" <td>-21789.342695</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49760.0</th>\n",
" <td>-22071.469867</td>\n",
" <td>-22063.201724</td>\n",
" <td>-22054.933817</td>\n",
" <td>-22046.665390</td>\n",
" <td>-22038.396986</td>\n",
" <td>-22030.129077</td>\n",
" <td>-22021.860961</td>\n",
" <td>-22013.592628</td>\n",
" <td>-22005.324508</td>\n",
" <td>-21997.056148</td>\n",
" <td>...</td>\n",
" <td>-21763.768556</td>\n",
" <td>-21763.829178</td>\n",
" <td>-21763.880708</td>\n",
" <td>-21763.923972</td>\n",
" <td>-21763.959634</td>\n",
" <td>-21763.988379</td>\n",
" <td>-21764.010758</td>\n",
" <td>-21764.027359</td>\n",
" <td>-21764.038607</td>\n",
" <td>-21764.044977</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49770.0</th>\n",
" <td>-22068.696996</td>\n",
" <td>-22061.374423</td>\n",
" <td>-22054.051708</td>\n",
" <td>-22046.729156</td>\n",
" <td>-22039.406301</td>\n",
" <td>-22032.083230</td>\n",
" <td>-22024.760665</td>\n",
" <td>-22017.437906</td>\n",
" <td>-22010.115177</td>\n",
" <td>-22002.792286</td>\n",
" <td>...</td>\n",
" <td>-21785.922582</td>\n",
" <td>-21785.941290</td>\n",
" <td>-21785.955001</td>\n",
" <td>-21785.964118</td>\n",
" <td>-21785.969019</td>\n",
" <td>-21785.970016</td>\n",
" <td>-21785.967432</td>\n",
" <td>-21785.961562</td>\n",
" <td>-21785.952634</td>\n",
" <td>-21785.940910</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49780.0</th>\n",
" <td>-22263.997416</td>\n",
" <td>-22255.554928</td>\n",
" <td>-22247.112440</td>\n",
" <td>-22238.669977</td>\n",
" <td>-22230.227487</td>\n",
" <td>-22221.785047</td>\n",
" <td>-22213.342276</td>\n",
" <td>-22204.900072</td>\n",
" <td>-22196.457488</td>\n",
" <td>-22188.015004</td>\n",
" <td>...</td>\n",
" <td>-21950.292129</td>\n",
" <td>-21950.349340</td>\n",
" <td>-21950.397786</td>\n",
" <td>-21950.438233</td>\n",
" <td>-21950.471362</td>\n",
" <td>-21950.497837</td>\n",
" <td>-21950.518202</td>\n",
" <td>-21950.533003</td>\n",
" <td>-21950.542687</td>\n",
" <td>-21950.547684</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49790.0</th>\n",
" <td>-22283.915672</td>\n",
" <td>-22276.061833</td>\n",
" <td>-22268.208278</td>\n",
" <td>-22260.354510</td>\n",
" <td>-22252.500788</td>\n",
" <td>-22244.646998</td>\n",
" <td>-22236.793419</td>\n",
" <td>-22228.939831</td>\n",
" <td>-22221.086081</td>\n",
" <td>-22213.232528</td>\n",
" <td>...</td>\n",
" <td>-21991.625823</td>\n",
" <td>-21991.667570</td>\n",
" <td>-21991.701692</td>\n",
" <td>-21991.728877</td>\n",
" <td>-21991.749739</td>\n",
" <td>-21991.764823</td>\n",
" <td>-21991.774651</td>\n",
" <td>-21991.779648</td>\n",
" <td>-21991.780265</td>\n",
" <td>-21991.776854</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49800.0</th>\n",
" <td>-22145.446075</td>\n",
" <td>-22138.032309</td>\n",
" <td>-22130.618945</td>\n",
" <td>-22123.205557</td>\n",
" <td>-22115.792194</td>\n",
" <td>-22108.378737</td>\n",
" <td>-22100.964945</td>\n",
" <td>-22093.551558</td>\n",
" <td>-22086.138218</td>\n",
" <td>-22078.724715</td>\n",
" <td>...</td>\n",
" <td>-21861.730094</td>\n",
" <td>-21861.755452</td>\n",
" <td>-21861.774847</td>\n",
" <td>-21861.788772</td>\n",
" <td>-21861.797676</td>\n",
" <td>-21861.801986</td>\n",
" <td>-21861.802033</td>\n",
" <td>-21861.798196</td>\n",
" <td>-21861.790785</td>\n",
" <td>-21861.780081</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49810.0</th>\n",
" <td>-22277.111683</td>\n",
" <td>-22269.263092</td>\n",
" <td>-22261.414170</td>\n",
" <td>-22253.565627</td>\n",
" <td>-22245.716611</td>\n",
" <td>-22237.867856</td>\n",
" <td>-22230.019169</td>\n",
" <td>-22222.170295</td>\n",
" <td>-22214.321469</td>\n",
" <td>-22206.472851</td>\n",
" <td>...</td>\n",
" <td>-21980.113157</td>\n",
" <td>-21980.152680</td>\n",
" <td>-21980.185002</td>\n",
" <td>-21980.210694</td>\n",
" <td>-21980.230349</td>\n",
" <td>-21980.244440</td>\n",
" <td>-21980.253437</td>\n",
" <td>-21980.257771</td>\n",
" <td>-21980.257818</td>\n",
" <td>-21980.253934</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49820.0</th>\n",
" <td>-22098.334973</td>\n",
" <td>-22090.183892</td>\n",
" <td>-22082.032811</td>\n",
" <td>-22073.881776</td>\n",
" <td>-22065.730719</td>\n",
" <td>-22057.579733</td>\n",
" <td>-22049.428580</td>\n",
" <td>-22041.277667</td>\n",
" <td>-22033.126538</td>\n",
" <td>-22024.975420</td>\n",
" <td>...</td>\n",
" <td>-21792.473731</td>\n",
" <td>-21792.521704</td>\n",
" <td>-21792.561630</td>\n",
" <td>-21792.594189</td>\n",
" <td>-21792.620001</td>\n",
" <td>-21792.639656</td>\n",
" <td>-21792.653674</td>\n",
" <td>-21792.662531</td>\n",
" <td>-21792.666651</td>\n",
" <td>-21792.666415</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49830.0</th>\n",
" <td>-22083.529366</td>\n",
" <td>-22075.927523</td>\n",
" <td>-22068.325634</td>\n",
" <td>-22060.723697</td>\n",
" <td>-22053.121735</td>\n",
" <td>-22045.520035</td>\n",
" <td>-22037.918098</td>\n",
" <td>-22030.316221</td>\n",
" <td>-22022.714185</td>\n",
" <td>-22015.112347</td>\n",
" <td>...</td>\n",
" <td>-21795.209824</td>\n",
" <td>-21795.244323</td>\n",
" <td>-21795.272102</td>\n",
" <td>-21795.293697</td>\n",
" <td>-21795.309635</td>\n",
" <td>-21795.320409</td>\n",
" <td>-21795.326423</td>\n",
" <td>-21795.328056</td>\n",
" <td>-21795.325713</td>\n",
" <td>-21795.319652</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49840.0</th>\n",
" <td>-22210.598073</td>\n",
" <td>-22203.800578</td>\n",
" <td>-22197.002753</td>\n",
" <td>-22190.205175</td>\n",
" <td>-22183.407397</td>\n",
" <td>-22176.609901</td>\n",
" <td>-22169.812266</td>\n",
" <td>-22163.014557</td>\n",
" <td>-22156.216969</td>\n",
" <td>-22149.419330</td>\n",
" <td>...</td>\n",
" <td>-21963.162783</td>\n",
" <td>-21963.206733</td>\n",
" <td>-21963.242939</td>\n",
" <td>-21963.272092</td>\n",
" <td>-21963.294846</td>\n",
" <td>-21963.311778</td>\n",
" <td>-21963.323405</td>\n",
" <td>-21963.330202</td>\n",
" <td>-21963.332616</td>\n",
" <td>-21963.330982</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49850.0</th>\n",
" <td>-22272.070702</td>\n",
" <td>-22264.872051</td>\n",
" <td>-22257.672950</td>\n",
" <td>-22250.473825</td>\n",
" <td>-22243.274939</td>\n",
" <td>-22236.075861</td>\n",
" <td>-22228.876901</td>\n",
" <td>-22221.677812</td>\n",
" <td>-22214.479092</td>\n",
" <td>-22207.279822</td>\n",
" <td>...</td>\n",
" <td>-21994.866566</td>\n",
" <td>-21994.887691</td>\n",
" <td>-21994.903318</td>\n",
" <td>-21994.913833</td>\n",
" <td>-21994.919707</td>\n",
" <td>-21994.921243</td>\n",
" <td>-21994.918853</td>\n",
" <td>-21994.912766</td>\n",
" <td>-21994.903342</td>\n",
" <td>-21994.890791</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49860.0</th>\n",
" <td>-22149.832187</td>\n",
" <td>-22143.082608</td>\n",
" <td>-22136.333100</td>\n",
" <td>-22129.583663</td>\n",
" <td>-22122.834297</td>\n",
" <td>-22116.084647</td>\n",
" <td>-22109.335152</td>\n",
" <td>-22102.585583</td>\n",
" <td>-22095.836030</td>\n",
" <td>-22089.086497</td>\n",
" <td>...</td>\n",
" <td>-21897.371617</td>\n",
" <td>-21897.407684</td>\n",
" <td>-21897.436902</td>\n",
" <td>-21897.459874</td>\n",
" <td>-21897.477135</td>\n",
" <td>-21897.489190</td>\n",
" <td>-21897.496507</td>\n",
" <td>-21897.499444</td>\n",
" <td>-21897.498423</td>\n",
" <td>-21897.493737</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49870.0</th>\n",
" <td>-22320.465327</td>\n",
" <td>-22313.153760</td>\n",
" <td>-22305.842360</td>\n",
" <td>-22298.530888</td>\n",
" <td>-22291.219156</td>\n",
" <td>-22283.907733</td>\n",
" <td>-22276.596273</td>\n",
" <td>-22269.284718</td>\n",
" <td>-22261.973198</td>\n",
" <td>-22254.661795</td>\n",
" <td>...</td>\n",
" <td>-22047.347672</td>\n",
" <td>-22047.392619</td>\n",
" <td>-22047.429631</td>\n",
" <td>-22047.459374</td>\n",
" <td>-22047.482485</td>\n",
" <td>-22047.499510</td>\n",
" <td>-22047.510970</td>\n",
" <td>-22047.517318</td>\n",
" <td>-22047.518974</td>\n",
" <td>-22047.516324</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49880.0</th>\n",
" <td>-22099.030824</td>\n",
" <td>-22091.216498</td>\n",
" <td>-22083.402052</td>\n",
" <td>-22075.587465</td>\n",
" <td>-22067.772854</td>\n",
" <td>-22059.958408</td>\n",
" <td>-22052.144084</td>\n",
" <td>-22044.329422</td>\n",
" <td>-22036.514954</td>\n",
" <td>-22028.700416</td>\n",
" <td>...</td>\n",
" <td>-21804.282171</td>\n",
" <td>-21804.325244</td>\n",
" <td>-21804.360813</td>\n",
" <td>-21804.389512</td>\n",
" <td>-21804.411937</td>\n",
" <td>-21804.428608</td>\n",
" <td>-21804.439999</td>\n",
" <td>-21804.446560</td>\n",
" <td>-21804.448666</td>\n",
" <td>-21804.446676</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49890.0</th>\n",
" <td>-22045.324041</td>\n",
" <td>-22037.975639</td>\n",
" <td>-22030.627142</td>\n",
" <td>-22023.278810</td>\n",
" <td>-22015.930219</td>\n",
" <td>-22008.581840</td>\n",
" <td>-22001.233176</td>\n",
" <td>-21993.884869</td>\n",
" <td>-21986.536254</td>\n",
" <td>-21979.187815</td>\n",
" <td>...</td>\n",
" <td>-21769.525513</td>\n",
" <td>-21769.565343</td>\n",
" <td>-21769.597879</td>\n",
" <td>-21769.623784</td>\n",
" <td>-21769.643629</td>\n",
" <td>-21769.657933</td>\n",
" <td>-21769.667144</td>\n",
" <td>-21769.671714</td>\n",
" <td>-21769.672021</td>\n",
" <td>-21769.668420</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49900.0</th>\n",
" <td>-22178.916163</td>\n",
" <td>-22171.972384</td>\n",
" <td>-22165.028771</td>\n",
" <td>-22158.085134</td>\n",
" <td>-22151.140999</td>\n",
" <td>-22144.197291</td>\n",
" <td>-22137.253762</td>\n",
" <td>-22130.309981</td>\n",
" <td>-22123.366250</td>\n",
" <td>-22116.422457</td>\n",
" <td>...</td>\n",
" <td>-21915.096206</td>\n",
" <td>-21915.128365</td>\n",
" <td>-21915.154131</td>\n",
" <td>-21915.174069</td>\n",
" <td>-21915.188630</td>\n",
" <td>-21915.198244</td>\n",
" <td>-21915.203338</td>\n",
" <td>-21915.204284</td>\n",
" <td>-21915.201371</td>\n",
" <td>-21915.194930</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49910.0</th>\n",
" <td>-21984.487198</td>\n",
" <td>-21976.323657</td>\n",
" <td>-21968.159997</td>\n",
" <td>-21959.996360</td>\n",
" <td>-21951.832772</td>\n",
" <td>-21943.669066</td>\n",
" <td>-21935.505688</td>\n",
" <td>-21927.342003</td>\n",
" <td>-21919.178249</td>\n",
" <td>-21911.014661</td>\n",
" <td>...</td>\n",
" <td>-21678.266065</td>\n",
" <td>-21678.312808</td>\n",
" <td>-21678.351761</td>\n",
" <td>-21678.383660</td>\n",
" <td>-21678.409069</td>\n",
" <td>-21678.428580</td>\n",
" <td>-21678.442671</td>\n",
" <td>-21678.451812</td>\n",
" <td>-21678.456405</td>\n",
" <td>-21678.456855</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49920.0</th>\n",
" <td>-22320.926885</td>\n",
" <td>-22312.787962</td>\n",
" <td>-22304.649371</td>\n",
" <td>-22296.510305</td>\n",
" <td>-22288.371596</td>\n",
" <td>-22280.232650</td>\n",
" <td>-22272.093889</td>\n",
" <td>-22263.954922</td>\n",
" <td>-22255.816045</td>\n",
" <td>-22247.677230</td>\n",
" <td>...</td>\n",
" <td>-22014.847216</td>\n",
" <td>-22014.897156</td>\n",
" <td>-22014.939023</td>\n",
" <td>-22014.973572</td>\n",
" <td>-22015.001351</td>\n",
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" <tr>\n",
" <th>49930.0</th>\n",
" <td>-22003.856467</td>\n",
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" <th>49940.0</th>\n",
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" <tr>\n",
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" <tr>\n",
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" <tr>\n",
" <th>49970.0</th>\n",
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" <tr>\n",
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" <tr>\n",
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" <tr>\n",
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"</table>\n",
"<p>4001 rows × 81 columns</p>\n",
"</div>"
],
"text/plain": [
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"49820.0 -22049.428580 -22041.277667 -22033.126538 \n",
"49830.0 -22037.918098 -22030.316221 -22022.714185 \n",
"49840.0 -22169.812266 -22163.014557 -22156.216969 \n",
"49850.0 -22228.876901 -22221.677812 -22214.479092 \n",
"49860.0 -22109.335152 -22102.585583 -22095.836030 \n",
"49870.0 -22276.596273 -22269.284718 -22261.973198 \n",
"49880.0 -22052.144084 -22044.329422 -22036.514954 \n",
"49890.0 -22001.233176 -21993.884869 -21986.536254 \n",
"49900.0 -22137.253762 -22130.309981 -22123.366250 \n",
"49910.0 -21935.505688 -21927.342003 -21919.178249 \n",
"49920.0 -22272.093889 -22263.954922 -22255.816045 \n",
"49930.0 -21959.894424 -21952.567319 -21945.240424 \n",
"49940.0 -22029.946336 -22022.304556 -22014.662846 \n",
"49950.0 -22161.364346 -22154.125902 -22146.887457 \n",
"49960.0 -22300.912106 -22293.572582 -22286.232787 \n",
"49970.0 -22064.339111 -22056.075926 -22047.812935 \n",
"49980.0 -21909.705200 -21901.685408 -21893.665632 \n",
"49990.0 -22005.822903 -21997.999566 -21990.176233 \n",
"50000.0 -22358.553113 -22351.004218 -22343.455210 \n",
"\n",
" u (0.2250, 0.0000) ... u (1.0000, 0.7750) \\\n",
"time (ps) ... \n",
"10000.0 -22130.851842 ... -21911.796545 \n",
"10010.0 -22196.701711 ... -21983.424841 \n",
"10020.0 -22188.414976 ... -21973.083253 \n",
"10030.0 -22127.041705 ... -21912.939992 \n",
"10040.0 -22004.843430 ... -21771.672161 \n",
"10050.0 -21944.505403 ... -21737.480369 \n",
"10060.0 -22053.775208 ... -21837.658129 \n",
"10070.0 -22336.871627 ... -22102.839472 \n",
"10080.0 -21959.696496 ... -21758.505385 \n",
"10090.0 -22126.727783 ... -21912.777939 \n",
"10100.0 -21893.879900 ... -21687.568422 \n",
"10110.0 -22259.286822 ... -22048.201532 \n",
"10120.0 -22158.914975 ... -21937.374890 \n",
"10130.0 -21893.584075 ... -21672.202458 \n",
"10140.0 -22086.450632 ... -21869.419934 \n",
"10150.0 -21968.601112 ... -21745.075155 \n",
"10160.0 -22177.761542 ... -21936.407741 \n",
"10170.0 -22120.634506 ... -21908.650641 \n",
"10180.0 -22152.686202 ... -21926.714623 \n",
"10190.0 -21971.950958 ... -21745.662795 \n",
"10200.0 -22046.230985 ... -21838.110727 \n",
"10210.0 -22079.614153 ... -21884.485312 \n",
"10220.0 -22181.957906 ... -21963.782758 \n",
"10230.0 -22035.178869 ... -21795.464818 \n",
"10240.0 -21988.936227 ... -21787.346106 \n",
"10250.0 -22207.488057 ... -21975.177267 \n",
"10260.0 -22219.857046 ... -21988.375845 \n",
"10270.0 -22055.780929 ... -21848.374572 \n",
"10280.0 -22001.531427 ... -21792.266218 \n",
"10290.0 -22035.825915 ... -21813.727894 \n",
"... ... ... ... \n",
"49710.0 -22059.843016 ... -21834.465338 \n",
"49720.0 -22140.222220 ... -21960.578787 \n",
"49730.0 -22043.918451 ... -21833.387748 \n",
"49740.0 -21936.245968 ... -21721.102261 \n",
"49750.0 -21996.333456 ... -21789.188657 \n",
"49760.0 -21997.056148 ... -21763.768556 \n",
"49770.0 -22002.792286 ... -21785.922582 \n",
"49780.0 -22188.015004 ... -21950.292129 \n",
"49790.0 -22213.232528 ... -21991.625823 \n",
"49800.0 -22078.724715 ... -21861.730094 \n",
"49810.0 -22206.472851 ... -21980.113157 \n",
"49820.0 -22024.975420 ... -21792.473731 \n",
"49830.0 -22015.112347 ... -21795.209824 \n",
"49840.0 -22149.419330 ... -21963.162783 \n",
"49850.0 -22207.279822 ... -21994.866566 \n",
"49860.0 -22089.086497 ... -21897.371617 \n",
"49870.0 -22254.661795 ... -22047.347672 \n",
"49880.0 -22028.700416 ... -21804.282171 \n",
"49890.0 -21979.187815 ... -21769.525513 \n",
"49900.0 -22116.422457 ... -21915.096206 \n",
"49910.0 -21911.014661 ... -21678.266065 \n",
"49920.0 -22247.677230 ... -22014.847216 \n",
"49930.0 -21937.913502 ... -21726.345318 \n",
"49940.0 -22007.021148 ... -21793.256383 \n",
"49950.0 -22139.648663 ... -21928.400136 \n",
"49960.0 -22278.893042 ... -22067.943376 \n",
"49970.0 -22039.549537 ... -21806.962575 \n",
"49980.0 -21885.645863 ... -21653.931915 \n",
"49990.0 -21982.353094 ... -21757.278696 \n",
"50000.0 -22335.906028 ... -22116.988105 \n",
"\n",
" u (1.0000, 0.8000) u (1.0000, 0.8250) u (1.0000, 0.8500) \\\n",
"time (ps) \n",
"10000.0 -21911.834527 -21911.865430 -21911.889891 \n",
"10010.0 -21983.460903 -21983.490459 -21983.514114 \n",
"10020.0 -21973.102411 -21973.116498 -21973.125973 \n",
"10030.0 -21912.975367 -21913.004116 -21913.026851 \n",
"10040.0 -21771.715971 -21771.751941 -21771.780759 \n",
"10050.0 -21737.496093 -21737.507011 -21737.513474 \n",
"10060.0 -21837.712171 -21837.757471 -21837.794836 \n",
"10070.0 -22102.860714 -22102.876791 -22102.888112 \n",
"10080.0 -21758.537094 -21758.562313 -21758.581587 \n",
"10090.0 -21912.802047 -21912.820208 -21912.832903 \n",
"10100.0 -21687.608468 -21687.641380 -21687.667809 \n",
"10110.0 -22048.267077 -22048.322891 -22048.369875 \n",
"10120.0 -21937.397222 -21937.414033 -21937.425781 \n",
"10130.0 -21672.251711 -21672.292965 -21672.326920 \n",
"10140.0 -21869.440892 -21869.456283 -21869.466560 \n",
"10150.0 -21745.125072 -21745.166702 -21745.200754 \n",
"10160.0 -21936.462682 -21936.509235 -21936.548095 \n",
"10170.0 -21908.664659 -21908.674064 -21908.679177 \n",
"10180.0 -21926.767997 -21926.812921 -21926.850167 \n",
"10190.0 -21745.717329 -21745.763603 -21745.802319 \n",
"10200.0 -21838.163441 -21838.207628 -21838.244047 \n",
"10210.0 -21884.511430 -21884.531582 -21884.546193 \n",
"10220.0 -21963.835375 -21963.879589 -21963.916148 \n",
"10230.0 -21795.493994 -21795.517366 -21795.535360 \n",
"10240.0 -21787.383332 -21787.413831 -21787.438130 \n",
"10250.0 -21975.200045 -21975.217333 -21975.229504 \n",
"10260.0 -21988.421502 -21988.459368 -21988.490127 \n",
"10270.0 -21848.419822 -21848.457781 -21848.489041 \n",
"10280.0 -21792.293310 -21792.314502 -21792.330250 \n",
"10290.0 -21813.742218 -21813.751716 -21813.756829 \n",
"... ... ... ... \n",
"49710.0 -21834.525885 -21834.577393 -21834.620679 \n",
"49720.0 -21960.617220 -21960.649092 -21960.674950 \n",
"49730.0 -21833.432765 -21833.469634 -21833.499117 \n",
"49740.0 -21721.144387 -21721.178964 -21721.206619 \n",
"49750.0 -21789.231517 -21789.266567 -21789.294435 \n",
"49760.0 -21763.829178 -21763.880708 -21763.923972 \n",
"49770.0 -21785.941290 -21785.955001 -21785.964118 \n",
"49780.0 -21950.349340 -21950.397786 -21950.438233 \n",
"49790.0 -21991.667570 -21991.701692 -21991.728877 \n",
"49800.0 -21861.755452 -21861.774847 -21861.788772 \n",
"49810.0 -21980.152680 -21980.185002 -21980.210694 \n",
"49820.0 -21792.521704 -21792.561630 -21792.594189 \n",
"49830.0 -21795.244323 -21795.272102 -21795.293697 \n",
"49840.0 -21963.206733 -21963.242939 -21963.272092 \n",
"49850.0 -21994.887691 -21994.903318 -21994.913833 \n",
"49860.0 -21897.407684 -21897.436902 -21897.459874 \n",
"49870.0 -22047.392619 -22047.429631 -22047.459374 \n",
"49880.0 -21804.325244 -21804.360813 -21804.389512 \n",
"49890.0 -21769.565343 -21769.597879 -21769.623784 \n",
"49900.0 -21915.128365 -21915.154131 -21915.174069 \n",
"49910.0 -21678.312808 -21678.351761 -21678.383660 \n",
"49920.0 -22014.897156 -22014.939023 -22014.973572 \n",
"49930.0 -21726.382141 -21726.412407 -21726.436702 \n",
"49940.0 -21793.308457 -21793.351837 -21793.387309 \n",
"49950.0 -21928.423248 -21928.440676 -21928.452916 \n",
"49960.0 -22067.972385 -22067.994884 -22068.011458 \n",
"49970.0 -21807.020212 -21807.069039 -21807.109889 \n",
"49980.0 -21653.963907 -21653.989529 -21654.009351 \n",
"49990.0 -21757.322716 -21757.359302 -21757.389044 \n",
"50000.0 -22117.025615 -22117.056494 -22117.081289 \n",
"\n",
" u (1.0000, 0.8750) u (1.0000, 0.9000) u (1.0000, 0.9250) \\\n",
"time (ps) \n",
"10000.0 -21911.908433 -21911.921527 -21911.929674 \n",
"10010.0 -21983.532302 -21983.545513 -21983.554134 \n",
"10020.0 -21973.131156 -21973.132436 -21973.130093 \n",
"10030.0 -21913.044089 -21913.056260 -21913.063791 \n",
"10040.0 -21771.803087 -21771.819452 -21771.830370 \n",
"10050.0 -21737.515915 -21737.514588 -21737.509828 \n",
"10060.0 -21837.824936 -21837.848447 -21837.865902 \n",
"10070.0 -22102.895049 -22102.897963 -22102.897156 \n",
"10080.0 -21758.595465 -21758.604392 -21758.608773 \n",
"10090.0 -21912.840624 -21912.843724 -21912.842633 \n",
"10100.0 -21687.688244 -21687.703235 -21687.713226 \n",
"10110.0 -22048.408804 -22048.440393 -22048.465305 \n",
"10120.0 -21937.432838 -21937.435585 -21937.434374 \n",
"10130.0 -21672.354176 -21672.375301 -21672.390808 \n",
"10140.0 -21869.472221 -21869.473618 -21869.471154 \n",
"10150.0 -21745.227843 -21745.248611 -21745.263575 \n",
"10160.0 -21936.579967 -21936.605376 -21936.624937 \n",
"10170.0 -21908.680384 -21908.677970 -21908.672240 \n",
"10180.0 -21926.880432 -21926.904324 -21926.922415 \n",
"10190.0 -21745.834121 -21745.859576 -21745.879254 \n",
"10200.0 -21838.273339 -21838.296144 -21838.312978 \n",
"10210.0 -21884.555784 -21884.560734 -21884.561398 \n",
"10220.0 -21963.945680 -21963.968815 -21963.986053 \n",
"10230.0 -21795.548481 -21795.557075 -21795.561506 \n",
"10240.0 -21787.456718 -21787.470095 -21787.478670 \n",
"10250.0 -21975.237034 -21975.240255 -21975.239545 \n",
"10260.0 -21988.514329 -21988.532564 -21988.545301 \n",
"10270.0 -21848.514212 -21848.533797 -21848.548288 \n",
"10280.0 -21792.341024 -21792.347204 -21792.349171 \n",
"10290.0 -21813.757919 -21813.755289 -21813.749275 \n",
"... ... ... ... \n",
"49710.0 -21834.656435 -21834.685300 -21834.707916 \n",
"49720.0 -21960.695315 -21960.710613 -21960.721294 \n",
"49730.0 -21833.521801 -21833.538259 -21833.549061 \n",
"49740.0 -21721.227957 -21721.243538 -21721.253839 \n",
"49750.0 -21789.315820 -21789.331211 -21789.341159 \n",
"49760.0 -21763.959634 -21763.988379 -21764.010758 \n",
"49770.0 -21785.969019 -21785.970016 -21785.967432 \n",
"49780.0 -21950.471362 -21950.497837 -21950.518202 \n",
"49790.0 -21991.749739 -21991.764823 -21991.774651 \n",
"49800.0 -21861.797676 -21861.801986 -21861.802033 \n",
"49810.0 -21980.230349 -21980.244440 -21980.253437 \n",
"49820.0 -21792.620001 -21792.639656 -21792.653674 \n",
"49830.0 -21795.309635 -21795.320409 -21795.326423 \n",
"49840.0 -21963.294846 -21963.311778 -21963.323405 \n",
"49850.0 -21994.919707 -21994.921243 -21994.918853 \n",
"49860.0 -21897.477135 -21897.489190 -21897.496507 \n",
"49870.0 -22047.482485 -22047.499510 -22047.510970 \n",
"49880.0 -21804.411937 -21804.428608 -21804.439999 \n",
"49890.0 -21769.643629 -21769.657933 -21769.667144 \n",
"49900.0 -21915.188630 -21915.198244 -21915.203338 \n",
"49910.0 -21678.409069 -21678.428580 -21678.442671 \n",
"49920.0 -22015.001351 -22015.022969 -22015.038954 \n",
"49930.0 -21726.455526 -21726.469330 -21726.478545 \n",
"49940.0 -21793.415562 -21793.437207 -21793.452788 \n",
"49950.0 -21928.460400 -21928.463504 -21928.462627 \n",
"49960.0 -22068.022612 -22068.028816 -22068.030519 \n",
"49970.0 -21807.143422 -21807.170227 -21807.190945 \n",
"49980.0 -21654.023892 -21654.033576 -21654.038833 \n",
"49990.0 -21757.412536 -21757.430298 -21757.442798 \n",
"50000.0 -22117.100490 -22117.114605 -22117.124005 \n",
"\n",
" u (1.0000, 0.9500) u (1.0000, 0.9750) u (1.0000, 1.0000) \n",
"time (ps) \n",
"10000.0 -21911.933248 -21911.932635 -21911.928181 \n",
"10010.0 -21983.558561 -21983.559154 -21983.556171 \n",
"10020.0 -21973.124409 -21973.115695 -21973.104137 \n",
"10030.0 -21913.067104 -21913.066537 -21913.062394 \n",
"10040.0 -21771.836314 -21771.837664 -21771.834843 \n",
"10050.0 -21737.501944 -21737.491119 -21737.477645 \n",
"10060.0 -21837.877836 -21837.884726 -21837.887000 \n",
"10070.0 -22102.892943 -22102.885579 -22102.875301 \n",
"10080.0 -21758.609033 -21758.605483 -21758.598449 \n",
"10090.0 -21912.837687 -21912.829159 -21912.817392 \n",
"10100.0 -21687.718626 -21687.719810 -21687.717136 \n",
"10110.0 -22048.484129 -22048.497344 -22048.505487 \n",
"10120.0 -21937.429521 -21937.421280 -21937.409963 \n",
"10130.0 -21672.401206 -21672.406866 -21672.408189 \n",
"10140.0 -21869.465164 -21869.455953 -21869.443755 \n",
"10150.0 -21745.273212 -21745.277973 -21745.278283 \n",
"10160.0 -21936.639075 -21936.648262 -21936.652926 \n",
"10170.0 -21908.663429 -21908.651801 -21908.637571 \n",
"10180.0 -21926.935226 -21926.943207 -21926.946761 \n",
"10190.0 -21745.893629 -21745.903099 -21745.908120 \n",
"10200.0 -21838.324369 -21838.330763 -21838.332610 \n",
"10210.0 -21884.558154 -21884.551287 -21884.541103 \n",
"10220.0 -21963.997941 -21964.004878 -21964.007318 \n",
"10230.0 -21795.562146 -21795.559255 -21795.553145 \n",
"10240.0 -21787.482813 -21787.482883 -21787.479213 \n",
"10250.0 -21975.235188 -21975.227490 -21975.216693 \n",
"10260.0 -21988.553022 -21988.556098 -21988.554938 \n",
"10270.0 -21848.558069 -21848.563563 -21848.565099 \n",
"10280.0 -21792.347278 -21792.341831 -21792.333093 \n",
"10290.0 -21813.740111 -21813.728107 -21813.713450 \n",
"... ... ... ... \n",
"49710.0 -21834.724777 -21834.736354 -21834.743128 \n",
"49720.0 -21960.727688 -21960.730198 -21960.729084 \n",
"49730.0 -21833.554647 -21833.555478 -21833.551924 \n",
"49740.0 -21721.259286 -21721.260280 -21721.257226 \n",
"49750.0 -21789.346129 -21789.346509 -21789.342695 \n",
"49760.0 -21764.027359 -21764.038607 -21764.044977 \n",
"49770.0 -21785.961562 -21785.952634 -21785.940910 \n",
"49780.0 -21950.533003 -21950.542687 -21950.547684 \n",
"49790.0 -21991.779648 -21991.780265 -21991.776854 \n",
"49800.0 -21861.798196 -21861.790785 -21861.780081 \n",
"49810.0 -21980.257771 -21980.257818 -21980.253934 \n",
"49820.0 -21792.662531 -21792.666651 -21792.666415 \n",
"49830.0 -21795.328056 -21795.325713 -21795.319652 \n",
"49840.0 -21963.330202 -21963.332616 -21963.330982 \n",
"49850.0 -21994.912766 -21994.903342 -21994.890791 \n",
"49860.0 -21897.499444 -21897.498423 -21897.493737 \n",
"49870.0 -22047.517318 -22047.518974 -22047.516324 \n",
"49880.0 -21804.446560 -21804.448666 -21804.446676 \n",
"49890.0 -21769.671714 -21769.672021 -21769.668420 \n",
"49900.0 -21915.204284 -21915.201371 -21915.194930 \n",
"49910.0 -21678.451812 -21678.456405 -21678.456855 \n",
"49920.0 -22015.049728 -22015.055765 -22015.057425 \n",
"49930.0 -21726.483515 -21726.484605 -21726.482141 \n",
"49940.0 -21793.462852 -21793.467845 -21793.468179 \n",
"49950.0 -21928.458057 -21928.450100 -21928.439066 \n",
"49960.0 -22068.028083 -22068.021852 -22068.012168 \n",
"49970.0 -21807.206053 -21807.216000 -21807.221257 \n",
"49980.0 -21654.040016 -21654.037506 -21654.031586 \n",
"49990.0 -21757.450449 -21757.453693 -21757.452816 \n",
"50000.0 -22117.129099 -22117.130209 -22117.127676 \n",
"\n",
"[4001 rows x 81 columns]"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"slicing(u_nk, lower=10000, step=100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we decided to cut off the first 10ns of data, as well as to subsample the remaining data to every 10ps. This function looks so simple as to be practically unnecessary, but it allows us to chain operations:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>u (0.0000, 0.0000)</th>\n",
" <th>u (0.0250, 0.0000)</th>\n",
" <th>u (0.0500, 0.0000)</th>\n",
" <th>u (0.0750, 0.0000)</th>\n",
" <th>u (0.1000, 0.0000)</th>\n",
" <th>u (0.1250, 0.0000)</th>\n",
" <th>u (0.1500, 0.0000)</th>\n",
" <th>u (0.1750, 0.0000)</th>\n",
" <th>u (0.2000, 0.0000)</th>\n",
" <th>u (0.2250, 0.0000)</th>\n",
" <th>...</th>\n",
" <th>u (1.0000, 0.7750)</th>\n",
" <th>u (1.0000, 0.8000)</th>\n",
" <th>u (1.0000, 0.8250)</th>\n",
" <th>u (1.0000, 0.8500)</th>\n",
" <th>u (1.0000, 0.8750)</th>\n",
" <th>u (1.0000, 0.9000)</th>\n",
" <th>u (1.0000, 0.9250)</th>\n",
" <th>u (1.0000, 0.9500)</th>\n",
" <th>u (1.0000, 0.9750)</th>\n",
" <th>u (1.0000, 1.0000)</th>\n",
" </tr>\n",
" <tr>\n",
" <th>time (ps)</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>10000.0</th>\n",
" <td>-22199.391617</td>\n",
" <td>-22191.776113</td>\n",
" <td>-22184.160538</td>\n",
" <td>-22176.545056</td>\n",
" <td>-22168.929507</td>\n",
" <td>-22161.313930</td>\n",
" <td>-22153.698400</td>\n",
" <td>-22146.082851</td>\n",
" <td>-22138.467348</td>\n",
" <td>-22130.851842</td>\n",
" <td>...</td>\n",
" <td>-21911.796545</td>\n",
" <td>-21911.834527</td>\n",
" <td>-21911.865430</td>\n",
" <td>-21911.889891</td>\n",
" <td>-21911.908433</td>\n",
" <td>-21911.921527</td>\n",
" <td>-21911.929674</td>\n",
" <td>-21911.933248</td>\n",
" <td>-21911.932635</td>\n",
" <td>-21911.928181</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10001.0</th>\n",
" <td>-22313.936887</td>\n",
" <td>-22306.201634</td>\n",
" <td>-22298.466287</td>\n",
" <td>-22290.731225</td>\n",
" <td>-22282.995781</td>\n",
" <td>-22275.260389</td>\n",
" <td>-22267.525420</td>\n",
" <td>-22259.789940</td>\n",
" <td>-22252.054662</td>\n",
" <td>-22244.319450</td>\n",
" <td>...</td>\n",
" <td>-22018.702624</td>\n",
" <td>-22018.731823</td>\n",
" <td>-22018.754628</td>\n",
" <td>-22018.771559</td>\n",
" <td>-22018.783090</td>\n",
" <td>-22018.789697</td>\n",
" <td>-22018.791757</td>\n",
" <td>-22018.789651</td>\n",
" <td>-22018.783707</td>\n",
" <td>-22018.774233</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10002.0</th>\n",
" <td>-22161.293127</td>\n",
" <td>-22153.778513</td>\n",
" <td>-22146.263851</td>\n",
" <td>-22138.749213</td>\n",
" <td>-22131.234458</td>\n",
" <td>-22123.719842</td>\n",
" <td>-22116.205229</td>\n",
" <td>-22108.690662</td>\n",
" <td>-22101.176037</td>\n",
" <td>-22093.661230</td>\n",
" <td>...</td>\n",
" <td>-21879.747498</td>\n",
" <td>-21879.787518</td>\n",
" <td>-21879.820081</td>\n",
" <td>-21879.845819</td>\n",
" <td>-21879.865357</td>\n",
" <td>-21879.879185</td>\n",
" <td>-21879.887805</td>\n",
" <td>-21879.891666</td>\n",
" <td>-21879.891142</td>\n",
" <td>-21879.886595</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10003.0</th>\n",
" <td>-22361.411769</td>\n",
" <td>-22353.785553</td>\n",
" <td>-22346.159433</td>\n",
" <td>-22338.533193</td>\n",
" <td>-22330.906907</td>\n",
" <td>-22323.280689</td>\n",
" <td>-22315.654405</td>\n",
" <td>-22308.028020</td>\n",
" <td>-22300.401763</td>\n",
" <td>-22292.775649</td>\n",
" <td>...</td>\n",
" <td>-22071.832157</td>\n",
" <td>-22071.865170</td>\n",
" <td>-22071.891358</td>\n",
" <td>-22071.911319</td>\n",
" <td>-22071.925527</td>\n",
" <td>-22071.934505</td>\n",
" <td>-22071.938648</td>\n",
" <td>-22071.938389</td>\n",
" <td>-22071.934032</td>\n",
" <td>-22071.925954</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10004.0</th>\n",
" <td>-22105.421904</td>\n",
" <td>-22097.989474</td>\n",
" <td>-22090.556926</td>\n",
" <td>-22083.124330</td>\n",
" <td>-22075.691664</td>\n",
" <td>-22068.259472</td>\n",
" <td>-22060.826900</td>\n",
" <td>-22053.394305</td>\n",
" <td>-22045.961802</td>\n",
" <td>-22038.529281</td>\n",
" <td>...</td>\n",
" <td>-21822.480571</td>\n",
" <td>-21822.512207</td>\n",
" <td>-21822.537495</td>\n",
" <td>-21822.556936</td>\n",
" <td>-21822.571028</td>\n",
" <td>-21822.580215</td>\n",
" <td>-21822.584906</td>\n",
" <td>-21822.585472</td>\n",
" <td>-21822.582229</td>\n",
" <td>-21822.575505</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10005.0</th>\n",
" <td>-22129.406124</td>\n",
" <td>-22122.137184</td>\n",
" <td>-22114.868836</td>\n",
" <td>-22107.600321</td>\n",
" <td>-22100.331643</td>\n",
" <td>-22093.063460</td>\n",
" <td>-22085.794837</td>\n",
" <td>-22078.526336</td>\n",
" <td>-22071.257776</td>\n",
" <td>-22063.989093</td>\n",
" <td>...</td>\n",
" <td>-21850.346153</td>\n",
" <td>-21850.367844</td>\n",
" <td>-21850.384233</td>\n",
" <td>-21850.395786</td>\n",
" <td>-21850.402914</td>\n",
" <td>-21850.405971</td>\n",
" <td>-21850.405284</td>\n",
" <td>-21850.401164</td>\n",
" <td>-21850.393893</td>\n",
" <td>-21850.383709</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10006.0</th>\n",
" <td>-22296.062864</td>\n",
" <td>-22289.100397</td>\n",
" <td>-22282.137813</td>\n",
" <td>-22275.175358</td>\n",
" <td>-22268.212856</td>\n",
" <td>-22261.250413</td>\n",
" <td>-22254.287935</td>\n",
" <td>-22247.325410</td>\n",
" <td>-22240.362824</td>\n",
" <td>-22233.400327</td>\n",
" <td>...</td>\n",
" <td>-22033.060274</td>\n",
" <td>-22033.089260</td>\n",
" <td>-22033.111995</td>\n",
" <td>-22033.128996</td>\n",
" <td>-22033.140787</td>\n",
" <td>-22033.147821</td>\n",
" <td>-22033.150451</td>\n",
" <td>-22033.149101</td>\n",
" <td>-22033.144081</td>\n",
" <td>-22033.135673</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10007.0</th>\n",
" <td>-22155.090089</td>\n",
" <td>-22147.095331</td>\n",
" <td>-22139.100787</td>\n",
" <td>-22131.106031</td>\n",
" <td>-22123.111390</td>\n",
" <td>-22115.116708</td>\n",
" <td>-22107.122161</td>\n",
" <td>-22099.127448</td>\n",
" <td>-22091.132808</td>\n",
" <td>-22083.138130</td>\n",
" <td>...</td>\n",
" <td>-21853.656130</td>\n",
" <td>-21853.698117</td>\n",
" <td>-21853.732453</td>\n",
" <td>-21853.759824</td>\n",
" <td>-21853.780806</td>\n",
" <td>-21853.795937</td>\n",
" <td>-21853.805695</td>\n",
" <td>-21853.810502</td>\n",
" <td>-21853.810808</td>\n",
" <td>-21853.806971</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10008.0</th>\n",
" <td>-22184.675641</td>\n",
" <td>-22177.076688</td>\n",
" <td>-22169.477853</td>\n",
" <td>-22161.878641</td>\n",
" <td>-22154.279900</td>\n",
" <td>-22146.680571</td>\n",
" <td>-22139.081689</td>\n",
" <td>-22131.482688</td>\n",
" <td>-22123.883593</td>\n",
" <td>-22116.284711</td>\n",
" <td>...</td>\n",
" <td>-21890.603221</td>\n",
" <td>-21890.621763</td>\n",
" <td>-21890.635144</td>\n",
" <td>-21890.643761</td>\n",
" <td>-21890.648001</td>\n",
" <td>-21890.648215</td>\n",
" <td>-21890.644707</td>\n",
" <td>-21890.637770</td>\n",
" <td>-21890.627660</td>\n",
" <td>-21890.614636</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10009.0</th>\n",
" <td>-22238.269535</td>\n",
" <td>-22231.416038</td>\n",
" <td>-22224.562399</td>\n",
" <td>-22217.709114</td>\n",
" <td>-22210.855452</td>\n",
" <td>-22204.001917</td>\n",
" <td>-22197.148575</td>\n",
" <td>-22190.294936</td>\n",
" <td>-22183.441417</td>\n",
" <td>-22176.587848</td>\n",
" <td>...</td>\n",
" <td>-21981.677421</td>\n",
" <td>-21981.711047</td>\n",
" <td>-21981.737972</td>\n",
" <td>-21981.758713</td>\n",
" <td>-21981.773868</td>\n",
" <td>-21981.783862</td>\n",
" <td>-21981.789166</td>\n",
" <td>-21981.790186</td>\n",
" <td>-21981.787226</td>\n",
" <td>-21981.780665</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10010.0</th>\n",
" <td>-22263.121996</td>\n",
" <td>-22255.741921</td>\n",
" <td>-22248.361893</td>\n",
" <td>-22240.981818</td>\n",
" <td>-22233.602003</td>\n",
" <td>-22226.221905</td>\n",
" <td>-22218.841820</td>\n",
" <td>-22211.461884</td>\n",
" <td>-22204.081786</td>\n",
" <td>-22196.701711</td>\n",
" <td>...</td>\n",
" <td>-21983.424841</td>\n",
" <td>-21983.460903</td>\n",
" <td>-21983.490459</td>\n",
" <td>-21983.514114</td>\n",
" <td>-21983.532302</td>\n",
" <td>-21983.545513</td>\n",
" <td>-21983.554134</td>\n",
" <td>-21983.558561</td>\n",
" <td>-21983.559154</td>\n",
" <td>-21983.556171</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10011.0</th>\n",
" <td>-22210.770028</td>\n",
" <td>-22202.652962</td>\n",
" <td>-22194.535943</td>\n",
" <td>-22186.418830</td>\n",
" <td>-22178.301834</td>\n",
" <td>-22170.184863</td>\n",
" <td>-22162.067631</td>\n",
" <td>-22153.950526</td>\n",
" <td>-22145.833511</td>\n",
" <td>-22137.716136</td>\n",
" <td>...</td>\n",
" <td>-21906.485124</td>\n",
" <td>-21906.534048</td>\n",
" <td>-21906.575014</td>\n",
" <td>-21906.608710</td>\n",
" <td>-21906.635752</td>\n",
" <td>-21906.656733</td>\n",
" <td>-21906.672147</td>\n",
" <td>-21906.682448</td>\n",
" <td>-21906.688109</td>\n",
" <td>-21906.689482</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10012.0</th>\n",
" <td>-22021.599761</td>\n",
" <td>-22013.787739</td>\n",
" <td>-22005.975432</td>\n",
" <td>-21998.163434</td>\n",
" <td>-21990.351008</td>\n",
" <td>-21982.538882</td>\n",
" <td>-21974.726785</td>\n",
" <td>-21966.914505</td>\n",
" <td>-21959.102396</td>\n",
" <td>-21951.290191</td>\n",
" <td>...</td>\n",
" <td>-21724.010037</td>\n",
" <td>-21724.035352</td>\n",
" <td>-21724.054766</td>\n",
" <td>-21724.068811</td>\n",
" <td>-21724.077952</td>\n",
" <td>-21724.082592</td>\n",
" <td>-21724.083112</td>\n",
" <td>-21724.079892</td>\n",
" <td>-21724.073215</td>\n",
" <td>-21724.063364</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10013.0</th>\n",
" <td>-21977.267696</td>\n",
" <td>-21970.113575</td>\n",
" <td>-21962.959550</td>\n",
" <td>-21955.805359</td>\n",
" <td>-21948.651357</td>\n",
" <td>-21941.497046</td>\n",
" <td>-21934.343070</td>\n",
" <td>-21927.188831</td>\n",
" <td>-21920.034663</td>\n",
" <td>-21912.880568</td>\n",
" <td>...</td>\n",
" <td>-21704.207491</td>\n",
" <td>-21704.236096</td>\n",
" <td>-21704.258851</td>\n",
" <td>-21704.276306</td>\n",
" <td>-21704.288857</td>\n",
" <td>-21704.296908</td>\n",
" <td>-21704.300838</td>\n",
" <td>-21704.301005</td>\n",
" <td>-21704.297664</td>\n",
" <td>-21704.291127</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10014.0</th>\n",
" <td>-22266.168469</td>\n",
" <td>-22258.655356</td>\n",
" <td>-22251.141793</td>\n",
" <td>-22243.628609</td>\n",
" <td>-22236.115401</td>\n",
" <td>-22228.602265</td>\n",
" <td>-22221.089104</td>\n",
" <td>-22213.575791</td>\n",
" <td>-22206.062582</td>\n",
" <td>-22198.549233</td>\n",
" <td>...</td>\n",
" <td>-21982.545265</td>\n",
" <td>-21982.584668</td>\n",
" <td>-21982.617017</td>\n",
" <td>-21982.642922</td>\n",
" <td>-21982.662930</td>\n",
" <td>-21982.677541</td>\n",
" <td>-21982.687206</td>\n",
" <td>-21982.692343</td>\n",
" <td>-21982.693313</td>\n",
" <td>-21982.690449</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10015.0</th>\n",
" <td>-22076.489710</td>\n",
" <td>-22069.537927</td>\n",
" <td>-22062.586191</td>\n",
" <td>-22055.634196</td>\n",
" <td>-22048.682400</td>\n",
" <td>-22041.730593</td>\n",
" <td>-22034.778789</td>\n",
" <td>-22027.826957</td>\n",
" <td>-22020.875113</td>\n",
" <td>-22013.923344</td>\n",
" <td>...</td>\n",
" <td>-21811.643054</td>\n",
" <td>-21811.668346</td>\n",
" <td>-21811.687904</td>\n",
" <td>-21811.702208</td>\n",
" <td>-21811.711725</td>\n",
" <td>-21811.716819</td>\n",
" <td>-21811.717906</td>\n",
" <td>-21811.715256</td>\n",
" <td>-21811.709215</td>\n",
" <td>-21811.700051</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10016.0</th>\n",
" <td>-22361.759968</td>\n",
" <td>-22354.956057</td>\n",
" <td>-22348.152099</td>\n",
" <td>-22341.348141</td>\n",
" <td>-22334.544324</td>\n",
" <td>-22327.740390</td>\n",
" <td>-22320.936361</td>\n",
" <td>-22314.132499</td>\n",
" <td>-22307.328730</td>\n",
" <td>-22300.524752</td>\n",
" <td>...</td>\n",
" <td>-22101.641713</td>\n",
" <td>-22101.667099</td>\n",
" <td>-22101.686777</td>\n",
" <td>-22101.701175</td>\n",
" <td>-22101.710742</td>\n",
" <td>-22101.715859</td>\n",
" <td>-22101.716876</td>\n",
" <td>-22101.714129</td>\n",
" <td>-22101.707902</td>\n",
" <td>-22101.698478</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10017.0</th>\n",
" <td>-22247.066236</td>\n",
" <td>-22238.648494</td>\n",
" <td>-22230.230775</td>\n",
" <td>-22221.813244</td>\n",
" <td>-22213.395550</td>\n",
" <td>-22204.977947</td>\n",
" <td>-22196.560275</td>\n",
" <td>-22188.142633</td>\n",
" <td>-22179.724922</td>\n",
" <td>-22171.307272</td>\n",
" <td>...</td>\n",
" <td>-21931.930120</td>\n",
" <td>-21931.980937</td>\n",
" <td>-21932.023351</td>\n",
" <td>-21932.058090</td>\n",
" <td>-21932.085819</td>\n",
" <td>-21932.107154</td>\n",
" <td>-21932.122642</td>\n",
" <td>-21932.132752</td>\n",
" <td>-21932.137963</td>\n",
" <td>-21932.138673</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10018.0</th>\n",
" <td>-22184.830246</td>\n",
" <td>-22177.740329</td>\n",
" <td>-22170.650151</td>\n",
" <td>-22163.560091</td>\n",
" <td>-22156.469913</td>\n",
" <td>-22149.379938</td>\n",
" <td>-22142.289725</td>\n",
" <td>-22135.199596</td>\n",
" <td>-22128.109497</td>\n",
" <td>-22121.019523</td>\n",
" <td>...</td>\n",
" <td>-21912.310873</td>\n",
" <td>-21912.330431</td>\n",
" <td>-21912.344875</td>\n",
" <td>-21912.354632</td>\n",
" <td>-21912.360126</td>\n",
" <td>-21912.361666</td>\n",
" <td>-21912.359583</td>\n",
" <td>-21912.354182</td>\n",
" <td>-21912.345705</td>\n",
" <td>-21912.334434</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10019.0</th>\n",
" <td>-22070.116241</td>\n",
" <td>-22062.078138</td>\n",
" <td>-22054.040272</td>\n",
" <td>-22046.001862</td>\n",
" <td>-22037.963736</td>\n",
" <td>-22029.925634</td>\n",
" <td>-22021.887437</td>\n",
" <td>-22013.849336</td>\n",
" <td>-22005.811278</td>\n",
" <td>-21997.773305</td>\n",
" <td>...</td>\n",
" <td>-21768.802813</td>\n",
" <td>-21768.851856</td>\n",
" <td>-21768.892916</td>\n",
" <td>-21768.926685</td>\n",
" <td>-21768.953797</td>\n",
" <td>-21768.974825</td>\n",
" <td>-21768.990290</td>\n",
" <td>-21769.000637</td>\n",
" <td>-21769.006321</td>\n",
" <td>-21769.007741</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10020.0</th>\n",
" <td>-22253.919162</td>\n",
" <td>-22246.640850</td>\n",
" <td>-22239.362966</td>\n",
" <td>-22232.084228</td>\n",
" <td>-22224.806485</td>\n",
" <td>-22217.527889</td>\n",
" <td>-22210.249900</td>\n",
" <td>-22202.971272</td>\n",
" <td>-22195.693087</td>\n",
" <td>-22188.414976</td>\n",
" <td>...</td>\n",
" <td>-21973.083253</td>\n",
" <td>-21973.102411</td>\n",
" <td>-21973.116498</td>\n",
" <td>-21973.125973</td>\n",
" <td>-21973.131156</td>\n",
" <td>-21973.132436</td>\n",
" <td>-21973.130093</td>\n",
" <td>-21973.124409</td>\n",
" <td>-21973.115695</td>\n",
" <td>-21973.104137</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10021.0</th>\n",
" <td>-22198.211979</td>\n",
" <td>-22190.918633</td>\n",
" <td>-22183.625335</td>\n",
" <td>-22176.332013</td>\n",
" <td>-22169.038716</td>\n",
" <td>-22161.745535</td>\n",
" <td>-22154.452286</td>\n",
" <td>-22147.159036</td>\n",
" <td>-22139.865763</td>\n",
" <td>-22132.572520</td>\n",
" <td>...</td>\n",
" <td>-21920.584799</td>\n",
" <td>-21920.614518</td>\n",
" <td>-21920.638127</td>\n",
" <td>-21920.656125</td>\n",
" <td>-21920.668982</td>\n",
" <td>-21920.677149</td>\n",
" <td>-21920.681010</td>\n",
" <td>-21920.680893</td>\n",
" <td>-21920.677149</td>\n",
" <td>-21920.670045</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10022.0</th>\n",
" <td>-22066.344295</td>\n",
" <td>-22058.487870</td>\n",
" <td>-22050.631351</td>\n",
" <td>-22042.774807</td>\n",
" <td>-22034.918359</td>\n",
" <td>-22027.061912</td>\n",
" <td>-22019.205365</td>\n",
" <td>-22011.348798</td>\n",
" <td>-22003.492114</td>\n",
" <td>-21995.635547</td>\n",
" <td>...</td>\n",
" <td>-21765.724459</td>\n",
" <td>-21765.756688</td>\n",
" <td>-21765.782643</td>\n",
" <td>-21765.802795</td>\n",
" <td>-21765.817642</td>\n",
" <td>-21765.827586</td>\n",
" <td>-21765.833080</td>\n",
" <td>-21765.834430</td>\n",
" <td>-21765.832017</td>\n",
" <td>-21765.826096</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10023.0</th>\n",
" <td>-22143.552563</td>\n",
" <td>-22136.010918</td>\n",
" <td>-22128.469463</td>\n",
" <td>-22120.927748</td>\n",
" <td>-22113.386245</td>\n",
" <td>-22105.844885</td>\n",
" <td>-22098.303027</td>\n",
" <td>-22090.761686</td>\n",
" <td>-22083.220256</td>\n",
" <td>-22075.678411</td>\n",
" <td>...</td>\n",
" <td>-21854.911467</td>\n",
" <td>-21854.940736</td>\n",
" <td>-21854.963991</td>\n",
" <td>-21854.981702</td>\n",
" <td>-21854.994346</td>\n",
" <td>-21855.002304</td>\n",
" <td>-21855.005974</td>\n",
" <td>-21855.005691</td>\n",
" <td>-21855.001760</td>\n",
" <td>-21854.994490</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10024.0</th>\n",
" <td>-22233.628859</td>\n",
" <td>-22226.510933</td>\n",
" <td>-22219.392888</td>\n",
" <td>-22212.275078</td>\n",
" <td>-22205.156987</td>\n",
" <td>-22198.039108</td>\n",
" <td>-22190.921047</td>\n",
" <td>-22183.803076</td>\n",
" <td>-22176.684974</td>\n",
" <td>-22169.567046</td>\n",
" <td>...</td>\n",
" <td>-21961.748706</td>\n",
" <td>-21961.773168</td>\n",
" <td>-21961.791876</td>\n",
" <td>-21961.805351</td>\n",
" <td>-21961.813991</td>\n",
" <td>-21961.818208</td>\n",
" <td>-21961.818375</td>\n",
" <td>-21961.814798</td>\n",
" <td>-21961.807787</td>\n",
" <td>-21961.797630</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10025.0</th>\n",
" <td>-22134.977188</td>\n",
" <td>-22127.096678</td>\n",
" <td>-22119.216097</td>\n",
" <td>-22111.335587</td>\n",
" <td>-22103.454864</td>\n",
" <td>-22095.574353</td>\n",
" <td>-22087.693891</td>\n",
" <td>-22079.813409</td>\n",
" <td>-22071.932873</td>\n",
" <td>-22064.052484</td>\n",
" <td>...</td>\n",
" <td>-21837.302405</td>\n",
" <td>-21837.337804</td>\n",
" <td>-21837.366483</td>\n",
" <td>-21837.388978</td>\n",
" <td>-21837.405863</td>\n",
" <td>-21837.417584</td>\n",
" <td>-21837.424594</td>\n",
" <td>-21837.427295</td>\n",
" <td>-21837.426038</td>\n",
" <td>-21837.421137</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10026.0</th>\n",
" <td>-21994.990113</td>\n",
" <td>-21987.619478</td>\n",
" <td>-21980.248535</td>\n",
" <td>-21972.877827</td>\n",
" <td>-21965.507146</td>\n",
" <td>-21958.136559</td>\n",
" <td>-21950.765921</td>\n",
" <td>-21943.395429</td>\n",
" <td>-21936.024654</td>\n",
" <td>-21928.654014</td>\n",
" <td>...</td>\n",
" <td>-21713.756897</td>\n",
" <td>-21713.781192</td>\n",
" <td>-21713.799594</td>\n",
" <td>-21713.812568</td>\n",
" <td>-21713.820599</td>\n",
" <td>-21713.824102</td>\n",
" <td>-21713.823416</td>\n",
" <td>-21713.818938</td>\n",
" <td>-21713.810934</td>\n",
" <td>-21713.799734</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10027.0</th>\n",
" <td>-22207.274772</td>\n",
" <td>-22200.891580</td>\n",
" <td>-22194.508424</td>\n",
" <td>-22188.125351</td>\n",
" <td>-22181.742052</td>\n",
" <td>-22175.359027</td>\n",
" <td>-22168.975729</td>\n",
" <td>-22162.592646</td>\n",
" <td>-22156.209346</td>\n",
" <td>-22149.826228</td>\n",
" <td>...</td>\n",
" <td>-21961.299361</td>\n",
" <td>-21961.306539</td>\n",
" <td>-21961.309449</td>\n",
" <td>-21961.308479</td>\n",
" <td>-21961.303955</td>\n",
" <td>-21961.296141</td>\n",
" <td>-21961.285321</td>\n",
" <td>-21961.271753</td>\n",
" <td>-21961.255625</td>\n",
" <td>-21961.237181</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10028.0</th>\n",
" <td>-22165.455589</td>\n",
" <td>-22158.188892</td>\n",
" <td>-22150.922503</td>\n",
" <td>-22143.655972</td>\n",
" <td>-22136.389441</td>\n",
" <td>-22129.122910</td>\n",
" <td>-22121.856260</td>\n",
" <td>-22114.589827</td>\n",
" <td>-22107.323114</td>\n",
" <td>-22100.056479</td>\n",
" <td>...</td>\n",
" <td>-21896.037082</td>\n",
" <td>-21896.082001</td>\n",
" <td>-21896.119084</td>\n",
" <td>-21896.148993</td>\n",
" <td>-21896.172365</td>\n",
" <td>-21896.189793</td>\n",
" <td>-21896.201754</td>\n",
" <td>-21896.208737</td>\n",
" <td>-21896.211178</td>\n",
" <td>-21896.209424</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10029.0</th>\n",
" <td>-22147.321675</td>\n",
" <td>-22140.651779</td>\n",
" <td>-22133.982308</td>\n",
" <td>-22127.312410</td>\n",
" <td>-22120.642609</td>\n",
" <td>-22113.972758</td>\n",
" <td>-22107.302964</td>\n",
" <td>-22100.633129</td>\n",
" <td>-22093.963328</td>\n",
" <td>-22087.293453</td>\n",
" <td>...</td>\n",
" <td>-21887.273445</td>\n",
" <td>-21887.281686</td>\n",
" <td>-21887.286349</td>\n",
" <td>-21887.287700</td>\n",
" <td>-21887.286020</td>\n",
" <td>-21887.281542</td>\n",
" <td>-21887.274462</td>\n",
" <td>-21887.264991</td>\n",
" <td>-21887.253341</td>\n",
" <td>-21887.239629</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34971.0</th>\n",
" <td>-21923.241414</td>\n",
" <td>-21915.062884</td>\n",
" <td>-21906.884210</td>\n",
" <td>-21898.705567</td>\n",
" <td>-21890.526974</td>\n",
" <td>-21882.348303</td>\n",
" <td>-21874.169790</td>\n",
" <td>-21865.991126</td>\n",
" <td>-21857.812450</td>\n",
" <td>-21849.633817</td>\n",
" <td>...</td>\n",
" <td>-21613.899451</td>\n",
" <td>-21613.947688</td>\n",
" <td>-21613.988084</td>\n",
" <td>-21614.021310</td>\n",
" <td>-21614.047948</td>\n",
" <td>-21614.068550</td>\n",
" <td>-21614.083634</td>\n",
" <td>-21614.093605</td>\n",
" <td>-21614.098909</td>\n",
" <td>-21614.099925</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34972.0</th>\n",
" <td>-22207.775818</td>\n",
" <td>-22200.247923</td>\n",
" <td>-22192.720218</td>\n",
" <td>-22185.192288</td>\n",
" <td>-22177.664464</td>\n",
" <td>-22170.136765</td>\n",
" <td>-22162.608933</td>\n",
" <td>-22155.081125</td>\n",
" <td>-22147.553270</td>\n",
" <td>-22140.025496</td>\n",
" <td>...</td>\n",
" <td>-21925.158595</td>\n",
" <td>-21925.195984</td>\n",
" <td>-21925.226083</td>\n",
" <td>-21925.249525</td>\n",
" <td>-21925.266859</td>\n",
" <td>-21925.278631</td>\n",
" <td>-21925.285284</td>\n",
" <td>-21925.287294</td>\n",
" <td>-21925.285020</td>\n",
" <td>-21925.278817</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34973.0</th>\n",
" <td>-22258.242748</td>\n",
" <td>-22250.572822</td>\n",
" <td>-22242.902874</td>\n",
" <td>-22235.232914</td>\n",
" <td>-22227.562807</td>\n",
" <td>-22219.892704</td>\n",
" <td>-22212.222884</td>\n",
" <td>-22204.552840</td>\n",
" <td>-22196.882830</td>\n",
" <td>-22189.212829</td>\n",
" <td>...</td>\n",
" <td>-21970.024344</td>\n",
" <td>-21970.066874</td>\n",
" <td>-21970.101989</td>\n",
" <td>-21970.130335</td>\n",
" <td>-21970.152476</td>\n",
" <td>-21970.168934</td>\n",
" <td>-21970.180205</td>\n",
" <td>-21970.186719</td>\n",
" <td>-21970.188872</td>\n",
" <td>-21970.187026</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34974.0</th>\n",
" <td>-22039.618561</td>\n",
" <td>-22032.421246</td>\n",
" <td>-22025.223601</td>\n",
" <td>-22018.026276</td>\n",
" <td>-22010.828789</td>\n",
" <td>-22003.631235</td>\n",
" <td>-21996.433721</td>\n",
" <td>-21989.236270</td>\n",
" <td>-21982.038846</td>\n",
" <td>-21974.841352</td>\n",
" <td>...</td>\n",
" <td>-21772.420231</td>\n",
" <td>-21772.462097</td>\n",
" <td>-21772.496433</td>\n",
" <td>-21772.523925</td>\n",
" <td>-21772.545143</td>\n",
" <td>-21772.560654</td>\n",
" <td>-21772.570932</td>\n",
" <td>-21772.576426</td>\n",
" <td>-21772.577539</td>\n",
" <td>-21772.574649</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34975.0</th>\n",
" <td>-22197.758280</td>\n",
" <td>-22190.143647</td>\n",
" <td>-22182.528920</td>\n",
" <td>-22174.914457</td>\n",
" <td>-22167.299949</td>\n",
" <td>-22159.685281</td>\n",
" <td>-22152.070576</td>\n",
" <td>-22144.455989</td>\n",
" <td>-22136.841298</td>\n",
" <td>-22129.226738</td>\n",
" <td>...</td>\n",
" <td>-21914.366289</td>\n",
" <td>-21914.407988</td>\n",
" <td>-21914.442184</td>\n",
" <td>-21914.469510</td>\n",
" <td>-21914.490608</td>\n",
" <td>-21914.506002</td>\n",
" <td>-21914.516229</td>\n",
" <td>-21914.521723</td>\n",
" <td>-21914.522887</td>\n",
" <td>-21914.520090</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34976.0</th>\n",
" <td>-22344.958920</td>\n",
" <td>-22337.046204</td>\n",
" <td>-22329.133368</td>\n",
" <td>-22321.220651</td>\n",
" <td>-22313.307918</td>\n",
" <td>-22305.395221</td>\n",
" <td>-22297.482510</td>\n",
" <td>-22289.569796</td>\n",
" <td>-22281.656972</td>\n",
" <td>-22273.744265</td>\n",
" <td>...</td>\n",
" <td>-22044.705465</td>\n",
" <td>-22044.748608</td>\n",
" <td>-22044.784414</td>\n",
" <td>-22044.813517</td>\n",
" <td>-22044.836438</td>\n",
" <td>-22044.853726</td>\n",
" <td>-22044.865800</td>\n",
" <td>-22044.873117</td>\n",
" <td>-22044.876031</td>\n",
" <td>-22044.874894</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34977.0</th>\n",
" <td>-22190.085503</td>\n",
" <td>-22182.115783</td>\n",
" <td>-22174.145987</td>\n",
" <td>-22166.176125</td>\n",
" <td>-22158.206278</td>\n",
" <td>-22150.236557</td>\n",
" <td>-22142.266709</td>\n",
" <td>-22134.296799</td>\n",
" <td>-22126.327025</td>\n",
" <td>-22118.357231</td>\n",
" <td>...</td>\n",
" <td>-21887.819046</td>\n",
" <td>-21887.858685</td>\n",
" <td>-21887.891105</td>\n",
" <td>-21887.916893</td>\n",
" <td>-21887.936618</td>\n",
" <td>-21887.950779</td>\n",
" <td>-21887.959800</td>\n",
" <td>-21887.964157</td>\n",
" <td>-21887.964180</td>\n",
" <td>-21887.960226</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34978.0</th>\n",
" <td>-22178.836755</td>\n",
" <td>-22170.843689</td>\n",
" <td>-22162.850399</td>\n",
" <td>-22154.857250</td>\n",
" <td>-22146.864042</td>\n",
" <td>-22138.870893</td>\n",
" <td>-22130.877681</td>\n",
" <td>-22122.884570</td>\n",
" <td>-22114.891347</td>\n",
" <td>-22106.898181</td>\n",
" <td>...</td>\n",
" <td>-21878.641648</td>\n",
" <td>-21878.687375</td>\n",
" <td>-21878.725261</td>\n",
" <td>-21878.756024</td>\n",
" <td>-21878.780222</td>\n",
" <td>-21878.798456</td>\n",
" <td>-21878.811198</td>\n",
" <td>-21878.818918</td>\n",
" <td>-21878.822042</td>\n",
" <td>-21878.820905</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34979.0</th>\n",
" <td>-22265.449797</td>\n",
" <td>-22257.965215</td>\n",
" <td>-22250.480736</td>\n",
" <td>-22242.996167</td>\n",
" <td>-22235.511507</td>\n",
" <td>-22228.026751</td>\n",
" <td>-22220.542336</td>\n",
" <td>-22213.057713</td>\n",
" <td>-22205.573098</td>\n",
" <td>-22198.088405</td>\n",
" <td>...</td>\n",
" <td>-21982.986139</td>\n",
" <td>-21983.020405</td>\n",
" <td>-21983.047780</td>\n",
" <td>-21983.068855</td>\n",
" <td>-21983.084153</td>\n",
" <td>-21983.094166</td>\n",
" <td>-21983.099330</td>\n",
" <td>-21983.100040</td>\n",
" <td>-21983.096677</td>\n",
" <td>-21983.089573</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34980.0</th>\n",
" <td>-22398.760451</td>\n",
" <td>-22391.376193</td>\n",
" <td>-22383.991903</td>\n",
" <td>-22376.607677</td>\n",
" <td>-22369.223438</td>\n",
" <td>-22361.839187</td>\n",
" <td>-22354.454906</td>\n",
" <td>-22347.070718</td>\n",
" <td>-22339.686472</td>\n",
" <td>-22332.302269</td>\n",
" <td>...</td>\n",
" <td>-22121.417458</td>\n",
" <td>-22121.454610</td>\n",
" <td>-22121.484802</td>\n",
" <td>-22121.508624</td>\n",
" <td>-22121.526622</td>\n",
" <td>-22121.539266</td>\n",
" <td>-22121.547034</td>\n",
" <td>-22121.550324</td>\n",
" <td>-22121.549497</td>\n",
" <td>-22121.544904</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34981.0</th>\n",
" <td>-22092.038507</td>\n",
" <td>-22083.914654</td>\n",
" <td>-22075.790846</td>\n",
" <td>-22067.666900</td>\n",
" <td>-22059.543007</td>\n",
" <td>-22051.419132</td>\n",
" <td>-22043.295277</td>\n",
" <td>-22035.171340</td>\n",
" <td>-22027.047447</td>\n",
" <td>-22018.923600</td>\n",
" <td>...</td>\n",
" <td>-21787.963243</td>\n",
" <td>-21788.015313</td>\n",
" <td>-21788.059100</td>\n",
" <td>-21788.095283</td>\n",
" <td>-21788.124552</td>\n",
" <td>-21788.147450</td>\n",
" <td>-21788.164548</td>\n",
" <td>-21788.176315</td>\n",
" <td>-21788.183206</td>\n",
" <td>-21788.185623</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34982.0</th>\n",
" <td>-22191.728412</td>\n",
" <td>-22183.976117</td>\n",
" <td>-22176.223793</td>\n",
" <td>-22168.471473</td>\n",
" <td>-22160.719036</td>\n",
" <td>-22152.966653</td>\n",
" <td>-22145.214391</td>\n",
" <td>-22137.462111</td>\n",
" <td>-22129.709731</td>\n",
" <td>-22121.957297</td>\n",
" <td>...</td>\n",
" <td>-21897.218548</td>\n",
" <td>-21897.260248</td>\n",
" <td>-21897.294824</td>\n",
" <td>-21897.322859</td>\n",
" <td>-21897.344881</td>\n",
" <td>-21897.361412</td>\n",
" <td>-21897.372873</td>\n",
" <td>-21897.379667</td>\n",
" <td>-21897.382177</td>\n",
" <td>-21897.380757</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34983.0</th>\n",
" <td>-22123.563756</td>\n",
" <td>-22115.032878</td>\n",
" <td>-22106.501945</td>\n",
" <td>-22097.971113</td>\n",
" <td>-22089.440202</td>\n",
" <td>-22080.909317</td>\n",
" <td>-22072.378484</td>\n",
" <td>-22063.847736</td>\n",
" <td>-22055.316833</td>\n",
" <td>-22046.785934</td>\n",
" <td>...</td>\n",
" <td>-21811.157225</td>\n",
" <td>-21811.219577</td>\n",
" <td>-21811.272124</td>\n",
" <td>-21811.315791</td>\n",
" <td>-21811.351333</td>\n",
" <td>-21811.379488</td>\n",
" <td>-21811.400943</td>\n",
" <td>-21811.416265</td>\n",
" <td>-21811.425995</td>\n",
" <td>-21811.430616</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34984.0</th>\n",
" <td>-22194.241095</td>\n",
" <td>-22186.002782</td>\n",
" <td>-22177.764271</td>\n",
" <td>-22169.525828</td>\n",
" <td>-22161.287269</td>\n",
" <td>-22153.048921</td>\n",
" <td>-22144.810403</td>\n",
" <td>-22136.571886</td>\n",
" <td>-22128.333431</td>\n",
" <td>-22120.095042</td>\n",
" <td>...</td>\n",
" <td>-21885.824693</td>\n",
" <td>-21885.878851</td>\n",
" <td>-21885.924364</td>\n",
" <td>-21885.961944</td>\n",
" <td>-21885.992303</td>\n",
" <td>-21886.016027</td>\n",
" <td>-21886.033669</td>\n",
" <td>-21886.045769</td>\n",
" <td>-21886.052757</td>\n",
" <td>-21886.055077</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34985.0</th>\n",
" <td>-22250.903614</td>\n",
" <td>-22243.131169</td>\n",
" <td>-22235.358876</td>\n",
" <td>-22227.586431</td>\n",
" <td>-22219.814116</td>\n",
" <td>-22212.041911</td>\n",
" <td>-22204.269519</td>\n",
" <td>-22196.497208</td>\n",
" <td>-22188.724797</td>\n",
" <td>-22180.952494</td>\n",
" <td>...</td>\n",
" <td>-21962.003483</td>\n",
" <td>-21962.058703</td>\n",
" <td>-21962.104996</td>\n",
" <td>-21962.143123</td>\n",
" <td>-21962.173788</td>\n",
" <td>-21962.197610</td>\n",
" <td>-21962.215181</td>\n",
" <td>-21962.227022</td>\n",
" <td>-21962.233630</td>\n",
" <td>-21962.235403</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34986.0</th>\n",
" <td>-22268.561759</td>\n",
" <td>-22261.312342</td>\n",
" <td>-22254.062742</td>\n",
" <td>-22246.813269</td>\n",
" <td>-22239.563765</td>\n",
" <td>-22232.314224</td>\n",
" <td>-22225.064774</td>\n",
" <td>-22217.815207</td>\n",
" <td>-22210.565654</td>\n",
" <td>-22203.316214</td>\n",
" <td>...</td>\n",
" <td>-21997.219193</td>\n",
" <td>-21997.259593</td>\n",
" <td>-21997.292458</td>\n",
" <td>-21997.318460</td>\n",
" <td>-21997.338185</td>\n",
" <td>-21997.352133</td>\n",
" <td>-21997.360847</td>\n",
" <td>-21997.364707</td>\n",
" <td>-21997.364164</td>\n",
" <td>-21997.359543</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34987.0</th>\n",
" <td>-22278.105059</td>\n",
" <td>-22271.125408</td>\n",
" <td>-22264.145842</td>\n",
" <td>-22257.166205</td>\n",
" <td>-22250.186761</td>\n",
" <td>-22243.207094</td>\n",
" <td>-22236.227453</td>\n",
" <td>-22229.247842</td>\n",
" <td>-22222.268367</td>\n",
" <td>-22215.288632</td>\n",
" <td>...</td>\n",
" <td>-22010.072738</td>\n",
" <td>-22010.094763</td>\n",
" <td>-22010.111268</td>\n",
" <td>-22010.122682</td>\n",
" <td>-22010.129429</td>\n",
" <td>-22010.131869</td>\n",
" <td>-22010.130352</td>\n",
" <td>-22010.125215</td>\n",
" <td>-22010.116691</td>\n",
" <td>-22010.105087</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34988.0</th>\n",
" <td>-22255.484040</td>\n",
" <td>-22247.839085</td>\n",
" <td>-22240.194160</td>\n",
" <td>-22232.549192</td>\n",
" <td>-22224.904195</td>\n",
" <td>-22217.259278</td>\n",
" <td>-22209.614248</td>\n",
" <td>-22201.969162</td>\n",
" <td>-22194.324368</td>\n",
" <td>-22186.679278</td>\n",
" <td>...</td>\n",
" <td>-21972.656037</td>\n",
" <td>-21972.710291</td>\n",
" <td>-21972.755898</td>\n",
" <td>-21972.793621</td>\n",
" <td>-21972.824166</td>\n",
" <td>-21972.848155</td>\n",
" <td>-21972.866153</td>\n",
" <td>-21972.878681</td>\n",
" <td>-21972.886184</td>\n",
" <td>-21972.889121</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34989.0</th>\n",
" <td>-22340.738332</td>\n",
" <td>-22332.770958</td>\n",
" <td>-22324.803371</td>\n",
" <td>-22316.836046</td>\n",
" <td>-22308.868503</td>\n",
" <td>-22300.901188</td>\n",
" <td>-22292.933610</td>\n",
" <td>-22284.966206</td>\n",
" <td>-22276.998775</td>\n",
" <td>-22269.031313</td>\n",
" <td>...</td>\n",
" <td>-22039.554388</td>\n",
" <td>-22039.594478</td>\n",
" <td>-22039.627134</td>\n",
" <td>-22039.653015</td>\n",
" <td>-22039.672670</td>\n",
" <td>-22039.686618</td>\n",
" <td>-22039.695355</td>\n",
" <td>-22039.699285</td>\n",
" <td>-22039.698812</td>\n",
" <td>-22039.694315</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34990.0</th>\n",
" <td>-22265.562079</td>\n",
" <td>-22258.453368</td>\n",
" <td>-22251.344762</td>\n",
" <td>-22244.236174</td>\n",
" <td>-22237.127503</td>\n",
" <td>-22230.018880</td>\n",
" <td>-22222.910178</td>\n",
" <td>-22215.801623</td>\n",
" <td>-22208.692964</td>\n",
" <td>-22201.584340</td>\n",
" <td>...</td>\n",
" <td>-22005.516191</td>\n",
" <td>-22005.565638</td>\n",
" <td>-22005.607171</td>\n",
" <td>-22005.641484</td>\n",
" <td>-22005.669212</td>\n",
" <td>-22005.690950</td>\n",
" <td>-22005.707218</td>\n",
" <td>-22005.718516</td>\n",
" <td>-22005.725240</td>\n",
" <td>-22005.727796</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34991.0</th>\n",
" <td>-22184.513477</td>\n",
" <td>-22176.223740</td>\n",
" <td>-22167.934060</td>\n",
" <td>-22159.644340</td>\n",
" <td>-22151.354646</td>\n",
" <td>-22143.064929</td>\n",
" <td>-22134.775148</td>\n",
" <td>-22126.485438</td>\n",
" <td>-22118.195805</td>\n",
" <td>-22109.906052</td>\n",
" <td>...</td>\n",
" <td>-21877.153637</td>\n",
" <td>-21877.205874</td>\n",
" <td>-21877.249754</td>\n",
" <td>-21877.286007</td>\n",
" <td>-21877.315349</td>\n",
" <td>-21877.338364</td>\n",
" <td>-21877.355605</td>\n",
" <td>-21877.367586</td>\n",
" <td>-21877.374760</td>\n",
" <td>-21877.377553</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34992.0</th>\n",
" <td>-22184.061625</td>\n",
" <td>-22176.288269</td>\n",
" <td>-22168.515085</td>\n",
" <td>-22160.741855</td>\n",
" <td>-22152.968533</td>\n",
" <td>-22145.195320</td>\n",
" <td>-22137.422086</td>\n",
" <td>-22129.648825</td>\n",
" <td>-22121.875537</td>\n",
" <td>-22114.102338</td>\n",
" <td>...</td>\n",
" <td>-21893.880868</td>\n",
" <td>-21893.935285</td>\n",
" <td>-21893.981249</td>\n",
" <td>-21894.019519</td>\n",
" <td>-21894.050704</td>\n",
" <td>-21894.075449</td>\n",
" <td>-21894.094251</td>\n",
" <td>-21894.107655</td>\n",
" <td>-21894.116062</td>\n",
" <td>-21894.119896</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34993.0</th>\n",
" <td>-22173.224371</td>\n",
" <td>-22165.440422</td>\n",
" <td>-22157.655998</td>\n",
" <td>-22149.872057</td>\n",
" <td>-22142.087850</td>\n",
" <td>-22134.303772</td>\n",
" <td>-22126.519520</td>\n",
" <td>-22118.735415</td>\n",
" <td>-22110.951407</td>\n",
" <td>-22103.167205</td>\n",
" <td>...</td>\n",
" <td>-21882.266623</td>\n",
" <td>-21882.317014</td>\n",
" <td>-21882.359214</td>\n",
" <td>-21882.393926</td>\n",
" <td>-21882.421821</td>\n",
" <td>-21882.443467</td>\n",
" <td>-21882.459405</td>\n",
" <td>-21882.470082</td>\n",
" <td>-21882.475956</td>\n",
" <td>-21882.477422</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34994.0</th>\n",
" <td>-22306.716588</td>\n",
" <td>-22298.508131</td>\n",
" <td>-22290.299833</td>\n",
" <td>-22282.091569</td>\n",
" <td>-22273.883296</td>\n",
" <td>-22265.675002</td>\n",
" <td>-22257.466692</td>\n",
" <td>-22249.258364</td>\n",
" <td>-22241.050077</td>\n",
" <td>-22232.841849</td>\n",
" <td>...</td>\n",
" <td>-21995.902739</td>\n",
" <td>-21995.951495</td>\n",
" <td>-21995.992532</td>\n",
" <td>-21996.026491</td>\n",
" <td>-21996.053960</td>\n",
" <td>-21996.075508</td>\n",
" <td>-21996.091562</td>\n",
" <td>-21996.102623</td>\n",
" <td>-21996.109041</td>\n",
" <td>-21996.111240</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34995.0</th>\n",
" <td>-22114.810699</td>\n",
" <td>-22106.993961</td>\n",
" <td>-22099.177343</td>\n",
" <td>-22091.360728</td>\n",
" <td>-22083.544091</td>\n",
" <td>-22075.727411</td>\n",
" <td>-22067.910809</td>\n",
" <td>-22060.094071</td>\n",
" <td>-22052.277419</td>\n",
" <td>-22044.460790</td>\n",
" <td>...</td>\n",
" <td>-21822.229251</td>\n",
" <td>-21822.266121</td>\n",
" <td>-21822.295863</td>\n",
" <td>-21822.319118</td>\n",
" <td>-21822.336453</td>\n",
" <td>-21822.348410</td>\n",
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" <td>-21822.358024</td>\n",
" <td>-21822.356507</td>\n",
" <td>-21822.351250</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34996.0</th>\n",
" <td>-22197.722640</td>\n",
" <td>-22190.242665</td>\n",
" <td>-22182.762750</td>\n",
" <td>-22175.282895</td>\n",
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" <td>-22160.323034</td>\n",
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" <td>-22145.363211</td>\n",
" <td>-22137.883396</td>\n",
" <td>-22130.403262</td>\n",
" <td>...</td>\n",
" <td>-21915.100373</td>\n",
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" <td>-21915.174135</td>\n",
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" <td>-21915.198717</td>\n",
" <td>-21915.198053</td>\n",
" <td>-21915.193576</td>\n",
" <td>-21915.185619</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34997.0</th>\n",
" <td>-22251.447297</td>\n",
" <td>-22244.033847</td>\n",
" <td>-22236.620197</td>\n",
" <td>-22229.206718</td>\n",
" <td>-22221.793179</td>\n",
" <td>-22214.379544</td>\n",
" <td>-22206.966053</td>\n",
" <td>-22199.552430</td>\n",
" <td>-22192.138915</td>\n",
" <td>-22184.725218</td>\n",
" <td>...</td>\n",
" <td>-21969.095266</td>\n",
" <td>-21969.122261</td>\n",
" <td>-21969.143169</td>\n",
" <td>-21969.158518</td>\n",
" <td>-21969.168768</td>\n",
" <td>-21969.174359</td>\n",
" <td>-21969.175635</td>\n",
" <td>-21969.173008</td>\n",
" <td>-21969.166781</td>\n",
" <td>-21969.157237</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34998.0</th>\n",
" <td>-22132.712359</td>\n",
" <td>-22125.085402</td>\n",
" <td>-22117.458506</td>\n",
" <td>-22109.831691</td>\n",
" <td>-22102.204818</td>\n",
" <td>-22094.577914</td>\n",
" <td>-22086.951095</td>\n",
" <td>-22079.324206</td>\n",
" <td>-22071.697332</td>\n",
" <td>-22064.070504</td>\n",
" <td>...</td>\n",
" <td>-21844.952165</td>\n",
" <td>-21844.992324</td>\n",
" <td>-21845.025240</td>\n",
" <td>-21845.051525</td>\n",
" <td>-21845.071774</td>\n",
" <td>-21845.086478</td>\n",
" <td>-21845.096092</td>\n",
" <td>-21845.101043</td>\n",
" <td>-21845.101729</td>\n",
" <td>-21845.098482</td>\n",
" </tr>\n",
" <tr>\n",
" <th>34999.0</th>\n",
" <td>-22323.576423</td>\n",
" <td>-22315.224190</td>\n",
" <td>-22306.872002</td>\n",
" <td>-22298.519828</td>\n",
" <td>-22290.167535</td>\n",
" <td>-22281.815402</td>\n",
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" <td>-22265.110980</td>\n",
" <td>-22256.758708</td>\n",
" <td>-22248.406541</td>\n",
" <td>...</td>\n",
" <td>-22004.683596</td>\n",
" <td>-22004.725322</td>\n",
" <td>-22004.760085</td>\n",
" <td>-22004.788477</td>\n",
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" <td>-22004.840357</td>\n",
" <td>-22004.847985</td>\n",
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" <td>-22004.851038</td>\n",
" </tr>\n",
" <tr>\n",
" <th>35000.0</th>\n",
" <td>-22255.131272</td>\n",
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" <td>...</td>\n",
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" <td>-21964.905715</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>25001 rows × 81 columns</p>\n",
"</div>"
],
"text/plain": [
" u (0.0000, 0.0000) u (0.0250, 0.0000) u (0.0500, 0.0000) \\\n",
"time (ps) \n",
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"10003.0 -22361.411769 -22353.785553 -22346.159433 \n",
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"10008.0 -22184.675641 -22177.076688 -22169.477853 \n",
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"... ... ... ... \n",
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"34974.0 -22039.618561 -22032.421246 -22025.223601 \n",
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"34978.0 -22178.836755 -22170.843689 -22162.850399 \n",
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"34982.0 -22191.728412 -22183.976117 -22176.223793 \n",
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"34992.0 -22184.061625 -22176.288269 -22168.515085 \n",
"34993.0 -22173.224371 -22165.440422 -22157.655998 \n",
"34994.0 -22306.716588 -22298.508131 -22290.299833 \n",
"34995.0 -22114.810699 -22106.993961 -22099.177343 \n",
"34996.0 -22197.722640 -22190.242665 -22182.762750 \n",
"34997.0 -22251.447297 -22244.033847 -22236.620197 \n",
"34998.0 -22132.712359 -22125.085402 -22117.458506 \n",
"34999.0 -22323.576423 -22315.224190 -22306.872002 \n",
"35000.0 -22255.131272 -22247.531251 -22239.931111 \n",
"\n",
" u (0.0750, 0.0000) u (0.1000, 0.0000) u (0.1250, 0.0000) \\\n",
"time (ps) \n",
"10000.0 -22176.545056 -22168.929507 -22161.313930 \n",
"10001.0 -22290.731225 -22282.995781 -22275.260389 \n",
"10002.0 -22138.749213 -22131.234458 -22123.719842 \n",
"10003.0 -22338.533193 -22330.906907 -22323.280689 \n",
"10004.0 -22083.124330 -22075.691664 -22068.259472 \n",
"10005.0 -22107.600321 -22100.331643 -22093.063460 \n",
"10006.0 -22275.175358 -22268.212856 -22261.250413 \n",
"10007.0 -22131.106031 -22123.111390 -22115.116708 \n",
"10008.0 -22161.878641 -22154.279900 -22146.680571 \n",
"10009.0 -22217.709114 -22210.855452 -22204.001917 \n",
"10010.0 -22240.981818 -22233.602003 -22226.221905 \n",
"10011.0 -22186.418830 -22178.301834 -22170.184863 \n",
"10012.0 -21998.163434 -21990.351008 -21982.538882 \n",
"10013.0 -21955.805359 -21948.651357 -21941.497046 \n",
"10014.0 -22243.628609 -22236.115401 -22228.602265 \n",
"10015.0 -22055.634196 -22048.682400 -22041.730593 \n",
"10016.0 -22341.348141 -22334.544324 -22327.740390 \n",
"10017.0 -22221.813244 -22213.395550 -22204.977947 \n",
"10018.0 -22163.560091 -22156.469913 -22149.379938 \n",
"10019.0 -22046.001862 -22037.963736 -22029.925634 \n",
"10020.0 -22232.084228 -22224.806485 -22217.527889 \n",
"10021.0 -22176.332013 -22169.038716 -22161.745535 \n",
"10022.0 -22042.774807 -22034.918359 -22027.061912 \n",
"10023.0 -22120.927748 -22113.386245 -22105.844885 \n",
"10024.0 -22212.275078 -22205.156987 -22198.039108 \n",
"10025.0 -22111.335587 -22103.454864 -22095.574353 \n",
"10026.0 -21972.877827 -21965.507146 -21958.136559 \n",
"10027.0 -22188.125351 -22181.742052 -22175.359027 \n",
"10028.0 -22143.655972 -22136.389441 -22129.122910 \n",
"10029.0 -22127.312410 -22120.642609 -22113.972758 \n",
"... ... ... ... \n",
"34971.0 -21898.705567 -21890.526974 -21882.348303 \n",
"34972.0 -22185.192288 -22177.664464 -22170.136765 \n",
"34973.0 -22235.232914 -22227.562807 -22219.892704 \n",
"34974.0 -22018.026276 -22010.828789 -22003.631235 \n",
"34975.0 -22174.914457 -22167.299949 -22159.685281 \n",
"34976.0 -22321.220651 -22313.307918 -22305.395221 \n",
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"34982.0 -22168.471473 -22160.719036 -22152.966653 \n",
"34983.0 -22097.971113 -22089.440202 -22080.909317 \n",
"34984.0 -22169.525828 -22161.287269 -22153.048921 \n",
"34985.0 -22227.586431 -22219.814116 -22212.041911 \n",
"34986.0 -22246.813269 -22239.563765 -22232.314224 \n",
"34987.0 -22257.166205 -22250.186761 -22243.207094 \n",
"34988.0 -22232.549192 -22224.904195 -22217.259278 \n",
"34989.0 -22316.836046 -22308.868503 -22300.901188 \n",
"34990.0 -22244.236174 -22237.127503 -22230.018880 \n",
"34991.0 -22159.644340 -22151.354646 -22143.064929 \n",
"34992.0 -22160.741855 -22152.968533 -22145.195320 \n",
"34993.0 -22149.872057 -22142.087850 -22134.303772 \n",
"34994.0 -22282.091569 -22273.883296 -22265.675002 \n",
"34995.0 -22091.360728 -22083.544091 -22075.727411 \n",
"34996.0 -22175.282895 -22167.802959 -22160.323034 \n",
"34997.0 -22229.206718 -22221.793179 -22214.379544 \n",
"34998.0 -22109.831691 -22102.204818 -22094.577914 \n",
"34999.0 -22298.519828 -22290.167535 -22281.815402 \n",
"35000.0 -22232.331126 -22224.731040 -22217.130924 \n",
"\n",
" u (0.1500, 0.0000) u (0.1750, 0.0000) u (0.2000, 0.0000) \\\n",
"time (ps) \n",
"10000.0 -22153.698400 -22146.082851 -22138.467348 \n",
"10001.0 -22267.525420 -22259.789940 -22252.054662 \n",
"10002.0 -22116.205229 -22108.690662 -22101.176037 \n",
"10003.0 -22315.654405 -22308.028020 -22300.401763 \n",
"10004.0 -22060.826900 -22053.394305 -22045.961802 \n",
"10005.0 -22085.794837 -22078.526336 -22071.257776 \n",
"10006.0 -22254.287935 -22247.325410 -22240.362824 \n",
"10007.0 -22107.122161 -22099.127448 -22091.132808 \n",
"10008.0 -22139.081689 -22131.482688 -22123.883593 \n",
"10009.0 -22197.148575 -22190.294936 -22183.441417 \n",
"10010.0 -22218.841820 -22211.461884 -22204.081786 \n",
"10011.0 -22162.067631 -22153.950526 -22145.833511 \n",
"10012.0 -21974.726785 -21966.914505 -21959.102396 \n",
"10013.0 -21934.343070 -21927.188831 -21920.034663 \n",
"10014.0 -22221.089104 -22213.575791 -22206.062582 \n",
"10015.0 -22034.778789 -22027.826957 -22020.875113 \n",
"10016.0 -22320.936361 -22314.132499 -22307.328730 \n",
"10017.0 -22196.560275 -22188.142633 -22179.724922 \n",
"10018.0 -22142.289725 -22135.199596 -22128.109497 \n",
"10019.0 -22021.887437 -22013.849336 -22005.811278 \n",
"10020.0 -22210.249900 -22202.971272 -22195.693087 \n",
"10021.0 -22154.452286 -22147.159036 -22139.865763 \n",
"10022.0 -22019.205365 -22011.348798 -22003.492114 \n",
"10023.0 -22098.303027 -22090.761686 -22083.220256 \n",
"10024.0 -22190.921047 -22183.803076 -22176.684974 \n",
"10025.0 -22087.693891 -22079.813409 -22071.932873 \n",
"10026.0 -21950.765921 -21943.395429 -21936.024654 \n",
"10027.0 -22168.975729 -22162.592646 -22156.209346 \n",
"10028.0 -22121.856260 -22114.589827 -22107.323114 \n",
"10029.0 -22107.302964 -22100.633129 -22093.963328 \n",
"... ... ... ... \n",
"34971.0 -21874.169790 -21865.991126 -21857.812450 \n",
"34972.0 -22162.608933 -22155.081125 -22147.553270 \n",
"34973.0 -22212.222884 -22204.552840 -22196.882830 \n",
"34974.0 -21996.433721 -21989.236270 -21982.038846 \n",
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"34979.0 -22220.542336 -22213.057713 -22205.573098 \n",
"34980.0 -22354.454906 -22347.070718 -22339.686472 \n",
"34981.0 -22043.295277 -22035.171340 -22027.047447 \n",
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"34983.0 -22072.378484 -22063.847736 -22055.316833 \n",
"34984.0 -22144.810403 -22136.571886 -22128.333431 \n",
"34985.0 -22204.269519 -22196.497208 -22188.724797 \n",
"34986.0 -22225.064774 -22217.815207 -22210.565654 \n",
"34987.0 -22236.227453 -22229.247842 -22222.268367 \n",
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"34989.0 -22292.933610 -22284.966206 -22276.998775 \n",
"34990.0 -22222.910178 -22215.801623 -22208.692964 \n",
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"34993.0 -22126.519520 -22118.735415 -22110.951407 \n",
"34994.0 -22257.466692 -22249.258364 -22241.050077 \n",
"34995.0 -22067.910809 -22060.094071 -22052.277419 \n",
"34996.0 -22152.843124 -22145.363211 -22137.883396 \n",
"34997.0 -22206.966053 -22199.552430 -22192.138915 \n",
"34998.0 -22086.951095 -22079.324206 -22071.697332 \n",
"34999.0 -22273.463166 -22265.110980 -22256.758708 \n",
"35000.0 -22209.530975 -22201.930829 -22194.330822 \n",
"\n",
" u (0.2250, 0.0000) ... u (1.0000, 0.7750) \\\n",
"time (ps) ... \n",
"10000.0 -22130.851842 ... -21911.796545 \n",
"10001.0 -22244.319450 ... -22018.702624 \n",
"10002.0 -22093.661230 ... -21879.747498 \n",
"10003.0 -22292.775649 ... -22071.832157 \n",
"10004.0 -22038.529281 ... -21822.480571 \n",
"10005.0 -22063.989093 ... -21850.346153 \n",
"10006.0 -22233.400327 ... -22033.060274 \n",
"10007.0 -22083.138130 ... -21853.656130 \n",
"10008.0 -22116.284711 ... -21890.603221 \n",
"10009.0 -22176.587848 ... -21981.677421 \n",
"10010.0 -22196.701711 ... -21983.424841 \n",
"10011.0 -22137.716136 ... -21906.485124 \n",
"10012.0 -21951.290191 ... -21724.010037 \n",
"10013.0 -21912.880568 ... -21704.207491 \n",
"10014.0 -22198.549233 ... -21982.545265 \n",
"10015.0 -22013.923344 ... -21811.643054 \n",
"10016.0 -22300.524752 ... -22101.641713 \n",
"10017.0 -22171.307272 ... -21931.930120 \n",
"10018.0 -22121.019523 ... -21912.310873 \n",
"10019.0 -21997.773305 ... -21768.802813 \n",
"10020.0 -22188.414976 ... -21973.083253 \n",
"10021.0 -22132.572520 ... -21920.584799 \n",
"10022.0 -21995.635547 ... -21765.724459 \n",
"10023.0 -22075.678411 ... -21854.911467 \n",
"10024.0 -22169.567046 ... -21961.748706 \n",
"10025.0 -22064.052484 ... -21837.302405 \n",
"10026.0 -21928.654014 ... -21713.756897 \n",
"10027.0 -22149.826228 ... -21961.299361 \n",
"10028.0 -22100.056479 ... -21896.037082 \n",
"10029.0 -22087.293453 ... -21887.273445 \n",
"... ... ... ... \n",
"34971.0 -21849.633817 ... -21613.899451 \n",
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"34973.0 -22189.212829 ... -21970.024344 \n",
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"34978.0 -22106.898181 ... -21878.641648 \n",
"34979.0 -22198.088405 ... -21982.986139 \n",
"34980.0 -22332.302269 ... -22121.417458 \n",
"34981.0 -22018.923600 ... -21787.963243 \n",
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"34985.0 -22180.952494 ... -21962.003483 \n",
"34986.0 -22203.316214 ... -21997.219193 \n",
"34987.0 -22215.288632 ... -22010.072738 \n",
"34988.0 -22186.679278 ... -21972.656037 \n",
"34989.0 -22269.031313 ... -22039.554388 \n",
"34990.0 -22201.584340 ... -22005.516191 \n",
"34991.0 -22109.906052 ... -21877.153637 \n",
"34992.0 -22114.102338 ... -21893.880868 \n",
"34993.0 -22103.167205 ... -21882.266623 \n",
"34994.0 -22232.841849 ... -21995.902739 \n",
"34995.0 -22044.460790 ... -21822.229251 \n",
"34996.0 -22130.403262 ... -21915.100373 \n",
"34997.0 -22184.725218 ... -21969.095266 \n",
"34998.0 -22064.070504 ... -21844.952165 \n",
"34999.0 -22248.406541 ... -22004.683596 \n",
"35000.0 -22186.730691 ... -21964.820632 \n",
"\n",
" u (1.0000, 0.8000) u (1.0000, 0.8250) u (1.0000, 0.8500) \\\n",
"time (ps) \n",
"10000.0 -21911.834527 -21911.865430 -21911.889891 \n",
"10001.0 -22018.731823 -22018.754628 -22018.771559 \n",
"10002.0 -21879.787518 -21879.820081 -21879.845819 \n",
"10003.0 -22071.865170 -22071.891358 -22071.911319 \n",
"10004.0 -21822.512207 -21822.537495 -21822.556936 \n",
"10005.0 -21850.367844 -21850.384233 -21850.395786 \n",
"10006.0 -22033.089260 -22033.111995 -22033.128996 \n",
"10007.0 -21853.698117 -21853.732453 -21853.759824 \n",
"10008.0 -21890.621763 -21890.635144 -21890.643761 \n",
"10009.0 -21981.711047 -21981.737972 -21981.758713 \n",
"10010.0 -21983.460903 -21983.490459 -21983.514114 \n",
"10011.0 -21906.534048 -21906.575014 -21906.608710 \n",
"10012.0 -21724.035352 -21724.054766 -21724.068811 \n",
"10013.0 -21704.236096 -21704.258851 -21704.276306 \n",
"10014.0 -21982.584668 -21982.617017 -21982.642922 \n",
"10015.0 -21811.668346 -21811.687904 -21811.702208 \n",
"10016.0 -22101.667099 -22101.686777 -22101.701175 \n",
"10017.0 -21931.980937 -21932.023351 -21932.058090 \n",
"10018.0 -21912.330431 -21912.344875 -21912.354632 \n",
"10019.0 -21768.851856 -21768.892916 -21768.926685 \n",
"10020.0 -21973.102411 -21973.116498 -21973.125973 \n",
"10021.0 -21920.614518 -21920.638127 -21920.656125 \n",
"10022.0 -21765.756688 -21765.782643 -21765.802795 \n",
"10023.0 -21854.940736 -21854.963991 -21854.981702 \n",
"10024.0 -21961.773168 -21961.791876 -21961.805351 \n",
"10025.0 -21837.337804 -21837.366483 -21837.388978 \n",
"10026.0 -21713.781192 -21713.799594 -21713.812568 \n",
"10027.0 -21961.306539 -21961.309449 -21961.308479 \n",
"10028.0 -21896.082001 -21896.119084 -21896.148993 \n",
"10029.0 -21887.281686 -21887.286349 -21887.287700 \n",
"... ... ... ... \n",
"34971.0 -21613.947688 -21613.988084 -21614.021310 \n",
"34972.0 -21925.195984 -21925.226083 -21925.249525 \n",
"34973.0 -21970.066874 -21970.101989 -21970.130335 \n",
"34974.0 -21772.462097 -21772.496433 -21772.523925 \n",
"34975.0 -21914.407988 -21914.442184 -21914.469510 \n",
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"34977.0 -21887.858685 -21887.891105 -21887.916893 \n",
"34978.0 -21878.687375 -21878.725261 -21878.756024 \n",
"34979.0 -21983.020405 -21983.047780 -21983.068855 \n",
"34980.0 -22121.454610 -22121.484802 -22121.508624 \n",
"34981.0 -21788.015313 -21788.059100 -21788.095283 \n",
"34982.0 -21897.260248 -21897.294824 -21897.322859 \n",
"34983.0 -21811.219577 -21811.272124 -21811.315791 \n",
"34984.0 -21885.878851 -21885.924364 -21885.961944 \n",
"34985.0 -21962.058703 -21962.104996 -21962.143123 \n",
"34986.0 -21997.259593 -21997.292458 -21997.318460 \n",
"34987.0 -22010.094763 -22010.111268 -22010.122682 \n",
"34988.0 -21972.710291 -21972.755898 -21972.793621 \n",
"34989.0 -22039.594478 -22039.627134 -22039.653015 \n",
"34990.0 -22005.565638 -22005.607171 -22005.641484 \n",
"34991.0 -21877.205874 -21877.249754 -21877.286007 \n",
"34992.0 -21893.935285 -21893.981249 -21894.019519 \n",
"34993.0 -21882.317014 -21882.359214 -21882.393926 \n",
"34994.0 -21995.951495 -21995.992532 -21996.026491 \n",
"34995.0 -21822.266121 -21822.295863 -21822.319118 \n",
"34996.0 -21915.131298 -21915.155690 -21915.174135 \n",
"34997.0 -21969.122261 -21969.143169 -21969.158518 \n",
"34998.0 -21844.992324 -21845.025240 -21845.051525 \n",
"34999.0 -22004.725322 -22004.760085 -22004.788477 \n",
"35000.0 -21964.851321 -21964.875616 -21964.894064 \n",
"\n",
" u (1.0000, 0.8750) u (1.0000, 0.9000) u (1.0000, 0.9250) \\\n",
"time (ps) \n",
"10000.0 -21911.908433 -21911.921527 -21911.929674 \n",
"10001.0 -22018.783090 -22018.789697 -22018.791757 \n",
"10002.0 -21879.865357 -21879.879185 -21879.887805 \n",
"10003.0 -22071.925527 -22071.934505 -22071.938648 \n",
"10004.0 -21822.571028 -21822.580215 -21822.584906 \n",
"10005.0 -21850.402914 -21850.405971 -21850.405284 \n",
"10006.0 -22033.140787 -22033.147821 -22033.150451 \n",
"10007.0 -21853.780806 -21853.795937 -21853.805695 \n",
"10008.0 -21890.648001 -21890.648215 -21890.644707 \n",
"10009.0 -21981.773868 -21981.783862 -21981.789166 \n",
"10010.0 -21983.532302 -21983.545513 -21983.554134 \n",
"10011.0 -21906.635752 -21906.656733 -21906.672147 \n",
"10012.0 -21724.077952 -21724.082592 -21724.083112 \n",
"10013.0 -21704.288857 -21704.296908 -21704.300838 \n",
"10014.0 -21982.662930 -21982.677541 -21982.687206 \n",
"10015.0 -21811.711725 -21811.716819 -21811.717906 \n",
"10016.0 -22101.710742 -22101.715859 -22101.716876 \n",
"10017.0 -21932.085819 -21932.107154 -21932.122642 \n",
"10018.0 -21912.360126 -21912.361666 -21912.359583 \n",
"10019.0 -21768.953797 -21768.974825 -21768.990290 \n",
"10020.0 -21973.131156 -21973.132436 -21973.130093 \n",
"10021.0 -21920.668982 -21920.677149 -21920.681010 \n",
"10022.0 -21765.817642 -21765.827586 -21765.833080 \n",
"10023.0 -21854.994346 -21855.002304 -21855.005974 \n",
"10024.0 -21961.813991 -21961.818208 -21961.818375 \n",
"10025.0 -21837.405863 -21837.417584 -21837.424594 \n",
"10026.0 -21713.820599 -21713.824102 -21713.823416 \n",
"10027.0 -21961.303955 -21961.296141 -21961.285321 \n",
"10028.0 -21896.172365 -21896.189793 -21896.201754 \n",
"10029.0 -21887.286020 -21887.281542 -21887.274462 \n",
"... ... ... ... \n",
"34971.0 -21614.047948 -21614.068550 -21614.083634 \n",
"34972.0 -21925.266859 -21925.278631 -21925.285284 \n",
"34973.0 -21970.152476 -21970.168934 -21970.180205 \n",
"34974.0 -21772.545143 -21772.560654 -21772.570932 \n",
"34975.0 -21914.490608 -21914.506002 -21914.516229 \n",
"34976.0 -22044.836438 -22044.853726 -22044.865800 \n",
"34977.0 -21887.936618 -21887.950779 -21887.959800 \n",
"34978.0 -21878.780222 -21878.798456 -21878.811198 \n",
"34979.0 -21983.084153 -21983.094166 -21983.099330 \n",
"34980.0 -22121.526622 -22121.539266 -22121.547034 \n",
"34981.0 -21788.124552 -21788.147450 -21788.164548 \n",
"34982.0 -21897.344881 -21897.361412 -21897.372873 \n",
"34983.0 -21811.351333 -21811.379488 -21811.400943 \n",
"34984.0 -21885.992303 -21886.016027 -21886.033669 \n",
"34985.0 -21962.173788 -21962.197610 -21962.215181 \n",
"34986.0 -21997.338185 -21997.352133 -21997.360847 \n",
"34987.0 -22010.129429 -22010.131869 -22010.130352 \n",
"34988.0 -21972.824166 -21972.848155 -21972.866153 \n",
"34989.0 -22039.672670 -22039.686618 -22039.695355 \n",
"34990.0 -22005.669212 -22005.690950 -22005.707218 \n",
"34991.0 -21877.315349 -21877.338364 -21877.355605 \n",
"34992.0 -21894.050704 -21894.075449 -21894.094251 \n",
"34993.0 -21882.421821 -21882.443467 -21882.459405 \n",
"34994.0 -21996.053960 -21996.075508 -21996.091562 \n",
"34995.0 -21822.336453 -21822.348410 -21822.355444 \n",
"34996.0 -21915.187159 -21915.195209 -21915.198717 \n",
"34997.0 -21969.168768 -21969.174359 -21969.175635 \n",
"34998.0 -21845.071774 -21845.086478 -21845.096092 \n",
"34999.0 -22004.811018 -22004.828163 -22004.840357 \n",
"35000.0 -21964.907112 -21964.915232 -21964.918786 \n",
"\n",
" u (1.0000, 0.9500) u (1.0000, 0.9750) u (1.0000, 1.0000) \n",
"time (ps) \n",
"10000.0 -21911.933248 -21911.932635 -21911.928181 \n",
"10001.0 -22018.789651 -22018.783707 -22018.774233 \n",
"10002.0 -21879.891666 -21879.891142 -21879.886595 \n",
"10003.0 -22071.938389 -22071.934032 -22071.925954 \n",
"10004.0 -21822.585472 -21822.582229 -21822.575505 \n",
"10005.0 -21850.401164 -21850.393893 -21850.383709 \n",
"10006.0 -22033.149101 -22033.144081 -22033.135673 \n",
"10007.0 -21853.810502 -21853.810808 -21853.806971 \n",
"10008.0 -21890.637770 -21890.627660 -21890.614636 \n",
"10009.0 -21981.790186 -21981.787226 -21981.780665 \n",
"10010.0 -21983.558561 -21983.559154 -21983.556171 \n",
"10011.0 -21906.682448 -21906.688109 -21906.689482 \n",
"10012.0 -21724.079892 -21724.073215 -21724.063364 \n",
"10013.0 -21704.301005 -21704.297664 -21704.291127 \n",
"10014.0 -21982.692343 -21982.693313 -21982.690449 \n",
"10015.0 -21811.715256 -21811.709215 -21811.700051 \n",
"10016.0 -22101.714129 -22101.707902 -22101.698478 \n",
"10017.0 -21932.132752 -21932.137963 -21932.138673 \n",
"10018.0 -21912.354182 -21912.345705 -21912.334434 \n",
"10019.0 -21769.000637 -21769.006321 -21769.007741 \n",
"10020.0 -21973.124409 -21973.115695 -21973.104137 \n",
"10021.0 -21920.680893 -21920.677149 -21920.670045 \n",
"10022.0 -21765.834430 -21765.832017 -21765.826096 \n",
"10023.0 -21855.005691 -21855.001760 -21854.994490 \n",
"10024.0 -21961.814798 -21961.807787 -21961.797630 \n",
"10025.0 -21837.427295 -21837.426038 -21837.421137 \n",
"10026.0 -21713.818938 -21713.810934 -21713.799734 \n",
"10027.0 -21961.271753 -21961.255625 -21961.237181 \n",
"10028.0 -21896.208737 -21896.211178 -21896.209424 \n",
"10029.0 -21887.264991 -21887.253341 -21887.239629 \n",
"... ... ... ... \n",
"34971.0 -21614.093605 -21614.098909 -21614.099925 \n",
"34972.0 -21925.287294 -21925.285020 -21925.278817 \n",
"34973.0 -21970.186719 -21970.188872 -21970.187026 \n",
"34974.0 -21772.576426 -21772.577539 -21772.574649 \n",
"34975.0 -21914.521723 -21914.522887 -21914.520090 \n",
"34976.0 -22044.873117 -22044.876031 -22044.874894 \n",
"34977.0 -21887.964157 -21887.964180 -21887.960226 \n",
"34978.0 -21878.818918 -21878.822042 -21878.820905 \n",
"34979.0 -21983.100040 -21983.096677 -21983.089573 \n",
"34980.0 -22121.550324 -22121.549497 -22121.544904 \n",
"34981.0 -21788.176315 -21788.183206 -21788.185623 \n",
"34982.0 -21897.379667 -21897.382177 -21897.380757 \n",
"34983.0 -21811.416265 -21811.425995 -21811.430616 \n",
"34984.0 -21886.045769 -21886.052757 -21886.055077 \n",
"34985.0 -21962.227022 -21962.233630 -21962.235403 \n",
"34986.0 -21997.364707 -21997.364164 -21997.359543 \n",
"34987.0 -22010.125215 -22010.116691 -22010.105087 \n",
"34988.0 -21972.878681 -21972.886184 -21972.889121 \n",
"34989.0 -22039.699285 -22039.698812 -22039.694315 \n",
"34990.0 -22005.718516 -22005.725240 -22005.727796 \n",
"34991.0 -21877.367586 -21877.374760 -21877.377553 \n",
"34992.0 -21894.107655 -21894.116062 -21894.119896 \n",
"34993.0 -21882.470082 -21882.475956 -21882.477422 \n",
"34994.0 -21996.102623 -21996.109041 -21996.111240 \n",
"34995.0 -21822.358024 -21822.356507 -21822.351250 \n",
"34996.0 -21915.198053 -21915.193576 -21915.185619 \n",
"34997.0 -21969.173008 -21969.166781 -21969.157237 \n",
"34998.0 -21845.101043 -21845.101729 -21845.098482 \n",
"34999.0 -22004.847985 -22004.851442 -22004.851038 \n",
"35000.0 -21964.918169 -21964.913719 -21964.905715 \n",
"\n",
"[25001 rows x 81 columns]"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"slicing(slicing(u_nk, lower=10000), upper=35000, step=10)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is more interesting if we use other subsamplers, such as subsampling according to statistical inefficiency:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from alchemlyb.preprocessing import statistical_inefficiency"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>u (0.0000, 0.0000)</th>\n",
" <th>u (0.0250, 0.0000)</th>\n",
" <th>u (0.0500, 0.0000)</th>\n",
" <th>u (0.0750, 0.0000)</th>\n",
" <th>u (0.1000, 0.0000)</th>\n",
" <th>u (0.1250, 0.0000)</th>\n",
" <th>u (0.1500, 0.0000)</th>\n",
" <th>u (0.1750, 0.0000)</th>\n",
" <th>u (0.2000, 0.0000)</th>\n",
" <th>u (0.2250, 0.0000)</th>\n",
" <th>...</th>\n",
" <th>u (1.0000, 0.7750)</th>\n",
" <th>u (1.0000, 0.8000)</th>\n",
" <th>u (1.0000, 0.8250)</th>\n",
" <th>u (1.0000, 0.8500)</th>\n",
" <th>u (1.0000, 0.8750)</th>\n",
" <th>u (1.0000, 0.9000)</th>\n",
" <th>u (1.0000, 0.9250)</th>\n",
" <th>u (1.0000, 0.9500)</th>\n",
" <th>u (1.0000, 0.9750)</th>\n",
" <th>u (1.0000, 1.0000)</th>\n",
" </tr>\n",
" <tr>\n",
" <th>time (ps)</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>10000.0</th>\n",
" <td>-22199.391617</td>\n",
" <td>-22191.776113</td>\n",
" <td>-22184.160538</td>\n",
" <td>-22176.545056</td>\n",
" <td>-22168.929507</td>\n",
" <td>-22161.313930</td>\n",
" <td>-22153.698400</td>\n",
" <td>-22146.082851</td>\n",
" <td>-22138.467348</td>\n",
" <td>-22130.851842</td>\n",
" <td>...</td>\n",
" <td>-21911.796545</td>\n",
" <td>-21911.834527</td>\n",
" <td>-21911.865430</td>\n",
" <td>-21911.889891</td>\n",
" <td>-21911.908433</td>\n",
" <td>-21911.921527</td>\n",
" <td>-21911.929674</td>\n",
" <td>-21911.933248</td>\n",
" <td>-21911.932635</td>\n",
" <td>-21911.928181</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10000.7</th>\n",
" <td>-22405.710643</td>\n",
" <td>-22397.861417</td>\n",
" <td>-22390.011930</td>\n",
" <td>-22382.162632</td>\n",
" <td>-22374.313147</td>\n",
" <td>-22366.463990</td>\n",
" <td>-22358.614574</td>\n",
" <td>-22350.765207</td>\n",
" <td>-22342.915841</td>\n",
" <td>-22335.066533</td>\n",
" <td>...</td>\n",
" <td>-22108.292055</td>\n",
" <td>-22108.330631</td>\n",
" <td>-22108.362076</td>\n",
" <td>-22108.387058</td>\n",
" <td>-22108.406073</td>\n",
" <td>-22108.419621</td>\n",
" <td>-22108.428191</td>\n",
" <td>-22108.432168</td>\n",
" <td>-22108.431908</td>\n",
" <td>-22108.427811</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10001.4</th>\n",
" <td>-22343.978497</td>\n",
" <td>-22336.101839</td>\n",
" <td>-22328.225015</td>\n",
" <td>-22320.348427</td>\n",
" <td>-22312.471723</td>\n",
" <td>-22304.595063</td>\n",
" <td>-22296.718240</td>\n",
" <td>-22288.841700</td>\n",
" <td>-22280.964970</td>\n",
" <td>-22273.088255</td>\n",
" <td>...</td>\n",
" <td>-22051.825281</td>\n",
" <td>-22051.868711</td>\n",
" <td>-22051.904254</td>\n",
" <td>-22051.932622</td>\n",
" <td>-22051.954458</td>\n",
" <td>-22051.970345</td>\n",
" <td>-22051.980813</td>\n",
" <td>-22051.986353</td>\n",
" <td>-22051.987374</td>\n",
" <td>-22051.984270</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10002.1</th>\n",
" <td>-21944.282395</td>\n",
" <td>-21936.340093</td>\n",
" <td>-21928.397980</td>\n",
" <td>-21920.455582</td>\n",
" <td>-21912.513517</td>\n",
" <td>-21904.571071</td>\n",
" <td>-21896.628792</td>\n",
" <td>-21888.686645</td>\n",
" <td>-21880.744332</td>\n",
" <td>-21872.802108</td>\n",
" <td>...</td>\n",
" <td>-21647.494692</td>\n",
" <td>-21647.546293</td>\n",
" <td>-21647.589319</td>\n",
" <td>-21647.624532</td>\n",
" <td>-21647.652567</td>\n",
" <td>-21647.674068</td>\n",
" <td>-21647.689556</td>\n",
" <td>-21647.699551</td>\n",
" <td>-21647.704474</td>\n",
" <td>-21647.704808</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10002.8</th>\n",
" <td>-22182.627170</td>\n",
" <td>-22174.900037</td>\n",
" <td>-22167.172927</td>\n",
" <td>-22159.445935</td>\n",
" <td>-22151.718707</td>\n",
" <td>-22143.991668</td>\n",
" <td>-22136.264557</td>\n",
" <td>-22128.537569</td>\n",
" <td>-22120.810551</td>\n",
" <td>-22113.083374</td>\n",
" <td>...</td>\n",
" <td>-21886.768817</td>\n",
" <td>-21886.794773</td>\n",
" <td>-21886.814831</td>\n",
" <td>-21886.829512</td>\n",
" <td>-21886.839219</td>\n",
" <td>-21886.844360</td>\n",
" <td>-21886.845353</td>\n",
" <td>-21886.842486</td>\n",
" <td>-21886.836092</td>\n",
" <td>-21886.826455</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10003.5</th>\n",
" <td>-22223.294027</td>\n",
" <td>-22215.384894</td>\n",
" <td>-22207.475880</td>\n",
" <td>-22199.566746</td>\n",
" <td>-22191.657613</td>\n",
" <td>-22183.748409</td>\n",
" <td>-22175.839310</td>\n",
" <td>-22167.930165</td>\n",
" <td>-22160.021151</td>\n",
" <td>-22152.111967</td>\n",
" <td>...</td>\n",
" <td>-21925.818559</td>\n",
" <td>-21925.854671</td>\n",
" <td>-21925.883680</td>\n",
" <td>-21925.906175</td>\n",
" <td>-21925.922703</td>\n",
" <td>-21925.933811</td>\n",
" <td>-21925.939921</td>\n",
" <td>-21925.941508</td>\n",
" <td>-21925.938901</td>\n",
" <td>-21925.932461</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10004.2</th>\n",
" <td>-22097.987728</td>\n",
" <td>-22090.388021</td>\n",
" <td>-22082.788077</td>\n",
" <td>-22075.188440</td>\n",
" <td>-22067.588379</td>\n",
" <td>-22059.988624</td>\n",
" <td>-22052.388820</td>\n",
" <td>-22044.789000</td>\n",
" <td>-22037.189125</td>\n",
" <td>-22029.589347</td>\n",
" <td>...</td>\n",
" <td>-21804.563315</td>\n",
" <td>-21804.574752</td>\n",
" <td>-21804.581480</td>\n",
" <td>-21804.583893</td>\n",
" <td>-21804.582329</td>\n",
" <td>-21804.577123</td>\n",
" <td>-21804.568572</td>\n",
" <td>-21804.556967</td>\n",
" <td>-21804.542500</td>\n",
" <td>-21804.525452</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10004.9</th>\n",
" <td>-22102.566233</td>\n",
" <td>-22094.977113</td>\n",
" <td>-22087.388205</td>\n",
" <td>-22079.799133</td>\n",
" <td>-22072.209964</td>\n",
" <td>-22064.621152</td>\n",
" <td>-22057.032056</td>\n",
" <td>-22049.443056</td>\n",
" <td>-22041.853990</td>\n",
" <td>-22034.264994</td>\n",
" <td>...</td>\n",
" <td>-21818.764055</td>\n",
" <td>-21818.807912</td>\n",
" <td>-21818.844021</td>\n",
" <td>-21818.873077</td>\n",
" <td>-21818.895668</td>\n",
" <td>-21818.912363</td>\n",
" <td>-21818.923661</td>\n",
" <td>-21818.930004</td>\n",
" <td>-21818.931828</td>\n",
" <td>-21818.929531</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10005.6</th>\n",
" <td>-22351.044873</td>\n",
" <td>-22343.769646</td>\n",
" <td>-22336.493732</td>\n",
" <td>-22329.218080</td>\n",
" <td>-22321.942568</td>\n",
" <td>-22314.666703</td>\n",
" <td>-22307.391098</td>\n",
" <td>-22300.115326</td>\n",
" <td>-22292.839977</td>\n",
" <td>-22285.564008</td>\n",
" <td>...</td>\n",
" <td>-22078.706819</td>\n",
" <td>-22078.747762</td>\n",
" <td>-22078.781434</td>\n",
" <td>-22078.808453</td>\n",
" <td>-22078.829434</td>\n",
" <td>-22078.844849</td>\n",
" <td>-22078.855219</td>\n",
" <td>-22078.860950</td>\n",
" <td>-22078.862420</td>\n",
" <td>-22078.860003</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10006.3</th>\n",
" <td>-22272.233429</td>\n",
" <td>-22264.958506</td>\n",
" <td>-22257.683419</td>\n",
" <td>-22250.408521</td>\n",
" <td>-22243.133456</td>\n",
" <td>-22235.858580</td>\n",
" <td>-22228.583543</td>\n",
" <td>-22221.308761</td>\n",
" <td>-22214.033695</td>\n",
" <td>-22206.758808</td>\n",
" <td>...</td>\n",
" <td>-21997.389800</td>\n",
" <td>-21997.428280</td>\n",
" <td>-21997.459752</td>\n",
" <td>-21997.484781</td>\n",
" <td>-21997.503916</td>\n",
" <td>-21997.517627</td>\n",
" <td>-21997.526387</td>\n",
" <td>-21997.530554</td>\n",
" <td>-21997.530554</td>\n",
" <td>-21997.526670</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10007.0</th>\n",
" <td>-22155.090089</td>\n",
" <td>-22147.095331</td>\n",
" <td>-22139.100787</td>\n",
" <td>-22131.106031</td>\n",
" <td>-22123.111390</td>\n",
" <td>-22115.116708</td>\n",
" <td>-22107.122161</td>\n",
" <td>-22099.127448</td>\n",
" <td>-22091.132808</td>\n",
" <td>-22083.138130</td>\n",
" <td>...</td>\n",
" <td>-21853.656130</td>\n",
" <td>-21853.698117</td>\n",
" <td>-21853.732453</td>\n",
" <td>-21853.759824</td>\n",
" <td>-21853.780806</td>\n",
" <td>-21853.795937</td>\n",
" <td>-21853.805695</td>\n",
" <td>-21853.810502</td>\n",
" <td>-21853.810808</td>\n",
" <td>-21853.806971</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10007.7</th>\n",
" <td>-21978.537667</td>\n",
" <td>-21970.477516</td>\n",
" <td>-21962.417105</td>\n",
" <td>-21954.356882</td>\n",
" <td>-21946.296424</td>\n",
" <td>-21938.236203</td>\n",
" <td>-21930.175906</td>\n",
" <td>-21922.115427</td>\n",
" <td>-21914.055110</td>\n",
" <td>-21905.994721</td>\n",
" <td>...</td>\n",
" <td>-21675.718493</td>\n",
" <td>-21675.762633</td>\n",
" <td>-21675.798955</td>\n",
" <td>-21675.828131</td>\n",
" <td>-21675.850769</td>\n",
" <td>-21675.867417</td>\n",
" <td>-21675.878618</td>\n",
" <td>-21675.884775</td>\n",
" <td>-21675.886335</td>\n",
" <td>-21675.883685</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10008.4</th>\n",
" <td>-22295.904796</td>\n",
" <td>-22288.172975</td>\n",
" <td>-22280.441580</td>\n",
" <td>-22272.710374</td>\n",
" <td>-22264.978931</td>\n",
" <td>-22257.247346</td>\n",
" <td>-22249.515835</td>\n",
" <td>-22241.784607</td>\n",
" <td>-22234.052910</td>\n",
" <td>-22226.321473</td>\n",
" <td>...</td>\n",
" <td>-22002.251730</td>\n",
" <td>-22002.289926</td>\n",
" <td>-22002.321088</td>\n",
" <td>-22002.345763</td>\n",
" <td>-22002.364495</td>\n",
" <td>-22002.377779</td>\n",
" <td>-22002.386066</td>\n",
" <td>-22002.389760</td>\n",
" <td>-22002.389217</td>\n",
" <td>-22002.384763</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10009.1</th>\n",
" <td>-22242.778847</td>\n",
" <td>-22235.979117</td>\n",
" <td>-22229.179127</td>\n",
" <td>-22222.379564</td>\n",
" <td>-22215.579502</td>\n",
" <td>-22208.779656</td>\n",
" <td>-22201.980136</td>\n",
" <td>-22195.180174</td>\n",
" <td>-22188.380203</td>\n",
" <td>-22181.580477</td>\n",
" <td>...</td>\n",
" <td>-21984.393768</td>\n",
" <td>-21984.421970</td>\n",
" <td>-21984.443945</td>\n",
" <td>-21984.460236</td>\n",
" <td>-21984.471297</td>\n",
" <td>-21984.477594</td>\n",
" <td>-21984.479491</td>\n",
" <td>-21984.477357</td>\n",
" <td>-21984.471511</td>\n",
" <td>-21984.462250</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10009.8</th>\n",
" <td>-22229.151450</td>\n",
" <td>-22222.028758</td>\n",
" <td>-22214.906161</td>\n",
" <td>-22207.783681</td>\n",
" <td>-22200.661096</td>\n",
" <td>-22193.538546</td>\n",
" <td>-22186.415996</td>\n",
" <td>-22179.293447</td>\n",
" <td>-22172.170743</td>\n",
" <td>-22165.048361</td>\n",
" <td>...</td>\n",
" <td>-21958.489261</td>\n",
" <td>-21958.522247</td>\n",
" <td>-21958.549006</td>\n",
" <td>-21958.570080</td>\n",
" <td>-21958.585925</td>\n",
" <td>-21958.597006</td>\n",
" <td>-21958.603683</td>\n",
" <td>-21958.606337</td>\n",
" <td>-21958.605293</td>\n",
" <td>-21958.600843</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10010.5</th>\n",
" <td>-22214.452819</td>\n",
" <td>-22206.609412</td>\n",
" <td>-22198.765887</td>\n",
" <td>-22190.922433</td>\n",
" <td>-22183.078813</td>\n",
" <td>-22175.235193</td>\n",
" <td>-22167.391879</td>\n",
" <td>-22159.548461</td>\n",
" <td>-22151.704794</td>\n",
" <td>-22143.861224</td>\n",
" <td>...</td>\n",
" <td>-21922.136637</td>\n",
" <td>-21922.190461</td>\n",
" <td>-21922.235951</td>\n",
" <td>-21922.273817</td>\n",
" <td>-21922.304743</td>\n",
" <td>-21922.329344</td>\n",
" <td>-21922.348099</td>\n",
" <td>-21922.361550</td>\n",
" <td>-21922.370147</td>\n",
" <td>-21922.374268</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10011.2</th>\n",
" <td>-22302.240720</td>\n",
" <td>-22294.174461</td>\n",
" <td>-22286.107918</td>\n",
" <td>-22278.041659</td>\n",
" <td>-22269.975305</td>\n",
" <td>-22261.909261</td>\n",
" <td>-22253.843024</td>\n",
" <td>-22245.776788</td>\n",
" <td>-22237.710388</td>\n",
" <td>-22229.644109</td>\n",
" <td>...</td>\n",
" <td>-21994.190462</td>\n",
" <td>-21994.226098</td>\n",
" <td>-21994.255060</td>\n",
" <td>-21994.277935</td>\n",
" <td>-21994.295196</td>\n",
" <td>-21994.307297</td>\n",
" <td>-21994.314661</td>\n",
" <td>-21994.317671</td>\n",
" <td>-21994.316674</td>\n",
" <td>-21994.312011</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10011.9</th>\n",
" <td>-22054.220709</td>\n",
" <td>-22046.509683</td>\n",
" <td>-22038.798587</td>\n",
" <td>-22031.087846</td>\n",
" <td>-22023.376892</td>\n",
" <td>-22015.665938</td>\n",
" <td>-22007.954878</td>\n",
" <td>-22000.244026</td>\n",
" <td>-21992.533148</td>\n",
" <td>-21984.822048</td>\n",
" <td>...</td>\n",
" <td>-21762.182957</td>\n",
" <td>-21762.216629</td>\n",
" <td>-21762.243652</td>\n",
" <td>-21762.264583</td>\n",
" <td>-21762.279974</td>\n",
" <td>-21762.290251</td>\n",
" <td>-21762.295889</td>\n",
" <td>-21762.297239</td>\n",
" <td>-21762.294682</td>\n",
" <td>-21762.288525</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10012.6</th>\n",
" <td>-21961.466954</td>\n",
" <td>-21953.024539</td>\n",
" <td>-21944.582054</td>\n",
" <td>-21936.139591</td>\n",
" <td>-21927.697344</td>\n",
" <td>-21919.254880</td>\n",
" <td>-21910.812300</td>\n",
" <td>-21902.369983</td>\n",
" <td>-21893.927391</td>\n",
" <td>-21885.484911</td>\n",
" <td>...</td>\n",
" <td>-21647.317377</td>\n",
" <td>-21647.368904</td>\n",
" <td>-21647.412167</td>\n",
" <td>-21647.447880</td>\n",
" <td>-21647.476746</td>\n",
" <td>-21647.499310</td>\n",
" <td>-21647.516172</td>\n",
" <td>-21647.527799</td>\n",
" <td>-21647.534620</td>\n",
" <td>-21647.537084</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10013.3</th>\n",
" <td>-22106.961216</td>\n",
" <td>-22100.503421</td>\n",
" <td>-22094.045579</td>\n",
" <td>-22087.587808</td>\n",
" <td>-22081.129931</td>\n",
" <td>-22074.672159</td>\n",
" <td>-22068.214364</td>\n",
" <td>-22061.756558</td>\n",
" <td>-22055.298658</td>\n",
" <td>-22048.840909</td>\n",
" <td>...</td>\n",
" <td>-21855.365778</td>\n",
" <td>-21855.370511</td>\n",
" <td>-21855.371624</td>\n",
" <td>-21855.369374</td>\n",
" <td>-21855.364070</td>\n",
" <td>-21855.355900</td>\n",
" <td>-21855.345149</td>\n",
" <td>-21855.331962</td>\n",
" <td>-21855.316567</td>\n",
" <td>-21855.299116</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10014.0</th>\n",
" <td>-22266.168469</td>\n",
" <td>-22258.655356</td>\n",
" <td>-22251.141793</td>\n",
" <td>-22243.628609</td>\n",
" <td>-22236.115401</td>\n",
" <td>-22228.602265</td>\n",
" <td>-22221.089104</td>\n",
" <td>-22213.575791</td>\n",
" <td>-22206.062582</td>\n",
" <td>-22198.549233</td>\n",
" <td>...</td>\n",
" <td>-21982.545265</td>\n",
" <td>-21982.584668</td>\n",
" <td>-21982.617017</td>\n",
" <td>-21982.642922</td>\n",
" <td>-21982.662930</td>\n",
" <td>-21982.677541</td>\n",
" <td>-21982.687206</td>\n",
" <td>-21982.692343</td>\n",
" <td>-21982.693313</td>\n",
" <td>-21982.690449</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10014.7</th>\n",
" <td>-21951.521005</td>\n",
" <td>-21944.175363</td>\n",
" <td>-21936.829767</td>\n",
" <td>-21929.484266</td>\n",
" <td>-21922.138624</td>\n",
" <td>-21914.793098</td>\n",
" <td>-21907.447478</td>\n",
" <td>-21900.101933</td>\n",
" <td>-21892.756407</td>\n",
" <td>-21885.410881</td>\n",
" <td>...</td>\n",
" <td>-21668.256554</td>\n",
" <td>-21668.278032</td>\n",
" <td>-21668.294277</td>\n",
" <td>-21668.305691</td>\n",
" <td>-21668.312702</td>\n",
" <td>-21668.315639</td>\n",
" <td>-21668.314809</td>\n",
" <td>-21668.310521</td>\n",
" <td>-21668.303088</td>\n",
" <td>-21668.292690</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10015.4</th>\n",
" <td>-22253.243560</td>\n",
" <td>-22245.791198</td>\n",
" <td>-22238.338931</td>\n",
" <td>-22230.886712</td>\n",
" <td>-22223.434338</td>\n",
" <td>-22215.981953</td>\n",
" <td>-22208.529722</td>\n",
" <td>-22201.077359</td>\n",
" <td>-22193.624973</td>\n",
" <td>-22186.172758</td>\n",
" <td>...</td>\n",
" <td>-21972.302154</td>\n",
" <td>-21972.340447</td>\n",
" <td>-21972.371702</td>\n",
" <td>-21972.396545</td>\n",
" <td>-21972.415513</td>\n",
" <td>-21972.429103</td>\n",
" <td>-21972.437794</td>\n",
" <td>-21972.441961</td>\n",
" <td>-21972.442011</td>\n",
" <td>-21972.438267</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10016.1</th>\n",
" <td>-22405.455425</td>\n",
" <td>-22397.983509</td>\n",
" <td>-22390.511617</td>\n",
" <td>-22383.039700</td>\n",
" <td>-22375.567904</td>\n",
" <td>-22368.095690</td>\n",
" <td>-22360.623777</td>\n",
" <td>-22353.151953</td>\n",
" <td>-22345.679920</td>\n",
" <td>-22338.207957</td>\n",
" <td>...</td>\n",
" <td>-22118.824700</td>\n",
" <td>-22118.848572</td>\n",
" <td>-22118.866900</td>\n",
" <td>-22118.880138</td>\n",
" <td>-22118.888685</td>\n",
" <td>-22118.892972</td>\n",
" <td>-22118.893302</td>\n",
" <td>-22118.889989</td>\n",
" <td>-22118.883382</td>\n",
" <td>-22118.873671</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10016.8</th>\n",
" <td>-22107.415630</td>\n",
" <td>-22099.326816</td>\n",
" <td>-22091.237457</td>\n",
" <td>-22083.148618</td>\n",
" <td>-22075.059473</td>\n",
" <td>-22066.970538</td>\n",
" <td>-22058.881442</td>\n",
" <td>-22050.792346</td>\n",
" <td>-22042.703339</td>\n",
" <td>-22034.614359</td>\n",
" <td>...</td>\n",
" <td>-21795.822184</td>\n",
" <td>-21795.847449</td>\n",
" <td>-21795.867058</td>\n",
" <td>-21795.881479</td>\n",
" <td>-21795.891116</td>\n",
" <td>-21795.896350</td>\n",
" <td>-21795.897556</td>\n",
" <td>-21795.895070</td>\n",
" <td>-21795.889126</td>\n",
" <td>-21795.880059</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10017.5</th>\n",
" <td>-22040.484562</td>\n",
" <td>-22032.930660</td>\n",
" <td>-22025.376663</td>\n",
" <td>-22017.822667</td>\n",
" <td>-22010.268764</td>\n",
" <td>-22002.714744</td>\n",
" <td>-21995.160807</td>\n",
" <td>-21987.606880</td>\n",
" <td>-21980.052977</td>\n",
" <td>-21972.498996</td>\n",
" <td>...</td>\n",
" <td>-21747.723525</td>\n",
" <td>-21747.737993</td>\n",
" <td>-21747.747537</td>\n",
" <td>-21747.752581</td>\n",
" <td>-21747.753458</td>\n",
" <td>-21747.750497</td>\n",
" <td>-21747.743983</td>\n",
" <td>-21747.734253</td>\n",
" <td>-21747.721488</td>\n",
" <td>-21747.705954</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10018.2</th>\n",
" <td>-22168.509002</td>\n",
" <td>-22161.112093</td>\n",
" <td>-22153.715327</td>\n",
" <td>-22146.318346</td>\n",
" <td>-22138.921521</td>\n",
" <td>-22131.524432</td>\n",
" <td>-22124.127608</td>\n",
" <td>-22116.730648</td>\n",
" <td>-22109.333778</td>\n",
" <td>-22101.936771</td>\n",
" <td>...</td>\n",
" <td>-21894.775809</td>\n",
" <td>-21894.823073</td>\n",
" <td>-21894.862262</td>\n",
" <td>-21894.894115</td>\n",
" <td>-21894.919240</td>\n",
" <td>-21894.938278</td>\n",
" <td>-21894.951702</td>\n",
" <td>-21894.960039</td>\n",
" <td>-21894.963686</td>\n",
" <td>-21894.963070</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10018.9</th>\n",
" <td>-22002.349613</td>\n",
" <td>-21995.731419</td>\n",
" <td>-21989.113130</td>\n",
" <td>-21982.494770</td>\n",
" <td>-21975.876481</td>\n",
" <td>-21969.258193</td>\n",
" <td>-21962.639738</td>\n",
" <td>-21956.021460</td>\n",
" <td>-21949.403113</td>\n",
" <td>-21942.784881</td>\n",
" <td>...</td>\n",
" <td>-21750.512874</td>\n",
" <td>-21750.542732</td>\n",
" <td>-21750.566674</td>\n",
" <td>-21750.585169</td>\n",
" <td>-21750.598690</td>\n",
" <td>-21750.607664</td>\n",
" <td>-21750.612401</td>\n",
" <td>-21750.613301</td>\n",
" <td>-21750.610624</td>\n",
" <td>-21750.604703</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10019.6</th>\n",
" <td>-22172.756593</td>\n",
" <td>-22165.247221</td>\n",
" <td>-22157.737872</td>\n",
" <td>-22150.228665</td>\n",
" <td>-22142.719316</td>\n",
" <td>-22135.209851</td>\n",
" <td>-22127.700490</td>\n",
" <td>-22120.191320</td>\n",
" <td>-22112.681921</td>\n",
" <td>-22105.172654</td>\n",
" <td>...</td>\n",
" <td>-21893.285656</td>\n",
" <td>-21893.331095</td>\n",
" <td>-21893.368748</td>\n",
" <td>-21893.399294</td>\n",
" <td>-21893.423329</td>\n",
" <td>-21893.441447</td>\n",
" <td>-21893.454138</td>\n",
" <td>-21893.461905</td>\n",
" <td>-21893.465149</td>\n",
" <td>-21893.464248</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10020.3</th>\n",
" <td>-22076.993068</td>\n",
" <td>-22068.984384</td>\n",
" <td>-22060.975226</td>\n",
" <td>-22052.966259</td>\n",
" <td>-22044.957291</td>\n",
" <td>-22036.948489</td>\n",
" <td>-22028.939405</td>\n",
" <td>-22020.930534</td>\n",
" <td>-22012.921644</td>\n",
" <td>-22004.912774</td>\n",
" <td>...</td>\n",
" <td>-21769.679330</td>\n",
" <td>-21769.701022</td>\n",
" <td>-21769.717123</td>\n",
" <td>-21769.728138</td>\n",
" <td>-21769.734504</td>\n",
" <td>-21769.736588</td>\n",
" <td>-21769.734741</td>\n",
" <td>-21769.729298</td>\n",
" <td>-21769.720557</td>\n",
" <td>-21769.708789</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49979.1</th>\n",
" <td>-22323.189226</td>\n",
" <td>-22315.198647</td>\n",
" <td>-22307.207925</td>\n",
" <td>-22299.217180</td>\n",
" <td>-22291.226648</td>\n",
" <td>-22283.235904</td>\n",
" <td>-22275.245299</td>\n",
" <td>-22267.254671</td>\n",
" <td>-22259.264012</td>\n",
" <td>-22251.273244</td>\n",
" <td>...</td>\n",
" <td>-22027.306438</td>\n",
" <td>-22027.362963</td>\n",
" <td>-22027.410652</td>\n",
" <td>-22027.450269</td>\n",
" <td>-22027.482498</td>\n",
" <td>-22027.508027</td>\n",
" <td>-22027.527371</td>\n",
" <td>-22027.541082</td>\n",
" <td>-22027.549633</td>\n",
" <td>-22027.553466</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49979.8</th>\n",
" <td>-22044.113273</td>\n",
" <td>-22036.873862</td>\n",
" <td>-22029.634403</td>\n",
" <td>-22022.394920</td>\n",
" <td>-22015.155533</td>\n",
" <td>-22007.915955</td>\n",
" <td>-22000.676663</td>\n",
" <td>-21993.437128</td>\n",
" <td>-21986.197686</td>\n",
" <td>-21978.958186</td>\n",
" <td>...</td>\n",
" <td>-21771.145375</td>\n",
" <td>-21771.181108</td>\n",
" <td>-21771.210256</td>\n",
" <td>-21771.233391</td>\n",
" <td>-21771.251032</td>\n",
" <td>-21771.263634</td>\n",
" <td>-21771.271611</td>\n",
" <td>-21771.275401</td>\n",
" <td>-21771.275308</td>\n",
" <td>-21771.271684</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49980.5</th>\n",
" <td>-22125.147782</td>\n",
" <td>-22117.601978</td>\n",
" <td>-22110.056363</td>\n",
" <td>-22102.510418</td>\n",
" <td>-22094.964778</td>\n",
" <td>-22087.419070</td>\n",
" <td>-22079.873196</td>\n",
" <td>-22072.327486</td>\n",
" <td>-22064.781656</td>\n",
" <td>-22057.235854</td>\n",
" <td>...</td>\n",
" <td>-21834.923953</td>\n",
" <td>-21834.951208</td>\n",
" <td>-21834.972784</td>\n",
" <td>-21834.989121</td>\n",
" <td>-21835.000652</td>\n",
" <td>-21835.007756</td>\n",
" <td>-21835.010790</td>\n",
" <td>-21835.010053</td>\n",
" <td>-21835.005886</td>\n",
" <td>-21834.998499</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49981.2</th>\n",
" <td>-22275.798688</td>\n",
" <td>-22267.621805</td>\n",
" <td>-22259.444733</td>\n",
" <td>-22251.268253</td>\n",
" <td>-22243.091227</td>\n",
" <td>-22234.914300</td>\n",
" <td>-22226.737226</td>\n",
" <td>-22218.560486</td>\n",
" <td>-22210.383576</td>\n",
" <td>-22202.206553</td>\n",
" <td>...</td>\n",
" <td>-21979.410067</td>\n",
" <td>-21979.482599</td>\n",
" <td>-21979.544830</td>\n",
" <td>-21979.597731</td>\n",
" <td>-21979.642107</td>\n",
" <td>-21979.678767</td>\n",
" <td>-21979.708389</td>\n",
" <td>-21979.731571</td>\n",
" <td>-21979.748882</td>\n",
" <td>-21979.760863</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49981.9</th>\n",
" <td>-22157.408349</td>\n",
" <td>-22150.487563</td>\n",
" <td>-22143.566493</td>\n",
" <td>-22136.645921</td>\n",
" <td>-22129.725017</td>\n",
" <td>-22122.804091</td>\n",
" <td>-22115.883259</td>\n",
" <td>-22108.962496</td>\n",
" <td>-22102.041318</td>\n",
" <td>-22095.120513</td>\n",
" <td>...</td>\n",
" <td>-21902.421748</td>\n",
" <td>-21902.471358</td>\n",
" <td>-21902.513011</td>\n",
" <td>-21902.547393</td>\n",
" <td>-21902.575172</td>\n",
" <td>-21902.596887</td>\n",
" <td>-21902.613058</td>\n",
" <td>-21902.624189</td>\n",
" <td>-21902.630676</td>\n",
" <td>-21902.632950</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49982.6</th>\n",
" <td>-21999.500928</td>\n",
" <td>-21991.513017</td>\n",
" <td>-21983.525034</td>\n",
" <td>-21975.537003</td>\n",
" <td>-21967.548950</td>\n",
" <td>-21959.560967</td>\n",
" <td>-21951.573195</td>\n",
" <td>-21943.585112</td>\n",
" <td>-21935.596889</td>\n",
" <td>-21927.609070</td>\n",
" <td>...</td>\n",
" <td>-21703.257847</td>\n",
" <td>-21703.310441</td>\n",
" <td>-21703.354744</td>\n",
" <td>-21703.391473</td>\n",
" <td>-21703.421285</td>\n",
" <td>-21703.444801</td>\n",
" <td>-21703.462562</td>\n",
" <td>-21703.475086</td>\n",
" <td>-21703.482807</td>\n",
" <td>-21703.486124</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49983.3</th>\n",
" <td>-22262.330117</td>\n",
" <td>-22254.380808</td>\n",
" <td>-22246.431855</td>\n",
" <td>-22238.482569</td>\n",
" <td>-22230.533616</td>\n",
" <td>-22222.584402</td>\n",
" <td>-22214.635279</td>\n",
" <td>-22206.686390</td>\n",
" <td>-22198.737104</td>\n",
" <td>-22190.787959</td>\n",
" <td>...</td>\n",
" <td>-21958.431981</td>\n",
" <td>-21958.468257</td>\n",
" <td>-21958.498236</td>\n",
" <td>-21958.522414</td>\n",
" <td>-21958.541262</td>\n",
" <td>-21958.555233</td>\n",
" <td>-21958.564731</td>\n",
" <td>-21958.570104</td>\n",
" <td>-21958.571691</td>\n",
" <td>-21958.569798</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49984.0</th>\n",
" <td>-22152.182741</td>\n",
" <td>-22144.130635</td>\n",
" <td>-22136.078316</td>\n",
" <td>-22128.026328</td>\n",
" <td>-22119.973987</td>\n",
" <td>-22111.921832</td>\n",
" <td>-22103.869869</td>\n",
" <td>-22095.817600</td>\n",
" <td>-22087.765446</td>\n",
" <td>-22079.713173</td>\n",
" <td>...</td>\n",
" <td>-21851.010639</td>\n",
" <td>-21851.059062</td>\n",
" <td>-21851.099722</td>\n",
" <td>-21851.133278</td>\n",
" <td>-21851.160413</td>\n",
" <td>-21851.181608</td>\n",
" <td>-21851.197426</td>\n",
" <td>-21851.208320</td>\n",
" <td>-21851.214664</td>\n",
" <td>-21851.216891</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49984.7</th>\n",
" <td>-22007.143203</td>\n",
" <td>-21999.764196</td>\n",
" <td>-21992.385142</td>\n",
" <td>-21985.006159</td>\n",
" <td>-21977.627223</td>\n",
" <td>-21970.248324</td>\n",
" <td>-21962.869290</td>\n",
" <td>-21955.490336</td>\n",
" <td>-21948.111398</td>\n",
" <td>-21940.732413</td>\n",
" <td>...</td>\n",
" <td>-21739.503237</td>\n",
" <td>-21739.550811</td>\n",
" <td>-21739.589931</td>\n",
" <td>-21739.621403</td>\n",
" <td>-21739.645912</td>\n",
" <td>-21739.664100</td>\n",
" <td>-21739.676531</td>\n",
" <td>-21739.683728</td>\n",
" <td>-21739.686145</td>\n",
" <td>-21739.684201</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49985.4</th>\n",
" <td>-22274.362859</td>\n",
" <td>-22267.381715</td>\n",
" <td>-22260.400239</td>\n",
" <td>-22253.419002</td>\n",
" <td>-22246.438070</td>\n",
" <td>-22239.456715</td>\n",
" <td>-22232.475452</td>\n",
" <td>-22225.494096</td>\n",
" <td>-22218.513069</td>\n",
" <td>-22211.531642</td>\n",
" <td>...</td>\n",
" <td>-22003.922673</td>\n",
" <td>-22003.934204</td>\n",
" <td>-22003.941238</td>\n",
" <td>-22003.944101</td>\n",
" <td>-22003.943178</td>\n",
" <td>-22003.938751</td>\n",
" <td>-22003.931077</td>\n",
" <td>-22003.920446</td>\n",
" <td>-22003.907092</td>\n",
" <td>-22003.891201</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49986.1</th>\n",
" <td>-22148.407688</td>\n",
" <td>-22140.351084</td>\n",
" <td>-22132.295023</td>\n",
" <td>-22124.238939</td>\n",
" <td>-22116.182595</td>\n",
" <td>-22108.126415</td>\n",
" <td>-22100.069916</td>\n",
" <td>-22092.013752</td>\n",
" <td>-22083.957536</td>\n",
" <td>-22075.901371</td>\n",
" <td>...</td>\n",
" <td>-21852.542376</td>\n",
" <td>-21852.599420</td>\n",
" <td>-21852.647467</td>\n",
" <td>-21852.687273</td>\n",
" <td>-21852.719622</td>\n",
" <td>-21852.745171</td>\n",
" <td>-21852.764496</td>\n",
" <td>-21852.778156</td>\n",
" <td>-21852.786633</td>\n",
" <td>-21852.790401</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49986.8</th>\n",
" <td>-22262.693019</td>\n",
" <td>-22254.826182</td>\n",
" <td>-22246.959227</td>\n",
" <td>-22239.092626</td>\n",
" <td>-22231.225719</td>\n",
" <td>-22223.358952</td>\n",
" <td>-22215.492200</td>\n",
" <td>-22207.625270</td>\n",
" <td>-22199.758550</td>\n",
" <td>-22191.891783</td>\n",
" <td>...</td>\n",
" <td>-21969.398089</td>\n",
" <td>-21969.447509</td>\n",
" <td>-21969.489116</td>\n",
" <td>-21969.523642</td>\n",
" <td>-21969.551704</td>\n",
" <td>-21969.573842</td>\n",
" <td>-21969.590610</td>\n",
" <td>-21969.602401</td>\n",
" <td>-21969.609671</td>\n",
" <td>-21969.612822</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49987.5</th>\n",
" <td>-22117.102110</td>\n",
" <td>-22109.312632</td>\n",
" <td>-22101.523485</td>\n",
" <td>-22093.734008</td>\n",
" <td>-22085.944482</td>\n",
" <td>-22078.155290</td>\n",
" <td>-22070.366048</td>\n",
" <td>-22062.576523</td>\n",
" <td>-22054.787351</td>\n",
" <td>-22046.998016</td>\n",
" <td>...</td>\n",
" <td>-21820.746878</td>\n",
" <td>-21820.780504</td>\n",
" <td>-21820.807712</td>\n",
" <td>-21820.829047</td>\n",
" <td>-21820.844962</td>\n",
" <td>-21820.855973</td>\n",
" <td>-21820.862436</td>\n",
" <td>-21820.864756</td>\n",
" <td>-21820.863243</td>\n",
" <td>-21820.858246</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49988.2</th>\n",
" <td>-22225.009163</td>\n",
" <td>-22217.389452</td>\n",
" <td>-22209.769622</td>\n",
" <td>-22202.149815</td>\n",
" <td>-22194.529914</td>\n",
" <td>-22186.910214</td>\n",
" <td>-22179.290410</td>\n",
" <td>-22171.670590</td>\n",
" <td>-22164.050726</td>\n",
" <td>-22156.430964</td>\n",
" <td>...</td>\n",
" <td>-21939.779876</td>\n",
" <td>-21939.818643</td>\n",
" <td>-21939.850278</td>\n",
" <td>-21939.875450</td>\n",
" <td>-21939.894678</td>\n",
" <td>-21939.908533</td>\n",
" <td>-21939.917460</td>\n",
" <td>-21939.921887</td>\n",
" <td>-21939.922197</td>\n",
" <td>-21939.918736</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49988.9</th>\n",
" <td>-22178.518393</td>\n",
" <td>-22171.434679</td>\n",
" <td>-22164.350823</td>\n",
" <td>-22157.267370</td>\n",
" <td>-22150.183513</td>\n",
" <td>-22143.099967</td>\n",
" <td>-22136.016346</td>\n",
" <td>-22128.932614</td>\n",
" <td>-22121.848906</td>\n",
" <td>-22114.765205</td>\n",
" <td>...</td>\n",
" <td>-21907.788787</td>\n",
" <td>-21907.815713</td>\n",
" <td>-21907.837024</td>\n",
" <td>-21907.853222</td>\n",
" <td>-21907.864706</td>\n",
" <td>-21907.871857</td>\n",
" <td>-21907.875030</td>\n",
" <td>-21907.874580</td>\n",
" <td>-21907.870743</td>\n",
" <td>-21907.863853</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49989.6</th>\n",
" <td>-22097.279986</td>\n",
" <td>-22089.372448</td>\n",
" <td>-22081.464650</td>\n",
" <td>-22073.557042</td>\n",
" <td>-22065.649599</td>\n",
" <td>-22057.741849</td>\n",
" <td>-22049.834263</td>\n",
" <td>-22041.926534</td>\n",
" <td>-22034.019068</td>\n",
" <td>-22026.111494</td>\n",
" <td>...</td>\n",
" <td>-21792.291593</td>\n",
" <td>-21792.318491</td>\n",
" <td>-21792.339686</td>\n",
" <td>-21792.355671</td>\n",
" <td>-21792.366848</td>\n",
" <td>-21792.373595</td>\n",
" <td>-21792.376249</td>\n",
" <td>-21792.375159</td>\n",
" <td>-21792.370588</td>\n",
" <td>-21792.362798</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49990.3</th>\n",
" <td>-22190.438479</td>\n",
" <td>-22182.651012</td>\n",
" <td>-22174.863686</td>\n",
" <td>-22167.076290</td>\n",
" <td>-22159.288798</td>\n",
" <td>-22151.501427</td>\n",
" <td>-22143.714051</td>\n",
" <td>-22135.926587</td>\n",
" <td>-22128.139199</td>\n",
" <td>-22120.351804</td>\n",
" <td>...</td>\n",
" <td>-21896.195089</td>\n",
" <td>-21896.241883</td>\n",
" <td>-21896.281072</td>\n",
" <td>-21896.313301</td>\n",
" <td>-21896.339136</td>\n",
" <td>-21896.359121</td>\n",
" <td>-21896.373709</td>\n",
" <td>-21896.383346</td>\n",
" <td>-21896.388460</td>\n",
" <td>-21896.389360</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49991.0</th>\n",
" <td>-22413.144404</td>\n",
" <td>-22406.018625</td>\n",
" <td>-22398.892822</td>\n",
" <td>-22391.767042</td>\n",
" <td>-22384.641405</td>\n",
" <td>-22377.515554</td>\n",
" <td>-22370.389753</td>\n",
" <td>-22363.263996</td>\n",
" <td>-22356.138336</td>\n",
" <td>-22349.012699</td>\n",
" <td>...</td>\n",
" <td>-22141.703212</td>\n",
" <td>-22141.732667</td>\n",
" <td>-22141.756159</td>\n",
" <td>-22141.774180</td>\n",
" <td>-22141.787181</td>\n",
" <td>-22141.795585</td>\n",
" <td>-22141.799756</td>\n",
" <td>-22141.800039</td>\n",
" <td>-22141.796768</td>\n",
" <td>-22141.790235</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49991.7</th>\n",
" <td>-22255.724005</td>\n",
" <td>-22248.471930</td>\n",
" <td>-22241.220043</td>\n",
" <td>-22233.967825</td>\n",
" <td>-22226.715820</td>\n",
" <td>-22219.463887</td>\n",
" <td>-22212.211775</td>\n",
" <td>-22204.959417</td>\n",
" <td>-22197.707339</td>\n",
" <td>-22190.455397</td>\n",
" <td>...</td>\n",
" <td>-21982.477863</td>\n",
" <td>-21982.517506</td>\n",
" <td>-21982.550205</td>\n",
" <td>-21982.576587</td>\n",
" <td>-21982.597165</td>\n",
" <td>-21982.612413</td>\n",
" <td>-21982.622810</td>\n",
" <td>-21982.628754</td>\n",
" <td>-21982.630601</td>\n",
" <td>-21982.628708</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49992.4</th>\n",
" <td>-22215.669145</td>\n",
" <td>-22208.165193</td>\n",
" <td>-22200.661737</td>\n",
" <td>-22193.158069</td>\n",
" <td>-22185.654068</td>\n",
" <td>-22178.150612</td>\n",
" <td>-22170.646801</td>\n",
" <td>-22163.142849</td>\n",
" <td>-22155.639181</td>\n",
" <td>-22148.135586</td>\n",
" <td>...</td>\n",
" <td>-21933.725929</td>\n",
" <td>-21933.766492</td>\n",
" <td>-21933.799978</td>\n",
" <td>-21933.826973</td>\n",
" <td>-21933.848048</td>\n",
" <td>-21933.863699</td>\n",
" <td>-21933.874426</td>\n",
" <td>-21933.880630</td>\n",
" <td>-21933.882667</td>\n",
" <td>-21933.880913</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49993.1</th>\n",
" <td>-22064.953533</td>\n",
" <td>-22057.384815</td>\n",
" <td>-22049.815837</td>\n",
" <td>-22042.247142</td>\n",
" <td>-22034.678377</td>\n",
" <td>-22027.109661</td>\n",
" <td>-22019.541034</td>\n",
" <td>-22011.972376</td>\n",
" <td>-22004.403566</td>\n",
" <td>-21996.834799</td>\n",
" <td>...</td>\n",
" <td>-21781.902842</td>\n",
" <td>-21781.948829</td>\n",
" <td>-21781.987025</td>\n",
" <td>-21782.018071</td>\n",
" <td>-21782.042579</td>\n",
" <td>-21782.061167</td>\n",
" <td>-21782.074265</td>\n",
" <td>-21782.082386</td>\n",
" <td>-21782.085939</td>\n",
" <td>-21782.085299</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49993.8</th>\n",
" <td>-22358.665509</td>\n",
" <td>-22351.629894</td>\n",
" <td>-22344.593948</td>\n",
" <td>-22337.558358</td>\n",
" <td>-22330.522791</td>\n",
" <td>-22323.487200</td>\n",
" <td>-22316.451442</td>\n",
" <td>-22309.415761</td>\n",
" <td>-22302.380119</td>\n",
" <td>-22295.344593</td>\n",
" <td>...</td>\n",
" <td>-22098.720286</td>\n",
" <td>-22098.771339</td>\n",
" <td>-22098.813966</td>\n",
" <td>-22098.848942</td>\n",
" <td>-22098.876884</td>\n",
" <td>-22098.898409</td>\n",
" <td>-22098.914037</td>\n",
" <td>-22098.924314</td>\n",
" <td>-22098.929668</td>\n",
" <td>-22098.930495</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49994.5</th>\n",
" <td>-22145.604655</td>\n",
" <td>-22138.039443</td>\n",
" <td>-22130.473758</td>\n",
" <td>-22122.908309</td>\n",
" <td>-22115.343026</td>\n",
" <td>-22107.777578</td>\n",
" <td>-22100.212059</td>\n",
" <td>-22092.646776</td>\n",
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" <th>49998.0</th>\n",
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"</table>\n",
"<p>57143 rows × 81 columns</p>\n",
"</div>"
],
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"49993.1 -22019.541034 -22011.972376 -22004.403566 \n",
"49993.8 -22316.451442 -22309.415761 -22302.380119 \n",
"49994.5 -22100.212059 -22092.646776 -22085.081303 \n",
"49995.2 -22211.621437 -22204.128539 -22196.635932 \n",
"49995.9 -22129.640784 -22122.261000 -22114.881049 \n",
"49996.6 -22118.937615 -22110.275351 -22101.613044 \n",
"49997.3 -22130.088055 -22122.122998 -22114.157779 \n",
"49998.0 -22173.857071 -22166.672377 -22159.487562 \n",
"49998.7 -22151.880503 -22144.451473 -22137.022226 \n",
"49999.4 -22255.240084 -22247.710290 -22240.180254 \n",
"\n",
" u (0.2250, 0.0000) ... u (1.0000, 0.7750) \\\n",
"time (ps) ... \n",
"10000.0 -22130.851842 ... -21911.796545 \n",
"10000.7 -22335.066533 ... -22108.292055 \n",
"10001.4 -22273.088255 ... -22051.825281 \n",
"10002.1 -21872.802108 ... -21647.494692 \n",
"10002.8 -22113.083374 ... -21886.768817 \n",
"10003.5 -22152.111967 ... -21925.818559 \n",
"10004.2 -22029.589347 ... -21804.563315 \n",
"10004.9 -22034.264994 ... -21818.764055 \n",
"10005.6 -22285.564008 ... -22078.706819 \n",
"10006.3 -22206.758808 ... -21997.389800 \n",
"10007.0 -22083.138130 ... -21853.656130 \n",
"10007.7 -21905.994721 ... -21675.718493 \n",
"10008.4 -22226.321473 ... -22002.251730 \n",
"10009.1 -22181.580477 ... -21984.393768 \n",
"10009.8 -22165.048361 ... -21958.489261 \n",
"10010.5 -22143.861224 ... -21922.136637 \n",
"10011.2 -22229.644109 ... -21994.190462 \n",
"10011.9 -21984.822048 ... -21762.182957 \n",
"10012.6 -21885.484911 ... -21647.317377 \n",
"10013.3 -22048.840909 ... -21855.365778 \n",
"10014.0 -22198.549233 ... -21982.545265 \n",
"10014.7 -21885.410881 ... -21668.256554 \n",
"10015.4 -22186.172758 ... -21972.302154 \n",
"10016.1 -22338.207957 ... -22118.824700 \n",
"10016.8 -22034.614359 ... -21795.822184 \n",
"10017.5 -21972.498996 ... -21747.723525 \n",
"10018.2 -22101.936771 ... -21894.775809 \n",
"10018.9 -21942.784881 ... -21750.512874 \n",
"10019.6 -22105.172654 ... -21893.285656 \n",
"10020.3 -22004.912774 ... -21769.679330 \n",
"... ... ... ... \n",
"49979.1 -22251.273244 ... -22027.306438 \n",
"49979.8 -21978.958186 ... -21771.145375 \n",
"49980.5 -22057.235854 ... -21834.923953 \n",
"49981.2 -22202.206553 ... -21979.410067 \n",
"49981.9 -22095.120513 ... -21902.421748 \n",
"49982.6 -21927.609070 ... -21703.257847 \n",
"49983.3 -22190.787959 ... -21958.431981 \n",
"49984.0 -22079.713173 ... -21851.010639 \n",
"49984.7 -21940.732413 ... -21739.503237 \n",
"49985.4 -22211.531642 ... -22003.922673 \n",
"49986.1 -22075.901371 ... -21852.542376 \n",
"49986.8 -22191.891783 ... -21969.398089 \n",
"49987.5 -22046.998016 ... -21820.746878 \n",
"49988.2 -22156.430964 ... -21939.779876 \n",
"49988.9 -22114.765205 ... -21907.788787 \n",
"49989.6 -22026.111494 ... -21792.291593 \n",
"49990.3 -22120.351804 ... -21896.195089 \n",
"49991.0 -22349.012699 ... -22141.703212 \n",
"49991.7 -22190.455397 ... -21982.477863 \n",
"49992.4 -22148.135586 ... -21933.725929 \n",
"49993.1 -21996.834799 ... -21781.902842 \n",
"49993.8 -22295.344593 ... -22098.720286 \n",
"49994.5 -22077.515853 ... -21861.646920 \n",
"49995.2 -22189.143406 ... -21970.055631 \n",
"49995.9 -22107.501548 ... -21886.477229 \n",
"49996.6 -22092.950877 ... -21837.146775 \n",
"49997.3 -22106.192489 ... -21881.098561 \n",
"49998.0 -22152.302650 ... -21942.870267 \n",
"49998.7 -22129.593091 ... -21917.327530 \n",
"49999.4 -22232.650580 ... -22018.114020 \n",
"\n",
" u (1.0000, 0.8000) u (1.0000, 0.8250) u (1.0000, 0.8500) \\\n",
"time (ps) \n",
"10000.0 -21911.834527 -21911.865430 -21911.889891 \n",
"10000.7 -22108.330631 -22108.362076 -22108.387058 \n",
"10001.4 -22051.868711 -22051.904254 -22051.932622 \n",
"10002.1 -21647.546293 -21647.589319 -21647.624532 \n",
"10002.8 -21886.794773 -21886.814831 -21886.829512 \n",
"10003.5 -21925.854671 -21925.883680 -21925.906175 \n",
"10004.2 -21804.574752 -21804.581480 -21804.583893 \n",
"10004.9 -21818.807912 -21818.844021 -21818.873077 \n",
"10005.6 -22078.747762 -22078.781434 -22078.808453 \n",
"10006.3 -21997.428280 -21997.459752 -21997.484781 \n",
"10007.0 -21853.698117 -21853.732453 -21853.759824 \n",
"10007.7 -21675.762633 -21675.798955 -21675.828131 \n",
"10008.4 -22002.289926 -22002.321088 -22002.345763 \n",
"10009.1 -21984.421970 -21984.443945 -21984.460236 \n",
"10009.8 -21958.522247 -21958.549006 -21958.570080 \n",
"10010.5 -21922.190461 -21922.235951 -21922.273817 \n",
"10011.2 -21994.226098 -21994.255060 -21994.277935 \n",
"10011.9 -21762.216629 -21762.243652 -21762.264583 \n",
"10012.6 -21647.368904 -21647.412167 -21647.447880 \n",
"10013.3 -21855.370511 -21855.371624 -21855.369374 \n",
"10014.0 -21982.584668 -21982.617017 -21982.642922 \n",
"10014.7 -21668.278032 -21668.294277 -21668.305691 \n",
"10015.4 -21972.340447 -21972.371702 -21972.396545 \n",
"10016.1 -22118.848572 -22118.866900 -22118.880138 \n",
"10016.8 -21795.847449 -21795.867058 -21795.881479 \n",
"10017.5 -21747.737993 -21747.747537 -21747.752581 \n",
"10018.2 -21894.823073 -21894.862262 -21894.894115 \n",
"10018.9 -21750.542732 -21750.566674 -21750.585169 \n",
"10019.6 -21893.331095 -21893.368748 -21893.399294 \n",
"10020.3 -21769.701022 -21769.717123 -21769.728138 \n",
"... ... ... ... \n",
"49979.1 -22027.362963 -22027.410652 -22027.450269 \n",
"49979.8 -21771.181108 -21771.210256 -21771.233391 \n",
"49980.5 -21834.951208 -21834.972784 -21834.989121 \n",
"49981.2 -21979.482599 -21979.544830 -21979.597731 \n",
"49981.9 -21902.471358 -21902.513011 -21902.547393 \n",
"49982.6 -21703.310441 -21703.354744 -21703.391473 \n",
"49983.3 -21958.468257 -21958.498236 -21958.522414 \n",
"49984.0 -21851.059062 -21851.099722 -21851.133278 \n",
"49984.7 -21739.550811 -21739.589931 -21739.621403 \n",
"49985.4 -22003.934204 -22003.941238 -22003.944101 \n",
"49986.1 -21852.599420 -21852.647467 -21852.687273 \n",
"49986.8 -21969.447509 -21969.489116 -21969.523642 \n",
"49987.5 -21820.780504 -21820.807712 -21820.829047 \n",
"49988.2 -21939.818643 -21939.850278 -21939.875450 \n",
"49988.9 -21907.815713 -21907.837024 -21907.853222 \n",
"49989.6 -21792.318491 -21792.339686 -21792.355671 \n",
"49990.3 -21896.241883 -21896.281072 -21896.313301 \n",
"49991.0 -22141.732667 -22141.756159 -22141.774180 \n",
"49991.7 -21982.517506 -21982.550205 -21982.576587 \n",
"49992.4 -21933.766492 -21933.799978 -21933.826973 \n",
"49993.1 -21781.948829 -21781.987025 -21782.018071 \n",
"49993.8 -22098.771339 -22098.813966 -22098.848942 \n",
"49994.5 -21861.693310 -21861.731863 -21861.763239 \n",
"49995.2 -21970.082677 -21970.103798 -21970.119499 \n",
"49995.9 -21886.489877 -21886.498257 -21886.502711 \n",
"49996.6 -21837.180707 -21837.208486 -21837.230554 \n",
"49997.3 -21881.151178 -21881.195392 -21881.231928 \n",
"49998.0 -21942.895605 -21942.915117 -21942.929254 \n",
"49998.7 -21917.366839 -21917.398925 -21917.424427 \n",
"49999.4 -22018.159394 -22018.197043 -22018.227662 \n",
"\n",
" u (1.0000, 0.8750) u (1.0000, 0.9000) u (1.0000, 0.9250) \\\n",
"time (ps) \n",
"10000.0 -21911.908433 -21911.921527 -21911.929674 \n",
"10000.7 -22108.406073 -22108.419621 -22108.428191 \n",
"10001.4 -22051.954458 -22051.970345 -22051.980813 \n",
"10002.1 -21647.652567 -21647.674068 -21647.689556 \n",
"10002.8 -21886.839219 -21886.844360 -21886.845353 \n",
"10003.5 -21925.922703 -21925.933811 -21925.939921 \n",
"10004.2 -21804.582329 -21804.577123 -21804.568572 \n",
"10004.9 -21818.895668 -21818.912363 -21818.923661 \n",
"10005.6 -22078.829434 -22078.844849 -22078.855219 \n",
"10006.3 -21997.503916 -21997.517627 -21997.526387 \n",
"10007.0 -21853.780806 -21853.795937 -21853.805695 \n",
"10007.7 -21675.850769 -21675.867417 -21675.878618 \n",
"10008.4 -22002.364495 -22002.377779 -22002.386066 \n",
"10009.1 -21984.471297 -21984.477594 -21984.479491 \n",
"10009.8 -21958.585925 -21958.597006 -21958.603683 \n",
"10010.5 -21922.304743 -21922.329344 -21922.348099 \n",
"10011.2 -21994.295196 -21994.307297 -21994.314661 \n",
"10011.9 -21762.279974 -21762.290251 -21762.295889 \n",
"10012.6 -21647.476746 -21647.499310 -21647.516172 \n",
"10013.3 -21855.364070 -21855.355900 -21855.345149 \n",
"10014.0 -21982.662930 -21982.677541 -21982.687206 \n",
"10014.7 -21668.312702 -21668.315639 -21668.314809 \n",
"10015.4 -21972.415513 -21972.429103 -21972.437794 \n",
"10016.1 -22118.888685 -22118.892972 -22118.893302 \n",
"10016.8 -21795.891116 -21795.896350 -21795.897556 \n",
"10017.5 -21747.753458 -21747.750497 -21747.743983 \n",
"10018.2 -21894.919240 -21894.938278 -21894.951702 \n",
"10018.9 -21750.598690 -21750.607664 -21750.612401 \n",
"10019.6 -21893.423329 -21893.441447 -21893.454138 \n",
"10020.3 -21769.734504 -21769.736588 -21769.734741 \n",
"... ... ... ... \n",
"49979.1 -22027.482498 -22027.508027 -22027.527371 \n",
"49979.8 -21771.251032 -21771.263634 -21771.271611 \n",
"49980.5 -21835.000652 -21835.007756 -21835.010790 \n",
"49981.2 -21979.642107 -21979.678767 -21979.708389 \n",
"49981.9 -21902.575172 -21902.596887 -21902.613058 \n",
"49982.6 -21703.421285 -21703.444801 -21703.462562 \n",
"49983.3 -21958.541262 -21958.555233 -21958.564731 \n",
"49984.0 -21851.160413 -21851.181608 -21851.197426 \n",
"49984.7 -21739.645912 -21739.664100 -21739.676531 \n",
"49985.4 -22003.943178 -22003.938751 -22003.931077 \n",
"49986.1 -21852.719622 -21852.745171 -21852.764496 \n",
"49986.8 -21969.551704 -21969.573842 -21969.590610 \n",
"49987.5 -21820.844962 -21820.855973 -21820.862436 \n",
"49988.2 -21939.894678 -21939.908533 -21939.917460 \n",
"49988.9 -21907.864706 -21907.871857 -21907.875030 \n",
"49989.6 -21792.366848 -21792.373595 -21792.376249 \n",
"49990.3 -21896.339136 -21896.359121 -21896.373709 \n",
"49991.0 -22141.787181 -22141.795585 -22141.799756 \n",
"49991.7 -21982.597165 -21982.612413 -21982.622810 \n",
"49992.4 -21933.848048 -21933.863699 -21933.874426 \n",
"49993.1 -21782.042579 -21782.061167 -21782.074265 \n",
"49993.8 -22098.876884 -22098.898409 -22098.914037 \n",
"49994.5 -21861.788007 -21861.806762 -21861.819976 \n",
"49995.2 -21970.130223 -21970.136380 -21970.138347 \n",
"49995.9 -21886.503538 -21886.501004 -21886.495371 \n",
"49996.6 -21837.247392 -21837.259396 -21837.266973 \n",
"49997.3 -21881.261457 -21881.284568 -21881.301810 \n",
"49998.0 -21942.938512 -21942.943272 -21942.943889 \n",
"49998.7 -21917.443918 -21917.457889 -21917.466840 \n",
"49999.4 -22018.251840 -22018.270122 -22018.283002 \n",
"\n",
" u (1.0000, 0.9500) u (1.0000, 0.9750) u (1.0000, 1.0000) \n",
"time (ps) \n",
"10000.0 -21911.933248 -21911.932635 -21911.928181 \n",
"10000.7 -22108.432168 -22108.431908 -22108.427811 \n",
"10001.4 -22051.986353 -22051.987374 -22051.984270 \n",
"10002.1 -21647.699551 -21647.704474 -21647.704808 \n",
"10002.8 -21886.842486 -21886.836092 -21886.826455 \n",
"10003.5 -21925.941508 -21925.938901 -21925.932461 \n",
"10004.2 -21804.556967 -21804.542500 -21804.525452 \n",
"10004.9 -21818.930004 -21818.931828 -21818.929531 \n",
"10005.6 -22078.860950 -22078.862420 -22078.860003 \n",
"10006.3 -21997.530554 -21997.530554 -21997.526670 \n",
"10007.0 -21853.810502 -21853.810808 -21853.806971 \n",
"10007.7 -21675.884775 -21675.886335 -21675.883685 \n",
"10008.4 -22002.389760 -22002.389217 -22002.384763 \n",
"10009.1 -21984.477357 -21984.471511 -21984.462250 \n",
"10009.8 -21958.606337 -21958.605293 -21958.600843 \n",
"10010.5 -21922.361550 -21922.370147 -21922.374268 \n",
"10011.2 -21994.317671 -21994.316674 -21994.312011 \n",
"10011.9 -21762.297239 -21762.294682 -21762.288525 \n",
"10012.6 -21647.527799 -21647.534620 -21647.537084 \n",
"10013.3 -21855.331962 -21855.316567 -21855.299116 \n",
"10014.0 -21982.692343 -21982.693313 -21982.690449 \n",
"10014.7 -21668.310521 -21668.303088 -21668.292690 \n",
"10015.4 -21972.441961 -21972.442011 -21972.438267 \n",
"10016.1 -22118.889989 -22118.883382 -22118.873671 \n",
"10016.8 -21795.895070 -21795.889126 -21795.880059 \n",
"10017.5 -21747.734253 -21747.721488 -21747.705954 \n",
"10018.2 -21894.960039 -21894.963686 -21894.963070 \n",
"10018.9 -21750.613301 -21750.610624 -21750.604703 \n",
"10019.6 -21893.461905 -21893.465149 -21893.464248 \n",
"10020.3 -21769.729298 -21769.720557 -21769.708789 \n",
"... ... ... ... \n",
"49979.1 -22027.541082 -22027.549633 -22027.553466 \n",
"49979.8 -21771.275401 -21771.275308 -21771.271684 \n",
"49980.5 -21835.010053 -21835.005886 -21834.998499 \n",
"49981.2 -21979.731571 -21979.748882 -21979.760863 \n",
"49981.9 -21902.624189 -21902.630676 -21902.632950 \n",
"49982.6 -21703.475086 -21703.482807 -21703.486124 \n",
"49983.3 -21958.570104 -21958.571691 -21958.569798 \n",
"49984.0 -21851.208320 -21851.214664 -21851.216891 \n",
"49984.7 -21739.683728 -21739.686145 -21739.684201 \n",
"49985.4 -22003.920446 -22003.907092 -22003.891201 \n",
"49986.1 -21852.778156 -21852.786633 -21852.790401 \n",
"49986.8 -21969.602401 -21969.609671 -21969.612822 \n",
"49987.5 -21820.864756 -21820.863243 -21820.858246 \n",
"49988.2 -21939.921887 -21939.922197 -21939.918736 \n",
"49988.9 -21907.874580 -21907.870743 -21907.863853 \n",
"49989.6 -21792.375159 -21792.370588 -21792.362798 \n",
"49990.3 -21896.383346 -21896.388460 -21896.389360 \n",
"49991.0 -22141.800039 -22141.796768 -22141.790235 \n",
"49991.7 -21982.628754 -21982.630601 -21982.628708 \n",
"49992.4 -21933.880630 -21933.882667 -21933.880913 \n",
"49993.1 -21782.082386 -21782.085939 -21782.085299 \n",
"49993.8 -22098.924314 -22098.929668 -22098.930495 \n",
"49994.5 -21861.828097 -21861.831581 -21861.830774 \n",
"49995.2 -21970.136454 -21970.130983 -21970.122270 \n",
"49995.9 -21886.486893 -21886.475762 -21886.462218 \n",
"49996.6 -21837.270481 -21837.270194 -21837.266454 \n",
"49997.3 -21881.313697 -21881.320658 -21881.323098 \n",
"49998.0 -21942.940715 -21942.934038 -21942.924160 \n",
"49998.7 -21917.471150 -21917.471244 -21917.467457 \n",
"49999.4 -22018.290937 -22018.294347 -22018.293563 \n",
"\n",
"[57143 rows x 81 columns]"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"statistical_inefficiency(u_nk, u_nk[u_nk.columns[0]], lower=10000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These subsamplers can be used in any way one likes to subsample the data using different schemes, and are furthermore easy to swap around. Being functions, they are also already written in such a way that makes using distributed libraries, such as `dask`, easy too:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from dask.delayed import delayed\n",
"from dask import multiprocessing"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"u_nk_d = delayed(pd.concat)([delayed(gmx.extract_u_nk)(xvg, T=310) for xvg in xvgs])"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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g9+7d2L9/v14UQQCwsrLCsWPHoFKpYG9vj7i4OKkjEZGe455BIqp0QghMnDgRu3btwq+/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\nyyARERGRD/MH8KPqIYiIiIhIiVP/B+JMhmZi+vAMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"u_nk_d.visualize()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"u_nk_statinef_d = delayed(statistical_inefficiency)(u_nk_d, \n",
" u_nk_d[u_nk_d.columns[0]], \n",
" lower=10000)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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RCWMZJCIiIjJhLINEREREJoxlkIiIiMiEsQwSERERmTCWQSIiIiITxjJIREREZMJYBomI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"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"u_nk_statinef_d.visualize()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>u (0.0000, 0.0000)</th>\n",
" <th>u (0.0250, 0.0000)</th>\n",
" <th>u (0.0500, 0.0000)</th>\n",
" <th>u (0.0750, 0.0000)</th>\n",
" <th>u (0.1000, 0.0000)</th>\n",
" <th>u (0.1250, 0.0000)</th>\n",
" <th>u (0.1500, 0.0000)</th>\n",
" <th>u (0.1750, 0.0000)</th>\n",
" <th>u (0.2000, 0.0000)</th>\n",
" <th>u (0.2250, 0.0000)</th>\n",
" <th>...</th>\n",
" <th>u (1.0000, 0.7750)</th>\n",
" <th>u (1.0000, 0.8000)</th>\n",
" <th>u (1.0000, 0.8250)</th>\n",
" <th>u (1.0000, 0.8500)</th>\n",
" <th>u (1.0000, 0.8750)</th>\n",
" <th>u (1.0000, 0.9000)</th>\n",
" <th>u (1.0000, 0.9250)</th>\n",
" <th>u (1.0000, 0.9500)</th>\n",
" <th>u (1.0000, 0.9750)</th>\n",
" <th>u (1.0000, 1.0000)</th>\n",
" </tr>\n",
" <tr>\n",
" <th>time (ps)</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>10000.0</th>\n",
" <td>-22199.391617</td>\n",
" <td>-22191.776113</td>\n",
" <td>-22184.160538</td>\n",
" <td>-22176.545056</td>\n",
" <td>-22168.929507</td>\n",
" <td>-22161.313930</td>\n",
" <td>-22153.698400</td>\n",
" <td>-22146.082851</td>\n",
" <td>-22138.467348</td>\n",
" <td>-22130.851842</td>\n",
" <td>...</td>\n",
" <td>-21911.796545</td>\n",
" <td>-21911.834527</td>\n",
" <td>-21911.865430</td>\n",
" <td>-21911.889891</td>\n",
" <td>-21911.908433</td>\n",
" <td>-21911.921527</td>\n",
" <td>-21911.929674</td>\n",
" <td>-21911.933248</td>\n",
" <td>-21911.932635</td>\n",
" <td>-21911.928181</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10000.7</th>\n",
" <td>-22405.710643</td>\n",
" <td>-22397.861417</td>\n",
" <td>-22390.011930</td>\n",
" <td>-22382.162632</td>\n",
" <td>-22374.313147</td>\n",
" <td>-22366.463990</td>\n",
" <td>-22358.614574</td>\n",
" <td>-22350.765207</td>\n",
" <td>-22342.915841</td>\n",
" <td>-22335.066533</td>\n",
" <td>...</td>\n",
" <td>-22108.292055</td>\n",
" <td>-22108.330631</td>\n",
" <td>-22108.362076</td>\n",
" <td>-22108.387058</td>\n",
" <td>-22108.406073</td>\n",
" <td>-22108.419621</td>\n",
" <td>-22108.428191</td>\n",
" <td>-22108.432168</td>\n",
" <td>-22108.431908</td>\n",
" <td>-22108.427811</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10001.4</th>\n",
" <td>-22343.978497</td>\n",
" <td>-22336.101839</td>\n",
" <td>-22328.225015</td>\n",
" <td>-22320.348427</td>\n",
" <td>-22312.471723</td>\n",
" <td>-22304.595063</td>\n",
" <td>-22296.718240</td>\n",
" <td>-22288.841700</td>\n",
" <td>-22280.964970</td>\n",
" <td>-22273.088255</td>\n",
" <td>...</td>\n",
" <td>-22051.825281</td>\n",
" <td>-22051.868711</td>\n",
" <td>-22051.904254</td>\n",
" <td>-22051.932622</td>\n",
" <td>-22051.954458</td>\n",
" <td>-22051.970345</td>\n",
" <td>-22051.980813</td>\n",
" <td>-22051.986353</td>\n",
" <td>-22051.987374</td>\n",
" <td>-22051.984270</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10002.1</th>\n",
" <td>-21944.282395</td>\n",
" <td>-21936.340093</td>\n",
" <td>-21928.397980</td>\n",
" <td>-21920.455582</td>\n",
" <td>-21912.513517</td>\n",
" <td>-21904.571071</td>\n",
" <td>-21896.628792</td>\n",
" <td>-21888.686645</td>\n",
" <td>-21880.744332</td>\n",
" <td>-21872.802108</td>\n",
" <td>...</td>\n",
" <td>-21647.494692</td>\n",
" <td>-21647.546293</td>\n",
" <td>-21647.589319</td>\n",
" <td>-21647.624532</td>\n",
" <td>-21647.652567</td>\n",
" <td>-21647.674068</td>\n",
" <td>-21647.689556</td>\n",
" <td>-21647.699551</td>\n",
" <td>-21647.704474</td>\n",
" <td>-21647.704808</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10002.8</th>\n",
" <td>-22182.627170</td>\n",
" <td>-22174.900037</td>\n",
" <td>-22167.172927</td>\n",
" <td>-22159.445935</td>\n",
" <td>-22151.718707</td>\n",
" <td>-22143.991668</td>\n",
" <td>-22136.264557</td>\n",
" <td>-22128.537569</td>\n",
" <td>-22120.810551</td>\n",
" <td>-22113.083374</td>\n",
" <td>...</td>\n",
" <td>-21886.768817</td>\n",
" <td>-21886.794773</td>\n",
" <td>-21886.814831</td>\n",
" <td>-21886.829512</td>\n",
" <td>-21886.839219</td>\n",
" <td>-21886.844360</td>\n",
" <td>-21886.845353</td>\n",
" <td>-21886.842486</td>\n",
" <td>-21886.836092</td>\n",
" <td>-21886.826455</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10003.5</th>\n",
" <td>-22223.294027</td>\n",
" <td>-22215.384894</td>\n",
" <td>-22207.475880</td>\n",
" <td>-22199.566746</td>\n",
" <td>-22191.657613</td>\n",
" <td>-22183.748409</td>\n",
" <td>-22175.839310</td>\n",
" <td>-22167.930165</td>\n",
" <td>-22160.021151</td>\n",
" <td>-22152.111967</td>\n",
" <td>...</td>\n",
" <td>-21925.818559</td>\n",
" <td>-21925.854671</td>\n",
" <td>-21925.883680</td>\n",
" <td>-21925.906175</td>\n",
" <td>-21925.922703</td>\n",
" <td>-21925.933811</td>\n",
" <td>-21925.939921</td>\n",
" <td>-21925.941508</td>\n",
" <td>-21925.938901</td>\n",
" <td>-21925.932461</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10004.2</th>\n",
" <td>-22097.987728</td>\n",
" <td>-22090.388021</td>\n",
" <td>-22082.788077</td>\n",
" <td>-22075.188440</td>\n",
" <td>-22067.588379</td>\n",
" <td>-22059.988624</td>\n",
" <td>-22052.388820</td>\n",
" <td>-22044.789000</td>\n",
" <td>-22037.189125</td>\n",
" <td>-22029.589347</td>\n",
" <td>...</td>\n",
" <td>-21804.563315</td>\n",
" <td>-21804.574752</td>\n",
" <td>-21804.581480</td>\n",
" <td>-21804.583893</td>\n",
" <td>-21804.582329</td>\n",
" <td>-21804.577123</td>\n",
" <td>-21804.568572</td>\n",
" <td>-21804.556967</td>\n",
" <td>-21804.542500</td>\n",
" <td>-21804.525452</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10004.9</th>\n",
" <td>-22102.566233</td>\n",
" <td>-22094.977113</td>\n",
" <td>-22087.388205</td>\n",
" <td>-22079.799133</td>\n",
" <td>-22072.209964</td>\n",
" <td>-22064.621152</td>\n",
" <td>-22057.032056</td>\n",
" <td>-22049.443056</td>\n",
" <td>-22041.853990</td>\n",
" <td>-22034.264994</td>\n",
" <td>...</td>\n",
" <td>-21818.764055</td>\n",
" <td>-21818.807912</td>\n",
" <td>-21818.844021</td>\n",
" <td>-21818.873077</td>\n",
" <td>-21818.895668</td>\n",
" <td>-21818.912363</td>\n",
" <td>-21818.923661</td>\n",
" <td>-21818.930004</td>\n",
" <td>-21818.931828</td>\n",
" <td>-21818.929531</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10005.6</th>\n",
" <td>-22351.044873</td>\n",
" <td>-22343.769646</td>\n",
" <td>-22336.493732</td>\n",
" <td>-22329.218080</td>\n",
" <td>-22321.942568</td>\n",
" <td>-22314.666703</td>\n",
" <td>-22307.391098</td>\n",
" <td>-22300.115326</td>\n",
" <td>-22292.839977</td>\n",
" <td>-22285.564008</td>\n",
" <td>...</td>\n",
" <td>-22078.706819</td>\n",
" <td>-22078.747762</td>\n",
" <td>-22078.781434</td>\n",
" <td>-22078.808453</td>\n",
" <td>-22078.829434</td>\n",
" <td>-22078.844849</td>\n",
" <td>-22078.855219</td>\n",
" <td>-22078.860950</td>\n",
" <td>-22078.862420</td>\n",
" <td>-22078.860003</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10006.3</th>\n",
" <td>-22272.233429</td>\n",
" <td>-22264.958506</td>\n",
" <td>-22257.683419</td>\n",
" <td>-22250.408521</td>\n",
" <td>-22243.133456</td>\n",
" <td>-22235.858580</td>\n",
" <td>-22228.583543</td>\n",
" <td>-22221.308761</td>\n",
" <td>-22214.033695</td>\n",
" <td>-22206.758808</td>\n",
" <td>...</td>\n",
" <td>-21997.389800</td>\n",
" <td>-21997.428280</td>\n",
" <td>-21997.459752</td>\n",
" <td>-21997.484781</td>\n",
" <td>-21997.503916</td>\n",
" <td>-21997.517627</td>\n",
" <td>-21997.526387</td>\n",
" <td>-21997.530554</td>\n",
" <td>-21997.530554</td>\n",
" <td>-21997.526670</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10007.0</th>\n",
" <td>-22155.090089</td>\n",
" <td>-22147.095331</td>\n",
" <td>-22139.100787</td>\n",
" <td>-22131.106031</td>\n",
" <td>-22123.111390</td>\n",
" <td>-22115.116708</td>\n",
" <td>-22107.122161</td>\n",
" <td>-22099.127448</td>\n",
" <td>-22091.132808</td>\n",
" <td>-22083.138130</td>\n",
" <td>...</td>\n",
" <td>-21853.656130</td>\n",
" <td>-21853.698117</td>\n",
" <td>-21853.732453</td>\n",
" <td>-21853.759824</td>\n",
" <td>-21853.780806</td>\n",
" <td>-21853.795937</td>\n",
" <td>-21853.805695</td>\n",
" <td>-21853.810502</td>\n",
" <td>-21853.810808</td>\n",
" <td>-21853.806971</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10007.7</th>\n",
" <td>-21978.537667</td>\n",
" <td>-21970.477516</td>\n",
" <td>-21962.417105</td>\n",
" <td>-21954.356882</td>\n",
" <td>-21946.296424</td>\n",
" <td>-21938.236203</td>\n",
" <td>-21930.175906</td>\n",
" <td>-21922.115427</td>\n",
" <td>-21914.055110</td>\n",
" <td>-21905.994721</td>\n",
" <td>...</td>\n",
" <td>-21675.718493</td>\n",
" <td>-21675.762633</td>\n",
" <td>-21675.798955</td>\n",
" <td>-21675.828131</td>\n",
" <td>-21675.850769</td>\n",
" <td>-21675.867417</td>\n",
" <td>-21675.878618</td>\n",
" <td>-21675.884775</td>\n",
" <td>-21675.886335</td>\n",
" <td>-21675.883685</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10008.4</th>\n",
" <td>-22295.904796</td>\n",
" <td>-22288.172975</td>\n",
" <td>-22280.441580</td>\n",
" <td>-22272.710374</td>\n",
" <td>-22264.978931</td>\n",
" <td>-22257.247346</td>\n",
" <td>-22249.515835</td>\n",
" <td>-22241.784607</td>\n",
" <td>-22234.052910</td>\n",
" <td>-22226.321473</td>\n",
" <td>...</td>\n",
" <td>-22002.251730</td>\n",
" <td>-22002.289926</td>\n",
" <td>-22002.321088</td>\n",
" <td>-22002.345763</td>\n",
" <td>-22002.364495</td>\n",
" <td>-22002.377779</td>\n",
" <td>-22002.386066</td>\n",
" <td>-22002.389760</td>\n",
" <td>-22002.389217</td>\n",
" <td>-22002.384763</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10009.1</th>\n",
" <td>-22242.778847</td>\n",
" <td>-22235.979117</td>\n",
" <td>-22229.179127</td>\n",
" <td>-22222.379564</td>\n",
" <td>-22215.579502</td>\n",
" <td>-22208.779656</td>\n",
" <td>-22201.980136</td>\n",
" <td>-22195.180174</td>\n",
" <td>-22188.380203</td>\n",
" <td>-22181.580477</td>\n",
" <td>...</td>\n",
" <td>-21984.393768</td>\n",
" <td>-21984.421970</td>\n",
" <td>-21984.443945</td>\n",
" <td>-21984.460236</td>\n",
" <td>-21984.471297</td>\n",
" <td>-21984.477594</td>\n",
" <td>-21984.479491</td>\n",
" <td>-21984.477357</td>\n",
" <td>-21984.471511</td>\n",
" <td>-21984.462250</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10009.8</th>\n",
" <td>-22229.151450</td>\n",
" <td>-22222.028758</td>\n",
" <td>-22214.906161</td>\n",
" <td>-22207.783681</td>\n",
" <td>-22200.661096</td>\n",
" <td>-22193.538546</td>\n",
" <td>-22186.415996</td>\n",
" <td>-22179.293447</td>\n",
" <td>-22172.170743</td>\n",
" <td>-22165.048361</td>\n",
" <td>...</td>\n",
" <td>-21958.489261</td>\n",
" <td>-21958.522247</td>\n",
" <td>-21958.549006</td>\n",
" <td>-21958.570080</td>\n",
" <td>-21958.585925</td>\n",
" <td>-21958.597006</td>\n",
" <td>-21958.603683</td>\n",
" <td>-21958.606337</td>\n",
" <td>-21958.605293</td>\n",
" <td>-21958.600843</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10010.5</th>\n",
" <td>-22214.452819</td>\n",
" <td>-22206.609412</td>\n",
" <td>-22198.765887</td>\n",
" <td>-22190.922433</td>\n",
" <td>-22183.078813</td>\n",
" <td>-22175.235193</td>\n",
" <td>-22167.391879</td>\n",
" <td>-22159.548461</td>\n",
" <td>-22151.704794</td>\n",
" <td>-22143.861224</td>\n",
" <td>...</td>\n",
" <td>-21922.136637</td>\n",
" <td>-21922.190461</td>\n",
" <td>-21922.235951</td>\n",
" <td>-21922.273817</td>\n",
" <td>-21922.304743</td>\n",
" <td>-21922.329344</td>\n",
" <td>-21922.348099</td>\n",
" <td>-21922.361550</td>\n",
" <td>-21922.370147</td>\n",
" <td>-21922.374268</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10011.2</th>\n",
" <td>-22302.240720</td>\n",
" <td>-22294.174461</td>\n",
" <td>-22286.107918</td>\n",
" <td>-22278.041659</td>\n",
" <td>-22269.975305</td>\n",
" <td>-22261.909261</td>\n",
" <td>-22253.843024</td>\n",
" <td>-22245.776788</td>\n",
" <td>-22237.710388</td>\n",
" <td>-22229.644109</td>\n",
" <td>...</td>\n",
" <td>-21994.190462</td>\n",
" <td>-21994.226098</td>\n",
" <td>-21994.255060</td>\n",
" <td>-21994.277935</td>\n",
" <td>-21994.295196</td>\n",
" <td>-21994.307297</td>\n",
" <td>-21994.314661</td>\n",
" <td>-21994.317671</td>\n",
" <td>-21994.316674</td>\n",
" <td>-21994.312011</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10011.9</th>\n",
" <td>-22054.220709</td>\n",
" <td>-22046.509683</td>\n",
" <td>-22038.798587</td>\n",
" <td>-22031.087846</td>\n",
" <td>-22023.376892</td>\n",
" <td>-22015.665938</td>\n",
" <td>-22007.954878</td>\n",
" <td>-22000.244026</td>\n",
" <td>-21992.533148</td>\n",
" <td>-21984.822048</td>\n",
" <td>...</td>\n",
" <td>-21762.182957</td>\n",
" <td>-21762.216629</td>\n",
" <td>-21762.243652</td>\n",
" <td>-21762.264583</td>\n",
" <td>-21762.279974</td>\n",
" <td>-21762.290251</td>\n",
" <td>-21762.295889</td>\n",
" <td>-21762.297239</td>\n",
" <td>-21762.294682</td>\n",
" <td>-21762.288525</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10012.6</th>\n",
" <td>-21961.466954</td>\n",
" <td>-21953.024539</td>\n",
" <td>-21944.582054</td>\n",
" <td>-21936.139591</td>\n",
" <td>-21927.697344</td>\n",
" <td>-21919.254880</td>\n",
" <td>-21910.812300</td>\n",
" <td>-21902.369983</td>\n",
" <td>-21893.927391</td>\n",
" <td>-21885.484911</td>\n",
" <td>...</td>\n",
" <td>-21647.317377</td>\n",
" <td>-21647.368904</td>\n",
" <td>-21647.412167</td>\n",
" <td>-21647.447880</td>\n",
" <td>-21647.476746</td>\n",
" <td>-21647.499310</td>\n",
" <td>-21647.516172</td>\n",
" <td>-21647.527799</td>\n",
" <td>-21647.534620</td>\n",
" <td>-21647.537084</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10013.3</th>\n",
" <td>-22106.961216</td>\n",
" <td>-22100.503421</td>\n",
" <td>-22094.045579</td>\n",
" <td>-22087.587808</td>\n",
" <td>-22081.129931</td>\n",
" <td>-22074.672159</td>\n",
" <td>-22068.214364</td>\n",
" <td>-22061.756558</td>\n",
" <td>-22055.298658</td>\n",
" <td>-22048.840909</td>\n",
" <td>...</td>\n",
" <td>-21855.365778</td>\n",
" <td>-21855.370511</td>\n",
" <td>-21855.371624</td>\n",
" <td>-21855.369374</td>\n",
" <td>-21855.364070</td>\n",
" <td>-21855.355900</td>\n",
" <td>-21855.345149</td>\n",
" <td>-21855.331962</td>\n",
" <td>-21855.316567</td>\n",
" <td>-21855.299116</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10014.0</th>\n",
" <td>-22266.168469</td>\n",
" <td>-22258.655356</td>\n",
" <td>-22251.141793</td>\n",
" <td>-22243.628609</td>\n",
" <td>-22236.115401</td>\n",
" <td>-22228.602265</td>\n",
" <td>-22221.089104</td>\n",
" <td>-22213.575791</td>\n",
" <td>-22206.062582</td>\n",
" <td>-22198.549233</td>\n",
" <td>...</td>\n",
" <td>-21982.545265</td>\n",
" <td>-21982.584668</td>\n",
" <td>-21982.617017</td>\n",
" <td>-21982.642922</td>\n",
" <td>-21982.662930</td>\n",
" <td>-21982.677541</td>\n",
" <td>-21982.687206</td>\n",
" <td>-21982.692343</td>\n",
" <td>-21982.693313</td>\n",
" <td>-21982.690449</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10014.7</th>\n",
" <td>-21951.521005</td>\n",
" <td>-21944.175363</td>\n",
" <td>-21936.829767</td>\n",
" <td>-21929.484266</td>\n",
" <td>-21922.138624</td>\n",
" <td>-21914.793098</td>\n",
" <td>-21907.447478</td>\n",
" <td>-21900.101933</td>\n",
" <td>-21892.756407</td>\n",
" <td>-21885.410881</td>\n",
" <td>...</td>\n",
" <td>-21668.256554</td>\n",
" <td>-21668.278032</td>\n",
" <td>-21668.294277</td>\n",
" <td>-21668.305691</td>\n",
" <td>-21668.312702</td>\n",
" <td>-21668.315639</td>\n",
" <td>-21668.314809</td>\n",
" <td>-21668.310521</td>\n",
" <td>-21668.303088</td>\n",
" <td>-21668.292690</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10015.4</th>\n",
" <td>-22253.243560</td>\n",
" <td>-22245.791198</td>\n",
" <td>-22238.338931</td>\n",
" <td>-22230.886712</td>\n",
" <td>-22223.434338</td>\n",
" <td>-22215.981953</td>\n",
" <td>-22208.529722</td>\n",
" <td>-22201.077359</td>\n",
" <td>-22193.624973</td>\n",
" <td>-22186.172758</td>\n",
" <td>...</td>\n",
" <td>-21972.302154</td>\n",
" <td>-21972.340447</td>\n",
" <td>-21972.371702</td>\n",
" <td>-21972.396545</td>\n",
" <td>-21972.415513</td>\n",
" <td>-21972.429103</td>\n",
" <td>-21972.437794</td>\n",
" <td>-21972.441961</td>\n",
" <td>-21972.442011</td>\n",
" <td>-21972.438267</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10016.1</th>\n",
" <td>-22405.455425</td>\n",
" <td>-22397.983509</td>\n",
" <td>-22390.511617</td>\n",
" <td>-22383.039700</td>\n",
" <td>-22375.567904</td>\n",
" <td>-22368.095690</td>\n",
" <td>-22360.623777</td>\n",
" <td>-22353.151953</td>\n",
" <td>-22345.679920</td>\n",
" <td>-22338.207957</td>\n",
" <td>...</td>\n",
" <td>-22118.824700</td>\n",
" <td>-22118.848572</td>\n",
" <td>-22118.866900</td>\n",
" <td>-22118.880138</td>\n",
" <td>-22118.888685</td>\n",
" <td>-22118.892972</td>\n",
" <td>-22118.893302</td>\n",
" <td>-22118.889989</td>\n",
" <td>-22118.883382</td>\n",
" <td>-22118.873671</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10016.8</th>\n",
" <td>-22107.415630</td>\n",
" <td>-22099.326816</td>\n",
" <td>-22091.237457</td>\n",
" <td>-22083.148618</td>\n",
" <td>-22075.059473</td>\n",
" <td>-22066.970538</td>\n",
" <td>-22058.881442</td>\n",
" <td>-22050.792346</td>\n",
" <td>-22042.703339</td>\n",
" <td>-22034.614359</td>\n",
" <td>...</td>\n",
" <td>-21795.822184</td>\n",
" <td>-21795.847449</td>\n",
" <td>-21795.867058</td>\n",
" <td>-21795.881479</td>\n",
" <td>-21795.891116</td>\n",
" <td>-21795.896350</td>\n",
" <td>-21795.897556</td>\n",
" <td>-21795.895070</td>\n",
" <td>-21795.889126</td>\n",
" <td>-21795.880059</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10017.5</th>\n",
" <td>-22040.484562</td>\n",
" <td>-22032.930660</td>\n",
" <td>-22025.376663</td>\n",
" <td>-22017.822667</td>\n",
" <td>-22010.268764</td>\n",
" <td>-22002.714744</td>\n",
" <td>-21995.160807</td>\n",
" <td>-21987.606880</td>\n",
" <td>-21980.052977</td>\n",
" <td>-21972.498996</td>\n",
" <td>...</td>\n",
" <td>-21747.723525</td>\n",
" <td>-21747.737993</td>\n",
" <td>-21747.747537</td>\n",
" <td>-21747.752581</td>\n",
" <td>-21747.753458</td>\n",
" <td>-21747.750497</td>\n",
" <td>-21747.743983</td>\n",
" <td>-21747.734253</td>\n",
" <td>-21747.721488</td>\n",
" <td>-21747.705954</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10018.2</th>\n",
" <td>-22168.509002</td>\n",
" <td>-22161.112093</td>\n",
" <td>-22153.715327</td>\n",
" <td>-22146.318346</td>\n",
" <td>-22138.921521</td>\n",
" <td>-22131.524432</td>\n",
" <td>-22124.127608</td>\n",
" <td>-22116.730648</td>\n",
" <td>-22109.333778</td>\n",
" <td>-22101.936771</td>\n",
" <td>...</td>\n",
" <td>-21894.775809</td>\n",
" <td>-21894.823073</td>\n",
" <td>-21894.862262</td>\n",
" <td>-21894.894115</td>\n",
" <td>-21894.919240</td>\n",
" <td>-21894.938278</td>\n",
" <td>-21894.951702</td>\n",
" <td>-21894.960039</td>\n",
" <td>-21894.963686</td>\n",
" <td>-21894.963070</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10018.9</th>\n",
" <td>-22002.349613</td>\n",
" <td>-21995.731419</td>\n",
" <td>-21989.113130</td>\n",
" <td>-21982.494770</td>\n",
" <td>-21975.876481</td>\n",
" <td>-21969.258193</td>\n",
" <td>-21962.639738</td>\n",
" <td>-21956.021460</td>\n",
" <td>-21949.403113</td>\n",
" <td>-21942.784881</td>\n",
" <td>...</td>\n",
" <td>-21750.512874</td>\n",
" <td>-21750.542732</td>\n",
" <td>-21750.566674</td>\n",
" <td>-21750.585169</td>\n",
" <td>-21750.598690</td>\n",
" <td>-21750.607664</td>\n",
" <td>-21750.612401</td>\n",
" <td>-21750.613301</td>\n",
" <td>-21750.610624</td>\n",
" <td>-21750.604703</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10019.6</th>\n",
" <td>-22172.756593</td>\n",
" <td>-22165.247221</td>\n",
" <td>-22157.737872</td>\n",
" <td>-22150.228665</td>\n",
" <td>-22142.719316</td>\n",
" <td>-22135.209851</td>\n",
" <td>-22127.700490</td>\n",
" <td>-22120.191320</td>\n",
" <td>-22112.681921</td>\n",
" <td>-22105.172654</td>\n",
" <td>...</td>\n",
" <td>-21893.285656</td>\n",
" <td>-21893.331095</td>\n",
" <td>-21893.368748</td>\n",
" <td>-21893.399294</td>\n",
" <td>-21893.423329</td>\n",
" <td>-21893.441447</td>\n",
" <td>-21893.454138</td>\n",
" <td>-21893.461905</td>\n",
" <td>-21893.465149</td>\n",
" <td>-21893.464248</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10020.3</th>\n",
" <td>-22076.993068</td>\n",
" <td>-22068.984384</td>\n",
" <td>-22060.975226</td>\n",
" <td>-22052.966259</td>\n",
" <td>-22044.957291</td>\n",
" <td>-22036.948489</td>\n",
" <td>-22028.939405</td>\n",
" <td>-22020.930534</td>\n",
" <td>-22012.921644</td>\n",
" <td>-22004.912774</td>\n",
" <td>...</td>\n",
" <td>-21769.679330</td>\n",
" <td>-21769.701022</td>\n",
" <td>-21769.717123</td>\n",
" <td>-21769.728138</td>\n",
" <td>-21769.734504</td>\n",
" <td>-21769.736588</td>\n",
" <td>-21769.734741</td>\n",
" <td>-21769.729298</td>\n",
" <td>-21769.720557</td>\n",
" <td>-21769.708789</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49979.6</th>\n",
" <td>-22042.547165</td>\n",
" <td>-22035.365736</td>\n",
" <td>-22028.184592</td>\n",
" <td>-22021.003281</td>\n",
" <td>-22013.821948</td>\n",
" <td>-22006.640757</td>\n",
" <td>-21999.459350</td>\n",
" <td>-21992.278100</td>\n",
" <td>-21985.096863</td>\n",
" <td>-21977.915637</td>\n",
" <td>...</td>\n",
" <td>-21770.646030</td>\n",
" <td>-21770.682379</td>\n",
" <td>-21770.712005</td>\n",
" <td>-21770.735470</td>\n",
" <td>-21770.753278</td>\n",
" <td>-21770.765926</td>\n",
" <td>-21770.773786</td>\n",
" <td>-21770.777313</td>\n",
" <td>-21770.776793</td>\n",
" <td>-21770.772626</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49980.3</th>\n",
" <td>-22005.934291</td>\n",
" <td>-21998.461134</td>\n",
" <td>-21990.988189</td>\n",
" <td>-21983.515055</td>\n",
" <td>-21976.041898</td>\n",
" <td>-21968.568977</td>\n",
" <td>-21961.095842</td>\n",
" <td>-21953.622719</td>\n",
" <td>-21946.149646</td>\n",
" <td>-21938.676534</td>\n",
" <td>...</td>\n",
" <td>-21720.511183</td>\n",
" <td>-21720.540192</td>\n",
" <td>-21720.563373</td>\n",
" <td>-21720.581228</td>\n",
" <td>-21720.594182</td>\n",
" <td>-21720.602636</td>\n",
" <td>-21720.606970</td>\n",
" <td>-21720.607513</td>\n",
" <td>-21720.604576</td>\n",
" <td>-21720.598446</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49981.0</th>\n",
" <td>-22280.331377</td>\n",
" <td>-22272.695456</td>\n",
" <td>-22265.059652</td>\n",
" <td>-22257.423707</td>\n",
" <td>-22249.787784</td>\n",
" <td>-22242.152029</td>\n",
" <td>-22234.516154</td>\n",
" <td>-22226.880151</td>\n",
" <td>-22219.244249</td>\n",
" <td>-22211.608425</td>\n",
" <td>...</td>\n",
" <td>-21988.184862</td>\n",
" <td>-21988.212168</td>\n",
" <td>-21988.233646</td>\n",
" <td>-21988.249794</td>\n",
" <td>-21988.261041</td>\n",
" <td>-21988.267815</td>\n",
" <td>-21988.270469</td>\n",
" <td>-21988.269355</td>\n",
" <td>-21988.264735</td>\n",
" <td>-21988.256944</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49981.7</th>\n",
" <td>-22239.683209</td>\n",
" <td>-22232.461937</td>\n",
" <td>-22225.240145</td>\n",
" <td>-22218.018848</td>\n",
" <td>-22210.797317</td>\n",
" <td>-22203.575760</td>\n",
" <td>-22196.354393</td>\n",
" <td>-22189.132976</td>\n",
" <td>-22181.911436</td>\n",
" <td>-22174.690054</td>\n",
" <td>...</td>\n",
" <td>-21966.926392</td>\n",
" <td>-21966.959572</td>\n",
" <td>-21966.986423</td>\n",
" <td>-21967.007498</td>\n",
" <td>-21967.023293</td>\n",
" <td>-21967.034257</td>\n",
" <td>-21967.040817</td>\n",
" <td>-21967.043328</td>\n",
" <td>-21967.042140</td>\n",
" <td>-21967.037547</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49982.4</th>\n",
" <td>-22270.316997</td>\n",
" <td>-22262.584152</td>\n",
" <td>-22254.851212</td>\n",
" <td>-22247.118178</td>\n",
" <td>-22239.385285</td>\n",
" <td>-22231.652371</td>\n",
" <td>-22223.919490</td>\n",
" <td>-22216.186625</td>\n",
" <td>-22208.453562</td>\n",
" <td>-22200.720682</td>\n",
" <td>...</td>\n",
" <td>-21985.870696</td>\n",
" <td>-21985.925276</td>\n",
" <td>-21985.971286</td>\n",
" <td>-21986.009459</td>\n",
" <td>-21986.040551</td>\n",
" <td>-21986.065134</td>\n",
" <td>-21986.083791</td>\n",
" <td>-21986.097076</td>\n",
" <td>-21986.105413</td>\n",
" <td>-21986.109223</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49983.1</th>\n",
" <td>-22313.790089</td>\n",
" <td>-22306.609879</td>\n",
" <td>-22299.429502</td>\n",
" <td>-22292.249103</td>\n",
" <td>-22285.068797</td>\n",
" <td>-22277.888385</td>\n",
" <td>-22270.708129</td>\n",
" <td>-22263.527706</td>\n",
" <td>-22256.347400</td>\n",
" <td>-22249.166942</td>\n",
" <td>...</td>\n",
" <td>-22041.215492</td>\n",
" <td>-22041.250681</td>\n",
" <td>-22041.279643</td>\n",
" <td>-22041.302871</td>\n",
" <td>-22041.320870</td>\n",
" <td>-22041.334057</td>\n",
" <td>-22041.342845</td>\n",
" <td>-22041.347605</td>\n",
" <td>-22041.348645</td>\n",
" <td>-22041.346255</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49983.8</th>\n",
" <td>-22169.211016</td>\n",
" <td>-22161.570541</td>\n",
" <td>-22153.930185</td>\n",
" <td>-22146.289710</td>\n",
" <td>-22138.649141</td>\n",
" <td>-22131.008689</td>\n",
" <td>-22123.368216</td>\n",
" <td>-22115.727930</td>\n",
" <td>-22108.087337</td>\n",
" <td>-22100.446985</td>\n",
" <td>...</td>\n",
" <td>-21884.291776</td>\n",
" <td>-21884.338282</td>\n",
" <td>-21884.377235</td>\n",
" <td>-21884.409321</td>\n",
" <td>-21884.435109</td>\n",
" <td>-21884.455191</td>\n",
" <td>-21884.470039</td>\n",
" <td>-21884.480080</td>\n",
" <td>-21884.485764</td>\n",
" <td>-21884.487420</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49984.5</th>\n",
" <td>-22072.178828</td>\n",
" <td>-22064.792445</td>\n",
" <td>-22057.406180</td>\n",
" <td>-22050.020058</td>\n",
" <td>-22042.633627</td>\n",
" <td>-22035.247316</td>\n",
" <td>-22027.861193</td>\n",
" <td>-22020.474740</td>\n",
" <td>-22013.088415</td>\n",
" <td>-22005.702093</td>\n",
" <td>...</td>\n",
" <td>-21796.264100</td>\n",
" <td>-21796.307340</td>\n",
" <td>-21796.343049</td>\n",
" <td>-21796.371891</td>\n",
" <td>-21796.394459</td>\n",
" <td>-21796.411298</td>\n",
" <td>-21796.422875</td>\n",
" <td>-21796.429672</td>\n",
" <td>-21796.432039</td>\n",
" <td>-21796.430382</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49985.2</th>\n",
" <td>-22154.344518</td>\n",
" <td>-22146.770898</td>\n",
" <td>-22139.197539</td>\n",
" <td>-22131.624370</td>\n",
" <td>-22124.050774</td>\n",
" <td>-22116.477274</td>\n",
" <td>-22108.904105</td>\n",
" <td>-22101.330554</td>\n",
" <td>-22093.757290</td>\n",
" <td>-22086.183778</td>\n",
" <td>...</td>\n",
" <td>-21867.581920</td>\n",
" <td>-21867.615095</td>\n",
" <td>-21867.641617</td>\n",
" <td>-21867.661982</td>\n",
" <td>-21867.676783</td>\n",
" <td>-21867.686444</td>\n",
" <td>-21867.691441</td>\n",
" <td>-21867.692105</td>\n",
" <td>-21867.688838</td>\n",
" <td>-21867.681971</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49985.9</th>\n",
" <td>-22200.261958</td>\n",
" <td>-22192.569755</td>\n",
" <td>-22184.877457</td>\n",
" <td>-22177.185231</td>\n",
" <td>-22169.492885</td>\n",
" <td>-22161.800706</td>\n",
" <td>-22154.108363</td>\n",
" <td>-22146.416161</td>\n",
" <td>-22138.724003</td>\n",
" <td>-22131.031728</td>\n",
" <td>...</td>\n",
" <td>-21910.292951</td>\n",
" <td>-21910.330864</td>\n",
" <td>-21910.361789</td>\n",
" <td>-21910.386344</td>\n",
" <td>-21910.405076</td>\n",
" <td>-21910.418480</td>\n",
" <td>-21910.427004</td>\n",
" <td>-21910.431078</td>\n",
" <td>-21910.431078</td>\n",
" <td>-21910.427311</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49986.6</th>\n",
" <td>-22346.553100</td>\n",
" <td>-22338.770920</td>\n",
" <td>-22330.989214</td>\n",
" <td>-22323.207226</td>\n",
" <td>-22315.425353</td>\n",
" <td>-22307.643504</td>\n",
" <td>-22299.861588</td>\n",
" <td>-22292.079679</td>\n",
" <td>-22284.297619</td>\n",
" <td>-22276.515799</td>\n",
" <td>...</td>\n",
" <td>-22054.446511</td>\n",
" <td>-22054.494488</td>\n",
" <td>-22054.534837</td>\n",
" <td>-22054.568203</td>\n",
" <td>-22054.595199</td>\n",
" <td>-22054.616367</td>\n",
" <td>-22054.632235</td>\n",
" <td>-22054.643176</td>\n",
" <td>-22054.649663</td>\n",
" <td>-22054.652053</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49987.3</th>\n",
" <td>-22127.646886</td>\n",
" <td>-22120.795646</td>\n",
" <td>-22113.943908</td>\n",
" <td>-22107.092383</td>\n",
" <td>-22100.240883</td>\n",
" <td>-22093.389453</td>\n",
" <td>-22086.537857</td>\n",
" <td>-22079.686333</td>\n",
" <td>-22072.834975</td>\n",
" <td>-22065.983400</td>\n",
" <td>...</td>\n",
" <td>-21863.222827</td>\n",
" <td>-21863.234121</td>\n",
" <td>-21863.241085</td>\n",
" <td>-21863.244018</td>\n",
" <td>-21863.243308</td>\n",
" <td>-21863.239238</td>\n",
" <td>-21863.232084</td>\n",
" <td>-21863.222067</td>\n",
" <td>-21863.209446</td>\n",
" <td>-21863.194412</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49988.0</th>\n",
" <td>-22195.405974</td>\n",
" <td>-22188.504254</td>\n",
" <td>-22181.602675</td>\n",
" <td>-22174.700812</td>\n",
" <td>-22167.799069</td>\n",
" <td>-22160.897325</td>\n",
" <td>-22153.995487</td>\n",
" <td>-22147.093976</td>\n",
" <td>-22140.192200</td>\n",
" <td>-22133.290371</td>\n",
" <td>...</td>\n",
" <td>-21946.845974</td>\n",
" <td>-21946.897905</td>\n",
" <td>-21946.941168</td>\n",
" <td>-21946.976640</td>\n",
" <td>-21947.005009</td>\n",
" <td>-21947.026910</td>\n",
" <td>-21947.042969</td>\n",
" <td>-21947.053669</td>\n",
" <td>-21947.059520</td>\n",
" <td>-21947.060940</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49988.7</th>\n",
" <td>-22216.950342</td>\n",
" <td>-22209.377024</td>\n",
" <td>-22201.803943</td>\n",
" <td>-22194.230768</td>\n",
" <td>-22186.657592</td>\n",
" <td>-22179.084346</td>\n",
" <td>-22171.511063</td>\n",
" <td>-22163.938056</td>\n",
" <td>-22156.364831</td>\n",
" <td>-22148.791703</td>\n",
" <td>...</td>\n",
" <td>-21934.234041</td>\n",
" <td>-21934.283341</td>\n",
" <td>-21934.324757</td>\n",
" <td>-21934.359000</td>\n",
" <td>-21934.386682</td>\n",
" <td>-21934.408351</td>\n",
" <td>-21934.424545</td>\n",
" <td>-21934.435722</td>\n",
" <td>-21934.442283</td>\n",
" <td>-21934.444650</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49989.4</th>\n",
" <td>-21938.757107</td>\n",
" <td>-21931.133758</td>\n",
" <td>-21923.510196</td>\n",
" <td>-21915.886776</td>\n",
" <td>-21908.263238</td>\n",
" <td>-21900.639770</td>\n",
" <td>-21893.016375</td>\n",
" <td>-21885.392977</td>\n",
" <td>-21877.769490</td>\n",
" <td>-21870.145999</td>\n",
" <td>...</td>\n",
" <td>-21648.372349</td>\n",
" <td>-21648.403841</td>\n",
" <td>-21648.429203</td>\n",
" <td>-21648.448927</td>\n",
" <td>-21648.463492</td>\n",
" <td>-21648.473343</td>\n",
" <td>-21648.478860</td>\n",
" <td>-21648.480423</td>\n",
" <td>-21648.478316</td>\n",
" <td>-21648.472869</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49990.1</th>\n",
" <td>-22096.579347</td>\n",
" <td>-22088.967766</td>\n",
" <td>-22081.356091</td>\n",
" <td>-22073.744487</td>\n",
" <td>-22066.132765</td>\n",
" <td>-22058.521137</td>\n",
" <td>-22050.909460</td>\n",
" <td>-22043.297861</td>\n",
" <td>-22035.685970</td>\n",
" <td>-22028.074417</td>\n",
" <td>...</td>\n",
" <td>-21805.977063</td>\n",
" <td>-21806.013339</td>\n",
" <td>-21806.043011</td>\n",
" <td>-21806.066596</td>\n",
" <td>-21806.084571</td>\n",
" <td>-21806.097429</td>\n",
" <td>-21806.105526</td>\n",
" <td>-21806.109293</td>\n",
" <td>-21806.109056</td>\n",
" <td>-21806.105099</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49990.8</th>\n",
" <td>-22265.332256</td>\n",
" <td>-22257.456135</td>\n",
" <td>-22249.580110</td>\n",
" <td>-22241.704014</td>\n",
" <td>-22233.827965</td>\n",
" <td>-22225.951938</td>\n",
" <td>-22218.075960</td>\n",
" <td>-22210.199913</td>\n",
" <td>-22202.323935</td>\n",
" <td>-22194.447908</td>\n",
" <td>...</td>\n",
" <td>-21969.938604</td>\n",
" <td>-21969.983570</td>\n",
" <td>-21970.021010</td>\n",
" <td>-21970.051532</td>\n",
" <td>-21970.075757</td>\n",
" <td>-21970.094205</td>\n",
" <td>-21970.107396</td>\n",
" <td>-21970.115730</td>\n",
" <td>-21970.119637</td>\n",
" <td>-21970.119470</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49991.5</th>\n",
" <td>-22480.361775</td>\n",
" <td>-22472.739107</td>\n",
" <td>-22465.116533</td>\n",
" <td>-22457.494194</td>\n",
" <td>-22449.871527</td>\n",
" <td>-22442.249024</td>\n",
" <td>-22434.626352</td>\n",
" <td>-22427.003827</td>\n",
" <td>-22419.381493</td>\n",
" <td>-22411.758937</td>\n",
" <td>...</td>\n",
" <td>-22198.159236</td>\n",
" <td>-22198.212800</td>\n",
" <td>-22198.257817</td>\n",
" <td>-22198.295067</td>\n",
" <td>-22198.325236</td>\n",
" <td>-22198.348914</td>\n",
" <td>-22198.366699</td>\n",
" <td>-22198.379059</td>\n",
" <td>-22198.386474</td>\n",
" <td>-22198.389383</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49992.2</th>\n",
" <td>-22211.660400</td>\n",
" <td>-22203.324546</td>\n",
" <td>-22194.988502</td>\n",
" <td>-22186.652341</td>\n",
" <td>-22178.316391</td>\n",
" <td>-22169.980321</td>\n",
" <td>-22161.644306</td>\n",
" <td>-22153.308162</td>\n",
" <td>-22144.972120</td>\n",
" <td>-22136.636054</td>\n",
" <td>...</td>\n",
" <td>-21901.953974</td>\n",
" <td>-21901.998991</td>\n",
" <td>-21902.036027</td>\n",
" <td>-21902.065769</td>\n",
" <td>-21902.088928</td>\n",
" <td>-21902.106049</td>\n",
" <td>-21902.117677</td>\n",
" <td>-21902.124261</td>\n",
" <td>-21902.126297</td>\n",
" <td>-21902.124117</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49992.9</th>\n",
" <td>-22222.411510</td>\n",
" <td>-22214.789039</td>\n",
" <td>-22207.166662</td>\n",
" <td>-22199.544145</td>\n",
" <td>-22191.921839</td>\n",
" <td>-22184.299274</td>\n",
" <td>-22176.676826</td>\n",
" <td>-22169.054382</td>\n",
" <td>-22161.431989</td>\n",
" <td>-22153.809519</td>\n",
" <td>...</td>\n",
" <td>-21937.335010</td>\n",
" <td>-21937.382134</td>\n",
" <td>-21937.421440</td>\n",
" <td>-21937.453622</td>\n",
" <td>-21937.479267</td>\n",
" <td>-21937.498945</td>\n",
" <td>-21937.513176</td>\n",
" <td>-21937.522391</td>\n",
" <td>-21937.527031</td>\n",
" <td>-21937.527458</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49993.6</th>\n",
" <td>-22120.767466</td>\n",
" <td>-22112.942877</td>\n",
" <td>-22105.118431</td>\n",
" <td>-22097.293914</td>\n",
" <td>-22089.469443</td>\n",
" <td>-22081.644811</td>\n",
" <td>-22073.820671</td>\n",
" <td>-22065.995704</td>\n",
" <td>-22058.171494</td>\n",
" <td>-22050.346695</td>\n",
" <td>...</td>\n",
" <td>-21823.203434</td>\n",
" <td>-21823.242410</td>\n",
" <td>-21823.274472</td>\n",
" <td>-21823.300168</td>\n",
" <td>-21823.320036</td>\n",
" <td>-21823.334550</td>\n",
" <td>-21823.344141</td>\n",
" <td>-21823.349208</td>\n",
" <td>-21823.350131</td>\n",
" <td>-21823.347245</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49994.3</th>\n",
" <td>-22171.823212</td>\n",
" <td>-22164.350878</td>\n",
" <td>-22156.878046</td>\n",
" <td>-22149.405521</td>\n",
" <td>-22141.933093</td>\n",
" <td>-22134.460710</td>\n",
" <td>-22126.987830</td>\n",
" <td>-22119.515315</td>\n",
" <td>-22112.042584</td>\n",
" <td>-22104.570225</td>\n",
" <td>...</td>\n",
" <td>-21889.635641</td>\n",
" <td>-21889.674761</td>\n",
" <td>-21889.706846</td>\n",
" <td>-21889.732492</td>\n",
" <td>-21889.752243</td>\n",
" <td>-21889.766591</td>\n",
" <td>-21889.775945</td>\n",
" <td>-21889.780752</td>\n",
" <td>-21889.781345</td>\n",
" <td>-21889.778102</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49995.0</th>\n",
" <td>-22106.853494</td>\n",
" <td>-22099.197950</td>\n",
" <td>-22091.542927</td>\n",
" <td>-22083.887691</td>\n",
" <td>-22076.232691</td>\n",
" <td>-22068.577480</td>\n",
" <td>-22060.922197</td>\n",
" <td>-22053.267031</td>\n",
" <td>-22045.611769</td>\n",
" <td>-22037.956662</td>\n",
" <td>...</td>\n",
" <td>-21813.317336</td>\n",
" <td>-21813.339525</td>\n",
" <td>-21813.356029</td>\n",
" <td>-21813.367277</td>\n",
" <td>-21813.373740</td>\n",
" <td>-21813.375777</td>\n",
" <td>-21813.373787</td>\n",
" <td>-21813.368056</td>\n",
" <td>-21813.358892</td>\n",
" <td>-21813.346578</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49995.7</th>\n",
" <td>-22215.938950</td>\n",
" <td>-22207.997560</td>\n",
" <td>-22200.055934</td>\n",
" <td>-22192.114734</td>\n",
" <td>-22184.173038</td>\n",
" <td>-22176.231955</td>\n",
" <td>-22168.289925</td>\n",
" <td>-22160.348372</td>\n",
" <td>-22152.407055</td>\n",
" <td>-22144.465394</td>\n",
" <td>...</td>\n",
" <td>-21915.285534</td>\n",
" <td>-21915.326621</td>\n",
" <td>-21915.360580</td>\n",
" <td>-21915.388025</td>\n",
" <td>-21915.409477</td>\n",
" <td>-21915.425438</td>\n",
" <td>-21915.436379</td>\n",
" <td>-21915.442703</td>\n",
" <td>-21915.444786</td>\n",
" <td>-21915.442963</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49996.4</th>\n",
" <td>-22000.265188</td>\n",
" <td>-21992.440111</td>\n",
" <td>-21984.615035</td>\n",
" <td>-21976.790006</td>\n",
" <td>-21968.964999</td>\n",
" <td>-21961.140091</td>\n",
" <td>-21953.314919</td>\n",
" <td>-21945.490053</td>\n",
" <td>-21937.664726</td>\n",
" <td>-21929.839767</td>\n",
" <td>...</td>\n",
" <td>-21704.934690</td>\n",
" <td>-21704.981057</td>\n",
" <td>-21705.019986</td>\n",
" <td>-21705.052072</td>\n",
" <td>-21705.077907</td>\n",
" <td>-21705.098012</td>\n",
" <td>-21705.112860</td>\n",
" <td>-21705.122900</td>\n",
" <td>-21705.128511</td>\n",
" <td>-21705.130051</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49997.1</th>\n",
" <td>-22251.092549</td>\n",
" <td>-22244.023808</td>\n",
" <td>-22236.955043</td>\n",
" <td>-22229.886326</td>\n",
" <td>-22222.817702</td>\n",
" <td>-22215.748879</td>\n",
" <td>-22208.680162</td>\n",
" <td>-22201.611550</td>\n",
" <td>-22194.543031</td>\n",
" <td>-22187.474185</td>\n",
" <td>...</td>\n",
" <td>-21980.046956</td>\n",
" <td>-21980.067938</td>\n",
" <td>-21980.083542</td>\n",
" <td>-21980.094219</td>\n",
" <td>-21980.100330</td>\n",
" <td>-21980.102297</td>\n",
" <td>-21980.100427</td>\n",
" <td>-21980.095026</td>\n",
" <td>-21980.086382</td>\n",
" <td>-21980.074778</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49997.8</th>\n",
" <td>-22070.838120</td>\n",
" <td>-22063.360263</td>\n",
" <td>-22055.882359</td>\n",
" <td>-22048.404241</td>\n",
" <td>-22040.926266</td>\n",
" <td>-22033.448241</td>\n",
" <td>-22025.970267</td>\n",
" <td>-22018.492457</td>\n",
" <td>-22011.014577</td>\n",
" <td>-22003.536744</td>\n",
" <td>...</td>\n",
" <td>-21788.353767</td>\n",
" <td>-21788.389333</td>\n",
" <td>-21788.417845</td>\n",
" <td>-21788.439913</td>\n",
" <td>-21788.456041</td>\n",
" <td>-21788.466769</td>\n",
" <td>-21788.472522</td>\n",
" <td>-21788.473729</td>\n",
" <td>-21788.470769</td>\n",
" <td>-21788.463971</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49998.5</th>\n",
" <td>-22128.952417</td>\n",
" <td>-22120.951922</td>\n",
" <td>-22112.951639</td>\n",
" <td>-22104.951095</td>\n",
" <td>-22096.950719</td>\n",
" <td>-22088.950199</td>\n",
" <td>-22080.949677</td>\n",
" <td>-22072.949160</td>\n",
" <td>-22064.948879</td>\n",
" <td>-22056.948284</td>\n",
" <td>...</td>\n",
" <td>-21823.731059</td>\n",
" <td>-21823.768662</td>\n",
" <td>-21823.799374</td>\n",
" <td>-21823.823766</td>\n",
" <td>-21823.842354</td>\n",
" <td>-21823.855568</td>\n",
" <td>-21823.863902</td>\n",
" <td>-21823.867692</td>\n",
" <td>-21823.867336</td>\n",
" <td>-21823.863169</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49999.2</th>\n",
" <td>-22060.799393</td>\n",
" <td>-22053.905051</td>\n",
" <td>-22047.011111</td>\n",
" <td>-22040.117172</td>\n",
" <td>-22033.223421</td>\n",
" <td>-22026.329293</td>\n",
" <td>-22019.435236</td>\n",
" <td>-22012.541120</td>\n",
" <td>-22005.647248</td>\n",
" <td>-21998.752561</td>\n",
" <td>...</td>\n",
" <td>-21797.323702</td>\n",
" <td>-21797.354674</td>\n",
" <td>-21797.379539</td>\n",
" <td>-21797.398814</td>\n",
" <td>-21797.412952</td>\n",
" <td>-21797.422329</td>\n",
" <td>-21797.427322</td>\n",
" <td>-21797.428296</td>\n",
" <td>-21797.425549</td>\n",
" <td>-21797.419392</td>\n",
" </tr>\n",
" <tr>\n",
" <th>49999.9</th>\n",
" <td>-22264.315020</td>\n",
" <td>-22256.192066</td>\n",
" <td>-22248.069182</td>\n",
" <td>-22239.945825</td>\n",
" <td>-22231.822776</td>\n",
" <td>-22223.699632</td>\n",
" <td>-22215.576510</td>\n",
" <td>-22207.453253</td>\n",
" <td>-22199.330271</td>\n",
" <td>-22191.207134</td>\n",
" <td>...</td>\n",
" <td>-21953.354923</td>\n",
" <td>-21953.388619</td>\n",
" <td>-21953.415967</td>\n",
" <td>-21953.437542</td>\n",
" <td>-21953.453787</td>\n",
" <td>-21953.465151</td>\n",
" <td>-21953.472045</td>\n",
" <td>-21953.474792</td>\n",
" <td>-21953.473748</td>\n",
" <td>-21953.469201</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>57144 rows × 81 columns</p>\n",
"</div>"
],
"text/plain": [
" u (0.0000, 0.0000) u (0.0250, 0.0000) u (0.0500, 0.0000) \\\n",
"time (ps) \n",
"10000.0 -22199.391617 -22191.776113 -22184.160538 \n",
"10000.7 -22405.710643 -22397.861417 -22390.011930 \n",
"10001.4 -22343.978497 -22336.101839 -22328.225015 \n",
"10002.1 -21944.282395 -21936.340093 -21928.397980 \n",
"10002.8 -22182.627170 -22174.900037 -22167.172927 \n",
"10003.5 -22223.294027 -22215.384894 -22207.475880 \n",
"10004.2 -22097.987728 -22090.388021 -22082.788077 \n",
"10004.9 -22102.566233 -22094.977113 -22087.388205 \n",
"10005.6 -22351.044873 -22343.769646 -22336.493732 \n",
"10006.3 -22272.233429 -22264.958506 -22257.683419 \n",
"10007.0 -22155.090089 -22147.095331 -22139.100787 \n",
"10007.7 -21978.537667 -21970.477516 -21962.417105 \n",
"10008.4 -22295.904796 -22288.172975 -22280.441580 \n",
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"10009.8 -22229.151450 -22222.028758 -22214.906161 \n",
"10010.5 -22214.452819 -22206.609412 -22198.765887 \n",
"10011.2 -22302.240720 -22294.174461 -22286.107918 \n",
"10011.9 -22054.220709 -22046.509683 -22038.798587 \n",
"10012.6 -21961.466954 -21953.024539 -21944.582054 \n",
"10013.3 -22106.961216 -22100.503421 -22094.045579 \n",
"10014.0 -22266.168469 -22258.655356 -22251.141793 \n",
"10014.7 -21951.521005 -21944.175363 -21936.829767 \n",
"10015.4 -22253.243560 -22245.791198 -22238.338931 \n",
"10016.1 -22405.455425 -22397.983509 -22390.511617 \n",
"10016.8 -22107.415630 -22099.326816 -22091.237457 \n",
"10017.5 -22040.484562 -22032.930660 -22025.376663 \n",
"10018.2 -22168.509002 -22161.112093 -22153.715327 \n",
"10018.9 -22002.349613 -21995.731419 -21989.113130 \n",
"10019.6 -22172.756593 -22165.247221 -22157.737872 \n",
"10020.3 -22076.993068 -22068.984384 -22060.975226 \n",
"... ... ... ... \n",
"49979.6 -22042.547165 -22035.365736 -22028.184592 \n",
"49980.3 -22005.934291 -21998.461134 -21990.988189 \n",
"49981.0 -22280.331377 -22272.695456 -22265.059652 \n",
"49981.7 -22239.683209 -22232.461937 -22225.240145 \n",
"49982.4 -22270.316997 -22262.584152 -22254.851212 \n",
"49983.1 -22313.790089 -22306.609879 -22299.429502 \n",
"49983.8 -22169.211016 -22161.570541 -22153.930185 \n",
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"49986.6 -22346.553100 -22338.770920 -22330.989214 \n",
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"49995.0 -22106.853494 -22099.197950 -22091.542927 \n",
"49995.7 -22215.938950 -22207.997560 -22200.055934 \n",
"49996.4 -22000.265188 -21992.440111 -21984.615035 \n",
"49997.1 -22251.092549 -22244.023808 -22236.955043 \n",
"49997.8 -22070.838120 -22063.360263 -22055.882359 \n",
"49998.5 -22128.952417 -22120.951922 -22112.951639 \n",
"49999.2 -22060.799393 -22053.905051 -22047.011111 \n",
"49999.9 -22264.315020 -22256.192066 -22248.069182 \n",
"\n",
" u (0.0750, 0.0000) u (0.1000, 0.0000) u (0.1250, 0.0000) \\\n",
"time (ps) \n",
"10000.0 -22176.545056 -22168.929507 -22161.313930 \n",
"10000.7 -22382.162632 -22374.313147 -22366.463990 \n",
"10001.4 -22320.348427 -22312.471723 -22304.595063 \n",
"10002.1 -21920.455582 -21912.513517 -21904.571071 \n",
"10002.8 -22159.445935 -22151.718707 -22143.991668 \n",
"10003.5 -22199.566746 -22191.657613 -22183.748409 \n",
"10004.2 -22075.188440 -22067.588379 -22059.988624 \n",
"10004.9 -22079.799133 -22072.209964 -22064.621152 \n",
"10005.6 -22329.218080 -22321.942568 -22314.666703 \n",
"10006.3 -22250.408521 -22243.133456 -22235.858580 \n",
"10007.0 -22131.106031 -22123.111390 -22115.116708 \n",
"10007.7 -21954.356882 -21946.296424 -21938.236203 \n",
"10008.4 -22272.710374 -22264.978931 -22257.247346 \n",
"10009.1 -22222.379564 -22215.579502 -22208.779656 \n",
"10009.8 -22207.783681 -22200.661096 -22193.538546 \n",
"10010.5 -22190.922433 -22183.078813 -22175.235193 \n",
"10011.2 -22278.041659 -22269.975305 -22261.909261 \n",
"10011.9 -22031.087846 -22023.376892 -22015.665938 \n",
"10012.6 -21936.139591 -21927.697344 -21919.254880 \n",
"10013.3 -22087.587808 -22081.129931 -22074.672159 \n",
"10014.0 -22243.628609 -22236.115401 -22228.602265 \n",
"10014.7 -21929.484266 -21922.138624 -21914.793098 \n",
"10015.4 -22230.886712 -22223.434338 -22215.981953 \n",
"10016.1 -22383.039700 -22375.567904 -22368.095690 \n",
"10016.8 -22083.148618 -22075.059473 -22066.970538 \n",
"10017.5 -22017.822667 -22010.268764 -22002.714744 \n",
"10018.2 -22146.318346 -22138.921521 -22131.524432 \n",
"10018.9 -21982.494770 -21975.876481 -21969.258193 \n",
"10019.6 -22150.228665 -22142.719316 -22135.209851 \n",
"10020.3 -22052.966259 -22044.957291 -22036.948489 \n",
"... ... ... ... \n",
"49979.6 -22021.003281 -22013.821948 -22006.640757 \n",
"49980.3 -21983.515055 -21976.041898 -21968.568977 \n",
"49981.0 -22257.423707 -22249.787784 -22242.152029 \n",
"49981.7 -22218.018848 -22210.797317 -22203.575760 \n",
"49982.4 -22247.118178 -22239.385285 -22231.652371 \n",
"49983.1 -22292.249103 -22285.068797 -22277.888385 \n",
"49983.8 -22146.289710 -22138.649141 -22131.008689 \n",
"49984.5 -22050.020058 -22042.633627 -22035.247316 \n",
"49985.2 -22131.624370 -22124.050774 -22116.477274 \n",
"49985.9 -22177.185231 -22169.492885 -22161.800706 \n",
"49986.6 -22323.207226 -22315.425353 -22307.643504 \n",
"49987.3 -22107.092383 -22100.240883 -22093.389453 \n",
"49988.0 -22174.700812 -22167.799069 -22160.897325 \n",
"49988.7 -22194.230768 -22186.657592 -22179.084346 \n",
"49989.4 -21915.886776 -21908.263238 -21900.639770 \n",
"49990.1 -22073.744487 -22066.132765 -22058.521137 \n",
"49990.8 -22241.704014 -22233.827965 -22225.951938 \n",
"49991.5 -22457.494194 -22449.871527 -22442.249024 \n",
"49992.2 -22186.652341 -22178.316391 -22169.980321 \n",
"49992.9 -22199.544145 -22191.921839 -22184.299274 \n",
"49993.6 -22097.293914 -22089.469443 -22081.644811 \n",
"49994.3 -22149.405521 -22141.933093 -22134.460710 \n",
"49995.0 -22083.887691 -22076.232691 -22068.577480 \n",
"49995.7 -22192.114734 -22184.173038 -22176.231955 \n",
"49996.4 -21976.790006 -21968.964999 -21961.140091 \n",
"49997.1 -22229.886326 -22222.817702 -22215.748879 \n",
"49997.8 -22048.404241 -22040.926266 -22033.448241 \n",
"49998.5 -22104.951095 -22096.950719 -22088.950199 \n",
"49999.2 -22040.117172 -22033.223421 -22026.329293 \n",
"49999.9 -22239.945825 -22231.822776 -22223.699632 \n",
"\n",
" u (0.1500, 0.0000) u (0.1750, 0.0000) u (0.2000, 0.0000) \\\n",
"time (ps) \n",
"10000.0 -22153.698400 -22146.082851 -22138.467348 \n",
"10000.7 -22358.614574 -22350.765207 -22342.915841 \n",
"10001.4 -22296.718240 -22288.841700 -22280.964970 \n",
"10002.1 -21896.628792 -21888.686645 -21880.744332 \n",
"10002.8 -22136.264557 -22128.537569 -22120.810551 \n",
"10003.5 -22175.839310 -22167.930165 -22160.021151 \n",
"10004.2 -22052.388820 -22044.789000 -22037.189125 \n",
"10004.9 -22057.032056 -22049.443056 -22041.853990 \n",
"10005.6 -22307.391098 -22300.115326 -22292.839977 \n",
"10006.3 -22228.583543 -22221.308761 -22214.033695 \n",
"10007.0 -22107.122161 -22099.127448 -22091.132808 \n",
"10007.7 -21930.175906 -21922.115427 -21914.055110 \n",
"10008.4 -22249.515835 -22241.784607 -22234.052910 \n",
"10009.1 -22201.980136 -22195.180174 -22188.380203 \n",
"10009.8 -22186.415996 -22179.293447 -22172.170743 \n",
"10010.5 -22167.391879 -22159.548461 -22151.704794 \n",
"10011.2 -22253.843024 -22245.776788 -22237.710388 \n",
"10011.9 -22007.954878 -22000.244026 -21992.533148 \n",
"10012.6 -21910.812300 -21902.369983 -21893.927391 \n",
"10013.3 -22068.214364 -22061.756558 -22055.298658 \n",
"10014.0 -22221.089104 -22213.575791 -22206.062582 \n",
"10014.7 -21907.447478 -21900.101933 -21892.756407 \n",
"10015.4 -22208.529722 -22201.077359 -22193.624973 \n",
"10016.1 -22360.623777 -22353.151953 -22345.679920 \n",
"10016.8 -22058.881442 -22050.792346 -22042.703339 \n",
"10017.5 -21995.160807 -21987.606880 -21980.052977 \n",
"10018.2 -22124.127608 -22116.730648 -22109.333778 \n",
"10018.9 -21962.639738 -21956.021460 -21949.403113 \n",
"10019.6 -22127.700490 -22120.191320 -22112.681921 \n",
"10020.3 -22028.939405 -22020.930534 -22012.921644 \n",
"... ... ... ... \n",
"49979.6 -21999.459350 -21992.278100 -21985.096863 \n",
"49980.3 -21961.095842 -21953.622719 -21946.149646 \n",
"49981.0 -22234.516154 -22226.880151 -22219.244249 \n",
"49981.7 -22196.354393 -22189.132976 -22181.911436 \n",
"49982.4 -22223.919490 -22216.186625 -22208.453562 \n",
"49983.1 -22270.708129 -22263.527706 -22256.347400 \n",
"49983.8 -22123.368216 -22115.727930 -22108.087337 \n",
"49984.5 -22027.861193 -22020.474740 -22013.088415 \n",
"49985.2 -22108.904105 -22101.330554 -22093.757290 \n",
"49985.9 -22154.108363 -22146.416161 -22138.724003 \n",
"49986.6 -22299.861588 -22292.079679 -22284.297619 \n",
"49987.3 -22086.537857 -22079.686333 -22072.834975 \n",
"49988.0 -22153.995487 -22147.093976 -22140.192200 \n",
"49988.7 -22171.511063 -22163.938056 -22156.364831 \n",
"49989.4 -21893.016375 -21885.392977 -21877.769490 \n",
"49990.1 -22050.909460 -22043.297861 -22035.685970 \n",
"49990.8 -22218.075960 -22210.199913 -22202.323935 \n",
"49991.5 -22434.626352 -22427.003827 -22419.381493 \n",
"49992.2 -22161.644306 -22153.308162 -22144.972120 \n",
"49992.9 -22176.676826 -22169.054382 -22161.431989 \n",
"49993.6 -22073.820671 -22065.995704 -22058.171494 \n",
"49994.3 -22126.987830 -22119.515315 -22112.042584 \n",
"49995.0 -22060.922197 -22053.267031 -22045.611769 \n",
"49995.7 -22168.289925 -22160.348372 -22152.407055 \n",
"49996.4 -21953.314919 -21945.490053 -21937.664726 \n",
"49997.1 -22208.680162 -22201.611550 -22194.543031 \n",
"49997.8 -22025.970267 -22018.492457 -22011.014577 \n",
"49998.5 -22080.949677 -22072.949160 -22064.948879 \n",
"49999.2 -22019.435236 -22012.541120 -22005.647248 \n",
"49999.9 -22215.576510 -22207.453253 -22199.330271 \n",
"\n",
" u (0.2250, 0.0000) ... u (1.0000, 0.7750) \\\n",
"time (ps) ... \n",
"10000.0 -22130.851842 ... -21911.796545 \n",
"10000.7 -22335.066533 ... -22108.292055 \n",
"10001.4 -22273.088255 ... -22051.825281 \n",
"10002.1 -21872.802108 ... -21647.494692 \n",
"10002.8 -22113.083374 ... -21886.768817 \n",
"10003.5 -22152.111967 ... -21925.818559 \n",
"10004.2 -22029.589347 ... -21804.563315 \n",
"10004.9 -22034.264994 ... -21818.764055 \n",
"10005.6 -22285.564008 ... -22078.706819 \n",
"10006.3 -22206.758808 ... -21997.389800 \n",
"10007.0 -22083.138130 ... -21853.656130 \n",
"10007.7 -21905.994721 ... -21675.718493 \n",
"10008.4 -22226.321473 ... -22002.251730 \n",
"10009.1 -22181.580477 ... -21984.393768 \n",
"10009.8 -22165.048361 ... -21958.489261 \n",
"10010.5 -22143.861224 ... -21922.136637 \n",
"10011.2 -22229.644109 ... -21994.190462 \n",
"10011.9 -21984.822048 ... -21762.182957 \n",
"10012.6 -21885.484911 ... -21647.317377 \n",
"10013.3 -22048.840909 ... -21855.365778 \n",
"10014.0 -22198.549233 ... -21982.545265 \n",
"10014.7 -21885.410881 ... -21668.256554 \n",
"10015.4 -22186.172758 ... -21972.302154 \n",
"10016.1 -22338.207957 ... -22118.824700 \n",
"10016.8 -22034.614359 ... -21795.822184 \n",
"10017.5 -21972.498996 ... -21747.723525 \n",
"10018.2 -22101.936771 ... -21894.775809 \n",
"10018.9 -21942.784881 ... -21750.512874 \n",
"10019.6 -22105.172654 ... -21893.285656 \n",
"10020.3 -22004.912774 ... -21769.679330 \n",
"... ... ... ... \n",
"49979.6 -21977.915637 ... -21770.646030 \n",
"49980.3 -21938.676534 ... -21720.511183 \n",
"49981.0 -22211.608425 ... -21988.184862 \n",
"49981.7 -22174.690054 ... -21966.926392 \n",
"49982.4 -22200.720682 ... -21985.870696 \n",
"49983.1 -22249.166942 ... -22041.215492 \n",
"49983.8 -22100.446985 ... -21884.291776 \n",
"49984.5 -22005.702093 ... -21796.264100 \n",
"49985.2 -22086.183778 ... -21867.581920 \n",
"49985.9 -22131.031728 ... -21910.292951 \n",
"49986.6 -22276.515799 ... -22054.446511 \n",
"49987.3 -22065.983400 ... -21863.222827 \n",
"49988.0 -22133.290371 ... -21946.845974 \n",
"49988.7 -22148.791703 ... -21934.234041 \n",
"49989.4 -21870.145999 ... -21648.372349 \n",
"49990.1 -22028.074417 ... -21805.977063 \n",
"49990.8 -22194.447908 ... -21969.938604 \n",
"49991.5 -22411.758937 ... -22198.159236 \n",
"49992.2 -22136.636054 ... -21901.953974 \n",
"49992.9 -22153.809519 ... -21937.335010 \n",
"49993.6 -22050.346695 ... -21823.203434 \n",
"49994.3 -22104.570225 ... -21889.635641 \n",
"49995.0 -22037.956662 ... -21813.317336 \n",
"49995.7 -22144.465394 ... -21915.285534 \n",
"49996.4 -21929.839767 ... -21704.934690 \n",
"49997.1 -22187.474185 ... -21980.046956 \n",
"49997.8 -22003.536744 ... -21788.353767 \n",
"49998.5 -22056.948284 ... -21823.731059 \n",
"49999.2 -21998.752561 ... -21797.323702 \n",
"49999.9 -22191.207134 ... -21953.354923 \n",
"\n",
" u (1.0000, 0.8000) u (1.0000, 0.8250) u (1.0000, 0.8500) \\\n",
"time (ps) \n",
"10000.0 -21911.834527 -21911.865430 -21911.889891 \n",
"10000.7 -22108.330631 -22108.362076 -22108.387058 \n",
"10001.4 -22051.868711 -22051.904254 -22051.932622 \n",
"10002.1 -21647.546293 -21647.589319 -21647.624532 \n",
"10002.8 -21886.794773 -21886.814831 -21886.829512 \n",
"10003.5 -21925.854671 -21925.883680 -21925.906175 \n",
"10004.2 -21804.574752 -21804.581480 -21804.583893 \n",
"10004.9 -21818.807912 -21818.844021 -21818.873077 \n",
"10005.6 -22078.747762 -22078.781434 -22078.808453 \n",
"10006.3 -21997.428280 -21997.459752 -21997.484781 \n",
"10007.0 -21853.698117 -21853.732453 -21853.759824 \n",
"10007.7 -21675.762633 -21675.798955 -21675.828131 \n",
"10008.4 -22002.289926 -22002.321088 -22002.345763 \n",
"10009.1 -21984.421970 -21984.443945 -21984.460236 \n",
"10009.8 -21958.522247 -21958.549006 -21958.570080 \n",
"10010.5 -21922.190461 -21922.235951 -21922.273817 \n",
"10011.2 -21994.226098 -21994.255060 -21994.277935 \n",
"10011.9 -21762.216629 -21762.243652 -21762.264583 \n",
"10012.6 -21647.368904 -21647.412167 -21647.447880 \n",
"10013.3 -21855.370511 -21855.371624 -21855.369374 \n",
"10014.0 -21982.584668 -21982.617017 -21982.642922 \n",
"10014.7 -21668.278032 -21668.294277 -21668.305691 \n",
"10015.4 -21972.340447 -21972.371702 -21972.396545 \n",
"10016.1 -22118.848572 -22118.866900 -22118.880138 \n",
"10016.8 -21795.847449 -21795.867058 -21795.881479 \n",
"10017.5 -21747.737993 -21747.747537 -21747.752581 \n",
"10018.2 -21894.823073 -21894.862262 -21894.894115 \n",
"10018.9 -21750.542732 -21750.566674 -21750.585169 \n",
"10019.6 -21893.331095 -21893.368748 -21893.399294 \n",
"10020.3 -21769.701022 -21769.717123 -21769.728138 \n",
"... ... ... ... \n",
"49979.6 -21770.682379 -21770.712005 -21770.735470 \n",
"49980.3 -21720.540192 -21720.563373 -21720.581228 \n",
"49981.0 -21988.212168 -21988.233646 -21988.249794 \n",
"49981.7 -21966.959572 -21966.986423 -21967.007498 \n",
"49982.4 -21985.925276 -21985.971286 -21986.009459 \n",
"49983.1 -22041.250681 -22041.279643 -22041.302871 \n",
"49983.8 -21884.338282 -21884.377235 -21884.409321 \n",
"49984.5 -21796.307340 -21796.343049 -21796.371891 \n",
"49985.2 -21867.615095 -21867.641617 -21867.661982 \n",
"49985.9 -21910.330864 -21910.361789 -21910.386344 \n",
"49986.6 -22054.494488 -22054.534837 -22054.568203 \n",
"49987.3 -21863.234121 -21863.241085 -21863.244018 \n",
"49988.0 -21946.897905 -21946.941168 -21946.976640 \n",
"49988.7 -21934.283341 -21934.324757 -21934.359000 \n",
"49989.4 -21648.403841 -21648.429203 -21648.448927 \n",
"49990.1 -21806.013339 -21806.043011 -21806.066596 \n",
"49990.8 -21969.983570 -21970.021010 -21970.051532 \n",
"49991.5 -22198.212800 -22198.257817 -22198.295067 \n",
"49992.2 -21901.998991 -21902.036027 -21902.065769 \n",
"49992.9 -21937.382134 -21937.421440 -21937.453622 \n",
"49993.6 -21823.242410 -21823.274472 -21823.300168 \n",
"49994.3 -21889.674761 -21889.706846 -21889.732492 \n",
"49995.0 -21813.339525 -21813.356029 -21813.367277 \n",
"49995.7 -21915.326621 -21915.360580 -21915.388025 \n",
"49996.4 -21704.981057 -21705.019986 -21705.052072 \n",
"49997.1 -21980.067938 -21980.083542 -21980.094219 \n",
"49997.8 -21788.389333 -21788.417845 -21788.439913 \n",
"49998.5 -21823.768662 -21823.799374 -21823.823766 \n",
"49999.2 -21797.354674 -21797.379539 -21797.398814 \n",
"49999.9 -21953.388619 -21953.415967 -21953.437542 \n",
"\n",
" u (1.0000, 0.8750) u (1.0000, 0.9000) u (1.0000, 0.9250) \\\n",
"time (ps) \n",
"10000.0 -21911.908433 -21911.921527 -21911.929674 \n",
"10000.7 -22108.406073 -22108.419621 -22108.428191 \n",
"10001.4 -22051.954458 -22051.970345 -22051.980813 \n",
"10002.1 -21647.652567 -21647.674068 -21647.689556 \n",
"10002.8 -21886.839219 -21886.844360 -21886.845353 \n",
"10003.5 -21925.922703 -21925.933811 -21925.939921 \n",
"10004.2 -21804.582329 -21804.577123 -21804.568572 \n",
"10004.9 -21818.895668 -21818.912363 -21818.923661 \n",
"10005.6 -22078.829434 -22078.844849 -22078.855219 \n",
"10006.3 -21997.503916 -21997.517627 -21997.526387 \n",
"10007.0 -21853.780806 -21853.795937 -21853.805695 \n",
"10007.7 -21675.850769 -21675.867417 -21675.878618 \n",
"10008.4 -22002.364495 -22002.377779 -22002.386066 \n",
"10009.1 -21984.471297 -21984.477594 -21984.479491 \n",
"10009.8 -21958.585925 -21958.597006 -21958.603683 \n",
"10010.5 -21922.304743 -21922.329344 -21922.348099 \n",
"10011.2 -21994.295196 -21994.307297 -21994.314661 \n",
"10011.9 -21762.279974 -21762.290251 -21762.295889 \n",
"10012.6 -21647.476746 -21647.499310 -21647.516172 \n",
"10013.3 -21855.364070 -21855.355900 -21855.345149 \n",
"10014.0 -21982.662930 -21982.677541 -21982.687206 \n",
"10014.7 -21668.312702 -21668.315639 -21668.314809 \n",
"10015.4 -21972.415513 -21972.429103 -21972.437794 \n",
"10016.1 -22118.888685 -22118.892972 -22118.893302 \n",
"10016.8 -21795.891116 -21795.896350 -21795.897556 \n",
"10017.5 -21747.753458 -21747.750497 -21747.743983 \n",
"10018.2 -21894.919240 -21894.938278 -21894.951702 \n",
"10018.9 -21750.598690 -21750.607664 -21750.612401 \n",
"10019.6 -21893.423329 -21893.441447 -21893.454138 \n",
"10020.3 -21769.734504 -21769.736588 -21769.734741 \n",
"... ... ... ... \n",
"49979.6 -21770.753278 -21770.765926 -21770.773786 \n",
"49980.3 -21720.594182 -21720.602636 -21720.606970 \n",
"49981.0 -21988.261041 -21988.267815 -21988.270469 \n",
"49981.7 -21967.023293 -21967.034257 -21967.040817 \n",
"49982.4 -21986.040551 -21986.065134 -21986.083791 \n",
"49983.1 -22041.320870 -22041.334057 -22041.342845 \n",
"49983.8 -21884.435109 -21884.455191 -21884.470039 \n",
"49984.5 -21796.394459 -21796.411298 -21796.422875 \n",
"49985.2 -21867.676783 -21867.686444 -21867.691441 \n",
"49985.9 -21910.405076 -21910.418480 -21910.427004 \n",
"49986.6 -22054.595199 -22054.616367 -22054.632235 \n",
"49987.3 -21863.243308 -21863.239238 -21863.232084 \n",
"49988.0 -21947.005009 -21947.026910 -21947.042969 \n",
"49988.7 -21934.386682 -21934.408351 -21934.424545 \n",
"49989.4 -21648.463492 -21648.473343 -21648.478860 \n",
"49990.1 -21806.084571 -21806.097429 -21806.105526 \n",
"49990.8 -21970.075757 -21970.094205 -21970.107396 \n",
"49991.5 -22198.325236 -22198.348914 -22198.366699 \n",
"49992.2 -21902.088928 -21902.106049 -21902.117677 \n",
"49992.9 -21937.479267 -21937.498945 -21937.513176 \n",
"49993.6 -21823.320036 -21823.334550 -21823.344141 \n",
"49994.3 -21889.752243 -21889.766591 -21889.775945 \n",
"49995.0 -21813.373740 -21813.375777 -21813.373787 \n",
"49995.7 -21915.409477 -21915.425438 -21915.436379 \n",
"49996.4 -21705.077907 -21705.098012 -21705.112860 \n",
"49997.1 -21980.100330 -21980.102297 -21980.100427 \n",
"49997.8 -21788.456041 -21788.466769 -21788.472522 \n",
"49998.5 -21823.842354 -21823.855568 -21823.863902 \n",
"49999.2 -21797.412952 -21797.422329 -21797.427322 \n",
"49999.9 -21953.453787 -21953.465151 -21953.472045 \n",
"\n",
" u (1.0000, 0.9500) u (1.0000, 0.9750) u (1.0000, 1.0000) \n",
"time (ps) \n",
"10000.0 -21911.933248 -21911.932635 -21911.928181 \n",
"10000.7 -22108.432168 -22108.431908 -22108.427811 \n",
"10001.4 -22051.986353 -22051.987374 -22051.984270 \n",
"10002.1 -21647.699551 -21647.704474 -21647.704808 \n",
"10002.8 -21886.842486 -21886.836092 -21886.826455 \n",
"10003.5 -21925.941508 -21925.938901 -21925.932461 \n",
"10004.2 -21804.556967 -21804.542500 -21804.525452 \n",
"10004.9 -21818.930004 -21818.931828 -21818.929531 \n",
"10005.6 -22078.860950 -22078.862420 -22078.860003 \n",
"10006.3 -21997.530554 -21997.530554 -21997.526670 \n",
"10007.0 -21853.810502 -21853.810808 -21853.806971 \n",
"10007.7 -21675.884775 -21675.886335 -21675.883685 \n",
"10008.4 -22002.389760 -22002.389217 -22002.384763 \n",
"10009.1 -21984.477357 -21984.471511 -21984.462250 \n",
"10009.8 -21958.606337 -21958.605293 -21958.600843 \n",
"10010.5 -21922.361550 -21922.370147 -21922.374268 \n",
"10011.2 -21994.317671 -21994.316674 -21994.312011 \n",
"10011.9 -21762.297239 -21762.294682 -21762.288525 \n",
"10012.6 -21647.527799 -21647.534620 -21647.537084 \n",
"10013.3 -21855.331962 -21855.316567 -21855.299116 \n",
"10014.0 -21982.692343 -21982.693313 -21982.690449 \n",
"10014.7 -21668.310521 -21668.303088 -21668.292690 \n",
"10015.4 -21972.441961 -21972.442011 -21972.438267 \n",
"10016.1 -22118.889989 -22118.883382 -22118.873671 \n",
"10016.8 -21795.895070 -21795.889126 -21795.880059 \n",
"10017.5 -21747.734253 -21747.721488 -21747.705954 \n",
"10018.2 -21894.960039 -21894.963686 -21894.963070 \n",
"10018.9 -21750.613301 -21750.610624 -21750.604703 \n",
"10019.6 -21893.461905 -21893.465149 -21893.464248 \n",
"10020.3 -21769.729298 -21769.720557 -21769.708789 \n",
"... ... ... ... \n",
"49979.6 -21770.777313 -21770.776793 -21770.772626 \n",
"49980.3 -21720.607513 -21720.604576 -21720.598446 \n",
"49981.0 -21988.269355 -21988.264735 -21988.256944 \n",
"49981.7 -21967.043328 -21967.042140 -21967.037547 \n",
"49982.4 -21986.097076 -21986.105413 -21986.109223 \n",
"49983.1 -22041.347605 -22041.348645 -22041.346255 \n",
"49983.8 -21884.480080 -21884.485764 -21884.487420 \n",
"49984.5 -21796.429672 -21796.432039 -21796.430382 \n",
"49985.2 -21867.692105 -21867.688838 -21867.681971 \n",
"49985.9 -21910.431078 -21910.431078 -21910.427311 \n",
"49986.6 -22054.643176 -22054.649663 -22054.652053 \n",
"49987.3 -21863.222067 -21863.209446 -21863.194412 \n",
"49988.0 -21947.053669 -21947.059520 -21947.060940 \n",
"49988.7 -21934.435722 -21934.442283 -21934.444650 \n",
"49989.4 -21648.480423 -21648.478316 -21648.472869 \n",
"49990.1 -21806.109293 -21806.109056 -21806.105099 \n",
"49990.8 -21970.115730 -21970.119637 -21970.119470 \n",
"49991.5 -22198.379059 -22198.386474 -22198.389383 \n",
"49992.2 -21902.124261 -21902.126297 -21902.124117 \n",
"49992.9 -21937.522391 -21937.527031 -21937.527458 \n",
"49993.6 -21823.349208 -21823.350131 -21823.347245 \n",
"49994.3 -21889.780752 -21889.781345 -21889.778102 \n",
"49995.0 -21813.368056 -21813.358892 -21813.346578 \n",
"49995.7 -21915.442703 -21915.444786 -21915.442963 \n",
"49996.4 -21705.122900 -21705.128511 -21705.130051 \n",
"49997.1 -21980.095026 -21980.086382 -21980.074778 \n",
"49997.8 -21788.473729 -21788.470769 -21788.463971 \n",
"49998.5 -21823.867692 -21823.867336 -21823.863169 \n",
"49999.2 -21797.428296 -21797.425549 -21797.419392 \n",
"49999.9 -21953.474792 -21953.473748 -21953.469201 \n",
"\n",
"[57144 rows x 81 columns]"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"u_nk_statinef_d.compute(get=multiprocessing.get)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This becomes particularly useful when datasets grow large, with perhaps many windows to process data from. This scheme allows us to scale out pretty easily."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Estimating free energies"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So far we've just gathered up data and pre-processed data, and not even all of it. After we do this we need to feed it to an estimator, which can give us free energy estimates based on this data. We'll start with MBAR:"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from alchemlyb.estimators import MBAR"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can make an MBAR instance directly from this class, and with no arguments it will have default parameters set:"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"MBAR(initial_f_k=None, maximum_iterations=10000, method=({'method': 'hybr'},),\n",
" relative_tolerance=1e-07, verbose=False)"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mbar = MBAR()\n",
"mbar"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To get free energy differences, we need to use the fit method:"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Help on method fit in module alchemlyb.estimators.mbar_:\n",
"\n",
"fit(self, u_nk, N_k) method of alchemlyb.estimators.mbar_.MBAR instance\n",
" Compute k-means clustering.\n",
" \n",
" Parameters\n",
" ----------\n",
" u_nk : np.ndarray, float, shape=(N_max, K)\n",
" u_kn[k,n] is the reduced potential energy of uncorrelated\n",
" configuration n evaluated at state k.\n",
" \n",
" u_nk = [ u_1(x_1) u_2(x_1) u_3(x_1) . . . u_k(x_1)\n",
" u_1(x_2) u_2(x_2) u_3(x_2) . . . u_k(x_2)\n",
" . . .\n",
" u_1(x_n) u_2(x_n) u_3(x_n) . . . u_k(x_n)]\n",
" \n",
" N_k : np.ndarray, int, shape=(K)\n",
" N_k[k] is the number of uncorrelated snapshots sampled from state k.\n",
" Some may be zero, indicating that there are no samples from that state.\n",
"\n"
]
}
],
"source": [
"help(mbar.fit)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This requires input of reduced potentials for each state, sampled from a number of these states (not necessarily all). Let's gather these up:"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import os\n",
"import glob\n",
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# because of poorly-thought-out naming, need to sort directories properly\n",
"dirs = pd.np.array(glob.glob('na/g2i_state_*'))\n",
"states = pd.np.array([int(i.split('_')[-2]) for i in dirs])\n",
"dirs = dirs[states.argsort()].tolist()\n",
"states = states[states.argsort()].tolist()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"windows = {state: dir_ for dir_, state in zip(dirs, states)}"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"u_nk = list()\n",
"N_k = list()\n",
"\n",
"# since we have columns for states in each `u_nk_i` that were not actually sampled,\n",
"# we need to make sure we append a `0` to `N_k` for these\n",
"for i in range(max(states)+1):\n",
" if i in windows:\n",
" \n",
" # extract\n",
" xvgs = glob.glob(os.path.join(windows[i], 'WORK/dhdl/*.xvg'))\n",
" u_nk_i = pd.concat([gmx.extract_u_nk(xvg, T=310) for xvg in xvgs])\n",
" \n",
" # remove rows with duplicate timestamps\n",
" u_nk_i = u_nk_i[~u_nk_i.index.duplicated()]\n",
" \n",
" # subsample\n",
" u_nk_i = slicing(u_nk_i, lower=10000, step=1000)\n",
"\n",
" u_nk.append(u_nk_i)\n",
" N_k.append(len(u_nk_i))\n",
" else:\n",
" N_k.append(0)\n",
" \n",
"# combine all u_nk, fit estimator\n",
"mbar.fit(pd.concat(u_nk), N_k)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is extremely slow since all input data gets read in series, as one might expect. We can easily parallelize these building blocks, though, using something like `dask`:"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# put all extraction bits into a single function so it's done as one dask task\n",
"def extract_and_subsample(xvgs):\n",
" u_nk_i = pd.concat([gmx.extract_u_nk(xvg, T=310) for xvg in xvgs])\n",
" \n",
" # remove rows with duplicate timestamps\n",
" u_nk_i = u_nk_i[~u_nk_i.index.duplicated()]\n",
"\n",
" # subsample\n",
" u_nk_i = slicing(u_nk_i, lower=10000, step=100)\n",
" \n",
" return u_nk_i"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"u_nk = list()\n",
"N_k = list()\n",
"\n",
"# since we have columns for states in each `u_nk_i` that were not actually sampled,\n",
"# we need to make sure we append a `0` to `N_k` for these\n",
"for i in range(max(states)+1):\n",
" if i in windows:\n",
" \n",
" # extract\n",
" xvgs = glob.glob(os.path.join(os.path.abspath(windows[i]), 'WORK/dhdl/*.xvg'))\n",
" u_nk_i = delayed(extract_and_subsample)(xvgs)\n",
"\n",
" u_nk.append(u_nk_i)\n",
" N_k.append(delayed(len)(u_nk_i))\n",
" else:\n",
" N_k.append(0)\n",
" \n",
"# combine all u_nk, fit estimator\n",
"mbar_d = delayed(mbar.fit)(delayed(pd.concat)(u_nk), N_k)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This code block gives us a `dask` graph, which we can feed to e.g. a running `dask.distributed` scheduler with workers running on machines where our data is actually located (fileserver, S3, etc.):"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
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1hbt372J3d5fruaIoWFpawpUrV7Cy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Pr167yOXa/X4Xker4P3I8syj3eUSiVUKhUMDw/jwIEDvO5y+PBhXu/L1/fuxP16kDbO9evXcePG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dVgKFKpFEKhkOUymQwCgYDlXAfeXCATLlcqlQAApVKZN12hUKCwsJAtl5tznxNCCNmfHj16\nhLm5Ofh8PszOzmJubg5+vx+zs7Mszc3NYX5+HvPz81heXs5bXiQSoby8HJWVlaioqEB5eTlLlZWV\neeNcIoRszVaD9j3NMuu1a7dis8H4tjLvk3JumBCy96wXiPRphrnxcDiMdDq94d9dGYz0ScG3njRc\nXl6O4uLi5/Sr7S8rA7FtNs3Nza15PXRlQLXNJpVKRUHWNikQCMDr9cLn862bT01N5V1D4+qluroa\narV63VytVlOwX55ls1l2Dunz+TAzM4O5uTl4vd686XNzc5idnc3bHxcXF6OiogIqlQoqlQoVFRVQ\nq9WoqqpCRUUFqqurUVFRwc47yfoePXoEr9cLt9sNt9vNti1ufOU2plQq2bak0+nW3c7I5iQSCUxM\nTLDfe2xsjA273W6EQiEAgFAohEajQUNDA+rr66HValmu1WpRW1uLkpISntfmxRcIBNhvb7PZYLfb\n4Xa7MTQ0hGg0CuDx/qe2thY6nW5Vov//7bewsIDR0VGMjo5iZGSEDY+OjsLn8wEACgoKUFNTg8bG\nxrzU1NSExsZGup+1jRYXF+FyuVgaHh5meSwWA/A4qKZer0dzczP0ej1Lzc3NFCxzhUgkgvv378Nq\ntcJisaC/vx/z8/MoKipCe3s7zGYzOjo6cObMGdTX1/Nd3D0tk8ng4cOHrB5u3rwJl8sFAGhqakJn\nZydLR44coXP2HeZ2u2GxWNi2YbfbIRAIYDAY0N3dDbPZjHPnzkGr1fJd1D0rlUrh/v37rB7ee+89\nLC4uQiqVorOzE2azGd3d3Th9+jS1QXdAJpPB3bt30dvbi97eXly7dg2ZTAZHjhxBT08PXnvtNbz0\n0kt0bWmbDQwM4Ec/+hF+8pOfYH5+HqdOncLFixfx+c9/nq4rbKC/vx9vvPEGLBYLLly4gO9973vQ\n6XR8F4s3mUwGZrMZQqEQH3zwwb6/9vjhhx/i5MmT+M///E986Utf4rs4u57dbsf3vvc9vP3222ht\nbcU3v/lNXLhwYd//H62FO1ZevnwZP/vZz+BwOFBWVoZPfOITOH/+PD7xiU9ALBbzXUyCx2373t5e\nWCwWXL16FR6PBxKJBF1dXejp6YHZbEZXVxeEQiHfRd2XstksnE4n+vv7cf36ddy4cQMOhwOZTAYN\nDQ146aWX0NXVhVOnTuHw4cNUT89ZOp2G0+nEwMAAOz92Op3IZDJQq9Xs/LijowOdnZ30zstz4PV6\n8+rj7t27iMfjkEgkOHz4MKuTU6dO0fOuz1EoFMLt27dhsVgwMDCAGzduYGFhYdU11o6ODphMJr6L\nuyvl3hvLvT82PDyMcDgMACgpKUFNTQ2MRiNMJlPevbGGhgZqs26j5eVleDyeNetkcnKSPbukVCqh\n0+ny6sRoNKKlpQUCgYDntdhbEokEpqen8+4d5yYAKCoqgkajYdtFbr3U19fTdbxt9ujRI4yOjq5Z\nH2NjY8hmsxAKhdBqtWve0zeZTPQM+Q7w+/1wuVwYGRnB8PBwXs7dR5ZIJGhqakJzczOam5thMBhY\nonv624/bVkZGRlgaHR2Fy+XC5OQkstksBAIB6urqoNfrWV1w9/Y1Gg0d43fAem2v3OeSFAoFGhsb\n8/ZdRqMRhw4d2lfPXGz07lLuM//PMs/i4uKm338qKCiAQCBAcXExRCIRxGIxZDIZZDJZ3jsA6+Ub\nzcN9JhaL6VmE/xOLxfL2X8PDw3A6nXA6nVhYWAAAiMVitu9qbW3NO67QsZ4QQgghT2Nlf1Dc+/Jc\nv09cX1OhUAiZTAbBYBDZbBaBQACZTAahUAjpdBrhcJj1SbWyDyrub2z1XfzcvqG4vp64vqS4PqaK\nioogkUhQUlICkUgEkUiEkpIS1v8Ut4xcLmfzcu1Sri3K9U1FCCGEELKe9frkWK+fjvXGFxYWkEgk\n1v07m+mvY71pueNlZWX0vgMhZFcJBoOIRCJ5KRAIIBwO500LhUIIhUJ508LhMILBIDv/XItCoYBc\nLodMJoNcLl81vPLz3M+4z+keISGEEEIIIYQQQgghhBBCCCGEEEIIIYQQsmVvFmSz2SzfpSCEEEII\nIYQQQgghhBBCCCGEEEIIIYQQQgjZq7ggApsZ3sq82zWcO+1ZcAEEnmV4O75jo2HqvJJsp42CzG1H\noLrcfKuBQjYKSrcTuVwup+C3hBBCnkkkEoHP58Ps7Czm5ubg8/kwNzeHubk5eL1eNuzz+RAOh/OW\nFYvFqKqqgkqlQkVFBSoqKlBZWYny8nKWcqeJRCKe1pKQ52ejc79nzTf6znA4vG4wgvVsd9t0M9/J\nBccjhOxfgUAA8XgcsViMBVqJxWKIx+Ms4Ao3zs27tLTE5ltaWkI4HEY0GkU8Hkc0Gt3w7x08eBAH\nDx6EQqGASCRi59JisRgikQhSqRRSqRQHDx6ERCKBTCZjgTrlcjkOHjwIkUgEhUKRN0yev6WlJSwu\nLrLEBTjLHV5v2lrHSLlczoKXlZaW5gU3W2saN071/2wCgQC8Xi98Pt+6+eTkJFKpFFvmwIEDqK6u\nhlqtXpUrlcq8aYR/m6njqakpJJNJtkxxcTHKysry6nO9YZVKRddDNyGVSsHn82FiYgKTk5OYnJzE\n1NQUJicn2bRQKMTmVygU0Gq10Gq1qKurg0ajgUajQV1dHbRaLVQqFYqKinhcoxdTIBCA2+1eM01M\nTLDjk1KpZPsxnU6Xl4xGIzvfIs/G7/fD5XJhZGQEw8PDeXksFgMASCQSNDU1obm5OS9vbGyEWq2m\ne53bLJlMYmpqCm63GzabDXa7nQ37fD4AQFFRETQazaptQ6fTwWAwQCKR8LwWe0cikcD09HReXeQm\nIL8+jEYjTCYTq4+GhgbaRtbhdrthsVgwMDAAq9WKu3fvIpPJQK1Wo6OjA93d3TCbzThx4gQFUt5h\n8Xgct27dgsViwfXr13H9+nWEQiFIpVJ0dXWhs7OTpYqKCr6Lu6clk0kMDg7CYrHAarXi6tWrWFhY\ngFgsxpEjR9h2cebMGcjlcr6Lu2elUincvn0bV69exfvvv48bN24gHo9DrVbj9OnTOH36NM6ePQuT\nyUTnYTtkfn4e77//Pnp7e3H58mX4fD5UVVXh937v93D+/Hl85CMfoWtRO8Bms+Gdd97B//7v/2J0\ndBRGoxEXL17E66+/Dp1Ox3fxdjWXy4Wvf/3ruHTpEl5++WX88z//M44dO8Z3sXj37//+7/jLv/xL\n3LlzB4cPH+a7OLvCV77yFfzkJz/B0NAQysrK+C7OC8Fms+H73/8+3n77bbS2tuKb3/wmLly4QOdZ\nG3C73bh8+TLeeecdXL9+HQcOHMCrr76K8+fP4zOf+QwqKyv5LiL5P263G729vejt7cX777+P+fl5\nSKVSdHZ2oqenBz09PTh69Ci1OXkUjUZx7949WK1WWCwW9Pf3Y35+ns7RdomFhQX09/ejv78fN27c\nwK1btxCJRCCVSnHy5Em89NJL6OrqQldXF0pLS/ku7p6XSqXw8OFDXL9+ndXJyMgICgoK0NLSglOn\nTrHU2tpK+7bnKPc67MDAAG7fvo1EIgGVSoXjx4+jo6ODXY9VKpV8F3dX8/l8cLlcGB4ezksjIyPs\nOVaFQoHm5mYYjUa0traipaUFRqMROp0OAoGA5zXYW5LJJMbHx+FyueB0OjE0NASXywWHw4HZ2VkA\nQElJCQwGA/R6PQwGA1paWmAwGGAwGCCTyXheg70nGAxidHQ07z6azWbDgwcP2LsWJSUlaGxszLuX\nptPp0NbWBpVKxfMa7D3BYHDVcwDc8Pz8PIDH9znr6+vZcwC520ttbS3Pa7A3eTyeVc9mcMcX7l3d\nqqoqts/S6/VobW2FwWBAfX09HU92wHrPBDx8+BB+vx/A4+f4amtrVz0PcOjQIVRVVfG8BntPNpvF\n1NQUhoeH2fYxNDSE4eFhjI+Ps2cs1Wp1XpurpaUFra2t9MzsM9ro3Sy73c6es5yenobX68XMzAzi\n8TiAx8cVmUwGiUSCgwcPori4GAKBAAUFBXj06BHrxyAWiyGRSGyqPGu9g6VUKp/4LtdW5pFIJC/s\nc6Dcs5hr7cO444parWb7rtz9GD3TRAghhJDdhmsnRqNRJJNJ1j9AKBRCJpNBMBjMy0OhEFKpFCKR\nCJLJJKLRKBKJBGKxGGvLcu1Z7jtDoRDS6TSCweCmy6VUKiEUCiGVSlFSUgKRSASRSISSkhLWN4BC\noYBAIIBcLkdRUREkEglre4rFYhQXF0Mmk0EgEECpVEIgEEAmk636PkIIIYTsb1xfoFzK7R90K+Oz\ns7Mb9rPEXRvLvYa23vhG81RWVlI/SYSQXWFln8prpc18vpaV9xxW9r+z0f5TqVSirKyMzvcIIYQQ\nQgghhBBCCCGEEEIIIYQQQgghhOw3bxZks9ks36UghBBCCCGEEEIIIYQQQgghhBBCCCGEEEII2Yxs\nNss6r+c6vQfAOjIEwDq7Bx4HCOQelQwEAgDAOs8HwDrQB8A6zweA5eVlFuiJ60gRQF4wp0gkglQq\nBQCss/6Vf/NpcR3jA2CdKALI6yg/N5AT17k+8DhQKxfoiAt8W1hYyAJ6c535A48DvonF4g3/JteB\n/0Z/kxC+cPuEdDqNcDi8KhgGty1z+cqAbyuDv+XOu7y8vCowR+7+ZTO4IBnc9sLlcrmcbZeFhYVs\nu+W2WaVSiYKCAjZdoVDkzS+Xy/O+TyaT5W3bhBBCyG7w6NEj+P1+FkjV4/GwfG5uDrOzs/D5fJib\nm1vV8XhZWRkqKytRUVEBtVrNhlUqFaqqqvKGuTYsIbvNegGH18ufZpn12rNbsVEg4dx8K/M+Kc89\n5ySEkCeJx+OIx+MIh8MIh8OIxWKIx+MIBoOIRqOIxWKIxWIIBoNsOBKJsHljsRhCoVDevOvhzrFl\nMhlEIhHEYjEUCgXEYjEOHjyYFwxeKpVCKpWygOvcMiKRCAqFgu3vuHN9srtsFBRno+Tz+VZ910YB\ncjZKFRUV7ForeXaJRALz8/Pw+Xzwer0s5+qNmzYxMZEXMO7AgQOorq6GWq1eN6+pqYFCoeBx7Qjw\n+FrwzMwM/H4/O7+cnp5elc/OzuZdwxWLxaitrUVVVRXLa2pqoFKpUFNTg6qqKqhUKtpfP4WlpSX4\nfD643W643W62nXHjk5OT7D5aUVERysvLUV1dDZ1OB51Ox7YznU6HxsZG2s6eUiKRwPT0NPvdc9Pw\n8DDC4TCAx3Wg0WjY778y0TawfQKBQF492Gw22O32vPooLi5GbW0tdDodjEYjTCYTq4v6+noUFhby\nvBZ7j8/nw9DQEIaGhuByueB0OuFyuTA+Po5UKoWCggJoNBoYDAbo9Xq0tLRAr9ejqakJWq2WAsFu\ns1AohJGREbZ9cNuK0+lEJpMBAKjV6rxtg9teWlpa6DmFJwiHwxgcHITVaoXFYsH169exuLgIsViM\nI0eOoKOjA93d3Thz5gyqqqr4Lu6eNzMzg1u3brH6uHPnDpaXl6FWq1ldmM1mdHZ20jniDgsGg+jr\n68MHH3yA69ev486dO0gkEqipqWH10N3djfb2dtrP7KBMJoN79+7h/fffx9WrV9HX14dIJIKamhq8\n8sorOHfuHE6fPo3m5ma+i7pnpdNp3Lt3D729vbh8+TJu3LiBwsJCdHZ24vz58+jp6cGxY8fY84dk\n+0xPT+PnP/853nrrLQwMDECj0eCzn/0svvjFL+LYsWN8F2/Xm5+fxw9+8AP88Ic/RGNjI771rW/h\n4sWLfBdrV1hYWEBLSwu++MUv4gc/+AHfxdk1wuEwWlpa8JnPfAb/9m//xndxXig2mw3f//738eMf\n/xgmkwnf+MY3cOHCBTo2PMHc3Bx+9atf4Z133sFvfvMbpNNpdHV14eLFi/iDP/gD1NbW8l1EksPt\ndqO3txe9vb24evUqFhYWIJVK0dnZiZ6eHvT09ODo0aN0nY5H2WwWDocDfX19sFgs6Ovrw8TEBIqK\nitj59OnTp2E2m1FWVsZ3cfeddDoNp9OJgYEBds3D4XAgm81Cp9Oxc2yz2QyTycR3cfeFUCiE27dv\nw2KxYGBgABaLBcFgEFKpFO3t7aw+XnrpJdpmnqNYLIa7d+9iYGCA1cvY2BgEAgEMBgM6OjrYPo2O\nO5uTyWQwNTWF4eFhDA8Pw+VywW63w+l0YnJyEsDj9yP1ej1aW1tZamlpQUtLC3snk2yfYDCI0dHR\nvPuibrcbDoeDvZurVCpX3Relez47x+v1wuVysW1keHgYQ0NDcLvd7L3o8vJy6PV6GAwGNDc3o6Wl\nBW1tbdDpdFQnOyAYDGJ4eBgjIyMYGRmBy+Vi+eLiIoDH72obDAa23zIYDDAajdDpdHT/aAek02lM\nTExgaGgIDocDLpcLQ0NDcDqd8Pv9AB4/18FtH9wzBAaDAS0tLexdfbK9cp+32eiYwh1PVj5vQ7Zf\nMpnE2NgYhoeH4XQ64XQ64XA44HA42P5LLpejpaWFHdu5/VhDQwMdU3YIt62sfOZmaGgI6XQaQqEQ\nWq12VfurubkZMpks7z20QCDwxHfVNppn5Wdb6YMh9z0zpVL5xHfRnmYero+HnZZIJDAyMgKn08mO\nJ9ww16eNQqFg5ylGoxFtbW0wGo2oq6uja++EEEII2Teett251Xm30vffZtuaz9Iuze2vjxBCCCF7\nUyAQQDQaZf2ZBINBRCIRNo3rJ4Ubj0QirG8Ubhr3HRtdX5PL5RCLxZBIJJBKpVAoFJBIJGyaUqmE\nRCJhn8tkMiiVStYvikwmg1QqpfschBDeLS0tIRwOIxQKIRwOIxgMIhgMsmnc9PU+D4fDrP/5lcRi\nMWQyGRQKxYZJqVTmjcvlcigUCtb3OiGEEEIIIYQQQgghhBBCCCGEEEIIIYQQ8oJ4syC72bepCCGE\nEEIIIYQQQgghhBBCCCGEEEIIIYQQsudxHbavN/ykz7djufU+j0QiSKVSz7R+XAfwzzK8Hd+x0bBC\noaCAROSFtpmgEc8ScCI3DwQCmy7XZgJKbGcul8sp0DQhhJA9KRaLYXp6GjMzM/B6FAJhIgAAIABJ\nREFUvfD7/atyn8/HgtZyKisrUVlZiZqaGlRWVqKiogJqtZoNq1QqVFVVoaKigoI1kW0RDoeRTqfZ\nuSSXc4E9YrEYEokEa1ty7cxEIoFYLMaWSafTCIfDyGazCAaDAMCCnK38G9x3bgV3DiiTySAQCFjA\nMrFYjOLiYtbGLCkpgUgkQnFxMcRiMYRCIaRSKQoLCyGXy1FQUACFQrHmd3LBeVd+JyGE7ISV5/kr\nh7cyvrCwsOF+db0AkEql8onja31G1+VePEtLS1hcXMTi4iIWFhbY8MrxlZ+tFbRGJpOhtLQUZWVl\nKCsrQ2lpaV5aa5pSqaS26w5LJBLw+XyYnp6Gz+dbde7h8Xjg9/sxPz+ft1xFRQWqqqpQU1MDlUqF\n6upqlqvVapZTm2h3CAQC8Hq9rI7XyqempvIC9HH78JV1ulZOns7s7CzGxsbgdrsxPj6OqakpTE5O\nYmJiApOTkwiHw2ze0tJSaLVaaDQa1NfXQ6PRQKPRQKvVoq6uDmq1mq6XP4NEIoHR0VEMDQ3B5XKx\n5Ha74fV6WRDu8vJy6HQ6lhoaGtiwRqOBQCDgeU32jnA4DKfTCYfDgeHhYYyMjLCc2zYOHDiA5uZm\nNDU1rcpra2t5XoO9KZFIYHp6GjabDXa7HW63GzabDQ8fPkQoFAIAlJSUoLGxESaTCTqdDkajESaT\nCQaDARKJhOc12HtmZ2dhs9ngdDpZbrfb4fP5ADwOGtnS0oLW1lYYjUa0tLTAYDCgsbERJSUlPJf+\nxZBOp2Gz2XDjxg309/ejv78fQ0NDyGazaG5uRldXF7q6unDq1CkcOnQIQqGQ7yLveW63GxaLBVar\nFRaLBQ6HA4WFhTAYDOju7obZbEZHRwdMJhPfRd3zFhcX0dfXh9/97ne4du0a7t+/j2w2C5PJxOqi\nu7sb9fX1fBd1z3O73ejt7UVvby+uXr2KhYUFVFRUoLOzE93d3ejp6cGxY8foutwO8ng8ePfdd/Hu\nu++it7cXwWAQDQ0N+NjHPoaPfexjeOWVV6gttEOCwSB++ctf4q233sJ7770HhUKB1157Da+//jpe\nffVV+r/fhHg8jn/913/FP/7jP0IikeDv//7v8Sd/8id0jpvjy1/+Mn7961/D4XBALpfzXZxd5Uc/\n+hG+/OUv4/r16+js7OS7OC+chw8f4tvf/jYuXbqEtrY2fOMb38CFCxdo37UJsVgMV69exTvvvINf\n/OIXCIfDMBqNuHjxIs6fP4+Ojg6+i0hWyG2zvvfee1hcXKQ26y7k8/lgsVjYeffdu3eRyWSg0+nY\nOZ7ZbKZzbp4sLCzgxo0b6Ovrg8ViwZ07d5BIJFBbW4szZ87AbDbj9OnTMJlMdM/oOUin03A6nRgY\nGMi7TpXNZtk209HRge7ubhw9epTq5DmamppCf38/bt68iZs3b2JgYABLS0uQyWTo7Oxk+7Ouri6I\nxWK+i/tCWV5exsjICOx2e969oocPH2J5eRkAoFarYTKZ2P0ho9GI9vZ2yGQynku/96TTaYyNjcHl\ncsHhcMDlcmFoaAhOpxMzMzMAHt9P1ev1MBgM0Ov17H6R0Wik+0Q7IJ1OY3x8HMPDw3nPHQwPD2Ni\nYgLZbBYHDhxg9dDW1sa2lYaGBjpW7JC5uTnY7XY4nU72DMLQ0BCrk6KiIjQ2NsJoNMJgMKC1tZUl\nOk7sjFAohJGREbjdbvbMgd1uh8PhQDweBwAolcq8Y4nJZEJ7ezsqKyt5Lv3elEqlMD4+jqGhITgc\nDjgcDlYn3LMgZWVlMBqNeceS1tZWej5nB83OzrL9F1cvQ0NDmJycBPD4+RyDwcCeCWltbWXDxcXF\nPJd+b3r06BGcTidrc3F1MjQ0xJ6bV6lUMJlMaGtrY7nRaNz2ewtb7T/iaebh3ufbjPXeOVmZb/TZ\nk+ZZr08Jv9/P2sNcvdjtdkxNTQEApFIpWltbWV1wuUaj2dY6IYQQQgjZb7a7z7P15tlKf4jb3QZd\nKy8tLaV3JQkhhJAXXCKRQDQaRTAYRCQSQTQaRSwWQygUQjgcRjQaRTQaRSQSQSgUYuPRaBSBQACx\nWAzRaBThcDjvHfCVFAoFpFIpZDIZpFIppFIpFAoF5HJ53nSZTAaFQpE3zuVKpfI5/jKEEJIvkUiw\nfWMwGEQwGEQ4HF41bb20Xj/WIpEICoViU0mpVK6aRu/vEkIIIYQQQgghhBBCCCGEEEIIIYQQQgh5\nzt4syHIRiwghhBBCCCGEEEIIIYQQQgghhBBCCCGEELJjuM7JNzO8U/Out1wsFkMikXim9eM6PF9v\n+Emf7+RyEokERUVFz7R+hLyokskkotEolpeXEY/H2bbPbfdcwIRQKIR0Oo1gMIh0Oo1wOLzpZYPB\nIDKZDILB4KbLJRaLUVxcDJlMBoFAAIVCgcLCQigUCggEAshkMhQVFUEikaCkpAQikYht29w2vdGy\nQqEQUqmU5YQQQgh5suXlZXg8Hng8HkxOTsLr9cLr9cLv98Pj8WB2dhbT09OIxWJsGYFAgMrKSqjV\nalRXV0OlUuXlVVVVqK2tRWVlJQWi3ce2Egxso3wr3xUMBrGV1+aeFNxrM/NsNQdAQTsIIbxbL9hi\nIBB44vhanz1p/7sysKJSqXzi+HqfVVRU0DW/PST3f2mzyefzrRk8Jvf/Zb1UXV0NtVrNxsvLy6m9\nyoOlpSX4fD54vV74fD643W42zOUTExNIp9NsGaVSyc4/uDrkhrm8rq4OEomExzUjnKWlJUxOTmJ6\nehrT09NrnmvOzMzkBfUVi8XQaDSorKxEbW0tO69cmVMdP7vl5WWMjY3B7XazlDsejUYBAEVFRdBo\nNNBoNKirq0NdXR0b12q1qKurg1gs5nlt9oapqSm4XC6WhoaG4HK5MD4+jnQ6jYKCAmg0GjQ3N0Ov\n16OxsRE6nY4luh+y/QKBANxuN2w2G+x2O8vHxsaQzWZRXFyM2tpaVgdGoxEmkwk6nQ719fUoLCzk\nexX2pMXFRTx48IDVCbfNTE5OIpvNQiAQoL6+Hnq9Hi0tLTAYDNDr9TAYDKiurua7+HtSIBBYtZ08\nfPgQfr8fACCXy9HU1JS3jRiNRrS2ttJ2skWpVAr379+HxWKB1WrFe++9h8XFRUgkEhw+fBgdHR3o\n7u7GuXPnUFFRwXdx97yV9fH+++9jfn4eIpEIR48eRXd3N8xmM8xmM0pLS/ku7p4XDodx69Yt9Pb2\nore3F3fv3kUmk4FOp0NPTw96enrw8ssvo7y8nO+i7nljY2Po7e3F+++/j/fffx9+vx9yuRxnz57F\nK6+8gpdffhmHDh1CQUEB30Xd02w2G65cuYLLly/j+vXrKCkpQXd3N9seOjo6+C7invXo0SP89re/\nxVtvvYVf/OIXKCwsRE9PD15//XV8+tOfpuuQm5TJZPDzn/8cX/3qVzE/P4+vfOUr+NrXvkbnvitY\nrVacPn0aP/3pT3Hx4kW+i7PrZLNZvPrqqwiHw7h58yYEAgHfRXohPXz4EN/+9rdx6dIlHDp0CF//\n+tdx4cIFOpZv0vLyMvr6+nD58mVcunQJXq8XDQ0NOH/+PM6fP49z585BKBTyXUySI51Ow+l0wmq1\nsvOLQCCAyspKnD17Fj09PfjoRz+Kuro6vou67y0uLsJqtaKvrw9WqxV37txBIpGARqPBmTNncObM\nGZw9exYGg4Hvou5LyWQSg4ODq65jSaVSdHZ2wmw2o7u7G93d3Thw4ADfxd0XZmZm0N/fjxs3buDG\njRu4c+cO4vE4lEolurq6cOrUKZw6dQqdnZ3U7n6OuG2lv78f/f396Ovrw8TEBIRCIY4cOcK2E7PZ\nDJVKxXdxX0iJRAIulwsOhwNOpxN2ux1OpxNOp5M9m1xbW4vW1laWjEYj2tvboVAoeC793hQKhTAy\nMpJ3H9btdsPhcCAej0MgEKCuro7dVzIajejo6EBLSwud1+2QRCKB4eHhvHt9NpsNTqcTmUwGxcXF\naGpqYvXB5XSvb+fk1knutsJtJwCgVqtX1cnRo0fpGZ4dkk6nMT4+DofDAbvdzrYTh8PB3rGqqanJ\nqw8up+PJzvF4PHA4HKxenE4nbDYb5ubmAAAymQwtLS0wmUxobW1FW1sb2traoNFoeC753rW8vIyR\nkZG8Ywq3H3v06BGEQiG0Wi0d55+jTCaDiYkJDA0Nsf3XgwcP4HA4EIlEAABarRYmkwltbW0sb21t\nhUgk4rn0T7by3Zb18meZJxQKIZPJbKo8K9+BWZlznxUWFmJpaQmhUAiBQADz8/OYmZnBwsICstks\nRCIRNBoNGhsbYTAY2D7MYDBAqVTS9XlCCCGEkF2E64ctt++2VCqFSCTC+myLx+NYXl7O66stnU4j\nFAqx/t24Nij3feFwmM3Lfd9mcH2vFRcXQywWQyQSoaSkhPXlJpfLt/SZXC6HUChc8zNCCCGE7H7r\n9Q2zXn8ya02fn59HMplc8/tXXvvKTZudTv18EEL4EgwGEQwGEQqF2PBW0lokEgnkcjkUCsUTU+6+\nsbS0FHK5/Dn/AoQQQgghhBBCCCGEEEIIIYQQQgghhBBC9oA3C7JbidhLCCGEEEIIIYQQQgghhBBC\nCCGEEEIIIYTsMlyAmM0Mb2Xe7ViO62D8WXCdd25meCvzPu1yudOow3FCns5GQbC2EjDrSctudR+0\nVqCstYJoPSl/0rIymYwCzhFCCCHP2aNHjzA1NQWPx4OpqSlMT0/nDXu9Xvj9fjZ/UVERVCoVamtr\nUVlZidraWlRVVaG6uhoqlYrlVVVVFJz8BRGNRpFMJllwKy7n2oxcvrJ9ubKtmTtvPB7P+65YLMaC\naXH5ViiVSgCAQqFAQUEBy+VyOQoLC1nOtSe5XCqVQigUslwikaCoqIjlYrGYBc4qLi5m57JcG5UQ\nQl4k6wUS2mh8vc82CigErB1UaK1z//UCCuWOl5aW0j53n1grkNWTks/nQyAQWPVdawWuWpmqq6uh\nVqspkNUuk06nMTMzg+npafh8PkxOTsLn82F6ejpvWjweZ8scPHgQtbW1qK6uhkajQXV1NWpqalBb\nWwu1Wg2tVovKykoUFRXxuGYk16NHj1idTk1NsfPL3OGFhQU2/4EDB1jdcueaGo1mVS4Wi3lcq70n\nEAjA7XavmSYmJpBOpwE8Ph/T6XRrJq1WC6FQyPOa7B2hUAgjIyOsHmw2G+x2O1wuFws8rVAo0NjY\nyOrAaDTCZDJBr9dDKpXyvAZ7UyAQYHXB5VwdAUBJSQkaGxthMplYfRiNRrS0tNA9rx0UiURgt9vx\n4MED2Gw2PHz4EDabDT6fDwAgl8vR2tqK1tZW6PV66PV6GAwGNDc3U5twh8zPz+P+/fsYHBzE4OAg\nbDYbnE4n239VVlbCZDKhpaUFRqMRra2tMBqNUKvVPJf8xRUKhWC1WmGxWNDX14fbt29jeXkZNTU1\nOHPmDMxmM06fPg2TyUT7o+cgEonAYrHg2rVr6Ovrw8DAAJaXl6FWq2E2m1k6evQotZ+eg9nZWdy8\neRNWqxW9vb24e/cuCgoKYDAY0N3djZ6eHrzyyisoKyvju6h7XjQaRX9/P3p7e9Hb24uBgQGIRCK8\n9NJLMJvN6O7uxtmzZ+mcfofF43H09vbiypUruHLlCnw+H7RaLT75yU/i/PnzOHfuHHvuk2y/TCaD\n69ev46233sJPfvITxGIxdHV14fXXX8cf/uEf0rncFvX29uJv/uZvYLPZ8Md//Mf41re+BZVKxXex\ndp1UKoUTJ06goqICv/nNb/guzq5ls9lw9OhR/Mu//Av+7M/+jO/ivNAePHiA73znO7h06RIOHTqE\nr3/967hw4QIKCgr4LtoLI5PJ4O7du7h8+TJ+9rOfweFwoLy8HB//+Mdx/vx5fOITn6Br5LtQOp3G\nhx9+iPfeew+9vb2wWq149OgRWlpa0NPTg56eHrz88suQyWR8F3XfW1pawq1bt/DBBx/AYrHAarUi\nFotBrVbj3LlzOHv2LM6ePYuWlha+i7ovpdNpOJ1Odq3rgw8+wMTEBIRCIQ4fPszOH1999VWUlpby\nXdx9IZVKYWhoiNXJwMAAHA4HCgsL2fUVs9mMl19+GRqNhu/i7is+nw937txhdXPr1i0kk0mo1WpW\nL93d3Th27Bi1xZ6R1+tddX9wcHAQs7OzAAC1Ws3uC3Z0dMBkMqGtrY3ep90hqVQKk5OTefdtBwYG\nMDQ0hHQ6jaKiIjQ3N6+qk4aGBtoWdkgkEoHL5Vp1L31sbAzZbBbFxcVoampadR+9tbWV3jHZIel0\nGmNjY3j48CG7l2632+F0OpFIJCAQCKDT6XDo0CEYjUa0tbXBaDTCYDDQPfQdks1mMT4+DofDkbet\nOBwO9j5NdXU1jEYjDh06hLa2NrS3t8NkMtE1+x20sLAAu90Oh8MBu93OtpOpqSkAj5/Nyq2PtrY2\ntLW1QaFQ8FzyvSuRSGB4eBg2m409B/TgwQO43W5kMhkcPHgQra2trC4OHToEk8lE5yI7bGV72Gaz\n4d69e4jFYgDWbg8bjcZ9uf/arr5BnjTPWu9UrEUgELB3I6VSKUQi0Zb6+9hMPyL0DhAhhBBCyO7D\n9e/B9fURiUSQSqUQDAaRTqcRCoVYHx9cO5Pr9yMYDCKZTCISiWzqs82Qy+UQCoWQy+WsLw+uP4/c\nz0pKSiASiTb9WVFREWQyGfuMEEIIIfxbeY0rN212+sLCAhKJxJrfv1bfNmv1YbPRdLqeRQh53p7U\nv9J6+8dAIIDZ2VnWz0euzfSztFZSq9X07AwhhBBCCCGEEEIIIYQQQgghhBBCCCGE7E9vFmSz2Szf\npSCEEEIIIYQQQgghhBBCCCGEEEIIIYQQsvtwnUludfh5LbfZIC3r4Tqz3OrwTs2bO8wtSwh5Pp41\nqNRml43FYut2sLuWzQaKepYgUwcPHoRcLqfgoYQQQsgLLJFIYGpqChMTE5iamsLU1BQ8Hg+mp6fZ\n8Pz8PJu/uLgY1dXVqK2thVarRXV1NTQaDTQaDRtWqVTUPtghT2pHbmaereahUAiZTGbTZXyatuez\n5ACgVCp35PcmhBA+rRWsZ61rBusFqFg575Ouh+YGq1jr2sB6QXvWmreqqgoCgeA5/VJkN8pms1hY\nWFg3zc/PY35+HouLi3lprSCWcrkcpaWlKCsrQ2lpKUsrx1cmoVDIw5qTJ1leXsbCwgJ8Ph/cbje8\nXi98Ph/L3W43pqamkEwm2TIHDhxAdXU1dDod1Go1qqurWc5No8A5u0sikcD8/Pyqes4dHh8fZ+cZ\nxcXFKCsrW1XPucP19fV0nrkDlpeX4fF44Ha7VyWXy4VIJALgcR3V1tZCp9OtSk1NTZDL5Tyvyd6S\nTCYxNTUFt9sNm80Gu93O6mVsbAzZbBZFRUXQaDTQ6XQwGo0wmUysThoaGmifuEO8Xi/sdntevQwO\nDmJ2dhbA4+sTuXXC5bQP21nJZBIulyuvbmw2G5xOJzKZDIqLi9HU1MTqpKOjAyaTibaVHZRMJuF0\nOjE4OIjBwUHcv38fg4OD8Pl8AICqqiq0t7fDZDKhtbUVRqMRRqMRpaWlPJf8xef3+3H79m1YrVZY\nLBbcunULyWQSOp0OZrMZ3d3dMJvNMJlMfBd1XwiHw+jr68O1a9dw7do1fPjhh0ilUmhtbcXp06dZ\nfeh0Or6Lui/4/X5WF9euXYPdbodQKMTRo0dx9uxZnD17FqdPn6a27XOQTqdx79499Pb2ore3F9eu\nXUM6ncbRo0fR09ODnp4enD59GiUlJXwXdc+bnZ3Fu+++iytXruBXv/oVotEojEYjzp8/j9deew1m\ns5naSzvs1q1bePvtt/HTn/4Ufr8fXV1d+PznP4/Pfe5zqKys5Lt4L5yBgQG88cYbuHr1Knp6evDD\nH/4QbW1tfBdr1/rhD3+Iv/u7v8Pg4CAMBgPfxdnVvvrVr+K//uu/4HQ6advcBg8ePMB3vvMdXLp0\nCe3t7fja176GCxcu0DHnKbjdbly+fBnvvPMOrl+/joMHD+KVV17BxYsX8alPfQoKhYLvIpI1LC0t\nwWq1svbw3bt3UVBQgCNHjlB7eJfhzl0sFgusVit++9vfIhgMoqqqCmfOnGHXWo4dO0b7MJ6Mjo7C\nYrGgr68PVqsVTqcThYWFOHToEM6cOcPO98vLy/ku6r7h9/thtVrR19eHvr4+3L9/H+l0GgaDAd3d\n3Th9+jROnz5N18Oes2g0inv37rHrxn19fQiFQpDJZDh58iTbn3V3d9P7qNsk957iwMAA7HY7Hj58\niOXlZRQVFaG5uZndrzIajThx4gRUKhXfxd6zEokEhoeHV9UJd+9dLpejqakp7z7ioUOHUFVVxXfR\n96xQKASbzZaX7HY7vF4vAEAmk8FoNKKtrY3dc29ra0N1dTXPJd+7UqkUhoeHWX08fPgQNpsNw8PD\nSKVSKCoqgl6vR3t7Ow4fPozDhw+jvb2d6mQHZbNZTExMwOFwwGazweFwYHBwEHa7HfF4HAKBAE1N\nTWhvb8ehQ4dw6NAhtLe303MQOywUCmFkZCTveHL//n3Mzc0BANRqdd7zQtyxhXvviWy/eDzO2lo2\nmw2Dg4Ow2WzweDwAAIVCgba2NnZ8b2trw5EjR+ie8A5Kp9Nwu9148OBB3jHF5XIhmUxCKBRCr9fj\n8OHDOHLkCI4cOYLDhw9T22sbrfV+qN/vh91uZ888Tk5OYmpqCrFYDMDjbaWiooK9EyQSiSAQCNZ9\n33RxcRHLy8ubKs+z9mWy0TzcZ2KxGMXFxTv5sxJCCCGEkKfwpL73nvWzaDSa9w7qRjbbtqQ2KSGE\nELK7rdUHz3r97aw3jZu+nty+dNbrY2e9adx06geNELLTstks26ctLi7m7eNyx9cajkajq76vuLgY\npaWlbF+WO7xyfOVn9LwzIYQQQgghhBBCCCGEEEIIIYQQQgghhLzQ3izIZrNZvktBCCGEEEIIIYQQ\nQgghhBBCCCGEEEIIIfvNys6Xc6dtZngnlwuFQshkMs+0fis7dM6dtpnhnZoXeBykhYJ8EbL7bbUD\n+6fpAH+rnd0/KdDSswRpys1pP0UIIYSQXIlEAtPT0/B6vfD5fHC73XlpYmIC6XQawOPOpsvKylBd\nXQ2dTge1Wr1quK6uDgKBgOe14t9GbcqdyOPx+KYDgHKepQ36NLlEIkFRUdEO/eKEELL75Qa4Weta\nwnrBcNaad25uDqlUat2/tfJ6wVqBcDYazx0uKyujoBFkQ8lkEgsLC6vS3NzcmtO5tPIVdJFIhLKy\nMpSVlaG8vBzl5eUoKytDaWnpuqmsrIzani+QQCDAzjtyzz9yp/n9fva/UVRUhPLyclRXV6957qFW\nq6HVav8/e3ca1Eaa3w/8C0gCJCQhwIA4xiDbnOaUAIOwDVi+YjPrmV3XJqnaSTZbldo3qUo2qezu\nJNmq2Z2ZzW7eJFVTebHZo7LZIxtPZmfGrE8Z2yBxmUMCJI7xCBuwuNENuvV/MX91JAw2xgbZ8PtU\nPdWt7pb8E4/76e6nW78HfD4/wt+MrGUymZhryvXqOvQ6M7SeN7rOzMnJQXR0dIS/1e5lNpsxPj6O\n0dFR3L9/HxMTE0z9zc7OMtulpaVBIpGEldzcXEgkEmRmZlIdbQObzYbR0VEMDw9jZGQEer0eY2Nj\nePDgAXMumJWVhby8PKbk5+cjLy8POTk5YLFYEf4Gu9eDBw+g1Wqh0+mg1+sxMjKC0dFRrKysAAAy\nMzNRWFiIwsJCFBUVoaCgAMXFxdi3b1+EI9/dvF4vJicnmXrR6XTo6+vD2NgYfD4f2Gw2srOzUVRU\nBKlUiuLiYqZ+6Jxy+5hMJqYugvXS39+P1dVVsFgs5OXlMXURrBeJRBLpsHcNg8EAlUoFtVoNlUqF\nkZERREdHIz8/H/X19VAoFGhoaKD2aYfY7XZ0dXVBqVRCpVKhp6cHHo8HEokECoUCcrkcjY2NyM7O\njnSoe0JofSiVSvT39yM6Ohrl5eWQy+XMPkIDSO8Mg8HA1MWNGzdgsViYfUOhUODEiRNISkqKdJh7\ngk6nQ0tLCy5fvoyOjg7ExcVBLpfj/Pnz+MpXvoLMzMxIh7jrGY1GXLp0Cb/4xS+g1WqRk5ODr371\nq/jGN76BQ4cORTq8V9LU1BTeffdd/PSnP4VMJsO//Mu/4NixY5EO66U2OzuLgoIC/NVf/RV+8IMf\nRDqcl97KygqKiorQ2NiIX/ziF5EOZ9cYHBzEu+++iw8//BDV1dX4h3/4BzQ3N0c6rFfW9PQ0Pvnk\nE3z88ce4e/cuoqKi0NDQgDfeeAMXLlxAenp6pEMkG1hcXMTt27ehVCpx8+ZNTExMgMvloq6ujjlf\nrqyspN8GvAR8Ph80Gg3TF3Pz5k2YzWakpqaiurqauc6k+oqc+fl5qNVqtLe3o62tDRqNBn6/H4cP\nH0ZDQwMaGhpw7NgxpKSkRDrUPcPhcGBgYABqtRpKpRJqtRqrq6tIT0+HTCZj9puKigq6F7mDvF4v\nxsbGmH7lO3fuYGpqCmw2G6WlpUzfWVNTE5KTkyMd7q7h8XgwPj4edo+rt7eXuWcvEomYeynB+ynF\nxcWIi4uLcOS71/LyMoaGhqDT6TA0NITh4WEMDw/DbDYD+OKe8OHDh1FSUoKSkhJIpVK677jNLBYL\n7t+/H3Y/WK/Xw2AwAPjit/3FxcVh+8nhw4fp+ddt5Ha7MTo6Cr1ej8HBQQwODkKr1WJ6ehoAkJKS\ngrKyMpSVlaG0tBSlpaUoLi4Gh8OJcOS7l8/nw+eff87Ux9DQEAYHBzExMYFAIAA+n8+0XaWlpcw0\nMTEx0qHvapOTkxgeHmbqY3h4GKOjo3C73WCz2cjLy0NJSQkqKiqYQtcl2yv0mBJ8nmVoaAhzc3MA\nALFYHHY8KSoqQlFREV3PbyO3242xsTHmmKLVasOOKWKxGGVlZSgvL0d5eTnKyspw6NAhOvfaZkaj\nMewaJfRZPD6fj7y8vLDrlIqKCvB4POb9Lypny5O2cTgccLvdm/o+W83T8iy6hoIVAAAgAElEQVTb\n0O9nCSGEEEJeLsFzSJvNBq/XC5PJBI/HA7vdvul1Ho8HZrP5sXVWqxVer5fpM36atTlXEhMTwWKx\nIBAI1l3HZrPB5/OfaR0980wIIYS8OKE5fzbKBfSk5U6nEyaTacPPD831s17+n80sFwqF9DwNIeSF\n83g8MJlMWF5eZtq00PknrQuOPRGKx+MxbVdSUlLYfGiOqdDXSUlJ9EwUIYQQQgghhBBCCCGEEEII\nIYQQQgghhLwcPogKrB1lkBBCCCGEEEIIIYQQQgghhBBCCCGEEEJeYcEEw6Hz6y3bzPyL3tZqtcLn\n8z3X9wsmLQ6dX2/Zi9j2Wd9HSRQJ2d0CgQDMZjO8Xi9sNhvT9tntdng8HlgsFni9XlgsFrjdbjgc\njnWTxQff73K5sLKywgxOZLFY4PP5Np0Yns1mIyEhYd1E7zExMRAKheBwOODxeOByuYiNjYVAIEBM\nTAxEIhFYLBb4fD5iY2PB5XKZto7H44HD4YDP54PFYlHbRgghhJBt53Q68fDhQzx48OCx6YMHDzAz\nM4Pgz38SEhKwf/9+5ObmYv/+/cjJyQmbpqamRvjbPLsnDWi5HdPguelmPWmAy61MN/OZiYmJNLgu\nIYQ8hdvths1mg8VigdVqhd1uh91uh81mg8lkYl47HA6YzWZmPvg6OG+z2Z7ab8vj8cDj8ZCQkACh\nUMi8FggE4PP5zOvExMSwbRMTE8HlcpltBQIBeDweczwgZCucTudjA4wEy8zMDIxG42PL5+bm4Pf7\nwz5nvcGSMjIyIBaLH1suEomQmZmJxMTECH1r8rzcbjcWFxeZ/yMzMzMwGAzMvNFoxOTkJOx2O/Oe\nuLg45v9ERkYGJBIJMx+c7t+/HzExMRH8ZmQ9LpcLk5OTmJiYYK4rg/OTk5OYnZ1l2gQ2mw2xWIzs\n7GxkZ2cjKysrbD4rKwvp6el0fbIDPB4PDAYDRkdHMT4+jvHxcYyNjWFsbAzz8/MAgNjYWEgkEhw4\ncAC5ubmQSCRhhcvlRvhb7F42mw0jIyMYHh7GyMgIdDodRkZG8PDhQwQCAcTFxaGwsBAFBQUoKChA\nXl4eUxISEiId/q7mdrsxPDwMrVbLFI1GA7PZjKioKOTm5qKgoADFxcVhU6FQGOnQdz2r1QqNRoP+\n/n4MDAxAo9FgdHQUbrcbMTExOHDgAEpKSlBcXIzDhw+juLgYeXl5YLFYkQ591/J6vdDr9dBqtRgc\nHGSmc3NzAID09HSUlpairKwMpaWlKC0tRWFhIdhsdoQj3z18Ph9GR0ehVquhUqlw584dTE1Ngcvl\noqKiAvX19ZDL5Th69Chdf+0Qm82G7u5uKJVKqFQq9PT0wOPxQCKRQKFQQC6Xo6mpCVlZWZEOdU9w\nOp1Qq9VobW3FrVu30Nvbi0AggLKyMpw4cQJNTU04evQonV/tkKWlJSiVSly7dg03btyA0WiESCRC\nY2MjTp48iZMnT+LAgQORDnNPWF1dhVqtxuXLl/HRRx9henoaqampOH36NJqbm3H27FnaL3bA6uoq\nPv74Y/znf/4nlEolhEIh/vRP/xRvvfUWqqqqIh3eK8tkMuFHP/oR/u3f/g1paWn4/ve/j6997WvU\nF7UJf/Inf4KOjg7o9XrweLxIh/NKuHTpEr761a+itbUVDQ0NkQ5nVxkcHMS7776LDz/8EDU1NXj7\n7bfR3Nwc6bBeaSaTCVeuXMHvf/97XLt2Daurq6itrcWbb76JN954A7m5uZEOkTyBwWCAUqmEUqlE\na2srlpaWsG/fPjQ0NEChUOD06dPYv39/pMMk+KK/rK+vD3fv3sXdu3fR3t4Om82GtLQ0NDY2oqmp\nCSdOnIBEIol0qHuW3W5HV1fXhn03CoUCTU1NSE5OjnSoe4bX64VWq4VKpYJarcatW7ewvLwMPp+P\nmpoayOVy1NfXo76+HnFxcZEOd08xGo1M37NarUZ/fz8CgQAkEglTL3K5HMXFxZEOddeZmZlh7rsM\nDQ1hcHAQIyMj8Hg84HA4KCoqQmlpKWQyGWQyGcrLy+n5wW02NTWF4eFhDA0NYXh4GMPDw9Dr9XC5\nXOByuSgvL4dUKkVlZSWkUikKCwvpHuU2W1pawuDgIDQaDXNfX6fTwePxIC4uDsXFxSgvL0d5eTnK\nyspQVlYGgUAQ6bB3teXlZeZ+cbAN0+l0cDqdYLPZyM/PR2lpadj+Qvcvt5fb7cZnn32Gvr4+9PX1\nQa/XY3BwkHluTCwWQyqVMqWqqgrp6ekRjnp383g8GBsbw/DwMLOvaDQaPHr0CACQnZ2N8vJyVFRU\noKKiAuXl5cjJyYls0HvA9PQ0NBoNUwYGBjAxMYFAIIDk5GSmLoIlPz+fjvPbzGw2Y3h4mGm7dDod\nent74XK5wOFwcPDgwbD2q7y8nO5tbjOHw4GhoSHmWcrgtYrdbkdMTAwOHjyIsrKysHOvzMzMbY9r\nvd/6mkymp/4e+EnbrF33LL8bDv09r0gkeurvgreyTTBfDSGEEEIIeTk87/nmZtaZTKZNxfK0c83n\nWRYfHw+RSLTNf01CCCFk9wge24Ml9Hi/2eVms5nJD7hWaF6X0GN4aHna8rS0NMrpQQh5IVZXV8Ny\nVm00H3y9tLSExcXFdfPE83g8JCcnIykpCcnJyUhJSQl7vdE8IYQQQgghhBBCCCGEEEIIIYQQQggh\nhJAX6oOowEZPshJCCCGEEEIIIYQQQgghhBBCCCGEEEJIiJWVFbhcLgBgkuh5PB7Y7fYN13u9Xths\ntheyPpjUD/hiYA232w0AsFgs8Pv9z/Xdggl5WSwW+Hw+ACA2NhZcLhfAF4mzOBwOAEAoFCI6OhpR\nUVHMoFxsNpsZTCWY5BcAEhISwGazw94XHR0NoVAIAOBwOMzg8sEEggDCBqtITExEVFTUc30/Qsju\ntx0D+aydPimBaqgnDc6zmYF8NjPIT3JyMmJjY3fgL0sIIYQQ8mK43W5MT0/DYDDAYDBAp9NBr9fD\nYDDg4cOH8Pl8AL44l8rIyIBEIgkrYrEYGRkZyM3NfeHXiMFre7fbzVxvh06D64PT4LV6cOrz+WC1\nWpmp3+9nrtUtFgsCgQBzLhlMVr3ZAXqCgtfXwWnwOj045XK5zHV8bGzsY+ePa88pQ7flcrlhn8Xj\n8cKu8wkhhLw4q6ursNlssNvtMJlMsNvtsNvtsNlssFqtsFgsYcvMZjOzvc1mY5YFj1sbEYlESEhI\nAJ/PB4/Hg1AoBJ/PB5fLBY/Hg0gkAo/HA5fLBZ/Ph1AoZF4Htw2+psHcyHZabyCjmZkZGI3Gx5aH\nrl8rdNCijIwMiMXixwYxCl2XkpLC3PMgr77V1VU8fPgQ09PTmJ6extTUFIxGIx49eoTp6WnMzMxg\ndnaW2T46OhppaWnIyspCRkYGsrOzkZGRgczMTGRlZUEsFuO1115j7l+Rl4/X68XU1BQePHiAiYkJ\nPHjwgJmfmJjAzMwMc+9UKBQiJycHubm5yMnJQU5ODrKyspCZmYnXXnsN6enpiI6OjvA32ltMJtNj\n/QLB106nE8AX5zJFRUUoLi5m+gWKiopQUFBAA9FtM7fbDZ1Oh6GhIQwNDWF4eBgjIyN4+PAhgC/u\n6RcWFqKwsBDFxcVMPeXm5lLd7ACz2Yzh4WH09fVBr9dDp9Ohr68PTqcTbDYbhw4dglQqhVQqRXFx\nMSoqKmjAsx2ytLSE/v5+9Pf3Y2BgAP39/bh//z4CgQBSUlJQUVGByspKHD58mNl36F7v9jMajVCr\n1VCpVOjr68PAwABWVlaY/SVYF1KpFDKZDGKxONIh7zoulwtdXV1oa2uDSqVCZ2cnbDYbkpKSIJfL\ncfToUdTX10MmkzHPl5HtZbVa0dPTA6VSCaVSiYGBAfj9fkgkEigUCigUCjQ2NiIlJSXSoe4JPp8P\nGo2GqQ+VSgWn0xlWH01NTXQ83yE+nw+9vb24du0arl27hnv37iEqKgq1tbU4deoUTp48CZlMRue9\nO+TRo0doaWnB5cuX0draCpfLBZlMhubmZpw/fx7l5eWRDnHP6Ovrwy9/+Uv8+te/htlsRmNjI772\nta/h4sWLzLPi5Nl5PB784he/wD/+4z/C5/Ph7//+7/HXf/3XdJ2wSXfv3kVjYyM++eQTNDc3Rzqc\nV8q5c+fw8OFDDAwM0Dn4NtBqtXjvvffw4YcfoqamBm+//Tb9H30BnE4nbt68iZaWFnz88ceYn59H\nUVERLl68iObmZkil0kiHSJ7A7/ejv7+fue5Rq9VwOp0oKCgIuw4VCASRDpXgi3twAwMDuHPnDm7d\nugWVSgWHw4GcnBw0NTXhxIkTaGpqQnp6eqRD3bPsdju6urqYfoSenh54PB7qS4ggn8+H0dFRpi/6\n7t27mJycBJvNRmlpKRQKBdMXGvwdLtkZ8/Pz6OjoQHt7O9RqNfr7++HxeJCdnY2jR4/i+PHjaGho\nQF5eXqRD3ZXcbjdGRkYwNDSEwcFBDAwMoLe3F2azGSwWC4cPH4ZMJoNMJkNVVRVKSkroGmWbeb1e\njI2Noa+vjylr750F7zVLpVJUVVVRP8U2c7vd0Ov10Gg00Gq10Gq10Gg0MJlMiIqKwoEDB5j7mFKp\nFJWVlUxuBrI9vF4vxsfHMTg4yNTJwMAA8+yhRCJh9pHKykpUVlbSedcOmJqagkajYZ7FGBgYwOTk\nJAAgMzOTqYvgcxnZ2dkRjnj3C31+KVhGR0fh9/shFApx+PDhsOeXSkpK6JntbWaxWJjjSLDodDq4\n3W7Ex8ejpKQE5eXlqKioQEVFBcrKypi8PmR7uFwuDA8PM/USPK5YLBZER0fj4MGDqKioYM6JKysr\nqX9sBxiNRqbdCj5/OTIygkAggMTERBQXF6O+vh5yufyVf5bsWXLobDUHT/D31Jux2Rw6z7NNMKcZ\nIYQQQgiJrGCOnWCunmBuXavVCo/HA4vFwpxX2mw2uN1uWCwWuFwurKyswGazwePxwGw2M8uCuX5M\nJhPzuU8TExMDgUDAnC8KBAKw2WwIhUJmGZ/PB4fDgVAoZPLuJCQkgMPhIDExkcm9E8zxIxKJmGWh\neXkJIYQQ8oXQ3DGhfUuh5WnL5+fnN+xzCs0pEyyhfUYbleA2YrGYctsTQp5LsP16Wl6sYDEajUzO\n0VCbzZG1Nl8WIYQQQgghhBBCCCGEEEIIIYQQQgghhJB1fRAVCAQCkY6CEEIIIYQQQgghhBBCCCGE\nEEIIIYQQAjgcDrjdbgCAyWQC8MVA7na7/ZnXm81mBAKBZ1ofTIa70fqtiI6OZgYOCya2BQA+nw8W\ni/VM64PJbQEwifJCtwWAxMREREVFMQl2176Py+Uyg8sJBALExMRs+bsRQsjT7MYBcJ72/mA7TAgh\nhBCyFzmdTty/fx+fffYZ7t+/z5TPPvsM09PTCAQCiIqKQmZmJg4dOoSDBw/i4MGDOHToEHJzc7F/\n/36IRKItnzNuZRraV7AZTzqPXG+6lffQIIuEEPJyWXsc2mjwlKctW15eZvqf17O23+Fpg6usXRZ8\nnZaWRv2+JCJC//8/bVCOmZkZPHr0aN19QiQSPXEQjrWDdKSmpjL3SMjuZDKZYDAYYDAYYDQaMTMz\nE/Z6dnYWwXQBsbGxSEpKQkZGBiQSCcRiMfN/JrgsOzsbbDY7wt+KPE1ova8tk5OT8Hq9AL6o88zM\nTEgkksdKsN7JznO73ZienoZOp4Ner4fBYIBOp8Pw8DAsFguAL+ruwIEDKC4uZuqsqKgIZWVl4PP5\nEf4Ge8Pk5CSGhoYwNDQErVaLoaEhjI2Nwev1IjY2FsXFxUwpKipCUVERcnNzqY9ihxiNRvT19TFF\nr9djYmICgUAAIpEIRUVFkEqlTCkoKKDrgB1iNBqh1+uh0+mY+hkZGUEgEIBYLGb2mWDdFBUV0f3j\nHfD555+jt7cX9+7dQ29vL/r7+2Gz2cDhcFBWVgaZTMaUwsJCOh/cJj6fDxqNBkqlEiqVCnfv3oXN\nZoNYLEZ9fT3kcjnq6+tRUVFBx5MdYjKZcOfOHbS2tuLOnTvQ6XSIjo5GWVkZjh8/joaGBhw9ehQi\nkSjSoe4ZBoMBSqWSKSaTCWlpaTh27BgUCgVOnTqFnJycSIe5ZywsLODOnTtQKpW4fPkyZmZmkJaW\nhlOnTqG5uRkKhYL2jx304MEDfPLJJ7h06RI6OzsRGxsLuVyO8+fP4ytf+QoyMzMjHeKe8ejRI/zq\nV7/Cz3/+c4yPj6OoqAhvvfUW/vzP/xxpaWmRDu+VFggE8OGHH+K73/0upqam8M1vfhPvvPMOEhMT\nIx3aK8PtdqO8vByHDh3CJ598EulwXjn3799HSUkJ3n//ffzN3/xNpMPZtbRaLd577z18+OGHOHLk\nCL773e+iubk50mHtCj6fD52dnbh06RI+/PBDGI1G5Obmorm5GRcvXoRcLqd+mJfc6uoq1Go1c000\nMDCAqKgolJeX4/z582hubkZlZSXV40vC6/VCq9Uy9dXe3g6XywWJRAKFQgGFQoETJ04gKSkp0qHu\nWXa7HV1dXWH7lN/vD6ujpqYmJCcnRzrUPWV8fBwqlQrt7e1ob2/H559/DhaLhYqKChw/fhyNjY04\nduwYEhISIh3qnrKysoKenh6oVCqmOBwOZGZmorGxEQ0NDWhoaMCBAwciHequtvYeaEdHB5aXl8Fm\ns3Ho0KGw+5/V1dXgcDiRDnlX83q9GBsbC6uTgYEBrKysrFsnMpmMyWtAts/Dhw+h0WjQ39/P1Mvs\n7CyioqKYOpHJZJBKpaisrKRnbHaA0Whk6qO/vx/9/f2Ynp4GAOTk5KCyspKpD6lUin379kU44t1v\ncXERAwMD6O/vZ6b3799HIBBASkoKKisrUVlZiaqqKlRXVyMrKyvSIe96NpsNWq0WGo0GAwMD0Gg0\nGB4ehtvtBpfLRXl5Oaqqqphy6NAhuvbfZqHH+eBzTl1dXVhcXASLxUJeXl7Ycb6qqorJQ0S2z8TE\nBDQaDbRaLfr7+9Hb24uZmRlER0cjLy8v7Pmm8vJyJk8U2T4mkwkajQZ9fX3o7e1Fb28vPv/8cwBA\nZmYmc94VrBc6zj/uReQSeto2FosFfr9/U/E8b74gyilECCGEEPLq2Ogc8kUs22weos2eT251GeUK\nJoQQstcEAgGYzWZYLBbYbDZYrVZmajabmXVPKsHxCtZis9kQCoUQCoVITExEYmIi83qjIhKJwl7T\nMwyEkGflcDiwvLyMpaUlLC0tYXFxEUtLS2HLgvOhy9aKj49HcnIykpKSkJqain379iElJYUp6y2j\nawlCCCGEEEIIIYQQQgghhBBCCCGEEELIHvFBVCA4ch0hhBBCCCGEEEIIIYQQQgghhBBCCCF7QDCZ\nauj8este5PrNbLtRIrjNWpvoNXRZpNYnJCSAzWY/1/cihJAXzeVyYWVlBTabDR6PB2azGW63Gw6H\ng0mubTKZ4PF4YLfbsbKyApfLBYvFAo/HA6vVynxGcHur1Qqv1wuz2cy8bzOCbWawvRQKhWCxWEwS\nTx6Px7StfD4fLBYLIpEILBYLfD4fsbGx4HK54PF44HA4EAqFiImJQWJiIthsNhISEpj3E0IIIYSQ\nZ7N2QJbQ+YWFBYyNjcFgMGBiYgLT09OYnZ2FxWJB8Gc6CQkJEAgE4HK54HK5iImJQWxsLHw+H/x+\nP2w2G7xeL6xWK3w+HzPdLKFQiOjoaGZQwOBUJBIBAEQiUdjyxMREREdHM+8LncbExDADvAgEAuZ8\nMzgNLieEEPLqWDuoWLBsZlno68XFRXg8ng3/neCgYaEDhwVfr7dso21okFvysnE6nVheXg7bV2Zm\nZmA0Gtddtt6+svb/emjJyMiAWCx+bHl6ejqio6Mj9K1JJJhMJhiNRszMzMBgMMBgMIS9npychNfr\nZbYXiUSQSCSQSCQQi8XIyMgIm8/NzaX29BVhMpmYOl9b9yMjI1hZWQEAcDgcZGVlrVvvEomE6jzC\njEYjdDodRkdHMTo6ivHxcYyPj2NqagqBQAAsFgs5OTnIz89Hfn4+8vLymHmxWBzp8PcMl8uFoaEh\nDAwMQKvVYmhoCIODgzCbzQCA/fv3o6SkBCUlJSgrK0NJSQny8vLAYrEiHPne4HK5oNFoMDAwAI1G\nw9SRw+EAi8VCfn4+ysrKUFZWhoqKCpSVlSE1NTXSYe8ZRqMRfX19YWVmZgYAIBaLIZVKmVJVVYX0\n9PQIR7w3rK2X7u5uLCwsICYmBvn5+WH1IpPJ6HmBbeTz+aDRaNDa2orbt2+jvb0ddrsdGRkZaGpq\nQmNjIxobG5GbmxvpUPcMp9OJjo4OKJVK3Lp1C319fQCAiooKNDQ04Pjx4zh69CiEQmGEI907Zmdn\ncePGDdy4cQO3bt3C7OwsRCIRjh8/jhMnTuDEiRMoLCyMdJh7RrDdUiqVuHz5Mjo7OxEdHY2amho0\nNzdDoVCgsrKSrjN30NDQED766CP8/ve/h1arRXJyMl5//XW8+eabUCgUdBzfQU6nE5cvX8Yvf/lL\nXLt2DXw+HxcvXsTXvvY11NfXRzq8XaGzsxN/93d/h66uLnz5y1/Gj3/8Y+Tk5EQ6rFfO+++/j3ff\nfRc6nY7OM7foe9/7Hv71X/8VIyMjyMzMjHQ4u1pXVxfee+89tLS0oK6uDt/5znfQ3Nwc6bB2Db/f\nj4GBAVy+fBm//e1vMT4+juzsbJw9exbnz5/HmTNn6Pdcr4DFxUXcvHkTV69exfXr1zE/Pw+xWIwz\nZ87gzJkzOHnyJPM8IIk8h8OB9vZ23Lp1C62trdBoNIiKikJlZSWamppw4sQJyOVycLncSIe6Z5lM\nJrS1teH27du4e/cuBgcHAXzRN6RQKKBQKFBfX0/XWjvMaDSivb0d7e3tuH37NvR6PVgsFqqqqph+\n1Lq6OuY3yWRnhPYTqVQqtLW1wWq1QiwWo76+ntlnJBJJpEPd9QwGA1QqFXPfZ2BgACsrK+BwOCgp\nKYFcLmfu+xQWFtKzZdvM6/ViZGSEqY/+/n5oNBqsrKwgNjYWpaWlTH1UV1ejuLgYMTExkQ5715ue\nng67P9rb24v5+XlER0cjLy8PVVVVqKmpwZEjR1BWVkbPe+wAs9mM4eHhsHoZGRlBIBAIe5agvr4e\ndXV1dI68A6xWK/P8TX9/P/r7+zEyMgKfzwexWIzq6mqmVFVV0f3SHeDxeKDT6TAwMIDe3l7cu3cP\nWq0WbrcbiYmJqKqqCivUV7kz1j5zo1arYTKZwGazcejQIdTX1zPnX3TutTPW1klPTw/m5+fXfQ5K\nKpXSteMOsFqtGBwcfOpxXiqVoqamhp7n3CFr89atNw39TeBWt9ls/ru1eebWm4b+jvBZ1gWnSUlJ\n1I9HCCGEEBJBwfNEq9UKj8cDi8XCLLPZbHC73bBYLOvm9Awus9vtcLvdYXk+7XY7PB7Pps89BQIB\nk58zeL7I5/OZnJvBPJx8Ph9sNhuJiYnMsoSEBHA4HCQmJjI5PYP5OkUiEbMdIYQQsttslEPqSSV0\nu/n5+Q1zIT4pj86TckuJRCKkpKSAw+Hs8F+DEPKqCQQCWFpawtLSEpaXlx+bn5+fx8LCAhYXF8PK\nWsnJyUhJSQkraWlpGy6jawNCCCGEEEIIIYQQQgghhBBCCCGEEELIK+qDqEBwBG1CCCGEEEIIIYQQ\nQgghhBBCCCGEEEJegGDi+tD59ZZFav1WrU2IH7osUuv5fD4NtkUI2VVCE1qvl7w6mKja4XDA7XbD\nZDLB4/HAbrdjZWUFLpcLFosFbrcbNpuNaf9DP3czhEIh2Gw2BAJBWGLrYBJrNpuNhIQEpl1OSEhg\n1rFYLAgEAiapNZfLRWxsLAQCAVgsFrMNn8/f5r8mIYQQQsjusZlB+F7kNDgwymbFxMSAw+EgLi4O\nPB4PfD4fXC53U4P1bWWamJiIqKiobfyLE0IIiYS1A8ZuNCDI07ZZWFiA1+vd8N9ZOxjI2gFC1hsw\nZO0yGiyWvGqWlpYeG6Bibm6OmQ+uDy5zOBxh72ez2esOUhE6qEVqaiqSk5OZQoOok9XVVczMzMBg\nMMBoNDLzwdeTk5Ow2+3M9iKRCGKxGBkZGZBIJJBIJGGvX3vtNbov+IoxmUwwGAzQ6XTQ6/VM/Y+P\nj8NmswH4v/YltN5Dy/79+xETExPhb0JMJhNTj8Hp0NAQ5ubmAHyx/wbrrKioCMXFxcw8HQ92ls1m\ng0ajwcDAAFP0ej08Hg8SEhJQUlKC0tJSlJaWoqSkBCUlJUhMTIx02HuGz+fD6Ogo+vr6worT6YRA\nIEBJSQmKi4tRVFQEqVSKyspKGhRsB1mtVgwODkKtVkOlUqG7uxsLCwsAALFYDKlUypQjR45g3759\nEY54b3A6nbh37x7a29vR0dGB3t5ezM3NITo6Gvn5+ZDJZKiqqoJMJkN5eTkdd3aAwWCAUqmEUqnE\nrVu3sLy8jH379qGmpgb19fVQKBSorKykPvwd4vf7MTIyArVaDaVSiWvXrsFms0EikUChUEChUODE\niRNISkqKdKh7htvthkqlwo0bN3D9+nVotVpwOBzI5XKcPHkSJ06cQGVlJV3n7KCFhQVcuXIFf/jD\nH3Djxg1YLBYcPHgQp0+fxtmzZ9HQ0AAejxfpMPcUnU6HS5cu4Xe/+x1GR0exb98+nDlzBhcvXsSZ\nM2fAZrMjHeKe0tfXh5/85Cf47W9/i5WVFTQ2NuIv//Iv8aUvfYkGUX9BRkdH8b3vfQ+XLl2CQqHA\nj3/8Y1RUVEQ6rFfS5OQkioqK8Pbbb+Ptt9+OdDivrNXVVRw+fBhVVVX47//+70iHsyd0dXXhvffe\nQ0tLC+rq6vCd73wHzc3NkQ5r1wmeY7S0tKCvrw9JSUk4d+4cLl68iFOnTiE2NjbSIZJN0Ol0aGlp\ngVKpxN27d+H3+1FeXg6FQoHz58+jrq4O0dHRkQ6T/H82mw3d3d1MX1F/fz9iYmJQU1OD5uZmKBQK\nVFRUUJ1F0PLyMtra2pg6GhsbQ3x8PORyORQKBU6ePIny8nKqox02P9CHlfMAACAASURBVD+Pu3fv\nQqVSQa1Wo6+vDywWC2VlZUyf3tGjR+nYtcO8Xi+0Wi2zv6jVaqyurkIsFjN936dOnUJOTk6kQ931\nvF4vhoeH0dvbi3v37qG3txdDQ0PweDwQCoWoq6tDfX09jh49iqqqKnqOcwesd59bo9HA4XAgISEB\nZWVlkEqlqK+vR0NDA91H3SFTU1Po6+tj9pXu7m5YLBZwuVxUVlbiyJEjTMnMzIx0uHvC0tISent7\n0d3djZ6eHvT09GBhYQFsNhulpaWoqalBdXU1qqurkZ+fT+dgO8But0Oj0YS1X3q9HgCYY7xcLodU\nKoVMJqNjyg7wer0YGxtDX18f83zO6Ogo/H7/Y8/m1NbWIiUlJdIh73o+nw8jIyPMede9e/eg1Wrh\ndrshEAgglUqZ53KOHDmC7OzsSIe8Jzx48CDsfLivrw8WiwVsNhslJSWQyWSorq5GbW0tCgsL6Rmd\nHbC4uMicewXrZGpqCgAgkUiYfaS2thaVlZV0n/UV96Tf34f+fvF5tlleXobL5dpUPE/6vX3obx63\nsk1wHY/Ho/+3hBBCCCER8rRzyedZ5nQ6YTKZnhrDZs8j1+bc2Mx6yhdNCCHkVbU2p9VGua7WK06n\nE2azGYFA4LHPXe+Y+aSydru0tDT6TRohZF3BHE9GozGsTVpv2fT0NKxWa9j717ZJGRkZEIvFGy5L\nTU2lc31CCCGEEEIIIYQQQgghhBBCCCGEEELIy+CDqMB6T20SQgghhBBCCCGEEEIIIYQQQgghhJCX\nVjBpZuj8essitX6r1ib4DF0WqfWUGJQQQv7PZgcY2eoyq9UKn8/31DiedUCRZ10mFAppgDxCCCGE\nkCd40uByL3oaPGfcrCcNRvekKYfDgcViwfz8PObn5zE3N8ckJQYAHo+H3Nxc5OXlIT8/H4cPH0ZJ\nSQkKCgrAZrO3609NCCHkFRA6AMfaATnWG6Bjo2UWiwV+v3/df2NtP8ZGA3Y8bVlycjJiY2N3+C9E\nyIvncrmwtLT01EElgssWFxfh8XjCPiN0X3nawBIikQjp6enUZ0jCuN1uTE9Pw2g0YmZmBgaDIWze\nYDCEDYAYFxeHjIwMSCQSiMViZj74ev/+/UhISIjgNyJb4fP5MDU1hfv374eVzz77DAaDgbmeFQgE\nOHjwYFiRSCTIzc1FZmYmDab1ErFYLBgcHIROp8Pw8DD0ej2GhoawuLgIAEhOTsbhw4dRVFSEkpIS\nFBUV4fDhw0hOTo5w5HuT2WzGvXv30N/fj4GBAQwMDOD+/fvw+/1ISkpCZWUlKioqmJKXl0fH8x1m\nMBjQ3d2Ne/fuobe3F/39/XA4HOByuaioqEBVVRVTDh48iKioqEiHvGd4PB5otVp0d3cz5bPPPkMg\nEIBEIsGRI0dQU1MDmUyGsrIy8Hi8SIe8ZywvL6OjowMqlQoqlQq9vb1wuVzIzMxEfX09qqqqIJPJ\nUFlZCT6fH+lw9wSDwQClUgmVSoXW1lY8evQICQkJOHLkCBQKBRQKBSoqKugYs4OCdaJUKtHa2oql\npSXs27cPDQ0NUCgUOHXqFHJyciId5p4SWic3btyAxWKBRCJh9pHTp09DIBBEOsw9RaPR4A9/+ANa\nWlrQ09MDNpuNhoYGnDt3DmfPnsXBgwcjHeKe4vP50NnZiUuXLuGjjz7C9PQ0cnJy8Prrr+PixYuo\nq6uj48gOm56exq9//Wv89Kc/xf3791FUVIS33noLX//615Gamhrp8HaNxcVF/OAHP8C///u/Iy8v\nDz/60Y9w/vz5SIf1Srtw4QLTX0X3/J7PtWvXcPbsWVy9ehVnzpyJdDh7RmdnJ95//320tLRALpfj\n29/+NpqbmyMd1q40MTGBTz/9FJcuXUJHRwfi4+PR1NSEixcv4sKFC3R+/oqw2+24ffs2WlpacPXq\nVUxNTSElJQWNjY1QKBQ4f/48MjIyIh0mCfHo0SPm2lipVGJ+fh5paWlMf8WpU6eQnp4e6TD3tNnZ\nWbS3t0OpVOLKlSuYnp5GcnIympqamH4MiUQS6TD3nNB6uXnzJiYmJph7SfX19VAoFDh27Bg4HE6k\nQ91TvF4vtFot0++nUqngdDohFouZejl9+jT2798f6VD3BJfLBa1Wi56eHuYe0qNHjxAbGwuZTIaj\nR4+ivr4ecrkciYmJkQ53T/D5fBgeHkZnZyc6OzvR1dWF8fFxREVFIT8/H0eOHEFtbS3q6upQVFRE\n/X87wO/3Y3R0FN3d3ejq6kJXVxd0Oh18Ph+ysrJw5MgRHDlyBHV1dZDJZPQ7oB0SfG6ku7sbPT09\nGBgYgNPphFAoRHV1NWprayGXy1FbW0v3v3fI7Owsenp6mHLv3j2YzWZwOBxUVFSgrq6OOaakpaVF\nOtw9wW63Q6PRoK+vjyl6vR4AIJFIIJfLmTopKiqi56t2gNfrxdjYWFid3Lt3D263G2KxGFKplKmT\nqqoq6q/fAYFAAJ999hl6e3vR29vLPDe6srICkUgUdu5VU1NDz+TvkLm5OfT29jL7SFdXFxYXFxEX\nFwepVMqce9XW1kIsFkc6XPKS2kx+gWddt3Ybh8MBt9u9qXg2m7vqWbZZuy4hIYGuRwghhBBCdpDP\n54PVamXOE61WKzweDywWC3P+aDab4Xa7YbfbYbfb4XK5YLFYmPdYLBa4XC7Y7XY4HA64XC6YzWZm\n/dPweDzExsYiMTGROS8UCASIjY0Fn88Hj8cDh8OBSCRCbGwsuFwuBAIBOBwOBAIBuFwu8/7Y2Fjw\neDzw+XxwOBwIhcId+CsSQgghW7M2v9bT8m+FluXlZbhcrnU/d21urY1ybm20jVgspvsthJCwNuhJ\necuCr+fm5h7LDygSiZj8ZKG5ytbOZ2Vl0fOPhBBCCCGEEEIIIYQQQgghhBBCCCGEkO3yQVQgEAhE\nOgpCCCGEEEIIIYQQQgghhBBCCCGEkJdJMOFk6Px6yyK1fqvWJkIPXRap9QKBADExMc/1vQghhGBL\ng3Q867LN2GgAjmcZlGOjZUlJSYiLi9vmvyQhhBBCyKvjSQOwbcfUarXC5/NtOr4nDdr2oqbB88bg\n683wer0YGRlhBlHs7e2FVquF0+kEj8dDcXExDh8+jMLCQma6f//+rVYTIYSQl1Bokvn1Br7YzLLg\noFUb/Txz7fHqSQNjrF0W+nrfvn00eCnZ9YL71mYGfTCZTJidnX1s3wsd+CFYQgd9CF2WmZlJA8qT\npzKZTDAYDDAajZiZmYHBYAh7/eDBA2YAktjYWGRmZkIsFiMjIwMSiSRs/sCBA0hMTIzwNyLPw2Kx\n4P79+8z/A51OB71ej9HRUTgcDgBfHPslEgmKi4shkUjCSm5uLg129RIyGo3o6+uDXq+HTqdDX18f\nRkdH4ff7IRAIcOjQIRQVFaG4uJiZSiSSSIe9Z3k8HoyPj0OtVkOlUoXVl1gsZupJKpVCKpWiqKiI\n9rsd5vV6odVqmfppa2vDw4cPwWKxkJeXx9SNVCpFVVUVnY/tMLvdDo1Gw+xD7e3tsFgs4PP5KC0t\nhVQqRX19PY4fP47U1NRIh7unGI1Gpl7UajUGBgbg9/shkUggl8tRX18PuVyO4uLiSIe6ZwTrRKlU\n4vr163j48CF4PB5qa2uhUCggl8tRU1ND/TU7aGFhAXfu3IFSqcTNmzcxMTEBLpeLuro6KBQKKBQK\nVFZW0rF/BzkcDnR2dkKpVOLTTz/FyMgIs5+cP38eX/rSl5CTkxPpMPeU1dVVqNVqXL58Gb///e8x\nNTWFffv24cyZM2hubsbp06chEAgiHeae4nK50N7ejsuXL+N//ud/MDs7i6KiIjQ3N+P8+fOQy+XU\nbu2w1dVVtLS04Cc/+Qlu3boFkUiEr3zlK/jmN7+JioqKSIe3qzgcDnzwwQd4//33IRAI8E//9E/4\nxje+Qb8ZeU7Xrl3D2bNnceXKFZw9ezbS4ewKFy5cgF6vx9DQEPVT7LCOjg788Ic/REtLC+RyOd55\n5x2cOHEi0mHtWlNTU7h69SouX76M69evIyYmBgqFAs3Nzbhw4QL1Bb1CDAYDLl++jJaWFrS1tcHr\n9aKiooK5Nj5+/Dj1V7xkQutMpVLB6XRCIpEwdXb27FkkJCREOsw9zWAwQKlUMn2BVqs1rI6ampqQ\nnJwc6TD3nNA+2qtXr2Jqaiqsj1ahUKCiogLR0dGRDnVPCd4LDO4z7e3tcLlcYfczzp49i+zs7EiH\numesvcfU39+PQCDAtGNyuRzHjh2jvtodZLVa0dPTw9wzV6vVMJlM4PP5qKmpYeqluroaHA4n0uHu\nCXa7Hb29vejs7ER3dze6urowNzcHLpeLmpoaHD16FPX19aitraXzsh3i8Xig0WjQ3d2Nnp4edHR0\n4PPPP0dMTAzKyspQX1/PFLFYHOlw94RAIIDx8XH09PSgq6sLKpUKw8PD8Pv9OHjwIHOcr6urQ2Fh\nId3b2CGzs7O4d+8e1Go1Ojo6cO/ePTidTuzbtw91dXWQy+Woq6uDTCajvs0d4nA4mDrp7OxEZ2cn\nlpeXweVyUVVVxdRJbW0tkpKSIh3unuDz+TA6Ohr2TKler0dMTAzy8/OZ5+Hkcjk9T7qDQq9T+vr6\n0NPTA4/HA7FYHFYn9AwpiYTN5uLazLqNtrHZbPB6vZuKZ7M5uZ5nG8rtSAghhBCyM7aS93Wz6zd7\njrmZfK5bWZ+cnEzXb4QQQiJm7XHySWW97RYXF+HxeNb97LW5v56WGyy0UG50QvYmj8eDxcVFpszO\nzmJhYQELCwuYmZnB/Px82Pzq6mrY+0UiEdLS0pCamoq0tDSkpaVh3759SE9PZ+bT0tKQnp4OHo8X\noW9JCCGEEEIIIYQQQgghhBBCCCGEEEIIeQV9EBXYaCRVQgghhBBCCCGEEEIIeQ52u33DH2wTIDY2\nFlwuN9JhEEIIIYQQEhHBRIk+nw9WqxXA/yWNAgCLxQK/3x+23mazhc37fD74fD7YbDYAgNPpZN4f\nXO/3+5n3OJ1OuFyuTb1/KzgcDnOOz+VymcGlEhMTAQBsNptZz+PxmEFDQ9cHE8es934Wi8UMjhS6\nXigUMv9+cKAeHo8X9n4aaIEQQiLLarXC5XLBZrMxxzuLxQKPxwOr1cokQ7TZbHC73bBYLLBarVhZ\nWYHD4YDH44HZbIbH4wlbFvwMu92+qTgSExOZ4018fDxiY2MhFAqZY0xwGZ/PB5vNhkAgQGxsLOL
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