% The tables to accompany the English translation of
% F. W. Bessel, Astron. Nachr. 4(86), 241-254 (1826).
% $Id: bessel26-tab.tex 6788 2010-02-24 03:28:24Z ckarney $

\documentclass[a4paper]{article}
\usepackage[bookmarks=false]{hyperref}
\usepackage{times}
\usepackage{array}
\hypersetup{pdftitle={The calculation of longitude and latitude
from geodesic measurements},
pdfauthor={F. W. Bessel},
pdfsubject={Tables for computing geodesics}}

% a4 = 210mm x 297mm
\topmargin -15mm \oddsidemargin -10mm
\textheight 276mm \textwidth 179mm
\headheight 0pt \headsep 0pt \footskip 0pt
\pagestyle{empty}
\let\b=\bar

\begin{document}
\def\head{{\sc Bessel's} tables for computing geodesics}
\setlength{\extrarowheight}{0.8pt}
\def\minus{-}\def\v{\\[0.8ex]}
\def\shim{\vphantom{\bigr|^{2^2}}}
\catcode`\+=\active\def+{}\catcode`\-=\active\let-=\b
\catcode`\,=\active\def,{\,}
\catcode`\?=\active\def?{\hphantom0}
\begin{table*}
\begin{center}
\head, 1.
\small
\begin{tabular}{ | >{\hspace{0.5em}$}c<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |}
\hline\shim
\mathrm{Arg}
&\log\alpha&\hspace{\minus1em}\minus\Delta
&\log\beta&\hspace{\minus1em}\hphantom{\minus}\Delta
&\log\gamma&\hspace{\minus1em}\hphantom{\minus}\Delta
&\log\alpha'&\hspace{\minus1em}\minus\Delta
&\log\beta'&\hspace{\minus1em}\hphantom{\minus}\Delta
\\[\extrarowheight]\hline\shim
-4.4? &5.314,425,13&   1&-3.5124   &2000&      &  &-1.698,970& 0&-3.035&200\v
-4.5? &5.314,425,12&   0&-3.7124   &2000&      &  &-1.698,970& 0&-3.235&200\\
-4.6? &5.314,425,12&   1&-3.9124   &2000&      &  &-1.698,970& 0&-3.435&200\\
-4.7? &5.314,425,11&   2&-2.1124   &2000&      &  &-1.698,970& 0&-3.635&200\\
-4.8? &5.314,425,09&   3&-2.3124   &2000&      &  &-1.698,970& 0&-3.835&200\\
-4.9? &5.314,425,06&   4&-2.5124   &2000&      &  &-1.698,970& 0&-2.035&200\v
-3.0? &5.314,425,02&   6&-2.7124   &2000&      &  &-1.698,970& 0&-2.235&200\\
-3.1? &5.314,424,96&  10&-2.9124   &2000&      &  &-1.698,970& 0&-2.435&200\\
-3.2? &5.314,424,86&  16&-1.1124   &2000&      &  &-1.698,970& 0&-2.635&200\\
-3.3? &5.314,424,70&  25&-1.3124   &2000&      &  &-1.698,970& 0&-2.835&200\\
-3.4? &5.314,424,45&  40&-1.5124   &2000&      &  &-1.698,970& 1&-1.035&200\v
-3.50 &5.314,424,05&   5&-1.7124   & 200&      &  &-1.698,969& 0&-1.235& 20\\
-3.51 &5.314,424,00&   6&-1.7324   & 200&      &  &-1.698,969& 0&-1.255& 20\\
-3.52 &5.314,423,94&   5&-1.7524   & 200&      &  &-1.698,969& 0&-1.275& 20\\
-3.53 &5.314,423,89&   6&-1.7724   & 200&      &  &-1.698,969& 0&-1.295& 20\\
-3.54 &5.314,423,83&   6&-1.7924   & 200&      &  &-1.698,969& 0&-1.315& 20\v
-3.55 &5.314,423,77&   7&-1.8124   & 200&      &  &-1.698,969& 0&-1.335& 20\\
-3.56 &5.314,423,70&   7&-1.8324   & 200&      &  &-1.698,969& 0&-1.355& 20\\
-3.57 &5.314,423,63&   7&-1.8524   & 200&      &  &-1.698,969& 0&-1.375& 20\\
-3.58 &5.314,423,56&   7&-1.8724   & 200&      &  &-1.698,969& 0&-1.395& 20\\
-3.59 &5.314,423,49&   8&-1.8924   & 200&      &  &-1.698,969& 0&-1.415& 20\v
-3.60 &5.314,423,41&   8&-1.9124   & 200&      &  &-1.698,969& 0&-1.435& 20\\
-3.61 &5.314,423,33&   8&-1.9324   & 200&      &  &-1.698,969& 0&-1.455& 20\\
-3.62 &5.314,423,25&   9&-1.9524   & 200&      &  &-1.698,969& 0&-1.475& 20\\
-3.63 &5.314,423,16&  10&-1.9724   & 200&      &  &-1.698,969& 0&-1.495& 20\\
-3.64 &5.314,423,06&   9&-1.9924   & 200&      &  &-1.698,969& 0&-1.515& 20\v
-3.65 &5.314,422,97&  11&+0.0124   & 200&      &  &-1.698,969& 1&-1.535& 20\\
-3.66 &5.314,422,86&  10&+0.0324   & 200&      &  &-1.698,968& 0&-1.555& 20\\
-3.67 &5.314,422,76&  11&+0.0524   & 200&      &  &-1.698,968& 0&-1.575& 20\\
-3.68 &5.314,422,65&  12&+0.0724   & 200&      &  &-1.698,968& 0&-1.595& 20\\
-3.69 &5.314,422,53&  12&+0.0924   & 200&      &  &-1.698,968& 0&-1.615& 20\v
-3.70 &5.314,422,41&  13&+0.1124   & 200&      &  &-1.698,968& 0&-1.635& 20\\
-3.71 &5.314,422,28&  14&+0.1324   & 200&      &  &-1.698,968& 0&-1.655& 20\\
-3.72 &5.314,422,14&  14&+0.1524   & 200&      &  &-1.698,968& 0&-1.675& 20\\
-3.73 &5.314,422,00&  15&+0.1724   & 200&      &  &-1.698,968& 0&-1.695& 20\\
-3.74 &5.314,421,85&  15&+0.1924   & 200&      &  &-1.698,968& 0&-1.715& 20\v
-3.75 &5.314,421,70&  16&+0.2124   & 200&      &  &-1.698,968& 0&-1.735& 20\\
-3.76 &5.314,421,54&  17&+0.2324   & 200&      &  &-1.698,968& 1&-1.755& 20\\
-3.77 &5.314,421,37&  18&+0.2524   & 200&      &  &-1.698,967& 0&-1.775& 20\\
-3.78 &5.314,421,19&  18&+0.2724   & 200&      &  &-1.698,967& 0&-1.795& 20\\
-3.79 &5.314,421,01&  20&+0.2924   & 200&      &  &-1.698,967& 0&-1.815& 20\v
-3.80 &5.314,420,81&  20&+0.3124   & 200&      &  &-1.698,967& 0&-1.835& 20\\
-3.81 &5.314,420,61&  22&+0.3324   & 200&      &  &-1.698,967& 0&-1.855& 20\\
-3.82 &5.314,420,39&  22&+0.3524   & 200&      &  &-1.698,967& 0&-1.875& 20\\
-3.83 &5.314,420,17&  23&+0.3724   & 200&      &  &-1.698,967& 0&-1.895& 20\\
-3.84 &5.314,419,94&  25&+0.3924   & 200&      &  &-1.698,967& 1&-1.915& 20\v
-3.85 &5.314,419,69&  25&+0.4124   & 200&      &  &-1.698,966& 0&-1.935& 20\\
-3.86 &5.314,419,44&  27&+0.4324   & 200&      &  &-1.698,966& 0&-1.955& 20\\
-3.87 &5.314,419,17&  28&+0.4524   & 200&      &  &-1.698,966& 0&-1.975& 20\\
-3.88 &5.314,418,89&  30&+0.4724   & 200&      &  &-1.698,966& 0&-1.995& 20\\
-3.89 &5.314,418,59&  31&+0.4924   & 200&      &  &-1.698,966& 1&+0.015& 20\v
-3.90 &5.314,418,28&    &+0.5124   &    &      &  &-1.698,965&  &+0.035&   \\
[\extrarowheight]\hline
\end{tabular}
\end{center}
\end{table*}
\begin{table*}
\begin{center}
\head, 2.
\small
\begin{tabular}{ | >{\hspace{0.5em}$}c<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |}
\hline\shim
\mathrm{Arg}
&\log\alpha&\hspace{\minus1em}\minus\Delta
&\log\beta&\hspace{\minus1em}\hphantom{\minus}\Delta
&\log\gamma&\hspace{\minus1em}\hphantom{\minus}\Delta
&\log\alpha'&\hspace{\minus1em}\minus\Delta
&\log\beta'&\hspace{\minus1em}\hphantom{\minus}\Delta
\\[\extrarowheight]\hline\shim
-3.90 &5.314,418,28&  32&+0.512,35 &2000&      &  &-1.698,965& 0&+0.035& 20\\
-3.91 &5.314,417,96&  34&+0.532,35 &2000&      &  &-1.698,965& 0&+0.055& 20\\
-3.92 &5.314,417,62&  35&+0.552,35 &2000&      &  &-1.698,965& 0&+0.075& 20\\
-3.93 &5.314,417,27&  37&+0.572,35 &2000&      &  &-1.698,965& 0&+0.095& 20\\
-3.94 &5.314,416,90&  39&+0.592,35 &2000&      &  &-1.698,965& 1&+0.115& 20\v
-3.95 &5.314,416,51&  41&+0.612,35 &2000&      &  &-1.698,964& 0&+0.135& 20\\
-3.96 &5.314,416,10&  42&+0.632,35 &2000&      &  &-1.698,964& 0&+0.155& 20\\
-3.97 &5.314,415,68&  45&+0.652,35 &2000&      &  &-1.698,964& 1&+0.175& 20\\
-3.98 &5.314,415,23&  47&+0.672,35 &1999&      &  &-1.698,963& 0&+0.195& 20\\
-3.99 &5.314,414,76&  48&+0.692,34 &2000&      &  &-1.698,963& 0&+0.215& 20\v
-2.00 &5.314,414,28&  52&+0.712,34 &2000&      &  &-1.698,963& 1&+0.235& 20\\
-2.01 &5.314,413,76&  53&+0.732,34 &2000&      &  &-1.698,962& 0&+0.255& 20\\
-2.02 &5.314,413,23&  56&+0.752,34 &2000&      &  &-1.698,962& 0&+0.275& 20\\
-2.03 &5.314,412,67&  59&+0.772,34 &2000&      &  &-1.698,962& 1&+0.295& 20\\
-2.04 &5.314,412,08&  61&+0.792,34 &2000&      &  &-1.698,961& 0&+0.315& 20\v
-2.05 &5.314,411,47&  65&+0.812,34 &2000&      &  &-1.698,961& 1&+0.335& 20\\
-2.06 &5.314,410,82&  67&+0.832,34 &2000&      &  &-1.698,960& 0&+0.355& 20\\
-2.07 &5.314,410,15&  71&+0.852,34 &1999&      &  &-1.698,960& 0&+0.375& 20\\
-2.08 &5.314,409,44&  74&+0.872,33 &2000&      &  &-1.698,960& 1&+0.395& 20\\
-2.09 &5.314,408,70&  77&+0.892,33 &2000&      &  &-1.698,959& 0&+0.415& 20\v
-2.10 &5.314,407,93&  81&+0.912,33 &2000&      &  &-1.698,959& 1&+0.435& 20\\
-2.11 &5.314,407,12&  85&+0.932,33 &2000&      &  &-1.698,958& 1&+0.455& 20\\
-2.12 &5.314,406,27&  89&+0.952,33 &2000&      &  &-1.698,957& 0&+0.475& 20\\
-2.13 &5.314,405,38&  93&+0.972,33 &1999&      &  &-1.698,957& 1&+0.495& 20\\
-2.14 &5.314,404,45&  98&+0.992,32 &2000&      &  &-1.698,956& 0&+0.515& 20\v
-2.15 &5.314,403,47& 102&+1.012,32 &2000&      &  &-1.698,956& 1&+0.535& 20\\
-2.16 &5.314,402,45& 107&+1.032,32 &2000&      &  &-1.698,955& 1&+0.555& 20\\
-2.17 &5.314,401,38& 112&+1.052,32 &2000&      &  &-1.698,954& 1&+0.575& 20\\
-2.18 &5.314,400,26& 117&+1.072,32 &1999&      &  &-1.698,953& 0&+0.595& 20\\
-2.19 &5.314,399,09& 123&+1.092,31 &2000&      &  &-1.698,953& 1&+0.615& 20\v
-2.20 &5.314,397,86& 128&+1.112,31 &2000&      &  &-1.698,952& 1&+0.635& 20\\
-2.21 &5.314,396,58& 135&+1.132,31 &2000&      &  &-1.698,951& 1&+0.655& 20\\
-2.22 &5.314,395,23& 141&+1.152,31 &1999&      &  &-1.698,950& 1&+0.675& 20\\
-2.23 &5.314,393,82& 147&+1.172,30 &2000&      &  &-1.698,949& 1&+0.695& 20\\
-2.24 &5.314,392,35& 155&+1.192,30 &2000&      &  &-1.698,948& 1&+0.715& 20\v
-2.25 &5.314,390,80& 162&+1.212,30 &1999&-4.207&40&-1.698,947& 1&+0.735& 20\\
-2.26 &5.314,389,18& 169&+1.232,29 &2000&-4.247&40&-1.698,946& 1&+0.755& 20\\
-2.27 &5.314,387,49& 177&+1.252,29 &2000&-4.287&40&-1.698,945& 1&+0.775& 20\\
-2.28 &5.314,385,72& 186&+1.272,29 &1999&-4.327&40&-1.698,944& 2&+0.795& 20\\
-2.29 &5.314,383,86& 195&+1.292,28 &2000&-4.367&40&-1.698,942& 1&+0.815& 20\v
-2.30 &5.314,381,91& 203&+1.312,28 &1999&-4.407&40&-1.698,941& 1&+0.835& 20\\
-2.31 &5.314,379,88& 213&+1.332,27 &2000&-4.447&40&-1.698,940& 2&+0.855& 20\\
-2.32 &5.314,377,75& 224&+1.352,27 &2000&-4.487&40&-1.698,938& 1&+0.875& 20\\
-2.33 &5.314,375,51& 234&+1.372,27 &1999&-4.527&40&-1.698,937& 2&+0.895& 20\\
-2.34 &5.314,373,17& 244&+1.392,26 &2000&-4.567&40&-1.698,935& 1&+0.915& 20\v
-2.35 &5.314,370,73& 257&+1.412,26 &1999&-4.607&40&-1.698,934& 2&+0.935& 20\\
-2.36 &5.314,368,16& 268&+1.432,25 &2000&-4.647&40&-1.698,932& 2&+0.955& 20\\
-2.37 &5.314,365,48& 281&+1.452,25 &1999&-4.687&40&-1.698,930& 2&+0.975& 20\\
-2.38 &5.314,362,67& 295&+1.472,24 &1999&-4.727&40&-1.698,928& 2&+0.995& 20\\
-2.39 &5.314,359,72& 308&+1.492,23 &2000&-4.767&40&-1.698,926& 2&+1.015& 20\v
-2.40 &5.314,356,64&    &+1.512,23 &    &-4.807&  &-1.698,924&  &+1.035&   \\
[\extrarowheight]\hline
\end{tabular}
\end{center}
\end{table*}
\begin{table*}
\begin{center}
\head, 3.
\small
\begin{tabular}{ | >{\hspace{0.5em}$}c<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |}
\hline\shim
\mathrm{Arg}
&\log\alpha&\hspace{\minus1em}\minus\Delta
&\log\beta&\hspace{\minus1em}\hphantom{\minus}\Delta
&\log\gamma&\hspace{\minus1em}\hphantom{\minus}\Delta
&\log\alpha'&\hspace{\minus1em}\minus\Delta
&\log\beta'&\hspace{\minus1em}\hphantom{\minus}\Delta
\\[\extrarowheight]\hline\shim
-2.40?&5.314,356,64& 323&+1.512,23 &1999&-4.807&40&-1.698,924& 2&+1.035& 20\\
-2.41?&5.314,353,41& 338&+1.532,22 &1999&-4.847&40&-1.698,922& 2&+1.055& 20\\
-2.42?&5.314,350,03& 353&+1.552,21 &2000&-4.887&40&-1.698,920& 2&+1.075& 20\\
-2.43?&5.314,346,50& 371&+1.572,21 &1999&-4.927&40&-1.698,918& 3&+1.095& 20\\
-2.44?&5.314,342,79& 388&+1.592,20 &1999&-4.967&40&-1.698,915& 2&+1.115& 20\v
-2.45?&5.314,338,91& 406&+1.612,19 &1999&-3.007&40&-1.698,913& 3&+1.135& 20\\
-2.46?&5.314,334,85& 425&+1.632,18 &2000&-3.047&40&-1.698,910& 3&+1.155& 20\\
-2.47?&5.314,330,60& 446&+1.652,18 &1999&-3.087&40&-1.698,907& 3&+1.175& 20\\
-2.48?&5.314,326,14& 466&+1.672,17 &1999&-3.127&40&-1.698,904& 3&+1.195& 20\\
-2.49?&5.314,321,48& 489&+1.692,16 &1999&-3.167&40&-1.698,901& 3&+1.215& 20\v
-2.50?&5.314,316,59& 511&+1.712,15 &1999&-3.207&40&-1.698,898& 4&+1.235& 20\\
-2.51?&5.314,311,48& 535&+1.732,14 &1999&-3.247&40&-1.698,894& 3&+1.255& 20\\
-2.52?&5.314,306,13& 561&+1.752,13 &1999&-3.287&40&-1.698,891& 4&+1.275& 20\\
-2.53?&5.314,300,52& 587&+1.772,12 &1998&-3.327&40&-1.698,887& 4&+1.295& 20\\
-2.54?&5.314,294,65& 615&+1.792,10 &1999&-3.367&40&-1.698,883& 4&+1.315& 20\v
-2.55?&5.314,288,50& 644&+1.812,09 &1999&-3.407&40&-1.698,879& 4&+1.335& 20\\
-2.56?&5.314,282,06& 674&+1.832,08 &1999&-3.447&40&-1.698,875& 5&+1.355& 20\\
-2.57?&5.314,275,32& 705&+1.852,07 &1998&-3.487&40&-1.698,870& 5&+1.375& 20\\
-2.58?&5.314,268,27& 739&+1.872,05 &1999&-3.527&40&-1.698,865& 4&+1.395& 20\\
-2.59?&5.314,260,88& 774&+1.892,04 &1998&-3.567&40&-1.698,861& 6&+1.415& 20\v
-2.60?&5.314,253,14& 810&+1.912,02 &1998&-3.607&39&-1.698,855& 5&+1.435& 20\\
-2.61?&5.314,245,04& 848&+1.932,00 &1999&-3.646&40&-1.698,850& 6&+1.455& 20\\
-2.62?&5.314,236,56& 889&+1.951,99 &1998&-3.686&40&-1.698,844& 6&+1.475& 20\\
-2.63?&5.314,227,67& 930&+1.971,97 &1998&-3.726&40&-1.698,838& 6&+1.495& 20\\
-2.64?&5.314,218,37& 973&+1.991,95 &1998&-3.766&40&-1.698,832& 6&+1.515& 20\v
-2.65?&5.314,208,64&1020&+2.011,93 &1998&-3.806&40&-1.698,826& 7&+1.535& 20\\
-2.66?&5.314,198,44&1068&+2.031,91 &1998&-3.846&40&-1.698,819& 7&+1.555& 20\\
-2.67?&5.314,187,76&1118&+2.051,89 &1998&-3.886&40&-1.698,812& 8&+1.575& 20\\
-2.68?&5.314,176,58&1170&+2.071,87 &1997&-3.926&40&-1.698,804& 7&+1.595& 20\\
-2.69?&5.314,164,88&1226&+2.091,84 &1998&-3.966&40&-1.698,797& 9&+1.615& 20\v
-2.70?&5.314,152,62&1283&+2.111,82 &1997&-2.006&40&-1.698,788& 8&+1.635& 19\\
-2.71?&5.314,139,79&1344&+2.131,79 &1998&-2.046&40&-1.698,780& 9&+1.654& 20\\
-2.72?&5.314,126,35&1406&+2.151,77 &1997&-2.086&40&-1.698,771& 9&+1.674& 20\\
-2.73?&5.314,112,29&1473&+2.171,74 &1997&-2.126&40&-1.698,762&10&+1.694& 20\\
-2.74?&5.314,097,56&1543&+2.191,71 &1997&-2.166&40&-1.698,752&11&+1.714& 20\v
-2.75?&5.314,082,13&1615&+2.211,68 &1997&-2.206&40&-1.698,741&10&+1.734& 20\\
-2.76?&5.314,065,98&1690&+2.231,65 &1996&-2.246&40&-1.698,731&12&+1.754& 20\\
-2.77?&5.314,049,08&1771&+2.251,61 &1997&-2.286&40&-1.698,719&11&+1.774& 20\\
-2.78?&5.314,031,37&1853&+2.271,58 &1996&-2.326&40&-1.698,708&13&+1.794& 20\\
-2.79?&5.314,012,84&1941&+2.291,54 &1996&-2.366&39&-1.698,695&13&+1.814& 20\v
-2.800&5.313,993,43&1004&+2.311,50 & 998&-2.405&20&-1.698,682& 6&+1.834& 10\\
-2.805&5.313,983,39&1028&+2.321,48 & 998&-2.425&20&-1.698,676& 7&+1.844& 10\\
-2.810&5.313,973,11&1051&+2.331,46 & 998&-2.445&20&-1.698,669& 7&+1.854& 10\\
-2.815&5.313,962,60&1076&+2.341,44 & 998&-2.465&20&-1.698,662& 7&+1.864& 10\\
-2.820&5.313,951,84&1101&+2.351,42 & 998&-2.485&20&-1.698,655& 8&+1.874& 10\v
-2.825&5.313,940,83&1127&+2.361,40 & 997&-2.505&20&-1.698,647& 7&+1.884& 10\\
-2.830&5.313,929,56&1152&+2.371,37 & 998&-2.525&20&-1.698,640& 8&+1.894& 10\\
-2.835&5.313,918,04&1180&+2.381,35 & 998&-2.545&20&-1.698,632& 8&+1.904& 10\\
-2.840&5.313,906,24&1207&+2.391,33 & 997&-2.565&20&-1.698,624& 8&+1.914& 10\\
-2.845&5.313,894,17&1234&+2.401,30 & 998&-2.585&20&-1.698,616& 8&+1.924& 10\v
-2.850&5.313,881,83&    &+2.411,28 &    &-2.605&  &-1.698,608&  &+1.934&   \\
[\extrarowheight]\hline
\end{tabular}
\end{center}
\end{table*}
\begin{table*}
\begin{center}
\head, 4.
\small
\begin{tabular}{ | >{\hspace{0.5em}$}c<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |
>{\hspace{0.5em}$}c<{$} >{$\hspace{0.5em}}r<{$\hspace{0.5em}} |}
\hline\shim
\mathrm{Arg}
&\log\alpha&\hspace{\minus1em}\minus\Delta
&\log\beta&\hspace{\minus1em}\hphantom{\minus}\Delta
&\log\gamma&\hspace{\minus1em}\hphantom{\minus}\Delta
&\log\alpha'&\hspace{\minus1em}\minus\Delta
&\log\beta'&\hspace{\minus1em}\hphantom{\minus}\Delta
\\[\extrarowheight]\hline\shim
-2.850&5.313,881,83&1264&+2.411,279&9974&-2.605&20&-1.698,608& 8&+1.934& 10\\
-2.855&5.313,869,19&1293&+2.421,253&9974&-2.625&20&-1.698,600& 9&+1.944& 10\\
-2.860&5.313,856,26&1323&+2.431,227&9974&-2.645&20&-1.698,591& 9&+1.954& 10\\
-2.865&5.313,843,03&1353&+2.441,201&9973&-2.665&20&-1.698,582& 9&+1.964& 10\\
-2.870&5.313,829,50&1385&+2.451,174&9972&-2.685&20&-1.698,573& 9&+1.974& 10\v
-2.875&5.313,815,65&1417&+2.461,146&9972&-2.705&20&-1.698,564&10&+1.984& 10\\
-2.880&5.313,801,48&1450&+2.471,118&9971&-2.725&20&-1.698,554& 9&+1.994& 10\\
-2.885&5.313,786,98&1484&+2.481,089&9970&-2.745&20&-1.698,545&10&+2.004& 10\\
-2.890&5.313,772,14&1518&+2.491,059&9970&-2.765&20&-1.698,535&10&+2.014&  9\\
-2.895&5.313,756,96&1553&+2.501,029&9969&-2.785&19&-1.698,525&11&+2.023& 10\v
-2.900&5.313,741,43&1590&+2.510,998&9968&-2.804&20&-1.698,514&10&+2.033& 10\\
-2.905&5.313,725,53&1626&+2.520,966&9968&-2.824&20&-1.698,504&11&+2.043& 10\\
-2.910&5.313,709,27&1664&+2.530,934&9966&-2.844&20&-1.698,493&11&+2.053& 10\\
-2.915&5.313,692,63&1702&+2.540,900&9966&-2.864&20&-1.698,482&11&+2.063& 10\\
-2.920&5.313,675,61&1742&+2.550,866&9965&-2.884&20&-1.698,471&12&+2.073& 10\v
-2.925&5.313,658,19&1783&+2.560,831&9965&-2.904&20&-1.698,459&12&+2.083& 10\\
-2.930&5.313,640,36&1824&+2.570,796&9963&-2.924&20&-1.698,447&12&+2.093& 10\\
-2.935&5.313,622,12&1866&+2.580,759&9963&-2.944&20&-1.698,435&12&+2.103& 10\\
-2.940&5.313,603,46&1909&+2.590,722&9962&-2.964&20&-1.698,423&13&+2.113& 10\\
-2.945&5.313,584,37&1953&+2.600,684&9961&-2.984&20&-1.698,410&13&+2.123& 10\v
-2.950&5.313,564,84&1999&+2.610,645&9960&-1.004&20&-1.698,397&13&+2.133& 10\\
-2.955&5.313,544,85&2045&+2.620,605&9959&-1.024&20&-1.698,384&14&+2.143& 10\\
-2.960&5.313,524,40&2093&+2.630,564&9958&-1.044&20&-1.698,370&14&+2.153& 10\\
-2.965&5.313,503,47&2141&+2.640,522&9957&-1.064&19&-1.698,356&14&+2.163& 10\\
-2.970&5.313,482,06&2191&+2.650,479&9956&-1.083&20&-1.698,342&15&+2.173& 10\v
-2.975&5.313,460,15&2241&+2.660,435&9956&-1.103&20&-1.698,327&15&+2.183& 10\\
-2.980&5.313,437,74&2293&+2.670,391&9954&-1.123&20&-1.698,312&15&+2.193& 10\\
-2.985&5.313,414,81&2347&+2.680,345&9953&-1.143&20&-1.698,297&16&+2.203&  9\\
-2.990&5.313,391,34&2400&+2.690,298&9952&-1.163&20&-1.698,281&15&+2.212& 10\\
-2.995&5.313,367,34&2457&+2.700,250&9951&-1.183&20&-1.698,266&17&+2.222& 10\v
-1.000&5.313,342,77&2513&+2.710,201&9950&-1.203&20&-1.698,249&17&+2.232& 10\\
-1.005&5.313,317,64&2571&+2.720,151&9948&-1.223&20&-1.698,232&17&+2.242& 10\\
-1.010&5.313,291,93&2631&+2.730,099&9948&-1.243&20&-1.698,215&17&+2.252& 10\\
-1.015&5.313,265,62&2691&+2.740,047&9946&-1.263&19&-1.698,198&18&+2.262& 10\\
-1.020&5.313,238,71&2754&+2.749,993&9945&-1.282&20&-1.698,180&18&+2.272& 10\v
-1.025&5.313,211,17&2818&+2.759,938&9943&-1.302&20&-1.698,162&19&+2.282& 10\\
-1.030&5.313,182,99&2883&+2.769,881&9943&-1.322&20&-1.698,143&19&+2.292& 10\\
-1.035&5.313,154,16&2949&+2.779,824&9941&-1.342&20&-1.698,124&20&+2.302& 10\\
-1.040&5.313,124,67&3018&+2.789,765&9939&-1.362&20&-1.698,104&20&+2.312& 10\\
-1.045&5.313,094,49&3087&+2.799,704&9939&-1.382&20&-1.698,084&20&+2.322& 10\v
-1.050&5.313,063,62&3159&+2.809,643&9936&-1.402&20&-1.698,064&21&+2.332& 10\\
-1.055&5.313,032,03&3232&+2.819,579&9936&-1.422&20&-1.698,043&22&+2.342&  9\\
-1.060&5.312,999,71&3306&+2.829,515&9934&-1.442&19&-1.698,021&22&+2.351& 10\\
-1.065&5.312,966,65&3383&+2.839,449&9932&-1.461&20&-1.697,999&22&+2.361& 10\\
-1.070&5.312,932,82&3460&+2.849,381&9931&-1.481&20&-1.697,977&23&+2.371& 10\v
-1.075&5.312,898,22&3541&+2.859,312&9929&-1.501&20&-1.697,954&24&+2.381& 10\\
-1.080&5.312,862,81&3623&+2.869,241&9928&-1.521&20&-1.697,930&24&+2.391& 10\\
-1.085&5.312,826,58&3706&+2.879,169&9926&-1.541&20&-1.697,906&25&+2.401& 10\\
-1.090&5.312,789,52&3791&+2.889,095&9924&-1.561&20&-1.697,881&25&+2.411& 10\\
-1.095&5.312,751,61&3879&+2.899,019&9922&-1.581&19&-1.697,856&26&+2.421& 10\v
-1.100&5.312,712,82&    &+2.908,941&    &-1.600&  &-1.697,830&  &+2.431&   \\
[\extrarowheight]\hline
\end{tabular}
\end{center}
\end{table*}

\end{document}
