\begin{table}%t1
%\centering
\par
\caption{\label{tab:ppa_coeffs}Physical quantities and numerical coefficients of the constructed AWD~initial models.}
\small \begin{tabular}{@{~~}r@{~~}*{4}{@{~~}c@{~~}}}
\hline\hline\noalign{\smallskip}
Model &  AWD1  & AWD2 &  AWD4 & AWD3  \\
\hline 
$\Omega_{\rm c}$~[rad/s] &  1.5999  & 4.6074 &  4.5934 & 3.9847  \\
\hline
$c_1$ & 7.3470  & --12.065    &--16.265 &--18.823  \\
%\hline
$c_2$ & 62.006  & 136.61    & 162.39 & 196.62  \\ 
%\hline
$c_3$ & --275.25 & --436.83      &--480.84 &--563.38  \\ 
%\hline
$c_4$ & 342.62  & 509.56      & 531.85 & 600.25  \\ 
%\hline
$c_5$  & --137.09 & --200.88      &--200.81 &--218.51  \\ 
%\hline
$\bar s_{\rm rigid}$  & 0       & 0      &  0.2   & 0       \\
%\hline
$r_{\rm equator} / r_{\rm pol} $ & 1.629 & 1.710 & 1.796 & 2.183   \\
%\hline\hline
$\Omega_{\rm peak}$~[rad/s]& 4.4126  & 4.5158  & 5.1986 & 5.2236 \\
%\hline
$M ~[M_{\sun}]$      & 1.6374  & 1.7428 & 1.7911 & 2.0150  \\
%\hline
$M_{\rm high}~[M_{\sun}]$&  1.393  & 1.481  & 1.490 & 1.469  \\
%\hline
$M_{\rm high}/M ~[\%]$ &  85.1    & 85.0   & 83.2  & 72.9    \\
%\hline
$M_{\rm med}~[M_{\sun}]$ &   0.180  & 0.200  & 0.227   & 0.401 \\
%\hline
$M_{\rm med}/M ~[\%] $ &  11.0    & 11.5   & 12.7  & 19.9  \\
%\hline
$r_{\rm pol} ~[10^{~8} {\rm cm}]$ & 2.0180 & 1.8985 & 1.8833  & 1.8836 \\
%\hline
$ r_{\rm equator} ~[10^{~8} {\rm cm}]$  & 3.2871 & 3.2471  & 3.3822 & 4.1116 \\
%\hline
$E_{\rm int}~[10^{~51}{\rm ~erg}]$  & 2.7395 & 2.8895  & 2.9148 & 2.9604 \\
%\hline
$E_{\rm grav}~[10^{~51}{\rm ~erg}]$   & --3.6701 & --4.0330 & --4.1419 & --4.5283  \\
$E_{\rm rot}~$[10$^{~50}$~erg]& 1.748 & 2.625 & 2.991 & 4.465\\ 
$E_{\rm bind}~$[10$^{~50}$~erg]& --7.558 & --8.810 &--9.280&--11.214\\ 
$\beta~[\%]$ & 4.7639 & 6.5092  & 7.2206 & 9.8608 \\
%\hline
$ J~[10^{~50}~{\rm g \;cm}^2 / {\rm s}]$  & 0.91512 & 1.1968 & 1.3602 & 2.1951 \\
\hline
\end{tabular}
\vspace*{3mm}
\end{table}