\begin{table}%t3
\caption {Statistics of the polar ($\theta$) and azimuthal angle~($\phi$) distribution of leading and trailing patterns in the LSC,
nearby LSC and total galaxies (first column). The second and third
columns give the chi-square probability ($P({>}\chi^2)$) and
correlation coefficient ($C/C$($\sigma$)) for leading arm galaxies.
The next two columns list the values of first order Fourier
coefficient ($\Delta_{11}$/$\sigma$($\Delta_{11}$)) and first order
Fourier probability $P$(${>}\Delta_1$) for leading arm galaxies. The
last four columns repeat the previous columns for the trailing arm
galaxies.\label{tab3}}
%\vspace*{-3mm}
$$
\begin{array}{ccccccccccc}
\hline \hline \noalign{\smallskip}
$Polar~angle$\  (\theta)    &   &    &    &  &   &   &  &   \\
\hline
$sample$  &   & $(Leading)$ &    &  &   & $(Trailing)$ &  &   \\
\noalign{\smallskip}
&  P({>}\chi^2) & C/C(\sigma) & \Delta_{11}/{\sigma}(\Delta_{11}) & P({>}\Delta_1) & 
P({>}\chi^2) & C/C(\sigma) & \Delta_{11}/{\sigma}(\Delta_{11}) & P({>}\Delta_1) \\
\hline \noalign{\smallskip}
{\bf LSC\  galaxies}  &   &  &   &  &   &  & &   \\
$total (T1)$          &   0.919   &   -0.2   &   -0.2   &   0.981  &   0.964  &   -0.4  &  +0.0  &   0.993 \\
$spiral (S1)$         &   0.650   &   +1.2   &   -1.6   &   0.235  &   0.960  &   -0.1  &  -0.6  &   0.799 \\
$barred spiral (SB1)$ &   0.672   &   +0.7   &   -0.6   &   0.649  &   0.993  &   -0.1  &  +0.5  &   0.834 \\
{\bf nearby\  LSC\  galaxies}  &   &  &   &  &   &  & &   \\
$total (T2)$          &   0.705   &   -0.3   &   +0.6   &   0.808  &   0.985  &   -0.2  &  +0.2  &   0.979 \\
$spiral (S2)$         &   0.989   &   +0.1   &   +0.1   &   0.995  &   0.997  &   +0.1  &  -0.2  &   0.967 \\
$barred spiral (SB2)$ &   0.043   &   +3.3   &   -3.1   &   0.003  &   0.003  &   +5.2  &  -3.7  &   0.001 \\
{\bf LSC\  +\  nearby\  LSC}  &   &  &   &  &   &  & &   \\
$total (T3)$          &   0.552   &   -0.3   &   +0.5   &   0.894  &   0.948  &   -0.4  &  +0.2  &   0.969 \\
$spiral (S3)$         &   0.971   &   +0.2   &   -0.8   &   0.716  &   0.992  &   -0.1  &  -0.4  &   0.902 \\
$barred spiral (SB3)$ &   0.046   &   +2.8   &   -2.7   &   0.009  &   0.127  &   +2.6  &  -2.6  &   0.026 \\
$others (O3)$         &   0.547   &   +0.9   &   +0.3   &   0.691  &   0.883  &   +0.3  &  -0.8  &   0.735 \\
\hline
$azimuthal~angle$\  (\phi)  &   &    &    & &   &   &  &   \\
\hline
{\bf LSC\  galaxies}  &   &  &   &  &   &  & &   \\
$total (T1)$          &   0.492   &   +1.1   &   -1.7   &   0.055  &   0.850  &   +0.4  &  -1.1  &   0.379 \\
$spiral (S1)$         &   0.814   &   +0.5   &   -1.5   &   0.229  &   0.953  &   +0.2  &  -0.9  &   0.635 \\
$barred spiral (SB1)$ &   0.947   &   +0.2   &   +0.7   &   0.664  &   0.893  &   -0.1  &  +0.7  &   0.664 \\
{\bf nearby\ LSC\  galaxies}  &   &  &   &  &   &  & &   \\
$total (T2)$          &   0.839   &   +0.5   &   +0.7   &   0.664  &   0.993  &   +0.2  &  +0.7  &   0.737 \\
$spiral (S2)$         &   0.980   &   +0.3   &   +1.1   &   0.495  &   0.985  &   +0.2  &  +1.1  &   0.562 \\
$barred spiral (SB2)$ &   0.048   &   +2.6   &   +3.6   &   0.002  &   0.040  &   +1.1  &  +2.2  &   0.080 \\
{\bf LSC\ +\  nearby\  LSC}  &   &  &   &  &   &  & &   \\
$total (T3)$          &   0.972   &   +0.2   &   -1.3   &   0.457  &   0.994  &   +0.0  &  +0.0  &   0.728 \\
$spiral (S3)$         &   0.985   &   +0.0   &   +0.3   &   0.946  &   0.996  &   +0.0  &  +0.5  &   0.869 \\
$barred spiral (SB3)$ &   0.095   &   +2.5   &   +3.2   &   0.005  &   0.401  &   +0.8  &  +1.7  &   0.194 \\
$others (O3)$         &   0.598   &   -0.9   &   +0.8   &   0.698  &   0.842  &   -0.3  &  +0.3  &   0.869 \\
\noalign{\smallskip}\hline
\end{array}
     $$
\end{table}