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\usepackage{ifthen}
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\begin{document}
{\scriptsize
\[
\begin{array}{c|c|c|c|c|c|c}
i     & N_i                                 & a_i         & b_i                         & c_i                         & d_i          & f_i \\ \hline
1       & |A_0|^2                          & 1             & -\cos\phi_{ s\xspace\xspace}\xspace                  & 0                             & \sin\phi_{ s\xspace\xspace}\xspace   & 4\cos^2\theta_1\cos^2\theta_2 \\
2       & |A_\parallel |^2                 & 1             & -\cos\phi_{ s\xspace\xspace}\xspace                  & 0                             & \sin\phi_{ s\xspace\xspace}\xspace   & \sin^2\theta_1\sin^2\theta_2(1{+}\cos 2\Phi) \\
3       & |A_\perp |^2                     & 1             & \cos\phi_{ s\xspace\xspace}\xspace                   & 0                             & -\sin\phi_{ s\xspace\xspace}\xspace  & \sin^2\theta_1\sin^2\theta_2(1{-}\cos 2\Phi) \\
4       & |A_\parallel||A_\perp |       & 0             & -\cos\delta_1\sin\phi_{ s\xspace\xspace}\xspace      & \sin\delta_1      & -\cos\delta_1\cos\phi_{ s\xspace\xspace}\xspace& -2\sin^2\theta_1\sin^2\theta_2\sin 2\Phi \\
5       & |A_\parallel||A_0  |          & \cos(\delta_{2,1})             & - \cos(\delta_{2,1}) \cos\phi_{ s\xspace\xspace}\xspace                   & 0                             &  \cos(\delta_{2,1}) \sin\phi_{ s\xspace\xspace}\xspace   & \sqrt{2}\sin2\theta_1\sin2\theta_2\cos\Phi \\
6       & |A_0 ||A_\perp|               & 0             & -\cos\delta_2\sin\phi_{ s\xspace\xspace}\xspace      & \sin\delta_2      & -\cos\delta_2\cos\phi_{ s\xspace\xspace}\xspace& -\sqrt{2}\sin2\theta_1\sin2\theta_2\sin\Phi \\
7       & |A_{SS}|^2                       & 1             & -\cos\phi_{ s\xspace\xspace}\xspace                  & 0                             & \sin\phi_{ s\xspace\xspace}\xspace   & \frac{4}{9} \\
8       & |A_S|^2                          & 1             & \cos\phi_{ s\xspace\xspace}\xspace                   & 0                             & -\sin\phi_{ s\xspace\xspace}\xspace  & \frac{4}{3}(\cos\theta_1+\cos\theta_2)^2 \\
9       & |A_S| |A_{SS} |               & 0             & \sin(\delta_S{-}\delta_{SS})\sin\phi_{ s\xspace\xspace}\xspace & \cos(\delta_{SS}{-}\delta_{S}) & \sin(\delta_{SS}{-}\delta_{S})\cos\phi_{ s\xspace\xspace}\xspace & \frac{8}{3\sqrt{3}}(\cos\theta_1+\cos\theta_2)\\
10      & |A_0 | |A_{SS}| & \cos\delta_{SS}            & - \cos\delta_{SS} \cos\phi_{ s\xspace\xspace}\xspace                  & 0                             & \cos\delta_{SS}\sin\phi_{ s\xspace\xspace}\xspace   & \frac{8}{3}\cos\theta_1\cos\theta_2 \\
11      & |A_\parallel | |A_{SS} | &  \cos(\delta_{2,1}{-}\delta_{SS})               & -  \cos(\delta_{2,1}{-}\delta_{SS})  \cos\phi_{ s\xspace\xspace}\xspace                  & 0             &  \cos(\delta_{2,1}{-}\delta_{SS})  \sin\phi_{ s\xspace\xspace}\xspace   & \frac{4\sqrt{2}}{3}\sin\theta_1\sin\theta_2\cos\Phi \\
12      & |A_\perp | |A_{SS} |          & 0             & -\cos(\delta_2-\delta_{SS})\sin\phi_{ s\xspace\xspace}\xspace& \sin(\delta_2{-}\delta_{SS}) & -\cos(\delta_2{-}\delta_{SS})\cos\phi_{ s\xspace\xspace}\xspace&  -\frac{4\sqrt{2}}{3}\sin\theta_1\sin\theta_2\sin\Phi \\
\multirow{2}{*}{$13$}      &\multirow{2}{*}{$ |A_0 | |A_{S} | $}               &\multirow{2}{*}{$0$}             &\multirow{2}{*}{$ -\sin\delta_S\sin\phi_{ s\xspace\xspace}\xspace$}                & \multirow{2}{*}{$\cos\delta_S $}               & \multirow{2}{*}{ $ -\sin\delta_S\cos\phi_{ s\xspace\xspace}\xspace $} 
& \frac{8}{\sqrt{3}} \cos\theta_1\cos\theta_2\\
& & & & & & \times (\cos\theta_1 + \cos\theta_2) \\
\multirow{2}{*}{$14$}      &\multirow{2}{*}{$ |A_\parallel | |A_{S} | $}      & \multirow{2}{*}{$0$}             & \multirow{2}{*}{$ \sin(\delta_{2,1}-\delta_S)\sin\phi_{ s\xspace\xspace}\xspace $} &\multirow{2}{*}{$ \cos(\delta_{2,1}{-}\delta_S)  $}     &\multirow{2}{*}{$  \sin(\delta_{2,1}-\delta_S)\cos\phi_{ s\xspace\xspace}\xspace $} 
& \frac{4\sqrt{2}}{\sqrt{3}} \sin\theta_1\sin\theta_2\\
& & & & & & \times (\cos\theta_1 + \cos\theta_2)\cos\Phi \\
\multirow{2}{*}{$15$}      & \multirow{2}{*}{$ |A_\perp | |A_{S}| $} &  \multirow{2}{*}{$ \sin(\delta_2-\delta_S) $}  & \multirow{2}{*}{$ \sin(\delta_2-\delta_S) \cos\phi_{ s\xspace\xspace}\xspace $}                  & \multirow{2}{*}{0}                             & \multirow{2}{*}{$-  \sin(\delta_2-\delta_S) \sin\phi_{ s\xspace\xspace}\xspace $} 
& -\frac{4\sqrt{2}}{\sqrt{3}} \sin\theta_1\sin\theta_2\\
& & & & & & \times (\cos\theta_1 + \cos\theta_2)\sin\Phi \\
\end{array}
\]
}
\end{document}
