\begin{table}%t2 
\par
\caption{\label{t2}Parameters from the non-coplanar analysis.}
%\centerline
 {\begin{tabular}{lccccc}
\hline
\hline
\textit{Orbital parameters} \\
Parameter & Planet b & Planet c & Planet d & & \\
\hline 
$m$       &  $\rm 2.64^{+0.11}_{-0.09}$~$M_{\rm Jup}$ &  $\rm 0.78^{+0.05}_{-0.03}$~$M_{\rm Jup}$  &  $\rm 8.41^{+0.78}_{-0.75}$~$M_{\oplus}$ & & \\ 
$a$~ (AU)  &  $\rm 0.20700^{+0.00010}_{-0.00009}$ & $\rm 0.13062^{+0.00005}_{-0.00005}$ & $\rm 0.0208069^{+0.0000004}_{-0.0000004}$ & &  \\ 
$e$        & $\rm 0.0363^{+0.0028}_{-0.0026}$ & $\rm 0.2683^{+0.0058}_{-0.0052}$ & 0.0 (Fixed)  & & \\ 
$\omega$~ ($\degr$) & $\rm 188.2^{+4.9}_{-4.0}$ & $\rm 200.4^{+1.8}_{-1.9}$ & 0.0 (Fixed)  & & \\  
$M$~ ($\degr$) & $\rm 163.1^{+4.0}_{-4.9}$ & $\rm 309.1^{+1.9}_{-1.7}$ & $\rm 312.2^{+4.9}_{-5.0}$  & & \\ 
$i$~ ($\degr$) & $\rm 47.2^{+2.2}_{-2.4}$ & $\rm 51.1^{+3.6}_{-3.9}$ & 47.2 (Tied)  & & \\ 
$\Omega$~ ($\degr$) & $\rm 252.3^{+8.4}_{-7.7}$ & $\rm 249.4^{+7.1}_{-8.4}$ & 252.3 (Tied)  & & \\ 
\hline
\textit{Astrometric parameters}\\
Star   &  $\xi$   &   $\eta$   &  $\pi_{\rm abs}$  &   $\mu_{\alpha}$   &  $\mu_{\delta}$ \\
      &  (arcsec)    &   (arcsec)   &  (mas)  &   $\rm (mas~yr^{-1}$)   &  $\rm (mas~yr^{-1}$) \\
\hline 
GJ~876 & $\rm 51.9001^{+0.0004}_{-0.0004}$ & $\rm 730.3929^{+0.0003}_{-0.0003}$ & $\rm 215.5^{+0.4}_{-0.5}$ & $\rm 955.7^{+1.7}_{-1.7}$ & $\rm -673.4^{+1.1}_{-1.1}$ \\ 
Ref-2 & $\rm -27.8463^{+0.0003}_{-0.0003}$ & $\rm 767.6817^{+0.0005}_{-0.0005}$ & $\rm 1.0^{+0.3}_{-0.3}$ & $\rm 5.5^{+1.6}_{-1.7}$ & $\rm -16.0^{+1.2}_{-1.1}$ \\ 
Ref-3 & $\rm -226.2855^{+0.0005}_{-0.0005}$ & $\rm 759.8752^{+0.0007}_{-0.0007}$ & $\rm 3.1^{+0.4}_{-0.4}$ & $\rm 14.2^{+2.0}_{-2.0}$ & $\rm 2.4^{+1.6}_{-1.7}$ \\ 
Ref-4 & $\rm -297.4706^{+0.0005}_{-0.0005}$ & $\rm 639.3754^{+0.0005}_{-0.0005}$ & $\rm 2.3^{+0.6}_{-0.6}$ & $\rm -39.8^{+2.2}_{-2.2}$ & $\rm -43.0^{+1.2}_{-1.2}$ \\ 
Ref-5 & $\rm 450.9640^{+0.0006}_{-0.0006}$ & $\rm 635.2999^{+0.0004}_{-0.0004}$ & $\rm 4.7^{+0.6}_{-0.7}$ & $\rm 7.3^{+3.0}_{-3.3}$ & $\rm -1.2^{+2.4}_{-2.2}$ \\ 
Ref-6 & $\rm 351.6679^{+0.0005}_{-0.0005}$ & $\rm 594.2625^{+0.0005}_{-0.0005}$ & $\rm 1.9^{+0.3}_{-0.3}$ & $\rm -13.1^{+2.4}_{-2.7}$ & $\rm -3.8^{+2.3}_{-2.1}$ \\ 
\hline
\textit{Fit information} \\
Parameter  &  Value & & & & \\
\hline  
$\chi^{2}$   & 855.8  & & & & \\ 
d.o.f.          & 841    & & & & \\ 
Radial velocity rms (m~s$^{-1}$) & 4.2  & & & &\\ 
Astrometry rms (mas) & 0.9  & & & &\\ 
\hline
\end{tabular}}
\par
\smallskip
Note: Planet d's inclination and longitude of the ascending node were tied to those of planet b. The orbital parameters are osculating and valid at HJD~2~452~490.0. The coordinates ($\xi$ and~$\eta$) are relative positions in the reference frame of the constraint plate. To convert to the RA -- Dec reference frame, the coordinates should be rotated about the inverse of the determined roll angle ($26.07\degr^{~+0.04\degr}_{~-0.04\degr}$). The $\chi^{2}$ and rms shown are for the best-fit model.
\end{table}