\begin{table}%t4
\caption{\label{disks}Disk modeling results$^1$.}  
%\centerline
 {\small 
\begin{tabular}{lllllllll}  
\hline\hline 
Name & Dust & Inner radius & Rim T & Rim height & Density & Inclination & Outer radius & Dispersion \\
 & Mass ($M_\odot$) & (AU) & (K) & (AU) & slope & (degrees) & (AU) & \\  
\hline 
MWC~137  & $1.0\times10^{-5}$ $^{2\times 10^{-4}}_{5\times10^{-6}}$ & 8.4 & & & $-1 ^{\rm -}_{> -1.2}$ & $80 ^{\rm 90}_{70}$ & $18 ^{\rm 25}_{-}$ & 0.20 \\  
R~Mon    & $1.4\times 10^{-4}$ $^{2 \times 10^{-4}}_{9 \times 10^{-5}}$ & 18.2 & & & $-0.45 ^{\rm 0.0}_{-1.0}$ & $60 ^{\rm 70}_{40}$ & $150 ^{\rm 200}_{100}$ & 0.09 \\ 
MWC~1080 & $5.0\times10^{-5}$ $^{1\times 10^{-4}}_{2.5\times10^{-5}}$ & 5.6  & 1500 & 1.0 & $-0.55 ^{\rm -0.2}_{-0.8}$ & $83 ^{\rm 90}_{50}$ & $77 ^{\rm 100}_{60}$ & 0.08 \\  
MWC~297  & $5.3\times10^{-4}$ $^{8.0\times10^{-4}}_{4.5\times10^{-4}}$ & 5.0 & 1800 & 1.2 & $-0.77^{\rm -0.6}_{-0.9}$ & $5 ^{\rm 10}_{0}$ & $28.5^{\rm 30}_{25}$ & 0.19 \\  
& $4.0\times10^{-4}$ $^{6.0\times10^{-4}}_{3\times10^{-4}}$ & $200 ^{\rm 100}_{300}$ &  &  & &  & $300 ^{\rm 200}_{400}$ & \\  
LKH$\alpha$~215 & $6.0 \times 10^{-8}$ $^{9 \times 10^{-8}}_{4 \times 10^{-8}}$ & 3.5 & & & $-1.4 ^{\rm -1.2}_{-1.8}$ & $30 ^{\rm 50}_{0}$ & $9.2 ^{\rm 20}_{-}$ & 0.1 \\  
Z~CMa  & $7.0 \times 10^{-4}$ $^{1.4 \times 10^{-3}}_{3.5 \times 10^{-4}}$ & 7.5 & 1500 & 1.9 & -0.7 $^{\rm -}_{>-1.0}$ & $30 ^{\rm 40}_{20}$ & $180 ^{\rm 250}_{140}$ & 0.15 \\ 
 \hline 
\end{tabular}}
\medskip
$^1$~In the case of fitted parameters, we provide in small figures the range of allowed values. These values correspond to numerical errors. See Sect.~5.7 for further discussion of the uncertainties in the disk parameters.
\end{table}