\begin{table}%t2
\caption{Velocity-integrated intensities (in K~km~s$^{-1}$), upper state
  column densities in cm$^{-2}$ calculated using Eq.~(\ref{EqNup}) and
  critical densites in cm$^{-3}$ for the detected multiple-transitions
  ``parent'' molecules used in the excitation analysis. In a few cases,
  extra integrated-intensity values (listed in italics) as found in
  literature are added to perform the excitation analysis. Literature
  references are given in the footnote.}\label{Table_results}
\par
  \small%\centerline
 {
\begin{tabular}{lcccccccccc}
\hline \hline
&  & SiO(5$-$4) & SiO(6$-$5) & SiO(7$-$6) & SiO(8$-$7) & HCN(3$-$2) &
HCN(4$-$3) & CS(5$-$4) & CS(6$-$5) & CS(7$-$6) \\
\hline
%&&&&&&&&&& \\[-8pt]
& $\int T_{\rm mb}~{\rm d}v$ & 9.2 & 11.1 & 10.4 & & 9.9 & 8.9 & 2.4 &
[0.8]$^{\dagger}$ & 1.3 \\
\raisebox{1.5ex}[0pt]{WX Psc} & $N_{\rm u}$  &  $7.96 \times 10^{12}$ & $7.91 \times 10^{12}$ &
$5.15 \times 10^{12}$ & & $7.96 \times 10^{12}$ & $4.22 \times
10^{12}$ & $ 2.53 \times 10^{12}$ & $1.08 \times 10^{12}$ & $1.41
\times 10^{12}$ \\
\hline
%&&&&&&&&&& \\[-8pt]
& $\int T_{\rm mb}~{\rm d}v$ & 7.1 & 8.9 & 5.2 & & 21.7 & 12.2 &
\emph{8.5}$^a$ & 2.3 & 4.6 \\
\raisebox{1.5ex}[0pt]{W Aql} & $N_{\rm u}$ & $6.19 \times 10^{12}$ & $6.36 \times 10^{12}$ & $2.57 \times 10^{12}$ & & $1.74  \times 10^{13}$ & $5.81 \times 10^{12}$ & $8.95 \times
10^{12}$ & $3.03 \times 10^{12}$ & $5.00  \times 10^{12}$ \\
\hline
%&&&&&&&&&& \\[-8pt]
& $\int T_{\rm mb}~{\rm d}v$ & & & 19.62 &
\emph{20.4}$^b$ &
\emph{139.76}$^c$ & 60.69 & \emph{32.34}$^c$
& 20.37 & 35.24 \\
\raisebox{1.5ex}[0pt]{II Lup} & $N_{\rm u}$ & & & $6.96 \times 10^{12}$ &
$8.74 \times 10^{12}$ & $1.24 \times 10^{14}$ & $2.88 \times 10^{13}$
& $6.85 \times 10^{13}$ & $2.61 \times 10^{13}$ & $3.83 \times
10^{13}$ \\
\hline
%&&&&&&&&&& \\[-8pt]
& $\int T_{\rm mb}~{\rm d}v$ & 3.8 & 5.1 & &
\emph{8.4}$^d$ & 25.7 & \emph{31.9}$^d$ & 7.4
& & \\
\raisebox{1.5ex}[0pt]{V Cyg} & $N_{\rm u}$ & $3.33 \times 10^{12}$ & $3.51
\times 10^{12}$ & & $5.28 \times 10^{12}$ & $2.06 \times 10^{13}$ &
$1.51 \times 10^{13}$ & $1.41 \times 10^{13}$ & & \\
\hline
%&&&&&&&&&& \\[-8pt]
  at 40~K &  $n_{{\rm crit}}$ & $3.06 \times 10^{6}$ & $5.26 \times 10^{6}$ & $8.41
\times 10^{6}$ & $1.27 \times 10^{7}$ & $5.83 \times 10^{6}$ & $1.32
\times 10^{7}$ & $1.85 \times 10^{6}$ & $3.22 \times 10^{6}$ & $5.09
\times 10^{6}$ \\
 at 100~K &  $n_{{\rm crit}}$ &$2.00 \times 10^{6}$ & $3.44 \times 10^{6}$ & $5.57
\times 10^{6}$ & $8.18 \times 10^{6}$ & $4.22 \times 10^{6}$ & $9.63
\times 10^{6}$ & $1.35 \times 10^{6}$ & $2.37 \times 10^{6}$ & $3.76
\times 10^{6}$ \\
  at 300~K &  $n_{{\rm crit}}$ & $1.22 \times 10^{6}$ & $2.10 \times 10^{6}$ & $3.44
\times 10^{6}$ & $5.12 \times 10^{6}$ & $2.35 \times 10^{6}$ & $5.65
\times 10^{6}$ & $8.35 \times 10^{5}$ & $1.48 \times 10^{6}$ & $2.37
\times 10^{6}$ \\
\hline
\end{tabular}}
\medskip
$^a$ \citet{Bujarrabal1994AetA...285..247B}; $^b$ \citet{Schoier2006ApJ...649..965S}; $^c$
\citet{Woods2003AetA...402..617W}; $^d$ \citet{Bieging2000ApJ...543..897B}. \\
$^{\dagger}$ Line detected however with small S/N so that the  
integrated intensity is quite uncertain.
\end{table}