\begin{table}%t1
%\centering
\par
\caption{\label{tab:LFs4} Schechter parameters of the decomposed LFs$^{\rm a}$ in $r^*$.} 
\par
\begin{tabular}{l c c c c} 
\hline\hline \noalign{\smallskip}
\multicolumn{1}{c}{Type} & \multicolumn{1}{c}{$\phi^*(0.01~{\rm Mpc^{-3}})$} &  \multicolumn{1}{c}{$M^*(r^*)$} & \multicolumn{1}{c}{$\alpha$} & \multicolumn{1}{c}{$\chi_{\rm fit}^2$}\\
\multicolumn{1}{c}{(1)} & \multicolumn{1}{c}{(2)} & \multicolumn{1}{c}{(3)} & \multicolumn{1}{c}{(4)} & \multicolumn{1}{c}{(5)}\\
\hline 
E-S0a 	   & 0.20 $\pm$ 0.22 & --21.51 $\pm$ 0.20 & --1.0\tablefootmark{b} & 7.8e-11\\  
Sa-Sab     & 0.3 $\pm$ 0.4  & --20.62 $\pm$ 0.03  &  --0.49 $\pm$ 0.14 & 1.3e-10\\ 
Sb-Sbc	   &  0.169 $\pm$ 0.007 &  --21.27 $\pm$ 0.04 &  --1.13 $\pm$ 0.03 & 8.7e-10\\
Sc-Scd 	   &  0.1 $\pm$ 0.4  & --21.06 $\pm$ 0.04 &  --0.69 $\pm$ 0.15 & 1.4e-10\\ 
Sd-Irr      &  0.037 $\pm$ 0.020  & --20.94 $\pm$ 0.07 &   --1.90 $\pm$ 0.03 & 2.0e-9  \\
\hline 
\end{tabular}
\tablefoot{\tablefootmark{a}{Provided for $h\equiv H_0/100 = 1$. Magnitudes in the Vega system;}
\tablefootmark{b}{fixed $\alpha$ value (see Appendix~\ref{append:LFdistribution}).}}
\end{table}