\begin{table}%t3
\caption{\label{table3}Best-fitting physical parameters and inferred rest-frame properties.}
%%\centering

\par
\begin{tabular}{l cc ccc ccc ccc cccc  c }  
\hline\hline \noalign{\smallskip}
Abbreviation      & $\chi^{2}_{\min}$/d.o.f\tablefootmark{a}     &  $\alpha$\tablefootmark{b}& ${\tau}_{9.7~{\mu}{\rm m}}$\tablefootmark{c} &
  $\Theta$\tablefootmark{d}&  $\tau_{\rm sf}$\tablefootmark{e}   & $E(B-V)$\tablefootmark{f}   & $L_{\rm acc}$\tablefootmark{g} & $L_{1-1000_{\rm ~{\mu}m}}^{h}$ &$L_{2-10~{\rm keV}}$\tablefootmark{i}
  &$L_{1.25-500~{\rm keV}}$\tablefootmark{l} & $L_{\rm bol}$\tablefootmark{m} & $k_{2-10~{\rm keV}}$\tablefootmark{n} &  $M_{\rm star}$\tablefootmark{o} & $M_{\rm BH}$\tablefootmark{p} & $\lambda_{\rm Edd}$\tablefootmark{q}   \\
\hline 
PKS~0537\#43 &  66.7/6 & --1.0 &   0.1 &    140  & 0.05 & 0.3 & 373.6 &    254 &6.8
&  26.3 &  400 [400--422] &  58.8& 49.4 & 10.05 & 0.032   \\
\par
PKS~0537\#11 & 7.8/5 &  0.0   &   2.0   &    140 & 0.7  & 0.64 &  17.6 &      7.4 &
 1.9 &  7.6     & 25.2 [14.1--34.4] &     12.9 & 1.20 & 0.28 & 0.070 \\
\par
PKS~0537\#164 &      9.0/5 &     0.0 &      3.0 &     60 & 0.15 &0.0 &    
99.8 &      4.9 &      3.1 &     12.1 & 112 [63.0--174] &     36.1 &1.29 & 0.30& 0.292 \\
\par
PKS~0537\#123 &      5.0/5 &           0.0 &      0.1 &    140 &1.0 &0.65 &
9.5 &      7.8 &      2.0 &      7.8  & 17.3 [17.3--36.4] &      8.6 &1.99 & 0.46 & 0.030  \\
\par
GD~158\#62 &      9.3/5 &   0.0 & 0.1 &    100 & 0.35 &0.44 & 85.1 &    39.7 &
4.9 &     19.0 & 104 [67.3--214] &     21.2 & 2.19 & 0.51 & 0.163 \\
\par
GD~158\#19 &      26.9/6 &           0.0 &      0.3 &    140 & 1.0&0.49 &
397. &      289.7&      6.3 &     24.4&
422 [422--465] &     67.0 & 12.3 & 2.64 & 0.127 \\
\par
Mrk~509\#01    &     17.9/5&        --0.5 &      6.0 & 60 & 0.9    &0.85 &
104.5 &      1.59 &      1.5 &      5.8&    111 [42.8--131] &
73.6 &1.98 & 0.46& 0.191 \\
\par
Mrk~509\#13   &     25.0/5 &           0.0 &      1.0 &    140   &0.6 & 1.0 &     23.2 &      13.0 &      2.6 &      10.1 &
 33.3 [27.1--53.9]  &     12.8 &  1.93 & 0.45& 0.059 \\
\par
Abell~2690\#75 &      17.5/5 &           0.0 &      1.0 & 140 & 0.05 & 0.18&     19.8&      11.0 &      3.2 &
12.4 &     32.2 [20.8--66.8] &     10.1 &2.73 & 0.62& 0.041 \\
\par
PKS~0312\#36 &      9.6/5  &           0.0 &      0.1 &    140 & 0.85& 0.79 &
3.0 &      2.5 &      0.7 &      2.7 & 5.7 [5.7--8.1] &     8.2&  0.43 & 0.11& 0.043  \\
\par
PKS~0537\#91 &      2.9/5 &           0.0 &      3.0 &    140 &0.25 &0.3 &       66.0 &      23.7 &      8.1 &     31.4 &
98.3 [40.2--326] &      12.1 &  1.48 &0.35& 0.224 \\
\par
PKS~0537\#54 &    2.9/5 &           0.0 &      0.1 &    140 &0.05 &0.17 &       5.6 &      4.6 &      2.0 &      7.8 &
13.3 [13.3--25.8] &      6.7 &  1.72 & 0.40& 0.026 \\
\par
PKS~0537\#111  &      11.4/5 &           --0.5 &     10.0 &  140 & 0.05 &0.31 &      103.1 &      13.4 &      1.7 &
6.6 &    110 [34.1--110] &     64.4 &  4.61 & 1.03& 0.084 \\
\par
Abell~2690\#29   &      0.5/2 &           0.0 &      1.0& 140 &  0.15& 0.55&   168.8 &     94.7 &      8.4 &
32.6 &    201 [135--264]  &     23.9 & 17.9 & 3.80 &  0.042  \\
\par
PKS~0312\#45  &      0.5/5 &           0.0 &      0.1 &    100 & 0.25  & 0.48& 24.25&     11.3 &      6.2 &   24.0 &
48.3 [37.4--239] &      7.8 & 3.61 & 0.81&  0.047 \\
\par
BPM~16274\#69 &      0.5/5 &           0.0 &      0.6 &    140 & 0.05 & 0.25  &  11.4 &      7.3 &      2.4 &      9.3 &
20.7 [18.2--56.6] &      8.6 & 4.68 & 1.05& 0.016 \\
\hline
\end{tabular}
\tablefoot{\tablefoottext{a}{Best-fitting minimum $\chi^{2}$ and number of degrees of freedom;}
\tablefoottext{b-d}{best-fitting torus parameters ($\alpha$: exponent of the power law
parameterizing the density profile; $\tau_{9.7~{\mu}{\rm m}}$: 9.7 ${\mu}$m optical
depth, $\Theta$: torus opening angle). The ratio parameter $R_{\max}/R_{\min}$ is frozen to 30; the
density parameter $\gamma$ is frozen to 0;}
\tablefoottext{e,~f}{best-fitting stellar parameters ($\tau_{\rm sf}$: duration of the
exponential decay of the burst in units of the oldest SSP; $E(B-V)$: extinction);}
\tablefoottext{g}{accretion-disk model luminosity (from soft \xray\ to
IR frequencies) which represents the torus model input luminosity, in units of
10$^{44}$~erg~s$^{-1}$;}
\tablefoottext{h}{torus luminosity in units of
10$^{44}$~erg~s$^{-1}$ (not corrected, see Sect.~\ref{bh_luminosity});}
\tablefoottext{i}{absorption-corrected luminosity in units of
10$^{44}$~erg~s$^{-1}$;}
\tablefoottext{l}{hard-\xray\ luminosity in units of
10$^{44}$~erg~s$^{-1}$ (derived from the 2--10~keV
luminosity, see Sect.~\ref{bolometric_correction});}
\tablefoottext{m}{bolometric AGN luminosity  ($L_{\rm acc}$+ $L_{1.25-500~{\rm keV}}$) in units of
10$^{44}$~erg~s$^{-1}$; the 1$\sigma$ range derived from the SED-fitting
analysis is reported; }
\tablefoottext{n}{2--10~keV bolometric correction ($L_{\rm bol}/L_{2-10~{\rm keV}}$);}
\tablefoottext{o}{galaxy masses in units of 10$^{11}~M_{\odot}$;}
\tablefoottext{p}{black hole masses in units of 10$^{9}~M_{\odot}$ (estimated from \citealt{2003ApJ...589L..21M},
relation);}
\tablefoottext{q}{Eddington ratios ($L_{\rm bol}/L_{\rm Edd}$).}}
\end{table}