\begin{table}%t2
\caption{\label{tab_phot_nir2}Structural properties of the dwarfs$^a$; see Sect.~\ref{deco_nir2} for explanations. See also discussions of individual objects.}
%\centerline
{
\begin{tabular}{llcccccccccccc}
\hline
\hline
Name & Band & $(\mu_{E,0})^c$ & $\alpha $ & $m_{\rm LSB}^{\rm fit}$ &
$P_{\rm iso}$  & $m_{P_{\rm iso}}$ & $E_{\rm iso}$ & $m_{\rm E_{\rm iso}}$  & $m_{\rm SBP}$ &
$(m_{\rm tot})^c$ & $r_{\rm eff}$,$r_{80}$ & $\eta _{\rm SBP}$ & $\sigma _{\rm cal}$ \\
($b$,$q$)$^b$&     & \sbb\ &  kpc   & mag    & kpc       &  mag       &  kpc
          &  mag             &    mag & mag & kpc & & mag\\
              &   &       &       & & & & & & & & & & \\ 
   (1) &   (2)         &   (3)     &  (4)      &   (5)            &
 (6)    &  (7)             &  (8)     &  (9)  & (10) & (11) & (12) & (13) & (14) \\
\hline
Mkn~314     	&$J$ & 19.10~$\pm$~0.13 & 1.00~$\pm$~0.04  & 12.84 & 1.85 & 12.84 & 3.58 & 12.99 & 12.12 & 12.05~$\pm$~0.01 & 0.88,1.86 & 1.46 & 0.03\\
$\star^f$         &$H$ & 18.61~$\pm$~0.15 & 1.09~$\pm$~0.05  & 12.17 & 1.70 & 12.26 & 3.39 & 12.39 & 11.51 & 11.38~$\pm$~0.01 & 0.90,1.96 & 1.50 & 0.03\\
               	&$K'$& 18.73~$\pm$~0.17& 1.22~$\pm$~0.07& 12.04 & 2.12 & 11.77 & 3.67 & 12.28 & 11.21 & 11.17~$\pm$~0.02 & 0.88,1.88 & 1.45 & 0.03\\
\hline
Mkn~209     	&$J$ & 20.21~$\pm$~0.06 & 0.23~$\pm$~0.01  & 13.63 & 0.16 & 16.37 & 0.60 & 13.98 & 13.69 & 13.48~$\pm$~0.01 & 0.29,0.47 & 1.69 & 0.03\\
$\star^f$       &$H^{d,i}$ & --  &  -- & --  &  -- &  -- &  -- &  -- & 13.38 & 13.15~$\pm$~0.01 & 0.29,0.45 & 1.31 & 0.06\\
               	&$K'^h$&  -- &  -- &  -- &  -- &  -- &   -- &  -- & 13.10 & 13.01~$\pm$~0.06 & 0.28,0.44 & 1.37 & 0.07\\
\hline
Mkn~996     	&$J$ & 18.20~$\pm$~0.03 & 0.40~$\pm$~0.01  & 13.17 & 0.67 & 14.50 & 1.77 & 13.24 & 12.91 & 12.87~$\pm$~0.01 & 0.51,1.01 & 1.53 & 0.03\\
$\star$         &$H$ & 17.80~$\pm$~0.04 & 0.42~$\pm$~0.01  & 12.65 & 0.69 & 13.74 & 1.64 & 12.76 & 12.33 & 12.26~$\pm$~0.01 & 0.51,1.03 & 1.67 & 0.04\\
               	&$K'^e$&17.48~$\pm$~0.05& 0.43~$\pm$~0.01  & 12.32 & 0.68 & 13.20 & 1.77 & 12.41 & 12.04 & 11.94~$\pm$~0.02 & 0.42,0.84 & 1.90 & 0.05\\
\hline
Mkn~370     	&$J$ & 18.85~$\pm$~0.05 & 0.64~$\pm$~0.01  & 11.52 & 0.80 & 12.80 & 2.43 & 11.64 & 11.29 & 11.27~$\pm$~0.01 & 0.72,1.49 & 1.68 & 0.03 \\
$\star^g$         &$H$ & 18.36~$\pm$~0.06 & 0.63~$\pm$~0.01  & 11.04 & 0.84 & 12.14 & 2.12 & 11.22 & 10.74 & 10.72~$\pm$~0.04 & 0.71,1.46 & 1.72 & 0.07\\
               	&$K'$& 18.00~$\pm$~0.22 & 0.59~$\pm$~0.04  & 10.83 & 0.78 & 12.03 & 2.17 & 10.97 & 10.57 & 10.46~$\pm$~0.03 & 0.67,1.39 & 1.55 & 0.05\\
\hline
I~Zw~115     	&$J$& 19.52~$\pm$~0.13 & 0.53~$\pm$~0.02  & 13.68 & 0.85 & 15.05 & 1.68 & 14.01 & 13.46 & 13.26~$\pm$~0.02 & 0.88,1.46 & 1.15 & 0.04\\
$(2.3,0.8)$     &$H$& 19.23~$\pm$~0.35 & 0.56~$\pm$~0.06  & 13.25 & 0.80 & 14.49 & 1.35 & 13.91 & 13.00 & 12.89~$\pm$~0.07 & 0.88,1.46 & 1.15 & 0.06\\
               	&$K'^h$& --           & --            & --   & --  & --   & --  & --   & 12.87 & 12.64~$\pm$~0.07 & 0.80,1.32 & 1.13 & 0.08\\
\hline
Mkn~5     	&$J$ & 19.03~$\pm$~0.04 & 0.37~$\pm$~0.01 & 13.73 & 0.54 & 15.90 & 1.35 & 13.90 & 13.73 & 13.58~$\pm$~0.01 & 0.56,0.92 & 1.08 & 0.03\\
$(1.4,0.65)$    &$H$ & 18.78~$\pm$~0.07 & 0.40~$\pm$~0.01 & 13.30 & 0.58 & 14.94 & 1.18 & 13.56 & 13.21 & 13.16~$\pm$~0.02 & 0.57,0.92 & 1.04 & 0.04\\
               	&$K'$& 18.41~$\pm$~0.06 & 0.40~$\pm$~0.01 & 12.92 & 0.56 & 14.86 & 1.33 & 13.14 & 12.93 & 12.78~$\pm$~0.02 & 0.57,0.91 & 1.22 & 0.05\\
\hline
Mkn~600     	&$J$ & 19.35~$\pm$~0.08 & 0.30~$\pm$~0.01 & 13.93 & 0.41 & 15.63 & 0.99 & 14.11 & 13.86 & 13.78~$\pm$~0.04 & 0.35,0.64 & 1.34 & 0.05\\
$\star^f$    	&$H$ & 19.09~$\pm$~0.08 & 0.32~$\pm$~0.01 & 13.48 & 0.40 & 15.07 & 0.87 & 13.79 & 13.41 & 13.23~$\pm$~0.07 & 0.36,0.66 & 1.35 & 0.07\\
               	&$K'^d$& 19.01~$\pm$~0.25 & 0.32~$\pm$~0.04 & 13.42 & 0.43 & 14.67 & 0.88 & 13.72 & 13.25 & 13.13~$\pm$~0.07 & 0.35,0.65 & 1.52 & 0.06\\
\hline
NGC~6789     	&$J$ & 18.79~$\pm$~0.13 & 0.20~$\pm$~0.01 & 11.93 & 0.31 & 13.96 & 0.75 & 12.11 & 11.82 & 11.78~$\pm$~0.03 & 0.33,0.57 & 1.07 & 0.03\\
$(3.3,0.70)$    &$H$ & 18.37~$\pm$~0.08 & 0.20~$\pm$~0.01 & 11.51 & 0.25 & 13.56 & 0.64 & 11.78 & 11.38 & 11.32~$\pm$~0.03 & 0.33,0.56 & 1.13 & 0.03\\
               	&$K'$& 18.12~$\pm$~0.32 & 0.20~$\pm$~0.02 & 11.25 & 0.23 & 13.58 & 0.69 & 11.48 & 11.19 & 11.08~$\pm$~0.04 & 0.34,0.57 & 1.26 & 0.02\\
\hline
Mkn~324     	&$J$ & 17.81~$\pm$~0.03 & 0.28~$\pm$~0.01 & 13.68 & 0.57 & 14.61 & 1.35 & 13.73 & 13.32 & 13.25~$\pm$~0.01 & 0.34,0.67 & 1.26 & 0.04\\
$\star$    	&$H$ & 17.36~$\pm$~0.10 & 0.29~$\pm$~0.01 & 13.17 & 0.55 & 14.08 & 1.24 & 13.26 & 12.81 & 12.75~$\pm$~0.02 & 0.34,0.68 & 1.30 & 0.04\\
               	&$K'^d$&16.93~$\pm$~0.12& 0.26~$\pm$~0.01 & 12.94 & 0.50 & 14.07 & 1.24 & 13.00 & 12.66 & 12.55~$\pm$~0.02 & 0.32,0.62 & 1.23 & 0.05\\
\hline
Mkn~450     	&$J$ & 19.91~$\pm$~0.04 & 0.87~$\pm$~0.01 & 13.09 & 1.41 & 14.41 & 2.48 & 13.43 & 12.90 & 12.80~$\pm$~0.01 & 1.25,2.08 & 1.46 & 0.05\\
$(1.5,0.65)$    &$H^d$&19.17~$\pm$~0.13 & 0.80~$\pm$~0.03 & 12.55 & 1.18 & 14.18 & 2.08 & 12.96 & 12.37 & 12.35~$\pm$~0.01 & 1.22,2.01 & 1.06 & 0.07\\
               	&$K'^h$& --           & --            & --   & --  & --   & --  & --   & 12.16 & 12.05~$\pm$~0.02 & 1.20,1.99 & 1.27 & 0.05\\
\hline
NGC~5058     	&$J$ & 19.08~$\pm$~0.13 & 0.47~$\pm$~0.02 & 12.47 & 0.72 & 13.67 & 1.70 & 12.62 & 12.21 & 12.18~$\pm$~0.01 & 0.56,1.13 & 1.44 & 0.05\\
$\star^f$    	&$H$ & 18.95~$\pm$~0.05 & 0.52~$\pm$~0.01 & 12.14 & 0.80 & 12.71 & 1.45 & 12.42 & 11.65 & 11.67~$\pm$~0.02 & 0.55,1.10 & 1.42 & 0.07\\
               	&$K'$& 18.62~$\pm$~0.14 & 0.49~$\pm$~0.02 & 11.94 & 0.79 & 12.56 & 1.52 & 12.15 & 11.49 & 11.48~$\pm$~0.03 & 0.52,1.02 & 1.46 & 0.07\\
\hline
\end{tabular}}
\smallskip
$^a$  All values are corrected for Galactic extinction, 
adopting the $A_B$ from Table~\ref{tab_sample_nir2}.\\
$^b$  See Sect.~\ref{deco_nir2} for details. Objects for which the
LSB~component was modelled by a pure exponential (Eq.~(\ref{exponential_nir2}))
are marked with an asterisk.\\
 $^c$  Errors do not include the calibration uncertainties given in Col.~14.\\
$^d$  Decomposition less reliable in this filter (low $S/N$, or data affected by nearby bright stars).\\
$^e$  $K'$ SBP less deep than $J$ and $H$; effects on Cols.~10, 11 and~13.\\
$^f$  Small systematic deviations from an exponential LSB~profile, likely type~V~SBP  (see notes of caution in Sect.~\ref{deco_nir2}).\\
$^g$  Small systematic deviations from an exponential LSB~profile, possible type~V~SBP  (see Sect.~\ref{mkn370}, and notes of caution in Sect.~\ref{deco_nir2}).\\
 $^h$  Detected or likely type~V~SBP restricts exponential part of LSB~fit to low $S/N$ region, preventing robust decomposition in the $K$~band.\\
  $^i$  Likely type~V~SBP, cannot be reliably modelled; exponential LSB~fit yields unphysical $H$ band decomposition (see Sect.~\ref{mkn209}).  
\end{table}