\begin{table}%t2
\caption{\label{tab2}Photometric and astrometric properties of the observed binary/multiple M~dwarfs.}
\small%\centering
\par
\begin{tabular}{lrrrrllr}
\hline\hline\noalign{\smallskip}
Primary ID & $\Delta z^\prime$ & $\Delta i^\prime$  & $\rho$ & $\theta$ & New\tablefootmark{a} & $f_{\rm Mult}$\tablefootmark{b} & $q$\tablefootmark{c} \\
(2MASS)	  &		&		&[$\arcsec$]		&[$\degr$] & (y/n)	&	&	\\	
\hline
J00150240-7250326		&	2.13~$\pm$~0.18	&	1.31~$\pm$~0.14		&	0.290~$\pm$~0.009		&	69.1~$\pm$~0.3	&	y	&	y	&	y	\\
J00250428-3646176		&	2.99~$\pm$~0.21	&	2.59~$\pm$~0.23		&	0.605~$\pm$~0.012		&	242.4~$\pm$~0.3	&	y	&	y	&	y	\\
J00503319+2449009		&	0.79~$\pm$~0.01	&	0.94~$\pm$~0.02		&	1.305~$\pm$~0.002		&	318.9~$\pm$~0.3	&	n	&	y	&	y	\\
J01071194-1935359		&	1.16~$\pm$~0.05	&	0.65~$\pm$~0.03		&	0.417~$\pm$~0.001		&	170.0~$\pm$~0.3	&	y 	&	y	&	y	\\
J01093874-0710497		&	1.90~$\pm$~0.01	&	2.02~$\pm$~0.01		&	2.554~$\pm$~0.001		&	74.5~$\pm$~0.3	&	n	&	y	&	y	\\
J01132817-3821024		&	0.37~$\pm$~0.01	&	0.22~$\pm$~0.01		&	1.405~$\pm$~0.003		&	29.0~$\pm$~0.3	&	y	&	y	&	y	\\
J01365516-0647379		&	5.07~$\pm$~0.01	&	...			&	5.587~$\pm$~0.004		&	179.9~$\pm$~0.3	&	y	&	y	&	n	\\
J01452133-3957204\tablefootmark{d}	&	2.00~$\pm$~0.10	&	2.39~$\pm$~0.16		&	0.943~$\pm$~0.009		&	130.9~$\pm$~0.3	&	y	&	n	&	n	\\
J01535076-1459503		&	0.01~$\pm$~0.01	&	0.13~$\pm$~0.01		&	2.876~$\pm$~0.001		&	291.9~$\pm$~0.3	&	y	&	y	&	y	\\
J02002975-0239579		&	0.75~$\pm$~0.06	&	0.89~$\pm$~0.05		&	0.323~$\pm$~0.001		&	5.9~$\pm$~0.3	&	y 	&	y	&	y	\\
J02133021-4654505		&	0.73~$\pm$~0.27	&	1.45~$\pm$~0.08		&	0.135~$\pm$~0.001		&	124.9~$\pm$~0.3	&	y 	&	y	&	y	\\
J02155892-0929121AB		&	2.62~$\pm$~0.05	&	2.80~$\pm$~0.05		&	0.631~$\pm$~0.001		&	292.2~$\pm$~0.3	&	y 	&	y	&	y	\\
J02155892-0929121AC		&	4.99~$\pm$~0.05	&	5.52~$\pm$~0.10		&	3.509~$\pm$~0.002		&	299.3~$\pm$~0.3	&	y 	&	y	&	y	\\
J02165488-2322133		&	0.91~$\pm$~0.01	&	0.92~$\pm$~0.01		&	4.369~$\pm$~0.001		&	314.1~$\pm$~0.3	&	n	&	y	&	y	\\
J02271603-2929263		&	1.67~$\pm$~0.02	&	1.77~$\pm$~0.01		&	1.939~$\pm$~0.001		&	236.8~$\pm$~0.3	&	y 	&	y	&	y	\\
J02335984-1811525		&	0.29~$\pm$~0.01	&	$-$1.02~$\pm$~0.05		&	0.854~$\pm$~0.001		&	48.9~$\pm$~0.3	&	y 	&	y	&	y	\\
J02411909-5725185		&	1.31~$\pm$~0.02	&	1.47~$\pm$~0.02		&	1.526~$\pm$~0.001		&	287.1~$\pm$~0.3	&	y	&	y	&	y	\\
J02451431-4344102		&	1.12~$\pm$~0.07	&	0.87~$\pm$~0.03		&	0.257~$\pm$~0.001		&	214.6~$\pm$~0.3	&	y	&	y	&	y	\\
J02490228-1029220AB		&	1.33~$\pm$~0.06	&	1.42~$\pm$~0.12		&	0.481~$\pm$~0.006		&	209.5~$\pm$~0.3	&	y	&	y	&	y	\\
J02490228-1029220AC		&	1.39~$\pm$~0.06	&	1.49~$\pm$~0.11		&	0.622~$\pm$~0.012		&	210.7~$\pm$~0.3	&	y	&	y	&	y	\\
J03033668-2535329		&	5.14~$\pm$~0.06	&	3.69~$\pm$~0.16		&	0.834~$\pm$~0.005		&	7.6~$\pm$~0.3	&	n	&	y	&	y	\\
J03050976-3725058		&	0.93~$\pm$~0.10	&	0.94~$\pm$~0.07		&	0.242~$\pm$~0.004		&	53.7~$\pm$~0.3	&	y	&	y	&	y	\\
J04071148-2918342\tablefootmark{d}	&	0.70~$\pm$~0.05	&	0.48~$\pm$~0.20		&	0.295~$\pm$~0.001		&	44.4~$\pm$~0.3	&	y	&	n	&	n	\\
J04080543-2731349		&	1.78~$\pm$~0.06	&	1.00~$\pm$~0.10		&	0.181~$\pm$~0.005		&	218.1~$\pm$~0.3	&	y	&	y	&	y	\\
J04132663-0139211		&	0.95~$\pm$~0.02	&	$-$0.45~$\pm$~0.03		&	0.771~$\pm$~0.001		&	358.8~$\pm$~0.3	&	n	&	y	&	y	\\
J04373746-0229282\tablefootmark{d,f}	&	1.39~$\pm$~0.16	&	2.57~$\pm$~0.05		&	0.221~$\pm$~0.002		&	20.5~$\pm$~0.3	&	n	&	n	&	n	\\
J04441107-7019247		&	0.79~$\pm$~0.01	&	1.09~$\pm$~0.01		&	2.654~$\pm$~0.001		&	157.5~$\pm$~0.3	&	n	&	y	&	y	\\
J05241914-1601153		&	0.36~$\pm$~0.03	&	0.43~$\pm$~0.01		&	0.639~$\pm$~0.001		&	69.1~$\pm$~0.3	&	y	&	y	&	y	\\
J05254166-0909123		&	0.45~$\pm$~0.07	&	0.53~$\pm$~0.09		&	0.616~$\pm$~0.004		&	58.8~$\pm$~0.3	&	n	&	y	&	y	\\
J06161032-1320422		&	1.94~$\pm$~0.12	&	1.40~$\pm$~0.23		&	0.194~$\pm$~0.008		&	170.6~$\pm$~0.3	&	y	&	y	&	y	\\
J06583980-2021526AB		&	0.25~$\pm$~0.01	&	0.33~$\pm$~0.01		&	1.420~$\pm$~0.001		&	199.0~$\pm$~0.3	&	y	&	y	&	y	\\
J06583980-2021526AC\tablefootmark{e}	&	5.89~$\pm$~0.02	&	...	&	6.992~$\pm$~0.002		&	263.3~$\pm$~0.3	&	y	&	n	&	n	\\
J06583980-2021526AD		&	6.91~$\pm$~0.03	&	...	&	5.149~$\pm$~0.001		&	253.9~$\pm$~0.3	&	y	&	y	&	n	\\
J07102991-1637350AB		&	0.46~$\pm$~0.09	&	0.64~$\pm$~0.05		&	0.568~$\pm$~0.001		&	354.9~$\pm$~0.3	&	y	&	y	&	y	\\
J07102991-1637350AC		&	5.26~$\pm$~0.46	&	...	&	2.021~$\pm$~0.008		&	287.6~$\pm$~0.3	&	y	&	y	&	y	\\
J07105990-5632596		&	1.83~$\pm$~0.07	&	4.17~$\pm$~0.07		&	1.120~$\pm$~0.006		&	309.8~$\pm$~0.3	&	y	&	y	&	y	\\
J07174710-2558554\tablefootmark{f}	&	6.35~$\pm$~0.04	&	...	&	5.332~$\pm$~0.002		&	126.8~$\pm$~0.3	&	y	&	n	&	n	\\
J07285137-3014490		&	1.29~$\pm$~0.11	&	1.50~$\pm$~0.18		&	0.485~$\pm$~0.002		&	169.9~$\pm$~0.3	&	n	&	y	&	y	\\
J08224744-5726530AB		&	4.47~$\pm$~0.04	&	5.32~$\pm$~0.05		&	0.648~$\pm$~0.002		&	128.7~$\pm$~0.3	&	y	&	y	&	n	\\
J08224744-5726530AC\tablefootmark{e}	&	1.83~$\pm$~0.04	&	...	&	8.429~$\pm$~0.001		&	26.1~$\pm$~0.3	&	n	&	n	&	n	\\
J19425324-4406278		&	...	&	1.39~$\pm$~0.11		&	0.836~$\pm$~0.002		&	349.8~$\pm$~0.3	&	y	&	y	&	y	\\
J19432464-3722108		&	2.84~$\pm$~0.08	&	2.89~$\pm$~0.07		&	1.623~$\pm$~0.004		&	303.7~$\pm$~0.3	&	y	&	y	&	y	\\
J20100002-2801410		&	0.80~$\pm$~0.04	&	0.75~$\pm$~0.03		&	0.615~$\pm$~0.001		&	280.4~$\pm$~0.3	&	y	&	y	&	y	\\
J20500010-1154092		&	1.04~$\pm$~0.22	&	1.17~$\pm$~0.20		&	0.486~$\pm$~0.046		&	348.3~$\pm$~0.3	&	y	&	y	&	y	\\
J21103147-2710578\tablefootmark{e}	&	1.07~$\pm$~0.01	&	1.20~$\pm$~0.01		&	9.501~$\pm$~0.003		&	313.2~$\pm$~0.3	&	n\tablefootmark{g}	&	n	&	n	\\
J22171899-0848122AB\tablefootmark{e}	&	0.62~$\pm$~0.03	&	0.74~$\pm$~0.01		&	7.954~$\pm$~0.001		&	213.2~$\pm$~0.3	&	n	&	n	&	n	\\
J22171899-0848122AC\tablefootmark{e}	&	3.77~$\pm$~0.03	&	...	&	7.794~$\pm$~0.003		&	220.1~$\pm$~0.3	&	n	&	n	&	n	\\
J22332264-0936537		&	0.12~$\pm$~0.01	&	0.65~$\pm$~0.05		&	1.421~$\pm$~0.028		&	98.6~$\pm$~0.3 	&	n	&	y	&	y	\\
J22382974-6522423		&	0.23~$\pm$~0.01	&	0.20~$\pm$~0.02		&	0.842~$\pm$~0.001		&	155.8~$\pm$~0.3 	&	n	&	y	&	y	\\
J22401867-4931045		&	0.14~$\pm$~0.01	&	0.16~$\pm$~0.01		&	4.039~$\pm$~0.001		&	41.0~$\pm$~0.3 	&	n	&	y	&	y	\\
J23581366-1724338		&	0.01~$\pm$~0.01	&	0.03~$\pm$~0.01		&	1.989~$\pm$~0.001		&	355.7~$\pm$~0.3	&	n	&	y	&	y	\\
\hline
\end{tabular}
\tablefoot{\tablefoottext{a}{Companion discovered in this survey (y) or previously known (n).}
\tablefoottext{b}{Included in multiplicity fraction analysis (y/n).}
\tablefoottext{c}{Included in mass-ratio analysis (y/n).}
\tablefoottext{d}{The primary star spectral type is earlier than M~0 (see Table~\ref{tab3}). The system is therefore not included in the statistical analysis.}
\tablefoottext{e}{The survey is not complete for component separations greater than 6\arcsec~and these stars are therefore not included in the statistical analysis.}
\tablefoottext{f}{Our primary star is the secondary star in a known binary system in which the primary star is of spectral type F. The system is therefore not included in the
statistical analysis.}
\tablefoottext{g}{The companion is the star 2MASS J21103096-2710513. Although the position of the secondary star is previously known, we could find no references to the couple as
a common proper motion pair.}
}
\end{table}