\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}