of the WMAP maps and the TCM, and also measure the genus-related statistics. The results for the observed maps and for the 500 mock observations are included in Tables 1 and 2, respectively. At the W band ($0\fdg35$ scale), the asymmetry parameter for the southern hemisphere is very large ($\Delta g = +0.047$), which is a non-Gaussian feature that is statistically significant at $2.4\sigma$ level. However, the $\Delta g$ for the north is consistent with zero. Such a large asymmetry does not appear in the lower resolution Q and V maps.

[llcr]{} Maps & Amp. Diff. & Observed & Simulated\
\
WMAP W & $A_{-}^{\rm N} - A_{-}^{\rm S}$ & 255 & $17\pm90$\
& $A_{+}^{\rm N} - A_{+}^{\rm S}$ & 131 & $15\pm91$\
WMAP V & $A_{-}^{\rm N} - A_{-}^{\rm S}$ & 140 & $9\pm69$\
& $A_{+}^{\rm N} - A_{+}^{\rm S}$ & 142 & $7\pm71$\
WMAP Q & $A_{-}^{\rm N} - A_{-}^{\rm S}$ & 108 & $6\pm51$\
& $A_{+}^{\rm N} - A_{+}^{\rm S}$ & 103 & $5\pm53$\
TCM & $A_{-}^{\rm N} - A_{-}^{\rm S}$ & 235 &\
& $A_{+}^{\rm N} - A_{+}^{\rm S}$ & 145 &\
ILC & $A_{-}^{\rm N} - A_{-}^{\rm S}$ & 56 &\
& $A_{+}^{\rm N} - 