  We present the analysis on the quadrupole phases of the Internal Linear
Combination map, ILC(I) and (III) derived by the WMAP team (1 and 3-year data
release). This approach allows us to see the global trend of non-Gaussianity of
the quadrupoles for the ILC(III) map through phase correlations with the
foregrounds. Significant phase correlations is found in between the ILC(III)
quadrupole and the WMAP foregrounds phases for K-W band: the phases of the
ILC(III) quadrupole xi_{2,1}, xi_{2,2} and those of the foregrounds at K-W
bands Phi_{2,1}, Phi_{2,2} display significant symmetry: xi_{2,1}+Phi_{2,1} ~=
xi_{2,2}+Phi_{2,2}, which is a strong indication that the morphology of the
ILC(III) quadrupole is mere reflection of that the foreground quadrupole
through coupling. To clarify this issue we exploit the symmetry of the CMB
power, which is invariant under permutation of the index m=1<->2. By simple
rotation of the ILC(III) phases with the same angle we reach the phases of
foreground quadrupole. We discuss possible sources of phase correlation and
come to the conclusion that the phases of the ILC(III) quadrupole reflect most
likely systematic effects such as changing of the gain factor for the 3-year
data release with respect to the 1-year, rather than manifestation of the
primordial non-Gaussianity.
