  We claim that for calculations of the electronic structure of 3d oxides very
strong electron correlations have to be taken into account similarly to those
assumed in many-electron crystal field approach. For Co3+ ions in NaxCoO2.yH2O
there are 15 low lying many-electron states within 0.1 eV as can be obtained in
the many-electron CEF approach with taking into account the spin-orbit
coupling. We claim, that the used by us Hamiltonian for the trigonal distortion
is correct.
