Account for the CP-violation in the exponential parameterization of neutrino mixing

The exponential parameterization of the neutrino mixing is studied; it allows distinguishing of pure rotational part of the mixing matrix and of the part, in charge of the CP-violation. The logarithm of the mixing matrix is computed. Based on the last experimental data on the neutrino mixing, the exact values of the parameters of the exponential neutrino mixing matrix are calculated. The real part, corresponding the real rotation in space, and the imaginary part, corresponding CP-violation and rotation around the axis with imaginary coordinates, are distinguished. Factorization of the mixing matrix is demonstrated in the form of two rotations around real and imaginary axes. The complementarity hypothesis is confirmed.