  A periodic two-phase algebro-geometric solution of the focusing nonlinear
Schr\"odinger equation is constructed in terms of elliptic Jacobi
theta-functions. A dependence of this solution on the parameters of a spectral
curve is investigated. An existence of a real smooth finite-gap solution of NLS
equation with complex initial phase is proven. Degenerations of the constructed
solution to one-phase traveling wave solution and solutions in the form of the
plane waves are carried.
