  M. M. Nekhoroshev put forward the problem of to find the Complex Germ on a
isotropic invariant torus with respect to Hamiltonian phases flows which come
from k-functions in involution. This statement was partially solved in [9]
establishing that if certain simplectic operator has a simple spectrum then the
complex germ exist. In this work we solve this problem, providing a full
solution, i.e. we present conditions for the existence and uniqueness of
complex germ through the monodromy operator constructed in [9], but without the
simple spectrum condition. We study also the Hamiltonian system with cyclic
variables.
