ИСТИНА

Еhe special case of the Euler-Poisson equa- tions describing motion of a heavy rigid body with a fixed point is considered. Near stationary points of the system two of one-parameter families were chosen. These families are corresponded to the resonance of eigenvalues of the matrix of a linear part of the system. Also in the paper [Bruno,Edneral2007] it was suggested a hypothesis about absence of the additional rst integral near these families, except of classical cases of global integrability. In this report that supposition is proved using calculations of coecients of the normal form. All calculations were produced by the package which was created in the MATHEMATICA system.