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In the paper we determine the class of diffeomorphism of three-dimensionalregular common level surfaces of Hamiltonian and Casimir functions for theanalog of Kovalevskaya case on Lie algebra $\textrm{so}(4)$. We start fromFomenko-Zieschang invariants of Lioville foliations on these manifolds thatwere calculated by the author earlier.

Topology of isoenergy surfaces of Kovalevskaya integrable case on the Lie algebra so(4)