  Non-alternating Hamiltonian Lie algebras in three variables over a perfect
field of characteristic 2 are considered. A classification of non-alternating
Hamiltonian forms over an algebra of divided powers in three variables and of
the corresponding simple Lie algebras is given. In particular, it is shown that
the non-alternating Hamiltonian form may not be equivalent to its linear part.
It is proved that the Lie algebras which correspond to the nonequivalent forms
are not isomorphic.
