  We report on some computations with nilpotent orbits in simple Lie algebras
of exceptional type within the SLA package of GAP4. Concerning reachable
nilpotent orbits our computations firstly confirm the classification of such
orbits in Lie algebras of exceptional type by Elashvili and Grelaud, secondly
they answer a question by Panyushev, and thirdly they show in what way a recent
result of Yakimova for the Lie algebras of classical type extends to the
exceptional types. The second topic of this note concerns abelianizations of
centralizers of nilpotent elements. We give tables with their dimensions.
