Explicit Cayley triples in real forms of E-7

Let g be a noncompact real form of the simple complex Lie algebra g(c) of t ype E-7. Up to isomorphism, there are exactly three such algebras: EV, EVI, and EVII in Cartan notations. For each of these algebras we obtain a list of representatives of the adjoint orbits of standard triples (E, H, F), i.e ., triples {E, H, F} subset of g spanning a subalgebra isomorphic to sl(2)( R), and such that [H, E] = 2E, [H, F] = -2F, and [F, E] = H. These represen tative standard triples are chosen to be Cayley triples with respect to a f ixed Cartan decomposition of g.