On the classification of Spherical rigid CR manifolds and Sasakian manifolds in C2

Data pertaining to the computations of particular coefficients for the Ezhov-Schmalz closed normal form for rigid spheres, and to the expontential mappings of the Sasakian symmetry algebras corresponding to Cartan's list of homogeneous CR manifolds with a fixed Reeb vector field that is simultaneously an infinitesimal CR automorphism of the underlying the CR manifold.