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For later use in subsequent upcoming arxiv.org prepublications, basicfoundational material on local, smooth or real analytic, CR-genericsubmanifolds of complex Euclidean spaces is developed from scratch, with strongemphasis on the interplay between extrinsic and intrinsic aspects, aconstructive option that commands to perform computational syntheses incoordinates. Mainly, one finds a self-contained proof of the existence ofprecisely six general classes: I, II, III-1, III-2, IV-1, IV-2 of nondegenerategeneral CR manifolds up to dimension 5, class III-2 being unobserved untillnow.

Equivalences of 5-dimensional CR manifolds (II): General classes I, II, III-1, III-2, IV-1, IV-2