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Local CR-generic submanifolds of C^N are in one-to-one correspondence withtheir respective graphing functions, but it is well known that (despite theirimportance) the Cartan-Hachtroudi-Chern-Moser invariants and coframes for Levinondegenerate hypersurfaces M in C^(n+1) have been fully computed in CRdimension n >= 2 only in special cases which show off a tremendous collapse ofcomputational complexity in comparison to the general case. One of the goals ofthis Part V is to set up systematic initial data that are essentially explicitin terms of the concerned graphing functions, for the six already studiedgeneral classes I, II, III-1, III-2, IV-1, IV-2. Incredibly, for Class III-1CR-generic submanifolds M^5 in C^4 that are the geometry-preservingdeformations of one of the natural models of Beloshapka, even the initial frameand coframe are not absorbable by an individual personal computer, for some ofthe concerned coefficient-functions incorporate nearly 100 000 000 of monomialsin 165 jet variables, not to mention that the exploration of biholomorphicequivalences yet requires to differentiate such functions at least four times.As will appear later on, deep (archaic) mathematical links are extant betweenthe effective Cartan theory and the famous hyperbolicity conjecture ofKobayashi.

Equivalences of 5-dimensional CR-manifolds V: Six initial frames and coframes; Explicitness obstacles