  Following the suggestion of arXiv:1407.6319 to lift the knot polynomials for
virtual knots and links from Jones to HOMFLY, we apply the evolution method to
calculate them for an infinite series of twist-like virtual knots and
antiparallel 2-strand links. Within this family one can check topological
invariance and understand how differential hierarchy is modified in virtual
case. This opens a way towards a definition of colored (not only cabled) knot
polynomials, though problems still persist beyond the first symmetric
representation.
