  Algebraic solutions of the sixth Painleve equation can be computed using
pullback transformations of hypergeometric equations with respect to specially
ramified rational coverings. In particular, as was noticed by the second author
and Doran, some algebraic solutions can be constructed from a rational covering
alone, without computation of the pullbacked Fuchsian equation. But the same
covering can be used to pullback different hypergeometric equations, resulting
in different algebraic Painleve VI solutions. This paper presents computations
of explicit RS-pullback transformations, and derivation of algebraic Painleve
VI solutions from them.
