  We continue the study of the filiform Z2xZ2-color Lie superalgebras. All of
them can be obtained by using infinitesimal deformations, i.e. cocycles. In
this work we give the total dimension of such cocycles (for any dimensions n,
m, p and t of the Z2xZ2-color Lie superalgebras). Also, we give a basis of such
cocycles in some generic and concrete cases.
