  The Kauffman bracket skein modules, S(M,A), have been calculated for A=+1,-1,
for all 3-manifolds M by relating them to the SL(2,C)-character varieties. We
extend this description to the case when A is a 4-th root of 1 and M is either
a surface x [0,1] or a rational homology sphere (or its submanifold).
