If `alpha`, `beta`, `gamma in {1,omega,omega^(2)}` (where `omega` and `omega^(2)` are imaginery cube roots of unity), then number of triplets `(alpha,beta,gamma)` such that `|(a alpha+b beta+c gamma)/(a beta+b gamma+c alpha)|=1` is
A. `3`
B. `6`
C. `9`
D. `12`