Consider an equation `log_2 (alpha^6 - 16alpha^3 + 66) + sqrt(4beta^4 - 8beta^2+13)|[gamma/3-2]|=4` where `alpha, beta, gamma` are integers and `m, n and r` are the number of value of `alpha,beta and gamma` respectively which satisfy the above equation. The number of ordered triplets `(alpha,beta,gamma)` is: (A) `2` (B) `3` (C) `6` (D) `9`