Ohtsuki invariants of the Brieskorn-Hamm manifolds and their inequalities

We calculate the Ohtsuki invariants λi(M)(i=0,1,2) of every Brieskorn-Hamm manifold M which is a rational homology 3-sphere. By the result, we show that the first Ohtsuki invariants λ1(M) of Brieskorn-Hamm manifolds are not positive and the second Ohtsuki invariants λ2(M) of the Brieskorn-Hamm manifolds are almost positive, and give an inequality of λi(M)(i=0,1,2).