  Hinted by the elliptic parameterization of the Ising model, the addition
formula of the elliptic function forms to give the integrable SU(2) group
relation in the previous paper. We then expect that the addition formula of the
Abelian function with any genus will form to give some integrable Lie group
structure. In this paper, we study Jacobi's inversion problem for hyperelliptic
integral with genus two and we expect some SU(2) structure for the addition
formula of the hyperelliptic theta function with genus two.
