  The potential function of the optimistic limit of the colored Jones
polynomial and the construction of the solution of the hyperbolicity equations
were defined in the authors' previous articles. In this article, we define the
Reidemeister transformations of the potential function and the solution by the
changes of them under the Reidemeister moves of the link diagram and show the
explicit formulas. These two formulas enable us to see the changes of the
complex volume formula under the Reidemeister moves. As an application, we can
simply specify the discrete faithful representation of the link group by
showing a link diagram and one geometric solution.
