Sadun L., Segert J. Stationary points of the Yang-Mills Action (54K, AmsTeX 2.0) ABSTRACT. We examine the structure of a recently discovered set of non-self-dual solutions of the Yang-Mills equations. These solutions have a symmetry that reduces the YM equations to a set of ODE's. The distinct solutions are indexed by two postive odd integers. We develop a scheme to approximate on a computer the solutions for small values of the indexing integers, and present some numerical results. We then analyze the asymptotic behavior of the solutions as the indexing integers become large.