In the context of the Bingham probability distribution the ${ }_1F_1$ hypergeometric function of matrix argument naturally arises as a normalization constant of the probability distribution function. Thus, it is of interest to evaluate this function effectively. For the more general class of hypergeometric functions $ _pF_q$ of Matrix argument, an algorithm was given by Koev. However, this algorithm still has some open problems discussed in Koevs paper. My question is, whether there is a way to compute the normalization constant of a bingham distribution for arbitrary dimensions effectively.