Tables of good lattices in four and five dimensions

Summary The good lattice theory yields a powerful method of computing approximations for the integral of functions defined on [0,1]^s through averaged sums ofm evaluations. We present a continuation of the only existing table of best lattices fors=4 up tom=3298, and the first table fors=5 up tom=772.From the Ecole Polytechnique de Montréal, département de Mathématiques appliquées, C.P. 6079 Station A, Montréal QC, Canada H3C 3A7. This research was supported by Grant A3087 from the National Science and Engineering Research Council of Canada