A moonshine path for 5A and associated lattices of ranks 8 and 16

We continue the program, begun in Griess and Lam (in press) [18], to make a moonshine path between a node of the extended E8-diagram and the Monster. Our goal is to provide a context for observations of McKay, Glauberman and Norton by realizing their theories in a more concrete form. In this article, we treat the 5A-node. Most work in this article is a study of certain lattices of ranks 8, 16 and 24 whose determinants are powers of 5.