Some calculations of Lie(n)max for low nn

In a previous paper, the authors gave the finest functorial decomposition of the loop suspension of a pp-torsion suspension. In order to determine the decomposition, one must know the maximum projective submodule of Lie(n), which we label Liemax(n). The purpose of this paper is to give some sample calculations of Liemax(n) for low nn when p=2p=2.