  This paper is a contribution to a program to see symmetry breaking in a
weakly interacting many Boson system on a three dimensional lattice at low
temperature. It is part of an analysis of the "parabolic flow" which exhibits
the formation of a "Mexican hat" potential well. Here we provide arguments that
suggest, but do not completey prove, that the difference between the "small
field" approximation and the full model is nonperturbatively small.
