  We prove that for every P there is a bound B depending only on P so that the
mapping torus of every P--small irreducible train-track map can be obtained by
surgery from one of B mapping tori. We show that given an integer P>0 there is
a bound $M$ depending only on P, so that there exists a presentation of the
fundamental group of the mapping torus of a P--small irreducible train-track
map with less than M generators and M relations.
