Exact Consequences of BrokenO(4)Symmetry for Regge Trajectories. II. IntegerM>~1

We obtain the complete set of constraints imposed by broken $O\left(4\right)\mathrm{}$ symmetry on Regge-daughter sequences having integer $M>~1$. The constraints determine the $p\mathrm{th}$ derivative of all the daughter trajectories at zero energy in terms of a finite number of constants. The conspiring daughters of natural and unnatural parity are highly degenerate for large $M$; in particular, ${\alpha }_{+}(k, t)-{\alpha }_{-}(k, t)=O\left(t^M\right)$. Results are also obtained for daughter residues.