  Associated to a hyperbolic knot complement in $S^3$ is a set of prime numbers
corresponding to the residue characteristics of the ramified places of the
quaternion algebras obtained by Dehn surgery on the knots. Previous work by
Chinburg-Reid-Stover gives conditions on the Alexander polynomial of the knot
for this set to be finite. We show that there are infinitely many examples of
knots for which this set is infinite, providing evidence for a conjecture of
Chinburg-Reid-Stover.
