Wild primes for hypergeometric families (awaiting review)

A prime $p$ is called wild for a hypergeometric family $H(A,B)$ if it divides one of the members of $A$ and $B$. The name is appropriate since if $p$ is such a prime, then for most $t \in \Q^\times$ the motive $H(A,B,t)$ is wildly ramified at $p$.