I should also reiterate that I wasn't looking for x|y where x=y. Those are the 22 results that I removed, since they weren't ambiguous. I looked for x|y where there was a complimentary y|x
Yeah, I ended up taking it a step further and moving the minute hand by 1 degree at a time instead of the hour hand. So the matching columns were a looooot longer. I couldn't include it in the post because it was too long.
An alternative:
My second method actually doesn't work. It lets the sheriffs know that they share a suspect (or don't), but doesn't tell them who the shared suspect is.