  We reformulate Lehmer's question from 1933 and a question due to Schinzel and
Zassenhaus from 1965 in terms of a comparison of the Mahler measures and the
houses, respectively, of monic integer reciprocal and skew-reciprocal
polynomials of the same degree. This entails that understanding the difference
between orientation-preserving and orientation-reversing mapping classes is at
least as complicated as answering these questions.
