  We study generalized log-sine integrals at special values. At $\pi$ and
multiples thereof explicit evaluations are obtained in terms of Nielsen
polylogarithms at $\pm1$. For general arguments we present algorithmic
evaluations involving Nielsen polylogarithms at related arguments. In
particular, we consider log-sine integrals at $\pi/3$ which evaluate in terms
of polylogarithms at the sixth root of unity. An implementation of our results
for the computer algebra systems Mathematica and SAGE is provided.
