  This paper proposes seven combinatorial problems around formulas for the
characteristic polynomial and the spectral numbers of a quasihomogeneous
singularity. One of them is a new conjecture on the characteristic polynomial.
It is an amendment to an old conjecture of Orlik on the integral monodromy of a
quasihomogeneous singularity. The search for a combinatorial proof of the new
conjecture led us to the seven purely combinatorial problems.
