One of the greatest outstanding problems of our time is the Riemann Hypothesis, which provides insight to the behaviour and distribution of prime numbers. This problem can be extended to more general objects know as Artin L-functions and Dedekind zeta functions. We have some fast algorithms for testing the Riemann Hypothesis for the Riemann zeta function, but at present there is no known algorithm to test Artin's conjecture or the Riemann hypothesis for Dedekind zeta functions in full generality. However, there is an algorithm to test both provided that the Galois group of the Galois extension satisfies some 'nice' properties. These properties kinda generalize the idea of a group being monomial, hence the name... almost monomial groups.

I have tested large number of groups and some of this data appears in my papers and thesis. However, this is the full data.