Dear GAP Forum,

In addition to my previous question,
Could someone provide me with a reference to the algorithm used
in the function Eigenvalues which computes the eigenvalues
of a representative of a conjugacy class in a given irreducible
representation?
I would like to know if there is a quickier way to compute the
characteristic polynomial f=f(G) of a representative G
of a conjugacy class mentioned
above, than using Eigenvalues().
(The latter function involves using algebraic numbers, whereas it might happen
that f has rational or integer coefficients , i.e. all the irrationalies cancel)

Thanks in advance,
Dmitrii Pasechnik <D.Pasechnik@twi.tudelft.nl>