I'm writing an algorithm in GAP to automate some easy calculations related to elements of prime order in groups that appear in the ATLAS. To automate the process, I need to access the character values for some irreducible complex representations of small degree so I can do some basic arithmetic on them.
Is there any way to access these without computing all of the irreducible characters using the function Irr(G)? Calling Irr(G) takes a very long time to run on my computer (on PSL(4,3), for example) and I really only need the two or three smallest irreducible representations.
Thanks in advance!