GAP field of values of an irreducible character

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Given a group $G$ in GAP, a character $\chi$ in $Irr(G)$ and a field $F$ how can I compute $F(\chi):=F(\chi(g)|g\in G)$?

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Straightforward:

G:=SmallGroup(60,5);
chi:=Irr(G)[2];
F:=CF(7);
Field(F,chi);