For a set S of cyclotomic integers,
DefaultRing( S )
is the ring of integers in CF( S )
(see DefaultRing),
Ring( S )
is the ring of integers in NF( S )
(see Ring).
gap> Ring( [ E(5) ] ); Ring( E(5) ) gap> Ring( [ EB(7) ] ); Ring( E(7)+E(7)^2+E(7)^4 ) gap> DefaultRing( [ EB(7) ] ); Ring( E(7) )
GAP 3.4.4