CyclotomicCosets( q, n )
CyclotomicCosets returns the cyclotomic cosets of q modulo n. q
and n must be relatively prime. Each of the elements of the returned
list is a list of integers that belong to one cyclotomic coset. Each
coset contains all multiplications of the coset representative by q,
modulo n. The coset representative is the smallest integer that isn't
in the previous cosets.
gap> CyclotomicCosets( 2, 15 );
[ [ 0 ], [ 1, 2, 4, 8 ], [ 3, 6, 12, 9 ], [ 5, 10 ],
[ 7, 14, 13, 11 ] ]
gap> CyclotomicCosets( 7, 6 );
[ [ 0 ], [ 1 ], [ 2 ], [ 3 ], [ 4 ], [ 5 ] ]
GAP 3.4.4