19.13 CyclotomicPolynomial

CyclotomicPolynomial( R, n )

returns the n-th cyclotomic polynomial over the field R.

    gap> CyclotomicPolynomial( GF(2), 6 );
    Z(2)^0*(X(GF(2))^2 + X(GF(2)) + 1)
    gap> CyclotomicPolynomial( Rationals, 5 );
    X(Rationals)^4 + X(Rationals)^3 + X(Rationals)^2 + X(Rationals) + 1 

In every GAP session the computed cyclotomic polynomials are stored in the global list CYCLOTOMICPOLYNOMIALS.

Previous Up Top Next
Index