D.6.1.5 cyclotomic

Procedure from library finvar.lib (see finvar_lib).

Usage:

cyclotomic(i); i integer > 0

Returns:

the i-th cyclotomic polynomial (type <poly>) as one in the first ring variable

Theory:

x^i-1 is divided by the j-th cyclotomic polynomial where j takes on the value of proper divisors of i

Example:

LIB "finvar.lib";
ring R=0,(x,y,z),dp;
print(cyclotomic(25));
→ x20+x15+x10+x5+1