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D.7.1.7 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