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D.4.36.3 primRoot

Procedure from library symodstd.lib (see symodstd_lib).

Usage:
primRoot(p,k); p,k integers

Assume:
p is a prime and k divides p-1.

Return:
int: a k-th primitive root of unity in Z/pZ

Example:
 
LIB "symodstd.lib";
primRoot(181,10);
==> 56
ring R = 2147482801, x, lp;
number a = primRoot(2147482801,5);
a;
==> -159774741
a^2;
==> 140354890
a^3;
==> 260989846
a^4;
==> -241569996
a^5;
==> 1