GAP Manual: 18.7. OrderFFE

OrderFFE( z )

OrderFFE returns the order of the element z in a finite field. The order is the smallest positive integer i such that z^i is 1. The order of the zero in a finite field is defined to be 0.

    gap> OrderFFE( Z(16)^7 );
    15
    gap> OrderFFE( Z(16)^5 );
    3
    gap> OrderFFE( Z(27)^11 );
    26
    gap> OrderFFE( Z(625)^13 );
    48
    gap> OrderFFE( Z(211)^0 );
    1