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Let P(x) be an irreducible polynomial of degree d>1
over a prime finite field p. The order of P
is the smallest positive integer n such that P(x) divides xn-1.
n is also equal to the multiplicative order of any root of P. It is a
divisor of pd-1. P is a primitive polynomial if
This tool allows you to enter a polynomial and compute its order. If you
enter a reducible polynomial, the orders of all its non-linear factors
will be computed and presented.