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TestIdeals :: multiplicativeOrder

multiplicativeOrder -- multiplicative order of an integer modulo another

Synopsis

Usage:

multiplicativeOrder(a, b)
Inputs:
- a, an integer, whose multiplicative order is to be computed
- b, an integer, prime to a; the modulus
Outputs:
- an integer, the multiplicative order of a mod b

Description

multiplicativeOrder(a,b) computes the multiplicative order of $a$ modulo $b$.

i1 : multiplicativeOrder(2, 11^2)

o1 = 110

i2 : multiplicativeOrder(3, 11^2)

o2 = 5

i3 : multiplicativeOrder(4, 11^2)

o3 = 55

If $a$ and $b$ are not relatively prime, multiplicativeOrder(a, b) returns an error.

Ways to use `multiplicativeOrder` :

"multiplicativeOrder(ZZ,ZZ)"

For the programmer

The object multiplicativeOrder is a method function.