gcd of Gaussian integers - Maple Help

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numtheory[GIgcd] - gcd of Gaussian integers

Calling Sequence

GIgcd(x1, x2,..., xn)

Parameters

x1, x2, ..., xn

-

Gaussian integers

Description

• 

This function computes and returns the first quadrant associate of a gcd of the Gaussian integers x1=a1+b1I,...,xn=an+bnI, where the ais and the bis are integers.  The first quadrant associate of a Gaussian integer is defined as I^(5-j)*x where x is a Gaussian integer and j1..4 is the quadrant containing x (see GaussInt[GInormal]).

• 

The command with(numtheory,GIgcd) allows the use of the abbreviated form of this command.

Examples

withnumtheory:

GIgcd24,12

12

(1)

GIgcd345+515I,1574+368I

41+117I

(2)

See Also

GaussInt[GInormal], gcd, gcdex, igcd


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