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GaussInt

  

GIfactors

  

Gaussian integer factorization

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

GIfactors(n)

Parameters

n

-

Gaussian integer

Description

• 

The GIfactors function returns the Gaussian integer factorization of the Gaussian integer n.

• 

The result is returned in the form [u,[[p1,ⅇ1],...,[pm,ⅇm]] where n=up1ⅇ1...pmⅇm, pi is a primary prime integer, ei is its exponent (multiplicity) and u is one of four units.

Examples

withGaussInt:

GIfactors0

0,

(1)

GIfactors72+100I

−I,1+I,4,−32I,1,−3+8I,1

(2)

GIfactors1574+368I

I,1+I,2,1+2I,2,14I,1,52I,1,−7+2I,1

(3)

See Also

GIfacset

GIfactor