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GaussInt

  

GIsqrfree

  

Gaussian integer square-free factorization

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

GIsqrfree(n)

Parameters

n

-

Gaussian integer

Description

• 

The GIsqrfree function returns the square-free Gaussian integer factorization of the Gaussian integer n.

• 

The function returns the result in the form [u,[[p1,ⅇ1],...,[pm,ⅇm]] where pi is a primary factor of n, ei is its multiplicity, gcdpi,pj=1 for all ij, and u is a unit in Gaussian integer ring. The square-free factorization of n is: n=up1ⅇ1...pmⅇm.

Examples

withGaussInt:

GIsqrfree1574+368I

I,65+148I,1,1+3I,2

(1)

GIsqrfree3369067456+16670818364I

I,32I,1,7+2I,2,1+I,4,52I,5,1+4I,6

(2)

See Also

GIfactor

GIfactors

isqrfree

 


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