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GaussianIntegers

Usage

GaussianIntegers is an option for FactorInteger, PrimeQ, Factor and related functions which specifies whether factorization should be done over Gaussian integers.


Notes

• With GaussianIntegers -> False, factorization is done over the ordinary ring of integers  .
• With GaussianIntegers -> True, factorization is done over the ring of integers with  adjoined  .
• Example: FactorInteger[13, GaussianIntegers -> True]LongRightArrow .
• The Gaussian primes used when GaussianIntegers -> True are chosen to have both real and imaginary parts positive.
• The first entry in the list given by FactorInteger with GaussianIntegers -> True may be -1 or -I.
• See Section 3.2.5.
• See also: Extension, ComplexExpand.
• New in Version 2.


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