Hi everyone, I always have trouble on decomposing number into irreducible factors inside Gaussian integer field. I keep trying to express number as product as (a+bi)(c+di), and trying to solve a,b,c,d inside of integers (Z), then see if they are irreducibles, which of course end of very messy.(adsbygoogle = window.adsbygoogle || []).push({});

Is there any techniques or algorithms to do these kind of decomposing numbers? Can anyone show me an example please so I may get good idea? Say take a prime 5, try to decompose it into irreducibles in Z

Thanks a lot.

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# Decompose number in Gaussian interger field

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