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The Maxima on-line user's manual

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Gcfactor

Function: gcfactor (<n>) Factors the Gaussian integer <n> over the Gaussian integers, i.e., numbers of the form <a> + <b> %i where <a> and <b> are rational integers (i.e., ordinary integers). Factors are normalized by making <a> and <b> non-negative.

gcfactor(x^2+y^2+xy-39);

(%o1)                                true
(%i2) 

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gcfactor

z1:25-5*%i;

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