Gaussian rational

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In mathematics, a Gaussian rational number is a complex number of the form p + qi, where p and q are both rational numbers.
The set of all Gaussian rationals forms the Gaussian rational field, denoted Q(i), obtained by adjoining the imaginary number i to the field of rationals.

Source: https://en.wikipedia.org/wiki/Gaussian_rational
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Abelianextension
Algebraicnumberfield
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Complexconjugate