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A cyclotomic field is a number field obtained by adjoining a complex primitive root of unity to $\mathbb Q$, the field of rational numbers.

4 votes

Ring of algebraic integers in a quadratic extension of a cyclotomic field

As requested by Franz, here is the short Magma code looking for solutions in cyclotomic units: test_n := function(n) K<z> := CyclotomicField(n); O := MaximalOrder(K); I := ideal<O|4>; …
Dror Speiser's user avatar
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