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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>;
…