Answer to a Question of Hung and Tiep on Conductors of Cyclotomic Integers

Christopher Herbig

In Question 5.2 of [5], Hung and Tiep asked the following: If $\hat{I}\pm$ is a sum of $k$ complex roots of unity and ${\mathbb{Q}}_{c(\hat{I}\pm )}$ is the smallest cyclotomic field containing $\hat{I}\pm$,…