Abstract
Let K=ℚ(𝜃) be an algebraic number field with 𝜃 satisfying an irreducible polynomial x6−m having integer coefficient m. We explicitly provide an integral basis of K along with some examples. As an application, we show that when m is a squarefree integer such that m≡2,3 mod4 and m≢±1 mod9, then K has a power integral basis.
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