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The Totally Real A6 Extension of Degree 6 with Minimum Discriminant
The totally real algebraic number field F of degree 6 with Galois group A 6 and minimum discriminant is determined. It is unique up to isomorphy, and is generated by a root of the polynomial t 6 — 24t 4 + 2lt 2 + 9t + 1 over the rationals. …