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. We also give an integral basis and list the fundamental units and class number of F.
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Ford et al. (1993) studied this question.
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