Cubic Fields
If K is a complex cubic field then it has a unique real embedding and the fundamental unit ε can be picked uniquely such that |ε| > 1 in this embedding. If the discriminant Δ of K satisfies |Δ| ≥ 33, then
For example, the fundamental unit of is whose cube is ≈ 56.9, whereas the discriminant of this field is −108 and
Read more about this topic: Fundamental Unit (number Theory)
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