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Euclidean fields having a large Lenstra constant

Armin Leutbecher — 1985

Annales de l'institut Fourier

Based on a method of H. W. Lenstra Jr. in this note 143 new Euclidean number fields are given of degree n = 7 , 8 , 9 and 10 and of unit rank 5 . The search for these examples also revealed several other fields of small discriminant compared with the lower bounds of Odlyzko.

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