Chapter

Algorithmic Number Theory

Volume 5011 of the series Lecture Notes in Computer Science pp 268-281

Enumeration of Totally Real Number Fields of Bounded Root Discriminant

  • John VoightAffiliated withDepartment of Mathematics and Statistics, University of Vermont

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Abstract

We enumerate all totally real number fields F with root discriminant δ F  ≤ 14. There are 1229 such fields, each with degree https://static-content.springer.com/image/chp%3A10.1007%2F978-3-540-79456-1_18/MediaObjects/978-3-540-79456-1_18_IEq1_HTML.png .