Quadratic extensions of totally real quintic fields (Q2701569)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic extensions of totally real quintic fields |
scientific article |
Statements
19 February 2001
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tenth degree fields
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discriminant
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subfield
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minimal polynomial
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Galois group
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Quadratic extensions of totally real quintic fields (English)
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The author has computed all tenth degree number fields containing a totally real quintic subfield and of discriminant less than \(10^{13}\). For each field the discriminant, the subfield, the minimal polynomial of its generating element (relative and absolute) and the Galois group have been computed. These computations give rise to tables extending former tables for lower degree number fields. The paper is illustrated by interesting tables. Corresponding results of the author for tenth degree fields can be found in [Math. Comput. 70, 845-851 (2001; Zbl 0991.11070)].
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