Quadratic extensions of totally real quintic fields

DOI10.1090/S0025-5718-00-01210-2zbMath0991.11069MaRDI QIDQ2701569

Schehrazad Selmane

Publication date: 19 February 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

Galois groupdiscriminantminimal polynomialsubfieldtenth degree fields

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic number theory computations (11Y40)

Related Items

Minimum Discriminants of Imprimitive Decic Fields ⋮ Unnamed Item ⋮ Primes in the Chebotarev density theorem for all number fields (with an appendix by Andrew Fiori) ⋮ Nonexistence of arithmetic fake compact Hermitian symmetric spaces of type other than \(A_n\) \((n\leq 4)\) ⋮ A targeted Martinet search

Uses Software

• KANT/KASH

Cites Work

• Euclidean fields having a large Lenstra constant
• On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields
• KANT V4
• A table of totally real quintic number fields
• The transitive groups of degree up to eleven⁺
• On Computing Isomorphisms of Equation Orders
• Non-primitive number fields of degree eight and of signature (2,3), (4,2), and (6,1) with small discriminant