ENUMERATION OF QUARTIC FIELDS OF SMALL DISCRIMINANT

Authors
BUCHMANN J FORD D POHST M
Citation
J. Buchmann et al., ENUMERATION OF QUARTIC FIELDS OF SMALL DISCRIMINANT, Mathematics of computation, 61(204), 1993, pp. 873-879
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematics of computation → ACNP
ISSN journal
00255718
Volume
61
Issue
204
Year of publication
1993
Pages
873 - 879
Database
ISI
SICI code
0025-5718(1993)61:204<873:EOQFOS>2.0.ZU;2-H
Abstract
With the mixed-type case now completed, all algebraic number fields of degree 4 with absolute discriminant < 10(6) have been enumerated. Met hods from the totally real and totally complex cases were used without major modification. Isomorphism of fields was determined by a method similar to one of Lenstra. The T2 criterion of Pohst was applied to re duce the number of redundant examples.