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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Enumeration of quartic fields of small discriminant


Authors: Johannes Buchmann, David Ford and Michael Pohst
Journal: Math. Comp. 61 (1993), 873-879
MSC: Primary 11R16; Secondary 11R32, 11R80
MathSciNet review: 1176706
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Abstract: With the mixed-type case now completed, all algebraic number fields of degree 4 with absolute discriminant $ < {10^6}$ have been enumerated. Methods 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 $ {T_2}$ criterion of Pohst was applied to reduce the number of redundant examples.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1993-1176706-0
PII: S 0025-5718(1993)1176706-0
Article copyright: © Copyright 1993 American Mathematical Society