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

 

On the computation of totally real quartic fields of small discriminant


Authors: Johannes Buchmann and David Ford
Journal: Math. Comp. 52 (1989), 161-174
MSC: Primary 11R16; Secondary 11Y40
MathSciNet review: 946599
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Abstract: All totally real quartic fields of discriminant less than $ {10^6}$ are computed. The method used to generate the fields is derived from Delone and Faddeev, with corrections and improvements. A new method for deciding field isomorphism is used to eliminate redundant examples. Integral bases and Galois groups are given for each field.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1989-0946599-1
PII: S 0025-5718(1989)0946599-1
Article copyright: © Copyright 1989 American Mathematical Society