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Enumeration of quartic fields of small discriminant

1993; American Mathematical Society; Volume: 61; Issue: 204 Linguagem: Inglês

10.1090/s0025-5718-1993-1176706-0

1088-6842

Johannes Buchmann, David Ford, Michael Pohst,

Analytic Number Theory Research

With the mixed-type case now completed, all algebraic number fields of degree 4 with absolute discriminant > 10 6 > {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 {T_2} criterion of Pohst was applied to reduce the number of redundant examples.