Degree 4
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Content

The tables contain the class groups of degree 4 extensions of the field of rational numbers.

Format

The data are given as lists. Each entry corresponds to a number field K and consists of a vector

[dK, factor(dK), f, r1, hK, Cl(K), G], where

dK is the discriminant of the field,
factor(dK) is the factorization of dK,
f is a generating polynomial for K,
r1 is the number of real embeddings of K,
hK is the class number of K,
Cl(K) is the class group of K,
G is the Galois group of the Galois closure of K.

Univ. of KaiserslauternDept. of MathematicsWG Algebra & GeometryCAS SINGULAR KIS