We show that for 100% of the odd, squarefree integers n > 0 the 4-rank of Cl(Q(i, √ n)) is equal to ω 3 (n) − 1, where ω 3 is the number of prime divisors of n that are 3 modulo 4.
The software package KANT V4 for computations in algebraic number fields is now available in version 4. In addition a new user interface has been released. We will outline the features of this new software package.
This paper announces the creation of a database for number fields. It describes the contents and the methods of access, indicates the origin of the polynomials, and formulates the aims of this collection of fields.
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