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math.NT2001
Counting nilpotent Galois extensions
Juergen Klueners, Gunter Malle
We obtain strong information on the asymptotic behaviour of the counting function for nilpotent Galois extensions with bounded discriminant of arbitrary number fields. This extends…
math.NT2001
A database for field extensions of the rationals
Juergen Klueners, Gunter Malle
We report on a database of field extensions of the rationals, its properties and the methods used to compute it. At the moment the database encompasses roughly 100,000 polynomials…