A database of number fields

Abstract

We describe an online database of number fields which accompanies this paper The database centers on complete lists of number fields with prescribed invariants. Our description here focuses on summarizing tables and connections to theoretical issues of current interest.

25 pages, 1 figure

References in corpus (3)

• Enumeration of totally real number fields of bounded root discriminant
• Random pro-p groups, braid groups, and random tame Galois groups
• The tame-wild principle for discriminant relations for number fields

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• Serre weights and wild ramification in two-dimensional Galois representations
• Picard curves over Q with good reduction away from 3
• A note on Euclidean cyclic cubic fields
• Lattices of minimal covolume in SL_n(R)
• On the unit equation over cyclic number fields of prime degree
• An automorphic generalization of the Hermite-Minkowski theorem
• On the paramodularity of typical abelian surfaces (and reduction of G-covariant bilinear forms)
• On the genus of congruence surfaces from maximal orders
• Abelian surfaces good away from 2