This database contains 3,388,679 global number fields of degree $n\leq 22$. The data is complete in a variety of ways, see completeness of global number field data for details. In addition, extensive data on class groups of quadratic imaginary fields is available for download.

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e.g.,, Qsqrt5, x^2-5, or x^2-x-1 for \(\Q(\sqrt{5})\)

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degree e.g. 3 signature e.g. [1,1]
discriminant e.g. -3, or a range such as 1000..2000 or 1000-2000 or -1000..-1
Galois group e.g. C5, or 8T12, a list of group labels
unramified primes e.g. 2,3 ramified primes e.g. 2,3
class number e.g. 5 class group structure e.g. [ ], [3], or [2,2]
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