This database contains 6,941,401 global number fields of degree $n\leq 23$. In addition, extensive data on class groups of quadratic imaginary fields is available for download.

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## Go to a specific field by label, nickname, or polynomial

 Field: e.g., 2.2.5.1, 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 set of ramified primes subset of equal to superset of e.g. 2,3 class number e.g. 5 class group structure e.g. [ ], [3], or [2,4] Maximum number of fields to display