This database contains 22,175,416 number fields of degree $n\leq 47$. Here are some further statistics. In addition, extensive data on class groups of quadratic imaginary fields is available for download.
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By degree: | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 |
By discriminant: | -10000..-1001 -1000..-101 -100..-1 0..99 100..999 1000..9999 10000..99999 100000..999999 $\cdots$ |
By signature: | [1,0] [2,0] [0,1] [3,0] [1,1] [4,0] [2,1] [0,2] [5,0] [3,1] [1,2] [6,0] [4,1] [2,2] [0,3] [7,0] $\cdots$ |
By class number: | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 $\cdots$ |
Some interesting number fields or a random number field |