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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
16.0.429...000.3 | $x^{16} - 8 x^{14} + 56 x^{12} - 184 x^{10} + 344 x^{8} - 352 x^{6} + 264 x^{4} - 96 x^{2} + 16$ | $2^{44}\cdot 5^{12}$ | $C_4^2:C_2$ (as 16T17) | trivial |
20.8.825...000.1 | $x^{20} - 164 x^{18} - 39386 x^{16} - 1735888 x^{14} + 45530788 x^{12} + 5216047824 x^{10} + 115751784136 x^{8} - 245935109952 x^{6} - 33362756437968 x^{4} - 192082993753664 x^{2} + 1482676126341152$ | $2^{55}\cdot 5^{12}\cdot 1193^{4}\cdot 2609^{4}$ | $C_2^9.D_5^2.C_2^2$ (as 20T875) | trivial |