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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
23.5.137...908.1 | $x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 11 x^{11} - 54 x^{10} - 47 x^{9} + 12 x^{8} + 43 x^{7} + 17 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$ | $-\,2^{2}\cdot 641\cdot 31357146703\cdot 17127956171402395614949$ | $S_{23}$ (as 23T7) | trivial |
23.5.250...508.1 | $x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 10 x^{11} - 54 x^{10} - 47 x^{9} + 12 x^{8} + 44 x^{7} + 17 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$ | $-\,2^{2}\cdot 1307\cdot 1787\cdot 28687\cdot 512717\cdot 18216368638827725857$ | $S_{23}$ (as 23T7) | trivial |