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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
23.17.696...863.1 | $x^{23} - 3 x^{22} - 18 x^{21} + 55 x^{20} + 141 x^{19} - 429 x^{18} - 638 x^{17} + 1858 x^{16} + 1864 x^{15} - 4889 x^{14} - 3693 x^{13} + 8033 x^{12} + 4990 x^{11} - 8160 x^{10} - 4433 x^{9} + 4919 x^{8} + 2383 x^{7} - 1652 x^{6} - 677 x^{5} + 297 x^{4} + 89 x^{3} - 27 x^{2} - 4 x + 1$ | $-\,17\cdot 40\!\cdots\!39$ | $S_{23}$ (as 23T7) | trivial |
23.17.114...047.1 | $x^{23} - 3 x^{22} - 18 x^{21} + 55 x^{20} + 141 x^{19} - 429 x^{18} - 638 x^{17} + 1858 x^{16} + 1864 x^{15} - 4889 x^{14} - 3693 x^{13} + 8033 x^{12} + 4990 x^{11} - 8160 x^{10} - 4433 x^{9} + 4919 x^{8} + 2383 x^{7} - 1652 x^{6} - 677 x^{5} + 298 x^{4} + 89 x^{3} - 28 x^{2} - 4 x + 1$ | $-\,1223\cdot 879051344165227\cdot 1061634057189152640819707$ | $S_{23}$ (as 23T7) | trivial |