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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
22.2.499...288.1 | $x^{22} - 8 x^{21} + 23 x^{20} - 8 x^{19} - 123 x^{18} + 364 x^{17} - 662 x^{16} + 1316 x^{15} - 2070 x^{14} + 1360 x^{13} - 62 x^{12} + 2204 x^{11} - 5167 x^{10} + 2080 x^{9} + 795 x^{8} + 8072 x^{7} - 22483 x^{6} + 26464 x^{5} - 17824 x^{4} + 7236 x^{3} - 1720 x^{2} + 224 x - 8$ | $2^{22}\cdot 3^{11}\cdot 11^{20}$ | $D_{11}^2$ (as 22T9) | trivial |
22.2.336...888.1 | $x^{22} + 44 x^{20} - 44 x^{19} + 1232 x^{18} - 12892 x^{17} + 75790 x^{16} - 585508 x^{15} + 2442352 x^{14} - 15102780 x^{13} + 119139548 x^{12} - 659105044 x^{11} + 3437427653 x^{10} - 18050078772 x^{9} + 84322007704 x^{8} - 343375574872 x^{7} + 1171364754340 x^{6} - 3093851273920 x^{5} + 6196361225120 x^{4} - 9782751374528 x^{3} + 11516770365584 x^{2} - 7712130115008 x + 1476749756992$ | $2^{22}\cdot 3^{11}\cdot 11^{40}$ | $D_{11}^2$ (as 22T9) | trivial |