Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
23.11.110...432.1 | $x^{23} - 7 x^{22} + 2 x^{21} + 88 x^{20} - 150 x^{19} - 422 x^{18} + 1148 x^{17} + 862 x^{16} - 4167 x^{15} - 105 x^{14} + 8563 x^{13} - 2935 x^{12} - 10393 x^{11} + 5920 x^{10} + 7285 x^{9} - 5405 x^{8} - 2661 x^{7} + 2503 x^{6} + 354 x^{5} - 537 x^{4} + 18 x^{3} + 39 x^{2} - 2 x - 1$ | $2^{10}\cdot 22483\cdot 2527336563667297\cdot 19007452217635529293$ | $S_{23}$ (as 23T7) | trivial |
23.11.148...953.1 | $x^{23} - 7 x^{22} + 2 x^{21} + 88 x^{20} - 150 x^{19} - 422 x^{18} + 1148 x^{17} + 862 x^{16} - 4167 x^{15} - 105 x^{14} + 8563 x^{13} - 2935 x^{12} - 10393 x^{11} + 5920 x^{10} + 7285 x^{9} - 5405 x^{8} - 2661 x^{7} + 2503 x^{6} + 354 x^{5} - 537 x^{4} + 21 x^{3} + 39 x^{2} - 2 x - 1$ | $53\cdot 317\cdot 438479\cdot 20\!\cdots\!07$ | $S_{23}$ (as 23T7) | trivial |