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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
20.4.709...000.1 | $x^{20} - 20 x^{18} + 170 x^{16} - 8 x^{15} - 800 x^{14} + 120 x^{13} + 2275 x^{12} - 720 x^{11} - 5128 x^{10} + 2200 x^{9} + 15530 x^{8} - 3600 x^{7} - 41980 x^{6} + 7576 x^{5} + 57025 x^{4} - 23880 x^{3} - 28200 x^{2} + 22880 x + 19984$ | $2^{63}\cdot 3^{17}\cdot 5^{24}$ | $C_5^4:D_4.D_4$ (as 20T580) | trivial |
20.4.115...000.1 | $x^{20} + 180 x^{16} - 384 x^{15} - 9600 x^{14} - 7200 x^{13} - 83280 x^{12} - 69120 x^{11} - 864000 x^{10} - 4564800 x^{9} + 14038200 x^{8} + 35170560 x^{7} - 5898240 x^{6} - 102866112 x^{5} + 136059300 x^{4} + 467596800 x^{3} + 655810560 x^{2} + 637009920 x + 339738624$ | $2^{58}\cdot 3^{16}\cdot 5^{30}$ | $C_5^4:D_4.D_4$ (as 20T585) | trivial |