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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
21.9.161...096.1 | $x^{21} - 35 x^{19} + 182 x^{17} + 5075 x^{15} - 1472 x^{14} - 53753 x^{13} + 28532 x^{12} - 73549 x^{11} + 318976 x^{10} + 2259145 x^{9} - 3575796 x^{8} - 5532374 x^{7} - 29660876 x^{6} - 25531520 x^{5} + 79733192 x^{4} - 37360225 x^{3} + 233927960 x^{2} - 169256528 x + 25712576$ | $2^{18}\cdot 7^{38}\cdot 41^{6}$ | $C_7^3:A_4$ (as 21T36) | trivial |
21.9.662...544.1 | $x^{21} - 70 x^{19} - 5887 x^{17} + 428680 x^{15} - 39460 x^{14} + 4202632 x^{13} - 13197254 x^{12} - 573732572 x^{11} + 577718400 x^{10} + 7280679700 x^{9} - 10104570658 x^{8} + 56822241145 x^{7} + 200192438138 x^{6} - 1225931184422 x^{5} - 2942729744920 x^{4} + 3195095162105 x^{3} + 13880363266378 x^{2} + 13197661027936 x + 4099725079976$ | $2^{18}\cdot 7^{38}\cdot 29^{6}\cdot 83^{6}$ | $C_7^3:A_4$ (as 21T36) | trivial |