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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
21.21.250...416.1 | $x^{21} - 42 x^{19} + 756 x^{17} - 7616 x^{15} - 34 x^{14} + 47040 x^{13} + 952 x^{12} - 183456 x^{11} - 10472 x^{10} + 448448 x^{9} + 57120 x^{8} - 658224 x^{7} - 159936 x^{6} + 522144 x^{5} + 213248 x^{4} - 156800 x^{3} - 106624 x^{2} - 18816 x - 896$ | $2^{18}\cdot 7^{31}\cdot 67^{7}$ | $C_7^2:(C_3\times S_3)$ (as 21T26) | trivial |
21.7.948...608.1 | $x^{21} - 42 x^{19} + 756 x^{17} - 7616 x^{15} - 20 x^{14} + 47040 x^{13} + 560 x^{12} - 183456 x^{11} - 6160 x^{10} + 448448 x^{9} + 33600 x^{8} - 657588 x^{7} - 94080 x^{6} + 513240 x^{5} + 125440 x^{4} - 121184 x^{3} - 62720 x^{2} - 54432 x - 3760$ | $-\,2^{18}\cdot 7^{30}\cdot 107^{7}$ | $C_7^2:(C_3\times S_3)$ (as 21T26) | trivial |