Refine search
Results (displaying both matches)
Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
21.21.103...456.1 | $x^{21} - 84 x^{19} + 3024 x^{17} - 60928 x^{15} - 537 x^{14} + 752640 x^{13} + 30072 x^{12} - 5870592 x^{11} - 661584 x^{10} + 28700672 x^{9} + 7217280 x^{8} - 84208818 x^{7} - 40416768 x^{6} + 132440952 x^{5} + 107778048 x^{4} - 70458304 x^{3} - 107778048 x^{2} - 38914176 x - 3818312$ | $2^{12}\cdot 3^{28}\cdot 7^{32}$ | $C_7^2:C_3^2$ (as 21T21) | $[3]$ |
21.21.662...184.1 | $x^{21} - 84 x^{19} + 3024 x^{17} - 60928 x^{15} - 138 x^{14} + 752640 x^{13} + 7728 x^{12} - 5870592 x^{11} - 170016 x^{10} + 28700672 x^{9} + 1854720 x^{8} - 84318144 x^{7} - 10386432 x^{6} + 135502080 x^{5} + 27697152 x^{4} - 94947328 x^{3} - 27697152 x^{2} + 10063872 x - 577536$ | $2^{18}\cdot 3^{28}\cdot 7^{32}$ | $C_7^2:C_3^2$ (as 21T21) | $[3]$ |