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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
21.21.340...656.1 | $x^{21} - 42 x^{19} + 756 x^{17} - 7616 x^{15} - 24 x^{14} + 47040 x^{13} + 672 x^{12} - 183456 x^{11} - 7392 x^{10} + 448448 x^{9} + 40320 x^{8} - 658480 x^{7} - 112896 x^{6} + 525728 x^{5} + 150528 x^{4} - 171136 x^{3} - 75264 x^{2} - 4480 x + 832$ | $2^{18}\cdot 7^{38}$ | $C_7:C_{21}$ (as 21T13) | trivial |
21.21.340...656.2 | $x^{21} - 42 x^{19} + 756 x^{17} - 7616 x^{15} - 32 x^{14} + 47040 x^{13} + 896 x^{12} - 183456 x^{11} - 9856 x^{10} + 448448 x^{9} + 53760 x^{8} - 658368 x^{7} - 150528 x^{6} + 524160 x^{5} + 200704 x^{4} - 164864 x^{3} - 100352 x^{2} - 10752 x + 512$ | $2^{18}\cdot 7^{38}$ | $C_7:C_{21}$ (as 21T13) | trivial |