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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
21.21.656...521.1 | $x^{21} - 7 x^{20} - 42 x^{19} + 476 x^{18} - 630 x^{17} - 6384 x^{16} + 26810 x^{15} - 16603 x^{14} - 134918 x^{13} + 424998 x^{12} - 570745 x^{11} + 331016 x^{10} + 63070 x^{9} - 212492 x^{8} + 109569 x^{7} - 1302 x^{6} - 18788 x^{5} + 6559 x^{4} - 462 x^{3} - 154 x^{2} + 28 x - 1$ | $7^{32}\cdot 29^{6}$ | $C_7\wr C_3$ (as 21T28) | trivial |
21.21.555...521.1 | $x^{21} - 3 x^{20} - 36 x^{19} + 116 x^{18} + 386 x^{17} - 1470 x^{16} - 1092 x^{15} + 6907 x^{14} - 670 x^{13} - 14826 x^{12} + 7395 x^{11} + 15158 x^{10} - 11778 x^{9} - 6566 x^{8} + 7595 x^{7} + 422 x^{6} - 1956 x^{5} + 297 x^{4} + 159 x^{3} - 35 x^{2} - 4 x + 1$ | $7^{14}\cdot 14197^{6}$ | $C_7\wr C_3$ (as 21T28) | trivial |