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Results (4 matches)
Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
14.6.353814783205469041.1 | $x^{14} - x^{13} - 6 x^{12} + 6 x^{11} + 21 x^{10} - 17 x^{9} - 41 x^{8} + 33 x^{7} + 27 x^{6} - 48 x^{5} - 14 x^{4} + 67 x^{3} + 13 x^{2} - 23 x - 1$ | $29^{12}$ | $F_8$ (as 14T6) | trivial |
14.14.579...744.1 | $x^{14} - 16 x^{12} + 89 x^{10} - 212 x^{8} + 236 x^{6} - 119 x^{4} + 23 x^{2} - 1$ | $2^{14}\cdot 29^{12}$ | $F_8$ (as 14T6) | trivial |
14.6.295...361.1 | $x^{14} - 4 x^{13} - 10 x^{12} + 56 x^{11} - 155 x^{9} - 63 x^{8} + 284 x^{7} - 275 x^{6} + 1331 x^{5} - 2929 x^{4} - 104 x^{3} + 2981 x^{2} - 393 x - 389$ | $17^{4}\cdot 29^{12}$ | $F_8$ (as 14T6) | trivial |
14.14.959...801.1 | $x^{14} - x^{13} - 28 x^{12} + 19 x^{11} + 277 x^{10} - 124 x^{9} - 1186 x^{8} + 395 x^{7} + 2198 x^{6} - 662 x^{5} - 1425 x^{4} + 457 x^{3} + 170 x^{2} - 35 x - 7$ | $7^{4}\cdot 43^{12}$ | $F_8$ (as 14T6) | trivial |