Further refine search
Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 14.2.1068249673759921.1 | x14 + x12 - x10 + 2x8 - 7x6 + x4 + 3x2 - 1 | \( 5717^{4} \) | 14T34 | Trivial |
| 14.2.1328264921546161.1 | x14 - 2x12 - 3x10 + 10x8 - 6x6 - 5x4 + 7x2 - 1 | \( 6037^{4} \) | 14T34 | Trivial |
| 14.6.47664237191102464.1 | x14 + 2x12 + 3x10 + 3x8 + 3x6 - 16x4 + 9x2 - 1 | \( 2^{18}\cdot 653^{4} \) | 14T34 | Trivial |
| 14.6.66054033183883264.2 | x14 - 6x12 + 14x10 - 19x8 + 22x6 - 20x4 + 8x2 - 1 | \( 2^{14}\cdot 13^{4}\cdot 109^{4} \) | 14T34 | Trivial |
| 14.6.449152684508839936.2 | x14 - 7x13 + 27x12 - 71x11 + 123x10 - 131x9 + 11x8 + 247x7 - 533x6 + 665x5 - 559x4 + 321x3 - 118x2 + 24x - 2 | \( 2^{20}\cdot 809^{4} \) | 14T34 | Trivial |
| 14.6.1190527631142424576.1 | x14 - 7x13 + 25x12 - 59x11 + 79x10 - 21x9 - 159x8 + 399x7 - 483x6 + 313x5 - 39x4 - 109x3 + 86x2 - 26x - 2 | \( 2^{12}\cdot 4129^{4} \) | 14T34 | Trivial |
| 14.14.103445227318228025344.1 | x14 - 17x12 + 106x10 - 304x8 + 419x6 - 259x4 + 59x2 - 1 | \( 2^{18}\cdot 4457^{4} \) | 14T34 | Trivial |
| 14.14.275168988624452583424.1 | x14 - 17x12 + 104x10 - 296x8 + 408x6 - 252x4 + 60x2 - 4 | \( 2^{26}\cdot 1423^{4} \) | 14T34 | Trivial |