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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 14.6.353814783205469041.1 | x14 - x13 - 6x12 + 6x11 + 21x10 - 17x9 - 41x8 + 33x7 + 27x6 - 48x5 - 14x4 + 67x3 + 13x2 - 23x - 1 | \( 29^{12} \) | $F_8$ (as 14T6) | Trivial |
| 14.14.5796901408038404767744.1 | x14 - 16x12 + 89x10 - 212x8 + 236x6 - 119x4 + 23x2 - 1 | \( 2^{14}\cdot 29^{12} \) | $F_8$ (as 14T6) | Trivial (GRH) |
| 14.6.29550964508103979773361.1 | x14 - 4x13 - 10x12 + 56x11 - 155x9 - 63x8 + 284x7 - 275x6 + 1331x5 - 2929x4 - 104x3 + 2981x2 - 393x - 389 | \( 17^{4}\cdot 29^{12} \) | $F_8$ (as 14T6) | Trivial |
| 14.14.95943073544227445938801.1 | x14 - x13 - 28x12 + 19x11 + 277x10 - 124x9 - 1186x8 + 395x7 + 2198x6 - 662x5 - 1425x4 + 457x3 + 170x2 - 35x - 7 | \( 7^{4}\cdot 43^{12} \) | $F_8$ (as 14T6) | Trivial |