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Results (displaying both matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 17.7.559984114089585033938881789952.1 | x17 - x16 - 3x15 + 2x14 - 2x13 + x12 + 9x11 + 5x10 + 4x9 - 9x8 - 16x7 - 12x6 - 2x5 + 12x4 + 13x3 + 3x2 - 2x - 1 | \( -\,2^{14}\cdot 30853\cdot 1417858217\cdot 781313923903 \) | $S_{17}$ (as 17T10) | Trivial (GRH) |
| 17.7.686926591471712741469441900544.1 | x17 - 14x15 - x14 + 76x13 + 11x12 - 207x11 - 49x10 + 312x9 + 104x8 - 281x7 - 98x6 + 156x5 + 39x4 - 50x3 - 3x2 + 7x - 1 | \( -\,2^{14}\cdot 487\cdot 19170871\cdot 61763909\cdot 72708437 \) | $S_{17}$ (as 17T10) | Trivial (GRH) |