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Results (displaying both matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 17.13.2232673506822932495146063557.1 | x17 - x16 - 17x15 + 17x14 + 112x13 - 115x12 - 356x11 + 389x10 + 547x9 - 675x8 - 342x7 + 560x6 + 27x5 - 205x4 + 42x3 + 24x2 - 10x + 1 | \( 3^{3}\cdot 205542871\cdot 402308340646912121 \) | $S_{17}$ (as 17T10) | Trivial (GRH) |
| 17.13.48355483485632558529311156800.1 | x17 - 4x16 - 6x15 + 41x14 - 5x13 - 163x12 + 112x11 + 322x10 - 315x9 - 342x8 + 381x7 + 204x6 - 216x5 - 70x4 + 55x3 + 13x2 - 5x - 1 | \( 2^{6}\cdot 5^{2}\cdot 7529\cdot 4014102427748751372137 \) | $S_{17}$ (as 17T10) | Trivial (GRH) |