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Results (displaying both matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 19.9.1598194952468587114325789491156.1 | x19 - 3x18 - 8x17 + 30x16 + 16x15 - 115x14 + 31x13 + 208x12 - 175x11 - 165x10 + 280x9 + 5x8 - 206x7 + 82x6 + 75x5 - 54x4 - 13x3 + 13x2 + x - 1 | \( -\,2^{2}\cdot 937\cdot 971\cdot 4676220259\cdot 93910895860973 \) | $S_{19}$ (as 19T8) | Trivial (GRH) |
| 19.9.1388142379667992699741943954318476.1 | x19 - 2x18 - 14x17 + 23x16 + 83x15 - 104x14 - 274x13 + 234x12 + 555x11 - 274x10 - 708x9 + 162x8 + 554x7 - 50x6 - 246x5 + 17x4 + 56x3 - 7x2 - 5x + 1 | \( -\,2^{2}\cdot 347035594916998174935485988579619 \) | $S_{19}$ (as 19T8) | Trivial (GRH) |