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Results (displaying both matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 19.15.576681777827132056032356393049547912.1 | x19 - 4x18 - 9x17 + 54x16 + 4x15 - 273x14 + 190x13 + 657x12 - 794x11 - 749x10 + 1408x9 + 239x8 - 1230x7 + 266x6 + 485x5 - 243x4 - 42x3 + 54x2 - 13x + 1 | \( 2^{3}\cdot 5783\cdot 631751\cdot 4586531\cdot 15400183\cdot 279342423421 \) | $S_{19}$ (as 19T8) | Trivial (GRH) |
| 19.15.13683231875454646605929827550768631521.1 | x19 - 4x18 - 12x17 + 58x16 + 55x15 - 343x14 - 118x13 + 1061x12 + 109x11 - 1835x10 - 10x9 + 1773x8 - 31x7 - 924x6 - 9x5 + 247x4 + 14x3 - 29x2 - 2x + 1 | \( 37\cdot 12871711399\cdot 28730995145192693176301867 \) | $S_{19}$ (as 19T8) | Trivial (GRH) |