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Results (displaying both matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 23.9.9554598217771454170076503812873306955636.1 | x23 - x22 - 4x21 - 3x20 + 10x19 + 17x18 - 2x17 - 26x16 - 21x15 + 15x14 + 19x13 - 7x12 - 18x11 + 15x10 + 35x9 - 33x7 - 24x6 + 12x5 + 16x4 + 3x3 - 5x2 - 2x + 1 | \( -\,2^{2}\cdot 19\cdot 432841815513398891\cdot 290448827022730856621 \) | $S_{23}$ (as 23T7) | Trivial (GRH) |
| 23.9.30040962001154759467875853831400403771043.1 | x23 - 2x22 - 4x21 + 6x20 + 10x19 - 7x18 - 14x17 + 11x16 + 12x15 - 31x14 - 36x13 + 41x12 + 89x11 + 5x10 - 105x9 - 65x8 + 56x7 + 68x6 - 7x5 - 34x4 - 4x3 + 9x2 + x - 1 | \( -\,508621\cdot 158113511\cdot 1092887040821\cdot 341802543194293 \) | $S_{23}$ (as 23T7) | Trivial (GRH) |