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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 18.0.33019305672452059136.1 | x18 - 5x17 + 18x16 - 49x15 + 107x14 - 195x13 + 299x12 - 386x11 + 419x10 - 377x9 + 276x8 - 164x7 + 84x6 - 45x5 + 30x4 - 20x3 + 11x2 - 4x + 1 | \( -\,2^{12}\cdot 11^{9}\cdot 43^{4} \) | $C_3\wr S_3$ (as 18T86) | Trivial |
| 18.0.159454750090555798103.1 | x18 + 3x16 - 6x15 + 9x14 - 6x13 + 26x12 - 26x11 + 25x10 - 25x9 + 45x8 - 25x7 + 43x6 - 23x5 + 13x4 + 4x3 - x2 + x + 1 | \( -\,23^{9}\cdot 97^{4} \) | $C_3\wr S_3$ (as 18T86) | Trivial |
| 18.18.3245833493018808094352478709.1 | x18 - 3x17 - 32x16 + 95x15 + 401x14 - 1165x13 - 2559x12 + 7131x11 + 9135x10 - 23692x9 - 18450x8 + 43078x7 + 19585x6 - 40257x5 - 8341x4 + 15830x3 - 82x2 - 1065x - 53 | \( 37^{4}\cdot 229^{9} \) | $C_3\wr S_3$ (as 18T86) | Trivial (GRH) |
| 18.18.67720078057235840614713990737.1 | x18 - 8x17 - 9x16 + 213x15 - 249x14 - 2020x13 + 4422x12 + 7669x11 - 26546x10 - 4533x9 + 68371x8 - 38195x7 - 60791x6 + 69407x5 - 10013x4 - 11870x3 + 4352x2 - 225x - 25 | \( 61^{4}\cdot 257^{9} \) | $C_3\wr S_3$ (as 18T86) | Trivial (GRH) |