Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 18.0.144784752906623254803.1 | x18 - 9x17 + 39x16 - 108x15 + 201x14 - 231x13 + 99x12 + 147x11 - 333x10 + 389x9 - 333x8 + 147x7 + 99x6 - 231x5 + 201x4 - 108x3 + 39x2 - 9x + 1 | \( -\,3^{21}\cdot 7^{12} \) | $He_3:C_2$ (as 18T20) | Trivial |
| 18.0.328256967394537077627.1 | x18 + 3x12 - 2x9 + 9x6 - 3x3 + 1 | \( -\,3^{43} \) | $He_3:C_2$ (as 18T20) | Trivial |
| 18.18.191472242557130561520018973937664.1 | x18 - 4x17 - 78x16 + 284x15 + 2310x14 - 7399x13 - 33669x12 + 90384x11 + 267586x10 - 554078x9 - 1204383x8 + 1654492x7 + 3046555x6 - 2007012x5 - 3972458x4 + 183745x3 + 1953503x2 + 824787x + 100591 | \( 2^{12}\cdot 3^{9}\cdot 7^{15}\cdot 29^{8} \) | $He_3:C_2$ (as 18T20) | Trivial (GRH) |
| 18.18.570267403955912384799325092052992.1 | x18 - 4x17 - 68x16 + 456x15 + 154x14 - 7390x13 + 13879x12 + 28718x11 - 112571x10 + 51052x9 + 176585x8 - 192314x7 - 20421x6 + 57892x5 + 9156x4 - 2204x3 - 397x2 - 4x + 1 | \( 2^{18}\cdot 3^{9}\cdot 7^{12}\cdot 41^{8} \) | $He_3:C_2$ (as 18T20) | Trivial (GRH) |