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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 18.2.2463405967062215950336.1 | x18 - 5x16 + 12x14 - x12 - 16x10 - 5x8 + 15x6 + 4x4 - 4 | \( 2^{24}\cdot 59^{8} \) | $C_2^2:D_9$ (as 18T38) | Trivial |
| 18.2.9853623868248863801344.1 | x18 - 5x16 + 9x14 - 7x12 - 6x10 + 20x8 - 4x6 - 16x4 - 4x2 - 4 | \( 2^{26}\cdot 59^{8} \) | $C_2^2:D_9$ (as 18T38) | Trivial |
| 18.6.2639681540649602137412161.1 | x18 - 10x16 - 6x15 + 28x14 + 31x13 - 27x12 - 51x11 + 8x10 + 53x9 + 8x8 - 51x7 - 27x6 + 31x5 + 28x4 - 6x3 - 10x2 + 1 | \( 1129^{8} \) | $C_2^2:D_9$ (as 18T38) | Trivial |
| 18.6.1924327843133559958173465369.1 | x18 - 2x17 + x16 - 5x15 - 59x14 + 73x13 - 89x12 - 319x11 + 447x10 - 713x9 - 5x8 + 1739x7 - 2306x6 - 97x5 + 1215x4 + 1053x3 + 1087x2 - 77x - 121 | \( 3^{6}\cdot 1129^{8} \) | $C_2^2:D_9$ (as 18T38) | Trivial |
| 18.18.691976677792049302709773533184.1 | x18 - 19x16 + 144x14 - 566x12 + 1256x10 - 1607x8 + 1160x6 - 438x4 + 69x2 - 1 | \( 2^{18}\cdot 1129^{8} \) | $C_2^2:D_9$ (as 18T38) | Trivial (GRH) |
| 18.18.124186143639297844854038174358841.1 | x18 - x17 - 51x16 + 62x15 + 908x14 - 1343x13 - 6930x12 + 12378x11 + 21330x10 - 48198x9 - 19406x8 + 77348x7 - 7806x6 - 52544x5 + 16950x4 + 13242x3 - 5619x2 - 571x + 239 | \( 19^{6}\cdot 1129^{8} \) | $C_2^2:D_9$ (as 18T38) | Trivial (GRH) |