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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 18.6.584867874156540975625.1 | x18 - 6x16 - 4x15 + 20x14 - 6x13 - 39x12 + 62x11 + 106x10 - 86x9 - 244x8 + 6x7 + 275x6 + 63x5 - 132x4 - 44x3 + 17x2 + 9x + 1 | \( 5^{4}\cdot 23^{6}\cdot 43^{6} \) | 18T224 | Trivial |
| 18.6.1112034511392862094521.1 | x18 - x17 - 16x15 + 30x13 + 51x12 - 18x11 - 87x10 - 44x9 + 26x8 + 112x7 - 22x6 - 15x5 - 40x4 + 20x3 + 10x2 - 7x + 1 | \( 11^{6}\cdot 29^{4}\cdot 31^{6} \) | 18T224 | Trivial |
| 18.6.1181540996318858180625.1 | x18 - 5x16 - x15 - x14 - 12x13 + 21x12 + 13x11 - 53x10 + 17x9 + 13x8 - 62x7 + 43x6 + 23x5 - 42x4 + x3 - 10x2 - 12x - 1 | \( 3^{8}\cdot 5^{4}\cdot 257^{6} \) | 18T224 | Trivial |
| 18.6.2343965876968631566336.1 | x18 - 3x17 - x16 + 15x15 - 18x14 - 2x13 + 42x12 - 47x11 - 24x10 + 58x9 - 24x8 - 47x7 + 42x6 - 2x5 - 18x4 + 15x3 - x2 - 3x + 1 | \( 2^{22}\cdot 7^{6}\cdot 41^{6} \) | 18T224 | Trivial |
| 18.18.11041459439984034718687966224.1 | x18 - 9x17 + 12x16 + 108x15 - 387x14 + 105x13 + 1323x12 - 1737x11 - 969x10 + 3107x9 - 969x8 - 1737x7 + 1323x6 + 105x5 - 387x4 + 108x3 + 12x2 - 9x + 1 | \( 2^{4}\cdot 3^{24}\cdot 367^{6} \) | 18T224 | Trivial (GRH) |
| 18.18.119255036795498941281410514064.1 | x18 - x17 - 38x16 + 60x15 + 473x14 - 933x13 - 2396x12 + 5859x11 + 4358x10 - 16053x9 + 637x8 + 17775x7 - 6199x6 - 7804x5 + 3663x4 + 1183x3 - 551x2 - 36x + 1 | \( 2^{4}\cdot 193^{6}\cdot 229^{6} \) | 18T224 | Trivial (GRH) |