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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 18.2.7851540464532429050216448.1 | x18 - 6x16 - 12x14 - 24x13 + 60x12 + 96x11 + 147x10 + 200x9 + 78x8 - 216x7 - 618x6 - 528x5 + 288x4 + 456x3 + 54x2 + 48x + 68 | \( 2^{51}\cdot 3^{20} \) | $PSU(3,2)$ (as 18T35) | Trivial |
| 18.2.11777310696798643575324672.1 | x18 - 6x17 + 21x16 - 48x15 + 78x14 - 108x13 + 198x12 - 576x11 + 1674x10 - 3780x9 + 6498x8 - 8208x7 + 7614x6 - 4860x5 + 1782x4 - 351x2 + 162x - 27 | \( 2^{50}\cdot 3^{21} \) | $PSU(3,2)$ (as 18T35) | Trivial |
| 18.18.93275843046071704318619044189453125.1 | x18 - 3x17 - 63x16 + 198x15 + 1503x14 - 4947x13 - 16878x12 + 57978x11 + 91992x10 - 321677x9 - 256524x8 + 779346x7 + 512415x6 - 768105x5 - 588846x4 + 180750x3 + 224865x2 + 48300x + 2095 | \( 3^{20}\cdot 5^{13}\cdot 23^{12} \) | $PSU(3,2)$ (as 18T35) | Trivial (GRH) |
| 18.18.1287206634035789519596942809814453125.1 | x18 - 3x17 - 84x16 + 273x15 + 2358x14 - 8727x13 - 25149x12 + 118758x11 + 67869x10 - 693201x9 + 318291x8 + 1574322x7 - 1444974x6 - 1310592x5 + 1609968x4 + 345060x3 - 589545x2 - 19575x + 63075 | \( 3^{21}\cdot 5^{12}\cdot 23^{13} \) | $PSU(3,2)$ (as 18T35) | Trivial (GRH) |