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Results (displaying all 3 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 22.0.45838394542255573972509544658660888671875.1 | x22 - x21 + 21x20 - 40x19 + 325x18 - 597x17 + 2667x16 - 4827x15 + 15510x14 - 22580x13 + 42773x12 - 36183x11 + 50648x10 - 29240x9 + 42285x8 - 15537x7 + 18462x6 - 4332x5 + 5605x4 - 760x3 + 441x2 + 44x + 16 | \( -\,3^{21}\cdot 5^{20}\cdot 11^{16} \) | $C_2\times C_{11}:C_5$ (as 22T5) | $[93]$ (GRH) |
| 22.22.76397324237092623287515907764434814453125.1 | x22 - 9x21 - 16x20 + 315x19 - 170x18 - 4323x17 + 5307x16 + 30348x15 - 44775x14 - 120705x13 + 180264x12 + 285909x11 - 379689x10 - 406980x9 + 414510x8 + 326688x7 - 216132x6 - 122958x5 + 46165x4 + 13185x3 - 3964x2 - 9x + 19 | \( 3^{20}\cdot 5^{21}\cdot 11^{16} \) | $C_2\times C_{11}:C_5$ (as 22T5) | Trivial (GRH) |
| 22.22.61010903135742168957410203940677642822265625.1 | x22 - 6x21 - 78x20 + 510x19 + 2025x18 - 15807x17 - 18933x16 + 225726x15 + 15870x14 - 1647660x13 + 763635x12 + 6354345x11 - 4837830x10 - 12475935x9 + 12236985x8 + 10413186x7 - 13357071x6 - 1127478x5 + 4770660x4 - 952095x3 - 312471x2 + 60561x + 9498 | \( 3^{21}\cdot 5^{20}\cdot 11^{19} \) | $C_2\times C_{11}:C_5$ (as 22T5) | Trivial (GRH) |