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Results (displaying both matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 22.0.4978518112499354698647829163838661251242411.2 | x22 - 44x19 - 66x18 + 704x17 + 2673x16 + 2706x15 - 15686x14 - 58828x13 - 64306x12 + 193023x11 + 804166x10 + 1061170x9 - 198088x8 - 4704557x7 - 9674137x6 - 8569429x5 + 12214961x4 + 48915955x3 + 96352960x2 + 90503600x + 76515613 | \( -\,11^{41} \) | $C_{11}\times D_{11}$ (as 22T7) | Trivial (GRH) |
| 22.0.4978518112499354698647829163838661251242411.3 | x22 - 44x19 - 66x18 + 220x17 + 2673x16 - 7216x15 + 18073x14 - 24948x13 - 71324x12 + 287634x11 + 372922x10 - 259182x9 + 1065273x8 + 873180x7 + 548185x6 + 2092728x5 + 2668061x4 + 545116x3 + 4041697x2 + 459635x + 2001481 | \( -\,11^{41} \) | $C_{11}\times D_{11}$ (as 22T7) | Trivial (GRH) |