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Results (displaying both matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 22.0.385820113812010750478864385892000309956033536.1 | x22 - 8x21 + 58x20 - 396x19 + 2079x18 - 10043x17 + 44781x16 - 172722x15 + 587862x14 - 1807377x13 + 5129410x12 - 13519264x11 + 32472704x10 - 71190955x9 + 143941842x8 - 264596266x7 + 422694019x6 - 543667399x5 + 522042400x4 - 344473206x3 + 174513339x2 - 209238282x + 197813583 | \( -\,2^{10}\cdot 7^{11}\cdot 11^{18}\cdot 17^{11} \) | 22T25 | $[10]$ (GRH) |
| 22.0.831107638802333745804311925084476212698528768.1 | x22 - 6x21 + 54x20 - 220x19 + 704x18 - 1529x17 + 2684x16 - 2816x15 + 935x14 + 6919x13 - 18469x12 + 32934x11 - 31603x10 + 13915x9 + 32791x8 - 80344x7 + 138424x6 - 164197x5 + 132495x4 - 44770x3 + 20691x2 - 44286x + 23837 | \( -\,2^{10}\cdot 3^{10}\cdot 11^{18}\cdot 47^{11} \) | 22T25 | $[5]$ (GRH) |