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Results (displaying both matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 22.2.102653502644738770935211181640625.1 | x22 - x21 - 11x20 + 5x19 + 71x18 + 39x17 - 241x16 - 440x15 + 36x14 + 974x13 + 1084x12 - 1095x11 - 6129x10 - 12496x9 - 16556x8 - 15445x7 - 9954x6 - 3936x5 - 451x4 + 325x3 + 155x2 - 10x - 5 | \( 5^{16}\cdot 11^{20} \) | $C_{11}:D_{11}.C_2$ (as 22T8) | Trivial (GRH) |
| 22.2.69060143384057543649123162895045349831909332275390625.1 | x22 + 44x20 - 704x18 - 1694x17 + 5489x16 - 181016x15 - 321409x14 + 1107876x13 - 11311036x12 + 24054074x11 + 268019961x10 + 590825576x9 + 7709668824x8 - 18265694150x7 + 68368497131x6 + 222554589730x5 - 308868066991x4 + 45202657280x3 - 20879387045x2 + 107908541730x + 10858117145 | \( 5^{16}\cdot 11^{40} \) | $C_{11}:D_{11}.C_2$ (as 22T8) | $[11]$ (GRH) |