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Results (displaying all 3 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 17.1.133249137678121328919445504.1 | x17 - 3x16 - 4x14 + 12x13 + 24x12 + 12x11 - 28x10 - 90x9 - 74x8 + 116x6 + 132x5 + 72x4 + 28x3 + 12x2 + 5x + 1 | \( 2^{30}\cdot 137^{8} \) | $\PSL(2,16)$ (as 17T6) | $[15]$ |
| 17.1.861526607800060221948166144.1 | x17 - x16 - 4x15 + 2x14 + 54x13 - 6x12 - 36x11 + 16x10 + 714x9 + 1238x8 + 484x7 - 764x6 - 1084x5 + 520x4 + 668x3 - 776x2 + 382x - 74 | \( 2^{30}\cdot 173^{8} \) | $\PSL(2,16)$ (as 17T6) | $[15]$ (GRH) |
| 17.1.2640732930336770744777703424.1 | x17 - 2x16 - 14x15 + 16x14 + 116x13 - 92x12 - 520x11 - 12x10 + 612x9 - 1488x8 - 1540x7 - 180x6 + 1580x5 - 1192x4 + 1608x3 - 844x2 + 122x - 40 | \( 2^{30}\cdot 199^{8} \) | $\PSL(2,16)$ (as 17T6) | $[15]$ (GRH) |