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Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 11.7.610429790897.1 | x11 - x10 - 4x9 + x8 + 5x7 + 7x6 - 7x5 - 5x4 + 7x3 - 3x2 - x + 1 | \( 610429790897 \) | $S_{11}$ (as 11T8) | Trivial |
| 11.7.808524990121.1 | x11 - 2x10 - x9 + 4x8 - x7 - 5x6 - x5 + 8x4 + 3x3 - 5x2 - x + 1 | \( 43\cdot 547\cdot 34374601 \) | $S_{11}$ (as 11T8) | Trivial |
| 11.7.835929782249.1 | x11 - x10 - x9 - 3x7 + 4x6 + 2x5 + x4 + 4x3 - 6x2 - 3x + 1 | \( 56509\cdot 14792861 \) | $S_{11}$ (as 11T8) | Trivial |
| 11.7.1135258109569.1 | x11 - 2x10 - x9 + 5x8 - 3x7 - 2x6 - 3x5 + 3x4 + 11x3 - 5x2 - 4x + 1 | \( 71\cdot 73\cdot 219034943 \) | $S_{11}$ (as 11T8) | Trivial |
| 11.7.1619043113033.1 | x11 - x10 - x9 + x8 + 3x6 - 7x5 - 7x4 + 8x3 + 5x2 - 2x - 1 | \( 1619043113033 \) | $S_{11}$ (as 11T8) | Trivial |
| 11.7.1792166448977.1 | x11 - x10 - x9 + x8 - 3x7 - 5x6 + 11x5 + 11x4 - 9x3 - 8x2 + x + 1 | \( 1792166448977 \) | $S_{11}$ (as 11T8) | Trivial |
| 11.7.2308712232653.1 | x11 - 2x10 - x9 + 3x8 - 3x7 + 4x6 + x5 - 6x4 + 6x3 + 2x2 - 3x - 1 | \( 349\cdot 6615221297 \) | $S_{11}$ (as 11T8) | Trivial |
| 11.7.63019333158425674204677255696384.1 | x11 - 3x10 - 36x9 + 60x8 + 213x7 - 9x6 - 114x5 - 180x4 - 108x3 + 6x2 + 36x + 54 | \( 2^{12}\cdot 3^{14}\cdot 7^{2}\cdot 23^{2}\cdot 137^{8} \) | $A_{11}$ (as 11T7) | Trivial (GRH) |