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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 12.0.63995902381.1 | x12 - x11 + 2x9 - x8 - 4x7 + 5x6 - x5 - x4 - x3 + 4x2 - 3x + 1 | \( 73^{2}\cdot 229^{3} \) | 12T231 | Trivial |
| 12.0.74948100349.1 | x12 - x11 - x10 + 2x9 + 2x8 - 5x7 + 3x6 + 2x4 - 6x3 + 7x2 - 4x + 1 | \( 79^{2}\cdot 229^{3} \) | 12T231 | Trivial |
| 12.6.10513415548928.1 | x12 - 2x11 - x10 + 4x9 - 11x8 + 20x7 - 12x6 + 8x4 - 4x3 - x2 - 2x + 1 | \( -\,2^{12}\cdot 67^{2}\cdot 83^{3} \) | 12T231 | Trivial |
| 12.6.10721964631207.1 | x12 - 2x11 - x10 + 8x9 - 7x8 - 3x7 + 7x6 - 9x5 + 7x4 - 6x2 + 5x - 1 | \( -\,61^{2}\cdot 1423^{3} \) | 12T231 | Trivial |
| 12.12.669346477420869.1 | x12 - x11 - 12x10 + 10x9 + 50x8 - 34x7 - 87x6 + 51x5 + 61x4 - 33x3 - 12x2 + 8x - 1 | \( 3^{3}\cdot 103^{2}\cdot 1327^{3} \) | 12T231 | Trivial |
| 12.12.5021611563400141.1 | x12 - 14x10 - 7x9 + 63x8 + 45x7 - 115x6 - 86x5 + 93x4 + 60x3 - 30x2 - 12x + 1 | \( 71^{3}\cdot 79^{2}\cdot 131^{3} \) | 12T231 | Trivial |