Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 12.0.44533203125.1 | x12 - 2x11 + 7x10 - 7x9 + 14x8 - 6x7 + 13x6 - 2x5 + 10x4 - 2x3 + 5x2 - x + 1 | \( 5^{9}\cdot 151^{2} \) | $C_3\times C_3^2:(C_3:C_4)$ (as 12T131) | Trivial |
| 12.0.213986328125.1 | x12 - 2x11 - x10 + 9x9 - 7x8 - 11x7 + 20x6 + x5 - 19x4 + 8x3 + 6x2 - 5x + 1 | \( 5^{9}\cdot 331^{2} \) | $C_3\times C_3^2:(C_3:C_4)$ (as 12T131) | Trivial |
| 12.12.13086728000000000.1 | x12 - 2x11 - 15x10 + 36x9 + 62x8 - 206x7 + 2x6 + 366x5 - 298x4 + 28x3 + 38x2 - 12x + 1 | \( 2^{12}\cdot 5^{9}\cdot 1279^{2} \) | $C_3\times C_3^2:(C_3:C_4)$ (as 12T131) | Trivial |
| 12.12.31968008000000000.1 | x12 - 6x11 - 3x10 + 64x9 - 64x8 - 152x7 + 221x6 + 114x5 - 227x4 - 12x3 + 72x2 - 8x - 4 | \( 2^{12}\cdot 5^{9}\cdot 1999^{2} \) | $C_3\times C_3^2:(C_3:C_4)$ (as 12T131) | Trivial |