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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 12.0.25389989167104.1 | x12 - 6x9 + 14x6 - 12x3 + 4 | \( 2^{16}\cdot 3^{18} \) | $C_3\times S_3^2$ (as 12T70) | Trivial |
| 12.0.49613033497104.1 | x12 - 6x11 + 17x10 - 29x9 + 44x8 - 81x7 + 132x6 - 119x5 + 21x4 + 48x3 - 6x2 - 44x + 31 | \( 2^{4}\cdot 3^{6}\cdot 7^{4}\cdot 11^{6} \) | $C_3\times S_3^2$ (as 12T70) | Trivial |
| 12.0.96855122250000.2 | x12 - 3x9 + 5x6 - 6x3 + 4 | \( 2^{4}\cdot 3^{18}\cdot 5^{6} \) | $C_3\times S_3^2$ (as 12T70) | Trivial |
| 12.0.729274129765776.2 | x12 - x9 - x6 - 2x3 + 4 | \( 2^{4}\cdot 3^{18}\cdot 7^{6} \) | $C_3\times S_3^2$ (as 12T70) | Trivial |
| 12.12.1032386052096000000.1 | x12 - 6x11 - 11x10 + 106x9 - 36x8 - 526x7 + 563x6 + 534x5 - 654x4 - 258x3 + 189x2 + 90x + 9 | \( 2^{22}\cdot 3^{8}\cdot 5^{6}\cdot 7^{4} \) | $C_3\times S_3^2$ (as 12T70) | Trivial (GRH) |
| 12.12.83592007836822250000.1 | x12 - 3x11 - 31x10 + 63x9 + 281x8 - 547x7 - 954x6 + 2100x5 + 967x4 - 3270x3 + 351x2 + 1712x - 659 | \( 2^{4}\cdot 5^{6}\cdot 19^{4}\cdot 37^{6} \) | $C_3\times S_3^2$ (as 12T70) | Trivial (GRH) |