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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 12.0.65160500000000.1 | x12 - 2x11 + 4x10 + x9 + 5x8 + 8x7 + 53x6 + 44x5 + 59x4 + 19x3 + 13x2 + 5x + 1 | \( 2^{8}\cdot 5^{9}\cdot 19^{4} \) | $C_3\times (C_3 : C_4)$ (as 12T19) | Trivial |
| 12.0.461760500000000.1 | x12 - 3x11 + 5x10 + x9 + 25x8 + 34x7 + 87x6 + 98x5 + 129x4 + 29x3 + 18x2 + 6x + 1 | \( 2^{8}\cdot 5^{9}\cdot 31^{4} \) | $C_3\times (C_3 : C_4)$ (as 12T19) | $[3]$ |
| 12.12.16681088000000000.1 | x12 - 2x11 - 20x10 + 36x9 + 137x8 - 216x7 - 398x6 + 536x5 + 497x4 - 522x3 - 282x2 + 168x + 61 | \( 2^{16}\cdot 5^{9}\cdot 19^{4} \) | $C_3\times (C_3 : C_4)$ (as 12T19) | Trivial |
| 12.12.47502004500000000.1 | x12 - x11 - 23x10 + 19x9 + 161x8 - 122x7 - 369x6 + 334x5 + 163x4 - 167x3 - 8x2 + 12x + 1 | \( 2^{8}\cdot 3^{6}\cdot 5^{9}\cdot 19^{4} \) | $C_3\times (C_3 : C_4)$ (as 12T19) | Trivial |