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Results (6 matches)

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Label Polynomial Discriminant Galois group Class group
12.4.630...936.1 x12 - 12x10 - 8x9 + 21x8 + 36x7 + 192x6 + 240x5 - 84x4 - 68x3 - 72x2 - 48x + 5 \( 2^{24}\cdot 3^{12}\cdot 29^{4} \) $M_{12}$ (as 12T295) trivial
12.4.630...936.2 x12 - 16x10 - 36x9 + 111x8 + 372x7 - 204x6 - 1500x5 - 384x4 + 2200x3 + 1404x2 - 688x + 21 \( 2^{24}\cdot 3^{12}\cdot 29^{4} \) $M_{12}$ (as 12T295) trivial
12.0.944...296.1 x12 - 4x11 + 4x10 + 12x9 - 72x8 + 168x7 - 132x6 - 324x5 + 1197x4 - 1752x3 + 1500x2 - 672x + 207 \( 2^{24}\cdot 3^{14}\cdot 7^{6} \) $M_{12}$ (as 12T295) trivial (GRH)
12.0.849...664.1 x12 + 18x10 - 12x9 + 189x8 - 288x7 + 1458x6 - 2796x5 + 7092x4 - 11988x3 + 17010x2 - 19404x + 10185 \( 2^{24}\cdot 3^{16}\cdot 7^{6} \) $M_{12}$ (as 12T295) $[2]$ (GRH)
12.12.111...856.1 x12 - 968x10 + 346060x8 - 56221440x6 + 4128059232x4 - 247374336x3 - 114286943232x2 + 19295198208x + 632319724608 \( 2^{24}\cdot 3^{8}\cdot 11^{20}\cdot 197^{4} \) $M_{12}$ (as 12T295) trivial (GRH)
12.12.100...704.1 x12 - 4x11 - 3036x10 + 16940x9 + 3435883x8 - 21476268x7 - 1841908992x6 + 11122519452x5 + 490521018900x4 - 2361270759804x3 - 62489273434236x2 + 167503033069380x + 3005497215363897 \( 2^{24}\cdot 3^{10}\cdot 11^{20}\cdot 197^{4} \) $M_{12}$ (as 12T295) trivial (GRH)
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