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Results (8 matches)

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Label Polynomial Discriminant Galois group Class group
12.2.102...000.11 x12 - 2x10 - 8x2 - 4 \( -\,2^{24}\cdot 5^{14} \) 12T270 trivial
12.2.256...000.2 x12 + 10x10 + 25x8 - 125x4 - 1000x2 - 625 \( -\,2^{24}\cdot 5^{16} \) 12T270 $[2]$
12.2.640...000.27 x12 - 2x10 - 15x8 + 40x6 - 85x4 + 108x2 - 81 \( -\,2^{24}\cdot 5^{18} \) 12T270 trivial (GRH)
12.2.160...000.1 x12 - 10x10 + 25x8 + 100x6 - 1225x4 - 6640x2 - 7225 \( -\,2^{24}\cdot 5^{20} \) 12T270 $[2]$ (GRH)
12.2.705...416.48 x12 + 8x10 + 17x8 + 56x6 + 27x4 + 26x2 - 49 \( -\,2^{24}\cdot 29^{10} \) 12T270 $[2]$ (GRH)
12.2.705...416.50 x12 - 10x10 + 32x8 + 32x6 - 272x4 - 128x2 - 16 \( -\,2^{24}\cdot 29^{10} \) 12T270 $[2]$ (GRH)
20.14.956...016.1 x20 - 17x18 + 63x16 + 31x14 - 545x12 + 878x10 - 104x8 - 712x6 + 464x4 - 48x2 - 16 \( -\,2^{24}\cdot 11^{8}\cdot 113^{8} \) 20T968 trivial (GRH)
22.0.233...016.1 x22 + 58x20 + 1489x18 + 22320x16 + 216663x14 + 1424964x12 + 6438231x10 + 19757580x8 + 39484992x6 + 46601624x4 + 25144376x2 + 898976 \( -\,2^{45}\cdot 3^{28}\cdot 7^{4}\cdot 13\cdot 23^{4}\cdot 137^{16}\cdot 2161 \) 22T52 n/a
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