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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
16.0.277129020662429515776.1 x16 - 4x14 - 22x12 - 4x10 + 667x8 - 1484x6 + 3038x4 - 2744x2 + 2401 \( 2^{44}\cdot 3^{8}\cdot 7^{4} \) $(C_2 \times Q_8):C_2$ (as 16T20) Trivial
16.0.1154223326374133760000.1 x16 - 16x14 + 80x12 - 8x10 - 929x8 - 120x6 + 18000x4 - 54000x2 + 50625 \( 2^{48}\cdot 3^{8}\cdot 5^{4} \) $(C_2 \times Q_8):C_2$ (as 16T20) $[2]$
16.8.665386778610493267378176.1 x16 - 4x14 - 94x12 + 164x10 + 451x8 - 452x6 - 346x4 - 32x2 + 1 \( 2^{44}\cdot 3^{8}\cdot 7^{8} \) $(C_2 \times Q_8):C_2$ (as 16T20) Trivial (GRH)
16.8.721389578983833600000000.1 x16 - 16x14 + 8x12 + 824x10 - 2897x8 - 824x6 + 8x4 + 16x2 + 1 \( 2^{48}\cdot 3^{8}\cdot 5^{8} \) $(C_2 \times Q_8):C_2$ (as 16T20) Trivial (GRH)
16.0.4074443918442233856000000000000.1 x16 - 8x15 + 168x14 - 856x13 + 9606x12 - 34032x11 + 243628x10 - 535048x9 + 2701602x8 - 1786640x7 + 9946672x6 + 21942216x5 + 5432442x4 + 95409688x3 + 73950516x2 + 33597560x + 246399481 \( 2^{40}\cdot 3^{12}\cdot 5^{12}\cdot 13^{4} \) $(C_2 \times Q_8):C_2$ (as 16T20) $[2, 2, 2, 2, 2, 30, 30]$ (GRH)
16.0.5054886175427630513006837760000.1 x16 - 4x15 + 76x14 - 112x13 + 1624x12 - 364x11 + 19600x10 + 920x9 + 136663x8 + 183684x7 + 338520x6 + 1297464x5 + 2514456x4 + 868392x3 + 12532680x2 - 3082824x + 13379913 \( 2^{40}\cdot 3^{12}\cdot 5^{4}\cdot 7^{12} \) $(C_2 \times Q_8):C_2$ (as 16T20) $[2, 2, 2, 2, 22, 44]$ (GRH)
16.16.5054886175427630513006837760000.1 x16 - 4x15 - 92x14 + 224x13 + 3304x12 - 3220x11 - 56336x10 - 9328x9 + 446455x8 + 453156x7 - 1289736x6 - 2383248x5 - 380520x4 + 1605240x3 + 1229976x2 + 305568x + 16857 \( 2^{40}\cdot 3^{12}\cdot 5^{4}\cdot 7^{12} \) $(C_2 \times Q_8):C_2$ (as 16T20) $[2]$ (GRH)
16.16.12341030701727613557145600000000.1 x16 - 84x14 + 2583x12 - 37044x10 + 268128x8 - 981666x6 + 1694763x4 - 1166886x2 + 194481 \( 2^{32}\cdot 3^{12}\cdot 5^{8}\cdot 7^{12} \) $(C_2 \times Q_8):C_2$ (as 16T20) $[2]$ (GRH)


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