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Results: (displaying matches 1-20 of 287631)

Label Polynomial Discriminant Galois group Class group
6.0.9747.1 x6 - x5 + x4 - 2x3 + 4x2 - 3x + 1 \( -\,3^{3}\cdot 19^{2} \) $S_3\times C_3$ Trivial
6.0.10051.1 x6 - x5 + 2x4 - 2x3 + 2x2 - 2x + 1 \( -\,19\cdot 23^{2} \) $S_4\times C_2$ Trivial
6.0.10571.1 x6 - x5 - x4 + 2x3 - x + 1 \( -\,11\cdot 31^{2} \) $S_4\times C_2$ Trivial
6.0.10816.1 x6 - x4 - 2x3 + 2x + 1 \( -\,2^{6}\cdot 13^{2} \) $S_3\times C_3$ Trivial
6.0.11691.1 x6 - x5 - x2 + x + 1 \( -\,3^{3}\cdot 433 \) $C_3^2:D_4$ Trivial
6.0.12167.1 x6 - 3x5 + 5x4 - 5x3 + 5x2 - 3x + 1 \( -\,23^{3} \) $S_3$ Trivial
6.0.14283.1 x6 - x5 + x4 - 2x3 + x2 + 1 \( -\,3^{3}\cdot 23^{2} \) $S_3\times C_2$ Trivial
6.0.14731.1 x6 - x5 + x3 - x2 + 1 \( -\,14731 \) $S_6$ Trivial
6.0.16551.1 x6 - x5 - x4 + 3x3 - 2x + 1 \( -\,3^{3}\cdot 613 \) $C_3^2:D_4$ Trivial
6.0.16807.1 x6 - x5 + x4 - x3 + x2 - x + 1 \( -\,7^{5} \) $C_6$ Trivial
6.0.18515.1 x6 + 2x4 - x3 + 2x2 + 1 \( -\,5\cdot 7\cdot 23^{2} \) $S_4\times C_2$ Trivial
6.0.19683.1 x6 - x3 + 1 \( -\,3^{9} \) $C_6$ Trivial
6.0.20627.1 x6 - x5 + x4 - 2x3 + 2x2 - x + 1 \( -\,20627 \) $S_6$ Trivial
6.0.21168.1 x6 - 3x5 + 4x4 - x3 - 2x2 + x + 1 \( -\,2^{4}\cdot 3^{3}\cdot 7^{2} \) $S_3\times C_3$ Trivial
6.0.21296.1 x6 - x5 + 2x4 - 3x3 + 2x2 - x + 1 \( -\,2^{4}\cdot 11^{3} \) $S_3$ Trivial
6.0.22291.1 x6 + x4 - x3 - x + 1 \( -\,22291 \) $S_6$ Trivial
6.0.22592.1 x6 - 2x5 + 2x4 - x2 + 1 \( -\,2^{6}\cdot 353 \) $C_3^2:D_4$ Trivial
6.0.22707.1 x6 - x5 + 4x4 - 4x3 + 5x2 - 3x + 1 \( -\,3^{3}\cdot 29^{2} \) $S_3\times C_2$ Trivial
6.0.22747.1 x6 - x5 - 2x3 + x2 + x + 1 \( -\,23^{2}\cdot 43 \) $S_4\times C_2$ Trivial
6.0.23031.1 x6 + x4 - x3 + x2 - 2x + 1 \( -\,3^{3}\cdot 853 \) $C_3^2:D_4$ Trivial

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