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Label Polynomial Discriminant Galois group Class group
6.0.14283.1 x6 - x5 + x4 - 2x3 + x2 + 1 \( -\,3^{3}\cdot 23^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.22707.1 x6 - x5 + 4x4 - 4x3 + 5x2 - 3x + 1 \( -\,3^{3}\cdot 29^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.25947.1 x6 - x4 - 2x3 + x2 + x + 1 \( -\,3^{3}\cdot 31^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.30976.1 x6 - 2x5 + 2x4 - 2x3 + 4x2 - 4x + 2 \( -\,2^{8}\cdot 11^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.33856.2 x6 + x4 + 2x2 + 1 \( -\,2^{6}\cdot 23^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.52272.1 x6 - x5 - 3x3 + 2x2 + x + 1 \( -\,2^{4}\cdot 3^{3}\cdot 11^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.53824.1 x6 - 2x3 + x2 + 2x + 2 \( -\,2^{6}\cdot 29^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.54675.1 x6 - 3x5 + 3x4 - 3x2 + 3 \( -\,3^{7}\cdot 5^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.61504.2 x6 - 2x4 + x2 + 1 \( -\,2^{6}\cdot 31^{2} \) $D_{6}$ (as 6T3) Trivial
6.2.66125.1 x6 - x5 - x4 + 4x3 + 3x2 - 1 \( 5^{3}\cdot 23^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.86528.1 x6 + 2x4 - 2x3 + 2x2 + 1 \( -\,2^{9}\cdot 13^{2} \) $D_{6}$ (as 6T3) Trivial
6.2.91125.1 x6 - x3 - 1 \( 3^{6}\cdot 5^{3} \) $D_{6}$ (as 6T3) Trivial
6.0.92416.1 x6 - 2x5 + 2x4 - 2x3 + 2 \( -\,2^{8}\cdot 19^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.93987.1 x6 - 2x4 - 2x3 + 4x2 + 2x + 1 \( -\,3^{3}\cdot 59^{2} \) $D_{6}$ (as 6T3) Trivial
6.2.98000.1 x6 - x5 - 2x4 + 5x3 - 2x2 - x + 1 \( 2^{4}\cdot 5^{3}\cdot 7^{2} \) $D_{6}$ (as 6T3) Trivial
6.2.120125.1 x6 + 3x4 - 4x3 + x2 - x - 1 \( 5^{3}\cdot 31^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.124848.1 x6 - x5 - 4x4 + x3 + 4x2 + 3x + 3 \( -\,2^{4}\cdot 3^{3}\cdot 17^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.137200.1 x6 - x5 - x4 - x3 + 2x + 2 \( -\,2^{4}\cdot 5^{2}\cdot 7^{3} \) $D_{6}$ (as 6T3) Trivial
6.0.139968.1 x6 - 3x5 + 3x3 + 6x2 - 9x + 3 \( -\,2^{6}\cdot 3^{7} \) $D_{6}$ (as 6T3) Trivial
6.2.140608.1 x6 - x5 + 2x4 + x3 - 2x2 - x - 1 \( 2^{6}\cdot 13^{3} \) $D_{6}$ (as 6T3) Trivial
6.2.153125.1 x6 - x5 + 4x + 1 \( 5^{5}\cdot 7^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.155952.1 x6 + 2x4 - 4x3 + 4x2 - 4x + 4 \( -\,2^{4}\cdot 3^{3}\cdot 19^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.160083.1 x6 - x4 + x2 - 3x + 3 \( -\,3^{3}\cdot 7^{2}\cdot 11^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.173056.2 x6 + 2x4 + x2 + 4 \( -\,2^{10}\cdot 13^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.179776.1 x6 - 2x5 - 2x4 + 6x3 - 2x2 - 4x + 5 \( -\,2^{6}\cdot 53^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.181447.1 x6 - x5 + 2x4 - 5x3 + 6x2 + 8 \( -\,7^{3}\cdot 23^{2} \) $D_{6}$ (as 6T3) Trivial
6.2.184832.1 x6 + 2x4 - 2x3 - 2x2 - 1 \( 2^{9}\cdot 19^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.186003.1 x6 - x5 + 3x3 - x2 - 2x + 4 \( -\,3^{3}\cdot 83^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.186624.1 x6 - 2x3 + 2 \( -\,2^{8}\cdot 3^{6} \) $D_{6}$ (as 6T3) Trivial
6.0.195075.1 x6 - 2x4 + x2 + 3 \( -\,3^{3}\cdot 5^{2}\cdot 17^{2} \) $D_{6}$ (as 6T3) Trivial
6.2.200000.1 x6 - 2x5 - 2x - 1 \( 2^{6}\cdot 5^{5} \) $D_{6}$ (as 6T3) Trivial
6.2.219501.1 x6 - x5 - 3x4 + 3x2 + 4x + 1 \( 3^{2}\cdot 29^{3} \) $D_{6}$ (as 6T3) Trivial
6.0.222784.1 x6 - 4x4 + 4x2 + 1 \( -\,2^{6}\cdot 59^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.238144.1 x6 - 2x5 - x4 + 4x3 + 3x2 - 6x + 2 \( -\,2^{6}\cdot 61^{2} \) $D_{6}$ (as 6T3) Trivial
6.2.242000.1 x6 - x5 + 2x4 + 5x3 + 4x2 + x - 1 \( 2^{4}\cdot 5^{3}\cdot 11^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.247808.1 x6 - 2x4 + 2 \( -\,2^{11}\cdot 11^{2} \) $D_{6}$ (as 6T3) Trivial
6.2.247808.1 x6 + 2x4 - 2 \( 2^{11}\cdot 11^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.270848.2 x6 + 2x4 + 8x2 + 8 \( -\,2^{9}\cdot 23^{2} \) $D_{6}$ (as 6T3) Trivial
6.2.270848.1 x6 - 2x4 + 8x2 - 8 \( 2^{9}\cdot 23^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.292032.1 x6 + x4 - 4x3 + x2 - 2x + 4 \( -\,2^{6}\cdot 3^{3}\cdot 13^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.309123.1 x6 - 3x5 + 10x4 - 15x3 + 19x2 - 12x + 3 \( -\,3^{3}\cdot 107^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.309123.3 x6 - x5 - 2x4 + x3 + 7x2 - 6x + 4 \( -\,3^{3}\cdot 107^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.313600.1 x6 - 2x5 + 2x4 + 2x3 + 2 \( -\,2^{8}\cdot 5^{2}\cdot 7^{2} \) $D_{6}$ (as 6T3) Trivial
6.0.314928.2 x6 - 3x4 - 2x3 + 9x2 + 12x + 4 \( -\,2^{4}\cdot 3^{9} \) $D_{6}$ (as 6T3) Trivial
6.0.320787.2 x6 - 3x5 - 2x4 + 9x3 + x2 - 6x + 3 \( -\,3^{3}\cdot 109^{2} \) $D_{6}$ (as 6T3) Trivial
6.2.325125.1 x6 - 3x5 + 8x4 - 11x3 + 13x2 - 8x + 1 \( 3^{2}\cdot 5^{3}\cdot 17^{2} \) $D_{6}$ (as 6T3) Trivial
6.2.328509.1 x6 - 2x5 + 3x4 - 9x3 + 8x2 - 7x - 5 \( 3^{3}\cdot 23^{3} \) $D_{6}$ (as 6T3) Trivial
6.0.329623.1 x6 - 3x4 - 5x3 + 4x2 + 4x + 8 \( -\,7^{3}\cdot 31^{2} \) $D_{6}$ (as 6T3) Trivial
6.2.340736.1 x6 - 2x5 + 6x3 - 2x2 - 8x - 2 \( 2^{8}\cdot 11^{3} \) $D_{6}$ (as 6T3) Trivial
6.0.344763.1 x6 - 4x4 + 4x2 + 3 \( -\,3^{3}\cdot 113^{2} \) $D_{6}$ (as 6T3) Trivial

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