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Label Polynomial Discriminant Galois group Class group
6.2.44965.1 x6 - 2x4 - 3x - 1 \( 5\cdot 17\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.49011.1 x6 - 2x5 + 4x4 - 3x3 + 4x2 - 2x + 1 \( -\,3\cdot 17\cdot 31^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.62951.1 x6 - x5 + 2x4 - x3 + 4x2 + 2x + 1 \( -\,7\cdot 17\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.63461.1 x6 - x3 + 2x - 1 \( 17\cdot 3733 \) $S_6$ (as 6T16) trivial
6.2.85952.1 x6 + x4 - 2x3 - 2x + 1 \( 2^{6}\cdot 17\cdot 79 \) $S_6$ (as 6T16) trivial
6.0.109735.1 x6 - x5 - x4 + x3 + 2x2 - 2x + 1 \( -\,5\cdot 17\cdot 1291 \) $S_6$ (as 6T16) trivial
6.2.124457.1 x6 - x5 + 2x4 - x3 + x2 + x - 1 \( 17\cdot 7321 \) $S_6$ (as 6T16) trivial
6.2.125341.1 x6 - 3x5 + 4x4 - 2x3 - 1 \( 17\cdot 73\cdot 101 \) $S_6$ (as 6T16) trivial
6.2.147033.1 x6 - x5 + 2x4 - 3x3 - 2x2 - 4x - 1 \( 3^{2}\cdot 17\cdot 31^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.162299.1 x6 - 2x5 + x4 + 3x2 - x + 1 \( -\,17\cdot 9547 \) $S_6$ (as 6T16) trivial
6.0.177259.1 x6 - 2x5 + x4 + 2x3 - x2 - x + 2 \( -\,17\cdot 10427 \) $S_6$ (as 6T16) trivial
6.0.198696.1 x6 - x5 - 2x4 + 4x3 + x2 - 4x + 2 \( -\,2^{3}\cdot 3\cdot 17\cdot 487 \) $S_6$ (as 6T16) trivial
6.2.212381.1 x6 - 2x5 - 4x4 + 7x3 + 4x2 - 2x - 1 \( 13\cdot 17\cdot 31^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.215781.1 x6 - x5 - x4 + 2x3 + x - 1 \( 3\cdot 17\cdot 4231 \) $S_6$ (as 6T16) trivial
6.0.216376.1 x6 + x4 - x3 + 3x2 - 3x + 1 \( -\,2^{3}\cdot 17\cdot 37\cdot 43 \) $S_6$ (as 6T16) trivial
6.2.224825.1 x6 - 2x5 - 3x4 + 7x3 + 6x2 - 8x - 8 \( 5^{2}\cdot 17\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.4.225403.1 x6 - x5 - 4x4 + 4x3 + 2x2 - 2x + 1 \( -\,17\cdot 13259 \) $S_6$ (as 6T16) trivial
6.2.247316.1 x6 - x5 - 2x4 + x3 + 2x2 - 2 \( 2^{2}\cdot 17\cdot 3637 \) $S_6$ (as 6T16) trivial
6.2.276352.1 x6 - 2x5 + x4 - 2x3 - x2 + 4x - 2 \( 2^{7}\cdot 17\cdot 127 \) $S_6$ (as 6T16) trivial
6.2.309825.1 x6 - 4x3 - 3x2 - 3x - 1 \( 3^{6}\cdot 5^{2}\cdot 17 \) $S_6$ (as 6T16) trivial
6.0.314891.1 x6 - x5 + 2x4 - 4x3 + 3x2 - x + 1 \( -\,17\cdot 18523 \) $S_6$ (as 6T16) trivial
6.0.343927.1 x6 + 4x4 - x3 + 4x2 - x + 2 \( -\,17\cdot 20231 \) $S_6$ (as 6T16) trivial
6.0.353651.1 x6 - x5 - 2x4 - 2x3 + 4x2 + 4x + 1 \( -\,17\cdot 71\cdot 293 \) $S_6$ (as 6T16) trivial
6.0.362032.1 x6 - x5 + 6x4 - x3 + 6x2 - x + 1 \( -\,2^{4}\cdot 11^{3}\cdot 17 \) $S_4\times C_2$ (as 6T11) trivial
6.0.363800.1 x6 - 2x5 + 3x4 - 3x3 + 5x2 - 3x + 1 \( -\,2^{3}\cdot 5^{2}\cdot 17\cdot 107 \) $S_6$ (as 6T16) trivial
6.2.371501.1 x6 - x5 - 2x4 + 5x3 - 5x2 + 2x - 1 \( 13\cdot 17\cdot 41^{2} \) $S_6$ (as 6T16) trivial
6.2.372368.1 x6 - x5 - x4 + 3x3 + 4x2 - 2x - 2 \( 2^{4}\cdot 17\cdot 37^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.373456.1 x6 - x5 - 2x4 + x3 + 3x - 1 \( 2^{4}\cdot 17\cdot 1373 \) $S_6$ (as 6T16) trivial
6.2.375632.1 x6 - x4 - 6x3 - 5x2 - 4x - 1 \( 2^{4}\cdot 17\cdot 1381 \) $S_6$ (as 6T16) trivial
6.0.375751.1 x6 - x5 + x4 + 5x3 - 3x2 + x + 9 \( -\,17\cdot 23\cdot 31^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.387617.1 x6 - 2x5 + 4x4 - 3x3 + 3x2 - 1 \( 17\cdot 151^{2} \) $S_6$ (as 6T16) trivial
6.2.397137.1 x6 - x5 + x4 - x3 - 3x + 2 \( 3\cdot 13\cdot 17\cdot 599 \) $S_6$ (as 6T16) trivial
6.2.399925.1 x6 - x5 - 4x4 + 2x3 + 3x2 + 3x + 1 \( 5^{2}\cdot 17\cdot 941 \) $S_6$ (as 6T16) trivial
6.2.408136.1 x6 - 2x5 + 3x4 - 4x3 + 9x2 - 8x + 2 \( 2^{3}\cdot 17\cdot 3001 \) $S_6$ (as 6T16) trivial
6.2.415021.1 x6 - 2x5 + 2x4 - 3x3 + 2x2 + 4x + 1 \( 17\cdot 24413 \) $S_6$ (as 6T16) trivial
6.2.427856.1 x6 - x5 - x3 - 2x2 - 7x - 1 \( 2^{4}\cdot 11^{2}\cdot 13\cdot 17 \) $S_4\times C_2$ (as 6T11) trivial
6.2.440657.1 x6 - 3x5 - x4 + 7x3 + 3x2 - 7x - 11 \( 7^{2}\cdot 17\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.444176.1 x6 - 2x5 + 4x3 - x2 - 2x + 4 \( -\,2^{4}\cdot 17\cdot 23\cdot 71 \) $S_6$ (as 6T16) trivial
6.2.448256.1 x6 - 2x5 + 4x4 - 6x3 + 4x2 - 4x + 2 \( 2^{8}\cdot 17\cdot 103 \) $S_6$ (as 6T16) trivial
6.2.454801.1 x6 - x5 + x4 - 2x3 - 2x + 1 \( 17\cdot 31\cdot 863 \) $S_6$ (as 6T16) trivial
6.0.461023.1 x6 + x4 - x3 + x2 + 2x + 1 \( -\,17\cdot 47\cdot 577 \) $S_6$ (as 6T16) trivial
6.0.465851.1 x6 + 2x4 + 2x2 - x + 2 \( -\,17\cdot 67\cdot 409 \) $S_6$ (as 6T16) trivial
6.2.473773.1 x6 - 5x4 - x3 + 8x2 + 7x - 11 \( 17\cdot 29\cdot 31^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.484891.1 x6 - 2x5 + 3x4 - 2x3 + 4x2 - 3x + 1 \( -\,11\cdot 17\cdot 2593 \) $S_6$ (as 6T16) trivial
6.2.487645.1 x6 - x5 - 3x3 - x2 - 2x - 1 \( 5\cdot 17\cdot 5737 \) $S_6$ (as 6T16) trivial
6.2.503744.1 x6 - x5 + x3 + 4x2 - 5x + 1 \( 2^{6}\cdot 17\cdot 463 \) $S_6$ (as 6T16) trivial
6.2.518245.1 x6 - 2x5 + 2x4 + 2x3 - 4x2 + x + 1 \( 5\cdot 7\cdot 13\cdot 17\cdot 67 \) $S_6$ (as 6T16) trivial
6.2.520625.1 x6 - x5 - x4 - x3 + x2 - x - 1 \( 5^{4}\cdot 7^{2}\cdot 17 \) $S_4\times C_2$ (as 6T11) trivial
6.0.522019.1 x6 - x4 - 2x3 + x2 + x + 2 \( -\,17\cdot 30707 \) $S_6$ (as 6T16) trivial
6.0.527544.1 x6 - x5 + x4 + x3 - x2 + 2x + 2 \( -\,2^{3}\cdot 3^{2}\cdot 17\cdot 431 \) $S_6$ (as 6T16) trivial
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