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Label Polynomial Discriminant Galois group Class group
6.4.92779.1 x6 - x5 - 2x4 + 3x3 - x2 - 2x + 1 \( -\,92779 \) $S_6$ (as 6T16) trivial
6.4.94363.1 x6 - 2x4 - 2x3 + 3x + 1 \( -\,197\cdot 479 \) $S_6$ (as 6T16) trivial
6.4.103243.1 x6 - x5 - x4 - 2x3 + 2x2 + 3x - 1 \( -\,7^{4}\cdot 43 \) $A_4\times C_2$ (as 6T6) trivial
6.4.104483.1 x6 - x5 - x4 + 2x3 - 2x2 - x + 1 \( -\,163\cdot 641 \) $S_6$ (as 6T16) trivial
6.4.104875.1 x6 - 2x5 - x4 + x3 + 2x2 + x - 1 \( -\,5^{3}\cdot 839 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.118987.1 x6 - x5 + 4x3 - 2x2 - 2x + 1 \( -\,11\cdot 29\cdot 373 \) $S_6$ (as 6T16) trivial
6.4.124659.1 x6 - 3x4 - 2x3 + 3x2 + 3x - 1 \( -\,3^{8}\cdot 19 \) $A_4\times C_2$ (as 6T6) trivial
6.4.133787.1 x6 - 3x5 + 2x4 - x2 + 3x - 1 \( -\,353\cdot 379 \) $S_6$ (as 6T16) trivial
6.4.144875.1 x6 - 2x5 - x4 + 5x3 - 2x2 - 3x + 1 \( -\,5^{3}\cdot 19\cdot 61 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.149875.1 x6 - 3x4 - 2x3 + x2 + 3x + 1 \( -\,5^{3}\cdot 11\cdot 109 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.153664.1 x6 - x4 - 2x2 + 1 \( -\,2^{6}\cdot 7^{4} \) $A_4\times C_2$ (as 6T6) trivial
6.4.158875.1 x6 - 2x3 - 5x2 + 1 \( -\,5^{3}\cdot 31\cdot 41 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.161939.1 x6 - 2x5 + x4 - 2x3 - x2 + 3x - 1 \( -\,67\cdot 2417 \) $S_6$ (as 6T16) trivial
6.4.170471.1 x6 - 3x5 + x4 + 3x3 - 3x2 + x + 1 \( -\,7^{4}\cdot 71 \) $A_4\times C_2$ (as 6T6) trivial
6.4.174875.1 x6 - x5 - 2x4 + 4x3 + x2 - 3x - 1 \( -\,5^{3}\cdot 1399 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.187904.1 x6 - 4x4 - 2x3 + 3x2 + 2x - 1 \( -\,2^{9}\cdot 367 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.188875.1 x6 - x5 - 4x3 + 2x2 + 2x - 1 \( -\,5^{3}\cdot 1511 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.195379.1 x6 + x4 - 2x3 - 3x2 + x + 1 \( -\,47\cdot 4157 \) $S_6$ (as 6T16) trivial
6.4.199283.1 x6 - 2x5 + x4 - 4x3 + 3x2 + 3x - 1 \( -\,7^{4}\cdot 83 \) $A_4\times C_2$ (as 6T6) trivial
6.4.202375.1 x6 - 2x5 - 2x4 + 5x3 - x2 - 3x + 1 \( -\,5^{3}\cdot 1619 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.209107.1 x6 - x5 - 2x4 + 2x3 - 2x2 + 2x + 1 \( -\,67\cdot 3121 \) $S_6$ (as 6T16) trivial
6.4.214747.1 x6 - x5 - 3x4 + 4x3 - 3x + 1 \( -\,13\cdot 16519 \) $S_6$ (as 6T16) trivial
6.4.214875.1 x6 - x5 - 3x4 + 4x3 - 3x2 + 2x + 1 \( -\,3^{2}\cdot 5^{3}\cdot 191 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.215811.1 x6 - x5 - 2x4 - 2x3 + x2 + 3x + 1 \( -\,3^{3}\cdot 7993 \) $S_6$ (as 6T16) trivial
6.4.216587.1 x6 - x5 - x4 - 2x3 - 2x2 + 3x + 1 \( -\,7\cdot 30941 \) $S_6$ (as 6T16) trivial
6.4.217024.1 x6 - 2x3 - 3x2 + 4x - 1 \( -\,2^{6}\cdot 3391 \) $S_6$ (as 6T16) trivial
6.4.218491.1 x6 - 3x5 + 2x4 + x3 - 3x2 + 2x + 1 \( -\,7^{5}\cdot 13 \) $A_4\times C_2$ (as 6T6) trivial
6.4.221875.1 x6 - 2x5 + 3x - 1 \( -\,5^{5}\cdot 71 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.225403.1 x6 - x5 - 4x4 + 4x3 + 2x2 - 2x + 1 \( -\,17\cdot 13259 \) $S_6$ (as 6T16) trivial
6.4.228544.1 x6 - 2x5 + 4x3 - 3x2 - 2x + 1 \( -\,2^{6}\cdot 3571 \) $S_6$ (as 6T16) trivial
6.4.233003.1 x6 - 3x4 - 3x3 + 4x2 + x - 1 \( -\,41\cdot 5683 \) $S_6$ (as 6T16) trivial
6.4.237179.1 x6 - x5 - 3x4 + 2x2 + 3x + 1 \( -\,237179 \) $S_6$ (as 6T16) trivial
6.4.238507.1 x6 - x5 - 4x4 + 4x3 + 4x2 - 2x - 1 \( -\,19\cdot 12553 \) $S_6$ (as 6T16) trivial
6.4.242467.1 x6 - x4 - x3 - 2x2 + x + 1 \( -\,242467 \) $S_6$ (as 6T16) trivial
6.4.254875.1 x6 - x5 - 4x4 + 5x3 + 3x2 - 4x - 1 \( -\,5^{3}\cdot 2039 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.255179.1 x6 - 2x5 - x4 + 3x2 + 3x - 1 \( -\,255179 \) $S_6$ (as 6T16) trivial
6.4.255823.1 x6 - x5 - x4 + 3x3 - 2x2 - 2x + 1 \( -\,109\cdot 2347 \) $S_6$ (as 6T16) trivial
6.4.257339.1 x6 - 2x5 - x4 + 4x3 - 3x2 - x + 1 \( -\,257339 \) $S_6$ (as 6T16) trivial
6.4.257344.1 x6 - 2x5 + 2x3 - 3x2 + 1 \( -\,2^{6}\cdot 4021 \) $S_6$ (as 6T16) trivial
6.4.259283.1 x6 - 2x5 - x4 + 3x3 - 2x2 + x + 1 \( -\,251\cdot 1033 \) $S_6$ (as 6T16) trivial
6.4.262375.1 x6 - 2x5 - x4 + 5x3 - 7x2 + 2x + 1 \( -\,5^{3}\cdot 2099 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.264931.1 x6 - x5 - 3x4 + 2x3 + x2 + 2x - 1 \( -\,264931 \) $S_6$ (as 6T16) trivial
6.4.269395.1 x6 - x5 - 2x4 + 2x + 1 \( -\,5\cdot 7\cdot 43\cdot 179 \) $S_6$ (as 6T16) trivial
6.4.288576.1 x6 - 2x5 - x2 + 2x + 1 \( -\,2^{6}\cdot 3^{3}\cdot 167 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.295643.1 x6 - x5 - 4x4 + 4x3 + 2x2 - 4x + 1 \( -\,239\cdot 1237 \) $S_6$ (as 6T16) trivial
6.4.302123.1 x6 - x5 - x4 - 2x3 - x2 + 2x + 1 \( -\,302123 \) $S_6$ (as 6T16) trivial
6.4.302375.1 x6 - x4 - 3x3 - x2 + 4x + 1 \( -\,5^{3}\cdot 41\cdot 59 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.303619.1 x6 - x5 - 2x4 - x3 + 3x2 + 2x - 1 \( -\,303619 \) $S_6$ (as 6T16) trivial
6.4.304859.1 x6 - x4 - 3x3 + 3x - 1 \( -\,83\cdot 3673 \) $S_6$ (as 6T16) trivial
6.4.304927.1 x6 - 2x5 + 2x3 - 7x2 + 6x - 1 \( -\,7^{4}\cdot 127 \) $A_4\times C_2$ (as 6T6) trivial
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