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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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