6.0.9747.1 |
x6 - x5 + x4 - 2x3 + 4x2 - 3x + 1 |
\( -\,3^{3}\cdot 19^{2} \) |
$S_3\times C_3$ (as 6T5) |
trivial
|
6.0.10051.1 |
x6 - x5 + 2x4 - 2x3 + 2x2 - 2x + 1 |
\( -\,19\cdot 23^{2} \) |
$S_4\times C_2$ (as 6T11) |
trivial
|
6.0.10571.1 |
x6 - x5 - x4 + 2x3 - x + 1 |
\( -\,11\cdot 31^{2} \) |
$S_4\times C_2$ (as 6T11) |
trivial
|
6.0.10816.1 |
x6 - x4 - 2x3 + 2x + 1 |
\( -\,2^{6}\cdot 13^{2} \) |
$S_3\times C_3$ (as 6T5) |
trivial
|
6.0.11691.1 |
x6 - x5 - x2 + x + 1 |
\( -\,3^{3}\cdot 433 \) |
$C_3^2:D_4$ (as 6T13) |
trivial
|
6.0.12167.1 |
x6 - 3x5 + 5x4 - 5x3 + 5x2 - 3x + 1 |
\( -\,23^{3} \) |
$S_3$ (as 6T2) |
trivial
|
6.0.14283.1 |
x6 - x5 + x4 - 2x3 + x2 + 1 |
\( -\,3^{3}\cdot 23^{2} \) |
$D_{6}$ (as 6T3) |
trivial
|
6.0.14731.1 |
x6 - x5 + x3 - x2 + 1 |
\( -\,14731 \) |
$S_6$ (as 6T16) |
trivial
|
6.0.16551.1 |
x6 - x5 - x4 + 3x3 - 2x + 1 |
\( -\,3^{3}\cdot 613 \) |
$C_3^2:D_4$ (as 6T13) |
trivial
|
6.0.16807.1 |
x6 - x5 + x4 - x3 + x2 - x + 1 |
\( -\,7^{5} \) |
$C_6$ (as 6T1) |
trivial
|
6.0.18515.1 |
x6 + 2x4 - x3 + 2x2 + 1 |
\( -\,5\cdot 7\cdot 23^{2} \) |
$S_4\times C_2$ (as 6T11) |
trivial
|
6.0.19683.1 |
x6 - x3 + 1 |
\( -\,3^{9} \) |
$C_6$ (as 6T1) |
trivial
|
6.0.20627.1 |
x6 - x5 + x4 - 2x3 + 2x2 - x + 1 |
\( -\,20627 \) |
$S_6$ (as 6T16) |
trivial
|
6.0.21168.1 |
x6 - 3x5 + 4x4 - x3 - 2x2 + x + 1 |
\( -\,2^{4}\cdot 3^{3}\cdot 7^{2} \) |
$S_3\times C_3$ (as 6T5) |
trivial
|
6.0.21296.1 |
x6 - x5 + 2x4 - 3x3 + 2x2 - x + 1 |
\( -\,2^{4}\cdot 11^{3} \) |
$S_3$ (as 6T2) |
trivial
|
6.0.22291.1 |
x6 + x4 - x3 - x + 1 |
\( -\,22291 \) |
$S_6$ (as 6T16) |
trivial
|
6.0.22592.1 |
x6 - 2x5 + 2x4 - x2 + 1 |
\( -\,2^{6}\cdot 353 \) |
$C_3^2:D_4$ (as 6T13) |
trivial
|
6.0.22707.1 |
x6 - x5 + 4x4 - 4x3 + 5x2 - 3x + 1 |
\( -\,3^{3}\cdot 29^{2} \) |
$D_{6}$ (as 6T3) |
trivial
|
6.0.22747.1 |
x6 - x5 - 2x3 + x2 + x + 1 |
\( -\,23^{2}\cdot 43 \) |
$S_4\times C_2$ (as 6T11) |
trivial
|
6.0.23031.1 |
x6 + x4 - x3 + x2 - 2x + 1 |
\( -\,3^{3}\cdot 853 \) |
$C_3^2:D_4$ (as 6T13) |
trivial
|
6.0.24003.1 |
x6 - x5 + 3x3 - x2 - 2x + 1 |
\( -\,3^{3}\cdot 7\cdot 127 \) |
$C_3^2:D_4$ (as 6T13) |
trivial
|
6.0.25747.1 |
x6 - x5 + 2x4 - 2x3 + 3x2 - x + 1 |
\( -\,25747 \) |
$S_6$ (as 6T16) |
trivial
|
6.0.25947.1 |
x6 - x4 - 2x3 + x2 + x + 1 |
\( -\,3^{3}\cdot 31^{2} \) |
$D_{6}$ (as 6T3) |
trivial
|
6.0.27556.1 |
x6 - x5 + 2x3 - x + 1 |
\( -\,2^{2}\cdot 83^{2} \) |
$S_4\times C_2$ (as 6T11) |
trivial
|
6.0.27848.1 |
x6 - x5 + 2x4 + 2x2 - x + 1 |
\( -\,2^{3}\cdot 59^{2} \) |
$S_4\times C_2$ (as 6T11) |
trivial
|
6.0.27971.1 |
x6 - x5 + x4 - 2x3 + 3x2 - 2x + 1 |
\( -\,83\cdot 337 \) |
$S_6$ (as 6T16) |
trivial
|
6.2.28037.1 |
x6 - 2x5 + 3x3 - 2x - 1 |
\( 23^{2}\cdot 53 \) |
$S_4\times C_2$ (as 6T11) |
trivial
|
6.2.29077.1 |
x6 - x5 + x4 - x2 + 2x - 1 |
\( 29077 \) |
$S_6$ (as 6T16) |
trivial
|
6.0.29095.1 |
x6 - x5 + 3x4 - x3 + 3x2 - x + 1 |
\( -\,5\cdot 11\cdot 23^{2} \) |
$S_4\times C_2$ (as 6T11) |
trivial
|
6.2.29189.1 |
x6 - 2x5 + x4 + x3 - 2x2 + x + 1 |
\( 17^{2}\cdot 101 \) |
$S_6$ (as 6T16) |
trivial
|
6.0.29791.1 |
x6 - 3x5 + 7x4 - 9x3 + 7x2 - 3x + 1 |
\( -\,31^{3} \) |
$S_3$ (as 6T2) |
trivial
|
6.2.30125.1 |
x6 - x5 + x4 - 2x2 + x - 1 |
\( 5^{3}\cdot 241 \) |
$C_3^2:D_4$ (as 6T13) |
trivial
|
6.0.30808.1 |
x6 - x4 - x3 + x2 + x + 1 |
\( -\,2^{3}\cdot 3851 \) |
$S_6$ (as 6T16) |
trivial
|
6.0.30976.1 |
x6 - 2x5 + 2x4 - 2x3 + 4x2 - 4x + 2 |
\( -\,2^{8}\cdot 11^{2} \) |
$D_{6}$ (as 6T3) |
trivial
|
6.2.31133.1 |
x6 - 2x4 - x3 + 2x + 1 |
\( 163\cdot 191 \) |
$S_6$ (as 6T16) |
trivial
|
6.0.31211.1 |
x6 - x4 - x3 + 2x2 + 3x + 1 |
\( -\,23^{2}\cdot 59 \) |
$S_4\times C_2$ (as 6T11) |
trivial
|
6.2.31213.1 |
x6 - 2x5 + 2x4 - 3x3 + 2x2 - 2x + 1 |
\( 7^{4}\cdot 13 \) |
$A_4\times C_2$ (as 6T6) |
trivial
|
6.0.31223.1 |
x6 - x5 + x4 - x3 + 2x2 - x + 1 |
\( -\,31223 \) |
$S_6$ (as 6T16) |
trivial
|
6.0.31347.1 |
x6 - 3x4 - 2x3 + 3x2 + 3x + 1 |
\( -\,3^{6}\cdot 43 \) |
$C_3^2:D_4$ (as 6T13) |
trivial
|
6.2.31709.1 |
x6 - x5 + 2x3 - 2x2 + 1 |
\( 37\cdot 857 \) |
$S_6$ (as 6T16) |
trivial
|
6.0.32171.1 |
x6 - x5 + 2x4 - x3 + x2 + 1 |
\( -\,53\cdot 607 \) |
$S_6$ (as 6T16) |
trivial
|
6.2.32269.1 |
x6 - 3x5 + 4x4 - 3x3 + x2 - 1 |
\( 23^{2}\cdot 61 \) |
$S_4\times C_2$ (as 6T11) |
trivial
|
6.0.32911.1 |
x6 - x3 - x2 + x + 1 |
\( -\,32911 \) |
$S_6$ (as 6T16) |
trivial
|
6.0.33791.1 |
x6 - x5 + x4 + x3 + x + 1 |
\( -\,33791 \) |
$S_6$ (as 6T16) |
trivial
|
6.0.33856.1 |
x6 - x4 + 1 |
\( -\,2^{6}\cdot 23^{2} \) |
$S_4\times C_2$ (as 6T11) |
trivial
|
6.0.33856.2 |
x6 + x4 + 2x2 + 1 |
\( -\,2^{6}\cdot 23^{2} \) |
$D_{6}$ (as 6T3) |
trivial
|
6.2.33856.1 |
x6 + x4 - 1 |
\( 2^{6}\cdot 23^{2} \) |
$S_4$ (as 6T7) |
trivial
|
6.0.34371.1 |
x6 - x5 - 2x3 + 2x + 1 |
\( -\,3^{3}\cdot 19\cdot 67 \) |
$C_3^2:D_4$ (as 6T13) |
trivial
|
6.0.34992.1 |
x6 - 3x5 + 5x3 - 3x + 1 |
\( -\,2^{4}\cdot 3^{7} \) |
$S_3$ (as 6T2) |
trivial
|
6.0.35099.1 |
x6 + x4 + x2 - x + 1 |
\( -\,35099 \) |
$S_6$ (as 6T16) |
trivial
|