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| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 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 |
| 6.0.18515.1 | x6 + 2x4 - x3 + 2x2 + 1 | \( -\,5\cdot 7\cdot 23^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.22747.1 | x6 - x5 - 2x3 + x2 + x + 1 | \( -\,23^{2}\cdot 43 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.27556.1 | 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 |
| 6.2.28037.1 | x6 - 2x5 + 3x3 - 2x - 1 | \( 23^{2}\cdot 53 \) | $S_4\times C_2$ (as 6T11) | 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 |
| 6.0.31211.1 | x6 - x4 - x3 + 2x2 + 3x + 1 | \( -\,23^{2}\cdot 59 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.32269.1 | x6 - 3x5 + 4x4 - 3x3 + x2 - 1 | \( 23^{2}\cdot 61 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.33856.1 | x6 - x4 + 1 | \( -\,2^{6}\cdot 23^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.35557.1 | x6 - 2x4 - x3 + 2x2 - 1 | \( 31^{2}\cdot 37 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.37479.1 | x6 - x5 + 3x4 - 3x3 + 3x2 - x + 1 | \( -\,3\cdot 13\cdot 31^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.40733.1 | x6 - 2x5 + 3x4 - 2x3 - 3x2 + 3x - 1 | \( 7\cdot 11\cdot 23^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.41791.1 | x6 - 3x5 + 3x4 - x3 - x2 + x + 1 | \( -\,23^{2}\cdot 79 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.44965.1 | x6 - 2x4 - 3x - 1 | \( 5\cdot 17\cdot 23^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.45167.1 | x6 - x5 + x4 - x3 + 3x2 - 3x + 1 | \( -\,31^{2}\cdot 47 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.47081.1 | x6 - x5 - 3x4 + 3x3 + 3x2 - x - 1 | \( 23^{2}\cdot 89 \) | $S_4\times C_2$ (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 |
| 6.2.50933.1 | x6 - 2x5 - x4 + 4x3 - 3x2 + 3x - 1 | \( 31^{2}\cdot 53 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.53429.1 | x6 - 3x5 + 2x4 + x3 + x2 - 2x - 1 | \( 23^{2}\cdot 101 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.54208.1 | x6 - 2x5 + 3x4 - 2x3 + 3x2 - 2x + 1 | \( -\,2^{6}\cdot 7\cdot 11^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.55696.1 | x6 + 2x2 + 1 | \( -\,2^{4}\cdot 59^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.56144.1 | x6 - x5 - 2x4 + 3x3 - 3x + 1 | \( 2^{4}\cdot 11^{2}\cdot 29 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.56603.1 | x6 - 2x5 + 3x4 + x2 + 3x + 1 | \( -\,23^{2}\cdot 107 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.57661.1 | x6 - x5 + 4x3 - 3x2 + x - 1 | \( 23^{2}\cdot 109 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.59177.1 | x6 - x4 - x3 + x2 - 1 | \( 17\cdot 59^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.60835.1 | x6 - x5 + 4x4 + 3x2 + 3x + 1 | \( -\,5\cdot 23^{3} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.61504.1 | x6 + x2 + 1 | \( -\,2^{6}\cdot 31^{2} \) | $S_4\times C_2$ (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 |
| 6.0.64387.1 | x6 - 2x5 - 2x3 + 4x2 + x + 1 | \( -\,31^{2}\cdot 67 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.64387.2 | x6 - 3x5 + 4x4 - 3x3 + x2 + 1 | \( -\,31^{2}\cdot 67 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.64387.3 | x6 - 2x5 + 4x4 - 6x3 + 6x2 - 5x + 3 | \( -\,31^{2}\cdot 67 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.66309.1 | x6 + x4 - x3 - 2x2 + 3x - 1 | \( 3\cdot 23\cdot 31^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.69312.1 | x6 + x4 - 2x3 + x2 + 1 | \( -\,2^{6}\cdot 3\cdot 19^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.70153.1 | x6 - 3x5 + 5x4 - 5x3 + 3x2 - x - 1 | \( 31^{2}\cdot 73 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.72473.1 | x6 - 2x5 - 2x3 + 5x2 - 2x - 1 | \( 23^{2}\cdot 137 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.75088.1 | x6 - x5 + x3 - x - 1 | \( 2^{4}\cdot 13\cdot 19^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.78821.1 | x6 - x5 + 2x4 - 4x2 - 2x - 1 | \( 23^{2}\cdot 149 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.79763.1 | x6 - x5 - 2x4 + 4x3 - 4x + 3 | \( -\,31^{2}\cdot 83 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.80143.1 | x6 - 2x5 + x4 + x3 + x2 - 2x + 1 | \( -\,7\cdot 107^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.83053.1 | x6 - 2x5 - x4 + x3 + 4x2 + x - 5 | \( 23^{2}\cdot 157 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.83248.1 | x6 - x5 + x3 + 2x2 - 3x + 1 | \( -\,2^{4}\cdot 11^{2}\cdot 43 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.83607.1 | x6 - 2x5 + 2x4 - 4x3 + 3x2 + 2x + 1 | \( -\,3\cdot 29\cdot 31^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.85169.1 | x6 - 3x4 - 2x3 + 6x2 - 2x - 1 | \( 7\cdot 23^{3} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.88343.1 | x6 - 2x5 + 4x3 - 3x2 - 4x + 5 | \( -\,23^{2}\cdot 167 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.89373.1 | x6 - x5 - 4x4 + 4x3 + 3x2 - 5x + 1 | \( 3\cdot 31^{3} \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.0.90992.1 | x6 - x5 + x4 + x3 + 2 | \( -\,2^{4}\cdot 11^{2}\cdot 47 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.91517.1 | x6 - 2x5 - x4 + 4x3 - x2 - 5x - 1 | \( 23^{2}\cdot 173 \) | $S_4\times C_2$ (as 6T11) | Trivial |
| 6.2.91592.1 | x6 - x5 - x - 1 | \( 2^{3}\cdot 107^{2} \) | $S_4\times C_2$ (as 6T11) | Trivial |
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