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Results (displaying matches 1-50 of 1161735) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 6.0.14731.1 | x6 - x5 + x3 - x2 + 1 | \( -\,14731 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.20627.1 | x6 - x5 + x4 - 2x3 + 2x2 - x + 1 | \( -\,20627 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.22291.1 | x6 + x4 - x3 - x + 1 | \( -\,22291 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.25747.1 | x6 - x5 + 2x4 - 2x3 + 3x2 - x + 1 | \( -\,25747 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.27971.1 | x6 - x5 + x4 - 2x3 + 3x2 - 2x + 1 | \( -\,83\cdot 337 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.29077.1 | x6 - x5 + x4 - x2 + 2x - 1 | \( 29077 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.29189.1 | x6 - 2x5 + x4 + x3 - 2x2 + x + 1 | \( 17^{2}\cdot 101 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.30808.1 | x6 - x4 - x3 + x2 + x + 1 | \( -\,2^{3}\cdot 3851 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.31133.1 | x6 - 2x4 - x3 + 2x + 1 | \( 163\cdot 191 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.31223.1 | x6 - x5 + x4 - x3 + 2x2 - x + 1 | \( -\,31223 \) | $S_6$ (as 6T16) | 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 |
| 6.0.32911.1 | 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 |
| 6.0.35099.1 | x6 + x4 + x2 - x + 1 | \( -\,35099 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.36107.1 | x6 - 2x5 + x4 - x2 + x + 1 | \( -\,36107 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.36235.1 | x6 - x5 + x2 - x + 1 | \( -\,5\cdot 7247 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.37253.1 | x6 - x4 + x2 - x - 1 | \( 37253 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.37423.1 | x6 - x5 + x4 + 1 | \( -\,37423 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.37463.1 | x6 - x4 - x3 + 2x2 + 2x + 1 | \( -\,37463 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.37568.1 | x6 - 2x5 + 2x4 - x2 + 2x - 1 | \( 2^{6}\cdot 587 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.39269.1 | x6 - x5 - 2x4 + 2x3 - 2x + 1 | \( 107\cdot 367 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.40277.1 | x6 - x5 + 2x3 - 3x2 + 3x - 1 | \( 40277 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.40543.1 | x6 - 2x5 + 3x4 - 3x3 + 4x2 - 2x + 1 | \( -\,40543 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.41069.1 | x6 - 2x4 + 2x2 - x - 1 | \( 7\cdot 5867 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.42316.1 | x6 - x3 + x + 1 | \( -\,2^{2}\cdot 71\cdot 149 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.43063.1 | x6 - x3 + x2 + 1 | \( -\,43063 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.43531.1 | x6 - x + 1 | \( -\,101\cdot 431 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.44423.1 | x6 - 2x5 + 2x4 - x2 + x + 1 | \( -\,31\cdot 1433 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.45203.1 | x6 - x5 + x4 + x2 - 2x + 1 | \( -\,17\cdot 2659 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.45223.1 | x6 - x5 - x4 - x3 + 2x2 + x + 1 | \( -\,41\cdot 1103 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.45301.1 | x6 - x5 + x4 + x - 1 | \( 89\cdot 509 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.45508.1 | x6 + x4 - x3 + 3x2 - x + 1 | \( -\,2^{2}\cdot 31\cdot 367 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.45872.1 | x6 - x5 - x3 + x + 1 | \( -\,2^{4}\cdot 47\cdot 61 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.46651.1 | x6 - 2x5 + 2x4 - x3 + 1 | \( -\,11\cdot 4241 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.46757.1 | x6 - x5 + 2x3 - 2x2 + 2x - 1 | \( 46757 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.47149.1 | x6 - x5 + 3x4 - 2x3 + x2 - 1 | \( 47149 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.47552.1 | x6 - 2x5 + 2x4 - 2x3 + x2 + 1 | \( -\,2^{6}\cdot 743 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.47669.1 | x6 - x5 + x4 - x2 - 1 | \( 73\cdot 653 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.47933.1 | x6 - 2x5 + 2x4 - x3 - 1 | \( 47933 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.49615.1 | x6 - 2x5 + 3x4 - x3 + 1 | \( -\,5\cdot 9923 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.49781.1 | x6 - x - 1 | \( 67\cdot 743 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.50173.1 | x6 - x5 + x4 + 2x3 - 4x2 + 3x - 1 | \( 131\cdot 383 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.50587.1 | x6 - x5 + 2x4 - 2x3 + 2x2 + 1 | \( -\,50587 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.51757.1 | x6 - 2x3 - 2x2 + x + 1 | \( 73\cdot 709 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.51869.1 | x6 - 2x5 + x4 + x3 - 2x2 + x - 1 | \( 51869 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.52271.1 | x6 - x5 + x4 - x3 + 1 | \( -\,167\cdot 313 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.52891.1 | x6 - x5 + 2x4 - x3 + x2 - 2x + 1 | \( -\,227\cdot 233 \) | $S_6$ (as 6T16) | Trivial |
| 6.0.54691.1 | x6 - x5 - 2x3 + 2x2 + 1 | \( -\,7\cdot 13\cdot 601 \) | $S_6$ (as 6T16) | Trivial |
| 6.2.55376.1 | x6 - x5 - 2x4 + 3x3 - x + 1 | \( 2^{4}\cdot 3461 \) | $S_6$ (as 6T16) | Trivial |
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