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Results (displaying matches 1-50 of 316464) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 5.3.4511.1 | x5 - x3 - 2x2 + 1 | \( -\,13\cdot 347 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.4903.1 | x5 - x4 - x3 + 2x2 - x - 1 | \( -\,4903 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.5519.1 | x5 - x4 - x3 + 3x2 - 1 | \( -\,5519 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.5783.1 | x5 - 2x4 + x3 + 2x2 - 2x - 1 | \( -\,5783 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.7031.1 | x5 - x3 - x2 - x + 1 | \( -\,79\cdot 89 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.7367.1 | x5 - 2x4 + 3x2 - 2x - 1 | \( -\,53\cdot 139 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.7463.1 | x5 - 2x4 + x3 - 2x + 1 | \( -\,17\cdot 439 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.8519.1 | x5 - x4 - x2 - x + 1 | \( -\,7\cdot 1217 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.8647.1 | x5 - 3x3 - 2x2 + 2x + 1 | \( -\,8647 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.9439.1 | x5 - x4 - x3 + x2 - 2x + 1 | \( -\,9439 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.9759.1 | x5 - 2x4 + x2 - 2x - 1 | \( -\,3\cdot 3253 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.10407.1 | x5 - x4 - 3x3 + 3x - 1 | \( -\,3\cdot 3469 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.11119.1 | x5 - 2x4 + x3 + x2 - 3x + 1 | \( -\,11119 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.11243.1 | x5 - x4 - 2x + 1 | \( -\,11243 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.11551.1 | x5 - x4 - 2x3 + 3x2 - x - 1 | \( -\,11551 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.12447.1 | x5 + x3 - x2 - 3x - 1 | \( -\,3^{3}\cdot 461 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.13219.1 | x5 - 2x2 - x + 1 | \( -\,13219 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.13523.1 | x5 - x4 - x3 - x2 - 3x + 1 | \( -\,13523 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.13799.1 | x5 - x4 - x3 + 2x2 - 3x + 1 | \( -\,13799 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.13883.1 | x5 - x4 - 2x3 + x + 2 | \( -\,13883 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.14103.1 | x5 - 2x4 + 2x3 - x2 - 2x + 1 | \( -\,3^{2}\cdot 1567 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.14631.1 | x5 - x4 - 3x3 + 3x2 - 1 | \( -\,3\cdot 4877 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.14891.1 | x5 - x4 - 3x3 + 3x2 + x - 2 | \( -\,14891 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.14911.1 | x5 - x4 - 2x3 - x2 + 3x + 1 | \( -\,13\cdot 31\cdot 37 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.15536.1 | x5 - 2x4 + 2 | \( -\,2^{4}\cdot 971 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.15919.1 | x5 - 2x3 - 3x2 + 1 | \( -\,15919 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.16816.1 | x5 - 2x3 - 2x2 - 4x - 2 | \( -\,2^{4}\cdot 1051 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.17151.1 | x5 - x3 - 2x - 1 | \( -\,3\cdot 5717 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.17348.1 | x5 - x4 - 2x3 - x2 + 2x + 2 | \( -\,2^{2}\cdot 4337 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.18063.1 | x5 - x4 + x3 - 2x2 - x + 1 | \( -\,3^{4}\cdot 223 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.18463.1 | x5 - x4 - 3x3 + 4x2 + x - 1 | \( -\,37\cdot 499 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.18583.1 | x5 - x4 - x3 - 2x2 + x + 1 | \( -\,18583 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.18839.1 | x5 - x4 + 3x2 - x - 1 | \( -\,18839 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.19015.1 | x5 - 2x3 - x2 - 2x - 1 | \( -\,5\cdot 3803 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.19951.1 | x5 - 2x4 + x3 - 3x2 + 3x + 1 | \( -\,71\cdot 281 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.21191.1 | x5 - x4 - x2 - 3x - 1 | \( -\,21191 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.21227.1 | x5 - x4 - 4x2 + 3x + 2 | \( -\,21227 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.22331.1 | x5 - 2x4 + 4x2 - x - 1 | \( -\,137\cdot 163 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.22424.1 | x5 - 2x3 - x2 - x + 1 | \( -\,2^{3}\cdot 2803 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.22448.1 | x5 - x4 - 2x3 + 2x2 - x - 1 | \( -\,2^{4}\cdot 23\cdot 61 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.22583.1 | x5 - x2 - 2x + 1 | \( -\,11\cdot 2053 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.22687.1 | x5 - x4 + x3 - x2 - 2x + 1 | \( -\,7^{2}\cdot 463 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.22935.1 | x5 + x3 - 2x2 - 4x + 1 | \( -\,3\cdot 5\cdot 11\cdot 139 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.23103.1 | x5 - x4 + x2 - 3x + 1 | \( -\,3^{2}\cdot 17\cdot 151 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.23119.1 | x5 - 3x2 + 1 | \( -\,61\cdot 379 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.23339.1 | x5 - x4 + 2x2 - 2x - 1 | \( -\,23339 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.23679.1 | x5 - 2x4 + x2 - 2x + 3 | \( -\,3^{3}\cdot 877 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.23831.1 | x5 - 3x3 - 2x2 + 4x - 1 | \( -\,23831 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.23891.1 | x5 - x4 - 3x3 - x2 + 3x + 2 | \( -\,7\cdot 3413 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.24299.1 | x5 - x4 - x3 + 3x2 - x - 2 | \( -\,11\cdot 47^{2} \) | $S_5$ (as 5T5) | Trivial |
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