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Results (displaying matches 1-50 of 1323696) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 5.1.1609.1 | x5 - x3 - x2 + x + 1 | \( 1609 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.1649.1 | x5 - x4 + x2 - x + 1 | \( 17\cdot 97 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.1777.1 | x5 - x4 + x3 - 2x2 + x - 1 | \( 1777 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.2209.1 | x5 - 2x4 + 2x3 - x2 + 1 | \( 47^{2} \) | $D_{5}$ (as 5T2) | Trivial |
| 5.1.2297.1 | x5 - x4 + x3 - x2 - 1 | \( 2297 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.2617.1 | x5 + x3 - 2x2 - 1 | \( 2617 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.2665.1 | x5 - x4 + x3 - x2 + 2x - 1 | \( 5\cdot 13\cdot 41 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.2869.1 | x5 - x - 1 | \( 19\cdot 151 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.3017.1 | x5 - x2 + 1 | \( 7\cdot 431 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.3089.1 | x5 - x3 + 2x - 1 | \( 3089 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.3233.1 | x5 - x2 - 1 | \( 53\cdot 61 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.3369.1 | x5 + x3 - x2 - x - 1 | \( 3\cdot 1123 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.3857.1 | x5 - x4 + x3 - x2 + 1 | \( 7\cdot 19\cdot 29 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.3889.1 | x5 - x4 + x3 + x - 1 | \( 3889 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.4169.1 | x5 + 2x3 - x2 + 2x - 1 | \( 11\cdot 379 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.4261.1 | x5 - 2x2 - 2x - 1 | \( 4261 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.4409.1 | x5 - x4 + x2 + x - 1 | \( 4409 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.4417.1 | x5 - 2x4 + 2x3 - x2 - 1 | \( 7\cdot 631 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.4429.1 | x5 - x4 + 2x3 - x2 + 1 | \( 43\cdot 103 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.4432.1 | x5 - x4 + 2x2 - x + 1 | \( 2^{4}\cdot 277 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.4477.1 | x5 + x3 + x - 1 | \( 11^{2}\cdot 37 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.4511.1 | x5 - x3 - 2x2 + 1 | \( -\,13\cdot 347 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.4549.1 | x5 - x4 + 2x3 - 2x2 - 1 | \( 4549 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.4597.1 | x5 + x3 - 2x2 - x - 1 | \( 4597 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.4757.1 | x5 - x4 + 2x3 - x2 + 2x - 1 | \( 67\cdot 71 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.4817.1 | x5 - 2x4 + 2x3 - x2 + 2x - 1 | \( 4817 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.4897.1 | x5 - x4 - x3 + x2 + 1 | \( 59\cdot 83 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.4903.1 | x5 - x4 - x3 + 2x2 - x - 1 | \( -\,4903 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.5025.1 | x5 - x4 - x2 + x + 1 | \( 3\cdot 5^{2}\cdot 67 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.5164.1 | x5 - x4 - x3 + 2x + 1 | \( 2^{2}\cdot 1291 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.5437.1 | x5 - 2x4 + 2x3 - 2x2 - 1 | \( 5437 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.5501.1 | x5 - 2x4 + 2x2 - x + 1 | \( 5501 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.5519.1 | x5 - x4 - x3 + 3x2 - 1 | \( -\,5519 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.5584.1 | x5 - x4 + x + 1 | \( 2^{4}\cdot 349 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.5653.1 | x5 - x4 + 2x - 1 | \( 5653 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.5753.1 | x5 - x4 - x3 + 2x2 - x + 1 | \( 11\cdot 523 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.5783.1 | x5 - 2x4 + x3 + 2x2 - 2x - 1 | \( -\,5783 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.5864.1 | x5 - x4 + x3 + 2x2 - 2x + 1 | \( 2^{3}\cdot 733 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.5913.1 | x5 - x4 + 2x3 - x2 + x + 1 | \( 3^{4}\cdot 73 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.6241.1 | x5 - x4 + x3 - 2x2 + 3x - 1 | \( 79^{2} \) | $D_{5}$ (as 5T2) | Trivial |
| 5.1.6449.1 | x5 - x4 + x3 - 3x2 - 1 | \( 6449 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.6581.1 | x5 - 2x2 - 1 | \( 6581 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.6757.1 | x5 - x4 + 3x2 - 2x + 1 | \( 29\cdot 233 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.6793.1 | x5 - x4 + x3 + x + 1 | \( 6793 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.7031.1 | x5 - x3 - x2 - x + 1 | \( -\,79\cdot 89 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.7096.1 | x5 - x2 + x + 1 | \( 2^{3}\cdot 887 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.7177.1 | x5 - x4 + 3x3 - x2 + 2x - 1 | \( 7177 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.7265.1 | x5 - x4 + x3 + 2x2 - x + 1 | \( 5\cdot 1453 \) | $S_5$ (as 5T5) | Trivial |
| 5.1.7333.1 | x5 - 2x4 + 2x3 - 2x2 + 3x - 1 | \( 7333 \) | $S_5$ (as 5T5) | Trivial |
| 5.3.7367.1 | x5 - 2x4 + 3x2 - 2x - 1 | \( -\,53\cdot 139 \) | $S_5$ (as 5T5) | Trivial |
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