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Results (displaying matches 1-50 of 300892) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 5.5.14641.1 | x5 - x4 - 4x3 + 3x2 + 3x - 1 | \( 11^{4} \) | $C_5$ (as 5T1) | Trivial |
| 5.5.24217.1 | x5 - 5x3 - x2 + 3x + 1 | \( 61\cdot 397 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.36497.1 | x5 - 2x4 - 3x3 + 5x2 + x - 1 | \( 36497 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.38569.1 | x5 - 5x3 + 4x - 1 | \( 38569 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.65657.1 | x5 - x4 - 5x3 + 2x2 + 5x + 1 | \( 65657 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.70601.1 | x5 - x4 - 5x3 + 2x2 + 3x - 1 | \( 17\cdot 4153 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.81509.1 | x5 - x4 - 5x3 + 3x2 + 5x - 2 | \( 81509 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.81589.1 | x5 - 6x3 + 8x - 1 | \( 83\cdot 983 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.89417.1 | x5 - 6x3 - x2 + 8x + 3 | \( 89417 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.101833.1 | x5 - x4 - 5x3 + 5x2 + 2x - 1 | \( 101833 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.106069.1 | x5 - 2x4 - 4x3 + 7x2 + 3x - 4 | \( 73\cdot 1453 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.117688.1 | x5 - x4 - 5x3 + 4x2 + 4x - 1 | \( 2^{3}\cdot 47\cdot 313 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.122821.1 | x5 - 2x4 - 4x3 + 4x2 + 3x - 1 | \( 263\cdot 467 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.124817.1 | x5 - 7x3 - 6x2 + 2x + 1 | \( 7\cdot 11\cdot 1621 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.126032.1 | x5 - 6x3 + 6x - 2 | \( 2^{4}\cdot 7877 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.135076.1 | x5 - x4 - 5x3 + 4x2 + 4x - 2 | \( 2^{2}\cdot 33769 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.138136.1 | x5 - x4 - 6x3 + 3x2 + 4x - 2 | \( 2^{3}\cdot 31\cdot 557 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.138917.1 | x5 - 6x3 - 2x2 + 3x + 1 | \( 138917 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.144209.1 | x5 - 6x3 - x2 + 6x - 1 | \( 13\cdot 11093 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.147109.1 | x5 - 2x4 - 4x3 + 5x2 + 3x - 2 | \( 157\cdot 937 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.149169.1 | x5 - 6x3 - 3x2 + 4x + 1 | \( 3\cdot 19\cdot 2617 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.153424.1 | x5 - 2x4 - 4x3 + 8x2 - 2 | \( 2^{4}\cdot 43\cdot 223 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.157457.1 | x5 - 2x4 - 4x3 + 5x2 + 4x - 1 | \( 157457 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.160801.1 | x5 - x4 - 5x3 + 4x2 + 3x - 1 | \( 401^{2} \) | $D_{5}$ (as 5T2) | Trivial |
| 5.5.161121.1 | x5 - x4 - 6x3 + 3x2 + 5x + 1 | \( 3\cdot 43\cdot 1249 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.170701.1 | x5 - x4 - 6x3 + 4x + 1 | \( 170701 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.173513.1 | x5 - 2x4 - 5x3 + 3x2 + 3x - 1 | \( 167\cdot 1039 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.176281.1 | x5 - x4 - 5x3 + 3x2 + 4x - 1 | \( 7\cdot 25183 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.176684.1 | x5 - 6x3 - x2 + 5x - 1 | \( 2^{2}\cdot 44171 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.179024.1 | x5 - 8x3 + 6x - 2 | \( 2^{4}\cdot 67\cdot 167 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.180769.1 | x5 - 2x4 - 4x3 + 7x2 - 1 | \( 41\cdot 4409 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.181057.1 | x5 - 2x4 - 4x3 + 7x2 + 2x - 3 | \( 331\cdot 547 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.186037.1 | x5 - x4 - 6x3 + 2x2 + 5x - 2 | \( 186037 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.195829.1 | x5 - 2x4 - 5x3 + 6x2 + 7x + 1 | \( 113\cdot 1733 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.202817.1 | x5 - 2x4 - 4x3 + 5x2 + 2x - 1 | \( 202817 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.205225.1 | x5 - x4 - 6x3 + 3x2 + 7x - 3 | \( 5^{2}\cdot 8209 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.207184.1 | x5 - x4 - 6x3 + 2x2 + 7x - 1 | \( 2^{4}\cdot 23\cdot 563 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.210557.1 | x5 - x4 - 6x3 + 4x2 + 8x - 1 | \( 210557 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.216637.1 | x5 - 2x4 - 4x3 + 7x2 + x - 2 | \( 23\cdot 9419 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.218524.1 | x5 - 2x4 - 4x3 + 5x2 + 3x - 1 | \( 2^{2}\cdot 54631 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.220036.1 | x5 - 2x4 - 5x3 + 11x2 - 2x - 1 | \( 2^{2}\cdot 55009 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.220669.1 | x5 - 7x3 - 2x2 + 11x + 5 | \( 149\cdot 1481 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.223824.1 | x5 - 2x4 - 4x3 + 6x2 + 2x - 2 | \( 2^{4}\cdot 3\cdot 4663 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.223952.1 | x5 - 6x3 - 2x2 + 6x + 2 | \( 2^{4}\cdot 13997 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.224773.1 | x5 - x4 - 6x3 + 2x2 + 7x + 2 | \( 53\cdot 4241 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.230224.1 | x5 - 2x4 - 4x3 + 6x2 + 3x - 2 | \( 2^{4}\cdot 14389 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.233489.1 | x5 - x4 - 6x3 + x2 + 5x - 1 | \( 233489 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.236549.1 | x5 - x4 - 6x3 + 7x2 + 2x - 1 | \( 236549 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.240133.1 | x5 - 2x4 - 4x3 + 6x2 + 2x - 1 | \( 439\cdot 547 \) | $S_5$ (as 5T5) | Trivial |
| 5.5.240881.1 | x5 - 2x4 - 5x3 + 9x2 + 5x - 7 | \( 240881 \) | $S_5$ (as 5T5) | Trivial |
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