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| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 4.0.229.1 | x4 - x + 1 | \( 229 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.257.1 | x4 + x2 - x + 1 | \( 257 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.283.1 | x4 - x - 1 | \( -\,283 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.331.1 | x4 - x3 + x2 + x - 1 | \( -\,331 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.491.1 | x4 - x3 - x2 + 3x - 1 | \( -\,491 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.563.1 | x4 - x3 + x2 - x - 1 | \( -\,563 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.592.1 | x4 + 2x2 - 2x + 1 | \( 2^{4}\cdot 37 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.643.1 | x4 - x3 - 2x + 1 | \( -\,643 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.688.1 | x4 - 2x - 1 | \( -\,2^{4}\cdot 43 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.697.1 | x4 - x3 + 2x2 - x + 2 | \( 17\cdot 41 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.731.1 | x4 - x3 + 2x2 - 1 | \( -\,17\cdot 43 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.751.1 | x4 - 2x3 + x2 - x - 1 | \( -\,751 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.761.1 | x4 - x3 + x2 + 2x + 1 | \( 761 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.788.1 | x4 - x3 + 2x2 - 2x + 2 | \( 2^{2}\cdot 197 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.848.1 | x4 - x2 - 2x + 1 | \( -\,2^{4}\cdot 53 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.892.1 | x4 - x3 - x2 + 2 | \( 2^{2}\cdot 223 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.976.1 | x4 - 2x3 + 3x2 - 1 | \( -\,2^{4}\cdot 61 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.985.1 | x4 - x3 + 2x2 - 3x + 2 | \( 5\cdot 197 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1016.1 | x4 - x3 + x2 - 2x + 2 | \( 2^{3}\cdot 127 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1076.1 | x4 - x3 + 3x2 - 3x + 2 | \( 2^{2}\cdot 269 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1099.1 | x4 - x3 + x2 - 3x + 1 | \( -\,7\cdot 157 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1107.1 | x4 - x3 - 2x - 1 | \( -\,3^{3}\cdot 41 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1129.1 | x4 - x3 - x + 2 | \( 1129 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1192.1 | x4 - x3 + 2x2 + x - 1 | \( -\,2^{3}\cdot 149 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1229.1 | x4 - x3 + 3x2 - x + 3 | \( 1229 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1255.1 | x4 - x2 - 3x - 1 | \( -\,5\cdot 251 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1257.1 | x4 - x2 - x + 2 | \( 3\cdot 419 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1264.1 | x4 + 3x2 - 2x + 1 | \( 2^{4}\cdot 79 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1328.1 | x4 - 3x2 - 2x + 1 | \( -\,2^{4}\cdot 83 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1371.1 | x4 + 2x2 - x - 1 | \( -\,3\cdot 457 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1384.1 | x4 - x3 - x2 + 2x + 2 | \( 2^{3}\cdot 173 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1396.1 | x4 - x3 + x2 - x + 2 | \( 2^{2}\cdot 349 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1399.1 | x4 - x3 + x - 2 | \( -\,1399 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1423.1 | x4 - x3 + x2 - 2x - 1 | \( -\,1423 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1424.1 | x4 + x2 - 2x - 1 | \( -\,2^{4}\cdot 89 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1436.1 | x4 - x3 + 3x2 + 2 | \( 2^{2}\cdot 359 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1456.1 | x4 - 2x2 - 2x + 1 | \( -\,2^{4}\cdot 7\cdot 13 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1472.1 | x4 - 2x3 + 2x2 - 2 | \( -\,2^{6}\cdot 23 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1489.1 | x4 - x3 + 4x2 - x + 2 | \( 1489 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1492.1 | x4 - x3 + 2x2 + 2 | \( 2^{2}\cdot 373 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1509.1 | x4 - x3 + 2x2 + 2x + 1 | \( 3\cdot 503 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1556.1 | x4 - x3 - x2 + x + 2 | \( 2^{2}\cdot 389 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1588.1 | x4 - x3 - 3x2 + 2 | \( -\,2^{2}\cdot 397 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1593.1 | x4 - 2x3 + 3x2 - x + 2 | \( 3^{3}\cdot 59 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1616.1 | x4 - 2x + 2 | \( 2^{4}\cdot 101 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1732.1 | x4 - x3 + 3x - 1 | \( -\,2^{2}\cdot 433 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1765.1 | x4 - x3 - x2 - x + 3 | \( 5\cdot 353 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1791.1 | x4 - x3 - x2 - 2x + 1 | \( -\,3^{2}\cdot 199 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1823.1 | x4 - x3 + 3x - 2 | \( -\,1823 \) | $S_4$ (as 4T5) | Trivial |
| 4.0.1825.1 | x4 + x2 - x + 2 | \( 5^{2}\cdot 73 \) | $S_4$ (as 4T5) | Trivial |
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