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| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 4.2.275.1 | x4 - x3 + 2x - 1 | \( -\,5^{2}\cdot 11 \) | $D_{4}$ (as 4T3) | 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 |
| 4.2.400.1 | x4 - x2 - 1 | \( -\,2^{4}\cdot 5^{2} \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.448.1 | x4 - 2x3 + x2 - 2x + 1 | \( -\,2^{6}\cdot 7 \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.475.1 | x4 - 2x3 + 2x2 - x - 1 | \( -\,5^{2}\cdot 19 \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.491.1 | x4 - x3 - x2 + 3x - 1 | \( -\,491 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.507.1 | x4 - x3 - x2 - x + 1 | \( -\,3\cdot 13^{2} \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.563.1 | x4 - x3 + x2 - x - 1 | \( -\,563 \) | $S_4$ (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 |
| 4.2.731.1 | 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 |
| 4.2.775.1 | x4 - x3 - 3x - 1 | \( -\,5^{2}\cdot 31 \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.848.1 | x4 - x2 - 2x + 1 | \( -\,2^{4}\cdot 53 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.976.1 | x4 - 2x3 + 3x2 - 1 | \( -\,2^{4}\cdot 61 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1024.1 | x4 - 2x2 - 1 | \( -\,2^{10} \) | $D_{4}$ (as 4T3) | 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 |
| 4.2.1156.1 | x4 - x3 - 2x2 - x + 1 | \( -\,2^{2}\cdot 17^{2} \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.1192.1 | x4 - x3 + 2x2 + x - 1 | \( -\,2^{3}\cdot 149 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1255.1 | x4 - x2 - 3x - 1 | \( -\,5\cdot 251 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1323.1 | x4 - x3 - 3x2 - x + 1 | \( -\,3^{3}\cdot 7^{2} \) | $D_{4}$ (as 4T3) | 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 |
| 4.2.1375.1 | x4 - x3 + x2 + 4x - 4 | \( -\,5^{3}\cdot 11 \) | $D_{4}$ (as 4T3) | 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 |
| 4.2.1456.1 | 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 |
| 4.2.1472.2 | x4 - 2x3 + 3x2 - 2x - 1 | \( -\,2^{6}\cdot 23 \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.1475.1 | x4 - x3 - x2 + 5x - 5 | \( -\,5^{2}\cdot 59 \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.1588.1 | x4 - x3 - 3x2 + 2 | \( -\,2^{2}\cdot 397 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1600.1 | x4 - 2x2 - 4 | \( -\,2^{6}\cdot 5^{2} \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.1728.1 | x4 - 2x3 - 2x + 1 | \( -\,2^{6}\cdot 3^{3} \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.1732.1 | x4 - x3 + 3x - 1 | \( -\,2^{2}\cdot 433 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1775.1 | x4 - 2x3 + 3x2 - 2x - 4 | \( -\,5^{2}\cdot 71 \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.1791.1 | x4 - x3 - x2 - 2x + 1 | \( -\,3^{2}\cdot 199 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1792.1 | x4 - 2x2 - 4x - 2 | \( -\,2^{8}\cdot 7 \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.1823.1 | x4 - x3 + 3x - 2 | \( -\,1823 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1856.1 | x4 - 2x3 + x2 - 2x - 1 | \( -\,2^{6}\cdot 29 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1879.1 | x4 - x3 - 2x2 - 3x + 1 | \( -\,1879 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1927.1 | x4 - 2x3 + x2 - 3x + 1 | \( -\,41\cdot 47 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1931.1 | x4 - 3x + 1 | \( -\,1931 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1963.1 | x4 - x3 + 2x2 - 2x - 1 | \( -\,13\cdot 151 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1968.1 | x4 - 4x2 - 2x + 2 | \( -\,2^{4}\cdot 3\cdot 41 \) | $S_4$ (as 4T5) | Trivial |
| 4.2.1975.1 | x4 - 2x3 + x2 - 5 | \( -\,5^{2}\cdot 79 \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.1984.1 | x4 - 2x3 + x2 - 2 | \( -\,2^{6}\cdot 31 \) | $D_{4}$ (as 4T3) | Trivial |
| 4.2.1984.2 | x4 - 2x3 + 2x2 + 2x - 1 | \( -\,2^{6}\cdot 31 \) | $S_4$ (as 4T5) | Trivial |
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