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Results (displaying all 33 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 1.1.1.1 | x | \( 1 \) | Trivial (as 1T1) | Trivial |
| 2.2.5.1 | x2 - x - 1 | \( 5 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.8.1 | x2 - 2 | \( 2^{3} \) | $C_2$ (as 2T1) | Trivial |
| 2.2.12.1 | x2 - 3 | \( 2^{2}\cdot 3 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.13.1 | x2 - x - 3 | \( 13 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.17.1 | x2 - x - 4 | \( 17 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.21.1 | x2 - x - 5 | \( 3\cdot 7 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.24.1 | x2 - 6 | \( 2^{3}\cdot 3 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.28.1 | x2 - 7 | \( 2^{2}\cdot 7 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.29.1 | x2 - x - 7 | \( 29 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.33.1 | x2 - x - 8 | \( 3\cdot 11 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.37.1 | x2 - x - 9 | \( 37 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.40.1 | x2 - 10 | \( 2^{3}\cdot 5 \) | $C_2$ (as 2T1) | $[2]$ |
| 2.2.41.1 | x2 - x - 10 | \( 41 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.44.1 | x2 - 11 | \( 2^{2}\cdot 11 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.53.1 | x2 - x - 13 | \( 53 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.56.1 | x2 - 14 | \( 2^{3}\cdot 7 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.57.1 | x2 - x - 14 | \( 3\cdot 19 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.60.1 | x2 - 15 | \( 2^{2}\cdot 3\cdot 5 \) | $C_2$ (as 2T1) | $[2]$ |
| 2.2.61.1 | x2 - x - 15 | \( 61 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.65.1 | x2 - x - 16 | \( 5\cdot 13 \) | $C_2$ (as 2T1) | $[2]$ |
| 2.2.69.1 | x2 - x - 17 | \( 3\cdot 23 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.73.1 | x2 - x - 18 | \( 73 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.76.1 | x2 - 19 | \( 2^{2}\cdot 19 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.77.1 | x2 - x - 19 | \( 7\cdot 11 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.85.1 | x2 - x - 21 | \( 5\cdot 17 \) | $C_2$ (as 2T1) | $[2]$ |
| 2.2.88.1 | x2 - 22 | \( 2^{3}\cdot 11 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.89.1 | x2 - x - 22 | \( 89 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.92.1 | x2 - 23 | \( 2^{2}\cdot 23 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.93.1 | x2 - x - 23 | \( 3\cdot 31 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.97.1 | x2 - x - 24 | \( 97 \) | $C_2$ (as 2T1) | Trivial |
| 3.3.49.1 | x3 - x2 - 2x + 1 | \( 7^{2} \) | $C_3$ (as 3T1) | Trivial |
| 3.3.81.1 | x3 - 3x - 1 | \( 3^{4} \) | $C_3$ (as 3T1) | Trivial |