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Results (displaying matches 1-50 of at least 1000) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 2.0.39.1 | x2 - x + 10 | \( -\,3\cdot 13 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.55.1 | x2 - x + 14 | \( -\,5\cdot 11 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.56.1 | x2 + 14 | \( -\,2^{3}\cdot 7 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.68.1 | x2 + 17 | \( -\,2^{2}\cdot 17 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.84.1 | x2 + 21 | \( -\,2^{2}\cdot 3\cdot 7 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.120.1 | x2 + 30 | \( -\,2^{3}\cdot 3\cdot 5 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.132.1 | x2 + 33 | \( -\,2^{2}\cdot 3\cdot 11 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.136.1 | x2 + 34 | \( -\,2^{3}\cdot 17 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.2.145.1 | x2 - x - 36 | \( 5\cdot 29 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.155.1 | x2 - x + 39 | \( -\,5\cdot 31 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.168.1 | x2 + 42 | \( -\,2^{3}\cdot 3\cdot 7 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.184.1 | x2 + 46 | \( -\,2^{3}\cdot 23 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.195.1 | x2 - x + 49 | \( -\,3\cdot 5\cdot 13 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.203.1 | x2 - x + 51 | \( -\,7\cdot 29 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.219.1 | x2 - x + 55 | \( -\,3\cdot 73 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.228.1 | x2 + 57 | \( -\,2^{2}\cdot 3\cdot 19 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.259.1 | x2 - x + 65 | \( -\,7\cdot 37 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.280.1 | x2 + 70 | \( -\,2^{3}\cdot 5\cdot 7 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.291.1 | x2 - x + 73 | \( -\,3\cdot 97 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.292.1 | x2 + 73 | \( -\,2^{2}\cdot 73 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.312.1 | x2 + 78 | \( -\,2^{3}\cdot 3\cdot 13 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.323.1 | x2 - x + 81 | \( -\,17\cdot 19 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.328.1 | x2 + 82 | \( -\,2^{3}\cdot 41 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.2.328.1 | x2 - 82 | \( 2^{3}\cdot 41 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.340.1 | x2 + 85 | \( -\,2^{2}\cdot 5\cdot 17 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.355.1 | x2 - x + 89 | \( -\,5\cdot 71 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.372.1 | x2 + 93 | \( -\,2^{2}\cdot 3\cdot 31 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.388.1 | x2 + 97 | \( -\,2^{2}\cdot 97 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.408.1 | x2 + 102 | \( -\,2^{3}\cdot 3\cdot 17 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.435.1 | x2 - x + 109 | \( -\,3\cdot 5\cdot 29 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.2.445.1 | x2 - x - 111 | \( 5\cdot 89 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.483.1 | x2 - x + 121 | \( -\,3\cdot 7\cdot 23 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.2.505.1 | x2 - x - 126 | \( 5\cdot 101 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.520.1 | x2 + 130 | \( -\,2^{3}\cdot 5\cdot 13 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.2.520.1 | x2 - 130 | \( 2^{3}\cdot 5\cdot 13 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.532.1 | x2 + 133 | \( -\,2^{2}\cdot 7\cdot 19 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.555.1 | x2 - x + 139 | \( -\,3\cdot 5\cdot 37 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.568.1 | x2 + 142 | \( -\,2^{3}\cdot 71 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.595.1 | x2 - x + 149 | \( -\,5\cdot 7\cdot 17 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.627.1 | x2 - x + 157 | \( -\,3\cdot 11\cdot 19 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.667.1 | x2 - x + 167 | \( -\,23\cdot 29 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.2.680.1 | x2 - 170 | \( 2^{3}\cdot 5\cdot 17 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.2.689.1 | x2 - x - 172 | \( 13\cdot 53 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.708.1 | x2 + 177 | \( -\,2^{2}\cdot 3\cdot 59 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.715.1 | x2 - x + 179 | \( -\,5\cdot 11\cdot 13 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.723.1 | x2 - x + 181 | \( -\,3\cdot 241 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.760.1 | x2 + 190 | \( -\,2^{3}\cdot 5\cdot 19 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.763.1 | x2 - x + 191 | \( -\,7\cdot 109 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.772.1 | x2 + 193 | \( -\,2^{2}\cdot 193 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.2.777.1 | x2 - x - 194 | \( 3\cdot 7\cdot 37 \) | $C_2$ (as 2T1) | $[4]$ |
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