Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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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) | $[4]$ |