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Label | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
2.0.3.1 | $ x^{2} - x + 1 $ | $-\,3$ | $C_2$ (as 2T1) | trivial |
2.0.4.1 | $ x^{2} + 1 $ | $-\,2^{2}$ | $C_2$ (as 2T1) | trivial |
2.0.7.1 | $ x^{2} - x + 2 $ | $-\,7$ | $C_2$ (as 2T1) | trivial |
2.0.8.1 | $ x^{2} + 2 $ | $-\,2^{3}$ | $C_2$ (as 2T1) | trivial |
2.0.11.1 | $ x^{2} - x + 3 $ | $-\,11$ | $C_2$ (as 2T1) | trivial |
2.0.15.1 | $ x^{2} - x + 4 $ | $-\,3\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.0.19.1 | $ x^{2} - x + 5 $ | $-\,19$ | $C_2$ (as 2T1) | trivial |
2.0.20.1 | $ x^{2} + 5 $ | $-\,2^{2}\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.0.23.1 | $ x^{2} - x + 6 $ | $-\,23$ | $C_2$ (as 2T1) | $[3]$ |
2.0.24.1 | $ x^{2} + 6 $ | $-\,2^{3}\cdot 3$ | $C_2$ (as 2T1) | $[2]$ |
2.0.31.1 | $ x^{2} - x + 8 $ | $-\,31$ | $C_2$ (as 2T1) | $[3]$ |
2.0.35.1 | $ x^{2} - x + 9 $ | $-\,5\cdot 7$ | $C_2$ (as 2T1) | $[2]$ |
2.0.39.1 | $ x^{2} - x + 10 $ | $-\,3\cdot 13$ | $C_2$ (as 2T1) | $[4]$ |
2.0.40.1 | $ x^{2} + 10 $ | $-\,2^{3}\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.0.43.1 | $ x^{2} - x + 11 $ | $-\,43$ | $C_2$ (as 2T1) | trivial |
2.0.47.1 | $ x^{2} - x + 12 $ | $-\,47$ | $C_2$ (as 2T1) | $[5]$ |
2.0.51.1 | $ x^{2} - x + 13 $ | $-\,3\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.0.52.1 | $ x^{2} + 13 $ | $-\,2^{2}\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.0.55.1 | $ x^{2} - x + 14 $ | $-\,5\cdot 11$ | $C_2$ (as 2T1) | $[4]$ |
2.0.56.1 | $ x^{2} + 14 $ | $-\,2^{3}\cdot 7$ | $C_2$ (as 2T1) | $[4]$ |
2.0.59.1 | $ x^{2} - x + 15 $ | $-\,59$ | $C_2$ (as 2T1) | $[3]$ |
2.0.67.1 | $ x^{2} - x + 17 $ | $-\,67$ | $C_2$ (as 2T1) | trivial |
2.0.68.1 | $ x^{2} + 17 $ | $-\,2^{2}\cdot 17$ | $C_2$ (as 2T1) | $[4]$ |
2.0.71.1 | $ x^{2} - x + 18 $ | $-\,71$ | $C_2$ (as 2T1) | $[7]$ |
2.0.79.1 | $ x^{2} - x + 20 $ | $-\,79$ | $C_2$ (as 2T1) | $[5]$ |
2.0.83.1 | $ x^{2} - x + 21 $ | $-\,83$ | $C_2$ (as 2T1) | $[3]$ |
2.0.84.1 | $ x^{2} + 21 $ | $-\,2^{2}\cdot 3\cdot 7$ | $C_2$ (as 2T1) | $[2, 2]$ |
2.0.87.1 | $ x^{2} - x + 22 $ | $-\,3\cdot 29$ | $C_2$ (as 2T1) | $[6]$ |
2.0.88.1 | $ x^{2} + 22 $ | $-\,2^{3}\cdot 11$ | $C_2$ (as 2T1) | $[2]$ |
2.0.91.1 | $ x^{2} - x + 23 $ | $-\,7\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.0.95.1 | $ x^{2} - x + 24 $ | $-\,5\cdot 19$ | $C_2$ (as 2T1) | $[8]$ |
2.0.103.1 | $ x^{2} - x + 26 $ | $-\,103$ | $C_2$ (as 2T1) | $[5]$ |
2.0.104.1 | $ x^{2} + 26 $ | $-\,2^{3}\cdot 13$ | $C_2$ (as 2T1) | $[6]$ |
2.0.107.1 | $ x^{2} - x + 27 $ | $-\,107$ | $C_2$ (as 2T1) | $[3]$ |
2.0.111.1 | $ x^{2} - x + 28 $ | $-\,3\cdot 37$ | $C_2$ (as 2T1) | $[8]$ |
2.0.115.1 | $ x^{2} - x + 29 $ | $-\,5\cdot 23$ | $C_2$ (as 2T1) | $[2]$ |
2.0.116.1 | $ x^{2} + 29 $ | $-\,2^{2}\cdot 29$ | $C_2$ (as 2T1) | $[6]$ |
2.0.119.1 | $ x^{2} - x + 30 $ | $-\,7\cdot 17$ | $C_2$ (as 2T1) | $[10]$ |
2.0.120.1 | $ x^{2} + 30 $ | $-\,2^{3}\cdot 3\cdot 5$ | $C_2$ (as 2T1) | $[2, 2]$ |
2.0.123.1 | $ x^{2} - x + 31 $ | $-\,3\cdot 41$ | $C_2$ (as 2T1) | $[2]$ |
2.0.127.1 | $ x^{2} - x + 32 $ | $-\,127$ | $C_2$ (as 2T1) | $[5]$ |
2.0.131.1 | $ x^{2} - x + 33 $ | $-\,131$ | $C_2$ (as 2T1) | $[5]$ |
2.0.132.1 | $ x^{2} + 33 $ | $-\,2^{2}\cdot 3\cdot 11$ | $C_2$ (as 2T1) | $[2, 2]$ |
2.0.136.1 | $ x^{2} + 34 $ | $-\,2^{3}\cdot 17$ | $C_2$ (as 2T1) | $[4]$ |
2.0.139.1 | $ x^{2} - x + 35 $ | $-\,139$ | $C_2$ (as 2T1) | $[3]$ |
2.0.143.1 | $ x^{2} - x + 36 $ | $-\,11\cdot 13$ | $C_2$ (as 2T1) | $[10]$ |
2.0.148.1 | $ x^{2} + 37 $ | $-\,2^{2}\cdot 37$ | $C_2$ (as 2T1) | $[2]$ |
2.0.151.1 | $ x^{2} - x + 38 $ | $-\,151$ | $C_2$ (as 2T1) | $[7]$ |
2.0.152.1 | $ x^{2} + 38 $ | $-\,2^{3}\cdot 19$ | $C_2$ (as 2T1) | $[6]$ |
2.0.155.1 | $ x^{2} - x + 39 $ | $-\,5\cdot 31$ | $C_2$ (as 2T1) | $[4]$ |