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 |
---|---|---|---|---|
2.0.399.1 | $x^{2} - x + 100$ | $-\,3\cdot 7\cdot 19$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.407.1 | $x^{2} - x + 102$ | $-\,11\cdot 37$ | $C_2$ (as 2T1) | $[16]$ |
2.0.471.1 | $x^{2} - x + 118$ | $-\,3\cdot 157$ | $C_2$ (as 2T1) | $[16]$ |
2.0.559.1 | $x^{2} - x + 140$ | $-\,13\cdot 43$ | $C_2$ (as 2T1) | $[16]$ |
2.0.584.1 | $x^{2} + 146$ | $-\,2^{3}\cdot 73$ | $C_2$ (as 2T1) | $[16]$ |
2.0.644.1 | $x^{2} + 161$ | $-\,2^{2}\cdot 7\cdot 23$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.663.1 | $x^{2} - x + 166$ | $-\,3\cdot 13\cdot 17$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.740.1 | $x^{2} + 185$ | $-\,2^{2}\cdot 5\cdot 37$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.799.1 | $x^{2} - x + 200$ | $-\,17\cdot 47$ | $C_2$ (as 2T1) | $[16]$ |
2.0.884.1 | $x^{2} + 221$ | $-\,2^{2}\cdot 13\cdot 17$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.895.1 | $x^{2} - x + 224$ | $-\,5\cdot 179$ | $C_2$ (as 2T1) | $[16]$ |
2.0.903.1 | $x^{2} - x + 226$ | $-\,3\cdot 7\cdot 43$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.943.1 | $x^{2} - x + 236$ | $-\,23\cdot 41$ | $C_2$ (as 2T1) | $[16]$ |
2.0.1015.1 | $x^{2} - x + 254$ | $-\,5\cdot 7\cdot 29$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.1016.1 | $x^{2} + 254$ | $-\,2^{3}\cdot 127$ | $C_2$ (as 2T1) | $[16]$ |
2.0.1023.1 | $x^{2} - x + 256$ | $-\,3\cdot 11\cdot 31$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.1028.1 | $x^{2} + 257$ | $-\,2^{2}\cdot 257$ | $C_2$ (as 2T1) | $[16]$ |
2.0.1047.1 | $x^{2} - x + 262$ | $-\,3\cdot 349$ | $C_2$ (as 2T1) | $[16]$ |
2.0.1139.1 | $x^{2} - x + 285$ | $-\,17\cdot 67$ | $C_2$ (as 2T1) | $[16]$ |
2.0.1140.1 | $x^{2} + 285$ | $-\,2^{2}\cdot 3\cdot 5\cdot 19$ | $C_2$ (as 2T1) | $[2, 2, 4]$ |
2.0.1159.1 | $x^{2} - x + 290$ | $-\,19\cdot 61$ | $C_2$ (as 2T1) | $[16]$ |
2.0.1220.1 | $x^{2} + 305$ | $-\,2^{2}\cdot 5\cdot 61$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.1379.1 | $x^{2} - x + 345$ | $-\,7\cdot 197$ | $C_2$ (as 2T1) | $[16]$ |
2.0.1412.1 | $x^{2} + 353$ | $-\,2^{2}\cdot 353$ | $C_2$ (as 2T1) | $[16]$ |
2.0.1416.1 | $x^{2} + 354$ | $-\,2^{3}\cdot 3\cdot 59$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.1508.1 | $x^{2} + 377$ | $-\,2^{2}\cdot 13\cdot 29$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.1560.1 | $x^{2} + 390$ | $-\,2^{3}\cdot 3\cdot 5\cdot 13$ | $C_2$ (as 2T1) | $[2, 2, 4]$ |
2.0.1595.1 | $x^{2} - x + 399$ | $-\,5\cdot 11\cdot 29$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.1608.1 | $x^{2} + 402$ | $-\,2^{3}\cdot 3\cdot 67$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.1624.1 | $x^{2} + 406$ | $-\,2^{3}\cdot 7\cdot 29$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.1636.1 | $x^{2} + 409$ | $-\,2^{2}\cdot 409$ | $C_2$ (as 2T1) | $[16]$ |
2.0.1640.1 | $x^{2} + 410$ | $-\,2^{3}\cdot 5\cdot 41$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.1716.1 | $x^{2} + 429$ | $-\,2^{2}\cdot 3\cdot 11\cdot 13$ | $C_2$ (as 2T1) | $[2, 2, 4]$ |
2.0.1860.1 | $x^{2} + 465$ | $-\,2^{2}\cdot 3\cdot 5\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 4]$ |
2.0.1876.1 | $x^{2} + 469$ | $-\,2^{2}\cdot 7\cdot 67$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.1924.1 | $x^{2} + 481$ | $-\,2^{2}\cdot 13\cdot 37$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.1983.1 | $x^{2} - x + 496$ | $-\,3\cdot 661$ | $C_2$ (as 2T1) | $[16]$ |
2.0.2004.1 | $x^{2} + 501$ | $-\,2^{2}\cdot 3\cdot 167$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.2019.1 | $x^{2} - x + 505$ | $-\,3\cdot 673$ | $C_2$ (as 2T1) | $[16]$ |
2.0.2040.1 | $x^{2} + 510$ | $-\,2^{3}\cdot 3\cdot 5\cdot 17$ | $C_2$ (as 2T1) | $[2, 2, 4]$ |
2.0.2056.1 | $x^{2} + 514$ | $-\,2^{3}\cdot 257$ | $C_2$ (as 2T1) | $[16]$ |
2.0.2072.1 | $x^{2} + 518$ | $-\,2^{3}\cdot 7\cdot 37$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.2095.1 | $x^{2} - x + 524$ | $-\,5\cdot 419$ | $C_2$ (as 2T1) | $[16]$ |
2.0.2195.1 | $x^{2} - x + 549$ | $-\,5\cdot 439$ | $C_2$ (as 2T1) | $[16]$ |
2.0.2211.1 | $x^{2} - x + 553$ | $-\,3\cdot 11\cdot 67$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.2244.1 | $x^{2} + 561$ | $-\,2^{2}\cdot 3\cdot 11\cdot 17$ | $C_2$ (as 2T1) | $[2, 2, 4]$ |
2.0.2280.1 | $x^{2} + 570$ | $-\,2^{3}\cdot 3\cdot 5\cdot 19$ | $C_2$ (as 2T1) | $[2, 2, 4]$ |
2.0.2292.1 | $x^{2} + 573$ | $-\,2^{2}\cdot 3\cdot 191$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.2296.1 | $x^{2} + 574$ | $-\,2^{3}\cdot 7\cdot 41$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.2.2305.1 | $x^{2} - x - 576$ | $5\cdot 461$ | $C_2$ (as 2T1) | $[16]$ |