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Results (displaying matches 1-50 of at least 1000) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 2.0.1003.1 | x2 - x + 251 | \( -\,17\cdot 59 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.1007.1 | x2 - x + 252 | \( -\,19\cdot 53 \) | $C_2$ (as 2T1) | $[30]$ |
| 2.0.1011.1 | x2 - x + 253 | \( -\,3\cdot 337 \) | $C_2$ (as 2T1) | $[12]$ |
| 2.0.1012.1 | x2 + 253 | \( -\,2^{2}\cdot 11\cdot 23 \) | $C_2$ (as 2T1) | $[2, 2]$ |
| 2.0.1015.1 | x2 - x + 254 | \( -\,5\cdot 7\cdot 29 \) | $C_2$ (as 2T1) | $[2, 8]$ |
| 2.0.1016.1 | x2 + 254 | \( -\,2^{3}\cdot 127 \) | $C_2$ (as 2T1) | $[16]$ |
| 2.0.1019.1 | x2 - x + 255 | \( -\,1019 \) | $C_2$ (as 2T1) | $[13]$ |
| 2.0.1023.1 | x2 - x + 256 | \( -\,3\cdot 11\cdot 31 \) | $C_2$ (as 2T1) | $[2, 8]$ |
| 2.0.1027.1 | x2 - x + 257 | \( -\,13\cdot 79 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.1028.1 | x2 + 257 | \( -\,2^{2}\cdot 257 \) | $C_2$ (as 2T1) | $[16]$ |
| 2.0.1031.1 | x2 - x + 258 | \( -\,1031 \) | $C_2$ (as 2T1) | $[35]$ |
| 2.0.1032.1 | x2 + 258 | \( -\,2^{3}\cdot 3\cdot 43 \) | $C_2$ (as 2T1) | $[2, 4]$ |
| 2.0.1039.1 | x2 - x + 260 | \( -\,1039 \) | $C_2$ (as 2T1) | $[23]$ |
| 2.0.1043.1 | x2 - x + 261 | \( -\,7\cdot 149 \) | $C_2$ (as 2T1) | $[8]$ |
| 2.0.1047.1 | x2 - x + 262 | \( -\,3\cdot 349 \) | $C_2$ (as 2T1) | $[16]$ |
| 2.0.1048.1 | x2 + 262 | \( -\,2^{3}\cdot 131 \) | $C_2$ (as 2T1) | $[6]$ |
| 2.0.1051.1 | x2 - x + 263 | \( -\,1051 \) | $C_2$ (as 2T1) | $[5]$ |
| 2.0.1055.1 | x2 - x + 264 | \( -\,5\cdot 211 \) | $C_2$ (as 2T1) | $[36]$ |
| 2.0.1059.1 | x2 - x + 265 | \( -\,3\cdot 353 \) | $C_2$ (as 2T1) | $[6]$ |
| 2.0.1060.1 | x2 + 265 | \( -\,2^{2}\cdot 5\cdot 53 \) | $C_2$ (as 2T1) | $[2, 4]$ |
| 2.0.1063.1 | x2 - x + 266 | \( -\,1063 \) | $C_2$ (as 2T1) | $[19]$ |
| 2.0.1064.1 | x2 + 266 | \( -\,2^{3}\cdot 7\cdot 19 \) | $C_2$ (as 2T1) | $[2, 10]$ |
| 2.0.1067.1 | x2 - x + 267 | \( -\,11\cdot 97 \) | $C_2$ (as 2T1) | $[12]$ |
| 2.0.1076.1 | x2 + 269 | \( -\,2^{2}\cdot 269 \) | $C_2$ (as 2T1) | $[22]$ |
| 2.0.1079.1 | x2 - x + 270 | \( -\,13\cdot 83 \) | $C_2$ (as 2T1) | $[34]$ |
| 2.0.1087.1 | x2 - x + 272 | \( -\,1087 \) | $C_2$ (as 2T1) | $[9]$ |
| 2.0.1091.1 | x2 - x + 273 | \( -\,1091 \) | $C_2$ (as 2T1) | $[17]$ |
| 2.0.1092.1 | x2 + 273 | \( -\,2^{2}\cdot 3\cdot 7\cdot 13 \) | $C_2$ (as 2T1) | $[2, 2, 2]$ |
| 2.0.1095.1 | x2 - x + 274 | \( -\,3\cdot 5\cdot 73 \) | $C_2$ (as 2T1) | $[2, 14]$ |
| 2.0.1096.1 | x2 + 274 | \( -\,2^{3}\cdot 137 \) | $C_2$ (as 2T1) | $[12]$ |
| 2.0.1099.1 | x2 - x + 275 | \( -\,7\cdot 157 \) | $C_2$ (as 2T1) | $[6]$ |
| 2.0.1103.1 | x2 - x + 276 | \( -\,1103 \) | $C_2$ (as 2T1) | $[23]$ |
| 2.0.1108.1 | x2 + 277 | \( -\,2^{2}\cdot 277 \) | $C_2$ (as 2T1) | $[6]$ |
| 2.0.1111.1 | x2 - x + 278 | \( -\,11\cdot 101 \) | $C_2$ (as 2T1) | $[22]$ |
| 2.0.1112.1 | x2 + 278 | \( -\,2^{3}\cdot 139 \) | $C_2$ (as 2T1) | $[14]$ |
| 2.0.1115.1 | x2 - x + 279 | \( -\,5\cdot 223 \) | $C_2$ (as 2T1) | $[10]$ |
| 2.0.1119.1 | x2 - x + 280 | \( -\,3\cdot 373 \) | $C_2$ (as 2T1) | $[32]$ |
| 2.0.1123.1 | x2 - x + 281 | \( -\,1123 \) | $C_2$ (as 2T1) | $[5]$ |
| 2.0.1124.1 | x2 + 281 | \( -\,2^{2}\cdot 281 \) | $C_2$ (as 2T1) | $[20]$ |
| 2.0.1128.1 | x2 + 282 | \( -\,2^{3}\cdot 3\cdot 47 \) | $C_2$ (as 2T1) | $[2, 4]$ |
| 2.0.1131.1 | x2 - x + 283 | \( -\,3\cdot 13\cdot 29 \) | $C_2$ (as 2T1) | $[2, 4]$ |
| 2.0.1135.1 | x2 - x + 284 | \( -\,5\cdot 227 \) | $C_2$ (as 2T1) | $[18]$ |
| 2.0.1139.1 | x2 - x + 285 | \( -\,17\cdot 67 \) | $C_2$ (as 2T1) | $[16]$ |
| 2.0.1140.1 | x2 + 285 | \( -\,2^{2}\cdot 3\cdot 5\cdot 19 \) | $C_2$ (as 2T1) | $[2, 2, 4]$ |
| 2.0.1144.1 | x2 + 286 | \( -\,2^{3}\cdot 11\cdot 13 \) | $C_2$ (as 2T1) | $[2, 6]$ |
| 2.0.1147.1 | x2 - x + 287 | \( -\,31\cdot 37 \) | $C_2$ (as 2T1) | $[6]$ |
| 2.0.1151.1 | x2 - x + 288 | \( -\,1151 \) | $C_2$ (as 2T1) | $[41]$ |
| 2.0.1155.1 | x2 - x + 289 | \( -\,3\cdot 5\cdot 7\cdot 11 \) | $C_2$ (as 2T1) | $[2, 2, 2]$ |
| 2.0.1159.1 | x2 - x + 290 | \( -\,19\cdot 61 \) | $C_2$ (as 2T1) | $[16]$ |
| 2.0.1160.1 | x2 + 290 | \( -\,2^{3}\cdot 5\cdot 29 \) | $C_2$ (as 2T1) | $[2, 10]$ |
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