Refine search
Galois conjugate representations are grouped into single lines.
| Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
|---|---|---|---|---|---|---|
| 6.207911.7t7.a.a | $6$ | $ 11 \cdot 41 \cdot 461 $ | 7.1.207911.1 | $S_7$ | $1$ | $0$ |
| 6.300527.7t7.a.a | $6$ | $ 29 \cdot 43 \cdot 241 $ | 7.1.300527.1 | $S_7$ | $1$ | $0$ |
| 6.320975.7t7.a.a | $6$ | $ 5^{2} \cdot 37 \cdot 347 $ | 7.1.320975.1 | $S_7$ | $1$ | $0$ |
| 6.351655.7t7.a.a | $6$ | $ 5 \cdot 53 \cdot 1327 $ | 7.1.351655.1 | $S_7$ | $1$ | $0$ |
| 6.364871.7t7.a.a | $6$ | $ 13^{2} \cdot 17 \cdot 127 $ | 7.1.364871.1 | $S_7$ | $1$ | $0$ |
| 6.373607.7t7.a.a | $6$ | $ 13 \cdot 29 \cdot 991 $ | 7.1.373607.1 | $S_7$ | $1$ | $0$ |
| 6.380831.7t7.a.a | $6$ | $ 11 \cdot 89 \cdot 389 $ | 7.1.380831.1 | $S_7$ | $1$ | $0$ |
| 6.397991.7t7.a.a | $6$ | $ 11 \cdot 97 \cdot 373 $ | 7.1.397991.1 | $S_7$ | $1$ | $0$ |
| 6.433391.7t7.a.a | $6$ | $ 7 \cdot 101 \cdot 613 $ | 7.1.433391.1 | $S_7$ | $1$ | $0$ |
| 6.477343.7t7.a.a | $6$ | $ 17 \cdot 43 \cdot 653 $ | 7.1.477343.1 | $S_7$ | $1$ | $0$ |
| 6.491447.7t7.a.a | $6$ | $ 11 \cdot 43 \cdot 1039 $ | 7.1.491447.1 | $S_7$ | $1$ | $0$ |
| 6.523943.7t7.a.a | $6$ | $ 7 \cdot 29^{2} \cdot 89 $ | 7.1.523943.1 | $S_7$ | $1$ | $0$ |
| 6.536207.7t7.a.a | $6$ | $ 7^{2} \cdot 31 \cdot 353 $ | 7.1.536207.1 | $S_7$ | $1$ | $0$ |
| 6.568887.7t7.a.a | $6$ | $ 3 \cdot 11 \cdot 17239 $ | 7.1.568887.1 | $S_7$ | $1$ | $0$ |
| 6.578539.7t7.a.a | $6$ | $ 13 \cdot 191 \cdot 233 $ | 7.1.578539.1 | $S_7$ | $1$ | $0$ |
| 6.585007.7t7.a.a | $6$ | $ 37 \cdot 97 \cdot 163 $ | 7.1.585007.1 | $S_7$ | $1$ | $0$ |
| 6.595607.7t7.a.a | $6$ | $ 41 \cdot 73 \cdot 199 $ | 7.1.595607.1 | $S_7$ | $1$ | $0$ |
| 6.724873.7t7.a.a | $6$ | $ 31 \cdot 67 \cdot 349 $ | 7.3.724873.1 | $S_7$ | $1$ | $2$ |
| 6.765529.7t7.a.a | $6$ | $ 19 \cdot 43 \cdot 937 $ | 7.3.765529.1 | $S_7$ | $1$ | $2$ |
| 6.789289.7t7.a.a | $6$ | $ 79 \cdot 97 \cdot 103 $ | 7.3.789289.1 | $S_7$ | $1$ | $2$ |
| 6.792873.7t7.a.a | $6$ | $ 3^{2} \cdot 37 \cdot 2381 $ | 7.3.792873.1 | $S_7$ | $1$ | $2$ |
| 6.794233.7t7.a.a | $6$ | $ 11 \cdot 103 \cdot 701 $ | 7.3.794233.1 | $S_7$ | $1$ | $2$ |
| 6.909929.7t7.a.a | $6$ | $ 19 \cdot 83 \cdot 577 $ | 7.3.909929.1 | $S_7$ | $1$ | $2$ |
| 6.1011913.7t7.a.a | $6$ | $ 7 \cdot 37 \cdot 3907 $ | 7.3.1011913.1 | $S_7$ | $1$ | $2$ |
| 6.1072033.7t7.a.a | $6$ | $ 43 \cdot 107 \cdot 233 $ | 7.3.1072033.1 | $S_7$ | $1$ | $2$ |
| 6.1106461.7t7.a.a | $6$ | $ 23 \cdot 73 \cdot 659 $ | 7.3.1106461.1 | $S_7$ | $1$ | $2$ |
| 6.1133593.7t7.a.a | $6$ | $ 47 \cdot 89 \cdot 271 $ | 7.3.1133593.1 | $S_7$ | $1$ | $2$ |
| 6.1205449.7t7.a.a | $6$ | $ 7^{2} \cdot 73 \cdot 337 $ | 7.3.1205449.1 | $S_7$ | $1$ | $2$ |
| 6.1330489.7t7.a.a | $6$ | $ 31 \cdot 167 \cdot 257 $ | 7.3.1330489.1 | $S_7$ | $1$ | $2$ |
| 6.1355209.7t7.a.a | $6$ | $ 67 \cdot 113 \cdot 179 $ | 7.3.1355209.1 | $S_7$ | $1$ | $2$ |
| 6.1440361.7t7.a.a | $6$ | $ 13 \cdot 101 \cdot 1097 $ | 7.3.1440361.1 | $S_7$ | $1$ | $2$ |
| 6.1519513.7t7.a.a | $6$ | $ 29 \cdot 151 \cdot 347 $ | 7.3.1519513.1 | $S_7$ | $1$ | $2$ |
| 6.1524649.7t7.a.a | $6$ | $ 7 \cdot 173 \cdot 1259 $ | 7.3.1524649.1 | $S_7$ | $1$ | $2$ |
| 6.1553617.7t7.a.a | $6$ | $ 13^{2} \cdot 29 \cdot 317 $ | 7.3.1553617.1 | $S_7$ | $1$ | $2$ |
| 6.1582585.7t7.a.a | $6$ | $ 5 \cdot 307 \cdot 1031 $ | 7.3.1582585.1 | $S_7$ | $1$ | $2$ |
| 6.1596881.7t7.a.a | $6$ | $ 11 \cdot 13^{2} \cdot 859 $ | 7.3.1596881.1 | $S_7$ | $1$ | $2$ |
| 6.1610849.7t7.a.a | $6$ | $ 41 \cdot 101 \cdot 389 $ | 7.3.1610849.1 | $S_7$ | $1$ | $2$ |
| 6.1611889.7t7.a.a | $6$ | $ 17 \cdot 53 \cdot 1789 $ | 7.3.1611889.1 | $S_7$ | $1$ | $2$ |
| 6.1642249.7t7.a.a | $6$ | $ 7 \cdot 283 \cdot 829 $ | 7.3.1642249.1 | $S_7$ | $1$ | $2$ |
| 6.1657329.7t7.a.a | $6$ | $ 3 \cdot 233 \cdot 2371 $ | 7.3.1657329.1 | $S_7$ | $1$ | $2$ |
| 6.1660833.7t7.a.a | $6$ | $ 3^{2} \cdot 109 \cdot 1693 $ | 7.3.1660833.1 | $S_7$ | $1$ | $2$ |
| 6.1661177.7t7.a.a | $6$ | $ 7 \cdot 307 \cdot 773 $ | 7.3.1661177.1 | $S_7$ | $1$ | $2$ |
| 6.1770761.7t7.a.a | $6$ | $ 73 \cdot 127 \cdot 191 $ | 7.3.1770761.1 | $S_7$ | $1$ | $2$ |
| 6.1781849.7t7.a.a | $6$ | $ 31 \cdot 229 \cdot 251 $ | 7.3.1781849.1 | $S_7$ | $1$ | $2$ |
| 6.2027375.8t47.a.a | $6$ | $ 5^{3} \cdot 7^{2} \cdot 331 $ | 8.2.10136875.1 | $S_4\wr C_2$ | $1$ | $0$ |
| 6.2369207.7t7.a.a | $6$ | $ 23 \cdot 239 \cdot 431 $ | 7.5.2369207.1 | $S_7$ | $1$ | $4$ |
| 6.2472128.9t31.a.a | $6$ | $ 2^{6} \cdot 19^{2} \cdot 107 $ | 9.1.187881728.1 | $S_3\wr S_3$ | $1$ | $0$ |
| 6.2790047.7t7.a.a | $6$ | $ 13 \cdot 157 \cdot 1367 $ | 7.5.2790047.1 | $S_7$ | $1$ | $4$ |
| 6.2853875.8t47.a.a | $6$ | $ 5^{3} \cdot 17^{2} \cdot 79 $ | 8.2.14269375.1 | $S_4\wr C_2$ | $1$ | $0$ |
| 6.3003175.9t31.a.a | $6$ | $ 5^{2} \cdot 7 \cdot 131^{2}$ | 9.1.1967079625.1 | $S_3\wr S_3$ | $1$ | $0$ |