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Galois conjugate representations are grouped into single lines.
Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
---|---|---|---|---|---|---|
35.354...976.70.a.a | $35$ | $ 2^{30} \cdot 3^{50} \cdot 7^{28}$ | 7.3.112021056.1 | $A_7$ | $1$ | $-1$ |
35.294...824.70.a.a | $35$ | $ 2^{30} \cdot 3^{68} \cdot 11^{24}$ | 7.3.50808384.1 | $A_7$ | $1$ | $-1$ |
35.917...416.70.a.a | $35$ | $ 2^{30} \cdot 7^{18} \cdot 73^{24}$ | 7.3.16711744.1 | $A_7$ | $1$ | $-1$ |
35.116...471.70.a.a | $35$ | $ 13^{18} \cdot 17^{15} \cdot 127^{15}$ | 7.1.364871.1 | $S_7$ | $1$ | $1$ |
35.629...343.70.a.a | $35$ | $ 7^{18} \cdot 31^{15} \cdot 353^{15}$ | 7.1.536207.1 | $S_7$ | $1$ | $1$ |
35.103...367.70.a.a | $35$ | $ 7^{15} \cdot 29^{24} \cdot 89^{15}$ | 7.1.523943.1 | $S_7$ | $1$ | $1$ |
35.253...375.70.a.a | $35$ | $ 5^{24} \cdot 37^{15} \cdot 347^{15}$ | 7.1.320975.1 | $S_7$ | $1$ | $1$ |
35.586...151.70.a.a | $35$ | $ 11^{15} \cdot 41^{15} \cdot 461^{15}$ | 7.1.207911.1 | $S_7$ | $1$ | $1$ |
35.119...449.70.a.a | $35$ | $ 7^{18} \cdot 73^{15} \cdot 337^{15}$ | 7.3.1205449.1 | $S_7$ | $1$ | $-1$ |
35.147...143.70.a.a | $35$ | $ 29^{15} \cdot 43^{15} \cdot 241^{15}$ | 7.1.300527.1 | $S_7$ | $1$ | $1$ |
35.578...977.70.a.a | $35$ | $ 3^{18} \cdot 37^{15} \cdot 2381^{15}$ | 7.3.792873.1 | $S_7$ | $1$ | $-1$ |
35.155...375.70.a.a | $35$ | $ 5^{15} \cdot 53^{15} \cdot 1327^{15}$ | 7.1.351655.1 | $S_7$ | $1$ | $1$ |
35.385...943.70.a.a | $35$ | $ 13^{15} \cdot 29^{15} \cdot 991^{15}$ | 7.1.373607.1 | $S_7$ | $1$ | $1$ |
35.514...951.70.a.a | $35$ | $ 11^{15} \cdot 89^{15} \cdot 389^{15}$ | 7.1.380831.1 | $S_7$ | $1$ | $1$ |
35.995...351.70.a.a | $35$ | $ 11^{15} \cdot 97^{15} \cdot 373^{15}$ | 7.1.397991.1 | $S_7$ | $1$ | $1$ |
35.248...191.70.a.a | $35$ | $ 7^{15} \cdot 17^{18} \cdot 2017^{15}$ | 7.5.4080391.1 | $S_7$ | $1$ | $5$ |
35.357...351.70.a.a | $35$ | $ 7^{15} \cdot 101^{15} \cdot 613^{15}$ | 7.1.433391.1 | $S_7$ | $1$ | $1$ |
35.152...807.70.a.a | $35$ | $ 17^{15} \cdot 43^{15} \cdot 653^{15}$ | 7.1.477343.1 | $S_7$ | $1$ | $1$ |
35.235...343.70.a.a | $35$ | $ 11^{15} \cdot 43^{15} \cdot 1039^{15}$ | 7.1.491447.1 | $S_7$ | $1$ | $1$ |
35.153...577.70.a.a | $35$ | $ 13^{24} \cdot 29^{15} \cdot 317^{15}$ | 7.3.1553617.1 | $S_7$ | $1$ | $-1$ |
35.211...743.70.a.a | $35$ | $ 3^{15} \cdot 11^{15} \cdot 17239^{15}$ | 7.1.568887.1 | $S_7$ | $1$ | $1$ |
35.231...889.70.a.a | $35$ | $ 11^{15} \cdot 13^{24} \cdot 859^{15}$ | 7.3.1596881.1 | $S_7$ | $1$ | $-1$ |
35.272...099.70.a.a | $35$ | $ 13^{15} \cdot 191^{15} \cdot 233^{15}$ | 7.1.578539.1 | $S_7$ | $1$ | $1$ |
35.321...943.70.a.a | $35$ | $ 37^{15} \cdot 97^{15} \cdot 163^{15}$ | 7.1.585007.1 | $S_7$ | $1$ | $1$ |
35.421...943.70.a.a | $35$ | $ 41^{15} \cdot 73^{15} \cdot 199^{15}$ | 7.1.595607.1 | $S_7$ | $1$ | $1$ |
35.544...329.126.a.a | $35$ | $ 13^{18} \cdot 17^{20} \cdot 127^{20}$ | 7.1.364871.1 | $S_7$ | $1$ | $-1$ |
35.379...577.70.a.a | $35$ | $ 3^{18} \cdot 109^{15} \cdot 1693^{15}$ | 7.3.1660833.1 | $S_7$ | $1$ | $-1$ |
35.801...857.70.a.a | $35$ | $ 31^{15} \cdot 67^{15} \cdot 349^{15}$ | 7.3.724873.1 | $S_7$ | $1$ | $-1$ |
35.181...449.70.a.a | $35$ | $ 19^{15} \cdot 43^{15} \cdot 937^{15}$ | 7.3.765529.1 | $S_7$ | $1$ | $-1$ |
35.287...849.70.a.a | $35$ | $ 79^{15} \cdot 97^{15} \cdot 103^{15}$ | 7.3.789289.1 | $S_7$ | $1$ | $-1$ |
35.315...457.70.a.a | $35$ | $ 11^{15} \cdot 103^{15} \cdot 701^{15}$ | 7.3.794233.1 | $S_7$ | $1$ | $-1$ |
35.242...449.70.a.a | $35$ | $ 19^{15} \cdot 83^{15} \cdot 577^{15}$ | 7.3.909929.1 | $S_7$ | $1$ | $-1$ |
35.119...257.70.a.a | $35$ | $ 7^{15} \cdot 37^{15} \cdot 3907^{15}$ | 7.3.1011913.1 | $S_7$ | $1$ | $-1$ |
35.283...457.70.a.a | $35$ | $ 43^{15} \cdot 107^{15} \cdot 233^{15}$ | 7.3.1072033.1 | $S_7$ | $1$ | $-1$ |
35.456...901.70.a.a | $35$ | $ 23^{15} \cdot 73^{15} \cdot 659^{15}$ | 7.3.1106461.1 | $S_7$ | $1$ | $-1$ |
35.655...057.70.a.a | $35$ | $ 47^{15} \cdot 89^{15} \cdot 271^{15}$ | 7.3.1133593.1 | $S_7$ | $1$ | $-1$ |
35.971...881.126.a.a | $35$ | $ 7^{20} \cdot 29^{24} \cdot 89^{20}$ | 7.1.523943.1 | $S_7$ | $1$ | $-1$ |
35.165...391.70.a.a | $35$ | $ 3^{17} \cdot 103^{15} \cdot 3371^{15}$ | 7.5.9374751.1 | $S_7$ | $1$ | $5$ |
35.724...849.70.a.a | $35$ | $ 31^{15} \cdot 167^{15} \cdot 257^{15}$ | 7.3.1330489.1 | $S_7$ | $1$ | $-1$ |
35.955...649.70.a.a | $35$ | $ 67^{15} \cdot 113^{15} \cdot 179^{15}$ | 7.3.1355209.1 | $S_7$ | $1$ | $-1$ |
35.238...401.70.a.a | $35$ | $ 13^{15} \cdot 101^{15} \cdot 1097^{15}$ | 7.3.1440361.1 | $S_7$ | $1$ | $-1$ |
35.531...257.70.a.a | $35$ | $ 29^{15} \cdot 151^{15} \cdot 347^{15}$ | 7.3.1519513.1 | $S_7$ | $1$ | $-1$ |
35.559...249.70.a.a | $35$ | $ 7^{15} \cdot 173^{15} \cdot 1259^{15}$ | 7.3.1524649.1 | $S_7$ | $1$ | $-1$ |
35.978...625.70.a.a | $35$ | $ 5^{15} \cdot 307^{15} \cdot 1031^{15}$ | 7.3.1582585.1 | $S_7$ | $1$ | $-1$ |
35.127...249.70.a.a | $35$ | $ 41^{15} \cdot 101^{15} \cdot 389^{15}$ | 7.3.1610849.1 | $S_7$ | $1$ | $-1$ |
35.128...849.70.a.a | $35$ | $ 17^{15} \cdot 53^{15} \cdot 1789^{15}$ | 7.3.1611889.1 | $S_7$ | $1$ | $-1$ |
35.170...249.70.a.a | $35$ | $ 7^{15} \cdot 283^{15} \cdot 829^{15}$ | 7.3.1642249.1 | $S_7$ | $1$ | $-1$ |
35.195...449.70.a.a | $35$ | $ 3^{15} \cdot 233^{15} \cdot 2371^{15}$ | 7.3.1657329.1 | $S_7$ | $1$ | $-1$ |
35.202...393.70.a.a | $35$ | $ 7^{15} \cdot 307^{15} \cdot 773^{15}$ | 7.3.1661177.1 | $S_7$ | $1$ | $-1$ |
35.527...401.70.a.a | $35$ | $ 73^{15} \cdot 127^{15} \cdot 191^{15}$ | 7.3.1770761.1 | $S_7$ | $1$ | $-1$ |