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Galois conjugate representations are grouped into single lines.
| Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
|---|---|---|---|---|---|---|
| 35.272...416.126.a.a | $35$ | $ 2^{96} \cdot 3^{64}$ | 7.1.13436928.1 | $S_7$ | $1$ | $-1$ |
| 35.193...736.126.a.a | $35$ | $ 2^{102} \cdot 3^{62}$ | 7.1.161243136.1 | $S_7$ | $1$ | $-1$ |
| 35.156...016.126.a.a | $35$ | $ 2^{86} \cdot 3^{74}$ | 7.1.60466176.2 | $S_7$ | $1$ | $-1$ |
| 35.317...824.126.a.a | $35$ | $ 2^{84} \cdot 3^{78}$ | 7.1.90699264.1 | $S_7$ | $1$ | $-1$ |
| 35.642...536.126.a.a | $35$ | $ 2^{98} \cdot 3^{74}$ | 7.1.241864704.1 | $S_7$ | $1$ | $-1$ |
| 35.257...144.126.a.a | $35$ | $ 2^{100} \cdot 3^{74}$ | 7.1.60466176.1 | $S_7$ | $1$ | $-1$ |
| 35.102...576.126.a.a | $35$ | $ 2^{102} \cdot 3^{74}$ | 7.1.241864704.2 | $S_7$ | $1$ | $-1$ |
| 35.520...416.126.a.a | $35$ | $ 2^{98} \cdot 3^{78}$ | 7.1.725594112.1 | $S_7$ | $1$ | $-1$ |
| 35.520...416.126.b.a | $35$ | $ 2^{98} \cdot 3^{78}$ | 7.1.1451188224.1 | $S_7$ | $1$ | $-1$ |
| 35.832...656.126.a.a | $35$ | $ 2^{102} \cdot 3^{78}$ | 7.1.90699264.2 | $S_7$ | $1$ | $-1$ |
| 35.351...721.126.a.a | $35$ | $ 23^{20} \cdot 709^{18}$ | 7.5.11561663.1 | $S_7$ | $1$ | $-5$ |
| 35.544...329.126.a.a | $35$ | $ 13^{18} \cdot 17^{20} \cdot 127^{20}$ | 7.1.364871.1 | $S_7$ | $1$ | $-1$ |
| 35.971...881.126.a.a | $35$ | $ 7^{20} \cdot 29^{24} \cdot 89^{20}$ | 7.1.523943.1 | $S_7$ | $1$ | $-1$ |
| 35.504...184.126.a.a | $35$ | $ 2^{54} \cdot 8363^{20}$ | 7.1.535232.1 | $S_7$ | $1$ | $-1$ |
| 35.798...041.126.a.a | $35$ | $ 11^{24} \cdot 3511^{20}$ | 7.1.424831.1 | $S_7$ | $1$ | $-1$ |
| 35.987...449.126.a.a | $35$ | $ 7^{18} \cdot 31^{20} \cdot 353^{20}$ | 7.1.536207.1 | $S_7$ | $1$ | $-1$ |
| 35.403...081.126.a.a | $35$ | $ 53^{24} \cdot 577^{20}$ | 7.3.1620793.1 | $S_7$ | $1$ | $-1$ |
| 35.882...625.126.a.a | $35$ | $ 5^{24} \cdot 37^{20} \cdot 347^{20}$ | 7.1.320975.1 | $S_7$ | $1$ | $-1$ |
| 35.208...401.126.a.a | $35$ | $ 7^{24} \cdot 8951^{20}$ | 7.1.438599.1 | $S_7$ | $1$ | $-1$ |
| 35.911...561.126.a.a | $35$ | $ 3^{48} \cdot 7127^{20}$ | 7.1.577287.1 | $S_7$ | $1$ | $-1$ |
| 35.114...361.126.a.a | $35$ | $ 3^{48} \cdot 7207^{20}$ | 7.1.583767.1 | $S_7$ | $1$ | $-1$ |
| 35.487...081.126.a.a | $35$ | $ 11^{18} \cdot 14033^{20}$ | 7.3.1697993.1 | $S_7$ | $1$ | $-1$ |
| 35.273...921.126.a.a | $35$ | $ 191^{20} \cdot 233^{24}$ | 7.5.10369199.1 | $S_7$ | $1$ | $-5$ |
| 35.409...841.126.a.a | $35$ | $ 23^{24} \cdot 3137^{20}$ | 7.3.1659473.1 | $S_7$ | $1$ | $-1$ |
| 35.107...449.126.a.a | $35$ | $ 7^{18} \cdot 73^{20} \cdot 337^{20}$ | 7.3.1205449.1 | $S_7$ | $1$ | $-1$ |
| 35.443...849.126.a.a | $35$ | $ 7^{18} \cdot 29633^{20}$ | 7.3.1452017.1 | $S_7$ | $1$ | $-1$ |
| 35.139...409.126.a.a | $35$ | $ 7^{20} \cdot 17^{18} \cdot 2017^{20}$ | 7.5.4080391.1 | $S_7$ | $1$ | $-5$ |
| 35.211...001.126.a.a | $35$ | $ 184607^{20}$ | 7.1.184607.1 | $S_7$ | $1$ | $-1$ |
| 35.459...481.126.a.a | $35$ | $ 3^{44} \cdot 17117^{20}$ | 7.1.462159.1 | $S_7$ | $1$ | $-1$ |
| 35.531...201.126.a.a | $35$ | $ 193327^{20}$ | 7.1.193327.1 | $S_7$ | $1$ | $-1$ |
| 35.547...001.126.a.a | $35$ | $ 193607^{20}$ | 7.1.193607.1 | $S_7$ | $1$ | $-1$ |
| 35.709...201.126.a.a | $35$ | $ 29^{20} \cdot 6763^{20}$ | 7.1.196127.1 | $S_7$ | $1$ | $-1$ |
| 35.100...801.126.a.a | $35$ | $ 199559^{20}$ | 7.1.199559.1 | $S_7$ | $1$ | $-1$ |
| 35.100...361.126.a.a | $35$ | $ 13^{24} \cdot 29^{20} \cdot 317^{20}$ | 7.3.1553617.1 | $S_7$ | $1$ | $-1$ |
| 35.123...401.126.a.a | $35$ | $ 17^{20} \cdot 11863^{20}$ | 7.1.201671.1 | $S_7$ | $1$ | $-1$ |
| 35.134...401.126.a.a | $35$ | $ 202471^{20}$ | 7.1.202471.1 | $S_7$ | $1$ | $-1$ |
| 35.174...361.126.a.a | $35$ | $ 11^{20} \cdot 13^{24} \cdot 859^{20}$ | 7.3.1596881.1 | $S_7$ | $1$ | $-1$ |
| 35.227...201.126.a.a | $35$ | $ 11^{20} \cdot 41^{20} \cdot 461^{20}$ | 7.1.207911.1 | $S_7$ | $1$ | $-1$ |
| 35.330...601.126.a.a | $35$ | $ 19^{20} \cdot 11149^{20}$ | 7.1.211831.1 | $S_7$ | $1$ | $-1$ |
| 35.429...001.126.a.a | $35$ | $ 214607^{20}$ | 7.1.214607.1 | $S_7$ | $1$ | $-1$ |
| 35.107...401.126.a.a | $35$ | $ 277^{20} \cdot 811^{20}$ | 7.1.224647.1 | $S_7$ | $1$ | $-1$ |
| 35.135...801.126.a.a | $35$ | $ 167^{20} \cdot 1361^{20}$ | 7.1.227287.1 | $S_7$ | $1$ | $-1$ |
| 35.307...089.126.a.a | $35$ | $ 3^{18} \cdot 37^{20} \cdot 2381^{20}$ | 7.3.792873.1 | $S_7$ | $1$ | $-1$ |
| 35.333...001.126.a.a | $35$ | $ 23^{20} \cdot 10337^{20}$ | 7.1.237751.1 | $S_7$ | $1$ | $-1$ |
| 35.480...401.126.a.a | $35$ | $ 242147^{20}$ | 7.1.242147.1 | $S_7$ | $1$ | $-1$ |
| 35.514...401.126.a.a | $35$ | $ 242971^{20}$ | 7.1.242971.1 | $S_7$ | $1$ | $-1$ |
| 35.936...601.126.a.a | $35$ | $ 13^{20} \cdot 19259^{20}$ | 7.1.250367.1 | $S_7$ | $1$ | $-1$ |
| 35.107...401.126.a.a | $35$ | $ 83^{20} \cdot 3037^{20}$ | 7.1.252071.1 | $S_7$ | $1$ | $-1$ |
| 35.230...401.126.a.a | $35$ | $ 307^{20} \cdot 853^{20}$ | 7.1.261871.1 | $S_7$ | $1$ | $-1$ |
| 35.347...401.126.a.a | $35$ | $ 101^{20} \cdot 2647^{20}$ | 7.1.267347.1 | $S_7$ | $1$ | $-1$ |