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Galois conjugate representations are grouped into single lines.
| Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
|---|---|---|---|---|---|---|
| 35.206...384.70.a.a | $35$ | $ 2^{75} \cdot 3^{77}$ | 7.1.90699264.1 | $S_7$ | $1$ | $1$ |
| 35.245...344.70.a.a | $35$ | $ 2^{80} \cdot 3^{74}$ | 7.1.60466176.2 | $S_7$ | $1$ | $1$ |
| 35.217...328.70.a.a | $35$ | $ 2^{99} \cdot 3^{64}$ | 7.1.13436928.1 | $S_7$ | $1$ | $1$ |
| 35.515...296.70.a.a | $35$ | $ 2^{105} \cdot 3^{61}$ | 7.1.161243136.1 | $S_7$ | $1$ | $1$ |
| 35.160...384.70.a.a | $35$ | $ 2^{96} \cdot 3^{74}$ | 7.1.60466176.1 | $S_7$ | $1$ | $1$ |
| 35.542...296.70.a.a | $35$ | $ 2^{93} \cdot 3^{77}$ | 7.1.90699264.2 | $S_7$ | $1$ | $1$ |
| 35.642...536.70.a.a | $35$ | $ 2^{98} \cdot 3^{74}$ | 7.1.241864704.1 | $S_7$ | $1$ | $1$ |
| 35.257...144.70.a.a | $35$ | $ 2^{100} \cdot 3^{74}$ | 7.1.241864704.2 | $S_7$ | $1$ | $1$ |
| 35.867...736.70.a.a | $35$ | $ 2^{97} \cdot 3^{77}$ | 7.1.1451188224.1 | $S_7$ | $1$ | $1$ |
| 35.173...472.70.a.a | $35$ | $ 2^{98} \cdot 3^{77}$ | 7.1.725594112.1 | $S_7$ | $1$ | $1$ |
| 35.116...471.70.a.a | $35$ | $ 13^{18} \cdot 17^{15} \cdot 127^{15}$ | 7.1.364871.1 | $S_7$ | $1$ | $1$ |
| 35.546...247.70.a.a | $35$ | $ 23^{15} \cdot 709^{18}$ | 7.5.11561663.1 | $S_7$ | $1$ | $5$ |
| 35.123...888.70.a.a | $35$ | $ 2^{54} \cdot 8363^{15}$ | 7.1.535232.1 | $S_7$ | $1$ | $1$ |
| 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 | $S_7$ | $1$ | $1$ |
| 35.149...991.70.a.a | $35$ | $ 11^{24} \cdot 3511^{15}$ | 7.1.424831.1 | $S_7$ | $1$ | $1$ |
| 35.253...375.70.a.a | $35$ | $ 5^{24} \cdot 37^{15} \cdot 347^{15}$ | 7.1.320975.1 | $S_7$ | $1$ | $1$ |
| 35.985...943.70.a.a | $35$ | $ 184607^{15}$ | 7.1.184607.1 | $S_7$ | $1$ | $1$ |
| 35.196...143.70.a.a | $35$ | $ 193327^{15}$ | 7.1.193327.1 | $S_7$ | $1$ | $1$ |
| 35.201...943.70.a.a | $35$ | $ 193607^{15}$ | 7.1.193607.1 | $S_7$ | $1$ | $1$ |
| 35.244...143.70.a.a | $35$ | $ 29^{15} \cdot 6763^{15}$ | 7.1.196127.1 | $S_7$ | $1$ | $1$ |
| 35.317...399.70.a.a | $35$ | $ 199559^{15}$ | 7.1.199559.1 | $S_7$ | $1$ | $1$ |
| 35.363...151.70.a.a | $35$ | $ 7^{24} \cdot 8951^{15}$ | 7.1.438599.1 | $S_7$ | $1$ | $1$ |
| 35.371...551.70.a.a | $35$ | $ 17^{15} \cdot 11863^{15}$ | 7.1.201671.1 | $S_7$ | $1$ | $1$ |
| 35.393...551.70.a.a | $35$ | $ 202471^{15}$ | 7.1.202471.1 | $S_7$ | $1$ | $1$ |
| 35.586...151.70.a.a | $35$ | $ 11^{15} \cdot 41^{15} \cdot 461^{15}$ | 7.1.207911.1 | $S_7$ | $1$ | $1$ |
| 35.775...951.70.a.a | $35$ | $ 19^{15} \cdot 11149^{15}$ | 7.1.211831.1 | $S_7$ | $1$ | $1$ |
| 35.943...943.70.a.a | $35$ | $ 214607^{15}$ | 7.1.214607.1 | $S_7$ | $1$ | $1$ |
| 35.187...343.70.a.a | $35$ | $ 277^{15} \cdot 811^{15}$ | 7.1.224647.1 | $S_7$ | $1$ | $1$ |
| 35.223...743.70.a.a | $35$ | $ 167^{15} \cdot 1361^{15}$ | 7.1.227287.1 | $S_7$ | $1$ | $1$ |
| 35.438...751.70.a.a | $35$ | $ 23^{15} \cdot 10337^{15}$ | 7.1.237751.1 | $S_7$ | $1$ | $1$ |
| 35.495...623.70.a.a | $35$ | $ 3^{48} \cdot 7127^{15}$ | 7.1.577287.1 | $S_7$ | $1$ | $1$ |
| 35.577...843.70.a.a | $35$ | $ 242147^{15}$ | 7.1.242147.1 | $S_7$ | $1$ | $1$ |
| 35.586...423.70.a.a | $35$ | $ 3^{48} \cdot 7207^{15}$ | 7.1.583767.1 | $S_7$ | $1$ | $1$ |
| 35.607...051.70.a.a | $35$ | $ 242971^{15}$ | 7.1.242971.1 | $S_7$ | $1$ | $1$ |
| 35.952...543.70.a.a | $35$ | $ 13^{15} \cdot 19259^{15}$ | 7.1.250367.1 | $S_7$ | $1$ | $1$ |
| 35.105...551.70.a.a | $35$ | $ 83^{15} \cdot 3037^{15}$ | 7.1.252071.1 | $S_7$ | $1$ | $1$ |
| 35.186...551.70.a.a | $35$ | $ 307^{15} \cdot 853^{15}$ | 7.1.261871.1 | $S_7$ | $1$ | $1$ |
| 35.254...843.70.a.a | $35$ | $ 101^{15} \cdot 2647^{15}$ | 7.1.267347.1 | $S_7$ | $1$ | $1$ |
| 35.305...943.70.a.a | $35$ | $ 461^{15} \cdot 587^{15}$ | 7.1.270607.1 | $S_7$ | $1$ | $1$ |
| 35.342...551.70.a.a | $35$ | $ 7^{15} \cdot 38953^{15}$ | 7.1.272671.1 | $S_7$ | $1$ | $1$ |
| 35.605...607.70.a.a | $35$ | $ 61^{15} \cdot 4643^{15}$ | 7.1.283223.1 | $S_7$ | $1$ | $1$ |
| 35.727...151.70.a.a | $35$ | $ 286711^{15}$ | 7.1.286711.1 | $S_7$ | $1$ | $1$ |
| 35.855...951.70.a.a | $35$ | $ 109^{15} \cdot 2659^{15}$ | 7.1.289831.1 | $S_7$ | $1$ | $1$ |
| 35.862...243.70.a.a | $35$ | $ 289987^{15}$ | 7.1.289987.1 | $S_7$ | $1$ | $1$ |
| 35.128...231.70.a.a | $35$ | $ 3^{39} \cdot 17117^{15}$ | 7.1.462159.1 | $S_7$ | $1$ | $1$ |
| 35.147...143.70.a.a | $35$ | $ 29^{15} \cdot 43^{15} \cdot 241^{15}$ | 7.1.300527.1 | $S_7$ | $1$ | $1$ |
| 35.247...551.70.a.a | $35$ | $ 277^{15} \cdot 1123^{15}$ | 7.1.311071.1 | $S_7$ | $1$ | $1$ |
| 35.307...951.70.a.a | $35$ | $ 315631^{15}$ | 7.1.315631.1 | $S_7$ | $1$ | $1$ |
| 35.330...399.70.a.a | $35$ | $ 317159^{15}$ | 7.1.317159.1 | $S_7$ | $1$ | $1$ |