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NextGalois conjugate representations are grouped into single lines.
| Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
|---|---|---|---|---|---|---|
| 20.213...816.70.a.a | $20$ | $ 2^{60} \cdot 3^{32}$ | 7.1.13436928.1 | $S_7$ | $1$ | $0$ |
| 20.342...456.70.a.a | $20$ | $ 2^{48} \cdot 3^{40}$ | 7.1.90699264.1 | $S_7$ | $1$ | $0$ |
| 20.854...264.70.a.a | $20$ | $ 2^{62} \cdot 3^{32}$ | 7.1.161243136.1 | $S_7$ | $1$ | $0$ |
| 20.136...824.70.a.a | $20$ | $ 2^{50} \cdot 3^{40}$ | 7.1.60466176.2 | $S_7$ | $1$ | $0$ |
| 20.140...776.70.a.a | $20$ | $ 2^{60} \cdot 3^{40}$ | 7.1.1451188224.1 | $S_7$ | $1$ | $0$ |
| 20.140...776.70.b.a | $20$ | $ 2^{60} \cdot 3^{40}$ | 7.1.90699264.2 | $S_7$ | $1$ | $0$ |
| 20.560...104.70.a.a | $20$ | $ 2^{62} \cdot 3^{40}$ | 7.1.60466176.1 | $S_7$ | $1$ | $0$ |
| 20.560...104.70.b.a | $20$ | $ 2^{62} \cdot 3^{40}$ | 7.1.241864704.1 | $S_7$ | $1$ | $0$ |
| 20.560...104.70.c.a | $20$ | $ 2^{62} \cdot 3^{40}$ | 7.1.241864704.2 | $S_7$ | $1$ | $0$ |
| 20.224...416.70.a.a | $20$ | $ 2^{64} \cdot 3^{40}$ | 7.1.725594112.1 | $S_7$ | $1$ | $0$ |
| 20.311...609.70.a.a | $20$ | $ 7^{10} \cdot 29^{12} \cdot 89^{10}$ | 7.1.523943.1 | $S_7$ | $1$ | $0$ |
| 20.512...881.70.a.a | $20$ | $ 13^{12} \cdot 17^{10} \cdot 127^{10}$ | 7.1.364871.1 | $S_7$ | $1$ | $0$ |
| 20.668...569.70.a.a | $20$ | $ 23^{10} \cdot 709^{12}$ | 7.5.11561663.1 | $S_7$ | $1$ | $0$ |
| 20.893...321.70.a.a | $20$ | $ 11^{12} \cdot 3511^{10}$ | 7.1.424831.1 | $S_7$ | $1$ | $0$ |
| 20.200...009.70.a.a | $20$ | $ 53^{12} \cdot 577^{10}$ | 7.3.1620793.1 | $S_7$ | $1$ | $-4$ |
| 20.297...625.70.a.a | $20$ | $ 5^{12} \cdot 37^{10} \cdot 347^{10}$ | 7.1.320975.1 | $S_7$ | $1$ | $0$ |
| 20.456...201.70.a.a | $20$ | $ 7^{12} \cdot 8951^{10}$ | 7.1.438599.1 | $S_7$ | $1$ | $0$ |
| 20.954...169.70.a.a | $20$ | $ 3^{24} \cdot 7127^{10}$ | 7.1.577287.1 | $S_7$ | $1$ | $0$ |
| 20.106...769.70.a.a | $20$ | $ 3^{24} \cdot 7207^{10}$ | 7.1.583767.1 | $S_7$ | $1$ | $0$ |
| 20.115...864.70.a.a | $20$ | $ 2^{36} \cdot 8363^{10}$ | 7.1.535232.1 | $S_7$ | $1$ | $0$ |
| 20.340...049.70.a.a | $20$ | $ 7^{12} \cdot 31^{10} \cdot 353^{10}$ | 7.1.536207.1 | $S_7$ | $1$ | $0$ |
| 20.141...536.40t942.a.a | $20$ | $ 2^{26} \cdot 11^{14} \cdot 113^{14}$ | 10.10.152779290393664.1 | $C_2^4 : A_5$ | $1$ | $20$ |
| 20.165...161.70.a.a | $20$ | $ 191^{10} \cdot 233^{12}$ | 7.5.10369199.1 | $S_7$ | $1$ | $0$ |
| 20.202...529.70.a.a | $20$ | $ 23^{12} \cdot 3137^{10}$ | 7.3.1659473.1 | $S_7$ | $1$ | $-4$ |
| 20.459...249.70.a.a | $20$ | $ 184607^{10}$ | 7.1.184607.1 | $S_7$ | $1$ | $0$ |
| 20.677...441.70.a.a | $20$ | $ 3^{22} \cdot 17117^{10}$ | 7.1.462159.1 | $S_7$ | $1$ | $0$ |
| 20.729...649.70.a.a | $20$ | $ 193327^{10}$ | 7.1.193327.1 | $S_7$ | $1$ | $0$ |
| 20.739...249.70.a.a | $20$ | $ 193607^{10}$ | 7.1.193607.1 | $S_7$ | $1$ | $0$ |
| 20.842...649.70.a.a | $20$ | $ 29^{10} \cdot 6763^{10}$ | 7.1.196127.1 | $S_7$ | $1$ | $0$ |
| 20.100...401.70.a.a | $20$ | $ 199559^{10}$ | 7.1.199559.1 | $S_7$ | $1$ | $0$ |
| 20.100...769.70.a.a | $20$ | $ 13^{12} \cdot 29^{10} \cdot 317^{10}$ | 7.3.1553617.1 | $S_7$ | $1$ | $-4$ |
| 20.111...201.70.a.a | $20$ | $ 17^{10} \cdot 11863^{10}$ | 7.1.201671.1 | $S_7$ | $1$ | $0$ |
| 20.115...201.70.a.a | $20$ | $ 202471^{10}$ | 7.1.202471.1 | $S_7$ | $1$ | $0$ |
| 20.126...992.40t1676.a.a | $20$ | $ 2^{40} \cdot 36497^{9}$ | 10.10.1363999753216.1 | $(C_2^4:A_5) : C_2$ | $1$ | $20$ |
| 20.132...481.70.a.a | $20$ | $ 11^{10} \cdot 13^{12} \cdot 859^{10}$ | 7.3.1596881.1 | $S_7$ | $1$ | $-4$ |
| 20.150...601.70.a.a | $20$ | $ 11^{10} \cdot 41^{10} \cdot 461^{10}$ | 7.1.207911.1 | $S_7$ | $1$ | $0$ |
| 20.181...801.70.a.a | $20$ | $ 19^{10} \cdot 11149^{10}$ | 7.1.211831.1 | $S_7$ | $1$ | $0$ |
| 20.207...249.70.a.a | $20$ | $ 214607^{10}$ | 7.1.214607.1 | $S_7$ | $1$ | $0$ |
| 20.327...049.70.a.a | $20$ | $ 277^{10} \cdot 811^{10}$ | 7.1.224647.1 | $S_7$ | $1$ | $0$ |
| 20.367...849.70.a.a | $20$ | $ 167^{10} \cdot 1361^{10}$ | 7.1.227287.1 | $S_7$ | $1$ | $0$ |
| 20.577...001.70.a.a | $20$ | $ 23^{10} \cdot 10337^{10}$ | 7.1.237751.1 | $S_7$ | $1$ | $0$ |
| 20.693...049.70.a.a | $20$ | $ 242147^{10}$ | 7.1.242147.1 | $S_7$ | $1$ | $0$ |
| 20.717...201.70.a.a | $20$ | $ 242971^{10}$ | 7.1.242971.1 | $S_7$ | $1$ | $0$ |
| 20.929...729.70.a.a | $20$ | $ 11^{12} \cdot 14033^{10}$ | 7.3.1697993.1 | $S_7$ | $1$ | $-4$ |
| 20.967...449.70.a.a | $20$ | $ 13^{10} \cdot 19259^{10}$ | 7.1.250367.1 | $S_7$ | $1$ | $0$ |
| 20.103...201.70.a.a | $20$ | $ 83^{10} \cdot 3037^{10}$ | 7.1.252071.1 | $S_7$ | $1$ | $0$ |
| 20.112...201.70.a.a | $20$ | $ 7^{12} \cdot 73^{10} \cdot 337^{10}$ | 7.3.1205449.1 | $S_7$ | $1$ | $-4$ |
| 20.151...201.70.a.a | $20$ | $ 307^{10} \cdot 853^{10}$ | 7.1.261871.1 | $S_7$ | $1$ | $0$ |
| 20.186...049.70.a.a | $20$ | $ 101^{10} \cdot 2647^{10}$ | 7.1.267347.1 | $S_7$ | $1$ | $0$ |
| 20.210...249.70.a.a | $20$ | $ 461^{10} \cdot 587^{10}$ | 7.1.270607.1 | $S_7$ | $1$ | $0$ |