Artin representation search results

Results (1-50 of 682 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
20.213...816.70.a.a	$20$	$ 2^{60} \cdot 3^{32}$	$2$	7.1.13436928.1	$S_7$	$S_7$	70	$1$	$0$
20.342...456.70.a.a	$20$	$ 2^{48} \cdot 3^{40}$	$2$	7.1.90699264.1	$S_7$	$S_7$	70	$1$	$0$
20.854...264.70.a.a	$20$	$ 2^{62} \cdot 3^{32}$	$2$	7.1.161243136.1	$S_7$	$S_7$	70	$1$	$0$
20.136...824.70.a.a	$20$	$ 2^{50} \cdot 3^{40}$	$2$	7.1.60466176.2	$S_7$	$S_7$	70	$1$	$0$
20.140...776.70.a.a	$20$	$ 2^{60} \cdot 3^{40}$	$2$	7.1.1451188224.1	$S_7$	$S_7$	70	$1$	$0$
20.140...776.70.b.a	$20$	$ 2^{60} \cdot 3^{40}$	$2$	7.1.90699264.2	$S_7$	$S_7$	70	$1$	$0$
20.560...104.70.a.a	$20$	$ 2^{62} \cdot 3^{40}$	$2$	7.1.60466176.1	$S_7$	$S_7$	70	$1$	$0$
20.560...104.70.b.a	$20$	$ 2^{62} \cdot 3^{40}$	$2$	7.1.241864704.1	$S_7$	$S_7$	70	$1$	$0$
20.560...104.70.c.a	$20$	$ 2^{62} \cdot 3^{40}$	$2$	7.1.241864704.2	$S_7$	$S_7$	70	$1$	$0$
20.224...416.70.a.a	$20$	$ 2^{64} \cdot 3^{40}$	$2$	7.1.725594112.1	$S_7$	$S_7$	70	$1$	$0$
20.311...609.70.a.a	$20$	$ 7^{10} \cdot 29^{12} \cdot 89^{10}$	$3$	7.1.523943.1	$S_7$	$S_7$	70	$1$	$0$
20.512...881.70.a.a	$20$	$ 13^{12} \cdot 17^{10} \cdot 127^{10}$	$3$	7.1.364871.1	$S_7$	$S_7$	70	$1$	$0$
20.668...569.70.a.a	$20$	$ 23^{10} \cdot 709^{12}$	$2$	7.5.11561663.1	$S_7$	$S_7$	70	$1$	$0$
20.893...321.70.a.a	$20$	$ 11^{12} \cdot 3511^{10}$	$2$	7.1.424831.1	$S_7$	$S_7$	70	$1$	$0$
20.200...009.70.a.a	$20$	$ 53^{12} \cdot 577^{10}$	$2$	7.3.1620793.1	$S_7$	$S_7$	70	$1$	$-4$
20.297...625.70.a.a	$20$	$ 5^{12} \cdot 37^{10} \cdot 347^{10}$	$3$	7.1.320975.1	$S_7$	$S_7$	70	$1$	$0$
20.456...201.70.a.a	$20$	$ 7^{12} \cdot 8951^{10}$	$2$	7.1.438599.1	$S_7$	$S_7$	70	$1$	$0$
20.954...169.70.a.a	$20$	$ 3^{24} \cdot 7127^{10}$	$2$	7.1.577287.1	$S_7$	$S_7$	70	$1$	$0$
20.106...769.70.a.a	$20$	$ 3^{24} \cdot 7207^{10}$	$2$	7.1.583767.1	$S_7$	$S_7$	70	$1$	$0$
20.115...864.70.a.a	$20$	$ 2^{36} \cdot 8363^{10}$	$2$	7.1.535232.1	$S_7$	$S_7$	70	$1$	$0$
20.340...049.70.a.a	$20$	$ 7^{12} \cdot 31^{10} \cdot 353^{10}$	$3$	7.1.536207.1	$S_7$	$S_7$	70	$1$	$0$
20.141...536.40t942.a.a	$20$	$ 2^{26} \cdot 11^{14} \cdot 113^{14}$	$3$	10.10.152779290393664.1	$C_2^4 : A_5$	$C_2^4:A_5$	$C_2^4:A_5$	$1$	$20$
20.165...161.70.a.a	$20$	$ 191^{10} \cdot 233^{12}$	$2$	7.5.10369199.1	$S_7$	$S_7$	70	$1$	$0$
20.202...529.70.a.a	$20$	$ 23^{12} \cdot 3137^{10}$	$2$	7.3.1659473.1	$S_7$	$S_7$	70	$1$	$-4$
20.459...249.70.a.a	$20$	$ 184607^{10}$	$1$	7.1.184607.1	$S_7$	$S_7$	70	$1$	$0$
20.677...441.70.a.a	$20$	$ 3^{22} \cdot 17117^{10}$	$2$	7.1.462159.1	$S_7$	$S_7$	70	$1$	$0$
20.729...649.70.a.a	$20$	$ 193327^{10}$	$1$	7.1.193327.1	$S_7$	$S_7$	70	$1$	$0$
20.739...249.70.a.a	$20$	$ 193607^{10}$	$1$	7.1.193607.1	$S_7$	$S_7$	70	$1$	$0$
20.842...649.70.a.a	$20$	$ 29^{10} \cdot 6763^{10}$	$2$	7.1.196127.1	$S_7$	$S_7$	70	$1$	$0$
20.100...401.70.a.a	$20$	$ 199559^{10}$	$1$	7.1.199559.1	$S_7$	$S_7$	70	$1$	$0$
20.100...769.70.a.a	$20$	$ 13^{12} \cdot 29^{10} \cdot 317^{10}$	$3$	7.3.1553617.1	$S_7$	$S_7$	70	$1$	$-4$
20.111...201.70.a.a	$20$	$ 17^{10} \cdot 11863^{10}$	$2$	7.1.201671.1	$S_7$	$S_7$	70	$1$	$0$
20.115...201.70.a.a	$20$	$ 202471^{10}$	$1$	7.1.202471.1	$S_7$	$S_7$	70	$1$	$0$
20.126...992.40t1676.a.a	$20$	$ 2^{40} \cdot 36497^{9}$	$2$	10.10.1363999753216.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$20$
20.132...481.70.a.a	$20$	$ 11^{10} \cdot 13^{12} \cdot 859^{10}$	$3$	7.3.1596881.1	$S_7$	$S_7$	70	$1$	$-4$
20.150...601.70.a.a	$20$	$ 11^{10} \cdot 41^{10} \cdot 461^{10}$	$3$	7.1.207911.1	$S_7$	$S_7$	70	$1$	$0$
20.181...801.70.a.a	$20$	$ 19^{10} \cdot 11149^{10}$	$2$	7.1.211831.1	$S_7$	$S_7$	70	$1$	$0$
20.207...249.70.a.a	$20$	$ 214607^{10}$	$1$	7.1.214607.1	$S_7$	$S_7$	70	$1$	$0$
20.327...049.70.a.a	$20$	$ 277^{10} \cdot 811^{10}$	$2$	7.1.224647.1	$S_7$	$S_7$	70	$1$	$0$
20.367...849.70.a.a	$20$	$ 167^{10} \cdot 1361^{10}$	$2$	7.1.227287.1	$S_7$	$S_7$	70	$1$	$0$
20.577...001.70.a.a	$20$	$ 23^{10} \cdot 10337^{10}$	$2$	7.1.237751.1	$S_7$	$S_7$	70	$1$	$0$
20.693...049.70.a.a	$20$	$ 242147^{10}$	$1$	7.1.242147.1	$S_7$	$S_7$	70	$1$	$0$
20.717...201.70.a.a	$20$	$ 242971^{10}$	$1$	7.1.242971.1	$S_7$	$S_7$	70	$1$	$0$
20.929...729.70.a.a	$20$	$ 11^{12} \cdot 14033^{10}$	$2$	7.3.1697993.1	$S_7$	$S_7$	70	$1$	$-4$
20.967...449.70.a.a	$20$	$ 13^{10} \cdot 19259^{10}$	$2$	7.1.250367.1	$S_7$	$S_7$	70	$1$	$0$
20.103...201.70.a.a	$20$	$ 83^{10} \cdot 3037^{10}$	$2$	7.1.252071.1	$S_7$	$S_7$	70	$1$	$0$
20.112...201.70.a.a	$20$	$ 7^{12} \cdot 73^{10} \cdot 337^{10}$	$3$	7.3.1205449.1	$S_7$	$S_7$	70	$1$	$-4$
20.151...201.70.a.a	$20$	$ 307^{10} \cdot 853^{10}$	$2$	7.1.261871.1	$S_7$	$S_7$	70	$1$	$0$
20.186...049.70.a.a	$20$	$ 101^{10} \cdot 2647^{10}$	$2$	7.1.267347.1	$S_7$	$S_7$	70	$1$	$0$
20.210...249.70.a.a	$20$	$ 461^{10} \cdot 587^{10}$	$2$	7.1.270607.1	$S_7$	$S_7$	70	$1$	$0$