Artin representation search results

Results (1-50 of 1160 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
4.28900.8t40.a.a	$4$	$ 2^{2} \cdot 5^{2} \cdot 17^{2}$	$3$	8.0.167042000.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.33856.8t40.b.a	$4$	$ 2^{6} \cdot 23^{2}$	$2$	8.2.49836032.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.52441.8t40.a.a	$4$	$ 229^{2}$	$1$	8.0.12008989.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.55225.8t40.a.a	$4$	$ 5^{2} \cdot 47^{2}$	$2$	8.0.609960125.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.61504.8t40.b.a	$4$	$ 2^{6} \cdot 31^{2}$	$2$	8.2.122023936.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.68121.8t40.b.a	$4$	$ 3^{4} \cdot 29^{2}$	$2$	8.0.160016229.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.78400.8t40.a.a	$4$	$ 2^{6} \cdot 5^{2} \cdot 7^{2}$	$3$	8.2.878080000.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.80089.8t40.b.a	$4$	$ 283^{2}$	$1$	8.2.22665187.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.87616.8t40.b.a	$4$	$ 2^{6} \cdot 37^{2}$	$2$	8.0.51868672.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.109561.8t40.a.a	$4$	$ 331^{2}$	$1$	8.2.36264691.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.118336.8t40.a.a	$4$	$ 2^{6} \cdot 43^{2}$	$2$	8.2.81415168.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.123904.8t40.c.a	$4$	$ 2^{10} \cdot 11^{2}$	$2$	8.2.959512576.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.123904.8t40.d.a	$4$	$ 2^{10} \cdot 11^{2}$	$2$	8.2.959512576.2	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.129600.8t40.a.a	$4$	$ 2^{6} \cdot 3^{4} \cdot 5^{2}$	$3$	8.0.839808000.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.129600.8t40.d.a	$4$	$ 2^{6} \cdot 3^{4} \cdot 5^{2}$	$3$	8.2.1119744000.4	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.129600.8t40.e.a	$4$	$ 2^{6} \cdot 3^{4} \cdot 5^{2}$	$3$	8.2.1119744000.3	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.135424.8t40.b.a	$4$	$ 2^{8} \cdot 23^{2}$	$2$	8.2.199344128.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.135424.8t40.c.a	$4$	$ 2^{8} \cdot 23^{2}$	$2$	8.2.286557184.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.135424.8t40.d.a	$4$	$ 2^{8} \cdot 23^{2}$	$2$	8.2.286557184.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.136161.8t40.a.a	$4$	$ 3^{4} \cdot 41^{2}$	$2$	8.2.150730227.2	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.136161.8t40.b.a	$4$	$ 3^{4} \cdot 41^{2}$	$2$	8.2.150730227.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.137641.8t40.a.a	$4$	$ 7^{2} \cdot 53^{2}$	$2$	8.0.357453677.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.215296.8t40.a.a	$4$	$ 2^{8} \cdot 29^{2}$	$2$	8.0.1448511488.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.219024.8t40.b.a	$4$	$ 2^{4} \cdot 3^{4} \cdot 13^{2}$	$3$	8.0.922529088.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.246016.8t40.a.a	$4$	$ 2^{8} \cdot 31^{2}$	$2$	8.2.488095744.2	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.254016.8t40.a.a	$4$	$ 2^{6} \cdot 3^{4} \cdot 7^{2}$	$3$	8.2.9217732608.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.254016.8t40.b.a	$4$	$ 2^{6} \cdot 3^{4} \cdot 7^{2}$	$3$	8.0.768144384.2	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.254016.8t40.c.a	$4$	$ 2^{6} \cdot 3^{4} \cdot 7^{2}$	$3$	8.0.768144384.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.270400.8t40.b.a	$4$	$ 2^{6} \cdot 5^{2} \cdot 13^{2}$	$3$	8.0.1406080000.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.304704.8t40.b.a	$4$	$ 2^{6} \cdot 3^{2} \cdot 23^{2}$	$3$	8.2.7737043968.3	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.313600.8t40.a.a	$4$	$ 2^{8} \cdot 5^{2} \cdot 7^{2}$	$3$	8.2.3512320000.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.313600.8t40.c.a	$4$	$ 2^{8} \cdot 5^{2} \cdot 7^{2}$	$3$	8.0.3073280000.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.350464.8t40.b.a	$4$	$ 2^{8} \cdot 37^{2}$	$2$	8.0.207474688.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.369664.8t40.a.a	$4$	$ 2^{10} \cdot 19^{2}$	$2$	8.2.4270358528.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.369664.8t40.b.a	$4$	$ 2^{10} \cdot 19^{2}$	$2$	8.2.4270358528.2	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.467856.8t40.a.a	$4$	$ 2^{4} \cdot 3^{4} \cdot 19^{2}$	$3$	8.2.18240769728.2	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.467856.8t40.b.a	$4$	$ 2^{4} \cdot 3^{4} \cdot 19^{2}$	$3$	8.2.18240769728.2	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.473344.8t40.b.a	$4$	$ 2^{8} \cdot 43^{2}$	$2$	8.2.325660672.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.484416.8t40.d.a	$4$	$ 2^{6} \cdot 3^{2} \cdot 29^{2}$	$3$	8.2.2697228288.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.484416.8t40.e.a	$4$	$ 2^{6} \cdot 3^{2} \cdot 29^{2}$	$3$	8.2.2697228288.2	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.484416.8t40.f.a	$4$	$ 2^{6} \cdot 3^{2} \cdot 29^{2}$	$3$	8.2.2697228288.3	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.485809.8t40.a.a	$4$	$ 17^{2} \cdot 41^{2}$	$2$	8.0.338608873.2	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.485809.8t40.b.a	$4$	$ 17^{2} \cdot 41^{2}$	$2$	8.0.338608873.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.495616.8t40.c.a	$4$	$ 2^{12} \cdot 11^{2}$	$2$	8.2.959512576.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.495616.8t40.d.a	$4$	$ 2^{12} \cdot 11^{2}$	$2$	8.2.959512576.2	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.518400.8t40.d.a	$4$	$ 2^{8} \cdot 3^{4} \cdot 5^{2}$	$3$	8.0.3359232000.2	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.518400.8t40.e.a	$4$	$ 2^{8} \cdot 3^{4} \cdot 5^{2}$	$3$	8.2.4478976000.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.518400.8t40.f.a	$4$	$ 2^{8} \cdot 3^{4} \cdot 5^{2}$	$3$	8.2.4478976000.2	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.529984.8t40.b.a	$4$	$ 2^{6} \cdot 7^{2} \cdot 13^{2}$	$3$	8.2.771656704.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$
4.541696.8t40.a.a	$4$	$ 2^{10} \cdot 23^{2}$	$2$	8.2.1146228736.1	$Q_8:S_4$	$C_2^2:S_4$	$Q_8:S_4$	$1$	$0$