Artin representation search results

Results (9 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
8.741...384.24t708.a.a	$8$	$ 2^{4} \cdot 17^{2} \cdot 31^{2} \cdot 43^{4} \cdot 47^{4}$	$5$	8.0.8610001628.1	$C_2 \wr S_4$	$C_2^3:S_4$	$C_2\wr S_4$	$1$	$0$
8.776...625.21t14.a.a	$8$	$ 3^{10} \cdot 5^{6} \cdot 17^{6} \cdot 29^{4} \cdot 149^{4}$	$5$	7.3.710512566998855625.2	$\GL(3,2)$	$\GL(3,2)$	$\PSL(2,7)$	$1$	$0$
8.134...625.21t14.a.a	$8$	$ 3^{10} \cdot 5^{6} \cdot 37^{4} \cdot 59^{4} \cdot 503^{4}$	$5$	7.3.549352350666455625.1	$\GL(3,2)$	$\GL(3,2)$	$\PSL(2,7)$	$1$	$0$
8.146...064.24t708.a.a	$8$	$ 2^{12} \cdot 17^{6} \cdot 31^{6} \cdot 43^{4} \cdot 47^{4}$	$5$	8.0.8610001628.1	$C_2 \wr S_4$	$C_2^3:S_4$	$C_2\wr S_4$	$1$	$0$
8.707...952.36t1254.a.a 8.707...952.36t1254.a.b	$8$	$ 2^{18} \cdot 7^{6} \cdot 31^{3} \cdot 73^{7} \cdot 191^{3}$	$5$	10.10.2479496435501984647213635157844422492946432.1	$\PGL(2,9)$	$\PGL(2,9)$	$\PGL(2,9)$	$1$	$8$
8.221...704.21t14.a.a	$8$	$ 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 113^{4} \cdot 39679^{4}$	$5$	7.3.62556938348791847184.1	$\GL(3,2)$	$\GL(3,2)$	$\PSL(2,7)$	$1$	$0$
8.130...000.21t14.a.a	$8$	$ 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 311^{4} \cdot 22067^{4}$	$5$	7.3.343348296009668010000.1	$\GL(3,2)$	$\GL(3,2)$	$\PSL(2,7)$	$1$	$0$
8.523...000.21t14.a.a	$8$	$ 2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 109^{4} \cdot 31481^{4}$	$5$	7.3.343350397276315560000.1	$\GL(3,2)$	$\GL(3,2)$	$\PSL(2,7)$	$1$	$0$
8.247...432.72.a.a 8.247...432.72.a.b	$8$	$ 2^{18} \cdot 7^{6} \cdot 31^{5} \cdot 73^{7} \cdot 191^{5}$	$5$	10.10.2479496435501984647213635157844422492946432.1	$\PGL(2,9)$	$\PGL(2,9)$	72	$1$	$8$