Artin representation search results

Results (10 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
12.436...496.36t1126.a.a	$12$	$ 2^{8} \cdot 193^{6} \cdot 229^{7}$	$3$	9.9.1789291325044.1	$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$	$C_3^3:S_4$	$C_3^3:S_4$	$1$	$12$
12.284...875.36t1763.a.a	$12$	$ 5^{6} \cdot 15139^{7}$	$2$	8.2.9461875.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-2$
12.207...125.24t2821.a.a	$12$	$ 5^{6} \cdot 439^{5} \cdot 2411^{5}$	$3$	8.8.661518125.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$12$
12.245...749.36t1763.a.a	$12$	$ 3^{9} \cdot 19927^{7}$	$2$	8.0.4842261.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
12.456...121.18t142.a.a	$12$	$ 7^{8} \cdot 83^{8} \cdot 181^{6}$	$3$	9.9.26552265046321.1	$((C_3 \times (C_3^2 : C_2)) : C_2) : C_3$	$C_3^3:A_4$	$C_3^3:A_4$	$1$	$12$
12.189...273.36t1763.a.a	$12$	$ 3^{6} \cdot 7^{7} \cdot 61^{7} \cdot 139^{7}$	$4$	8.0.4807593.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
12.225...441.18t218.a.a	$12$	$ 3^{9} \cdot 53^{8} \cdot 107^{9}$	$3$	9.9.29824410535929.1	$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$	$C_3^3:S_4$	$C_3^3:S_4$	$1$	$12$
12.225...441.36t1123.a.a	$12$	$ 3^{9} \cdot 53^{8} \cdot 107^{9}$	$3$	9.9.29824410535929.1	$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$	$C_3^3:S_4$	$C_3^3:S_4$	$1$	$12$
12.125...344.36t2210.a.a	$12$	$ 2^{8} \cdot 37^{6} \cdot 16361^{6}$	$3$	9.9.53038958912.1	$S_3\wr S_3$	$S_3\wr S_3$	$S_3\wr S_3$	$1$	$12$
12.797...125.24t1505.a.a	$12$	$ 5^{9} \cdot 43^{6} \cdot 191^{10}$	$3$	8.8.210791778125.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$12$