Artin representation search results

Results (47 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
1.17.8t1.a.a 1.17.8t1.a.b 1.17.8t1.a.c 1.17.8t1.a.d	$1$	$ 17 $	$1$	\(\Q(\zeta_{17})^+\)	$C_8$	$C_1$	$C_8$	$0$	$1$
1.32.8t1.a.a 1.32.8t1.a.b 1.32.8t1.a.c 1.32.8t1.a.d	$1$	$ 2^{5}$	$1$	\(\Q(\zeta_{32})^+\)	$C_8$	$C_1$	$C_8$	$0$	$1$
1.32.8t1.b.a 1.32.8t1.b.b 1.32.8t1.b.c 1.32.8t1.b.d	$1$	$ 2^{5}$	$1$	8.0.2147483648.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.41.8t1.a.a 1.41.8t1.a.b 1.41.8t1.a.c 1.41.8t1.a.d	$1$	$ 41 $	$1$	8.0.194754273881.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.51.8t1.a.a 1.51.8t1.a.b 1.51.8t1.a.c 1.51.8t1.a.d	$1$	$ 3 \cdot 17 $	$2$	8.0.33237432513.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.68.8t1.a.a 1.68.8t1.a.b 1.68.8t1.a.c 1.68.8t1.a.d	$1$	$ 2^{2} \cdot 17 $	$2$	8.0.105046700288.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.73.8t1.a.a 1.73.8t1.a.b 1.73.8t1.a.c 1.73.8t1.a.d	$1$	$ 73 $	$1$	8.0.11047398519097.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.85.8t1.a.a 1.85.8t1.a.b 1.85.8t1.a.c 1.85.8t1.a.d	$1$	$ 5 \cdot 17 $	$2$	8.8.256461670625.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.85.8t1.b.a 1.85.8t1.b.b 1.85.8t1.b.c 1.85.8t1.b.d	$1$	$ 5 \cdot 17 $	$2$	8.0.6411541765625.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.85.8t1.c.a 1.85.8t1.c.b 1.85.8t1.c.c 1.85.8t1.c.d	$1$	$ 5 \cdot 17 $	$2$	8.0.6411541765625.2	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.89.8t1.a.a 1.89.8t1.a.b 1.89.8t1.a.c 1.89.8t1.a.d	$1$	$ 89 $	$1$	8.0.44231334895529.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.96.8t1.a.a 1.96.8t1.a.b 1.96.8t1.a.c 1.96.8t1.a.d	$1$	$ 2^{5} \cdot 3 $	$2$	8.8.173946175488.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.96.8t1.b.a 1.96.8t1.b.b 1.96.8t1.b.c 1.96.8t1.b.d	$1$	$ 2^{5} \cdot 3 $	$2$	8.0.173946175488.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.97.8t1.a.a 1.97.8t1.a.b 1.97.8t1.a.c 1.97.8t1.a.d	$1$	$ 97 $	$1$	8.8.80798284478113.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.113.8t1.a.a 1.113.8t1.a.b 1.113.8t1.a.c 1.113.8t1.a.d	$1$	$ 113 $	$1$	8.8.235260548044817.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.119.8t1.a.a 1.119.8t1.a.b 1.119.8t1.a.c 1.119.8t1.a.d	$1$	$ 7 \cdot 17 $	$2$	8.0.985223153873.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.123.8t1.a.a 1.123.8t1.a.b 1.123.8t1.a.c 1.123.8t1.a.d	$1$	$ 3 \cdot 41 $	$2$	8.8.15775096184361.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.136.8t1.a.a 1.136.8t1.a.b 1.136.8t1.a.c 1.136.8t1.a.d	$1$	$ 2^{3} \cdot 17 $	$2$	8.8.1680747204608.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.136.8t1.b.a 1.136.8t1.b.b 1.136.8t1.b.c 1.136.8t1.b.d	$1$	$ 2^{3} \cdot 17 $	$2$	8.0.1680747204608.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.137.8t1.a.a 1.137.8t1.a.b 1.137.8t1.a.c 1.137.8t1.a.d	$1$	$ 137 $	$1$	8.0.905824306333433.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.160.8t1.a.a 1.160.8t1.a.b 1.160.8t1.a.c 1.160.8t1.a.d	$1$	$ 2^{5} \cdot 5 $	$2$	8.8.33554432000000.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.160.8t1.b.a 1.160.8t1.b.b 1.160.8t1.b.c 1.160.8t1.b.d	$1$	$ 2^{5} \cdot 5 $	$2$	8.0.33554432000000.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.160.8t1.c.a 1.160.8t1.c.b 1.160.8t1.c.c 1.160.8t1.c.d	$1$	$ 2^{5} \cdot 5 $	$2$	8.8.33554432000000.2	$C_8$	$C_1$	$C_8$	$0$	$1$
1.160.8t1.d.a 1.160.8t1.d.b 1.160.8t1.d.c 1.160.8t1.d.d	$1$	$ 2^{5} \cdot 5 $	$2$	8.0.33554432000000.2	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.160.8t1.e.a 1.160.8t1.e.b 1.160.8t1.e.c 1.160.8t1.e.d	$1$	$ 2^{5} \cdot 5 $	$2$	8.8.1342177280000.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.160.8t1.f.a 1.160.8t1.f.b 1.160.8t1.f.c 1.160.8t1.f.d	$1$	$ 2^{5} \cdot 5 $	$2$	8.0.1342177280000.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.164.8t1.a.a 1.164.8t1.a.b 1.164.8t1.a.c 1.164.8t1.a.d	$1$	$ 2^{2} \cdot 41 $	$2$	8.8.49857094113536.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.187.8t1.a.a 1.187.8t1.a.b 1.187.8t1.a.c 1.187.8t1.a.d	$1$	$ 11 \cdot 17 $	$2$	8.0.6007768511393.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.193.8t1.a.a 1.193.8t1.a.b 1.193.8t1.a.c 1.193.8t1.a.d	$1$	$ 193 $	$1$	8.8.9974730326005057.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.204.8t1.a.a 1.204.8t1.a.b 1.204.8t1.a.c 1.204.8t1.a.d	$1$	$ 2^{2} \cdot 3 \cdot 17 $	$3$	8.8.8508782723328.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.205.8t1.a.a 1.205.8t1.a.b 1.205.8t1.a.c 1.205.8t1.a.d	$1$	$ 5 \cdot 41 $	$2$	8.0.121721421175625.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.205.8t1.b.a 1.205.8t1.b.b 1.205.8t1.b.c 1.205.8t1.b.d	$1$	$ 5 \cdot 41 $	$2$	8.8.3043035529390625.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.205.8t1.c.a 1.205.8t1.c.b 1.205.8t1.c.c 1.205.8t1.c.d	$1$	$ 5 \cdot 41 $	$2$	8.8.3043035529390625.2	$C_8$	$C_1$	$C_8$	$0$	$1$
1.219.8t1.a.a 1.219.8t1.a.b 1.219.8t1.a.c 1.219.8t1.a.d	$1$	$ 3 \cdot 73 $	$2$	8.8.894839280046857.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.221.8t1.a.a 1.221.8t1.a.b 1.221.8t1.a.c 1.221.8t1.a.d	$1$	$ 13 \cdot 17 $	$2$	8.8.11719682839553.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.221.8t1.b.a 1.221.8t1.b.b 1.221.8t1.b.c 1.221.8t1.b.d	$1$	$ 13 \cdot 17 $	$2$	8.0.1980626399884457.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.221.8t1.c.a 1.221.8t1.c.b 1.221.8t1.c.c 1.221.8t1.c.d	$1$	$ 13 \cdot 17 $	$2$	8.0.1980626399884457.2	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.224.8t1.a.a 1.224.8t1.a.b 1.224.8t1.a.c 1.224.8t1.a.d	$1$	$ 2^{5} \cdot 7 $	$2$	8.8.5156108238848.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.224.8t1.b.a 1.224.8t1.b.b 1.224.8t1.b.c 1.224.8t1.b.d	$1$	$ 2^{5} \cdot 7 $	$2$	8.0.5156108238848.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.233.8t1.a.a 1.233.8t1.a.b 1.233.8t1.a.c 1.233.8t1.a.d	$1$	$ 233 $	$1$	8.0.37281334283719577.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.241.8t1.a.a 1.241.8t1.a.b 1.241.8t1.a.c 1.241.8t1.a.d	$1$	$ 241 $	$1$	8.8.47219273189051281.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.365.8t1.a.a 1.365.8t1.a.b 1.365.8t1.a.c 1.365.8t1.a.d	$1$	$ 5 \cdot 73 $	$2$	8.0.6904624074435625.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.416.8t1.a.a 1.416.8t1.a.b 1.416.8t1.a.c 1.416.8t1.a.d	$1$	$ 2^{5} \cdot 13 $	$2$	8.0.61334280470528.11	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.480.8t1.a.a 1.480.8t1.a.b 1.480.8t1.a.c 1.480.8t1.a.d	$1$	$ 2^{5} \cdot 3 \cdot 5 $	$3$	8.8.2717908992000000.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.527.8t1.a.a 1.527.8t1.a.b 1.527.8t1.a.c 1.527.8t1.a.d	$1$	$ 17 \cdot 31 $	$2$	8.0.378956381627633.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.663.8t1.a.a 1.663.8t1.a.b 1.663.8t1.a.c 1.663.8t1.a.d	$1$	$ 3 \cdot 13 \cdot 17 $	$3$	8.0.949294310003793.2	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.1139.8t1.a.a 1.1139.8t1.a.b 1.1139.8t1.a.c 1.1139.8t1.a.d	$1$	$ 17 \cdot 67 $	$2$	8.0.8268784250602433.5	$C_8$	$C_1$	$C_8$	$0$	$-1$