Artin representation search results

Results (1-50 of 194258 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
1.1.1t1.a.a	$1$	$1$	$0$	\(\Q\)	Trivial	$C_1$	Trivial	$1$	$1$
1.3.2t1.a.a	$1$	$ 3 $	$1$	\(\Q(\sqrt{-3}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.4.2t1.a.a	$1$	$ 2^{2}$	$1$	\(\Q(\sqrt{-1}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.5.2t1.a.a	$1$	$ 5 $	$1$	\(\Q(\sqrt{5}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.5.4t1.a.a 1.5.4t1.a.b	$1$	$ 5 $	$1$	\(\Q(\zeta_{5})\)	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.7.2t1.a.a	$1$	$ 7 $	$1$	\(\Q(\sqrt{-7}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.7.3t1.a.a 1.7.3t1.a.b	$1$	$ 7 $	$1$	\(\Q(\zeta_{7})^+\)	$C_3$	$C_1$	$C_3$	$0$	$1$
1.7.6t1.a.a 1.7.6t1.a.b	$1$	$ 7 $	$1$	\(\Q(\zeta_{7})\)	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.8.2t1.a.a	$1$	$ 2^{3}$	$1$	\(\Q(\sqrt{2}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.8.2t1.b.a	$1$	$ 2^{3}$	$1$	\(\Q(\sqrt{-2}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.9.3t1.a.a 1.9.3t1.a.b	$1$	$ 3^{2}$	$1$	\(\Q(\zeta_{9})^+\)	$C_3$	$C_1$	$C_3$	$0$	$1$
1.9.6t1.a.a 1.9.6t1.a.b	$1$	$ 3^{2}$	$1$	\(\Q(\zeta_{9})\)	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.11.2t1.a.a	$1$	$ 11 $	$1$	\(\Q(\sqrt{-11}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.11.5t1.a.a 1.11.5t1.a.b 1.11.5t1.a.c 1.11.5t1.a.d	$1$	$ 11 $	$1$	\(\Q(\zeta_{11})^+\)	$C_5$	$C_1$	$C_5$	$0$	$1$
1.11.10t1.a.a 1.11.10t1.a.b 1.11.10t1.a.c 1.11.10t1.a.d	$1$	$ 11 $	$1$	\(\Q(\zeta_{11})\)	$C_{10}$	$C_1$	$C_{10}$	$0$	$-1$
1.12.2t1.a.a	$1$	$ 2^{2} \cdot 3 $	$2$	\(\Q(\sqrt{3}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.13.2t1.a.a	$1$	$ 13 $	$1$	\(\Q(\sqrt{13}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.13.3t1.a.a 1.13.3t1.a.b	$1$	$ 13 $	$1$	3.3.169.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.13.4t1.a.a 1.13.4t1.a.b	$1$	$ 13 $	$1$	4.0.2197.1	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.13.6t1.a.a 1.13.6t1.a.b	$1$	$ 13 $	$1$	\(\Q(\zeta_{13})^+\)	$C_6$	$C_1$	$C_6$	$0$	$1$
1.15.2t1.a.a	$1$	$ 3 \cdot 5 $	$2$	\(\Q(\sqrt{-15}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.15.4t1.a.a 1.15.4t1.a.b	$1$	$ 3 \cdot 5 $	$2$	\(\Q(\zeta_{15})^+\)	$C_4$	$C_1$	$C_4$	$0$	$1$
1.16.4t1.a.a 1.16.4t1.a.b	$1$	$ 2^{4}$	$1$	\(\Q(\zeta_{16})^+\)	$C_4$	$C_1$	$C_4$	$0$	$1$
1.16.4t1.b.a 1.16.4t1.b.b	$1$	$ 2^{4}$	$1$	4.0.2048.2	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.17.2t1.a.a	$1$	$ 17 $	$1$	\(\Q(\sqrt{17}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.17.4t1.a.a 1.17.4t1.a.b	$1$	$ 17 $	$1$	4.4.4913.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.17.8t1.a.a 1.17.8t1.a.b 1.17.8t1.a.c 1.17.8t1.a.d	$1$	$ 17 $	$1$	\(\Q(\zeta_{17})^+\)	$C_8$	$C_1$	$C_8$	$0$	$1$
1.19.2t1.a.a	$1$	$ 19 $	$1$	\(\Q(\sqrt{-19}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.19.3t1.a.a 1.19.3t1.a.b	$1$	$ 19 $	$1$	3.3.361.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.19.6t1.a.a 1.19.6t1.a.b	$1$	$ 19 $	$1$	6.0.2476099.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.19.9t1.a.a 1.19.9t1.a.b 1.19.9t1.a.c 1.19.9t1.a.d 1.19.9t1.a.e 1.19.9t1.a.f	$1$	$ 19 $	$1$	\(\Q(\zeta_{19})^+\)	$C_9$	$C_1$	$C_9$	$0$	$1$
1.20.2t1.a.a	$1$	$ 2^{2} \cdot 5 $	$2$	\(\Q(\sqrt{-5}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.20.4t1.a.a 1.20.4t1.a.b	$1$	$ 2^{2} \cdot 5 $	$2$	\(\Q(\zeta_{20})^+\)	$C_4$	$C_1$	$C_4$	$0$	$1$
1.21.2t1.a.a	$1$	$ 3 \cdot 7 $	$2$	\(\Q(\sqrt{21}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.21.6t1.a.a 1.21.6t1.a.b	$1$	$ 3 \cdot 7 $	$2$	6.0.64827.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.21.6t1.b.a 1.21.6t1.b.b	$1$	$ 3 \cdot 7 $	$2$	\(\Q(\zeta_{21})^+\)	$C_6$	$C_1$	$C_6$	$0$	$1$
1.23.2t1.a.a	$1$	$ 23 $	$1$	\(\Q(\sqrt{-23}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.23.11t1.a.a 1.23.11t1.a.b 1.23.11t1.a.c 1.23.11t1.a.d 1.23.11t1.a.e 1.23.11t1.a.f 1.23.11t1.a.g 1.23.11t1.a.h 1.23.11t1.a.i 1.23.11t1.a.j	$1$	$ 23 $	$1$	\(\Q(\zeta_{23})^+\)	$C_{11}$	$C_1$	$C_{11}$	$0$	$1$
1.23.22t1.a.a 1.23.22t1.a.b 1.23.22t1.a.c 1.23.22t1.a.d 1.23.22t1.a.e 1.23.22t1.a.f 1.23.22t1.a.g 1.23.22t1.a.h 1.23.22t1.a.i 1.23.22t1.a.j	$1$	$ 23 $	$1$	\(\Q(\zeta_{23})\)	$C_{22}$	$C_1$	$C_{22}$	$0$	$-1$
1.24.2t1.a.a	$1$	$ 2^{3} \cdot 3 $	$2$	\(\Q(\sqrt{6}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.24.2t1.b.a	$1$	$ 2^{3} \cdot 3 $	$2$	\(\Q(\sqrt{-6}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.25.5t1.a.a 1.25.5t1.a.b 1.25.5t1.a.c 1.25.5t1.a.d	$1$	$ 5^{2}$	$1$	5.5.390625.1	$C_5$	$C_1$	$C_5$	$0$	$1$
1.25.10t1.a.a 1.25.10t1.a.b 1.25.10t1.a.c 1.25.10t1.a.d	$1$	$ 5^{2}$	$1$	\(\Q(\zeta_{25})^+\)	$C_{10}$	$C_1$	$C_{10}$	$0$	$1$
1.25.20t1.a.a 1.25.20t1.a.b 1.25.20t1.a.c 1.25.20t1.a.d 1.25.20t1.a.e 1.25.20t1.a.f 1.25.20t1.a.g 1.25.20t1.a.h	$1$	$ 5^{2}$	$1$	\(\Q(\zeta_{25})\)	$C_{20}$	$C_1$	$C_{20}$	$0$	$-1$
1.27.9t1.a.a 1.27.9t1.a.b 1.27.9t1.a.c 1.27.9t1.a.d 1.27.9t1.a.e 1.27.9t1.a.f	$1$	$ 3^{3}$	$1$	\(\Q(\zeta_{27})^+\)	$C_9$	$C_1$	$C_9$	$0$	$1$
1.27.18t1.a.a 1.27.18t1.a.b 1.27.18t1.a.c 1.27.18t1.a.d 1.27.18t1.a.e 1.27.18t1.a.f	$1$	$ 3^{3}$	$1$	\(\Q(\zeta_{27})\)	$C_{18}$	$C_1$	$C_{18}$	$0$	$-1$
1.28.2t1.a.a	$1$	$ 2^{2} \cdot 7 $	$2$	\(\Q(\sqrt{7}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.28.6t1.a.a 1.28.6t1.a.b	$1$	$ 2^{2} \cdot 7 $	$2$	6.0.153664.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.28.6t1.b.a 1.28.6t1.b.b	$1$	$ 2^{2} \cdot 7 $	$2$	\(\Q(\zeta_{28})^+\)	$C_6$	$C_1$	$C_6$	$0$	$1$
1.29.2t1.a.a	$1$	$ 29 $	$1$	\(\Q(\sqrt{29}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$