Artin representation search results

Results (1-50 of 25572 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
1.1001.2t1.a.a	$1$	$ 7 \cdot 11 \cdot 13 $	$3$	\(\Q(\sqrt{1001}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.1001.4t1.a.a 1.1001.4t1.a.b	$1$	$ 7 \cdot 11 \cdot 13 $	$3$	4.0.13026013.2	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.1001.6t1.a.a 1.1001.6t1.a.b	$1$	$ 7 \cdot 11 \cdot 13 $	$3$	6.0.91273273091.4	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.1001.6t1.b.a 1.1001.6t1.b.b	$1$	$ 7 \cdot 11 \cdot 13 $	$3$	6.0.7021021007.3	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.1001.6t1.c.a 1.1001.6t1.c.b	$1$	$ 7 \cdot 11 \cdot 13 $	$3$	6.0.91273273091.5	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.1003.2t1.a.a	$1$	$ 17 \cdot 59 $	$2$	\(\Q(\sqrt{-1003}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.1003.4t1.a.a 1.1003.4t1.a.b	$1$	$ 17 \cdot 59 $	$2$	4.0.17102153.2	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.1004.2t1.a.a	$1$	$ 2^{2} \cdot 251 $	$2$	\(\Q(\sqrt{251}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.1005.2t1.a.a	$1$	$ 3 \cdot 5 \cdot 67 $	$3$	\(\Q(\sqrt{1005}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.1005.4t1.a.a 1.1005.4t1.a.b	$1$	$ 3 \cdot 5 \cdot 67 $	$3$	4.0.5050125.1	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.1007.2t1.a.a	$1$	$ 19 \cdot 53 $	$2$	\(\Q(\sqrt{-1007}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.1007.6t1.a.a 1.1007.6t1.a.b	$1$	$ 19 \cdot 53 $	$2$	6.0.368634190823.2	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.1009.2t1.a.a	$1$	$ 1009 $	$1$	\(\Q(\sqrt{1009}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.1009.3t1.a.a 1.1009.3t1.a.b	$1$	$ 1009 $	$1$	3.3.1018081.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.1009.4t1.a.a 1.1009.4t1.a.b	$1$	$ 1009 $	$1$	4.4.1027243729.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.1011.2t1.a.a	$1$	$ 3 \cdot 337 $	$2$	\(\Q(\sqrt{-1011}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.1011.4t1.a.a 1.1011.4t1.a.b	$1$	$ 3 \cdot 337 $	$2$	4.0.344454777.2	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.1011.14t1.a.a 1.1011.14t1.a.b 1.1011.14t1.a.c 1.1011.14t1.a.d 1.1011.14t1.a.e 1.1011.14t1.a.f	$1$	$ 3 \cdot 337 $	$2$	14.0.4692535788065246220336970873011147.1	$C_{14}$	$C_1$	$C_{14}$	$0$	$-1$
1.1012.2t1.a.a	$1$	$ 2^{2} \cdot 11 \cdot 23 $	$3$	\(\Q(\sqrt{-253}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.1012.10t1.a.a 1.1012.10t1.a.b 1.1012.10t1.a.c 1.1012.10t1.a.d	$1$	$ 2^{2} \cdot 11 \cdot 23 $	$3$	10.10.1412799778009275392.1	$C_{10}$	$C_1$	$C_{10}$	$0$	$1$
1.1013.2t1.a.a	$1$	$ 1013 $	$1$	\(\Q(\sqrt{1013}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.1013.4t1.a.a 1.1013.4t1.a.b	$1$	$ 1013 $	$1$	4.0.1039509197.1	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.1015.2t1.a.a	$1$	$ 5 \cdot 7 \cdot 29 $	$3$	\(\Q(\sqrt{-1015}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.1015.4t1.a.a 1.1015.4t1.a.b	$1$	$ 5 \cdot 7 \cdot 29 $	$3$	4.4.5151125.2	$C_4$	$C_1$	$C_4$	$0$	$1$
1.1015.4t1.b.a 1.1015.4t1.b.b	$1$	$ 5 \cdot 7 \cdot 29 $	$3$	4.0.149382625.1	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.1015.4t1.c.a 1.1015.4t1.c.b	$1$	$ 5 \cdot 7 \cdot 29 $	$3$	4.0.149382625.2	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.1015.6t1.a.a 1.1015.6t1.a.b	$1$	$ 5 \cdot 7 \cdot 29 $	$3$	6.0.51238240375.2	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.1016.2t1.a.a	$1$	$ 2^{3} \cdot 127 $	$2$	\(\Q(\sqrt{254}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.1016.2t1.b.a	$1$	$ 2^{3} \cdot 127 $	$2$	\(\Q(\sqrt{-254}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.1017.6t1.a.a 1.1017.6t1.a.b	$1$	$ 3^{2} \cdot 113 $	$2$	6.0.28400541651.3	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.1019.2t1.a.a	$1$	$ 1019 $	$1$	\(\Q(\sqrt{-1019}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.1020.2t1.a.a	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 17 $	$4$	\(\Q(\sqrt{255}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.1020.4t1.a.a 1.1020.4t1.a.b	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 17 $	$4$	4.0.88434000.1	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.1020.4t1.b.a 1.1020.4t1.b.b	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 17 $	$4$	4.0.88434000.2	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.1020.4t1.c.a 1.1020.4t1.c.b	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 17 $	$4$	4.0.5202000.2	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.1021.2t1.a.a	$1$	$ 1021 $	$1$	\(\Q(\sqrt{1021}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.1021.3t1.a.a 1.1021.3t1.a.b	$1$	$ 1021 $	$1$	3.3.1042441.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.1023.2t1.a.a	$1$	$ 3 \cdot 11 \cdot 31 $	$3$	\(\Q(\sqrt{-1023}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.1023.6t1.a.a 1.1023.6t1.a.b	$1$	$ 3 \cdot 11 \cdot 31 $	$3$	6.6.33188574177.1	$C_6$	$C_1$	$C_6$	$0$	$1$
1.1027.2t1.a.a	$1$	$ 13 \cdot 79 $	$2$	\(\Q(\sqrt{-1027}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.1027.3t1.a.a 1.1027.3t1.a.b	$1$	$ 13 \cdot 79 $	$2$	3.3.1054729.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.1027.3t1.b.a 1.1027.3t1.b.b	$1$	$ 13 \cdot 79 $	$2$	3.3.1054729.2	$C_3$	$C_1$	$C_3$	$0$	$1$
1.1027.4t1.a.a 1.1027.4t1.a.b	$1$	$ 13 \cdot 79 $	$2$	4.4.13711477.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.1027.6t1.a.a 1.1027.6t1.a.b	$1$	$ 13 \cdot 79 $	$2$	6.6.85573327957.2	$C_6$	$C_1$	$C_6$	$0$	$1$
1.1027.6t1.b.a 1.1027.6t1.b.b	$1$	$ 13 \cdot 79 $	$2$	6.0.14081686879.2	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.1028.2t1.a.a	$1$	$ 2^{2} \cdot 257 $	$2$	\(\Q(\sqrt{-257}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.1031.2t1.a.a	$1$	$ 1031 $	$1$	\(\Q(\sqrt{-1031}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.1032.2t1.a.a	$1$	$ 2^{3} \cdot 3 \cdot 43 $	$3$	\(\Q(\sqrt{258}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.1032.2t1.b.a	$1$	$ 2^{3} \cdot 3 \cdot 43 $	$3$	\(\Q(\sqrt{-258}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.1032.6t1.a.a 1.1032.6t1.a.b	$1$	$ 2^{3} \cdot 3 \cdot 43 $	$3$	6.6.47261505024.1	$C_6$	$C_1$	$C_6$	$0$	$1$