Artin representation search results

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Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
1.10001.2t1.a.a	$1$	$ 73 \cdot 137 $	$2$	\(\Q(\sqrt{10001}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10001.4t1.a.a 1.10001.4t1.a.b	$1$	$ 73 \cdot 137 $	$2$	4.4.1000300030001.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.10003.2t1.a.a	$1$	$ 7 \cdot 1429 $	$2$	\(\Q(\sqrt{-10003}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10003.3t1.a.a 1.10003.3t1.a.b	$1$	$ 7 \cdot 1429 $	$2$	3.3.100060009.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.10003.3t1.b.a 1.10003.3t1.b.b	$1$	$ 7 \cdot 1429 $	$2$	3.3.100060009.2	$C_3$	$C_1$	$C_3$	$0$	$1$
1.10004.2t1.a.a	$1$	$ 2^{2} \cdot 41 \cdot 61 $	$3$	\(\Q(\sqrt{-2501}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10005.2t1.a.a	$1$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$4$	\(\Q(\sqrt{10005}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10005.4t1.a.a 1.10005.4t1.a.b	$1$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$4$	4.0.500500125.2	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.10007.2t1.a.a	$1$	$ 10007 $	$1$	\(\Q(\sqrt{-10007}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10009.3t1.a.a 1.10009.3t1.a.b	$1$	$ 10009 $	$1$	3.3.100180081.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.10011.2t1.a.a	$1$	$ 3 \cdot 47 \cdot 71 $	$3$	\(\Q(\sqrt{-10011}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10012.2t1.a.a	$1$	$ 2^{2} \cdot 2503 $	$2$	\(\Q(\sqrt{2503}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10013.2t1.a.a	$1$	$ 17 \cdot 19 \cdot 31 $	$3$	\(\Q(\sqrt{10013}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10015.2t1.a.a	$1$	$ 5 \cdot 2003 $	$2$	\(\Q(\sqrt{-10015}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10019.2t1.a.a	$1$	$ 43 \cdot 233 $	$2$	\(\Q(\sqrt{-10019}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10020.2t1.a.a	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 167 $	$4$	\(\Q(\sqrt{-2505}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10023.2t1.a.a	$1$	$ 3 \cdot 13 \cdot 257 $	$3$	\(\Q(\sqrt{-10023}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10024.2t1.a.a	$1$	$ 2^{3} \cdot 7 \cdot 179 $	$3$	\(\Q(\sqrt{2506}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10024.2t1.b.a	$1$	$ 2^{3} \cdot 7 \cdot 179 $	$3$	\(\Q(\sqrt{-2506}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10027.2t1.a.a	$1$	$ 37 \cdot 271 $	$2$	\(\Q(\sqrt{-10027}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10027.3t1.a.a 1.10027.3t1.a.b	$1$	$ 37 \cdot 271 $	$2$	3.3.100540729.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.10027.3t1.b.a 1.10027.3t1.b.b	$1$	$ 37 \cdot 271 $	$2$	3.3.100540729.2	$C_3$	$C_1$	$C_3$	$0$	$1$
1.10028.2t1.a.a	$1$	$ 2^{2} \cdot 23 \cdot 109 $	$3$	\(\Q(\sqrt{2507}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10029.2t1.a.a	$1$	$ 3 \cdot 3343 $	$2$	\(\Q(\sqrt{10029}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10031.2t1.a.a	$1$	$ 7 \cdot 1433 $	$2$	\(\Q(\sqrt{-10031}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10033.3t1.a.a 1.10033.3t1.a.b	$1$	$ 79 \cdot 127 $	$2$	3.3.100661089.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.10033.3t1.b.a 1.10033.3t1.b.b	$1$	$ 79 \cdot 127 $	$2$	3.3.100661089.2	$C_3$	$C_1$	$C_3$	$0$	$1$
1.10036.2t1.a.a	$1$	$ 2^{2} \cdot 13 \cdot 193 $	$3$	\(\Q(\sqrt{-2509}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10037.2t1.a.a	$1$	$ 10037 $	$1$	\(\Q(\sqrt{10037}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10039.2t1.a.a	$1$	$ 10039 $	$1$	\(\Q(\sqrt{-10039}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10039.3t1.a.a 1.10039.3t1.a.b	$1$	$ 10039 $	$1$	3.3.100781521.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.10040.2t1.a.a	$1$	$ 2^{3} \cdot 5 \cdot 251 $	$3$	\(\Q(\sqrt{2510}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10040.2t1.b.a	$1$	$ 2^{3} \cdot 5 \cdot 251 $	$3$	\(\Q(\sqrt{-2510}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10040.4t1.a.a 1.10040.4t1.a.b	$1$	$ 2^{3} \cdot 5 \cdot 251 $	$3$	4.0.504008000.5	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.10041.2t1.a.a	$1$	$ 3 \cdot 3347 $	$2$	\(\Q(\sqrt{10041}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10047.2t1.a.a	$1$	$ 3 \cdot 17 \cdot 197 $	$3$	\(\Q(\sqrt{-10047}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10052.2t1.a.a	$1$	$ 2^{2} \cdot 7 \cdot 359 $	$3$	\(\Q(\sqrt{-2513}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10053.3t1.a.a 1.10053.3t1.a.b	$1$	$ 3^{2} \cdot 1117 $	$2$	3.3.101062809.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.10053.3t1.b.a 1.10053.3t1.b.b	$1$	$ 3^{2} \cdot 1117 $	$2$	3.3.101062809.2	$C_3$	$C_1$	$C_3$	$0$	$1$
1.10053.6t1.a.a 1.10053.6t1.a.b	$1$	$ 3^{2} \cdot 1117 $	$2$	6.6.9143859769893.1	$C_6$	$C_1$	$C_6$	$0$	$1$
1.10055.2t1.a.a	$1$	$ 5 \cdot 2011 $	$2$	\(\Q(\sqrt{-10055}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10056.2t1.a.a	$1$	$ 2^{3} \cdot 3 \cdot 419 $	$3$	\(\Q(\sqrt{2514}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10056.2t1.b.a	$1$	$ 2^{3} \cdot 3 \cdot 419 $	$3$	\(\Q(\sqrt{-2514}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10057.2t1.a.a	$1$	$ 89 \cdot 113 $	$2$	\(\Q(\sqrt{10057}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10059.2t1.a.a	$1$	$ 3 \cdot 7 \cdot 479 $	$3$	\(\Q(\sqrt{-10059}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10060.2t1.a.a	$1$	$ 2^{2} \cdot 5 \cdot 503 $	$3$	\(\Q(\sqrt{2515}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10061.2t1.a.a	$1$	$ 10061 $	$1$	\(\Q(\sqrt{10061}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.10063.2t1.a.a	$1$	$ 29 \cdot 347 $	$2$	\(\Q(\sqrt{-10063}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.10064.4t1.a.a 1.10064.4t1.a.b	$1$	$ 2^{4} \cdot 17 \cdot 37 $	$3$	4.0.810272768.2	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.10067.2t1.a.a	$1$	$ 10067 $	$1$	\(\Q(\sqrt{-10067}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$

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