LMFDB - Artin representation search results

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Dimension	Conductor	Group	Root number	Parity

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Results (1-50 of 115 matches)

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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	$\chi(c)$
5.287296.6t15.a.a	$5$	$ 2^{6} \cdot 67^{2}$	$2$	6.2.287296.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.613089.6t15.b.a	$5$	$ 3^{6} \cdot 29^{2}$	$2$	6.2.613089.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.700569.6t15.a.a	$5$	$ 3^{6} \cdot 31^{2}$	$2$	6.2.700569.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.1087849.6t15.a.a	$5$	$ 7^{2} \cdot 149^{2}$	$2$	6.2.1087849.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.1108809.6t15.a.a	$5$	$ 3^{8} \cdot 13^{2}$	$2$	6.2.1108809.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.1658944.6t15.a.a	$5$	$ 2^{6} \cdot 7^{2} \cdot 23^{2}$	$3$	6.2.1658944.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.1679616.6t15.a.a	$5$	$ 2^{8} \cdot 3^{8}$	$2$	6.2.1679616.2	$A_6$	$A_6$	$A_6$	$1$	$1$
5.1971216.6t15.b.a	$5$	$ 2^{4} \cdot 3^{6} \cdot 13^{2}$	$3$	6.2.1971216.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.3013696.6t15.a.a	$5$	$ 2^{6} \cdot 7^{2} \cdot 31^{2}$	$3$	6.2.3013696.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.6718464.6t15.a.a	$5$	$ 2^{10} \cdot 3^{8}$	$2$	6.2.1679616.2	$A_6$	$A_6$	$A_6$	$1$	$1$
5.7884864.6t15.b.a	$5$	$ 2^{6} \cdot 3^{6} \cdot 13^{2}$	$3$	6.2.1971216.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.15752961.6t15.b.a	$5$	$ 3^{8} \cdot 7^{4}$	$2$	6.2.15752961.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.22024249.6t15.a.a	$5$	$ 13^{2} \cdot 19^{4}$	$2$	6.2.22024249.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.22325625.6t15.a.a	$5$	$ 3^{6} \cdot 5^{4} \cdot 7^{2}$	$3$	6.2.22325625.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.26873856.6t15.a.a	$5$	$ 2^{12} \cdot 3^{8}$	$2$	6.2.26873856.3	$A_6$	$A_6$	$A_6$	$1$	$1$
5.26873856.6t15.b.a	$5$	$ 2^{12} \cdot 3^{8}$	$2$	6.2.26873856.5	$A_6$	$A_6$	$A_6$	$1$	$1$
5.36917776.6t15.a.a	$5$	$ 2^{4} \cdot 7^{4} \cdot 31^{2}$	$3$	6.2.3013696.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.43758225.6t15.a.a	$5$	$ 3^{6} \cdot 5^{2} \cdot 7^{4}$	$3$	6.2.22325625.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.53304601.6t15.a.a	$5$	$ 7^{4} \cdot 149^{2}$	$2$	6.2.1087849.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.71639296.6t15.b.a	$5$	$ 2^{8} \cdot 23^{4}$	$2$	6.2.71639296.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.81288256.6t15.a.a	$5$	$ 2^{6} \cdot 7^{4} \cdot 23^{2}$	$3$	6.2.1658944.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.95004009.6t15.a.a	$5$	$ 3^{6} \cdot 19^{4}$	$2$	6.2.95004009.3	$A_6$	$A_6$	$A_6$	$1$	$1$
5.107495424.6t15.a.a	$5$	$ 2^{14} \cdot 3^{8}$	$2$	6.2.107495424.3	$A_6$	$A_6$	$A_6$	$1$	$1$
5.112890625.6t15.a.a	$5$	$ 5^{8} \cdot 17^{2}$	$2$	6.2.112890625.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.112890625.6t15.b.a	$5$	$ 5^{8} \cdot 17^{2}$	$2$	6.2.112890625.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.141776649.6t15.b.a	$5$	$ 3^{10} \cdot 7^{4}$	$2$	6.2.15752961.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.170067681.6t15.a.a	$5$	$ 3^{8} \cdot 7^{2} \cdot 23^{2}$	$3$	6.6.170067681.1	$A_6$	$A_6$	$A_6$	$1$	$5$
5.192293689.6t15.a.a	$5$	$ 7^{4} \cdot 283^{2}$	$2$	6.6.192293689.1	$A_6$	$A_6$	$A_6$	$1$	$5$
5.241864704.6t15.a.a	$5$	$ 2^{12} \cdot 3^{10}$	$2$	6.2.26873856.3	$A_6$	$A_6$	$A_6$	$1$	$1$
5.241864704.6t15.b.a	$5$	$ 2^{12} \cdot 3^{10}$	$2$	6.2.26873856.5	$A_6$	$A_6$	$A_6$	$1$	$1$
5.284765625.6t15.b.a	$5$	$ 3^{6} \cdot 5^{8}$	$2$	6.2.284765625.3	$A_6$	$A_6$	$A_6$	$1$	$1$
5.286557184.6t15.b.a	$5$	$ 2^{10} \cdot 23^{4}$	$2$	6.2.71639296.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.515607849.6t15.b.a	$5$	$ 3^{6} \cdot 29^{4}$	$2$	6.2.613089.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.673246809.6t15.a.a	$5$	$ 3^{6} \cdot 31^{4}$	$2$	6.2.700569.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.967458816.6t15.a.a	$5$	$ 2^{14} \cdot 3^{10}$	$2$	6.2.107495424.3	$A_6$	$A_6$	$A_6$	$1$	$1$
5.1289671744.6t15.a.a	$5$	$ 2^{6} \cdot 67^{4}$	$2$	6.2.287296.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.1686498489.6t15.a.a	$5$	$ 3^{10} \cdot 13^{4}$	$2$	6.2.1108809.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.2562890625.6t15.b.a	$5$	$ 3^{8} \cdot 5^{8}$	$2$	6.2.2562890625.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.3722098081.6t15.a.a	$5$	$ 13^{4} \cdot 19^{4}$	$2$	6.2.22024249.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.6400000000.6t15.a.a	$5$	$ 2^{14} \cdot 5^{8}$	$2$	6.2.6400000000.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.6400000000.6t15.b.a	$5$	$ 2^{14} \cdot 5^{8}$	$2$	6.2.6400000000.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.7695324729.6t15.a.a	$5$	$ 3^{10} \cdot 19^{4}$	$2$	6.2.95004009.3	$A_6$	$A_6$	$A_6$	$1$	$1$
5.23066015625.6t15.c.a	$5$	$ 3^{10} \cdot 5^{8}$	$2$	6.2.284765625.3	$A_6$	$A_6$	$A_6$	$1$	$1$
5.23066015625.6t15.d.a	$5$	$ 3^{10} \cdot 5^{8}$	$2$	6.2.2562890625.1	$A_6$	$A_6$	$A_6$	$1$	$1$
5.440...201.6t15.a.a	$5$	$ 3^{8} \cdot 7^{4} \cdot 23^{4}$	$3$	6.6.170067681.1	$A_6$	$A_6$	$A_6$	$1$	$5$
5.154...321.6t15.a.a	$5$	$ 7^{4} \cdot 283^{4}$	$2$	6.6.192293689.1	$A_6$	$A_6$	$A_6$	$1$	$5$
8.112...824.36t555.a.a 8.112...824.36t555.a.b	$8$	$ 2^{18} \cdot 3^{16}$	$2$	6.2.1679616.2	$A_6$	$A_6$	$A_6$	$1$	$0$
8.155...624.36t555.b.a 8.155...624.36t555.b.b	$8$	$ 2^{10} \cdot 3^{12} \cdot 13^{4}$	$3$	6.2.1971216.1	$A_6$	$A_6$	$A_6$	$1$	$0$
8.203...625.36t555.a.a 8.203...625.36t555.a.b	$8$	$ 5^{12} \cdot 17^{4}$	$2$	6.2.112890625.1	$A_6$	$A_6$	$A_6$	$1$	$0$
8.388...016.36t555.b.a 8.388...016.36t555.b.b	$8$	$ 2^{18} \cdot 23^{6}$	$2$	6.2.71639296.1	$A_6$	$A_6$	$A_6$	$1$	$0$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.