Artin representation search results

Results (1-50 of 5457 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
5.100...099.6t14.a.a	$5$	$ 47^{4} \cdot 59^{3}$	$2$	5.3.130331.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$-1$
5.100...072.6t14.a.a	$5$	$ 2^{4} \cdot 29^{3} \cdot 137^{3}$	$3$	5.1.63568.2	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$1$
5.100...569.10t13.a.a	$5$	$ 61^{2} \cdot 16433^{2}$	$2$	5.5.1002413.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.100...681.10t13.a.a	$5$	$ 7^{2} \cdot 11^{2} \cdot 13033^{2}$	$3$	5.5.1003541.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.100...052.6t16.a.a	$5$	$ 2^{2} \cdot 6317^{3}$	$2$	6.2.101072.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.101...169.6t12.a.a	$5$	$ 7^{2} \cdot 379^{4}$	$2$	5.1.7038409.1	$A_5$	$A_5$	$\PSL(2,5)$	$1$	$1$
5.101...729.12t183.a.a	$5$	$ 3^{6} \cdot 193^{4}$	$2$	6.2.140697.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.101...769.10t13.a.a	$5$	$ 1007137^{2}$	$1$	5.5.1007137.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.101...704.6t14.a.a	$5$	$ 2^{4} \cdot 3989^{3}$	$2$	5.1.63824.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$1$
5.101...704.6t14.b.a	$5$	$ 2^{4} \cdot 3989^{3}$	$2$	5.1.63824.2	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$1$
5.101...032.6t14.a.a	$5$	$ 2^{10} \cdot 3^{10} \cdot 7^{5}$	$3$	5.1.16003008.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$1$
5.101...032.6t14.b.a	$5$	$ 2^{10} \cdot 3^{10} \cdot 7^{5}$	$3$	5.1.16003008.2	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$1$
5.102...264.12t183.a.a	$5$	$ 2^{6} \cdot 126349^{2}$	$2$	6.6.8086336.1	$S_6$	$S_6$	$S_6$	$1$	$5$
5.102...000.10t13.a.a	$5$	$ 2^{4} \cdot 3^{8} \cdot 5^{10}$	$3$	5.1.2531250000.2	$S_5$	$S_5$	$S_5$	$1$	$1$
5.102...000.10t13.b.a	$5$	$ 2^{4} \cdot 3^{8} \cdot 5^{10}$	$3$	5.1.2531250000.15	$S_5$	$S_5$	$S_5$	$1$	$1$
5.102...000.10t13.c.a	$5$	$ 2^{4} \cdot 3^{8} \cdot 5^{10}$	$3$	5.1.2531250000.29	$S_5$	$S_5$	$S_5$	$1$	$1$
5.102...000.10t13.d.a	$5$	$ 2^{4} \cdot 3^{8} \cdot 5^{10}$	$3$	5.1.632812500.1	$S_5$	$S_5$	$S_5$	$1$	$1$
5.102...000.10t13.e.a	$5$	$ 2^{4} \cdot 3^{8} \cdot 5^{10}$	$3$	5.1.632812500.4	$S_5$	$S_5$	$S_5$	$1$	$1$
5.102...000.10t13.f.a	$5$	$ 2^{4} \cdot 3^{8} \cdot 5^{10}$	$3$	5.1.632812500.6	$S_5$	$S_5$	$S_5$	$1$	$1$
5.102...432.6t14.a.a	$5$	$ 2^{4} \cdot 4003^{3}$	$2$	5.3.64048.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$-1$
5.102...769.10t13.a.a	$5$	$ 3^{2} \cdot 337871^{2}$	$2$	5.5.1013613.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.102...649.6t12.a.a	$5$	$ 3^{6} \cdot 23^{4} \cdot 71^{2}$	$3$	5.5.216001809.1	$A_5$	$A_5$	$\PSL(2,5)$	$1$	$5$
5.103...369.10t13.a.a	$5$	$ 107^{2} \cdot 9491^{2}$	$2$	5.5.1015537.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.104...824.10t13.a.a	$5$	$ 2^{4} \cdot 3^{2} \cdot 85061^{2}$	$3$	5.5.1020732.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.104...841.10t13.a.a	$5$	$ 3^{6} \cdot 109^{2} \cdot 347^{2}$	$3$	5.5.1021221.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.104...736.6t12.a.a	$5$	$ 2^{8} \cdot 11^{4} \cdot 23^{4}$	$3$	5.5.16386304.1	$A_5$	$A_5$	$\PSL(2,5)$	$1$	$5$
5.104...961.10t13.a.a	$5$	$ 83^{2} \cdot 12343^{2}$	$2$	5.5.1024469.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.104...000.6t14.a.a	$5$	$ 2^{11} \cdot 3^{8} \cdot 5^{7}$	$3$	5.3.202500000.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$-1$
5.104...000.6t14.b.a	$5$	$ 2^{11} \cdot 3^{8} \cdot 5^{7}$	$3$	5.3.12960000000.10	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$-1$
5.104...000.6t14.c.a	$5$	$ 2^{11} \cdot 3^{8} \cdot 5^{7}$	$3$	5.3.12960000000.12	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$-1$
5.104...000.6t14.d.a	$5$	$ 2^{11} \cdot 3^{8} \cdot 5^{7}$	$3$	5.1.12960000000.7	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$1$
5.104...000.6t14.e.a	$5$	$ 2^{11} \cdot 3^{8} \cdot 5^{7}$	$3$	5.1.202500000.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$1$
5.104...496.10t13.a.a	$5$	$ 2^{4} \cdot 127^{2} \cdot 2017^{2}$	$3$	5.5.1024636.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.105...184.10t13.a.a	$5$	$ 2^{4} \cdot 269^{2} \cdot 953^{2}$	$3$	5.5.1025428.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.105...561.10t13.a.a	$5$	$ 11^{2} \cdot 93371^{2}$	$2$	5.5.1027081.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.106...001.10t13.a.a	$5$	$ 3^{2} \cdot 343667^{2}$	$2$	5.5.1031001.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.106...416.6t14.a.a	$5$	$ 2^{4} \cdot 4051^{3}$	$2$	5.3.64816.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$-1$
5.106...600.10t13.a.a	$5$	$ 2^{4} \cdot 5^{2} \cdot 51607^{2}$	$3$	5.5.1032140.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.106...375.6t14.a.a	$5$	$ 3^{6} \cdot 5^{3} \cdot 227^{3}$	$3$	5.3.91935.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$-1$
5.106...844.12t183.a.a	$5$	$ 2^{2} \cdot 516469^{2}$	$2$	6.6.8263504.1	$S_6$	$S_6$	$S_6$	$1$	$5$
5.106...681.10t13.a.a	$5$	$ 797^{2} \cdot 1297^{2}$	$2$	5.5.1033709.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.107...089.10t13.a.a	$5$	$ 211^{2} \cdot 4903^{2}$	$2$	5.5.1034533.1	$S_5$	$S_5$	$S_5$	$1$	$5$
5.107...989.6t14.a.a	$5$	$ 53^{3} \cdot 193^{3}$	$2$	5.1.10229.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$1$
5.107...625.10t13.a.a	$5$	$ 5^{6} \cdot 7^{4} \cdot 13^{4}$	$3$	5.1.214296753125.6	$S_5$	$S_5$	$S_5$	$1$	$1$
5.107...625.10t13.b.a	$5$	$ 5^{6} \cdot 7^{4} \cdot 13^{4}$	$3$	5.1.214296753125.4	$S_5$	$S_5$	$S_5$	$1$	$1$
5.107...121.6t12.a.a	$5$	$ 11^{2} \cdot 307^{4}$	$2$	5.1.11404129.1	$A_5$	$A_5$	$\PSL(2,5)$	$1$	$1$
5.107...000.6t14.a.a	$5$	$ 2^{12} \cdot 5^{6} \cdot 7^{5}$	$3$	5.1.5488000000.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$1$
5.107...000.6t14.b.a	$5$	$ 2^{12} \cdot 5^{6} \cdot 7^{5}$	$3$	5.1.5488000000.2	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$1$
5.108...933.6t14.a.a	$5$	$ 43^{3} \cdot 239^{3}$	$2$	5.1.10277.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$1$
5.108...584.12t183.a.a	$5$	$ 2^{8} \cdot 65167^{2}$	$2$	6.6.4170688.1	$S_6$	$S_6$	$S_6$	$1$	$5$