Artin representation search results

Results (1-50 of 1911 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...541.6t16.a.a	$5$	$ 3^{3} \cdot 17^{3} \cdot 4231^{3}$	$3$	6.2.215781.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.101...800.6t14.a.a	$5$	$ 2^{9} \cdot 5^{2} \cdot 9241^{3}$	$3$	5.5.1848200.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.101...989.6t16.a.a	$5$	$ 13^{3} \cdot 16633^{3}$	$2$	6.2.216229.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.101...003.6t16.a.a	$5$	$ 7^{3} \cdot 30941^{3}$	$2$	6.4.216587.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.101...853.6t14.a.a	$5$	$ 23^{3} \cdot 9419^{3}$	$2$	5.5.216637.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.101...733.6t16.a.a	$5$	$ 43^{3} \cdot 5039^{3}$	$2$	6.2.216677.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.102...389.6t14.a.a	$5$	$ 3^{2} \cdot 151^{3} \cdot 691^{3}$	$3$	5.5.939069.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.102...509.6t16.a.a	$5$	$ 217069^{3}$	$1$	6.2.217069.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.102...277.6t16.a.a	$5$	$ 217253^{3}$	$1$	6.2.217253.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.103...056.6t14.a.a	$5$	$ 2^{8} \cdot 34351^{3}$	$2$	5.5.549616.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.104...584.12t183.a.a	$5$	$ 2^{6} \cdot 3571^{4}$	$2$	6.4.228544.1	$S_6$	$S_6$	$S_6$	$1$	$-3$
5.104...824.6t14.a.a	$5$	$ 2^{6} \cdot 54631^{3}$	$2$	5.5.218524.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.105...717.6t16.a.a	$5$	$ 61^{3} \cdot 3593^{3}$	$2$	6.2.219173.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.106...776.6t14.a.a	$5$	$ 2^{4} \cdot 87221^{3}$	$2$	5.5.1395536.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.107...625.12t183.a.a	$5$	$ 5^{4} \cdot 7^{2} \cdot 769^{4}$	$3$	6.2.188405.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.107...000.6t16.a.a	$5$	$ 2^{4} \cdot 5^{3} \cdot 83^{3} \cdot 211^{3}$	$4$	6.2.350260.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.107...309.6t14.a.a	$5$	$ 149^{3} \cdot 1481^{3}$	$2$	5.5.220669.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.107...829.6t16.a.a	$5$	$ 220709^{3}$	$1$	6.2.220709.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.108...977.6t16.a.a	$5$	$ 11^{3} \cdot 20123^{3}$	$2$	6.2.221353.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.109...949.6t16.a.a	$5$	$ 222149^{3}$	$1$	6.2.222149.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.109...641.12t183.a.a	$5$	$ 3^{4} \cdot 3413^{4}$	$2$	6.2.276453.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.110...064.6t14.a.a	$5$	$ 2^{4} \cdot 13^{3} \cdot 6793^{3}$	$3$	5.5.1412944.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.111...521.6t12.a.a	$5$	$ 10267^{4}$	$1$	5.5.105411289.1	$A_5$	$A_5$	$\PSL(2,5)$	$1$	$5$
5.112...368.6t16.a.a	$5$	$ 2^{4} \cdot 88897^{3}$	$2$	6.6.5689408.1	$S_6$	$S_6$	$S_6$	$1$	$5$
5.112...937.6t16.a.a	$5$	$ 224033^{3}$	$1$	6.2.224033.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.112...269.6t16.a.a	$5$	$ 7^{3} \cdot 32027^{3}$	$2$	6.2.224189.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.113...189.6t16.a.a	$5$	$ 224629^{3}$	$1$	6.2.224629.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.113...917.6t14.a.a	$5$	$ 53^{3} \cdot 4241^{3}$	$2$	5.5.224773.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.113...833.6t16.a.a	$5$	$ 224977^{3}$	$1$	6.2.224977.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.114...017.6t16.a.a	$5$	$ 173^{3} \cdot 1301^{3}$	$2$	6.2.225073.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.114...000.6t16.a.a	$5$	$ 2^{4} \cdot 5^{3} \cdot 61^{3} \cdot 293^{3}$	$4$	6.2.357460.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.114...827.6t16.a.a	$5$	$ 17^{3} \cdot 13259^{3}$	$2$	6.4.225403.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.114...328.6t16.a.a	$5$	$ 2^{4} \cdot 89477^{3}$	$2$	6.2.357908.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.115...509.6t16.a.a	$5$	$ 181^{3} \cdot 1249^{3}$	$2$	6.2.226069.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.116...704.6t14.a.a	$5$	$ 2^{4} \cdot 89989^{3}$	$2$	5.5.1439824.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.117...464.6t16.a.a	$5$	$ 2^{4} \cdot 251^{3} \cdot 359^{3}$	$3$	6.2.360436.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.117...824.6t14.a.a	$5$	$ 2^{4} \cdot 23^{3} \cdot 3923^{3}$	$3$	5.5.1443664.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.118...789.6t16.a.a	$5$	$ 3^{3} \cdot 7^{3} \cdot 19^{3} \cdot 571^{3}$	$4$	6.2.227829.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.119...121.6t14.a.a	$5$	$ 3^{7} \cdot 17627^{3}$	$2$	5.5.475929.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.120...264.12t183.a.a	$5$	$ 2^{6} \cdot 3701^{4}$	$2$	6.2.236864.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.120...357.6t16.a.a	$5$	$ 229093^{3}$	$1$	6.2.229093.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.121...704.12t183.a.a	$5$	$ 2^{6} \cdot 3709^{4}$	$2$	6.2.237376.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.122...393.6t16.a.a	$5$	$ 7^{3} \cdot 83^{3} \cdot 397^{3}$	$3$	6.2.230657.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.122...137.6t14.a.a	$5$	$ 7^{4} \cdot 19^{3} \cdot 907^{3}$	$3$	5.5.844417.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.123...209.6t16.a.a	$5$	$ 230969^{3}$	$1$	6.2.230969.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.123...176.6t12.a.a	$5$	$ 2^{6} \cdot 3^{10} \cdot 239^{4}$	$3$	5.5.2665037376.1	$A_5$	$A_5$	$\PSL(2,5)$	$1$	$5$
5.123...521.6t16.a.a	$5$	$ 231241^{3}$	$1$	6.2.231241.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.124...632.6t16.a.a	$5$	$ 2^{6} \cdot 57917^{3}$	$2$	6.6.3706688.1	$S_6$	$S_6$	$S_6$	$1$	$5$
5.125...713.6t14.a.a	$5$	$ 3^{7} \cdot 7^{3} \cdot 2557^{3}$	$3$	5.5.483273.1	$S_5$	$S_5$	$\PGL(2,5)$	$1$	$5$
5.125...528.6t16.a.a	$5$	$ 2^{6} \cdot 97^{3} \cdot 599^{3}$	$3$	6.2.232412.1	$S_6$	$S_6$	$S_6$	$1$	$1$