Artin representation search results

Results (1-50 of 1813 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
14.104...761.21t38.a.a	$14$	$ 7^{4} \cdot 37^{4} \cdot 3907^{4}$	$3$	7.3.1011913.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.106...441.21t38.a.a	$14$	$ 1016777^{4}$	$1$	7.3.1016777.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.107...921.21t38.a.a	$14$	$ 1018217^{4}$	$1$	7.3.1018217.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.114...361.21t38.a.a	$14$	$ 1033441^{4}$	$1$	7.3.1033441.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.117...472.30t565.a.a	$14$	$ 2^{34} \cdot 3^{29}$	$2$	7.1.725594112.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.117...472.30t565.b.a	$14$	$ 2^{34} \cdot 3^{29}$	$2$	7.1.725594112.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.119...241.21t38.a.a	$14$	$ 1045573^{4}$	$1$	7.3.1045573.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.120...521.21t38.a.a	$14$	$ 41^{4} \cdot 25537^{4}$	$2$	7.3.1047017.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.120...001.21t38.a.a	$14$	$ 1048193^{4}$	$1$	7.3.1048193.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.127...921.21t38.a.a	$14$	$ 499^{4} \cdot 2131^{4}$	$2$	7.3.1063369.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.130...001.21t38.a.a	$14$	$ 1069193^{4}$	$1$	7.3.1069193.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.132...921.21t38.a.a	$14$	$ 43^{4} \cdot 107^{4} \cdot 233^{4}$	$3$	7.3.1072033.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.135...001.21t38.a.a	$14$	$ 19^{4} \cdot 56747^{4}$	$2$	7.3.1078193.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.138...961.21t38.a.a	$14$	$ 1084313^{4}$	$1$	7.3.1084313.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.139...921.21t38.a.a	$14$	$ 137^{4} \cdot 7937^{4}$	$2$	7.3.1087369.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.148...921.21t38.a.a	$14$	$ 1104217^{4}$	$1$	7.3.1104217.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.149...441.21t38.a.a	$14$	$ 23^{4} \cdot 73^{4} \cdot 659^{4}$	$3$	7.3.1106461.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.157...296.30t565.a.a	$14$	$ 2^{36} \cdot 3^{28}$	$2$	7.1.241864704.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.157...296.30t565.b.a	$14$	$ 2^{36} \cdot 3^{28}$	$2$	7.1.241864704.2	$S_7$	$S_7$	$S_7$	$1$	$0$
14.157...296.42t413.a.a	$14$	$ 2^{36} \cdot 3^{28}$	$2$	7.1.241864704.1	$S_7$	$S_7$	$S_7$	$1$	$-2$
14.158...681.21t38.a.a	$14$	$ 163^{4} \cdot 6883^{4}$	$2$	7.3.1121929.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.159...841.21t38.a.a	$14$	$ 263^{4} \cdot 4271^{4}$	$2$	7.3.1123273.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.159...641.21t38.a.a	$14$	$ 29^{4} \cdot 38737^{4}$	$2$	7.3.1123373.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.160...041.21t38.a.a	$14$	$ 1125361^{4}$	$1$	7.3.1125361.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.161...081.21t38.a.a	$14$	$ 311^{4} \cdot 3623^{4}$	$2$	7.3.1126753.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.165...201.21t38.a.a	$14$	$ 47^{4} \cdot 89^{4} \cdot 271^{4}$	$3$	7.3.1133593.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.166...721.21t38.a.a	$14$	$ 1135633^{4}$	$1$	7.3.1135633.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.179...521.21t38.a.a	$14$	$ 47^{4} \cdot 24623^{4}$	$2$	7.3.1157281.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.180...201.21t38.a.a	$14$	$ 953^{4} \cdot 1217^{4}$	$2$	7.3.1159801.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.182...201.21t38.a.a	$14$	$ 113^{4} \cdot 10289^{4}$	$2$	7.3.1162657.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.183...201.21t38.a.a	$14$	$ 881^{4} \cdot 1321^{4}$	$2$	7.3.1163801.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.192...241.21t38.a.a	$14$	$ 11^{4} \cdot 107099^{4}$	$2$	7.3.1178089.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.194...561.21t38.a.a	$14$	$ 1180241^{4}$	$1$	7.3.1180241.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.213...201.21t38.a.a	$14$	$ 61^{4} \cdot 19813^{4}$	$2$	7.3.1208593.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.217...321.21t38.a.a	$14$	$ 701^{4} \cdot 1733^{4}$	$2$	7.3.1214833.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.223...481.21t38.a.a	$14$	$ 1222729^{4}$	$1$	7.3.1222729.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.226...361.21t38.a.a	$14$	$ 197^{4} \cdot 6229^{4}$	$2$	7.3.1227113.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.231...041.21t38.a.a	$14$	$ 131^{4} \cdot 9419^{4}$	$2$	7.3.1233889.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.235...521.21t38.a.a	$14$	$ 89^{4} \cdot 13921^{4}$	$2$	7.3.1238969.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.235...944.30t565.a.a	$14$	$ 2^{35} \cdot 3^{29}$	$2$	7.1.1451188224.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.241...481.21t38.a.a	$14$	$ 103^{4} \cdot 12107^{4}$	$2$	7.3.1247021.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.255...201.21t38.a.a	$14$	$ 43^{4} \cdot 29399^{4}$	$2$	7.3.1264157.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.260...681.21t38.a.a	$14$	$ 1270429^{4}$	$1$	7.3.1270429.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.270...625.21t38.a.a	$14$	$ 5^{4} \cdot 256493^{4}$	$2$	7.3.1282465.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.270...321.21t38.a.a	$14$	$ 19^{4} \cdot 67499^{4}$	$2$	7.3.1282481.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.273...521.21t38.a.a	$14$	$ 1285969^{4}$	$1$	7.3.1285969.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.277...201.21t38.a.a	$14$	$ 383^{4} \cdot 3371^{4}$	$2$	7.3.1291093.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.294...081.21t38.a.a	$14$	$ 397^{4} \cdot 3301^{4}$	$2$	7.3.1310497.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.297...881.21t38.a.a	$14$	$ 1313629^{4}$	$1$	7.3.1313629.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.305...201.21t38.a.a	$14$	$ 1322593^{4}$	$1$	7.3.1322593.1	$S_7$	$S_7$	$S_7$	$1$	$2$