Artin representation search results

Results (24 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
16.306...000.144.a.a 16.306...000.144.a.b	$16$	$ 2^{36} \cdot 3^{14} \cdot 5^{30}$	$3$	11.3.6561000000000000000000.1	$M_{11}$	$M_{11}$	144	$0$	$0$
21.383...104.336.a.a 21.383...104.336.a.b	$21$	$ 2^{48} \cdot 3217^{18}$	$2$	8.0.72641749645773438449680384.1	$A_8$	$A_8$	336	$0$	$-3$
21.741...944.336.a.a 21.741...944.336.a.b	$21$	$ 2^{60} \cdot 51473^{18}$	$2$	8.0.19501894337558159417628591379185664.1	$A_8$	$A_8$	336	$0$	$-3$
21.288...696.336.a.a 21.288...696.336.a.b	$21$	$ 2^{82} \cdot 7^{26} \cdot 11^{18} \cdot 191^{18}$	$4$	8.0.133100753213221593424899389161209856.1	$A_8$	$A_8$	336	$0$	$-3$
21.182...984.336.a.a 21.182...984.336.a.b	$21$	$ 2^{64} \cdot 29^{18} \cdot 3917^{18}$	$3$	8.0.2252730971538337484304305478905626624.1	$A_8$	$A_8$	336	$0$	$-3$
21.815...296.336.a.a 21.815...296.336.a.b	$21$	$ 2^{82} \cdot 113^{18} \cdot 911^{18}$	$3$	8.0.319463173328482073097337827900516204544.1	$A_8$	$A_8$	336	$0$	$-3$
21.816...456.336.a.a 21.816...456.336.a.b	$21$	$ 2^{82} \cdot 102953^{18}$	$2$	8.0.319649416647163494229316963315979649024.1	$A_8$	$A_8$	336	$0$	$-3$
21.218...856.336.a.a 21.218...856.336.a.b	$21$	$ 2^{56} \cdot 11^{18} \cdot 74869^{18}$	$3$	8.0.1277992348243533546275162547509832257536.1	$A_8$	$A_8$	336	$0$	$-3$
21.876...456.336.a.a 21.876...456.336.a.b	$21$	$ 2^{58} \cdot 23^{18} \cdot 35809^{18}$	$3$	8.0.5113757317969899544771546325450569302016.1	$A_8$	$A_8$	336	$0$	$-3$
21.896...384.336.a.a 21.896...384.336.a.b	$21$	$ 2^{68} \cdot 823547^{18}$	$2$	8.0.81784359890073480322911752930604437733376.1	$A_8$	$A_8$	336	$0$	$-3$
21.896...416.336.a.a 21.896...416.336.a.b	$21$	$ 2^{68} \cdot 43^{18} \cdot 107^{18} \cdot 179^{18}$	$4$	8.0.81803428774472904272307991671908472193024.1	$A_8$	$A_8$	336	$0$	$-3$
21.898...944.336.a.a 21.898...944.336.a.b	$21$	$ 2^{68} \cdot 823643^{18}$	$2$	8.0.81841577658693500678182700989203572064256.1	$A_8$	$A_8$	336	$0$	$-3$
21.384...904.336.a.a 21.384...904.336.a.b	$21$	$ 2^{64} \cdot 3294173^{18}$	$2$	8.0.1339918344154038594028110691225010840890507264.1	$A_8$	$A_8$	336	$0$	$-3$
21.384...656.336.a.a 21.384...656.336.a.b	$21$	$ 2^{64} \cdot 11^{18} \cdot 299471^{18}$	$3$	8.0.1339937868468943908837290142533567581866950656.1	$A_8$	$A_8$	336	$0$	$-3$
21.204...144.336.a.a 21.204...144.336.a.b	$21$	$ 2^{60} \cdot 11^{18} \cdot 435593^{18}$	$3$	8.0.3172352108695376607450650959096645338500694016.1	$A_8$	$A_8$	336	$0$	$-3$
21.374...144.336.a.a 21.374...144.336.a.b	$21$	$ 2^{66} \cdot 7^{26} \cdot 268913^{18}$	$3$	8.0.36574214064047828349270556528863627894423814144.1	$A_8$	$A_8$	336	$0$	$-3$
21.105...784.336.a.a 21.105...784.336.a.b	$21$	$ 2^{66} \cdot 67^{18} \cdot 193^{18} \cdot 1019^{18}$	$4$	8.0.87812768645884871208063446530730170282275531390976.1	$A_8$	$A_8$	336	$0$	$-3$
21.105...696.336.a.a 21.105...696.336.a.b	$21$	$ 2^{66} \cdot 701^{18} \cdot 18797^{18}$	$3$	8.0.87813088530439533539051393535468530591915378212864.1	$A_8$	$A_8$	336	$0$	$-3$
21.105...056.336.a.a 21.105...056.336.a.b	$21$	$ 2^{66} \cdot 11^{18} \cdot 151^{18} \cdot 7933^{18}$	$4$	8.0.87813728302462049260764173611685476867240408121344.1	$A_8$	$A_8$	336	$0$	$-3$
21.105...224.336.a.a 21.105...224.336.a.b	$21$	$ 2^{66} \cdot 23^{18} \cdot 572903^{18}$	$3$	8.0.87815967535129608031908549089667529769029306679296.1	$A_8$	$A_8$	336	$0$	$-3$
21.402...624.336.a.a 21.402...624.336.a.b	$21$	$ 2^{60} \cdot 7^{26} \cdot 1075649^{18}$	$3$	8.0.2340710530180884465731804242655471841228462751744.1	$A_8$	$A_8$	336	$0$	$-3$
21.113...456.336.a.a 21.113...456.336.a.b	$21$	$ 2^{60} \cdot 52706761^{18}$	$2$	8.0.5620020392178081715128903113480438691650659827318784.1	$A_8$	$A_8$	336	$0$	$-3$
21.113...944.336.a.a 21.113...944.336.a.b	$21$	$ 2^{60} \cdot 23^{18} \cdot 43^{18} \cdot 137^{18} \cdot 389^{18}$	$5$	8.0.5620030628480917722529796097626934820084447048892416.1	$A_8$	$A_8$	336	$0$	$-3$
21.113...184.336.a.a 21.113...184.336.a.b	$21$	$ 2^{60} \cdot 29^{18} \cdot 37^{18} \cdot 49121^{18}$	$4$	8.0.5620066455663197695561554590870531303687507769819136.1	$A_8$	$A_8$	336	$0$	$-3$