Artin representation search results

Results (28 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
24.382...000.120.a.a 24.382...000.120.a.b	$24$	$ 2^{54} \cdot 5^{12} \cdot 71^{20} \cdot 26449^{14}$	$4$	10.10.23300317255158046392320000.1	$A_5 \wr C_2$	$A_5 \wr C_2$	120	$1$	$24$
25.121...000.36t7075.a.a	$25$	$ 2^{48} \cdot 5^{12} \cdot 71^{20} \cdot 26449^{10}$	$4$	10.10.23300317255158046392320000.1	$A_5 \wr C_2$	$A_5 \wr C_2$	$\SOPlus(4,4)$	$1$	$25$
25.399...000.72.a.a	$25$	$ 2^{63} \cdot 5^{12} \cdot 71^{20} \cdot 26449^{10}$	$4$	10.10.23300317255158046392320000.1	$A_5 \wr C_2$	$A_5 \wr C_2$	72	$1$	$25$
27.334...376.28t165.a.a	$27$	$ 2^{30} \cdot 7^{42}$	$2$	9.1.72313663744.1	$\mathrm{P}\Gamma\mathrm{L}(2,8)$	${}^2G(2,3)$	${}^2G(2,3)$	$1$	$3$
28.278...936.56.a.a	$28$	$ 2^{64} \cdot 3217^{24}$	$2$	8.0.72641749645773438449680384.1	$A_8$	$A_8$	56	$1$	$-4$
28.144...816.56.a.a	$28$	$ 2^{80} \cdot 51473^{24}$	$2$	8.0.19501894337558159417628591379185664.1	$A_8$	$A_8$	56	$1$	$-4$
28.384...776.56.a.a	$28$	$ 2^{110} \cdot 7^{34} \cdot 11^{24} \cdot 191^{24}$	$4$	8.0.133100753213221593424899389161209856.1	$A_8$	$A_8$	56	$1$	$-4$
28.412...016.56.a.a	$28$	$ 2^{84} \cdot 29^{24} \cdot 3917^{24}$	$3$	8.0.2252730971538337484304305478905626624.1	$A_8$	$A_8$	56	$1$	$-4$
28.260...024.56.a.a	$28$	$ 2^{110} \cdot 113^{24} \cdot 911^{24}$	$3$	8.0.319463173328482073097337827900516204544.1	$A_8$	$A_8$	56	$1$	$-4$
28.260...944.56.a.a	$28$	$ 2^{110} \cdot 102953^{24}$	$2$	8.0.319649416647163494229316963315979649024.1	$A_8$	$A_8$	56	$1$	$-4$
28.279...816.56.a.a	$28$	$ 2^{68} \cdot 11^{24} \cdot 74869^{24}$	$3$	8.0.1277992348243533546275162547509832257536.1	$A_8$	$A_8$	56	$1$	$-4$
28.448...296.56.a.a	$28$	$ 2^{72} \cdot 23^{24} \cdot 35809^{24}$	$3$	8.0.5113757317969899544771546325450569302016.1	$A_8$	$A_8$	56	$1$	$-4$
28.732...384.56.a.a	$28$	$ 2^{86} \cdot 823547^{24}$	$2$	8.0.81784359890073480322911752930604437733376.1	$A_8$	$A_8$	56	$1$	$-4$
28.733...984.56.a.a	$28$	$ 2^{86} \cdot 43^{24} \cdot 107^{24} \cdot 179^{24}$	$4$	8.0.81803428774472904272307991671908472193024.1	$A_8$	$A_8$	56	$1$	$-4$
28.735...664.56.a.a	$28$	$ 2^{86} \cdot 823643^{24}$	$2$	8.0.81841577658693500678182700989203572064256.1	$A_8$	$A_8$	56	$1$	$-4$
28.515...656.56.a.a	$28$	$ 2^{84} \cdot 3294173^{24}$	$2$	8.0.1339918344154038594028110691225010840890507264.1	$A_8$	$A_8$	56	$1$	$-4$
28.515...336.56.a.a	$28$	$ 2^{84} \cdot 11^{24} \cdot 299471^{24}$	$3$	8.0.1339937868468943908837290142533567581866950656.1	$A_8$	$A_8$	56	$1$	$-4$
28.648...304.56.a.a	$28$	$ 2^{78} \cdot 11^{24} \cdot 435593^{24}$	$3$	8.0.3172352108695376607450650959096645338500694016.1	$A_8$	$A_8$	56	$1$	$-4$
28.136...736.56.a.a	$28$	$ 2^{90} \cdot 7^{34} \cdot 268913^{24}$	$3$	8.0.36574214064047828349270556528863627894423814144.1	$A_8$	$A_8$	56	$1$	$-4$
28.941...256.56.a.a	$28$	$ 2^{78} \cdot 7^{34} \cdot 1075649^{24}$	$3$	8.0.2340710530180884465731804242655471841228462751744.1	$A_8$	$A_8$	56	$1$	$-4$
28.929...184.56.a.a	$28$	$ 2^{90} \cdot 67^{24} \cdot 193^{24} \cdot 1019^{24}$	$4$	8.0.87812768645884871208063446530730170282275531390976.1	$A_8$	$A_8$	56	$1$	$-4$
28.929...344.56.a.a	$28$	$ 2^{90} \cdot 701^{24} \cdot 18797^{24}$	$3$	8.0.87813088530439533539051393535468530591915378212864.1	$A_8$	$A_8$	56	$1$	$-4$
28.929...264.56.a.a	$28$	$ 2^{90} \cdot 11^{24} \cdot 151^{24} \cdot 7933^{24}$	$4$	8.0.87813728302462049260764173611685476867240408121344.1	$A_8$	$A_8$	56	$1$	$-4$
28.929...304.56.a.a	$28$	$ 2^{90} \cdot 23^{24} \cdot 572903^{24}$	$3$	8.0.87815967535129608031908549089667529769029306679296.1	$A_8$	$A_8$	56	$1$	$-4$
28.638...504.56.a.a	$28$	$ 2^{78} \cdot 52706761^{24}$	$2$	8.0.5620020392178081715128903113480438691650659827318784.1	$A_8$	$A_8$	56	$1$	$-4$
28.638...704.56.a.a	$28$	$ 2^{78} \cdot 23^{24} \cdot 43^{24} \cdot 137^{24} \cdot 389^{24}$	$5$	8.0.5620030628480917722529796097626934820084447048892416.1	$A_8$	$A_8$	56	$1$	$-4$
28.638...024.56.a.a	$28$	$ 2^{78} \cdot 29^{24} \cdot 37^{24} \cdot 49121^{24}$	$4$	8.0.5620066455663197695561554590870531303687507769819136.1	$A_8$	$A_8$	56	$1$	$-4$
30.275...000.144.a.a 30.275...000.144.a.b	$30$	$ 2^{69} \cdot 5^{16} \cdot 71^{22} \cdot 26449^{16}$	$4$	10.10.23300317255158046392320000.1	$A_5 \wr C_2$	$A_5 \wr C_2$	144	$1$	$30$