Artin representation search results

Results (44 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
5.5519253.10t39.a.a	$5$	$ 3 \cdot 19 \cdot 37 \cdot 2617 $	$4$	10.10.823301450757.1	$C_2 \wr S_5$	$(C_2^4:A_5) : C_2$	$C_2 \wr S_5$	$1$	$5$
5.37372928.10t37.a.a	$5$	$ 2^{10} \cdot 36497 $	$2$	10.10.1363999753216.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$1$	$5$
5.259790012416.10t38.b.a	$5$	$ 2^{16} \cdot 11^{2} \cdot 181^{2}$	$3$	10.10.16477258435328475136.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$1$	$5$
5.279566722209.10t37.b.a	$5$	$ 3 \cdot 19 \cdot 37^{4} \cdot 2617 $	$4$	10.10.41702688385194321.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$1$	$5$
5.142...288.10t37.b.a	$5$	$ 2^{15} \cdot 11^{3} \cdot 181^{2}$	$3$	10.10.16477258435328475136.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$1$	$5$
5.181...944.10t38.a.a	$5$	$ 2^{10} \cdot 36497^{4}$	$2$	10.10.1363999753216.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$1$	$5$
5.183...677.10t39.a.a	$5$	$ 3^{4} \cdot 19^{4} \cdot 37 \cdot 2617^{4}$	$4$	10.10.823301450757.1	$C_2 \wr S_5$	$(C_2^4:A_5) : C_2$	$C_2 \wr S_5$	$1$	$5$
5.927...081.10t38.b.a	$5$	$ 3^{4} \cdot 19^{4} \cdot 37^{4} \cdot 2617^{4}$	$4$	10.10.41702688385194321.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$1$	$5$
10.509...448.16t1328.a.a	$10$	$ 2^{20} \cdot 36497^{3}$	$2$	10.10.1363999753216.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.622...249.16t1328.b.a	$10$	$ 3^{3} \cdot 19^{3} \cdot 37^{4} \cdot 2617^{3}$	$4$	10.10.41702688385194321.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.186...656.20t223.a.a	$10$	$ 2^{20} \cdot 36497^{4}$	$2$	10.10.1363999753216.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.851...881.20t289.a.a	$10$	$ 3^{3} \cdot 19^{3} \cdot 37^{6} \cdot 2617^{3}$	$4$	10.10.823301450757.1	$C_2 \wr S_5$	$(C_2^4:A_5) : C_2$	$C_2\wr S_5$	$1$	$10$
10.927...081.20t223.b.a	$10$	$ 3^{4} \cdot 19^{4} \cdot 37^{4} \cdot 2617^{4}$	$4$	10.10.41702688385194321.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.221...616.20t218.b.a	$10$	$ 2^{32} \cdot 11^{4} \cdot 181^{6}$	$3$	10.10.16477258435328475136.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.121...888.16t1328.b.a	$10$	$ 2^{31} \cdot 11^{5} \cdot 181^{6}$	$3$	10.10.16477258435328475136.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.486...552.20t222.b.a	$10$	$ 2^{33} \cdot 11^{5} \cdot 181^{6}$	$3$	10.10.16477258435328475136.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.679...032.30t329.a.a	$10$	$ 2^{20} \cdot 36497^{5}$	$2$	10.10.1363999753216.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.101...281.30t517.a.a	$10$	$ 3^{5} \cdot 19^{5} \cdot 37^{2} \cdot 2617^{5}$	$4$	10.10.823301450757.1	$C_2 \wr S_5$	$(C_2^4:A_5) : C_2$	$C_2\wr S_5$	$1$	$10$
10.267...536.20t223.b.a	$10$	$ 2^{32} \cdot 11^{6} \cdot 181^{6}$	$3$	10.10.16477258435328475136.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.127...889.20t285.a.a	$10$	$ 3^{4} \cdot 19^{4} \cdot 37^{6} \cdot 2617^{4}$	$4$	10.10.823301450757.1	$C_2 \wr S_5$	$(C_2^4:A_5) : C_2$	$C_2\wr S_5$	$1$	$10$
10.398...768.30t329.b.a	$10$	$ 2^{31} \cdot 11^{5} \cdot 181^{8}$	$3$	10.10.16477258435328475136.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.247...904.20t218.a.a	$10$	$ 2^{20} \cdot 36497^{6}$	$2$	10.10.1363999753216.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.206...441.20t218.b.a	$10$	$ 3^{6} \cdot 19^{6} \cdot 37^{4} \cdot 2617^{6}$	$4$	10.10.41702688385194321.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.904...288.20t222.a.a	$10$	$ 2^{20} \cdot 36497^{7}$	$2$	10.10.1363999753216.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.259...929.30t329.b.a	$10$	$ 3^{5} \cdot 19^{5} \cdot 37^{8} \cdot 2617^{5}$	$4$	10.10.41702688385194321.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.282...729.20t285.a.a	$10$	$ 3^{6} \cdot 19^{6} \cdot 37^{6} \cdot 2617^{6}$	$4$	10.10.823301450757.1	$C_2 \wr S_5$	$(C_2^4:A_5) : C_2$	$C_2\wr S_5$	$1$	$10$
10.308...529.20t222.b.a	$10$	$ 3^{7} \cdot 19^{7} \cdot 37^{4} \cdot 2617^{7}$	$4$	10.10.41702688385194321.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$10$
10.421...201.20t289.a.a	$10$	$ 3^{7} \cdot 19^{7} \cdot 37^{6} \cdot 2617^{7}$	$4$	10.10.823301450757.1	$C_2 \wr S_5$	$(C_2^4:A_5) : C_2$	$C_2\wr S_5$	$1$	$10$
15.558...093.30t524.a.a	$15$	$ 3^{6} \cdot 19^{6} \cdot 37^{3} \cdot 2617^{6}$	$4$	10.10.823301450757.1	$C_2 \wr S_5$	$(C_2^4:A_5) : C_2$	$C_2\wr S_5$	$1$	$15$
15.253...696.30t333.a.a	$15$	$ 2^{30} \cdot 36497^{6}$	$2$	10.10.1363999753216.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$15$
15.103...488.30t332.b.a	$15$	$ 2^{47} \cdot 11^{7} \cdot 181^{10}$	$3$	10.10.16477258435328475136.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$15$
15.569...184.30t333.b.a	$15$	$ 2^{46} \cdot 11^{8} \cdot 181^{10}$	$3$	10.10.16477258435328475136.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$15$
15.725...161.30t333.b.a	$15$	$ 3^{6} \cdot 19^{6} \cdot 37^{12} \cdot 2617^{6}$	$4$	10.10.41702688385194321.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$15$
15.123...208.30t332.a.a	$15$	$ 2^{30} \cdot 36497^{9}$	$2$	10.10.1363999753216.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$15$
15.185...237.30t524.a.a	$15$	$ 3^{9} \cdot 19^{9} \cdot 37^{3} \cdot 2617^{9}$	$4$	10.10.823301450757.1	$C_2 \wr S_5$	$(C_2^4:A_5) : C_2$	$C_2\wr S_5$	$1$	$15$
15.240...249.30t332.b.a	$15$	$ 3^{9} \cdot 19^{9} \cdot 37^{12} \cdot 2617^{9}$	$4$	10.10.41702688385194321.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$15$
20.126...992.40t1676.a.a	$20$	$ 2^{40} \cdot 36497^{9}$	$2$	10.10.1363999753216.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$20$
20.128...809.40t1676.b.a	$20$	$ 3^{9} \cdot 19^{9} \cdot 37^{8} \cdot 2617^{9}$	$4$	10.10.41702688385194321.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$20$
20.880...088.40t1676.b.a	$20$	$ 2^{63} \cdot 11^{9} \cdot 181^{14}$	$3$	10.10.16477258435328475136.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	$C_2^4:S_5$	$1$	$20$
20.168...928.60.a.a	$20$	$ 2^{40} \cdot 36497^{11}$	$2$	10.10.1363999753216.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	60	$1$	$20$
20.426...592.60.b.a	$20$	$ 2^{65} \cdot 11^{11} \cdot 181^{14}$	$3$	10.10.16477258435328475136.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	60	$1$	$20$
20.240...249.60.a.a	$20$	$ 3^{9} \cdot 19^{9} \cdot 37^{12} \cdot 2617^{9}$	$4$	10.10.823301450757.1	$C_2 \wr S_5$	$(C_2^4:A_5) : C_2$	60	$1$	$20$
20.285...849.60.b.a	$20$	$ 3^{11} \cdot 19^{11} \cdot 37^{8} \cdot 2617^{11}$	$4$	10.10.41702688385194321.1	$(C_2^4:A_5) : C_2$	$(C_2^4:A_5) : C_2$	60	$1$	$20$
20.535...689.60.a.a	$20$	$ 3^{11} \cdot 19^{11} \cdot 37^{12} \cdot 2617^{11}$	$4$	10.10.823301450757.1	$C_2 \wr S_5$	$(C_2^4:A_5) : C_2$	60	$1$	$20$