Artin representation search results

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Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
2.108...605.4t3.a.a	$2$	$ 5 \cdot 421^{2} \cdot 1109^{2}$	$3$	4.4.458859137165705.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.110...805.4t3.b.a	$2$	$ 5 \cdot 461^{2} \cdot 1021^{2}$	$3$	4.4.521374764594156205.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.118...025.8t17.a.a 2.118...025.8t17.a.b	$2$	$ 5^{2} \cdot 181^{2} \cdot 1201^{2}$	$3$	8.8.802517990790417265625.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.126...732.4t3.b.a	$2$	$ 2^{2} \cdot 3^{2} \cdot 37 \cdot 30851^{2}$	$4$	4.2.117336523562663796.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$0$
2.130...188.4t3.a.a	$2$	$ 2^{2} \cdot 13 \cdot 43^{2} \cdot 3691^{2}$	$4$	4.2.207893468919401044.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$0$
2.186...752.4t3.b.a	$2$	$ 2^{3} \cdot 3^{2} \cdot 97^{2} \cdot 1657^{2}$	$4$	4.4.298961472895235208.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.186...752.8t17.a.a 2.186...752.8t17.a.b	$2$	$ 2^{3} \cdot 3^{2} \cdot 97^{2} \cdot 1657^{2}$	$4$	8.8.12398530203911194546176.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.217...192.4t3.a.a	$2$	$ 2^{5} \cdot 3^{2} \cdot 89^{2} \cdot 977^{2}$	$4$	4.4.189341668064210976.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.220...645.4t3.a.a	$2$	$ 3^{2} \cdot 5 \cdot 389^{2} \cdot 569^{2}$	$4$	4.4.1254436019185005.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.239...352.4t3.b.a	$2$	$ 2^{5} \cdot 127^{2} \cdot 2153^{2}$	$3$	4.4.5150975802285856.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.288...680.8t17.a.a 2.288...680.8t17.a.b	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 61 \cdot 4049^{2}$	$5$	8.0.51218633157473917440000.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$-2$
2.366...240.8t8.a.a 2.366...240.8t8.a.b	$2$	$ 2^{7} \cdot 5 \cdot 75721^{2}$	$3$	8.2.935393432006456779067247634212221157376000.1	$QD_{16}$	$D_4$	$QD_{16}$	$0$	$0$
2.405...205.4t3.b.a	$2$	$ 5 \cdot 29^{2} \cdot 61^{2} \cdot 509^{2}$	$4$	4.4.3650117543126592305.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.498...688.4t3.a.a	$2$	$ 2^{3} \cdot 3^{2} \cdot 17^{2} \cdot 113^{2} \cdot 137^{2}$	$5$	4.4.1312430433345088776.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.507...928.8t8.a.a 2.507...928.8t8.a.b	$2$	$ 2^{4} \cdot 3^{2} \cdot 37 \cdot 30851^{2}$	$4$	8.2.3017439923689983046962428948943010171966464.1	$QD_{16}$	$D_4$	$QD_{16}$	$0$	$0$
2.523...752.8t8.a.a 2.523...752.8t8.a.b	$2$	$ 2^{4} \cdot 13 \cdot 43^{2} \cdot 3691^{2}$	$4$	8.2.5707126763833682095145690139260138749490176.1	$QD_{16}$	$D_4$	$QD_{16}$	$0$	$0$
2.663...005.4t3.b.a	$2$	$ 5 \cdot 1039^{2} \cdot 1109^{2}$	$3$	4.4.7361998725020545.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.663...688.4t3.a.a	$2$	$ 2^{3} \cdot 569^{2} \cdot 1601^{2}$	$3$	4.4.10628904758852488.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.759...812.4t3.a.a	$2$	$ 2^{2} \cdot 17 \cdot 19^{2} \cdot 43^{2} \cdot 409^{2}$	$5$	4.2.2537143353111171236.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$0$
2.759...812.8t8.a.a 2.759...812.8t8.a.b	$2$	$ 2^{2} \cdot 17 \cdot 19^{2} \cdot 43^{2} \cdot 409^{2}$	$5$	8.2.146266304856778147245433690770070753950661184.1	$QD_{16}$	$D_4$	$QD_{16}$	$0$	$0$
2.125...568.4t3.b.a	$2$	$ 2^{3} \cdot 17^{2} \cdot 97^{2} \cdot 761^{2}$	$4$	4.4.20774054539418632.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.174...536.8t17.a.a 2.174...536.8t17.a.b	$2$	$ 2^{8} \cdot 3^{2} \cdot 89^{2} \cdot 977^{2}$	$4$	8.8.8040834721749972578992128.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.175...328.4t3.a.a	$2$	$ 2^{5} \cdot 3^{2} \cdot 367^{2} \cdot 673^{2}$	$4$	4.4.11824146690195744.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.199...752.8t17.a.a 2.199...752.8t17.a.b	$2$	$ 2^{5} \cdot 3^{2} \cdot 17^{2} \cdot 113^{2} \cdot 137^{2}$	$5$	8.8.870865838907000347492352.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.365...520.4t3.b.a	$2$	$ 2^{6} \cdot 5 \cdot 149^{2} \cdot 2269^{2}$	$4$	4.4.5449764998908480.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.431...645.4t3.a.a	$2$	$ 3^{2} \cdot 5 \cdot 661^{2} \cdot 1481^{2}$	$4$	4.4.42216484732492122945.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.461...296.4t3.a.a	$2$	$ 2^{5} \cdot 3^{2} \cdot 17 \cdot 107^{2} \cdot 907^{2}$	$5$	4.2.4475222199575145504.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$0$
2.488...400.8t17.a.a 2.488...400.8t17.a.b	$2$	$ 2^{6} \cdot 5^{2} \cdot 7^{2} \cdot 61^{2} \cdot 409^{2}$	$5$	8.8.584652279727173600320000000.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.708...520.8t17.a.a 2.708...520.8t17.a.b	$2$	$ 2^{6} \cdot 5 \cdot 461^{2} \cdot 1021^{2}$	$4$	8.8.266943879472207976960000.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.939...645.4t3.a.a	$2$	$ 3^{2} \cdot 5 \cdot 41^{2} \cdot 101^{2} \cdot 349^{2}$	$5$	4.4.135832747771856894805.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.116...600.8t17.a.a 2.116...600.8t17.a.b	$2$	$ 2^{6} \cdot 5^{2} \cdot 181^{2} \cdot 1489^{2}$	$4$	8.8.6264260306316553280000000.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.184...184.8t8.a.a 2.184...184.8t8.a.b	$2$	$ 2^{7} \cdot 3^{2} \cdot 17 \cdot 107^{2} \cdot 907^{2}$	$5$	8.2.152258540784523755161854454607003910503594983424.1	$QD_{16}$	$D_4$	$QD_{16}$	$0$	$0$
2.201...405.4t3.a.a	$2$	$ 5 \cdot 2309^{2} \cdot 2749^{2}$	$3$	4.4.1278692219496527435605.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.201...405.8t17.a.a 2.201...405.8t17.a.b	$2$	$ 5 \cdot 2309^{2} \cdot 2749^{2}$	$3$	8.8.159836527437065929450625.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.223...205.4t3.a.a	$2$	$ 5 \cdot 1289^{2} \cdot 5189^{2}$	$3$	4.4.1496165955888062535305.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.635...445.4t3.b.a	$2$	$ 3^{2} \cdot 5 \cdot 61^{2} \cdot 229^{2} \cdot 269^{2}$	$5$	4.4.2387620537199657810145.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.122...205.4t3.b.a	$2$	$ 5 \cdot 1621^{2} \cdot 9649^{2}$	$3$	4.4.19132246517585546336945.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.129...600.8t17.a.a 2.129...600.8t17.a.b	$2$	$ 2^{6} \cdot 5^{2} \cdot 29^{2} \cdot 61^{2} \cdot 509^{2}$	$5$	8.8.233607522760101907520000000.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.175...272.4t3.a.a	$2$	$ 2^{3} \cdot 17^{2} \cdot 193^{2} \cdot 4513^{2}$	$4$	4.4.25971957211761166164616.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.175...272.8t17.a.a 2.175...272.8t17.a.b	$2$	$ 2^{3} \cdot 17^{2} \cdot 193^{2} \cdot 4513^{2}$	$4$	8.8.13297642092421717076283392.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.330...408.4t3.b.a	$2$	$ 2^{3} \cdot 41^{2} \cdot 97^{2} \cdot 5113^{2}$	$4$	4.4.67264224286360920665608.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
2.601...280.8t17.a.a 2.601...280.8t17.a.b	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 41^{2} \cdot 101^{2} \cdot 349^{2}$	$6$	8.8.5633255715594449141352960000.1	$C_4\wr C_2$	$D_4$	$C_4\wr C_2$	$0$	$2$
2.938...005.4t3.a.a	$2$	$ 5 \cdot 29^{2} \cdot 109^{2} \cdot 13709^{2}$	$4$	4.4.406874826895418548549745.1	$D_{4}$	$C_2^2$	$D_{4}$	$1$	$2$
3.100...400.6t8.a.a	$3$	$ 2^{6} \cdot 5^{2} \cdot 7^{2} \cdot 37^{2} \cdot 97^{2}$	$5$	4.2.1487281600.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.120...249.42t37.a.a 3.120...249.42t37.a.b	$3$	$ 3^{2} \cdot 366019^{2}$	$2$	7.3.10851562577241.1	$\GL(3,2)$	$\GL(3,2)$	$\PSL(2,7)$	$0$	$-1$
3.124...121.6t8.a.a	$3$	$ 3^{2} \cdot 7^{2} \cdot 97^{2} \cdot 547^{2}$	$4$	4.2.1828466199.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.130...200.4t5.a.a	$3$	$ 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 41^{2} \cdot 67^{2}$	$5$	4.2.1303950355200.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.146...796.6t8.a.a	$3$	$ 2^{2} \cdot 37^{2} \cdot 16361^{2}$	$3$	4.4.39616983508.1	$S_4$	$S_4$	$S_4$	$1$	$3$
3.164...400.6t8.a.a	$3$	$ 2^{6} \cdot 5^{2} \cdot 32027^{2}$	$3$	4.2.51243200.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.164...400.6t8.b.a	$3$	$ 2^{6} \cdot 5^{2} \cdot 32027^{2}$	$3$	4.2.51243200.2	$S_4$	$S_4$	$S_4$	$1$	$-1$

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