Artin representation search results

Results (1-50 of 11029 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
3.10004.4t5.a.a	$3$	$ 2^{2} \cdot 41 \cdot 61 $	$3$	4.0.10004.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.10005.6t11.b.a	$3$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	$4$	6.0.870435.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10008.6t11.b.a	$3$	$ 2^{3} \cdot 3^{2} \cdot 139 $	$3$	6.2.1391112.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10013.6t11.a.a	$3$	$ 17 \cdot 19 \cdot 31 $	$3$	6.0.5276851.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10015.9t12.a.a 3.10015.9t12.a.b	$3$	$ 5 \cdot 2003 $	$2$	9.3.1004506753375.2	$(C_3^2:C_3):C_2$	$C_3:S_3$	$(C_3^2:C_3):C_2$	$0$	$1$
3.10017.6t11.a.a	$3$	$ 3^{3} \cdot 7 \cdot 53 $	$3$	6.0.14334327.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10020.6t11.b.a	$3$	$ 2^{2} \cdot 3 \cdot 5 \cdot 167 $	$4$	6.2.8366700.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10024.6t11.b.a	$3$	$ 2^{3} \cdot 7 \cdot 179 $	$3$	6.0.14354368.2	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10040.4t5.a.a	$3$	$ 2^{3} \cdot 5 \cdot 251 $	$3$	4.0.10040.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.10044.6t11.c.a	$3$	$ 2^{2} \cdot 3^{4} \cdot 31 $	$3$	6.0.3254256.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10044.6t11.d.a	$3$	$ 2^{2} \cdot 3^{4} \cdot 31 $	$3$	6.0.361584.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10044.6t11.f.a	$3$	$ 2^{2} \cdot 3^{4} \cdot 31 $	$3$	6.2.8406828.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10048.4t5.a.a	$3$	$ 2^{6} \cdot 157 $	$2$	4.2.10048.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.10051.6t11.b.a	$3$	$ 19 \cdot 23^{2}$	$2$	6.0.10051.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10053.6t11.a.a	$3$	$ 3^{2} \cdot 1117 $	$2$	6.0.33687603.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10059.4t5.a.a	$3$	$ 3 \cdot 7 \cdot 479 $	$3$	4.2.10059.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.10060.6t11.c.a	$3$	$ 2^{2} \cdot 5 \cdot 503 $	$3$	6.0.5060180.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10060.6t11.d.a	$3$	$ 2^{2} \cdot 5 \cdot 503 $	$3$	6.0.5060180.2	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10064.4t5.a.a	$3$	$ 2^{4} \cdot 17 \cdot 37 $	$3$	4.2.10064.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.10064.6t11.a.a	$3$	$ 2^{4} \cdot 17 \cdot 37 $	$3$	6.2.1489472.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10068.6t11.a.a	$3$	$ 2^{2} \cdot 3 \cdot 839 $	$3$	6.4.33788208.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10072.6t11.b.a	$3$	$ 2^{3} \cdot 1259 $	$2$	6.2.12680648.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10079.4t5.a.a	$3$	$ 10079 $	$1$	4.2.10079.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.10091.4t5.a.a	$3$	$ 10091 $	$1$	4.2.10091.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.10112.6t11.a.a	$3$	$ 2^{7} \cdot 79 $	$2$	6.2.3195392.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10112.6t11.b.a	$3$	$ 2^{7} \cdot 79 $	$2$	6.2.3195392.2	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10112.6t11.c.a	$3$	$ 2^{7} \cdot 79 $	$2$	6.2.3195392.3	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10112.6t11.d.a	$3$	$ 2^{7} \cdot 79 $	$2$	6.2.3195392.4	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10112.6t11.e.a	$3$	$ 2^{7} \cdot 79 $	$2$	6.6.3195392.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$3$
3.10112.6t11.f.a	$3$	$ 2^{7} \cdot 79 $	$2$	6.4.3195392.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10116.6t11.b.a	$3$	$ 2^{2} \cdot 3^{2} \cdot 281 $	$3$	6.2.8527788.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10120.4t5.a.a	$3$	$ 2^{3} \cdot 5 \cdot 11 \cdot 23 $	$4$	4.2.10120.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.10120.6t11.a.a	$3$	$ 2^{3} \cdot 5 \cdot 11 \cdot 23 $	$4$	6.0.4452800.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10128.6t11.a.a	$3$	$ 2^{4} \cdot 3 \cdot 211 $	$3$	6.2.2137008.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10128.6t11.b.a	$3$	$ 2^{4} \cdot 3 \cdot 211 $	$3$	6.2.2137008.2	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10136.6t11.a.a	$3$	$ 2^{3} \cdot 7 \cdot 181 $	$3$	6.0.12842312.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10136.6t11.b.a	$3$	$ 2^{3} \cdot 7 \cdot 181 $	$3$	6.0.14676928.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10148.6t11.b.a	$3$	$ 2^{2} \cdot 43 \cdot 59 $	$3$	6.0.1745456.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10152.4t5.a.a	$3$	$ 2^{3} \cdot 3^{3} \cdot 47 $	$3$	4.2.10152.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.10152.6t11.a.a	$3$	$ 2^{3} \cdot 3^{3} \cdot 47 $	$3$	6.0.2192832.2	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10156.4t5.a.a	$3$	$ 2^{2} \cdot 2539 $	$2$	4.2.10156.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.10160.4t5.a.a	$3$	$ 2^{4} \cdot 5 \cdot 127 $	$3$	4.2.10160.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.10161.4t5.a.a	$3$	$ 3^{2} \cdot 1129 $	$2$	4.0.10161.2	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.10161.4t5.b.a	$3$	$ 3^{2} \cdot 1129 $	$2$	4.0.10161.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.10163.4t5.a.a	$3$	$ 10163 $	$1$	4.2.10163.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.10164.6t11.a.a	$3$	$ 2^{2} \cdot 3 \cdot 7 \cdot 11^{2}$	$4$	6.2.4919376.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10176.6t11.a.a	$3$	$ 2^{6} \cdot 3 \cdot 53 $	$3$	6.2.4314624.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10180.6t11.a.a	$3$	$ 2^{2} \cdot 5 \cdot 509 $	$3$	6.2.20726480.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.10185.6t11.c.a	$3$	$ 3 \cdot 5 \cdot 7 \cdot 97 $	$4$	6.0.6915615.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.10185.6t11.d.a	$3$	$ 3 \cdot 5 \cdot 7 \cdot 97 $	$4$	6.0.6915615.2	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$