Artin representation search results

Results (1-50 of 1518 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
4.5744.8t39.d.a	$4$	$ 2^{4} \cdot 359 $	$2$	8.0.8248384.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.6224.8t39.d.a	$4$	$ 2^{4} \cdot 389 $	$2$	8.0.9684544.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.6571.8t39.d.a	$4$	$ 6571 $	$1$	8.0.43178041.3	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.6883.8t39.a.a	$4$	$ 6883 $	$1$	8.0.47375689.3	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.6928.8t39.a.a	$4$	$ 2^{4} \cdot 433 $	$2$	8.0.11999296.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.7537.8t39.a.a	$4$	$ 7537 $	$1$	8.4.56806369.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.8069.8t39.a.a	$4$	$ 8069 $	$1$	8.4.65108761.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.9136.8t39.c.a	$4$	$ 2^{4} \cdot 571 $	$2$	8.0.20866624.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.11344.8t39.e.a	$4$	$ 2^{4} \cdot 709 $	$2$	8.0.32171584.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.11348.8t39.a.a	$4$	$ 2^{2} \cdot 2837 $	$2$	8.4.128777104.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.13136.8t39.d.a	$4$	$ 2^{4} \cdot 821 $	$2$	8.0.43138624.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.14013.8t39.a.a	$4$	$ 3^{4} \cdot 173 $	$2$	8.4.196364169.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.14272.8t39.d.a	$4$	$ 2^{6} \cdot 223 $	$2$	8.0.12730624.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.15952.8t39.f.a	$4$	$ 2^{4} \cdot 997 $	$2$	8.0.63616576.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.16448.8t39.d.a	$4$	$ 2^{6} \cdot 257 $	$2$	8.0.4227136.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.18256.8t39.e.a	$4$	$ 2^{4} \cdot 7 \cdot 163 $	$3$	8.4.83320384.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$2$
4.18608.8t39.f.a	$4$	$ 2^{4} \cdot 1163 $	$2$	8.0.86564416.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.18736.8t39.d.a	$4$	$ 2^{4} \cdot 1171 $	$2$	8.0.87759424.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.21200.8t39.a.a	$4$	$ 2^{4} \cdot 5^{2} \cdot 53 $	$3$	8.0.112360000.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.22896.8t39.a.a	$4$	$ 2^{4} \cdot 3^{3} \cdot 53 $	$3$	8.0.131056704.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.23728.8t39.f.a	$4$	$ 2^{4} \cdot 1483 $	$2$	8.0.140754496.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.24183.8t39.c.a	$4$	$ 3^{2} \cdot 2687 $	$2$	8.4.64979721.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$2$
4.24183.8t39.d.a	$4$	$ 3^{2} \cdot 2687 $	$2$	8.0.64979721.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.24496.8t39.f.a	$4$	$ 2^{4} \cdot 1531 $	$2$	8.0.150013504.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.25408.8t39.c.a	$4$	$ 2^{6} \cdot 397 $	$2$	8.0.40347904.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.25808.8t39.b.a	$4$	$ 2^{4} \cdot 1613 $	$2$	8.0.166513216.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.27472.8t39.e.a	$4$	$ 2^{4} \cdot 17 \cdot 101 $	$3$	8.0.188677696.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.30672.8t39.f.a	$4$	$ 2^{4} \cdot 3^{3} \cdot 71 $	$3$	8.4.235192896.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$2$
4.32368.8t39.f.a	$4$	$ 2^{4} \cdot 7 \cdot 17^{2}$	$3$	8.0.261921856.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.32688.8t39.a.a	$4$	$ 2^{4} \cdot 3^{2} \cdot 227 $	$3$	8.4.118722816.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$2$
4.32688.8t39.b.a	$4$	$ 2^{4} \cdot 3^{2} \cdot 227 $	$3$	8.0.118722816.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.33088.8t39.a.a	$4$	$ 2^{6} \cdot 11 \cdot 47 $	$3$	8.4.68425984.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$2$
4.33856.8t39.d.a	$4$	$ 2^{6} \cdot 23^{2}$	$2$	8.0.71639296.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.39888.8t39.e.a	$4$	$ 2^{4} \cdot 3^{2} \cdot 277 $	$3$	8.4.176783616.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$2$
4.39888.8t39.f.a	$4$	$ 2^{4} \cdot 3^{2} \cdot 277 $	$3$	8.0.176783616.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.40437.8t39.a.a	$4$	$ 3^{2} \cdot 4493 $	$2$	8.0.181683441.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.44496.8t39.a.a	$4$	$ 2^{4} \cdot 3^{3} \cdot 103 $	$3$	8.0.494973504.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.44608.8t39.b.a	$4$	$ 2^{6} \cdot 17 \cdot 41 $	$3$	8.0.31091776.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.48064.8t39.c.a	$4$	$ 2^{6} \cdot 751 $	$2$	8.0.36096064.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.48704.8t39.c.a	$4$	$ 2^{6} \cdot 761 $	$2$	8.0.37063744.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.50432.8t39.e.a	$4$	$ 2^{8} \cdot 197 $	$2$	8.0.39740416.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.52400.8t39.i.a	$4$	$ 2^{4} \cdot 5^{2} \cdot 131 $	$3$	8.0.109830400.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.52400.8t39.j.a	$4$	$ 2^{4} \cdot 5^{2} \cdot 131 $	$3$	8.0.109830400.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.54864.8t39.g.a	$4$	$ 2^{4} \cdot 3^{3} \cdot 127 $	$3$	8.0.334450944.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.54864.8t39.h.a	$4$	$ 2^{4} \cdot 3^{3} \cdot 127 $	$3$	8.0.334450944.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.55728.8t39.a.a	$4$	$ 2^{4} \cdot 3^{4} \cdot 43 $	$3$	8.0.776402496.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.56144.8t39.d.a	$4$	$ 2^{4} \cdot 11^{2} \cdot 29 $	$3$	8.0.788037184.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.57483.8t39.a.a	$4$	$ 3^{3} \cdot 2129 $	$2$	8.0.367143921.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$-2$
4.58624.8t39.a.a	$4$	$ 2^{8} \cdot 229 $	$2$	8.0.13424896.2	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$
4.58624.8t39.b.a	$4$	$ 2^{8} \cdot 229 $	$2$	8.0.13424896.1	$C_2^3:S_4$	$C_2^2:S_4$	$C_2^3:S_4$	$1$	$0$