Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 4.3897.6t13.b.a |
$4$ |
$ 3^{2} \cdot 433 $ |
$2$ |
6.0.11691.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.5517.6t13.a.a |
$4$ |
$ 3^{2} \cdot 613 $ |
$2$ |
6.0.16551.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.5648.6t13.b.a |
$4$ |
$ 2^{4} \cdot 353 $ |
$2$ |
6.0.22592.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.6025.6t13.a.a |
$4$ |
$ 5^{2} \cdot 241 $ |
$2$ |
6.2.30125.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.6208.6t13.b.a |
$4$ |
$ 2^{6} \cdot 97 $ |
$2$ |
6.2.49664.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.7025.6t13.a.a |
$4$ |
$ 5^{2} \cdot 281 $ |
$2$ |
6.2.35125.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.7677.6t13.a.a |
$4$ |
$ 3^{2} \cdot 853 $ |
$2$ |
6.0.23031.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.8001.6t13.a.a |
$4$ |
$ 3^{2} \cdot 7 \cdot 127 $ |
$3$ |
6.0.24003.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.10225.6t13.a.a |
$4$ |
$ 5^{2} \cdot 409 $ |
$2$ |
6.2.51125.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.10388.6t13.b.a |
$4$ |
$ 2^{2} \cdot 7^{2} \cdot 53 $ |
$3$ |
6.0.72716.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.10449.6t13.b.a |
$4$ |
$ 3^{5} \cdot 43 $ |
$2$ |
6.0.31347.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.10525.6t13.b.a |
$4$ |
$ 5^{2} \cdot 421 $ |
$2$ |
6.2.52625.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.11225.6t13.a.a |
$4$ |
$ 5^{2} \cdot 449 $ |
$2$ |
6.2.56125.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.11457.6t13.b.a |
$4$ |
$ 3^{2} \cdot 19 \cdot 67 $ |
$3$ |
6.0.34371.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.11920.6t13.a.a |
$4$ |
$ 2^{4} \cdot 5 \cdot 149 $ |
$3$ |
6.0.47680.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.12352.6t13.b.a |
$4$ |
$ 2^{6} \cdot 193 $ |
$2$ |
6.0.49408.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.13401.6t13.b.a |
$4$ |
$ 3^{2} \cdot 1489 $ |
$2$ |
6.0.40203.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.13941.6t13.b.a |
$4$ |
$ 3^{2} \cdot 1549 $ |
$2$ |
6.0.41823.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.14225.6t13.a.a |
$4$ |
$ 5^{2} \cdot 569 $ |
$2$ |
6.2.71125.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.14832.6t13.b.a |
$4$ |
$ 2^{4} \cdot 3^{2} \cdot 103 $ |
$3$ |
6.0.44496.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.14912.6t13.a.a |
$4$ |
$ 2^{6} \cdot 233 $ |
$2$ |
6.0.59648.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.15028.6t13.a.a |
$4$ |
$ 2^{2} \cdot 13 \cdot 17^{2}$ |
$3$ |
6.2.255476.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.15248.6t13.b.a |
$4$ |
$ 2^{4} \cdot 953 $ |
$2$ |
6.0.60992.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.15533.6t13.b.a |
$4$ |
$ 7^{2} \cdot 317 $ |
$2$ |
6.0.108731.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.15993.6t13.a.a |
$4$ |
$ 3^{2} \cdot 1777 $ |
$2$ |
6.0.47979.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.16400.6t13.c.a |
$4$ |
$ 2^{4} \cdot 5^{2} \cdot 41 $ |
$3$ |
6.2.82000.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.16400.6t13.d.a |
$4$ |
$ 2^{4} \cdot 5^{2} \cdot 41 $ |
$3$ |
6.0.65600.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.16525.6t13.a.a |
$4$ |
$ 5^{2} \cdot 661 $ |
$2$ |
6.2.82625.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.16713.6t13.b.a |
$4$ |
$ 3^{3} \cdot 619 $ |
$2$ |
6.0.50139.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.17525.6t13.b.a |
$4$ |
$ 5^{2} \cdot 701 $ |
$2$ |
6.2.87625.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.17856.6t13.b.a |
$4$ |
$ 2^{6} \cdot 3^{2} \cdot 31 $ |
$3$ |
6.0.53568.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.17984.6t13.b.a |
$4$ |
$ 2^{6} \cdot 281 $ |
$2$ |
6.0.143872.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.18688.6t13.b.a |
$4$ |
$ 2^{8} \cdot 73 $ |
$2$ |
6.2.149504.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.19097.6t13.b.a |
$4$ |
$ 13^{2} \cdot 113 $ |
$2$ |
6.2.248261.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.19197.6t13.b.a |
$4$ |
$ 3^{5} \cdot 79 $ |
$2$ |
6.0.57591.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.19989.6t13.b.a |
$4$ |
$ 3^{2} \cdot 2221 $ |
$2$ |
6.0.59967.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.20025.6t13.a.a |
$4$ |
$ 3^{2} \cdot 5^{2} \cdot 89 $ |
$3$ |
6.2.100125.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.20525.6t13.a.a |
$4$ |
$ 5^{2} \cdot 821 $ |
$2$ |
6.2.102625.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.20624.6t13.b.a |
$4$ |
$ 2^{4} \cdot 1289 $ |
$2$ |
6.0.82496.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.20725.6t13.a.a |
$4$ |
$ 5^{2} \cdot 829 $ |
$2$ |
6.2.103625.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.20975.6t13.a.a |
$4$ |
$ 5^{2} \cdot 839 $ |
$2$ |
6.4.104875.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$2$ |
| 4.22784.6t13.b.a |
$4$ |
$ 2^{8} \cdot 89 $ |
$2$ |
6.2.182272.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.23225.6t13.a.a |
$4$ |
$ 5^{2} \cdot 929 $ |
$2$ |
6.2.116125.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.23488.6t13.a.a |
$4$ |
$ 2^{6} \cdot 367 $ |
$2$ |
6.4.187904.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$2$ |
| 4.23553.6t13.b.a |
$4$ |
$ 3^{2} \cdot 2617 $ |
$2$ |
6.0.70659.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.23616.6t13.b.a |
$4$ |
$ 2^{6} \cdot 3^{2} \cdot 41 $ |
$3$ |
6.2.188928.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.24048.6t13.a.a |
$4$ |
$ 2^{4} \cdot 3^{2} \cdot 167 $ |
$3$ |
6.4.288576.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$2$ |
| 4.24128.6t13.a.a |
$4$ |
$ 2^{6} \cdot 13 \cdot 29 $ |
$3$ |
6.0.96512.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.24208.6t13.b.a |
$4$ |
$ 2^{4} \cdot 17 \cdot 89 $ |
$3$ |
6.0.96832.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
| 4.24489.6t13.b.a |
$4$ |
$ 3^{3} \cdot 907 $ |
$2$ |
6.0.73467.1 |
$C_3^2:D_4$ |
$\SOPlus(4,2)$ |
$C_3^2:D_4$ |
$1$ |
$0$ |
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