Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 15.133...504.240.a.a 15.133...504.240.a.b 15.133...504.240.a.c 15.133...504.240.a.d 15.133...504.240.a.e 15.133...504.240.a.f 15.133...504.240.a.g 15.133...504.240.a.h |
$15$ |
$ 2^{30} \cdot 137^{8}$ |
$2$ |
17.1.133249137678121328919445504.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
240 |
$1$ |
$-1$ |
| 15.861...144.240.a.a 15.861...144.240.a.b 15.861...144.240.a.c 15.861...144.240.a.d 15.861...144.240.a.e 15.861...144.240.a.f 15.861...144.240.a.g 15.861...144.240.a.h |
$15$ |
$ 2^{30} \cdot 173^{8}$ |
$2$ |
17.1.861526607800060221948166144.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
240 |
$1$ |
$-1$ |
| 15.264...424.240.a.a 15.264...424.240.a.b 15.264...424.240.a.c 15.264...424.240.a.d 15.264...424.240.a.e 15.264...424.240.a.f 15.264...424.240.a.g 15.264...424.240.a.h |
$15$ |
$ 2^{30} \cdot 199^{8}$ |
$2$ |
17.1.2640732930336770744777703424.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
240 |
$1$ |
$-1$ |
| 16.133...504.17t6.a.a |
$16$ |
$ 2^{30} \cdot 137^{8}$ |
$2$ |
17.1.133249137678121328919445504.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
$1$ |
$0$ |
| 16.861...144.17t6.a.a |
$16$ |
$ 2^{30} \cdot 173^{8}$ |
$2$ |
17.1.861526607800060221948166144.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
$1$ |
$0$ |
| 16.264...424.17t6.a.a |
$16$ |
$ 2^{30} \cdot 199^{8}$ |
$2$ |
17.1.2640732930336770744777703424.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
$1$ |
$0$ |
| 17.133...504.120.a.a 17.133...504.120.a.b 17.133...504.120.a.c 17.133...504.120.a.d |
$17$ |
$ 2^{30} \cdot 137^{8}$ |
$2$ |
17.1.133249137678121328919445504.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
120 |
$1$ |
$1$ |
| 17.133...504.51.a.a |
$17$ |
$ 2^{30} \cdot 137^{8}$ |
$2$ |
17.1.133249137678121328919445504.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
51 |
$1$ |
$1$ |
| 17.133...504.68.a.a 17.133...504.68.a.b |
$17$ |
$ 2^{30} \cdot 137^{8}$ |
$2$ |
17.1.133249137678121328919445504.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
68 |
$1$ |
$1$ |
| 17.861...144.120.a.a 17.861...144.120.a.b 17.861...144.120.a.c 17.861...144.120.a.d |
$17$ |
$ 2^{30} \cdot 173^{8}$ |
$2$ |
17.1.861526607800060221948166144.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
120 |
$1$ |
$1$ |
| 17.861...144.51.a.a |
$17$ |
$ 2^{30} \cdot 173^{8}$ |
$2$ |
17.1.861526607800060221948166144.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
51 |
$1$ |
$1$ |
| 17.861...144.68.a.a 17.861...144.68.a.b |
$17$ |
$ 2^{30} \cdot 173^{8}$ |
$2$ |
17.1.861526607800060221948166144.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
68 |
$1$ |
$1$ |
| 17.264...424.120.a.a 17.264...424.120.a.b 17.264...424.120.a.c 17.264...424.120.a.d |
$17$ |
$ 2^{30} \cdot 199^{8}$ |
$2$ |
17.1.2640732930336770744777703424.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
120 |
$1$ |
$1$ |
| 17.264...424.51.a.a |
$17$ |
$ 2^{30} \cdot 199^{8}$ |
$2$ |
17.1.2640732930336770744777703424.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
51 |
$1$ |
$1$ |
| 17.264...424.68.a.a 17.264...424.68.a.b |
$17$ |
$ 2^{30} \cdot 199^{8}$ |
$2$ |
17.1.2640732930336770744777703424.1 |
$\PSL(2,16)$ |
$\PSL(2,16)$ |
68 |
$1$ |
$1$ |
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