| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-47-47.10-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.10 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.376$ |
$0$ |
$2.88476$ |
Character $\chi_{47}(10, \cdot)$ |
| 1-47-47.11-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.11 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.113$ |
$0$ |
$1.77377$ |
Character $\chi_{47}(11, \cdot)$ |
| 1-47-47.13-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.13 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.249$ |
$0$ |
$0.459845$ |
Character $\chi_{47}(13, \cdot)$ |
| 1-47-47.15-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.15 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.467$ |
$0$ |
$3.57066$ |
Character $\chi_{47}(15, \cdot)$ |
| 1-47-47.19-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.19 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.208$ |
$0$ |
$0.930741$ |
Character $\chi_{47}(19, \cdot)$ |
| 1-47-47.20-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.20 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0968$ |
$0$ |
$1.09778$ |
Character $\chi_{47}(20, \cdot)$ |
| 1-47-47.22-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.22 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.467$ |
$0$ |
$0.631758$ |
Character $\chi_{47}(22, \cdot)$ |
| 1-47-47.23-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.23 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0780$ |
$0$ |
$2.56676$ |
Character $\chi_{47}(23, \cdot)$ |
| 1-47-47.26-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.26 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.255$ |
$0$ |
$1.36145$ |
Character $\chi_{47}(26, \cdot)$ |
| 1-47-47.29-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.29 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.249$ |
$0$ |
$2.24087$ |
Character $\chi_{47}(29, \cdot)$ |
| 1-47-47.30-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.30 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.113$ |
$0$ |
$1.68213$ |
Character $\chi_{47}(30, \cdot)$ |
| 1-47-47.31-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.31 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.451$ |
$0$ |
$3.07331$ |
Character $\chi_{47}(31, \cdot)$ |
| 1-47-47.33-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.33 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.376$ |
$0$ |
$0.234085$ |
Character $\chi_{47}(33, \cdot)$ |
| 1-47-47.35-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.35 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.186$ |
$0$ |
$1.22142$ |
Character $\chi_{47}(35, \cdot)$ |
| 1-47-47.38-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.38 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.255$ |
$0$ |
$0.548442$ |
Character $\chi_{47}(38, \cdot)$ |
| 1-47-47.39-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.39 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.328$ |
$0$ |
$0.0903788$ |
Character $\chi_{47}(39, \cdot)$ |
| 1-47-47.40-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.40 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0968$ |
$0$ |
$1.94099$ |
Character $\chi_{47}(40, \cdot)$ |
| 1-47-47.41-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.41 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.328$ |
$0$ |
$2.49889$ |
Character $\chi_{47}(41, \cdot)$ |
| 1-47-47.43-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.43 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.186$ |
$0$ |
$2.21009$ |
Character $\chi_{47}(43, \cdot)$ |
| 1-47-47.44-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.44 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.451$ |
$0$ |
$1.05013$ |
Character $\chi_{47}(44, \cdot)$ |
| 1-47-47.45-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.45 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0780$ |
$0$ |
$1.81964$ |
Character $\chi_{47}(45, \cdot)$ |
| 1-47-47.46-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.46 |
$1$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$2.21737$ |
Character $\chi_{47}(46, \cdot)$ |
| 1-47-47.5-r1-0-0 |
$5.05$ |
$5.05$ |
$1$ |
$47$ |
47.5 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.208$ |
$0$ |
$1.33918$ |
Character $\chi_{47}(5, \cdot)$ |
