| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-53-53.12-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.12 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.450$ |
$0$ |
$2.37776$ |
Character $\chi_{53}(12, \cdot)$ |
| 1-53-53.14-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.14 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0600$ |
$0$ |
$0.971955$ |
Character $\chi_{53}(14, \cdot)$ |
| 1-53-53.18-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.18 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0358$ |
$0$ |
$0.995561$ |
Character $\chi_{53}(18, \cdot)$ |
| 1-53-53.19-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.19 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0600$ |
$0$ |
$1.88491$ |
Character $\chi_{53}(19, \cdot)$ |
| 1-53-53.2-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.2 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.180$ |
$0$ |
$2.33187$ |
Character $\chi_{53}(2, \cdot)$ |
| 1-53-53.20-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.20 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0109$ |
$0$ |
$2.38715$ |
Character $\chi_{53}(20, \cdot)$ |
| 1-53-53.21-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.21 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.190$ |
$0$ |
$2.15927$ |
Character $\chi_{53}(21, \cdot)$ |
| 1-53-53.22-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.22 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.484$ |
$0$ |
$3.40635$ |
Character $\chi_{53}(22, \cdot)$ |
| 1-53-53.23-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.23 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.272$ |
$0$ |
$0.0480504$ |
Character $\chi_{53}(23, \cdot)$ |
| 1-53-53.26-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.26 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.203$ |
$0$ |
$0.525896$ |
Character $\chi_{53}(26, \cdot)$ |
| 1-53-53.27-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.27 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.180$ |
$0$ |
$1.44486$ |
Character $\chi_{53}(27, \cdot)$ |
| 1-53-53.3-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.3 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0358$ |
$0$ |
$0.703480$ |
Character $\chi_{53}(3, \cdot)$ |
| 1-53-53.30-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.30 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.272$ |
$0$ |
$3.68829$ |
Character $\chi_{53}(30, \cdot)$ |
| 1-53-53.31-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.31 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.450$ |
$0$ |
$0.888006$ |
Character $\chi_{53}(31, \cdot)$ |
| 1-53-53.32-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.32 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.450$ |
$0$ |
$2.76923$ |
Character $\chi_{53}(32, \cdot)$ |
| 1-53-53.33-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.33 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.491$ |
$0$ |
$0.00642891$ |
Character $\chi_{53}(33, \cdot)$ |
| 1-53-53.34-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.34 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.156$ |
$0$ |
$1.44809$ |
Character $\chi_{53}(34, \cdot)$ |
| 1-53-53.35-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.35 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.261$ |
$0$ |
$2.52622$ |
Character $\chi_{53}(35, \cdot)$ |
| 1-53-53.39-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.39 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.156$ |
$0$ |
$1.21994$ |
Character $\chi_{53}(39, \cdot)$ |
| 1-53-53.41-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.41 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.484$ |
$0$ |
$0.864610$ |
Character $\chi_{53}(41, \cdot)$ |
| 1-53-53.45-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.45 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.491$ |
$0$ |
$2.17596$ |
Character $\chi_{53}(45, \cdot)$ |
| 1-53-53.48-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.48 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.190$ |
$0$ |
$0.922648$ |
Character $\chi_{53}(48, \cdot)$ |
| 1-53-53.5-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.5 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.450$ |
$0$ |
$0.305285$ |
Character $\chi_{53}(5, \cdot)$ |
| 1-53-53.50-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.50 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.261$ |
$0$ |
$1.37631$ |
Character $\chi_{53}(50, \cdot)$ |
| 1-53-53.51-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.51 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.203$ |
$0$ |
$1.81154$ |
Character $\chi_{53}(51, \cdot)$ |
| 1-53-53.8-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.8 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0109$ |
$0$ |
$1.97289$ |
Character $\chi_{53}(8, \cdot)$ |
