| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-52-52.11-r0-0-0 |
$0.241$ |
$0.241$ |
$1$ |
$2^{2} \cdot 13$ |
52.11 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0771$ |
$0$ |
$1.96277$ |
Character $\chi_{52}(11, \cdot)$ |
| 1-52-52.15-r0-0-0 |
$0.241$ |
$0.241$ |
$1$ |
$2^{2} \cdot 13$ |
52.15 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.170$ |
$0$ |
$1.59434$ |
Character $\chi_{52}(15, \cdot)$ |
| 1-52-52.19-r0-0-0 |
$0.241$ |
$0.241$ |
$1$ |
$2^{2} \cdot 13$ |
52.19 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0771$ |
$0$ |
$2.33993$ |
Character $\chi_{52}(19, \cdot)$ |
| 1-52-52.31-r0-0-0 |
$0.241$ |
$0.241$ |
$1$ |
$2^{2} \cdot 13$ |
52.31 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.203$ |
$0$ |
$1.03855$ |
Character $\chi_{52}(31, \cdot)$ |
| 1-52-52.47-r0-0-0 |
$0.241$ |
$0.241$ |
$1$ |
$2^{2} \cdot 13$ |
52.47 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.203$ |
$0$ |
$2.42206$ |
Character $\chi_{52}(47, \cdot)$ |
| 1-52-52.7-r0-0-0 |
$0.241$ |
$0.241$ |
$1$ |
$2^{2} \cdot 13$ |
52.7 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.170$ |
$0$ |
$2.91177$ |
Character $\chi_{52}(7, \cdot)$ |
| 1-52-52.23-r1-0-0 |
$5.58$ |
$5.58$ |
$1$ |
$2^{2} \cdot 13$ |
52.23 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.418$ |
$0$ |
$0.486148$ |
Character $\chi_{52}(23, \cdot)$ |
| 1-52-52.3-r1-0-0 |
$5.58$ |
$5.58$ |
$1$ |
$2^{2} \cdot 13$ |
52.3 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.123$ |
$0$ |
$1.49822$ |
Character $\chi_{52}(3, \cdot)$ |
| 1-52-52.35-r1-0-0 |
$5.58$ |
$5.58$ |
$1$ |
$2^{2} \cdot 13$ |
52.35 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.123$ |
$0$ |
$1.95204$ |
Character $\chi_{52}(35, \cdot)$ |
| 1-52-52.43-r1-0-0 |
$5.58$ |
$5.58$ |
$1$ |
$2^{2} \cdot 13$ |
52.43 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.418$ |
$0$ |
$2.85996$ |
Character $\chi_{52}(43, \cdot)$ |
| 1-52-52.51-r1-0-0 |
$5.58$ |
$5.58$ |
$1$ |
$2^{2} \cdot 13$ |
52.51 |
$1$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$1.09268$ |
Character $\chi_{52}(51, \cdot)$ |
