| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-57-57.14-r0-0-0 |
$0.264$ |
$0.264$ |
$1$ |
$3 \cdot 19$ |
57.14 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.203$ |
$0$ |
$1.76586$ |
Dirichlet character \(\chi_{57} (14, \cdot) \) |
| 1-57-57.2-r0-0-0 |
$0.264$ |
$0.264$ |
$1$ |
$3 \cdot 19$ |
57.2 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.190$ |
$0$ |
$2.24760$ |
Dirichlet character \(\chi_{57} (2, \cdot) \) |
| 1-57-57.29-r0-0-0 |
$0.264$ |
$0.264$ |
$1$ |
$3 \cdot 19$ |
57.29 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.190$ |
$0$ |
$0.846566$ |
Dirichlet character \(\chi_{57} (29, \cdot) \) |
| 1-57-57.32-r0-0-0 |
$0.264$ |
$0.264$ |
$1$ |
$3 \cdot 19$ |
57.32 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.277$ |
$0$ |
$1.47556$ |
Dirichlet character \(\chi_{57} (32, \cdot) \) |
| 1-57-57.41-r0-0-0 |
$0.264$ |
$0.264$ |
$1$ |
$3 \cdot 19$ |
57.41 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.277$ |
$0$ |
$2.72984$ |
Dirichlet character \(\chi_{57} (41, \cdot) \) |
| 1-57-57.50-r0-0-0 |
$0.264$ |
$0.264$ |
$1$ |
$3 \cdot 19$ |
57.50 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0677$ |
$0$ |
$1.58226$ |
Dirichlet character \(\chi_{57} (50, \cdot) \) |
| 1-57-57.53-r0-0-0 |
$0.264$ |
$0.264$ |
$1$ |
$3 \cdot 19$ |
57.53 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.203$ |
$0$ |
$3.05264$ |
Dirichlet character \(\chi_{57} (53, \cdot) \) |
| 1-57-57.56-r0-0-0 |
$0.264$ |
$0.264$ |
$1$ |
$3 \cdot 19$ |
57.56 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$2.40313$ |
Dirichlet character \(\chi_{57} (56, \cdot) \) |
| 1-57-57.8-r0-0-0 |
$0.264$ |
$0.264$ |
$1$ |
$3 \cdot 19$ |
57.8 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0677$ |
$0$ |
$1.89846$ |
Dirichlet character \(\chi_{57} (8, \cdot) \) |
| 1-57-57.11-r1-0-0 |
$6.12$ |
$6.12$ |
$1$ |
$3 \cdot 19$ |
57.11 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.367$ |
$0$ |
$2.54884$ |
Dirichlet character \(\chi_{57} (11, \cdot) \) |
| 1-57-57.17-r1-0-0 |
$6.12$ |
$6.12$ |
$1$ |
$3 \cdot 19$ |
57.17 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.275$ |
$0$ |
$2.67088$ |
Dirichlet character \(\chi_{57} (17, \cdot) \) |
| 1-57-57.23-r1-0-0 |
$6.12$ |
$6.12$ |
$1$ |
$3 \cdot 19$ |
57.23 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.422$ |
$0$ |
$0.310328$ |
Dirichlet character \(\chi_{57} (23, \cdot) \) |
| 1-57-57.26-r1-0-0 |
$6.12$ |
$6.12$ |
$1$ |
$3 \cdot 19$ |
57.26 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.367$ |
$0$ |
$1.02702$ |
Dirichlet character \(\chi_{57} (26, \cdot) \) |
| 1-57-57.35-r1-0-0 |
$6.12$ |
$6.12$ |
$1$ |
$3 \cdot 19$ |
57.35 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.00241$ |
$0$ |
$1.73108$ |
Dirichlet character \(\chi_{57} (35, \cdot) \) |
| 1-57-57.44-r1-0-0 |
$6.12$ |
$6.12$ |
$1$ |
$3 \cdot 19$ |
57.44 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.00241$ |
$0$ |
$0.951010$ |
Dirichlet character \(\chi_{57} (44, \cdot) \) |
| 1-57-57.47-r1-0-0 |
$6.12$ |
$6.12$ |
$1$ |
$3 \cdot 19$ |
57.47 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.275$ |
$0$ |
$1.02652$ |
Dirichlet character \(\chi_{57} (47, \cdot) \) |
| 1-57-57.5-r1-0-0 |
$6.12$ |
$6.12$ |
$1$ |
$3 \cdot 19$ |
57.5 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.422$ |
$0$ |
$1.85928$ |
Dirichlet character \(\chi_{57} (5, \cdot) \) |
