| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-115-115.102-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.102 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.135$ |
$0$ |
$1.35935$ |
Dirichlet character \(\chi_{115} (102, \cdot) \) |
| 1-115-115.103-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.103 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.418$ |
$0$ |
$0.642285$ |
Dirichlet character \(\chi_{115} (103, \cdot) \) |
| 1-115-115.104-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.104 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.175$ |
$0$ |
$1.70032$ |
Dirichlet character \(\chi_{115} (104, \cdot) \) |
| 1-115-115.107-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.107 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.141$ |
$0$ |
$1.68882$ |
Dirichlet character \(\chi_{115} (107, \cdot) \) |
| 1-115-115.112-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.112 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.182$ |
$0$ |
$0.925643$ |
Dirichlet character \(\chi_{115} (112, \cdot) \) |
| 1-115-115.113-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.113 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.257$ |
$0$ |
$1.51096$ |
Dirichlet character \(\chi_{115} (113, \cdot) \) |
| 1-115-115.17-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.17 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.277$ |
$0$ |
$1.58198$ |
Dirichlet character \(\chi_{115} (17, \cdot) \) |
| 1-115-115.22-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.22 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.161$ |
$0$ |
$0.756621$ |
Dirichlet character \(\chi_{115} (22, \cdot) \) |
| 1-115-115.28-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.28 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.267$ |
$0$ |
$1.49138$ |
Dirichlet character \(\chi_{115} (28, \cdot) \) |
| 1-115-115.29-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.29 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.231$ |
$0$ |
$1.98846$ |
Dirichlet character \(\chi_{115} (29, \cdot) \) |
| 1-115-115.33-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.33 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.188$ |
$0$ |
$2.24348$ |
Dirichlet character \(\chi_{115} (33, \cdot) \) |
| 1-115-115.37-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.37 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.267$ |
$0$ |
$2.68302$ |
Dirichlet character \(\chi_{115} (37, \cdot) \) |
| 1-115-115.38-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.38 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.182$ |
$0$ |
$1.31474$ |
Dirichlet character \(\chi_{115} (38, \cdot) \) |
| 1-115-115.39-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.39 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.388$ |
$0$ |
$3.16859$ |
Dirichlet character \(\chi_{115} (39, \cdot) \) |
| 1-115-115.4-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.4 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.231$ |
$0$ |
$1.13747$ |
Dirichlet character \(\chi_{115} (4, \cdot) \) |
| 1-115-115.42-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.42 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0461$ |
$0$ |
$1.47960$ |
Dirichlet character \(\chi_{115} (42, \cdot) \) |
| 1-115-115.43-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.43 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.141$ |
$0$ |
$1.90255$ |
Dirichlet character \(\chi_{115} (43, \cdot) \) |
| 1-115-115.49-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.49 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0396$ |
$0$ |
$2.50516$ |
Dirichlet character \(\chi_{115} (49, \cdot) \) |
| 1-115-115.53-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.53 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.135$ |
$0$ |
$1.87659$ |
Dirichlet character \(\chi_{115} (53, \cdot) \) |
| 1-115-115.54-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.54 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0396$ |
$0$ |
$1.96944$ |
Dirichlet character \(\chi_{115} (54, \cdot) \) |
| 1-115-115.57-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.57 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.257$ |
$0$ |
$2.58800$ |
Dirichlet character \(\chi_{115} (57, \cdot) \) |
| 1-115-115.59-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.59 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.388$ |
$0$ |
$0.475588$ |
Dirichlet character \(\chi_{115} (59, \cdot) \) |
| 1-115-115.63-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.63 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0461$ |
$0$ |
$0.939642$ |
Dirichlet character \(\chi_{115} (63, \cdot) \) |
| 1-115-115.64-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.64 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0718$ |
$0$ |
$1.56993$ |
Dirichlet character \(\chi_{115} (64, \cdot) \) |
| 1-115-115.67-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.67 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.418$ |
$0$ |
$2.24208$ |
Dirichlet character \(\chi_{115} (67, \cdot) \) |
| 1-115-115.68-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.68 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.161$ |
$0$ |
$2.19992$ |
Dirichlet character \(\chi_{115} (68, \cdot) \) |
| 1-115-115.7-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.7 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.188$ |
$0$ |
$1.25346$ |
Dirichlet character \(\chi_{115} (7, \cdot) \) |
| 1-115-115.83-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.83 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.409$ |
$0$ |
$0.577534$ |
Dirichlet character \(\chi_{115} (83, \cdot) \) |
| 1-115-115.88-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.88 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.277$ |
$0$ |
$2.73650$ |
Dirichlet character \(\chi_{115} (88, \cdot) \) |
| 1-115-115.9-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.9 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0718$ |
$0$ |
$1.23436$ |
Dirichlet character \(\chi_{115} (9, \cdot) \) |
| 1-115-115.94-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.94 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.175$ |
$0$ |
$1.54669$ |
Dirichlet character \(\chi_{115} (94, \cdot) \) |
| 1-115-115.97-r0-0-0 |
$0.534$ |
$0.534$ |
$1$ |
$5 \cdot 23$ |
115.97 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.409$ |
$0$ |
$1.79277$ |
Dirichlet character \(\chi_{115} (97, \cdot) \) |
| 1-115-115.108-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.108 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.273$ |
$0$ |
$1.60602$ |
Dirichlet character \(\chi_{115} (108, \cdot) \) |
| 1-115-115.109-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.109 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.115$ |
$0$ |
$0.534154$ |
Dirichlet character \(\chi_{115} (109, \cdot) \) |
| 1-115-115.114-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.114 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$0.796910$ |
Dirichlet character \(\chi_{115} (114, \cdot) \) |
| 1-115-115.12-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.12 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.486$ |
$0$ |
$2.70627$ |
Dirichlet character \(\chi_{115} (12, \cdot) \) |
| 1-115-115.13-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.13 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0501$ |
$0$ |
$1.26589$ |
Dirichlet character \(\chi_{115} (13, \cdot) \) |
| 1-115-115.14-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.14 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.429$ |
$0$ |
$0.0972773$ |
Dirichlet character \(\chi_{115} (14, \cdot) \) |
| 1-115-115.18-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.18 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.266$ |
$0$ |
$1.26759$ |
Dirichlet character \(\chi_{115} (18, \cdot) \) |
| 1-115-115.19-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.19 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.115$ |
$0$ |
$1.41539$ |
Dirichlet character \(\chi_{115} (19, \cdot) \) |
| 1-115-115.2-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.2 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.162$ |
$0$ |
$1.13752$ |
Dirichlet character \(\chi_{115} (2, \cdot) \) |
| 1-115-115.27-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.27 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.106$ |
$0$ |
$1.13550$ |
Dirichlet character \(\chi_{115} (27, \cdot) \) |
| 1-115-115.3-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.3 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.298$ |
$0$ |
$0.223905$ |
Dirichlet character \(\chi_{115} (3, \cdot) \) |
| 1-115-115.32-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.32 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.266$ |
$0$ |
$1.90256$ |
Dirichlet character \(\chi_{115} (32, \cdot) \) |
| 1-115-115.34-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.34 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.419$ |
$0$ |
$1.85983$ |
Dirichlet character \(\chi_{115} (34, \cdot) \) |
| 1-115-115.44-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.44 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.419$ |
$0$ |
$0.668503$ |
Dirichlet character \(\chi_{115} (44, \cdot) \) |
| 1-115-115.48-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.48 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.486$ |
$0$ |
$0.505717$ |
Dirichlet character \(\chi_{115} (48, \cdot) \) |
| 1-115-115.52-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.52 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.430$ |
$0$ |
$0.946453$ |
Dirichlet character \(\chi_{115} (52, \cdot) \) |
| 1-115-115.58-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.58 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.162$ |
$0$ |
$1.14150$ |
Dirichlet character \(\chi_{115} (58, \cdot) \) |
| 1-115-115.62-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.62 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0501$ |
$0$ |
$1.32300$ |
Dirichlet character \(\chi_{115} (62, \cdot) \) |
