| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-1045-1045.1004-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1004 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.168$ |
$0$ |
$0.662532$ |
Dirichlet character \(\chi_{1045} (1004, \cdot) \) |
| 1-1045-1045.1009-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1009 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.485$ |
$0$ |
$0.586722$ |
Dirichlet character \(\chi_{1045} (1009, \cdot) \) |
| 1-1045-1045.1017-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1017 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.493$ |
$0$ |
$0.00114011$ |
Dirichlet character \(\chi_{1045} (1017, \cdot) \) |
| 1-1045-1045.1018-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1018 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.467$ |
$0$ |
$1.61183$ |
Dirichlet character \(\chi_{1045} (1018, \cdot) \) |
| 1-1045-1045.1019-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1019 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.106$ |
$0$ |
$1.56427$ |
Dirichlet character \(\chi_{1045} (1019, \cdot) \) |
| 1-1045-1045.1028-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1028 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.378$ |
$0$ |
$1.22350$ |
Dirichlet character \(\chi_{1045} (1028, \cdot) \) |
| 1-1045-1045.1029-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1029 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.364$ |
$0$ |
$1.75617$ |
Dirichlet character \(\chi_{1045} (1029, \cdot) \) |
| 1-1045-1045.103-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.103 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.347$ |
$0$ |
$1.98672$ |
Dirichlet character \(\chi_{1045} (103, \cdot) \) |
| 1-1045-1045.1033-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1033 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0446$ |
$0$ |
$0.806035$ |
Dirichlet character \(\chi_{1045} (1033, \cdot) \) |
| 1-1045-1045.1038-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1038 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.483$ |
$0$ |
$0.482611$ |
Dirichlet character \(\chi_{1045} (1038, \cdot) \) |
| 1-1045-1045.104-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.104 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.334$ |
$0$ |
$1.09176$ |
Dirichlet character \(\chi_{1045} (104, \cdot) \) |
| 1-1045-1045.1042-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1042 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.115$ |
$0$ |
$1.17781$ |
Dirichlet character \(\chi_{1045} (1042, \cdot) \) |
| 1-1045-1045.1044-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1044 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$1.07136$ |
Dirichlet character \(\chi_{1045} (1044, \cdot) \) |
| 1-1045-1045.108-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.108 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.357$ |
$0$ |
$0.165755$ |
Dirichlet character \(\chi_{1045} (108, \cdot) \) |
| 1-1045-1045.109-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.109 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.130$ |
$0$ |
$0.796098$ |
Dirichlet character \(\chi_{1045} (109, \cdot) \) |
| 1-1045-1045.112-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.112 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.443$ |
$0$ |
$0.451384$ |
Dirichlet character \(\chi_{1045} (112, \cdot) \) |
| 1-1045-1045.113-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.113 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.408$ |
$0$ |
$1.99841$ |
Dirichlet character \(\chi_{1045} (113, \cdot) \) |
| 1-1045-1045.118-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.118 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.383$ |
$0$ |
$2.00930$ |
Dirichlet character \(\chi_{1045} (118, \cdot) \) |
| 1-1045-1045.119-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.119 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.186$ |
$0$ |
$1.17505$ |
Dirichlet character \(\chi_{1045} (119, \cdot) \) |
| 1-1045-1045.123-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.123 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0498$ |
$0$ |
$0.908718$ |
Dirichlet character \(\chi_{1045} (123, \cdot) \) |
| 1-1045-1045.129-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.129 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.169$ |
$0$ |
$0.605566$ |
Dirichlet character \(\chi_{1045} (129, \cdot) \) |
| 1-1045-1045.138-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.138 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0784$ |
$0$ |
$0.770778$ |
Dirichlet character \(\chi_{1045} (138, \cdot) \) |
| 1-1045-1045.142-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.142 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0204$ |
$0$ |
$0.248109$ |
Dirichlet character \(\chi_{1045} (142, \cdot) \) |
| 1-1045-1045.147-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.147 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.277$ |
$0$ |
$0.740212$ |
Dirichlet character \(\chi_{1045} (147, \cdot) \) |
| 1-1045-1045.148-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.148 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.275$ |
$0$ |
$0.412845$ |
Dirichlet character \(\chi_{1045} (148, \cdot) \) |
| 1-1045-1045.159-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.159 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.424$ |
$0$ |
$1.78025$ |
Dirichlet character \(\chi_{1045} (159, \cdot) \) |
| 1-1045-1045.164-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.164 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0677$ |
$0$ |
$1.19875$ |
Dirichlet character \(\chi_{1045} (164, \cdot) \) |
| 1-1045-1045.169-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.169 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.112$ |
$0$ |
$0.378145$ |
Dirichlet character \(\chi_{1045} (169, \cdot) \) |
| 1-1045-1045.17-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.17 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0498$ |
$0$ |
$0.939412$ |
Dirichlet character \(\chi_{1045} (17, \cdot) \) |
| 1-1045-1045.178-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.178 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.291$ |
$0$ |
$0.751767$ |
Dirichlet character \(\chi_{1045} (178, \cdot) \) |
| 1-1045-1045.182-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.182 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.291$ |
$0$ |
$0.809886$ |
Dirichlet character \(\chi_{1045} (182, \cdot) \) |
| 1-1045-1045.184-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.184 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.349$ |
$0$ |
$1.45172$ |
Dirichlet character \(\chi_{1045} (184, \cdot) \) |
| 1-1045-1045.189-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.189 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.246$ |
$0$ |
$1.61036$ |
Dirichlet character \(\chi_{1045} (189, \cdot) \) |
| 1-1045-1045.192-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.192 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.445$ |
$0$ |
$0.301406$ |
Dirichlet character \(\chi_{1045} (192, \cdot) \) |
| 1-1045-1045.197-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.197 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.220$ |
$0$ |
$1.48442$ |
Dirichlet character \(\chi_{1045} (197, \cdot) \) |
| 1-1045-1045.202-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.202 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.340$ |
$0$ |
$1.52714$ |
Dirichlet character \(\chi_{1045} (202, \cdot) \) |
| 1-1045-1045.203-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.203 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.243$ |
$0$ |
$1.31616$ |
Dirichlet character \(\chi_{1045} (203, \cdot) \) |
| 1-1045-1045.204-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.204 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.116$ |
$0$ |
$1.12077$ |
Dirichlet character \(\chi_{1045} (204, \cdot) \) |
| 1-1045-1045.212-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.212 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.195$ |
$0$ |
$1.38615$ |
Dirichlet character \(\chi_{1045} (212, \cdot) \) |
| 1-1045-1045.214-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.214 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.301$ |
$0$ |
$0.422200$ |
Dirichlet character \(\chi_{1045} (214, \cdot) \) |
| 1-1045-1045.219-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.219 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.475$ |
$0$ |
$0.561376$ |
Dirichlet character \(\chi_{1045} (219, \cdot) \) |
| 1-1045-1045.223-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.223 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.461$ |
$0$ |
$0.720955$ |
Dirichlet character \(\chi_{1045} (223, \cdot) \) |
| 1-1045-1045.233-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.233 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.414$ |
$0$ |
$0.437904$ |
Dirichlet character \(\chi_{1045} (233, \cdot) \) |
| 1-1045-1045.234-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.234 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.160$ |
$0$ |
$1.51282$ |
Dirichlet character \(\chi_{1045} (234, \cdot) \) |
| 1-1045-1045.237-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.237 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.266$ |
$0$ |
$0.667175$ |
Dirichlet character \(\chi_{1045} (237, \cdot) \) |
| 1-1045-1045.249-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.249 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.436$ |
$0$ |
$0.133287$ |
Dirichlet character \(\chi_{1045} (249, \cdot) \) |
| 1-1045-1045.252-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.252 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.344$ |
$0$ |
$1.26088$ |
Dirichlet character \(\chi_{1045} (252, \cdot) \) |
| 1-1045-1045.257-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.257 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0677$ |
$0$ |
$0.638340$ |
Dirichlet character \(\chi_{1045} (257, \cdot) \) |
| 1-1045-1045.259-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.259 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.178$ |
$0$ |
$0.325454$ |
Dirichlet character \(\chi_{1045} (259, \cdot) \) |
| 1-1045-1045.262-r0-0-0 |
$4.85$ |
$4.85$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.262 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0151$ |
$0$ |
$0.680410$ |
Dirichlet character \(\chi_{1045} (262, \cdot) \) |
