Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-1045-1045.1003-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1003 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.471$ |
$0$ |
$1.49666$ |
Dirichlet character \(\chi_{1045} (1003, \cdot) \) |
1-1045-1045.1014-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1014 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.379$ |
$0$ |
$0.0649483$ |
Dirichlet character \(\chi_{1045} (1014, \cdot) \) |
1-1045-1045.102-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.102 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.282$ |
$0$ |
$0.236783$ |
Dirichlet character \(\chi_{1045} (102, \cdot) \) |
1-1045-1045.1022-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1022 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.457$ |
$0$ |
$0.953951$ |
Dirichlet character \(\chi_{1045} (1022, \cdot) \) |
1-1045-1045.1032-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1032 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.309$ |
$0$ |
$1.25100$ |
Dirichlet character \(\chi_{1045} (1032, \cdot) \) |
1-1045-1045.1037-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1037 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.451$ |
$0$ |
$0.556760$ |
Dirichlet character \(\chi_{1045} (1037, \cdot) \) |
1-1045-1045.1039-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1039 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.331$ |
$0$ |
$0.688795$ |
Dirichlet character \(\chi_{1045} (1039, \cdot) \) |
1-1045-1045.1043-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.1043 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0777$ |
$0$ |
$0.777163$ |
Dirichlet character \(\chi_{1045} (1043, \cdot) \) |
1-1045-1045.107-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.107 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.383$ |
$0$ |
$1.55722$ |
Dirichlet character \(\chi_{1045} (107, \cdot) \) |
1-1045-1045.117-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.117 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.238$ |
$0$ |
$0.0662944$ |
Dirichlet character \(\chi_{1045} (117, \cdot) \) |
1-1045-1045.124-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.124 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0278$ |
$0$ |
$0.231826$ |
Dirichlet character \(\chi_{1045} (124, \cdot) \) |
1-1045-1045.127-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.127 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.269$ |
$0$ |
$0.0845548$ |
Dirichlet character \(\chi_{1045} (127, \cdot) \) |
1-1045-1045.128-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.128 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.418$ |
$0$ |
$0.892924$ |
Dirichlet character \(\chi_{1045} (128, \cdot) \) |
1-1045-1045.13-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.13 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0471$ |
$0$ |
$0.576617$ |
Dirichlet character \(\chi_{1045} (13, \cdot) \) |
1-1045-1045.137-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.137 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.225$ |
$0$ |
$0.603906$ |
Dirichlet character \(\chi_{1045} (137, \cdot) \) |
1-1045-1045.139-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.139 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.203$ |
$0$ |
$1.25780$ |
Dirichlet character \(\chi_{1045} (139, \cdot) \) |
1-1045-1045.14-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.14 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.373$ |
$0$ |
$0.339186$ |
Dirichlet character \(\chi_{1045} (14, \cdot) \) |
1-1045-1045.149-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.149 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.410$ |
$0$ |
$0.246431$ |
Dirichlet character \(\chi_{1045} (149, \cdot) \) |
1-1045-1045.157-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.157 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.159$ |
$0$ |
$0.893213$ |
Dirichlet character \(\chi_{1045} (157, \cdot) \) |
1-1045-1045.158-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.158 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.420$ |
$0$ |
$0.524698$ |
Dirichlet character \(\chi_{1045} (158, \cdot) \) |
1-1045-1045.162-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.162 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0250$ |
$0$ |
$0.545300$ |
Dirichlet character \(\chi_{1045} (162, \cdot) \) |
1-1045-1045.163-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.163 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.163$ |
$0$ |
$0.823635$ |
Dirichlet character \(\chi_{1045} (163, \cdot) \) |
1-1045-1045.167-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.167 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.295$ |
$0$ |
$0.533538$ |
Dirichlet character \(\chi_{1045} (167, \cdot) \) |
1-1045-1045.168-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.168 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.243$ |
$0$ |
$0.0144370$ |
Dirichlet character \(\chi_{1045} (168, \cdot) \) |
1-1045-1045.173-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.173 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.102$ |
$0$ |
$0.104813$ |
Dirichlet character \(\chi_{1045} (173, \cdot) \) |
1-1045-1045.174-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.174 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.331$ |
$0$ |
$0.718967$ |
Dirichlet character \(\chi_{1045} (174, \cdot) \) |
1-1045-1045.179-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.179 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.428$ |
$0$ |
$1.44243$ |
Dirichlet character \(\chi_{1045} (179, \cdot) \) |
1-1045-1045.18-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.18 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.450$ |
$0$ |
$0.0308912$ |
Dirichlet character \(\chi_{1045} (18, \cdot) \) |
1-1045-1045.183-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.183 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.481$ |
$0$ |
$0.0631284$ |
Dirichlet character \(\chi_{1045} (183, \cdot) \) |
1-1045-1045.193-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.193 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.223$ |
$0$ |
$0.392831$ |
Dirichlet character \(\chi_{1045} (193, \cdot) \) |
1-1045-1045.194-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.194 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.217$ |
$0$ |
$0.332938$ |
Dirichlet character \(\chi_{1045} (194, \cdot) \) |
1-1045-1045.2-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.2 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.358$ |
$0$ |
$0.718365$ |
Dirichlet character \(\chi_{1045} (2, \cdot) \) |
1-1045-1045.207-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.207 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.246$ |
$0$ |
$1.08298$ |
Dirichlet character \(\chi_{1045} (207, \cdot) \) |
1-1045-1045.208-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.208 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.411$ |
$0$ |
$0.0837040$ |
Dirichlet character \(\chi_{1045} (208, \cdot) \) |
1-1045-1045.213-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.213 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.159$ |
$0$ |
$0.763896$ |
Dirichlet character \(\chi_{1045} (213, \cdot) \) |
1-1045-1045.217-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.217 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.481$ |
$0$ |
$1.12471$ |
Dirichlet character \(\chi_{1045} (217, \cdot) \) |
1-1045-1045.218-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.218 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.139$ |
$0$ |
$0.882291$ |
Dirichlet character \(\chi_{1045} (218, \cdot) \) |
1-1045-1045.222-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.222 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.223$ |
$0$ |
$0.893360$ |
Dirichlet character \(\chi_{1045} (222, \cdot) \) |
1-1045-1045.224-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.224 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.373$ |
$0$ |
$0.864849$ |
Dirichlet character \(\chi_{1045} (224, \cdot) \) |
1-1045-1045.227-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.227 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.372$ |
$0$ |
$0.314538$ |
Dirichlet character \(\chi_{1045} (227, \cdot) \) |
1-1045-1045.238-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.238 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0732$ |
$0$ |
$0.139334$ |
Dirichlet character \(\chi_{1045} (238, \cdot) \) |
1-1045-1045.239-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.239 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.171$ |
$0$ |
$0.435677$ |
Dirichlet character \(\chi_{1045} (239, \cdot) \) |
1-1045-1045.24-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.24 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.497$ |
$0$ |
$0.181465$ |
Dirichlet character \(\chi_{1045} (24, \cdot) \) |
1-1045-1045.244-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.244 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0822$ |
$0$ |
$0.721026$ |
Dirichlet character \(\chi_{1045} (244, \cdot) \) |
1-1045-1045.258-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.258 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.278$ |
$0$ |
$0.480880$ |
Dirichlet character \(\chi_{1045} (258, \cdot) \) |
1-1045-1045.269-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.269 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.446$ |
$0$ |
$0.0833667$ |
Dirichlet character \(\chi_{1045} (269, \cdot) \) |
1-1045-1045.273-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.273 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.101$ |
$0$ |
$0.696076$ |
Dirichlet character \(\chi_{1045} (273, \cdot) \) |
1-1045-1045.279-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.279 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.107$ |
$0$ |
$0.938129$ |
Dirichlet character \(\chi_{1045} (279, \cdot) \) |
1-1045-1045.284-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.284 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0572$ |
$0$ |
$0.777743$ |
Dirichlet character \(\chi_{1045} (284, \cdot) \) |
1-1045-1045.288-r1-0-0 |
$112.$ |
$112.$ |
$1$ |
$5 \cdot 11 \cdot 19$ |
1045.288 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.269$ |
$0$ |
$0.838577$ |
Dirichlet character \(\chi_{1045} (288, \cdot) \) |