| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-475-475.103-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.103 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.188$ |
$0$ |
$1.10649$ |
Dirichlet character \(\chi_{475} (103, \cdot) \) |
| 1-475-475.104-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.104 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.00918$ |
$0$ |
$0.943763$ |
Dirichlet character \(\chi_{475} (104, \cdot) \) |
| 1-475-475.106-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.106 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.193$ |
$0$ |
$1.40447$ |
Dirichlet character \(\chi_{475} (106, \cdot) \) |
| 1-475-475.108-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.108 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0901$ |
$0$ |
$0.648529$ |
Dirichlet character \(\chi_{475} (108, \cdot) \) |
| 1-475-475.11-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.11 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.153$ |
$0$ |
$1.00510$ |
Dirichlet character \(\chi_{475} (11, \cdot) \) |
| 1-475-475.111-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.111 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.344$ |
$0$ |
$1.85210$ |
Dirichlet character \(\chi_{475} (111, \cdot) \) |
| 1-475-475.113-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.113 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.380$ |
$0$ |
$1.56212$ |
Dirichlet character \(\chi_{475} (113, \cdot) \) |
| 1-475-475.117-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.117 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0898$ |
$0$ |
$0.839447$ |
Dirichlet character \(\chi_{475} (117, \cdot) \) |
| 1-475-475.119-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.119 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.471$ |
$0$ |
$0.730401$ |
Dirichlet character \(\chi_{475} (119, \cdot) \) |
| 1-475-475.12-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.12 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.281$ |
$0$ |
$1.48252$ |
Dirichlet character \(\chi_{475} (12, \cdot) \) |
| 1-475-475.121-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.121 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.193$ |
$0$ |
$1.09650$ |
Dirichlet character \(\chi_{475} (121, \cdot) \) |
| 1-475-475.122-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.122 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.188$ |
$0$ |
$2.01785$ |
Dirichlet character \(\chi_{475} (122, \cdot) \) |
| 1-475-475.127-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.127 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.119$ |
$0$ |
$1.31308$ |
Dirichlet character \(\chi_{475} (127, \cdot) \) |
| 1-475-475.128-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.128 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.275$ |
$0$ |
$1.60334$ |
Dirichlet character \(\chi_{475} (128, \cdot) \) |
| 1-475-475.13-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.13 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.120$ |
$0$ |
$2.72321$ |
Dirichlet character \(\chi_{475} (13, \cdot) \) |
| 1-475-475.131-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.131 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.00918$ |
$0$ |
$1.77681$ |
Dirichlet character \(\chi_{475} (131, \cdot) \) |
| 1-475-475.139-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.139 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.395$ |
$0$ |
$2.28705$ |
Dirichlet character \(\chi_{475} (139, \cdot) \) |
| 1-475-475.144-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.144 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.193$ |
$0$ |
$1.52440$ |
Dirichlet character \(\chi_{475} (144, \cdot) \) |
| 1-475-475.147-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.147 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.275$ |
$0$ |
$1.38919$ |
Dirichlet character \(\chi_{475} (147, \cdot) \) |
| 1-475-475.148-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.148 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.434$ |
$0$ |
$1.88510$ |
Dirichlet character \(\chi_{475} (148, \cdot) \) |
| 1-475-475.156-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.156 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.151$ |
$0$ |
$0.444220$ |
Dirichlet character \(\chi_{475} (156, \cdot) \) |
| 1-475-475.159-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.159 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.346$ |
$0$ |
$2.04542$ |
Dirichlet character \(\chi_{475} (159, \cdot) \) |
| 1-475-475.16-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.16 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.104$ |
$0$ |
$0.728969$ |
Dirichlet character \(\chi_{475} (16, \cdot) \) |
| 1-475-475.161-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.161 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.289$ |
$0$ |
$0.874365$ |
Dirichlet character \(\chi_{475} (161, \cdot) \) |
| 1-475-475.162-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.162 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.133$ |
$0$ |
$0.840380$ |
Dirichlet character \(\chi_{475} (162, \cdot) \) |
| 1-475-475.167-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.167 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.275$ |
$0$ |
$0.134612$ |
Dirichlet character \(\chi_{475} (167, \cdot) \) |
| 1-475-475.169-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.169 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.00918$ |
$0$ |
$0.966094$ |
Dirichlet character \(\chi_{475} (169, \cdot) \) |
| 1-475-475.173-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.173 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.133$ |
$0$ |
$0.810477$ |
Dirichlet character \(\chi_{475} (173, \cdot) \) |
| 1-475-475.183-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.183 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.188$ |
$0$ |
$1.34745$ |
Dirichlet character \(\chi_{475} (183, \cdot) \) |
| 1-475-475.192-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.192 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.156$ |
$0$ |
$1.20134$ |
Dirichlet character \(\chi_{475} (192, \cdot) \) |
| 1-475-475.194-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.194 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.151$ |
$0$ |
$1.16836$ |
Dirichlet character \(\chi_{475} (194, \cdot) \) |
| 1-475-475.196-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.196 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.384$ |
$0$ |
$1.50174$ |
Dirichlet character \(\chi_{475} (196, \cdot) \) |
| 1-475-475.198-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.198 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.281$ |
$0$ |
$0.960988$ |
Dirichlet character \(\chi_{475} (198, \cdot) \) |
| 1-475-475.2-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.2 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.366$ |
$0$ |
$2.13704$ |
Dirichlet character \(\chi_{475} (2, \cdot) \) |
| 1-475-475.202-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.202 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0210$ |
$0$ |
$1.49344$ |
Dirichlet character \(\chi_{475} (202, \cdot) \) |
| 1-475-475.203-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.203 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0898$ |
$0$ |
$1.44430$ |
Dirichlet character \(\chi_{475} (203, \cdot) \) |
| 1-475-475.206-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.206 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.384$ |
$0$ |
$0.109368$ |
Dirichlet character \(\chi_{475} (206, \cdot) \) |
| 1-475-475.208-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.208 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.410$ |
$0$ |
$0.169601$ |
Dirichlet character \(\chi_{475} (208, \cdot) \) |
| 1-475-475.212-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.212 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.380$ |
$0$ |
$1.27258$ |
Dirichlet character \(\chi_{475} (212, \cdot) \) |
| 1-475-475.214-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.214 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0682$ |
$0$ |
$0.647855$ |
Dirichlet character \(\chi_{475} (214, \cdot) \) |
| 1-475-475.216-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.216 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.153$ |
$0$ |
$0.957009$ |
Dirichlet character \(\chi_{475} (216, \cdot) \) |
| 1-475-475.217-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.217 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.00891$ |
$0$ |
$1.53168$ |
Dirichlet character \(\chi_{475} (217, \cdot) \) |
| 1-475-475.22-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.22 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0901$ |
$0$ |
$0.822814$ |
Dirichlet character \(\chi_{475} (22, \cdot) \) |
| 1-475-475.222-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.222 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0898$ |
$0$ |
$1.02139$ |
Dirichlet character \(\chi_{475} (222, \cdot) \) |
| 1-475-475.223-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.223 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.194$ |
$0$ |
$1.43679$ |
Dirichlet character \(\chi_{475} (223, \cdot) \) |
| 1-475-475.227-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.227 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.380$ |
$0$ |
$0.504691$ |
Dirichlet character \(\chi_{475} (227, \cdot) \) |
| 1-475-475.234-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.234 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.155$ |
$0$ |
$1.47813$ |
Dirichlet character \(\chi_{475} (234, \cdot) \) |
| 1-475-475.238-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.238 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.366$ |
$0$ |
$0.881888$ |
Dirichlet character \(\chi_{475} (238, \cdot) \) |
| 1-475-475.239-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.239 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.346$ |
$0$ |
$0.859915$ |
Dirichlet character \(\chi_{475} (239, \cdot) \) |
| 1-475-475.242-r0-0-0 |
$2.20$ |
$2.20$ |
$1$ |
$5^{2} \cdot 19$ |
475.242 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0958$ |
$0$ |
$1.36962$ |
Dirichlet character \(\chi_{475} (242, \cdot) \) |
