| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-896-896.109-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.109 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.288$ |
$0$ |
$0.779495$ |
Dirichlet character \(\chi_{896} (109, \cdot) \) |
| 1-896-896.115-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.115 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.324$ |
$0$ |
$1.69177$ |
Dirichlet character \(\chi_{896} (115, \cdot) \) |
| 1-896-896.131-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.131 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.152$ |
$0$ |
$0.609820$ |
Dirichlet character \(\chi_{896} (131, \cdot) \) |
| 1-896-896.139-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.139 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.132$ |
$0$ |
$1.52676$ |
Dirichlet character \(\chi_{896} (139, \cdot) \) |
| 1-896-896.149-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.149 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0237$ |
$0$ |
$0.980806$ |
Dirichlet character \(\chi_{896} (149, \cdot) \) |
| 1-896-896.165-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.165 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.101$ |
$0$ |
$1.46847$ |
Dirichlet character \(\chi_{896} (165, \cdot) \) |
| 1-896-896.171-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.171 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.152$ |
$0$ |
$0.999501$ |
Dirichlet character \(\chi_{896} (171, \cdot) \) |
| 1-896-896.187-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.187 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.324$ |
$0$ |
$0.679463$ |
Dirichlet character \(\chi_{896} (187, \cdot) \) |
| 1-896-896.19-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.19 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0345$ |
$0$ |
$1.12577$ |
Dirichlet character \(\chi_{896} (19, \cdot) \) |
| 1-896-896.195-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.195 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.132$ |
$0$ |
$0.970708$ |
Dirichlet character \(\chi_{896} (195, \cdot) \) |
| 1-896-896.205-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.205 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.148$ |
$0$ |
$0.846425$ |
Dirichlet character \(\chi_{896} (205, \cdot) \) |
| 1-896-896.221-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.221 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0237$ |
$0$ |
$1.21720$ |
Dirichlet character \(\chi_{896} (221, \cdot) \) |
| 1-896-896.227-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.227 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.112$ |
$0$ |
$0.613451$ |
Dirichlet character \(\chi_{896} (227, \cdot) \) |
| 1-896-896.243-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.243 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.284$ |
$0$ |
$0.0907015$ |
Dirichlet character \(\chi_{896} (243, \cdot) \) |
| 1-896-896.251-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.251 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.195$ |
$0$ |
$1.26763$ |
Dirichlet character \(\chi_{896} (251, \cdot) \) |
| 1-896-896.261-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.261 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0387$ |
$0$ |
$0.823365$ |
Dirichlet character \(\chi_{896} (261, \cdot) \) |
| 1-896-896.27-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.27 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.445$ |
$0$ |
$0.270560$ |
Dirichlet character \(\chi_{896} (27, \cdot) \) |
| 1-896-896.277-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.277 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.210$ |
$0$ |
$1.00447$ |
Dirichlet character \(\chi_{896} (277, \cdot) \) |
| 1-896-896.283-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.283 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0345$ |
$0$ |
$0.837361$ |
Dirichlet character \(\chi_{896} (283, \cdot) \) |
| 1-896-896.299-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.299 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.112$ |
$0$ |
$1.50932$ |
Dirichlet character \(\chi_{896} (299, \cdot) \) |
| 1-896-896.3-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.3 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.112$ |
$0$ |
$1.21714$ |
Dirichlet character \(\chi_{896} (3, \cdot) \) |
| 1-896-896.307-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.307 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.195$ |
$0$ |
$0.777756$ |
Dirichlet character \(\chi_{896} (307, \cdot) \) |
| 1-896-896.317-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.317 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.210$ |
$0$ |
$1.33454$ |
Dirichlet character \(\chi_{896} (317, \cdot) \) |
| 1-896-896.333-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.333 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0387$ |
$0$ |
$0.683722$ |
Dirichlet character \(\chi_{896} (333, \cdot) \) |
| 1-896-896.339-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.339 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0748$ |
$0$ |
$0.881641$ |
Dirichlet character \(\chi_{896} (339, \cdot) \) |
| 1-896-896.355-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.355 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.152$ |
$0$ |
$1.01263$ |
Dirichlet character \(\chi_{896} (355, \cdot) \) |
| 1-896-896.363-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.363 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.132$ |
$0$ |
$1.15402$ |
Dirichlet character \(\chi_{896} (363, \cdot) \) |
| 1-896-896.37-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.37 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.288$ |
$0$ |
$1.08794$ |
Dirichlet character \(\chi_{896} (37, \cdot) \) |
| 1-896-896.373-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.373 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0237$ |
$0$ |
$0.521496$ |
Dirichlet character \(\chi_{896} (373, \cdot) \) |
| 1-896-896.389-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.389 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.148$ |
$0$ |
$0.612389$ |
Dirichlet character \(\chi_{896} (389, \cdot) \) |
| 1-896-896.395-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.395 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.347$ |
$0$ |
$0.319917$ |
Dirichlet character \(\chi_{896} (395, \cdot) \) |
| 1-896-896.411-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.411 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0748$ |
$0$ |
$0.505978$ |
Dirichlet character \(\chi_{896} (411, \cdot) \) |
| 1-896-896.419-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.419 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.132$ |
$0$ |
$0.966632$ |
Dirichlet character \(\chi_{896} (419, \cdot) \) |
| 1-896-896.429-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.429 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.101$ |
$0$ |
$1.12729$ |
Dirichlet character \(\chi_{896} (429, \cdot) \) |
| 1-896-896.445-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.445 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0237$ |
$0$ |
$1.02268$ |
Dirichlet character \(\chi_{896} (445, \cdot) \) |
| 1-896-896.451-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.451 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.387$ |
$0$ |
$1.07851$ |
Dirichlet character \(\chi_{896} (451, \cdot) \) |
| 1-896-896.467-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.467 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0345$ |
$0$ |
$1.02162$ |
Dirichlet character \(\chi_{896} (467, \cdot) \) |
| 1-896-896.475-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.475 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.445$ |
$0$ |
$1.42791$ |
Dirichlet character \(\chi_{896} (475, \cdot) \) |
| 1-896-896.485-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.485 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.288$ |
$0$ |
$1.69885$ |
Dirichlet character \(\chi_{896} (485, \cdot) \) |
| 1-896-896.501-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.501 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.210$ |
$0$ |
$0.698921$ |
Dirichlet character \(\chi_{896} (501, \cdot) \) |
| 1-896-896.507-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.507 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.284$ |
$0$ |
$1.00172$ |
Dirichlet character \(\chi_{896} (507, \cdot) \) |
| 1-896-896.523-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.523 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.387$ |
$0$ |
$0.102325$ |
Dirichlet character \(\chi_{896} (523, \cdot) \) |
| 1-896-896.53-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.53 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.289$ |
$0$ |
$1.34462$ |
Dirichlet character \(\chi_{896} (53, \cdot) \) |
| 1-896-896.531-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.531 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.445$ |
$0$ |
$2.18791$ |
Dirichlet character \(\chi_{896} (531, \cdot) \) |
| 1-896-896.541-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.541 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.289$ |
$0$ |
$0.652653$ |
Dirichlet character \(\chi_{896} (541, \cdot) \) |
| 1-896-896.557-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.557 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.288$ |
$0$ |
$0.0593545$ |
Dirichlet character \(\chi_{896} (557, \cdot) \) |
| 1-896-896.563-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.563 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.324$ |
$0$ |
$1.35472$ |
Dirichlet character \(\chi_{896} (563, \cdot) \) |
| 1-896-896.579-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.579 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.347$ |
$0$ |
$1.72107$ |
Dirichlet character \(\chi_{896} (579, \cdot) \) |
| 1-896-896.587-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.587 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.367$ |
$0$ |
$0.438303$ |
Dirichlet character \(\chi_{896} (587, \cdot) \) |
| 1-896-896.59-r0-0-0 |
$4.16$ |
$4.16$ |
$1$ |
$2^{7} \cdot 7$ |
896.59 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.284$ |
$0$ |
$2.10046$ |
Dirichlet character \(\chi_{896} (59, \cdot) \) |
