Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-1005-1005.1004-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.1004 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$1.12745$ |
Character $\chi_{1005}(1004, \cdot)$ |
1-1005-1005.107-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.107 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0545$ |
$0$ |
$1.12258$ |
Character $\chi_{1005}(107, \cdot)$ |
1-1005-1005.119-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.119 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.327$ |
$0$ |
$1.10432$ |
Character $\chi_{1005}(119, \cdot)$ |
1-1005-1005.122-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.122 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.383$ |
$0$ |
$0.663582$ |
Character $\chi_{1005}(122, \cdot)$ |
1-1005-1005.143-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.143 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0251$ |
$0$ |
$0.796407$ |
Character $\chi_{1005}(143, \cdot)$ |
1-1005-1005.158-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.158 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.187$ |
$0$ |
$0.907430$ |
Character $\chi_{1005}(158, \cdot)$ |
1-1005-1005.164-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.164 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.133$ |
$0$ |
$1.27799$ |
Character $\chi_{1005}(164, \cdot)$ |
1-1005-1005.167-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.167 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.308$ |
$0$ |
$0.999077$ |
Character $\chi_{1005}(167, \cdot)$ |
1-1005-1005.17-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.17 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.299$ |
$0$ |
$0.0230181$ |
Character $\chi_{1005}(17, \cdot)$ |
1-1005-1005.173-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.173 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.383$ |
$0$ |
$1.58032$ |
Character $\chi_{1005}(173, \cdot)$ |
1-1005-1005.179-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.179 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.265$ |
$0$ |
$1.21187$ |
Character $\chi_{1005}(179, \cdot)$ |
1-1005-1005.188-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.188 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0549$ |
$0$ |
$1.29878$ |
Character $\chi_{1005}(188, \cdot)$ |
1-1005-1005.209-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.209 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.302$ |
$0$ |
$1.62084$ |
Character $\chi_{1005}(209, \cdot)$ |
1-1005-1005.218-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.218 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.123$ |
$0$ |
$0.770449$ |
Character $\chi_{1005}(218, \cdot)$ |
1-1005-1005.227-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.227 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.374$ |
$0$ |
$1.94639$ |
Character $\chi_{1005}(227, \cdot)$ |
1-1005-1005.23-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.23 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0955$ |
$0$ |
$0.647449$ |
Character $\chi_{1005}(23, \cdot)$ |
1-1005-1005.239-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.239 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.133$ |
$0$ |
$0.172028$ |
Character $\chi_{1005}(239, \cdot)$ |
1-1005-1005.248-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.248 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.102$ |
$0$ |
$1.43716$ |
Character $\chi_{1005}(248, \cdot)$ |
1-1005-1005.254-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.254 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.206$ |
$0$ |
$1.47469$ |
Character $\chi_{1005}(254, \cdot)$ |
1-1005-1005.257-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.257 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.434$ |
$0$ |
$1.79956$ |
Character $\chi_{1005}(257, \cdot)$ |
1-1005-1005.263-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.263 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0545$ |
$0$ |
$1.02686$ |
Character $\chi_{1005}(263, \cdot)$ |
1-1005-1005.272-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.272 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.123$ |
$0$ |
$1.03516$ |
Character $\chi_{1005}(272, \cdot)$ |
1-1005-1005.278-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.278 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.278$ |
$0$ |
$0.371648$ |
Character $\chi_{1005}(278, \cdot)$ |
1-1005-1005.287-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.287 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.449$ |
$0$ |
$0.330181$ |
Character $\chi_{1005}(287, \cdot)$ |
1-1005-1005.293-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.293 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.158$ |
$0$ |
$1.37946$ |
Character $\chi_{1005}(293, \cdot)$ |
1-1005-1005.299-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.299 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.288$ |
$0$ |
$0.726209$ |
Character $\chi_{1005}(299, \cdot)$ |
1-1005-1005.308-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.308 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.121$ |
$0$ |
$0.633446$ |
Character $\chi_{1005}(308, \cdot)$ |
1-1005-1005.314-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.314 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0544$ |
$0$ |
$0.725385$ |
Character $\chi_{1005}(314, \cdot)$ |
1-1005-1005.317-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.317 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.198$ |
$0$ |
$0.324139$ |
Character $\chi_{1005}(317, \cdot)$ |
1-1005-1005.323-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.323 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.440$ |
$0$ |
$1.05366$ |
Character $\chi_{1005}(323, \cdot)$ |
1-1005-1005.329-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.329 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.121$ |
$0$ |
$1.06673$ |
Character $\chi_{1005}(329, \cdot)$ |
1-1005-1005.332-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.332 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.234$ |
$0$ |
$1.45413$ |
Character $\chi_{1005}(332, \cdot)$ |
1-1005-1005.368-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.368 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.132$ |
$0$ |
$1.53852$ |
Character $\chi_{1005}(368, \cdot)$ |
1-1005-1005.404-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.404 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0214$ |
$0$ |
$1.15942$ |
Character $\chi_{1005}(404, \cdot)$ |
1-1005-1005.428-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.428 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.198$ |
$0$ |
$1.10554$ |
Character $\chi_{1005}(428, \cdot)$ |
1-1005-1005.434-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.434 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.202$ |
$0$ |
$1.37264$ |
Character $\chi_{1005}(434, \cdot)$ |
1-1005-1005.437-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.437 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0955$ |
$0$ |
$0.545862$ |
Character $\chi_{1005}(437, \cdot)$ |
1-1005-1005.44-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.44 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.202$ |
$0$ |
$1.14579$ |
Character $\chi_{1005}(44, \cdot)$ |
1-1005-1005.458-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.458 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.388$ |
$0$ |
$0.194113$ |
Character $\chi_{1005}(458, \cdot)$ |
1-1005-1005.467-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.467 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.132$ |
$0$ |
$0.349874$ |
Character $\chi_{1005}(467, \cdot)$ |
1-1005-1005.47-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.47 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.278$ |
$0$ |
$1.30411$ |
Character $\chi_{1005}(47, \cdot)$ |
1-1005-1005.473-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.473 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.299$ |
$0$ |
$1.55580$ |
Character $\chi_{1005}(473, \cdot)$ |
1-1005-1005.488-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.488 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.273$ |
$0$ |
$1.12945$ |
Character $\chi_{1005}(488, \cdot)$ |
1-1005-1005.518-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.518 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.374$ |
$0$ |
$0.599412$ |
Character $\chi_{1005}(518, \cdot)$ |
1-1005-1005.533-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.533 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0586$ |
$0$ |
$0.939312$ |
Character $\chi_{1005}(533, \cdot)$ |
1-1005-1005.539-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.539 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.265$ |
$0$ |
$0.503768$ |
Character $\chi_{1005}(539, \cdot)$ |
1-1005-1005.542-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.542 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.388$ |
$0$ |
$1.77206$ |
Character $\chi_{1005}(542, \cdot)$ |
1-1005-1005.554-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.554 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.369$ |
$0$ |
$1.33978$ |
Character $\chi_{1005}(554, \cdot)$ |
1-1005-1005.557-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.557 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.373$ |
$0$ |
$0.661036$ |
Character $\chi_{1005}(557, \cdot)$ |
1-1005-1005.572-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$3 \cdot 5 \cdot 67$ |
1005.572 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0549$ |
$0$ |
$1.27980$ |
Character $\chi_{1005}(572, \cdot)$ |