Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-712-712.109-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.109 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.225$ |
$0$ |
$1.04086$ |
Character $\chi_{712}(109, \cdot)$ |
1-712-712.115-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.115 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0488$ |
$0$ |
$0.555342$ |
Character $\chi_{712}(115, \cdot)$ |
1-712-712.125-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.125 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0230$ |
$0$ |
$1.06866$ |
Character $\chi_{712}(125, \cdot)$ |
1-712-712.133-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.133 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.401$ |
$0$ |
$0.783169$ |
Character $\chi_{712}(133, \cdot)$ |
1-712-712.147-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.147 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.136$ |
$0$ |
$0.900458$ |
Character $\chi_{712}(147, \cdot)$ |
1-712-712.155-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.155 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.136$ |
$0$ |
$1.20902$ |
Character $\chi_{712}(155, \cdot)$ |
1-712-712.157-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.157 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.311$ |
$0$ |
$0.777703$ |
Character $\chi_{712}(157, \cdot)$ |
1-712-712.163-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.163 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0315$ |
$0$ |
$0.679230$ |
Character $\chi_{712}(163, \cdot)$ |
1-712-712.171-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.171 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.380$ |
$0$ |
$1.38057$ |
Character $\chi_{712}(171, \cdot)$ |
1-712-712.173-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.173 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0765$ |
$0$ |
$1.09575$ |
Character $\chi_{712}(173, \cdot)$ |
1-712-712.189-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.189 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0700$ |
$0$ |
$0.400188$ |
Character $\chi_{712}(189, \cdot)$ |
1-712-712.19-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.19 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.117$ |
$0$ |
$0.711849$ |
Character $\chi_{712}(19, \cdot)$ |
1-712-712.21-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.21 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.407$ |
$0$ |
$0.274369$ |
Character $\chi_{712}(21, \cdot)$ |
1-712-712.211-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.211 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0917$ |
$0$ |
$1.11861$ |
Character $\chi_{712}(211, \cdot)$ |
1-712-712.219-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.219 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.287$ |
$0$ |
$1.45027$ |
Character $\chi_{712}(219, \cdot)$ |
1-712-712.243-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.243 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0748$ |
$0$ |
$1.16245$ |
Character $\chi_{712}(243, \cdot)$ |
1-712-712.245-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.245 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.162$ |
$0$ |
$1.37522$ |
Character $\chi_{712}(245, \cdot)$ |
1-712-712.269-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.269 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.381$ |
$0$ |
$0.432050$ |
Character $\chi_{712}(269, \cdot)$ |
1-712-712.27-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.27 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0917$ |
$0$ |
$1.62024$ |
Character $\chi_{712}(27, \cdot)$ |
1-712-712.277-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.277 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.115$ |
$0$ |
$0.781232$ |
Character $\chi_{712}(277, \cdot)$ |
1-712-712.285-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.285 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.343$ |
$0$ |
$0.148755$ |
Character $\chi_{712}(285, \cdot)$ |
1-712-712.291-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.291 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0488$ |
$0$ |
$0.563530$ |
Character $\chi_{712}(291, \cdot)$ |
1-712-712.3-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.3 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.188$ |
$0$ |
$1.43950$ |
Character $\chi_{712}(3, \cdot)$ |
1-712-712.301-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.301 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.169$ |
$0$ |
$1.60926$ |
Character $\chi_{712}(301, \cdot)$ |
1-712-712.309-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.309 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.344$ |
$0$ |
$1.42385$ |
Character $\chi_{712}(309, \cdot)$ |
1-712-712.315-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.315 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.349$ |
$0$ |
$1.72787$ |
Character $\chi_{712}(315, \cdot)$ |
1-712-712.317-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.317 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00363$ |
$0$ |
$0.510079$ |
Character $\chi_{712}(317, \cdot)$ |
1-712-712.323-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.323 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.274$ |
$0$ |
$1.44696$ |
Character $\chi_{712}(323, \cdot)$ |
1-712-712.35-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.35 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0687$ |
$0$ |
$0.891877$ |
Character $\chi_{712}(35, \cdot)$ |
1-712-712.363-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.363 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.110$ |
$0$ |
$1.23883$ |
Character $\chi_{712}(363, \cdot)$ |
1-712-712.365-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.365 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.115$ |
$0$ |
$1.24511$ |
Character $\chi_{712}(365, \cdot)$ |
1-712-712.371-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.371 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.263$ |
$0$ |
$1.07831$ |
Character $\chi_{712}(371, \cdot)$ |
1-712-712.373-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.373 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.407$ |
$0$ |
$1.45196$ |
Character $\chi_{712}(373, \cdot)$ |
1-712-712.379-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.379 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.439$ |
$0$ |
$0.414791$ |
Character $\chi_{712}(379, \cdot)$ |
1-712-712.381-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.381 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0342$ |
$0$ |
$1.45694$ |
Character $\chi_{712}(381, \cdot)$ |
1-712-712.387-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.387 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.439$ |
$0$ |
$1.61999$ |
Character $\chi_{712}(387, \cdot)$ |
1-712-712.405-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.405 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.225$ |
$0$ |
$1.10134$ |
Character $\chi_{712}(405, \cdot)$ |
1-712-712.413-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.413 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0342$ |
$0$ |
$1.31716$ |
Character $\chi_{712}(413, \cdot)$ |
1-712-712.419-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.419 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0748$ |
$0$ |
$1.10122$ |
Character $\chi_{712}(419, \cdot)$ |
1-712-712.429-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.429 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00363$ |
$0$ |
$0.742202$ |
Character $\chi_{712}(429, \cdot)$ |
1-712-712.43-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.43 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.247$ |
$0$ |
$1.04330$ |
Character $\chi_{712}(43, \cdot)$ |
1-712-712.437-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.437 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0700$ |
$0$ |
$0.881635$ |
Character $\chi_{712}(437, \cdot)$ |
1-712-712.45-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.45 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.381$ |
$0$ |
$1.46256$ |
Character $\chi_{712}(45, \cdot)$ |
1-712-712.451-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.451 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.263$ |
$0$ |
$1.71661$ |
Character $\chi_{712}(451, \cdot)$ |
1-712-712.453-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.453 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.150$ |
$0$ |
$1.52663$ |
Character $\chi_{712}(453, \cdot)$ |
1-712-712.459-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.459 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.311$ |
$0$ |
$0.436999$ |
Character $\chi_{712}(459, \cdot)$ |
1-712-712.461-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.461 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.426$ |
$0$ |
$1.85982$ |
Character $\chi_{712}(461, \cdot)$ |
1-712-712.475-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.475 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.188$ |
$0$ |
$0.871929$ |
Character $\chi_{712}(475, \cdot)$ |
1-712-712.477-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.477 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.324$ |
$0$ |
$1.24834$ |
Character $\chi_{712}(477, \cdot)$ |
1-712-712.483-r0-0-0 |
$3.30$ |
$3.30$ |
$1$ |
$2^{3} \cdot 89$ |
712.483 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.380$ |
$0$ |
$0.247985$ |
Character $\chi_{712}(483, \cdot)$ |