Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-684-684.103-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.103 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.289$ |
$0$ |
$0.380889$ |
Character $\chi_{684}(103, \cdot)$ |
1-684-684.11-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.11 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.160$ |
$0$ |
$0.542541$ |
Character $\chi_{684}(11, \cdot)$ |
1-684-684.119-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.119 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.228$ |
$0$ |
$1.41074$ |
Character $\chi_{684}(119, \cdot)$ |
1-684-684.131-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.131 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.136$ |
$0$ |
$1.47521$ |
Character $\chi_{684}(131, \cdot)$ |
1-684-684.151-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.151 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.222$ |
$0$ |
$1.37216$ |
Character $\chi_{684}(151, \cdot)$ |
1-684-684.211-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.211 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.301$ |
$0$ |
$1.36782$ |
Character $\chi_{684}(211, \cdot)$ |
1-684-684.223-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.223 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.352$ |
$0$ |
$1.27423$ |
Character $\chi_{684}(223, \cdot)$ |
1-684-684.23-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.23 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.228$ |
$0$ |
$0.591069$ |
Character $\chi_{684}(23, \cdot)$ |
1-684-684.239-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.239 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.105$ |
$0$ |
$1.07086$ |
Character $\chi_{684}(239, \cdot)$ |
1-684-684.259-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.259 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.289$ |
$0$ |
$1.51337$ |
Character $\chi_{684}(259, \cdot)$ |
1-684-684.263-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.263 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.192$ |
$0$ |
$0.325509$ |
Character $\chi_{684}(263, \cdot)$ |
1-684-684.275-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.275 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0808$ |
$0$ |
$0.637446$ |
Character $\chi_{684}(275, \cdot)$ |
1-684-684.295-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.295 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.301$ |
$0$ |
$0.358689$ |
Character $\chi_{684}(295, \cdot)$ |
1-684-684.31-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.31 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.154$ |
$0$ |
$0.939141$ |
Character $\chi_{684}(31, \cdot)$ |
1-684-684.311-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.311 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.160$ |
$0$ |
$1.11925$ |
Character $\chi_{684}(311, \cdot)$ |
1-684-684.319-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.319 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.352$ |
$0$ |
$0.151545$ |
Character $\chi_{684}(319, \cdot)$ |
1-684-684.331-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.331 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.154$ |
$0$ |
$1.63077$ |
Character $\chi_{684}(331, \cdot)$ |
1-684-684.347-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.347 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.283$ |
$0$ |
$1.49342$ |
Character $\chi_{684}(347, \cdot)$ |
1-684-684.355-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.355 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.166$ |
$0$ |
$1.32046$ |
Character $\chi_{684}(355, \cdot)$ |
1-684-684.439-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.439 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.246$ |
$0$ |
$0.349062$ |
Character $\chi_{684}(439, \cdot)$ |
1-684-684.443-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.443 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.136$ |
$0$ |
$1.26748$ |
Character $\chi_{684}(443, \cdot)$ |
1-684-684.47-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.47 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.136$ |
$0$ |
$1.00235$ |
Character $\chi_{684}(47, \cdot)$ |
1-684-684.479-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.479 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.283$ |
$0$ |
$0.632000$ |
Character $\chi_{684}(479, \cdot)$ |
1-684-684.491-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.491 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.136$ |
$0$ |
$0.855160$ |
Character $\chi_{684}(491, \cdot)$ |
1-684-684.535-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.535 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.388$ |
$0$ |
$1.89798$ |
Character $\chi_{684}(535, \cdot)$ |
1-684-684.547-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.547 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0919$ |
$0$ |
$1.24335$ |
Character $\chi_{684}(547, \cdot)$ |
1-684-684.583-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.583 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.388$ |
$0$ |
$0.485649$ |
Character $\chi_{684}(583, \cdot)$ |
1-684-684.587-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.587 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0808$ |
$0$ |
$1.05529$ |
Character $\chi_{684}(587, \cdot)$ |
1-684-684.607-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.607 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.222$ |
$0$ |
$0.800673$ |
Character $\chi_{684}(607, \cdot)$ |
1-684-684.67-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.67 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.246$ |
$0$ |
$1.37175$ |
Character $\chi_{684}(67, \cdot)$ |
1-684-684.671-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.671 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.192$ |
$0$ |
$1.00388$ |
Character $\chi_{684}(671, \cdot)$ |
1-684-684.679-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.679 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0919$ |
$0$ |
$0.905201$ |
Character $\chi_{684}(679, \cdot)$ |
1-684-684.79-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.79 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.166$ |
$0$ |
$0.805571$ |
Character $\chi_{684}(79, \cdot)$ |
1-684-684.83-r0-0-0 |
$3.17$ |
$3.17$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.83 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.105$ |
$0$ |
$1.22657$ |
Character $\chi_{684}(83, \cdot)$ |
1-684-684.139-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.139 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0579$ |
$0$ |
$0.540938$ |
Character $\chi_{684}(139, \cdot)$ |
1-684-684.155-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.155 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0834$ |
$0$ |
$0.539159$ |
Character $\chi_{684}(155, \cdot)$ |
1-684-684.167-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.167 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.397$ |
$0$ |
$0.0200497$ |
Character $\chi_{684}(167, \cdot)$ |
1-684-684.175-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.175 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.478$ |
$0$ |
$1.33569$ |
Character $\chi_{684}(175, \cdot)$ |
1-684-684.187-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.187 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0579$ |
$0$ |
$0.836852$ |
Character $\chi_{684}(187, \cdot)$ |
1-684-684.203-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.203 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0834$ |
$0$ |
$0.464620$ |
Character $\chi_{684}(203, \cdot)$ |
1-684-684.227-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.227 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.472$ |
$0$ |
$0.0733697$ |
Character $\chi_{684}(227, \cdot)$ |
1-684-684.283-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.283 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.113$ |
$0$ |
$0.328705$ |
Character $\chi_{684}(283, \cdot)$ |
1-684-684.299-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.299 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.397$ |
$0$ |
$1.75926$ |
Character $\chi_{684}(299, \cdot)$ |
1-684-684.335-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.335 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.460$ |
$0$ |
$1.60032$ |
Character $\chi_{684}(335, \cdot)$ |
1-684-684.367-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.367 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.386$ |
$0$ |
$0.0547565$ |
Character $\chi_{684}(367, \cdot)$ |
1-684-684.371-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.371 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0518$ |
$0$ |
$1.13682$ |
Character $\chi_{684}(371, \cdot)$ |
1-684-684.383-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.383 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.138$ |
$0$ |
$1.05642$ |
Character $\chi_{684}(383, \cdot)$ |
1-684-684.391-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.391 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.355$ |
$0$ |
$0.253164$ |
Character $\chi_{684}(391, \cdot)$ |
1-684-684.403-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.403 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0339$ |
$0$ |
$0.792029$ |
Character $\chi_{684}(403, \cdot)$ |
1-684-684.407-r1-0-0 |
$73.5$ |
$73.5$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
684.407 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.404$ |
$0$ |
$1.19395$ |
Character $\chi_{684}(407, \cdot)$ |