| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-117-117.103-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.103 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.222$ |
$0$ |
$1.43953$ |
Character $\chi_{117}(103, \cdot)$ |
| 1-117-117.11-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.11 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.104$ |
$0$ |
$1.77484$ |
Character $\chi_{117}(11, \cdot)$ |
| 1-117-117.110-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.110 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0494$ |
$0$ |
$1.47083$ |
Character $\chi_{117}(110, \cdot)$ |
| 1-117-117.16-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0982$ |
$0$ |
$2.36510$ |
Character $\chi_{117}(16, \cdot)$ |
| 1-117-117.2-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.2 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.198$ |
$0$ |
$0.380691$ |
Character $\chi_{117}(2, \cdot)$ |
| 1-117-117.20-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.20 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.142$ |
$0$ |
$2.25972$ |
Character $\chi_{117}(20, \cdot)$ |
| 1-117-117.22-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.22 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0982$ |
$0$ |
$1.55093$ |
Character $\chi_{117}(22, \cdot)$ |
| 1-117-117.25-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.25 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.222$ |
$0$ |
$2.05490$ |
Character $\chi_{117}(25, \cdot)$ |
| 1-117-117.32-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.32 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.104$ |
$0$ |
$1.42460$ |
Character $\chi_{117}(32, \cdot)$ |
| 1-117-117.4-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.196$ |
$0$ |
$1.94648$ |
Character $\chi_{117}(4, \cdot)$ |
| 1-117-117.41-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.41 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.142$ |
$0$ |
$1.82418$ |
Character $\chi_{117}(41, \cdot)$ |
| 1-117-117.43-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.43 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.359$ |
$0$ |
$1.06726$ |
Character $\chi_{117}(43, \cdot)$ |
| 1-117-117.47-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.47 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.175$ |
$0$ |
$1.64168$ |
Character $\chi_{117}(47, \cdot)$ |
| 1-117-117.49-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.49 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.359$ |
$0$ |
$2.65339$ |
Character $\chi_{117}(49, \cdot)$ |
| 1-117-117.5-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.5 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.175$ |
$0$ |
$1.13088$ |
Character $\chi_{117}(5, \cdot)$ |
| 1-117-117.50-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.50 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0494$ |
$0$ |
$0.903603$ |
Character $\chi_{117}(50, \cdot)$ |
| 1-117-117.59-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.59 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.198$ |
$0$ |
$2.16023$ |
Character $\chi_{117}(59, \cdot)$ |
| 1-117-117.61-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.61 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.346$ |
$0$ |
$1.92174$ |
Character $\chi_{117}(61, \cdot)$ |
| 1-117-117.83-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.83 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.230$ |
$0$ |
$1.33432$ |
Character $\chi_{117}(83, \cdot)$ |
| 1-117-117.86-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.86 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.230$ |
$0$ |
$2.49396$ |
Character $\chi_{117}(86, \cdot)$ |
| 1-117-117.88-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.88 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.196$ |
$0$ |
$0.967225$ |
Character $\chi_{117}(88, \cdot)$ |
| 1-117-117.94-r0-0-0 |
$0.543$ |
$0.543$ |
$1$ |
$3^{2} \cdot 13$ |
117.94 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.346$ |
$0$ |
$0.842717$ |
Character $\chi_{117}(94, \cdot)$ |
| 1-117-117.101-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.101 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0535$ |
$0$ |
$1.57591$ |
Character $\chi_{117}(101, \cdot)$ |
| 1-117-117.106-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.106 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0514$ |
$0$ |
$1.49522$ |
Character $\chi_{117}(106, \cdot)$ |
| 1-117-117.112-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.112 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0190$ |
$0$ |
$1.31867$ |
Character $\chi_{117}(112, \cdot)$ |
| 1-117-117.113-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.113 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.348$ |
$0$ |
$0.231548$ |
Character $\chi_{117}(113, \cdot)$ |
| 1-117-117.115-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.115 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.145$ |
$0$ |
$0.919373$ |
Character $\chi_{117}(115, \cdot)$ |
| 1-117-117.23-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.23 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.109$ |
$0$ |
$1.14967$ |
Character $\chi_{117}(23, \cdot)$ |
| 1-117-117.29-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.29 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.348$ |
$0$ |
$1.57902$ |
Character $\chi_{117}(29, \cdot)$ |
| 1-117-117.31-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.31 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.425$ |
$0$ |
$2.83687$ |
Character $\chi_{117}(31, \cdot)$ |
| 1-117-117.34-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.34 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.425$ |
$0$ |
$0.156895$ |
Character $\chi_{117}(34, \cdot)$ |
| 1-117-117.38-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.38 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.472$ |
$0$ |
$0.0230591$ |
Character $\chi_{117}(38, \cdot)$ |
| 1-117-117.56-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.56 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.109$ |
$0$ |
$0.265875$ |
Character $\chi_{117}(56, \cdot)$ |
| 1-117-117.58-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.58 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.145$ |
$0$ |
$0.985189$ |
Character $\chi_{117}(58, \cdot)$ |
| 1-117-117.67-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.67 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.392$ |
$0$ |
$1.94325$ |
Character $\chi_{117}(67, \cdot)$ |
| 1-117-117.68-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.68 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.403$ |
$0$ |
$2.09168$ |
Character $\chi_{117}(68, \cdot)$ |
| 1-117-117.7-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.7 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.392$ |
$0$ |
$0.0978962$ |
Character $\chi_{117}(7, \cdot)$ |
| 1-117-117.70-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.70 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0190$ |
$0$ |
$1.03027$ |
Character $\chi_{117}(70, \cdot)$ |
| 1-117-117.74-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.74 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.403$ |
$0$ |
$0.896283$ |
Character $\chi_{117}(74, \cdot)$ |
| 1-117-117.76-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.76 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.299$ |
$0$ |
$1.03487$ |
Character $\chi_{117}(76, \cdot)$ |
| 1-117-117.77-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.77 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.472$ |
$0$ |
$1.53958$ |
Character $\chi_{117}(77, \cdot)$ |
| 1-117-117.85-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.85 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0514$ |
$0$ |
$0.600778$ |
Character $\chi_{117}(85, \cdot)$ |
| 1-117-117.95-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.95 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0535$ |
$0$ |
$1.34090$ |
Character $\chi_{117}(95, \cdot)$ |
| 1-117-117.97-r1-0-0 |
$12.5$ |
$12.5$ |
$1$ |
$3^{2} \cdot 13$ |
117.97 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.299$ |
$0$ |
$2.25956$ |
Character $\chi_{117}(97, \cdot)$ |
