Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-115-115.108-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.108 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.273$ |
$0$ |
$1.60602$ |
Character $\chi_{115}(108, \cdot)$ |
1-115-115.109-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.109 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.115$ |
$0$ |
$0.534154$ |
Character $\chi_{115}(109, \cdot)$ |
1-115-115.114-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.114 |
$1$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$0.796910$ |
Character $\chi_{115}(114, \cdot)$ |
1-115-115.12-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.12 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.486$ |
$0$ |
$2.70627$ |
Character $\chi_{115}(12, \cdot)$ |
1-115-115.13-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.13 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0501$ |
$0$ |
$1.26589$ |
Character $\chi_{115}(13, \cdot)$ |
1-115-115.14-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.14 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.429$ |
$0$ |
$0.0972773$ |
Character $\chi_{115}(14, \cdot)$ |
1-115-115.18-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.18 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.266$ |
$0$ |
$1.26759$ |
Character $\chi_{115}(18, \cdot)$ |
1-115-115.19-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.19 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.115$ |
$0$ |
$1.41539$ |
Character $\chi_{115}(19, \cdot)$ |
1-115-115.2-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.2 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.162$ |
$0$ |
$1.13752$ |
Character $\chi_{115}(2, \cdot)$ |
1-115-115.27-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.27 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.106$ |
$0$ |
$1.13550$ |
Character $\chi_{115}(27, \cdot)$ |
1-115-115.3-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.3 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.298$ |
$0$ |
$0.223905$ |
Character $\chi_{115}(3, \cdot)$ |
1-115-115.32-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.32 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.266$ |
$0$ |
$1.90256$ |
Character $\chi_{115}(32, \cdot)$ |
1-115-115.34-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.34 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.419$ |
$0$ |
$1.85983$ |
Character $\chi_{115}(34, \cdot)$ |
1-115-115.44-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.44 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.419$ |
$0$ |
$0.668503$ |
Character $\chi_{115}(44, \cdot)$ |
1-115-115.48-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.48 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.486$ |
$0$ |
$0.505717$ |
Character $\chi_{115}(48, \cdot)$ |
1-115-115.52-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.52 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.430$ |
$0$ |
$0.946453$ |
Character $\chi_{115}(52, \cdot)$ |
1-115-115.58-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.58 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.162$ |
$0$ |
$1.14150$ |
Character $\chi_{115}(58, \cdot)$ |
1-115-115.62-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.62 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0501$ |
$0$ |
$1.32300$ |
Character $\chi_{115}(62, \cdot)$ |
1-115-115.72-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.72 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.377$ |
$0$ |
$1.72548$ |
Character $\chi_{115}(72, \cdot)$ |
1-115-115.73-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.73 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.430$ |
$0$ |
$2.64373$ |
Character $\chi_{115}(73, \cdot)$ |
1-115-115.74-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.74 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.429$ |
$0$ |
$2.33685$ |
Character $\chi_{115}(74, \cdot)$ |
1-115-115.77-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.77 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.298$ |
$0$ |
$2.26869$ |
Character $\chi_{115}(77, \cdot)$ |
1-115-115.78-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.78 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.409$ |
$0$ |
$0.280420$ |
Character $\chi_{115}(78, \cdot)$ |
1-115-115.79-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.79 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0267$ |
$0$ |
$1.53837$ |
Character $\chi_{115}(79, \cdot)$ |
1-115-115.8-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.8 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.377$ |
$0$ |
$0.101991$ |
Character $\chi_{115}(8, \cdot)$ |
1-115-115.82-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.82 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.273$ |
$0$ |
$0.632966$ |
Character $\chi_{115}(82, \cdot)$ |
1-115-115.84-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.84 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0205$ |
$0$ |
$1.76295$ |
Character $\chi_{115}(84, \cdot)$ |
1-115-115.87-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.87 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.409$ |
$0$ |
$1.13578$ |
Character $\chi_{115}(87, \cdot)$ |
1-115-115.89-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.89 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0205$ |
$0$ |
$1.59833$ |
Character $\chi_{115}(89, \cdot)$ |
1-115-115.98-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.98 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.106$ |
$0$ |
$0.198690$ |
Character $\chi_{115}(98, \cdot)$ |
1-115-115.99-r1-0-0 |
$12.3$ |
$12.3$ |
$1$ |
$5 \cdot 23$ |
115.99 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0267$ |
$0$ |
$0.396226$ |
Character $\chi_{115}(99, \cdot)$ |