| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-1-1.1-r0-0-0 |
$0.00464$ |
$0.00464$ |
$1$ |
$1$ |
1.1 |
|
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$14.1347$ |
Artin representation 1.1.1t1.a Artin representation 1.1.1t1.a.a Character $\chi_{1}(1, \cdot)$ Number field \(\Q\) |
| 1-5-5.4-r0-0-0 |
$0.0232$ |
$0.0232$ |
$1$ |
$5$ |
5.4 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$6.64845$ |
Character $\chi_{5}(4, \cdot)$ |
| 1-7-7.2-r0-0-0 |
$0.0325$ |
$0.0325$ |
$1$ |
$7$ |
7.2 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0732$ |
$0$ |
$4.35640$ |
Character $\chi_{7}(2, \cdot)$ |
| 1-7-7.4-r0-0-0 |
$0.0325$ |
$0.0325$ |
$1$ |
$7$ |
7.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0732$ |
$0$ |
$6.20123$ |
Character $\chi_{7}(4, \cdot)$ |
| 1-2e3-8.5-r0-0-0 |
$0.0371$ |
$0.0371$ |
$1$ |
$2^{3}$ |
8.5 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$4.89997$ |
Character $\chi_{8}(5, \cdot)$ |
| 1-3e2-9.4-r0-0-0 |
$0.0417$ |
$0.0417$ |
$1$ |
$3^{2}$ |
9.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.111$ |
$0$ |
$5.31957$ |
Character $\chi_{9}(4, \cdot)$ |
| 1-3e2-9.7-r0-0-0 |
$0.0417$ |
$0.0417$ |
$1$ |
$3^{2}$ |
9.7 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.111$ |
$0$ |
$3.44409$ |
Character $\chi_{9}(7, \cdot)$ |
| 1-11-11.3-r0-0-0 |
$0.0510$ |
$0.0510$ |
$1$ |
$11$ |
11.3 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.103$ |
$0$ |
$3.61004$ |
Character $\chi_{11}(3, \cdot)$ |
| 1-11-11.4-r0-0-0 |
$0.0510$ |
$0.0510$ |
$1$ |
$11$ |
11.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.103$ |
$0$ |
$5.13369$ |
Character $\chi_{11}(4, \cdot)$ |
| 1-11-11.5-r0-0-0 |
$0.0510$ |
$0.0510$ |
$1$ |
$11$ |
11.5 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.142$ |
$0$ |
$4.62935$ |
Character $\chi_{11}(5, \cdot)$ |
| 1-11-11.9-r0-0-0 |
$0.0510$ |
$0.0510$ |
$1$ |
$11$ |
11.9 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.142$ |
$0$ |
$2.69600$ |
Character $\chi_{11}(9, \cdot)$ |
| 1-12-12.11-r0-0-0 |
$0.0557$ |
$0.0557$ |
$1$ |
$2^{2} \cdot 3$ |
12.11 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$3.80462$ |
Character $\chi_{12}(11, \cdot)$ |
| 1-13-13.10-r0-0-0 |
$0.0603$ |
$0.0603$ |
$1$ |
$13$ |
13.10 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0853$ |
$0$ |
$3.66097$ |
Character $\chi_{13}(10, \cdot)$ |
| 1-13-13.12-r0-0-0 |
$0.0603$ |
$0.0603$ |
$1$ |
$13$ |
13.12 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$3.11934$ |
Character $\chi_{13}(12, \cdot)$ |
| 1-13-13.3-r0-0-0 |
$0.0603$ |
$0.0603$ |
$1$ |
$13$ |
13.3 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.209$ |
$0$ |
$4.93859$ |
Character $\chi_{13}(3, \cdot)$ |
| 1-13-13.4-r0-0-0 |
$0.0603$ |
$0.0603$ |
$1$ |
$13$ |
13.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0853$ |
$0$ |
$4.45485$ |
Character $\chi_{13}(4, \cdot)$ |
| 1-13-13.9-r0-0-0 |
$0.0603$ |
$0.0603$ |
$1$ |
$13$ |
13.9 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.209$ |
$0$ |
$2.27313$ |
Character $\chi_{13}(9, \cdot)$ |
| 1-15-15.2-r0-0-0 |
$0.0696$ |
$0.0696$ |
$1$ |
$3 \cdot 5$ |
15.2 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.161$ |
$0$ |
$2.73460$ |
Character $\chi_{15}(2, \cdot)$ |
| 1-15-15.8-r0-0-0 |
$0.0696$ |
$0.0696$ |
$1$ |
$3 \cdot 5$ |
15.8 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.161$ |
$0$ |
$4.40670$ |
Character $\chi_{15}(8, \cdot)$ |
| 1-2e4-16.13-r0-0-0 |
$0.0743$ |
$0.0743$ |
$1$ |
$2^{4}$ |
16.13 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0625$ |
$0$ |
$3.77219$ |
Character $\chi_{16}(13, \cdot)$ |
| 1-2e4-16.5-r0-0-0 |
$0.0743$ |
$0.0743$ |
$1$ |
$2^{4}$ |
16.5 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0625$ |
$0$ |
$2.84244$ |
Character $\chi_{16}(5, \cdot)$ |
| 1-17-17.13-r0-0-0 |
$0.0789$ |
$0.0789$ |
$1$ |
$17$ |
17.13 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.144$ |
$0$ |
$3.38764$ |
Character $\chi_{17}(13, \cdot)$ |
| 1-17-17.15-r0-0-0 |
$0.0789$ |
$0.0789$ |
$1$ |
$17$ |
17.15 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.237$ |
$0$ |
$4.85147$ |
Character $\chi_{17}(15, \cdot)$ |
| 1-17-17.16-r0-0-0 |
$0.0789$ |
$0.0789$ |
$1$ |
$17$ |
17.16 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$3.72814$ |
Character $\chi_{17}(16, \cdot)$ |
| 1-17-17.2-r0-0-0 |
$0.0789$ |
$0.0789$ |
$1$ |
$17$ |
17.2 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.117$ |
$0$ |
$3.73234$ |
Character $\chi_{17}(2, \cdot)$ |
| 1-17-17.4-r0-0-0 |
$0.0789$ |
$0.0789$ |
$1$ |
$17$ |
17.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.144$ |
$0$ |
$1.89456$ |
Character $\chi_{17}(4, \cdot)$ |
| 1-17-17.8-r0-0-0 |
$0.0789$ |
$0.0789$ |
$1$ |
$17$ |
17.8 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.237$ |
$0$ |
$2.12217$ |
Character $\chi_{17}(8, \cdot)$ |
| 1-17-17.9-r0-0-0 |
$0.0789$ |
$0.0789$ |
$1$ |
$17$ |
17.9 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.117$ |
$0$ |
$3.03085$ |
Character $\chi_{17}(9, \cdot)$ |
| 1-19-19.11-r0-0-0 |
$0.0882$ |
$0.0882$ |
$1$ |
$19$ |
19.11 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.299$ |
$0$ |
$1.57320$ |
Character $\chi_{19}(11, \cdot)$ |
| 1-19-19.16-r0-0-0 |
$0.0882$ |
$0.0882$ |
$1$ |
$19$ |
19.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.113$ |
$0$ |
$3.63715$ |
Character $\chi_{19}(16, \cdot)$ |
| 1-19-19.17-r0-0-0 |
$0.0882$ |
$0.0882$ |
$1$ |
$19$ |
19.17 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0530$ |
$0$ |
$2.87454$ |
Character $\chi_{19}(17, \cdot)$ |
| 1-19-19.4-r0-0-0 |
$0.0882$ |
$0.0882$ |
$1$ |
$19$ |
19.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.132$ |
$0$ |
$4.27062$ |
Character $\chi_{19}(4, \cdot)$ |
| 1-19-19.5-r0-0-0 |
$0.0882$ |
$0.0882$ |
$1$ |
$19$ |
19.5 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.132$ |
$0$ |
$2.73327$ |
Character $\chi_{19}(5, \cdot)$ |
| 1-19-19.6-r0-0-0 |
$0.0882$ |
$0.0882$ |
$1$ |
$19$ |
19.6 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.113$ |
$0$ |
$3.09878$ |
Character $\chi_{19}(6, \cdot)$ |
| 1-19-19.7-r0-0-0 |
$0.0882$ |
$0.0882$ |
$1$ |
$19$ |
19.7 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.299$ |
$0$ |
$4.40883$ |
Character $\chi_{19}(7, \cdot)$ |
| 1-19-19.9-r0-0-0 |
$0.0882$ |
$0.0882$ |
$1$ |
$19$ |
19.9 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0530$ |
$0$ |
$2.13818$ |
Character $\chi_{19}(9, \cdot)$ |
| 1-20-20.3-r0-0-0 |
$0.0928$ |
$0.0928$ |
$1$ |
$2^{2} \cdot 5$ |
20.3 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0881$ |
$0$ |
$2.43970$ |
Character $\chi_{20}(3, \cdot)$ |
| 1-20-20.7-r0-0-0 |
$0.0928$ |
$0.0928$ |
$1$ |
$2^{2} \cdot 5$ |
20.7 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0881$ |
$0$ |
$3.53109$ |
Character $\chi_{20}(7, \cdot)$ |
| 1-21-21.17-r0-0-0 |
$0.0975$ |
$0.0975$ |
$1$ |
$3 \cdot 7$ |
21.17 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.146$ |
$0$ |
$2.71366$ |
Character $\chi_{21}(17, \cdot)$ |
| 1-21-21.20-r0-0-0 |
$0.0975$ |
$0.0975$ |
$1$ |
$3 \cdot 7$ |
21.20 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$2.31518$ |
Character $\chi_{21}(20, \cdot)$ |
| 1-21-21.5-r0-0-0 |
$0.0975$ |
$0.0975$ |
$1$ |
$3 \cdot 7$ |
21.5 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.146$ |
$0$ |
$3.93679$ |
Character $\chi_{21}(5, \cdot)$ |
| 1-23-23.12-r0-0-0 |
$0.106$ |
$0.106$ |
$1$ |
$23$ |
23.12 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.233$ |
$0$ |
$1.96977$ |
Character $\chi_{23}(12, \cdot)$ |
| 1-23-23.13-r0-0-0 |
$0.106$ |
$0.106$ |
$1$ |
$23$ |
23.13 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.248$ |
$0$ |
$4.12168$ |
Character $\chi_{23}(13, \cdot)$ |
| 1-23-23.16-r0-0-0 |
$0.106$ |
$0.106$ |
$1$ |
$23$ |
23.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.248$ |
$0$ |
$2.04476$ |
Character $\chi_{23}(16, \cdot)$ |
| 1-23-23.18-r0-0-0 |
$0.106$ |
$0.106$ |
$1$ |
$23$ |
23.18 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0263$ |
$0$ |
$3.18006$ |
Character $\chi_{23}(18, \cdot)$ |
| 1-23-23.2-r0-0-0 |
$0.106$ |
$0.106$ |
$1$ |
$23$ |
23.2 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.233$ |
$0$ |
$4.10757$ |
Character $\chi_{23}(2, \cdot)$ |
| 1-23-23.3-r0-0-0 |
$0.106$ |
$0.106$ |
$1$ |
$23$ |
23.3 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.187$ |
$0$ |
$1.27653$ |
Character $\chi_{23}(3, \cdot)$ |
| 1-23-23.4-r0-0-0 |
$0.106$ |
$0.106$ |
$1$ |
$23$ |
23.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0869$ |
$0$ |
$2.69506$ |
Character $\chi_{23}(4, \cdot)$ |
| 1-23-23.6-r0-0-0 |
$0.106$ |
$0.106$ |
$1$ |
$23$ |
23.6 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0869$ |
$0$ |
$2.47039$ |
Character $\chi_{23}(6, \cdot)$ |
| 1-23-23.8-r0-0-0 |
$0.106$ |
$0.106$ |
$1$ |
$23$ |
23.8 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.187$ |
$0$ |
$3.01197$ |
Character $\chi_{23}(8, \cdot)$ |
