| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-41-41.10-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.10 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.205$ |
$0$ |
$3.27335$ |
Character $\chi_{41}(10, \cdot)$ |
| 1-41-41.16-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0156$ |
$0$ |
$2.44639$ |
Character $\chi_{41}(16, \cdot)$ |
| 1-41-41.18-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.18 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0156$ |
$0$ |
$1.86555$ |
Character $\chi_{41}(18, \cdot)$ |
| 1-41-41.2-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.2 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.201$ |
$0$ |
$2.12833$ |
Character $\chi_{41}(2, \cdot)$ |
| 1-41-41.20-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.20 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00870$ |
$0$ |
$2.38960$ |
Character $\chi_{41}(20, \cdot)$ |
| 1-41-41.21-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.21 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.201$ |
$0$ |
$3.61235$ |
Character $\chi_{41}(21, \cdot)$ |
| 1-41-41.23-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.23 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0207$ |
$0$ |
$1.28671$ |
Character $\chi_{41}(23, \cdot)$ |
| 1-41-41.25-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.25 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0207$ |
$0$ |
$1.83604$ |
Character $\chi_{41}(25, \cdot)$ |
| 1-41-41.31-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.31 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.410$ |
$0$ |
$3.72838$ |
Character $\chi_{41}(31, \cdot)$ |
| 1-41-41.32-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.32 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.303$ |
$0$ |
$0.913119$ |
Character $\chi_{41}(32, \cdot)$ |
| 1-41-41.33-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.33 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.363$ |
$0$ |
$1.34857$ |
Character $\chi_{41}(33, \cdot)$ |
| 1-41-41.36-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.36 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0569$ |
$0$ |
$1.89908$ |
Character $\chi_{41}(36, \cdot)$ |
| 1-41-41.37-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.37 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.205$ |
$0$ |
$2.10072$ |
Character $\chi_{41}(37, \cdot)$ |
| 1-41-41.39-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.39 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.00870$ |
$0$ |
$2.83549$ |
Character $\chi_{41}(39, \cdot)$ |
| 1-41-41.4-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.410$ |
$0$ |
$0.895285$ |
Character $\chi_{41}(4, \cdot)$ |
| 1-41-41.40-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.40 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$2.47534$ |
Character $\chi_{41}(40, \cdot)$ |
| 1-41-41.5-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.5 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.363$ |
$0$ |
$3.35867$ |
Character $\chi_{41}(5, \cdot)$ |
| 1-41-41.8-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.8 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0569$ |
$0$ |
$2.09598$ |
Character $\chi_{41}(8, \cdot)$ |
| 1-41-41.9-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.9 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.303$ |
$0$ |
$2.80632$ |
Character $\chi_{41}(9, \cdot)$ |
| 1-41-41.11-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.11 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0435$ |
$0$ |
$2.05964$ |
Character $\chi_{41}(11, \cdot)$ |
| 1-41-41.12-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.12 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0889$ |
$0$ |
$1.80188$ |
Character $\chi_{41}(12, \cdot)$ |
| 1-41-41.13-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.13 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.277$ |
$0$ |
$2.35236$ |
Character $\chi_{41}(13, \cdot)$ |
| 1-41-41.14-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.14 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.238$ |
$0$ |
$0.0854286$ |
Character $\chi_{41}(14, \cdot)$ |
| 1-41-41.15-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.15 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0435$ |
$0$ |
$2.36490$ |
Character $\chi_{41}(15, \cdot)$ |
| 1-41-41.17-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.17 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.486$ |
$0$ |
$2.41603$ |
Character $\chi_{41}(17, \cdot)$ |
| 1-41-41.19-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.19 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.277$ |
$0$ |
$1.05737$ |
Character $\chi_{41}(19, \cdot)$ |
| 1-41-41.22-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.22 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.286$ |
$0$ |
$1.66914$ |
Character $\chi_{41}(22, \cdot)$ |
| 1-41-41.24-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.24 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0889$ |
$0$ |
$1.26894$ |
Character $\chi_{41}(24, \cdot)$ |
| 1-41-41.26-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.26 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.365$ |
$0$ |
$3.29483$ |
Character $\chi_{41}(26, \cdot)$ |
| 1-41-41.27-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.27 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0656$ |
$0$ |
$1.15549$ |
Character $\chi_{41}(27, \cdot)$ |
| 1-41-41.28-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.28 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.286$ |
$0$ |
$2.95909$ |
Character $\chi_{41}(28, \cdot)$ |
| 1-41-41.29-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.29 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.486$ |
$0$ |
$0.469767$ |
Character $\chi_{41}(29, \cdot)$ |
| 1-41-41.3-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.3 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.238$ |
$0$ |
$2.09742$ |
Character $\chi_{41}(3, \cdot)$ |
| 1-41-41.30-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.30 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.365$ |
$0$ |
$0.874179$ |
Character $\chi_{41}(30, \cdot)$ |
| 1-41-41.34-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.34 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.409$ |
$0$ |
$3.19950$ |
Character $\chi_{41}(34, \cdot)$ |
| 1-41-41.35-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.35 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.409$ |
$0$ |
$0.293532$ |
Character $\chi_{41}(35, \cdot)$ |
| 1-41-41.38-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.38 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0656$ |
$0$ |
$2.32794$ |
Character $\chi_{41}(38, \cdot)$ |
| 1-41-41.6-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.6 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.152$ |
$0$ |
$0.868324$ |
Character $\chi_{41}(6, \cdot)$ |
| 1-41-41.7-r1-0-0 |
$4.40$ |
$4.40$ |
$1$ |
$41$ |
41.7 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.152$ |
$0$ |
$1.24944$ |
Character $\chi_{41}(7, \cdot)$ |
