| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-31-31.10-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.10 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.333$ |
$0$ |
$3.95325$ |
Character $\chi_{31}(10, \cdot)$ |
| 1-31-31.14-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.14 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.353$ |
$0$ |
$1.10014$ |
Character $\chi_{31}(14, \cdot)$ |
| 1-31-31.16-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0976$ |
$0$ |
$2.58899$ |
Character $\chi_{31}(16, \cdot)$ |
| 1-31-31.18-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.18 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.225$ |
$0$ |
$2.26173$ |
Character $\chi_{31}(18, \cdot)$ |
| 1-31-31.19-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.19 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.225$ |
$0$ |
$3.85538$ |
Character $\chi_{31}(19, \cdot)$ |
| 1-31-31.2-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.2 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0976$ |
$0$ |
$2.75999$ |
Character $\chi_{31}(2, \cdot)$ |
| 1-31-31.20-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.20 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.353$ |
$0$ |
$3.41870$ |
Character $\chi_{31}(20, \cdot)$ |
| 1-31-31.25-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.25 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0638$ |
$0$ |
$3.29454$ |
Character $\chi_{31}(25, \cdot)$ |
| 1-31-31.28-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.28 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.333$ |
$0$ |
$1.32588$ |
Character $\chi_{31}(28, \cdot)$ |
| 1-31-31.4-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0560$ |
$0$ |
$1.46574$ |
Character $\chi_{31}(4, \cdot)$ |
| 1-31-31.5-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.5 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0638$ |
$0$ |
$2.59082$ |
Character $\chi_{31}(5, \cdot)$ |
| 1-31-31.7-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.7 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.000353$ |
$0$ |
$1.98829$ |
Character $\chi_{31}(7, \cdot)$ |
| 1-31-31.8-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.8 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0560$ |
$0$ |
$2.23073$ |
Character $\chi_{31}(8, \cdot)$ |
| 1-31-31.9-r0-0-0 |
$0.143$ |
$0.143$ |
$1$ |
$31$ |
31.9 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.000353$ |
$0$ |
$2.53375$ |
Character $\chi_{31}(9, \cdot)$ |
| 1-31-31.11-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.11 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.486$ |
$0$ |
$0.00694396$ |
Character $\chi_{31}(11, \cdot)$ |
| 1-31-31.12-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.12 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.271$ |
$0$ |
$0.430940$ |
Character $\chi_{31}(12, \cdot)$ |
| 1-31-31.13-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.13 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.271$ |
$0$ |
$2.83173$ |
Character $\chi_{31}(13, \cdot)$ |
| 1-31-31.15-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.15 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.446$ |
$0$ |
$1.01173$ |
Character $\chi_{31}(15, \cdot)$ |
| 1-31-31.17-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.17 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.486$ |
$0$ |
$3.04426$ |
Character $\chi_{31}(17, \cdot)$ |
| 1-31-31.21-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.21 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.267$ |
$0$ |
$2.91657$ |
Character $\chi_{31}(21, \cdot)$ |
| 1-31-31.22-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.22 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0254$ |
$0$ |
$1.42724$ |
Character $\chi_{31}(22, \cdot)$ |
| 1-31-31.23-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.23 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.158$ |
$0$ |
$1.63373$ |
Character $\chi_{31}(23, \cdot)$ |
| 1-31-31.24-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.24 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0254$ |
$0$ |
$0.867340$ |
Character $\chi_{31}(24, \cdot)$ |
| 1-31-31.26-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.26 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.127$ |
$0$ |
$3.14900$ |
Character $\chi_{31}(26, \cdot)$ |
| 1-31-31.27-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.27 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.158$ |
$0$ |
$1.95751$ |
Character $\chi_{31}(27, \cdot)$ |
| 1-31-31.29-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.29 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.446$ |
$0$ |
$3.57398$ |
Character $\chi_{31}(29, \cdot)$ |
| 1-31-31.3-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.3 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.267$ |
$0$ |
$1.50350$ |
Character $\chi_{31}(3, \cdot)$ |
| 1-31-31.30-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.30 |
$1$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$2.03498$ |
Character $\chi_{31}(30, \cdot)$ |
| 1-31-31.6-r1-0-0 |
$3.33$ |
$3.33$ |
$1$ |
$31$ |
31.6 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.127$ |
$0$ |
$1.93601$ |
Character $\chi_{31}(6, \cdot)$ |
