| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-1003-1003.10-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.10 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.427$ |
$0$ |
$1.72307$ |
Character $\chi_{1003}(10, \cdot)$ |
| 1-1003-1003.100-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.100 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0229$ |
$0$ |
$0.238729$ |
Character $\chi_{1003}(100, \cdot)$ |
| 1-1003-1003.1000-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.1000 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.245$ |
$0$ |
$0.429162$ |
Character $\chi_{1003}(1000, \cdot)$ |
| 1-1003-1003.1001-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.1001 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.374$ |
$0$ |
$0.319584$ |
Character $\chi_{1003}(1001, \cdot)$ |
| 1-1003-1003.104-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.104 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.210$ |
$0$ |
$2.60505$ |
Character $\chi_{1003}(104, \cdot)$ |
| 1-1003-1003.109-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.109 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.377$ |
$0$ |
$0.603068$ |
Character $\chi_{1003}(109, \cdot)$ |
| 1-1003-1003.11-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.11 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.285$ |
$0$ |
$0.754436$ |
Character $\chi_{1003}(11, \cdot)$ |
| 1-1003-1003.110-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.110 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0114$ |
$0$ |
$0.242771$ |
Character $\chi_{1003}(110, \cdot)$ |
| 1-1003-1003.113-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.113 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.314$ |
$0$ |
$0.338987$ |
Character $\chi_{1003}(113, \cdot)$ |
| 1-1003-1003.114-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.114 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.197$ |
$0$ |
$1.33842$ |
Character $\chi_{1003}(114, \cdot)$ |
| 1-1003-1003.121-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.121 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.278$ |
$0$ |
$1.53319$ |
Character $\chi_{1003}(121, \cdot)$ |
| 1-1003-1003.123-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.123 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.297$ |
$0$ |
$0.585176$ |
Character $\chi_{1003}(123, \cdot)$ |
| 1-1003-1003.124-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.124 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.132$ |
$0$ |
$0.608630$ |
Character $\chi_{1003}(124, \cdot)$ |
| 1-1003-1003.126-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.126 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.105$ |
$0$ |
$0.954067$ |
Character $\chi_{1003}(126, \cdot)$ |
| 1-1003-1003.127-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.127 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0488$ |
$0$ |
$1.03647$ |
Character $\chi_{1003}(127, \cdot)$ |
| 1-1003-1003.129-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.129 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0335$ |
$0$ |
$1.10225$ |
Character $\chi_{1003}(129, \cdot)$ |
| 1-1003-1003.131-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.131 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0622$ |
$0$ |
$0.940205$ |
Character $\chi_{1003}(131, \cdot)$ |
| 1-1003-1003.134-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.134 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00596$ |
$0$ |
$0.538411$ |
Character $\chi_{1003}(134, \cdot)$ |
| 1-1003-1003.135-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.135 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.336$ |
$0$ |
$0.953107$ |
Character $\chi_{1003}(135, \cdot)$ |
| 1-1003-1003.138-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.138 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.456$ |
$0$ |
$1.50756$ |
Character $\chi_{1003}(138, \cdot)$ |
| 1-1003-1003.14-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.14 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.133$ |
$0$ |
$1.28167$ |
Character $\chi_{1003}(14, \cdot)$ |
| 1-1003-1003.140-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.140 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.379$ |
$0$ |
$1.97210$ |
Character $\chi_{1003}(140, \cdot)$ |
| 1-1003-1003.141-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.141 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.270$ |
$0$ |
$1.39482$ |
Character $\chi_{1003}(141, \cdot)$ |
| 1-1003-1003.142-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.142 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00821$ |
$0$ |
$1.07910$ |
Character $\chi_{1003}(142, \cdot)$ |
| 1-1003-1003.144-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.144 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.290$ |
$0$ |
$1.39568$ |
Character $\chi_{1003}(144, \cdot)$ |
| 1-1003-1003.145-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.145 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0757$ |
$0$ |
$0.658832$ |
Character $\chi_{1003}(145, \cdot)$ |
| 1-1003-1003.148-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.148 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0799$ |
$0$ |
$0.789659$ |
Character $\chi_{1003}(148, \cdot)$ |
| 1-1003-1003.15-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.15 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.364$ |
$0$ |
$0.273194$ |
Character $\chi_{1003}(15, \cdot)$ |
| 1-1003-1003.150-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.150 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.185$ |
$0$ |
$1.17304$ |
Character $\chi_{1003}(150, \cdot)$ |
| 1-1003-1003.156-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.156 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.248$ |
$0$ |
$0.427791$ |
Character $\chi_{1003}(156, \cdot)$ |
| 1-1003-1003.158-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.158 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.329$ |
$0$ |
$1.53003$ |
Character $\chi_{1003}(158, \cdot)$ |
| 1-1003-1003.16-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0180$ |
$0$ |
$1.51380$ |
Character $\chi_{1003}(16, \cdot)$ |
| 1-1003-1003.160-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.160 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0769$ |
$0$ |
$1.20206$ |
Character $\chi_{1003}(160, \cdot)$ |
| 1-1003-1003.165-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.165 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.433$ |
$0$ |
$0.239888$ |
Character $\chi_{1003}(165, \cdot)$ |
| 1-1003-1003.166-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.166 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.373$ |
$0$ |
$0.601606$ |
Character $\chi_{1003}(166, \cdot)$ |
| 1-1003-1003.169-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.169 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0234$ |
$0$ |
$0.901007$ |
Character $\chi_{1003}(169, \cdot)$ |
| 1-1003-1003.173-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.173 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.373$ |
$0$ |
$0.233787$ |
Character $\chi_{1003}(173, \cdot)$ |
| 1-1003-1003.176-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.176 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0296$ |
$0$ |
$1.24511$ |
Character $\chi_{1003}(176, \cdot)$ |
| 1-1003-1003.186-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.186 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0367$ |
$0$ |
$0.0400243$ |
Character $\chi_{1003}(186, \cdot)$ |
| 1-1003-1003.189-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.189 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.479$ |
$0$ |
$0.156512$ |
Character $\chi_{1003}(189, \cdot)$ |
| 1-1003-1003.19-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.19 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.274$ |
$0$ |
$0.627221$ |
Character $\chi_{1003}(19, \cdot)$ |
| 1-1003-1003.190-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.190 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.491$ |
$0$ |
$0.584588$ |
Character $\chi_{1003}(190, \cdot)$ |
| 1-1003-1003.196-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.196 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.00952$ |
$0$ |
$0.870043$ |
Character $\chi_{1003}(196, \cdot)$ |
| 1-1003-1003.201-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.201 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.109$ |
$0$ |
$0.591547$ |
Character $\chi_{1003}(201, \cdot)$ |
| 1-1003-1003.202-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.202 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.290$ |
$0$ |
$0.647251$ |
Character $\chi_{1003}(202, \cdot)$ |
| 1-1003-1003.203-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.203 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.278$ |
$0$ |
$1.62181$ |
Character $\chi_{1003}(203, \cdot)$ |
| 1-1003-1003.206-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.206 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.230$ |
$0$ |
$1.95857$ |
Character $\chi_{1003}(206, \cdot)$ |
| 1-1003-1003.207-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.207 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.348$ |
$0$ |
$1.91123$ |
Character $\chi_{1003}(207, \cdot)$ |
| 1-1003-1003.209-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.209 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.123$ |
$0$ |
$1.16567$ |
Character $\chi_{1003}(209, \cdot)$ |
| 1-1003-1003.21-r0-0-0 |
$4.65$ |
$4.65$ |
$1$ |
$17 \cdot 59$ |
1003.21 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.433$ |
$0$ |
$0.109815$ |
Character $\chi_{1003}(21, \cdot)$ |
