| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-1001-1001.10-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.10 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.231$ |
$0$ |
$0.366219$ |
Character $\chi_{1001}(10, \cdot)$ |
| 1-1001-1001.1000-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.1000 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$1.19827$ |
Character $\chi_{1001}(1000, \cdot)$ |
| 1-1001-1001.101-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.101 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.385$ |
$0$ |
$1.21818$ |
Character $\chi_{1001}(101, \cdot)$ |
| 1-1001-1001.109-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.109 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.463$ |
$0$ |
$0.296552$ |
Character $\chi_{1001}(109, \cdot)$ |
| 1-1001-1001.114-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.114 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.121$ |
$0$ |
$0.760315$ |
Character $\chi_{1001}(114, \cdot)$ |
| 1-1001-1001.115-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.115 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0476$ |
$0$ |
$0.823064$ |
Character $\chi_{1001}(115, \cdot)$ |
| 1-1001-1001.123-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.123 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.330$ |
$0$ |
$1.67528$ |
Character $\chi_{1001}(123, \cdot)$ |
| 1-1001-1001.124-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.124 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.219$ |
$0$ |
$0.642077$ |
Character $\chi_{1001}(124, \cdot)$ |
| 1-1001-1001.125-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.125 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.406$ |
$0$ |
$1.30689$ |
Character $\chi_{1001}(125, \cdot)$ |
| 1-1001-1001.128-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.128 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.244$ |
$0$ |
$0.619853$ |
Character $\chi_{1001}(128, \cdot)$ |
| 1-1001-1001.129-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.129 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.385$ |
$0$ |
$1.51451$ |
Character $\chi_{1001}(129, \cdot)$ |
| 1-1001-1001.136-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.136 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.198$ |
$0$ |
$0.551576$ |
Character $\chi_{1001}(136, \cdot)$ |
| 1-1001-1001.139-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.139 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0295$ |
$0$ |
$0.747371$ |
Character $\chi_{1001}(139, \cdot)$ |
| 1-1001-1001.149-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.149 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.157$ |
$0$ |
$1.64983$ |
Character $\chi_{1001}(149, \cdot)$ |
| 1-1001-1001.151-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.151 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.295$ |
$0$ |
$0.946603$ |
Character $\chi_{1001}(151, \cdot)$ |
| 1-1001-1001.153-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.153 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0853$ |
$0$ |
$0.831741$ |
Character $\chi_{1001}(153, \cdot)$ |
| 1-1001-1001.16-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.187$ |
$0$ |
$0.481708$ |
Character $\chi_{1001}(16, \cdot)$ |
| 1-1001-1001.160-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.160 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.238$ |
$0$ |
$1.04272$ |
Character $\chi_{1001}(160, \cdot)$ |
| 1-1001-1001.17-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.17 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0923$ |
$0$ |
$1.13303$ |
Character $\chi_{1001}(17, \cdot)$ |
| 1-1001-1001.173-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.173 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.00706$ |
$0$ |
$1.06536$ |
Character $\chi_{1001}(173, \cdot)$ |
| 1-1001-1001.174-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.174 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0459$ |
$0$ |
$0.323110$ |
Character $\chi_{1001}(174, \cdot)$ |
| 1-1001-1001.178-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.178 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.490$ |
$0$ |
$1.82084$ |
Character $\chi_{1001}(178, \cdot)$ |
| 1-1001-1001.179-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.179 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0492$ |
$0$ |
$1.01022$ |
Character $\chi_{1001}(179, \cdot)$ |
| 1-1001-1001.18-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.18 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.224$ |
$0$ |
$0.697433$ |
Character $\chi_{1001}(18, \cdot)$ |
| 1-1001-1001.180-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.180 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.393$ |
$0$ |
$0.236970$ |
Character $\chi_{1001}(180, \cdot)$ |
| 1-1001-1001.184-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.184 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.183$ |
$0$ |
$1.50817$ |
Character $\chi_{1001}(184, \cdot)$ |
| 1-1001-1001.191-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.191 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.245$ |
$0$ |
$0.322728$ |
Character $\chi_{1001}(191, \cdot)$ |
| 1-1001-1001.193-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.193 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.149$ |
$0$ |
$1.40948$ |
Character $\chi_{1001}(193, \cdot)$ |
| 1-1001-1001.194-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.194 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.385$ |
$0$ |
$0.0946207$ |
Character $\chi_{1001}(194, \cdot)$ |
| 1-1001-1001.2-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.2 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.269$ |
$0$ |
$0.0686557$ |
Character $\chi_{1001}(2, \cdot)$ |
| 1-1001-1001.20-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.20 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.00527$ |
$0$ |
$1.07321$ |
Character $\chi_{1001}(20, \cdot)$ |
| 1-1001-1001.200-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.200 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.383$ |
$0$ |
$0.868977$ |
Character $\chi_{1001}(200, \cdot)$ |
| 1-1001-1001.201-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.201 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.313$ |
$0$ |
$1.04439$ |
Character $\chi_{1001}(201, \cdot)$ |
| 1-1001-1001.202-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.202 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0412$ |
$0$ |
$0.878757$ |
Character $\chi_{1001}(202, \cdot)$ |
| 1-1001-1001.207-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.207 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.397$ |
$0$ |
$1.10518$ |
Character $\chi_{1001}(207, \cdot)$ |
| 1-1001-1001.212-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.212 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.358$ |
$0$ |
$0.144879$ |
Character $\chi_{1001}(212, \cdot)$ |
| 1-1001-1001.213-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.213 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.145$ |
$0$ |
$0.365860$ |
Character $\chi_{1001}(213, \cdot)$ |
| 1-1001-1001.219-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.219 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.483$ |
$0$ |
$0.638684$ |
Character $\chi_{1001}(219, \cdot)$ |
| 1-1001-1001.223-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.223 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0412$ |
$0$ |
$0.859763$ |
Character $\chi_{1001}(223, \cdot)$ |
| 1-1001-1001.226-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.226 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.210$ |
$0$ |
$1.02204$ |
Character $\chi_{1001}(226, \cdot)$ |
| 1-1001-1001.228-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.228 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.338$ |
$0$ |
$0.192502$ |
Character $\chi_{1001}(228, \cdot)$ |
| 1-1001-1001.229-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.229 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.493$ |
$0$ |
$0.307436$ |
Character $\chi_{1001}(229, \cdot)$ |
| 1-1001-1001.230-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.230 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.209$ |
$0$ |
$2.24243$ |
Character $\chi_{1001}(230, \cdot)$ |
| 1-1001-1001.236-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.236 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.151$ |
$0$ |
$0.486971$ |
Character $\chi_{1001}(236, \cdot)$ |
| 1-1001-1001.237-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.237 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.362$ |
$0$ |
$1.49259$ |
Character $\chi_{1001}(237, \cdot)$ |
| 1-1001-1001.244-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.244 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.238$ |
$0$ |
$0.789329$ |
Character $\chi_{1001}(244, \cdot)$ |
| 1-1001-1001.249-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.249 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.141$ |
$0$ |
$1.13060$ |
Character $\chi_{1001}(249, \cdot)$ |
| 1-1001-1001.25-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.25 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0361$ |
$0$ |
$1.33541$ |
Character $\chi_{1001}(25, \cdot)$ |
| 1-1001-1001.250-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.250 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.116$ |
$0$ |
$0.558505$ |
Character $\chi_{1001}(250, \cdot)$ |
| 1-1001-1001.256-r0-0-0 |
$4.64$ |
$4.64$ |
$1$ |
$7 \cdot 11 \cdot 13$ |
1001.256 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.173$ |
$0$ |
$0.968365$ |
Character $\chi_{1001}(256, \cdot)$ |
