Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-1009-1009.10-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.10 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.395$ |
$0$ |
$0.492267$ |
Character $\chi_{1009}(10, \cdot)$ |
1-1009-1009.100-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.100 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.429$ |
$0$ |
$0.345625$ |
Character $\chi_{1009}(100, \cdot)$ |
1-1009-1009.1000-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.1000 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.429$ |
$0$ |
$0.128689$ |
Character $\chi_{1009}(1000, \cdot)$ |
1-1009-1009.1001-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.1001 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.111$ |
$0$ |
$1.33354$ |
Character $\chi_{1009}(1001, \cdot)$ |
1-1009-1009.1002-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.1002 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.424$ |
$0$ |
$0.286286$ |
Character $\chi_{1009}(1002, \cdot)$ |
1-1009-1009.1003-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.1003 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.437$ |
$0$ |
$1.92788$ |
Character $\chi_{1009}(1003, \cdot)$ |
1-1009-1009.1004-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.1004 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.211$ |
$0$ |
$1.51139$ |
Character $\chi_{1009}(1004, \cdot)$ |
1-1009-1009.1005-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.1005 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.334$ |
$0$ |
$1.34274$ |
Character $\chi_{1009}(1005, \cdot)$ |
1-1009-1009.1006-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.1006 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.207$ |
$0$ |
$0.914651$ |
Character $\chi_{1009}(1006, \cdot)$ |
1-1009-1009.1007-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.1007 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.217$ |
$0$ |
$0.837615$ |
Character $\chi_{1009}(1007, \cdot)$ |
1-1009-1009.1008-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.1008 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$1.71950$ |
Character $\chi_{1009}(1008, \cdot)$ |
1-1009-1009.101-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.101 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.395$ |
$0$ |
$1.84937$ |
Character $\chi_{1009}(101, \cdot)$ |
1-1009-1009.103-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.103 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.242$ |
$0$ |
$1.16112$ |
Character $\chi_{1009}(103, \cdot)$ |
1-1009-1009.105-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.105 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.467$ |
$0$ |
$0.943520$ |
Character $\chi_{1009}(105, \cdot)$ |
1-1009-1009.108-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.108 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0421$ |
$0$ |
$0.534459$ |
Character $\chi_{1009}(108, \cdot)$ |
1-1009-1009.109-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.109 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.384$ |
$0$ |
$0.615837$ |
Character $\chi_{1009}(109, \cdot)$ |
1-1009-1009.111-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.111 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.429$ |
$0$ |
$1.06811$ |
Character $\chi_{1009}(111, \cdot)$ |
1-1009-1009.112-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.112 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.429$ |
$0$ |
$1.21207$ |
Character $\chi_{1009}(112, \cdot)$ |
1-1009-1009.113-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.113 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.284$ |
$0$ |
$0.182183$ |
Character $\chi_{1009}(113, \cdot)$ |
1-1009-1009.116-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.116 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.466$ |
$0$ |
$1.27140$ |
Character $\chi_{1009}(116, \cdot)$ |
1-1009-1009.12-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.12 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.237$ |
$0$ |
$0.166322$ |
Character $\chi_{1009}(12, \cdot)$ |
1-1009-1009.120-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.120 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0942$ |
$0$ |
$1.56890$ |
Character $\chi_{1009}(120, \cdot)$ |
1-1009-1009.121-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.121 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00223$ |
$0$ |
$0.763926$ |
Character $\chi_{1009}(121, \cdot)$ |
1-1009-1009.123-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.123 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0352$ |
$0$ |
$0.767166$ |
Character $\chi_{1009}(123, \cdot)$ |
1-1009-1009.125-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.125 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.189$ |
$0$ |
$0.697403$ |
Character $\chi_{1009}(125, \cdot)$ |
1-1009-1009.126-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.126 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.111$ |
$0$ |
$1.28253$ |
Character $\chi_{1009}(126, \cdot)$ |
1-1009-1009.127-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.127 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.337$ |
$0$ |
$1.18533$ |
Character $\chi_{1009}(127, \cdot)$ |
1-1009-1009.128-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.128 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0645$ |
$0$ |
$0.496674$ |
Character $\chi_{1009}(128, \cdot)$ |
1-1009-1009.134-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.134 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.460$ |
$0$ |
$0.258479$ |
Character $\chi_{1009}(134, \cdot)$ |
1-1009-1009.135-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.135 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0541$ |
$0$ |
$1.15582$ |
Character $\chi_{1009}(135, \cdot)$ |
1-1009-1009.137-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.137 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.351$ |
$0$ |
$1.12458$ |
Character $\chi_{1009}(137, \cdot)$ |
1-1009-1009.139-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.139 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.345$ |
$0$ |
$1.10856$ |
Character $\chi_{1009}(139, \cdot)$ |
1-1009-1009.14-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.14 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.273$ |
$0$ |
$0.324049$ |
Character $\chi_{1009}(14, \cdot)$ |
1-1009-1009.140-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.140 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.150$ |
$0$ |
$2.28273$ |
Character $\chi_{1009}(140, \cdot)$ |
1-1009-1009.142-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.142 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.176$ |
$0$ |
$1.47473$ |
Character $\chi_{1009}(142, \cdot)$ |
1-1009-1009.143-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.143 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.208$ |
$0$ |
$0.419228$ |
Character $\chi_{1009}(143, \cdot)$ |
1-1009-1009.144-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.144 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.424$ |
$0$ |
$1.24805$ |
Character $\chi_{1009}(144, \cdot)$ |
1-1009-1009.145-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.145 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.407$ |
$0$ |
$0.280430$ |
Character $\chi_{1009}(145, \cdot)$ |
1-1009-1009.147-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.147 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.443$ |
$0$ |
$0.452949$ |
Character $\chi_{1009}(147, \cdot)$ |
1-1009-1009.148-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.148 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.268$ |
$0$ |
$2.01394$ |
Character $\chi_{1009}(148, \cdot)$ |
1-1009-1009.15-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.15 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.266$ |
$0$ |
$0.633488$ |
Character $\chi_{1009}(15, \cdot)$ |
1-1009-1009.150-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.150 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.230$ |
$0$ |
$0.159362$ |
Character $\chi_{1009}(150, \cdot)$ |
1-1009-1009.151-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.151 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.415$ |
$0$ |
$1.68198$ |
Character $\chi_{1009}(151, \cdot)$ |
1-1009-1009.157-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.157 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.447$ |
$0$ |
$0.490848$ |
Character $\chi_{1009}(157, \cdot)$ |
1-1009-1009.16-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.157$ |
$0$ |
$1.25531$ |
Character $\chi_{1009}(16, \cdot)$ |
1-1009-1009.160-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.160 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.453$ |
$0$ |
$0.656993$ |
Character $\chi_{1009}(160, \cdot)$ |
1-1009-1009.162-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.162 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.186$ |
$0$ |
$0.610339$ |
Character $\chi_{1009}(162, \cdot)$ |
1-1009-1009.164-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.164 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.249$ |
$0$ |
$0.484954$ |
Character $\chi_{1009}(164, \cdot)$ |
1-1009-1009.167-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.167 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.175$ |
$0$ |
$0.790522$ |
Character $\chi_{1009}(167, \cdot)$ |
1-1009-1009.168-r0-0-0 |
$4.68$ |
$4.68$ |
$1$ |
$1009$ |
1009.168 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.437$ |
$0$ |
$0.206829$ |
Character $\chi_{1009}(168, \cdot)$ |