| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-1004-1004.1003-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.1003 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$0.941784$ |
Character $\chi_{1004}(1003, \cdot)$ |
| 1-1004-1004.107-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.107 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.214$ |
$0$ |
$0.924377$ |
Character $\chi_{1004}(107, \cdot)$ |
| 1-1004-1004.11-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.11 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.333$ |
$0$ |
$0.598134$ |
Character $\chi_{1004}(11, \cdot)$ |
| 1-1004-1004.111-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.111 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.385$ |
$0$ |
$0.699560$ |
Character $\chi_{1004}(111, \cdot)$ |
| 1-1004-1004.127-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.127 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.431$ |
$0$ |
$1.68878$ |
Character $\chi_{1004}(127, \cdot)$ |
| 1-1004-1004.139-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.139 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.427$ |
$0$ |
$0.439092$ |
Character $\chi_{1004}(139, \cdot)$ |
| 1-1004-1004.143-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.143 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.451$ |
$0$ |
$1.56760$ |
Character $\chi_{1004}(143, \cdot)$ |
| 1-1004-1004.151-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.151 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.195$ |
$0$ |
$0.936959$ |
Character $\chi_{1004}(151, \cdot)$ |
| 1-1004-1004.159-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.159 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00464$ |
$0$ |
$1.00580$ |
Character $\chi_{1004}(159, \cdot)$ |
| 1-1004-1004.163-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.163 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.352$ |
$0$ |
$1.70907$ |
Character $\chi_{1004}(163, \cdot)$ |
| 1-1004-1004.167-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.167 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0143$ |
$0$ |
$0.623296$ |
Character $\chi_{1004}(167, \cdot)$ |
| 1-1004-1004.171-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.171 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0326$ |
$0$ |
$1.06872$ |
Character $\chi_{1004}(171, \cdot)$ |
| 1-1004-1004.183-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.183 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.119$ |
$0$ |
$1.10698$ |
Character $\chi_{1004}(183, \cdot)$ |
| 1-1004-1004.187-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.187 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.315$ |
$0$ |
$1.70556$ |
Character $\chi_{1004}(187, \cdot)$ |
| 1-1004-1004.19-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.19 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.137$ |
$0$ |
$1.05678$ |
Character $\chi_{1004}(19, \cdot)$ |
| 1-1004-1004.191-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.191 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.327$ |
$0$ |
$0.377643$ |
Character $\chi_{1004}(191, \cdot)$ |
| 1-1004-1004.199-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.199 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.385$ |
$0$ |
$1.62594$ |
Character $\chi_{1004}(199, \cdot)$ |
| 1-1004-1004.203-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.203 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.119$ |
$0$ |
$1.08939$ |
Character $\chi_{1004}(203, \cdot)$ |
| 1-1004-1004.215-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.215 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.130$ |
$0$ |
$1.00342$ |
Character $\chi_{1004}(215, \cdot)$ |
| 1-1004-1004.223-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.223 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.348$ |
$0$ |
$0.198507$ |
Character $\chi_{1004}(223, \cdot)$ |
| 1-1004-1004.231-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.231 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.261$ |
$0$ |
$0.812962$ |
Character $\chi_{1004}(231, \cdot)$ |
| 1-1004-1004.235-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.235 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.312$ |
$0$ |
$0.606161$ |
Character $\chi_{1004}(235, \cdot)$ |
| 1-1004-1004.239-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.239 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.357$ |
$0$ |
$0.623767$ |
Character $\chi_{1004}(239, \cdot)$ |
| 1-1004-1004.247-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.247 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.166$ |
$0$ |
$0.903484$ |
Character $\chi_{1004}(247, \cdot)$ |
| 1-1004-1004.259-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.259 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0952$ |
$0$ |
$0.800622$ |
Character $\chi_{1004}(259, \cdot)$ |
| 1-1004-1004.275-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.275 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.362$ |
$0$ |
$0.654335$ |
Character $\chi_{1004}(275, \cdot)$ |
| 1-1004-1004.283-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.283 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.00544$ |
$0$ |
$1.16539$ |
Character $\chi_{1004}(283, \cdot)$ |
| 1-1004-1004.291-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.291 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0221$ |
$0$ |
$1.22724$ |
Character $\chi_{1004}(291, \cdot)$ |
| 1-1004-1004.295-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.295 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.214$ |
$0$ |
$1.62906$ |
Character $\chi_{1004}(295, \cdot)$ |
| 1-1004-1004.307-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.307 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.226$ |
$0$ |
$0.708012$ |
Character $\chi_{1004}(307, \cdot)$ |
| 1-1004-1004.323-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.323 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.157$ |
$0$ |
$0.515631$ |
Character $\chi_{1004}(323, \cdot)$ |
| 1-1004-1004.327-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.327 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.180$ |
$0$ |
$1.41353$ |
Character $\chi_{1004}(327, \cdot)$ |
| 1-1004-1004.347-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.347 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.184$ |
$0$ |
$0.720029$ |
Character $\chi_{1004}(347, \cdot)$ |
| 1-1004-1004.355-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.355 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.241$ |
$0$ |
$0.00979155$ |
Character $\chi_{1004}(355, \cdot)$ |
| 1-1004-1004.367-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.367 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.256$ |
$0$ |
$0.661973$ |
Character $\chi_{1004}(367, \cdot)$ |
| 1-1004-1004.371-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.371 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.437$ |
$0$ |
$0.338055$ |
Character $\chi_{1004}(371, \cdot)$ |
| 1-1004-1004.379-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.379 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.195$ |
$0$ |
$0.577670$ |
Character $\chi_{1004}(379, \cdot)$ |
| 1-1004-1004.383-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.383 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.256$ |
$0$ |
$1.32999$ |
Character $\chi_{1004}(383, \cdot)$ |
| 1-1004-1004.387-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.387 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.362$ |
$0$ |
$1.44793$ |
Character $\chi_{1004}(387, \cdot)$ |
| 1-1004-1004.399-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.399 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.160$ |
$0$ |
$1.10157$ |
Character $\chi_{1004}(399, \cdot)$ |
| 1-1004-1004.411-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.411 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0326$ |
$0$ |
$1.28286$ |
Character $\chi_{1004}(411, \cdot)$ |
| 1-1004-1004.419-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.419 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.431$ |
$0$ |
$0.0630432$ |
Character $\chi_{1004}(419, \cdot)$ |
| 1-1004-1004.423-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.423 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.197$ |
$0$ |
$0.674798$ |
Character $\chi_{1004}(423, \cdot)$ |
| 1-1004-1004.427-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.427 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.203$ |
$0$ |
$1.07373$ |
Character $\chi_{1004}(427, \cdot)$ |
| 1-1004-1004.43-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.43 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.326$ |
$0$ |
$0.970776$ |
Character $\chi_{1004}(43, \cdot)$ |
| 1-1004-1004.435-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.435 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0626$ |
$0$ |
$0.737527$ |
Character $\chi_{1004}(435, \cdot)$ |
| 1-1004-1004.439-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.439 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.166$ |
$0$ |
$0.332939$ |
Character $\chi_{1004}(439, \cdot)$ |
| 1-1004-1004.451-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.451 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.315$ |
$0$ |
$0.347317$ |
Character $\chi_{1004}(451, \cdot)$ |
| 1-1004-1004.463-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.463 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.160$ |
$0$ |
$1.47800$ |
Character $\chi_{1004}(463, \cdot)$ |
| 1-1004-1004.467-r0-0-0 |
$4.66$ |
$4.66$ |
$1$ |
$2^{2} \cdot 251$ |
1004.467 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.326$ |
$0$ |
$0.434477$ |
Character $\chi_{1004}(467, \cdot)$ |
