Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-1007-1007.100-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.100 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.282$ |
$0$ |
$1.03994$ |
Character $\chi_{1007}(100, \cdot)$ |
1-1007-1007.1002-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.1002 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.229$ |
$0$ |
$1.17877$ |
Character $\chi_{1007}(1002, \cdot)$ |
1-1007-1007.102-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.102 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.111$ |
$0$ |
$0.910708$ |
Character $\chi_{1007}(102, \cdot)$ |
1-1007-1007.103-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.103 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0664$ |
$0$ |
$0.713792$ |
Character $\chi_{1007}(103, \cdot)$ |
1-1007-1007.108-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.108 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0583$ |
$0$ |
$0.835669$ |
Character $\chi_{1007}(108, \cdot)$ |
1-1007-1007.109-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.109 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.151$ |
$0$ |
$0.0850967$ |
Character $\chi_{1007}(109, \cdot)$ |
1-1007-1007.11-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.11 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.438$ |
$0$ |
$0.442336$ |
Character $\chi_{1007}(11, \cdot)$ |
1-1007-1007.112-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.112 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0437$ |
$0$ |
$1.64260$ |
Character $\chi_{1007}(112, \cdot)$ |
1-1007-1007.119-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.119 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.499$ |
$0$ |
$1.11405$ |
Character $\chi_{1007}(119, \cdot)$ |
1-1007-1007.12-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.12 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.370$ |
$0$ |
$1.39224$ |
Character $\chi_{1007}(12, \cdot)$ |
1-1007-1007.121-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.121 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.376$ |
$0$ |
$2.07285$ |
Character $\chi_{1007}(121, \cdot)$ |
1-1007-1007.123-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.123 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.284$ |
$0$ |
$1.69881$ |
Character $\chi_{1007}(123, \cdot)$ |
1-1007-1007.124-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.124 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.211$ |
$0$ |
$0.936662$ |
Character $\chi_{1007}(124, \cdot)$ |
1-1007-1007.126-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.126 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.255$ |
$0$ |
$0.281709$ |
Character $\chi_{1007}(126, \cdot)$ |
1-1007-1007.127-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.127 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.415$ |
$0$ |
$0.557097$ |
Character $\chi_{1007}(127, \cdot)$ |
1-1007-1007.128-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.128 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.484$ |
$0$ |
$1.22827$ |
Character $\chi_{1007}(128, \cdot)$ |
1-1007-1007.129-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.129 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00298$ |
$0$ |
$0.915456$ |
Character $\chi_{1007}(129, \cdot)$ |
1-1007-1007.130-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.130 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0355$ |
$0$ |
$0.845150$ |
Character $\chi_{1007}(130, \cdot)$ |
1-1007-1007.131-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.131 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.284$ |
$0$ |
$0.488958$ |
Character $\chi_{1007}(131, \cdot)$ |
1-1007-1007.132-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.132 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.414$ |
$0$ |
$0.759412$ |
Character $\chi_{1007}(132, \cdot)$ |
1-1007-1007.136-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.136 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.188$ |
$0$ |
$0.873447$ |
Character $\chi_{1007}(136, \cdot)$ |
1-1007-1007.14-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.14 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.367$ |
$0$ |
$0.692625$ |
Character $\chi_{1007}(14, \cdot)$ |
1-1007-1007.141-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.141 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.264$ |
$0$ |
$1.15069$ |
Character $\chi_{1007}(141, \cdot)$ |
1-1007-1007.142-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.142 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0202$ |
$0$ |
$0.393255$ |
Character $\chi_{1007}(142, \cdot)$ |
1-1007-1007.144-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.144 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.269$ |
$0$ |
$1.36115$ |
Character $\chi_{1007}(144, \cdot)$ |
1-1007-1007.145-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.145 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.417$ |
$0$ |
$1.45436$ |
Character $\chi_{1007}(145, \cdot)$ |
1-1007-1007.147-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.147 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.446$ |
$0$ |
$0.172541$ |
Character $\chi_{1007}(147, \cdot)$ |
1-1007-1007.149-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.149 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.351$ |
$0$ |
$1.72439$ |
Character $\chi_{1007}(149, \cdot)$ |
1-1007-1007.150-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.150 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0921$ |
$0$ |
$1.30684$ |
Character $\chi_{1007}(150, \cdot)$ |
1-1007-1007.151-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.151 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.143$ |
$0$ |
$1.61548$ |
Character $\chi_{1007}(151, \cdot)$ |
1-1007-1007.154-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.154 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.168$ |
$0$ |
$0.826856$ |
Character $\chi_{1007}(154, \cdot)$ |
1-1007-1007.158-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.158 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0579$ |
$0$ |
$0.702327$ |
Character $\chi_{1007}(158, \cdot)$ |
1-1007-1007.16-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.374$ |
$0$ |
$1.65394$ |
Character $\chi_{1007}(16, \cdot)$ |
1-1007-1007.162-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.162 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0523$ |
$0$ |
$0.615532$ |
Character $\chi_{1007}(162, \cdot)$ |
1-1007-1007.163-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.163 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.379$ |
$0$ |
$1.20027$ |
Character $\chi_{1007}(163, \cdot)$ |
1-1007-1007.164-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.164 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.392$ |
$0$ |
$0.0904429$ |
Character $\chi_{1007}(164, \cdot)$ |
1-1007-1007.167-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.167 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.126$ |
$0$ |
$1.03660$ |
Character $\chi_{1007}(167, \cdot)$ |
1-1007-1007.168-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.168 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.321$ |
$0$ |
$0.670548$ |
Character $\chi_{1007}(168, \cdot)$ |
1-1007-1007.169-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.169 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0963$ |
$0$ |
$1.11539$ |
Character $\chi_{1007}(169, \cdot)$ |
1-1007-1007.17-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.17 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.386$ |
$0$ |
$0.589817$ |
Character $\chi_{1007}(17, \cdot)$ |
1-1007-1007.173-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.173 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.307$ |
$0$ |
$1.48216$ |
Character $\chi_{1007}(173, \cdot)$ |
1-1007-1007.175-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.175 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.422$ |
$0$ |
$1.16567$ |
Character $\chi_{1007}(175, \cdot)$ |
1-1007-1007.176-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.176 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0942$ |
$0$ |
$1.38936$ |
Character $\chi_{1007}(176, \cdot)$ |
1-1007-1007.179-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.179 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.453$ |
$0$ |
$2.00562$ |
Character $\chi_{1007}(179, \cdot)$ |
1-1007-1007.18-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.18 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.131$ |
$0$ |
$0.472582$ |
Character $\chi_{1007}(18, \cdot)$ |
1-1007-1007.181-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.181 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.385$ |
$0$ |
$1.30915$ |
Character $\chi_{1007}(181, \cdot)$ |
1-1007-1007.185-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.185 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.395$ |
$0$ |
$0.453303$ |
Character $\chi_{1007}(185, \cdot)$ |
1-1007-1007.186-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.186 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0890$ |
$0$ |
$1.00597$ |
Character $\chi_{1007}(186, \cdot)$ |
1-1007-1007.187-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.187 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.414$ |
$0$ |
$1.59920$ |
Character $\chi_{1007}(187, \cdot)$ |
1-1007-1007.188-r0-0-0 |
$4.67$ |
$4.67$ |
$1$ |
$19 \cdot 53$ |
1007.188 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.240$ |
$0$ |
$0.137825$ |
Character $\chi_{1007}(188, \cdot)$ |