Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-712-712.101-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.101 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.391$ |
$0$ |
$0.0750427$ |
Character $\chi_{712}(101, \cdot)$ |
1-712-712.107-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.107 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.343$ |
$0$ |
$1.46165$ |
Character $\chi_{712}(107, \cdot)$ |
1-712-712.11-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.11 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0700$ |
$0$ |
$0.738416$ |
Character $\chi_{712}(11, \cdot)$ |
1-712-712.117-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.117 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.431$ |
$0$ |
$0.182548$ |
Character $\chi_{712}(117, \cdot)$ |
1-712-712.123-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.123 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.169$ |
$0$ |
$0.938063$ |
Character $\chi_{712}(123, \cdot)$ |
1-712-712.13-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.13 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.150$ |
$0$ |
$0.957723$ |
Character $\chi_{712}(13, \cdot)$ |
1-712-712.131-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.131 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.344$ |
$0$ |
$1.05624$ |
Character $\chi_{712}(131, \cdot)$ |
1-712-712.139-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.139 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.00363$ |
$0$ |
$0.912023$ |
Character $\chi_{712}(139, \cdot)$ |
1-712-712.141-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.141 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.391$ |
$0$ |
$1.67105$ |
Character $\chi_{712}(141, \cdot)$ |
1-712-712.149-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.149 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0651$ |
$0$ |
$0.681127$ |
Character $\chi_{712}(149, \cdot)$ |
1-712-712.165-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.165 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.212$ |
$0$ |
$0.783530$ |
Character $\chi_{712}(165, \cdot)$ |
1-712-712.181-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.181 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.311$ |
$0$ |
$0.200831$ |
Character $\chi_{712}(181, \cdot)$ |
1-712-712.187-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.187 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.115$ |
$0$ |
$1.18109$ |
Character $\chi_{712}(187, \cdot)$ |
1-712-712.195-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.195 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.407$ |
$0$ |
$1.63130$ |
Character $\chi_{712}(195, \cdot)$ |
1-712-712.197-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.197 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.382$ |
$0$ |
$0.182180$ |
Character $\chi_{712}(197, \cdot)$ |
1-712-712.203-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.203 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0342$ |
$0$ |
$0.718744$ |
Character $\chi_{712}(203, \cdot)$ |
1-712-712.205-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.205 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.408$ |
$0$ |
$0.279367$ |
Character $\chi_{712}(205, \cdot)$ |
1-712-712.213-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.213 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.431$ |
$0$ |
$1.14276$ |
Character $\chi_{712}(213, \cdot)$ |
1-712-712.221-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.221 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.247$ |
$0$ |
$0.759838$ |
Character $\chi_{712}(221, \cdot)$ |
1-712-712.227-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.227 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.225$ |
$0$ |
$0.886549$ |
Character $\chi_{712}(227, \cdot)$ |
1-712-712.229-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.229 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.389$ |
$0$ |
$1.73735$ |
Character $\chi_{712}(229, \cdot)$ |
1-712-712.235-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.235 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0342$ |
$0$ |
$0.404373$ |
Character $\chi_{712}(235, \cdot)$ |
1-712-712.237-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.237 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.436$ |
$0$ |
$0.210143$ |
Character $\chi_{712}(237, \cdot)$ |
1-712-712.251-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.251 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.00363$ |
$0$ |
$0.483823$ |
Character $\chi_{712}(251, \cdot)$ |
1-712-712.253-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.253 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.382$ |
$0$ |
$1.29778$ |
Character $\chi_{712}(253, \cdot)$ |
1-712-712.259-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.259 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0700$ |
$0$ |
$0.956156$ |
Character $\chi_{712}(259, \cdot)$ |
1-712-712.261-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.261 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.468$ |
$0$ |
$1.72140$ |
Character $\chi_{712}(261, \cdot)$ |
1-712-712.275-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.275 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.150$ |
$0$ |
$0.858225$ |
Character $\chi_{712}(275, \cdot)$ |
1-712-712.283-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.283 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.426$ |
$0$ |
$1.50303$ |
Character $\chi_{712}(283, \cdot)$ |
1-712-712.29-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.29 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.247$ |
$0$ |
$0.892122$ |
Character $\chi_{712}(29, \cdot)$ |
1-712-712.293-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.293 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.451$ |
$0$ |
$0.393840$ |
Character $\chi_{712}(293, \cdot)$ |
1-712-712.299-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.299 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.324$ |
$0$ |
$1.66020$ |
Character $\chi_{712}(299, \cdot)$ |
1-712-712.307-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.307 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.266$ |
$0$ |
$0.775028$ |
Character $\chi_{712}(307, \cdot)$ |
1-712-712.325-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.325 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.363$ |
$0$ |
$1.27512$ |
Character $\chi_{712}(325, \cdot)$ |
1-712-712.331-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.331 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.324$ |
$0$ |
$0.383852$ |
Character $\chi_{712}(331, \cdot)$ |
1-712-712.333-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.333 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.363$ |
$0$ |
$0.702827$ |
Character $\chi_{712}(333, \cdot)$ |
1-712-712.339-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.339 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.311$ |
$0$ |
$0.761382$ |
Character $\chi_{712}(339, \cdot)$ |
1-712-712.341-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.341 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.468$ |
$0$ |
$0.266796$ |
Character $\chi_{712}(341, \cdot)$ |
1-712-712.347-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.347 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.226$ |
$0$ |
$1.13864$ |
Character $\chi_{712}(347, \cdot)$ |
1-712-712.349-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.349 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.119$ |
$0$ |
$1.08904$ |
Character $\chi_{712}(349, \cdot)$ |
1-712-712.355-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.355 |
$1$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$0.782409$ |
Character $\chi_{712}(355, \cdot)$ |
1-712-712.37-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.37 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0604$ |
$0$ |
$0.814264$ |
Character $\chi_{712}(37, \cdot)$ |
1-712-712.389-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.389 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.408$ |
$0$ |
$1.12274$ |
Character $\chi_{712}(389, \cdot)$ |
1-712-712.395-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.395 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.426$ |
$0$ |
$0.0400240$ |
Character $\chi_{712}(395, \cdot)$ |
1-712-712.397-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.397 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.212$ |
$0$ |
$0.345012$ |
Character $\chi_{712}(397, \cdot)$ |
1-712-712.403-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.403 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0230$ |
$0$ |
$0.337966$ |
Character $\chi_{712}(403, \cdot)$ |
1-712-712.411-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.411 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.169$ |
$0$ |
$0.709394$ |
Character $\chi_{712}(411, \cdot)$ |
1-712-712.421-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.421 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.425$ |
$0$ |
$0.0605191$ |
Character $\chi_{712}(421, \cdot)$ |
1-712-712.427-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.427 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0765$ |
$0$ |
$0.855828$ |
Character $\chi_{712}(427, \cdot)$ |
1-712-712.435-r1-0-0 |
$76.5$ |
$76.5$ |
$1$ |
$2^{3} \cdot 89$ |
712.435 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.226$ |
$0$ |
$0.417276$ |
Character $\chi_{712}(435, \cdot)$ |