Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-475-475.102-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.102 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0861$ |
$0$ |
$0.707178$ |
Character $\chi_{475}(102, \cdot)$ |
1-475-475.109-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.109 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0658$ |
$0$ |
$1.20613$ |
Character $\chi_{475}(109, \cdot)$ |
1-475-475.112-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.112 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.210$ |
$0$ |
$1.06809$ |
Character $\chi_{475}(112, \cdot)$ |
1-475-475.116-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.116 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.373$ |
$0$ |
$1.59518$ |
Character $\chi_{475}(116, \cdot)$ |
1-475-475.123-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.123 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.210$ |
$0$ |
$0.614152$ |
Character $\chi_{475}(123, \cdot)$ |
1-475-475.129-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.129 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.154$ |
$0$ |
$1.26721$ |
Character $\chi_{475}(129, \cdot)$ |
1-475-475.136-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.136 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.379$ |
$0$ |
$0.178358$ |
Character $\chi_{475}(136, \cdot)$ |
1-475-475.137-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.137 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0682$ |
$0$ |
$0.967566$ |
Character $\chi_{475}(137, \cdot)$ |
1-475-475.138-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.138 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.191$ |
$0$ |
$1.37650$ |
Character $\chi_{475}(138, \cdot)$ |
1-475-475.14-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.14 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.305$ |
$0$ |
$1.28180$ |
Character $\chi_{475}(14, \cdot)$ |
1-475-475.141-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.141 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.478$ |
$0$ |
$1.22634$ |
Character $\chi_{475}(141, \cdot)$ |
1-475-475.142-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.142 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0791$ |
$0$ |
$0.634454$ |
Character $\chi_{475}(142, \cdot)$ |
1-475-475.146-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.146 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.339$ |
$0$ |
$0.536450$ |
Character $\chi_{475}(146, \cdot)$ |
1-475-475.154-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.154 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.413$ |
$0$ |
$1.35310$ |
Character $\chi_{475}(154, \cdot)$ |
1-475-475.158-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.158 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.314$ |
$0$ |
$0.398179$ |
Character $\chi_{475}(158, \cdot)$ |
1-475-475.163-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.163 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0861$ |
$0$ |
$0.488818$ |
Character $\chi_{475}(163, \cdot)$ |
1-475-475.164-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.164 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0210$ |
$0$ |
$0.787022$ |
Character $\chi_{475}(164, \cdot)$ |
1-475-475.166-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.166 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.434$ |
$0$ |
$0.119908$ |
Character $\chi_{475}(166, \cdot)$ |
1-475-475.17-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.17 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.259$ |
$0$ |
$0.265159$ |
Character $\chi_{475}(17, \cdot)$ |
1-475-475.177-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.177 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.104$ |
$0$ |
$0.939223$ |
Character $\chi_{475}(177, \cdot)$ |
1-475-475.178-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.178 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0561$ |
$0$ |
$0.948773$ |
Character $\chi_{475}(178, \cdot)$ |
1-475-475.179-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.179 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.438$ |
$0$ |
$1.05283$ |
Character $\chi_{475}(179, \cdot)$ |
1-475-475.181-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.181 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.413$ |
$0$ |
$1.12105$ |
Character $\chi_{475}(181, \cdot)$ |
1-475-475.184-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.184 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.120$ |
$0$ |
$0.735382$ |
Character $\chi_{475}(184, \cdot)$ |
1-475-475.186-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.186 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.434$ |
$0$ |
$1.02961$ |
Character $\chi_{475}(186, \cdot)$ |
1-475-475.187-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.187 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.395$ |
$0$ |
$0.423130$ |
Character $\chi_{475}(187, \cdot)$ |
1-475-475.188-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.188 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.289$ |
$0$ |
$0.674142$ |
Character $\chi_{475}(188, \cdot)$ |
1-475-475.189-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.189 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.380$ |
$0$ |
$0.515958$ |
Character $\chi_{475}(189, \cdot)$ |
1-475-475.197-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.197 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0561$ |
$0$ |
$0.195659$ |
Character $\chi_{475}(197, \cdot)$ |
1-475-475.204-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.204 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.474$ |
$0$ |
$0.335213$ |
Character $\chi_{475}(204, \cdot)$ |
1-475-475.21-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.21 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.413$ |
$0$ |
$0.349551$ |
Character $\chi_{475}(21, \cdot)$ |
1-475-475.211-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.211 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.133$ |
$0$ |
$0.492263$ |
Character $\chi_{475}(211, \cdot)$ |
1-475-475.213-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.213 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.431$ |
$0$ |
$2.40098$ |
Character $\chi_{475}(213, \cdot)$ |
1-475-475.219-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.219 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.413$ |
$0$ |
$0.317105$ |
Character $\chi_{475}(219, \cdot)$ |
1-475-475.221-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.221 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.241$ |
$0$ |
$1.18860$ |
Character $\chi_{475}(221, \cdot)$ |
1-475-475.23-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.23 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.308$ |
$0$ |
$1.12449$ |
Character $\chi_{475}(23, \cdot)$ |
1-475-475.231-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.231 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.339$ |
$0$ |
$2.18893$ |
Character $\chi_{475}(231, \cdot)$ |
1-475-475.233-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.233 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.221$ |
$0$ |
$1.48284$ |
Character $\chi_{475}(233, \cdot)$ |
1-475-475.236-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.236 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.281$ |
$0$ |
$1.04500$ |
Character $\chi_{475}(236, \cdot)$ |
1-475-475.237-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.237 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.450$ |
$0$ |
$0.720546$ |
Character $\chi_{475}(237, \cdot)$ |
1-475-475.241-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.241 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.379$ |
$0$ |
$1.30321$ |
Character $\chi_{475}(241, \cdot)$ |
1-475-475.246-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.246 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.160$ |
$0$ |
$0.564732$ |
Character $\chi_{475}(246, \cdot)$ |
1-475-475.252-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.252 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.431$ |
$0$ |
$0.290344$ |
Character $\chi_{475}(252, \cdot)$ |
1-475-475.253-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.253 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.134$ |
$0$ |
$0.158265$ |
Character $\chi_{475}(253, \cdot)$ |
1-475-475.258-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.258 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0561$ |
$0$ |
$0.972033$ |
Character $\chi_{475}(258, \cdot)$ |
1-475-475.259-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.259 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.218$ |
$0$ |
$0.340349$ |
Character $\chi_{475}(259, \cdot)$ |
1-475-475.261-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.261 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.194$ |
$0$ |
$0.00727526$ |
Character $\chi_{475}(261, \cdot)$ |
1-475-475.263-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.263 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.104$ |
$0$ |
$0.630928$ |
Character $\chi_{475}(263, \cdot)$ |
1-475-475.269-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.269 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.339$ |
$0$ |
$0.719579$ |
Character $\chi_{475}(269, \cdot)$ |
1-475-475.272-r1-0-0 |
$51.0$ |
$51.0$ |
$1$ |
$5^{2} \cdot 19$ |
475.272 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.134$ |
$0$ |
$0.942244$ |
Character $\chi_{475}(272, \cdot)$ |