Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-171-171.106-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.106 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0772$ |
$0$ |
$0.799099$ |
Dirichlet character \(\chi_{171} (106, \cdot) \) |
1-171-171.110-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.110 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.286$ |
$0$ |
$2.07851$ |
Dirichlet character \(\chi_{171} (110, \cdot) \) |
1-171-171.112-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.112 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.391$ |
$0$ |
$0.787192$ |
Dirichlet character \(\chi_{171} (112, \cdot) \) |
1-171-171.113-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.113 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.361$ |
$0$ |
$1.83432$ |
Dirichlet character \(\chi_{171} (113, \cdot) \) |
1-171-171.121-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.121 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0772$ |
$0$ |
$1.87543$ |
Dirichlet character \(\chi_{171} (121, \cdot) \) |
1-171-171.122-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.122 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0399$ |
$0$ |
$1.72399$ |
Dirichlet character \(\chi_{171} (122, \cdot) \) |
1-171-171.128-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.128 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.00861$ |
$0$ |
$1.49834$ |
Dirichlet character \(\chi_{171} (128, \cdot) \) |
1-171-171.130-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.130 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.00241$ |
$0$ |
$1.23655$ |
Dirichlet character \(\chi_{171} (130, \cdot) \) |
1-171-171.139-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.139 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.219$ |
$0$ |
$2.21144$ |
Dirichlet character \(\chi_{171} (139, \cdot) \) |
1-171-171.14-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.14 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.286$ |
$0$ |
$0.0171493$ |
Dirichlet character \(\chi_{171} (14, \cdot) \) |
1-171-171.142-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.142 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.391$ |
$0$ |
$2.59779$ |
Dirichlet character \(\chi_{171} (142, \cdot) \) |
1-171-171.146-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.146 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.472$ |
$0$ |
$2.17608$ |
Dirichlet character \(\chi_{171} (146, \cdot) \) |
1-171-171.155-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.155 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.194$ |
$0$ |
$1.30881$ |
Dirichlet character \(\chi_{171} (155, \cdot) \) |
1-171-171.157-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.157 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0895$ |
$0$ |
$1.22241$ |
Dirichlet character \(\chi_{171} (157, \cdot) \) |
1-171-171.16-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.16 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.219$ |
$0$ |
$1.55492$ |
Dirichlet character \(\chi_{171} (16, \cdot) \) |
1-171-171.164-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.164 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0399$ |
$0$ |
$1.96821$ |
Dirichlet character \(\chi_{171} (164, \cdot) \) |
1-171-171.167-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.167 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.00861$ |
$0$ |
$1.34698$ |
Dirichlet character \(\chi_{171} (167, \cdot) \) |
1-171-171.169-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.169 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.386$ |
$0$ |
$2.12625$ |
Dirichlet character \(\chi_{171} (169, \cdot) \) |
1-171-171.2-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.2 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0518$ |
$0$ |
$1.09129$ |
Dirichlet character \(\chi_{171} (2, \cdot) \) |
1-171-171.25-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.25 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.00241$ |
$0$ |
$1.12572$ |
Dirichlet character \(\chi_{171} (25, \cdot) \) |
1-171-171.29-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.29 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.225$ |
$0$ |
$2.18315$ |
Dirichlet character \(\chi_{171} (29, \cdot) \) |
1-171-171.32-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.32 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.194$ |
$0$ |
$1.85906$ |
Dirichlet character \(\chi_{171} (32, \cdot) \) |
1-171-171.4-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.4 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.132$ |
$0$ |
$1.27798$ |
Dirichlet character \(\chi_{171} (4, \cdot) \) |
1-171-171.41-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.41 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.472$ |
$0$ |
$0.341885$ |
Dirichlet character \(\chi_{171} (41, \cdot) \) |
1-171-171.43-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.43 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.132$ |
$0$ |
$0.945222$ |
Dirichlet character \(\chi_{171} (43, \cdot) \) |
1-171-171.49-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.49 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.144$ |
$0$ |
$2.28470$ |
Dirichlet character \(\chi_{171} (49, \cdot) \) |
1-171-171.50-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.50 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.237$ |
$0$ |
$0.781811$ |
Dirichlet character \(\chi_{171} (50, \cdot) \) |
1-171-171.56-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.56 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.361$ |
$0$ |
$0.823145$ |
Dirichlet character \(\chi_{171} (56, \cdot) \) |
1-171-171.59-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.59 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.225$ |
$0$ |
$1.35206$ |
Dirichlet character \(\chi_{171} (59, \cdot) \) |
1-171-171.61-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.61 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0895$ |
$0$ |
$1.58329$ |
Dirichlet character \(\chi_{171} (61, \cdot) \) |
1-171-171.65-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.65 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.237$ |
$0$ |
$1.26776$ |
Dirichlet character \(\chi_{171} (65, \cdot) \) |
1-171-171.7-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.7 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.144$ |
$0$ |
$1.26020$ |
Dirichlet character \(\chi_{171} (7, \cdot) \) |
1-171-171.85-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.85 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.386$ |
$0$ |
$0.972458$ |
Dirichlet character \(\chi_{171} (85, \cdot) \) |
1-171-171.86-r0-0-0 |
$0.794$ |
$0.794$ |
$1$ |
$3^{2} \cdot 19$ |
171.86 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0518$ |
$0$ |
$1.63580$ |
Dirichlet character \(\chi_{171} (86, \cdot) \) |
1-171-171.101-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.101 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.247$ |
$0$ |
$2.03736$ |
Dirichlet character \(\chi_{171} (101, \cdot) \) |
1-171-171.103-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.103 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.289$ |
$0$ |
$0.0427309$ |
Dirichlet character \(\chi_{171} (103, \cdot) \) |
1-171-171.104-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.104 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.363$ |
$0$ |
$1.35379$ |
Dirichlet character \(\chi_{171} (104, \cdot) \) |
1-171-171.11-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.11 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.172$ |
$0$ |
$1.34840$ |
Dirichlet character \(\chi_{171} (11, \cdot) \) |
1-171-171.119-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.119 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.117$ |
$0$ |
$1.64154$ |
Dirichlet character \(\chi_{171} (119, \cdot) \) |
1-171-171.124-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.124 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.475$ |
$0$ |
$1.74094$ |
Dirichlet character \(\chi_{171} (124, \cdot) \) |
1-171-171.13-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.13 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0556$ |
$0$ |
$1.08306$ |
Dirichlet character \(\chi_{171} (13, \cdot) \) |
1-171-171.131-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.131 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.358$ |
$0$ |
$1.34668$ |
Dirichlet character \(\chi_{171} (131, \cdot) \) |
1-171-171.137-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.137 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.160$ |
$0$ |
$0.702334$ |
Dirichlet character \(\chi_{171} (137, \cdot) \) |
1-171-171.140-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.140 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.172$ |
$0$ |
$0.122172$ |
Dirichlet character \(\chi_{171} (140, \cdot) \) |
1-171-171.148-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.148 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.241$ |
$0$ |
$0.824336$ |
Dirichlet character \(\chi_{171} (148, \cdot) \) |
1-171-171.149-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.149 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.247$ |
$0$ |
$0.552343$ |
Dirichlet character \(\chi_{171} (149, \cdot) \) |
1-171-171.151-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.151 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.111$ |
$0$ |
$0.302353$ |
Dirichlet character \(\chi_{171} (151, \cdot) \) |
1-171-171.158-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.158 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0301$ |
$0$ |
$0.972026$ |
Dirichlet character \(\chi_{171} (158, \cdot) \) |
1-171-171.160-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.160 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.487$ |
$0$ |
$0.506322$ |
Dirichlet character \(\chi_{171} (160, \cdot) \) |
1-171-171.166-r1-0-0 |
$18.3$ |
$18.3$ |
$1$ |
$3^{2} \cdot 19$ |
171.166 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.463$ |
$0$ |
$0.468857$ |
Dirichlet character \(\chi_{171} (166, \cdot) \) |