Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-111-111.14-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.14 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.135$ |
$0$ |
$1.35716$ |
Dirichlet character \(\chi_{111} (14, \cdot) \) |
1-111-111.17-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.17 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0795$ |
$0$ |
$1.72334$ |
Dirichlet character \(\chi_{111} (17, \cdot) \) |
1-111-111.2-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.2 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0578$ |
$0$ |
$1.64643$ |
Dirichlet character \(\chi_{111} (2, \cdot) \) |
1-111-111.20-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.20 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.467$ |
$0$ |
$2.79932$ |
Dirichlet character \(\chi_{111} (20, \cdot) \) |
1-111-111.23-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.23 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0884$ |
$0$ |
$2.00695$ |
Dirichlet character \(\chi_{111} (23, \cdot) \) |
1-111-111.29-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.29 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0884$ |
$0$ |
$2.02888$ |
Dirichlet character \(\chi_{111} (29, \cdot) \) |
1-111-111.32-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.32 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.483$ |
$0$ |
$0.325560$ |
Dirichlet character \(\chi_{111} (32, \cdot) \) |
1-111-111.35-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.35 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0151$ |
$0$ |
$1.78447$ |
Dirichlet character \(\chi_{111} (35, \cdot) \) |
1-111-111.5-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.5 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.326$ |
$0$ |
$2.79678$ |
Dirichlet character \(\chi_{111} (5, \cdot) \) |
1-111-111.50-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.50 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.467$ |
$0$ |
$0.660513$ |
Dirichlet character \(\chi_{111} (50, \cdot) \) |
1-111-111.56-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.56 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0578$ |
$0$ |
$1.26028$ |
Dirichlet character \(\chi_{111} (56, \cdot) \) |
1-111-111.59-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.59 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.483$ |
$0$ |
$2.38315$ |
Dirichlet character \(\chi_{111} (59, \cdot) \) |
1-111-111.68-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.68 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.111$ |
$0$ |
$1.59543$ |
Dirichlet character \(\chi_{111} (68, \cdot) \) |
1-111-111.8-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.8 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.135$ |
$0$ |
$1.00359$ |
Dirichlet character \(\chi_{111} (8, \cdot) \) |
1-111-111.80-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.80 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.111$ |
$0$ |
$1.39957$ |
Dirichlet character \(\chi_{111} (80, \cdot) \) |
1-111-111.89-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.89 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.326$ |
$0$ |
$1.17151$ |
Dirichlet character \(\chi_{111} (89, \cdot) \) |
1-111-111.92-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.92 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0151$ |
$0$ |
$2.13531$ |
Dirichlet character \(\chi_{111} (92, \cdot) \) |
1-111-111.98-r0-0-0 |
$0.515$ |
$0.515$ |
$1$ |
$3 \cdot 37$ |
111.98 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0795$ |
$0$ |
$1.31186$ |
Dirichlet character \(\chi_{111} (98, \cdot) \) |
1-111-111.101-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.101 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.380$ |
$0$ |
$0.263001$ |
Dirichlet character \(\chi_{111} (101, \cdot) \) |
1-111-111.104-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.104 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.276$ |
$0$ |
$2.01712$ |
Dirichlet character \(\chi_{111} (104, \cdot) \) |
1-111-111.107-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.107 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.244$ |
$0$ |
$2.02170$ |
Dirichlet character \(\chi_{111} (107, \cdot) \) |
1-111-111.11-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.11 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.380$ |
$0$ |
$1.25586$ |
Dirichlet character \(\chi_{111} (11, \cdot) \) |
1-111-111.110-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.110 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$1.71181$ |
Dirichlet character \(\chi_{111} (110, \cdot) \) |
1-111-111.26-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.26 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.476$ |
$0$ |
$0.359197$ |
Dirichlet character \(\chi_{111} (26, \cdot) \) |
1-111-111.41-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.41 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.401$ |
$0$ |
$0.510646$ |
Dirichlet character \(\chi_{111} (41, \cdot) \) |
1-111-111.44-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.44 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0463$ |
$0$ |
$0.950648$ |
Dirichlet character \(\chi_{111} (44, \cdot) \) |
1-111-111.47-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.47 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.476$ |
$0$ |
$2.29970$ |
Dirichlet character \(\chi_{111} (47, \cdot) \) |
1-111-111.53-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.53 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0463$ |
$0$ |
$1.09445$ |
Dirichlet character \(\chi_{111} (53, \cdot) \) |
1-111-111.62-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.62 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.411$ |
$0$ |
$0.859373$ |
Dirichlet character \(\chi_{111} (62, \cdot) \) |
1-111-111.65-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.65 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.401$ |
$0$ |
$1.76543$ |
Dirichlet character \(\chi_{111} (65, \cdot) \) |
1-111-111.71-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.71 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.100$ |
$0$ |
$1.08995$ |
Dirichlet character \(\chi_{111} (71, \cdot) \) |
1-111-111.77-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.77 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.411$ |
$0$ |
$1.92968$ |
Dirichlet character \(\chi_{111} (77, \cdot) \) |
1-111-111.83-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.83 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.244$ |
$0$ |
$1.03696$ |
Dirichlet character \(\chi_{111} (83, \cdot) \) |
1-111-111.86-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.86 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.100$ |
$0$ |
$0.804829$ |
Dirichlet character \(\chi_{111} (86, \cdot) \) |
1-111-111.95-r1-0-0 |
$11.9$ |
$11.9$ |
$1$ |
$3 \cdot 37$ |
111.95 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.276$ |
$0$ |
$0.209941$ |
Dirichlet character \(\chi_{111} (95, \cdot) \) |