Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-273-273.101-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.101 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.231$ |
$0$ |
$1.05698$ |
Dirichlet character \(\chi_{273} (101, \cdot) \) |
1-273-273.11-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.11 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.246$ |
$0$ |
$1.58667$ |
Dirichlet character \(\chi_{273} (11, \cdot) \) |
1-273-273.128-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.128 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.233$ |
$0$ |
$0.862305$ |
Dirichlet character \(\chi_{273} (128, \cdot) \) |
1-273-273.137-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.137 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.172$ |
$0$ |
$1.17420$ |
Dirichlet character \(\chi_{273} (137, \cdot) \) |
1-273-273.146-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.146 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.290$ |
$0$ |
$1.12100$ |
Dirichlet character \(\chi_{273} (146, \cdot) \) |
1-273-273.149-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.149 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.246$ |
$0$ |
$0.842636$ |
Dirichlet character \(\chi_{273} (149, \cdot) \) |
1-273-273.152-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.152 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.437$ |
$0$ |
$0.431237$ |
Dirichlet character \(\chi_{273} (152, \cdot) \) |
1-273-273.158-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.158 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.347$ |
$0$ |
$0.805077$ |
Dirichlet character \(\chi_{273} (158, \cdot) \) |
1-273-273.17-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.17 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0611$ |
$0$ |
$1.53332$ |
Dirichlet character \(\chi_{273} (17, \cdot) \) |
1-273-273.173-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.173 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.231$ |
$0$ |
$1.33672$ |
Dirichlet character \(\chi_{273} (173, \cdot) \) |
1-273-273.185-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.185 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.437$ |
$0$ |
$2.51296$ |
Dirichlet character \(\chi_{273} (185, \cdot) \) |
1-273-273.194-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.194 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.146$ |
$0$ |
$1.72712$ |
Dirichlet character \(\chi_{273} (194, \cdot) \) |
1-273-273.2-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.2 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.172$ |
$0$ |
$1.23908$ |
Dirichlet character \(\chi_{273} (2, \cdot) \) |
1-273-273.200-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.200 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.286$ |
$0$ |
$1.50105$ |
Dirichlet character \(\chi_{273} (200, \cdot) \) |
1-273-273.230-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.230 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.290$ |
$0$ |
$1.82481$ |
Dirichlet character \(\chi_{273} (230, \cdot) \) |
1-273-273.242-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.242 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.193$ |
$0$ |
$1.96223$ |
Dirichlet character \(\chi_{273} (242, \cdot) \) |
1-273-273.251-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.251 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0853$ |
$0$ |
$1.26075$ |
Dirichlet character \(\chi_{273} (251, \cdot) \) |
1-273-273.254-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.254 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.347$ |
$0$ |
$2.19151$ |
Dirichlet character \(\chi_{273} (254, \cdot) \) |
1-273-273.257-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.257 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0611$ |
$0$ |
$1.82687$ |
Dirichlet character \(\chi_{273} (257, \cdot) \) |
1-273-273.269-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.269 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.144$ |
$0$ |
$1.22925$ |
Dirichlet character \(\chi_{273} (269, \cdot) \) |
1-273-273.272-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.272 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$1.44894$ |
Dirichlet character \(\chi_{273} (272, \cdot) \) |
1-273-273.32-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.32 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.233$ |
$0$ |
$1.16071$ |
Dirichlet character \(\chi_{273} (32, \cdot) \) |
1-273-273.38-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.38 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.146$ |
$0$ |
$0.626909$ |
Dirichlet character \(\chi_{273} (38, \cdot) \) |
1-273-273.44-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.44 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.193$ |
$0$ |
$1.44815$ |
Dirichlet character \(\chi_{273} (44, \cdot) \) |
1-273-273.62-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.62 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0853$ |
$0$ |
$0.485681$ |
Dirichlet character \(\chi_{273} (62, \cdot) \) |
1-273-273.68-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.68 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.144$ |
$0$ |
$0.809450$ |
Dirichlet character \(\chi_{273} (68, \cdot) \) |
1-273-273.86-r0-0-0 |
$1.26$ |
$1.26$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.86 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.286$ |
$0$ |
$0.199351$ |
Dirichlet character \(\chi_{273} (86, \cdot) \) |
1-273-273.107-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.107 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.469$ |
$0$ |
$1.67776$ |
Dirichlet character \(\chi_{273} (107, \cdot) \) |
1-273-273.110-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.110 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.359$ |
$0$ |
$0.203925$ |
Dirichlet character \(\chi_{273} (110, \cdot) \) |
1-273-273.116-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.116 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.239$ |
$0$ |
$0.797297$ |
Dirichlet character \(\chi_{273} (116, \cdot) \) |
1-273-273.122-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.122 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.400$ |
$0$ |
$1.66489$ |
Dirichlet character \(\chi_{273} (122, \cdot) \) |
1-273-273.125-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.125 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.453$ |
$0$ |
$0.0523030$ |
Dirichlet character \(\chi_{273} (125, \cdot) \) |
1-273-273.164-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.164 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.306$ |
$0$ |
$1.43496$ |
Dirichlet character \(\chi_{273} (164, \cdot) \) |
1-273-273.167-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.167 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.493$ |
$0$ |
$2.15547$ |
Dirichlet character \(\chi_{273} (167, \cdot) \) |
1-273-273.179-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.179 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.154$ |
$0$ |
$1.13986$ |
Dirichlet character \(\chi_{273} (179, \cdot) \) |
1-273-273.188-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.188 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.493$ |
$0$ |
$0.438641$ |
Dirichlet character \(\chi_{273} (188, \cdot) \) |
1-273-273.191-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.191 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0507$ |
$0$ |
$1.31371$ |
Dirichlet character \(\chi_{273} (191, \cdot) \) |
1-273-273.20-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.20 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0874$ |
$0$ |
$0.774240$ |
Dirichlet character \(\chi_{273} (20, \cdot) \) |
1-273-273.206-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.206 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.359$ |
$0$ |
$1.03854$ |
Dirichlet character \(\chi_{273} (206, \cdot) \) |
1-273-273.212-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.212 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.154$ |
$0$ |
$0.438691$ |
Dirichlet character \(\chi_{273} (212, \cdot) \) |
1-273-273.215-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.215 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.233$ |
$0$ |
$1.57533$ |
Dirichlet character \(\chi_{273} (215, \cdot) \) |
1-273-273.227-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.227 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.347$ |
$0$ |
$1.24438$ |
Dirichlet character \(\chi_{273} (227, \cdot) \) |
1-273-273.23-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.23 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.325$ |
$0$ |
$0.517953$ |
Dirichlet character \(\chi_{273} (23, \cdot) \) |
1-273-273.233-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.233 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.239$ |
$0$ |
$0.621773$ |
Dirichlet character \(\chi_{273} (233, \cdot) \) |
1-273-273.236-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.236 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0590$ |
$0$ |
$0.365099$ |
Dirichlet character \(\chi_{273} (236, \cdot) \) |
1-273-273.263-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.263 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0507$ |
$0$ |
$0.561228$ |
Dirichlet character \(\chi_{273} (263, \cdot) \) |
1-273-273.41-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.41 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0874$ |
$0$ |
$0.905026$ |
Dirichlet character \(\chi_{273} (41, \cdot) \) |
1-273-273.47-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.47 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.400$ |
$0$ |
$0.167599$ |
Dirichlet character \(\chi_{273} (47, \cdot) \) |
1-273-273.5-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.5 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.306$ |
$0$ |
$0.613415$ |
Dirichlet character \(\chi_{273} (5, \cdot) \) |
1-273-273.59-r1-0-0 |
$29.3$ |
$29.3$ |
$1$ |
$3 \cdot 7 \cdot 13$ |
273.59 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0590$ |
$0$ |
$0.784285$ |
Dirichlet character \(\chi_{273} (59, \cdot) \) |