Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-89-89.10-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.10 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0249$ |
$0$ |
$1.91015$ |
Character $\chi_{89}(10, \cdot)$ |
1-89-89.11-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.11 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.111$ |
$0$ |
$1.78082$ |
Character $\chi_{89}(11, \cdot)$ |
1-89-89.16-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.336$ |
$0$ |
$1.25331$ |
Character $\chi_{89}(16, \cdot)$ |
1-89-89.17-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.17 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.135$ |
$0$ |
$2.58550$ |
Character $\chi_{89}(17, \cdot)$ |
1-89-89.18-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.18 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.474$ |
$0$ |
$3.26076$ |
Character $\chi_{89}(18, \cdot)$ |
1-89-89.2-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.2 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.108$ |
$0$ |
$1.81943$ |
Character $\chi_{89}(2, \cdot)$ |
1-89-89.20-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.20 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.138$ |
$0$ |
$2.09078$ |
Character $\chi_{89}(20, \cdot)$ |
1-89-89.21-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.21 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.135$ |
$0$ |
$2.25917$ |
Character $\chi_{89}(21, \cdot)$ |
1-89-89.22-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.22 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.355$ |
$0$ |
$2.95265$ |
Character $\chi_{89}(22, \cdot)$ |
1-89-89.25-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.25 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.329$ |
$0$ |
$0.398074$ |
Character $\chi_{89}(25, \cdot)$ |
1-89-89.32-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.32 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.311$ |
$0$ |
$0.916700$ |
Character $\chi_{89}(32, \cdot)$ |
1-89-89.34-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.34 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.169$ |
$0$ |
$2.75482$ |
Character $\chi_{89}(34, \cdot)$ |
1-89-89.36-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.36 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.431$ |
$0$ |
$2.89830$ |
Character $\chi_{89}(36, \cdot)$ |
1-89-89.39-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.39 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.336$ |
$0$ |
$2.13624$ |
Character $\chi_{89}(39, \cdot)$ |
1-89-89.4-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.383$ |
$0$ |
$2.87392$ |
Character $\chi_{89}(4, \cdot)$ |
1-89-89.40-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.40 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0967$ |
$0$ |
$0.826925$ |
Character $\chi_{89}(40, \cdot)$ |
1-89-89.42-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.42 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.110$ |
$0$ |
$2.15522$ |
Character $\chi_{89}(42, \cdot)$ |
1-89-89.44-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.44 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.326$ |
$0$ |
$3.14059$ |
Character $\chi_{89}(44, \cdot)$ |
1-89-89.45-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.45 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.108$ |
$0$ |
$2.58374$ |
Character $\chi_{89}(45, \cdot)$ |
1-89-89.47-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.47 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.431$ |
$0$ |
$1.01716$ |
Character $\chi_{89}(47, \cdot)$ |
1-89-89.49-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.49 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.138$ |
$0$ |
$1.40425$ |
Character $\chi_{89}(49, \cdot)$ |
1-89-89.5-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.5 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.474$ |
$0$ |
$0.753693$ |
Character $\chi_{89}(5, \cdot)$ |
1-89-89.50-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.50 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0945$ |
$0$ |
$1.13286$ |
Character $\chi_{89}(50, \cdot)$ |
1-89-89.53-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.53 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.110$ |
$0$ |
$2.11462$ |
Character $\chi_{89}(53, \cdot)$ |
1-89-89.55-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.55 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.169$ |
$0$ |
$1.57404$ |
Character $\chi_{89}(55, \cdot)$ |
1-89-89.57-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.57 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.329$ |
$0$ |
$1.90484$ |
Character $\chi_{89}(57, \cdot)$ |
1-89-89.64-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.64 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.311$ |
$0$ |
$2.41149$ |
Character $\chi_{89}(64, \cdot)$ |
1-89-89.67-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.67 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.383$ |
$0$ |
$0.0532281$ |
Character $\chi_{89}(67, \cdot)$ |
1-89-89.68-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.68 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0387$ |
$0$ |
$1.84404$ |
Character $\chi_{89}(68, \cdot)$ |
1-89-89.69-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.69 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0967$ |
$0$ |
$1.77677$ |
Character $\chi_{89}(69, \cdot)$ |
1-89-89.71-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.71 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.258$ |
$0$ |
$1.89645$ |
Character $\chi_{89}(71, \cdot)$ |
1-89-89.72-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.72 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0387$ |
$0$ |
$1.70542$ |
Character $\chi_{89}(72, \cdot)$ |
1-89-89.73-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.73 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0945$ |
$0$ |
$1.95384$ |
Character $\chi_{89}(73, \cdot)$ |
1-89-89.78-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.78 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0312$ |
$0$ |
$0.999424$ |
Character $\chi_{89}(78, \cdot)$ |
1-89-89.79-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.79 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.136$ |
$0$ |
$0.934541$ |
Character $\chi_{89}(79, \cdot)$ |
1-89-89.8-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.8 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0312$ |
$0$ |
$1.65600$ |
Character $\chi_{89}(8, \cdot)$ |
1-89-89.80-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.80 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.136$ |
$0$ |
$1.14690$ |
Character $\chi_{89}(80, \cdot)$ |
1-89-89.81-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.81 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.111$ |
$0$ |
$1.84606$ |
Character $\chi_{89}(81, \cdot)$ |
1-89-89.84-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.84 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.258$ |
$0$ |
$0.969535$ |
Character $\chi_{89}(84, \cdot)$ |
1-89-89.85-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.85 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.355$ |
$0$ |
$1.29983$ |
Character $\chi_{89}(85, \cdot)$ |
1-89-89.87-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.87 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.326$ |
$0$ |
$1.34118$ |
Character $\chi_{89}(87, \cdot)$ |
1-89-89.88-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.88 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$1.90110$ |
Character $\chi_{89}(88, \cdot)$ |
1-89-89.9-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.9 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0249$ |
$0$ |
$1.36009$ |
Character $\chi_{89}(9, \cdot)$ |
1-89-89.12-r1-0-0 |
$9.56$ |
$9.56$ |
$1$ |
$89$ |
89.12 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.391$ |
$0$ |
$2.65053$ |
Character $\chi_{89}(12, \cdot)$ |
1-89-89.13-r1-0-0 |
$9.56$ |
$9.56$ |
$1$ |
$89$ |
89.13 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.394$ |
$0$ |
$3.06842$ |
Character $\chi_{89}(13, \cdot)$ |
1-89-89.14-r1-0-0 |
$9.56$ |
$9.56$ |
$1$ |
$89$ |
89.14 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.279$ |
$0$ |
$2.40355$ |
Character $\chi_{89}(14, \cdot)$ |
1-89-89.15-r1-0-0 |
$9.56$ |
$9.56$ |
$1$ |
$89$ |
89.15 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.490$ |
$0$ |
$0.596379$ |
Character $\chi_{89}(15, \cdot)$ |
1-89-89.19-r1-0-0 |
$9.56$ |
$9.56$ |
$1$ |
$89$ |
89.19 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.473$ |
$0$ |
$1.69747$ |
Character $\chi_{89}(19, \cdot)$ |
1-89-89.23-r1-0-0 |
$9.56$ |
$9.56$ |
$1$ |
$89$ |
89.23 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0308$ |
$0$ |
$0.542585$ |
Character $\chi_{89}(23, \cdot)$ |
1-89-89.24-r1-0-0 |
$9.56$ |
$9.56$ |
$1$ |
$89$ |
89.24 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.276$ |
$0$ |
$1.10614$ |
Character $\chi_{89}(24, \cdot)$ |