Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-56-56.19-r0-0-0 |
$0.260$ |
$0.260$ |
$1$ |
$2^{3} \cdot 7$ |
56.19 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.186$ |
$0$ |
$1.48445$ |
Character $\chi_{56}(19, \cdot)$ |
1-56-56.27-r0-0-0 |
$0.260$ |
$0.260$ |
$1$ |
$2^{3} \cdot 7$ |
56.27 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$1.70166$ |
Character $\chi_{56}(27, \cdot)$ |
1-56-56.3-r0-0-0 |
$0.260$ |
$0.260$ |
$1$ |
$2^{3} \cdot 7$ |
56.3 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.186$ |
$0$ |
$2.86592$ |
Character $\chi_{56}(3, \cdot)$ |
1-56-56.37-r0-0-0 |
$0.260$ |
$0.260$ |
$1$ |
$2^{3} \cdot 7$ |
56.37 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0732$ |
$0$ |
$1.97918$ |
Character $\chi_{56}(37, \cdot)$ |
1-56-56.53-r0-0-0 |
$0.260$ |
$0.260$ |
$1$ |
$2^{3} \cdot 7$ |
56.53 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0732$ |
$0$ |
$2.28693$ |
Character $\chi_{56}(53, \cdot)$ |
1-56-56.11-r1-0-0 |
$6.01$ |
$6.01$ |
$1$ |
$2^{3} \cdot 7$ |
56.11 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.426$ |
$0$ |
$0.526302$ |
Character $\chi_{56}(11, \cdot)$ |
1-56-56.13-r1-0-0 |
$6.01$ |
$6.01$ |
$1$ |
$2^{3} \cdot 7$ |
56.13 |
$1$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$1.78947$ |
Character $\chi_{56}(13, \cdot)$ |
1-56-56.45-r1-0-0 |
$6.01$ |
$6.01$ |
$1$ |
$2^{3} \cdot 7$ |
56.45 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.186$ |
$0$ |
$1.73250$ |
Character $\chi_{56}(45, \cdot)$ |
1-56-56.5-r1-0-0 |
$6.01$ |
$6.01$ |
$1$ |
$2^{3} \cdot 7$ |
56.5 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.186$ |
$0$ |
$0.611430$ |
Character $\chi_{56}(5, \cdot)$ |
1-56-56.51-r1-0-0 |
$6.01$ |
$6.01$ |
$1$ |
$2^{3} \cdot 7$ |
56.51 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.426$ |
$0$ |
$2.56180$ |
Character $\chi_{56}(51, \cdot)$ |