Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-51-51.11-r0-0-0 |
$0.236$ |
$0.236$ |
$1$ |
$3 \cdot 17$ |
51.11 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.290$ |
$0$ |
$1.06674$ |
Character $\chi_{51}(11, \cdot)$ |
1-51-51.14-r0-0-0 |
$0.236$ |
$0.236$ |
$1$ |
$3 \cdot 17$ |
51.14 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.290$ |
$0$ |
$2.41343$ |
Character $\chi_{51}(14, \cdot)$ |
1-51-51.20-r0-0-0 |
$0.236$ |
$0.236$ |
$1$ |
$3 \cdot 17$ |
51.20 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0328$ |
$0$ |
$1.31456$ |
Character $\chi_{51}(20, \cdot)$ |
1-51-51.23-r0-0-0 |
$0.236$ |
$0.236$ |
$1$ |
$3 \cdot 17$ |
51.23 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0328$ |
$0$ |
$2.15923$ |
Character $\chi_{51}(23, \cdot)$ |
1-51-51.29-r0-0-0 |
$0.236$ |
$0.236$ |
$1$ |
$3 \cdot 17$ |
51.29 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.211$ |
$0$ |
$1.73907$ |
Character $\chi_{51}(29, \cdot)$ |
1-51-51.41-r0-0-0 |
$0.236$ |
$0.236$ |
$1$ |
$3 \cdot 17$ |
51.41 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.151$ |
$0$ |
$2.76258$ |
Character $\chi_{51}(41, \cdot)$ |
1-51-51.44-r0-0-0 |
$0.236$ |
$0.236$ |
$1$ |
$3 \cdot 17$ |
51.44 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.211$ |
$0$ |
$3.06994$ |
Character $\chi_{51}(44, \cdot)$ |
1-51-51.5-r0-0-0 |
$0.236$ |
$0.236$ |
$1$ |
$3 \cdot 17$ |
51.5 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.151$ |
$0$ |
$2.13572$ |
Character $\chi_{51}(5, \cdot)$ |
1-51-51.2-r1-0-0 |
$5.48$ |
$5.48$ |
$1$ |
$3 \cdot 17$ |
51.2 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.492$ |
$0$ |
$0.560656$ |
Character $\chi_{51}(2, \cdot)$ |
1-51-51.26-r1-0-0 |
$5.48$ |
$5.48$ |
$1$ |
$3 \cdot 17$ |
51.26 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.492$ |
$0$ |
$2.74573$ |
Character $\chi_{51}(26, \cdot)$ |
1-51-51.32-r1-0-0 |
$5.48$ |
$5.48$ |
$1$ |
$3 \cdot 17$ |
51.32 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.112$ |
$0$ |
$1.95216$ |
Character $\chi_{51}(32, \cdot)$ |
1-51-51.38-r1-0-0 |
$5.48$ |
$5.48$ |
$1$ |
$3 \cdot 17$ |
51.38 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.105$ |
$0$ |
$2.37659$ |
Character $\chi_{51}(38, \cdot)$ |
1-51-51.47-r1-0-0 |
$5.48$ |
$5.48$ |
$1$ |
$3 \cdot 17$ |
51.47 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.105$ |
$0$ |
$1.52875$ |
Character $\chi_{51}(47, \cdot)$ |
1-51-51.50-r1-0-0 |
$5.48$ |
$5.48$ |
$1$ |
$3 \cdot 17$ |
51.50 |
$1$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$1.26789$ |
Character $\chi_{51}(50, \cdot)$ |
1-51-51.8-r1-0-0 |
$5.48$ |
$5.48$ |
$1$ |
$3 \cdot 17$ |
51.8 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.112$ |
$0$ |
$0.625967$ |
Character $\chi_{51}(8, \cdot)$ |