Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-47-47.12-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.12 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00169$ |
$0$ |
$2.54340$ |
Character $\chi_{47}(12, \cdot)$ |
1-47-47.14-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.14 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.222$ |
$0$ |
$1.40416$ |
Character $\chi_{47}(14, \cdot)$ |
1-47-47.16-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.362$ |
$0$ |
$3.81898$ |
Character $\chi_{47}(16, \cdot)$ |
1-47-47.17-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.17 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.217$ |
$0$ |
$2.77315$ |
Character $\chi_{47}(17, \cdot)$ |
1-47-47.18-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.18 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.112$ |
$0$ |
$2.80478$ |
Character $\chi_{47}(18, \cdot)$ |
1-47-47.2-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.2 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.00717$ |
$0$ |
$2.68281$ |
Character $\chi_{47}(2, \cdot)$ |
1-47-47.21-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.21 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.161$ |
$0$ |
$1.88162$ |
Character $\chi_{47}(21, \cdot)$ |
1-47-47.24-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.24 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00717$ |
$0$ |
$2.84522$ |
Character $\chi_{47}(24, \cdot)$ |
1-47-47.25-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.25 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.245$ |
$0$ |
$2.03787$ |
Character $\chi_{47}(25, \cdot)$ |
1-47-47.27-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.27 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.147$ |
$0$ |
$2.36371$ |
Character $\chi_{47}(27, \cdot)$ |
1-47-47.28-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.28 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.245$ |
$0$ |
$2.27011$ |
Character $\chi_{47}(28, \cdot)$ |
1-47-47.3-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.3 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.362$ |
$0$ |
$1.31970$ |
Character $\chi_{47}(3, \cdot)$ |
1-47-47.32-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.32 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.245$ |
$0$ |
$3.16040$ |
Character $\chi_{47}(32, \cdot)$ |
1-47-47.34-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.34 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.112$ |
$0$ |
$1.20958$ |
Character $\chi_{47}(34, \cdot)$ |
1-47-47.36-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.36 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.217$ |
$0$ |
$1.76763$ |
Character $\chi_{47}(36, \cdot)$ |
1-47-47.37-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.37 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.222$ |
$0$ |
$2.27948$ |
Character $\chi_{47}(37, \cdot)$ |
1-47-47.4-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00169$ |
$0$ |
$2.15012$ |
Character $\chi_{47}(4, \cdot)$ |
1-47-47.42-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.42 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.245$ |
$0$ |
$0.383491$ |
Character $\chi_{47}(42, \cdot)$ |
1-47-47.6-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.6 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.284$ |
$0$ |
$1.39327$ |
Character $\chi_{47}(6, \cdot)$ |
1-47-47.7-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.7 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.147$ |
$0$ |
$1.56036$ |
Character $\chi_{47}(7, \cdot)$ |
1-47-47.8-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.8 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.284$ |
$0$ |
$3.25269$ |
Character $\chi_{47}(8, \cdot)$ |
1-47-47.9-r0-0-0 |
$0.218$ |
$0.218$ |
$1$ |
$47$ |
47.9 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.161$ |
$0$ |
$1.34090$ |
Character $\chi_{47}(9, \cdot)$ |