Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-53-53.10-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.10 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.221$ |
$0$ |
$1.74843$ |
Character $\chi_{53}(10, \cdot)$ |
1-53-53.11-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.11 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.135$ |
$0$ |
$3.15592$ |
Character $\chi_{53}(11, \cdot)$ |
1-53-53.13-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.13 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.222$ |
$0$ |
$1.11081$ |
Character $\chi_{53}(13, \cdot)$ |
1-53-53.15-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.15 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.118$ |
$0$ |
$2.29869$ |
Character $\chi_{53}(15, \cdot)$ |
1-53-53.16-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.221$ |
$0$ |
$3.19585$ |
Character $\chi_{53}(16, \cdot)$ |
1-53-53.17-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.17 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.333$ |
$0$ |
$3.36449$ |
Character $\chi_{53}(17, \cdot)$ |
1-53-53.24-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.24 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.246$ |
$0$ |
$1.96871$ |
Character $\chi_{53}(24, \cdot)$ |
1-53-53.25-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.25 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.333$ |
$0$ |
$1.59086$ |
Character $\chi_{53}(25, \cdot)$ |
1-53-53.28-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.28 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.471$ |
$0$ |
$3.47380$ |
Character $\chi_{53}(28, \cdot)$ |
1-53-53.29-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.29 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.135$ |
$0$ |
$2.28909$ |
Character $\chi_{53}(29, \cdot)$ |
1-53-53.36-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.36 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.471$ |
$0$ |
$0.842178$ |
Character $\chi_{53}(36, \cdot)$ |
1-53-53.37-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.37 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.139$ |
$0$ |
$1.79711$ |
Character $\chi_{53}(37, \cdot)$ |
1-53-53.38-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.38 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.196$ |
$0$ |
$2.52459$ |
Character $\chi_{53}(38, \cdot)$ |
1-53-53.4-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0778$ |
$0$ |
$1.94741$ |
Character $\chi_{53}(4, \cdot)$ |
1-53-53.40-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.40 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0778$ |
$0$ |
$2.84928$ |
Character $\chi_{53}(40, \cdot)$ |
1-53-53.42-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.42 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.246$ |
$0$ |
$0.977468$ |
Character $\chi_{53}(42, \cdot)$ |
1-53-53.43-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.43 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.139$ |
$0$ |
$1.97694$ |
Character $\chi_{53}(43, \cdot)$ |
1-53-53.44-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.44 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.235$ |
$0$ |
$2.71502$ |
Character $\chi_{53}(44, \cdot)$ |
1-53-53.46-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.46 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.118$ |
$0$ |
$2.25866$ |
Character $\chi_{53}(46, \cdot)$ |
1-53-53.47-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.47 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.235$ |
$0$ |
$1.41049$ |
Character $\chi_{53}(47, \cdot)$ |
1-53-53.49-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.49 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.222$ |
$0$ |
$2.65620$ |
Character $\chi_{53}(49, \cdot)$ |
1-53-53.52-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.52 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$1.28711$ |
Character $\chi_{53}(52, \cdot)$ |
1-53-53.6-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.6 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0718$ |
$0$ |
$1.86866$ |
Character $\chi_{53}(6, \cdot)$ |
1-53-53.7-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.7 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.196$ |
$0$ |
$0.612159$ |
Character $\chi_{53}(7, \cdot)$ |
1-53-53.9-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.9 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0718$ |
$0$ |
$1.93121$ |
Character $\chi_{53}(9, \cdot)$ |
1-53-53.12-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.12 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.450$ |
$0$ |
$2.37776$ |
Character $\chi_{53}(12, \cdot)$ |
1-53-53.14-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.14 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0600$ |
$0$ |
$0.971955$ |
Character $\chi_{53}(14, \cdot)$ |
1-53-53.18-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.18 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0358$ |
$0$ |
$0.995561$ |
Character $\chi_{53}(18, \cdot)$ |
1-53-53.19-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.19 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0600$ |
$0$ |
$1.88491$ |
Character $\chi_{53}(19, \cdot)$ |
1-53-53.2-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.2 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.180$ |
$0$ |
$2.33187$ |
Character $\chi_{53}(2, \cdot)$ |
1-53-53.20-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.20 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0109$ |
$0$ |
$2.38715$ |
Character $\chi_{53}(20, \cdot)$ |
1-53-53.21-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.21 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.190$ |
$0$ |
$2.15927$ |
Character $\chi_{53}(21, \cdot)$ |
1-53-53.22-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.22 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.484$ |
$0$ |
$3.40635$ |
Character $\chi_{53}(22, \cdot)$ |
1-53-53.23-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.23 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.272$ |
$0$ |
$0.0480504$ |
Character $\chi_{53}(23, \cdot)$ |
1-53-53.26-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.26 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.203$ |
$0$ |
$0.525896$ |
Character $\chi_{53}(26, \cdot)$ |
1-53-53.27-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.27 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.180$ |
$0$ |
$1.44486$ |
Character $\chi_{53}(27, \cdot)$ |
1-53-53.3-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.3 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0358$ |
$0$ |
$0.703480$ |
Character $\chi_{53}(3, \cdot)$ |
1-53-53.30-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.30 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.272$ |
$0$ |
$3.68829$ |
Character $\chi_{53}(30, \cdot)$ |
1-53-53.31-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.31 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.450$ |
$0$ |
$0.888006$ |
Character $\chi_{53}(31, \cdot)$ |
1-53-53.32-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.32 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.450$ |
$0$ |
$2.76923$ |
Character $\chi_{53}(32, \cdot)$ |
1-53-53.33-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.33 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.491$ |
$0$ |
$0.00642891$ |
Character $\chi_{53}(33, \cdot)$ |
1-53-53.34-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.34 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.156$ |
$0$ |
$1.44809$ |
Character $\chi_{53}(34, \cdot)$ |
1-53-53.35-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.35 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.261$ |
$0$ |
$2.52622$ |
Character $\chi_{53}(35, \cdot)$ |
1-53-53.39-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.39 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.156$ |
$0$ |
$1.21994$ |
Character $\chi_{53}(39, \cdot)$ |
1-53-53.41-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.41 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.484$ |
$0$ |
$0.864610$ |
Character $\chi_{53}(41, \cdot)$ |
1-53-53.45-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.45 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.491$ |
$0$ |
$2.17596$ |
Character $\chi_{53}(45, \cdot)$ |
1-53-53.48-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.48 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.190$ |
$0$ |
$0.922648$ |
Character $\chi_{53}(48, \cdot)$ |
1-53-53.5-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.5 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.450$ |
$0$ |
$0.305285$ |
Character $\chi_{53}(5, \cdot)$ |
1-53-53.50-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.50 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.261$ |
$0$ |
$1.37631$ |
Character $\chi_{53}(50, \cdot)$ |
1-53-53.51-r1-0-0 |
$5.69$ |
$5.69$ |
$1$ |
$53$ |
53.51 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.203$ |
$0$ |
$1.81154$ |
Character $\chi_{53}(51, \cdot)$ |