| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-97-97.10-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.10 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.262$ |
$0$ |
$2.13934$ |
Character $\chi_{97}(10, \cdot)$ |
| 1-97-97.13-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.13 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.212$ |
$0$ |
$2.20745$ |
Character $\chi_{97}(13, \cdot)$ |
| 1-97-97.14-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.14 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0704$ |
$0$ |
$1.38573$ |
Character $\chi_{97}(14, \cdot)$ |
| 1-97-97.15-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.15 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.212$ |
$0$ |
$0.699495$ |
Character $\chi_{97}(15, \cdot)$ |
| 1-97-97.17-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.17 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.300$ |
$0$ |
$0.898993$ |
Character $\chi_{97}(17, \cdot)$ |
| 1-97-97.19-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.19 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0787$ |
$0$ |
$1.48206$ |
Character $\chi_{97}(19, \cdot)$ |
| 1-97-97.20-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.20 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.240$ |
$0$ |
$1.10299$ |
Character $\chi_{97}(20, \cdot)$ |
| 1-97-97.21-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.21 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.161$ |
$0$ |
$1.63750$ |
Character $\chi_{97}(21, \cdot)$ |
| 1-97-97.23-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.23 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.183$ |
$0$ |
$1.25201$ |
Character $\chi_{97}(23, \cdot)$ |
| 1-97-97.26-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.26 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.238$ |
$0$ |
$1.28241$ |
Character $\chi_{97}(26, \cdot)$ |
| 1-97-97.28-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.28 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.232$ |
$0$ |
$2.28578$ |
Character $\chi_{97}(28, \cdot)$ |
| 1-97-97.29-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.29 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.324$ |
$0$ |
$1.67582$ |
Character $\chi_{97}(29, \cdot)$ |
| 1-97-97.30-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.30 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.371$ |
$0$ |
$1.72204$ |
Character $\chi_{97}(30, \cdot)$ |
| 1-97-97.34-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.34 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.240$ |
$0$ |
$0.681032$ |
Character $\chi_{97}(34, \cdot)$ |
| 1-97-97.37-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.37 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.161$ |
$0$ |
$0.0917043$ |
Character $\chi_{97}(37, \cdot)$ |
| 1-97-97.38-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.38 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.183$ |
$0$ |
$1.37460$ |
Character $\chi_{97}(38, \cdot)$ |
| 1-97-97.39-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.39 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.00240$ |
$0$ |
$1.12892$ |
Character $\chi_{97}(39, \cdot)$ |
| 1-97-97.40-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.40 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.300$ |
$0$ |
$2.01100$ |
Character $\chi_{97}(40, \cdot)$ |
| 1-97-97.41-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.41 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.149$ |
$0$ |
$1.98989$ |
Character $\chi_{97}(41, \cdot)$ |
| 1-97-97.42-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.42 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0111$ |
$0$ |
$1.01164$ |
Character $\chi_{97}(42, \cdot)$ |
| 1-97-97.45-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.45 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.457$ |
$0$ |
$0.614779$ |
Character $\chi_{97}(45, \cdot)$ |
| 1-97-97.46-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.46 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0787$ |
$0$ |
$1.23108$ |
Character $\chi_{97}(46, \cdot)$ |
| 1-97-97.5-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.5 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.00240$ |
$0$ |
$1.02351$ |
Character $\chi_{97}(5, \cdot)$ |
| 1-97-97.51-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.51 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.471$ |
$0$ |
$2.00733$ |
Character $\chi_{97}(51, \cdot)$ |
| 1-97-97.52-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.52 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.232$ |
$0$ |
$1.70529$ |
Character $\chi_{97}(52, \cdot)$ |
| 1-97-97.55-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.55 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.371$ |
$0$ |
$0.721856$ |
Character $\chi_{97}(55, \cdot)$ |
| 1-97-97.56-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.56 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.238$ |
$0$ |
$2.20201$ |
Character $\chi_{97}(56, \cdot)$ |
| 1-97-97.57-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.57 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.326$ |
$0$ |
$1.61501$ |
Character $\chi_{97}(57, \cdot)$ |
| 1-97-97.58-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.58 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.468$ |
$0$ |
$2.27308$ |
Character $\chi_{97}(58, \cdot)$ |
| 1-97-97.59-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.59 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.339$ |
$0$ |
$0.459001$ |
Character $\chi_{97}(59, \cdot)$ |
| 1-97-97.60-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.60 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0518$ |
$0$ |
$0.228998$ |
Character $\chi_{97}(60, \cdot)$ |
| 1-97-97.63-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.63 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.110$ |
$0$ |
$1.38690$ |
Character $\chi_{97}(63, \cdot)$ |
| 1-97-97.67-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.67 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0111$ |
$0$ |
$0.585029$ |
Character $\chi_{97}(67, \cdot)$ |
| 1-97-97.68-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.68 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.262$ |
$0$ |
$0.0521444$ |
Character $\chi_{97}(68, \cdot)$ |
| 1-97-97.69-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.69 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.457$ |
$0$ |
$2.94342$ |
Character $\chi_{97}(69, \cdot)$ |
| 1-97-97.7-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.7 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0704$ |
$0$ |
$1.31726$ |
Character $\chi_{97}(7, \cdot)$ |
| 1-97-97.71-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.71 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.149$ |
$0$ |
$1.55061$ |
Character $\chi_{97}(71, \cdot)$ |
| 1-97-97.74-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.74 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.339$ |
$0$ |
$2.86422$ |
Character $\chi_{97}(74, \cdot)$ |
| 1-97-97.76-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.76 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0518$ |
$0$ |
$1.28874$ |
Character $\chi_{97}(76, \cdot)$ |
| 1-97-97.77-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.77 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.110$ |
$0$ |
$0.379268$ |
Character $\chi_{97}(77, \cdot)$ |
| 1-97-97.78-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.78 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.471$ |
$0$ |
$0.106106$ |
Character $\chi_{97}(78, \cdot)$ |
| 1-97-97.80-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.80 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.326$ |
$0$ |
$0.481474$ |
Character $\chi_{97}(80, \cdot)$ |
| 1-97-97.82-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.82 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.473$ |
$0$ |
$2.52874$ |
Character $\chi_{97}(82, \cdot)$ |
| 1-97-97.83-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.83 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.379$ |
$0$ |
$2.43966$ |
Character $\chi_{97}(83, \cdot)$ |
| 1-97-97.84-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.84 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.473$ |
$0$ |
$0.362770$ |
Character $\chi_{97}(84, \cdot)$ |
| 1-97-97.87-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.87 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.324$ |
$0$ |
$0.386501$ |
Character $\chi_{97}(87, \cdot)$ |
| 1-97-97.90-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.90 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.379$ |
$0$ |
$0.685053$ |
Character $\chi_{97}(90, \cdot)$ |
| 1-97-97.92-r1-0-0 |
$10.4$ |
$10.4$ |
$1$ |
$97$ |
97.92 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.468$ |
$0$ |
$0.117080$ |
Character $\chi_{97}(92, \cdot)$ |
