Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-97-97.11-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.11 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.255$ |
$0$ |
$1.00588$ |
Character $\chi_{97}(11, \cdot)$ |
1-97-97.12-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.12 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.494$ |
$0$ |
$0.614708$ |
Character $\chi_{97}(12, \cdot)$ |
1-97-97.16-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.16 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.380$ |
$0$ |
$3.12417$ |
Character $\chi_{97}(16, \cdot)$ |
1-97-97.18-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.18 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.257$ |
$0$ |
$1.42424$ |
Character $\chi_{97}(18, \cdot)$ |
1-97-97.2-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.2 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.00824$ |
$0$ |
$2.12416$ |
Character $\chi_{97}(2, \cdot)$ |
1-97-97.22-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.22 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.283$ |
$0$ |
$1.72473$ |
Character $\chi_{97}(22, \cdot)$ |
1-97-97.24-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.24 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.223$ |
$0$ |
$1.19009$ |
Character $\chi_{97}(24, \cdot)$ |
1-97-97.25-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.25 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.320$ |
$0$ |
$0.815984$ |
Character $\chi_{97}(25, \cdot)$ |
1-97-97.27-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.27 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.257$ |
$0$ |
$2.05025$ |
Character $\chi_{97}(27, \cdot)$ |
1-97-97.3-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.3 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.296$ |
$0$ |
$1.32500$ |
Character $\chi_{97}(3, \cdot)$ |
1-97-97.31-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.31 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0531$ |
$0$ |
$0.939280$ |
Character $\chi_{97}(31, \cdot)$ |
1-97-97.32-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.32 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0965$ |
$0$ |
$1.82407$ |
Character $\chi_{97}(32, \cdot)$ |
1-97-97.33-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.33 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.275$ |
$0$ |
$0.443882$ |
Character $\chi_{97}(33, \cdot)$ |
1-97-97.35-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.35 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.347$ |
$0$ |
$3.06372$ |
Character $\chi_{97}(35, \cdot)$ |
1-97-97.36-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.36 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0283$ |
$0$ |
$1.80589$ |
Character $\chi_{97}(36, \cdot)$ |
1-97-97.4-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.4 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.00985$ |
$0$ |
$1.52524$ |
Character $\chi_{97}(4, \cdot)$ |
1-97-97.43-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.43 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0431$ |
$0$ |
$1.76809$ |
Character $\chi_{97}(43, \cdot)$ |
1-97-97.44-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.44 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.114$ |
$0$ |
$0.848343$ |
Character $\chi_{97}(44, \cdot)$ |
1-97-97.47-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.47 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0590$ |
$0$ |
$1.72763$ |
Character $\chi_{97}(47, \cdot)$ |
1-97-97.48-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.48 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0849$ |
$0$ |
$2.76356$ |
Character $\chi_{97}(48, \cdot)$ |
1-97-97.49-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.49 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00824$ |
$0$ |
$2.11608$ |
Character $\chi_{97}(49, \cdot)$ |
1-97-97.50-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.50 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.275$ |
$0$ |
$2.55717$ |
Character $\chi_{97}(50, \cdot)$ |
1-97-97.53-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.53 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.255$ |
$0$ |
$2.12441$ |
Character $\chi_{97}(53, \cdot)$ |
1-97-97.54-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.54 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.190$ |
$0$ |
$0.909891$ |
Character $\chi_{97}(54, \cdot)$ |
1-97-97.6-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.6 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.314$ |
$0$ |
$1.55680$ |
Character $\chi_{97}(6, \cdot)$ |
1-97-97.61-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.61 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.347$ |
$0$ |
$0.335174$ |
Character $\chi_{97}(61, \cdot)$ |
1-97-97.62-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.62 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0283$ |
$0$ |
$0.971914$ |
Character $\chi_{97}(62, \cdot)$ |
1-97-97.64-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.64 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0590$ |
$0$ |
$1.48616$ |
Character $\chi_{97}(64, \cdot)$ |
1-97-97.65-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.65 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.296$ |
$0$ |
$2.72799$ |
Character $\chi_{97}(65, \cdot)$ |
1-97-97.66-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.66 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.320$ |
$0$ |
$1.80055$ |
Character $\chi_{97}(66, \cdot)$ |
1-97-97.70-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.70 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.267$ |
$0$ |
$1.94227$ |
Character $\chi_{97}(70, \cdot)$ |
1-97-97.72-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.72 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0531$ |
$0$ |
$1.25939$ |
Character $\chi_{97}(72, \cdot)$ |
1-97-97.73-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.73 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00985$ |
$0$ |
$1.91993$ |
Character $\chi_{97}(73, \cdot)$ |
1-97-97.75-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.75 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.283$ |
$0$ |
$0.549415$ |
Character $\chi_{97}(75, \cdot)$ |
1-97-97.79-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.79 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.267$ |
$0$ |
$1.11957$ |
Character $\chi_{97}(79, \cdot)$ |
1-97-97.8-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.8 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.314$ |
$0$ |
$2.61451$ |
Character $\chi_{97}(8, \cdot)$ |
1-97-97.81-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.81 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.314$ |
$0$ |
$2.82093$ |
Character $\chi_{97}(81, \cdot)$ |
1-97-97.85-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.85 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.314$ |
$0$ |
$1.41679$ |
Character $\chi_{97}(85, \cdot)$ |
1-97-97.86-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.86 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.114$ |
$0$ |
$1.51642$ |
Character $\chi_{97}(86, \cdot)$ |
1-97-97.88-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.88 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0431$ |
$0$ |
$1.69076$ |
Character $\chi_{97}(88, \cdot)$ |
1-97-97.89-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.89 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.494$ |
$0$ |
$3.34184$ |
Character $\chi_{97}(89, \cdot)$ |
1-97-97.9-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.9 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.190$ |
$0$ |
$2.27661$ |
Character $\chi_{97}(9, \cdot)$ |
1-97-97.91-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.91 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.380$ |
$0$ |
$1.28162$ |
Character $\chi_{97}(91, \cdot)$ |
1-97-97.93-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.93 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.223$ |
$0$ |
$2.39900$ |
Character $\chi_{97}(93, \cdot)$ |
1-97-97.94-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.94 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0965$ |
$0$ |
$2.14206$ |
Character $\chi_{97}(94, \cdot)$ |
1-97-97.95-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.95 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0849$ |
$0$ |
$1.89999$ |
Character $\chi_{97}(95, \cdot)$ |
1-97-97.96-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.96 |
$0$ |
|
0 |
✓ |
✓ |
✓ |
✓ |
$0$ |
$0$ |
$2.31457$ |
Character $\chi_{97}(96, \cdot)$ |
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 $\chi_{97}(14, \cdot)$ |