| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
$\epsilon$ |
$r$ |
First zero |
Origin |
| 1-1-1.1-r0-0-0 |
$0.00464$ |
$0.00464$ |
$1$ |
$1$ |
1.1 |
|
|
0 |
✓ |
$1$ |
$0$ |
$14.1347$ |
Artin representation 1.1.1t1.a Artin representation 1.1.1t1.a.a Character $\chi_{1}(1, \cdot)$ Number field \(\Q\) |
| 1-5-5.4-r0-0-0 |
$0.0232$ |
$0.0232$ |
$1$ |
$5$ |
5.4 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$6.64845$ |
Character $\chi_{5}(4, \cdot)$ |
| 1-2e3-8.5-r0-0-0 |
$0.0371$ |
$0.0371$ |
$1$ |
$2^{3}$ |
8.5 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$4.89997$ |
Character $\chi_{8}(5, \cdot)$ |
| 1-12-12.11-r0-0-0 |
$0.0557$ |
$0.0557$ |
$1$ |
$2^{2} \cdot 3$ |
12.11 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$3.80462$ |
Character $\chi_{12}(11, \cdot)$ |
| 1-13-13.12-r0-0-0 |
$0.0603$ |
$0.0603$ |
$1$ |
$13$ |
13.12 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$3.11934$ |
Character $\chi_{13}(12, \cdot)$ |
| 1-17-17.16-r0-0-0 |
$0.0789$ |
$0.0789$ |
$1$ |
$17$ |
17.16 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$3.72814$ |
Character $\chi_{17}(16, \cdot)$ |
| 1-21-21.20-r0-0-0 |
$0.0975$ |
$0.0975$ |
$1$ |
$3 \cdot 7$ |
21.20 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.31518$ |
Character $\chi_{21}(20, \cdot)$ |
| 1-24-24.11-r0-0-0 |
$0.111$ |
$0.111$ |
$1$ |
$2^{3} \cdot 3$ |
24.11 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.68865$ |
Character $\chi_{24}(11, \cdot)$ |
| 1-28-28.27-r0-0-0 |
$0.130$ |
$0.130$ |
$1$ |
$2^{2} \cdot 7$ |
28.27 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.77728$ |
Character $\chi_{28}(27, \cdot)$ |
| 1-29-29.28-r0-0-0 |
$0.134$ |
$0.134$ |
$1$ |
$29$ |
29.28 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.79380$ |
Character $\chi_{29}(28, \cdot)$ |
| 1-33-33.32-r0-0-0 |
$0.153$ |
$0.153$ |
$1$ |
$3 \cdot 11$ |
33.32 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.99695$ |
Character $\chi_{33}(32, \cdot)$ |
| 1-37-37.36-r0-0-0 |
$0.171$ |
$0.171$ |
$1$ |
$37$ |
37.36 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.05722$ |
Character $\chi_{37}(36, \cdot)$ |
| 1-40-40.29-r0-0-0 |
$0.185$ |
$0.185$ |
$1$ |
$2^{3} \cdot 5$ |
40.29 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.48821$ |
Character $\chi_{40}(29, \cdot)$ |
| 1-41-41.40-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.40 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.47534$ |
Character $\chi_{41}(40, \cdot)$ |
| 1-44-44.43-r0-0-0 |
$0.204$ |
$0.204$ |
$1$ |
$2^{2} \cdot 11$ |
44.43 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.86993$ |
Character $\chi_{44}(43, \cdot)$ |
| 1-53-53.52-r0-0-0 |
$0.246$ |
$0.246$ |
$1$ |
$53$ |
53.52 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.28711$ |
Character $\chi_{53}(52, \cdot)$ |
| 1-56-56.27-r0-0-0 |
$0.260$ |
$0.260$ |
$1$ |
$2^{3} \cdot 7$ |
56.27 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.70166$ |
Character $\chi_{56}(27, \cdot)$ |
| 1-57-57.56-r0-0-0 |
$0.264$ |
$0.264$ |
$1$ |
$3 \cdot 19$ |
57.56 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.40313$ |
Character $\chi_{57}(56, \cdot)$ |
| 1-60-60.59-r0-0-0 |
$0.278$ |
$0.278$ |
$1$ |
$2^{2} \cdot 3 \cdot 5$ |
60.59 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.88060$ |
Character $\chi_{60}(59, \cdot)$ |
| 1-61-61.60-r0-0-0 |
$0.283$ |
$0.283$ |
$1$ |
$61$ |
61.60 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.94459$ |
Character $\chi_{61}(60, \cdot)$ |
| 1-65-65.64-r0-0-0 |
$0.301$ |
$0.301$ |
$1$ |
$5 \cdot 13$ |
65.64 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.04804$ |
Character $\chi_{65}(64, \cdot)$ |
| 1-69-69.68-r0-0-0 |
$0.320$ |
$0.320$ |
$1$ |
$3 \cdot 23$ |
69.68 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.57186$ |
Character $\chi_{69}(68, \cdot)$ |
| 1-3-3.2-r1-0-0 |
$0.322$ |
$0.322$ |
$1$ |
$3$ |
3.2 |
$1$ |
|
0 |
✓ |
$1$ |
$0$ |
$8.03973$ |
Character $\chi_{3}(2, \cdot)$ |
| 1-73-73.72-r0-0-0 |
$0.339$ |
$0.339$ |
$1$ |
$73$ |
73.72 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.59808$ |
Character $\chi_{73}(72, \cdot)$ |
| 1-76-76.75-r0-0-0 |
$0.352$ |
$0.352$ |
$1$ |
$2^{2} \cdot 19$ |
76.75 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.14993$ |
Character $\chi_{76}(75, \cdot)$ |
| 1-77-77.76-r0-0-0 |
$0.357$ |
$0.357$ |
$1$ |
$7 \cdot 11$ |
77.76 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.07518$ |
Character $\chi_{77}(76, \cdot)$ |
| 1-85-85.84-r0-0-0 |
$0.394$ |
$0.394$ |
$1$ |
$5 \cdot 17$ |
85.84 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.75250$ |
Character $\chi_{85}(84, \cdot)$ |
| 1-88-88.43-r0-0-0 |
$0.408$ |
$0.408$ |
$1$ |
$2^{3} \cdot 11$ |
88.43 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.86469$ |
Character $\chi_{88}(43, \cdot)$ |
| 1-89-89.88-r0-0-0 |
$0.413$ |
$0.413$ |
$1$ |
$89$ |
89.88 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.90110$ |
Character $\chi_{89}(88, \cdot)$ |
| 1-92-92.91-r0-0-0 |
$0.427$ |
$0.427$ |
$1$ |
$2^{2} \cdot 23$ |
92.91 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.28645$ |
Character $\chi_{92}(91, \cdot)$ |
| 1-2e2-4.3-r1-0-0 |
$0.429$ |
$0.429$ |
$1$ |
$2^{2}$ |
4.3 |
$1$ |
|
0 |
✓ |
$1$ |
$0$ |
$6.02094$ |
Character $\chi_{4}(3, \cdot)$ |
| 1-93-93.92-r0-0-0 |
$0.431$ |
$0.431$ |
$1$ |
$3 \cdot 31$ |
93.92 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.30110$ |
Character $\chi_{93}(92, \cdot)$ |
| 1-97-97.96-r0-0-0 |
$0.450$ |
$0.450$ |
$1$ |
$97$ |
97.96 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.31457$ |
Character $\chi_{97}(96, \cdot)$ |
| 1-101-101.100-r0-0-0 |
$0.469$ |
$0.469$ |
$1$ |
$101$ |
101.100 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.16426$ |
Character $\chi_{101}(100, \cdot)$ |
| 1-104-104.77-r0-0-0 |
$0.482$ |
$0.482$ |
$1$ |
$2^{3} \cdot 13$ |
104.77 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.37058$ |
Character $\chi_{104}(77, \cdot)$ |
| 1-105-105.104-r0-0-0 |
$0.487$ |
$0.487$ |
$1$ |
$3 \cdot 5 \cdot 7$ |
105.104 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.04884$ |
Character $\chi_{105}(104, \cdot)$ |
| 1-109-109.108-r0-0-0 |
$0.506$ |
$0.506$ |
$1$ |
$109$ |
109.108 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.87221$ |
Character $\chi_{109}(108, \cdot)$ |
| 1-113-113.112-r0-0-0 |
$0.524$ |
$0.524$ |
$1$ |
$113$ |
113.112 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.62199$ |
Character $\chi_{113}(112, \cdot)$ |
| 1-120-120.59-r0-0-0 |
$0.557$ |
$0.557$ |
$1$ |
$2^{3} \cdot 3 \cdot 5$ |
120.59 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.53751$ |
Character $\chi_{120}(59, \cdot)$ |
| 1-124-124.123-r0-0-0 |
$0.575$ |
$0.575$ |
$1$ |
$2^{2} \cdot 31$ |
124.123 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.88831$ |
Character $\chi_{124}(123, \cdot)$ |
| 1-129-129.128-r0-0-0 |
$0.599$ |
$0.599$ |
$1$ |
$3 \cdot 43$ |
129.128 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.03656$ |
Character $\chi_{129}(128, \cdot)$ |
| 1-133-133.132-r0-0-0 |
$0.617$ |
$0.617$ |
$1$ |
$7 \cdot 19$ |
133.132 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.39047$ |
Character $\chi_{133}(132, \cdot)$ |
| 1-136-136.101-r0-0-0 |
$0.631$ |
$0.631$ |
$1$ |
$2^{3} \cdot 17$ |
136.101 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.84328$ |
Character $\chi_{136}(101, \cdot)$ |
| 1-137-137.136-r0-0-0 |
$0.636$ |
$0.636$ |
$1$ |
$137$ |
137.136 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.52794$ |
Character $\chi_{137}(136, \cdot)$ |
| 1-140-140.139-r0-0-0 |
$0.650$ |
$0.650$ |
$1$ |
$2^{2} \cdot 5 \cdot 7$ |
140.139 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.17436$ |
Character $\chi_{140}(139, \cdot)$ |
| 1-141-141.140-r0-0-0 |
$0.654$ |
$0.654$ |
$1$ |
$3 \cdot 47$ |
141.140 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.47969$ |
Character $\chi_{141}(140, \cdot)$ |
| 1-145-145.144-r0-0-0 |
$0.673$ |
$0.673$ |
$1$ |
$5 \cdot 29$ |
145.144 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.20800$ |
Character $\chi_{145}(144, \cdot)$ |
| 1-149-149.148-r0-0-0 |
$0.691$ |
$0.691$ |
$1$ |
$149$ |
149.148 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.19943$ |
Character $\chi_{149}(148, \cdot)$ |
| 1-152-152.75-r0-0-0 |
$0.705$ |
$0.705$ |
$1$ |
$2^{3} \cdot 19$ |
152.75 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$0.982619$ |
Character $\chi_{152}(75, \cdot)$ |
| 1-156-156.155-r0-0-0 |
$0.724$ |
$0.724$ |
$1$ |
$2^{2} \cdot 3 \cdot 13$ |
156.155 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$1.58858$ |
Character $\chi_{156}(155, \cdot)$ |
