| 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 $\chi_{21}(20, \cdot)$ |
| 2-23-23.22-c0-0-0 |
$0.107$ |
$0.0114$ |
$2$ |
$23$ |
23.22 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$5.11568$ |
Artin representation 2.23.3t2.b Artin representation 2.23.3t2.b.a Modular form 23.1.b.a Modular form 23.1.b.a.22.1 |
| 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 $\chi_{24}(11, \cdot)$ |
| 2-31-31.30-c0-0-0 |
$0.124$ |
$0.0154$ |
$2$ |
$31$ |
31.30 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$4.16621$ |
Artin representation 2.31.3t2.b Artin representation 2.31.3t2.b.a Modular form 31.1.b.a Modular form 31.1.b.a.30.1 |
| 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 $\chi_{29}(28, \cdot)$ |
| 2-39-39.38-c0-0-0 |
$0.139$ |
$0.0194$ |
$2$ |
$3 \cdot 13$ |
39.38 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$4.39582$ |
Artin representation 2.39.4t3.a Artin representation 2.39.4t3.a.a Modular form 39.1.d.a Modular form 39.1.d.a.38.1 |
| 2-44-11.10-c0-0-0 |
$0.148$ |
$0.0219$ |
$2$ |
$2^{2} \cdot 11$ |
11.10 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$4.04199$ |
Artin representation 2.44.3t2.b Artin representation 2.44.3t2.b.a Modular form 44.1.d.a Modular form 44.1.d.a.21.1 |
| 4-47e2-1.1-c0e2-0-0 |
$0.153$ |
$0.000550$ |
$4$ |
$47^{2}$ |
1.1 |
|
$0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$2.98743$ |
Artin representation 2.47.5t2.a Modular form 47.1.b.a |
| 1-33-33.32-r0-0-0 |
$0.153$ |
$0.153$ |
$1$ |
$3 \cdot 11$ |
33.32 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.99695$ |
Character $\chi_{33}(32, \cdot)$ |
| 4-52e2-1.1-c0e2-0-0 |
$0.161$ |
$0.000673$ |
$4$ |
$2^{4} \cdot 13^{2}$ |
1.1 |
|
$0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$3.05212$ |
Artin representation 2.52.6t5.b Modular form 52.1.j.a |
| 2-55-55.54-c0-0-0 |
$0.165$ |
$0.0274$ |
$2$ |
$5 \cdot 11$ |
55.54 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$3.81577$ |
Artin representation 2.55.4t3.c Artin representation 2.55.4t3.c.a Modular form 55.1.d.a Modular form 55.1.d.a.54.1 |
| 2-56-56.13-c0-0-0 |
$0.167$ |
$0.0279$ |
$2$ |
$2^{3} \cdot 7$ |
56.13 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$3.00942$ |
Artin representation 2.56.4t3.b Artin representation 2.56.4t3.b.a Modular form 56.1.h.a Modular form 56.1.h.a.13.1 |
| 4-57e2-1.1-c0e2-0-0 |
$0.168$ |
$0.000809$ |
$4$ |
$3^{2} \cdot 19^{2}$ |
1.1 |
|
$0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$3.30843$ |
Artin representation 2.57.6t5.a Modular form 57.1.h.a |
| 2-59-59.58-c0-0-0 |
$0.171$ |
$0.0294$ |
$2$ |
$59$ |
59.58 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$3.43180$ |
Artin representation 2.59.3t2.a Artin representation 2.59.3t2.a.a Modular form 59.1.b.a Modular form 59.1.b.a.58.1 |
| 1-37-37.36-r0-0-0 |
$0.171$ |
$0.171$ |
$1$ |
$37$ |
37.36 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.05722$ |
Character $\chi_{37}(36, \cdot)$ |
| 2-63-7.6-c0-0-0 |
$0.177$ |
$0.0314$ |
$2$ |
$3^{2} \cdot 7$ |
7.6 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$3.51328$ |
Artin representation 2.63.4t3.a Artin representation 2.63.4t3.a.a Modular form 63.1.d.a Modular form 63.1.d.a.55.1 |
| 2-68-68.67-c0-0-0 |
$0.184$ |
$0.0339$ |
$2$ |
$2^{2} \cdot 17$ |
68.67 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$2.75562$ |
Artin representation 2.68.4t3.a Artin representation 2.68.4t3.a.a Modular form 68.1.d.a Modular form 68.1.d.a.67.1 |
| 4-68e2-1.1-c0e2-0-0 |
$0.184$ |
$0.00115$ |
$4$ |
$2^{4} \cdot 17^{2}$ |
1.1 |
|
$0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$3.03544$ |
Artin representation 2.68.8t17.a Modular form 68.1.f.a |
| 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 $\chi_{40}(29, \cdot)$ |
| 6-71e3-71.70-c0e3-0-0 |
$0.188$ |
$4.44\times 10^{-5}$ |
$6$ |
$71^{3}$ |
71.70 |
|
$0.0, 0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$2.19448$ |
Artin representation 2.71.7t2.a Modular form 71.1.b.a |
| 4-72e2-1.1-c0e2-0-0 |
$0.189$ |
$0.00129$ |
$4$ |
$2^{6} \cdot 3^{4}$ |
1.1 |
|
$0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$2.13460$ |
Artin representation 2.72.6t5.b Modular form 72.1.p.a |
| 1-41-41.40-r0-0-0 |
$0.190$ |
$0.190$ |
$1$ |
$41$ |
41.40 |
$0$ |
|
0 |
✓ |
$1$ |
$0$ |
$2.47534$ |
Character $\chi_{41}(40, \cdot)$ |
| 2-76-19.18-c0-0-0 |
$0.194$ |
$0.0379$ |
$2$ |
$2^{2} \cdot 19$ |
19.18 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$3.27623$ |
Artin representation 2.76.3t2.a Artin representation 2.76.3t2.a.a Modular form 76.1.c.a Modular form 76.1.c.a.37.1 |
| 8-77e4-1.1-c0e4-0-0 |
$0.196$ |
$2.18\times 10^{-6}$ |
$8$ |
$7^{4} \cdot 11^{4}$ |
1.1 |
|
$0.0, 0.0, 0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$2.35278$ |
Modular form 77.1.j.a |
| 4-79e2-1.1-c0e2-0-0 |
$0.198$ |
$0.00155$ |
$4$ |
$79^{2}$ |
1.1 |
|
$0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$2.25042$ |
Artin representation 2.79.5t2.a Modular form 79.1.b.a |
| 2-80-20.19-c0-0-0 |
$0.199$ |
$0.0399$ |
$2$ |
$2^{4} \cdot 5$ |
20.19 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$3.18874$ |
Artin representation 2.80.4t3.a Artin representation 2.80.4t3.a.a Modular form 80.1.h.a Modular form 80.1.h.a.79.1 |
| 2-83-83.82-c0-0-0 |
$0.203$ |
$0.0414$ |
$2$ |
$83$ |
83.82 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$2.91606$ |
Artin representation 2.83.3t2.a Artin representation 2.83.3t2.a.a Modular form 83.1.b.a Modular form 83.1.b.a.82.1 |
| 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 $\chi_{44}(43, \cdot)$ |
| 4-84e2-1.1-c0e2-0-0 |
$0.204$ |
$0.00175$ |
$4$ |
$2^{4} \cdot 3^{2} \cdot 7^{2}$ |
1.1 |
|
$0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$2.56497$ |
Artin representation 2.84.6t5.b Modular form 84.1.p.a |
| 2-87-87.86-c0-0-0 |
$0.208$ |
$0.0434$ |
$2$ |
$3 \cdot 29$ |
87.86 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$2.68368$ |
Artin representation 2.87.3t2.a Artin representation 2.87.3t2.a.a Modular form 87.1.d.a Modular form 87.1.d.a.86.1 |
| 2-87-87.86-c0-0-1 |
$0.208$ |
$0.0434$ |
$2$ |
$3 \cdot 29$ |
87.86 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$3.53215$ |
Artin representation 2.87.6t3.b Artin representation 2.87.6t3.b.a Modular form 87.1.d.b Modular form 87.1.d.b.86.1 |
| 8-88e4-1.1-c0e4-0-0 |
$0.209$ |
$3.72\times 10^{-6}$ |
$8$ |
$2^{12} \cdot 11^{4}$ |
1.1 |
|
$0.0, 0.0, 0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$1.80284$ |
Modular form 88.1.l.a |
| 8-93e4-1.1-c0e4-0-0 |
$0.215$ |
$4.64\times 10^{-6}$ |
$8$ |
$3^{4} \cdot 31^{4}$ |
1.1 |
|
$0.0, 0.0, 0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$2.26669$ |
Modular form 93.1.l.a |
| 2-95-95.94-c0-0-1 |
$0.217$ |
$0.0474$ |
$2$ |
$5 \cdot 19$ |
95.94 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$2.87350$ |
Artin representation 2.95.4t3.c Artin representation 2.95.4t3.c.a Modular form 95.1.d.a Modular form 95.1.d.a.94.1 |
| 4-95e2-1.1-c0e2-0-0 |
$0.217$ |
$0.00224$ |
$4$ |
$5^{2} \cdot 19^{2}$ |
1.1 |
|
$0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$2.51518$ |
Artin representation 2.95.8t6.a Modular form 95.1.d.b |
| 4-99e2-1.1-c0e2-0-0 |
$0.222$ |
$0.00244$ |
$4$ |
$3^{4} \cdot 11^{2}$ |
1.1 |
|
$0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$2.19749$ |
Artin representation 2.99.6t5.a Modular form 99.1.h.a |
| 8-10e8-1.1-c0e4-0-0 |
$0.223$ |
$6.20\times 10^{-6}$ |
$8$ |
$2^{8} \cdot 5^{8}$ |
1.1 |
|
$0.0, 0.0, 0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$2.16566$ |
Modular form 100.1.j.a |
| 4-103e2-1.1-c0e2-0-0 |
$0.226$ |
$0.00264$ |
$4$ |
$103^{2}$ |
1.1 |
|
$0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$2.00946$ |
Artin representation 2.103.5t2.a Modular form 103.1.b.a |
| 2-104-104.51-c0-0-0 |
$0.227$ |
$0.0519$ |
$2$ |
$2^{3} \cdot 13$ |
104.51 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$2.09431$ |
Artin representation 2.104.6t3.a Artin representation 2.104.6t3.a.a Modular form 104.1.h.a Modular form 104.1.h.a.51.1 |
| 2-104-104.51-c0-0-1 |
$0.227$ |
$0.0519$ |
$2$ |
$2^{3} \cdot 13$ |
104.51 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$3.31991$ |
Artin representation 2.104.3t2.b Artin representation 2.104.3t2.b.a Modular form 104.1.h.b Modular form 104.1.h.b.51.1 |
| 2-107-107.106-c0-0-0 |
$0.231$ |
$0.0533$ |
$2$ |
$107$ |
107.106 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$2.61608$ |
Artin representation 2.107.3t2.a Artin representation 2.107.3t2.a.a Modular form 107.1.b.a Modular form 107.1.b.a.106.1 |
| 2-108-3.2-c0-0-0 |
$0.232$ |
$0.0538$ |
$2$ |
$2^{2} \cdot 3^{3}$ |
3.2 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$2.82161$ |
Artin representation 2.108.3t2.b Artin representation 2.108.3t2.b.a Modular form 108.1.c.a Modular form 108.1.c.a.53.1 |
| 2-111-111.110-c0-0-1 |
$0.235$ |
$0.0553$ |
$2$ |
$3 \cdot 37$ |
111.110 |
|
$0.0$ |
0 |
✓ |
$1$ |
$0$ |
$3.07636$ |
Artin representation 2.111.4t3.a Artin representation 2.111.4t3.a.a Modular form 111.1.d.a Modular form 111.1.d.a.110.1 |
