Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-4024-4024.1003-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1003 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.429$ |
$0$ |
$1.14601$ |
Character $\chi_{4024}(1003, \cdot)$ |
1-4024-4024.1011-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1011 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.183$ |
$0$ |
$0.212760$ |
Character $\chi_{4024}(1011, \cdot)$ |
1-4024-4024.1013-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1013 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.109$ |
$0$ |
$0.576276$ |
Character $\chi_{4024}(1013, \cdot)$ |
1-4024-4024.1029-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1029 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.204$ |
$0$ |
$0.922786$ |
Character $\chi_{4024}(1029, \cdot)$ |
1-4024-4024.1035-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1035 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.136$ |
$0$ |
$1.06830$ |
Character $\chi_{4024}(1035, \cdot)$ |
1-4024-4024.1043-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1043 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.455$ |
$0$ |
$1.50010$ |
Character $\chi_{4024}(1043, \cdot)$ |
1-4024-4024.1045-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1045 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.104$ |
$0$ |
$0.782381$ |
Character $\chi_{4024}(1045, \cdot)$ |
1-4024-4024.1051-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1051 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.135$ |
$0$ |
$0.730469$ |
Character $\chi_{4024}(1051, \cdot)$ |
1-4024-4024.1053-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1053 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0512$ |
$0$ |
$1.30232$ |
Character $\chi_{4024}(1053, \cdot)$ |
1-4024-4024.1059-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1059 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.126$ |
$0$ |
$1.11383$ |
Character $\chi_{4024}(1059, \cdot)$ |
1-4024-4024.1069-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1069 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.208$ |
$0$ |
$0.0552314$ |
Character $\chi_{4024}(1069, \cdot)$ |
1-4024-4024.107-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.107 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.193$ |
$0$ |
$0.532233$ |
Character $\chi_{4024}(107, \cdot)$ |
1-4024-4024.1085-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1085 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.400$ |
$0$ |
$1.50132$ |
Character $\chi_{4024}(1085, \cdot)$ |
1-4024-4024.1099-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1099 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.478$ |
$0$ |
$1.28095$ |
Character $\chi_{4024}(1099, \cdot)$ |
1-4024-4024.1101-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1101 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.173$ |
$0$ |
$0.437760$ |
Character $\chi_{4024}(1101, \cdot)$ |
1-4024-4024.1107-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1107 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.152$ |
$0$ |
$0.796537$ |
Character $\chi_{4024}(1107, \cdot)$ |
1-4024-4024.1115-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1115 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.000776$ |
$0$ |
$0.712247$ |
Character $\chi_{4024}(1115, \cdot)$ |
1-4024-4024.1131-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1131 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.137$ |
$0$ |
$1.07240$ |
Character $\chi_{4024}(1131, \cdot)$ |
1-4024-4024.1139-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1139 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.456$ |
$0$ |
$1.29303$ |
Character $\chi_{4024}(1139, \cdot)$ |
1-4024-4024.1149-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1149 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00388$ |
$0$ |
$0.678084$ |
Character $\chi_{4024}(1149, \cdot)$ |
1-4024-4024.115-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.115 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.170$ |
$0$ |
$0.548346$ |
Character $\chi_{4024}(115, \cdot)$ |
1-4024-4024.1155-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1155 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.147$ |
$0$ |
$0.970997$ |
Character $\chi_{4024}(1155, \cdot)$ |
1-4024-4024.1163-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1163 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.478$ |
$0$ |
$0.213910$ |
Character $\chi_{4024}(1163, \cdot)$ |
1-4024-4024.117-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.117 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0764$ |
$0$ |
$0.709149$ |
Character $\chi_{4024}(117, \cdot)$ |
1-4024-4024.1171-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1171 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.412$ |
$0$ |
$0.510838$ |
Character $\chi_{4024}(1171, \cdot)$ |
1-4024-4024.1181-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1181 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.204$ |
$0$ |
$0.823281$ |
Character $\chi_{4024}(1181, \cdot)$ |
1-4024-4024.1187-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1187 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.386$ |
$0$ |
$0.100566$ |
Character $\chi_{4024}(1187, \cdot)$ |
1-4024-4024.1189-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1189 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.321$ |
$0$ |
$0.915175$ |
Character $\chi_{4024}(1189, \cdot)$ |
1-4024-4024.1205-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1205 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.300$ |
$0$ |
$1.14487$ |
Character $\chi_{4024}(1205, \cdot)$ |
1-4024-4024.1213-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1213 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.184$ |
$0$ |
$1.06185$ |
Character $\chi_{4024}(1213, \cdot)$ |
1-4024-4024.1219-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1219 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.283$ |
$0$ |
$0.673589$ |
Character $\chi_{4024}(1219, \cdot)$ |
1-4024-4024.1227-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1227 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.238$ |
$0$ |
$1.00952$ |
Character $\chi_{4024}(1227, \cdot)$ |
1-4024-4024.1229-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1229 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.189$ |
$0$ |
$0.778212$ |
Character $\chi_{4024}(1229, \cdot)$ |
1-4024-4024.123-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.123 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.324$ |
$0$ |
$0.752636$ |
Character $\chi_{4024}(123, \cdot)$ |
1-4024-4024.1237-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1237 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.149$ |
$0$ |
$0.922320$ |
Character $\chi_{4024}(1237, \cdot)$ |
1-4024-4024.1251-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1251 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0336$ |
$0$ |
$0.976011$ |
Character $\chi_{4024}(1251, \cdot)$ |
1-4024-4024.1261-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1261 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.117$ |
$0$ |
$0.704857$ |
Character $\chi_{4024}(1261, \cdot)$ |
1-4024-4024.1267-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1267 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.279$ |
$0$ |
$1.11024$ |
Character $\chi_{4024}(1267, \cdot)$ |
1-4024-4024.1269-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1269 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0838$ |
$0$ |
$0.463741$ |
Character $\chi_{4024}(1269, \cdot)$ |
1-4024-4024.1275-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1275 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0475$ |
$0$ |
$0.418775$ |
Character $\chi_{4024}(1275, \cdot)$ |
1-4024-4024.1277-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1277 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.125$ |
$0$ |
$0.571657$ |
Character $\chi_{4024}(1277, \cdot)$ |
1-4024-4024.1283-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1283 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.436$ |
$0$ |
$0.294655$ |
Character $\chi_{4024}(1283, \cdot)$ |
1-4024-4024.13-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.13 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0508$ |
$0$ |
$1.04949$ |
Character $\chi_{4024}(13, \cdot)$ |
1-4024-4024.1315-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1315 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0742$ |
$0$ |
$0.963243$ |
Character $\chi_{4024}(1315, \cdot)$ |
1-4024-4024.1339-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1339 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0907$ |
$0$ |
$0.598845$ |
Character $\chi_{4024}(1339, \cdot)$ |
1-4024-4024.1347-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1347 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.336$ |
$0$ |
$0.366978$ |
Character $\chi_{4024}(1347, \cdot)$ |
1-4024-4024.1349-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1349 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0683$ |
$0$ |
$1.01653$ |
Character $\chi_{4024}(1349, \cdot)$ |
1-4024-4024.1355-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1355 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00378$ |
$0$ |
$0.845196$ |
Character $\chi_{4024}(1355, \cdot)$ |
1-4024-4024.1357-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1357 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.103$ |
$0$ |
$0.854759$ |
Character $\chi_{4024}(1357, \cdot)$ |
1-4024-4024.1363-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$2^{3} \cdot 503$ |
4024.1363 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.362$ |
$0$ |
$0.759163$ |
Character $\chi_{4024}(1363, \cdot)$ |