| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-4005-4005.1003-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1003 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00445$ |
$0$ |
$1.01878$ |
Character $\chi_{4005}(1003, \cdot)$ |
| 1-4005-4005.1012-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1012 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0440$ |
$0$ |
$0.714140$ |
Character $\chi_{4005}(1012, \cdot)$ |
| 1-4005-4005.1013-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1013 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.109$ |
$0$ |
$0.737827$ |
Character $\chi_{4005}(1013, \cdot)$ |
| 1-4005-4005.1024-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1024 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.240$ |
$0$ |
$0.394361$ |
Character $\chi_{4005}(1024, \cdot)$ |
| 1-4005-4005.1028-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1028 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.291$ |
$0$ |
$0.917673$ |
Character $\chi_{4005}(1028, \cdot)$ |
| 1-4005-4005.103-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.103 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.167$ |
$0$ |
$0.587174$ |
Character $\chi_{4005}(103, \cdot)$ |
| 1-4005-4005.1033-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1033 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.335$ |
$0$ |
$0.943926$ |
Character $\chi_{4005}(1033, \cdot)$ |
| 1-4005-4005.104-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.104 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.372$ |
$0$ |
$1.09085$ |
Character $\chi_{4005}(104, \cdot)$ |
| 1-4005-4005.1042-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1042 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.128$ |
$0$ |
$0.666254$ |
Character $\chi_{4005}(1042, \cdot)$ |
| 1-4005-4005.1049-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1049 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.384$ |
$0$ |
$0.0547437$ |
Character $\chi_{4005}(1049, \cdot)$ |
| 1-4005-4005.1058-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1058 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.167$ |
$0$ |
$0.791018$ |
Character $\chi_{4005}(1058, \cdot)$ |
| 1-4005-4005.1067-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1067 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.115$ |
$0$ |
$0.937010$ |
Character $\chi_{4005}(1067, \cdot)$ |
| 1-4005-4005.1073-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1073 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.368$ |
$0$ |
$0.487374$ |
Character $\chi_{4005}(1073, \cdot)$ |
| 1-4005-4005.1084-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1084 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.194$ |
$0$ |
$0.456141$ |
Character $\chi_{4005}(1084, \cdot)$ |
| 1-4005-4005.1087-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1087 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0269$ |
$0$ |
$0.337580$ |
Character $\chi_{4005}(1087, \cdot)$ |
| 1-4005-4005.1094-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1094 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.212$ |
$0$ |
$0.806156$ |
Character $\chi_{4005}(1094, \cdot)$ |
| 1-4005-4005.1109-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1109 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.486$ |
$0$ |
$1.13033$ |
Character $\chi_{4005}(1109, \cdot)$ |
| 1-4005-4005.1112-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1112 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.351$ |
$0$ |
$0.677456$ |
Character $\chi_{4005}(1112, \cdot)$ |
| 1-4005-4005.1118-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1118 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.425$ |
$0$ |
$1.18507$ |
Character $\chi_{4005}(1118, \cdot)$ |
| 1-4005-4005.112-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.112 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0285$ |
$0$ |
$1.13505$ |
Character $\chi_{4005}(112, \cdot)$ |
| 1-4005-4005.1138-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1138 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.453$ |
$0$ |
$0.202367$ |
Character $\chi_{4005}(1138, \cdot)$ |
| 1-4005-4005.1148-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1148 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.287$ |
$0$ |
$0.563635$ |
Character $\chi_{4005}(1148, \cdot)$ |
| 1-4005-4005.1154-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1154 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.191$ |
$0$ |
$0.732593$ |
Character $\chi_{4005}(1154, \cdot)$ |
| 1-4005-4005.1159-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1159 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.204$ |
$0$ |
$1.18807$ |
Character $\chi_{4005}(1159, \cdot)$ |
| 1-4005-4005.1174-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1174 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.177$ |
$0$ |
$0.751379$ |
Character $\chi_{4005}(1174, \cdot)$ |
| 1-4005-4005.1183-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1183 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.374$ |
$0$ |
$1.02454$ |
Character $\chi_{4005}(1183, \cdot)$ |
| 1-4005-4005.1184-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1184 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.437$ |
$0$ |
$0.374710$ |
Character $\chi_{4005}(1184, \cdot)$ |
| 1-4005-4005.119-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.119 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0106$ |
$0$ |
$0.516763$ |
Character $\chi_{4005}(119, \cdot)$ |
| 1-4005-4005.1192-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1192 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0210$ |
$0$ |
$0.633750$ |
Character $\chi_{4005}(1192, \cdot)$ |
| 1-4005-4005.1193-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1193 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.189$ |
$0$ |
$0.988747$ |
Character $\chi_{4005}(1193, \cdot)$ |
| 1-4005-4005.1202-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1202 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.133$ |
$0$ |
$0.590681$ |
Character $\chi_{4005}(1202, \cdot)$ |
| 1-4005-4005.1204-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1204 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0274$ |
$0$ |
$1.12386$ |
Character $\chi_{4005}(1204, \cdot)$ |
| 1-4005-4005.1213-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1213 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.409$ |
$0$ |
$0.443612$ |
Character $\chi_{4005}(1213, \cdot)$ |
| 1-4005-4005.1222-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1222 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.248$ |
$0$ |
$0.344172$ |
Character $\chi_{4005}(1222, \cdot)$ |
| 1-4005-4005.1238-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1238 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.100$ |
$0$ |
$0.835236$ |
Character $\chi_{4005}(1238, \cdot)$ |
| 1-4005-4005.1258-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1258 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0251$ |
$0$ |
$0.730278$ |
Character $\chi_{4005}(1258, \cdot)$ |
| 1-4005-4005.1262-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1262 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0879$ |
$0$ |
$1.03268$ |
Character $\chi_{4005}(1262, \cdot)$ |
| 1-4005-4005.1264-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1264 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0305$ |
$0$ |
$0.458407$ |
Character $\chi_{4005}(1264, \cdot)$ |
| 1-4005-4005.1273-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1273 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.400$ |
$0$ |
$0.479935$ |
Character $\chi_{4005}(1273, \cdot)$ |
| 1-4005-4005.1274-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1274 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.414$ |
$0$ |
$0.510648$ |
Character $\chi_{4005}(1274, \cdot)$ |
| 1-4005-4005.128-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.128 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.143$ |
$0$ |
$0.365541$ |
Character $\chi_{4005}(128, \cdot)$ |
| 1-4005-4005.1289-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1289 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.365$ |
$0$ |
$0.598327$ |
Character $\chi_{4005}(1289, \cdot)$ |
| 1-4005-4005.13-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.13 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.387$ |
$0$ |
$1.19143$ |
Character $\chi_{4005}(13, \cdot)$ |
| 1-4005-4005.1312-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1312 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.00813$ |
$0$ |
$0.521326$ |
Character $\chi_{4005}(1312, \cdot)$ |
| 1-4005-4005.1337-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1337 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0980$ |
$0$ |
$1.08055$ |
Character $\chi_{4005}(1337, \cdot)$ |
| 1-4005-4005.1339-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1339 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.212$ |
$0$ |
$0.564047$ |
Character $\chi_{4005}(1339, \cdot)$ |
| 1-4005-4005.1343-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1343 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.125$ |
$0$ |
$0.912955$ |
Character $\chi_{4005}(1343, \cdot)$ |
| 1-4005-4005.1348-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1348 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0574$ |
$0$ |
$0.431364$ |
Character $\chi_{4005}(1348, \cdot)$ |
| 1-4005-4005.1352-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1352 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.104$ |
$0$ |
$0.698871$ |
Character $\chi_{4005}(1352, \cdot)$ |
| 1-4005-4005.1363-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$3^{2} \cdot 5 \cdot 89$ |
4005.1363 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.423$ |
$0$ |
$0.0663035$ |
Character $\chi_{4005}(1363, \cdot)$ |
