| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-4004-4004.1007-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1007 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.469$ |
$0$ |
$0.440568$ |
Character $\chi_{4004}(1007, \cdot)$ |
| 1-4004-4004.103-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.103 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.416$ |
$0$ |
$0.249909$ |
Character $\chi_{4004}(103, \cdot)$ |
| 1-4004-4004.1031-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1031 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.126$ |
$0$ |
$0.628322$ |
Character $\chi_{4004}(1031, \cdot)$ |
| 1-4004-4004.1039-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1039 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.337$ |
$0$ |
$0.667700$ |
Character $\chi_{4004}(1039, \cdot)$ |
| 1-4004-4004.1055-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1055 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.190$ |
$0$ |
$0.688292$ |
Character $\chi_{4004}(1055, \cdot)$ |
| 1-4004-4004.1059-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1059 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0668$ |
$0$ |
$0.931748$ |
Character $\chi_{4004}(1059, \cdot)$ |
| 1-4004-4004.107-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.107 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.330$ |
$0$ |
$0.0375313$ |
Character $\chi_{4004}(107, \cdot)$ |
| 1-4004-4004.1075-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1075 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.391$ |
$0$ |
$0.862766$ |
Character $\chi_{4004}(1075, \cdot)$ |
| 1-4004-4004.1083-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1083 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0412$ |
$0$ |
$0.450018$ |
Character $\chi_{4004}(1083, \cdot)$ |
| 1-4004-4004.1087-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1087 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.153$ |
$0$ |
$0.778891$ |
Character $\chi_{4004}(1087, \cdot)$ |
| 1-4004-4004.1103-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1103 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.274$ |
$0$ |
$0.767787$ |
Character $\chi_{4004}(1103, \cdot)$ |
| 1-4004-4004.1139-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1139 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.136$ |
$0$ |
$0.834645$ |
Character $\chi_{4004}(1139, \cdot)$ |
| 1-4004-4004.1143-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1143 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0934$ |
$0$ |
$1.10057$ |
Character $\chi_{4004}(1143, \cdot)$ |
| 1-4004-4004.1147-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1147 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.227$ |
$0$ |
$0.679532$ |
Character $\chi_{4004}(1147, \cdot)$ |
| 1-4004-4004.1151-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1151 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.170$ |
$0$ |
$0.875744$ |
Character $\chi_{4004}(1151, \cdot)$ |
| 1-4004-4004.1159-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1159 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.160$ |
$0$ |
$0.561317$ |
Character $\chi_{4004}(1159, \cdot)$ |
| 1-4004-4004.1187-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1187 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.325$ |
$0$ |
$0.0760935$ |
Character $\chi_{4004}(1187, \cdot)$ |
| 1-4004-4004.1207-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1207 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.304$ |
$0$ |
$0.820746$ |
Character $\chi_{4004}(1207, \cdot)$ |
| 1-4004-4004.1215-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1215 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.126$ |
$0$ |
$1.17764$ |
Character $\chi_{4004}(1215, \cdot)$ |
| 1-4004-4004.1271-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1271 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.441$ |
$0$ |
$0.0497628$ |
Character $\chi_{4004}(1271, \cdot)$ |
| 1-4004-4004.1283-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1283 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.143$ |
$0$ |
$0.362514$ |
Character $\chi_{4004}(1283, \cdot)$ |
| 1-4004-4004.1291-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1291 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0426$ |
$0$ |
$0.996952$ |
Character $\chi_{4004}(1291, \cdot)$ |
| 1-4004-4004.1315-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1315 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.282$ |
$0$ |
$1.15686$ |
Character $\chi_{4004}(1315, \cdot)$ |
| 1-4004-4004.1319-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1319 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0973$ |
$0$ |
$0.555935$ |
Character $\chi_{4004}(1319, \cdot)$ |
| 1-4004-4004.1335-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1335 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.292$ |
$0$ |
$0.502633$ |
Character $\chi_{4004}(1335, \cdot)$ |
| 1-4004-4004.135-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.135 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.213$ |
$0$ |
$0.194318$ |
Character $\chi_{4004}(135, \cdot)$ |
| 1-4004-4004.1355-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1355 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.170$ |
$0$ |
$0.391472$ |
Character $\chi_{4004}(1355, \cdot)$ |
| 1-4004-4004.1363-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1363 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0973$ |
$0$ |
$0.498103$ |
Character $\chi_{4004}(1363, \cdot)$ |
| 1-4004-4004.1367-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1367 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.181$ |
$0$ |
$0.584046$ |
Character $\chi_{4004}(1367, \cdot)$ |
| 1-4004-4004.1371-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1371 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.216$ |
$0$ |
$0.837367$ |
Character $\chi_{4004}(1371, \cdot)$ |
| 1-4004-4004.1399-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1399 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.249$ |
$0$ |
$0.553188$ |
Character $\chi_{4004}(1399, \cdot)$ |
| 1-4004-4004.1411-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1411 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0264$ |
$0$ |
$0.592914$ |
Character $\chi_{4004}(1411, \cdot)$ |
| 1-4004-4004.1423-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1423 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.274$ |
$0$ |
$1.13308$ |
Character $\chi_{4004}(1423, \cdot)$ |
| 1-4004-4004.1455-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1455 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.103$ |
$0$ |
$0.306070$ |
Character $\chi_{4004}(1455, \cdot)$ |
| 1-4004-4004.1467-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1467 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0668$ |
$0$ |
$0.378510$ |
Character $\chi_{4004}(1467, \cdot)$ |
| 1-4004-4004.1487-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1487 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.136$ |
$0$ |
$0.446259$ |
Character $\chi_{4004}(1487, \cdot)$ |
| 1-4004-4004.1503-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1503 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.178$ |
$0$ |
$0.577376$ |
Character $\chi_{4004}(1503, \cdot)$ |
| 1-4004-4004.1511-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1511 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0201$ |
$0$ |
$0.793740$ |
Character $\chi_{4004}(1511, \cdot)$ |
| 1-4004-4004.1515-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1515 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.447$ |
$0$ |
$0.204865$ |
Character $\chi_{4004}(1515, \cdot)$ |
| 1-4004-4004.1523-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1523 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.121$ |
$0$ |
$0.563857$ |
Character $\chi_{4004}(1523, \cdot)$ |
| 1-4004-4004.1539-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1539 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.296$ |
$0$ |
$1.25879$ |
Character $\chi_{4004}(1539, \cdot)$ |
| 1-4004-4004.1543-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1543 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.459$ |
$0$ |
$0.254082$ |
Character $\chi_{4004}(1543, \cdot)$ |
| 1-4004-4004.159-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.159 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.498$ |
$0$ |
$0.364721$ |
Character $\chi_{4004}(159, \cdot)$ |
| 1-4004-4004.1615-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1615 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.213$ |
$0$ |
$0.797187$ |
Character $\chi_{4004}(1615, \cdot)$ |
| 1-4004-4004.1623-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1623 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.376$ |
$0$ |
$0.833685$ |
Character $\chi_{4004}(1623, \cdot)$ |
| 1-4004-4004.1627-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1627 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.150$ |
$0$ |
$0.631332$ |
Character $\chi_{4004}(1627, \cdot)$ |
| 1-4004-4004.163-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.163 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.121$ |
$0$ |
$0.407873$ |
Character $\chi_{4004}(163, \cdot)$ |
| 1-4004-4004.1635-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1635 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.126$ |
$0$ |
$0.869921$ |
Character $\chi_{4004}(1635, \cdot)$ |
| 1-4004-4004.1647-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1647 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.421$ |
$0$ |
$0.426990$ |
Character $\chi_{4004}(1647, \cdot)$ |
| 1-4004-4004.1655-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$2^{2} \cdot 7 \cdot 11 \cdot 13$ |
4004.1655 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0815$ |
$0$ |
$0.845989$ |
Character $\chi_{4004}(1655, \cdot)$ |
