Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-4003-4003.10-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.10 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.236$ |
$0$ |
$1.27712$ |
Character $\chi_{4003}(10, \cdot)$ |
1-4003-4003.100-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.100 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0670$ |
$0$ |
$1.04959$ |
Character $\chi_{4003}(100, \cdot)$ |
1-4003-4003.1000-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1000 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.385$ |
$0$ |
$1.96360$ |
Character $\chi_{4003}(1000, \cdot)$ |
1-4003-4003.1001-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1001 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0993$ |
$0$ |
$1.08942$ |
Character $\chi_{4003}(1001, \cdot)$ |
1-4003-4003.1003-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1003 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.289$ |
$0$ |
$1.21267$ |
Character $\chi_{4003}(1003, \cdot)$ |
1-4003-4003.1004-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1004 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.143$ |
$0$ |
$1.04772$ |
Character $\chi_{4003}(1004, \cdot)$ |
1-4003-4003.1005-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1005 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.335$ |
$0$ |
$0.382643$ |
Character $\chi_{4003}(1005, \cdot)$ |
1-4003-4003.1007-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1007 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.482$ |
$0$ |
$0.241401$ |
Character $\chi_{4003}(1007, \cdot)$ |
1-4003-4003.1008-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1008 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.279$ |
$0$ |
$0.666768$ |
Character $\chi_{4003}(1008, \cdot)$ |
1-4003-4003.101-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.101 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.249$ |
$0$ |
$0.403460$ |
Character $\chi_{4003}(101, \cdot)$ |
1-4003-4003.1010-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1010 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.317$ |
$0$ |
$0.745996$ |
Character $\chi_{4003}(1010, \cdot)$ |
1-4003-4003.1013-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1013 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.349$ |
$0$ |
$1.30116$ |
Character $\chi_{4003}(1013, \cdot)$ |
1-4003-4003.1014-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1014 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0952$ |
$0$ |
$0.851689$ |
Character $\chi_{4003}(1014, \cdot)$ |
1-4003-4003.1018-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1018 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0995$ |
$0$ |
$0.0687748$ |
Character $\chi_{4003}(1018, \cdot)$ |
1-4003-4003.1019-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1019 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.286$ |
$0$ |
$1.53009$ |
Character $\chi_{4003}(1019, \cdot)$ |
1-4003-4003.102-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.102 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.419$ |
$0$ |
$0.0642335$ |
Character $\chi_{4003}(102, \cdot)$ |
1-4003-4003.1020-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1020 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.480$ |
$0$ |
$0.352501$ |
Character $\chi_{4003}(1020, \cdot)$ |
1-4003-4003.1021-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1021 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.114$ |
$0$ |
$0.948431$ |
Character $\chi_{4003}(1021, \cdot)$ |
1-4003-4003.1023-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1023 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0781$ |
$0$ |
$0.378106$ |
Character $\chi_{4003}(1023, \cdot)$ |
1-4003-4003.1024-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1024 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.217$ |
$0$ |
$1.37051$ |
Character $\chi_{4003}(1024, \cdot)$ |
1-4003-4003.1026-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1026 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.259$ |
$0$ |
$0.0611993$ |
Character $\chi_{4003}(1026, \cdot)$ |
1-4003-4003.1027-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1027 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.453$ |
$0$ |
$0.502421$ |
Character $\chi_{4003}(1027, \cdot)$ |
1-4003-4003.103-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.103 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0194$ |
$0$ |
$1.11859$ |
Character $\chi_{4003}(103, \cdot)$ |
1-4003-4003.1030-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1030 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.167$ |
$0$ |
$0.536228$ |
Character $\chi_{4003}(1030, \cdot)$ |
1-4003-4003.1031-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1031 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.221$ |
$0$ |
$0.0101034$ |
Character $\chi_{4003}(1031, \cdot)$ |
1-4003-4003.1033-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1033 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.418$ |
$0$ |
$1.33258$ |
Character $\chi_{4003}(1033, \cdot)$ |
1-4003-4003.1034-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1034 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.312$ |
$0$ |
$0.748869$ |
Character $\chi_{4003}(1034, \cdot)$ |
1-4003-4003.1035-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1035 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.364$ |
$0$ |
$0.0576454$ |
Character $\chi_{4003}(1035, \cdot)$ |
1-4003-4003.1036-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1036 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.419$ |
$0$ |
$0.496352$ |
Character $\chi_{4003}(1036, \cdot)$ |
1-4003-4003.1038-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1038 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0919$ |
$0$ |
$0.802394$ |
Character $\chi_{4003}(1038, \cdot)$ |
1-4003-4003.1039-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1039 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.388$ |
$0$ |
$1.40577$ |
Character $\chi_{4003}(1039, \cdot)$ |
1-4003-4003.1042-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1042 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0606$ |
$0$ |
$0.155770$ |
Character $\chi_{4003}(1042, \cdot)$ |
1-4003-4003.1043-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1043 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.198$ |
$0$ |
$0.789299$ |
Character $\chi_{4003}(1043, \cdot)$ |
1-4003-4003.1044-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1044 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.350$ |
$0$ |
$0.499389$ |
Character $\chi_{4003}(1044, \cdot)$ |
1-4003-4003.1049-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1049 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.111$ |
$0$ |
$0.371986$ |
Character $\chi_{4003}(1049, \cdot)$ |
1-4003-4003.105-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.105 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0194$ |
$0$ |
$0.842338$ |
Character $\chi_{4003}(105, \cdot)$ |
1-4003-4003.1050-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1050 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.154$ |
$0$ |
$1.10249$ |
Character $\chi_{4003}(1050, \cdot)$ |
1-4003-4003.1052-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1052 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.479$ |
$0$ |
$1.39160$ |
Character $\chi_{4003}(1052, \cdot)$ |
1-4003-4003.1053-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1053 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.371$ |
$0$ |
$0.118243$ |
Character $\chi_{4003}(1053, \cdot)$ |
1-4003-4003.1054-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1054 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.347$ |
$0$ |
$0.603355$ |
Character $\chi_{4003}(1054, \cdot)$ |
1-4003-4003.1056-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1056 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0279$ |
$0$ |
$1.13759$ |
Character $\chi_{4003}(1056, \cdot)$ |
1-4003-4003.1057-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1057 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.130$ |
$0$ |
$1.09625$ |
Character $\chi_{4003}(1057, \cdot)$ |
1-4003-4003.1061-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1061 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.451$ |
$0$ |
$0.553131$ |
Character $\chi_{4003}(1061, \cdot)$ |
1-4003-4003.1066-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1066 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0278$ |
$0$ |
$0.684866$ |
Character $\chi_{4003}(1066, \cdot)$ |
1-4003-4003.1071-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1071 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.125$ |
$0$ |
$1.05392$ |
Character $\chi_{4003}(1071, \cdot)$ |
1-4003-4003.1072-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1072 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.131$ |
$0$ |
$0.491639$ |
Character $\chi_{4003}(1072, \cdot)$ |
1-4003-4003.1073-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1073 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.487$ |
$0$ |
$0.204929$ |
Character $\chi_{4003}(1073, \cdot)$ |
1-4003-4003.1077-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1077 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0167$ |
$0$ |
$1.16481$ |
Character $\chi_{4003}(1077, \cdot)$ |
1-4003-4003.1079-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1079 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.264$ |
$0$ |
$0.429067$ |
Character $\chi_{4003}(1079, \cdot)$ |
1-4003-4003.1081-r0-0-0 |
$18.5$ |
$18.5$ |
$1$ |
$4003$ |
4003.1081 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.222$ |
$0$ |
$0.761741$ |
Character $\chi_{4003}(1081, \cdot)$ |