Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-2005-2005.1012-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1012 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.264$ |
$0$ |
$2.05041$ |
Character $\chi_{2005}(1012, \cdot)$ |
1-2005-2005.1013-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1013 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.344$ |
$0$ |
$0.740546$ |
Character $\chi_{2005}(1013, \cdot)$ |
1-2005-2005.1018-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1018 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.392$ |
$0$ |
$1.47675$ |
Character $\chi_{2005}(1018, \cdot)$ |
1-2005-2005.1024-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1024 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.140$ |
$0$ |
$0.833160$ |
Character $\chi_{2005}(1024, \cdot)$ |
1-2005-2005.1032-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1032 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.286$ |
$0$ |
$0.944704$ |
Character $\chi_{2005}(1032, \cdot)$ |
1-2005-2005.1033-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1033 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.385$ |
$0$ |
$0.372094$ |
Character $\chi_{2005}(1033, \cdot)$ |
1-2005-2005.1034-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1034 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.110$ |
$0$ |
$0.782301$ |
Character $\chi_{2005}(1034, \cdot)$ |
1-2005-2005.1038-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1038 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.241$ |
$0$ |
$0.239370$ |
Character $\chi_{2005}(1038, \cdot)$ |
1-2005-2005.1039-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1039 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.440$ |
$0$ |
$1.36451$ |
Character $\chi_{2005}(1039, \cdot)$ |
1-2005-2005.1042-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1042 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.369$ |
$0$ |
$1.14520$ |
Character $\chi_{2005}(1042, \cdot)$ |
1-2005-2005.1044-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1044 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.499$ |
$0$ |
$0.353826$ |
Character $\chi_{2005}(1044, \cdot)$ |
1-2005-2005.1048-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1048 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0576$ |
$0$ |
$1.18423$ |
Character $\chi_{2005}(1048, \cdot)$ |
1-2005-2005.1049-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1049 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.295$ |
$0$ |
$0.897944$ |
Character $\chi_{2005}(1049, \cdot)$ |
1-2005-2005.1053-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1053 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.208$ |
$0$ |
$0.965240$ |
Character $\chi_{2005}(1053, \cdot)$ |
1-2005-2005.1054-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1054 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.112$ |
$0$ |
$1.23411$ |
Character $\chi_{2005}(1054, \cdot)$ |
1-2005-2005.1059-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1059 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.130$ |
$0$ |
$0.503723$ |
Character $\chi_{2005}(1059, \cdot)$ |
1-2005-2005.1062-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1062 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.329$ |
$0$ |
$1.39273$ |
Character $\chi_{2005}(1062, \cdot)$ |
1-2005-2005.1067-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1067 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.248$ |
$0$ |
$0.129833$ |
Character $\chi_{2005}(1067, \cdot)$ |
1-2005-2005.1068-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1068 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.183$ |
$0$ |
$0.708013$ |
Character $\chi_{2005}(1068, \cdot)$ |
1-2005-2005.107-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.107 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.463$ |
$0$ |
$0.00840092$ |
Character $\chi_{2005}(107, \cdot)$ |
1-2005-2005.1072-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1072 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.208$ |
$0$ |
$1.02712$ |
Character $\chi_{2005}(1072, \cdot)$ |
1-2005-2005.1073-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1073 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0900$ |
$0$ |
$0.690592$ |
Character $\chi_{2005}(1073, \cdot)$ |
1-2005-2005.108-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.108 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.206$ |
$0$ |
$0.560635$ |
Character $\chi_{2005}(108, \cdot)$ |
1-2005-2005.1083-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1083 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.101$ |
$0$ |
$1.23162$ |
Character $\chi_{2005}(1083, \cdot)$ |
1-2005-2005.1088-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1088 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.248$ |
$0$ |
$1.29880$ |
Character $\chi_{2005}(1088, \cdot)$ |
1-2005-2005.1089-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1089 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.172$ |
$0$ |
$0.917233$ |
Character $\chi_{2005}(1089, \cdot)$ |
1-2005-2005.109-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.109 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0683$ |
$0$ |
$0.427423$ |
Character $\chi_{2005}(109, \cdot)$ |
1-2005-2005.1094-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1094 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.359$ |
$0$ |
$1.43900$ |
Character $\chi_{2005}(1094, \cdot)$ |
1-2005-2005.1097-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1097 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.370$ |
$0$ |
$0.325401$ |
Character $\chi_{2005}(1097, \cdot)$ |
1-2005-2005.1098-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1098 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0544$ |
$0$ |
$1.38979$ |
Character $\chi_{2005}(1098, \cdot)$ |
1-2005-2005.1102-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1102 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.183$ |
$0$ |
$1.46215$ |
Character $\chi_{2005}(1102, \cdot)$ |
1-2005-2005.1104-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1104 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.408$ |
$0$ |
$0.968751$ |
Character $\chi_{2005}(1104, \cdot)$ |
1-2005-2005.1107-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1107 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.283$ |
$0$ |
$0.410097$ |
Character $\chi_{2005}(1107, \cdot)$ |
1-2005-2005.1108-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1108 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.458$ |
$0$ |
$1.06175$ |
Character $\chi_{2005}(1108, \cdot)$ |
1-2005-2005.1109-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1109 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.263$ |
$0$ |
$0.682796$ |
Character $\chi_{2005}(1109, \cdot)$ |
1-2005-2005.1112-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1112 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.410$ |
$0$ |
$1.73448$ |
Character $\chi_{2005}(1112, \cdot)$ |
1-2005-2005.1114-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1114 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.413$ |
$0$ |
$1.19974$ |
Character $\chi_{2005}(1114, \cdot)$ |
1-2005-2005.1118-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1118 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0271$ |
$0$ |
$1.08576$ |
Character $\chi_{2005}(1118, \cdot)$ |
1-2005-2005.1127-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1127 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.390$ |
$0$ |
$0.903230$ |
Character $\chi_{2005}(1127, \cdot)$ |
1-2005-2005.1128-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1128 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.101$ |
$0$ |
$1.50810$ |
Character $\chi_{2005}(1128, \cdot)$ |
1-2005-2005.1132-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1132 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0736$ |
$0$ |
$0.745276$ |
Character $\chi_{2005}(1132, \cdot)$ |
1-2005-2005.1134-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1134 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.230$ |
$0$ |
$0.0648153$ |
Character $\chi_{2005}(1134, \cdot)$ |
1-2005-2005.1137-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1137 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.363$ |
$0$ |
$0.398416$ |
Character $\chi_{2005}(1137, \cdot)$ |
1-2005-2005.1138-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1138 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.281$ |
$0$ |
$0.175096$ |
Character $\chi_{2005}(1138, \cdot)$ |
1-2005-2005.1139-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1139 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.263$ |
$0$ |
$0.314325$ |
Character $\chi_{2005}(1139, \cdot)$ |
1-2005-2005.114-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.114 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.263$ |
$0$ |
$1.07157$ |
Character $\chi_{2005}(114, \cdot)$ |
1-2005-2005.1142-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1142 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0231$ |
$0$ |
$1.25419$ |
Character $\chi_{2005}(1142, \cdot)$ |
1-2005-2005.1143-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1143 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.347$ |
$0$ |
$1.24035$ |
Character $\chi_{2005}(1143, \cdot)$ |
1-2005-2005.1154-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1154 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.104$ |
$0$ |
$0.565892$ |
Character $\chi_{2005}(1154, \cdot)$ |
1-2005-2005.1157-r0-0-0 |
$9.31$ |
$9.31$ |
$1$ |
$5 \cdot 401$ |
2005.1157 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0920$ |
$0$ |
$1.08507$ |
Character $\chi_{2005}(1157, \cdot)$ |