| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-4009-4009.10-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.10 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.388$ |
$0$ |
$0.451141$ |
Character $\chi_{4009}(10, \cdot)$ |
| 1-4009-4009.100-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.100 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.285$ |
$0$ |
$0.829611$ |
Character $\chi_{4009}(100, \cdot)$ |
| 1-4009-4009.1000-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1000 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.129$ |
$0$ |
$1.04221$ |
Character $\chi_{4009}(1000, \cdot)$ |
| 1-4009-4009.1001-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1001 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.246$ |
$0$ |
$0.804275$ |
Character $\chi_{4009}(1001, \cdot)$ |
| 1-4009-4009.1002-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1002 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.189$ |
$0$ |
$1.30780$ |
Character $\chi_{4009}(1002, \cdot)$ |
| 1-4009-4009.1003-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1003 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.216$ |
$0$ |
$1.05993$ |
Character $\chi_{4009}(1003, \cdot)$ |
| 1-4009-4009.1005-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1005 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.269$ |
$0$ |
$0.877472$ |
Character $\chi_{4009}(1005, \cdot)$ |
| 1-4009-4009.1006-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1006 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0148$ |
$0$ |
$0.694140$ |
Character $\chi_{4009}(1006, \cdot)$ |
| 1-4009-4009.1009-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1009 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.441$ |
$0$ |
$0.408385$ |
Character $\chi_{4009}(1009, \cdot)$ |
| 1-4009-4009.101-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.101 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.314$ |
$0$ |
$0.632617$ |
Character $\chi_{4009}(101, \cdot)$ |
| 1-4009-4009.1010-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1010 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.347$ |
$0$ |
$0.0244750$ |
Character $\chi_{4009}(1010, \cdot)$ |
| 1-4009-4009.1013-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1013 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0730$ |
$0$ |
$2.20258$ |
Character $\chi_{4009}(1013, \cdot)$ |
| 1-4009-4009.1014-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1014 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.197$ |
$0$ |
$0.695915$ |
Character $\chi_{4009}(1014, \cdot)$ |
| 1-4009-4009.1016-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1016 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.291$ |
$0$ |
$0.616534$ |
Character $\chi_{4009}(1016, \cdot)$ |
| 1-4009-4009.1019-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1019 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0941$ |
$0$ |
$0.815731$ |
Character $\chi_{4009}(1019, \cdot)$ |
| 1-4009-4009.1021-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1021 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.249$ |
$0$ |
$0.794043$ |
Character $\chi_{4009}(1021, \cdot)$ |
| 1-4009-4009.1023-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1023 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0573$ |
$0$ |
$0.407060$ |
Character $\chi_{4009}(1023, \cdot)$ |
| 1-4009-4009.1024-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1024 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.110$ |
$0$ |
$0.708695$ |
Character $\chi_{4009}(1024, \cdot)$ |
| 1-4009-4009.1025-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1025 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.146$ |
$0$ |
$1.15519$ |
Character $\chi_{4009}(1025, \cdot)$ |
| 1-4009-4009.1032-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1032 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.249$ |
$0$ |
$1.04560$ |
Character $\chi_{4009}(1032, \cdot)$ |
| 1-4009-4009.1033-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1033 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0115$ |
$0$ |
$0.489769$ |
Character $\chi_{4009}(1033, \cdot)$ |
| 1-4009-4009.1034-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1034 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.202$ |
$0$ |
$0.667429$ |
Character $\chi_{4009}(1034, \cdot)$ |
| 1-4009-4009.1036-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1036 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.349$ |
$0$ |
$0.886644$ |
Character $\chi_{4009}(1036, \cdot)$ |
| 1-4009-4009.1037-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1037 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0372$ |
$0$ |
$0.944939$ |
Character $\chi_{4009}(1037, \cdot)$ |
| 1-4009-4009.1039-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1039 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.447$ |
$0$ |
$0.729990$ |
Character $\chi_{4009}(1039, \cdot)$ |
| 1-4009-4009.1041-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1041 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0128$ |
$0$ |
$1.12775$ |
Character $\chi_{4009}(1041, \cdot)$ |
| 1-4009-4009.1043-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1043 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.457$ |
$0$ |
$1.06775$ |
Character $\chi_{4009}(1043, \cdot)$ |
| 1-4009-4009.1044-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1044 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.460$ |
$0$ |
$0.442213$ |
Character $\chi_{4009}(1044, \cdot)$ |
| 1-4009-4009.1052-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1052 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.220$ |
$0$ |
$1.17408$ |
Character $\chi_{4009}(1052, \cdot)$ |
| 1-4009-4009.1057-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1057 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.358$ |
$0$ |
$0.900177$ |
Character $\chi_{4009}(1057, \cdot)$ |
| 1-4009-4009.1058-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1058 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.484$ |
$0$ |
$0.798571$ |
Character $\chi_{4009}(1058, \cdot)$ |
| 1-4009-4009.1061-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1061 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.186$ |
$0$ |
$0.333619$ |
Character $\chi_{4009}(1061, \cdot)$ |
| 1-4009-4009.1063-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1063 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.129$ |
$0$ |
$1.01567$ |
Character $\chi_{4009}(1063, \cdot)$ |
| 1-4009-4009.1067-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1067 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.440$ |
$0$ |
$0.499625$ |
Character $\chi_{4009}(1067, \cdot)$ |
| 1-4009-4009.1068-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1068 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.481$ |
$0$ |
$0.264593$ |
Character $\chi_{4009}(1068, \cdot)$ |
| 1-4009-4009.1069-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1069 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0308$ |
$0$ |
$0.428603$ |
Character $\chi_{4009}(1069, \cdot)$ |
| 1-4009-4009.1071-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1071 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.377$ |
$0$ |
$1.09818$ |
Character $\chi_{4009}(1071, \cdot)$ |
| 1-4009-4009.1072-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1072 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.442$ |
$0$ |
$1.45639$ |
Character $\chi_{4009}(1072, \cdot)$ |
| 1-4009-4009.1075-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1075 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.186$ |
$0$ |
$0.185413$ |
Character $\chi_{4009}(1075, \cdot)$ |
| 1-4009-4009.1077-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1077 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0960$ |
$0$ |
$1.32933$ |
Character $\chi_{4009}(1077, \cdot)$ |
| 1-4009-4009.1078-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1078 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0686$ |
$0$ |
$0.357624$ |
Character $\chi_{4009}(1078, \cdot)$ |
| 1-4009-4009.108-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.108 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0256$ |
$0$ |
$0.830465$ |
Character $\chi_{4009}(108, \cdot)$ |
| 1-4009-4009.1080-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1080 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0850$ |
$0$ |
$0.863943$ |
Character $\chi_{4009}(1080, \cdot)$ |
| 1-4009-4009.1082-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1082 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.327$ |
$0$ |
$1.33833$ |
Character $\chi_{4009}(1082, \cdot)$ |
| 1-4009-4009.1086-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1086 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.00755$ |
$0$ |
$0.563734$ |
Character $\chi_{4009}(1086, \cdot)$ |
| 1-4009-4009.1089-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1089 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.162$ |
$0$ |
$1.39334$ |
Character $\chi_{4009}(1089, \cdot)$ |
| 1-4009-4009.1092-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1092 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.108$ |
$0$ |
$1.35529$ |
Character $\chi_{4009}(1092, \cdot)$ |
| 1-4009-4009.1093-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1093 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0533$ |
$0$ |
$1.05342$ |
Character $\chi_{4009}(1093, \cdot)$ |
| 1-4009-4009.1095-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1095 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.324$ |
$0$ |
$1.35958$ |
Character $\chi_{4009}(1095, \cdot)$ |
| 1-4009-4009.1096-r0-0-0 |
$18.6$ |
$18.6$ |
$1$ |
$19 \cdot 211$ |
4009.1096 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.362$ |
$0$ |
$1.23013$ |
Character $\chi_{4009}(1096, \cdot)$ |
