| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-1147-1147.10-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.10 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.189$ |
$0$ |
$0.222172$ |
Character $\chi_{1147}(10, \cdot)$ |
| 1-1147-1147.100-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.100 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.143$ |
$0$ |
$1.06242$ |
Character $\chi_{1147}(100, \cdot)$ |
| 1-1147-1147.1002-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1002 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.133$ |
$0$ |
$1.63967$ |
Character $\chi_{1147}(1002, \cdot)$ |
| 1-1147-1147.1004-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1004 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0272$ |
$0$ |
$0.958270$ |
Character $\chi_{1147}(1004, \cdot)$ |
| 1-1147-1147.1005-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1005 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.199$ |
$0$ |
$0.762506$ |
Character $\chi_{1147}(1005, \cdot)$ |
| 1-1147-1147.1006-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1006 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0847$ |
$0$ |
$1.03549$ |
Character $\chi_{1147}(1006, \cdot)$ |
| 1-1147-1147.1007-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1007 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.498$ |
$0$ |
$0.685123$ |
Character $\chi_{1147}(1007, \cdot)$ |
| 1-1147-1147.1008-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1008 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.102$ |
$0$ |
$0.915305$ |
Character $\chi_{1147}(1008, \cdot)$ |
| 1-1147-1147.101-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.101 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.157$ |
$0$ |
$1.08551$ |
Character $\chi_{1147}(101, \cdot)$ |
| 1-1147-1147.1010-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1010 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.344$ |
$0$ |
$0.632555$ |
Character $\chi_{1147}(1010, \cdot)$ |
| 1-1147-1147.1011-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1011 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.436$ |
$0$ |
$1.41524$ |
Character $\chi_{1147}(1011, \cdot)$ |
| 1-1147-1147.1013-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1013 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0142$ |
$0$ |
$0.651289$ |
Character $\chi_{1147}(1013, \cdot)$ |
| 1-1147-1147.1014-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1014 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.273$ |
$0$ |
$0.887570$ |
Character $\chi_{1147}(1014, \cdot)$ |
| 1-1147-1147.1016-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1016 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.422$ |
$0$ |
$1.30271$ |
Character $\chi_{1147}(1016, \cdot)$ |
| 1-1147-1147.1018-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1018 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.291$ |
$0$ |
$0.757871$ |
Character $\chi_{1147}(1018, \cdot)$ |
| 1-1147-1147.1019-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1019 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.319$ |
$0$ |
$1.81724$ |
Character $\chi_{1147}(1019, \cdot)$ |
| 1-1147-1147.102-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.102 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0125$ |
$0$ |
$1.24630$ |
Character $\chi_{1147}(102, \cdot)$ |
| 1-1147-1147.1020-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1020 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.334$ |
$0$ |
$0.615444$ |
Character $\chi_{1147}(1020, \cdot)$ |
| 1-1147-1147.1021-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1021 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.176$ |
$0$ |
$0.970588$ |
Character $\chi_{1147}(1021, \cdot)$ |
| 1-1147-1147.1022-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1022 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.328$ |
$0$ |
$0.806963$ |
Character $\chi_{1147}(1022, \cdot)$ |
| 1-1147-1147.1025-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1025 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0924$ |
$0$ |
$0.592736$ |
Character $\chi_{1147}(1025, \cdot)$ |
| 1-1147-1147.1027-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1027 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.290$ |
$0$ |
$1.21283$ |
Character $\chi_{1147}(1027, \cdot)$ |
| 1-1147-1147.1032-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1032 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.466$ |
$0$ |
$1.31078$ |
Character $\chi_{1147}(1032, \cdot)$ |
| 1-1147-1147.1033-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1033 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.121$ |
$0$ |
$0.439849$ |
Character $\chi_{1147}(1033, \cdot)$ |
| 1-1147-1147.1034-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1034 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.307$ |
$0$ |
$0.340746$ |
Character $\chi_{1147}(1034, \cdot)$ |
| 1-1147-1147.1038-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1038 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.360$ |
$0$ |
$0.601854$ |
Character $\chi_{1147}(1038, \cdot)$ |
| 1-1147-1147.1039-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1039 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0364$ |
$0$ |
$1.12352$ |
Character $\chi_{1147}(1039, \cdot)$ |
| 1-1147-1147.1043-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1043 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0447$ |
$0$ |
$0.636824$ |
Character $\chi_{1147}(1043, \cdot)$ |
| 1-1147-1147.1044-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1044 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.118$ |
$0$ |
$0.129341$ |
Character $\chi_{1147}(1044, \cdot)$ |
| 1-1147-1147.1048-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1048 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.275$ |
$0$ |
$1.28655$ |
Character $\chi_{1147}(1048, \cdot)$ |
| 1-1147-1147.1049-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1049 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.367$ |
$0$ |
$1.62110$ |
Character $\chi_{1147}(1049, \cdot)$ |
| 1-1147-1147.105-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.105 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.199$ |
$0$ |
$0.907818$ |
Character $\chi_{1147}(105, \cdot)$ |
| 1-1147-1147.1050-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1050 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.210$ |
$0$ |
$1.44145$ |
Character $\chi_{1147}(1050, \cdot)$ |
| 1-1147-1147.1053-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1053 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.114$ |
$0$ |
$0.415643$ |
Character $\chi_{1147}(1053, \cdot)$ |
| 1-1147-1147.106-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.106 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.439$ |
$0$ |
$0.554247$ |
Character $\chi_{1147}(106, \cdot)$ |
| 1-1147-1147.1060-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1060 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0907$ |
$0$ |
$1.62777$ |
Character $\chi_{1147}(1060, \cdot)$ |
| 1-1147-1147.1061-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1061 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.199$ |
$0$ |
$1.62769$ |
Character $\chi_{1147}(1061, \cdot)$ |
| 1-1147-1147.1062-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1062 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.134$ |
$0$ |
$1.40024$ |
Character $\chi_{1147}(1062, \cdot)$ |
| 1-1147-1147.1063-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1063 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.452$ |
$0$ |
$1.60239$ |
Character $\chi_{1147}(1063, \cdot)$ |
| 1-1147-1147.1064-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1064 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.346$ |
$0$ |
$1.74656$ |
Character $\chi_{1147}(1064, \cdot)$ |
| 1-1147-1147.1065-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1065 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.148$ |
$0$ |
$1.43623$ |
Character $\chi_{1147}(1065, \cdot)$ |
| 1-1147-1147.1067-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1067 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0766$ |
$0$ |
$1.63112$ |
Character $\chi_{1147}(1067, \cdot)$ |
| 1-1147-1147.107-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.107 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.220$ |
$0$ |
$2.33761$ |
Character $\chi_{1147}(107, \cdot)$ |
| 1-1147-1147.1070-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1070 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0239$ |
$0$ |
$1.46480$ |
Character $\chi_{1147}(1070, \cdot)$ |
| 1-1147-1147.1071-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1071 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.332$ |
$0$ |
$1.72954$ |
Character $\chi_{1147}(1071, \cdot)$ |
| 1-1147-1147.1072-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1072 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0584$ |
$0$ |
$0.924050$ |
Character $\chi_{1147}(1072, \cdot)$ |
| 1-1147-1147.1075-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1075 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0194$ |
$0$ |
$1.03208$ |
Character $\chi_{1147}(1075, \cdot)$ |
| 1-1147-1147.1078-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1078 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.273$ |
$0$ |
$1.67923$ |
Character $\chi_{1147}(1078, \cdot)$ |
| 1-1147-1147.1081-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1081 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.106$ |
$0$ |
$0.791644$ |
Character $\chi_{1147}(1081, \cdot)$ |
| 1-1147-1147.1082-r0-0-0 |
$5.32$ |
$5.32$ |
$1$ |
$31 \cdot 37$ |
1147.1082 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.200$ |
$0$ |
$1.02366$ |
Character $\chi_{1147}(1082, \cdot)$ |