Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-4033-4033.1728-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1728 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.300$ |
$0$ |
$1.33899$ |
Dirichlet character \(\chi_{4033} (1728, \cdot) \) |
1-4033-4033.1729-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1729 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0565$ |
$0$ |
$0.961580$ |
Dirichlet character \(\chi_{4033} (1729, \cdot) \) |
1-4033-4033.173-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.173 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0331$ |
$0$ |
$1.11457$ |
Dirichlet character \(\chi_{4033} (173, \cdot) \) |
1-4033-4033.1731-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1731 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.423$ |
$0$ |
$0.746025$ |
Dirichlet character \(\chi_{4033} (1731, \cdot) \) |
1-4033-4033.1732-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1732 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.196$ |
$0$ |
$0.716371$ |
Dirichlet character \(\chi_{4033} (1732, \cdot) \) |
1-4033-4033.1733-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1733 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.396$ |
$0$ |
$0.370237$ |
Dirichlet character \(\chi_{4033} (1733, \cdot) \) |
1-4033-4033.1734-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1734 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0456$ |
$0$ |
$0.167761$ |
Dirichlet character \(\chi_{4033} (1734, \cdot) \) |
1-4033-4033.1735-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1735 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0408$ |
$0$ |
$1.06111$ |
Dirichlet character \(\chi_{4033} (1735, \cdot) \) |
1-4033-4033.1743-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1743 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.290$ |
$0$ |
$0.127434$ |
Dirichlet character \(\chi_{4033} (1743, \cdot) \) |
1-4033-4033.100-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.100 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.246$ |
$0$ |
$0.606859$ |
Dirichlet character \(\chi_{4033} (100, \cdot) \) |
1-4033-4033.1002-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1002 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.371$ |
$0$ |
$1.41569$ |
Dirichlet character \(\chi_{4033} (1002, \cdot) \) |
1-4033-4033.1003-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1003 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.374$ |
$0$ |
$0.385138$ |
Dirichlet character \(\chi_{4033} (1003, \cdot) \) |
1-4033-4033.1004-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1004 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.280$ |
$0$ |
$0.314648$ |
Dirichlet character \(\chi_{4033} (1004, \cdot) \) |
1-4033-4033.1005-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1005 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.165$ |
$0$ |
$0.946773$ |
Dirichlet character \(\chi_{4033} (1005, \cdot) \) |
1-4033-4033.1006-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1006 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.241$ |
$0$ |
$0.491946$ |
Dirichlet character \(\chi_{4033} (1006, \cdot) \) |
1-4033-4033.1008-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1008 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0540$ |
$0$ |
$1.12088$ |
Dirichlet character \(\chi_{4033} (1008, \cdot) \) |
1-4033-4033.1009-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1009 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.440$ |
$0$ |
$0.0749194$ |
Dirichlet character \(\chi_{4033} (1009, \cdot) \) |
1-4033-4033.1010-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1010 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0565$ |
$0$ |
$1.38642$ |
Dirichlet character \(\chi_{4033} (1010, \cdot) \) |
1-4033-4033.1013-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1013 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0375$ |
$0$ |
$0.750779$ |
Dirichlet character \(\chi_{4033} (1013, \cdot) \) |
1-4033-4033.1014-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1014 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.456$ |
$0$ |
$0.164082$ |
Dirichlet character \(\chi_{4033} (1014, \cdot) \) |
1-4033-4033.1015-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1015 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.380$ |
$0$ |
$1.52346$ |
Dirichlet character \(\chi_{4033} (1015, \cdot) \) |
1-4033-4033.1018-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1018 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.312$ |
$0$ |
$0.864269$ |
Dirichlet character \(\chi_{4033} (1018, \cdot) \) |
1-4033-4033.102-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.102 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.313$ |
$0$ |
$0.210886$ |
Dirichlet character \(\chi_{4033} (102, \cdot) \) |
1-4033-4033.1021-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1021 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.321$ |
$0$ |
$0.116660$ |
Dirichlet character \(\chi_{4033} (1021, \cdot) \) |
1-4033-4033.1022-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1022 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.231$ |
$0$ |
$0.613695$ |
Dirichlet character \(\chi_{4033} (1022, \cdot) \) |
1-4033-4033.1023-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1023 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.436$ |
$0$ |
$0.230314$ |
Dirichlet character \(\chi_{4033} (1023, \cdot) \) |
1-4033-4033.1024-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1024 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0729$ |
$0$ |
$0.359305$ |
Dirichlet character \(\chi_{4033} (1024, \cdot) \) |
1-4033-4033.1026-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1026 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.458$ |
$0$ |
$1.36630$ |
Dirichlet character \(\chi_{4033} (1026, \cdot) \) |
1-4033-4033.1027-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1027 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.467$ |
$0$ |
$1.34354$ |
Dirichlet character \(\chi_{4033} (1027, \cdot) \) |
1-4033-4033.1028-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1028 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0943$ |
$0$ |
$0.376200$ |
Dirichlet character \(\chi_{4033} (1028, \cdot) \) |
1-4033-4033.1029-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1029 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.137$ |
$0$ |
$1.13509$ |
Dirichlet character \(\chi_{4033} (1029, \cdot) \) |
1-4033-4033.103-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.103 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.195$ |
$0$ |
$0.523783$ |
Dirichlet character \(\chi_{4033} (103, \cdot) \) |
1-4033-4033.1031-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1031 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.207$ |
$0$ |
$0.723103$ |
Dirichlet character \(\chi_{4033} (1031, \cdot) \) |
1-4033-4033.1034-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1034 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.306$ |
$0$ |
$0.00557501$ |
Dirichlet character \(\chi_{4033} (1034, \cdot) \) |
1-4033-4033.1038-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1038 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0152$ |
$0$ |
$1.23361$ |
Dirichlet character \(\chi_{4033} (1038, \cdot) \) |
1-4033-4033.104-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.104 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.413$ |
$0$ |
$0.180828$ |
Dirichlet character \(\chi_{4033} (104, \cdot) \) |
1-4033-4033.1045-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1045 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0322$ |
$0$ |
$1.17015$ |
Dirichlet character \(\chi_{4033} (1045, \cdot) \) |
1-4033-4033.1047-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1047 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.204$ |
$0$ |
$1.77870$ |
Dirichlet character \(\chi_{4033} (1047, \cdot) \) |
1-4033-4033.1049-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1049 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.334$ |
$0$ |
$0.0894950$ |
Dirichlet character \(\chi_{4033} (1049, \cdot) \) |
1-4033-4033.1050-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1050 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.222$ |
$0$ |
$0.430308$ |
Dirichlet character \(\chi_{4033} (1050, \cdot) \) |
1-4033-4033.1051-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1051 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.453$ |
$0$ |
$0.346270$ |
Dirichlet character \(\chi_{4033} (1051, \cdot) \) |
1-4033-4033.1052-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1052 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.107$ |
$0$ |
$0.0813363$ |
Dirichlet character \(\chi_{4033} (1052, \cdot) \) |
1-4033-4033.1053-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1053 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.156$ |
$0$ |
$0.786319$ |
Dirichlet character \(\chi_{4033} (1053, \cdot) \) |
1-4033-4033.1058-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1058 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.305$ |
$0$ |
$0.403681$ |
Dirichlet character \(\chi_{4033} (1058, \cdot) \) |
1-4033-4033.1060-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1060 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0635$ |
$0$ |
$1.29931$ |
Dirichlet character \(\chi_{4033} (1060, \cdot) \) |
1-4033-4033.1061-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1061 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.421$ |
$0$ |
$0.361072$ |
Dirichlet character \(\chi_{4033} (1061, \cdot) \) |
1-4033-4033.1062-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1062 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.224$ |
$0$ |
$0.510838$ |
Dirichlet character \(\chi_{4033} (1062, \cdot) \) |
1-4033-4033.1063-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1063 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0431$ |
$0$ |
$0.677125$ |
Dirichlet character \(\chi_{4033} (1063, \cdot) \) |
1-4033-4033.1064-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1064 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.161$ |
$0$ |
$0.732910$ |
Dirichlet character \(\chi_{4033} (1064, \cdot) \) |
1-4033-4033.1067-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1067 |
$0$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.00309$ |
$0$ |
$0.184471$ |
Dirichlet character \(\chi_{4033} (1067, \cdot) \) |