Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-4033-4033.100-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.100 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.246$ |
$0$ |
$0.606859$ |
Character $\chi_{4033}(100, \cdot)$ |
1-4033-4033.1002-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1002 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.371$ |
$0$ |
$1.41569$ |
Character $\chi_{4033}(1002, \cdot)$ |
1-4033-4033.1003-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1003 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.374$ |
$0$ |
$0.385138$ |
Character $\chi_{4033}(1003, \cdot)$ |
1-4033-4033.1004-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1004 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.280$ |
$0$ |
$0.314648$ |
Character $\chi_{4033}(1004, \cdot)$ |
1-4033-4033.1005-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1005 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.165$ |
$0$ |
$0.946773$ |
Character $\chi_{4033}(1005, \cdot)$ |
1-4033-4033.1006-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1006 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.241$ |
$0$ |
$0.491946$ |
Character $\chi_{4033}(1006, \cdot)$ |
1-4033-4033.1008-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1008 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0540$ |
$0$ |
$1.12088$ |
Character $\chi_{4033}(1008, \cdot)$ |
1-4033-4033.1009-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1009 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.440$ |
$0$ |
$0.0749194$ |
Character $\chi_{4033}(1009, \cdot)$ |
1-4033-4033.1010-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1010 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0565$ |
$0$ |
$1.38642$ |
Character $\chi_{4033}(1010, \cdot)$ |
1-4033-4033.1013-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1013 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0375$ |
$0$ |
$0.750779$ |
Character $\chi_{4033}(1013, \cdot)$ |
1-4033-4033.1014-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1014 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.456$ |
$0$ |
$0.164082$ |
Character $\chi_{4033}(1014, \cdot)$ |
1-4033-4033.1015-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1015 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.380$ |
$0$ |
$1.52346$ |
Character $\chi_{4033}(1015, \cdot)$ |
1-4033-4033.1018-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1018 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.312$ |
$0$ |
$0.864269$ |
Character $\chi_{4033}(1018, \cdot)$ |
1-4033-4033.102-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.102 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.313$ |
$0$ |
$0.210886$ |
Character $\chi_{4033}(102, \cdot)$ |
1-4033-4033.1021-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1021 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.321$ |
$0$ |
$0.116660$ |
Character $\chi_{4033}(1021, \cdot)$ |
1-4033-4033.1022-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1022 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.231$ |
$0$ |
$0.613695$ |
Character $\chi_{4033}(1022, \cdot)$ |
1-4033-4033.1023-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1023 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.436$ |
$0$ |
$0.230314$ |
Character $\chi_{4033}(1023, \cdot)$ |
1-4033-4033.1024-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1024 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0729$ |
$0$ |
$0.359305$ |
Character $\chi_{4033}(1024, \cdot)$ |
1-4033-4033.1026-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1026 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.458$ |
$0$ |
$1.36630$ |
Character $\chi_{4033}(1026, \cdot)$ |
1-4033-4033.1027-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1027 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.467$ |
$0$ |
$1.34354$ |
Character $\chi_{4033}(1027, \cdot)$ |
1-4033-4033.1028-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1028 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0943$ |
$0$ |
$0.376200$ |
Character $\chi_{4033}(1028, \cdot)$ |
1-4033-4033.1029-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1029 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.137$ |
$0$ |
$1.13509$ |
Character $\chi_{4033}(1029, \cdot)$ |
1-4033-4033.103-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.103 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.195$ |
$0$ |
$0.523783$ |
Character $\chi_{4033}(103, \cdot)$ |
1-4033-4033.1031-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1031 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.207$ |
$0$ |
$0.723103$ |
Character $\chi_{4033}(1031, \cdot)$ |
1-4033-4033.1034-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1034 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.306$ |
$0$ |
$0.00557501$ |
Character $\chi_{4033}(1034, \cdot)$ |
1-4033-4033.1038-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1038 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0152$ |
$0$ |
$1.23361$ |
Character $\chi_{4033}(1038, \cdot)$ |
1-4033-4033.104-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.104 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.413$ |
$0$ |
$0.180828$ |
Character $\chi_{4033}(104, \cdot)$ |
1-4033-4033.1045-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1045 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0322$ |
$0$ |
$1.17015$ |
Character $\chi_{4033}(1045, \cdot)$ |
1-4033-4033.1047-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1047 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.204$ |
$0$ |
$1.77870$ |
Character $\chi_{4033}(1047, \cdot)$ |
1-4033-4033.1049-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1049 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.334$ |
$0$ |
$0.0894950$ |
Character $\chi_{4033}(1049, \cdot)$ |
1-4033-4033.1050-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1050 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.222$ |
$0$ |
$0.430308$ |
Character $\chi_{4033}(1050, \cdot)$ |
1-4033-4033.1051-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1051 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.453$ |
$0$ |
$0.346270$ |
Character $\chi_{4033}(1051, \cdot)$ |
1-4033-4033.1052-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1052 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.107$ |
$0$ |
$0.0813363$ |
Character $\chi_{4033}(1052, \cdot)$ |
1-4033-4033.1053-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1053 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.156$ |
$0$ |
$0.786319$ |
Character $\chi_{4033}(1053, \cdot)$ |
1-4033-4033.1058-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1058 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.305$ |
$0$ |
$0.403681$ |
Character $\chi_{4033}(1058, \cdot)$ |
1-4033-4033.1060-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1060 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0635$ |
$0$ |
$1.29931$ |
Character $\chi_{4033}(1060, \cdot)$ |
1-4033-4033.1061-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1061 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.421$ |
$0$ |
$0.361072$ |
Character $\chi_{4033}(1061, \cdot)$ |
1-4033-4033.1062-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1062 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.224$ |
$0$ |
$0.510838$ |
Character $\chi_{4033}(1062, \cdot)$ |
1-4033-4033.1063-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1063 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0431$ |
$0$ |
$0.677125$ |
Character $\chi_{4033}(1063, \cdot)$ |
1-4033-4033.1064-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1064 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.161$ |
$0$ |
$0.732910$ |
Character $\chi_{4033}(1064, \cdot)$ |
1-4033-4033.1067-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1067 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00309$ |
$0$ |
$0.184471$ |
Character $\chi_{4033}(1067, \cdot)$ |
1-4033-4033.1069-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1069 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.307$ |
$0$ |
$0.512700$ |
Character $\chi_{4033}(1069, \cdot)$ |
1-4033-4033.1070-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1070 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0676$ |
$0$ |
$0.616303$ |
Character $\chi_{4033}(1070, \cdot)$ |
1-4033-4033.1071-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1071 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.431$ |
$0$ |
$0.574529$ |
Character $\chi_{4033}(1071, \cdot)$ |
1-4033-4033.1079-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1079 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.327$ |
$0$ |
$1.09353$ |
Character $\chi_{4033}(1079, \cdot)$ |
1-4033-4033.108-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.108 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.156$ |
$0$ |
$1.05525$ |
Character $\chi_{4033}(108, \cdot)$ |
1-4033-4033.1083-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1083 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.379$ |
$0$ |
$0.628170$ |
Character $\chi_{4033}(1083, \cdot)$ |
1-4033-4033.1085-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1085 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.484$ |
$0$ |
$1.34373$ |
Character $\chi_{4033}(1085, \cdot)$ |
1-4033-4033.1088-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1088 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.480$ |
$0$ |
$0.451148$ |
Character $\chi_{4033}(1088, \cdot)$ |
1-4033-4033.1089-r0-0-0 |
$18.7$ |
$18.7$ |
$1$ |
$37 \cdot 109$ |
4033.1089 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.324$ |
$0$ |
$0.610218$ |
Character $\chi_{4033}(1089, \cdot)$ |