Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-1792-1792.1003-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1003 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.263$ |
$0$ |
$0.638327$ |
Dirichlet character \(\chi_{1792} (1003, \cdot) \) |
1-1792-1792.101-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.101 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.263$ |
$0$ |
$1.27278$ |
Dirichlet character \(\chi_{1792} (101, \cdot) \) |
1-1792-1792.1013-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1013 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0996$ |
$0$ |
$0.246453$ |
Dirichlet character \(\chi_{1792} (1013, \cdot) \) |
1-1792-1792.1019-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1019 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.275$ |
$0$ |
$0.818864$ |
Dirichlet character \(\chi_{1792} (1019, \cdot) \) |
1-1792-1792.1021-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1021 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.00390$ |
$0$ |
$0.660914$ |
Dirichlet character \(\chi_{1792} (1021, \cdot) \) |
1-1792-1792.1053-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1053 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.349$ |
$0$ |
$1.10353$ |
Dirichlet character \(\chi_{1792} (1053, \cdot) \) |
1-1792-1792.1059-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1059 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.243$ |
$0$ |
$0.646140$ |
Dirichlet character \(\chi_{1792} (1059, \cdot) \) |
1-1792-1792.1069-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1069 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.236$ |
$0$ |
$0.633899$ |
Dirichlet character \(\chi_{1792} (1069, \cdot) \) |
1-1792-1792.107-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.107 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.236$ |
$0$ |
$0.720114$ |
Dirichlet character \(\chi_{1792} (107, \cdot) \) |
1-1792-1792.1075-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1075 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.204$ |
$0$ |
$0.740967$ |
Dirichlet character \(\chi_{1792} (1075, \cdot) \) |
1-1792-1792.1077-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1077 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.496$ |
$0$ |
$0.908915$ |
Dirichlet character \(\chi_{1792} (1077, \cdot) \) |
1-1792-1792.11-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.11 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.256$ |
$0$ |
$0.293669$ |
Dirichlet character \(\chi_{1792} (11, \cdot) \) |
1-1792-1792.1109-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1109 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.142$ |
$0$ |
$0.402000$ |
Dirichlet character \(\chi_{1792} (1109, \cdot) \) |
1-1792-1792.1115-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1115 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.420$ |
$0$ |
$0.0130549$ |
Dirichlet character \(\chi_{1792} (1115, \cdot) \) |
1-1792-1792.1125-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1125 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.443$ |
$0$ |
$0.0100231$ |
Dirichlet character \(\chi_{1792} (1125, \cdot) \) |
1-1792-1792.1131-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1131 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.243$ |
$0$ |
$0.283671$ |
Dirichlet character \(\chi_{1792} (1131, \cdot) \) |
1-1792-1792.1133-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1133 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.410$ |
$0$ |
$0.0486496$ |
Dirichlet character \(\chi_{1792} (1133, \cdot) \) |
1-1792-1792.1165-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1165 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.431$ |
$0$ |
$1.03668$ |
Dirichlet character \(\chi_{1792} (1165, \cdot) \) |
1-1792-1792.117-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.117 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.400$ |
$0$ |
$0.0940900$ |
Dirichlet character \(\chi_{1792} (117, \cdot) \) |
1-1792-1792.1171-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1171 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.400$ |
$0$ |
$0.305919$ |
Dirichlet character \(\chi_{1792} (1171, \cdot) \) |
1-1792-1792.1181-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1181 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.142$ |
$0$ |
$0.620371$ |
Dirichlet character \(\chi_{1792} (1181, \cdot) \) |
1-1792-1792.1187-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1187 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.263$ |
$0$ |
$0.281321$ |
Dirichlet character \(\chi_{1792} (1187, \cdot) \) |
1-1792-1792.1189-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1189 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0898$ |
$0$ |
$0.222971$ |
Dirichlet character \(\chi_{1792} (1189, \cdot) \) |
1-1792-1792.1221-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1221 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.138$ |
$0$ |
$0.764003$ |
Dirichlet character \(\chi_{1792} (1221, \cdot) \) |
1-1792-1792.1227-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1227 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0139$ |
$0$ |
$0.440823$ |
Dirichlet character \(\chi_{1792} (1227, \cdot) \) |
1-1792-1792.123-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.123 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.275$ |
$0$ |
$1.02328$ |
Dirichlet character \(\chi_{1792} (123, \cdot) \) |
1-1792-1792.1237-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1237 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.349$ |
$0$ |
$1.62571$ |
Dirichlet character \(\chi_{1792} (1237, \cdot) \) |
1-1792-1792.1243-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1243 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0999$ |
$0$ |
$0.617102$ |
Dirichlet character \(\chi_{1792} (1243, \cdot) \) |
1-1792-1792.1245-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1245 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.246$ |
$0$ |
$0.183705$ |
Dirichlet character \(\chi_{1792} (1245, \cdot) \) |
1-1792-1792.125-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.125 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.496$ |
$0$ |
$0.990944$ |
Dirichlet character \(\chi_{1792} (125, \cdot) \) |
1-1792-1792.1277-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1277 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.150$ |
$0$ |
$1.51903$ |
Dirichlet character \(\chi_{1792} (1277, \cdot) \) |
1-1792-1792.1283-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1283 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.00618$ |
$0$ |
$0.676148$ |
Dirichlet character \(\chi_{1792} (1283, \cdot) \) |
1-1792-1792.1293-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1293 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.138$ |
$0$ |
$0.690852$ |
Dirichlet character \(\chi_{1792} (1293, \cdot) \) |
1-1792-1792.1299-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1299 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.0797$ |
$0$ |
$0.949568$ |
Dirichlet character \(\chi_{1792} (1299, \cdot) \) |
1-1792-1792.13-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.13 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.285$ |
$0$ |
$1.60805$ |
Dirichlet character \(\chi_{1792} (13, \cdot) \) |
1-1792-1792.1301-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1301 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.246$ |
$0$ |
$0.101729$ |
Dirichlet character \(\chi_{1792} (1301, \cdot) \) |
1-1792-1792.1333-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1333 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.357$ |
$0$ |
$1.39997$ |
Dirichlet character \(\chi_{1792} (1333, \cdot) \) |
1-1792-1792.1339-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1339 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.204$ |
$0$ |
$0.263400$ |
Dirichlet character \(\chi_{1792} (1339, \cdot) \) |
1-1792-1792.1349-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1349 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.431$ |
$0$ |
$0.0420293$ |
Dirichlet character \(\chi_{1792} (1349, \cdot) \) |
1-1792-1792.1355-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1355 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.00618$ |
$0$ |
$0.630541$ |
Dirichlet character \(\chi_{1792} (1355, \cdot) \) |
1-1792-1792.1357-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1357 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.285$ |
$0$ |
$0.179844$ |
Dirichlet character \(\chi_{1792} (1357, \cdot) \) |
1-1792-1792.1389-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1389 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.443$ |
$0$ |
$0.834975$ |
Dirichlet character \(\chi_{1792} (1389, \cdot) \) |
1-1792-1792.1395-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1395 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.275$ |
$0$ |
$0.496208$ |
Dirichlet character \(\chi_{1792} (1395, \cdot) \) |
1-1792-1792.1405-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1405 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.357$ |
$0$ |
$1.27370$ |
Dirichlet character \(\chi_{1792} (1405, \cdot) \) |
1-1792-1792.1411-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1411 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.0139$ |
$0$ |
$0.652982$ |
Dirichlet character \(\chi_{1792} (1411, \cdot) \) |
1-1792-1792.1413-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1413 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.285$ |
$0$ |
$1.02275$ |
Dirichlet character \(\chi_{1792} (1413, \cdot) \) |
1-1792-1792.1445-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1445 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.236$ |
$0$ |
$0.0688825$ |
Dirichlet character \(\chi_{1792} (1445, \cdot) \) |
1-1792-1792.1451-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1451 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$-0.486$ |
$0$ |
$1.34620$ |
Dirichlet character \(\chi_{1792} (1451, \cdot) \) |
1-1792-1792.1461-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1461 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.150$ |
$0$ |
$0.833717$ |
Dirichlet character \(\chi_{1792} (1461, \cdot) \) |
1-1792-1792.1467-r1-0-0 |
$192.$ |
$192.$ |
$1$ |
$2^{8} \cdot 7$ |
1792.1467 |
$1$ |
$$ |
$0$ |
✓ |
✓ |
|
|
$0.275$ |
$0$ |
$1.48485$ |
Dirichlet character \(\chi_{1792} (1467, \cdot) \) |