Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
1-1312-1312.1003-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1003 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.120$ |
$0$ |
$0.619625$ |
Character $\chi_{1312}(1003, \cdot)$ |
1-1312-1312.1005-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1005 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.204$ |
$0$ |
$0.648483$ |
Character $\chi_{1312}(1005, \cdot)$ |
1-1312-1312.1011-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1011 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0280$ |
$0$ |
$1.14479$ |
Character $\chi_{1312}(1011, \cdot)$ |
1-1312-1312.1019-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1019 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.184$ |
$0$ |
$0.823392$ |
Character $\chi_{1312}(1019, \cdot)$ |
1-1312-1312.1021-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1021 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.138$ |
$0$ |
$1.35763$ |
Character $\chi_{1312}(1021, \cdot)$ |
1-1312-1312.1029-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1029 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.495$ |
$0$ |
$0.349618$ |
Character $\chi_{1312}(1029, \cdot)$ |
1-1312-1312.1045-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1045 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.164$ |
$0$ |
$0.773788$ |
Character $\chi_{1312}(1045, \cdot)$ |
1-1312-1312.1051-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1051 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.228$ |
$0$ |
$1.98956$ |
Character $\chi_{1312}(1051, \cdot)$ |
1-1312-1312.1059-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1059 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.434$ |
$0$ |
$0.378647$ |
Character $\chi_{1312}(1059, \cdot)$ |
1-1312-1312.1061-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1061 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.463$ |
$0$ |
$1.95463$ |
Character $\chi_{1312}(1061, \cdot)$ |
1-1312-1312.1083-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1083 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.106$ |
$0$ |
$0.356806$ |
Character $\chi_{1312}(1083, \cdot)$ |
1-1312-1312.11-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.11 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.387$ |
$0$ |
$0.220470$ |
Character $\chi_{1312}(11, \cdot)$ |
1-1312-1312.1109-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1109 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0456$ |
$0$ |
$0.985689$ |
Character $\chi_{1312}(1109, \cdot)$ |
1-1312-1312.1117-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1117 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.451$ |
$0$ |
$0.0532739$ |
Character $\chi_{1312}(1117, \cdot)$ |
1-1312-1312.1125-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1125 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0780$ |
$0$ |
$0.786050$ |
Character $\chi_{1312}(1125, \cdot)$ |
1-1312-1312.1131-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1131 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0673$ |
$0$ |
$0.653762$ |
Character $\chi_{1312}(1131, \cdot)$ |
1-1312-1312.1155-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1155 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00360$ |
$0$ |
$0.683936$ |
Character $\chi_{1312}(1155, \cdot)$ |
1-1312-1312.1157-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1157 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.290$ |
$0$ |
$0.495023$ |
Character $\chi_{1312}(1157, \cdot)$ |
1-1312-1312.1163-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1163 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.199$ |
$0$ |
$1.21497$ |
Character $\chi_{1312}(1163, \cdot)$ |
1-1312-1312.1173-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1173 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.323$ |
$0$ |
$0.161385$ |
Character $\chi_{1312}(1173, \cdot)$ |
1-1312-1312.1181-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1181 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.479$ |
$0$ |
$1.99486$ |
Character $\chi_{1312}(1181, \cdot)$ |
1-1312-1312.1195-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1195 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00360$ |
$0$ |
$1.08586$ |
Character $\chi_{1312}(1195, \cdot)$ |
1-1312-1312.1197-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1197 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.463$ |
$0$ |
$0.537032$ |
Character $\chi_{1312}(1197, \cdot)$ |
1-1312-1312.1203-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1203 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.144$ |
$0$ |
$0.569974$ |
Character $\chi_{1312}(1203, \cdot)$ |
1-1312-1312.1205-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1205 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.359$ |
$0$ |
$0.833674$ |
Character $\chi_{1312}(1205, \cdot)$ |
1-1312-1312.1211-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1211 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.119$ |
$0$ |
$1.40841$ |
Character $\chi_{1312}(1211, \cdot)$ |
1-1312-1312.1219-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1219 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.478$ |
$0$ |
$1.59780$ |
Character $\chi_{1312}(1219, \cdot)$ |
1-1312-1312.1221-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1221 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.102$ |
$0$ |
$0.999017$ |
Character $\chi_{1312}(1221, \cdot)$ |
1-1312-1312.1227-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1227 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.278$ |
$0$ |
$0.514453$ |
Character $\chi_{1312}(1227, \cdot)$ |
1-1312-1312.1229-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1229 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0937$ |
$0$ |
$1.13412$ |
Character $\chi_{1312}(1229, \cdot)$ |
1-1312-1312.1243-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1243 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.183$ |
$0$ |
$1.14213$ |
Character $\chi_{1312}(1243, \cdot)$ |
1-1312-1312.125-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.125 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.358$ |
$0$ |
$0.697877$ |
Character $\chi_{1312}(125, \cdot)$ |
1-1312-1312.1253-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1253 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.114$ |
$0$ |
$1.00251$ |
Character $\chi_{1312}(1253, \cdot)$ |
1-1312-1312.1259-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1259 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.169$ |
$0$ |
$1.12986$ |
Character $\chi_{1312}(1259, \cdot)$ |
1-1312-1312.1261-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1261 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.495$ |
$0$ |
$1.94082$ |
Character $\chi_{1312}(1261, \cdot)$ |
1-1312-1312.1269-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1269 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.147$ |
$0$ |
$1.32962$ |
Character $\chi_{1312}(1269, \cdot)$ |
1-1312-1312.1283-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1283 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0673$ |
$0$ |
$0.680131$ |
Character $\chi_{1312}(1283, \cdot)$ |
1-1312-1312.1299-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.1299 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.119$ |
$0$ |
$0.613074$ |
Character $\chi_{1312}(1299, \cdot)$ |
1-1312-1312.133-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.133 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.111$ |
$0$ |
$0.809812$ |
Character $\chi_{1312}(133, \cdot)$ |
1-1312-1312.141-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.141 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.109$ |
$0$ |
$0.680152$ |
Character $\chi_{1312}(141, \cdot)$ |
1-1312-1312.147-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.147 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00484$ |
$0$ |
$1.47036$ |
Character $\chi_{1312}(147, \cdot)$ |
1-1312-1312.171-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.171 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.191$ |
$0$ |
$0.716232$ |
Character $\chi_{1312}(171, \cdot)$ |
1-1312-1312.173-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.173 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.102$ |
$0$ |
$0.833788$ |
Character $\chi_{1312}(173, \cdot)$ |
1-1312-1312.179-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.179 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.137$ |
$0$ |
$1.21586$ |
Character $\chi_{1312}(179, \cdot)$ |
1-1312-1312.189-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.189 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.364$ |
$0$ |
$0.193230$ |
Character $\chi_{1312}(189, \cdot)$ |
1-1312-1312.19-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.19 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.183$ |
$0$ |
$0.729965$ |
Character $\chi_{1312}(19, \cdot)$ |
1-1312-1312.197-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.197 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0424$ |
$0$ |
$1.15850$ |
Character $\chi_{1312}(197, \cdot)$ |
1-1312-1312.21-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.21 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.358$ |
$0$ |
$1.63245$ |
Character $\chi_{1312}(21, \cdot)$ |
1-1312-1312.211-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.211 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0588$ |
$0$ |
$0.560635$ |
Character $\chi_{1312}(211, \cdot)$ |
1-1312-1312.213-r0-0-0 |
$6.09$ |
$6.09$ |
$1$ |
$2^{5} \cdot 41$ |
1312.213 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0992$ |
$0$ |
$0.894785$ |
Character $\chi_{1312}(213, \cdot)$ |