| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-2340-2340.1003-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1003 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.481$ |
$0$ |
$1.04031$ |
Character $\chi_{2340}(1003, \cdot)$ |
| 1-2340-2340.1019-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1019 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.314$ |
$0$ |
$0.271353$ |
Character $\chi_{2340}(1019, \cdot)$ |
| 1-2340-2340.1039-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1039 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.111$ |
$0$ |
$0.690068$ |
Character $\chi_{2340}(1039, \cdot)$ |
| 1-2340-2340.1087-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1087 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.180$ |
$0$ |
$0.920706$ |
Character $\chi_{2340}(1087, \cdot)$ |
| 1-2340-2340.1123-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1123 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.402$ |
$0$ |
$1.29842$ |
Character $\chi_{2340}(1123, \cdot)$ |
| 1-2340-2340.1127-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1127 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.434$ |
$0$ |
$1.04830$ |
Character $\chi_{2340}(1127, \cdot)$ |
| 1-2340-2340.1139-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1139 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.314$ |
$0$ |
$0.987235$ |
Character $\chi_{2340}(1139, \cdot)$ |
| 1-2340-2340.119-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.119 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.384$ |
$0$ |
$0.916116$ |
Character $\chi_{2340}(119, \cdot)$ |
| 1-2340-2340.1219-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1219 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.359$ |
$0$ |
$0.745520$ |
Character $\chi_{2340}(1219, \cdot)$ |
| 1-2340-2340.1247-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1247 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.199$ |
$0$ |
$0.603626$ |
Character $\chi_{2340}(1247, \cdot)$ |
| 1-2340-2340.1267-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1267 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.112$ |
$0$ |
$0.594661$ |
Character $\chi_{2340}(1267, \cdot)$ |
| 1-2340-2340.1283-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1283 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.480$ |
$0$ |
$0.0192645$ |
Character $\chi_{2340}(1283, \cdot)$ |
| 1-2340-2340.1319-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1319 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0216$ |
$0$ |
$0.646782$ |
Character $\chi_{2340}(1319, \cdot)$ |
| 1-2340-2340.1343-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1343 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.447$ |
$0$ |
$0.273469$ |
Character $\chi_{2340}(1343, \cdot)$ |
| 1-2340-2340.1363-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1363 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.112$ |
$0$ |
$1.02649$ |
Character $\chi_{2340}(1363, \cdot)$ |
| 1-2340-2340.139-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.139 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0684$ |
$0$ |
$0.597808$ |
Character $\chi_{2340}(139, \cdot)$ |
| 1-2340-2340.1427-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1427 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.447$ |
$0$ |
$1.13906$ |
Character $\chi_{2340}(1427, \cdot)$ |
| 1-2340-2340.1627-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1627 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0271$ |
$0$ |
$0.311843$ |
Character $\chi_{2340}(1627, \cdot)$ |
| 1-2340-2340.1667-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1667 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.480$ |
$0$ |
$1.26958$ |
Character $\chi_{2340}(1667, \cdot)$ |
| 1-2340-2340.1679-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1679 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.107$ |
$0$ |
$0.823286$ |
Character $\chi_{2340}(1679, \cdot)$ |
| 1-2340-2340.1699-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1699 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.153$ |
$0$ |
$0.665758$ |
Character $\chi_{2340}(1699, \cdot)$ |
| 1-2340-2340.1723-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1723 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.0271$ |
$0$ |
$0.424399$ |
Character $\chi_{2340}(1723, \cdot)$ |
| 1-2340-2340.1759-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1759 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.136$ |
$0$ |
$0.425355$ |
Character $\chi_{2340}(1759, \cdot)$ |
| 1-2340-2340.1823-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1823 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.434$ |
$0$ |
$0.0562039$ |
Character $\chi_{2340}(1823, \cdot)$ |
| 1-2340-2340.1867-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1867 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.402$ |
$0$ |
$0.0401643$ |
Character $\chi_{2340}(1867, \cdot)$ |
| 1-2340-2340.187-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.187 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.273$ |
$0$ |
$0.704702$ |
Character $\chi_{2340}(187, \cdot)$ |
| 1-2340-2340.1903-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1903 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.180$ |
$0$ |
$0.545672$ |
Character $\chi_{2340}(1903, \cdot)$ |
| 1-2340-2340.1919-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1919 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.407$ |
$0$ |
$1.13929$ |
Character $\chi_{2340}(1919, \cdot)$ |
| 1-2340-2340.1967-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1967 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0487$ |
$0$ |
$0.646799$ |
Character $\chi_{2340}(1967, \cdot)$ |
| 1-2340-2340.1987-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.1987 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.433$ |
$0$ |
$0.0707759$ |
Character $\chi_{2340}(1987, \cdot)$ |
| 1-2340-2340.2023-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.2023 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.496$ |
$0$ |
$0.0578877$ |
Character $\chi_{2340}(2023, \cdot)$ |
| 1-2340-2340.2027-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.2027 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.476$ |
$0$ |
$1.19832$ |
Character $\chi_{2340}(2027, \cdot)$ |
| 1-2340-2340.2039-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.2039 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.299$ |
$0$ |
$0.204261$ |
Character $\chi_{2340}(2039, \cdot)$ |
| 1-2340-2340.2047-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.2047 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.109$ |
$0$ |
$0.814372$ |
Character $\chi_{2340}(2047, \cdot)$ |
| 1-2340-2340.2063-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.2063 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.241$ |
$0$ |
$0.0239790$ |
Character $\chi_{2340}(2063, \cdot)$ |
| 1-2340-2340.2099-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.2099 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.299$ |
$0$ |
$0.772784$ |
Character $\chi_{2340}(2099, \cdot)$ |
| 1-2340-2340.2183-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.2183 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.476$ |
$0$ |
$0.00419864$ |
Character $\chi_{2340}(2183, \cdot)$ |
| 1-2340-2340.2203-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.2203 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.211$ |
$0$ |
$0.736096$ |
Character $\chi_{2340}(2203, \cdot)$ |
| 1-2340-2340.2207-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.2207 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.275$ |
$0$ |
$0.105143$ |
Character $\chi_{2340}(2207, \cdot)$ |
| 1-2340-2340.223-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.223 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.296$ |
$0$ |
$0.917400$ |
Character $\chi_{2340}(223, \cdot)$ |
| 1-2340-2340.2239-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.2239 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.0684$ |
$0$ |
$0.332846$ |
Character $\chi_{2340}(2239, \cdot)$ |
| 1-2340-2340.23-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.23 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.229$ |
$0$ |
$0.394886$ |
Character $\chi_{2340}(23, \cdot)$ |
| 1-2340-2340.239-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.239 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.407$ |
$0$ |
$0.0817323$ |
Character $\chi_{2340}(239, \cdot)$ |
| 1-2340-2340.259-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.259 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.111$ |
$0$ |
$0.382878$ |
Character $\chi_{2340}(259, \cdot)$ |
| 1-2340-2340.263-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.263 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.156$ |
$0$ |
$0.563237$ |
Character $\chi_{2340}(263, \cdot)$ |
| 1-2340-2340.347-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.347 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.156$ |
$0$ |
$0.789174$ |
Character $\chi_{2340}(347, \cdot)$ |
| 1-2340-2340.407-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.407 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.229$ |
$0$ |
$0.870164$ |
Character $\chi_{2340}(407, \cdot)$ |
| 1-2340-2340.427-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.427 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.211$ |
$0$ |
$0.330705$ |
Character $\chi_{2340}(427, \cdot)$ |
| 1-2340-2340.439-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.439 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$0.136$ |
$0$ |
$0.915704$ |
Character $\chi_{2340}(439, \cdot)$ |
| 1-2340-2340.463-r1-0-0 |
$251.$ |
$251.$ |
$1$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 13$ |
2340.463 |
$1$ |
|
0 |
✓ |
✓ |
|
|
$-0.273$ |
$0$ |
$0.0778146$ |
Character $\chi_{2340}(463, \cdot)$ |
