| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
arith |
$\mathbb{Q}$ |
self-dual |
$\operatorname{Arg}(\epsilon)$ |
$r$ |
First zero |
Origin |
| 1-1968-1968.101-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.101 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.314$ |
$0$ |
$0.340143$ |
Character $\chi_{1968}(101, \cdot)$ |
| 1-1968-1968.1013-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1013 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.474$ |
$0$ |
$1.56651$ |
Character $\chi_{1968}(1013, \cdot)$ |
| 1-1968-1968.1037-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1037 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.226$ |
$0$ |
$1.38220$ |
Character $\chi_{1968}(1037, \cdot)$ |
| 1-1968-1968.1043-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1043 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.321$ |
$0$ |
$0.376591$ |
Character $\chi_{1968}(1043, \cdot)$ |
| 1-1968-1968.107-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.107 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.141$ |
$0$ |
$0.890197$ |
Character $\chi_{1968}(107, \cdot)$ |
| 1-1968-1968.1085-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1085 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.310$ |
$0$ |
$1.39336$ |
Character $\chi_{1968}(1085, \cdot)$ |
| 1-1968-1968.1091-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1091 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0167$ |
$0$ |
$0.752638$ |
Character $\chi_{1968}(1091, \cdot)$ |
| 1-1968-1968.1115-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1115 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0694$ |
$0$ |
$0.851970$ |
Character $\chi_{1968}(1115, \cdot)$ |
| 1-1968-1968.1133-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1133 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.247$ |
$0$ |
$0.344782$ |
Character $\chi_{1968}(1133, \cdot)$ |
| 1-1968-1968.1139-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1139 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.491$ |
$0$ |
$0.314027$ |
Character $\chi_{1968}(1139, \cdot)$ |
| 1-1968-1968.1187-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1187 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0962$ |
$0$ |
$0.739937$ |
Character $\chi_{1968}(1187, \cdot)$ |
| 1-1968-1968.1235-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1235 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.123$ |
$0$ |
$0.220535$ |
Character $\chi_{1968}(1235, \cdot)$ |
| 1-1968-1968.1277-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1277 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.365$ |
$0$ |
$0.251329$ |
Character $\chi_{1968}(1277, \cdot)$ |
| 1-1968-1968.1301-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1301 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.247$ |
$0$ |
$0.950836$ |
Character $\chi_{1968}(1301, \cdot)$ |
| 1-1968-1968.1307-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1307 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0555$ |
$0$ |
$0.879034$ |
Character $\chi_{1968}(1307, \cdot)$ |
| 1-1968-1968.131-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.131 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0555$ |
$0$ |
$0.906501$ |
Character $\chi_{1968}(131, \cdot)$ |
| 1-1968-1968.1325-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1325 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.314$ |
$0$ |
$1.11559$ |
Character $\chi_{1968}(1325, \cdot)$ |
| 1-1968-1968.1355-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1355 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0855$ |
$0$ |
$1.03183$ |
Character $\chi_{1968}(1355, \cdot)$ |
| 1-1968-1968.1397-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1397 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0505$ |
$0$ |
$1.09090$ |
Character $\chi_{1968}(1397, \cdot)$ |
| 1-1968-1968.1403-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1403 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.491$ |
$0$ |
$1.58956$ |
Character $\chi_{1968}(1403, \cdot)$ |
| 1-1968-1968.1421-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1421 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.378$ |
$0$ |
$0.138344$ |
Character $\chi_{1968}(1421, \cdot)$ |
| 1-1968-1968.1427-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1427 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.248$ |
$0$ |
$1.17439$ |
Character $\chi_{1968}(1427, \cdot)$ |
| 1-1968-1968.1451-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1451 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.321$ |
$0$ |
$1.43470$ |
Character $\chi_{1968}(1451, \cdot)$ |
| 1-1968-1968.1469-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1469 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0721$ |
$0$ |
$0.923876$ |
Character $\chi_{1968}(1469, \cdot)$ |
| 1-1968-1968.1475-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1475 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.437$ |
$0$ |
$1.54698$ |
Character $\chi_{1968}(1475, \cdot)$ |
| 1-1968-1968.149-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.149 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.127$ |
$0$ |
$1.22091$ |
Character $\chi_{1968}(149, \cdot)$ |
| 1-1968-1968.1493-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1493 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.150$ |
$0$ |
$0.695646$ |
Character $\chi_{1968}(1493, \cdot)$ |
| 1-1968-1968.1499-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1499 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0167$ |
$0$ |
$0.819090$ |
Character $\chi_{1968}(1499, \cdot)$ |
| 1-1968-1968.1541-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1541 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.226$ |
$0$ |
$0.593851$ |
Character $\chi_{1968}(1541, \cdot)$ |
| 1-1968-1968.155-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.155 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.383$ |
$0$ |
$1.25087$ |
Character $\chi_{1968}(155, \cdot)$ |
| 1-1968-1968.1565-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1565 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.00985$ |
$0$ |
$0.702816$ |
Character $\chi_{1968}(1565, \cdot)$ |
| 1-1968-1968.1595-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1595 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0675$ |
$0$ |
$0.457898$ |
Character $\chi_{1968}(1595, \cdot)$ |
| 1-1968-1968.1613-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1613 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0505$ |
$0$ |
$0.983836$ |
Character $\chi_{1968}(1613, \cdot)$ |
| 1-1968-1968.1619-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1619 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.221$ |
$0$ |
$1.25836$ |
Character $\chi_{1968}(1619, \cdot)$ |
| 1-1968-1968.1637-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1637 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.378$ |
$0$ |
$1.34567$ |
Character $\chi_{1968}(1637, \cdot)$ |
| 1-1968-1968.1691-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1691 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0574$ |
$0$ |
$0.916687$ |
Character $\chi_{1968}(1691, \cdot)$ |
| 1-1968-1968.1709-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1709 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.175$ |
$0$ |
$0.364217$ |
Character $\chi_{1968}(1709, \cdot)$ |
| 1-1968-1968.1733-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1733 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0689$ |
$0$ |
$0.723902$ |
Character $\chi_{1968}(1733, \cdot)$ |
| 1-1968-1968.1757-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1757 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.302$ |
$0$ |
$0.639506$ |
Character $\chi_{1968}(1757, \cdot)$ |
| 1-1968-1968.1835-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1835 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.351$ |
$0$ |
$2.00871$ |
Character $\chi_{1968}(1835, \cdot)$ |
| 1-1968-1968.1901-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1901 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0689$ |
$0$ |
$0.737285$ |
Character $\chi_{1968}(1901, \cdot)$ |
| 1-1968-1968.1907-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1907 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.0855$ |
$0$ |
$1.02107$ |
Character $\chi_{1968}(1907, \cdot)$ |
| 1-1968-1968.1931-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1931 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.226$ |
$0$ |
$1.05412$ |
Character $\chi_{1968}(1931, \cdot)$ |
| 1-1968-1968.1949-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.1949 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.199$ |
$0$ |
$0.431650$ |
Character $\chi_{1968}(1949, \cdot)$ |
| 1-1968-1968.203-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.203 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.221$ |
$0$ |
$0.542395$ |
Character $\chi_{1968}(203, \cdot)$ |
| 1-1968-1968.251-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.251 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.248$ |
$0$ |
$0.579583$ |
Character $\chi_{1968}(251, \cdot)$ |
| 1-1968-1968.29-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.29 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.150$ |
$0$ |
$1.00724$ |
Character $\chi_{1968}(29, \cdot)$ |
| 1-1968-1968.293-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.293 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.00985$ |
$0$ |
$0.567519$ |
Character $\chi_{1968}(293, \cdot)$ |
| 1-1968-1968.317-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.317 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$-0.127$ |
$0$ |
$0.910710$ |
Character $\chi_{1968}(317, \cdot)$ |
| 1-1968-1968.323-r0-0-0 |
$9.13$ |
$9.13$ |
$1$ |
$2^{4} \cdot 3 \cdot 41$ |
1968.323 |
$0$ |
|
0 |
✓ |
✓ |
|
|
$0.0694$ |
$0$ |
$0.970587$ |
Character $\chi_{1968}(323, \cdot)$ |