| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 1617.a |
\(\chi_{1617}(1, \cdot)\)
|
$1617$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1617.b |
\(\chi_{1617}(1079, \cdot)\)
|
$1617$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1617.c |
\(\chi_{1617}(538, \cdot)\)
|
$1617$ |
$77$ |
$2$ |
\(\Q(\sqrt{77}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1617.d |
\(\chi_{1617}(736, \cdot)\)
|
$1617$ |
$11$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1617.e |
\(\chi_{1617}(881, \cdot)\)
|
$1617$ |
$21$ |
$2$ |
\(\Q(\sqrt{21}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1617.f |
\(\chi_{1617}(1420, \cdot)\)
|
$1617$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1617.g |
\(\chi_{1617}(197, \cdot)\)
|
$1617$ |
$33$ |
$2$ |
\(\Q(\sqrt{33}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1617.h |
\(\chi_{1617}(1616, \cdot)\)
|
$1617$ |
$231$ |
$2$ |
\(\Q(\sqrt{-231}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1617.i |
\(\chi_{1617}(67, \cdot)\)$,$ \(\chi_{1617}(1255, \cdot)\)
|
$1617$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1617.j |
\(\chi_{1617}(148, \cdot)\)$, \cdots ,$\(\chi_{1617}(1324, \cdot)\)
|
$1617$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1617.k |
\(\chi_{1617}(362, \cdot)\)$,$ \(\chi_{1617}(1550, \cdot)\)
|
$1617$ |
$231$ |
$6$ |
6.0.603993159.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1617.l |
\(\chi_{1617}(263, \cdot)\)$,$ \(\chi_{1617}(1451, \cdot)\)
|
$1617$ |
$231$ |
$6$ |
6.6.86284737.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1617.m |
\(\chi_{1617}(166, \cdot)\)$,$ \(\chi_{1617}(1354, \cdot)\)
|
$1617$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1617.n |
\(\chi_{1617}(815, \cdot)\)$,$ \(\chi_{1617}(1244, \cdot)\)
|
$1617$ |
$21$ |
$6$ |
\(\Q(\zeta_{21})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1617.o |
\(\chi_{1617}(373, \cdot)\)$,$ \(\chi_{1617}(802, \cdot)\)
|
$1617$ |
$77$ |
$6$ |
6.0.3195731.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1617.p |
\(\chi_{1617}(472, \cdot)\)$,$ \(\chi_{1617}(901, \cdot)\)
|
$1617$ |
$77$ |
$6$ |
6.6.22370117.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1617.q |
\(\chi_{1617}(716, \cdot)\)$,$ \(\chi_{1617}(1145, \cdot)\)
|
$1617$ |
$21$ |
$6$ |
6.0.64827.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1617.r |
\(\chi_{1617}(232, \cdot)\)$, \cdots ,$\(\chi_{1617}(1387, \cdot)\)
|
$1617$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 1617.s |
\(\chi_{1617}(293, \cdot)\)$, \cdots ,$\(\chi_{1617}(1469, \cdot)\)
|
$1617$ |
$231$ |
$10$ |
10.0.9630096522760791.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1617.t |
\(\chi_{1617}(50, \cdot)\)$, \cdots ,$\(\chi_{1617}(1520, \cdot)\)
|
$1617$ |
$33$ |
$10$ |
\(\Q(\zeta_{33})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1617.u |
\(\chi_{1617}(97, \cdot)\)$, \cdots ,$\(\chi_{1617}(1567, \cdot)\)
|
$1617$ |
$77$ |
$10$ |
10.0.3602729712967.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1617.v |
\(\chi_{1617}(146, \cdot)\)$, \cdots ,$\(\chi_{1617}(1175, \cdot)\)
|
$1617$ |
$231$ |
$10$ |
10.10.875463320250981.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1617.w |
\(\chi_{1617}(442, \cdot)\)$, \cdots ,$\(\chi_{1617}(1471, \cdot)\)
|
$1617$ |
$11$ |
$10$ |
\(\Q(\zeta_{11})\) |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1617.x |
\(\chi_{1617}(244, \cdot)\)$, \cdots ,$\(\chi_{1617}(1273, \cdot)\)
|
$1617$ |
$77$ |
$10$ |
10.10.39630026842637.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1617.y |
\(\chi_{1617}(344, \cdot)\)$, \cdots ,$\(\chi_{1617}(1373, \cdot)\)
|
$1617$ |
$33$ |
$10$ |
10.0.52089208083.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1617.z |
\(\chi_{1617}(230, \cdot)\)$, \cdots ,$\(\chi_{1617}(1385, \cdot)\)
|
$1617$ |
$1617$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 1617.ba |
\(\chi_{1617}(428, \cdot)\)$, \cdots ,$\(\chi_{1617}(1583, \cdot)\)
|
$1617$ |
$1617$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 1617.bb |
\(\chi_{1617}(34, \cdot)\)$, \cdots ,$\(\chi_{1617}(1189, \cdot)\)
|
$1617$ |
$49$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 1617.bc |
\(\chi_{1617}(188, \cdot)\)$, \cdots ,$\(\chi_{1617}(1574, \cdot)\)
|
$1617$ |
$147$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 1617.bd |
\(\chi_{1617}(43, \cdot)\)$, \cdots ,$\(\chi_{1617}(1429, \cdot)\)
|
$1617$ |
$539$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 1617.be |
\(\chi_{1617}(76, \cdot)\)$, \cdots ,$\(\chi_{1617}(1462, \cdot)\)
|
$1617$ |
$539$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 1617.bf |
\(\chi_{1617}(155, \cdot)\)$, \cdots ,$\(\chi_{1617}(1541, \cdot)\)
|
$1617$ |
$147$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 1617.bg |
\(\chi_{1617}(214, \cdot)\)$, \cdots ,$\(\chi_{1617}(1549, \cdot)\)
|
$1617$ |
$77$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 1617.bh |
\(\chi_{1617}(100, \cdot)\)$, \cdots ,$\(\chi_{1617}(1486, \cdot)\)
|
$1617$ |
$49$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 1617.bi |
\(\chi_{1617}(410, \cdot)\)$, \cdots ,$\(\chi_{1617}(1598, \cdot)\)
|
$1617$ |
$231$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 1617.bj |
\(\chi_{1617}(19, \cdot)\)$, \cdots ,$\(\chi_{1617}(1207, \cdot)\)
|
$1617$ |
$77$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 1617.bk |
\(\chi_{1617}(79, \cdot)\)$, \cdots ,$\(\chi_{1617}(1537, \cdot)\)
|
$1617$ |
$77$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 1617.bl |
\(\chi_{1617}(80, \cdot)\)$, \cdots ,$\(\chi_{1617}(1538, \cdot)\)
|
$1617$ |
$231$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 1617.bm |
\(\chi_{1617}(31, \cdot)\)$, \cdots ,$\(\chi_{1617}(1501, \cdot)\)
|
$1617$ |
$77$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 1617.bn |
\(\chi_{1617}(116, \cdot)\)$, \cdots ,$\(\chi_{1617}(1586, \cdot)\)
|
$1617$ |
$231$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 1617.bo |
\(\chi_{1617}(68, \cdot)\)$, \cdots ,$\(\chi_{1617}(1403, \cdot)\)
|
$1617$ |
$231$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 1617.bp |
\(\chi_{1617}(64, \cdot)\)$, \cdots ,$\(\chi_{1617}(1576, \cdot)\)
|
$1617$ |
$539$ |
$35$ |
not computed |
$\Q(\zeta_{35})$ |
even |
|
|
✓ |
| 1617.bq |
\(\chi_{1617}(23, \cdot)\)$, \cdots ,$\(\chi_{1617}(1607, \cdot)\)
|
$1617$ |
$147$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 1617.br |
\(\chi_{1617}(10, \cdot)\)$, \cdots ,$\(\chi_{1617}(1594, \cdot)\)
|
$1617$ |
$539$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 1617.bs |
\(\chi_{1617}(109, \cdot)\)$, \cdots ,$\(\chi_{1617}(1528, \cdot)\)
|
$1617$ |
$539$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 1617.bt |
\(\chi_{1617}(89, \cdot)\)$, \cdots ,$\(\chi_{1617}(1508, \cdot)\)
|
$1617$ |
$147$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 1617.bu |
\(\chi_{1617}(199, \cdot)\)$, \cdots ,$\(\chi_{1617}(1585, \cdot)\)
|
$1617$ |
$49$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 1617.bv |
\(\chi_{1617}(32, \cdot)\)$, \cdots ,$\(\chi_{1617}(1418, \cdot)\)
|
$1617$ |
$1617$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
✓ |
✓ |
| 1617.bw |
\(\chi_{1617}(131, \cdot)\)$, \cdots ,$\(\chi_{1617}(1517, \cdot)\)
|
$1617$ |
$1617$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
✓ |
✓ |
| 1617.bx |
\(\chi_{1617}(71, \cdot)\)$, \cdots ,$\(\chi_{1617}(1604, \cdot)\)
|
$1617$ |
$1617$ |
$70$ |
not computed |
$\Q(\zeta_{35})$ |
odd |
|
✓ |
✓ |
