| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 837.a |
\(\chi_{837}(1, \cdot)\)
|
$837$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 837.b |
\(\chi_{837}(404, \cdot)\)
|
$837$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 837.c |
\(\chi_{837}(836, \cdot)\)
|
$837$ |
$93$ |
$2$ |
\(\Q(\sqrt{93}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 837.d |
\(\chi_{837}(433, \cdot)\)
|
$837$ |
$31$ |
$2$ |
\(\Q(\sqrt{-31}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 837.e |
\(\chi_{837}(118, \cdot)\)$,$ \(\chi_{837}(532, \cdot)\)
|
$837$ |
$279$ |
$3$ |
3.3.77841.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 837.f |
\(\chi_{837}(280, \cdot)\)$,$ \(\chi_{837}(559, \cdot)\)
|
$837$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 837.g |
\(\chi_{837}(253, \cdot)\)$,$ \(\chi_{837}(397, \cdot)\)
|
$837$ |
$279$ |
$3$ |
3.3.77841.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 837.h |
\(\chi_{837}(676, \cdot)\)$,$ \(\chi_{837}(811, \cdot)\)
|
$837$ |
$31$ |
$3$ |
3.3.961.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 837.i |
\(\chi_{837}(109, \cdot)\)$, \cdots ,$\(\chi_{837}(622, \cdot)\)
|
$837$ |
$31$ |
$5$ |
5.5.923521.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 837.j |
\(\chi_{837}(26, \cdot)\)$,$ \(\chi_{837}(161, \cdot)\)
|
$837$ |
$93$ |
$6$ |
6.6.772987077.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 837.k |
\(\chi_{837}(242, \cdot)\)$,$ \(\chi_{837}(377, \cdot)\)
|
$837$ |
$93$ |
$6$ |
6.0.24935067.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 837.l |
\(\chi_{837}(37, \cdot)\)$,$ \(\chi_{837}(181, \cdot)\)
|
$837$ |
$279$ |
$6$ |
6.0.187835859711.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 837.m |
\(\chi_{837}(154, \cdot)\)$,$ \(\chi_{837}(712, \cdot)\)
|
$837$ |
$279$ |
$6$ |
6.0.195458751.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 837.n |
\(\chi_{837}(316, \cdot)\)$,$ \(\chi_{837}(739, \cdot)\)
|
$837$ |
$279$ |
$6$ |
6.0.187835859711.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 837.o |
\(\chi_{837}(440, \cdot)\)$,$ \(\chi_{837}(584, \cdot)\)
|
$837$ |
$279$ |
$6$ |
6.6.563507579133.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 837.p |
\(\chi_{837}(98, \cdot)\)$,$ \(\chi_{837}(521, \cdot)\)
|
$837$ |
$279$ |
$6$ |
6.0.18177663843.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 837.q |
\(\chi_{837}(656, \cdot)\)$,$ \(\chi_{837}(800, \cdot)\)
|
$837$ |
$279$ |
$6$ |
6.0.18177663843.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 837.r |
\(\chi_{837}(305, \cdot)\)$,$ \(\chi_{837}(719, \cdot)\)
|
$837$ |
$279$ |
$6$ |
6.6.563507579133.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 837.s |
\(\chi_{837}(278, \cdot)\)$,$ \(\chi_{837}(557, \cdot)\)
|
$837$ |
$279$ |
$6$ |
6.6.586376253.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 837.t |
\(\chi_{837}(125, \cdot)\)$,$ \(\chi_{837}(683, \cdot)\)
|
$837$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 837.u |
\(\chi_{837}(460, \cdot)\)$,$ \(\chi_{837}(595, \cdot)\)
|
$837$ |
$31$ |
$6$ |
6.0.28629151.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 837.v |
\(\chi_{837}(94, \cdot)\)$, \cdots ,$\(\chi_{837}(745, \cdot)\)
|
$837$ |
$27$ |
$9$ |
\(\Q(\zeta_{27})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 837.w |
\(\chi_{837}(160, \cdot)\)$, \cdots ,$\(\chi_{837}(769, \cdot)\)
|
$837$ |
$837$ |
$9$ |
9.9.27850805916667920729.1 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 837.x |
\(\chi_{837}(25, \cdot)\)$, \cdots ,$\(\chi_{837}(625, \cdot)\)
|
$837$ |
$837$ |
$9$ |
9.9.27850805916667920729.2 |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 837.y |
\(\chi_{837}(244, \cdot)\)$, \cdots ,$\(\chi_{837}(649, \cdot)\)
|
$837$ |
$31$ |
$10$ |
10.0.26439622160671.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 837.z |
\(\chi_{837}(215, \cdot)\)$, \cdots ,$\(\chi_{837}(728, \cdot)\)
|
$837$ |
$93$ |
$10$ |
10.10.6424828185043053.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 837.ba |
\(\chi_{837}(188, \cdot)\)$, \cdots ,$\(\chi_{837}(593, \cdot)\)
|
$837$ |
$93$ |
$10$ |
10.0.207252522098163.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 837.bb |
\(\chi_{837}(28, \cdot)\)$, \cdots ,$\(\chi_{837}(784, \cdot)\)
|
$837$ |
$31$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 837.bc |
\(\chi_{837}(64, \cdot)\)$, \cdots ,$\(\chi_{837}(748, \cdot)\)
|
$837$ |
$279$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 837.bd |
\(\chi_{837}(235, \cdot)\)$, \cdots ,$\(\chi_{837}(820, \cdot)\)
|
$837$ |
$279$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 837.be |
\(\chi_{837}(10, \cdot)\)$, \cdots ,$\(\chi_{837}(793, \cdot)\)
|
$837$ |
$279$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 837.bf |
\(\chi_{837}(88, \cdot)\)$, \cdots ,$\(\chi_{837}(688, \cdot)\)
|
$837$ |
$837$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 837.bg |
\(\chi_{837}(61, \cdot)\)$, \cdots ,$\(\chi_{837}(805, \cdot)\)
|
$837$ |
$837$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 837.bh |
\(\chi_{837}(223, \cdot)\)$, \cdots ,$\(\chi_{837}(832, \cdot)\)
|
$837$ |
$837$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 837.bi |
\(\chi_{837}(149, \cdot)\)$, \cdots ,$\(\chi_{837}(749, \cdot)\)
|
$837$ |
$837$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 837.bj |
\(\chi_{837}(92, \cdot)\)$, \cdots ,$\(\chi_{837}(743, \cdot)\)
|
$837$ |
$837$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 837.bk |
\(\chi_{837}(32, \cdot)\)$, \cdots ,$\(\chi_{837}(776, \cdot)\)
|
$837$ |
$27$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 837.bl |
\(\chi_{837}(68, \cdot)\)$, \cdots ,$\(\chi_{837}(677, \cdot)\)
|
$837$ |
$837$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 837.bm |
\(\chi_{837}(212, \cdot)\)$, \cdots ,$\(\chi_{837}(812, \cdot)\)
|
$837$ |
$837$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 837.bn |
\(\chi_{837}(5, \cdot)\)$, \cdots ,$\(\chi_{837}(614, \cdot)\)
|
$837$ |
$837$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 837.bo |
\(\chi_{837}(55, \cdot)\)$, \cdots ,$\(\chi_{837}(757, \cdot)\)
|
$837$ |
$31$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 837.bp |
\(\chi_{837}(71, \cdot)\)$, \cdots ,$\(\chi_{837}(710, \cdot)\)
|
$837$ |
$279$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 837.bq |
\(\chi_{837}(44, \cdot)\)$, \cdots ,$\(\chi_{837}(827, \cdot)\)
|
$837$ |
$279$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 837.br |
\(\chi_{837}(8, \cdot)\)$, \cdots ,$\(\chi_{837}(791, \cdot)\)
|
$837$ |
$279$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 837.bs |
\(\chi_{837}(89, \cdot)\)$, \cdots ,$\(\chi_{837}(773, \cdot)\)
|
$837$ |
$279$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 837.bt |
\(\chi_{837}(17, \cdot)\)$, \cdots ,$\(\chi_{837}(602, \cdot)\)
|
$837$ |
$279$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 837.bu |
\(\chi_{837}(152, \cdot)\)$, \cdots ,$\(\chi_{837}(764, \cdot)\)
|
$837$ |
$279$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 837.bv |
\(\chi_{837}(46, \cdot)\)$, \cdots ,$\(\chi_{837}(829, \cdot)\)
|
$837$ |
$279$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 837.bw |
\(\chi_{837}(73, \cdot)\)$, \cdots ,$\(\chi_{837}(685, \cdot)\)
|
$837$ |
$279$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 837.bx |
\(\chi_{837}(127, \cdot)\)$, \cdots ,$\(\chi_{837}(766, \cdot)\)
|
$837$ |
$279$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
