| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 833.a |
\(\chi_{833}(1, \cdot)\)
|
$833$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 833.b |
\(\chi_{833}(50, \cdot)\)
|
$833$ |
$17$ |
$2$ |
\(\Q(\sqrt{17}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 833.c |
\(\chi_{833}(783, \cdot)\)
|
$833$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 833.d |
\(\chi_{833}(832, \cdot)\)
|
$833$ |
$119$ |
$2$ |
\(\Q(\sqrt{-119}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 833.e |
\(\chi_{833}(18, \cdot)\)$,$ \(\chi_{833}(324, \cdot)\)
|
$833$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 833.f |
\(\chi_{833}(293, \cdot)\)$,$ \(\chi_{833}(489, \cdot)\)
|
$833$ |
$119$ |
$4$ |
4.0.240737.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 833.g |
\(\chi_{833}(344, \cdot)\)$,$ \(\chi_{833}(540, \cdot)\)
|
$833$ |
$17$ |
$4$ |
4.4.4913.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 833.h |
\(\chi_{833}(509, \cdot)\)$,$ \(\chi_{833}(815, \cdot)\)
|
$833$ |
$119$ |
$6$ |
6.0.82572791.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 833.i |
\(\chi_{833}(460, \cdot)\)$,$ \(\chi_{833}(766, \cdot)\)
|
$833$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 833.j |
\(\chi_{833}(67, \cdot)\)$,$ \(\chi_{833}(373, \cdot)\)
|
$833$ |
$119$ |
$6$ |
6.6.11796113.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 833.k |
\(\chi_{833}(120, \cdot)\)$, \cdots ,$\(\chi_{833}(715, \cdot)\)
|
$833$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 833.l |
\(\chi_{833}(246, \cdot)\)$, \cdots ,$\(\chi_{833}(638, \cdot)\)
|
$833$ |
$17$ |
$8$ |
\(\Q(\zeta_{17})^+\) |
\(\Q(\zeta_{8})\) |
even |
|
|
✓ |
| 833.m |
\(\chi_{833}(195, \cdot)\)$, \cdots ,$\(\chi_{833}(587, \cdot)\)
|
$833$ |
$119$ |
$8$ |
8.0.985223153873.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
✓ |
| 833.n |
\(\chi_{833}(166, \cdot)\)$, \cdots ,$\(\chi_{833}(803, \cdot)\)
|
$833$ |
$119$ |
$12$ |
12.0.33498139941871322753.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 833.o |
\(\chi_{833}(30, \cdot)\)$, \cdots ,$\(\chi_{833}(667, \cdot)\)
|
$833$ |
$119$ |
$12$ |
12.12.683635509017782097.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 833.p |
\(\chi_{833}(118, \cdot)\)$, \cdots ,$\(\chi_{833}(713, \cdot)\)
|
$833$ |
$833$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
| 833.q |
\(\chi_{833}(69, \cdot)\)$, \cdots ,$\(\chi_{833}(664, \cdot)\)
|
$833$ |
$49$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 833.r |
\(\chi_{833}(169, \cdot)\)$, \cdots ,$\(\chi_{833}(764, \cdot)\)
|
$833$ |
$833$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 833.s |
\(\chi_{833}(99, \cdot)\)$, \cdots ,$\(\chi_{833}(785, \cdot)\)
|
$833$ |
$17$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
✓ |
| 833.t |
\(\chi_{833}(48, \cdot)\)$, \cdots ,$\(\chi_{833}(734, \cdot)\)
|
$833$ |
$119$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
✓ |
| 833.u |
\(\chi_{833}(86, \cdot)\)$, \cdots ,$\(\chi_{833}(800, \cdot)\)
|
$833$ |
$49$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 833.v |
\(\chi_{833}(128, \cdot)\)$, \cdots ,$\(\chi_{833}(814, \cdot)\)
|
$833$ |
$119$ |
$24$ |
not computed |
\(\Q(\zeta_{24})\) |
even |
|
|
|
| 833.w |
\(\chi_{833}(19, \cdot)\)$, \cdots ,$\(\chi_{833}(705, \cdot)\)
|
$833$ |
$119$ |
$24$ |
not computed |
\(\Q(\zeta_{24})\) |
odd |
|
|
|
| 833.x |
\(\chi_{833}(64, \cdot)\)$, \cdots ,$\(\chi_{833}(820, \cdot)\)
|
$833$ |
$833$ |
$28$ |
not computed |
\(\Q(\zeta_{28})\) |
even |
|
✓ |
✓ |
| 833.y |
\(\chi_{833}(13, \cdot)\)$, \cdots ,$\(\chi_{833}(769, \cdot)\)
|
$833$ |
$833$ |
$28$ |
not computed |
\(\Q(\zeta_{28})\) |
odd |
|
✓ |
✓ |
| 833.z |
\(\chi_{833}(16, \cdot)\)$, \cdots ,$\(\chi_{833}(781, \cdot)\)
|
$833$ |
$833$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
✓ |
✓ |
| 833.ba |
\(\chi_{833}(52, \cdot)\)$, \cdots ,$\(\chi_{833}(817, \cdot)\)
|
$833$ |
$49$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 833.bb |
\(\chi_{833}(33, \cdot)\)$, \cdots ,$\(\chi_{833}(747, \cdot)\)
|
$833$ |
$833$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
✓ |
✓ |
| 833.bc |
\(\chi_{833}(31, \cdot)\)$, \cdots ,$\(\chi_{833}(754, \cdot)\)
|
$833$ |
$119$ |
$48$ |
not computed |
\(\Q(\zeta_{48})\) |
even |
|
|
|
| 833.bd |
\(\chi_{833}(79, \cdot)\)$, \cdots ,$\(\chi_{833}(802, \cdot)\)
|
$833$ |
$119$ |
$48$ |
not computed |
\(\Q(\zeta_{48})\) |
odd |
|
|
|
| 833.be |
\(\chi_{833}(76, \cdot)\)$, \cdots ,$\(\chi_{833}(825, \cdot)\)
|
$833$ |
$833$ |
$56$ |
not computed |
$\Q(\zeta_{56})$ |
odd |
|
✓ |
✓ |
| 833.bf |
\(\chi_{833}(8, \cdot)\)$, \cdots ,$\(\chi_{833}(757, \cdot)\)
|
$833$ |
$833$ |
$56$ |
not computed |
$\Q(\zeta_{56})$ |
even |
|
✓ |
✓ |
| 833.bg |
\(\chi_{833}(4, \cdot)\)$, \cdots ,$\(\chi_{833}(795, \cdot)\)
|
$833$ |
$833$ |
$84$ |
not computed |
$\Q(\zeta_{84})$ |
even |
|
✓ |
✓ |
| 833.bh |
\(\chi_{833}(38, \cdot)\)$, \cdots ,$\(\chi_{833}(829, \cdot)\)
|
$833$ |
$833$ |
$84$ |
not computed |
$\Q(\zeta_{84})$ |
odd |
|
✓ |
✓ |
| 833.bi |
\(\chi_{833}(6, \cdot)\)$, \cdots ,$\(\chi_{833}(811, \cdot)\)
|
$833$ |
$833$ |
$112$ |
not computed |
$\Q(\zeta_{112})$ |
even |
|
✓ |
✓ |
| 833.bj |
\(\chi_{833}(22, \cdot)\)$, \cdots ,$\(\chi_{833}(827, \cdot)\)
|
$833$ |
$833$ |
$112$ |
not computed |
$\Q(\zeta_{112})$ |
odd |
|
✓ |
✓ |
| 833.bk |
\(\chi_{833}(26, \cdot)\)$, \cdots ,$\(\chi_{833}(831, \cdot)\)
|
$833$ |
$833$ |
$168$ |
not computed |
$\Q(\zeta_{168})$ |
odd |
|
✓ |
✓ |
| 833.bl |
\(\chi_{833}(2, \cdot)\)$, \cdots ,$\(\chi_{833}(807, \cdot)\)
|
$833$ |
$833$ |
$168$ |
not computed |
$\Q(\zeta_{168})$ |
even |
|
✓ |
✓ |
| 833.bm |
\(\chi_{833}(11, \cdot)\)$, \cdots ,$\(\chi_{833}(830, \cdot)\)
|
$833$ |
$833$ |
$336$ |
not computed |
$\Q(\zeta_{336})$ |
odd |
|
✓ |
✓ |
| 833.bn |
\(\chi_{833}(3, \cdot)\)$, \cdots ,$\(\chi_{833}(822, \cdot)\)
|
$833$ |
$833$ |
$336$ |
not computed |
$\Q(\zeta_{336})$ |
even |
|
✓ |
✓ |
