| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 859.a |
\(\chi_{859}(1, \cdot)\)
|
$859$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 859.b |
\(\chi_{859}(858, \cdot)\)
|
$859$ |
$859$ |
$2$ |
\(\Q(\sqrt{-859}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 859.c |
\(\chi_{859}(260, \cdot)\)$,$ \(\chi_{859}(598, \cdot)\)
|
$859$ |
$859$ |
$3$ |
3.3.737881.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 859.d |
\(\chi_{859}(261, \cdot)\)$,$ \(\chi_{859}(599, \cdot)\)
|
$859$ |
$859$ |
$6$ |
6.0.467698329968299.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 859.e |
\(\chi_{859}(13, \cdot)\)$, \cdots ,$\(\chi_{859}(793, \cdot)\)
|
$859$ |
$859$ |
$11$ |
11.11.218741727855135890482344953401.1 |
\(\Q(\zeta_{11})\) |
even |
|
✓ |
✓ |
| 859.f |
\(\chi_{859}(100, \cdot)\)$, \cdots ,$\(\chi_{859}(849, \cdot)\)
|
$859$ |
$859$ |
$13$ |
not computed |
\(\Q(\zeta_{13})\) |
even |
|
✓ |
✓ |
| 859.g |
\(\chi_{859}(66, \cdot)\)$, \cdots ,$\(\chi_{859}(846, \cdot)\)
|
$859$ |
$859$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
✓ |
✓ |
| 859.h |
\(\chi_{859}(10, \cdot)\)$, \cdots ,$\(\chi_{859}(759, \cdot)\)
|
$859$ |
$859$ |
$26$ |
not computed |
\(\Q(\zeta_{13})\) |
odd |
|
✓ |
✓ |
| 859.i |
\(\chi_{859}(20, \cdot)\)$, \cdots ,$\(\chi_{859}(844, \cdot)\)
|
$859$ |
$859$ |
$33$ |
not computed |
\(\Q(\zeta_{33})\) |
even |
|
✓ |
✓ |
| 859.j |
\(\chi_{859}(33, \cdot)\)$, \cdots ,$\(\chi_{859}(847, \cdot)\)
|
$859$ |
$859$ |
$39$ |
not computed |
$\Q(\zeta_{39})$ |
even |
|
✓ |
✓ |
| 859.k |
\(\chi_{859}(15, \cdot)\)$, \cdots ,$\(\chi_{859}(839, \cdot)\)
|
$859$ |
$859$ |
$66$ |
not computed |
\(\Q(\zeta_{33})\) |
odd |
|
✓ |
✓ |
| 859.l |
\(\chi_{859}(12, \cdot)\)$, \cdots ,$\(\chi_{859}(826, \cdot)\)
|
$859$ |
$859$ |
$78$ |
not computed |
$\Q(\zeta_{39})$ |
odd |
|
✓ |
✓ |
| 859.m |
\(\chi_{859}(6, \cdot)\)$, \cdots ,$\(\chi_{859}(851, \cdot)\)
|
$859$ |
$859$ |
$143$ |
not computed |
$\Q(\zeta_{143})$ |
even |
|
✓ |
✓ |
| 859.n |
\(\chi_{859}(8, \cdot)\)$, \cdots ,$\(\chi_{859}(853, \cdot)\)
|
$859$ |
$859$ |
$286$ |
not computed |
$\Q(\zeta_{143})$ |
odd |
|
✓ |
✓ |
| 859.o |
\(\chi_{859}(4, \cdot)\)$, \cdots ,$\(\chi_{859}(857, \cdot)\)
|
$859$ |
$859$ |
$429$ |
not computed |
$\Q(\zeta_{429})$ |
even |
|
✓ |
✓ |
| 859.p |
\(\chi_{859}(2, \cdot)\)$, \cdots ,$\(\chi_{859}(855, \cdot)\)
|
$859$ |
$859$ |
$858$ |
not computed |
$\Q(\zeta_{429})$ |
odd |
|
✓ |
✓ |
