| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Parity |
Real |
Primitive |
Minimal |
| 539.a |
\(\chi_{539}(1, \cdot)\)
|
$539$ |
$1$ |
$1$ |
even |
✓ |
|
✓ |
| 539.b |
\(\chi_{539}(538, \cdot)\)
|
$539$ |
$77$ |
$2$ |
even |
✓ |
|
✓ |
| 539.c |
\(\chi_{539}(197, \cdot)\)
|
$539$ |
$11$ |
$2$ |
odd |
✓ |
|
✓ |
| 539.d |
\(\chi_{539}(342, \cdot)\)
|
$539$ |
$7$ |
$2$ |
odd |
✓ |
|
✓ |
| 539.e |
\(\chi_{539}(67, \cdot)\)$,$ \(\chi_{539}(177, \cdot)\)
|
$539$ |
$7$ |
$3$ |
even |
|
|
|
| 539.f |
\(\chi_{539}(148, \cdot)\)$, \cdots ,$\(\chi_{539}(344, \cdot)\)
|
$539$ |
$11$ |
$5$ |
even |
|
|
✓ |
| 539.g |
\(\chi_{539}(166, \cdot)\)$,$ \(\chi_{539}(276, \cdot)\)
|
$539$ |
$7$ |
$6$ |
odd |
|
|
|
| 539.h |
\(\chi_{539}(263, \cdot)\)$,$ \(\chi_{539}(373, \cdot)\)
|
$539$ |
$77$ |
$6$ |
odd |
|
|
|
| 539.i |
\(\chi_{539}(362, \cdot)\)$,$ \(\chi_{539}(472, \cdot)\)
|
$539$ |
$77$ |
$6$ |
even |
|
|
|
| 539.j |
\(\chi_{539}(78, \cdot)\)$, \cdots ,$\(\chi_{539}(463, \cdot)\)
|
$539$ |
$49$ |
$7$ |
even |
|
|
✓ |
| 539.k |
\(\chi_{539}(48, \cdot)\)$, \cdots ,$\(\chi_{539}(489, \cdot)\)
|
$539$ |
$77$ |
$10$ |
odd |
|
|
✓ |
| 539.l |
\(\chi_{539}(50, \cdot)\)$, \cdots ,$\(\chi_{539}(491, \cdot)\)
|
$539$ |
$11$ |
$10$ |
odd |
|
|
✓ |
| 539.m |
\(\chi_{539}(195, \cdot)\)$, \cdots ,$\(\chi_{539}(391, \cdot)\)
|
$539$ |
$77$ |
$10$ |
even |
|
|
✓ |
| 539.n |
\(\chi_{539}(34, \cdot)\)$, \cdots ,$\(\chi_{539}(496, \cdot)\)
|
$539$ |
$49$ |
$14$ |
odd |
|
|
✓ |
| 539.o |
\(\chi_{539}(43, \cdot)\)$, \cdots ,$\(\chi_{539}(505, \cdot)\)
|
$539$ |
$539$ |
$14$ |
odd |
|
✓ |
✓ |
| 539.p |
\(\chi_{539}(76, \cdot)\)$, \cdots ,$\(\chi_{539}(461, \cdot)\)
|
$539$ |
$539$ |
$14$ |
even |
|
✓ |
✓ |
| 539.q |
\(\chi_{539}(214, \cdot)\)$, \cdots ,$\(\chi_{539}(520, \cdot)\)
|
$539$ |
$77$ |
$15$ |
even |
|
|
|
| 539.r |
\(\chi_{539}(23, \cdot)\)$, \cdots ,$\(\chi_{539}(529, \cdot)\)
|
$539$ |
$49$ |
$21$ |
even |
|
|
✓ |
| 539.s |
\(\chi_{539}(19, \cdot)\)$, \cdots ,$\(\chi_{539}(325, \cdot)\)
|
$539$ |
$77$ |
$30$ |
even |
|
|
|
| 539.t |
\(\chi_{539}(18, \cdot)\)$, \cdots ,$\(\chi_{539}(508, \cdot)\)
|
$539$ |
$77$ |
$30$ |
odd |
|
|
|
| 539.u |
\(\chi_{539}(31, \cdot)\)$, \cdots ,$\(\chi_{539}(521, \cdot)\)
|
$539$ |
$77$ |
$30$ |
odd |
|
|
|
| 539.v |
\(\chi_{539}(15, \cdot)\)$, \cdots ,$\(\chi_{539}(533, \cdot)\)
|
$539$ |
$539$ |
$35$ |
even |
|
✓ |
✓ |
| 539.w |
\(\chi_{539}(10, \cdot)\)$, \cdots ,$\(\chi_{539}(516, \cdot)\)
|
$539$ |
$539$ |
$42$ |
even |
|
✓ |
✓ |
| 539.x |
\(\chi_{539}(32, \cdot)\)$, \cdots ,$\(\chi_{539}(527, \cdot)\)
|
$539$ |
$539$ |
$42$ |
odd |
|
✓ |
✓ |
| 539.y |
\(\chi_{539}(12, \cdot)\)$, \cdots ,$\(\chi_{539}(507, \cdot)\)
|
$539$ |
$49$ |
$42$ |
odd |
|
|
✓ |
| 539.z |
\(\chi_{539}(6, \cdot)\)$, \cdots ,$\(\chi_{539}(524, \cdot)\)
|
$539$ |
$539$ |
$70$ |
even |
|
✓ |
✓ |
| 539.ba |
\(\chi_{539}(8, \cdot)\)$, \cdots ,$\(\chi_{539}(519, \cdot)\)
|
$539$ |
$539$ |
$70$ |
odd |
|
✓ |
✓ |
| 539.bb |
\(\chi_{539}(20, \cdot)\)$, \cdots ,$\(\chi_{539}(531, \cdot)\)
|
$539$ |
$539$ |
$70$ |
odd |
|
✓ |
✓ |
| 539.bc |
\(\chi_{539}(4, \cdot)\)$, \cdots ,$\(\chi_{539}(522, \cdot)\)
|
$539$ |
$539$ |
$105$ |
even |
|
✓ |
✓ |
| 539.bd |
\(\chi_{539}(3, \cdot)\)$, \cdots ,$\(\chi_{539}(537, \cdot)\)
|
$539$ |
$539$ |
$210$ |
odd |
|
✓ |
✓ |
| 539.be |
\(\chi_{539}(2, \cdot)\)$, \cdots ,$\(\chi_{539}(536, \cdot)\)
|
$539$ |
$539$ |
$210$ |
odd |
|
✓ |
✓ |
| 539.bf |
\(\chi_{539}(17, \cdot)\)$, \cdots ,$\(\chi_{539}(535, \cdot)\)
|
$539$ |
$539$ |
$210$ |
even |
|
✓ |
✓ |
