| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Parity |
Real |
Primitive |
Minimal |
| 507.a |
\(\chi_{507}(1, \cdot)\)
|
$507$ |
$1$ |
$1$ |
even |
✓ |
|
✓ |
| 507.b |
\(\chi_{507}(337, \cdot)\)
|
$507$ |
$13$ |
$2$ |
even |
✓ |
|
|
| 507.c |
\(\chi_{507}(170, \cdot)\)
|
$507$ |
$3$ |
$2$ |
odd |
✓ |
|
✓ |
| 507.d |
\(\chi_{507}(506, \cdot)\)
|
$507$ |
$39$ |
$2$ |
odd |
✓ |
|
|
| 507.e |
\(\chi_{507}(22, \cdot)\)$,$ \(\chi_{507}(484, \cdot)\)
|
$507$ |
$13$ |
$3$ |
even |
|
|
|
| 507.f |
\(\chi_{507}(239, \cdot)\)$,$ \(\chi_{507}(437, \cdot)\)
|
$507$ |
$39$ |
$4$ |
even |
|
|
✓ |
| 507.g |
\(\chi_{507}(70, \cdot)\)$,$ \(\chi_{507}(268, \cdot)\)
|
$507$ |
$13$ |
$4$ |
odd |
|
|
✓ |
| 507.h |
\(\chi_{507}(23, \cdot)\)$,$ \(\chi_{507}(485, \cdot)\)
|
$507$ |
$39$ |
$6$ |
odd |
|
|
|
| 507.i |
\(\chi_{507}(146, \cdot)\)$,$ \(\chi_{507}(191, \cdot)\)
|
$507$ |
$39$ |
$6$ |
odd |
|
|
|
| 507.j |
\(\chi_{507}(316, \cdot)\)$,$ \(\chi_{507}(361, \cdot)\)
|
$507$ |
$13$ |
$6$ |
even |
|
|
|
| 507.k |
\(\chi_{507}(80, \cdot)\)$, \cdots ,$\(\chi_{507}(488, \cdot)\)
|
$507$ |
$39$ |
$12$ |
even |
|
|
|
| 507.l |
\(\chi_{507}(19, \cdot)\)$, \cdots ,$\(\chi_{507}(427, \cdot)\)
|
$507$ |
$13$ |
$12$ |
odd |
|
|
|
| 507.m |
\(\chi_{507}(40, \cdot)\)$, \cdots ,$\(\chi_{507}(469, \cdot)\)
|
$507$ |
$169$ |
$13$ |
even |
|
|
✓ |
| 507.n |
\(\chi_{507}(38, \cdot)\)$, \cdots ,$\(\chi_{507}(467, \cdot)\)
|
$507$ |
$507$ |
$26$ |
odd |
|
✓ |
✓ |
| 507.o |
\(\chi_{507}(14, \cdot)\)$, \cdots ,$\(\chi_{507}(482, \cdot)\)
|
$507$ |
$507$ |
$26$ |
odd |
|
✓ |
✓ |
| 507.p |
\(\chi_{507}(25, \cdot)\)$, \cdots ,$\(\chi_{507}(493, \cdot)\)
|
$507$ |
$169$ |
$26$ |
even |
|
|
✓ |
| 507.q |
\(\chi_{507}(16, \cdot)\)$, \cdots ,$\(\chi_{507}(490, \cdot)\)
|
$507$ |
$169$ |
$39$ |
even |
|
|
✓ |
| 507.r |
\(\chi_{507}(31, \cdot)\)$, \cdots ,$\(\chi_{507}(502, \cdot)\)
|
$507$ |
$169$ |
$52$ |
odd |
|
|
✓ |
| 507.s |
\(\chi_{507}(5, \cdot)\)$, \cdots ,$\(\chi_{507}(476, \cdot)\)
|
$507$ |
$507$ |
$52$ |
even |
|
✓ |
✓ |
| 507.t |
\(\chi_{507}(4, \cdot)\)$, \cdots ,$\(\chi_{507}(478, \cdot)\)
|
$507$ |
$169$ |
$78$ |
even |
|
|
✓ |
| 507.u |
\(\chi_{507}(29, \cdot)\)$, \cdots ,$\(\chi_{507}(503, \cdot)\)
|
$507$ |
$507$ |
$78$ |
odd |
|
✓ |
✓ |
| 507.v |
\(\chi_{507}(17, \cdot)\)$, \cdots ,$\(\chi_{507}(491, \cdot)\)
|
$507$ |
$507$ |
$78$ |
odd |
|
✓ |
✓ |
| 507.w |
\(\chi_{507}(7, \cdot)\)$, \cdots ,$\(\chi_{507}(505, \cdot)\)
|
$507$ |
$169$ |
$156$ |
odd |
|
|
✓ |
| 507.x |
\(\chi_{507}(2, \cdot)\)$, \cdots ,$\(\chi_{507}(500, \cdot)\)
|
$507$ |
$507$ |
$156$ |
even |
|
✓ |
✓ |
