Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Parity |
Real |
Primitive |
Minimal |
8470.a |
\(\chi_{8470}(1, \cdot)\)
|
$8470$ |
$1$ |
$1$ |
even |
✓ |
|
✓ |
8470.b |
\(\chi_{8470}(2421, \cdot)\)
|
$8470$ |
$7$ |
$2$ |
odd |
✓ |
|
✓ |
8470.c |
\(\chi_{8470}(3389, \cdot)\)
|
$8470$ |
$5$ |
$2$ |
even |
✓ |
|
✓ |
8470.d |
\(\chi_{8470}(6049, \cdot)\)
|
$8470$ |
$55$ |
$2$ |
odd |
✓ |
|
✓ |
8470.e |
\(\chi_{8470}(5081, \cdot)\)
|
$8470$ |
$77$ |
$2$ |
even |
✓ |
|
✓ |
8470.f |
\(\chi_{8470}(2661, \cdot)\)
|
$8470$ |
$11$ |
$2$ |
odd |
✓ |
|
✓ |
8470.g |
\(\chi_{8470}(8469, \cdot)\)
|
$8470$ |
$385$ |
$2$ |
even |
✓ |
|
✓ |
8470.h |
\(\chi_{8470}(5809, \cdot)\)
|
$8470$ |
$35$ |
$2$ |
odd |
✓ |
|
✓ |
8470.i |
\(\chi_{8470}(4841, \cdot)\)$,$ \(\chi_{8470}(7261, \cdot)\)
|
$8470$ |
$7$ |
$3$ |
even |
|
|
✓ |
8470.j |
\(\chi_{8470}(5083, \cdot)\)$,$ \(\chi_{8470}(6777, \cdot)\)
|
$8470$ |
$5$ |
$4$ |
odd |
|
|
✓ |
8470.k |
\(\chi_{8470}(1693, \cdot)\)$,$ \(\chi_{8470}(3387, \cdot)\)
|
$8470$ |
$385$ |
$4$ |
odd |
|
|
✓ |
8470.l |
\(\chi_{8470}(727, \cdot)\)$,$ \(\chi_{8470}(7503, \cdot)\)
|
$8470$ |
$35$ |
$4$ |
even |
|
|
✓ |
8470.m |
\(\chi_{8470}(967, \cdot)\)$,$ \(\chi_{8470}(7743, \cdot)\)
|
$8470$ |
$55$ |
$4$ |
even |
|
|
✓ |
8470.n |
\(\chi_{8470}(3711, \cdot)\)$, \cdots ,$\(\chi_{8470}(7771, \cdot)\)
|
$8470$ |
$11$ |
$5$ |
even |
|
|
|
8470.o |
\(\chi_{8470}(1209, \cdot)\)$,$ \(\chi_{8470}(3629, \cdot)\)
|
$8470$ |
$385$ |
$6$ |
even |
|
|
✓ |
8470.p |
\(\chi_{8470}(1451, \cdot)\)$,$ \(\chi_{8470}(7501, \cdot)\)
|
$8470$ |
$77$ |
$6$ |
odd |
|
|
✓ |
8470.q |
\(\chi_{8470}(969, \cdot)\)$,$ \(\chi_{8470}(7019, \cdot)\)
|
$8470$ |
$35$ |
$6$ |
odd |
|
|
✓ |
8470.r |
\(\chi_{8470}(2179, \cdot)\)$,$ \(\chi_{8470}(8229, \cdot)\)
|
$8470$ |
$35$ |
$6$ |
even |
|
|
✓ |
8470.s |
\(\chi_{8470}(3631, \cdot)\)$,$ \(\chi_{8470}(6051, \cdot)\)
|
$8470$ |
$7$ |
$6$ |
odd |
|
|
✓ |
8470.t |
\(\chi_{8470}(241, \cdot)\)$,$ \(\chi_{8470}(6291, \cdot)\)
|
$8470$ |
$77$ |
$6$ |
even |
|
|
✓ |
8470.u |
\(\chi_{8470}(2419, \cdot)\)$,$ \(\chi_{8470}(4839, \cdot)\)
|
$8470$ |
$385$ |
$6$ |
odd |
|
|
✓ |
8470.v |
\(\chi_{8470}(1049, \cdot)\)$, \cdots ,$\(\chi_{8470}(5109, \cdot)\)
|
$8470$ |
$385$ |
$10$ |
odd |
|
|
|
8470.w |
\(\chi_{8470}(699, \cdot)\)$, \cdots ,$\(\chi_{8470}(4759, \cdot)\)
|
$8470$ |
$385$ |
$10$ |
even |
|
|
|
8470.x |
\(\chi_{8470}(3361, \cdot)\)$, \cdots ,$\(\chi_{8470}(7421, \cdot)\)
|
$8470$ |
$11$ |
$10$ |
odd |
|
|
|
8470.y |
\(\chi_{8470}(1371, \cdot)\)$, \cdots ,$\(\chi_{8470}(7741, \cdot)\)
|
$8470$ |
$77$ |
$10$ |
even |
|
|
|
8470.z |
\(\chi_{8470}(239, \cdot)\)$, \cdots ,$\(\chi_{8470}(8219, \cdot)\)
|
$8470$ |
$55$ |
$10$ |
odd |
|
|
|
8470.ba |
\(\chi_{8470}(729, \cdot)\)$, \cdots ,$\(\chi_{8470}(7099, \cdot)\)
|
$8470$ |
$55$ |
$10$ |
even |
|
|
|
8470.bb |
\(\chi_{8470}(251, \cdot)\)$, \cdots ,$\(\chi_{8470}(8231, \cdot)\)
|
$8470$ |
$77$ |
$10$ |
odd |
|
|
|
8470.bc |
\(\chi_{8470}(771, \cdot)\)$, \cdots ,$\(\chi_{8470}(7701, \cdot)\)
|
$8470$ |
$121$ |
$11$ |
even |
|
|
✓ |
8470.bd |
\(\chi_{8470}(243, \cdot)\)$, \cdots ,$\(\chi_{8470}(4357, \cdot)\)
|
$8470$ |
$35$ |
$12$ |
even |
|
|
✓ |
8470.be |
\(\chi_{8470}(4113, \cdot)\)$, \cdots ,$\(\chi_{8470}(8227, \cdot)\)
|
$8470$ |
$385$ |
$12$ |
even |
|
|
✓ |
8470.bf |
\(\chi_{8470}(1453, \cdot)\)$, \cdots ,$\(\chi_{8470}(5567, \cdot)\)
|
$8470$ |
$35$ |
$12$ |
odd |
|
|
✓ |
8470.bg |
\(\chi_{8470}(2903, \cdot)\)$, \cdots ,$\(\chi_{8470}(7017, \cdot)\)
|
$8470$ |
$385$ |
$12$ |
odd |
|
|
✓ |
8470.bh |
\(\chi_{8470}(81, \cdot)\)$, \cdots ,$\(\chi_{8470}(6561, \cdot)\)
|
$8470$ |
$77$ |
$15$ |
even |
|
|
|
8470.bi |
\(\chi_{8470}(1443, \cdot)\)$, \cdots ,$\(\chi_{8470}(8443, \cdot)\)
|
$8470$ |
$55$ |
$20$ |
even |
|
|
|
8470.bj |
\(\chi_{8470}(27, \cdot)\)$, \cdots ,$\(\chi_{8470}(7027, \cdot)\)
|
$8470$ |
$385$ |
$20$ |
even |
|
|
|
8470.bk |
\(\chi_{8470}(2393, \cdot)\)$, \cdots ,$\(\chi_{8470}(8147, \cdot)\)
|
$8470$ |
$385$ |
$20$ |
odd |
|
|
|
8470.bl |
\(\chi_{8470}(323, \cdot)\)$, \cdots ,$\(\chi_{8470}(6077, \cdot)\)
|
$8470$ |
$55$ |
$20$ |
odd |
|
|
|
8470.bm |
\(\chi_{8470}(461, \cdot)\)$, \cdots ,$\(\chi_{8470}(8161, \cdot)\)
|
$8470$ |
$847$ |
$22$ |
even |
|
|
✓ |
8470.bn |
\(\chi_{8470}(659, \cdot)\)$, \cdots ,$\(\chi_{8470}(8359, \cdot)\)
|
$8470$ |
$605$ |
$22$ |
odd |
|
|
✓ |
8470.bo |
\(\chi_{8470}(309, \cdot)\)$, \cdots ,$\(\chi_{8470}(8009, \cdot)\)
|
$8470$ |
$605$ |
$22$ |
even |
|
|
✓ |
8470.bp |
\(\chi_{8470}(111, \cdot)\)$, \cdots ,$\(\chi_{8470}(7811, \cdot)\)
|
$8470$ |
$847$ |
$22$ |
odd |
|
|
✓ |
8470.bq |
\(\chi_{8470}(419, \cdot)\)$, \cdots ,$\(\chi_{8470}(8119, \cdot)\)
|
$8470$ |
$4235$ |
$22$ |
odd |
|
|
✓ |
8470.br |
\(\chi_{8470}(769, \cdot)\)$, \cdots ,$\(\chi_{8470}(7699, \cdot)\)
|
$8470$ |
$4235$ |
$22$ |
even |
|
|
✓ |
8470.bs |
\(\chi_{8470}(351, \cdot)\)$, \cdots ,$\(\chi_{8470}(8051, \cdot)\)
|
$8470$ |
$121$ |
$22$ |
odd |
|
|
✓ |
8470.bt |
\(\chi_{8470}(1129, \cdot)\)$, \cdots ,$\(\chi_{8470}(7499, \cdot)\)
|
$8470$ |
$385$ |
$30$ |
odd |
|
|
|
8470.bu |
\(\chi_{8470}(481, \cdot)\)$, \cdots ,$\(\chi_{8470}(8461, \cdot)\)
|
$8470$ |
$77$ |
$30$ |
even |
|
|
|
8470.bv |
\(\chi_{8470}(971, \cdot)\)$, \cdots ,$\(\chi_{8470}(7341, \cdot)\)
|
$8470$ |
$77$ |
$30$ |
odd |
|
|
|
8470.bw |
\(\chi_{8470}(9, \cdot)\)$, \cdots ,$\(\chi_{8470}(7989, \cdot)\)
|
$8470$ |
$385$ |
$30$ |
even |
|
|
|
8470.bx |
\(\chi_{8470}(269, \cdot)\)$, \cdots ,$\(\chi_{8470}(7269, \cdot)\)
|
$8470$ |
$385$ |
$30$ |
odd |
|
|
|