Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Parity |
Real |
Primitive |
Minimal |
192.a |
\(\chi_{192}(1, \cdot)\)
|
$192$ |
$1$ |
$1$ |
even |
✓ |
|
|
192.b |
\(\chi_{192}(31, \cdot)\)
|
$192$ |
$8$ |
$2$ |
odd |
✓ |
|
✓ |
192.c |
\(\chi_{192}(191, \cdot)\)
|
$192$ |
$12$ |
$2$ |
even |
✓ |
|
|
192.d |
\(\chi_{192}(97, \cdot)\)
|
$192$ |
$8$ |
$2$ |
even |
✓ |
|
✓ |
192.e |
\(\chi_{192}(65, \cdot)\)
|
$192$ |
$3$ |
$2$ |
odd |
✓ |
|
|
192.f |
\(\chi_{192}(95, \cdot)\)
|
$192$ |
$24$ |
$2$ |
even |
✓ |
|
✓ |
192.g |
\(\chi_{192}(127, \cdot)\)
|
$192$ |
$4$ |
$2$ |
odd |
✓ |
|
|
192.h |
\(\chi_{192}(161, \cdot)\)
|
$192$ |
$24$ |
$2$ |
odd |
✓ |
|
✓ |
192.i |
\(\chi_{192}(17, \cdot)\)$,$ \(\chi_{192}(113, \cdot)\)
|
$192$ |
$48$ |
$4$ |
odd |
|
|
|
192.j |
\(\chi_{192}(49, \cdot)\)$,$ \(\chi_{192}(145, \cdot)\)
|
$192$ |
$16$ |
$4$ |
even |
|
|
|
192.k |
\(\chi_{192}(47, \cdot)\)$,$ \(\chi_{192}(143, \cdot)\)
|
$192$ |
$48$ |
$4$ |
even |
|
|
|
192.l |
\(\chi_{192}(79, \cdot)\)$,$ \(\chi_{192}(175, \cdot)\)
|
$192$ |
$16$ |
$4$ |
odd |
|
|
|
192.m |
\(\chi_{192}(7, \cdot)\)$, \cdots ,$\(\chi_{192}(151, \cdot)\)
|
$192$ |
$32$ |
$8$ |
odd |
|
|
|
192.n |
\(\chi_{192}(25, \cdot)\)$, \cdots ,$\(\chi_{192}(169, \cdot)\)
|
$192$ |
$32$ |
$8$ |
even |
|
|
|
192.o |
\(\chi_{192}(23, \cdot)\)$, \cdots ,$\(\chi_{192}(167, \cdot)\)
|
$192$ |
$96$ |
$8$ |
even |
|
|
|
192.p |
\(\chi_{192}(41, \cdot)\)$, \cdots ,$\(\chi_{192}(185, \cdot)\)
|
$192$ |
$96$ |
$8$ |
odd |
|
|
|
192.q |
\(\chi_{192}(5, \cdot)\)$, \cdots ,$\(\chi_{192}(173, \cdot)\)
|
$192$ |
$192$ |
$16$ |
odd |
|
✓ |
✓ |
192.r |
\(\chi_{192}(13, \cdot)\)$, \cdots ,$\(\chi_{192}(181, \cdot)\)
|
$192$ |
$64$ |
$16$ |
even |
|
|
✓ |
192.s |
\(\chi_{192}(11, \cdot)\)$, \cdots ,$\(\chi_{192}(179, \cdot)\)
|
$192$ |
$192$ |
$16$ |
even |
|
✓ |
✓ |
192.t |
\(\chi_{192}(19, \cdot)\)$, \cdots ,$\(\chi_{192}(187, \cdot)\)
|
$192$ |
$64$ |
$16$ |
odd |
|
|
✓ |