Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Parity |
Real |
Primitive |
Minimal |
576.a |
\(\chi_{576}(1, \cdot)\)
|
$576$ |
$1$ |
$1$ |
even |
✓ |
|
|
576.b |
\(\chi_{576}(415, \cdot)\)
|
$576$ |
$8$ |
$2$ |
odd |
✓ |
|
✓ |
576.c |
\(\chi_{576}(575, \cdot)\)
|
$576$ |
$12$ |
$2$ |
even |
✓ |
|
|
576.d |
\(\chi_{576}(289, \cdot)\)
|
$576$ |
$8$ |
$2$ |
even |
✓ |
|
✓ |
576.e |
\(\chi_{576}(449, \cdot)\)
|
$576$ |
$3$ |
$2$ |
odd |
✓ |
|
|
576.f |
\(\chi_{576}(287, \cdot)\)
|
$576$ |
$24$ |
$2$ |
even |
✓ |
|
✓ |
576.g |
\(\chi_{576}(127, \cdot)\)
|
$576$ |
$4$ |
$2$ |
odd |
✓ |
|
|
576.h |
\(\chi_{576}(161, \cdot)\)
|
$576$ |
$24$ |
$2$ |
odd |
✓ |
|
✓ |
576.i |
\(\chi_{576}(193, \cdot)\)$,$ \(\chi_{576}(385, \cdot)\)
|
$576$ |
$9$ |
$3$ |
even |
|
|
|
576.j |
\(\chi_{576}(17, \cdot)\)$,$ \(\chi_{576}(305, \cdot)\)
|
$576$ |
$48$ |
$4$ |
odd |
|
|
|
576.k |
\(\chi_{576}(145, \cdot)\)$,$ \(\chi_{576}(433, \cdot)\)
|
$576$ |
$16$ |
$4$ |
even |
|
|
|
576.l |
\(\chi_{576}(143, \cdot)\)$,$ \(\chi_{576}(431, \cdot)\)
|
$576$ |
$48$ |
$4$ |
even |
|
|
|
576.m |
\(\chi_{576}(271, \cdot)\)$,$ \(\chi_{576}(559, \cdot)\)
|
$576$ |
$16$ |
$4$ |
odd |
|
|
|
576.n |
\(\chi_{576}(353, \cdot)\)$,$ \(\chi_{576}(545, \cdot)\)
|
$576$ |
$72$ |
$6$ |
odd |
|
|
✓ |
576.o |
\(\chi_{576}(319, \cdot)\)$,$ \(\chi_{576}(511, \cdot)\)
|
$576$ |
$36$ |
$6$ |
odd |
|
|
|
576.p |
\(\chi_{576}(95, \cdot)\)$,$ \(\chi_{576}(479, \cdot)\)
|
$576$ |
$72$ |
$6$ |
even |
|
|
✓ |
576.q |
\(\chi_{576}(65, \cdot)\)$,$ \(\chi_{576}(257, \cdot)\)
|
$576$ |
$9$ |
$6$ |
odd |
|
|
|
576.r |
\(\chi_{576}(97, \cdot)\)$,$ \(\chi_{576}(481, \cdot)\)
|
$576$ |
$72$ |
$6$ |
even |
|
|
✓ |
576.s |
\(\chi_{576}(191, \cdot)\)$,$ \(\chi_{576}(383, \cdot)\)
|
$576$ |
$36$ |
$6$ |
even |
|
|
|
576.t |
\(\chi_{576}(31, \cdot)\)$,$ \(\chi_{576}(223, \cdot)\)
|
$576$ |
$72$ |
$6$ |
odd |
|
|
✓ |
576.u |
\(\chi_{576}(55, \cdot)\)$, \cdots ,$\(\chi_{576}(487, \cdot)\)
|
$576$ |
$32$ |
$8$ |
odd |
|
|
|
576.v |
\(\chi_{576}(73, \cdot)\)$, \cdots ,$\(\chi_{576}(505, \cdot)\)
|
$576$ |
$32$ |
$8$ |
even |
|
|
|
576.w |
\(\chi_{576}(71, \cdot)\)$, \cdots ,$\(\chi_{576}(503, \cdot)\)
|
$576$ |
$96$ |
$8$ |
even |
|
|
|
576.x |
\(\chi_{576}(89, \cdot)\)$, \cdots ,$\(\chi_{576}(521, \cdot)\)
|
$576$ |
$96$ |
$8$ |
odd |
|
|
|
576.y |
\(\chi_{576}(47, \cdot)\)$, \cdots ,$\(\chi_{576}(527, \cdot)\)
|
$576$ |
$144$ |
$12$ |
even |
|
|
|
576.z |
\(\chi_{576}(79, \cdot)\)$, \cdots ,$\(\chi_{576}(463, \cdot)\)
|
$576$ |
$144$ |
$12$ |
odd |
|
|
|
576.ba |
\(\chi_{576}(113, \cdot)\)$, \cdots ,$\(\chi_{576}(497, \cdot)\)
|
$576$ |
$144$ |
$12$ |
odd |
|
|
|
576.bb |
\(\chi_{576}(49, \cdot)\)$, \cdots ,$\(\chi_{576}(529, \cdot)\)
|
$576$ |
$144$ |
$12$ |
even |
|
|
|
576.bc |
\(\chi_{576}(53, \cdot)\)$, \cdots ,$\(\chi_{576}(557, \cdot)\)
|
$576$ |
$192$ |
$16$ |
odd |
|
|
✓ |
576.bd |
\(\chi_{576}(37, \cdot)\)$, \cdots ,$\(\chi_{576}(541, \cdot)\)
|
$576$ |
$64$ |
$16$ |
even |
|
|
✓ |
576.be |
\(\chi_{576}(35, \cdot)\)$, \cdots ,$\(\chi_{576}(539, \cdot)\)
|
$576$ |
$192$ |
$16$ |
even |
|
|
✓ |
576.bf |
\(\chi_{576}(19, \cdot)\)$, \cdots ,$\(\chi_{576}(523, \cdot)\)
|
$576$ |
$64$ |
$16$ |
odd |
|
|
✓ |
576.bg |
\(\chi_{576}(25, \cdot)\)$, \cdots ,$\(\chi_{576}(553, \cdot)\)
|
$576$ |
$288$ |
$24$ |
even |
|
|
|
576.bh |
\(\chi_{576}(7, \cdot)\)$, \cdots ,$\(\chi_{576}(535, \cdot)\)
|
$576$ |
$288$ |
$24$ |
odd |
|
|
|
576.bi |
\(\chi_{576}(41, \cdot)\)$, \cdots ,$\(\chi_{576}(569, \cdot)\)
|
$576$ |
$288$ |
$24$ |
odd |
|
|
|
576.bj |
\(\chi_{576}(23, \cdot)\)$, \cdots ,$\(\chi_{576}(551, \cdot)\)
|
$576$ |
$288$ |
$24$ |
even |
|
|
|
576.bk |
\(\chi_{576}(43, \cdot)\)$, \cdots ,$\(\chi_{576}(571, \cdot)\)
|
$576$ |
$576$ |
$48$ |
odd |
|
✓ |
✓ |
576.bl |
\(\chi_{576}(11, \cdot)\)$, \cdots ,$\(\chi_{576}(563, \cdot)\)
|
$576$ |
$576$ |
$48$ |
even |
|
✓ |
✓ |
576.bm |
\(\chi_{576}(13, \cdot)\)$, \cdots ,$\(\chi_{576}(565, \cdot)\)
|
$576$ |
$576$ |
$48$ |
even |
|
✓ |
✓ |
576.bn |
\(\chi_{576}(5, \cdot)\)$, \cdots ,$\(\chi_{576}(533, \cdot)\)
|
$576$ |
$576$ |
$48$ |
odd |
|
✓ |
✓ |