| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 432.a |
\(\chi_{432}(1, \cdot)\)
|
$432$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
|
| 432.b |
\(\chi_{432}(55, \cdot)\)
|
$432$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 432.c |
\(\chi_{432}(431, \cdot)\)
|
$432$ |
$12$ |
$2$ |
\(\Q(\sqrt{3}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 432.d |
\(\chi_{432}(217, \cdot)\)
|
$432$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
|
| 432.e |
\(\chi_{432}(161, \cdot)\)
|
$432$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 432.f |
\(\chi_{432}(215, \cdot)\)
|
$432$ |
$24$ |
$2$ |
\(\Q(\sqrt{6}) \) |
\(\Q\) |
even |
✓ |
|
|
| 432.g |
\(\chi_{432}(271, \cdot)\)
|
$432$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 432.h |
\(\chi_{432}(377, \cdot)\)
|
$432$ |
$24$ |
$2$ |
\(\Q(\sqrt{-6}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 432.i |
\(\chi_{432}(145, \cdot)\)$,$ \(\chi_{432}(289, \cdot)\)
|
$432$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 432.j |
\(\chi_{432}(53, \cdot)\)$,$ \(\chi_{432}(269, \cdot)\)
|
$432$ |
$48$ |
$4$ |
4.0.18432.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 432.k |
\(\chi_{432}(109, \cdot)\)$,$ \(\chi_{432}(325, \cdot)\)
|
$432$ |
$16$ |
$4$ |
\(\Q(\zeta_{16})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 432.l |
\(\chi_{432}(107, \cdot)\)$,$ \(\chi_{432}(323, \cdot)\)
|
$432$ |
$48$ |
$4$ |
4.4.18432.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 432.m |
\(\chi_{432}(163, \cdot)\)$,$ \(\chi_{432}(379, \cdot)\)
|
$432$ |
$16$ |
$4$ |
4.0.2048.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 432.n |
\(\chi_{432}(89, \cdot)\)$,$ \(\chi_{432}(233, \cdot)\)
|
$432$ |
$72$ |
$6$ |
6.0.10077696.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 432.o |
\(\chi_{432}(127, \cdot)\)$,$ \(\chi_{432}(415, \cdot)\)
|
$432$ |
$36$ |
$6$ |
6.0.419904.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 432.p |
\(\chi_{432}(71, \cdot)\)$,$ \(\chi_{432}(359, \cdot)\)
|
$432$ |
$72$ |
$6$ |
6.6.10077696.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 432.q |
\(\chi_{432}(17, \cdot)\)$,$ \(\chi_{432}(305, \cdot)\)
|
$432$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 432.r |
\(\chi_{432}(73, \cdot)\)$,$ \(\chi_{432}(361, \cdot)\)
|
$432$ |
$72$ |
$6$ |
6.6.3359232.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 432.s |
\(\chi_{432}(143, \cdot)\)$,$ \(\chi_{432}(287, \cdot)\)
|
$432$ |
$36$ |
$6$ |
\(\Q(\zeta_{36})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 432.t |
\(\chi_{432}(199, \cdot)\)$,$ \(\chi_{432}(343, \cdot)\)
|
$432$ |
$72$ |
$6$ |
6.0.3359232.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 432.u |
\(\chi_{432}(49, \cdot)\)$, \cdots ,$\(\chi_{432}(385, \cdot)\)
|
$432$ |
$27$ |
$9$ |
\(\Q(\zeta_{27})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 432.v |
\(\chi_{432}(35, \cdot)\)$, \cdots ,$\(\chi_{432}(395, \cdot)\)
|
$432$ |
$144$ |
$12$ |
12.12.3327916660110655488.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 432.w |
\(\chi_{432}(19, \cdot)\)$, \cdots ,$\(\chi_{432}(307, \cdot)\)
|
$432$ |
$144$ |
$12$ |
12.0.369768517790072832.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 432.x |
\(\chi_{432}(125, \cdot)\)$, \cdots ,$\(\chi_{432}(413, \cdot)\)
|
$432$ |
$144$ |
$12$ |
12.0.3327916660110655488.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 432.y |
\(\chi_{432}(37, \cdot)\)$, \cdots ,$\(\chi_{432}(397, \cdot)\)
|
$432$ |
$144$ |
$12$ |
12.12.369768517790072832.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 432.z |
\(\chi_{432}(7, \cdot)\)$, \cdots ,$\(\chi_{432}(391, \cdot)\)
|
$432$ |
$216$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 432.ba |
\(\chi_{432}(31, \cdot)\)$, \cdots ,$\(\chi_{432}(367, \cdot)\)
|
$432$ |
$108$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 432.bb |
\(\chi_{432}(25, \cdot)\)$, \cdots ,$\(\chi_{432}(409, \cdot)\)
|
$432$ |
$216$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 432.bc |
\(\chi_{432}(65, \cdot)\)$, \cdots ,$\(\chi_{432}(401, \cdot)\)
|
$432$ |
$27$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 432.bd |
\(\chi_{432}(23, \cdot)\)$, \cdots ,$\(\chi_{432}(407, \cdot)\)
|
$432$ |
$216$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 432.be |
\(\chi_{432}(47, \cdot)\)$, \cdots ,$\(\chi_{432}(383, \cdot)\)
|
$432$ |
$108$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 432.bf |
\(\chi_{432}(41, \cdot)\)$, \cdots ,$\(\chi_{432}(425, \cdot)\)
|
$432$ |
$216$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 432.bg |
\(\chi_{432}(13, \cdot)\)$, \cdots ,$\(\chi_{432}(421, \cdot)\)
|
$432$ |
$432$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
✓ |
✓ |
| 432.bh |
\(\chi_{432}(43, \cdot)\)$, \cdots ,$\(\chi_{432}(427, \cdot)\)
|
$432$ |
$432$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
✓ |
✓ |
| 432.bi |
\(\chi_{432}(5, \cdot)\)$, \cdots ,$\(\chi_{432}(389, \cdot)\)
|
$432$ |
$432$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
✓ |
✓ |
| 432.bj |
\(\chi_{432}(11, \cdot)\)$, \cdots ,$\(\chi_{432}(419, \cdot)\)
|
$432$ |
$432$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
✓ |
✓ |
