| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 378.a |
\(\chi_{378}(1, \cdot)\)
|
$378$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 378.b |
\(\chi_{378}(323, \cdot)\)
|
$378$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 378.c |
\(\chi_{378}(55, \cdot)\)
|
$378$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 378.d |
\(\chi_{378}(377, \cdot)\)
|
$378$ |
$21$ |
$2$ |
\(\Q(\sqrt{21}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 378.e |
\(\chi_{378}(37, \cdot)\)$,$ \(\chi_{378}(235, \cdot)\)
|
$378$ |
$63$ |
$3$ |
3.3.3969.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 378.f |
\(\chi_{378}(127, \cdot)\)$,$ \(\chi_{378}(253, \cdot)\)
|
$378$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 378.g |
\(\chi_{378}(109, \cdot)\)$,$ \(\chi_{378}(163, \cdot)\)
|
$378$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 378.h |
\(\chi_{378}(289, \cdot)\)$,$ \(\chi_{378}(361, \cdot)\)
|
$378$ |
$63$ |
$3$ |
3.3.3969.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 378.i |
\(\chi_{378}(179, \cdot)\)$,$ \(\chi_{378}(359, \cdot)\)
|
$378$ |
$63$ |
$6$ |
6.0.47258883.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 378.j |
\(\chi_{378}(19, \cdot)\)$,$ \(\chi_{378}(199, \cdot)\)
|
$378$ |
$63$ |
$6$ |
6.0.110270727.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 378.k |
\(\chi_{378}(215, \cdot)\)$,$ \(\chi_{378}(269, \cdot)\)
|
$378$ |
$21$ |
$6$ |
\(\Q(\zeta_{21})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 378.l |
\(\chi_{378}(143, \cdot)\)$,$ \(\chi_{378}(341, \cdot)\)
|
$378$ |
$63$ |
$6$ |
6.6.330812181.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 378.m |
\(\chi_{378}(125, \cdot)\)$,$ \(\chi_{378}(251, \cdot)\)
|
$378$ |
$63$ |
$6$ |
6.6.6751269.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 378.n |
\(\chi_{378}(271, \cdot)\)$,$ \(\chi_{378}(325, \cdot)\)
|
$378$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 378.o |
\(\chi_{378}(181, \cdot)\)$,$ \(\chi_{378}(307, \cdot)\)
|
$378$ |
$63$ |
$6$ |
6.0.2250423.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 378.p |
\(\chi_{378}(73, \cdot)\)$,$ \(\chi_{378}(145, \cdot)\)
|
$378$ |
$63$ |
$6$ |
6.0.110270727.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 378.q |
\(\chi_{378}(71, \cdot)\)$,$ \(\chi_{378}(197, \cdot)\)
|
$378$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 378.r |
\(\chi_{378}(233, \cdot)\)$,$ \(\chi_{378}(305, \cdot)\)
|
$378$ |
$63$ |
$6$ |
6.0.47258883.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 378.s |
\(\chi_{378}(53, \cdot)\)$,$ \(\chi_{378}(107, \cdot)\)
|
$378$ |
$21$ |
$6$ |
6.0.64827.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 378.t |
\(\chi_{378}(17, \cdot)\)$,$ \(\chi_{378}(89, \cdot)\)
|
$378$ |
$63$ |
$6$ |
6.6.330812181.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 378.u |
\(\chi_{378}(43, \cdot)\)$, \cdots ,$\(\chi_{378}(337, \cdot)\)
|
$378$ |
$27$ |
$9$ |
\(\Q(\zeta_{27})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 378.v |
\(\chi_{378}(67, \cdot)\)$, \cdots ,$\(\chi_{378}(331, \cdot)\)
|
$378$ |
$189$ |
$9$ |
9.9.3691950281939241.1 |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 378.w |
\(\chi_{378}(25, \cdot)\)$, \cdots ,$\(\chi_{378}(373, \cdot)\)
|
$378$ |
$189$ |
$9$ |
9.9.3691950281939241.2 |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 378.x |
\(\chi_{378}(103, \cdot)\)$, \cdots ,$\(\chi_{378}(367, \cdot)\)
|
$378$ |
$189$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 378.y |
\(\chi_{378}(11, \cdot)\)$, \cdots ,$\(\chi_{378}(275, \cdot)\)
|
$378$ |
$189$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 378.z |
\(\chi_{378}(41, \cdot)\)$, \cdots ,$\(\chi_{378}(335, \cdot)\)
|
$378$ |
$189$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 378.ba |
\(\chi_{378}(47, \cdot)\)$, \cdots ,$\(\chi_{378}(311, \cdot)\)
|
$378$ |
$189$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 378.bb |
\(\chi_{378}(29, \cdot)\)$, \cdots ,$\(\chi_{378}(365, \cdot)\)
|
$378$ |
$27$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 378.bc |
\(\chi_{378}(65, \cdot)\)$, \cdots ,$\(\chi_{378}(347, \cdot)\)
|
$378$ |
$189$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 378.bd |
\(\chi_{378}(13, \cdot)\)$, \cdots ,$\(\chi_{378}(349, \cdot)\)
|
$378$ |
$189$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 378.be |
\(\chi_{378}(31, \cdot)\)$, \cdots ,$\(\chi_{378}(313, \cdot)\)
|
$378$ |
$189$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 378.bf |
\(\chi_{378}(5, \cdot)\)$, \cdots ,$\(\chi_{378}(353, \cdot)\)
|
$378$ |
$189$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
