| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 405.a |
\(\chi_{405}(1, \cdot)\)
|
$405$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 405.b |
\(\chi_{405}(244, \cdot)\)
|
$405$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 405.c |
\(\chi_{405}(161, \cdot)\)
|
$405$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 405.d |
\(\chi_{405}(404, \cdot)\)
|
$405$ |
$15$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 405.e |
\(\chi_{405}(136, \cdot)\)$,$ \(\chi_{405}(271, \cdot)\)
|
$405$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 405.f |
\(\chi_{405}(242, \cdot)\)$,$ \(\chi_{405}(323, \cdot)\)
|
$405$ |
$15$ |
$4$ |
\(\Q(\zeta_{15})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 405.g |
\(\chi_{405}(82, \cdot)\)$,$ \(\chi_{405}(163, \cdot)\)
|
$405$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 405.h |
\(\chi_{405}(134, \cdot)\)$,$ \(\chi_{405}(269, \cdot)\)
|
$405$ |
$45$ |
$6$ |
6.0.2460375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 405.i |
\(\chi_{405}(26, \cdot)\)$,$ \(\chi_{405}(296, \cdot)\)
|
$405$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 405.j |
\(\chi_{405}(109, \cdot)\)$,$ \(\chi_{405}(379, \cdot)\)
|
$405$ |
$45$ |
$6$ |
6.6.820125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 405.k |
\(\chi_{405}(46, \cdot)\)$, \cdots ,$\(\chi_{405}(361, \cdot)\)
|
$405$ |
$27$ |
$9$ |
\(\Q(\zeta_{27})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 405.l |
\(\chi_{405}(28, \cdot)\)$, \cdots ,$\(\chi_{405}(352, \cdot)\)
|
$405$ |
$45$ |
$12$ |
12.0.84075626953125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 405.m |
\(\chi_{405}(53, \cdot)\)$, \cdots ,$\(\chi_{405}(377, \cdot)\)
|
$405$ |
$45$ |
$12$ |
\(\Q(\zeta_{45})^+\) |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 405.n |
\(\chi_{405}(44, \cdot)\)$, \cdots ,$\(\chi_{405}(359, \cdot)\)
|
$405$ |
$135$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 405.o |
\(\chi_{405}(71, \cdot)\)$, \cdots ,$\(\chi_{405}(386, \cdot)\)
|
$405$ |
$27$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 405.p |
\(\chi_{405}(19, \cdot)\)$, \cdots ,$\(\chi_{405}(334, \cdot)\)
|
$405$ |
$135$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 405.q |
\(\chi_{405}(16, \cdot)\)$, \cdots ,$\(\chi_{405}(391, \cdot)\)
|
$405$ |
$81$ |
$27$ |
not computed |
\(\Q(\zeta_{27})\) |
even |
|
|
✓ |
| 405.r |
\(\chi_{405}(8, \cdot)\)$, \cdots ,$\(\chi_{405}(368, \cdot)\)
|
$405$ |
$135$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
|
|
| 405.s |
\(\chi_{405}(37, \cdot)\)$, \cdots ,$\(\chi_{405}(397, \cdot)\)
|
$405$ |
$135$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
|
|
| 405.t |
\(\chi_{405}(4, \cdot)\)$, \cdots ,$\(\chi_{405}(394, \cdot)\)
|
$405$ |
$405$ |
$54$ |
not computed |
\(\Q(\zeta_{27})\) |
even |
|
✓ |
✓ |
| 405.u |
\(\chi_{405}(11, \cdot)\)$, \cdots ,$\(\chi_{405}(401, \cdot)\)
|
$405$ |
$81$ |
$54$ |
not computed |
\(\Q(\zeta_{27})\) |
odd |
|
|
✓ |
| 405.v |
\(\chi_{405}(14, \cdot)\)$, \cdots ,$\(\chi_{405}(389, \cdot)\)
|
$405$ |
$405$ |
$54$ |
not computed |
\(\Q(\zeta_{27})\) |
odd |
|
✓ |
✓ |
| 405.w |
\(\chi_{405}(7, \cdot)\)$, \cdots ,$\(\chi_{405}(403, \cdot)\)
|
$405$ |
$405$ |
$108$ |
not computed |
$\Q(\zeta_{108})$ |
odd |
|
✓ |
✓ |
| 405.x |
\(\chi_{405}(2, \cdot)\)$, \cdots ,$\(\chi_{405}(398, \cdot)\)
|
$405$ |
$405$ |
$108$ |
not computed |
$\Q(\zeta_{108})$ |
even |
|
✓ |
✓ |
