| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 165.a |
\(\chi_{165}(1, \cdot)\)
|
$165$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 165.b |
\(\chi_{165}(76, \cdot)\)
|
$165$ |
$11$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 165.c |
\(\chi_{165}(34, \cdot)\)
|
$165$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 165.d |
\(\chi_{165}(164, \cdot)\)
|
$165$ |
$165$ |
$2$ |
\(\Q(\sqrt{165}) \) |
\(\Q\) |
even |
✓ |
✓ |
✓ |
| 165.e |
\(\chi_{165}(56, \cdot)\)
|
$165$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 165.f |
\(\chi_{165}(131, \cdot)\)
|
$165$ |
$33$ |
$2$ |
\(\Q(\sqrt{33}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 165.g |
\(\chi_{165}(89, \cdot)\)
|
$165$ |
$15$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 165.h |
\(\chi_{165}(109, \cdot)\)
|
$165$ |
$55$ |
$2$ |
\(\Q(\sqrt{-55}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 165.i |
\(\chi_{165}(67, \cdot)\)$,$ \(\chi_{165}(133, \cdot)\)
|
$165$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 165.j |
\(\chi_{165}(43, \cdot)\)$,$ \(\chi_{165}(142, \cdot)\)
|
$165$ |
$55$ |
$4$ |
4.4.15125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 165.k |
\(\chi_{165}(23, \cdot)\)$,$ \(\chi_{165}(122, \cdot)\)
|
$165$ |
$15$ |
$4$ |
\(\Q(\zeta_{15})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 165.l |
\(\chi_{165}(32, \cdot)\)$,$ \(\chi_{165}(98, \cdot)\)
|
$165$ |
$165$ |
$4$ |
4.0.136125.2 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 165.m |
\(\chi_{165}(16, \cdot)\)$, \cdots ,$\(\chi_{165}(136, \cdot)\)
|
$165$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 165.n |
\(\chi_{165}(19, \cdot)\)$, \cdots ,$\(\chi_{165}(139, \cdot)\)
|
$165$ |
$55$ |
$10$ |
10.0.7368586534375.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 165.o |
\(\chi_{165}(14, \cdot)\)$, \cdots ,$\(\chi_{165}(119, \cdot)\)
|
$165$ |
$165$ |
$10$ |
10.0.162778775259375.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 165.p |
\(\chi_{165}(41, \cdot)\)$, \cdots ,$\(\chi_{165}(161, \cdot)\)
|
$165$ |
$33$ |
$10$ |
\(\Q(\zeta_{33})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 165.q |
\(\chi_{165}(26, \cdot)\)$, \cdots ,$\(\chi_{165}(146, \cdot)\)
|
$165$ |
$33$ |
$10$ |
10.0.52089208083.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 165.r |
\(\chi_{165}(29, \cdot)\)$, \cdots ,$\(\chi_{165}(149, \cdot)\)
|
$165$ |
$165$ |
$10$ |
10.10.1790566527853125.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 165.s |
\(\chi_{165}(4, \cdot)\)$, \cdots ,$\(\chi_{165}(124, \cdot)\)
|
$165$ |
$55$ |
$10$ |
10.10.669871503125.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 165.t |
\(\chi_{165}(46, \cdot)\)$, \cdots ,$\(\chi_{165}(151, \cdot)\)
|
$165$ |
$11$ |
$10$ |
\(\Q(\zeta_{11})\) |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 165.u |
\(\chi_{165}(2, \cdot)\)$, \cdots ,$\(\chi_{165}(128, \cdot)\)
|
$165$ |
$165$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
✓ |
✓ |
| 165.v |
\(\chi_{165}(38, \cdot)\)$, \cdots ,$\(\chi_{165}(158, \cdot)\)
|
$165$ |
$165$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
✓ |
✓ |
| 165.w |
\(\chi_{165}(7, \cdot)\)$, \cdots ,$\(\chi_{165}(127, \cdot)\)
|
$165$ |
$55$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |
| 165.x |
\(\chi_{165}(37, \cdot)\)$, \cdots ,$\(\chi_{165}(163, \cdot)\)
|
$165$ |
$55$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
