| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 65.a |
\(\chi_{65}(1, \cdot)\)
|
$65$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 65.b |
\(\chi_{65}(14, \cdot)\)
|
$65$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 65.c |
\(\chi_{65}(51, \cdot)\)
|
$65$ |
$13$ |
$2$ |
\(\Q(\sqrt{13}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 65.d |
\(\chi_{65}(64, \cdot)\)
|
$65$ |
$65$ |
$2$ |
\(\Q(\sqrt{65}) \) |
\(\Q\) |
even |
✓ |
✓ |
✓ |
| 65.e |
\(\chi_{65}(16, \cdot)\)$,$ \(\chi_{65}(61, \cdot)\)
|
$65$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 65.f |
\(\chi_{65}(18, \cdot)\)$,$ \(\chi_{65}(47, \cdot)\)
|
$65$ |
$65$ |
$4$ |
4.4.274625.2 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 65.g |
\(\chi_{65}(34, \cdot)\)$,$ \(\chi_{65}(44, \cdot)\)
|
$65$ |
$65$ |
$4$ |
4.0.54925.1 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 65.h |
\(\chi_{65}(12, \cdot)\)$,$ \(\chi_{65}(38, \cdot)\)
|
$65$ |
$65$ |
$4$ |
4.0.21125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 65.i |
\(\chi_{65}(27, \cdot)\)$,$ \(\chi_{65}(53, \cdot)\)
|
$65$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 65.j |
\(\chi_{65}(21, \cdot)\)$,$ \(\chi_{65}(31, \cdot)\)
|
$65$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 65.k |
\(\chi_{65}(8, \cdot)\)$,$ \(\chi_{65}(57, \cdot)\)
|
$65$ |
$65$ |
$4$ |
4.4.274625.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 65.l |
\(\chi_{65}(4, \cdot)\)$,$ \(\chi_{65}(49, \cdot)\)
|
$65$ |
$65$ |
$6$ |
6.6.46411625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 65.m |
\(\chi_{65}(36, \cdot)\)$,$ \(\chi_{65}(56, \cdot)\)
|
$65$ |
$13$ |
$6$ |
\(\Q(\zeta_{13})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 65.n |
\(\chi_{65}(9, \cdot)\)$,$ \(\chi_{65}(29, \cdot)\)
|
$65$ |
$65$ |
$6$ |
6.6.3570125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 65.o |
\(\chi_{65}(2, \cdot)\)$, \cdots ,$\(\chi_{65}(63, \cdot)\)
|
$65$ |
$65$ |
$12$ |
12.12.3500313269603515625.2 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 65.p |
\(\chi_{65}(6, \cdot)\)$, \cdots ,$\(\chi_{65}(46, \cdot)\)
|
$65$ |
$13$ |
$12$ |
\(\Q(\zeta_{13})\) |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 65.q |
\(\chi_{65}(3, \cdot)\)$, \cdots ,$\(\chi_{65}(48, \cdot)\)
|
$65$ |
$65$ |
$12$ |
12.0.1593224064453125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 65.r |
\(\chi_{65}(17, \cdot)\)$, \cdots ,$\(\chi_{65}(62, \cdot)\)
|
$65$ |
$65$ |
$12$ |
12.0.269254866892578125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 65.s |
\(\chi_{65}(19, \cdot)\)$, \cdots ,$\(\chi_{65}(59, \cdot)\)
|
$65$ |
$65$ |
$12$ |
12.0.28002506156828125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 65.t |
\(\chi_{65}(7, \cdot)\)$, \cdots ,$\(\chi_{65}(58, \cdot)\)
|
$65$ |
$65$ |
$12$ |
12.12.3500313269603515625.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
