| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 130.a |
\(\chi_{130}(1, \cdot)\)
|
$130$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 130.b |
\(\chi_{130}(79, \cdot)\)
|
$130$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 130.c |
\(\chi_{130}(129, \cdot)\)
|
$130$ |
$65$ |
$2$ |
\(\Q(\sqrt{65}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 130.d |
\(\chi_{130}(51, \cdot)\)
|
$130$ |
$13$ |
$2$ |
\(\Q(\sqrt{13}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 130.e |
\(\chi_{130}(61, \cdot)\)$,$ \(\chi_{130}(81, \cdot)\)
|
$130$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 130.f |
\(\chi_{130}(99, \cdot)\)$,$ \(\chi_{130}(109, \cdot)\)
|
$130$ |
$65$ |
$4$ |
4.0.54925.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 130.g |
\(\chi_{130}(57, \cdot)\)$,$ \(\chi_{130}(73, \cdot)\)
|
$130$ |
$65$ |
$4$ |
4.4.274625.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 130.h |
\(\chi_{130}(77, \cdot)\)$,$ \(\chi_{130}(103, \cdot)\)
|
$130$ |
$65$ |
$4$ |
4.0.21125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 130.i |
\(\chi_{130}(27, \cdot)\)$,$ \(\chi_{130}(53, \cdot)\)
|
$130$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 130.j |
\(\chi_{130}(47, \cdot)\)$,$ \(\chi_{130}(83, \cdot)\)
|
$130$ |
$65$ |
$4$ |
4.4.274625.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 130.k |
\(\chi_{130}(21, \cdot)\)$,$ \(\chi_{130}(31, \cdot)\)
|
$130$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 130.l |
\(\chi_{130}(101, \cdot)\)$,$ \(\chi_{130}(121, \cdot)\)
|
$130$ |
$13$ |
$6$ |
\(\Q(\zeta_{13})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 130.m |
\(\chi_{130}(49, \cdot)\)$,$ \(\chi_{130}(69, \cdot)\)
|
$130$ |
$65$ |
$6$ |
6.6.46411625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 130.n |
\(\chi_{130}(9, \cdot)\)$,$ \(\chi_{130}(29, \cdot)\)
|
$130$ |
$65$ |
$6$ |
6.6.3570125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 130.o |
\(\chi_{130}(11, \cdot)\)$, \cdots ,$\(\chi_{130}(111, \cdot)\)
|
$130$ |
$13$ |
$12$ |
\(\Q(\zeta_{13})\) |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 130.p |
\(\chi_{130}(7, \cdot)\)$, \cdots ,$\(\chi_{130}(123, \cdot)\)
|
$130$ |
$65$ |
$12$ |
12.12.3500313269603515625.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 130.q |
\(\chi_{130}(3, \cdot)\)$, \cdots ,$\(\chi_{130}(113, \cdot)\)
|
$130$ |
$65$ |
$12$ |
12.0.1593224064453125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 130.r |
\(\chi_{130}(17, \cdot)\)$, \cdots ,$\(\chi_{130}(127, \cdot)\)
|
$130$ |
$65$ |
$12$ |
12.0.269254866892578125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 130.s |
\(\chi_{130}(33, \cdot)\)$, \cdots ,$\(\chi_{130}(97, \cdot)\)
|
$130$ |
$65$ |
$12$ |
12.12.3500313269603515625.2 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 130.t |
\(\chi_{130}(19, \cdot)\)$, \cdots ,$\(\chi_{130}(119, \cdot)\)
|
$130$ |
$65$ |
$12$ |
12.0.28002506156828125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
