| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 361.a |
\(\chi_{361}(1, \cdot)\)
|
$361$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 361.b |
\(\chi_{361}(360, \cdot)\)
|
$361$ |
$19$ |
$2$ |
\(\Q(\sqrt{-19}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 361.c |
\(\chi_{361}(68, \cdot)\)$,$ \(\chi_{361}(292, \cdot)\)
|
$361$ |
$19$ |
$3$ |
3.3.361.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 361.d |
\(\chi_{361}(69, \cdot)\)$,$ \(\chi_{361}(293, \cdot)\)
|
$361$ |
$19$ |
$6$ |
6.0.2476099.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 361.e |
\(\chi_{361}(28, \cdot)\)$, \cdots ,$\(\chi_{361}(245, \cdot)\)
|
$361$ |
$19$ |
$9$ |
\(\Q(\zeta_{19})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 361.f |
\(\chi_{361}(116, \cdot)\)$, \cdots ,$\(\chi_{361}(333, \cdot)\)
|
$361$ |
$19$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 361.g |
\(\chi_{361}(20, \cdot)\)$, \cdots ,$\(\chi_{361}(343, \cdot)\)
|
$361$ |
$361$ |
$19$ |
not computed |
\(\Q(\zeta_{19})\) |
even |
|
✓ |
✓ |
| 361.h |
\(\chi_{361}(18, \cdot)\)$, \cdots ,$\(\chi_{361}(341, \cdot)\)
|
$361$ |
$361$ |
$38$ |
not computed |
\(\Q(\zeta_{19})\) |
odd |
|
✓ |
✓ |
| 361.i |
\(\chi_{361}(7, \cdot)\)$, \cdots ,$\(\chi_{361}(353, \cdot)\)
|
$361$ |
$361$ |
$57$ |
not computed |
$\Q(\zeta_{57})$ |
even |
|
✓ |
✓ |
| 361.j |
\(\chi_{361}(8, \cdot)\)$, \cdots ,$\(\chi_{361}(354, \cdot)\)
|
$361$ |
$361$ |
$114$ |
not computed |
$\Q(\zeta_{57})$ |
odd |
|
✓ |
✓ |
| 361.k |
\(\chi_{361}(4, \cdot)\)$, \cdots ,$\(\chi_{361}(359, \cdot)\)
|
$361$ |
$361$ |
$171$ |
not computed |
$\Q(\zeta_{171})$ |
even |
|
✓ |
✓ |
| 361.l |
\(\chi_{361}(2, \cdot)\)$, \cdots ,$\(\chi_{361}(357, \cdot)\)
|
$361$ |
$361$ |
$342$ |
not computed |
$\Q(\zeta_{171})$ |
odd |
|
✓ |
✓ |
