| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 229.a |
\(\chi_{229}(1, \cdot)\)
|
$229$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 229.b |
\(\chi_{229}(228, \cdot)\)
|
$229$ |
$229$ |
$2$ |
\(\Q(\sqrt{229}) \) |
\(\Q\) |
even |
✓ |
✓ |
✓ |
| 229.c |
\(\chi_{229}(94, \cdot)\)$,$ \(\chi_{229}(134, \cdot)\)
|
$229$ |
$229$ |
$3$ |
3.3.52441.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 229.d |
\(\chi_{229}(107, \cdot)\)$,$ \(\chi_{229}(122, \cdot)\)
|
$229$ |
$229$ |
$4$ |
4.0.12008989.1 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 229.e |
\(\chi_{229}(95, \cdot)\)$,$ \(\chi_{229}(135, \cdot)\)
|
$229$ |
$229$ |
$6$ |
6.6.629763392149.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 229.f |
\(\chi_{229}(18, \cdot)\)$, \cdots ,$\(\chi_{229}(211, \cdot)\)
|
$229$ |
$229$ |
$12$ |
12.0.90821841990842470457948029.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 229.g |
\(\chi_{229}(16, \cdot)\)$, \cdots ,$\(\chi_{229}(225, \cdot)\)
|
$229$ |
$229$ |
$19$ |
not computed |
\(\Q(\zeta_{19})\) |
even |
|
✓ |
✓ |
| 229.h |
\(\chi_{229}(4, \cdot)\)$, \cdots ,$\(\chi_{229}(213, \cdot)\)
|
$229$ |
$229$ |
$38$ |
not computed |
\(\Q(\zeta_{19})\) |
even |
|
✓ |
✓ |
| 229.i |
\(\chi_{229}(3, \cdot)\)$, \cdots ,$\(\chi_{229}(224, \cdot)\)
|
$229$ |
$229$ |
$57$ |
not computed |
$\Q(\zeta_{57})$ |
even |
|
✓ |
✓ |
| 229.j |
\(\chi_{229}(2, \cdot)\)$, \cdots ,$\(\chi_{229}(227, \cdot)\)
|
$229$ |
$229$ |
$76$ |
not computed |
$\Q(\zeta_{76})$ |
odd |
|
✓ |
✓ |
| 229.k |
\(\chi_{229}(5, \cdot)\)$, \cdots ,$\(\chi_{229}(226, \cdot)\)
|
$229$ |
$229$ |
$114$ |
not computed |
$\Q(\zeta_{57})$ |
even |
|
✓ |
✓ |
| 229.l |
\(\chi_{229}(6, \cdot)\)$, \cdots ,$\(\chi_{229}(223, \cdot)\)
|
$229$ |
$229$ |
$228$ |
not computed |
$\Q(\zeta_{228})$ |
odd |
|
✓ |
✓ |
