Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
230.a |
\(\chi_{230}(1, \cdot)\)
|
$230$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
230.b |
\(\chi_{230}(139, \cdot)\)
|
$230$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
230.c |
\(\chi_{230}(229, \cdot)\)
|
$230$ |
$115$ |
$2$ |
\(\Q(\sqrt{-115}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
230.d |
\(\chi_{230}(91, \cdot)\)
|
$230$ |
$23$ |
$2$ |
\(\Q(\sqrt{-23}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
230.e |
\(\chi_{230}(137, \cdot)\)$,$ \(\chi_{230}(183, \cdot)\)
|
$230$ |
$115$ |
$4$ |
4.4.66125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
230.f |
\(\chi_{230}(47, \cdot)\)$,$ \(\chi_{230}(93, \cdot)\)
|
$230$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
230.g |
\(\chi_{230}(31, \cdot)\)$, \cdots ,$\(\chi_{230}(211, \cdot)\)
|
$230$ |
$23$ |
$11$ |
\(\Q(\zeta_{23})^+\) |
\(\Q(\zeta_{11})\) |
even |
|
|
✓ |
230.h |
\(\chi_{230}(11, \cdot)\)$, \cdots ,$\(\chi_{230}(221, \cdot)\)
|
$230$ |
$23$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
|
✓ |
230.i |
\(\chi_{230}(19, \cdot)\)$, \cdots ,$\(\chi_{230}(199, \cdot)\)
|
$230$ |
$115$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
|
✓ |
230.j |
\(\chi_{230}(9, \cdot)\)$, \cdots ,$\(\chi_{230}(219, \cdot)\)
|
$230$ |
$115$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
even |
|
|
✓ |
230.k |
\(\chi_{230}(3, \cdot)\)$, \cdots ,$\(\chi_{230}(223, \cdot)\)
|
$230$ |
$115$ |
$44$ |
not computed |
\(\Q(\zeta_{44})\) |
odd |
|
|
✓ |
230.l |
\(\chi_{230}(7, \cdot)\)$, \cdots ,$\(\chi_{230}(227, \cdot)\)
|
$230$ |
$115$ |
$44$ |
not computed |
\(\Q(\zeta_{44})\) |
even |
|
|
✓ |