Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
460.a |
\(\chi_{460}(1, \cdot)\)
|
$460$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
460.b |
\(\chi_{460}(231, \cdot)\)
|
$460$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
460.c |
\(\chi_{460}(369, \cdot)\)
|
$460$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
460.d |
\(\chi_{460}(229, \cdot)\)
|
$460$ |
$115$ |
$2$ |
\(\Q(\sqrt{-115}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
460.e |
\(\chi_{460}(91, \cdot)\)
|
$460$ |
$92$ |
$2$ |
\(\Q(\sqrt{23}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
460.f |
\(\chi_{460}(321, \cdot)\)
|
$460$ |
$23$ |
$2$ |
\(\Q(\sqrt{-23}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
460.g |
\(\chi_{460}(459, \cdot)\)
|
$460$ |
$460$ |
$2$ |
\(\Q(\sqrt{115}) \) |
\(\Q\) |
even |
✓ |
✓ |
✓ |
460.h |
\(\chi_{460}(139, \cdot)\)
|
$460$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
460.i |
\(\chi_{460}(137, \cdot)\)$,$ \(\chi_{460}(413, \cdot)\)
|
$460$ |
$115$ |
$4$ |
4.4.66125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
460.j |
\(\chi_{460}(47, \cdot)\)$,$ \(\chi_{460}(323, \cdot)\)
|
$460$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
460.k |
\(\chi_{460}(183, \cdot)\)$,$ \(\chi_{460}(367, \cdot)\)
|
$460$ |
$460$ |
$4$ |
4.0.1058000.1 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
460.l |
\(\chi_{460}(93, \cdot)\)$,$ \(\chi_{460}(277, \cdot)\)
|
$460$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
460.m |
\(\chi_{460}(41, \cdot)\)$, \cdots ,$\(\chi_{460}(441, \cdot)\)
|
$460$ |
$23$ |
$11$ |
\(\Q(\zeta_{23})^+\) |
\(\Q(\zeta_{11})\) |
even |
|
|
✓ |
460.n |
\(\chi_{460}(39, \cdot)\)$, \cdots ,$\(\chi_{460}(439, \cdot)\)
|
$460$ |
$460$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
✓ |
✓ |
460.o |
\(\chi_{460}(19, \cdot)\)$, \cdots ,$\(\chi_{460}(419, \cdot)\)
|
$460$ |
$460$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
even |
|
✓ |
✓ |
460.p |
\(\chi_{460}(21, \cdot)\)$, \cdots ,$\(\chi_{460}(421, \cdot)\)
|
$460$ |
$23$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
|
✓ |
460.q |
\(\chi_{460}(11, \cdot)\)$, \cdots ,$\(\chi_{460}(451, \cdot)\)
|
$460$ |
$92$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
even |
|
|
✓ |
460.r |
\(\chi_{460}(89, \cdot)\)$, \cdots ,$\(\chi_{460}(429, \cdot)\)
|
$460$ |
$115$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
|
✓ |
460.s |
\(\chi_{460}(9, \cdot)\)$, \cdots ,$\(\chi_{460}(449, \cdot)\)
|
$460$ |
$115$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
even |
|
|
✓ |
460.t |
\(\chi_{460}(31, \cdot)\)$, \cdots ,$\(\chi_{460}(371, \cdot)\)
|
$460$ |
$92$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
|
✓ |
460.u |
\(\chi_{460}(13, \cdot)\)$, \cdots ,$\(\chi_{460}(453, \cdot)\)
|
$460$ |
$115$ |
$44$ |
not computed |
\(\Q(\zeta_{44})\) |
odd |
|
|
✓ |
460.v |
\(\chi_{460}(7, \cdot)\)$, \cdots ,$\(\chi_{460}(447, \cdot)\)
|
$460$ |
$460$ |
$44$ |
not computed |
\(\Q(\zeta_{44})\) |
odd |
|
✓ |
✓ |
460.w |
\(\chi_{460}(3, \cdot)\)$, \cdots ,$\(\chi_{460}(443, \cdot)\)
|
$460$ |
$460$ |
$44$ |
not computed |
\(\Q(\zeta_{44})\) |
even |
|
✓ |
✓ |
460.x |
\(\chi_{460}(17, \cdot)\)$, \cdots ,$\(\chi_{460}(457, \cdot)\)
|
$460$ |
$115$ |
$44$ |
not computed |
\(\Q(\zeta_{44})\) |
even |
|
|
✓ |