| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 256.a |
\(\chi_{256}(1, \cdot)\)
|
$256$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
|
| 256.b |
\(\chi_{256}(129, \cdot)\)
|
$256$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
|
| 256.c |
\(\chi_{256}(255, \cdot)\)
|
$256$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 256.d |
\(\chi_{256}(127, \cdot)\)
|
$256$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 256.e |
\(\chi_{256}(65, \cdot)\)$,$ \(\chi_{256}(193, \cdot)\)
|
$256$ |
$16$ |
$4$ |
\(\Q(\zeta_{16})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 256.f |
\(\chi_{256}(63, \cdot)\)$,$ \(\chi_{256}(191, \cdot)\)
|
$256$ |
$16$ |
$4$ |
4.0.2048.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 256.g |
\(\chi_{256}(33, \cdot)\)$, \cdots ,$\(\chi_{256}(225, \cdot)\)
|
$256$ |
$32$ |
$8$ |
\(\Q(\zeta_{32})^+\) |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 256.h |
\(\chi_{256}(31, \cdot)\)$, \cdots ,$\(\chi_{256}(223, \cdot)\)
|
$256$ |
$32$ |
$8$ |
8.0.2147483648.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 256.i |
\(\chi_{256}(17, \cdot)\)$, \cdots ,$\(\chi_{256}(241, \cdot)\)
|
$256$ |
$64$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
|
| 256.j |
\(\chi_{256}(15, \cdot)\)$, \cdots ,$\(\chi_{256}(239, \cdot)\)
|
$256$ |
$64$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
|
| 256.k |
\(\chi_{256}(9, \cdot)\)$, \cdots ,$\(\chi_{256}(249, \cdot)\)
|
$256$ |
$128$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
even |
|
|
|
| 256.l |
\(\chi_{256}(7, \cdot)\)$, \cdots ,$\(\chi_{256}(247, \cdot)\)
|
$256$ |
$128$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
odd |
|
|
|
| 256.m |
\(\chi_{256}(5, \cdot)\)$, \cdots ,$\(\chi_{256}(253, \cdot)\)
|
$256$ |
$256$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
even |
|
✓ |
✓ |
| 256.n |
\(\chi_{256}(3, \cdot)\)$, \cdots ,$\(\chi_{256}(251, \cdot)\)
|
$256$ |
$256$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
odd |
|
✓ |
✓ |
