| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 253.a |
\(\chi_{253}(1, \cdot)\)
|
$253$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 253.b |
\(\chi_{253}(252, \cdot)\)
|
$253$ |
$253$ |
$2$ |
\(\Q(\sqrt{253}) \) |
\(\Q\) |
even |
✓ |
✓ |
✓ |
| 253.c |
\(\chi_{253}(208, \cdot)\)
|
$253$ |
$11$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 253.d |
\(\chi_{253}(45, \cdot)\)
|
$253$ |
$23$ |
$2$ |
\(\Q(\sqrt{-23}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 253.e |
\(\chi_{253}(47, \cdot)\)$, \cdots ,$\(\chi_{253}(185, \cdot)\)
|
$253$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 253.f |
\(\chi_{253}(91, \cdot)\)$, \cdots ,$\(\chi_{253}(229, \cdot)\)
|
$253$ |
$253$ |
$10$ |
10.0.1379687283212183.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 253.g |
\(\chi_{253}(24, \cdot)\)$, \cdots ,$\(\chi_{253}(162, \cdot)\)
|
$253$ |
$11$ |
$10$ |
\(\Q(\zeta_{11})\) |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 253.h |
\(\chi_{253}(68, \cdot)\)$, \cdots ,$\(\chi_{253}(206, \cdot)\)
|
$253$ |
$253$ |
$10$ |
10.10.15176560115334013.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 253.i |
\(\chi_{253}(12, \cdot)\)$, \cdots ,$\(\chi_{253}(243, \cdot)\)
|
$253$ |
$23$ |
$11$ |
\(\Q(\zeta_{23})^+\) |
\(\Q(\zeta_{11})\) |
even |
|
|
✓ |
| 253.j |
\(\chi_{253}(34, \cdot)\)$, \cdots ,$\(\chi_{253}(221, \cdot)\)
|
$253$ |
$23$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
|
✓ |
| 253.k |
\(\chi_{253}(32, \cdot)\)$, \cdots ,$\(\chi_{253}(219, \cdot)\)
|
$253$ |
$253$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
✓ |
✓ |
| 253.l |
\(\chi_{253}(10, \cdot)\)$, \cdots ,$\(\chi_{253}(241, \cdot)\)
|
$253$ |
$253$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
even |
|
✓ |
✓ |
| 253.m |
\(\chi_{253}(3, \cdot)\)$, \cdots ,$\(\chi_{253}(246, \cdot)\)
|
$253$ |
$253$ |
$55$ |
not computed |
$\Q(\zeta_{55})$ |
even |
|
✓ |
✓ |
| 253.n |
\(\chi_{253}(7, \cdot)\)$, \cdots ,$\(\chi_{253}(250, \cdot)\)
|
$253$ |
$253$ |
$110$ |
not computed |
$\Q(\zeta_{55})$ |
even |
|
✓ |
✓ |
| 253.o |
\(\chi_{253}(2, \cdot)\)$, \cdots ,$\(\chi_{253}(248, \cdot)\)
|
$253$ |
$253$ |
$110$ |
not computed |
$\Q(\zeta_{55})$ |
odd |
|
✓ |
✓ |
| 253.p |
\(\chi_{253}(5, \cdot)\)$, \cdots ,$\(\chi_{253}(251, \cdot)\)
|
$253$ |
$253$ |
$110$ |
not computed |
$\Q(\zeta_{55})$ |
odd |
|
✓ |
✓ |
