| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 4027.a |
\(\chi_{4027}(1, \cdot)\)
|
$4027$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 4027.b |
\(\chi_{4027}(4026, \cdot)\)
|
$4027$ |
$4027$ |
$2$ |
\(\Q(\sqrt{-4027}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 4027.c |
\(\chi_{4027}(1820, \cdot)\)$,$ \(\chi_{4027}(2206, \cdot)\)
|
$4027$ |
$4027$ |
$3$ |
3.3.16216729.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 4027.d |
\(\chi_{4027}(1821, \cdot)\)$,$ \(\chi_{4027}(2207, \cdot)\)
|
$4027$ |
$4027$ |
$6$ |
6.0.1059029719923168907.5 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 4027.e |
\(\chi_{4027}(14, \cdot)\)$, \cdots ,$\(\chi_{4027}(3801, \cdot)\)
|
$4027$ |
$4027$ |
$11$ |
deg 11 |
\(\Q(\zeta_{11})\) |
even |
|
✓ |
✓ |
| 4027.f |
\(\chi_{4027}(226, \cdot)\)$, \cdots ,$\(\chi_{4027}(4013, \cdot)\)
|
$4027$ |
$4027$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
✓ |
✓ |
| 4027.g |
\(\chi_{4027}(130, \cdot)\)$, \cdots ,$\(\chi_{4027}(3461, \cdot)\)
|
$4027$ |
$4027$ |
$33$ |
not computed |
\(\Q(\zeta_{33})\) |
even |
|
✓ |
✓ |
| 4027.h |
\(\chi_{4027}(13, \cdot)\)$, \cdots ,$\(\chi_{4027}(3941, \cdot)\)
|
$4027$ |
$4027$ |
$61$ |
not computed |
$\Q(\zeta_{61})$ |
even |
|
✓ |
✓ |
| 4027.i |
\(\chi_{4027}(566, \cdot)\)$, \cdots ,$\(\chi_{4027}(3897, \cdot)\)
|
$4027$ |
$4027$ |
$66$ |
not computed |
\(\Q(\zeta_{33})\) |
odd |
|
✓ |
✓ |
| 4027.j |
\(\chi_{4027}(86, \cdot)\)$, \cdots ,$\(\chi_{4027}(4014, \cdot)\)
|
$4027$ |
$4027$ |
$122$ |
not computed |
$\Q(\zeta_{61})$ |
odd |
|
✓ |
✓ |
| 4027.k |
\(\chi_{4027}(41, \cdot)\)$, \cdots ,$\(\chi_{4027}(4004, \cdot)\)
|
$4027$ |
$4027$ |
$183$ |
not computed |
$\Q(\zeta_{183})$ |
even |
|
✓ |
✓ |
| 4027.l |
\(\chi_{4027}(23, \cdot)\)$, \cdots ,$\(\chi_{4027}(3986, \cdot)\)
|
$4027$ |
$4027$ |
$366$ |
not computed |
$\Q(\zeta_{183})$ |
odd |
|
✓ |
✓ |
| 4027.m |
\(\chi_{4027}(4, \cdot)\)$, \cdots ,$\(\chi_{4027}(4025, \cdot)\)
|
$4027$ |
$4027$ |
$671$ |
not computed |
$\Q(\zeta_{671})$ |
even |
|
✓ |
✓ |
| 4027.n |
\(\chi_{4027}(2, \cdot)\)$, \cdots ,$\(\chi_{4027}(4023, \cdot)\)
|
$4027$ |
$4027$ |
$1342$ |
not computed |
$\Q(\zeta_{671})$ |
odd |
|
✓ |
✓ |
| 4027.o |
\(\chi_{4027}(6, \cdot)\)$, \cdots ,$\(\chi_{4027}(4024, \cdot)\)
|
$4027$ |
$4027$ |
$2013$ |
not computed |
$\Q(\zeta_{2013})$ |
even |
|
✓ |
✓ |
| 4027.p |
\(\chi_{4027}(3, \cdot)\)$, \cdots ,$\(\chi_{4027}(4021, \cdot)\)
|
$4027$ |
$4027$ |
$4026$ |
not computed |
$\Q(\zeta_{2013})$ |
odd |
|
✓ |
✓ |
