| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 2563.a |
\(\chi_{2563}(1, \cdot)\)
|
$2563$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 2563.b |
\(\chi_{2563}(2562, \cdot)\)
|
$2563$ |
$2563$ |
$2$ |
\(\Q(\sqrt{-2563}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 2563.c |
\(\chi_{2563}(2331, \cdot)\)
|
$2563$ |
$11$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 2563.d |
\(\chi_{2563}(232, \cdot)\)
|
$2563$ |
$233$ |
$2$ |
\(\Q(\sqrt{233}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 2563.e |
\(\chi_{2563}(2419, \cdot)\)$,$ \(\chi_{2563}(2474, \cdot)\)
|
$2563$ |
$2563$ |
$4$ |
4.0.1530569777.1 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 2563.f |
\(\chi_{2563}(89, \cdot)\)$,$ \(\chi_{2563}(144, \cdot)\)
|
$2563$ |
$233$ |
$4$ |
4.4.12649337.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2563.g |
\(\chi_{2563}(234, \cdot)\)$, \cdots ,$\(\chi_{2563}(1632, \cdot)\)
|
$2563$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 2563.h |
\(\chi_{2563}(835, \cdot)\)$, \cdots ,$\(\chi_{2563}(2551, \cdot)\)
|
$2563$ |
$2563$ |
$8$ |
8.8.545836015247938326857.1 |
\(\Q(\zeta_{8})\) |
even |
|
✓ |
✓ |
| 2563.i |
\(\chi_{2563}(12, \cdot)\)$, \cdots ,$\(\chi_{2563}(1728, \cdot)\)
|
$2563$ |
$233$ |
$8$ |
8.0.37281334283719577.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
✓ |
| 2563.j |
\(\chi_{2563}(465, \cdot)\)$, \cdots ,$\(\chi_{2563}(1863, \cdot)\)
|
$2563$ |
$2563$ |
$10$ |
10.10.147204499976884176233.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 2563.k |
\(\chi_{2563}(700, \cdot)\)$, \cdots ,$\(\chi_{2563}(2098, \cdot)\)
|
$2563$ |
$11$ |
$10$ |
\(\Q(\zeta_{11})\) |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 2563.l |
\(\chi_{2563}(931, \cdot)\)$, \cdots ,$\(\chi_{2563}(2329, \cdot)\)
|
$2563$ |
$2563$ |
$10$ |
10.0.1619249499745725938563.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 2563.m |
\(\chi_{2563}(322, \cdot)\)$, \cdots ,$\(\chi_{2563}(1775, \cdot)\)
|
$2563$ |
$2563$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
✓ |
✓ |
| 2563.n |
\(\chi_{2563}(788, \cdot)\)$, \cdots ,$\(\chi_{2563}(2241, \cdot)\)
|
$2563$ |
$2563$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
✓ |
✓ |
| 2563.o |
\(\chi_{2563}(23, \cdot)\)$, \cdots ,$\(\chi_{2563}(2465, \cdot)\)
|
$2563$ |
$233$ |
$29$ |
not computed |
$\Q(\zeta_{29})$ |
even |
|
|
✓ |
| 2563.p |
\(\chi_{2563}(97, \cdot)\)$, \cdots ,$\(\chi_{2563}(2194, \cdot)\)
|
$2563$ |
$2563$ |
$40$ |
not computed |
\(\Q(\zeta_{40})\) |
odd |
|
✓ |
✓ |
| 2563.q |
\(\chi_{2563}(369, \cdot)\)$, \cdots ,$\(\chi_{2563}(2466, \cdot)\)
|
$2563$ |
$2563$ |
$40$ |
not computed |
\(\Q(\zeta_{40})\) |
even |
|
✓ |
✓ |
| 2563.r |
\(\chi_{2563}(210, \cdot)\)$, \cdots ,$\(\chi_{2563}(2531, \cdot)\)
|
$2563$ |
$233$ |
$58$ |
not computed |
$\Q(\zeta_{29})$ |
even |
|
|
✓ |
| 2563.s |
\(\chi_{2563}(32, \cdot)\)$, \cdots ,$\(\chi_{2563}(2353, \cdot)\)
|
$2563$ |
$2563$ |
$58$ |
not computed |
$\Q(\zeta_{29})$ |
odd |
|
✓ |
✓ |
| 2563.t |
\(\chi_{2563}(98, \cdot)\)$, \cdots ,$\(\chi_{2563}(2540, \cdot)\)
|
$2563$ |
$2563$ |
$58$ |
not computed |
$\Q(\zeta_{29})$ |
odd |
|
✓ |
✓ |
| 2563.u |
\(\chi_{2563}(56, \cdot)\)$, \cdots ,$\(\chi_{2563}(2454, \cdot)\)
|
$2563$ |
$233$ |
$116$ |
not computed |
$\Q(\zeta_{116})$ |
even |
|
|
✓ |
| 2563.v |
\(\chi_{2563}(109, \cdot)\)$, \cdots ,$\(\chi_{2563}(2507, \cdot)\)
|
$2563$ |
$2563$ |
$116$ |
not computed |
$\Q(\zeta_{116})$ |
odd |
|
✓ |
✓ |
| 2563.w |
\(\chi_{2563}(4, \cdot)\)$, \cdots ,$\(\chi_{2563}(2534, \cdot)\)
|
$2563$ |
$2563$ |
$145$ |
not computed |
$\Q(\zeta_{145})$ |
even |
|
✓ |
✓ |
| 2563.x |
\(\chi_{2563}(34, \cdot)\)$, \cdots ,$\(\chi_{2563}(2553, \cdot)\)
|
$2563$ |
$233$ |
$232$ |
not computed |
$\Q(\zeta_{232})$ |
odd |
|
|
✓ |
| 2563.y |
\(\chi_{2563}(10, \cdot)\)$, \cdots ,$\(\chi_{2563}(2529, \cdot)\)
|
$2563$ |
$2563$ |
$232$ |
not computed |
$\Q(\zeta_{232})$ |
even |
|
✓ |
✓ |
| 2563.z |
\(\chi_{2563}(29, \cdot)\)$, \cdots ,$\(\chi_{2563}(2559, \cdot)\)
|
$2563$ |
$2563$ |
$290$ |
not computed |
$\Q(\zeta_{145})$ |
odd |
|
✓ |
✓ |
| 2563.ba |
\(\chi_{2563}(2, \cdot)\)$, \cdots ,$\(\chi_{2563}(2514, \cdot)\)
|
$2563$ |
$2563$ |
$290$ |
not computed |
$\Q(\zeta_{145})$ |
odd |
|
✓ |
✓ |
| 2563.bb |
\(\chi_{2563}(49, \cdot)\)$, \cdots ,$\(\chi_{2563}(2561, \cdot)\)
|
$2563$ |
$2563$ |
$290$ |
not computed |
$\Q(\zeta_{145})$ |
even |
|
✓ |
✓ |
| 2563.bc |
\(\chi_{2563}(7, \cdot)\)$, \cdots ,$\(\chi_{2563}(2554, \cdot)\)
|
$2563$ |
$2563$ |
$580$ |
not computed |
$\Q(\zeta_{580})$ |
odd |
|
✓ |
✓ |
| 2563.bd |
\(\chi_{2563}(9, \cdot)\)$, \cdots ,$\(\chi_{2563}(2556, \cdot)\)
|
$2563$ |
$2563$ |
$580$ |
not computed |
$\Q(\zeta_{580})$ |
even |
|
✓ |
✓ |
| 2563.be |
\(\chi_{2563}(6, \cdot)\)$, \cdots ,$\(\chi_{2563}(2560, \cdot)\)
|
$2563$ |
$2563$ |
$1160$ |
not computed |
$\Q(\zeta_{1160})$ |
even |
|
✓ |
✓ |
| 2563.bf |
\(\chi_{2563}(3, \cdot)\)$, \cdots ,$\(\chi_{2563}(2557, \cdot)\)
|
$2563$ |
$2563$ |
$1160$ |
not computed |
$\Q(\zeta_{1160})$ |
odd |
|
✓ |
✓ |
