| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 363.a |
\(\chi_{363}(1, \cdot)\)
|
$363$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 363.b |
\(\chi_{363}(122, \cdot)\)
|
$363$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 363.c |
\(\chi_{363}(241, \cdot)\)
|
$363$ |
$11$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 363.d |
\(\chi_{363}(362, \cdot)\)
|
$363$ |
$33$ |
$2$ |
\(\Q(\sqrt{33}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 363.e |
\(\chi_{363}(124, \cdot)\)$, \cdots ,$\(\chi_{363}(202, \cdot)\)
|
$363$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 363.f |
\(\chi_{363}(161, \cdot)\)$, \cdots ,$\(\chi_{363}(239, \cdot)\)
|
$363$ |
$33$ |
$10$ |
\(\Q(\zeta_{33})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 363.g |
\(\chi_{363}(40, \cdot)\)$, \cdots ,$\(\chi_{363}(118, \cdot)\)
|
$363$ |
$11$ |
$10$ |
\(\Q(\zeta_{11})\) |
\(\Q(\zeta_{5})\) |
odd |
|
|
|
| 363.h |
\(\chi_{363}(245, \cdot)\)$, \cdots ,$\(\chi_{363}(323, \cdot)\)
|
$363$ |
$33$ |
$10$ |
10.0.52089208083.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
|
| 363.i |
\(\chi_{363}(34, \cdot)\)$, \cdots ,$\(\chi_{363}(331, \cdot)\)
|
$363$ |
$121$ |
$11$ |
11.11.672749994932560009201.1 |
\(\Q(\zeta_{11})\) |
even |
|
|
✓ |
| 363.j |
\(\chi_{363}(32, \cdot)\)$, \cdots ,$\(\chi_{363}(329, \cdot)\)
|
$363$ |
$363$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
even |
|
✓ |
✓ |
| 363.k |
\(\chi_{363}(10, \cdot)\)$, \cdots ,$\(\chi_{363}(340, \cdot)\)
|
$363$ |
$121$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
|
✓ |
| 363.l |
\(\chi_{363}(23, \cdot)\)$, \cdots ,$\(\chi_{363}(353, \cdot)\)
|
$363$ |
$363$ |
$22$ |
not computed |
\(\Q(\zeta_{11})\) |
odd |
|
✓ |
✓ |
| 363.m |
\(\chi_{363}(4, \cdot)\)$, \cdots ,$\(\chi_{363}(361, \cdot)\)
|
$363$ |
$121$ |
$55$ |
not computed |
$\Q(\zeta_{55})$ |
even |
|
|
✓ |
| 363.n |
\(\chi_{363}(5, \cdot)\)$, \cdots ,$\(\chi_{363}(356, \cdot)\)
|
$363$ |
$363$ |
$110$ |
not computed |
$\Q(\zeta_{55})$ |
odd |
|
✓ |
✓ |
| 363.o |
\(\chi_{363}(7, \cdot)\)$, \cdots ,$\(\chi_{363}(358, \cdot)\)
|
$363$ |
$121$ |
$110$ |
not computed |
$\Q(\zeta_{55})$ |
odd |
|
|
✓ |
| 363.p |
\(\chi_{363}(2, \cdot)\)$, \cdots ,$\(\chi_{363}(359, \cdot)\)
|
$363$ |
$363$ |
$110$ |
not computed |
$\Q(\zeta_{55})$ |
even |
|
✓ |
✓ |
