| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 220.a |
\(\chi_{220}(1, \cdot)\)
|
$220$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 220.b |
\(\chi_{220}(89, \cdot)\)
|
$220$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 220.c |
\(\chi_{220}(111, \cdot)\)
|
$220$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 220.d |
\(\chi_{220}(131, \cdot)\)
|
$220$ |
$44$ |
$2$ |
\(\Q(\sqrt{11}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 220.e |
\(\chi_{220}(109, \cdot)\)
|
$220$ |
$55$ |
$2$ |
\(\Q(\sqrt{-55}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 220.f |
\(\chi_{220}(21, \cdot)\)
|
$220$ |
$11$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 220.g |
\(\chi_{220}(219, \cdot)\)
|
$220$ |
$220$ |
$2$ |
\(\Q(\sqrt{55}) \) |
\(\Q\) |
even |
✓ |
✓ |
✓ |
| 220.h |
\(\chi_{220}(199, \cdot)\)
|
$220$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 220.i |
\(\chi_{220}(43, \cdot)\)$,$ \(\chi_{220}(87, \cdot)\)
|
$220$ |
$220$ |
$4$ |
4.0.242000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 220.j |
\(\chi_{220}(133, \cdot)\)$,$ \(\chi_{220}(177, \cdot)\)
|
$220$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 220.k |
\(\chi_{220}(153, \cdot)\)$,$ \(\chi_{220}(197, \cdot)\)
|
$220$ |
$55$ |
$4$ |
4.4.15125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 220.l |
\(\chi_{220}(23, \cdot)\)$,$ \(\chi_{220}(67, \cdot)\)
|
$220$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 220.m |
\(\chi_{220}(81, \cdot)\)$, \cdots ,$\(\chi_{220}(201, \cdot)\)
|
$220$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 220.n |
\(\chi_{220}(59, \cdot)\)$, \cdots ,$\(\chi_{220}(179, \cdot)\)
|
$220$ |
$220$ |
$10$ |
10.0.685948419200000.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 220.o |
\(\chi_{220}(19, \cdot)\)$, \cdots ,$\(\chi_{220}(139, \cdot)\)
|
$220$ |
$220$ |
$10$ |
10.10.7545432611200000.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 220.p |
\(\chi_{220}(41, \cdot)\)$, \cdots ,$\(\chi_{220}(161, \cdot)\)
|
$220$ |
$11$ |
$10$ |
\(\Q(\zeta_{11})\) |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 220.q |
\(\chi_{220}(29, \cdot)\)$, \cdots ,$\(\chi_{220}(189, \cdot)\)
|
$220$ |
$55$ |
$10$ |
10.0.7368586534375.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 220.r |
\(\chi_{220}(51, \cdot)\)$, \cdots ,$\(\chi_{220}(211, \cdot)\)
|
$220$ |
$44$ |
$10$ |
\(\Q(\zeta_{44})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 220.s |
\(\chi_{220}(31, \cdot)\)$, \cdots ,$\(\chi_{220}(191, \cdot)\)
|
$220$ |
$44$ |
$10$ |
10.0.219503494144.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 220.t |
\(\chi_{220}(9, \cdot)\)$, \cdots ,$\(\chi_{220}(169, \cdot)\)
|
$220$ |
$55$ |
$10$ |
10.10.669871503125.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 220.u |
\(\chi_{220}(13, \cdot)\)$, \cdots ,$\(\chi_{220}(217, \cdot)\)
|
$220$ |
$55$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |
| 220.v |
\(\chi_{220}(3, \cdot)\)$, \cdots ,$\(\chi_{220}(207, \cdot)\)
|
$220$ |
$220$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
✓ |
✓ |
| 220.w |
\(\chi_{220}(7, \cdot)\)$, \cdots ,$\(\chi_{220}(183, \cdot)\)
|
$220$ |
$220$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
✓ |
✓ |
| 220.x |
\(\chi_{220}(37, \cdot)\)$, \cdots ,$\(\chi_{220}(213, \cdot)\)
|
$220$ |
$55$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
