| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 218.a |
\(\chi_{218}(1, \cdot)\)
|
$218$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 218.b |
\(\chi_{218}(217, \cdot)\)
|
$218$ |
$109$ |
$2$ |
\(\Q(\sqrt{109}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 218.c |
\(\chi_{218}(45, \cdot)\)$,$ \(\chi_{218}(63, \cdot)\)
|
$218$ |
$109$ |
$3$ |
3.3.11881.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 218.d |
\(\chi_{218}(33, \cdot)\)$,$ \(\chi_{218}(185, \cdot)\)
|
$218$ |
$109$ |
$4$ |
4.0.1295029.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 218.e |
\(\chi_{218}(155, \cdot)\)$,$ \(\chi_{218}(173, \cdot)\)
|
$218$ |
$109$ |
$6$ |
6.6.15386239549.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 218.f |
\(\chi_{218}(27, \cdot)\)$, \cdots ,$\(\chi_{218}(175, \cdot)\)
|
$218$ |
$109$ |
$9$ |
9.9.19925626416901921.1 |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 218.g |
\(\chi_{218}(41, \cdot)\)$, \cdots ,$\(\chi_{218}(177, \cdot)\)
|
$218$ |
$109$ |
$12$ |
12.0.25804264053054077850709.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 218.h |
\(\chi_{218}(43, \cdot)\)$, \cdots ,$\(\chi_{218}(191, \cdot)\)
|
$218$ |
$109$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 218.i |
\(\chi_{218}(3, \cdot)\)$, \cdots ,$\(\chi_{218}(189, \cdot)\)
|
$218$ |
$109$ |
$27$ |
not computed |
\(\Q(\zeta_{27})\) |
even |
|
|
✓ |
| 218.j |
\(\chi_{218}(17, \cdot)\)$, \cdots ,$\(\chi_{218}(201, \cdot)\)
|
$218$ |
$109$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
|
✓ |
| 218.k |
\(\chi_{218}(29, \cdot)\)$, \cdots ,$\(\chi_{218}(215, \cdot)\)
|
$218$ |
$109$ |
$54$ |
not computed |
\(\Q(\zeta_{27})\) |
even |
|
|
✓ |
| 218.l |
\(\chi_{218}(11, \cdot)\)$, \cdots ,$\(\chi_{218}(207, \cdot)\)
|
$218$ |
$109$ |
$108$ |
not computed |
$\Q(\zeta_{108})$ |
odd |
|
|
✓ |
