| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 111.a |
\(\chi_{111}(1, \cdot)\)
|
$111$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 111.b |
\(\chi_{111}(38, \cdot)\)
|
$111$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 111.c |
\(\chi_{111}(73, \cdot)\)
|
$111$ |
$37$ |
$2$ |
\(\Q(\sqrt{37}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 111.d |
\(\chi_{111}(110, \cdot)\)
|
$111$ |
$111$ |
$2$ |
\(\Q(\sqrt{-111}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 111.e |
\(\chi_{111}(10, \cdot)\)$,$ \(\chi_{111}(100, \cdot)\)
|
$111$ |
$37$ |
$3$ |
3.3.1369.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 111.f |
\(\chi_{111}(31, \cdot)\)$,$ \(\chi_{111}(43, \cdot)\)
|
$111$ |
$37$ |
$4$ |
4.0.50653.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 111.g |
\(\chi_{111}(68, \cdot)\)$,$ \(\chi_{111}(80, \cdot)\)
|
$111$ |
$111$ |
$4$ |
4.4.455877.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 111.h |
\(\chi_{111}(11, \cdot)\)$,$ \(\chi_{111}(101, \cdot)\)
|
$111$ |
$111$ |
$6$ |
6.0.1872286839.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 111.i |
\(\chi_{111}(26, \cdot)\)$,$ \(\chi_{111}(47, \cdot)\)
|
$111$ |
$111$ |
$6$ |
6.0.50602347.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 111.j |
\(\chi_{111}(64, \cdot)\)$,$ \(\chi_{111}(85, \cdot)\)
|
$111$ |
$37$ |
$6$ |
6.6.69343957.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 111.k |
\(\chi_{111}(7, \cdot)\)$, \cdots ,$\(\chi_{111}(70, \cdot)\)
|
$111$ |
$37$ |
$9$ |
9.9.3512479453921.1 |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 111.l |
\(\chi_{111}(82, \cdot)\)$, \cdots ,$\(\chi_{111}(103, \cdot)\)
|
$111$ |
$37$ |
$12$ |
12.0.177917621779460413.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 111.m |
\(\chi_{111}(8, \cdot)\)$, \cdots ,$\(\chi_{111}(29, \cdot)\)
|
$111$ |
$111$ |
$12$ |
12.12.129701946277226641077.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 111.n |
\(\chi_{111}(41, \cdot)\)$, \cdots ,$\(\chi_{111}(104, \cdot)\)
|
$111$ |
$111$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 111.o |
\(\chi_{111}(4, \cdot)\)$, \cdots ,$\(\chi_{111}(67, \cdot)\)
|
$111$ |
$37$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 111.p |
\(\chi_{111}(44, \cdot)\)$, \cdots ,$\(\chi_{111}(107, \cdot)\)
|
$111$ |
$111$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 111.q |
\(\chi_{111}(2, \cdot)\)$, \cdots ,$\(\chi_{111}(98, \cdot)\)
|
$111$ |
$111$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
✓ |
✓ |
| 111.r |
\(\chi_{111}(13, \cdot)\)$, \cdots ,$\(\chi_{111}(109, \cdot)\)
|
$111$ |
$37$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
|
✓ |
