| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 6023.a |
\(\chi_{6023}(1, \cdot)\)
|
$6023$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 6023.b |
\(\chi_{6023}(1901, \cdot)\)
|
$6023$ |
$317$ |
$2$ |
\(\Q(\sqrt{317}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 6023.c |
\(\chi_{6023}(4122, \cdot)\)
|
$6023$ |
$19$ |
$2$ |
\(\Q(\sqrt{-19}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 6023.d |
\(\chi_{6023}(6022, \cdot)\)
|
$6023$ |
$6023$ |
$2$ |
\(\Q(\sqrt{-6023}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 6023.e |
\(\chi_{6023}(3488, \cdot)\)$,$ \(\chi_{6023}(5707, \cdot)\)
|
$6023$ |
$19$ |
$3$ |
3.3.361.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 6023.f |
\(\chi_{6023}(4958, \cdot)\)$,$ \(\chi_{6023}(5186, \cdot)\)
|
$6023$ |
$6023$ |
$4$ |
4.4.11499659693.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 6023.g |
\(\chi_{6023}(837, \cdot)\)$,$ \(\chi_{6023}(1065, \cdot)\)
|
$6023$ |
$317$ |
$4$ |
4.0.31855013.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 6023.h |
\(\chi_{6023}(316, \cdot)\)$,$ \(\chi_{6023}(2535, \cdot)\)
|
$6023$ |
$6023$ |
$6$ |
6.0.78876165834287.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 6023.i |
\(\chi_{6023}(635, \cdot)\)$,$ \(\chi_{6023}(4439, \cdot)\)
|
$6023$ |
$19$ |
$6$ |
6.0.2476099.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 6023.j |
\(\chi_{6023}(1584, \cdot)\)$,$ \(\chi_{6023}(5388, \cdot)\)
|
$6023$ |
$6023$ |
$6$ |
6.6.4151377149173.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 6023.k |
\(\chi_{6023}(1586, \cdot)\)$, \cdots ,$\(\chi_{6023}(4756, \cdot)\)
|
$6023$ |
$19$ |
$9$ |
\(\Q(\zeta_{19})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 6023.l |
\(\chi_{6023}(520, \cdot)\)$, \cdots ,$\(\chi_{6023}(4552, \cdot)\)
|
$6023$ |
$6023$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 6023.m |
\(\chi_{6023}(1471, \cdot)\)$, \cdots ,$\(\chi_{6023}(5503, \cdot)\)
|
$6023$ |
$6023$ |
$12$ |
deg 12 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 6023.n |
\(\chi_{6023}(1267, \cdot)\)$, \cdots ,$\(\chi_{6023}(4437, \cdot)\)
|
$6023$ |
$6023$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
✓ |
✓ |
| 6023.o |
\(\chi_{6023}(633, \cdot)\)$, \cdots ,$\(\chi_{6023}(5705, \cdot)\)
|
$6023$ |
$6023$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
✓ |
✓ |
| 6023.p |
\(\chi_{6023}(318, \cdot)\)$, \cdots ,$\(\chi_{6023}(5390, \cdot)\)
|
$6023$ |
$19$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 6023.q |
\(\chi_{6023}(2422, \cdot)\)$, \cdots ,$\(\chi_{6023}(5820, \cdot)\)
|
$6023$ |
$6023$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
✓ |
✓ |
| 6023.r |
\(\chi_{6023}(203, \cdot)\)$, \cdots ,$\(\chi_{6023}(3601, \cdot)\)
|
$6023$ |
$6023$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
✓ |
✓ |
| 6023.s |
\(\chi_{6023}(438, \cdot)\)$, \cdots ,$\(\chi_{6023}(5986, \cdot)\)
|
$6023$ |
$317$ |
$79$ |
not computed |
$\Q(\zeta_{79})$ |
even |
|
|
✓ |
| 6023.t |
\(\chi_{6023}(37, \cdot)\)$, \cdots ,$\(\chi_{6023}(5585, \cdot)\)
|
$6023$ |
$6023$ |
$158$ |
not computed |
$\Q(\zeta_{79})$ |
odd |
|
✓ |
✓ |
| 6023.u |
\(\chi_{6023}(113, \cdot)\)$, \cdots ,$\(\chi_{6023}(5984, \cdot)\)
|
$6023$ |
$6023$ |
$158$ |
not computed |
$\Q(\zeta_{79})$ |
odd |
|
✓ |
✓ |
| 6023.v |
\(\chi_{6023}(39, \cdot)\)$, \cdots ,$\(\chi_{6023}(5910, \cdot)\)
|
$6023$ |
$317$ |
$158$ |
not computed |
$\Q(\zeta_{79})$ |
even |
|
|
✓ |
| 6023.w |
\(\chi_{6023}(11, \cdot)\)$, \cdots ,$\(\chi_{6023}(5882, \cdot)\)
|
$6023$ |
$6023$ |
$237$ |
not computed |
$\Q(\zeta_{237})$ |
even |
|
✓ |
✓ |
| 6023.x |
\(\chi_{6023}(20, \cdot)\)$, \cdots ,$\(\chi_{6023}(6005, \cdot)\)
|
$6023$ |
$317$ |
$316$ |
not computed |
$\Q(\zeta_{316})$ |
odd |
|
|
✓ |
| 6023.y |
\(\chi_{6023}(18, \cdot)\)$, \cdots ,$\(\chi_{6023}(6003, \cdot)\)
|
$6023$ |
$6023$ |
$316$ |
not computed |
$\Q(\zeta_{316})$ |
even |
|
✓ |
✓ |
| 6023.z |
\(\chi_{6023}(7, \cdot)\)$, \cdots ,$\(\chi_{6023}(5992, \cdot)\)
|
$6023$ |
$6023$ |
$474$ |
not computed |
$\Q(\zeta_{237})$ |
even |
|
✓ |
✓ |
| 6023.ba |
\(\chi_{6023}(31, \cdot)\)$, \cdots ,$\(\chi_{6023}(6016, \cdot)\)
|
$6023$ |
$6023$ |
$474$ |
not computed |
$\Q(\zeta_{237})$ |
odd |
|
✓ |
✓ |
| 6023.bb |
\(\chi_{6023}(141, \cdot)\)$, \cdots ,$\(\chi_{6023}(6012, \cdot)\)
|
$6023$ |
$6023$ |
$474$ |
not computed |
$\Q(\zeta_{237})$ |
odd |
|
✓ |
✓ |
| 6023.bc |
\(\chi_{6023}(16, \cdot)\)$, \cdots ,$\(\chi_{6023}(5983, \cdot)\)
|
$6023$ |
$6023$ |
$711$ |
not computed |
$\Q(\zeta_{711})$ |
even |
|
✓ |
✓ |
| 6023.bd |
\(\chi_{6023}(8, \cdot)\)$, \cdots ,$\(\chi_{6023}(5993, \cdot)\)
|
$6023$ |
$6023$ |
$948$ |
not computed |
$\Q(\zeta_{948})$ |
even |
|
✓ |
✓ |
| 6023.be |
\(\chi_{6023}(30, \cdot)\)$, \cdots ,$\(\chi_{6023}(6015, \cdot)\)
|
$6023$ |
$6023$ |
$948$ |
not computed |
$\Q(\zeta_{948})$ |
odd |
|
✓ |
✓ |
| 6023.bf |
\(\chi_{6023}(10, \cdot)\)$, \cdots ,$\(\chi_{6023}(6019, \cdot)\)
|
$6023$ |
$6023$ |
$1422$ |
not computed |
$\Q(\zeta_{711})$ |
odd |
|
✓ |
✓ |
| 6023.bg |
\(\chi_{6023}(4, \cdot)\)$, \cdots ,$\(\chi_{6023}(6013, \cdot)\)
|
$6023$ |
$6023$ |
$1422$ |
not computed |
$\Q(\zeta_{711})$ |
even |
|
✓ |
✓ |
| 6023.bh |
\(\chi_{6023}(40, \cdot)\)$, \cdots ,$\(\chi_{6023}(6007, \cdot)\)
|
$6023$ |
$6023$ |
$1422$ |
not computed |
$\Q(\zeta_{711})$ |
odd |
|
✓ |
✓ |
| 6023.bi |
\(\chi_{6023}(2, \cdot)\)$, \cdots ,$\(\chi_{6023}(6018, \cdot)\)
|
$6023$ |
$6023$ |
$2844$ |
not computed |
$\Q(\zeta_{2844})$ |
even |
|
✓ |
✓ |
| 6023.bj |
\(\chi_{6023}(5, \cdot)\)$, \cdots ,$\(\chi_{6023}(6021, \cdot)\)
|
$6023$ |
$6023$ |
$2844$ |
not computed |
$\Q(\zeta_{2844})$ |
odd |
|
✓ |
✓ |
