| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 1156.a |
\(\chi_{1156}(1, \cdot)\)
|
$1156$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1156.b |
\(\chi_{1156}(577, \cdot)\)
|
$1156$ |
$17$ |
$2$ |
\(\Q(\sqrt{17}) \) |
\(\Q\) |
even |
✓ |
|
|
| 1156.c |
\(\chi_{1156}(579, \cdot)\)
|
$1156$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1156.d |
\(\chi_{1156}(1155, \cdot)\)
|
$1156$ |
$68$ |
$2$ |
\(\Q(\sqrt{-17}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 1156.e |
\(\chi_{1156}(829, \cdot)\)$,$ \(\chi_{1156}(905, \cdot)\)
|
$1156$ |
$17$ |
$4$ |
4.4.4913.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 1156.f |
\(\chi_{1156}(251, \cdot)\)$,$ \(\chi_{1156}(327, \cdot)\)
|
$1156$ |
$68$ |
$4$ |
4.0.78608.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 1156.g |
\(\chi_{1156}(155, \cdot)\)$, \cdots ,$\(\chi_{1156}(423, \cdot)\)
|
$1156$ |
$68$ |
$8$ |
8.0.105046700288.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 1156.h |
\(\chi_{1156}(733, \cdot)\)$, \cdots ,$\(\chi_{1156}(1001, \cdot)\)
|
$1156$ |
$17$ |
$8$ |
\(\Q(\zeta_{17})^+\) |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 1156.i |
\(\chi_{1156}(75, \cdot)\)$, \cdots ,$\(\chi_{1156}(1091, \cdot)\)
|
$1156$ |
$68$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
✓ |
| 1156.j |
\(\chi_{1156}(65, \cdot)\)$, \cdots ,$\(\chi_{1156}(1081, \cdot)\)
|
$1156$ |
$17$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
✓ |
| 1156.k |
\(\chi_{1156}(69, \cdot)\)$, \cdots ,$\(\chi_{1156}(1089, \cdot)\)
|
$1156$ |
$289$ |
$17$ |
not computed |
\(\Q(\zeta_{17})\) |
even |
|
|
✓ |
| 1156.l |
\(\chi_{1156}(67, \cdot)\)$, \cdots ,$\(\chi_{1156}(1087, \cdot)\)
|
$1156$ |
$1156$ |
$34$ |
not computed |
\(\Q(\zeta_{17})\) |
odd |
|
✓ |
✓ |
| 1156.m |
\(\chi_{1156}(35, \cdot)\)$, \cdots ,$\(\chi_{1156}(1123, \cdot)\)
|
$1156$ |
$1156$ |
$34$ |
not computed |
\(\Q(\zeta_{17})\) |
odd |
|
✓ |
✓ |
| 1156.n |
\(\chi_{1156}(33, \cdot)\)$, \cdots ,$\(\chi_{1156}(1121, \cdot)\)
|
$1156$ |
$289$ |
$34$ |
not computed |
\(\Q(\zeta_{17})\) |
even |
|
|
✓ |
| 1156.o |
\(\chi_{1156}(47, \cdot)\)$, \cdots ,$\(\chi_{1156}(1143, \cdot)\)
|
$1156$ |
$1156$ |
$68$ |
not computed |
$\Q(\zeta_{68})$ |
odd |
|
✓ |
✓ |
| 1156.p |
\(\chi_{1156}(13, \cdot)\)$, \cdots ,$\(\chi_{1156}(1109, \cdot)\)
|
$1156$ |
$289$ |
$68$ |
not computed |
$\Q(\zeta_{68})$ |
even |
|
|
✓ |
| 1156.q |
\(\chi_{1156}(9, \cdot)\)$, \cdots ,$\(\chi_{1156}(1141, \cdot)\)
|
$1156$ |
$289$ |
$136$ |
not computed |
$\Q(\zeta_{136})$ |
even |
|
|
✓ |
| 1156.r |
\(\chi_{1156}(15, \cdot)\)$, \cdots ,$\(\chi_{1156}(1147, \cdot)\)
|
$1156$ |
$1156$ |
$136$ |
not computed |
$\Q(\zeta_{136})$ |
odd |
|
✓ |
✓ |
| 1156.s |
\(\chi_{1156}(5, \cdot)\)$, \cdots ,$\(\chi_{1156}(1153, \cdot)\)
|
$1156$ |
$289$ |
$272$ |
not computed |
$\Q(\zeta_{272})$ |
odd |
|
|
✓ |
| 1156.t |
\(\chi_{1156}(3, \cdot)\)$, \cdots ,$\(\chi_{1156}(1151, \cdot)\)
|
$1156$ |
$1156$ |
$272$ |
not computed |
$\Q(\zeta_{272})$ |
even |
|
✓ |
✓ |
