| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 1734.a |
\(\chi_{1734}(1, \cdot)\)
|
$1734$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1734.b |
\(\chi_{1734}(577, \cdot)\)
|
$1734$ |
$17$ |
$2$ |
\(\Q(\sqrt{17}) \) |
\(\Q\) |
even |
✓ |
|
|
| 1734.c |
\(\chi_{1734}(1157, \cdot)\)
|
$1734$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1734.d |
\(\chi_{1734}(1733, \cdot)\)
|
$1734$ |
$51$ |
$2$ |
\(\Q(\sqrt{-51}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 1734.e |
\(\chi_{1734}(251, \cdot)\)$,$ \(\chi_{1734}(905, \cdot)\)
|
$1734$ |
$51$ |
$4$ |
4.0.44217.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 1734.f |
\(\chi_{1734}(829, \cdot)\)$,$ \(\chi_{1734}(1483, \cdot)\)
|
$1734$ |
$17$ |
$4$ |
4.4.4913.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 1734.g |
\(\chi_{1734}(155, \cdot)\)$, \cdots ,$\(\chi_{1734}(1001, \cdot)\)
|
$1734$ |
$51$ |
$8$ |
8.0.33237432513.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 1734.h |
\(\chi_{1734}(733, \cdot)\)$, \cdots ,$\(\chi_{1734}(1579, \cdot)\)
|
$1734$ |
$17$ |
$8$ |
\(\Q(\zeta_{17})^+\) |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 1734.i |
\(\chi_{1734}(65, \cdot)\)$, \cdots ,$\(\chi_{1734}(1091, \cdot)\)
|
$1734$ |
$51$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
✓ |
| 1734.j |
\(\chi_{1734}(643, \cdot)\)$, \cdots ,$\(\chi_{1734}(1669, \cdot)\)
|
$1734$ |
$17$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
✓ |
| 1734.k |
\(\chi_{1734}(103, \cdot)\)$, \cdots ,$\(\chi_{1734}(1633, \cdot)\)
|
$1734$ |
$289$ |
$17$ |
not computed |
\(\Q(\zeta_{17})\) |
even |
|
|
✓ |
| 1734.l |
\(\chi_{1734}(101, \cdot)\)$, \cdots ,$\(\chi_{1734}(1631, \cdot)\)
|
$1734$ |
$867$ |
$34$ |
not computed |
\(\Q(\zeta_{17})\) |
odd |
|
|
✓ |
| 1734.m |
\(\chi_{1734}(35, \cdot)\)$, \cdots ,$\(\chi_{1734}(1667, \cdot)\)
|
$1734$ |
$867$ |
$34$ |
not computed |
\(\Q(\zeta_{17})\) |
odd |
|
|
✓ |
| 1734.n |
\(\chi_{1734}(67, \cdot)\)$, \cdots ,$\(\chi_{1734}(1699, \cdot)\)
|
$1734$ |
$289$ |
$34$ |
not computed |
\(\Q(\zeta_{17})\) |
even |
|
|
✓ |
| 1734.o |
\(\chi_{1734}(13, \cdot)\)$, \cdots ,$\(\chi_{1734}(1687, \cdot)\)
|
$1734$ |
$289$ |
$68$ |
not computed |
$\Q(\zeta_{68})$ |
even |
|
|
✓ |
| 1734.p |
\(\chi_{1734}(47, \cdot)\)$, \cdots ,$\(\chi_{1734}(1721, \cdot)\)
|
$1734$ |
$867$ |
$68$ |
not computed |
$\Q(\zeta_{68})$ |
odd |
|
|
✓ |
| 1734.q |
\(\chi_{1734}(19, \cdot)\)$, \cdots ,$\(\chi_{1734}(1681, \cdot)\)
|
$1734$ |
$289$ |
$136$ |
not computed |
$\Q(\zeta_{136})$ |
even |
|
|
✓ |
| 1734.r |
\(\chi_{1734}(53, \cdot)\)$, \cdots ,$\(\chi_{1734}(1715, \cdot)\)
|
$1734$ |
$867$ |
$136$ |
not computed |
$\Q(\zeta_{136})$ |
odd |
|
|
✓ |
| 1734.s |
\(\chi_{1734}(7, \cdot)\)$, \cdots ,$\(\chi_{1734}(1729, \cdot)\)
|
$1734$ |
$289$ |
$272$ |
not computed |
$\Q(\zeta_{272})$ |
odd |
|
|
✓ |
| 1734.t |
\(\chi_{1734}(5, \cdot)\)$, \cdots ,$\(\chi_{1734}(1727, \cdot)\)
|
$1734$ |
$867$ |
$272$ |
not computed |
$\Q(\zeta_{272})$ |
even |
|
|
✓ |
