| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 1014.a |
\(\chi_{1014}(1, \cdot)\)
|
$1014$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1014.b |
\(\chi_{1014}(337, \cdot)\)
|
$1014$ |
$13$ |
$2$ |
\(\Q(\sqrt{13}) \) |
\(\Q\) |
even |
✓ |
|
|
| 1014.c |
\(\chi_{1014}(677, \cdot)\)
|
$1014$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1014.d |
\(\chi_{1014}(1013, \cdot)\)
|
$1014$ |
$39$ |
$2$ |
\(\Q(\sqrt{-39}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 1014.e |
\(\chi_{1014}(529, \cdot)\)$,$ \(\chi_{1014}(991, \cdot)\)
|
$1014$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1014.f |
\(\chi_{1014}(577, \cdot)\)$,$ \(\chi_{1014}(775, \cdot)\)
|
$1014$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 1014.g |
\(\chi_{1014}(239, \cdot)\)$,$ \(\chi_{1014}(437, \cdot)\)
|
$1014$ |
$39$ |
$4$ |
4.4.19773.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 1014.h |
\(\chi_{1014}(191, \cdot)\)$,$ \(\chi_{1014}(653, \cdot)\)
|
$1014$ |
$39$ |
$6$ |
6.0.771147.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1014.i |
\(\chi_{1014}(361, \cdot)\)$,$ \(\chi_{1014}(823, \cdot)\)
|
$1014$ |
$13$ |
$6$ |
\(\Q(\zeta_{13})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1014.j |
\(\chi_{1014}(23, \cdot)\)$,$ \(\chi_{1014}(485, \cdot)\)
|
$1014$ |
$39$ |
$6$ |
6.0.10024911.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1014.k |
\(\chi_{1014}(89, \cdot)\)$, \cdots ,$\(\chi_{1014}(995, \cdot)\)
|
$1014$ |
$39$ |
$12$ |
\(\Q(\zeta_{39})^+\) |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 1014.l |
\(\chi_{1014}(19, \cdot)\)$, \cdots ,$\(\chi_{1014}(925, \cdot)\)
|
$1014$ |
$13$ |
$12$ |
\(\Q(\zeta_{13})\) |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 1014.m |
\(\chi_{1014}(79, \cdot)\)$, \cdots ,$\(\chi_{1014}(937, \cdot)\)
|
$1014$ |
$169$ |
$13$ |
not computed |
\(\Q(\zeta_{13})\) |
even |
|
|
✓ |
| 1014.n |
\(\chi_{1014}(77, \cdot)\)$, \cdots ,$\(\chi_{1014}(935, \cdot)\)
|
$1014$ |
$507$ |
$26$ |
not computed |
\(\Q(\zeta_{13})\) |
odd |
|
|
✓ |
| 1014.o |
\(\chi_{1014}(53, \cdot)\)$, \cdots ,$\(\chi_{1014}(989, \cdot)\)
|
$1014$ |
$507$ |
$26$ |
not computed |
\(\Q(\zeta_{13})\) |
odd |
|
|
✓ |
| 1014.p |
\(\chi_{1014}(25, \cdot)\)$, \cdots ,$\(\chi_{1014}(961, \cdot)\)
|
$1014$ |
$169$ |
$26$ |
not computed |
\(\Q(\zeta_{13})\) |
even |
|
|
✓ |
| 1014.q |
\(\chi_{1014}(55, \cdot)\)$, \cdots ,$\(\chi_{1014}(997, \cdot)\)
|
$1014$ |
$169$ |
$39$ |
not computed |
$\Q(\zeta_{39})$ |
even |
|
|
✓ |
| 1014.r |
\(\chi_{1014}(5, \cdot)\)$, \cdots ,$\(\chi_{1014}(983, \cdot)\)
|
$1014$ |
$507$ |
$52$ |
not computed |
$\Q(\zeta_{52})$ |
even |
|
|
✓ |
| 1014.s |
\(\chi_{1014}(31, \cdot)\)$, \cdots ,$\(\chi_{1014}(1009, \cdot)\)
|
$1014$ |
$169$ |
$52$ |
not computed |
$\Q(\zeta_{52})$ |
odd |
|
|
✓ |
| 1014.t |
\(\chi_{1014}(17, \cdot)\)$, \cdots ,$\(\chi_{1014}(959, \cdot)\)
|
$1014$ |
$507$ |
$78$ |
not computed |
$\Q(\zeta_{39})$ |
odd |
|
|
✓ |
| 1014.u |
\(\chi_{1014}(43, \cdot)\)$, \cdots ,$\(\chi_{1014}(985, \cdot)\)
|
$1014$ |
$169$ |
$78$ |
not computed |
$\Q(\zeta_{39})$ |
even |
|
|
✓ |
| 1014.v |
\(\chi_{1014}(29, \cdot)\)$, \cdots ,$\(\chi_{1014}(971, \cdot)\)
|
$1014$ |
$507$ |
$78$ |
not computed |
$\Q(\zeta_{39})$ |
odd |
|
|
✓ |
| 1014.w |
\(\chi_{1014}(7, \cdot)\)$, \cdots ,$\(\chi_{1014}(1003, \cdot)\)
|
$1014$ |
$169$ |
$156$ |
not computed |
$\Q(\zeta_{156})$ |
odd |
|
|
✓ |
| 1014.x |
\(\chi_{1014}(11, \cdot)\)$, \cdots ,$\(\chi_{1014}(1007, \cdot)\)
|
$1014$ |
$507$ |
$156$ |
not computed |
$\Q(\zeta_{156})$ |
even |
|
|
✓ |
