| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 571.a |
\(\chi_{571}(1, \cdot)\)
|
$571$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 571.b |
\(\chi_{571}(570, \cdot)\)
|
$571$ |
$571$ |
$2$ |
\(\Q(\sqrt{-571}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 571.c |
\(\chi_{571}(109, \cdot)\)$,$ \(\chi_{571}(461, \cdot)\)
|
$571$ |
$571$ |
$3$ |
3.3.326041.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 571.d |
\(\chi_{571}(106, \cdot)\)$, \cdots ,$\(\chi_{571}(481, \cdot)\)
|
$571$ |
$571$ |
$5$ |
5.5.106302733681.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 571.e |
\(\chi_{571}(110, \cdot)\)$,$ \(\chi_{571}(462, \cdot)\)
|
$571$ |
$571$ |
$6$ |
6.0.60698860931851.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 571.f |
\(\chi_{571}(90, \cdot)\)$, \cdots ,$\(\chi_{571}(465, \cdot)\)
|
$571$ |
$571$ |
$10$ |
10.0.6452454848378612343373531.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 571.g |
\(\chi_{571}(134, \cdot)\)$, \cdots ,$\(\chi_{571}(502, \cdot)\)
|
$571$ |
$571$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
✓ |
✓ |
| 571.h |
\(\chi_{571}(31, \cdot)\)$, \cdots ,$\(\chi_{571}(563, \cdot)\)
|
$571$ |
$571$ |
$19$ |
not computed |
\(\Q(\zeta_{19})\) |
even |
|
✓ |
✓ |
| 571.i |
\(\chi_{571}(69, \cdot)\)$, \cdots ,$\(\chi_{571}(437, \cdot)\)
|
$571$ |
$571$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
✓ |
✓ |
| 571.j |
\(\chi_{571}(8, \cdot)\)$, \cdots ,$\(\chi_{571}(540, \cdot)\)
|
$571$ |
$571$ |
$38$ |
not computed |
\(\Q(\zeta_{19})\) |
odd |
|
✓ |
✓ |
| 571.k |
\(\chi_{571}(4, \cdot)\)$, \cdots ,$\(\chi_{571}(569, \cdot)\)
|
$571$ |
$571$ |
$57$ |
not computed |
$\Q(\zeta_{57})$ |
even |
|
✓ |
✓ |
| 571.l |
\(\chi_{571}(6, \cdot)\)$, \cdots ,$\(\chi_{571}(564, \cdot)\)
|
$571$ |
$571$ |
$95$ |
not computed |
$\Q(\zeta_{95})$ |
even |
|
✓ |
✓ |
| 571.m |
\(\chi_{571}(2, \cdot)\)$, \cdots ,$\(\chi_{571}(567, \cdot)\)
|
$571$ |
$571$ |
$114$ |
not computed |
$\Q(\zeta_{57})$ |
odd |
|
✓ |
✓ |
| 571.n |
\(\chi_{571}(7, \cdot)\)$, \cdots ,$\(\chi_{571}(565, \cdot)\)
|
$571$ |
$571$ |
$190$ |
not computed |
$\Q(\zeta_{95})$ |
odd |
|
✓ |
✓ |
| 571.o |
\(\chi_{571}(5, \cdot)\)$, \cdots ,$\(\chi_{571}(568, \cdot)\)
|
$571$ |
$571$ |
$285$ |
not computed |
$\Q(\zeta_{285})$ |
even |
|
✓ |
✓ |
| 571.p |
\(\chi_{571}(3, \cdot)\)$, \cdots ,$\(\chi_{571}(566, \cdot)\)
|
$571$ |
$571$ |
$570$ |
not computed |
$\Q(\zeta_{285})$ |
odd |
|
✓ |
✓ |
