| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 287.a |
\(\chi_{287}(1, \cdot)\)
|
$287$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 287.b |
\(\chi_{287}(83, \cdot)\)
|
$287$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 287.c |
\(\chi_{287}(204, \cdot)\)
|
$287$ |
$41$ |
$2$ |
\(\Q(\sqrt{41}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 287.d |
\(\chi_{287}(286, \cdot)\)
|
$287$ |
$287$ |
$2$ |
\(\Q(\sqrt{-287}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 287.e |
\(\chi_{287}(165, \cdot)\)$,$ \(\chi_{287}(247, \cdot)\)
|
$287$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 287.f |
\(\chi_{287}(50, \cdot)\)$,$ \(\chi_{287}(155, \cdot)\)
|
$287$ |
$41$ |
$4$ |
4.4.68921.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 287.g |
\(\chi_{287}(132, \cdot)\)$,$ \(\chi_{287}(237, \cdot)\)
|
$287$ |
$287$ |
$4$ |
4.0.3377129.1 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 287.h |
\(\chi_{287}(57, \cdot)\)$, \cdots ,$\(\chi_{287}(141, \cdot)\)
|
$287$ |
$41$ |
$5$ |
5.5.2825761.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 287.i |
\(\chi_{287}(40, \cdot)\)$,$ \(\chi_{287}(122, \cdot)\)
|
$287$ |
$287$ |
$6$ |
6.0.1158355247.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 287.j |
\(\chi_{287}(81, \cdot)\)$,$ \(\chi_{287}(163, \cdot)\)
|
$287$ |
$287$ |
$6$ |
6.6.165479321.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 287.k |
\(\chi_{287}(124, \cdot)\)$,$ \(\chi_{287}(206, \cdot)\)
|
$287$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 287.l |
\(\chi_{287}(27, \cdot)\)$, \cdots ,$\(\chi_{287}(202, \cdot)\)
|
$287$ |
$287$ |
$8$ |
8.8.467605011588281.1 |
\(\Q(\zeta_{8})\) |
even |
|
✓ |
✓ |
| 287.m |
\(\chi_{287}(85, \cdot)\)$, \cdots ,$\(\chi_{287}(260, \cdot)\)
|
$287$ |
$41$ |
$8$ |
8.0.194754273881.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
✓ |
| 287.n |
\(\chi_{287}(64, \cdot)\)$, \cdots ,$\(\chi_{287}(148, \cdot)\)
|
$287$ |
$41$ |
$10$ |
10.10.327381934393961.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 287.o |
\(\chi_{287}(139, \cdot)\)$, \cdots ,$\(\chi_{287}(223, \cdot)\)
|
$287$ |
$287$ |
$10$ |
10.0.134202638325836647.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 287.p |
\(\chi_{287}(146, \cdot)\)$, \cdots ,$\(\chi_{287}(230, \cdot)\)
|
$287$ |
$287$ |
$10$ |
10.0.5502308171359302527.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 287.q |
\(\chi_{287}(73, \cdot)\)$, \cdots ,$\(\chi_{287}(278, \cdot)\)
|
$287$ |
$287$ |
$12$ |
12.0.92477293436035797571289.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 287.r |
\(\chi_{287}(9, \cdot)\)$, \cdots ,$\(\chi_{287}(214, \cdot)\)
|
$287$ |
$287$ |
$12$ |
12.12.1887291702776240766761.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 287.s |
\(\chi_{287}(16, \cdot)\)$, \cdots ,$\(\chi_{287}(256, \cdot)\)
|
$287$ |
$287$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
✓ |
✓ |
| 287.t |
\(\chi_{287}(20, \cdot)\)$, \cdots ,$\(\chi_{287}(279, \cdot)\)
|
$287$ |
$287$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
✓ |
✓ |
| 287.u |
\(\chi_{287}(8, \cdot)\)$, \cdots ,$\(\chi_{287}(267, \cdot)\)
|
$287$ |
$41$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |
| 287.v |
\(\chi_{287}(44, \cdot)\)$, \cdots ,$\(\chi_{287}(284, \cdot)\)
|
$287$ |
$287$ |
$24$ |
not computed |
\(\Q(\zeta_{24})\) |
odd |
|
✓ |
✓ |
| 287.w |
\(\chi_{287}(3, \cdot)\)$, \cdots ,$\(\chi_{287}(243, \cdot)\)
|
$287$ |
$287$ |
$24$ |
not computed |
\(\Q(\zeta_{24})\) |
even |
|
✓ |
✓ |
| 287.x |
\(\chi_{287}(31, \cdot)\)$, \cdots ,$\(\chi_{287}(271, \cdot)\)
|
$287$ |
$287$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
✓ |
✓ |
| 287.y |
\(\chi_{287}(10, \cdot)\)$, \cdots ,$\(\chi_{287}(283, \cdot)\)
|
$287$ |
$287$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
✓ |
✓ |
| 287.z |
\(\chi_{287}(4, \cdot)\)$, \cdots ,$\(\chi_{287}(277, \cdot)\)
|
$287$ |
$287$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
✓ |
✓ |
| 287.ba |
\(\chi_{287}(15, \cdot)\)$, \cdots ,$\(\chi_{287}(281, \cdot)\)
|
$287$ |
$41$ |
$40$ |
not computed |
\(\Q(\zeta_{40})\) |
odd |
|
|
✓ |
| 287.bb |
\(\chi_{287}(6, \cdot)\)$, \cdots ,$\(\chi_{287}(272, \cdot)\)
|
$287$ |
$287$ |
$40$ |
not computed |
\(\Q(\zeta_{40})\) |
even |
|
✓ |
✓ |
| 287.bc |
\(\chi_{287}(2, \cdot)\)$, \cdots ,$\(\chi_{287}(282, \cdot)\)
|
$287$ |
$287$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
even |
|
✓ |
✓ |
| 287.bd |
\(\chi_{287}(5, \cdot)\)$, \cdots ,$\(\chi_{287}(285, \cdot)\)
|
$287$ |
$287$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
✓ |
✓ |
| 287.be |
\(\chi_{287}(12, \cdot)\)$, \cdots ,$\(\chi_{287}(276, \cdot)\)
|
$287$ |
$287$ |
$120$ |
not computed |
$\Q(\zeta_{120})$ |
even |
|
✓ |
✓ |
| 287.bf |
\(\chi_{287}(11, \cdot)\)$, \cdots ,$\(\chi_{287}(275, \cdot)\)
|
$287$ |
$287$ |
$120$ |
not computed |
$\Q(\zeta_{120})$ |
odd |
|
✓ |
✓ |
