| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 143.a |
\(\chi_{143}(1, \cdot)\)
|
$143$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 143.b |
\(\chi_{143}(12, \cdot)\)
|
$143$ |
$13$ |
$2$ |
\(\Q(\sqrt{13}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 143.c |
\(\chi_{143}(131, \cdot)\)
|
$143$ |
$11$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 143.d |
\(\chi_{143}(142, \cdot)\)
|
$143$ |
$143$ |
$2$ |
\(\Q(\sqrt{-143}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 143.e |
\(\chi_{143}(100, \cdot)\)$,$ \(\chi_{143}(133, \cdot)\)
|
$143$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 143.f |
\(\chi_{143}(34, \cdot)\)$,$ \(\chi_{143}(122, \cdot)\)
|
$143$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 143.g |
\(\chi_{143}(21, \cdot)\)$,$ \(\chi_{143}(109, \cdot)\)
|
$143$ |
$143$ |
$4$ |
4.4.265837.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 143.h |
\(\chi_{143}(14, \cdot)\)$, \cdots ,$\(\chi_{143}(92, \cdot)\)
|
$143$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 143.i |
\(\chi_{143}(10, \cdot)\)$,$ \(\chi_{143}(43, \cdot)\)
|
$143$ |
$143$ |
$6$ |
6.0.494190983.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 143.j |
\(\chi_{143}(23, \cdot)\)$,$ \(\chi_{143}(56, \cdot)\)
|
$143$ |
$13$ |
$6$ |
\(\Q(\zeta_{13})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 143.k |
\(\chi_{143}(87, \cdot)\)$,$ \(\chi_{143}(120, \cdot)\)
|
$143$ |
$143$ |
$6$ |
6.0.38014691.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 143.l |
\(\chi_{143}(51, \cdot)\)$, \cdots ,$\(\chi_{143}(129, \cdot)\)
|
$143$ |
$143$ |
$10$ |
10.0.875489472034463.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
| 143.m |
\(\chi_{143}(40, \cdot)\)$, \cdots ,$\(\chi_{143}(118, \cdot)\)
|
$143$ |
$11$ |
$10$ |
\(\Q(\zeta_{11})\) |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 143.n |
\(\chi_{143}(25, \cdot)\)$, \cdots ,$\(\chi_{143}(103, \cdot)\)
|
$143$ |
$143$ |
$10$ |
10.10.79589952003133.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
| 143.o |
\(\chi_{143}(32, \cdot)\)$, \cdots ,$\(\chi_{143}(98, \cdot)\)
|
$143$ |
$143$ |
$12$ |
12.12.3174921459820581757.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 143.p |
\(\chi_{143}(45, \cdot)\)$, \cdots ,$\(\chi_{143}(111, \cdot)\)
|
$143$ |
$13$ |
$12$ |
\(\Q(\zeta_{13})\) |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 143.q |
\(\chi_{143}(3, \cdot)\)$, \cdots ,$\(\chi_{143}(126, \cdot)\)
|
$143$ |
$143$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
✓ |
✓ |
| 143.r |
\(\chi_{143}(5, \cdot)\)$, \cdots ,$\(\chi_{143}(135, \cdot)\)
|
$143$ |
$143$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
✓ |
✓ |
| 143.s |
\(\chi_{143}(8, \cdot)\)$, \cdots ,$\(\chi_{143}(138, \cdot)\)
|
$143$ |
$143$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
✓ |
✓ |
| 143.t |
\(\chi_{143}(29, \cdot)\)$, \cdots ,$\(\chi_{143}(139, \cdot)\)
|
$143$ |
$143$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
✓ |
✓ |
| 143.u |
\(\chi_{143}(4, \cdot)\)$, \cdots ,$\(\chi_{143}(114, \cdot)\)
|
$143$ |
$143$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
✓ |
✓ |
| 143.v |
\(\chi_{143}(17, \cdot)\)$, \cdots ,$\(\chi_{143}(140, \cdot)\)
|
$143$ |
$143$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
✓ |
✓ |
| 143.w |
\(\chi_{143}(2, \cdot)\)$, \cdots ,$\(\chi_{143}(128, \cdot)\)
|
$143$ |
$143$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
even |
|
✓ |
✓ |
| 143.x |
\(\chi_{143}(15, \cdot)\)$, \cdots ,$\(\chi_{143}(141, \cdot)\)
|
$143$ |
$143$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
✓ |
✓ |
