| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 875.a |
\(\chi_{875}(1, \cdot)\)
|
$875$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 875.b |
\(\chi_{875}(624, \cdot)\)
|
$875$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
| 875.c |
\(\chi_{875}(874, \cdot)\)
|
$875$ |
$35$ |
$2$ |
\(\Q(\sqrt{-35}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 875.d |
\(\chi_{875}(251, \cdot)\)
|
$875$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 875.e |
\(\chi_{875}(501, \cdot)\)$,$ \(\chi_{875}(751, \cdot)\)
|
$875$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 875.f |
\(\chi_{875}(307, \cdot)\)$,$ \(\chi_{875}(818, \cdot)\)
|
$875$ |
$35$ |
$4$ |
4.4.6125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 875.g |
\(\chi_{875}(57, \cdot)\)$,$ \(\chi_{875}(568, \cdot)\)
|
$875$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 875.h |
\(\chi_{875}(176, \cdot)\)$, \cdots ,$\(\chi_{875}(701, \cdot)\)
|
$875$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 875.i |
\(\chi_{875}(376, \cdot)\)$,$ \(\chi_{875}(626, \cdot)\)
|
$875$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 875.j |
\(\chi_{875}(124, \cdot)\)$,$ \(\chi_{875}(374, \cdot)\)
|
$875$ |
$35$ |
$6$ |
6.0.2100875.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 875.k |
\(\chi_{875}(249, \cdot)\)$,$ \(\chi_{875}(499, \cdot)\)
|
$875$ |
$35$ |
$6$ |
6.6.300125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 875.l |
\(\chi_{875}(76, \cdot)\)$, \cdots ,$\(\chi_{875}(776, \cdot)\)
|
$875$ |
$175$ |
$10$ |
10.0.2564544677734375.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
|
| 875.m |
\(\chi_{875}(174, \cdot)\)$, \cdots ,$\(\chi_{875}(699, \cdot)\)
|
$875$ |
$175$ |
$10$ |
10.0.12822723388671875.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
|
| 875.n |
\(\chi_{875}(99, \cdot)\)$, \cdots ,$\(\chi_{875}(799, \cdot)\)
|
$875$ |
$25$ |
$10$ |
\(\Q(\zeta_{25})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 875.o |
\(\chi_{875}(68, \cdot)\)$, \cdots ,$\(\chi_{875}(682, \cdot)\)
|
$875$ |
$35$ |
$12$ |
\(\Q(\zeta_{35})^+\) |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 875.p |
\(\chi_{875}(193, \cdot)\)$, \cdots ,$\(\chi_{875}(807, \cdot)\)
|
$875$ |
$35$ |
$12$ |
12.0.11259376953125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 875.q |
\(\chi_{875}(51, \cdot)\)$, \cdots ,$\(\chi_{875}(851, \cdot)\)
|
$875$ |
$175$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 875.r |
\(\chi_{875}(43, \cdot)\)$, \cdots ,$\(\chi_{875}(757, \cdot)\)
|
$875$ |
$25$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
|
| 875.s |
\(\chi_{875}(118, \cdot)\)$, \cdots ,$\(\chi_{875}(832, \cdot)\)
|
$875$ |
$175$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
|
| 875.t |
\(\chi_{875}(36, \cdot)\)$, \cdots ,$\(\chi_{875}(841, \cdot)\)
|
$875$ |
$125$ |
$25$ |
not computed |
\(\Q(\zeta_{25})\) |
even |
|
|
✓ |
| 875.u |
\(\chi_{875}(74, \cdot)\)$, \cdots ,$\(\chi_{875}(849, \cdot)\)
|
$875$ |
$175$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 875.v |
\(\chi_{875}(24, \cdot)\)$, \cdots ,$\(\chi_{875}(824, \cdot)\)
|
$875$ |
$175$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 875.w |
\(\chi_{875}(26, \cdot)\)$, \cdots ,$\(\chi_{875}(801, \cdot)\)
|
$875$ |
$175$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 875.x |
\(\chi_{875}(6, \cdot)\)$, \cdots ,$\(\chi_{875}(846, \cdot)\)
|
$875$ |
$875$ |
$50$ |
not computed |
\(\Q(\zeta_{25})\) |
odd |
|
✓ |
✓ |
| 875.y |
\(\chi_{875}(29, \cdot)\)$, \cdots ,$\(\chi_{875}(869, \cdot)\)
|
$875$ |
$125$ |
$50$ |
not computed |
\(\Q(\zeta_{25})\) |
even |
|
|
✓ |
| 875.z |
\(\chi_{875}(34, \cdot)\)$, \cdots ,$\(\chi_{875}(839, \cdot)\)
|
$875$ |
$875$ |
$50$ |
not computed |
\(\Q(\zeta_{25})\) |
odd |
|
✓ |
✓ |
| 875.ba |
\(\chi_{875}(18, \cdot)\)$, \cdots ,$\(\chi_{875}(793, \cdot)\)
|
$875$ |
$175$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
|
|
| 875.bb |
\(\chi_{875}(82, \cdot)\)$, \cdots ,$\(\chi_{875}(857, \cdot)\)
|
$875$ |
$175$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
even |
|
|
|
| 875.bc |
\(\chi_{875}(11, \cdot)\)$, \cdots ,$\(\chi_{875}(856, \cdot)\)
|
$875$ |
$875$ |
$75$ |
not computed |
$\Q(\zeta_{75})$ |
even |
|
✓ |
✓ |
| 875.bd |
\(\chi_{875}(13, \cdot)\)$, \cdots ,$\(\chi_{875}(867, \cdot)\)
|
$875$ |
$875$ |
$100$ |
not computed |
$\Q(\zeta_{100})$ |
even |
|
✓ |
✓ |
| 875.be |
\(\chi_{875}(8, \cdot)\)$, \cdots ,$\(\chi_{875}(862, \cdot)\)
|
$875$ |
$125$ |
$100$ |
not computed |
$\Q(\zeta_{100})$ |
odd |
|
|
✓ |
| 875.bf |
\(\chi_{875}(19, \cdot)\)$, \cdots ,$\(\chi_{875}(864, \cdot)\)
|
$875$ |
$875$ |
$150$ |
not computed |
$\Q(\zeta_{75})$ |
odd |
|
✓ |
✓ |
| 875.bg |
\(\chi_{875}(4, \cdot)\)$, \cdots ,$\(\chi_{875}(844, \cdot)\)
|
$875$ |
$875$ |
$150$ |
not computed |
$\Q(\zeta_{75})$ |
even |
|
✓ |
✓ |
| 875.bh |
\(\chi_{875}(31, \cdot)\)$, \cdots ,$\(\chi_{875}(871, \cdot)\)
|
$875$ |
$875$ |
$150$ |
not computed |
$\Q(\zeta_{75})$ |
odd |
|
✓ |
✓ |
| 875.bi |
\(\chi_{875}(2, \cdot)\)$, \cdots ,$\(\chi_{875}(872, \cdot)\)
|
$875$ |
$875$ |
$300$ |
not computed |
$\Q(\zeta_{300})$ |
odd |
|
✓ |
✓ |
| 875.bj |
\(\chi_{875}(3, \cdot)\)$, \cdots ,$\(\chi_{875}(873, \cdot)\)
|
$875$ |
$875$ |
$300$ |
not computed |
$\Q(\zeta_{300})$ |
even |
|
✓ |
✓ |
