| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 1050.a |
\(\chi_{1050}(1, \cdot)\)
|
$1050$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1050.b |
\(\chi_{1050}(251, \cdot)\)
|
$1050$ |
$21$ |
$2$ |
\(\Q(\sqrt{21}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1050.c |
\(\chi_{1050}(449, \cdot)\)
|
$1050$ |
$15$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 1050.d |
\(\chi_{1050}(1049, \cdot)\)
|
$1050$ |
$105$ |
$2$ |
\(\Q(\sqrt{105}) \) |
\(\Q\) |
even |
✓ |
|
|
| 1050.e |
\(\chi_{1050}(701, \cdot)\)
|
$1050$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1050.f |
\(\chi_{1050}(601, \cdot)\)
|
$1050$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1050.g |
\(\chi_{1050}(799, \cdot)\)
|
$1050$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
| 1050.h |
\(\chi_{1050}(349, \cdot)\)
|
$1050$ |
$35$ |
$2$ |
\(\Q(\sqrt{-35}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 1050.i |
\(\chi_{1050}(151, \cdot)\)$,$ \(\chi_{1050}(751, \cdot)\)
|
$1050$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1050.j |
\(\chi_{1050}(407, \cdot)\)$,$ \(\chi_{1050}(743, \cdot)\)
|
$1050$ |
$15$ |
$4$ |
\(\Q(\zeta_{15})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 1050.k |
\(\chi_{1050}(293, \cdot)\)$,$ \(\chi_{1050}(1007, \cdot)\)
|
$1050$ |
$105$ |
$4$ |
4.0.55125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 1050.l |
\(\chi_{1050}(43, \cdot)\)$,$ \(\chi_{1050}(757, \cdot)\)
|
$1050$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 1050.m |
\(\chi_{1050}(307, \cdot)\)$,$ \(\chi_{1050}(643, \cdot)\)
|
$1050$ |
$35$ |
$4$ |
4.4.6125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 1050.n |
\(\chi_{1050}(211, \cdot)\)$, \cdots ,$\(\chi_{1050}(841, \cdot)\)
|
$1050$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1050.o |
\(\chi_{1050}(499, \cdot)\)$,$ \(\chi_{1050}(949, \cdot)\)
|
$1050$ |
$35$ |
$6$ |
6.6.300125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1050.p |
\(\chi_{1050}(451, \cdot)\)$,$ \(\chi_{1050}(901, \cdot)\)
|
$1050$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1050.q |
\(\chi_{1050}(199, \cdot)\)$,$ \(\chi_{1050}(649, \cdot)\)
|
$1050$ |
$35$ |
$6$ |
6.0.2100875.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1050.r |
\(\chi_{1050}(149, \cdot)\)$,$ \(\chi_{1050}(599, \cdot)\)
|
$1050$ |
$105$ |
$6$ |
6.0.8103375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1050.s |
\(\chi_{1050}(101, \cdot)\)$,$ \(\chi_{1050}(551, \cdot)\)
|
$1050$ |
$21$ |
$6$ |
\(\Q(\zeta_{21})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 1050.t |
\(\chi_{1050}(401, \cdot)\)$,$ \(\chi_{1050}(851, \cdot)\)
|
$1050$ |
$21$ |
$6$ |
6.0.64827.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 1050.u |
\(\chi_{1050}(299, \cdot)\)$,$ \(\chi_{1050}(899, \cdot)\)
|
$1050$ |
$105$ |
$6$ |
6.6.56723625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1050.v |
\(\chi_{1050}(139, \cdot)\)$, \cdots ,$\(\chi_{1050}(979, \cdot)\)
|
$1050$ |
$175$ |
$10$ |
10.0.12822723388671875.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1050.w |
\(\chi_{1050}(169, \cdot)\)$, \cdots ,$\(\chi_{1050}(1009, \cdot)\)
|
$1050$ |
$25$ |
$10$ |
\(\Q(\zeta_{25})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1050.x |
\(\chi_{1050}(181, \cdot)\)$, \cdots ,$\(\chi_{1050}(1021, \cdot)\)
|
$1050$ |
$175$ |
$10$ |
10.0.2564544677734375.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1050.y |
\(\chi_{1050}(71, \cdot)\)$, \cdots ,$\(\chi_{1050}(911, \cdot)\)
|
$1050$ |
$75$ |
$10$ |
10.0.37078857421875.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1050.z |
\(\chi_{1050}(209, \cdot)\)$, \cdots ,$\(\chi_{1050}(839, \cdot)\)
|
$1050$ |
$525$ |
$10$ |
10.10.3115921783447265625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1050.ba |
\(\chi_{1050}(29, \cdot)\)$, \cdots ,$\(\chi_{1050}(869, \cdot)\)
|
$1050$ |
$75$ |
$10$ |
10.0.185394287109375.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 1050.bb |
\(\chi_{1050}(41, \cdot)\)$, \cdots ,$\(\chi_{1050}(881, \cdot)\)
|
$1050$ |
$525$ |
$10$ |
10.10.623184356689453125.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 1050.bc |
\(\chi_{1050}(157, \cdot)\)$, \cdots ,$\(\chi_{1050}(943, \cdot)\)
|
$1050$ |
$35$ |
$12$ |
\(\Q(\zeta_{35})^+\) |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 1050.bd |
\(\chi_{1050}(193, \cdot)\)$, \cdots ,$\(\chi_{1050}(907, \cdot)\)
|
$1050$ |
$35$ |
$12$ |
12.0.11259376953125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 1050.be |
\(\chi_{1050}(143, \cdot)\)$, \cdots ,$\(\chi_{1050}(857, \cdot)\)
|
$1050$ |
$105$ |
$12$ |
12.0.402196204142578125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 1050.bf |
\(\chi_{1050}(107, \cdot)\)$, \cdots ,$\(\chi_{1050}(893, \cdot)\)
|
$1050$ |
$105$ |
$12$ |
12.12.8208085798828125.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 1050.bg |
\(\chi_{1050}(121, \cdot)\)$, \cdots ,$\(\chi_{1050}(991, \cdot)\)
|
$1050$ |
$175$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 1050.bh |
\(\chi_{1050}(13, \cdot)\)$, \cdots ,$\(\chi_{1050}(937, \cdot)\)
|
$1050$ |
$175$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |
| 1050.bi |
\(\chi_{1050}(127, \cdot)\)$, \cdots ,$\(\chi_{1050}(967, \cdot)\)
|
$1050$ |
$25$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
| 1050.bj |
\(\chi_{1050}(83, \cdot)\)$, \cdots ,$\(\chi_{1050}(923, \cdot)\)
|
$1050$ |
$525$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
| 1050.bk |
\(\chi_{1050}(113, \cdot)\)$, \cdots ,$\(\chi_{1050}(1037, \cdot)\)
|
$1050$ |
$75$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |
| 1050.bl |
\(\chi_{1050}(59, \cdot)\)$, \cdots ,$\(\chi_{1050}(929, \cdot)\)
|
$1050$ |
$525$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 1050.bm |
\(\chi_{1050}(11, \cdot)\)$, \cdots ,$\(\chi_{1050}(1031, \cdot)\)
|
$1050$ |
$525$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 1050.bn |
\(\chi_{1050}(131, \cdot)\)$, \cdots ,$\(\chi_{1050}(971, \cdot)\)
|
$1050$ |
$525$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 1050.bo |
\(\chi_{1050}(179, \cdot)\)$, \cdots ,$\(\chi_{1050}(1019, \cdot)\)
|
$1050$ |
$525$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 1050.bp |
\(\chi_{1050}(19, \cdot)\)$, \cdots ,$\(\chi_{1050}(1039, \cdot)\)
|
$1050$ |
$175$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 1050.bq |
\(\chi_{1050}(31, \cdot)\)$, \cdots ,$\(\chi_{1050}(871, \cdot)\)
|
$1050$ |
$175$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 1050.br |
\(\chi_{1050}(79, \cdot)\)$, \cdots ,$\(\chi_{1050}(919, \cdot)\)
|
$1050$ |
$175$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 1050.bs |
\(\chi_{1050}(23, \cdot)\)$, \cdots ,$\(\chi_{1050}(977, \cdot)\)
|
$1050$ |
$525$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
even |
|
|
✓ |
| 1050.bt |
\(\chi_{1050}(17, \cdot)\)$, \cdots ,$\(\chi_{1050}(1013, \cdot)\)
|
$1050$ |
$525$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
|
✓ |
| 1050.bu |
\(\chi_{1050}(37, \cdot)\)$, \cdots ,$\(\chi_{1050}(1033, \cdot)\)
|
$1050$ |
$175$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
|
✓ |
| 1050.bv |
\(\chi_{1050}(73, \cdot)\)$, \cdots ,$\(\chi_{1050}(1027, \cdot)\)
|
$1050$ |
$175$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
even |
|
|
✓ |
