| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 930.a |
\(\chi_{930}(1, \cdot)\)
|
$930$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 930.b |
\(\chi_{930}(869, \cdot)\)
|
$930$ |
$15$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 930.c |
\(\chi_{930}(619, \cdot)\)
|
$930$ |
$155$ |
$2$ |
\(\Q(\sqrt{-155}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 930.d |
\(\chi_{930}(559, \cdot)\)
|
$930$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 930.e |
\(\chi_{930}(929, \cdot)\)
|
$930$ |
$465$ |
$2$ |
\(\Q(\sqrt{465}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 930.f |
\(\chi_{930}(61, \cdot)\)
|
$930$ |
$31$ |
$2$ |
\(\Q(\sqrt{-31}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 930.g |
\(\chi_{930}(311, \cdot)\)
|
$930$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 930.h |
\(\chi_{930}(371, \cdot)\)
|
$930$ |
$93$ |
$2$ |
\(\Q(\sqrt{93}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 930.i |
\(\chi_{930}(211, \cdot)\)$,$ \(\chi_{930}(811, \cdot)\)
|
$930$ |
$31$ |
$3$ |
3.3.961.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 930.j |
\(\chi_{930}(497, \cdot)\)$,$ \(\chi_{930}(683, \cdot)\)
|
$930$ |
$15$ |
$4$ |
\(\Q(\zeta_{15})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 930.k |
\(\chi_{930}(247, \cdot)\)$,$ \(\chi_{930}(433, \cdot)\)
|
$930$ |
$155$ |
$4$ |
4.4.120125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 930.l |
\(\chi_{930}(557, \cdot)\)$,$ \(\chi_{930}(743, \cdot)\)
|
$930$ |
$465$ |
$4$ |
4.0.1081125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 930.m |
\(\chi_{930}(187, \cdot)\)$,$ \(\chi_{930}(373, \cdot)\)
|
$930$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 930.n |
\(\chi_{930}(481, \cdot)\)$, \cdots ,$\(\chi_{930}(901, \cdot)\)
|
$930$ |
$31$ |
$5$ |
5.5.923521.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 930.o |
\(\chi_{930}(161, \cdot)\)$,$ \(\chi_{930}(491, \cdot)\)
|
$930$ |
$93$ |
$6$ |
6.6.772987077.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 930.p |
\(\chi_{930}(191, \cdot)\)$,$ \(\chi_{930}(521, \cdot)\)
|
$930$ |
$93$ |
$6$ |
6.0.24935067.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 930.q |
\(\chi_{930}(181, \cdot)\)$,$ \(\chi_{930}(781, \cdot)\)
|
$930$ |
$31$ |
$6$ |
6.0.28629151.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 930.r |
\(\chi_{930}(119, \cdot)\)$,$ \(\chi_{930}(719, \cdot)\)
|
$930$ |
$465$ |
$6$ |
6.6.96623384625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 930.s |
\(\chi_{930}(439, \cdot)\)$,$ \(\chi_{930}(769, \cdot)\)
|
$930$ |
$155$ |
$6$ |
6.6.115440125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 930.t |
\(\chi_{930}(409, \cdot)\)$,$ \(\chi_{930}(739, \cdot)\)
|
$930$ |
$155$ |
$6$ |
6.0.3578643875.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 930.u |
\(\chi_{930}(149, \cdot)\)$,$ \(\chi_{930}(749, \cdot)\)
|
$930$ |
$465$ |
$6$ |
6.0.3116883375.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 930.v |
\(\chi_{930}(401, \cdot)\)$, \cdots ,$\(\chi_{930}(821, \cdot)\)
|
$930$ |
$93$ |
$10$ |
10.10.6424828185043053.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 930.w |
\(\chi_{930}(101, \cdot)\)$, \cdots ,$\(\chi_{930}(791, \cdot)\)
|
$930$ |
$93$ |
$10$ |
10.0.207252522098163.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 930.x |
\(\chi_{930}(91, \cdot)\)$, \cdots ,$\(\chi_{930}(511, \cdot)\)
|
$930$ |
$31$ |
$10$ |
10.0.26439622160671.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 930.y |
\(\chi_{930}(29, \cdot)\)$, \cdots ,$\(\chi_{930}(449, \cdot)\)
|
$930$ |
$465$ |
$10$ |
10.10.20077588078259540625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 930.z |
\(\chi_{930}(109, \cdot)\)$, \cdots ,$\(\chi_{930}(529, \cdot)\)
|
$930$ |
$155$ |
$10$ |
10.10.2665284492003125.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 930.ba |
\(\chi_{930}(139, \cdot)\)$, \cdots ,$\(\chi_{930}(829, \cdot)\)
|
$930$ |
$155$ |
$10$ |
10.0.82623819252096875.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 930.bb |
\(\chi_{930}(419, \cdot)\)$, \cdots ,$\(\chi_{930}(839, \cdot)\)
|
$930$ |
$465$ |
$10$ |
10.0.647664131556759375.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 930.bc |
\(\chi_{930}(67, \cdot)\)$, \cdots ,$\(\chi_{930}(583, \cdot)\)
|
$930$ |
$155$ |
$12$ |
12.0.1665802807501953125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 930.bd |
\(\chi_{930}(347, \cdot)\)$, \cdots ,$\(\chi_{930}(863, \cdot)\)
|
$930$ |
$465$ |
$12$ |
12.0.1167009807048835798828125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 930.be |
\(\chi_{930}(37, \cdot)\)$, \cdots ,$\(\chi_{930}(553, \cdot)\)
|
$930$ |
$155$ |
$12$ |
12.12.1600836498009376953125.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 930.bf |
\(\chi_{930}(377, \cdot)\)$, \cdots ,$\(\chi_{930}(893, \cdot)\)
|
$930$ |
$465$ |
$12$ |
12.12.1214370246668923828125.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 930.bg |
\(\chi_{930}(121, \cdot)\)$, \cdots ,$\(\chi_{930}(751, \cdot)\)
|
$930$ |
$31$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 930.bh |
\(\chi_{930}(97, \cdot)\)$, \cdots ,$\(\chi_{930}(907, \cdot)\)
|
$930$ |
$155$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
| 930.bi |
\(\chi_{930}(23, \cdot)\)$, \cdots ,$\(\chi_{930}(833, \cdot)\)
|
$930$ |
$465$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
odd |
|
|
✓ |
| 930.bj |
\(\chi_{930}(277, \cdot)\)$, \cdots ,$\(\chi_{930}(883, \cdot)\)
|
$930$ |
$155$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |
| 930.bk |
\(\chi_{930}(47, \cdot)\)$, \cdots ,$\(\chi_{930}(653, \cdot)\)
|
$930$ |
$465$ |
$20$ |
not computed |
\(\Q(\zeta_{20})\) |
even |
|
|
✓ |
| 930.bl |
\(\chi_{930}(59, \cdot)\)$, \cdots ,$\(\chi_{930}(689, \cdot)\)
|
$930$ |
$465$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 930.bm |
\(\chi_{930}(79, \cdot)\)$, \cdots ,$\(\chi_{930}(889, \cdot)\)
|
$930$ |
$155$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 930.bn |
\(\chi_{930}(19, \cdot)\)$, \cdots ,$\(\chi_{930}(919, \cdot)\)
|
$930$ |
$155$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 930.bo |
\(\chi_{930}(179, \cdot)\)$, \cdots ,$\(\chi_{930}(809, \cdot)\)
|
$930$ |
$465$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 930.bp |
\(\chi_{930}(241, \cdot)\)$, \cdots ,$\(\chi_{930}(871, \cdot)\)
|
$930$ |
$31$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 930.bq |
\(\chi_{930}(41, \cdot)\)$, \cdots ,$\(\chi_{930}(851, \cdot)\)
|
$930$ |
$93$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
✓ |
| 930.br |
\(\chi_{930}(11, \cdot)\)$, \cdots ,$\(\chi_{930}(911, \cdot)\)
|
$930$ |
$93$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
✓ |
| 930.bs |
\(\chi_{930}(107, \cdot)\)$, \cdots ,$\(\chi_{930}(917, \cdot)\)
|
$930$ |
$465$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
even |
|
|
✓ |
| 930.bt |
\(\chi_{930}(13, \cdot)\)$, \cdots ,$\(\chi_{930}(823, \cdot)\)
|
$930$ |
$155$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
even |
|
|
✓ |
| 930.bu |
\(\chi_{930}(17, \cdot)\)$, \cdots ,$\(\chi_{930}(923, \cdot)\)
|
$930$ |
$465$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
|
✓ |
| 930.bv |
\(\chi_{930}(7, \cdot)\)$, \cdots ,$\(\chi_{930}(913, \cdot)\)
|
$930$ |
$155$ |
$60$ |
not computed |
\(\Q(\zeta_{60})\) |
odd |
|
|
✓ |
