| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 666.a |
\(\chi_{666}(1, \cdot)\)
|
$666$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 666.b |
\(\chi_{666}(593, \cdot)\)
|
$666$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 666.c |
\(\chi_{666}(73, \cdot)\)
|
$666$ |
$37$ |
$2$ |
\(\Q(\sqrt{37}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 666.d |
\(\chi_{666}(665, \cdot)\)
|
$666$ |
$111$ |
$2$ |
\(\Q(\sqrt{-111}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 666.e |
\(\chi_{666}(223, \cdot)\)$,$ \(\chi_{666}(445, \cdot)\)
|
$666$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 666.f |
\(\chi_{666}(343, \cdot)\)$,$ \(\chi_{666}(433, \cdot)\)
|
$666$ |
$37$ |
$3$ |
3.3.1369.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 666.g |
\(\chi_{666}(211, \cdot)\)$,$ \(\chi_{666}(565, \cdot)\)
|
$666$ |
$333$ |
$3$ |
3.3.110889.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 666.h |
\(\chi_{666}(121, \cdot)\)$,$ \(\chi_{666}(655, \cdot)\)
|
$666$ |
$333$ |
$3$ |
3.3.110889.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 666.i |
\(\chi_{666}(253, \cdot)\)$,$ \(\chi_{666}(487, \cdot)\)
|
$666$ |
$37$ |
$4$ |
4.0.50653.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 666.j |
\(\chi_{666}(179, \cdot)\)$,$ \(\chi_{666}(413, \cdot)\)
|
$666$ |
$111$ |
$4$ |
4.4.455877.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 666.k |
\(\chi_{666}(175, \cdot)\)$,$ \(\chi_{666}(529, \cdot)\)
|
$666$ |
$333$ |
$6$ |
6.6.454965701877.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 666.l |
\(\chi_{666}(137, \cdot)\)$,$ \(\chi_{666}(491, \cdot)\)
|
$666$ |
$333$ |
$6$ |
6.0.36889110963.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 666.m |
\(\chi_{666}(233, \cdot)\)$,$ \(\chi_{666}(323, \cdot)\)
|
$666$ |
$111$ |
$6$ |
6.0.1872286839.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 666.n |
\(\chi_{666}(221, \cdot)\)$,$ \(\chi_{666}(443, \cdot)\)
|
$666$ |
$333$ |
$6$ |
6.0.997002999.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 666.o |
\(\chi_{666}(101, \cdot)\)$,$ \(\chi_{666}(455, \cdot)\)
|
$666$ |
$333$ |
$6$ |
6.0.1364897105631.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 666.p |
\(\chi_{666}(269, \cdot)\)$,$ \(\chi_{666}(359, \cdot)\)
|
$666$ |
$111$ |
$6$ |
6.0.50602347.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 666.q |
\(\chi_{666}(295, \cdot)\)$,$ \(\chi_{666}(517, \cdot)\)
|
$666$ |
$333$ |
$6$ |
6.6.332334333.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 666.r |
\(\chi_{666}(149, \cdot)\)$,$ \(\chi_{666}(371, \cdot)\)
|
$666$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 666.s |
\(\chi_{666}(307, \cdot)\)$,$ \(\chi_{666}(397, \cdot)\)
|
$666$ |
$37$ |
$6$ |
6.6.69343957.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 666.t |
\(\chi_{666}(85, \cdot)\)$,$ \(\chi_{666}(619, \cdot)\)
|
$666$ |
$333$ |
$6$ |
6.6.454965701877.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 666.u |
\(\chi_{666}(47, \cdot)\)$,$ \(\chi_{666}(581, \cdot)\)
|
$666$ |
$333$ |
$6$ |
6.0.36889110963.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 666.v |
\(\chi_{666}(11, \cdot)\)$,$ \(\chi_{666}(545, \cdot)\)
|
$666$ |
$333$ |
$6$ |
6.0.1364897105631.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 666.w |
\(\chi_{666}(7, \cdot)\)$, \cdots ,$\(\chi_{666}(571, \cdot)\)
|
$666$ |
$333$ |
$9$ |
9.9.1866675593471230161.1 |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 666.x |
\(\chi_{666}(127, \cdot)\)$, \cdots ,$\(\chi_{666}(451, \cdot)\)
|
$666$ |
$37$ |
$9$ |
9.9.3512479453921.1 |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 666.y |
\(\chi_{666}(229, \cdot)\)$, \cdots ,$\(\chi_{666}(625, \cdot)\)
|
$666$ |
$333$ |
$9$ |
9.9.1866675593471230161.2 |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 666.z |
\(\chi_{666}(199, \cdot)\)$, \cdots ,$\(\chi_{666}(541, \cdot)\)
|
$666$ |
$37$ |
$12$ |
12.0.177917621779460413.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 666.ba |
\(\chi_{666}(23, \cdot)\)$, \cdots ,$\(\chi_{666}(347, \cdot)\)
|
$666$ |
$333$ |
$12$ |
12.12.68928932031515603360601957.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 666.bb |
\(\chi_{666}(191, \cdot)\)$, \cdots ,$\(\chi_{666}(635, \cdot)\)
|
$666$ |
$333$ |
$12$ |
12.12.50349840782699491132653.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 666.bc |
\(\chi_{666}(319, \cdot)\)$, \cdots ,$\(\chi_{666}(643, \cdot)\)
|
$666$ |
$333$ |
$12$ |
12.0.7658770225723955928955773.2 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 666.bd |
\(\chi_{666}(31, \cdot)\)$, \cdots ,$\(\chi_{666}(475, \cdot)\)
|
$666$ |
$333$ |
$12$ |
12.0.5594426753633276792517.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 666.be |
\(\chi_{666}(125, \cdot)\)$, \cdots ,$\(\chi_{666}(467, \cdot)\)
|
$666$ |
$111$ |
$12$ |
12.12.129701946277226641077.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 666.bf |
\(\chi_{666}(245, \cdot)\)$, \cdots ,$\(\chi_{666}(569, \cdot)\)
|
$666$ |
$333$ |
$12$ |
12.12.68928932031515603360601957.2 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 666.bg |
\(\chi_{666}(97, \cdot)\)$, \cdots ,$\(\chi_{666}(421, \cdot)\)
|
$666$ |
$333$ |
$12$ |
12.0.7658770225723955928955773.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 666.bh |
\(\chi_{666}(83, \cdot)\)$, \cdots ,$\(\chi_{666}(641, \cdot)\)
|
$666$ |
$333$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 666.bi |
\(\chi_{666}(41, \cdot)\)$, \cdots ,$\(\chi_{666}(437, \cdot)\)
|
$666$ |
$333$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 666.bj |
\(\chi_{666}(289, \cdot)\)$, \cdots ,$\(\chi_{666}(613, \cdot)\)
|
$666$ |
$37$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 666.bk |
\(\chi_{666}(115, \cdot)\)$, \cdots ,$\(\chi_{666}(511, \cdot)\)
|
$666$ |
$333$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 666.bl |
\(\chi_{666}(215, \cdot)\)$, \cdots ,$\(\chi_{666}(539, \cdot)\)
|
$666$ |
$111$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 666.bm |
\(\chi_{666}(95, \cdot)\)$, \cdots ,$\(\chi_{666}(659, \cdot)\)
|
$666$ |
$333$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 666.bn |
\(\chi_{666}(155, \cdot)\)$, \cdots ,$\(\chi_{666}(551, \cdot)\)
|
$666$ |
$333$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 666.bo |
\(\chi_{666}(53, \cdot)\)$, \cdots ,$\(\chi_{666}(377, \cdot)\)
|
$666$ |
$111$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 666.bp |
\(\chi_{666}(25, \cdot)\)$, \cdots ,$\(\chi_{666}(583, \cdot)\)
|
$666$ |
$333$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 666.bq |
\(\chi_{666}(13, \cdot)\)$, \cdots ,$\(\chi_{666}(661, \cdot)\)
|
$666$ |
$333$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
|
✓ |
| 666.br |
\(\chi_{666}(59, \cdot)\)$, \cdots ,$\(\chi_{666}(605, \cdot)\)
|
$666$ |
$333$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
|
✓ |
| 666.bs |
\(\chi_{666}(17, \cdot)\)$, \cdots ,$\(\chi_{666}(647, \cdot)\)
|
$666$ |
$111$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
|
✓ |
| 666.bt |
\(\chi_{666}(19, \cdot)\)$, \cdots ,$\(\chi_{666}(649, \cdot)\)
|
$666$ |
$37$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
|
✓ |
| 666.bu |
\(\chi_{666}(61, \cdot)\)$, \cdots ,$\(\chi_{666}(607, \cdot)\)
|
$666$ |
$333$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
|
✓ |
| 666.bv |
\(\chi_{666}(5, \cdot)\)$, \cdots ,$\(\chi_{666}(653, \cdot)\)
|
$666$ |
$333$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
|
✓ |
