| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 608.a |
\(\chi_{608}(1, \cdot)\)
|
$608$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 608.b |
\(\chi_{608}(303, \cdot)\)
|
$608$ |
$152$ |
$2$ |
\(\Q(\sqrt{38}) \) |
\(\Q\) |
even |
✓ |
|
|
| 608.c |
\(\chi_{608}(305, \cdot)\)
|
$608$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
|
| 608.d |
\(\chi_{608}(191, \cdot)\)
|
$608$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 608.e |
\(\chi_{608}(417, \cdot)\)
|
$608$ |
$19$ |
$2$ |
\(\Q(\sqrt{-19}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 608.f |
\(\chi_{608}(495, \cdot)\)
|
$608$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 608.g |
\(\chi_{608}(113, \cdot)\)
|
$608$ |
$152$ |
$2$ |
\(\Q(\sqrt{-38}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 608.h |
\(\chi_{608}(607, \cdot)\)
|
$608$ |
$76$ |
$2$ |
\(\Q(\sqrt{19}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 608.i |
\(\chi_{608}(353, \cdot)\)$,$ \(\chi_{608}(577, \cdot)\)
|
$608$ |
$19$ |
$3$ |
3.3.361.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 608.j |
\(\chi_{608}(265, \cdot)\)$,$ \(\chi_{608}(569, \cdot)\)
|
$608$ |
$304$ |
$4$ |
4.0.739328.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 608.k |
\(\chi_{608}(153, \cdot)\)$,$ \(\chi_{608}(457, \cdot)\)
|
$608$ |
$16$ |
$4$ |
\(\Q(\zeta_{16})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 608.l |
\(\chi_{608}(39, \cdot)\)$,$ \(\chi_{608}(343, \cdot)\)
|
$608$ |
$16$ |
$4$ |
4.0.2048.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 608.m |
\(\chi_{608}(151, \cdot)\)$,$ \(\chi_{608}(455, \cdot)\)
|
$608$ |
$304$ |
$4$ |
4.4.739328.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 608.n |
\(\chi_{608}(31, \cdot)\)$,$ \(\chi_{608}(255, \cdot)\)
|
$608$ |
$76$ |
$6$ |
6.6.158470336.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 608.o |
\(\chi_{608}(239, \cdot)\)$,$ \(\chi_{608}(463, \cdot)\)
|
$608$ |
$152$ |
$6$ |
6.0.66724352.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 608.p |
\(\chi_{608}(145, \cdot)\)$,$ \(\chi_{608}(369, \cdot)\)
|
$608$ |
$152$ |
$6$ |
6.0.1267762688.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 608.q |
\(\chi_{608}(159, \cdot)\)$,$ \(\chi_{608}(543, \cdot)\)
|
$608$ |
$76$ |
$6$ |
6.0.8340544.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 608.r |
\(\chi_{608}(65, \cdot)\)$,$ \(\chi_{608}(449, \cdot)\)
|
$608$ |
$19$ |
$6$ |
6.0.2476099.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 608.s |
\(\chi_{608}(335, \cdot)\)$,$ \(\chi_{608}(559, \cdot)\)
|
$608$ |
$152$ |
$6$ |
6.6.1267762688.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 608.t |
\(\chi_{608}(49, \cdot)\)$,$ \(\chi_{608}(273, \cdot)\)
|
$608$ |
$152$ |
$6$ |
6.6.66724352.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 608.u |
\(\chi_{608}(75, \cdot)\)$, \cdots ,$\(\chi_{608}(531, \cdot)\)
|
$608$ |
$608$ |
$8$ |
8.8.279862216491008.1 |
\(\Q(\zeta_{8})\) |
even |
|
✓ |
✓ |
| 608.v |
\(\chi_{608}(77, \cdot)\)$, \cdots ,$\(\chi_{608}(533, \cdot)\)
|
$608$ |
$32$ |
$8$ |
\(\Q(\zeta_{32})^+\) |
\(\Q(\zeta_{8})\) |
even |
|
|
✓ |
| 608.w |
\(\chi_{608}(37, \cdot)\)$, \cdots ,$\(\chi_{608}(493, \cdot)\)
|
$608$ |
$608$ |
$8$ |
8.0.279862216491008.16 |
\(\Q(\zeta_{8})\) |
odd |
|
✓ |
✓ |
| 608.x |
\(\chi_{608}(115, \cdot)\)$, \cdots ,$\(\chi_{608}(571, \cdot)\)
|
$608$ |
$32$ |
$8$ |
8.0.2147483648.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
✓ |
| 608.y |
\(\chi_{608}(161, \cdot)\)$, \cdots ,$\(\chi_{608}(481, \cdot)\)
|
$608$ |
$19$ |
$9$ |
\(\Q(\zeta_{19})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 608.z |
\(\chi_{608}(121, \cdot)\)$, \cdots ,$\(\chi_{608}(505, \cdot)\)
|
$608$ |
$304$ |
$12$ |
12.12.145887695661298614272.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 608.ba |
\(\chi_{608}(217, \cdot)\)$, \cdots ,$\(\chi_{608}(601, \cdot)\)
|
$608$ |
$304$ |
$12$ |
12.0.52665458133728799752192.46 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 608.bb |
\(\chi_{608}(103, \cdot)\)$, \cdots ,$\(\chi_{608}(487, \cdot)\)
|
$608$ |
$304$ |
$12$ |
12.12.52665458133728799752192.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 608.bc |
\(\chi_{608}(7, \cdot)\)$, \cdots ,$\(\chi_{608}(391, \cdot)\)
|
$608$ |
$304$ |
$12$ |
12.0.145887695661298614272.69 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 608.bd |
\(\chi_{608}(33, \cdot)\)$, \cdots ,$\(\chi_{608}(545, \cdot)\)
|
$608$ |
$19$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 608.be |
\(\chi_{608}(241, \cdot)\)$, \cdots ,$\(\chi_{608}(561, \cdot)\)
|
$608$ |
$152$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 608.bf |
\(\chi_{608}(17, \cdot)\)$, \cdots ,$\(\chi_{608}(593, \cdot)\)
|
$608$ |
$152$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 608.bg |
\(\chi_{608}(47, \cdot)\)$, \cdots ,$\(\chi_{608}(367, \cdot)\)
|
$608$ |
$152$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 608.bh |
\(\chi_{608}(15, \cdot)\)$, \cdots ,$\(\chi_{608}(591, \cdot)\)
|
$608$ |
$152$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 608.bi |
\(\chi_{608}(127, \cdot)\)$, \cdots ,$\(\chi_{608}(447, \cdot)\)
|
$608$ |
$76$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
| 608.bj |
\(\chi_{608}(63, \cdot)\)$, \cdots ,$\(\chi_{608}(575, \cdot)\)
|
$608$ |
$76$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
✓ |
| 608.bk |
\(\chi_{608}(11, \cdot)\)$, \cdots ,$\(\chi_{608}(539, \cdot)\)
|
$608$ |
$608$ |
$24$ |
not computed |
\(\Q(\zeta_{24})\) |
odd |
|
✓ |
✓ |
| 608.bl |
\(\chi_{608}(69, \cdot)\)$, \cdots ,$\(\chi_{608}(597, \cdot)\)
|
$608$ |
$608$ |
$24$ |
not computed |
\(\Q(\zeta_{24})\) |
odd |
|
✓ |
✓ |
| 608.bm |
\(\chi_{608}(45, \cdot)\)$, \cdots ,$\(\chi_{608}(581, \cdot)\)
|
$608$ |
$608$ |
$24$ |
not computed |
\(\Q(\zeta_{24})\) |
even |
|
✓ |
✓ |
| 608.bn |
\(\chi_{608}(27, \cdot)\)$, \cdots ,$\(\chi_{608}(563, \cdot)\)
|
$608$ |
$608$ |
$24$ |
not computed |
\(\Q(\zeta_{24})\) |
even |
|
✓ |
✓ |
| 608.bo |
\(\chi_{608}(71, \cdot)\)$, \cdots ,$\(\chi_{608}(599, \cdot)\)
|
$608$ |
$304$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
|
|
| 608.bp |
\(\chi_{608}(23, \cdot)\)$, \cdots ,$\(\chi_{608}(567, \cdot)\)
|
$608$ |
$304$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
|
|
| 608.bq |
\(\chi_{608}(9, \cdot)\)$, \cdots ,$\(\chi_{608}(537, \cdot)\)
|
$608$ |
$304$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
|
|
| 608.br |
\(\chi_{608}(41, \cdot)\)$, \cdots ,$\(\chi_{608}(585, \cdot)\)
|
$608$ |
$304$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
|
|
| 608.bs |
\(\chi_{608}(5, \cdot)\)$, \cdots ,$\(\chi_{608}(605, \cdot)\)
|
$608$ |
$608$ |
$72$ |
not computed |
$\Q(\zeta_{72})$ |
even |
|
✓ |
✓ |
| 608.bt |
\(\chi_{608}(3, \cdot)\)$, \cdots ,$\(\chi_{608}(603, \cdot)\)
|
$608$ |
$608$ |
$72$ |
not computed |
$\Q(\zeta_{72})$ |
even |
|
✓ |
✓ |
| 608.bu |
\(\chi_{608}(35, \cdot)\)$, \cdots ,$\(\chi_{608}(595, \cdot)\)
|
$608$ |
$608$ |
$72$ |
not computed |
$\Q(\zeta_{72})$ |
odd |
|
✓ |
✓ |
| 608.bv |
\(\chi_{608}(13, \cdot)\)$, \cdots ,$\(\chi_{608}(573, \cdot)\)
|
$608$ |
$608$ |
$72$ |
not computed |
$\Q(\zeta_{72})$ |
odd |
|
✓ |
✓ |
