| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 2304.a |
\(\chi_{2304}(1, \cdot)\)
|
$2304$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
|
| 2304.b |
\(\chi_{2304}(127, \cdot)\)
|
$2304$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 2304.c |
\(\chi_{2304}(2303, \cdot)\)
|
$2304$ |
$12$ |
$2$ |
\(\Q(\sqrt{3}) \) |
\(\Q\) |
even |
✓ |
|
|
| 2304.d |
\(\chi_{2304}(1153, \cdot)\)
|
$2304$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
|
| 2304.e |
\(\chi_{2304}(1025, \cdot)\)
|
$2304$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 2304.f |
\(\chi_{2304}(1151, \cdot)\)
|
$2304$ |
$24$ |
$2$ |
\(\Q(\sqrt{6}) \) |
\(\Q\) |
even |
✓ |
|
|
| 2304.g |
\(\chi_{2304}(1279, \cdot)\)
|
$2304$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 2304.h |
\(\chi_{2304}(2177, \cdot)\)
|
$2304$ |
$24$ |
$2$ |
\(\Q(\sqrt{-6}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 2304.i |
\(\chi_{2304}(769, \cdot)\)$,$ \(\chi_{2304}(1537, \cdot)\)
|
$2304$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 2304.j |
\(\chi_{2304}(449, \cdot)\)$,$ \(\chi_{2304}(1601, \cdot)\)
|
$2304$ |
$48$ |
$4$ |
4.0.18432.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 2304.k |
\(\chi_{2304}(577, \cdot)\)$,$ \(\chi_{2304}(1729, \cdot)\)
|
$2304$ |
$16$ |
$4$ |
\(\Q(\zeta_{16})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2304.l |
\(\chi_{2304}(575, \cdot)\)$,$ \(\chi_{2304}(1727, \cdot)\)
|
$2304$ |
$48$ |
$4$ |
4.4.18432.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2304.m |
\(\chi_{2304}(703, \cdot)\)$,$ \(\chi_{2304}(1855, \cdot)\)
|
$2304$ |
$16$ |
$4$ |
4.0.2048.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 2304.n |
\(\chi_{2304}(641, \cdot)\)$,$ \(\chi_{2304}(1409, \cdot)\)
|
$2304$ |
$72$ |
$6$ |
6.0.10077696.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 2304.o |
\(\chi_{2304}(511, \cdot)\)$,$ \(\chi_{2304}(2047, \cdot)\)
|
$2304$ |
$36$ |
$6$ |
6.0.419904.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 2304.p |
\(\chi_{2304}(383, \cdot)\)$,$ \(\chi_{2304}(1919, \cdot)\)
|
$2304$ |
$72$ |
$6$ |
6.6.10077696.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 2304.q |
\(\chi_{2304}(257, \cdot)\)$,$ \(\chi_{2304}(1793, \cdot)\)
|
$2304$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 2304.r |
\(\chi_{2304}(385, \cdot)\)$,$ \(\chi_{2304}(1921, \cdot)\)
|
$2304$ |
$72$ |
$6$ |
6.6.3359232.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 2304.s |
\(\chi_{2304}(767, \cdot)\)$,$ \(\chi_{2304}(1535, \cdot)\)
|
$2304$ |
$36$ |
$6$ |
\(\Q(\zeta_{36})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 2304.t |
\(\chi_{2304}(895, \cdot)\)$,$ \(\chi_{2304}(1663, \cdot)\)
|
$2304$ |
$72$ |
$6$ |
6.0.3359232.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 2304.u |
\(\chi_{2304}(415, \cdot)\)$, \cdots ,$\(\chi_{2304}(2143, \cdot)\)
|
$2304$ |
$32$ |
$8$ |
8.0.2147483648.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 2304.v |
\(\chi_{2304}(289, \cdot)\)$, \cdots ,$\(\chi_{2304}(2017, \cdot)\)
|
$2304$ |
$32$ |
$8$ |
\(\Q(\zeta_{32})^+\) |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 2304.w |
\(\chi_{2304}(287, \cdot)\)$, \cdots ,$\(\chi_{2304}(2015, \cdot)\)
|
$2304$ |
$96$ |
$8$ |
8.8.173946175488.1 |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 2304.x |
\(\chi_{2304}(161, \cdot)\)$, \cdots ,$\(\chi_{2304}(1889, \cdot)\)
|
$2304$ |
$96$ |
$8$ |
8.0.173946175488.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 2304.y |
\(\chi_{2304}(191, \cdot)\)$, \cdots ,$\(\chi_{2304}(2111, \cdot)\)
|
$2304$ |
$144$ |
$12$ |
12.12.3327916660110655488.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 2304.z |
\(\chi_{2304}(319, \cdot)\)$, \cdots ,$\(\chi_{2304}(2239, \cdot)\)
|
$2304$ |
$144$ |
$12$ |
12.0.369768517790072832.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 2304.ba |
\(\chi_{2304}(65, \cdot)\)$, \cdots ,$\(\chi_{2304}(1985, \cdot)\)
|
$2304$ |
$144$ |
$12$ |
12.0.3327916660110655488.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 2304.bb |
\(\chi_{2304}(193, \cdot)\)$, \cdots ,$\(\chi_{2304}(2113, \cdot)\)
|
$2304$ |
$144$ |
$12$ |
12.12.369768517790072832.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 2304.bc |
\(\chi_{2304}(17, \cdot)\)$, \cdots ,$\(\chi_{2304}(2033, \cdot)\)
|
$2304$ |
$192$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
|
| 2304.bd |
\(\chi_{2304}(145, \cdot)\)$, \cdots ,$\(\chi_{2304}(2161, \cdot)\)
|
$2304$ |
$64$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
|
| 2304.be |
\(\chi_{2304}(143, \cdot)\)$, \cdots ,$\(\chi_{2304}(2159, \cdot)\)
|
$2304$ |
$192$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
|
| 2304.bf |
\(\chi_{2304}(271, \cdot)\)$, \cdots ,$\(\chi_{2304}(2287, \cdot)\)
|
$2304$ |
$64$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
|
| 2304.bg |
\(\chi_{2304}(97, \cdot)\)$, \cdots ,$\(\chi_{2304}(2209, \cdot)\)
|
$2304$ |
$288$ |
$24$ |
not computed |
\(\Q(\zeta_{24})\) |
even |
|
|
|
| 2304.bh |
\(\chi_{2304}(31, \cdot)\)$, \cdots ,$\(\chi_{2304}(1951, \cdot)\)
|
$2304$ |
$288$ |
$24$ |
not computed |
\(\Q(\zeta_{24})\) |
odd |
|
|
|
| 2304.bi |
\(\chi_{2304}(353, \cdot)\)$, \cdots ,$\(\chi_{2304}(2273, \cdot)\)
|
$2304$ |
$288$ |
$24$ |
not computed |
\(\Q(\zeta_{24})\) |
odd |
|
|
|
| 2304.bj |
\(\chi_{2304}(95, \cdot)\)$, \cdots ,$\(\chi_{2304}(2207, \cdot)\)
|
$2304$ |
$288$ |
$24$ |
not computed |
\(\Q(\zeta_{24})\) |
even |
|
|
|
| 2304.bk |
\(\chi_{2304}(55, \cdot)\)$, \cdots ,$\(\chi_{2304}(2215, \cdot)\)
|
$2304$ |
$128$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
odd |
|
|
|
| 2304.bl |
\(\chi_{2304}(73, \cdot)\)$, \cdots ,$\(\chi_{2304}(2233, \cdot)\)
|
$2304$ |
$128$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
even |
|
|
|
| 2304.bm |
\(\chi_{2304}(71, \cdot)\)$, \cdots ,$\(\chi_{2304}(2231, \cdot)\)
|
$2304$ |
$384$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
even |
|
|
|
| 2304.bn |
\(\chi_{2304}(89, \cdot)\)$, \cdots ,$\(\chi_{2304}(2249, \cdot)\)
|
$2304$ |
$384$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
odd |
|
|
|
| 2304.bo |
\(\chi_{2304}(79, \cdot)\)$, \cdots ,$\(\chi_{2304}(2191, \cdot)\)
|
$2304$ |
$576$ |
$48$ |
not computed |
\(\Q(\zeta_{48})\) |
odd |
|
|
|
| 2304.bp |
\(\chi_{2304}(47, \cdot)\)$, \cdots ,$\(\chi_{2304}(2255, \cdot)\)
|
$2304$ |
$576$ |
$48$ |
not computed |
\(\Q(\zeta_{48})\) |
even |
|
|
|
| 2304.bq |
\(\chi_{2304}(49, \cdot)\)$, \cdots ,$\(\chi_{2304}(2257, \cdot)\)
|
$2304$ |
$576$ |
$48$ |
not computed |
\(\Q(\zeta_{48})\) |
even |
|
|
|
| 2304.br |
\(\chi_{2304}(113, \cdot)\)$, \cdots ,$\(\chi_{2304}(2225, \cdot)\)
|
$2304$ |
$576$ |
$48$ |
not computed |
\(\Q(\zeta_{48})\) |
odd |
|
|
|
| 2304.bs |
\(\chi_{2304}(53, \cdot)\)$, \cdots ,$\(\chi_{2304}(2285, \cdot)\)
|
$2304$ |
$768$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
odd |
|
|
✓ |
| 2304.bt |
\(\chi_{2304}(37, \cdot)\)$, \cdots ,$\(\chi_{2304}(2269, \cdot)\)
|
$2304$ |
$256$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
even |
|
|
✓ |
| 2304.bu |
\(\chi_{2304}(35, \cdot)\)$, \cdots ,$\(\chi_{2304}(2267, \cdot)\)
|
$2304$ |
$768$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
even |
|
|
✓ |
| 2304.bv |
\(\chi_{2304}(19, \cdot)\)$, \cdots ,$\(\chi_{2304}(2251, \cdot)\)
|
$2304$ |
$256$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
odd |
|
|
✓ |
| 2304.bw |
\(\chi_{2304}(23, \cdot)\)$, \cdots ,$\(\chi_{2304}(2279, \cdot)\)
|
$2304$ |
$1152$ |
$96$ |
not computed |
$\Q(\zeta_{96})$ |
even |
|
|
|
| 2304.bx |
\(\chi_{2304}(41, \cdot)\)$, \cdots ,$\(\chi_{2304}(2297, \cdot)\)
|
$2304$ |
$1152$ |
$96$ |
not computed |
$\Q(\zeta_{96})$ |
odd |
|
|
|
