| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 2349.a |
\(\chi_{2349}(1, \cdot)\)
|
$2349$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 2349.b |
\(\chi_{2349}(1538, \cdot)\)
|
$2349$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 2349.c |
\(\chi_{2349}(811, \cdot)\)
|
$2349$ |
$29$ |
$2$ |
\(\Q(\sqrt{29}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 2349.d |
\(\chi_{2349}(2348, \cdot)\)
|
$2349$ |
$87$ |
$2$ |
\(\Q(\sqrt{-87}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 2349.e |
\(\chi_{2349}(784, \cdot)\)$,$ \(\chi_{2349}(1567, \cdot)\)
|
$2349$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 2349.f |
\(\chi_{2349}(244, \cdot)\)$,$ \(\chi_{2349}(568, \cdot)\)
|
$2349$ |
$29$ |
$4$ |
4.0.24389.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 2349.g |
\(\chi_{2349}(1781, \cdot)\)$,$ \(\chi_{2349}(2105, \cdot)\)
|
$2349$ |
$87$ |
$4$ |
4.4.219501.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2349.h |
\(\chi_{2349}(782, \cdot)\)$,$ \(\chi_{2349}(1565, \cdot)\)
|
$2349$ |
$261$ |
$6$ |
6.0.480048687.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 2349.i |
\(\chi_{2349}(28, \cdot)\)$,$ \(\chi_{2349}(1594, \cdot)\)
|
$2349$ |
$261$ |
$6$ |
6.6.160016229.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 2349.j |
\(\chi_{2349}(755, \cdot)\)$,$ \(\chi_{2349}(2321, \cdot)\)
|
$2349$ |
$9$ |
$6$ |
\(\Q(\zeta_{9})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 2349.k |
\(\chi_{2349}(82, \cdot)\)$, \cdots ,$\(\chi_{2349}(2269, \cdot)\)
|
$2349$ |
$29$ |
$7$ |
7.7.594823321.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 2349.l |
\(\chi_{2349}(262, \cdot)\)$, \cdots ,$\(\chi_{2349}(2089, \cdot)\)
|
$2349$ |
$27$ |
$9$ |
\(\Q(\zeta_{27})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 2349.m |
\(\chi_{2349}(215, \cdot)\)$, \cdots ,$\(\chi_{2349}(1322, \cdot)\)
|
$2349$ |
$261$ |
$12$ |
12.12.5620365587965550179941.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 2349.n |
\(\chi_{2349}(1027, \cdot)\)$, \cdots ,$\(\chi_{2349}(2134, \cdot)\)
|
$2349$ |
$261$ |
$12$ |
12.0.624485065329505575549.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 2349.o |
\(\chi_{2349}(80, \cdot)\)$, \cdots ,$\(\chi_{2349}(2267, \cdot)\)
|
$2349$ |
$87$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 2349.p |
\(\chi_{2349}(325, \cdot)\)$, \cdots ,$\(\chi_{2349}(2188, \cdot)\)
|
$2349$ |
$29$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 2349.q |
\(\chi_{2349}(161, \cdot)\)$, \cdots ,$\(\chi_{2349}(2024, \cdot)\)
|
$2349$ |
$87$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 2349.r |
\(\chi_{2349}(260, \cdot)\)$, \cdots ,$\(\chi_{2349}(2087, \cdot)\)
|
$2349$ |
$783$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 2349.s |
\(\chi_{2349}(233, \cdot)\)$, \cdots ,$\(\chi_{2349}(2060, \cdot)\)
|
$2349$ |
$27$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
odd |
|
|
|
| 2349.t |
\(\chi_{2349}(289, \cdot)\)$, \cdots ,$\(\chi_{2349}(2116, \cdot)\)
|
$2349$ |
$783$ |
$18$ |
not computed |
\(\Q(\zeta_{9})\) |
even |
|
|
|
| 2349.u |
\(\chi_{2349}(136, \cdot)\)$, \cdots ,$\(\chi_{2349}(2053, \cdot)\)
|
$2349$ |
$261$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
|
| 2349.v |
\(\chi_{2349}(88, \cdot)\)$, \cdots ,$\(\chi_{2349}(2263, \cdot)\)
|
$2349$ |
$81$ |
$27$ |
not computed |
\(\Q(\zeta_{27})\) |
even |
|
|
✓ |
| 2349.w |
\(\chi_{2349}(242, \cdot)\)$, \cdots ,$\(\chi_{2349}(2186, \cdot)\)
|
$2349$ |
$87$ |
$28$ |
not computed |
\(\Q(\zeta_{28})\) |
even |
|
|
✓ |
| 2349.x |
\(\chi_{2349}(163, \cdot)\)$, \cdots ,$\(\chi_{2349}(2107, \cdot)\)
|
$2349$ |
$29$ |
$28$ |
not computed |
\(\Q(\zeta_{28})\) |
odd |
|
|
✓ |
| 2349.y |
\(\chi_{2349}(17, \cdot)\)$, \cdots ,$\(\chi_{2349}(2303, \cdot)\)
|
$2349$ |
$783$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
even |
|
|
|
| 2349.z |
\(\chi_{2349}(46, \cdot)\)$, \cdots ,$\(\chi_{2349}(2332, \cdot)\)
|
$2349$ |
$783$ |
$36$ |
not computed |
\(\Q(\zeta_{36})\) |
odd |
|
|
|
| 2349.ba |
\(\chi_{2349}(53, \cdot)\)$, \cdots ,$\(\chi_{2349}(2240, \cdot)\)
|
$2349$ |
$261$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
|
| 2349.bb |
\(\chi_{2349}(109, \cdot)\)$, \cdots ,$\(\chi_{2349}(2296, \cdot)\)
|
$2349$ |
$261$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
|
| 2349.bc |
\(\chi_{2349}(296, \cdot)\)$, \cdots ,$\(\chi_{2349}(2213, \cdot)\)
|
$2349$ |
$261$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
|
| 2349.bd |
\(\chi_{2349}(86, \cdot)\)$, \cdots ,$\(\chi_{2349}(2261, \cdot)\)
|
$2349$ |
$2349$ |
$54$ |
not computed |
\(\Q(\zeta_{27})\) |
odd |
|
✓ |
✓ |
| 2349.be |
\(\chi_{2349}(115, \cdot)\)$, \cdots ,$\(\chi_{2349}(2290, \cdot)\)
|
$2349$ |
$2349$ |
$54$ |
not computed |
\(\Q(\zeta_{27})\) |
even |
|
✓ |
✓ |
| 2349.bf |
\(\chi_{2349}(59, \cdot)\)$, \cdots ,$\(\chi_{2349}(2234, \cdot)\)
|
$2349$ |
$81$ |
$54$ |
not computed |
\(\Q(\zeta_{27})\) |
odd |
|
|
✓ |
| 2349.bg |
\(\chi_{2349}(181, \cdot)\)$, \cdots ,$\(\chi_{2349}(2314, \cdot)\)
|
$2349$ |
$783$ |
$63$ |
not computed |
$\Q(\zeta_{63})$ |
even |
|
|
|
| 2349.bh |
\(\chi_{2349}(55, \cdot)\)$, \cdots ,$\(\chi_{2349}(2323, \cdot)\)
|
$2349$ |
$261$ |
$84$ |
not computed |
$\Q(\zeta_{84})$ |
odd |
|
|
|
| 2349.bi |
\(\chi_{2349}(26, \cdot)\)$, \cdots ,$\(\chi_{2349}(2294, \cdot)\)
|
$2349$ |
$261$ |
$84$ |
not computed |
$\Q(\zeta_{84})$ |
even |
|
|
|
| 2349.bj |
\(\chi_{2349}(70, \cdot)\)$, \cdots ,$\(\chi_{2349}(2308, \cdot)\)
|
$2349$ |
$2349$ |
$108$ |
not computed |
$\Q(\zeta_{108})$ |
odd |
|
✓ |
✓ |
| 2349.bk |
\(\chi_{2349}(41, \cdot)\)$, \cdots ,$\(\chi_{2349}(2279, \cdot)\)
|
$2349$ |
$2349$ |
$108$ |
not computed |
$\Q(\zeta_{108})$ |
even |
|
✓ |
✓ |
| 2349.bl |
\(\chi_{2349}(64, \cdot)\)$, \cdots ,$\(\chi_{2349}(2197, \cdot)\)
|
$2349$ |
$783$ |
$126$ |
not computed |
$\Q(\zeta_{63})$ |
even |
|
|
|
| 2349.bm |
\(\chi_{2349}(152, \cdot)\)$, \cdots ,$\(\chi_{2349}(2285, \cdot)\)
|
$2349$ |
$783$ |
$126$ |
not computed |
$\Q(\zeta_{63})$ |
odd |
|
|
|
| 2349.bn |
\(\chi_{2349}(35, \cdot)\)$, \cdots ,$\(\chi_{2349}(2168, \cdot)\)
|
$2349$ |
$783$ |
$126$ |
not computed |
$\Q(\zeta_{63})$ |
odd |
|
|
|
| 2349.bo |
\(\chi_{2349}(7, \cdot)\)$, \cdots ,$\(\chi_{2349}(2344, \cdot)\)
|
$2349$ |
$2349$ |
$189$ |
not computed |
$\Q(\zeta_{189})$ |
even |
|
✓ |
✓ |
| 2349.bp |
\(\chi_{2349}(10, \cdot)\)$, \cdots ,$\(\chi_{2349}(2341, \cdot)\)
|
$2349$ |
$783$ |
$252$ |
not computed |
$\Q(\zeta_{252})$ |
odd |
|
|
|
| 2349.bq |
\(\chi_{2349}(8, \cdot)\)$, \cdots ,$\(\chi_{2349}(2339, \cdot)\)
|
$2349$ |
$783$ |
$252$ |
not computed |
$\Q(\zeta_{252})$ |
even |
|
|
|
| 2349.br |
\(\chi_{2349}(20, \cdot)\)$, \cdots ,$\(\chi_{2349}(2345, \cdot)\)
|
$2349$ |
$2349$ |
$378$ |
not computed |
$\Q(\zeta_{189})$ |
odd |
|
✓ |
✓ |
| 2349.bs |
\(\chi_{2349}(4, \cdot)\)$, \cdots ,$\(\chi_{2349}(2329, \cdot)\)
|
$2349$ |
$2349$ |
$378$ |
not computed |
$\Q(\zeta_{189})$ |
even |
|
✓ |
✓ |
| 2349.bt |
\(\chi_{2349}(5, \cdot)\)$, \cdots ,$\(\chi_{2349}(2342, \cdot)\)
|
$2349$ |
$2349$ |
$378$ |
not computed |
$\Q(\zeta_{189})$ |
odd |
|
✓ |
✓ |
| 2349.bu |
\(\chi_{2349}(2, \cdot)\)$, \cdots ,$\(\chi_{2349}(2318, \cdot)\)
|
$2349$ |
$2349$ |
$756$ |
not computed |
$\Q(\zeta_{756})$ |
even |
|
✓ |
✓ |
| 2349.bv |
\(\chi_{2349}(31, \cdot)\)$, \cdots ,$\(\chi_{2349}(2347, \cdot)\)
|
$2349$ |
$2349$ |
$756$ |
not computed |
$\Q(\zeta_{756})$ |
odd |
|
✓ |
✓ |
