| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 3234.a |
\(\chi_{3234}(1, \cdot)\)
|
$3234$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3234.b |
\(\chi_{3234}(3037, \cdot)\)
|
$3234$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3234.c |
\(\chi_{3234}(197, \cdot)\)
|
$3234$ |
$33$ |
$2$ |
\(\Q(\sqrt{33}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3234.d |
\(\chi_{3234}(1079, \cdot)\)
|
$3234$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3234.e |
\(\chi_{3234}(2155, \cdot)\)
|
$3234$ |
$77$ |
$2$ |
\(\Q(\sqrt{77}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3234.f |
\(\chi_{3234}(2353, \cdot)\)
|
$3234$ |
$11$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3234.g |
\(\chi_{3234}(881, \cdot)\)
|
$3234$ |
$21$ |
$2$ |
\(\Q(\sqrt{21}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3234.h |
\(\chi_{3234}(3233, \cdot)\)
|
$3234$ |
$231$ |
$2$ |
\(\Q(\sqrt{-231}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3234.i |
\(\chi_{3234}(67, \cdot)\)$,$ \(\chi_{3234}(1255, \cdot)\)
|
$3234$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3234.j |
\(\chi_{3234}(295, \cdot)\)$, \cdots ,$\(\chi_{3234}(2941, \cdot)\)
|
$3234$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 3234.k |
\(\chi_{3234}(815, \cdot)\)$,$ \(\chi_{3234}(2861, \cdot)\)
|
$3234$ |
$21$ |
$6$ |
\(\Q(\zeta_{21})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3234.l |
\(\chi_{3234}(373, \cdot)\)$,$ \(\chi_{3234}(2419, \cdot)\)
|
$3234$ |
$77$ |
$6$ |
6.0.3195731.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3234.m |
\(\chi_{3234}(1979, \cdot)\)$,$ \(\chi_{3234}(3167, \cdot)\)
|
$3234$ |
$231$ |
$6$ |
6.0.603993159.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3234.n |
\(\chi_{3234}(263, \cdot)\)$,$ \(\chi_{3234}(1451, \cdot)\)
|
$3234$ |
$231$ |
$6$ |
6.6.86284737.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3234.o |
\(\chi_{3234}(1783, \cdot)\)$,$ \(\chi_{3234}(2971, \cdot)\)
|
$3234$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3234.p |
\(\chi_{3234}(901, \cdot)\)$,$ \(\chi_{3234}(2089, \cdot)\)
|
$3234$ |
$77$ |
$6$ |
6.6.22370117.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3234.q |
\(\chi_{3234}(1145, \cdot)\)$,$ \(\chi_{3234}(2333, \cdot)\)
|
$3234$ |
$21$ |
$6$ |
6.0.64827.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3234.r |
\(\chi_{3234}(463, \cdot)\)$, \cdots ,$\(\chi_{3234}(2773, \cdot)\)
|
$3234$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 3234.s |
\(\chi_{3234}(293, \cdot)\)$, \cdots ,$\(\chi_{3234}(2939, \cdot)\)
|
$3234$ |
$231$ |
$10$ |
10.0.9630096522760791.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 3234.t |
\(\chi_{3234}(587, \cdot)\)$, \cdots ,$\(\chi_{3234}(2645, \cdot)\)
|
$3234$ |
$231$ |
$10$ |
10.10.875463320250981.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 3234.u |
\(\chi_{3234}(589, \cdot)\)$, \cdots ,$\(\chi_{3234}(2647, \cdot)\)
|
$3234$ |
$11$ |
$10$ |
\(\Q(\zeta_{11})\) |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 3234.v |
\(\chi_{3234}(391, \cdot)\)$, \cdots ,$\(\chi_{3234}(2449, \cdot)\)
|
$3234$ |
$77$ |
$10$ |
10.10.39630026842637.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 3234.w |
\(\chi_{3234}(785, \cdot)\)$, \cdots ,$\(\chi_{3234}(2843, \cdot)\)
|
$3234$ |
$33$ |
$10$ |
10.0.52089208083.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 3234.x |
\(\chi_{3234}(491, \cdot)\)$, \cdots ,$\(\chi_{3234}(3137, \cdot)\)
|
$3234$ |
$33$ |
$10$ |
\(\Q(\zeta_{33})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
| 3234.y |
\(\chi_{3234}(97, \cdot)\)$, \cdots ,$\(\chi_{3234}(2743, \cdot)\)
|
$3234$ |
$77$ |
$10$ |
10.0.3602729712967.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
| 3234.z |
\(\chi_{3234}(461, \cdot)\)$, \cdots ,$\(\chi_{3234}(2771, \cdot)\)
|
$3234$ |
$1617$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 3234.ba |
\(\chi_{3234}(419, \cdot)\)$, \cdots ,$\(\chi_{3234}(3191, \cdot)\)
|
$3234$ |
$147$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 3234.bb |
\(\chi_{3234}(43, \cdot)\)$, \cdots ,$\(\chi_{3234}(2815, \cdot)\)
|
$3234$ |
$539$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 3234.bc |
\(\chi_{3234}(307, \cdot)\)$, \cdots ,$\(\chi_{3234}(3079, \cdot)\)
|
$3234$ |
$539$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 3234.bd |
\(\chi_{3234}(155, \cdot)\)$, \cdots ,$\(\chi_{3234}(2927, \cdot)\)
|
$3234$ |
$147$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 3234.be |
\(\chi_{3234}(659, \cdot)\)$, \cdots ,$\(\chi_{3234}(2969, \cdot)\)
|
$3234$ |
$1617$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 3234.bf |
\(\chi_{3234}(265, \cdot)\)$, \cdots ,$\(\chi_{3234}(2575, \cdot)\)
|
$3234$ |
$49$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
| 3234.bg |
\(\chi_{3234}(361, \cdot)\)$, \cdots ,$\(\chi_{3234}(3019, \cdot)\)
|
$3234$ |
$77$ |
$15$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 3234.bh |
\(\chi_{3234}(331, \cdot)\)$, \cdots ,$\(\chi_{3234}(3103, \cdot)\)
|
$3234$ |
$49$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 3234.bi |
\(\chi_{3234}(851, \cdot)\)$, \cdots ,$\(\chi_{3234}(3215, \cdot)\)
|
$3234$ |
$231$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 3234.bj |
\(\chi_{3234}(19, \cdot)\)$, \cdots ,$\(\chi_{3234}(2383, \cdot)\)
|
$3234$ |
$77$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 3234.bk |
\(\chi_{3234}(31, \cdot)\)$, \cdots ,$\(\chi_{3234}(2677, \cdot)\)
|
$3234$ |
$77$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 3234.bl |
\(\chi_{3234}(557, \cdot)\)$, \cdots ,$\(\chi_{3234}(3203, \cdot)\)
|
$3234$ |
$231$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 3234.bm |
\(\chi_{3234}(215, \cdot)\)$, \cdots ,$\(\chi_{3234}(2873, \cdot)\)
|
$3234$ |
$231$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 3234.bn |
\(\chi_{3234}(79, \cdot)\)$, \cdots ,$\(\chi_{3234}(2725, \cdot)\)
|
$3234$ |
$77$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
odd |
|
|
|
| 3234.bo |
\(\chi_{3234}(509, \cdot)\)$, \cdots ,$\(\chi_{3234}(3155, \cdot)\)
|
$3234$ |
$231$ |
$30$ |
not computed |
\(\Q(\zeta_{15})\) |
even |
|
|
|
| 3234.bp |
\(\chi_{3234}(169, \cdot)\)$, \cdots ,$\(\chi_{3234}(3193, \cdot)\)
|
$3234$ |
$539$ |
$35$ |
not computed |
$\Q(\zeta_{35})$ |
even |
|
|
✓ |
| 3234.bq |
\(\chi_{3234}(23, \cdot)\)$, \cdots ,$\(\chi_{3234}(2993, \cdot)\)
|
$3234$ |
$147$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 3234.br |
\(\chi_{3234}(241, \cdot)\)$, \cdots ,$\(\chi_{3234}(3211, \cdot)\)
|
$3234$ |
$539$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 3234.bs |
\(\chi_{3234}(199, \cdot)\)$, \cdots ,$\(\chi_{3234}(3169, \cdot)\)
|
$3234$ |
$49$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 3234.bt |
\(\chi_{3234}(65, \cdot)\)$, \cdots ,$\(\chi_{3234}(3035, \cdot)\)
|
$3234$ |
$1617$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 3234.bu |
\(\chi_{3234}(131, \cdot)\)$, \cdots ,$\(\chi_{3234}(2903, \cdot)\)
|
$3234$ |
$1617$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 3234.bv |
\(\chi_{3234}(109, \cdot)\)$, \cdots ,$\(\chi_{3234}(3145, \cdot)\)
|
$3234$ |
$539$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
| 3234.bw |
\(\chi_{3234}(89, \cdot)\)$, \cdots ,$\(\chi_{3234}(3125, \cdot)\)
|
$3234$ |
$147$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
| 3234.bx |
\(\chi_{3234}(181, \cdot)\)$, \cdots ,$\(\chi_{3234}(3205, \cdot)\)
|
$3234$ |
$539$ |
$70$ |
not computed |
$\Q(\zeta_{35})$ |
odd |
|
|
✓ |
