| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 3822.a |
\(\chi_{3822}(1, \cdot)\)
|
$3822$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3822.b |
\(\chi_{3822}(2549, \cdot)\)
|
$3822$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3822.c |
\(\chi_{3822}(883, \cdot)\)
|
$3822$ |
$13$ |
$2$ |
\(\Q(\sqrt{13}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3822.d |
\(\chi_{3822}(391, \cdot)\)
|
$3822$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3822.e |
\(\chi_{3822}(3821, \cdot)\)
|
$3822$ |
$273$ |
$2$ |
\(\Q(\sqrt{273}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3822.f |
\(\chi_{3822}(1273, \cdot)\)
|
$3822$ |
$91$ |
$2$ |
\(\Q(\sqrt{-91}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3822.g |
\(\chi_{3822}(2939, \cdot)\)
|
$3822$ |
$21$ |
$2$ |
\(\Q(\sqrt{21}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3822.h |
\(\chi_{3822}(3431, \cdot)\)
|
$3822$ |
$39$ |
$2$ |
\(\Q(\sqrt{-39}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3822.i |
\(\chi_{3822}(79, \cdot)\)$,$ \(\chi_{3822}(2419, \cdot)\)
|
$3822$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3822.j |
\(\chi_{3822}(2713, \cdot)\)$,$ \(\chi_{3822}(3019, \cdot)\)
|
$3822$ |
$91$ |
$3$ |
3.3.8281.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3822.k |
\(\chi_{3822}(373, \cdot)\)$,$ \(\chi_{3822}(1537, \cdot)\)
|
$3822$ |
$91$ |
$3$ |
3.3.8281.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3822.l |
\(\chi_{3822}(295, \cdot)\)$,$ \(\chi_{3822}(2941, \cdot)\)
|
$3822$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 3822.m |
\(\chi_{3822}(2059, \cdot)\)$,$ \(\chi_{3822}(2647, \cdot)\)
|
$3822$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 3822.n |
\(\chi_{3822}(1175, \cdot)\)$,$ \(\chi_{3822}(1763, \cdot)\)
|
$3822$ |
$273$ |
$4$ |
4.0.968877.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 3822.o |
\(\chi_{3822}(2449, \cdot)\)$,$ \(\chi_{3822}(3037, \cdot)\)
|
$3822$ |
$91$ |
$4$ |
4.4.107653.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 3822.p |
\(\chi_{3822}(785, \cdot)\)$,$ \(\chi_{3822}(1373, \cdot)\)
|
$3822$ |
$39$ |
$4$ |
4.4.19773.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 3822.q |
\(\chi_{3822}(881, \cdot)\)$,$ \(\chi_{3822}(3527, \cdot)\)
|
$3822$ |
$273$ |
$6$ |
6.6.3438544473.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 3822.r |
\(\chi_{3822}(685, \cdot)\)$,$ \(\chi_{3822}(3331, \cdot)\)
|
$3822$ |
$91$ |
$6$ |
6.0.9796423.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 3822.s |
\(\chi_{3822}(589, \cdot)\)$,$ \(\chi_{3822}(1765, \cdot)\)
|
$3822$ |
$13$ |
$6$ |
\(\Q(\zeta_{13})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 3822.t |
\(\chi_{3822}(1667, \cdot)\)$,$ \(\chi_{3822}(2843, \cdot)\)
|
$3822$ |
$39$ |
$6$ |
6.0.771147.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 3822.u |
\(\chi_{3822}(3155, \cdot)\)$,$ \(\chi_{3822}(3461, \cdot)\)
|
$3822$ |
$273$ |
$6$ |
6.6.12960667629.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3822.v |
\(\chi_{3822}(901, \cdot)\)$,$ \(\chi_{3822}(3559, \cdot)\)
|
$3822$ |
$91$ |
$6$ |
6.0.6240321451.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3822.w |
\(\chi_{3822}(569, \cdot)\)$,$ \(\chi_{3822}(1733, \cdot)\)
|
$3822$ |
$273$ |
$6$ |
6.0.24069811311.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3822.x |
\(\chi_{3822}(2027, \cdot)\)$,$ \(\chi_{3822}(3509, \cdot)\)
|
$3822$ |
$273$ |
$6$ |
6.0.142424919.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3822.y |
\(\chi_{3822}(2077, \cdot)\)$,$ \(\chi_{3822}(2383, \cdot)\)
|
$3822$ |
$91$ |
$6$ |
6.0.6240321451.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3822.z |
\(\chi_{3822}(521, \cdot)\)$,$ \(\chi_{3822}(2861, \cdot)\)
|
$3822$ |
$21$ |
$6$ |
\(\Q(\zeta_{21})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3822.ba |
\(\chi_{3822}(1195, \cdot)\)$,$ \(\chi_{3822}(2677, \cdot)\)
|
$3822$ |
$91$ |
$6$ |
6.0.36924979.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3822.bb |
\(\chi_{3822}(815, \cdot)\)$,$ \(\chi_{3822}(1979, \cdot)\)
|
$3822$ |
$273$ |
$6$ |
6.6.12960667629.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3822.bc |
\(\chi_{3822}(2909, \cdot)\)$,$ \(\chi_{3822}(3215, \cdot)\)
|
$3822$ |
$273$ |
$6$ |
6.0.24069811311.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3822.bd |
\(\chi_{3822}(361, \cdot)\)$,$ \(\chi_{3822}(667, \cdot)\)
|
$3822$ |
$91$ |
$6$ |
6.6.891474493.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3822.be |
\(\chi_{3822}(263, \cdot)\)$,$ \(\chi_{3822}(2921, \cdot)\)
|
$3822$ |
$273$ |
$6$ |
6.0.1851523947.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3822.bf |
\(\chi_{3822}(2089, \cdot)\)$,$ \(\chi_{3822}(3253, \cdot)\)
|
$3822$ |
$91$ |
$6$ |
6.0.480024727.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3822.bg |
\(\chi_{3822}(1403, \cdot)\)$,$ \(\chi_{3822}(3743, \cdot)\)
|
$3822$ |
$273$ |
$6$ |
6.6.996974433.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3822.bh |
\(\chi_{3822}(313, \cdot)\)$,$ \(\chi_{3822}(1795, \cdot)\)
|
$3822$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3822.bi |
\(\chi_{3822}(803, \cdot)\)$,$ \(\chi_{3822}(1109, \cdot)\)
|
$3822$ |
$273$ |
$6$ |
6.6.168488679177.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3822.bj |
\(\chi_{3822}(1439, \cdot)\)$,$ \(\chi_{3822}(1745, \cdot)\)
|
$3822$ |
$273$ |
$6$ |
6.0.1851523947.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3822.bk |
\(\chi_{3822}(961, \cdot)\)$,$ \(\chi_{3822}(3301, \cdot)\)
|
$3822$ |
$91$ |
$6$ |
6.6.5274997.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3822.bl |
\(\chi_{3822}(1145, \cdot)\)$,$ \(\chi_{3822}(2627, \cdot)\)
|
$3822$ |
$21$ |
$6$ |
6.0.64827.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3822.bm |
\(\chi_{3822}(1843, \cdot)\)$,$ \(\chi_{3822}(3007, \cdot)\)
|
$3822$ |
$91$ |
$6$ |
6.6.891474493.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3822.bn |
\(\chi_{3822}(2285, \cdot)\)$,$ \(\chi_{3822}(3449, \cdot)\)
|
$3822$ |
$273$ |
$6$ |
6.6.168488679177.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 3822.bo |
\(\chi_{3822}(607, \cdot)\)$,$ \(\chi_{3822}(913, \cdot)\)
|
$3822$ |
$91$ |
$6$ |
6.0.480024727.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 3822.bp |
\(\chi_{3822}(491, \cdot)\)$,$ \(\chi_{3822}(3137, \cdot)\)
|
$3822$ |
$39$ |
$6$ |
6.0.10024911.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 3822.bq |
\(\chi_{3822}(2057, \cdot)\)$,$ \(\chi_{3822}(3233, \cdot)\)
|
$3822$ |
$273$ |
$6$ |
6.6.264503421.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 3822.br |
\(\chi_{3822}(979, \cdot)\)$,$ \(\chi_{3822}(2155, \cdot)\)
|
$3822$ |
$91$ |
$6$ |
6.0.127353499.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 3822.bs |
\(\chi_{3822}(547, \cdot)\)$, \cdots ,$\(\chi_{3822}(3277, \cdot)\)
|
$3822$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 3822.bt |
\(\chi_{3822}(1549, \cdot)\)$, \cdots ,$\(\chi_{3822}(3595, \cdot)\)
|
$3822$ |
$91$ |
$12$ |
12.0.10331448031704891637.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 3822.bu |
\(\chi_{3822}(227, \cdot)\)$, \cdots ,$\(\chi_{3822}(2273, \cdot)\)
|
$3822$ |
$273$ |
$12$ |
12.0.369049655140530434165277.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 3822.bv |
\(\chi_{3822}(197, \cdot)\)$, \cdots ,$\(\chi_{3822}(3725, \cdot)\)
|
$3822$ |
$39$ |
$12$ |
\(\Q(\zeta_{39})^+\) |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 3822.bw |
\(\chi_{3822}(863, \cdot)\)$, \cdots ,$\(\chi_{3822}(3791, \cdot)\)
|
$3822$ |
$273$ |
$12$ |
12.12.44565832042087964517.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 3822.bx |
\(\chi_{3822}(557, \cdot)\)$, \cdots ,$\(\chi_{3822}(3803, \cdot)\)
|
$3822$ |
$273$ |
$12$ |
12.12.7531625615112866003373.2 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
