| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 7056.a |
\(\chi_{7056}(1, \cdot)\)
|
$7056$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
|
| 7056.b |
\(\chi_{7056}(1567, \cdot)\)
|
$7056$ |
$28$ |
$2$ |
\(\Q(\sqrt{7}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 7056.c |
\(\chi_{7056}(3529, \cdot)\)
|
$7056$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
|
| 7056.d |
\(\chi_{7056}(5489, \cdot)\)
|
$7056$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 7056.e |
\(\chi_{7056}(3527, \cdot)\)
|
$7056$ |
$168$ |
$2$ |
\(\Q(\sqrt{-42}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 7056.f |
\(\chi_{7056}(2449, \cdot)\)
|
$7056$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 7056.g |
\(\chi_{7056}(2647, \cdot)\)
|
$7056$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 7056.h |
\(\chi_{7056}(4607, \cdot)\)
|
$7056$ |
$12$ |
$2$ |
\(\Q(\sqrt{3}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 7056.i |
\(\chi_{7056}(4409, \cdot)\)
|
$7056$ |
$168$ |
$2$ |
\(\Q(\sqrt{42}) \) |
\(\Q\) |
even |
✓ |
|
|
| 7056.j |
\(\chi_{7056}(1079, \cdot)\)
|
$7056$ |
$24$ |
$2$ |
\(\Q(\sqrt{6}) \) |
\(\Q\) |
even |
✓ |
|
|
| 7056.k |
\(\chi_{7056}(881, \cdot)\)
|
$7056$ |
$21$ |
$2$ |
\(\Q(\sqrt{21}) \) |
\(\Q\) |
even |
✓ |
|
|
| 7056.l |
\(\chi_{7056}(5977, \cdot)\)
|
$7056$ |
$56$ |
$2$ |
\(\Q(\sqrt{-14}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 7056.m |
\(\chi_{7056}(6175, \cdot)\)
|
$7056$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 7056.n |
\(\chi_{7056}(1961, \cdot)\)
|
$7056$ |
$24$ |
$2$ |
\(\Q(\sqrt{-6}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 7056.o |
\(\chi_{7056}(7055, \cdot)\)
|
$7056$ |
$84$ |
$2$ |
\(\Q(\sqrt{-21}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 7056.p |
\(\chi_{7056}(5095, \cdot)\)
|
$7056$ |
$56$ |
$2$ |
\(\Q(\sqrt{14}) \) |
\(\Q\) |
even |
✓ |
|
|
| 7056.q |
\(\chi_{7056}(1537, \cdot)\)$,$ \(\chi_{7056}(5665, \cdot)\)
|
$7056$ |
$63$ |
$3$ |
3.3.3969.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.r |
\(\chi_{7056}(2353, \cdot)\)$,$ \(\chi_{7056}(4705, \cdot)\)
|
$7056$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.s |
\(\chi_{7056}(3313, \cdot)\)$,$ \(\chi_{7056}(3889, \cdot)\)
|
$7056$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.t |
\(\chi_{7056}(961, \cdot)\)$,$ \(\chi_{7056}(6241, \cdot)\)
|
$7056$ |
$63$ |
$3$ |
3.3.3969.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.u |
\(\chi_{7056}(685, \cdot)\)$,$ \(\chi_{7056}(4213, \cdot)\)
|
$7056$ |
$112$ |
$4$ |
4.0.100352.5 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 7056.v |
\(\chi_{7056}(2843, \cdot)\)$,$ \(\chi_{7056}(6371, \cdot)\)
|
$7056$ |
$48$ |
$4$ |
4.4.18432.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 7056.w |
\(\chi_{7056}(197, \cdot)\)$,$ \(\chi_{7056}(3725, \cdot)\)
|
$7056$ |
$48$ |
$4$ |
4.0.18432.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 7056.x |
\(\chi_{7056}(3331, \cdot)\)$,$ \(\chi_{7056}(6859, \cdot)\)
|
$7056$ |
$112$ |
$4$ |
4.4.100352.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 7056.y |
\(\chi_{7056}(1763, \cdot)\)$,$ \(\chi_{7056}(5291, \cdot)\)
|
$7056$ |
$336$ |
$4$ |
4.0.903168.5 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 7056.z |
\(\chi_{7056}(1765, \cdot)\)$,$ \(\chi_{7056}(5293, \cdot)\)
|
$7056$ |
$16$ |
$4$ |
\(\Q(\zeta_{16})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 7056.ba |
\(\chi_{7056}(883, \cdot)\)$,$ \(\chi_{7056}(4411, \cdot)\)
|
$7056$ |
$16$ |
$4$ |
4.0.2048.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 7056.bb |
\(\chi_{7056}(2645, \cdot)\)$,$ \(\chi_{7056}(6173, \cdot)\)
|
$7056$ |
$336$ |
$4$ |
4.4.903168.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 7056.bc |
\(\chi_{7056}(2567, \cdot)\)$,$ \(\chi_{7056}(4343, \cdot)\)
|
$7056$ |
$504$ |
$6$ |
6.0.169375836672.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 7056.bd |
\(\chi_{7056}(4097, \cdot)\)$,$ \(\chi_{7056}(7025, \cdot)\)
|
$7056$ |
$63$ |
$6$ |
6.0.47258883.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 7056.be |
\(\chi_{7056}(2713, \cdot)\)$,$ \(\chi_{7056}(4489, \cdot)\)
|
$7056$ |
$504$ |
$6$ |
6.6.8065516032.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.bf |
\(\chi_{7056}(31, \cdot)\)$,$ \(\chi_{7056}(2959, \cdot)\)
|
$7056$ |
$252$ |
$6$ |
6.6.7057326528.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.bg |
\(\chi_{7056}(3449, \cdot)\)$,$ \(\chi_{7056}(5225, \cdot)\)
|
$7056$ |
$504$ |
$6$ |
6.6.169375836672.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.bh |
\(\chi_{7056}(3215, \cdot)\)$,$ \(\chi_{7056}(6143, \cdot)\)
|
$7056$ |
$252$ |
$6$ |
6.6.3024568512.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.bi |
\(\chi_{7056}(1831, \cdot)\)$,$ \(\chi_{7056}(3607, \cdot)\)
|
$7056$ |
$504$ |
$6$ |
6.0.8065516032.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 7056.bj |
\(\chi_{7056}(913, \cdot)\)$,$ \(\chi_{7056}(3841, \cdot)\)
|
$7056$ |
$63$ |
$6$ |
6.0.110270727.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 7056.bk |
\(\chi_{7056}(3167, \cdot)\)$,$ \(\chi_{7056}(3743, \cdot)\)
|
$7056$ |
$84$ |
$6$ |
6.0.29042496.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 7056.bl |
\(\chi_{7056}(5273, \cdot)\)$,$ \(\chi_{7056}(5849, \cdot)\)
|
$7056$ |
$168$ |
$6$ |
6.0.33191424.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 7056.bm |
\(\chi_{7056}(391, \cdot)\)$,$ \(\chi_{7056}(2743, \cdot)\)
|
$7056$ |
$504$ |
$6$ |
6.6.1152216576.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.bn |
\(\chi_{7056}(4135, \cdot)\)$,$ \(\chi_{7056}(5911, \cdot)\)
|
$7056$ |
$504$ |
$6$ |
6.6.56458612224.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.bo |
\(\chi_{7056}(4313, \cdot)\)$,$ \(\chi_{7056}(6665, \cdot)\)
|
$7056$ |
$72$ |
$6$ |
6.0.10077696.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 7056.bp |
\(\chi_{7056}(1391, \cdot)\)$,$ \(\chi_{7056}(5519, \cdot)\)
|
$7056$ |
$252$ |
$6$ |
6.0.21171979584.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 7056.bq |
\(\chi_{7056}(1145, \cdot)\)$,$ \(\chi_{7056}(2921, \cdot)\)
|
$7056$ |
$504$ |
$6$ |
6.0.24196548096.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 7056.br |
\(\chi_{7056}(2351, \cdot)\)$,$ \(\chi_{7056}(4703, \cdot)\)
|
$7056$ |
$252$ |
$6$ |
6.0.432081216.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 7056.bs |
\(\chi_{7056}(1207, \cdot)\)$,$ \(\chi_{7056}(1783, \cdot)\)
|
$7056$ |
$56$ |
$6$ |
6.6.8605184.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.bt |
\(\chi_{7056}(4049, \cdot)\)$,$ \(\chi_{7056}(4625, \cdot)\)
|
$7056$ |
$21$ |
$6$ |
\(\Q(\zeta_{21})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.bu |
\(\chi_{7056}(4391, \cdot)\)$,$ \(\chi_{7056}(4967, \cdot)\)
|
$7056$ |
$168$ |
$6$ |
6.6.33191424.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 7056.bv |
\(\chi_{7056}(1273, \cdot)\)$,$ \(\chi_{7056}(3625, \cdot)\)
|
$7056$ |
$504$ |
$6$ |
6.0.1152216576.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 7056.bw |
\(\chi_{7056}(655, \cdot)\)$,$ \(\chi_{7056}(4783, \cdot)\)
|
$7056$ |
$252$ |
$6$ |
6.0.1008189504.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 7056.bx |
\(\chi_{7056}(5017, \cdot)\)$,$ \(\chi_{7056}(6793, \cdot)\)
|
$7056$ |
$504$ |
$6$ |
6.0.56458612224.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
