| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 10008.a |
\(\chi_{10008}(1, \cdot)\)
|
$10008$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 10008.b |
\(\chi_{10008}(9451, \cdot)\)
|
$10008$ |
$1112$ |
$2$ |
\(\Q(\sqrt{278}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 10008.c |
\(\chi_{10008}(7507, \cdot)\)
|
$10008$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 10008.d |
\(\chi_{10008}(8063, \cdot)\)
|
$10008$ |
$12$ |
$2$ |
\(\Q(\sqrt{3}) \) |
\(\Q\) |
even |
✓ |
|
|
| 10008.e |
\(\chi_{10008}(10007, \cdot)\)
|
$10008$ |
$1668$ |
$2$ |
\(\Q(\sqrt{-417}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 10008.f |
\(\chi_{10008}(6949, \cdot)\)
|
$10008$ |
$1112$ |
$2$ |
\(\Q(\sqrt{-278}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 10008.g |
\(\chi_{10008}(5005, \cdot)\)
|
$10008$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 10008.h |
\(\chi_{10008}(5561, \cdot)\)
|
$10008$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 10008.i |
\(\chi_{10008}(7505, \cdot)\)
|
$10008$ |
$417$ |
$2$ |
\(\Q(\sqrt{417}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 10008.j |
\(\chi_{10008}(3059, \cdot)\)
|
$10008$ |
$24$ |
$2$ |
\(\Q(\sqrt{6}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 10008.k |
\(\chi_{10008}(5003, \cdot)\)
|
$10008$ |
$3336$ |
$2$ |
\(\Q(\sqrt{-834}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 10008.l |
\(\chi_{10008}(4447, \cdot)\)
|
$10008$ |
$556$ |
$2$ |
\(\Q(\sqrt{139}) \) |
\(\Q\) |
even |
✓ |
|
|
| 10008.m |
\(\chi_{10008}(2503, \cdot)\)
|
$10008$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 10008.n |
\(\chi_{10008}(557, \cdot)\)
|
$10008$ |
$24$ |
$2$ |
\(\Q(\sqrt{-6}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 10008.o |
\(\chi_{10008}(2501, \cdot)\)
|
$10008$ |
$3336$ |
$2$ |
\(\Q(\sqrt{834}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 10008.p |
\(\chi_{10008}(1945, \cdot)\)
|
$10008$ |
$139$ |
$2$ |
\(\Q(\sqrt{-139}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 10008.q |
\(\chi_{10008}(2737, \cdot)\)$,$ \(\chi_{10008}(5185, \cdot)\)
|
$10008$ |
$139$ |
$3$ |
3.3.19321.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 10008.r |
\(\chi_{10008}(3337, \cdot)\)$,$ \(\chi_{10008}(6673, \cdot)\)
|
$10008$ |
$9$ |
$3$ |
\(\Q(\zeta_{9})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 10008.s |
\(\chi_{10008}(8521, \cdot)\)$,$ \(\chi_{10008}(9409, \cdot)\)
|
$10008$ |
$1251$ |
$3$ |
3.3.1565001.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 10008.t |
\(\chi_{10008}(1849, \cdot)\)$,$ \(\chi_{10008}(6073, \cdot)\)
|
$10008$ |
$1251$ |
$3$ |
3.3.1565001.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 10008.u |
\(\chi_{10008}(1433, \cdot)\)$,$ \(\chi_{10008}(5657, \cdot)\)
|
$10008$ |
$1251$ |
$6$ |
6.6.1021328130210417.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 10008.v |
\(\chi_{10008}(4073, \cdot)\)$,$ \(\chi_{10008}(4961, \cdot)\)
|
$10008$ |
$1251$ |
$6$ |
6.0.7347684390003.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 10008.w |
\(\chi_{10008}(1069, \cdot)\)$,$ \(\chi_{10008}(6853, \cdot)\)
|
$10008$ |
$10008$ |
$6$ |
6.6.1254004802560512.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 10008.x |
\(\chi_{10008}(7549, \cdot)\)$,$ \(\chi_{10008}(8437, \cdot)\)
|
$10008$ |
$10008$ |
$6$ |
deg 6 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 10008.y |
\(\chi_{10008}(3935, \cdot)\)$,$ \(\chi_{10008}(8159, \cdot)\)
|
$10008$ |
$5004$ |
$6$ |
6.0.65365000333466688.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 10008.z |
\(\chi_{10008}(6575, \cdot)\)$,$ \(\chi_{10008}(7463, \cdot)\)
|
$10008$ |
$5004$ |
$6$ |
6.6.470251800960192.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 10008.ba |
\(\chi_{10008}(3571, \cdot)\)$,$ \(\chi_{10008}(9355, \cdot)\)
|
$10008$ |
$10008$ |
$6$ |
6.0.1254004802560512.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 10008.bb |
\(\chi_{10008}(43, \cdot)\)$,$ \(\chi_{10008}(931, \cdot)\)
|
$10008$ |
$10008$ |
$6$ |
deg 6 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 10008.bc |
\(\chi_{10008}(5603, \cdot)\)$,$ \(\chi_{10008}(6491, \cdot)\)
|
$10008$ |
$10008$ |
$6$ |
deg 6 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 10008.bd |
\(\chi_{10008}(4907, \cdot)\)$,$ \(\chi_{10008}(9131, \cdot)\)
|
$10008$ |
$10008$ |
$6$ |
6.6.3762014407681536.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 10008.be |
\(\chi_{10008}(1015, \cdot)\)$,$ \(\chi_{10008}(1903, \cdot)\)
|
$10008$ |
$5004$ |
$6$ |
6.0.156750600320064.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 10008.bf |
\(\chi_{10008}(2599, \cdot)\)$,$ \(\chi_{10008}(8383, \cdot)\)
|
$10008$ |
$5004$ |
$6$ |
deg 6 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 10008.bg |
\(\chi_{10008}(5281, \cdot)\)$,$ \(\chi_{10008}(8617, \cdot)\)
|
$10008$ |
$1251$ |
$6$ |
6.0.17620346259.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 10008.bh |
\(\chi_{10008}(6769, \cdot)\)$,$ \(\chi_{10008}(9217, \cdot)\)
|
$10008$ |
$139$ |
$6$ |
6.0.51888844699.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 10008.bi |
\(\chi_{10008}(3893, \cdot)\)$,$ \(\chi_{10008}(7229, \cdot)\)
|
$10008$ |
$72$ |
$6$ |
6.0.10077696.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 10008.bj |
\(\chi_{10008}(7325, \cdot)\)$,$ \(\chi_{10008}(9773, \cdot)\)
|
$10008$ |
$3336$ |
$6$ |
6.6.717311389118976.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 10008.bk |
\(\chi_{10008}(3293, \cdot)\)$,$ \(\chi_{10008}(5741, \cdot)\)
|
$10008$ |
$3336$ |
$6$ |
6.0.5160513590784.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 10008.bl |
\(\chi_{10008}(5837, \cdot)\)$,$ \(\chi_{10008}(9173, \cdot)\)
|
$10008$ |
$10008$ |
$6$ |
6.6.27064851853824.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 10008.bm |
\(\chi_{10008}(1111, \cdot)\)$,$ \(\chi_{10008}(7783, \cdot)\)
|
$10008$ |
$5004$ |
$6$ |
6.6.1127702160576.2 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 10008.bn |
\(\chi_{10008}(5239, \cdot)\)$,$ \(\chi_{10008}(7687, \cdot)\)
|
$10008$ |
$556$ |
$6$ |
6.0.23891266624.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 10008.bo |
\(\chi_{10008}(1711, \cdot)\)$,$ \(\chi_{10008}(9271, \cdot)\)
|
$10008$ |
$556$ |
$6$ |
6.6.3320886060736.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 10008.bp |
\(\chi_{10008}(5839, \cdot)\)$,$ \(\chi_{10008}(9175, \cdot)\)
|
$10008$ |
$36$ |
$6$ |
6.0.419904.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 10008.bq |
\(\chi_{10008}(6395, \cdot)\)$,$ \(\chi_{10008}(9731, \cdot)\)
|
$10008$ |
$72$ |
$6$ |
6.6.10077696.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 10008.br |
\(\chi_{10008}(2267, \cdot)\)$,$ \(\chi_{10008}(9827, \cdot)\)
|
$10008$ |
$3336$ |
$6$ |
6.0.717311389118976.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 10008.bs |
\(\chi_{10008}(5795, \cdot)\)$,$ \(\chi_{10008}(8243, \cdot)\)
|
$10008$ |
$3336$ |
$6$ |
6.6.5160513590784.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 10008.bt |
\(\chi_{10008}(1667, \cdot)\)$,$ \(\chi_{10008}(8339, \cdot)\)
|
$10008$ |
$10008$ |
$6$ |
6.0.27064851853824.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 10008.bu |
\(\chi_{10008}(3101, \cdot)\)$,$ \(\chi_{10008}(3989, \cdot)\)
|
$10008$ |
$10008$ |
$6$ |
deg 6 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
| 10008.bv |
\(\chi_{10008}(2405, \cdot)\)$,$ \(\chi_{10008}(6629, \cdot)\)
|
$10008$ |
$10008$ |
$6$ |
6.0.3762014407681536.2 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 10008.bw |
\(\chi_{10008}(97, \cdot)\)$,$ \(\chi_{10008}(5881, \cdot)\)
|
$10008$ |
$1251$ |
$6$ |
6.0.340442710070139.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 10008.bx |
\(\chi_{10008}(6019, \cdot)\)$,$ \(\chi_{10008}(6907, \cdot)\)
|
$10008$ |
$10008$ |
$6$ |
deg 6 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
