| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 8788.a |
\(\chi_{8788}(1, \cdot)\)
|
$8788$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 8788.b |
\(\chi_{8788}(8787, \cdot)\)
|
$8788$ |
$52$ |
$2$ |
\(\Q(\sqrt{-13}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 8788.c |
\(\chi_{8788}(4395, \cdot)\)
|
$8788$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 8788.d |
\(\chi_{8788}(4393, \cdot)\)
|
$8788$ |
$13$ |
$2$ |
\(\Q(\sqrt{13}) \) |
\(\Q\) |
even |
✓ |
|
|
| 8788.e |
\(\chi_{8788}(3233, \cdot)\)$,$ \(\chi_{8788}(3357, \cdot)\)
|
$8788$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 8788.f |
\(\chi_{8788}(239, \cdot)\)$,$ \(\chi_{8788}(4155, \cdot)\)
|
$8788$ |
$52$ |
$4$ |
4.4.35152.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 8788.g |
\(\chi_{8788}(4633, \cdot)\)$,$ \(\chi_{8788}(8549, \cdot)\)
|
$8788$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 8788.h |
\(\chi_{8788}(1037, \cdot)\)$,$ \(\chi_{8788}(1161, \cdot)\)
|
$8788$ |
$13$ |
$6$ |
\(\Q(\zeta_{13})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 8788.i |
\(\chi_{8788}(5431, \cdot)\)$,$ \(\chi_{8788}(5555, \cdot)\)
|
$8788$ |
$52$ |
$6$ |
6.0.23762752.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 8788.j |
\(\chi_{8788}(7627, \cdot)\)$,$ \(\chi_{8788}(7751, \cdot)\)
|
$8788$ |
$52$ |
$6$ |
6.0.1827904.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 8788.k |
\(\chi_{8788}(657, \cdot)\)$, \cdots ,$\(\chi_{8788}(7009, \cdot)\)
|
$8788$ |
$13$ |
$12$ |
\(\Q(\zeta_{13})\) |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 8788.l |
\(\chi_{8788}(1779, \cdot)\)$, \cdots ,$\(\chi_{8788}(8131, \cdot)\)
|
$8788$ |
$52$ |
$12$ |
\(\Q(\zeta_{52})^+\) |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 8788.m |
\(\chi_{8788}(677, \cdot)\)$, \cdots ,$\(\chi_{8788}(8113, \cdot)\)
|
$8788$ |
$169$ |
$13$ |
not computed |
\(\Q(\zeta_{13})\) |
even |
|
|
|
| 8788.n |
\(\chi_{8788}(337, \cdot)\)$, \cdots ,$\(\chi_{8788}(8449, \cdot)\)
|
$8788$ |
$169$ |
$26$ |
not computed |
\(\Q(\zeta_{13})\) |
even |
|
|
|
| 8788.o |
\(\chi_{8788}(339, \cdot)\)$, \cdots ,$\(\chi_{8788}(8451, \cdot)\)
|
$8788$ |
$676$ |
$26$ |
not computed |
\(\Q(\zeta_{13})\) |
odd |
|
|
|
| 8788.p |
\(\chi_{8788}(675, \cdot)\)$, \cdots ,$\(\chi_{8788}(8111, \cdot)\)
|
$8788$ |
$676$ |
$26$ |
not computed |
\(\Q(\zeta_{13})\) |
odd |
|
|
|
| 8788.q |
\(\chi_{8788}(529, \cdot)\)$, \cdots ,$\(\chi_{8788}(8765, \cdot)\)
|
$8788$ |
$169$ |
$39$ |
not computed |
$\Q(\zeta_{39})$ |
even |
|
|
|
| 8788.r |
\(\chi_{8788}(437, \cdot)\)$, \cdots ,$\(\chi_{8788}(8689, \cdot)\)
|
$8788$ |
$169$ |
$52$ |
not computed |
$\Q(\zeta_{52})$ |
odd |
|
|
|
| 8788.s |
\(\chi_{8788}(99, \cdot)\)$, \cdots ,$\(\chi_{8788}(8351, \cdot)\)
|
$8788$ |
$676$ |
$52$ |
not computed |
$\Q(\zeta_{52})$ |
even |
|
|
|
| 8788.t |
\(\chi_{8788}(191, \cdot)\)$, \cdots ,$\(\chi_{8788}(8427, \cdot)\)
|
$8788$ |
$676$ |
$78$ |
not computed |
$\Q(\zeta_{39})$ |
odd |
|
|
|
| 8788.u |
\(\chi_{8788}(23, \cdot)\)$, \cdots ,$\(\chi_{8788}(8259, \cdot)\)
|
$8788$ |
$676$ |
$78$ |
not computed |
$\Q(\zeta_{39})$ |
odd |
|
|
|
| 8788.v |
\(\chi_{8788}(361, \cdot)\)$, \cdots ,$\(\chi_{8788}(8597, \cdot)\)
|
$8788$ |
$169$ |
$78$ |
not computed |
$\Q(\zeta_{39})$ |
even |
|
|
|
| 8788.w |
\(\chi_{8788}(19, \cdot)\)$, \cdots ,$\(\chi_{8788}(8699, \cdot)\)
|
$8788$ |
$676$ |
$156$ |
not computed |
$\Q(\zeta_{156})$ |
even |
|
|
|
| 8788.x |
\(\chi_{8788}(89, \cdot)\)$, \cdots ,$\(\chi_{8788}(8769, \cdot)\)
|
$8788$ |
$169$ |
$156$ |
not computed |
$\Q(\zeta_{156})$ |
odd |
|
|
|
| 8788.y |
\(\chi_{8788}(53, \cdot)\)$, \cdots ,$\(\chi_{8788}(8737, \cdot)\)
|
$8788$ |
$2197$ |
$169$ |
not computed |
$\Q(\zeta_{169})$ |
even |
|
|
✓ |
| 8788.z |
\(\chi_{8788}(51, \cdot)\)$, \cdots ,$\(\chi_{8788}(8735, \cdot)\)
|
$8788$ |
$8788$ |
$338$ |
not computed |
$\Q(\zeta_{169})$ |
odd |
|
✓ |
✓ |
| 8788.ba |
\(\chi_{8788}(25, \cdot)\)$, \cdots ,$\(\chi_{8788}(8761, \cdot)\)
|
$8788$ |
$2197$ |
$338$ |
not computed |
$\Q(\zeta_{169})$ |
even |
|
|
✓ |
| 8788.bb |
\(\chi_{8788}(27, \cdot)\)$, \cdots ,$\(\chi_{8788}(8763, \cdot)\)
|
$8788$ |
$8788$ |
$338$ |
not computed |
$\Q(\zeta_{169})$ |
odd |
|
✓ |
✓ |
| 8788.bc |
\(\chi_{8788}(9, \cdot)\)$, \cdots ,$\(\chi_{8788}(8745, \cdot)\)
|
$8788$ |
$2197$ |
$507$ |
not computed |
$\Q(\zeta_{507})$ |
even |
|
|
✓ |
| 8788.bd |
\(\chi_{8788}(31, \cdot)\)$, \cdots ,$\(\chi_{8788}(8783, \cdot)\)
|
$8788$ |
$8788$ |
$676$ |
not computed |
$\Q(\zeta_{676})$ |
even |
|
✓ |
✓ |
| 8788.be |
\(\chi_{8788}(5, \cdot)\)$, \cdots ,$\(\chi_{8788}(8757, \cdot)\)
|
$8788$ |
$2197$ |
$676$ |
not computed |
$\Q(\zeta_{676})$ |
odd |
|
|
✓ |
| 8788.bf |
\(\chi_{8788}(3, \cdot)\)$, \cdots ,$\(\chi_{8788}(8771, \cdot)\)
|
$8788$ |
$8788$ |
$1014$ |
not computed |
$\Q(\zeta_{507})$ |
odd |
|
✓ |
✓ |
| 8788.bg |
\(\chi_{8788}(17, \cdot)\)$, \cdots ,$\(\chi_{8788}(8785, \cdot)\)
|
$8788$ |
$2197$ |
$1014$ |
not computed |
$\Q(\zeta_{507})$ |
even |
|
|
✓ |
| 8788.bh |
\(\chi_{8788}(43, \cdot)\)$, \cdots ,$\(\chi_{8788}(8779, \cdot)\)
|
$8788$ |
$8788$ |
$1014$ |
not computed |
$\Q(\zeta_{507})$ |
odd |
|
✓ |
✓ |
| 8788.bi |
\(\chi_{8788}(33, \cdot)\)$, \cdots ,$\(\chi_{8788}(8781, \cdot)\)
|
$8788$ |
$2197$ |
$2028$ |
not computed |
$\Q(\zeta_{2028})$ |
odd |
|
|
✓ |
| 8788.bj |
\(\chi_{8788}(7, \cdot)\)$, \cdots ,$\(\chi_{8788}(8755, \cdot)\)
|
$8788$ |
$8788$ |
$2028$ |
not computed |
$\Q(\zeta_{2028})$ |
even |
|
✓ |
✓ |
