| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 2800.a |
\(\chi_{2800}(1, \cdot)\)
|
$2800$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
|
| 2800.b |
\(\chi_{2800}(1401, \cdot)\)
|
$2800$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
|
| 2800.c |
\(\chi_{2800}(1049, \cdot)\)
|
$2800$ |
$280$ |
$2$ |
\(\Q(\sqrt{-70}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 2800.d |
\(\chi_{2800}(351, \cdot)\)
|
$2800$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 2800.e |
\(\chi_{2800}(2799, \cdot)\)
|
$2800$ |
$140$ |
$2$ |
\(\Q(\sqrt{35}) \) |
\(\Q\) |
even |
✓ |
|
|
| 2800.f |
\(\chi_{2800}(2001, \cdot)\)
|
$2800$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 2800.g |
\(\chi_{2800}(449, \cdot)\)
|
$2800$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
| 2800.h |
\(\chi_{2800}(951, \cdot)\)
|
$2800$ |
$56$ |
$2$ |
\(\Q(\sqrt{14}) \) |
\(\Q\) |
even |
✓ |
|
|
| 2800.i |
\(\chi_{2800}(2199, \cdot)\)
|
$2800$ |
$40$ |
$2$ |
\(\Q(\sqrt{-10}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 2800.j |
\(\chi_{2800}(799, \cdot)\)
|
$2800$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 2800.k |
\(\chi_{2800}(2351, \cdot)\)
|
$2800$ |
$28$ |
$2$ |
\(\Q(\sqrt{7}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 2800.l |
\(\chi_{2800}(1849, \cdot)\)
|
$2800$ |
$40$ |
$2$ |
\(\Q(\sqrt{10}) \) |
\(\Q\) |
even |
✓ |
|
|
| 2800.m |
\(\chi_{2800}(601, \cdot)\)
|
$2800$ |
$56$ |
$2$ |
\(\Q(\sqrt{-14}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 2800.n |
\(\chi_{2800}(1399, \cdot)\)
|
$2800$ |
$280$ |
$2$ |
\(\Q(\sqrt{70}) \) |
\(\Q\) |
even |
✓ |
|
|
| 2800.o |
\(\chi_{2800}(1751, \cdot)\)
|
$2800$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 2800.p |
\(\chi_{2800}(2449, \cdot)\)
|
$2800$ |
$35$ |
$2$ |
\(\Q(\sqrt{-35}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 2800.q |
\(\chi_{2800}(401, \cdot)\)$,$ \(\chi_{2800}(1201, \cdot)\)
|
$2800$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 2800.r |
\(\chi_{2800}(293, \cdot)\)$,$ \(\chi_{2800}(1357, \cdot)\)
|
$2800$ |
$560$ |
$4$ |
4.4.12544000.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2800.s |
\(\chi_{2800}(757, \cdot)\)$,$ \(\chi_{2800}(2493, \cdot)\)
|
$2800$ |
$80$ |
$4$ |
4.0.256000.4 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 2800.t |
\(\chi_{2800}(43, \cdot)\)$,$ \(\chi_{2800}(1107, \cdot)\)
|
$2800$ |
$80$ |
$4$ |
4.4.256000.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2800.u |
\(\chi_{2800}(643, \cdot)\)$,$ \(\chi_{2800}(1707, \cdot)\)
|
$2800$ |
$560$ |
$4$ |
4.0.12544000.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 2800.v |
\(\chi_{2800}(1007, \cdot)\)$,$ \(\chi_{2800}(1343, \cdot)\)
|
$2800$ |
$140$ |
$4$ |
4.0.98000.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 2800.w |
\(\chi_{2800}(2057, \cdot)\)$,$ \(\chi_{2800}(2393, \cdot)\)
|
$2800$ |
$280$ |
$4$ |
4.4.392000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 2800.x |
\(\chi_{2800}(1807, \cdot)\)$,$ \(\chi_{2800}(2143, \cdot)\)
|
$2800$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2800.y |
\(\chi_{2800}(57, \cdot)\)$,$ \(\chi_{2800}(393, \cdot)\)
|
$2800$ |
$40$ |
$4$ |
4.0.8000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 2800.z |
\(\chi_{2800}(1301, \cdot)\)$,$ \(\chi_{2800}(2701, \cdot)\)
|
$2800$ |
$112$ |
$4$ |
4.0.100352.5 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 2800.ba |
\(\chi_{2800}(99, \cdot)\)$,$ \(\chi_{2800}(1499, \cdot)\)
|
$2800$ |
$80$ |
$4$ |
4.0.51200.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 2800.bb |
\(\chi_{2800}(1149, \cdot)\)$,$ \(\chi_{2800}(2549, \cdot)\)
|
$2800$ |
$80$ |
$4$ |
4.4.51200.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 2800.bc |
\(\chi_{2800}(251, \cdot)\)$,$ \(\chi_{2800}(1651, \cdot)\)
|
$2800$ |
$112$ |
$4$ |
4.4.100352.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2800.bd |
\(\chi_{2800}(701, \cdot)\)$,$ \(\chi_{2800}(2101, \cdot)\)
|
$2800$ |
$16$ |
$4$ |
\(\Q(\zeta_{16})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2800.be |
\(\chi_{2800}(699, \cdot)\)$,$ \(\chi_{2800}(2099, \cdot)\)
|
$2800$ |
$560$ |
$4$ |
4.4.2508800.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 2800.bf |
\(\chi_{2800}(349, \cdot)\)$,$ \(\chi_{2800}(1749, \cdot)\)
|
$2800$ |
$560$ |
$4$ |
4.0.2508800.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 2800.bg |
\(\chi_{2800}(1051, \cdot)\)$,$ \(\chi_{2800}(2451, \cdot)\)
|
$2800$ |
$16$ |
$4$ |
4.0.2048.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 2800.bh |
\(\chi_{2800}(1457, \cdot)\)$,$ \(\chi_{2800}(1793, \cdot)\)
|
$2800$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 2800.bi |
\(\chi_{2800}(407, \cdot)\)$,$ \(\chi_{2800}(743, \cdot)\)
|
$2800$ |
$40$ |
$4$ |
4.4.8000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 2800.bj |
\(\chi_{2800}(657, \cdot)\)$,$ \(\chi_{2800}(993, \cdot)\)
|
$2800$ |
$35$ |
$4$ |
4.4.6125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 2800.bk |
\(\chi_{2800}(2407, \cdot)\)$,$ \(\chi_{2800}(2743, \cdot)\)
|
$2800$ |
$280$ |
$4$ |
4.0.392000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 2800.bl |
\(\chi_{2800}(1443, \cdot)\)$,$ \(\chi_{2800}(2507, \cdot)\)
|
$2800$ |
$80$ |
$4$ |
4.4.256000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2800.bm |
\(\chi_{2800}(307, \cdot)\)$,$ \(\chi_{2800}(2043, \cdot)\)
|
$2800$ |
$560$ |
$4$ |
4.0.12544000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 2800.bn |
\(\chi_{2800}(1693, \cdot)\)$,$ \(\chi_{2800}(2757, \cdot)\)
|
$2800$ |
$560$ |
$4$ |
4.4.12544000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 2800.bo |
\(\chi_{2800}(1093, \cdot)\)$,$ \(\chi_{2800}(2157, \cdot)\)
|
$2800$ |
$80$ |
$4$ |
4.0.256000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 2800.bp |
\(\chi_{2800}(561, \cdot)\)$, \cdots ,$\(\chi_{2800}(2241, \cdot)\)
|
$2800$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 2800.bq |
\(\chi_{2800}(151, \cdot)\)$,$ \(\chi_{2800}(2151, \cdot)\)
|
$2800$ |
$56$ |
$6$ |
6.0.1229312.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 2800.br |
\(\chi_{2800}(199, \cdot)\)$,$ \(\chi_{2800}(999, \cdot)\)
|
$2800$ |
$280$ |
$6$ |
6.6.1075648000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 2800.bs |
\(\chi_{2800}(1249, \cdot)\)$,$ \(\chi_{2800}(2049, \cdot)\)
|
$2800$ |
$35$ |
$6$ |
6.0.2100875.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 2800.bt |
\(\chi_{2800}(1151, \cdot)\)$,$ \(\chi_{2800}(1951, \cdot)\)
|
$2800$ |
$28$ |
$6$ |
\(\Q(\zeta_{28})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 2800.bu |
\(\chi_{2800}(1199, \cdot)\)$,$ \(\chi_{2800}(1999, \cdot)\)
|
$2800$ |
$140$ |
$6$ |
6.0.19208000.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 2800.bv |
\(\chi_{2800}(201, \cdot)\)$,$ \(\chi_{2800}(2201, \cdot)\)
|
$2800$ |
$56$ |
$6$ |
6.0.8605184.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 2800.bw |
\(\chi_{2800}(249, \cdot)\)$,$ \(\chi_{2800}(2249, \cdot)\)
|
$2800$ |
$280$ |
$6$ |
6.6.153664000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 2800.bx |
\(\chi_{2800}(849, \cdot)\)$,$ \(\chi_{2800}(1649, \cdot)\)
|
$2800$ |
$35$ |
$6$ |
6.6.300125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
