Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
280.a |
\(\chi_{280}(1, \cdot)\)
|
$280$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
280.b |
\(\chi_{280}(141, \cdot)\)
|
$280$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
280.c |
\(\chi_{280}(69, \cdot)\)
|
$280$ |
$280$ |
$2$ |
\(\Q(\sqrt{-70}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
280.d |
\(\chi_{280}(71, \cdot)\)
|
$280$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
|
280.e |
\(\chi_{280}(279, \cdot)\)
|
$280$ |
$140$ |
$2$ |
\(\Q(\sqrt{35}) \) |
\(\Q\) |
even |
✓ |
|
|
280.f |
\(\chi_{280}(41, \cdot)\)
|
$280$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
280.g |
\(\chi_{280}(169, \cdot)\)
|
$280$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
280.h |
\(\chi_{280}(251, \cdot)\)
|
$280$ |
$56$ |
$2$ |
\(\Q(\sqrt{14}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
280.i |
\(\chi_{280}(99, \cdot)\)
|
$280$ |
$40$ |
$2$ |
\(\Q(\sqrt{-10}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
280.j |
\(\chi_{280}(239, \cdot)\)
|
$280$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
|
280.k |
\(\chi_{280}(111, \cdot)\)
|
$280$ |
$28$ |
$2$ |
\(\Q(\sqrt{7}) \) |
\(\Q\) |
even |
✓ |
|
|
280.l |
\(\chi_{280}(29, \cdot)\)
|
$280$ |
$40$ |
$2$ |
\(\Q(\sqrt{10}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
280.m |
\(\chi_{280}(181, \cdot)\)
|
$280$ |
$56$ |
$2$ |
\(\Q(\sqrt{-14}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
280.n |
\(\chi_{280}(139, \cdot)\)
|
$280$ |
$280$ |
$2$ |
\(\Q(\sqrt{70}) \) |
\(\Q\) |
even |
✓ |
✓ |
✓ |
280.o |
\(\chi_{280}(211, \cdot)\)
|
$280$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
280.p |
\(\chi_{280}(209, \cdot)\)
|
$280$ |
$35$ |
$2$ |
\(\Q(\sqrt{-35}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
280.q |
\(\chi_{280}(81, \cdot)\)$,$ \(\chi_{280}(121, \cdot)\)
|
$280$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
280.r |
\(\chi_{280}(167, \cdot)\)$,$ \(\chi_{280}(223, \cdot)\)
|
$280$ |
$140$ |
$4$ |
4.0.98000.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
280.s |
\(\chi_{280}(13, \cdot)\)$,$ \(\chi_{280}(237, \cdot)\)
|
$280$ |
$280$ |
$4$ |
4.4.392000.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
280.t |
\(\chi_{280}(127, \cdot)\)$,$ \(\chi_{280}(183, \cdot)\)
|
$280$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
280.u |
\(\chi_{280}(197, \cdot)\)$,$ \(\chi_{280}(253, \cdot)\)
|
$280$ |
$40$ |
$4$ |
4.0.8000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
280.v |
\(\chi_{280}(57, \cdot)\)$,$ \(\chi_{280}(113, \cdot)\)
|
$280$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
280.w |
\(\chi_{280}(43, \cdot)\)$,$ \(\chi_{280}(267, \cdot)\)
|
$280$ |
$40$ |
$4$ |
4.4.8000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
280.x |
\(\chi_{280}(97, \cdot)\)$,$ \(\chi_{280}(153, \cdot)\)
|
$280$ |
$35$ |
$4$ |
4.4.6125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
280.y |
\(\chi_{280}(27, \cdot)\)$,$ \(\chi_{280}(83, \cdot)\)
|
$280$ |
$280$ |
$4$ |
4.0.392000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
280.z |
\(\chi_{280}(11, \cdot)\)$,$ \(\chi_{280}(51, \cdot)\)
|
$280$ |
$56$ |
$6$ |
6.0.1229312.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
280.ba |
\(\chi_{280}(19, \cdot)\)$,$ \(\chi_{280}(59, \cdot)\)
|
$280$ |
$280$ |
$6$ |
6.6.1075648000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
280.bb |
\(\chi_{280}(89, \cdot)\)$,$ \(\chi_{280}(129, \cdot)\)
|
$280$ |
$35$ |
$6$ |
6.0.2100875.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
280.bc |
\(\chi_{280}(31, \cdot)\)$,$ \(\chi_{280}(271, \cdot)\)
|
$280$ |
$28$ |
$6$ |
\(\Q(\zeta_{28})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
280.bd |
\(\chi_{280}(39, \cdot)\)$,$ \(\chi_{280}(79, \cdot)\)
|
$280$ |
$140$ |
$6$ |
6.0.19208000.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
280.be |
\(\chi_{280}(61, \cdot)\)$,$ \(\chi_{280}(101, \cdot)\)
|
$280$ |
$56$ |
$6$ |
6.0.8605184.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
280.bf |
\(\chi_{280}(109, \cdot)\)$,$ \(\chi_{280}(149, \cdot)\)
|
$280$ |
$280$ |
$6$ |
6.6.153664000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
✓ |
✓ |
280.bg |
\(\chi_{280}(9, \cdot)\)$,$ \(\chi_{280}(249, \cdot)\)
|
$280$ |
$35$ |
$6$ |
6.6.300125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
280.bh |
\(\chi_{280}(201, \cdot)\)$,$ \(\chi_{280}(241, \cdot)\)
|
$280$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
280.bi |
\(\chi_{280}(179, \cdot)\)$,$ \(\chi_{280}(219, \cdot)\)
|
$280$ |
$280$ |
$6$ |
6.0.153664000.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
280.bj |
\(\chi_{280}(131, \cdot)\)$,$ \(\chi_{280}(171, \cdot)\)
|
$280$ |
$56$ |
$6$ |
6.6.8605184.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
280.bk |
\(\chi_{280}(229, \cdot)\)$,$ \(\chi_{280}(269, \cdot)\)
|
$280$ |
$280$ |
$6$ |
6.0.1075648000.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
280.bl |
\(\chi_{280}(221, \cdot)\)$,$ \(\chi_{280}(261, \cdot)\)
|
$280$ |
$56$ |
$6$ |
6.6.1229312.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
280.bm |
\(\chi_{280}(159, \cdot)\)$,$ \(\chi_{280}(199, \cdot)\)
|
$280$ |
$140$ |
$6$ |
6.6.134456000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
280.bn |
\(\chi_{280}(151, \cdot)\)$,$ \(\chi_{280}(191, \cdot)\)
|
$280$ |
$28$ |
$6$ |
6.0.153664.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
280.bo |
\(\chi_{280}(17, \cdot)\)$, \cdots ,$\(\chi_{280}(257, \cdot)\)
|
$280$ |
$35$ |
$12$ |
\(\Q(\zeta_{35})^+\) |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
280.bp |
\(\chi_{280}(3, \cdot)\)$, \cdots ,$\(\chi_{280}(243, \cdot)\)
|
$280$ |
$280$ |
$12$ |
12.0.144627327488000000000.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
280.bq |
\(\chi_{280}(137, \cdot)\)$, \cdots ,$\(\chi_{280}(233, \cdot)\)
|
$280$ |
$35$ |
$12$ |
12.0.11259376953125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
280.br |
\(\chi_{280}(67, \cdot)\)$, \cdots ,$\(\chi_{280}(163, \cdot)\)
|
$280$ |
$280$ |
$12$ |
12.12.2951578112000000000.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
280.bs |
\(\chi_{280}(23, \cdot)\)$, \cdots ,$\(\chi_{280}(263, \cdot)\)
|
$280$ |
$140$ |
$12$ |
12.12.46118408000000000.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
280.bt |
\(\chi_{280}(37, \cdot)\)$, \cdots ,$\(\chi_{280}(277, \cdot)\)
|
$280$ |
$280$ |
$12$ |
12.0.2951578112000000000.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
280.bu |
\(\chi_{280}(47, \cdot)\)$, \cdots ,$\(\chi_{280}(143, \cdot)\)
|
$280$ |
$140$ |
$12$ |
12.0.2259801992000000000.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
280.bv |
\(\chi_{280}(117, \cdot)\)$, \cdots ,$\(\chi_{280}(213, \cdot)\)
|
$280$ |
$280$ |
$12$ |
12.12.144627327488000000000.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |