Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
1280.a |
\(\chi_{1280}(1, \cdot)\)
|
$1280$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
|
1280.b |
\(\chi_{1280}(511, \cdot)\)
|
$1280$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
|
1280.c |
\(\chi_{1280}(769, \cdot)\)
|
$1280$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
1280.d |
\(\chi_{1280}(641, \cdot)\)
|
$1280$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
|
1280.e |
\(\chi_{1280}(639, \cdot)\)
|
$1280$ |
$40$ |
$2$ |
\(\Q(\sqrt{-10}) \) |
\(\Q\) |
odd |
✓ |
|
|
1280.f |
\(\chi_{1280}(129, \cdot)\)
|
$1280$ |
$40$ |
$2$ |
\(\Q(\sqrt{10}) \) |
\(\Q\) |
even |
✓ |
|
|
1280.g |
\(\chi_{1280}(1151, \cdot)\)
|
$1280$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
|
1280.h |
\(\chi_{1280}(1279, \cdot)\)
|
$1280$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
|
1280.i |
\(\chi_{1280}(833, \cdot)\)$,$ \(\chi_{1280}(1217, \cdot)\)
|
$1280$ |
$80$ |
$4$ |
4.0.256000.4 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1280.j |
\(\chi_{1280}(63, \cdot)\)$,$ \(\chi_{1280}(447, \cdot)\)
|
$1280$ |
$80$ |
$4$ |
4.4.256000.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1280.k |
\(\chi_{1280}(319, \cdot)\)$,$ \(\chi_{1280}(959, \cdot)\)
|
$1280$ |
$80$ |
$4$ |
4.0.51200.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1280.l |
\(\chi_{1280}(321, \cdot)\)$,$ \(\chi_{1280}(961, \cdot)\)
|
$1280$ |
$16$ |
$4$ |
\(\Q(\zeta_{16})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1280.m |
\(\chi_{1280}(897, \cdot)\)$,$ \(\chi_{1280}(1153, \cdot)\)
|
$1280$ |
$40$ |
$4$ |
4.0.8000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
1280.n |
\(\chi_{1280}(767, \cdot)\)$,$ \(\chi_{1280}(1023, \cdot)\)
|
$1280$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
1280.o |
\(\chi_{1280}(127, \cdot)\)$,$ \(\chi_{1280}(383, \cdot)\)
|
$1280$ |
$40$ |
$4$ |
4.4.8000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
1280.p |
\(\chi_{1280}(257, \cdot)\)$,$ \(\chi_{1280}(513, \cdot)\)
|
$1280$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
1280.q |
\(\chi_{1280}(449, \cdot)\)$,$ \(\chi_{1280}(1089, \cdot)\)
|
$1280$ |
$80$ |
$4$ |
4.4.51200.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1280.r |
\(\chi_{1280}(191, \cdot)\)$,$ \(\chi_{1280}(831, \cdot)\)
|
$1280$ |
$16$ |
$4$ |
4.0.2048.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1280.s |
\(\chi_{1280}(703, \cdot)\)$,$ \(\chi_{1280}(1087, \cdot)\)
|
$1280$ |
$80$ |
$4$ |
4.4.256000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
1280.t |
\(\chi_{1280}(193, \cdot)\)$,$ \(\chi_{1280}(577, \cdot)\)
|
$1280$ |
$80$ |
$4$ |
4.0.256000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
1280.u |
\(\chi_{1280}(543, \cdot)\)$, \cdots ,$\(\chi_{1280}(1247, \cdot)\)
|
$1280$ |
$160$ |
$8$ |
8.8.33554432000000.2 |
\(\Q(\zeta_{8})\) |
even |
|
|
|
1280.v |
\(\chi_{1280}(33, \cdot)\)$, \cdots ,$\(\chi_{1280}(737, \cdot)\)
|
$1280$ |
$160$ |
$8$ |
8.0.33554432000000.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
1280.w |
\(\chi_{1280}(31, \cdot)\)$, \cdots ,$\(\chi_{1280}(991, \cdot)\)
|
$1280$ |
$32$ |
$8$ |
8.0.2147483648.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
1280.x |
\(\chi_{1280}(161, \cdot)\)$, \cdots ,$\(\chi_{1280}(1121, \cdot)\)
|
$1280$ |
$32$ |
$8$ |
\(\Q(\zeta_{32})^+\) |
\(\Q(\zeta_{8})\) |
even |
|
|
|
1280.y |
\(\chi_{1280}(159, \cdot)\)$, \cdots ,$\(\chi_{1280}(1119, \cdot)\)
|
$1280$ |
$160$ |
$8$ |
8.0.1342177280000.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
1280.z |
\(\chi_{1280}(289, \cdot)\)$, \cdots ,$\(\chi_{1280}(1249, \cdot)\)
|
$1280$ |
$160$ |
$8$ |
8.8.1342177280000.1 |
\(\Q(\zeta_{8})\) |
even |
|
|
|
1280.ba |
\(\chi_{1280}(223, \cdot)\)$, \cdots ,$\(\chi_{1280}(927, \cdot)\)
|
$1280$ |
$160$ |
$8$ |
8.8.33554432000000.1 |
\(\Q(\zeta_{8})\) |
even |
|
|
|
1280.bb |
\(\chi_{1280}(353, \cdot)\)$, \cdots ,$\(\chi_{1280}(1057, \cdot)\)
|
$1280$ |
$160$ |
$8$ |
8.0.33554432000000.2 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
1280.bc |
\(\chi_{1280}(17, \cdot)\)$, \cdots ,$\(\chi_{1280}(1073, \cdot)\)
|
$1280$ |
$320$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
|
1280.bd |
\(\chi_{1280}(47, \cdot)\)$, \cdots ,$\(\chi_{1280}(1103, \cdot)\)
|
$1280$ |
$320$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
|
1280.be |
\(\chi_{1280}(81, \cdot)\)$, \cdots ,$\(\chi_{1280}(1201, \cdot)\)
|
$1280$ |
$64$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
|
1280.bf |
\(\chi_{1280}(49, \cdot)\)$, \cdots ,$\(\chi_{1280}(1169, \cdot)\)
|
$1280$ |
$320$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
|
1280.bg |
\(\chi_{1280}(111, \cdot)\)$, \cdots ,$\(\chi_{1280}(1231, \cdot)\)
|
$1280$ |
$64$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
|
1280.bh |
\(\chi_{1280}(79, \cdot)\)$, \cdots ,$\(\chi_{1280}(1199, \cdot)\)
|
$1280$ |
$320$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
|
1280.bi |
\(\chi_{1280}(177, \cdot)\)$, \cdots ,$\(\chi_{1280}(1233, \cdot)\)
|
$1280$ |
$320$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
odd |
|
|
|
1280.bj |
\(\chi_{1280}(207, \cdot)\)$, \cdots ,$\(\chi_{1280}(1263, \cdot)\)
|
$1280$ |
$320$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
|
|
1280.bk |
\(\chi_{1280}(57, \cdot)\)$, \cdots ,$\(\chi_{1280}(1193, \cdot)\)
|
$1280$ |
$640$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
odd |
|
|
|
1280.bl |
\(\chi_{1280}(7, \cdot)\)$, \cdots ,$\(\chi_{1280}(1143, \cdot)\)
|
$1280$ |
$640$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
even |
|
|
|
1280.bm |
\(\chi_{1280}(41, \cdot)\)$, \cdots ,$\(\chi_{1280}(1241, \cdot)\)
|
$1280$ |
$128$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
even |
|
|
|
1280.bn |
\(\chi_{1280}(39, \cdot)\)$, \cdots ,$\(\chi_{1280}(1239, \cdot)\)
|
$1280$ |
$640$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
odd |
|
|
|
1280.bo |
\(\chi_{1280}(9, \cdot)\)$, \cdots ,$\(\chi_{1280}(1209, \cdot)\)
|
$1280$ |
$640$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
even |
|
|
|
1280.bp |
\(\chi_{1280}(71, \cdot)\)$, \cdots ,$\(\chi_{1280}(1271, \cdot)\)
|
$1280$ |
$128$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
odd |
|
|
|
1280.bq |
\(\chi_{1280}(137, \cdot)\)$, \cdots ,$\(\chi_{1280}(1273, \cdot)\)
|
$1280$ |
$640$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
odd |
|
|
|
1280.br |
\(\chi_{1280}(87, \cdot)\)$, \cdots ,$\(\chi_{1280}(1223, \cdot)\)
|
$1280$ |
$640$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
even |
|
|
|
1280.bs |
\(\chi_{1280}(53, \cdot)\)$, \cdots ,$\(\chi_{1280}(1277, \cdot)\)
|
$1280$ |
$1280$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
odd |
|
✓ |
✓ |
1280.bt |
\(\chi_{1280}(3, \cdot)\)$, \cdots ,$\(\chi_{1280}(1227, \cdot)\)
|
$1280$ |
$1280$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
even |
|
✓ |
✓ |
1280.bu |
\(\chi_{1280}(19, \cdot)\)$, \cdots ,$\(\chi_{1280}(1259, \cdot)\)
|
$1280$ |
$1280$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
odd |
|
✓ |
✓ |
1280.bv |
\(\chi_{1280}(21, \cdot)\)$, \cdots ,$\(\chi_{1280}(1261, \cdot)\)
|
$1280$ |
$256$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
even |
|
|
✓ |
1280.bw |
\(\chi_{1280}(29, \cdot)\)$, \cdots ,$\(\chi_{1280}(1269, \cdot)\)
|
$1280$ |
$1280$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
even |
|
✓ |
✓ |
1280.bx |
\(\chi_{1280}(11, \cdot)\)$, \cdots ,$\(\chi_{1280}(1251, \cdot)\)
|
$1280$ |
$256$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
odd |
|
|
✓ |