| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 160.a |
\(\chi_{160}(1, \cdot)\)
|
$160$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 160.b |
\(\chi_{160}(31, \cdot)\)
|
$160$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 160.c |
\(\chi_{160}(129, \cdot)\)
|
$160$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 160.d |
\(\chi_{160}(81, \cdot)\)
|
$160$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
|
| 160.e |
\(\chi_{160}(79, \cdot)\)
|
$160$ |
$40$ |
$2$ |
\(\Q(\sqrt{-10}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 160.f |
\(\chi_{160}(49, \cdot)\)
|
$160$ |
$40$ |
$2$ |
\(\Q(\sqrt{10}) \) |
\(\Q\) |
even |
✓ |
|
|
| 160.g |
\(\chi_{160}(111, \cdot)\)
|
$160$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 160.h |
\(\chi_{160}(159, \cdot)\)
|
$160$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 160.i |
\(\chi_{160}(57, \cdot)\)$,$ \(\chi_{160}(73, \cdot)\)
|
$160$ |
$80$ |
$4$ |
\(\Q(\sqrt{-10 +3 \sqrt{10}})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 160.j |
\(\chi_{160}(87, \cdot)\)$,$ \(\chi_{160}(103, \cdot)\)
|
$160$ |
$80$ |
$4$ |
\(\Q(\sqrt{10 + \sqrt{10}})\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 160.k |
\(\chi_{160}(39, \cdot)\)$,$ \(\chi_{160}(119, \cdot)\)
|
$160$ |
$80$ |
$4$ |
\(\Q(\sqrt{-10 +5 \sqrt{2}})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 160.l |
\(\chi_{160}(41, \cdot)\)$,$ \(\chi_{160}(121, \cdot)\)
|
$160$ |
$16$ |
$4$ |
\(\Q(\zeta_{16})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 160.m |
\(\chi_{160}(17, \cdot)\)$,$ \(\chi_{160}(113, \cdot)\)
|
$160$ |
$40$ |
$4$ |
\(\Q(\sqrt{-5 + \sqrt{5}})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 160.n |
\(\chi_{160}(63, \cdot)\)$,$ \(\chi_{160}(127, \cdot)\)
|
$160$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 160.o |
\(\chi_{160}(47, \cdot)\)$,$ \(\chi_{160}(143, \cdot)\)
|
$160$ |
$40$ |
$4$ |
\(\Q(\sqrt{5 + \sqrt{5}})\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 160.p |
\(\chi_{160}(33, \cdot)\)$,$ \(\chi_{160}(97, \cdot)\)
|
$160$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 160.q |
\(\chi_{160}(9, \cdot)\)$,$ \(\chi_{160}(89, \cdot)\)
|
$160$ |
$80$ |
$4$ |
\(\Q(\sqrt{10 +5 \sqrt{2}})\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 160.r |
\(\chi_{160}(71, \cdot)\)$,$ \(\chi_{160}(151, \cdot)\)
|
$160$ |
$16$ |
$4$ |
\(\Q(\sqrt{-2 + \sqrt{2}})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 160.s |
\(\chi_{160}(7, \cdot)\)$,$ \(\chi_{160}(23, \cdot)\)
|
$160$ |
$80$ |
$4$ |
\(\Q(\sqrt{10 +3 \sqrt{10}})\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 160.t |
\(\chi_{160}(137, \cdot)\)$,$ \(\chi_{160}(153, \cdot)\)
|
$160$ |
$80$ |
$4$ |
\(\Q(\sqrt{-10 + \sqrt{10}})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 160.u |
\(\chi_{160}(43, \cdot)\)$, \cdots ,$\(\chi_{160}(147, \cdot)\)
|
$160$ |
$160$ |
$8$ |
8.8.33554432000000.2 |
\(\Q(\zeta_{8})\) |
even |
|
✓ |
✓ |
| 160.v |
\(\chi_{160}(13, \cdot)\)$, \cdots ,$\(\chi_{160}(117, \cdot)\)
|
$160$ |
$160$ |
$8$ |
8.0.33554432000000.1 |
\(\Q(\zeta_{8})\) |
odd |
|
✓ |
✓ |
| 160.w |
\(\chi_{160}(11, \cdot)\)$, \cdots ,$\(\chi_{160}(131, \cdot)\)
|
$160$ |
$32$ |
$8$ |
8.0.2147483648.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
✓ |
| 160.x |
\(\chi_{160}(21, \cdot)\)$, \cdots ,$\(\chi_{160}(141, \cdot)\)
|
$160$ |
$32$ |
$8$ |
\(\Q(\zeta_{32})^+\) |
\(\Q(\zeta_{8})\) |
even |
|
|
✓ |
| 160.y |
\(\chi_{160}(19, \cdot)\)$, \cdots ,$\(\chi_{160}(139, \cdot)\)
|
$160$ |
$160$ |
$8$ |
8.0.1342177280000.1 |
\(\Q(\zeta_{8})\) |
odd |
|
✓ |
✓ |
| 160.z |
\(\chi_{160}(29, \cdot)\)$, \cdots ,$\(\chi_{160}(149, \cdot)\)
|
$160$ |
$160$ |
$8$ |
8.8.1342177280000.1 |
\(\Q(\zeta_{8})\) |
even |
|
✓ |
✓ |
| 160.ba |
\(\chi_{160}(3, \cdot)\)$, \cdots ,$\(\chi_{160}(107, \cdot)\)
|
$160$ |
$160$ |
$8$ |
8.8.33554432000000.1 |
\(\Q(\zeta_{8})\) |
even |
|
✓ |
✓ |
| 160.bb |
\(\chi_{160}(53, \cdot)\)$, \cdots ,$\(\chi_{160}(157, \cdot)\)
|
$160$ |
$160$ |
$8$ |
8.0.33554432000000.2 |
\(\Q(\zeta_{8})\) |
odd |
|
✓ |
✓ |
