| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 10060.a |
\(\chi_{10060}(1, \cdot)\)
|
$10060$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 10060.b |
\(\chi_{10060}(2011, \cdot)\)
|
$10060$ |
$2012$ |
$2$ |
\(\Q(\sqrt{503}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 10060.c |
\(\chi_{10060}(5031, \cdot)\)
|
$10060$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 10060.d |
\(\chi_{10060}(8049, \cdot)\)
|
$10060$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 10060.e |
\(\chi_{10060}(5029, \cdot)\)
|
$10060$ |
$2515$ |
$2$ |
\(\Q(\sqrt{-2515}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 10060.f |
\(\chi_{10060}(3019, \cdot)\)
|
$10060$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 10060.g |
\(\chi_{10060}(10059, \cdot)\)
|
$10060$ |
$10060$ |
$2$ |
\(\Q(\sqrt{2515}) \) |
\(\Q\) |
even |
✓ |
✓ |
✓ |
| 10060.h |
\(\chi_{10060}(7041, \cdot)\)
|
$10060$ |
$503$ |
$2$ |
\(\Q(\sqrt{-503}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 10060.i |
\(\chi_{10060}(4023, \cdot)\)$,$ \(\chi_{10060}(8047, \cdot)\)
|
$10060$ |
$10060$ |
$4$ |
4.0.506018000.1 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 10060.j |
\(\chi_{10060}(1007, \cdot)\)$,$ \(\chi_{10060}(7043, \cdot)\)
|
$10060$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 10060.k |
\(\chi_{10060}(2013, \cdot)\)$,$ \(\chi_{10060}(6037, \cdot)\)
|
$10060$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 10060.l |
\(\chi_{10060}(3017, \cdot)\)$,$ \(\chi_{10060}(9053, \cdot)\)
|
$10060$ |
$2515$ |
$4$ |
4.4.31626125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 10060.m |
\(\chi_{10060}(21, \cdot)\)$, \cdots ,$\(\chi_{10060}(10041, \cdot)\)
|
$10060$ |
$503$ |
$251$ |
not computed |
$\Q(\zeta_{251})$ |
even |
|
|
✓ |
| 10060.n |
\(\chi_{10060}(41, \cdot)\)$, \cdots ,$\(\chi_{10060}(10021, \cdot)\)
|
$10060$ |
$503$ |
$502$ |
not computed |
$\Q(\zeta_{251})$ |
odd |
|
|
✓ |
| 10060.o |
\(\chi_{10060}(19, \cdot)\)$, \cdots ,$\(\chi_{10060}(10039, \cdot)\)
|
$10060$ |
$10060$ |
$502$ |
not computed |
$\Q(\zeta_{251})$ |
even |
|
✓ |
✓ |
| 10060.p |
\(\chi_{10060}(39, \cdot)\)$, \cdots ,$\(\chi_{10060}(10019, \cdot)\)
|
$10060$ |
$10060$ |
$502$ |
not computed |
$\Q(\zeta_{251})$ |
odd |
|
✓ |
✓ |
| 10060.q |
\(\chi_{10060}(29, \cdot)\)$, \cdots ,$\(\chi_{10060}(10049, \cdot)\)
|
$10060$ |
$2515$ |
$502$ |
not computed |
$\Q(\zeta_{251})$ |
odd |
|
|
✓ |
| 10060.r |
\(\chi_{10060}(9, \cdot)\)$, \cdots ,$\(\chi_{10060}(10029, \cdot)\)
|
$10060$ |
$2515$ |
$502$ |
not computed |
$\Q(\zeta_{251})$ |
even |
|
|
✓ |
| 10060.s |
\(\chi_{10060}(11, \cdot)\)$, \cdots ,$\(\chi_{10060}(10031, \cdot)\)
|
$10060$ |
$2012$ |
$502$ |
not computed |
$\Q(\zeta_{251})$ |
odd |
|
|
✓ |
| 10060.t |
\(\chi_{10060}(31, \cdot)\)$, \cdots ,$\(\chi_{10060}(10051, \cdot)\)
|
$10060$ |
$2012$ |
$502$ |
not computed |
$\Q(\zeta_{251})$ |
even |
|
|
✓ |
| 10060.u |
\(\chi_{10060}(17, \cdot)\)$, \cdots ,$\(\chi_{10060}(10057, \cdot)\)
|
$10060$ |
$2515$ |
$1004$ |
not computed |
$\Q(\zeta_{1004})$ |
even |
|
|
✓ |
| 10060.v |
\(\chi_{10060}(13, \cdot)\)$, \cdots ,$\(\chi_{10060}(9973, \cdot)\)
|
$10060$ |
$2515$ |
$1004$ |
not computed |
$\Q(\zeta_{1004})$ |
odd |
|
|
✓ |
| 10060.w |
\(\chi_{10060}(3, \cdot)\)$, \cdots ,$\(\chi_{10060}(10043, \cdot)\)
|
$10060$ |
$10060$ |
$1004$ |
not computed |
$\Q(\zeta_{1004})$ |
even |
|
✓ |
✓ |
| 10060.x |
\(\chi_{10060}(87, \cdot)\)$, \cdots ,$\(\chi_{10060}(10047, \cdot)\)
|
$10060$ |
$10060$ |
$1004$ |
not computed |
$\Q(\zeta_{1004})$ |
odd |
|
✓ |
✓ |
