| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 195.a |
\(\chi_{195}(1, \cdot)\)
|
$195$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 195.b |
\(\chi_{195}(181, \cdot)\)
|
$195$ |
$13$ |
$2$ |
\(\Q(\sqrt{13}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 195.c |
\(\chi_{195}(79, \cdot)\)
|
$195$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 195.d |
\(\chi_{195}(131, \cdot)\)
|
$195$ |
$3$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 195.e |
\(\chi_{195}(194, \cdot)\)
|
$195$ |
$195$ |
$2$ |
\(\Q(\sqrt{-195}) \) |
\(\Q\) |
odd |
✓ |
✓ |
✓ |
| 195.f |
\(\chi_{195}(14, \cdot)\)
|
$195$ |
$15$ |
$2$ |
\(\Q(\sqrt{-15}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 195.g |
\(\chi_{195}(116, \cdot)\)
|
$195$ |
$39$ |
$2$ |
\(\Q(\sqrt{-39}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 195.h |
\(\chi_{195}(64, \cdot)\)
|
$195$ |
$65$ |
$2$ |
\(\Q(\sqrt{65}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 195.i |
\(\chi_{195}(16, \cdot)\)$,$ \(\chi_{195}(61, \cdot)\)
|
$195$ |
$13$ |
$3$ |
3.3.169.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 195.j |
\(\chi_{195}(8, \cdot)\)$,$ \(\chi_{195}(122, \cdot)\)
|
$195$ |
$195$ |
$4$ |
4.0.2471625.2 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 195.k |
\(\chi_{195}(112, \cdot)\)$,$ \(\chi_{195}(148, \cdot)\)
|
$195$ |
$65$ |
$4$ |
4.4.274625.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 195.l |
\(\chi_{195}(103, \cdot)\)$,$ \(\chi_{195}(142, \cdot)\)
|
$195$ |
$65$ |
$4$ |
4.0.21125.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 195.m |
\(\chi_{195}(53, \cdot)\)$,$ \(\chi_{195}(92, \cdot)\)
|
$195$ |
$15$ |
$4$ |
\(\Q(\zeta_{15})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 195.n |
\(\chi_{195}(44, \cdot)\)$,$ \(\chi_{195}(164, \cdot)\)
|
$195$ |
$195$ |
$4$ |
4.4.494325.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 195.o |
\(\chi_{195}(86, \cdot)\)$,$ \(\chi_{195}(161, \cdot)\)
|
$195$ |
$39$ |
$4$ |
4.4.19773.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 195.p |
\(\chi_{195}(31, \cdot)\)$,$ \(\chi_{195}(151, \cdot)\)
|
$195$ |
$13$ |
$4$ |
4.0.2197.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 195.q |
\(\chi_{195}(34, \cdot)\)$,$ \(\chi_{195}(109, \cdot)\)
|
$195$ |
$65$ |
$4$ |
4.0.54925.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 195.r |
\(\chi_{195}(118, \cdot)\)$,$ \(\chi_{195}(157, \cdot)\)
|
$195$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 195.s |
\(\chi_{195}(38, \cdot)\)$,$ \(\chi_{195}(77, \cdot)\)
|
$195$ |
$195$ |
$4$ |
4.4.190125.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 195.t |
\(\chi_{195}(73, \cdot)\)$,$ \(\chi_{195}(187, \cdot)\)
|
$195$ |
$65$ |
$4$ |
4.4.274625.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 195.u |
\(\chi_{195}(47, \cdot)\)$,$ \(\chi_{195}(83, \cdot)\)
|
$195$ |
$195$ |
$4$ |
4.0.2471625.1 |
\(\mathbb{Q}(i)\) |
odd |
|
✓ |
✓ |
| 195.v |
\(\chi_{195}(4, \cdot)\)$,$ \(\chi_{195}(49, \cdot)\)
|
$195$ |
$65$ |
$6$ |
6.6.46411625.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 195.w |
\(\chi_{195}(56, \cdot)\)$,$ \(\chi_{195}(101, \cdot)\)
|
$195$ |
$39$ |
$6$ |
6.0.10024911.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 195.x |
\(\chi_{195}(29, \cdot)\)$,$ \(\chi_{195}(74, \cdot)\)
|
$195$ |
$195$ |
$6$ |
6.0.96393375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 195.y |
\(\chi_{195}(134, \cdot)\)$,$ \(\chi_{195}(179, \cdot)\)
|
$195$ |
$195$ |
$6$ |
6.0.1253113875.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
✓ |
✓ |
| 195.z |
\(\chi_{195}(146, \cdot)\)$,$ \(\chi_{195}(191, \cdot)\)
|
$195$ |
$39$ |
$6$ |
6.0.771147.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
| 195.ba |
\(\chi_{195}(94, \cdot)\)$,$ \(\chi_{195}(139, \cdot)\)
|
$195$ |
$65$ |
$6$ |
6.6.3570125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 195.bb |
\(\chi_{195}(121, \cdot)\)$,$ \(\chi_{195}(166, \cdot)\)
|
$195$ |
$13$ |
$6$ |
\(\Q(\zeta_{13})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
| 195.bc |
\(\chi_{195}(137, \cdot)\)$, \cdots ,$\(\chi_{195}(188, \cdot)\)
|
$195$ |
$195$ |
$12$ |
12.0.2551728373540962890625.2 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
| 195.bd |
\(\chi_{195}(67, \cdot)\)$, \cdots ,$\(\chi_{195}(193, \cdot)\)
|
$195$ |
$65$ |
$12$ |
12.12.3500313269603515625.2 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 195.be |
\(\chi_{195}(22, \cdot)\)$, \cdots ,$\(\chi_{195}(178, \cdot)\)
|
$195$ |
$65$ |
$12$ |
12.0.1593224064453125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 195.bf |
\(\chi_{195}(17, \cdot)\)$, \cdots ,$\(\chi_{195}(173, \cdot)\)
|
$195$ |
$195$ |
$12$ |
12.12.196286797964689453125.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 195.bg |
\(\chi_{195}(11, \cdot)\)$, \cdots ,$\(\chi_{195}(176, \cdot)\)
|
$195$ |
$39$ |
$12$ |
\(\Q(\zeta_{39})^+\) |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 195.bh |
\(\chi_{195}(59, \cdot)\)$, \cdots ,$\(\chi_{195}(149, \cdot)\)
|
$195$ |
$195$ |
$12$ |
12.12.20413826988327703125.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 195.bi |
\(\chi_{195}(19, \cdot)\)$, \cdots ,$\(\chi_{195}(184, \cdot)\)
|
$195$ |
$65$ |
$12$ |
12.0.28002506156828125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 195.bj |
\(\chi_{195}(46, \cdot)\)$, \cdots ,$\(\chi_{195}(136, \cdot)\)
|
$195$ |
$13$ |
$12$ |
\(\Q(\zeta_{13})\) |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 195.bk |
\(\chi_{195}(43, \cdot)\)$, \cdots ,$\(\chi_{195}(127, \cdot)\)
|
$195$ |
$65$ |
$12$ |
12.0.269254866892578125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
✓ |
| 195.bl |
\(\chi_{195}(68, \cdot)\)$, \cdots ,$\(\chi_{195}(152, \cdot)\)
|
$195$ |
$195$ |
$12$ |
12.12.1161460342986328125.1 |
\(\Q(\zeta_{12})\) |
even |
|
✓ |
✓ |
| 195.bm |
\(\chi_{195}(7, \cdot)\)$, \cdots ,$\(\chi_{195}(58, \cdot)\)
|
$195$ |
$65$ |
$12$ |
12.12.3500313269603515625.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
✓ |
| 195.bn |
\(\chi_{195}(2, \cdot)\)$, \cdots ,$\(\chi_{195}(128, \cdot)\)
|
$195$ |
$195$ |
$12$ |
12.0.2551728373540962890625.1 |
\(\Q(\zeta_{12})\) |
odd |
|
✓ |
✓ |
