Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
196.a |
\(\chi_{196}(1, \cdot)\)
|
$196$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
196.b |
\(\chi_{196}(97, \cdot)\)
|
$196$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
196.c |
\(\chi_{196}(99, \cdot)\)
|
$196$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
196.d |
\(\chi_{196}(195, \cdot)\)
|
$196$ |
$28$ |
$2$ |
\(\Q(\sqrt{7}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
196.e |
\(\chi_{196}(165, \cdot)\)$,$ \(\chi_{196}(177, \cdot)\)
|
$196$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
196.f |
\(\chi_{196}(19, \cdot)\)$,$ \(\chi_{196}(31, \cdot)\)
|
$196$ |
$28$ |
$6$ |
\(\Q(\zeta_{28})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
196.g |
\(\chi_{196}(67, \cdot)\)$,$ \(\chi_{196}(79, \cdot)\)
|
$196$ |
$28$ |
$6$ |
6.0.153664.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
196.h |
\(\chi_{196}(117, \cdot)\)$,$ \(\chi_{196}(129, \cdot)\)
|
$196$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
196.i |
\(\chi_{196}(29, \cdot)\)$, \cdots ,$\(\chi_{196}(169, \cdot)\)
|
$196$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
196.j |
\(\chi_{196}(27, \cdot)\)$, \cdots ,$\(\chi_{196}(167, \cdot)\)
|
$196$ |
$196$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
196.k |
\(\chi_{196}(15, \cdot)\)$, \cdots ,$\(\chi_{196}(183, \cdot)\)
|
$196$ |
$196$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
✓ |
✓ |
196.l |
\(\chi_{196}(13, \cdot)\)$, \cdots ,$\(\chi_{196}(181, \cdot)\)
|
$196$ |
$49$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
196.m |
\(\chi_{196}(9, \cdot)\)$, \cdots ,$\(\chi_{196}(193, \cdot)\)
|
$196$ |
$49$ |
$21$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
|
✓ |
196.n |
\(\chi_{196}(5, \cdot)\)$, \cdots ,$\(\chi_{196}(185, \cdot)\)
|
$196$ |
$49$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
|
✓ |
196.o |
\(\chi_{196}(11, \cdot)\)$, \cdots ,$\(\chi_{196}(191, \cdot)\)
|
$196$ |
$196$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
odd |
|
✓ |
✓ |
196.p |
\(\chi_{196}(3, \cdot)\)$, \cdots ,$\(\chi_{196}(187, \cdot)\)
|
$196$ |
$196$ |
$42$ |
not computed |
\(\Q(\zeta_{21})\) |
even |
|
✓ |
✓ |