| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 449.a |
\(\chi_{449}(1, \cdot)\)
|
$449$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 449.b |
\(\chi_{449}(448, \cdot)\)
|
$449$ |
$449$ |
$2$ |
\(\Q(\sqrt{449}) \) |
\(\Q\) |
even |
✓ |
✓ |
✓ |
| 449.c |
\(\chi_{449}(67, \cdot)\)$,$ \(\chi_{449}(382, \cdot)\)
|
$449$ |
$449$ |
$4$ |
4.4.90518849.1 |
\(\mathbb{Q}(i)\) |
even |
|
✓ |
✓ |
| 449.d |
\(\chi_{449}(18, \cdot)\)$, \cdots ,$\(\chi_{449}(444, \cdot)\)
|
$449$ |
$449$ |
$7$ |
7.7.8193662024284801.1 |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 449.e |
\(\chi_{449}(92, \cdot)\)$, \cdots ,$\(\chi_{449}(357, \cdot)\)
|
$449$ |
$449$ |
$8$ |
8.8.3678954248903875649.1 |
\(\Q(\zeta_{8})\) |
even |
|
✓ |
✓ |
| 449.f |
\(\chi_{449}(5, \cdot)\)$, \cdots ,$\(\chi_{449}(431, \cdot)\)
|
$449$ |
$449$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
even |
|
✓ |
✓ |
| 449.g |
\(\chi_{449}(35, \cdot)\)$, \cdots ,$\(\chi_{449}(414, \cdot)\)
|
$449$ |
$449$ |
$16$ |
not computed |
\(\Q(\zeta_{16})\) |
even |
|
✓ |
✓ |
| 449.h |
\(\chi_{449}(114, \cdot)\)$, \cdots ,$\(\chi_{449}(335, \cdot)\)
|
$449$ |
$449$ |
$28$ |
not computed |
\(\Q(\zeta_{28})\) |
even |
|
✓ |
✓ |
| 449.i |
\(\chi_{449}(10, \cdot)\)$, \cdots ,$\(\chi_{449}(439, \cdot)\)
|
$449$ |
$449$ |
$32$ |
not computed |
\(\Q(\zeta_{32})\) |
even |
|
✓ |
✓ |
| 449.j |
\(\chi_{449}(11, \cdot)\)$, \cdots ,$\(\chi_{449}(438, \cdot)\)
|
$449$ |
$449$ |
$56$ |
not computed |
$\Q(\zeta_{56})$ |
even |
|
✓ |
✓ |
| 449.k |
\(\chi_{449}(24, \cdot)\)$, \cdots ,$\(\chi_{449}(425, \cdot)\)
|
$449$ |
$449$ |
$64$ |
not computed |
$\Q(\zeta_{64})$ |
odd |
|
✓ |
✓ |
| 449.l |
\(\chi_{449}(4, \cdot)\)$, \cdots ,$\(\chi_{449}(445, \cdot)\)
|
$449$ |
$449$ |
$112$ |
not computed |
$\Q(\zeta_{112})$ |
even |
|
✓ |
✓ |
| 449.m |
\(\chi_{449}(2, \cdot)\)$, \cdots ,$\(\chi_{449}(447, \cdot)\)
|
$449$ |
$449$ |
$224$ |
not computed |
$\Q(\zeta_{224})$ |
even |
|
✓ |
✓ |
| 449.n |
\(\chi_{449}(3, \cdot)\)$, \cdots ,$\(\chi_{449}(446, \cdot)\)
|
$449$ |
$449$ |
$448$ |
not computed |
$\Q(\zeta_{448})$ |
odd |
|
✓ |
✓ |
