Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Parity |
Primitive |
1.a |
\(\chi_{1}(1, \cdot)\)
|
$1$ |
$1$ |
$1$ |
even |
✓ |
2.a |
\(\chi_{2}(1, \cdot)\)
|
$2$ |
$1$ |
$1$ |
even |
|
3.a |
\(\chi_{3}(1, \cdot)\)
|
$3$ |
$1$ |
$1$ |
even |
|
3.b |
\(\chi_{3}(2, \cdot)\)
|
$3$ |
$3$ |
$2$ |
odd |
✓ |
4.a |
\(\chi_{4}(1, \cdot)\)
|
$4$ |
$1$ |
$1$ |
even |
|
4.b |
\(\chi_{4}(3, \cdot)\)
|
$4$ |
$4$ |
$2$ |
odd |
✓ |
5.a |
\(\chi_{5}(1, \cdot)\)
|
$5$ |
$1$ |
$1$ |
even |
|
5.b |
\(\chi_{5}(4, \cdot)\)
|
$5$ |
$5$ |
$2$ |
even |
✓ |
5.c |
\(\chi_{5}(2, \cdot)\)$,$ \(\chi_{5}(3, \cdot)\)
|
$5$ |
$5$ |
$4$ |
odd |
✓ |
6.a |
\(\chi_{6}(1, \cdot)\)
|
$6$ |
$1$ |
$1$ |
even |
|
6.b |
\(\chi_{6}(5, \cdot)\)
|
$6$ |
$3$ |
$2$ |
odd |
|
7.a |
\(\chi_{7}(1, \cdot)\)
|
$7$ |
$1$ |
$1$ |
even |
|
7.b |
\(\chi_{7}(6, \cdot)\)
|
$7$ |
$7$ |
$2$ |
odd |
✓ |
7.c |
\(\chi_{7}(2, \cdot)\)$,$ \(\chi_{7}(4, \cdot)\)
|
$7$ |
$7$ |
$3$ |
even |
✓ |
7.d |
\(\chi_{7}(3, \cdot)\)$,$ \(\chi_{7}(5, \cdot)\)
|
$7$ |
$7$ |
$6$ |
odd |
✓ |
8.a |
\(\chi_{8}(1, \cdot)\)
|
$8$ |
$1$ |
$1$ |
even |
|
8.b |
\(\chi_{8}(5, \cdot)\)
|
$8$ |
$8$ |
$2$ |
even |
✓ |
8.c |
\(\chi_{8}(7, \cdot)\)
|
$8$ |
$4$ |
$2$ |
odd |
|
8.d |
\(\chi_{8}(3, \cdot)\)
|
$8$ |
$8$ |
$2$ |
odd |
✓ |
9.a |
\(\chi_{9}(1, \cdot)\)
|
$9$ |
$1$ |
$1$ |
even |
|
9.b |
\(\chi_{9}(8, \cdot)\)
|
$9$ |
$3$ |
$2$ |
odd |
|
9.c |
\(\chi_{9}(4, \cdot)\)$,$ \(\chi_{9}(7, \cdot)\)
|
$9$ |
$9$ |
$3$ |
even |
✓ |
9.d |
\(\chi_{9}(2, \cdot)\)$,$ \(\chi_{9}(5, \cdot)\)
|
$9$ |
$9$ |
$6$ |
odd |
✓ |
10.a |
\(\chi_{10}(1, \cdot)\)
|
$10$ |
$1$ |
$1$ |
even |
|
10.b |
\(\chi_{10}(9, \cdot)\)
|
$10$ |
$5$ |
$2$ |
even |
|
10.c |
\(\chi_{10}(3, \cdot)\)$,$ \(\chi_{10}(7, \cdot)\)
|
$10$ |
$5$ |
$4$ |
odd |
|