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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
11.a

\(\chi_{ 11 }(1, \cdot)\)

$11$ $1$ $1$ even
11.b

\(\chi_{ 11 }(10, \cdot)\)

$11$ $11$ $2$ odd
11.c

\(\chi_{ 11 }(3, \cdot)\) $, $ \(\chi_{ 11 }(4, \cdot)\) $, $ \(\chi_{ 11 }(5, \cdot)\) $, $ \(\chi_{ 11 }(9, \cdot)\)

$11$ $11$ $5$ even
11.d

\(\chi_{ 11 }(2, \cdot)\) $, $ \(\chi_{ 11 }(6, \cdot)\) $, $ \(\chi_{ 11 }(7, \cdot)\) $, $ \(\chi_{ 11 }(8, \cdot)\)

$11$ $11$ $10$ odd
12.a

\(\chi_{ 12 }(1, \cdot)\)

$12$ $1$ $1$ even
12.b

\(\chi_{ 12 }(11, \cdot)\)

$12$ $12$ $2$ even
12.c

\(\chi_{ 12 }(5, \cdot)\)

$12$ $3$ $2$ odd
12.d

\(\chi_{ 12 }(7, \cdot)\)

$12$ $4$ $2$ odd
13.a

\(\chi_{ 13 }(1, \cdot)\)

$13$ $1$ $1$ even
13.b

\(\chi_{ 13 }(12, \cdot)\)

$13$ $13$ $2$ even
13.c

\(\chi_{ 13 }(3, \cdot)\) $, $ \(\chi_{ 13 }(9, \cdot)\)

$13$ $13$ $3$ even
13.d

\(\chi_{ 13 }(5, \cdot)\) $, $ \(\chi_{ 13 }(8, \cdot)\)

$13$ $13$ $4$ odd
13.e

\(\chi_{ 13 }(4, \cdot)\) $, $ \(\chi_{ 13 }(10, \cdot)\)

$13$ $13$ $6$ even
14.a

\(\chi_{ 14 }(1, \cdot)\)

$14$ $1$ $1$ even
14.b

\(\chi_{ 14 }(13, \cdot)\)

$14$ $7$ $2$ odd
14.c

\(\chi_{ 14 }(9, \cdot)\) $, $ \(\chi_{ 14 }(11, \cdot)\)

$14$ $7$ $3$ even
14.d

\(\chi_{ 14 }(3, \cdot)\) $, $ \(\chi_{ 14 }(5, \cdot)\)

$14$ $7$ $6$ odd
15.a

\(\chi_{ 15 }(1, \cdot)\)

$15$ $1$ $1$ even
15.b

\(\chi_{ 15 }(4, \cdot)\)

$15$ $5$ $2$ even
15.c

\(\chi_{ 15 }(11, \cdot)\)

$15$ $3$ $2$ odd
15.d

\(\chi_{ 15 }(14, \cdot)\)

$15$ $15$ $2$ odd
15.e

\(\chi_{ 15 }(2, \cdot)\) $, $ \(\chi_{ 15 }(8, \cdot)\)

$15$ $15$ $4$ even
15.f

\(\chi_{ 15 }(7, \cdot)\) $, $ \(\chi_{ 15 }(13, \cdot)\)

$15$ $5$ $4$ odd
16.a

\(\chi_{ 16 }(1, \cdot)\)

$16$ $1$ $1$ even
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