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Orbit label Conrey labels Modulus Conductor Order Parity Primitive
2.a

\(\chi_{ 2 }(1, \cdot)\)

$2$ $1$ $1$ even
3.a

\(\chi_{ 3 }(1, \cdot)\)

$3$ $1$ $1$ even
4.a

\(\chi_{ 4 }(1, \cdot)\)

$4$ $1$ $1$ even
5.a

\(\chi_{ 5 }(1, \cdot)\)

$5$ $1$ $1$ even
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
8.a

\(\chi_{ 8 }(1, \cdot)\)

$8$ $1$ $1$ even
8.c

\(\chi_{ 8 }(7, \cdot)\)

$8$ $4$ $2$ odd
9.a

\(\chi_{ 9 }(1, \cdot)\)

$9$ $1$ $1$ even
9.b

\(\chi_{ 9 }(8, \cdot)\)

$9$ $3$ $2$ 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
12.a

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

$12$ $1$ $1$ 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
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.f

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

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

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

$16$ $1$ $1$ even
16.b

\(\chi_{ 16 }(9, \cdot)\)

$16$ $8$ $2$ even
16.c

\(\chi_{ 16 }(15, \cdot)\)

$16$ $4$ $2$ odd
16.d

\(\chi_{ 16 }(7, \cdot)\)

$16$ $8$ $2$ odd
17.a

\(\chi_{ 17 }(1, \cdot)\)

$17$ $1$ $1$ even
18.a

\(\chi_{ 18 }(1, \cdot)\)

$18$ $1$ $1$ even
18.b

\(\chi_{ 18 }(17, \cdot)\)

$18$ $3$ $2$ odd
18.c

\(\chi_{ 18 }(7, \cdot)\) $, $ \(\chi_{ 18 }(13, \cdot)\)

$18$ $9$ $3$ even
18.d

\(\chi_{ 18 }(5, \cdot)\) $, $ \(\chi_{ 18 }(11, \cdot)\)

$18$ $9$ $6$ odd
19.a

\(\chi_{ 19 }(1, \cdot)\)

$19$ $1$ $1$ even
20.a

\(\chi_{ 20 }(1, \cdot)\)

$20$ $1$ $1$ even
20.b

\(\chi_{ 20 }(11, \cdot)\)

$20$ $4$ $2$ odd
20.c

\(\chi_{ 20 }(9, \cdot)\)

$20$ $5$ $2$ even
20.f

\(\chi_{ 20 }(13, \cdot)\) $, $ \(\chi_{ 20 }(17, \cdot)\)

$20$ $5$ $4$ odd
21.a

\(\chi_{ 21 }(1, \cdot)\)

$21$ $1$ $1$ even
21.b

\(\chi_{ 21 }(8, \cdot)\)

$21$ $3$ $2$ odd
21.d

\(\chi_{ 21 }(13, \cdot)\)

$21$ $7$ $2$ odd
21.e

\(\chi_{ 21 }(4, \cdot)\) $, $ \(\chi_{ 21 }(16, \cdot)\)

$21$ $7$ $3$ even
21.f

\(\chi_{ 21 }(10, \cdot)\) $, $ \(\chi_{ 21 }(19, \cdot)\)

$21$ $7$ $6$ odd
22.a

\(\chi_{ 22 }(1, \cdot)\)

$22$ $1$ $1$ even
22.b

\(\chi_{ 22 }(21, \cdot)\)

$22$ $11$ $2$ odd
22.c

\(\chi_{ 22 }(3, \cdot)\) $, $ \(\chi_{ 22 }(5, \cdot)\) $, $ \(\chi_{ 22 }(9, \cdot)\) $, $ \(\chi_{ 22 }(15, \cdot)\)

$22$ $11$ $5$ even
22.d

\(\chi_{ 22 }(7, \cdot)\) $, $ \(\chi_{ 22 }(13, \cdot)\) $, $ \(\chi_{ 22 }(17, \cdot)\) $, $ \(\chi_{ 22 }(19, \cdot)\)

$22$ $11$ $10$ odd
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