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Orbit label Conrey labels Modulus Conductor Order Parity Primitive
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
13.f

\(\chi_{ 13 }(2, \cdot)\) $, $ \(\chi_{ 13 }(6, \cdot)\) $, $ \(\chi_{ 13 }(7, \cdot)\) $, $ \(\chi_{ 13 }(11, \cdot)\)

$13$ $13$ $12$ odd
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.c

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

$16$ $4$ $2$ odd
16.e

\(\chi_{ 16 }(5, \cdot)\) $, $ \(\chi_{ 16 }(13, \cdot)\)

$16$ $16$ $4$ even
16.f

\(\chi_{ 16 }(3, \cdot)\) $, $ \(\chi_{ 16 }(11, \cdot)\)

$16$ $16$ $4$ odd
17.a

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

$17$ $1$ $1$ even
17.b

\(\chi_{ 17 }(16, \cdot)\)

$17$ $17$ $2$ even
17.c

\(\chi_{ 17 }(4, \cdot)\) $, $ \(\chi_{ 17 }(13, \cdot)\)

$17$ $17$ $4$ even
17.d

\(\chi_{ 17 }(2, \cdot)\) $, $ \(\chi_{ 17 }(8, \cdot)\) $, $ \(\chi_{ 17 }(9, \cdot)\) $, $ \(\chi_{ 17 }(15, \cdot)\)

$17$ $17$ $8$ even
17.e

\(\chi_{ 17 }(3, \cdot)\) $, \cdots ,$ \(\chi_{ 17 }(14, \cdot)\)

$17$ $17$ $16$ odd
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
19.b

\(\chi_{ 19 }(18, \cdot)\)

$19$ $19$ $2$ odd
19.c

\(\chi_{ 19 }(7, \cdot)\) $, $ \(\chi_{ 19 }(11, \cdot)\)

$19$ $19$ $3$ even
19.d

\(\chi_{ 19 }(8, \cdot)\) $, $ \(\chi_{ 19 }(12, \cdot)\)

$19$ $19$ $6$ odd
19.e

\(\chi_{ 19 }(4, \cdot)\) $, \cdots ,$ \(\chi_{ 19 }(17, \cdot)\)

$19$ $19$ $9$ even
19.f

\(\chi_{ 19 }(2, \cdot)\) $, \cdots ,$ \(\chi_{ 19 }(15, \cdot)\)

$19$ $19$ $18$ odd
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.d

\(\chi_{ 20 }(19, \cdot)\)

$20$ $20$ $2$ odd
20.e

\(\chi_{ 20 }(3, \cdot)\) $, $ \(\chi_{ 20 }(7, \cdot)\)

$20$ $20$ $4$ 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
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