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

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

$1$ $1$ $1$ even
3.b

\(\chi_{ 3 }(2, \cdot)\)

$3$ $3$ $2$ odd
4.b

\(\chi_{ 4 }(3, \cdot)\)

$4$ $4$ $2$ odd
5.b

\(\chi_{ 5 }(4, \cdot)\)

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

\(\chi_{ 5 }(2, \cdot)\) $, $ \(\chi_{ 5 }(3, \cdot)\)

$5$ $5$ $4$ odd
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.b

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

$8$ $8$ $2$ even
8.d

\(\chi_{ 8 }(3, \cdot)\)

$8$ $8$ $2$ 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
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.b

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

$12$ $12$ $2$ 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
15.d

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

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

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

$15$ $15$ $4$ even
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.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
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.d

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

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

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

$20$ $20$ $4$ even
21.c

\(\chi_{ 21 }(20, \cdot)\)

$21$ $21$ $2$ even
21.g

\(\chi_{ 21 }(5, \cdot)\) $, $ \(\chi_{ 21 }(17, \cdot)\)

$21$ $21$ $6$ even
21.h

\(\chi_{ 21 }(2, \cdot)\) $, $ \(\chi_{ 21 }(11, \cdot)\)

$21$ $21$ $6$ odd
23.b

\(\chi_{ 23 }(22, \cdot)\)

$23$ $23$ $2$ odd
23.c

\(\chi_{ 23 }(2, \cdot)\) $, \cdots ,$ \(\chi_{ 23 }(18, \cdot)\)

$23$ $23$ $11$ even
23.d

\(\chi_{ 23 }(5, \cdot)\) $, \cdots ,$ \(\chi_{ 23 }(21, \cdot)\)

$23$ $23$ $22$ odd
24.f

\(\chi_{ 24 }(11, \cdot)\)

$24$ $24$ $2$ even
24.h

\(\chi_{ 24 }(5, \cdot)\)

$24$ $24$ $2$ odd
25.d

\(\chi_{ 25 }(6, \cdot)\) $, $ \(\chi_{ 25 }(11, \cdot)\) $, $ \(\chi_{ 25 }(16, \cdot)\) $, $ \(\chi_{ 25 }(21, \cdot)\)

$25$ $25$ $5$ even
25.e

\(\chi_{ 25 }(4, \cdot)\) $, $ \(\chi_{ 25 }(9, \cdot)\) $, $ \(\chi_{ 25 }(14, \cdot)\) $, $ \(\chi_{ 25 }(19, \cdot)\)

$25$ $25$ $10$ even
25.f

\(\chi_{ 25 }(2, \cdot)\) $, \cdots ,$ \(\chi_{ 25 }(23, \cdot)\)

$25$ $25$ $20$ odd
27.e

\(\chi_{ 27 }(4, \cdot)\) $, \cdots ,$ \(\chi_{ 27 }(25, \cdot)\)

$27$ $27$ $9$ even
27.f

\(\chi_{ 27 }(2, \cdot)\) $, \cdots ,$ \(\chi_{ 27 }(23, \cdot)\)

$27$ $27$ $18$ odd
28.d

\(\chi_{ 28 }(27, \cdot)\)

$28$ $28$ $2$ even
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