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Orbit label Conrey labels Modulus Conductor Order Parity Real Primitive Minimal
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

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

$11$ $11$ $5$ even ✓ ✓
11.d

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

$11$ $11$ $10$ 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

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

$13$ $13$ $12$ 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

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

$17$ $17$ $8$ 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

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

$25$ $25$ $5$ even ✓ ✓
25.e

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

$25$ $25$ $10$ 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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