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Modulus Conductor Order Induced by
Parity Primitive Minimal Real
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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
3.b

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

$3$ $3$ $2$ \(\Q\) odd ✓ ✓ ✓
4.b

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

$4$ $4$ $2$ \(\Q\) odd ✓ ✓ ✓
5.b

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

$5$ $5$ $2$ \(\Q\) even ✓ ✓ ✓
6.b

\(\chi_{6}(5, \cdot)\)

$6$ $3$ $2$ \(\Q\) odd ✓ ✓
7.b

\(\chi_{7}(6, \cdot)\)

$7$ $7$ $2$ \(\Q\) odd ✓ ✓ ✓
8.b

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

$8$ $8$ $2$ \(\Q\) even ✓ ✓ ✓
8.c

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

$8$ $4$ $2$ \(\Q\) odd ✓
8.d

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

$8$ $8$ $2$ \(\Q\) odd ✓ ✓ ✓
9.b

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

$9$ $3$ $2$ \(\Q\) odd ✓ ✓
10.b

\(\chi_{10}(9, \cdot)\)

$10$ $5$ $2$ \(\Q\) even ✓ ✓
11.b

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

$11$ $11$ $2$ \(\Q\) odd ✓ ✓ ✓
12.b

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

$12$ $12$ $2$ \(\Q\) even ✓ ✓ ✓
12.c

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

$12$ $3$ $2$ \(\Q\) odd ✓ ✓
12.d

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

$12$ $4$ $2$ \(\Q\) odd ✓ ✓
13.b

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

$13$ $13$ $2$ \(\Q\) even ✓ ✓ ✓
14.b

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

$14$ $7$ $2$ \(\Q\) odd ✓ ✓
15.b

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

$15$ $5$ $2$ \(\Q\) even ✓ ✓
15.c

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

$15$ $3$ $2$ \(\Q\) odd ✓ ✓
15.d

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

$15$ $15$ $2$ \(\Q\) odd ✓ ✓ ✓
16.b

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

$16$ $8$ $2$ \(\Q\) even ✓
16.c

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

$16$ $4$ $2$ \(\Q\) odd ✓ ✓
16.d

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

$16$ $8$ $2$ \(\Q\) odd ✓
17.b

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

$17$ $17$ $2$ \(\Q\) even ✓ ✓ ✓
18.b

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

$18$ $3$ $2$ \(\Q\) odd ✓ ✓
19.b

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

$19$ $19$ $2$ \(\Q\) odd ✓ ✓ ✓
20.b

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

$20$ $4$ $2$ \(\Q\) odd ✓ ✓
20.c

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

$20$ $5$ $2$ \(\Q\) even ✓ ✓
20.d

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

$20$ $20$ $2$ \(\Q\) odd ✓ ✓ ✓
21.b

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

$21$ $3$ $2$ \(\Q\) odd ✓ ✓
21.c

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

$21$ $21$ $2$ \(\Q\) even ✓ ✓ ✓
21.d

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

$21$ $7$ $2$ \(\Q\) odd ✓ ✓
22.b

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

$22$ $11$ $2$ \(\Q\) odd ✓ ✓
23.b

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

$23$ $23$ $2$ \(\Q\) odd ✓ ✓ ✓
24.b

\(\chi_{24}(19, \cdot)\)

$24$ $8$ $2$ \(\Q\) odd ✓ ✓
24.c

\(\chi_{24}(23, \cdot)\)

$24$ $12$ $2$ \(\Q\) even ✓
24.d

\(\chi_{24}(13, \cdot)\)

$24$ $8$ $2$ \(\Q\) even ✓ ✓
24.e

\(\chi_{24}(17, \cdot)\)

$24$ $3$ $2$ \(\Q\) odd ✓ ✓
24.f

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

$24$ $24$ $2$ \(\Q\) even ✓ ✓ ✓
24.g

\(\chi_{24}(7, \cdot)\)

$24$ $4$ $2$ \(\Q\) odd ✓
24.h

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

$24$ $24$ $2$ \(\Q\) odd ✓ ✓ ✓
25.b

\(\chi_{25}(24, \cdot)\)

$25$ $5$ $2$ \(\Q\) even ✓
26.b

\(\chi_{26}(25, \cdot)\)

$26$ $13$ $2$ \(\Q\) even ✓ ✓
27.b

\(\chi_{27}(26, \cdot)\)

$27$ $3$ $2$ \(\Q\) odd ✓ ✓
28.b

\(\chi_{28}(13, \cdot)\)

$28$ $7$ $2$ \(\Q\) odd ✓ ✓
28.c

\(\chi_{28}(15, \cdot)\)

$28$ $4$ $2$ \(\Q\) odd ✓ ✓
28.d

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

$28$ $28$ $2$ \(\Q\) even ✓ ✓ ✓
29.b

\(\chi_{29}(28, \cdot)\)

$29$ $29$ $2$ \(\Q\) even ✓ ✓ ✓
30.b

\(\chi_{30}(29, \cdot)\)

$30$ $15$ $2$ \(\Q\) odd ✓ ✓
30.c

\(\chi_{30}(19, \cdot)\)

$30$ $5$ $2$ \(\Q\) even ✓ ✓
30.d

\(\chi_{30}(11, \cdot)\)

$30$ $3$ $2$ \(\Q\) odd ✓ ✓
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