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Orbit label Conrey labels Modulus Conductor Order Parity Primitive
5.c

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

$5$ $5$ $4$ odd
10.c

\(\chi_{ 10 }(3, \cdot)\) $, $ \(\chi_{ 10 }(7, \cdot)\)

$10$ $5$ $4$ odd
13.d

\(\chi_{ 13 }(5, \cdot)\) $, $ \(\chi_{ 13 }(8, \cdot)\)

$13$ $13$ $4$ 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.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.c

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

$17$ $17$ $4$ even
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
25.c

\(\chi_{ 25 }(7, \cdot)\) $, $ \(\chi_{ 25 }(18, \cdot)\)

$25$ $5$ $4$ odd
26.d

\(\chi_{ 26 }(5, \cdot)\) $, $ \(\chi_{ 26 }(21, \cdot)\)

$26$ $13$ $4$ odd
29.c

\(\chi_{ 29 }(12, \cdot)\) $, $ \(\chi_{ 29 }(17, \cdot)\)

$29$ $29$ $4$ odd
30.e

\(\chi_{ 30 }(17, \cdot)\) $, $ \(\chi_{ 30 }(23, \cdot)\)

$30$ $15$ $4$ even
30.f

\(\chi_{ 30 }(7, \cdot)\) $, $ \(\chi_{ 30 }(13, \cdot)\)

$30$ $5$ $4$ odd
32.e

\(\chi_{ 32 }(9, \cdot)\) $, $ \(\chi_{ 32 }(25, \cdot)\)

$32$ $16$ $4$ even
32.f

\(\chi_{ 32 }(7, \cdot)\) $, $ \(\chi_{ 32 }(23, \cdot)\)

$32$ $16$ $4$ odd
34.c

\(\chi_{ 34 }(13, \cdot)\) $, $ \(\chi_{ 34 }(21, \cdot)\)

$34$ $17$ $4$ even
35.f

\(\chi_{ 35 }(13, \cdot)\) $, $ \(\chi_{ 35 }(27, \cdot)\)

$35$ $35$ $4$ even
35.g

\(\chi_{ 35 }(8, \cdot)\) $, $ \(\chi_{ 35 }(22, \cdot)\)

$35$ $5$ $4$ odd
37.d

\(\chi_{ 37 }(6, \cdot)\) $, $ \(\chi_{ 37 }(31, \cdot)\)

$37$ $37$ $4$ odd
39.f

\(\chi_{ 39 }(5, \cdot)\) $, $ \(\chi_{ 39 }(8, \cdot)\)

$39$ $39$ $4$ even
39.g

\(\chi_{ 39 }(31, \cdot)\) $, $ \(\chi_{ 39 }(34, \cdot)\)

$39$ $13$ $4$ odd
40.i

\(\chi_{ 40 }(13, \cdot)\) $, $ \(\chi_{ 40 }(37, \cdot)\)

$40$ $40$ $4$ odd
40.j

\(\chi_{ 40 }(7, \cdot)\) $, $ \(\chi_{ 40 }(23, \cdot)\)

$40$ $20$ $4$ even
40.k

\(\chi_{ 40 }(3, \cdot)\) $, $ \(\chi_{ 40 }(27, \cdot)\)

$40$ $40$ $4$ even
40.l

\(\chi_{ 40 }(17, \cdot)\) $, $ \(\chi_{ 40 }(33, \cdot)\)

$40$ $5$ $4$ odd
41.c

\(\chi_{ 41 }(9, \cdot)\) $, $ \(\chi_{ 41 }(32, \cdot)\)

$41$ $41$ $4$ even
45.f

\(\chi_{ 45 }(8, \cdot)\) $, $ \(\chi_{ 45 }(17, \cdot)\)

$45$ $15$ $4$ even
45.g

\(\chi_{ 45 }(28, \cdot)\) $, $ \(\chi_{ 45 }(37, \cdot)\)

$45$ $5$ $4$ odd
48.i

\(\chi_{ 48 }(5, \cdot)\) $, $ \(\chi_{ 48 }(29, \cdot)\)

$48$ $48$ $4$ odd
48.j

\(\chi_{ 48 }(13, \cdot)\) $, $ \(\chi_{ 48 }(37, \cdot)\)

$48$ $16$ $4$ even
48.k

\(\chi_{ 48 }(11, \cdot)\) $, $ \(\chi_{ 48 }(35, \cdot)\)

$48$ $48$ $4$ even
48.l

\(\chi_{ 48 }(19, \cdot)\) $, $ \(\chi_{ 48 }(43, \cdot)\)

$48$ $16$ $4$ odd
50.c

\(\chi_{ 50 }(7, \cdot)\) $, $ \(\chi_{ 50 }(43, \cdot)\)

$50$ $5$ $4$ odd
51.e

\(\chi_{ 51 }(4, \cdot)\) $, $ \(\chi_{ 51 }(13, \cdot)\)

$51$ $17$ $4$ even
51.f

\(\chi_{ 51 }(38, \cdot)\) $, $ \(\chi_{ 51 }(47, \cdot)\)

$51$ $51$ $4$ odd
52.f

\(\chi_{ 52 }(31, \cdot)\) $, $ \(\chi_{ 52 }(47, \cdot)\)

$52$ $52$ $4$ even
52.g

\(\chi_{ 52 }(5, \cdot)\) $, $ \(\chi_{ 52 }(21, \cdot)\)

$52$ $13$ $4$ odd
53.c

\(\chi_{ 53 }(23, \cdot)\) $, $ \(\chi_{ 53 }(30, \cdot)\)

$53$ $53$ $4$ odd
55.e

\(\chi_{ 55 }(32, \cdot)\) $, $ \(\chi_{ 55 }(43, \cdot)\)

$55$ $55$ $4$ even
55.f

\(\chi_{ 55 }(12, \cdot)\) $, $ \(\chi_{ 55 }(23, \cdot)\)

$55$ $5$ $4$ odd
58.c

\(\chi_{ 58 }(17, \cdot)\) $, $ \(\chi_{ 58 }(41, \cdot)\)

$58$ $29$ $4$ odd
60.i

\(\chi_{ 60 }(17, \cdot)\) $, $ \(\chi_{ 60 }(53, \cdot)\)

$60$ $15$ $4$ even
60.j

\(\chi_{ 60 }(7, \cdot)\) $, $ \(\chi_{ 60 }(43, \cdot)\)

$60$ $20$ $4$ even
60.k

\(\chi_{ 60 }(13, \cdot)\) $, $ \(\chi_{ 60 }(37, \cdot)\)

$60$ $5$ $4$ odd
60.l

\(\chi_{ 60 }(23, \cdot)\) $, $ \(\chi_{ 60 }(47, \cdot)\)

$60$ $60$ $4$ odd
61.d

\(\chi_{ 61 }(11, \cdot)\) $, $ \(\chi_{ 61 }(50, \cdot)\)

$61$ $61$ $4$ odd
64.e

\(\chi_{ 64 }(17, \cdot)\) $, $ \(\chi_{ 64 }(49, \cdot)\)

$64$ $16$ $4$ even
64.f

\(\chi_{ 64 }(15, \cdot)\) $, $ \(\chi_{ 64 }(47, \cdot)\)

$64$ $16$ $4$ odd
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