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 |
|