Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Parity |
Real |
Primitive |
Minimal |
13.f |
\(\chi_{13}(2, \cdot)\)$, \cdots ,$\(\chi_{13}(11, \cdot)\)
|
$13$ |
$13$ |
$12$ |
odd |
|
✓ |
✓ |
17.e |
\(\chi_{17}(3, \cdot)\)$, \cdots ,$\(\chi_{17}(14, \cdot)\)
|
$17$ |
$17$ |
$16$ |
odd |
|
✓ |
✓ |
19.f |
\(\chi_{19}(2, \cdot)\)$, \cdots ,$\(\chi_{19}(15, \cdot)\)
|
$19$ |
$19$ |
$18$ |
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 |
|
✓ |
✓ |
25.f |
\(\chi_{25}(2, \cdot)\)$, \cdots ,$\(\chi_{25}(23, \cdot)\)
|
$25$ |
$25$ |
$20$ |
odd |
|
✓ |
✓ |
26.f |
\(\chi_{26}(7, \cdot)\)$, \cdots ,$\(\chi_{26}(19, \cdot)\)
|
$26$ |
$13$ |
$12$ |
odd |
|
|
✓ |
27.f |
\(\chi_{27}(2, \cdot)\)$, \cdots ,$\(\chi_{27}(23, \cdot)\)
|
$27$ |
$27$ |
$18$ |
odd |
|
✓ |
✓ |
29.e |
\(\chi_{29}(4, \cdot)\)$, \cdots ,$\(\chi_{29}(22, \cdot)\)
|
$29$ |
$29$ |
$14$ |
even |
|
✓ |
✓ |
29.f |
\(\chi_{29}(2, \cdot)\)$, \cdots ,$\(\chi_{29}(27, \cdot)\)
|
$29$ |
$29$ |
$28$ |
odd |
|
✓ |
✓ |
31.g |
\(\chi_{31}(7, \cdot)\)$, \cdots ,$\(\chi_{31}(28, \cdot)\)
|
$31$ |
$31$ |
$15$ |
even |
|
✓ |
✓ |
31.h |
\(\chi_{31}(3, \cdot)\)$, \cdots ,$\(\chi_{31}(24, \cdot)\)
|
$31$ |
$31$ |
$30$ |
odd |
|
✓ |
✓ |
34.e |
\(\chi_{34}(3, \cdot)\)$, \cdots ,$\(\chi_{34}(31, \cdot)\)
|
$34$ |
$17$ |
$16$ |
odd |
|
|
✓ |
35.k |
\(\chi_{35}(3, \cdot)\)$, \cdots ,$\(\chi_{35}(33, \cdot)\)
|
$35$ |
$35$ |
$12$ |
even |
|
✓ |
✓ |
35.l |
\(\chi_{35}(2, \cdot)\)$, \cdots ,$\(\chi_{35}(32, \cdot)\)
|
$35$ |
$35$ |
$12$ |
odd |
|
✓ |
✓ |
37.g |
\(\chi_{37}(8, \cdot)\)$, \cdots ,$\(\chi_{37}(29, \cdot)\)
|
$37$ |
$37$ |
$12$ |
odd |
|
✓ |
✓ |
37.h |
\(\chi_{37}(3, \cdot)\)$, \cdots ,$\(\chi_{37}(30, \cdot)\)
|
$37$ |
$37$ |
$18$ |
even |
|
✓ |
✓ |
37.i |
\(\chi_{37}(2, \cdot)\)$, \cdots ,$\(\chi_{37}(35, \cdot)\)
|
$37$ |
$37$ |
$36$ |
odd |
|
✓ |
✓ |
38.f |
\(\chi_{38}(3, \cdot)\)$, \cdots ,$\(\chi_{38}(33, \cdot)\)
|
$38$ |
$19$ |
$18$ |
odd |
|
|
✓ |
39.k |
\(\chi_{39}(2, \cdot)\)$, \cdots ,$\(\chi_{39}(32, \cdot)\)
|
$39$ |
$39$ |
$12$ |
even |
|
✓ |
✓ |
39.l |
\(\chi_{39}(7, \cdot)\)$, \cdots ,$\(\chi_{39}(37, \cdot)\)
|
$39$ |
$13$ |
$12$ |
odd |
|
|
✓ |
41.g |
\(\chi_{41}(2, \cdot)\)$, \cdots ,$\(\chi_{41}(39, \cdot)\)
|
$41$ |
$41$ |
$20$ |
even |
|
✓ |
✓ |
41.h |
\(\chi_{41}(6, \cdot)\)$, \cdots ,$\(\chi_{41}(35, \cdot)\)
|
$41$ |
$41$ |
$40$ |
odd |
|
✓ |
✓ |
43.f |
\(\chi_{43}(2, \cdot)\)$, \cdots ,$\(\chi_{43}(39, \cdot)\)
|
$43$ |
$43$ |
$14$ |
odd |
|
✓ |
✓ |
43.g |
\(\chi_{43}(9, \cdot)\)$, \cdots ,$\(\chi_{43}(40, \cdot)\)
|
$43$ |
$43$ |
$21$ |
even |
|
✓ |
✓ |
43.h |
\(\chi_{43}(3, \cdot)\)$, \cdots ,$\(\chi_{43}(34, \cdot)\)
|
$43$ |
$43$ |
$42$ |
odd |
|
✓ |
✓ |
45.k |
\(\chi_{45}(7, \cdot)\)$, \cdots ,$\(\chi_{45}(43, \cdot)\)
|
$45$ |
$45$ |
$12$ |
odd |
|
✓ |
✓ |
45.l |
\(\chi_{45}(2, \cdot)\)$, \cdots ,$\(\chi_{45}(38, \cdot)\)
|
$45$ |
$45$ |
$12$ |
even |
|
✓ |
✓ |
46.c |
\(\chi_{46}(3, \cdot)\)$, \cdots ,$\(\chi_{46}(41, \cdot)\)
|
$46$ |
$23$ |
$11$ |
even |
|
|
✓ |
46.d |
\(\chi_{46}(5, \cdot)\)$, \cdots ,$\(\chi_{46}(43, \cdot)\)
|
$46$ |
$23$ |
$22$ |
odd |
|
|
✓ |
47.c |
\(\chi_{47}(2, \cdot)\)$, \cdots ,$\(\chi_{47}(42, \cdot)\)
|
$47$ |
$47$ |
$23$ |
even |
|
✓ |
✓ |
47.d |
\(\chi_{47}(5, \cdot)\)$, \cdots ,$\(\chi_{47}(45, \cdot)\)
|
$47$ |
$47$ |
$46$ |
odd |
|
✓ |
✓ |
49.f |
\(\chi_{49}(6, \cdot)\)$, \cdots ,$\(\chi_{49}(41, \cdot)\)
|
$49$ |
$49$ |
$14$ |
odd |
|
✓ |
✓ |
49.g |
\(\chi_{49}(2, \cdot)\)$, \cdots ,$\(\chi_{49}(46, \cdot)\)
|
$49$ |
$49$ |
$21$ |
even |
|
✓ |
✓ |
49.h |
\(\chi_{49}(3, \cdot)\)$, \cdots ,$\(\chi_{49}(47, \cdot)\)
|
$49$ |
$49$ |
$42$ |
odd |
|
✓ |
✓ |
50.f |
\(\chi_{50}(3, \cdot)\)$, \cdots ,$\(\chi_{50}(47, \cdot)\)
|
$50$ |
$25$ |
$20$ |
odd |
|
|
✓ |
51.i |
\(\chi_{51}(5, \cdot)\)$, \cdots ,$\(\chi_{51}(44, \cdot)\)
|
$51$ |
$51$ |
$16$ |
even |
|
✓ |
✓ |
51.j |
\(\chi_{51}(7, \cdot)\)$, \cdots ,$\(\chi_{51}(46, \cdot)\)
|
$51$ |
$17$ |
$16$ |
odd |
|
|
✓ |
52.k |
\(\chi_{52}(33, \cdot)\)$, \cdots ,$\(\chi_{52}(45, \cdot)\)
|
$52$ |
$13$ |
$12$ |
odd |
|
|
✓ |
52.l |
\(\chi_{52}(7, \cdot)\)$, \cdots ,$\(\chi_{52}(19, \cdot)\)
|
$52$ |
$52$ |
$12$ |
even |
|
✓ |
✓ |
53.d |
\(\chi_{53}(10, \cdot)\)$, \cdots ,$\(\chi_{53}(49, \cdot)\)
|
$53$ |
$53$ |
$13$ |
even |
|
✓ |
✓ |
53.e |
\(\chi_{53}(4, \cdot)\)$, \cdots ,$\(\chi_{53}(43, \cdot)\)
|
$53$ |
$53$ |
$26$ |
even |
|
✓ |
✓ |
53.f |
\(\chi_{53}(2, \cdot)\)$, \cdots ,$\(\chi_{53}(51, \cdot)\)
|
$53$ |
$53$ |
$52$ |
odd |
|
✓ |
✓ |
54.f |
\(\chi_{54}(5, \cdot)\)$, \cdots ,$\(\chi_{54}(47, \cdot)\)
|
$54$ |
$27$ |
$18$ |
odd |
|
|
✓ |
55.k |
\(\chi_{55}(3, \cdot)\)$, \cdots ,$\(\chi_{55}(53, \cdot)\)
|
$55$ |
$55$ |
$20$ |
odd |
|
✓ |
✓ |
55.l |
\(\chi_{55}(2, \cdot)\)$, \cdots ,$\(\chi_{55}(52, \cdot)\)
|
$55$ |
$55$ |
$20$ |
even |
|
✓ |
✓ |
57.j |
\(\chi_{57}(2, \cdot)\)$, \cdots ,$\(\chi_{57}(53, \cdot)\)
|
$57$ |
$57$ |
$18$ |
even |
|
✓ |
✓ |
57.k |
\(\chi_{57}(10, \cdot)\)$, \cdots ,$\(\chi_{57}(52, \cdot)\)
|
$57$ |
$19$ |
$18$ |
odd |
|
|
✓ |
57.l |
\(\chi_{57}(5, \cdot)\)$, \cdots ,$\(\chi_{57}(47, \cdot)\)
|
$57$ |
$57$ |
$18$ |
odd |
|
✓ |
✓ |
58.e |
\(\chi_{58}(5, \cdot)\)$, \cdots ,$\(\chi_{58}(51, \cdot)\)
|
$58$ |
$29$ |
$14$ |
even |
|
|
✓ |