Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Parity |
Real |
Primitive |
Minimal |
1002.f |
\(\chi_{1002}(5, \cdot)\)$, \cdots ,$\(\chi_{1002}(995, \cdot)\)
|
$1002$ |
$501$ |
$166$ |
even |
|
|
✓ |
1002.g |
\(\chi_{1002}(13, \cdot)\)$, \cdots ,$\(\chi_{1002}(991, \cdot)\)
|
$1002$ |
$167$ |
$166$ |
odd |
|
|
✓ |
1002.h |
\(\chi_{1002}(11, \cdot)\)$, \cdots ,$\(\chi_{1002}(989, \cdot)\)
|
$1002$ |
$501$ |
$166$ |
odd |
|
|
✓ |
1003.o |
\(\chi_{1003}(13, \cdot)\)$, \cdots ,$\(\chi_{1003}(999, \cdot)\)
|
$1003$ |
$1003$ |
$116$ |
odd |
|
✓ |
✓ |
1003.p |
\(\chi_{1003}(4, \cdot)\)$, \cdots ,$\(\chi_{1003}(990, \cdot)\)
|
$1003$ |
$1003$ |
$116$ |
even |
|
✓ |
✓ |
1003.q |
\(\chi_{1003}(2, \cdot)\)$, \cdots ,$\(\chi_{1003}(994, \cdot)\)
|
$1003$ |
$1003$ |
$232$ |
odd |
|
✓ |
✓ |
1003.r |
\(\chi_{1003}(9, \cdot)\)$, \cdots ,$\(\chi_{1003}(1001, \cdot)\)
|
$1003$ |
$1003$ |
$232$ |
even |
|
✓ |
✓ |
1003.s |
\(\chi_{1003}(3, \cdot)\)$, \cdots ,$\(\chi_{1003}(997, \cdot)\)
|
$1003$ |
$1003$ |
$464$ |
odd |
|
✓ |
✓ |
1003.t |
\(\chi_{1003}(6, \cdot)\)$, \cdots ,$\(\chi_{1003}(1000, \cdot)\)
|
$1003$ |
$1003$ |
$464$ |
even |
|
✓ |
✓ |
1004.m |
\(\chi_{1004}(9, \cdot)\)$, \cdots ,$\(\chi_{1004}(993, \cdot)\)
|
$1004$ |
$251$ |
$125$ |
even |
|
|
✓ |
1004.n |
\(\chi_{1004}(29, \cdot)\)$, \cdots ,$\(\chi_{1004}(1001, \cdot)\)
|
$1004$ |
$251$ |
$250$ |
odd |
|
|
✓ |
1004.o |
\(\chi_{1004}(11, \cdot)\)$, \cdots ,$\(\chi_{1004}(995, \cdot)\)
|
$1004$ |
$1004$ |
$250$ |
even |
|
✓ |
✓ |
1004.p |
\(\chi_{1004}(3, \cdot)\)$, \cdots ,$\(\chi_{1004}(975, \cdot)\)
|
$1004$ |
$1004$ |
$250$ |
odd |
|
✓ |
✓ |
1005.bs |
\(\chi_{1005}(17, \cdot)\)$, \cdots ,$\(\chi_{1005}(998, \cdot)\)
|
$1005$ |
$1005$ |
$132$ |
even |
|
✓ |
✓ |
1005.bt |
\(\chi_{1005}(7, \cdot)\)$, \cdots ,$\(\chi_{1005}(988, \cdot)\)
|
$1005$ |
$335$ |
$132$ |
even |
|
|
✓ |
1005.bu |
\(\chi_{1005}(2, \cdot)\)$, \cdots ,$\(\chi_{1005}(932, \cdot)\)
|
$1005$ |
$1005$ |
$132$ |
odd |
|
✓ |
✓ |
1005.bv |
\(\chi_{1005}(73, \cdot)\)$, \cdots ,$\(\chi_{1005}(1003, \cdot)\)
|
$1005$ |
$335$ |
$132$ |
odd |
|
|
✓ |
1006.c |
\(\chi_{1006}(3, \cdot)\)$, \cdots ,$\(\chi_{1006}(1001, \cdot)\)
|
$1006$ |
$503$ |
$251$ |
even |
|
|
✓ |
1006.d |
\(\chi_{1006}(5, \cdot)\)$, \cdots ,$\(\chi_{1006}(1003, \cdot)\)
|
$1006$ |
$503$ |
$502$ |
odd |
|
|
✓ |
1007.bc |
\(\chi_{1007}(16, \cdot)\)$, \cdots ,$\(\chi_{1007}(978, \cdot)\)
|
$1007$ |
$1007$ |
$117$ |
even |
|
✓ |
✓ |
1007.bd |
\(\chi_{1007}(8, \cdot)\)$, \cdots ,$\(\chi_{1007}(981, \cdot)\)
|
$1007$ |
$1007$ |
$156$ |
even |
|
✓ |
✓ |
1007.be |
\(\chi_{1007}(26, \cdot)\)$, \cdots ,$\(\chi_{1007}(999, \cdot)\)
|
$1007$ |
$1007$ |
$156$ |
odd |
|
✓ |
✓ |
1007.bf |
\(\chi_{1007}(10, \cdot)\)$, \cdots ,$\(\chi_{1007}(1003, \cdot)\)
|
$1007$ |
$1007$ |
$234$ |
odd |
|
✓ |
✓ |
1007.bg |
\(\chi_{1007}(4, \cdot)\)$, \cdots ,$\(\chi_{1007}(997, \cdot)\)
|
$1007$ |
$1007$ |
$234$ |
even |
|
✓ |
✓ |
1007.bh |
\(\chi_{1007}(29, \cdot)\)$, \cdots ,$\(\chi_{1007}(991, \cdot)\)
|
$1007$ |
$1007$ |
$234$ |
odd |
|
✓ |
✓ |
1007.bi |
\(\chi_{1007}(2, \cdot)\)$, \cdots ,$\(\chi_{1007}(1002, \cdot)\)
|
$1007$ |
$1007$ |
$468$ |
even |
|
✓ |
✓ |
1007.bj |
\(\chi_{1007}(5, \cdot)\)$, \cdots ,$\(\chi_{1007}(1005, \cdot)\)
|
$1007$ |
$1007$ |
$468$ |
odd |
|
✓ |
✓ |
1009.w |
\(\chi_{1009}(39, \cdot)\)$, \cdots ,$\(\chi_{1009}(970, \cdot)\)
|
$1009$ |
$1009$ |
$112$ |
odd |
|
✓ |
✓ |
1009.x |
\(\chi_{1009}(16, \cdot)\)$, \cdots ,$\(\chi_{1009}(981, \cdot)\)
|
$1009$ |
$1009$ |
$126$ |
even |
|
✓ |
✓ |
1009.y |
\(\chi_{1009}(93, \cdot)\)$, \cdots ,$\(\chi_{1009}(916, \cdot)\)
|
$1009$ |
$1009$ |
$144$ |
odd |
|
✓ |
✓ |
1009.z |
\(\chi_{1009}(3, \cdot)\)$, \cdots ,$\(\chi_{1009}(1006, \cdot)\)
|
$1009$ |
$1009$ |
$168$ |
even |
|
✓ |
✓ |
1009.ba |
\(\chi_{1009}(4, \cdot)\)$, \cdots ,$\(\chi_{1009}(1005, \cdot)\)
|
$1009$ |
$1009$ |
$252$ |
even |
|
✓ |
✓ |
1009.bb |
\(\chi_{1009}(23, \cdot)\)$, \cdots ,$\(\chi_{1009}(986, \cdot)\)
|
$1009$ |
$1009$ |
$336$ |
odd |
|
✓ |
✓ |
1009.bc |
\(\chi_{1009}(2, \cdot)\)$, \cdots ,$\(\chi_{1009}(1007, \cdot)\)
|
$1009$ |
$1009$ |
$504$ |
even |
|
✓ |
✓ |
1011.bi |
\(\chi_{1011}(58, \cdot)\)$, \cdots ,$\(\chi_{1011}(1006, \cdot)\)
|
$1011$ |
$337$ |
$112$ |
odd |
|
|
✓ |
1011.bj |
\(\chi_{1011}(5, \cdot)\)$, \cdots ,$\(\chi_{1011}(953, \cdot)\)
|
$1011$ |
$1011$ |
$112$ |
even |
|
✓ |
✓ |
1011.bk |
\(\chi_{1011}(14, \cdot)\)$, \cdots ,$\(\chi_{1011}(983, \cdot)\)
|
$1011$ |
$1011$ |
$168$ |
odd |
|
✓ |
✓ |
1011.bl |
\(\chi_{1011}(28, \cdot)\)$, \cdots ,$\(\chi_{1011}(997, \cdot)\)
|
$1011$ |
$337$ |
$168$ |
even |
|
|
✓ |
1011.bm |
\(\chi_{1011}(20, \cdot)\)$, \cdots ,$\(\chi_{1011}(1001, \cdot)\)
|
$1011$ |
$1011$ |
$336$ |
even |
|
✓ |
✓ |
1011.bn |
\(\chi_{1011}(10, \cdot)\)$, \cdots ,$\(\chi_{1011}(991, \cdot)\)
|
$1011$ |
$337$ |
$336$ |
odd |
|
|
✓ |
1012.z |
\(\chi_{1012}(7, \cdot)\)$, \cdots ,$\(\chi_{1012}(1003, \cdot)\)
|
$1012$ |
$1012$ |
$110$ |
odd |
|
✓ |
✓ |
1012.ba |
\(\chi_{1012}(15, \cdot)\)$, \cdots ,$\(\chi_{1012}(999, \cdot)\)
|
$1012$ |
$1012$ |
$110$ |
even |
|
✓ |
✓ |
1012.bb |
\(\chi_{1012}(3, \cdot)\)$, \cdots ,$\(\chi_{1012}(995, \cdot)\)
|
$1012$ |
$1012$ |
$110$ |
odd |
|
✓ |
✓ |
1012.bc |
\(\chi_{1012}(35, \cdot)\)$, \cdots ,$\(\chi_{1012}(1007, \cdot)\)
|
$1012$ |
$1012$ |
$110$ |
even |
|
✓ |
✓ |
1012.bd |
\(\chi_{1012}(5, \cdot)\)$, \cdots ,$\(\chi_{1012}(977, \cdot)\)
|
$1012$ |
$253$ |
$110$ |
odd |
|
|
✓ |
1012.be |
\(\chi_{1012}(17, \cdot)\)$, \cdots ,$\(\chi_{1012}(1009, \cdot)\)
|
$1012$ |
$253$ |
$110$ |
even |
|
|
✓ |
1012.bf |
\(\chi_{1012}(13, \cdot)\)$, \cdots ,$\(\chi_{1012}(997, \cdot)\)
|
$1012$ |
$253$ |
$110$ |
odd |
|
|
✓ |
1013.j |
\(\chi_{1013}(6, \cdot)\)$, \cdots ,$\(\chi_{1013}(1004, \cdot)\)
|
$1013$ |
$1013$ |
$253$ |
even |
|
✓ |
✓ |
1013.k |
\(\chi_{1013}(9, \cdot)\)$, \cdots ,$\(\chi_{1013}(1007, \cdot)\)
|
$1013$ |
$1013$ |
$506$ |
even |
|
✓ |
✓ |
1014.w |
\(\chi_{1014}(7, \cdot)\)$, \cdots ,$\(\chi_{1014}(1003, \cdot)\)
|
$1014$ |
$169$ |
$156$ |
odd |
|
|
✓ |