Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Parity |
Primitive |
1001.a |
\(\chi_{1001}(1, \cdot)\)
|
$1001$ |
$1$ |
$1$ |
even |
|
1001.b |
\(\chi_{1001}(846, \cdot)\)
|
$1001$ |
$77$ |
$2$ |
even |
|
1001.c |
\(\chi_{1001}(727, \cdot)\)
|
$1001$ |
$91$ |
$2$ |
odd |
|
1001.d |
\(\chi_{1001}(155, \cdot)\)
|
$1001$ |
$13$ |
$2$ |
even |
|
1001.e |
\(\chi_{1001}(274, \cdot)\)
|
$1001$ |
$11$ |
$2$ |
odd |
|
1001.f |
\(\chi_{1001}(573, \cdot)\)
|
$1001$ |
$7$ |
$2$ |
odd |
|
1001.g |
\(\chi_{1001}(1000, \cdot)\)
|
$1001$ |
$1001$ |
$2$ |
even |
✓ |
1001.h |
\(\chi_{1001}(428, \cdot)\)
|
$1001$ |
$143$ |
$2$ |
odd |
|
1001.i |
\(\chi_{1001}(144, \cdot)\)$,$ \(\chi_{1001}(716, \cdot)\)
|
$1001$ |
$7$ |
$3$ |
even |
|
1001.j |
\(\chi_{1001}(386, \cdot)\)$,$ \(\chi_{1001}(848, \cdot)\)
|
$1001$ |
$13$ |
$3$ |
even |
|
1001.k |
\(\chi_{1001}(100, \cdot)\)$,$ \(\chi_{1001}(991, \cdot)\)
|
$1001$ |
$91$ |
$3$ |
even |
|
1001.l |
\(\chi_{1001}(529, \cdot)\)$,$ \(\chi_{1001}(562, \cdot)\)
|
$1001$ |
$91$ |
$3$ |
even |
|
1001.m |
\(\chi_{1001}(307, \cdot)\)$,$ \(\chi_{1001}(538, \cdot)\)
|
$1001$ |
$1001$ |
$4$ |
odd |
✓ |
1001.n |
\(\chi_{1001}(34, \cdot)\)$,$ \(\chi_{1001}(265, \cdot)\)
|
$1001$ |
$91$ |
$4$ |
even |
|
1001.o |
\(\chi_{1001}(463, \cdot)\)$,$ \(\chi_{1001}(694, \cdot)\)
|
$1001$ |
$13$ |
$4$ |
odd |
|
1001.p |
\(\chi_{1001}(736, \cdot)\)$,$ \(\chi_{1001}(967, \cdot)\)
|
$1001$ |
$143$ |
$4$ |
even |
|
1001.q |
\(\chi_{1001}(92, \cdot)\)$, \cdots ,$\(\chi_{1001}(911, \cdot)\)
|
$1001$ |
$11$ |
$5$ |
even |
|
1001.r |
\(\chi_{1001}(802, \cdot)\)$,$ \(\chi_{1001}(835, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
odd |
✓ |
1001.s |
\(\chi_{1001}(23, \cdot)\)$,$ \(\chi_{1001}(914, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
even |
|
1001.t |
\(\chi_{1001}(166, \cdot)\)$,$ \(\chi_{1001}(199, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
odd |
|
1001.u |
\(\chi_{1001}(87, \cdot)\)$,$ \(\chi_{1001}(978, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
even |
✓ |
1001.v |
\(\chi_{1001}(10, \cdot)\)$,$ \(\chi_{1001}(901, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
even |
✓ |
1001.w |
\(\chi_{1001}(243, \cdot)\)$,$ \(\chi_{1001}(276, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
odd |
|
1001.x |
\(\chi_{1001}(43, \cdot)\)$,$ \(\chi_{1001}(582, \cdot)\)
|
$1001$ |
$143$ |
$6$ |
odd |
|
1001.y |
\(\chi_{1001}(142, \cdot)\)$,$ \(\chi_{1001}(571, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
odd |
✓ |
1001.z |
\(\chi_{1001}(419, \cdot)\)$,$ \(\chi_{1001}(958, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
odd |
|
1001.ba |
\(\chi_{1001}(285, \cdot)\)$,$ \(\chi_{1001}(857, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
even |
✓ |
1001.bb |
\(\chi_{1001}(430, \cdot)\)$,$ \(\chi_{1001}(859, \cdot)\)
|
$1001$ |
$7$ |
$6$ |
odd |
|
1001.bc |
\(\chi_{1001}(153, \cdot)\)$,$ \(\chi_{1001}(615, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
even |
✓ |
1001.bd |
\(\chi_{1001}(725, \cdot)\)$,$ \(\chi_{1001}(758, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
odd |
✓ |
1001.be |
\(\chi_{1001}(628, \cdot)\)$,$ \(\chi_{1001}(738, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
odd |
|
1001.bf |
\(\chi_{1001}(516, \cdot)\)$,$ \(\chi_{1001}(549, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
even |
✓ |
1001.bg |
\(\chi_{1001}(309, \cdot)\)$,$ \(\chi_{1001}(771, \cdot)\)
|
$1001$ |
$13$ |
$6$ |
even |
|
1001.bh |
\(\chi_{1001}(417, \cdot)\)$,$ \(\chi_{1001}(989, \cdot)\)
|
$1001$ |
$77$ |
$6$ |
odd |
|
1001.bi |
\(\chi_{1001}(298, \cdot)\)$,$ \(\chi_{1001}(870, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
even |
|
1001.bj |
\(\chi_{1001}(120, \cdot)\)$,$ \(\chi_{1001}(659, \cdot)\)
|
$1001$ |
$143$ |
$6$ |
odd |
|
1001.bk |
\(\chi_{1001}(230, \cdot)\)$,$ \(\chi_{1001}(692, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
even |
✓ |
1001.bl |
\(\chi_{1001}(12, \cdot)\)$,$ \(\chi_{1001}(584, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
odd |
|
1001.bm |
\(\chi_{1001}(131, \cdot)\)$,$ \(\chi_{1001}(703, \cdot)\)
|
$1001$ |
$77$ |
$6$ |
even |
|
1001.bn |
\(\chi_{1001}(342, \cdot)\)$,$ \(\chi_{1001}(881, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
odd |
|
1001.bo |
\(\chi_{1001}(263, \cdot)\)$,$ \(\chi_{1001}(373, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
odd |
✓ |
1001.bp |
\(\chi_{1001}(452, \cdot)\)$,$ \(\chi_{1001}(485, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
even |
|
1001.bq |
\(\chi_{1001}(186, \cdot)\)$,$ \(\chi_{1001}(296, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
odd |
✓ |
1001.br |
\(\chi_{1001}(439, \cdot)\)$,$ \(\chi_{1001}(472, \cdot)\)
|
$1001$ |
$1001$ |
$6$ |
even |
✓ |
1001.bs |
\(\chi_{1001}(705, \cdot)\)$,$ \(\chi_{1001}(815, \cdot)\)
|
$1001$ |
$91$ |
$6$ |
odd |
|
1001.bt |
\(\chi_{1001}(337, \cdot)\)$, \cdots ,$\(\chi_{1001}(974, \cdot)\)
|
$1001$ |
$143$ |
$10$ |
odd |
|
1001.bu |
\(\chi_{1001}(90, \cdot)\)$, \cdots ,$\(\chi_{1001}(909, \cdot)\)
|
$1001$ |
$1001$ |
$10$ |
even |
✓ |
1001.bv |
\(\chi_{1001}(27, \cdot)\)$, \cdots ,$\(\chi_{1001}(664, \cdot)\)
|
$1001$ |
$77$ |
$10$ |
odd |
|
1001.bw |
\(\chi_{1001}(183, \cdot)\)$, \cdots ,$\(\chi_{1001}(820, \cdot)\)
|
$1001$ |
$11$ |
$10$ |
odd |
|
1001.bx |
\(\chi_{1001}(64, \cdot)\)$, \cdots ,$\(\chi_{1001}(883, \cdot)\)
|
$1001$ |
$143$ |
$10$ |
even |
|