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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
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