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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.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.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

\(\chi_{ 1001 }(92, \cdot)\) $, $ \(\chi_{ 1001 }(456, \cdot)\) $, $ \(\chi_{ 1001 }(729, \cdot)\) $, $ \(\chi_{ 1001 }(911, \cdot)\)

$1001$ $11$ $5$ even
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.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.z

\(\chi_{ 1001 }(419, \cdot)\) $, $ \(\chi_{ 1001 }(958, \cdot)\)

$1001$ $91$ $6$ odd
1001.bb

\(\chi_{ 1001 }(430, \cdot)\) $, $ \(\chi_{ 1001 }(859, \cdot)\)

$1001$ $7$ $6$ odd
1001.be

\(\chi_{ 1001 }(628, \cdot)\) $, $ \(\chi_{ 1001 }(738, \cdot)\)

$1001$ $91$ $6$ odd
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.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.bp

\(\chi_{ 1001 }(452, \cdot)\) $, $ \(\chi_{ 1001 }(485, \cdot)\)

$1001$ $91$ $6$ even
1001.bs

\(\chi_{ 1001 }(705, \cdot)\) $, $ \(\chi_{ 1001 }(815, \cdot)\)

$1001$ $91$ $6$ odd
1001.bt

\(\chi_{ 1001 }(337, \cdot)\) $, $ \(\chi_{ 1001 }(519, \cdot)\) $, $ \(\chi_{ 1001 }(701, \cdot)\) $, $ \(\chi_{ 1001 }(974, \cdot)\)

$1001$ $143$ $10$ odd
1001.bv

\(\chi_{ 1001 }(27, \cdot)\) $, $ \(\chi_{ 1001 }(300, \cdot)\) $, $ \(\chi_{ 1001 }(482, \cdot)\) $, $ \(\chi_{ 1001 }(664, \cdot)\)

$1001$ $77$ $10$ odd
1001.bw

\(\chi_{ 1001 }(183, \cdot)\) $, $ \(\chi_{ 1001 }(365, \cdot)\) $, $ \(\chi_{ 1001 }(547, \cdot)\) $, $ \(\chi_{ 1001 }(820, \cdot)\)

$1001$ $11$ $10$ odd
1001.bx

\(\chi_{ 1001 }(64, \cdot)\) $, $ \(\chi_{ 1001 }(246, \cdot)\) $, $ \(\chi_{ 1001 }(610, \cdot)\) $, $ \(\chi_{ 1001 }(883, \cdot)\)

$1001$ $143$ $10$ even
1001.bz

\(\chi_{ 1001 }(118, \cdot)\) $, $ \(\chi_{ 1001 }(391, \cdot)\) $, $ \(\chi_{ 1001 }(755, \cdot)\) $, $ \(\chi_{ 1001 }(937, \cdot)\)

$1001$ $77$ $10$ even
1001.cb

\(\chi_{ 1001 }(353, \cdot)\) $, $ \(\chi_{ 1001 }(397, \cdot)\) $, $ \(\chi_{ 1001 }(474, \cdot)\) $, $ \(\chi_{ 1001 }(661, \cdot)\)

$1001$ $91$ $12$ even
1001.cd

\(\chi_{ 1001 }(639, \cdot)\) $, $ \(\chi_{ 1001 }(683, \cdot)\) $, $ \(\chi_{ 1001 }(760, \cdot)\) $, $ \(\chi_{ 1001 }(947, \cdot)\)

$1001$ $91$ $12$ odd
1001.ce

\(\chi_{ 1001 }(197, \cdot)\) $, $ \(\chi_{ 1001 }(505, \cdot)\) $, $ \(\chi_{ 1001 }(813, \cdot)\) $, $ \(\chi_{ 1001 }(890, \cdot)\)

$1001$ $143$ $12$ even
1001.cg

\(\chi_{ 1001 }(232, \cdot)\) $, $ \(\chi_{ 1001 }(540, \cdot)\) $, $ \(\chi_{ 1001 }(617, \cdot)\) $, $ \(\chi_{ 1001 }(925, \cdot)\)

$1001$ $13$ $12$ odd
1001.ch

\(\chi_{ 1001 }(177, \cdot)\) $, $ \(\chi_{ 1001 }(408, \cdot)\) $, $ \(\chi_{ 1001 }(606, \cdot)\) $, $ \(\chi_{ 1001 }(837, \cdot)\)

$1001$ $91$ $12$ odd
1001.ci

\(\chi_{ 1001 }(45, \cdot)\) $, $ \(\chi_{ 1001 }(89, \cdot)\) $, $ \(\chi_{ 1001 }(782, \cdot)\) $, $ \(\chi_{ 1001 }(969, \cdot)\)

$1001$ $91$ $12$ even
1001.ck

\(\chi_{ 1001 }(122, \cdot)\) $, $ \(\chi_{ 1001 }(320, \cdot)\) $, $ \(\chi_{ 1001 }(551, \cdot)\) $, $ \(\chi_{ 1001 }(892, \cdot)\)

$1001$ $91$ $12$ even
1001.cl

\(\chi_{ 1001 }(111, \cdot)\) $, $ \(\chi_{ 1001 }(188, \cdot)\) $, $ \(\chi_{ 1001 }(496, \cdot)\) $, $ \(\chi_{ 1001 }(804, \cdot)\)

$1001$ $91$ $12$ even
1001.co

\(\chi_{ 1001 }(67, \cdot)\) $, $ \(\chi_{ 1001 }(254, \cdot)\) $, $ \(\chi_{ 1001 }(331, \cdot)\) $, $ \(\chi_{ 1001 }(375, \cdot)\)

$1001$ $91$ $12$ odd
1001.cs

\(\chi_{ 1001 }(113, \cdot)\) $, \cdots ,$ \(\chi_{ 1001 }(939, \cdot)\)

$1001$ $143$ $15$ even
1001.ct

\(\chi_{ 1001 }(53, \cdot)\) $, \cdots ,$ \(\chi_{ 1001 }(872, \cdot)\)

$1001$ $77$ $15$ even
1001.cu

\(\chi_{ 1001 }(148, \cdot)\) $, \cdots ,$ \(\chi_{ 1001 }(918, \cdot)\)

$1001$ $143$ $20$ odd
1001.cv

\(\chi_{ 1001 }(8, \cdot)\) $, \cdots ,$ \(\chi_{ 1001 }(876, \cdot)\)

$1001$ $143$ $20$ even
1001.de

\(\chi_{ 1001 }(40, \cdot)\) $, \cdots ,$ \(\chi_{ 1001 }(976, \cdot)\)

$1001$ $77$ $30$ even
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