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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
1000.ba

\(\chi_{1000}(19, \cdot)\)$, \cdots ,$\(\chi_{1000}(979, \cdot)\)

$1000$ $1000$ $50$ \(\Q(\zeta_{25})\) odd
1000.bb

\(\chi_{1000}(21, \cdot)\)$, \cdots ,$\(\chi_{1000}(981, \cdot)\)

$1000$ $1000$ $50$ \(\Q(\zeta_{25})\) even
1000.bc

\(\chi_{1000}(11, \cdot)\)$, \cdots ,$\(\chi_{1000}(971, \cdot)\)

$1000$ $1000$ $50$ \(\Q(\zeta_{25})\) odd
1000.bd

\(\chi_{1000}(29, \cdot)\)$, \cdots ,$\(\chi_{1000}(989, \cdot)\)

$1000$ $1000$ $50$ \(\Q(\zeta_{25})\) even
1000.bh

\(\chi_{1000}(3, \cdot)\)$, \cdots ,$\(\chi_{1000}(987, \cdot)\)

$1000$ $1000$ $100$ $\Q(\zeta_{100})$ even
1000.bj

\(\chi_{1000}(13, \cdot)\)$, \cdots ,$\(\chi_{1000}(997, \cdot)\)

$1000$ $1000$ $100$ $\Q(\zeta_{100})$ odd
1001.g

\(\chi_{1001}(1000, \cdot)\)

$1001$ $1001$ $2$ \(\Q\) even
1001.m

\(\chi_{1001}(307, \cdot)\)$,$ \(\chi_{1001}(538, \cdot)\)

$1001$ $1001$ $4$ \(\mathbb{Q}(i)\) odd
1001.r

\(\chi_{1001}(802, \cdot)\)$,$ \(\chi_{1001}(835, \cdot)\)

$1001$ $1001$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1001.u

\(\chi_{1001}(87, \cdot)\)$,$ \(\chi_{1001}(978, \cdot)\)

$1001$ $1001$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1001.v

\(\chi_{1001}(10, \cdot)\)$,$ \(\chi_{1001}(901, \cdot)\)

$1001$ $1001$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1001.y

\(\chi_{1001}(142, \cdot)\)$,$ \(\chi_{1001}(571, \cdot)\)

$1001$ $1001$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1001.ba

\(\chi_{1001}(285, \cdot)\)$,$ \(\chi_{1001}(857, \cdot)\)

$1001$ $1001$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1001.bc

\(\chi_{1001}(153, \cdot)\)$,$ \(\chi_{1001}(615, \cdot)\)

$1001$ $1001$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1001.bd

\(\chi_{1001}(725, \cdot)\)$,$ \(\chi_{1001}(758, \cdot)\)

$1001$ $1001$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1001.bf

\(\chi_{1001}(516, \cdot)\)$,$ \(\chi_{1001}(549, \cdot)\)

$1001$ $1001$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1001.bk

\(\chi_{1001}(230, \cdot)\)$,$ \(\chi_{1001}(692, \cdot)\)

$1001$ $1001$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1001.bo

\(\chi_{1001}(263, \cdot)\)$,$ \(\chi_{1001}(373, \cdot)\)

$1001$ $1001$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1001.bq

\(\chi_{1001}(186, \cdot)\)$,$ \(\chi_{1001}(296, \cdot)\)

$1001$ $1001$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1001.br

\(\chi_{1001}(439, \cdot)\)$,$ \(\chi_{1001}(472, \cdot)\)

$1001$ $1001$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1001.bu

\(\chi_{1001}(90, \cdot)\)$, \cdots ,$\(\chi_{1001}(909, \cdot)\)

$1001$ $1001$ $10$ \(\Q(\zeta_{5})\) even
1001.by

\(\chi_{1001}(181, \cdot)\)$, \cdots ,$\(\chi_{1001}(818, \cdot)\)

$1001$ $1001$ $10$ \(\Q(\zeta_{5})\) odd
1001.ca

\(\chi_{1001}(626, \cdot)\)$, \cdots ,$\(\chi_{1001}(934, \cdot)\)

$1001$ $1001$ $12$ \(\Q(\zeta_{12})\) odd
1001.cc

\(\chi_{1001}(32, \cdot)\)$, \cdots ,$\(\chi_{1001}(956, \cdot)\)

$1001$ $1001$ $12$ \(\Q(\zeta_{12})\) even
1001.cf

\(\chi_{1001}(109, \cdot)\)$, \cdots ,$\(\chi_{1001}(879, \cdot)\)

$1001$ $1001$ $12$ \(\Q(\zeta_{12})\) even
1001.cj

\(\chi_{1001}(54, \cdot)\)$, \cdots ,$\(\chi_{1001}(362, \cdot)\)

$1001$ $1001$ $12$ \(\Q(\zeta_{12})\) odd
1001.cm

\(\chi_{1001}(164, \cdot)\)$, \cdots ,$\(\chi_{1001}(824, \cdot)\)

$1001$ $1001$ $12$ \(\Q(\zeta_{12})\) odd
1001.cn

\(\chi_{1001}(76, \cdot)\)$, \cdots ,$\(\chi_{1001}(769, \cdot)\)

$1001$ $1001$ $12$ \(\Q(\zeta_{12})\) odd
1001.cp

\(\chi_{1001}(340, \cdot)\)$, \cdots ,$\(\chi_{1001}(648, \cdot)\)

$1001$ $1001$ $12$ \(\Q(\zeta_{12})\) even
1001.cq

\(\chi_{1001}(16, \cdot)\)$, \cdots ,$\(\chi_{1001}(984, \cdot)\)

$1001$ $1001$ $15$ \(\Q(\zeta_{15})\) even
1001.cr

\(\chi_{1001}(9, \cdot)\)$, \cdots ,$\(\chi_{1001}(900, \cdot)\)

$1001$ $1001$ $15$ \(\Q(\zeta_{15})\) even
1001.cw

\(\chi_{1001}(83, \cdot)\)$, \cdots ,$\(\chi_{1001}(853, \cdot)\)

$1001$ $1001$ $20$ \(\Q(\zeta_{20})\) odd
1001.cx

\(\chi_{1001}(125, \cdot)\)$, \cdots ,$\(\chi_{1001}(993, \cdot)\)

$1001$ $1001$ $20$ \(\Q(\zeta_{20})\) even
1001.cy

\(\chi_{1001}(159, \cdot)\)$, \cdots ,$\(\chi_{1001}(906, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) odd
1001.cz

\(\chi_{1001}(17, \cdot)\)$, \cdots ,$\(\chi_{1001}(985, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) even
1001.da

\(\chi_{1001}(95, \cdot)\)$, \cdots ,$\(\chi_{1001}(842, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) odd
1001.db

\(\chi_{1001}(179, \cdot)\)$, \cdots ,$\(\chi_{1001}(940, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) even
1001.dc

\(\chi_{1001}(172, \cdot)\)$, \cdots ,$\(\chi_{1001}(919, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) odd
1001.dd

\(\chi_{1001}(69, \cdot)\)$, \cdots ,$\(\chi_{1001}(972, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) odd
1001.df

\(\chi_{1001}(38, \cdot)\)$, \cdots ,$\(\chi_{1001}(922, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) odd
1001.dg

\(\chi_{1001}(139, \cdot)\)$, \cdots ,$\(\chi_{1001}(965, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) even
1001.di

\(\chi_{1001}(25, \cdot)\)$, \cdots ,$\(\chi_{1001}(961, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) even
1001.dl

\(\chi_{1001}(61, \cdot)\)$, \cdots ,$\(\chi_{1001}(822, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) even
1001.dm

\(\chi_{1001}(82, \cdot)\)$, \cdots ,$\(\chi_{1001}(829, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) odd
1001.dn

\(\chi_{1001}(30, \cdot)\)$, \cdots ,$\(\chi_{1001}(998, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) odd
1001.do

\(\chi_{1001}(62, \cdot)\)$, \cdots ,$\(\chi_{1001}(888, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) even
1001.dq

\(\chi_{1001}(129, \cdot)\)$, \cdots ,$\(\chi_{1001}(948, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) even
1001.dr

\(\chi_{1001}(48, \cdot)\)$, \cdots ,$\(\chi_{1001}(874, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) odd
1001.ds

\(\chi_{1001}(51, \cdot)\)$, \cdots ,$\(\chi_{1001}(844, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) odd
1001.du

\(\chi_{1001}(3, \cdot)\)$, \cdots ,$\(\chi_{1001}(971, \cdot)\)

$1001$ $1001$ $30$ \(\Q(\zeta_{15})\) odd
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