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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
416.a

\(\chi_{416}(1, \cdot)\)

$416$ $1$ $1$ \(\Q\) even
416.b

\(\chi_{416}(209, \cdot)\)

$416$ $8$ $2$ \(\Q\) even
416.c

\(\chi_{416}(415, \cdot)\)

$416$ $52$ $2$ \(\Q\) odd
416.d

\(\chi_{416}(287, \cdot)\)

$416$ $4$ $2$ \(\Q\) odd
416.e

\(\chi_{416}(337, \cdot)\)

$416$ $104$ $2$ \(\Q\) even
416.f

\(\chi_{416}(129, \cdot)\)

$416$ $13$ $2$ \(\Q\) even
416.g

\(\chi_{416}(79, \cdot)\)

$416$ $8$ $2$ \(\Q\) odd
416.h

\(\chi_{416}(207, \cdot)\)

$416$ $104$ $2$ \(\Q\) odd
416.i

\(\chi_{416}(289, \cdot)\)$,$ \(\chi_{416}(321, \cdot)\)

$416$ $13$ $3$ \(\mathbb{Q}(\zeta_3)\) even
416.j

\(\chi_{416}(177, \cdot)\)$,$ \(\chi_{416}(369, \cdot)\)

$416$ $104$ $4$ \(\mathbb{Q}(i)\) odd
416.k

\(\chi_{416}(31, \cdot)\)$,$ \(\chi_{416}(255, \cdot)\)

$416$ $52$ $4$ \(\mathbb{Q}(i)\) even
416.l

\(\chi_{416}(343, \cdot)\)$,$ \(\chi_{416}(359, \cdot)\)

$416$ $208$ $4$ \(\mathbb{Q}(i)\) even
416.m

\(\chi_{416}(265, \cdot)\)$,$ \(\chi_{416}(281, \cdot)\)

$416$ $208$ $4$ \(\mathbb{Q}(i)\) odd
416.n

\(\chi_{416}(105, \cdot)\)$,$ \(\chi_{416}(313, \cdot)\)

$416$ $16$ $4$ \(\mathbb{Q}(i)\) even
416.o

\(\chi_{416}(103, \cdot)\)$,$ \(\chi_{416}(311, \cdot)\)

$416$ $208$ $4$ \(\mathbb{Q}(i)\) odd
416.p

\(\chi_{416}(25, \cdot)\)$,$ \(\chi_{416}(233, \cdot)\)

$416$ $208$ $4$ \(\mathbb{Q}(i)\) even
416.q

\(\chi_{416}(183, \cdot)\)$,$ \(\chi_{416}(391, \cdot)\)

$416$ $16$ $4$ \(\mathbb{Q}(i)\) odd
416.r

\(\chi_{416}(57, \cdot)\)$,$ \(\chi_{416}(73, \cdot)\)

$416$ $208$ $4$ \(\mathbb{Q}(i)\) odd
416.s

\(\chi_{416}(135, \cdot)\)$,$ \(\chi_{416}(151, \cdot)\)

$416$ $208$ $4$ \(\mathbb{Q}(i)\) even
416.t

\(\chi_{416}(161, \cdot)\)$,$ \(\chi_{416}(385, \cdot)\)

$416$ $13$ $4$ \(\mathbb{Q}(i)\) odd
416.u

\(\chi_{416}(47, \cdot)\)$,$ \(\chi_{416}(239, \cdot)\)

$416$ $104$ $4$ \(\mathbb{Q}(i)\) even
416.v

\(\chi_{416}(367, \cdot)\)$,$ \(\chi_{416}(399, \cdot)\)

$416$ $104$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
416.w

\(\chi_{416}(225, \cdot)\)$,$ \(\chi_{416}(257, \cdot)\)

$416$ $13$ $6$ \(\mathbb{Q}(\zeta_3)\) even
416.x

\(\chi_{416}(303, \cdot)\)$,$ \(\chi_{416}(335, \cdot)\)

$416$ $104$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
416.y

\(\chi_{416}(95, \cdot)\)$,$ \(\chi_{416}(127, \cdot)\)

$416$ $52$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
416.z

\(\chi_{416}(81, \cdot)\)$,$ \(\chi_{416}(113, \cdot)\)

$416$ $104$ $6$ \(\mathbb{Q}(\zeta_3)\) even
416.ba

\(\chi_{416}(17, \cdot)\)$,$ \(\chi_{416}(49, \cdot)\)

$416$ $104$ $6$ \(\mathbb{Q}(\zeta_3)\) even
416.bb

\(\chi_{416}(159, \cdot)\)$,$ \(\chi_{416}(191, \cdot)\)

$416$ $52$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
416.bc

\(\chi_{416}(5, \cdot)\)$, \cdots ,$\(\chi_{416}(333, \cdot)\)

$416$ $416$ $8$ \(\Q(\zeta_{8})\) odd
416.bd

\(\chi_{416}(83, \cdot)\)$, \cdots ,$\(\chi_{416}(411, \cdot)\)

$416$ $416$ $8$ \(\Q(\zeta_{8})\) even
416.be

\(\chi_{416}(51, \cdot)\)$, \cdots ,$\(\chi_{416}(363, \cdot)\)

$416$ $416$ $8$ \(\Q(\zeta_{8})\) odd
416.bf

\(\chi_{416}(53, \cdot)\)$, \cdots ,$\(\chi_{416}(365, \cdot)\)

$416$ $32$ $8$ \(\Q(\zeta_{8})\) even
416.bg

\(\chi_{416}(77, \cdot)\)$, \cdots ,$\(\chi_{416}(389, \cdot)\)

$416$ $416$ $8$ \(\Q(\zeta_{8})\) even
416.bh

\(\chi_{416}(27, \cdot)\)$, \cdots ,$\(\chi_{416}(339, \cdot)\)

$416$ $32$ $8$ \(\Q(\zeta_{8})\) odd
416.bi

\(\chi_{416}(99, \cdot)\)$, \cdots ,$\(\chi_{416}(395, \cdot)\)

$416$ $416$ $8$ \(\Q(\zeta_{8})\) even
416.bj

\(\chi_{416}(21, \cdot)\)$, \cdots ,$\(\chi_{416}(317, \cdot)\)

$416$ $416$ $8$ \(\Q(\zeta_{8})\) odd
416.bk

\(\chi_{416}(15, \cdot)\)$, \cdots ,$\(\chi_{416}(271, \cdot)\)

$416$ $104$ $12$ \(\Q(\zeta_{12})\) even
416.bl

\(\chi_{416}(33, \cdot)\)$, \cdots ,$\(\chi_{416}(353, \cdot)\)

$416$ $13$ $12$ \(\Q(\zeta_{12})\) odd
416.bm

\(\chi_{416}(41, \cdot)\)$, \cdots ,$\(\chi_{416}(345, \cdot)\)

$416$ $208$ $12$ \(\Q(\zeta_{12})\) odd
416.bn

\(\chi_{416}(7, \cdot)\)$, \cdots ,$\(\chi_{416}(279, \cdot)\)

$416$ $208$ $12$ \(\Q(\zeta_{12})\) even
416.bo

\(\chi_{416}(55, \cdot)\)$, \cdots ,$\(\chi_{416}(295, \cdot)\)

$416$ $208$ $12$ \(\Q(\zeta_{12})\) odd
416.bp

\(\chi_{416}(121, \cdot)\)$, \cdots ,$\(\chi_{416}(361, \cdot)\)

$416$ $208$ $12$ \(\Q(\zeta_{12})\) even
416.bq

\(\chi_{416}(23, \cdot)\)$, \cdots ,$\(\chi_{416}(407, \cdot)\)

$416$ $208$ $12$ \(\Q(\zeta_{12})\) odd
416.br

\(\chi_{416}(9, \cdot)\)$, \cdots ,$\(\chi_{416}(393, \cdot)\)

$416$ $208$ $12$ \(\Q(\zeta_{12})\) even
416.bs

\(\chi_{416}(71, \cdot)\)$, \cdots ,$\(\chi_{416}(375, \cdot)\)

$416$ $208$ $12$ \(\Q(\zeta_{12})\) even
416.bt

\(\chi_{416}(137, \cdot)\)$, \cdots ,$\(\chi_{416}(409, \cdot)\)

$416$ $208$ $12$ \(\Q(\zeta_{12})\) odd
416.bu

\(\chi_{416}(63, \cdot)\)$, \cdots ,$\(\chi_{416}(383, \cdot)\)

$416$ $52$ $12$ \(\Q(\zeta_{12})\) even
416.bv

\(\chi_{416}(145, \cdot)\)$, \cdots ,$\(\chi_{416}(401, \cdot)\)

$416$ $104$ $12$ \(\Q(\zeta_{12})\) odd
416.bw

\(\chi_{416}(37, \cdot)\)$, \cdots ,$\(\chi_{416}(301, \cdot)\)

$416$ $416$ $24$ \(\Q(\zeta_{24})\) odd
416.bx

\(\chi_{416}(115, \cdot)\)$, \cdots ,$\(\chi_{416}(379, \cdot)\)

$416$ $416$ $24$ \(\Q(\zeta_{24})\) even
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