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

\(\chi_{915}(1, \cdot)\)

$915$ $1$ $1$ \(\Q\) even
915.b

\(\chi_{915}(121, \cdot)\)

$915$ $61$ $2$ \(\Q\) even
915.c

\(\chi_{915}(184, \cdot)\)

$915$ $5$ $2$ \(\Q\) even
915.d

\(\chi_{915}(611, \cdot)\)

$915$ $3$ $2$ \(\Q\) odd
915.e

\(\chi_{915}(914, \cdot)\)

$915$ $915$ $2$ \(\Q\) odd
915.f

\(\chi_{915}(794, \cdot)\)

$915$ $15$ $2$ \(\Q\) odd
915.g

\(\chi_{915}(731, \cdot)\)

$915$ $183$ $2$ \(\Q\) odd
915.h

\(\chi_{915}(304, \cdot)\)

$915$ $305$ $2$ \(\Q\) even
915.i

\(\chi_{915}(196, \cdot)\)$,$ \(\chi_{915}(901, \cdot)\)

$915$ $61$ $3$ \(\mathbb{Q}(\zeta_3)\) even
915.j

\(\chi_{915}(538, \cdot)\)$,$ \(\chi_{915}(682, \cdot)\)

$915$ $305$ $4$ \(\mathbb{Q}(i)\) even
915.k

\(\chi_{915}(743, \cdot)\)$,$ \(\chi_{915}(782, \cdot)\)

$915$ $915$ $4$ \(\mathbb{Q}(i)\) odd
915.l

\(\chi_{915}(487, \cdot)\)$,$ \(\chi_{915}(853, \cdot)\)

$915$ $305$ $4$ \(\mathbb{Q}(i)\) odd
915.m

\(\chi_{915}(62, \cdot)\)$,$ \(\chi_{915}(428, \cdot)\)

$915$ $15$ $4$ \(\mathbb{Q}(i)\) even
915.n

\(\chi_{915}(499, \cdot)\)$,$ \(\chi_{915}(904, \cdot)\)

$915$ $305$ $4$ \(\mathbb{Q}(i)\) odd
915.o

\(\chi_{915}(194, \cdot)\)$,$ \(\chi_{915}(599, \cdot)\)

$915$ $915$ $4$ \(\mathbb{Q}(i)\) even
915.p

\(\chi_{915}(316, \cdot)\)$,$ \(\chi_{915}(721, \cdot)\)

$915$ $61$ $4$ \(\mathbb{Q}(i)\) odd
915.q

\(\chi_{915}(11, \cdot)\)$,$ \(\chi_{915}(416, \cdot)\)

$915$ $183$ $4$ \(\mathbb{Q}(i)\) even
915.r

\(\chi_{915}(367, \cdot)\)$,$ \(\chi_{915}(733, \cdot)\)

$915$ $5$ $4$ \(\mathbb{Q}(i)\) odd
915.s

\(\chi_{915}(182, \cdot)\)$,$ \(\chi_{915}(548, \cdot)\)

$915$ $915$ $4$ \(\mathbb{Q}(i)\) even
915.t

\(\chi_{915}(233, \cdot)\)$,$ \(\chi_{915}(377, \cdot)\)

$915$ $915$ $4$ \(\mathbb{Q}(i)\) odd
915.u

\(\chi_{915}(133, \cdot)\)$,$ \(\chi_{915}(172, \cdot)\)

$915$ $305$ $4$ \(\mathbb{Q}(i)\) even
915.v

\(\chi_{915}(241, \cdot)\)$, \cdots ,$\(\chi_{915}(766, \cdot)\)

$915$ $61$ $5$ \(\Q(\zeta_{5})\) even
915.w

\(\chi_{915}(109, \cdot)\)$,$ \(\chi_{915}(319, \cdot)\)

$915$ $305$ $6$ \(\mathbb{Q}(\zeta_3)\) even
915.x

\(\chi_{915}(74, \cdot)\)$,$ \(\chi_{915}(779, \cdot)\)

$915$ $915$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
915.y

\(\chi_{915}(536, \cdot)\)$,$ \(\chi_{915}(746, \cdot)\)

$915$ $183$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
915.z

\(\chi_{915}(596, \cdot)\)$,$ \(\chi_{915}(806, \cdot)\)

$915$ $183$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
915.ba

\(\chi_{915}(14, \cdot)\)$,$ \(\chi_{915}(719, \cdot)\)

$915$ $915$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
915.bb

\(\chi_{915}(136, \cdot)\)$,$ \(\chi_{915}(841, \cdot)\)

$915$ $61$ $6$ \(\mathbb{Q}(\zeta_3)\) even
915.bc

\(\chi_{915}(169, \cdot)\)$,$ \(\chi_{915}(379, \cdot)\)

$915$ $305$ $6$ \(\mathbb{Q}(\zeta_3)\) even
915.bd

\(\chi_{915}(64, \cdot)\)$, \cdots ,$\(\chi_{915}(784, \cdot)\)

$915$ $305$ $10$ \(\Q(\zeta_{5})\) even
915.be

\(\chi_{915}(119, \cdot)\)$, \cdots ,$\(\chi_{915}(644, \cdot)\)

$915$ $915$ $10$ \(\Q(\zeta_{5})\) odd
915.bf

\(\chi_{915}(41, \cdot)\)$, \cdots ,$\(\chi_{915}(881, \cdot)\)

$915$ $183$ $10$ \(\Q(\zeta_{5})\) odd
915.bg

\(\chi_{915}(131, \cdot)\)$, \cdots ,$\(\chi_{915}(851, \cdot)\)

$915$ $183$ $10$ \(\Q(\zeta_{5})\) odd
915.bh

\(\chi_{915}(149, \cdot)\)$, \cdots ,$\(\chi_{915}(674, \cdot)\)

$915$ $915$ $10$ \(\Q(\zeta_{5})\) odd
915.bi

\(\chi_{915}(271, \cdot)\)$, \cdots ,$\(\chi_{915}(796, \cdot)\)

$915$ $61$ $10$ \(\Q(\zeta_{5})\) even
915.bj

\(\chi_{915}(34, \cdot)\)$, \cdots ,$\(\chi_{915}(874, \cdot)\)

$915$ $305$ $10$ \(\Q(\zeta_{5})\) even
915.bk

\(\chi_{915}(337, \cdot)\)$, \cdots ,$\(\chi_{915}(883, \cdot)\)

$915$ $305$ $12$ \(\Q(\zeta_{12})\) even
915.bl

\(\chi_{915}(212, \cdot)\)$, \cdots ,$\(\chi_{915}(833, \cdot)\)

$915$ $915$ $12$ \(\Q(\zeta_{12})\) odd
915.bm

\(\chi_{915}(47, \cdot)\)$, \cdots ,$\(\chi_{915}(623, \cdot)\)

$915$ $915$ $12$ \(\Q(\zeta_{12})\) even
915.bn

\(\chi_{915}(292, \cdot)\)$, \cdots ,$\(\chi_{915}(868, \cdot)\)

$915$ $305$ $12$ \(\Q(\zeta_{12})\) odd
915.bo

\(\chi_{915}(101, \cdot)\)$, \cdots ,$\(\chi_{915}(761, \cdot)\)

$915$ $183$ $12$ \(\Q(\zeta_{12})\) even
915.bp

\(\chi_{915}(151, \cdot)\)$, \cdots ,$\(\chi_{915}(886, \cdot)\)

$915$ $61$ $12$ \(\Q(\zeta_{12})\) odd
915.bq

\(\chi_{915}(29, \cdot)\)$, \cdots ,$\(\chi_{915}(764, \cdot)\)

$915$ $915$ $12$ \(\Q(\zeta_{12})\) even
915.br

\(\chi_{915}(154, \cdot)\)$, \cdots ,$\(\chi_{915}(814, \cdot)\)

$915$ $305$ $12$ \(\Q(\zeta_{12})\) odd
915.bs

\(\chi_{915}(197, \cdot)\)$, \cdots ,$\(\chi_{915}(902, \cdot)\)

$915$ $915$ $12$ \(\Q(\zeta_{12})\) even
915.bt

\(\chi_{915}(13, \cdot)\)$, \cdots ,$\(\chi_{915}(718, \cdot)\)

$915$ $305$ $12$ \(\Q(\zeta_{12})\) odd
915.bu

\(\chi_{915}(32, \cdot)\)$, \cdots ,$\(\chi_{915}(578, \cdot)\)

$915$ $915$ $12$ \(\Q(\zeta_{12})\) odd
915.bv

\(\chi_{915}(82, \cdot)\)$, \cdots ,$\(\chi_{915}(703, \cdot)\)

$915$ $305$ $12$ \(\Q(\zeta_{12})\) even
915.bw

\(\chi_{915}(16, \cdot)\)$, \cdots ,$\(\chi_{915}(571, \cdot)\)

$915$ $61$ $15$ \(\Q(\zeta_{15})\) even
915.bx

\(\chi_{915}(28, \cdot)\)$, \cdots ,$\(\chi_{915}(907, \cdot)\)

$915$ $305$ $20$ \(\Q(\zeta_{20})\) even
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