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The results below are complete, since the LMFDB contains all Dirichlet characters with modulus at most a million

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Modulus Conductor Order Induced by
Parity Primitive Minimal Real
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Results (1-50 of 144 matches)

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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
4165.a

\(\chi_{4165}(1, \cdot)\)

$4165$ $1$ $1$ \(\Q\) even ✓ ✓
4165.b

\(\chi_{4165}(4164, \cdot)\)

$4165$ $595$ $2$ \(\Q\) odd ✓ ✓
4165.c

\(\chi_{4165}(834, \cdot)\)

$4165$ $5$ $2$ \(\Q\) even ✓ ✓
4165.d

\(\chi_{4165}(2549, \cdot)\)

$4165$ $85$ $2$ \(\Q\) even ✓ ✓
4165.e

\(\chi_{4165}(2449, \cdot)\)

$4165$ $35$ $2$ \(\Q\) odd ✓ ✓
4165.f

\(\chi_{4165}(1716, \cdot)\)

$4165$ $17$ $2$ \(\Q\) even ✓ ✓
4165.g

\(\chi_{4165}(1616, \cdot)\)

$4165$ $7$ $2$ \(\Q\) odd ✓ ✓
4165.h

\(\chi_{4165}(3331, \cdot)\)

$4165$ $119$ $2$ \(\Q\) odd ✓ ✓
4165.i

\(\chi_{4165}(851, \cdot)\)$,$ \(\chi_{4165}(3656, \cdot)\)

$4165$ $7$ $3$ \(\mathbb{Q}(\zeta_3)\) even
4165.j

\(\chi_{4165}(1126, \cdot)\)$,$ \(\chi_{4165}(3821, \cdot)\)

$4165$ $119$ $4$ \(\mathbb{Q}(i)\) odd ✓
4165.k

\(\chi_{4165}(2206, \cdot)\)$,$ \(\chi_{4165}(3676, \cdot)\)

$4165$ $17$ $4$ \(\mathbb{Q}(i)\) even ✓
4165.l

\(\chi_{4165}(293, \cdot)\)$,$ \(\chi_{4165}(1322, \cdot)\)

$4165$ $595$ $4$ \(\mathbb{Q}(i)\) even ✓
4165.m

\(\chi_{4165}(1177, \cdot)\)$,$ \(\chi_{4165}(1373, \cdot)\)

$4165$ $85$ $4$ \(\mathbb{Q}(i)\) odd ✓
4165.n

\(\chi_{4165}(883, \cdot)\)$,$ \(\chi_{4165}(3382, \cdot)\)

$4165$ $85$ $4$ \(\mathbb{Q}(i)\) odd ✓
4165.o

\(\chi_{4165}(783, \cdot)\)$,$ \(\chi_{4165}(3282, \cdot)\)

$4165$ $35$ $4$ \(\mathbb{Q}(i)\) even ✓
4165.p

\(\chi_{4165}(832, \cdot)\)$,$ \(\chi_{4165}(2498, \cdot)\)

$4165$ $595$ $4$ \(\mathbb{Q}(i)\) even ✓
4165.q

\(\chi_{4165}(1667, \cdot)\)$,$ \(\chi_{4165}(3333, \cdot)\)

$4165$ $5$ $4$ \(\mathbb{Q}(i)\) odd ✓
4165.r

\(\chi_{4165}(2792, \cdot)\)$,$ \(\chi_{4165}(2988, \cdot)\)

$4165$ $595$ $4$ \(\mathbb{Q}(i)\) even ✓
4165.s

\(\chi_{4165}(2843, \cdot)\)$,$ \(\chi_{4165}(3872, \cdot)\)

$4165$ $85$ $4$ \(\mathbb{Q}(i)\) odd ✓
4165.t

\(\chi_{4165}(344, \cdot)\)$,$ \(\chi_{4165}(3039, \cdot)\)

$4165$ $85$ $4$ \(\mathbb{Q}(i)\) even ✓
4165.u

\(\chi_{4165}(489, \cdot)\)$,$ \(\chi_{4165}(1959, \cdot)\)

$4165$ $595$ $4$ \(\mathbb{Q}(i)\) odd ✓
4165.v

\(\chi_{4165}(2481, \cdot)\)$,$ \(\chi_{4165}(3841, \cdot)\)

$4165$ $119$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
4165.w

\(\chi_{4165}(766, \cdot)\)$,$ \(\chi_{4165}(2126, \cdot)\)

$4165$ $7$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
4165.x

\(\chi_{4165}(1206, \cdot)\)$,$ \(\chi_{4165}(2566, \cdot)\)

$4165$ $119$ $6$ \(\mathbb{Q}(\zeta_3)\) even
4165.y

\(\chi_{4165}(1599, \cdot)\)$,$ \(\chi_{4165}(2959, \cdot)\)

$4165$ $35$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
4165.z

\(\chi_{4165}(2039, \cdot)\)$,$ \(\chi_{4165}(3399, \cdot)\)

$4165$ $595$ $6$ \(\mathbb{Q}(\zeta_3)\) even
4165.ba

\(\chi_{4165}(324, \cdot)\)$,$ \(\chi_{4165}(1684, \cdot)\)

$4165$ $35$ $6$ \(\mathbb{Q}(\zeta_3)\) even
4165.bb

\(\chi_{4165}(509, \cdot)\)$,$ \(\chi_{4165}(3314, \cdot)\)

$4165$ $595$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
4165.bc

\(\chi_{4165}(596, \cdot)\)$, \cdots ,$\(\chi_{4165}(3571, \cdot)\)

$4165$ $49$ $7$ \(\Q(\zeta_{7})\) even ✓
4165.bd

\(\chi_{4165}(638, \cdot)\)$, \cdots ,$\(\chi_{4165}(3578, \cdot)\)

$4165$ $85$ $8$ \(\Q(\zeta_{8})\) odd ✓
4165.be

\(\chi_{4165}(342, \cdot)\)$, \cdots ,$\(\chi_{4165}(3772, \cdot)\)

$4165$ $595$ $8$ \(\Q(\zeta_{8})\) even ✓
4165.bf

\(\chi_{4165}(2694, \cdot)\)$, \cdots ,$\(\chi_{4165}(3919, \cdot)\)

$4165$ $595$ $8$ \(\Q(\zeta_{8})\) odd ✓
4165.bg

\(\chi_{4165}(246, \cdot)\)$, \cdots ,$\(\chi_{4165}(1471, \cdot)\)

$4165$ $17$ $8$ \(\Q(\zeta_{8})\) even ✓
4165.bh

\(\chi_{4165}(1079, \cdot)\)$, \cdots ,$\(\chi_{4165}(2304, \cdot)\)

$4165$ $85$ $8$ \(\Q(\zeta_{8})\) even ✓
4165.bi

\(\chi_{4165}(1861, \cdot)\)$, \cdots ,$\(\chi_{4165}(3086, \cdot)\)

$4165$ $119$ $8$ \(\Q(\zeta_{8})\) odd ✓
4165.bj

\(\chi_{4165}(393, \cdot)\)$, \cdots ,$\(\chi_{4165}(3823, \cdot)\)

$4165$ $85$ $8$ \(\Q(\zeta_{8})\) odd ✓
4165.bk

\(\chi_{4165}(587, \cdot)\)$, \cdots ,$\(\chi_{4165}(3527, \cdot)\)

$4165$ $595$ $8$ \(\Q(\zeta_{8})\) even ✓
4165.bl

\(\chi_{4165}(1194, \cdot)\)$, \cdots ,$\(\chi_{4165}(3999, \cdot)\)

$4165$ $595$ $12$ \(\Q(\zeta_{12})\) even
4165.bm

\(\chi_{4165}(999, \cdot)\)$, \cdots ,$\(\chi_{4165}(3804, \cdot)\)

$4165$ $595$ $12$ \(\Q(\zeta_{12})\) odd
4165.bn

\(\chi_{4165}(557, \cdot)\)$, \cdots ,$\(\chi_{4165}(3693, \cdot)\)

$4165$ $595$ $12$ \(\Q(\zeta_{12})\) odd
4165.bo

\(\chi_{4165}(1942, \cdot)\)$, \cdots ,$\(\chi_{4165}(3498, \cdot)\)

$4165$ $595$ $12$ \(\Q(\zeta_{12})\) even
4165.bp

\(\chi_{4165}(1293, \cdot)\)$, \cdots ,$\(\chi_{4165}(4098, \cdot)\)

$4165$ $35$ $12$ \(\Q(\zeta_{12})\) even
4165.bq

\(\chi_{4165}(67, \cdot)\)$, \cdots ,$\(\chi_{4165}(2872, \cdot)\)

$4165$ $595$ $12$ \(\Q(\zeta_{12})\) odd
4165.br

\(\chi_{4165}(18, \cdot)\)$, \cdots ,$\(\chi_{4165}(2823, \cdot)\)

$4165$ $35$ $12$ \(\Q(\zeta_{12})\) odd
4165.bs

\(\chi_{4165}(1342, \cdot)\)$, \cdots ,$\(\chi_{4165}(4147, \cdot)\)

$4165$ $595$ $12$ \(\Q(\zeta_{12})\) even
4165.bt

\(\chi_{4165}(667, \cdot)\)$, \cdots ,$\(\chi_{4165}(2223, \cdot)\)

$4165$ $595$ $12$ \(\Q(\zeta_{12})\) odd
4165.bu

\(\chi_{4165}(472, \cdot)\)$, \cdots ,$\(\chi_{4165}(3608, \cdot)\)

$4165$ $595$ $12$ \(\Q(\zeta_{12})\) even
4165.bv

\(\chi_{4165}(166, \cdot)\)$, \cdots ,$\(\chi_{4165}(2971, \cdot)\)

$4165$ $119$ $12$ \(\Q(\zeta_{12})\) odd
4165.bw

\(\chi_{4165}(361, \cdot)\)$, \cdots ,$\(\chi_{4165}(3166, \cdot)\)

$4165$ $119$ $12$ \(\Q(\zeta_{12})\) even
4165.bx

\(\chi_{4165}(356, \cdot)\)$, \cdots ,$\(\chi_{4165}(3926, \cdot)\)

$4165$ $833$ $14$ \(\Q(\zeta_{7})\) odd ✓
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