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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 60 matches)

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

\(\chi_{555}(1, \cdot)\)

$555$ $1$ $1$ \(\Q\) even ✓ ✓
555.b

\(\chi_{555}(554, \cdot)\)

$555$ $555$ $2$ \(\Q\) odd ✓ ✓ ✓
555.c

\(\chi_{555}(334, \cdot)\)

$555$ $5$ $2$ \(\Q\) even ✓ ✓
555.d

\(\chi_{555}(371, \cdot)\)

$555$ $3$ $2$ \(\Q\) odd ✓ ✓
555.e

\(\chi_{555}(406, \cdot)\)

$555$ $37$ $2$ \(\Q\) even ✓ ✓
555.f

\(\chi_{555}(149, \cdot)\)

$555$ $15$ $2$ \(\Q\) odd ✓ ✓
555.g

\(\chi_{555}(184, \cdot)\)

$555$ $185$ $2$ \(\Q\) even ✓ ✓
555.h

\(\chi_{555}(221, \cdot)\)

$555$ $111$ $2$ \(\Q\) odd ✓ ✓
555.i

\(\chi_{555}(121, \cdot)\)$,$ \(\chi_{555}(211, \cdot)\)

$555$ $37$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
555.j

\(\chi_{555}(43, \cdot)\)$,$ \(\chi_{555}(142, \cdot)\)

$555$ $185$ $4$ \(\mathbb{Q}(i)\) even ✓
555.k

\(\chi_{555}(68, \cdot)\)$,$ \(\chi_{555}(302, \cdot)\)

$555$ $555$ $4$ \(\mathbb{Q}(i)\) odd ✓ ✓
555.l

\(\chi_{555}(154, \cdot)\)$,$ \(\chi_{555}(364, \cdot)\)

$555$ $185$ $4$ \(\mathbb{Q}(i)\) odd ✓
555.m

\(\chi_{555}(179, \cdot)\)$,$ \(\chi_{555}(524, \cdot)\)

$555$ $555$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
555.n

\(\chi_{555}(332, \cdot)\)$,$ \(\chi_{555}(443, \cdot)\)

$555$ $555$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
555.o

\(\chi_{555}(38, \cdot)\)$,$ \(\chi_{555}(482, \cdot)\)

$555$ $15$ $4$ \(\mathbb{Q}(i)\) even ✓
555.p

\(\chi_{555}(112, \cdot)\)$,$ \(\chi_{555}(223, \cdot)\)

$555$ $5$ $4$ \(\mathbb{Q}(i)\) odd ✓
555.q

\(\chi_{555}(73, \cdot)\)$,$ \(\chi_{555}(517, \cdot)\)

$555$ $185$ $4$ \(\mathbb{Q}(i)\) odd ✓
555.r

\(\chi_{555}(31, \cdot)\)$,$ \(\chi_{555}(376, \cdot)\)

$555$ $37$ $4$ \(\mathbb{Q}(i)\) odd ✓
555.s

\(\chi_{555}(191, \cdot)\)$,$ \(\chi_{555}(401, \cdot)\)

$555$ $111$ $4$ \(\mathbb{Q}(i)\) even ✓
555.t

\(\chi_{555}(253, \cdot)\)$,$ \(\chi_{555}(487, \cdot)\)

$555$ $185$ $4$ \(\mathbb{Q}(i)\) even ✓
555.u

\(\chi_{555}(413, \cdot)\)$,$ \(\chi_{555}(512, \cdot)\)

$555$ $555$ $4$ \(\mathbb{Q}(i)\) odd ✓ ✓
555.v

\(\chi_{555}(11, \cdot)\)$,$ \(\chi_{555}(101, \cdot)\)

$555$ $111$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
555.w

\(\chi_{555}(269, \cdot)\)$,$ \(\chi_{555}(359, \cdot)\)

$555$ $555$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
555.x

\(\chi_{555}(64, \cdot)\)$,$ \(\chi_{555}(529, \cdot)\)

$555$ $185$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
555.y

\(\chi_{555}(26, \cdot)\)$,$ \(\chi_{555}(491, \cdot)\)

$555$ $111$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
555.z

\(\chi_{555}(196, \cdot)\)$,$ \(\chi_{555}(286, \cdot)\)

$555$ $37$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
555.ba

\(\chi_{555}(344, \cdot)\)$,$ \(\chi_{555}(434, \cdot)\)

$555$ $555$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
555.bb

\(\chi_{555}(454, \cdot)\)$,$ \(\chi_{555}(544, \cdot)\)

$555$ $185$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
555.bc

\(\chi_{555}(16, \cdot)\)$, \cdots ,$\(\chi_{555}(451, \cdot)\)

$555$ $37$ $9$ \(\Q(\zeta_{9})\) even ✓
555.bd

\(\chi_{555}(82, \cdot)\)$, \cdots ,$\(\chi_{555}(103, \cdot)\)

$555$ $185$ $12$ \(\Q(\zeta_{12})\) even ✓
555.be

\(\chi_{555}(8, \cdot)\)$, \cdots ,$\(\chi_{555}(362, \cdot)\)

$555$ $555$ $12$ \(\Q(\zeta_{12})\) odd ✓ ✓
555.bf

\(\chi_{555}(421, \cdot)\)$, \cdots ,$\(\chi_{555}(541, \cdot)\)

$555$ $37$ $12$ \(\Q(\zeta_{12})\) odd ✓
555.bg

\(\chi_{555}(236, \cdot)\)$, \cdots ,$\(\chi_{555}(356, \cdot)\)

$555$ $111$ $12$ \(\Q(\zeta_{12})\) even ✓
555.bh

\(\chi_{555}(122, \cdot)\)$, \cdots ,$\(\chi_{555}(323, \cdot)\)

$555$ $555$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
555.bi

\(\chi_{555}(47, \cdot)\)$, \cdots ,$\(\chi_{555}(248, \cdot)\)

$555$ $555$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
555.bj

\(\chi_{555}(232, \cdot)\)$, \cdots ,$\(\chi_{555}(433, \cdot)\)

$555$ $185$ $12$ \(\Q(\zeta_{12})\) odd ✓
555.bk

\(\chi_{555}(307, \cdot)\)$, \cdots ,$\(\chi_{555}(508, \cdot)\)

$555$ $185$ $12$ \(\Q(\zeta_{12})\) odd ✓
555.bl

\(\chi_{555}(199, \cdot)\)$, \cdots ,$\(\chi_{555}(319, \cdot)\)

$555$ $185$ $12$ \(\Q(\zeta_{12})\) odd ✓
555.bm

\(\chi_{555}(14, \cdot)\)$, \cdots ,$\(\chi_{555}(134, \cdot)\)

$555$ $555$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
555.bn

\(\chi_{555}(193, \cdot)\)$, \cdots ,$\(\chi_{555}(547, \cdot)\)

$555$ $185$ $12$ \(\Q(\zeta_{12})\) even ✓
555.bo

\(\chi_{555}(452, \cdot)\)$, \cdots ,$\(\chi_{555}(473, \cdot)\)

$555$ $555$ $12$ \(\Q(\zeta_{12})\) odd ✓ ✓
555.bp

\(\chi_{555}(4, \cdot)\)$, \cdots ,$\(\chi_{555}(484, \cdot)\)

$555$ $185$ $18$ \(\Q(\zeta_{9})\) even ✓
555.bq

\(\chi_{555}(41, \cdot)\)$, \cdots ,$\(\chi_{555}(521, \cdot)\)

$555$ $111$ $18$ \(\Q(\zeta_{9})\) odd ✓
555.br

\(\chi_{555}(44, \cdot)\)$, \cdots ,$\(\chi_{555}(419, \cdot)\)

$555$ $555$ $18$ \(\Q(\zeta_{9})\) odd ✓ ✓
555.bs

\(\chi_{555}(34, \cdot)\)$, \cdots ,$\(\chi_{555}(514, \cdot)\)

$555$ $185$ $18$ \(\Q(\zeta_{9})\) even ✓
555.bt

\(\chi_{555}(136, \cdot)\)$, \cdots ,$\(\chi_{555}(511, \cdot)\)

$555$ $37$ $18$ \(\Q(\zeta_{9})\) even ✓
555.bu

\(\chi_{555}(104, \cdot)\)$, \cdots ,$\(\chi_{555}(539, \cdot)\)

$555$ $555$ $18$ \(\Q(\zeta_{9})\) odd ✓ ✓
555.bv

\(\chi_{555}(71, \cdot)\)$, \cdots ,$\(\chi_{555}(551, \cdot)\)

$555$ $111$ $18$ \(\Q(\zeta_{9})\) odd ✓
555.bw

\(\chi_{555}(2, \cdot)\)$, \cdots ,$\(\chi_{555}(542, \cdot)\)

$555$ $555$ $36$ \(\Q(\zeta_{36})\) odd ✓ ✓
555.bx

\(\chi_{555}(22, \cdot)\)$, \cdots ,$\(\chi_{555}(538, \cdot)\)

$555$ $185$ $36$ \(\Q(\zeta_{36})\) even ✓
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