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Modulus Conductor Order Real
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Results (48 matches)

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

\(\chi_{333}(1, \cdot)\)

$333$ $1$ $1$ \(\Q\) even ✓ ✓
333.b

\(\chi_{333}(260, \cdot)\)

$333$ $3$ $2$ \(\Q\) odd ✓ ✓
333.c

\(\chi_{333}(73, \cdot)\)

$333$ $37$ $2$ \(\Q\) even ✓ ✓
333.d

\(\chi_{333}(332, \cdot)\)

$333$ $111$ $2$ \(\Q\) odd ✓ ✓
333.e

\(\chi_{333}(112, \cdot)\)$,$ \(\chi_{333}(223, \cdot)\)

$333$ $9$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
333.f

\(\chi_{333}(10, \cdot)\)$,$ \(\chi_{333}(100, \cdot)\)

$333$ $37$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
333.g

\(\chi_{333}(211, \cdot)\)$,$ \(\chi_{333}(232, \cdot)\)

$333$ $333$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
333.h

\(\chi_{333}(121, \cdot)\)$,$ \(\chi_{333}(322, \cdot)\)

$333$ $333$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
333.i

\(\chi_{333}(154, \cdot)\)$,$ \(\chi_{333}(253, \cdot)\)

$333$ $37$ $4$ \(\mathbb{Q}(i)\) odd ✓
333.j

\(\chi_{333}(80, \cdot)\)$,$ \(\chi_{333}(179, \cdot)\)

$333$ $111$ $4$ \(\mathbb{Q}(i)\) even ✓
333.k

\(\chi_{333}(175, \cdot)\)$,$ \(\chi_{333}(196, \cdot)\)

$333$ $333$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
333.l

\(\chi_{333}(137, \cdot)\)$,$ \(\chi_{333}(158, \cdot)\)

$333$ $333$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
333.m

\(\chi_{333}(233, \cdot)\)$,$ \(\chi_{333}(323, \cdot)\)

$333$ $111$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
333.n

\(\chi_{333}(110, \cdot)\)$,$ \(\chi_{333}(221, \cdot)\)

$333$ $333$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
333.o

\(\chi_{333}(101, \cdot)\)$,$ \(\chi_{333}(122, \cdot)\)

$333$ $333$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
333.p

\(\chi_{333}(26, \cdot)\)$,$ \(\chi_{333}(269, \cdot)\)

$333$ $111$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
333.q

\(\chi_{333}(184, \cdot)\)$,$ \(\chi_{333}(295, \cdot)\)

$333$ $333$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
333.r

\(\chi_{333}(38, \cdot)\)$,$ \(\chi_{333}(149, \cdot)\)

$333$ $9$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
333.s

\(\chi_{333}(64, \cdot)\)$,$ \(\chi_{333}(307, \cdot)\)

$333$ $37$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
333.t

\(\chi_{333}(85, \cdot)\)$,$ \(\chi_{333}(286, \cdot)\)

$333$ $333$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
333.u

\(\chi_{333}(47, \cdot)\)$,$ \(\chi_{333}(248, \cdot)\)

$333$ $333$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
333.v

\(\chi_{333}(11, \cdot)\)$,$ \(\chi_{333}(212, \cdot)\)

$333$ $333$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
333.w

\(\chi_{333}(7, \cdot)\)$, \cdots ,$\(\chi_{333}(238, \cdot)\)

$333$ $333$ $9$ \(\Q(\zeta_{9})\) even ✓ ✓
333.x

\(\chi_{333}(46, \cdot)\)$, \cdots ,$\(\chi_{333}(271, \cdot)\)

$333$ $37$ $9$ \(\Q(\zeta_{9})\) even ✓
333.y

\(\chi_{333}(16, \cdot)\)$, \cdots ,$\(\chi_{333}(292, \cdot)\)

$333$ $333$ $9$ \(\Q(\zeta_{9})\) even ✓ ✓
333.z

\(\chi_{333}(14, \cdot)\)$, \cdots ,$\(\chi_{333}(119, \cdot)\)

$333$ $333$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
333.ba

\(\chi_{333}(214, \cdot)\)$, \cdots ,$\(\chi_{333}(319, \cdot)\)

$333$ $333$ $12$ \(\Q(\zeta_{12})\) odd ✓ ✓
333.bb

\(\chi_{333}(82, \cdot)\)$, \cdots ,$\(\chi_{333}(325, \cdot)\)

$333$ $37$ $12$ \(\Q(\zeta_{12})\) odd ✓
333.bc

\(\chi_{333}(68, \cdot)\)$, \cdots ,$\(\chi_{333}(302, \cdot)\)

$333$ $333$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
333.bd

\(\chi_{333}(31, \cdot)\)$, \cdots ,$\(\chi_{333}(265, \cdot)\)

$333$ $333$ $12$ \(\Q(\zeta_{12})\) odd ✓ ✓
333.be

\(\chi_{333}(8, \cdot)\)$, \cdots ,$\(\chi_{333}(251, \cdot)\)

$333$ $111$ $12$ \(\Q(\zeta_{12})\) even ✓
333.bf

\(\chi_{333}(140, \cdot)\)$, \cdots ,$\(\chi_{333}(245, \cdot)\)

$333$ $333$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
333.bg

\(\chi_{333}(88, \cdot)\)$, \cdots ,$\(\chi_{333}(193, \cdot)\)

$333$ $333$ $12$ \(\Q(\zeta_{12})\) odd ✓ ✓
333.bh

\(\chi_{333}(41, \cdot)\)$, \cdots ,$\(\chi_{333}(317, \cdot)\)

$333$ $333$ $18$ \(\Q(\zeta_{9})\) odd ✓ ✓
333.bi

\(\chi_{333}(62, \cdot)\)$, \cdots ,$\(\chi_{333}(287, \cdot)\)

$333$ $111$ $18$ \(\Q(\zeta_{9})\) odd ✓
333.bj

\(\chi_{333}(95, \cdot)\)$, \cdots ,$\(\chi_{333}(326, \cdot)\)

$333$ $333$ $18$ \(\Q(\zeta_{9})\) odd ✓ ✓
333.bk

\(\chi_{333}(83, \cdot)\)$, \cdots ,$\(\chi_{333}(329, \cdot)\)

$333$ $333$ $18$ \(\Q(\zeta_{9})\) odd ✓ ✓
333.bl

\(\chi_{333}(28, \cdot)\)$, \cdots ,$\(\chi_{333}(289, \cdot)\)

$333$ $37$ $18$ \(\Q(\zeta_{9})\) even ✓
333.bm

\(\chi_{333}(58, \cdot)\)$, \cdots ,$\(\chi_{333}(247, \cdot)\)

$333$ $333$ $18$ \(\Q(\zeta_{9})\) even ✓ ✓
333.bn

\(\chi_{333}(86, \cdot)\)$, \cdots ,$\(\chi_{333}(275, \cdot)\)

$333$ $333$ $18$ \(\Q(\zeta_{9})\) odd ✓ ✓
333.bo

\(\chi_{333}(44, \cdot)\)$, \cdots ,$\(\chi_{333}(305, \cdot)\)

$333$ $111$ $18$ \(\Q(\zeta_{9})\) odd ✓
333.bp

\(\chi_{333}(4, \cdot)\)$, \cdots ,$\(\chi_{333}(250, \cdot)\)

$333$ $333$ $18$ \(\Q(\zeta_{9})\) even ✓ ✓
333.bq

\(\chi_{333}(13, \cdot)\)$, \cdots ,$\(\chi_{333}(331, \cdot)\)

$333$ $333$ $36$ \(\Q(\zeta_{36})\) odd ✓ ✓
333.br

\(\chi_{333}(17, \cdot)\)$, \cdots ,$\(\chi_{333}(314, \cdot)\)

$333$ $111$ $36$ \(\Q(\zeta_{36})\) even ✓
333.bs

\(\chi_{333}(56, \cdot)\)$, \cdots ,$\(\chi_{333}(311, \cdot)\)

$333$ $333$ $36$ \(\Q(\zeta_{36})\) even ✓ ✓
333.bt

\(\chi_{333}(22, \cdot)\)$, \cdots ,$\(\chi_{333}(277, \cdot)\)

$333$ $333$ $36$ \(\Q(\zeta_{36})\) odd ✓ ✓
333.bu

\(\chi_{333}(19, \cdot)\)$, \cdots ,$\(\chi_{333}(316, \cdot)\)

$333$ $37$ $36$ \(\Q(\zeta_{36})\) odd ✓
333.bv

\(\chi_{333}(2, \cdot)\)$, \cdots ,$\(\chi_{333}(320, \cdot)\)

$333$ $333$ $36$ \(\Q(\zeta_{36})\) even ✓ ✓
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