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Modulus Conductor Order Real
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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
1183.a

\(\chi_{1183}(1, \cdot)\)

$1183$ $1$ $1$ \(\Q\) even ✓ ✓
1183.b

\(\chi_{1183}(1182, \cdot)\)

$1183$ $91$ $2$ \(\Q\) odd ✓
1183.c

\(\chi_{1183}(337, \cdot)\)

$1183$ $13$ $2$ \(\Q\) even ✓
1183.d

\(\chi_{1183}(846, \cdot)\)

$1183$ $7$ $2$ \(\Q\) odd ✓ ✓
1183.e

\(\chi_{1183}(170, \cdot)\)$,$ \(\chi_{1183}(508, \cdot)\)

$1183$ $7$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
1183.f

\(\chi_{1183}(22, \cdot)\)$,$ \(\chi_{1183}(484, \cdot)\)

$1183$ $13$ $3$ \(\mathbb{Q}(\zeta_3)\) even
1183.g

\(\chi_{1183}(191, \cdot)\)$,$ \(\chi_{1183}(991, \cdot)\)

$1183$ $91$ $3$ \(\mathbb{Q}(\zeta_3)\) even
1183.h

\(\chi_{1183}(529, \cdot)\)$,$ \(\chi_{1183}(653, \cdot)\)

$1183$ $91$ $3$ \(\mathbb{Q}(\zeta_3)\) even
1183.i

\(\chi_{1183}(944, \cdot)\)$,$ \(\chi_{1183}(1084, \cdot)\)

$1183$ $91$ $4$ \(\mathbb{Q}(i)\) even ✓
1183.j

\(\chi_{1183}(99, \cdot)\)$,$ \(\chi_{1183}(239, \cdot)\)

$1183$ $13$ $4$ \(\mathbb{Q}(i)\) odd ✓
1183.k

\(\chi_{1183}(23, \cdot)\)$,$ \(\chi_{1183}(823, \cdot)\)

$1183$ $91$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1183.l

\(\chi_{1183}(530, \cdot)\)$,$ \(\chi_{1183}(654, \cdot)\)

$1183$ $91$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1183.m

\(\chi_{1183}(698, \cdot)\)$,$ \(\chi_{1183}(822, \cdot)\)

$1183$ $91$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1183.n

\(\chi_{1183}(146, \cdot)\)$,$ \(\chi_{1183}(867, \cdot)\)

$1183$ $91$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1183.o

\(\chi_{1183}(339, \cdot)\)$,$ \(\chi_{1183}(677, \cdot)\)

$1183$ $7$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
1183.p

\(\chi_{1183}(192, \cdot)\)$,$ \(\chi_{1183}(992, \cdot)\)

$1183$ $91$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1183.q

\(\chi_{1183}(316, \cdot)\)$,$ \(\chi_{1183}(1037, \cdot)\)

$1183$ $13$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1183.r

\(\chi_{1183}(506, \cdot)\)$,$ \(\chi_{1183}(844, \cdot)\)

$1183$ $91$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1183.s

\(\chi_{1183}(675, \cdot)\)$,$ \(\chi_{1183}(1013, \cdot)\)

$1183$ $91$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1183.t

\(\chi_{1183}(699, \cdot)\)$,$ \(\chi_{1183}(1161, \cdot)\)

$1183$ $91$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1183.u

\(\chi_{1183}(361, \cdot)\)$,$ \(\chi_{1183}(485, \cdot)\)

$1183$ $91$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1183.v

\(\chi_{1183}(360, \cdot)\)$,$ \(\chi_{1183}(1160, \cdot)\)

$1183$ $91$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1183.w

\(\chi_{1183}(19, \cdot)\)$, \cdots ,$\(\chi_{1183}(934, \cdot)\)

$1183$ $91$ $12$ \(\Q(\zeta_{12})\) even
1183.x

\(\chi_{1183}(319, \cdot)\)$, \cdots ,$\(\chi_{1183}(1094, \cdot)\)

$1183$ $91$ $12$ \(\Q(\zeta_{12})\) odd
1183.y

\(\chi_{1183}(526, \cdot)\)$, \cdots ,$\(\chi_{1183}(995, \cdot)\)

$1183$ $13$ $12$ \(\Q(\zeta_{12})\) odd
1183.z

\(\chi_{1183}(268, \cdot)\)$, \cdots ,$\(\chi_{1183}(746, \cdot)\)

$1183$ $91$ $12$ \(\Q(\zeta_{12})\) odd ✓
1183.ba

\(\chi_{1183}(89, \cdot)\)$, \cdots ,$\(\chi_{1183}(864, \cdot)\)

$1183$ $91$ $12$ \(\Q(\zeta_{12})\) even
1183.bb

\(\chi_{1183}(437, \cdot)\)$, \cdots ,$\(\chi_{1183}(915, \cdot)\)

$1183$ $91$ $12$ \(\Q(\zeta_{12})\) even ✓
1183.bc

\(\chi_{1183}(188, \cdot)\)$, \cdots ,$\(\chi_{1183}(657, \cdot)\)

$1183$ $91$ $12$ \(\Q(\zeta_{12})\) even
1183.bd

\(\chi_{1183}(249, \cdot)\)$, \cdots ,$\(\chi_{1183}(1164, \cdot)\)

$1183$ $91$ $12$ \(\Q(\zeta_{12})\) odd
1183.be

\(\chi_{1183}(92, \cdot)\)$, \cdots ,$\(\chi_{1183}(1093, \cdot)\)

$1183$ $169$ $13$ \(\Q(\zeta_{13})\) even ✓
1183.bf

\(\chi_{1183}(27, \cdot)\)$, \cdots ,$\(\chi_{1183}(1119, \cdot)\)

$1183$ $1183$ $26$ \(\Q(\zeta_{13})\) odd ✓ ✓
1183.bg

\(\chi_{1183}(64, \cdot)\)$, \cdots ,$\(\chi_{1183}(1156, \cdot)\)

$1183$ $169$ $26$ \(\Q(\zeta_{13})\) even ✓
1183.bh

\(\chi_{1183}(90, \cdot)\)$, \cdots ,$\(\chi_{1183}(1091, \cdot)\)

$1183$ $1183$ $26$ \(\Q(\zeta_{13})\) odd ✓ ✓
1183.bi

\(\chi_{1183}(16, \cdot)\)$, \cdots ,$\(\chi_{1183}(1166, \cdot)\)

$1183$ $1183$ $39$ $\Q(\zeta_{39})$ even ✓ ✓
1183.bj

\(\chi_{1183}(9, \cdot)\)$, \cdots ,$\(\chi_{1183}(1173, \cdot)\)

$1183$ $1183$ $39$ $\Q(\zeta_{39})$ even ✓ ✓
1183.bk

\(\chi_{1183}(29, \cdot)\)$, \cdots ,$\(\chi_{1183}(1121, \cdot)\)

$1183$ $169$ $39$ $\Q(\zeta_{39})$ even ✓
1183.bl

\(\chi_{1183}(53, \cdot)\)$, \cdots ,$\(\chi_{1183}(1171, \cdot)\)

$1183$ $1183$ $39$ $\Q(\zeta_{39})$ even ✓ ✓
1183.bm

\(\chi_{1183}(8, \cdot)\)$, \cdots ,$\(\chi_{1183}(1149, \cdot)\)

$1183$ $169$ $52$ $\Q(\zeta_{52})$ odd ✓
1183.bn

\(\chi_{1183}(34, \cdot)\)$, \cdots ,$\(\chi_{1183}(1175, \cdot)\)

$1183$ $1183$ $52$ $\Q(\zeta_{52})$ even ✓ ✓
1183.bo

\(\chi_{1183}(68, \cdot)\)$, \cdots ,$\(\chi_{1183}(1179, \cdot)\)

$1183$ $1183$ $78$ $\Q(\zeta_{39})$ odd ✓ ✓
1183.bp

\(\chi_{1183}(30, \cdot)\)$, \cdots ,$\(\chi_{1183}(1180, \cdot)\)

$1183$ $1183$ $78$ $\Q(\zeta_{39})$ even ✓ ✓
1183.bq

\(\chi_{1183}(62, \cdot)\)$, \cdots ,$\(\chi_{1183}(1154, \cdot)\)

$1183$ $1183$ $78$ $\Q(\zeta_{39})$ odd ✓ ✓
1183.br

\(\chi_{1183}(12, \cdot)\)$, \cdots ,$\(\chi_{1183}(1130, \cdot)\)

$1183$ $1183$ $78$ $\Q(\zeta_{39})$ odd ✓ ✓
1183.bs

\(\chi_{1183}(25, \cdot)\)$, \cdots ,$\(\chi_{1183}(1143, \cdot)\)

$1183$ $1183$ $78$ $\Q(\zeta_{39})$ even ✓ ✓
1183.bt

\(\chi_{1183}(36, \cdot)\)$, \cdots ,$\(\chi_{1183}(1135, \cdot)\)

$1183$ $169$ $78$ $\Q(\zeta_{39})$ even ✓
1183.bu

\(\chi_{1183}(10, \cdot)\)$, \cdots ,$\(\chi_{1183}(1174, \cdot)\)

$1183$ $1183$ $78$ $\Q(\zeta_{39})$ odd ✓ ✓
1183.bv

\(\chi_{1183}(40, \cdot)\)$, \cdots ,$\(\chi_{1183}(1158, \cdot)\)

$1183$ $1183$ $78$ $\Q(\zeta_{39})$ odd ✓ ✓
1183.bw

\(\chi_{1183}(48, \cdot)\)$, \cdots ,$\(\chi_{1183}(1147, \cdot)\)

$1183$ $1183$ $78$ $\Q(\zeta_{39})$ odd ✓ ✓
1183.bx

\(\chi_{1183}(3, \cdot)\)$, \cdots ,$\(\chi_{1183}(1153, \cdot)\)

$1183$ $1183$ $78$ $\Q(\zeta_{39})$ odd ✓ ✓
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