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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
6017.a

\(\chi_{6017}(1, \cdot)\)

$6017$ $1$ $1$ \(\Q\) even ✓ ✓
6017.b

\(\chi_{6017}(1640, \cdot)\)

$6017$ $547$ $2$ \(\Q\) odd ✓ ✓
6017.c

\(\chi_{6017}(4377, \cdot)\)

$6017$ $11$ $2$ \(\Q\) odd ✓ ✓
6017.d

\(\chi_{6017}(6016, \cdot)\)

$6017$ $6017$ $2$ \(\Q\) even ✓ ✓ ✓
6017.e

\(\chi_{6017}(1134, \cdot)\)$,$ \(\chi_{6017}(4335, \cdot)\)

$6017$ $547$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
6017.f

\(\chi_{6017}(548, \cdot)\)$, \cdots ,$\(\chi_{6017}(5471, \cdot)\)

$6017$ $11$ $5$ \(\Q(\zeta_{5})\) even ✓
6017.g

\(\chi_{6017}(1682, \cdot)\)$,$ \(\chi_{6017}(4883, \cdot)\)

$6017$ $6017$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
6017.h

\(\chi_{6017}(507, \cdot)\)$,$ \(\chi_{6017}(3323, \cdot)\)

$6017$ $547$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
6017.i

\(\chi_{6017}(2694, \cdot)\)$,$ \(\chi_{6017}(5510, \cdot)\)

$6017$ $6017$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
6017.j

\(\chi_{6017}(628, \cdot)\)$, \cdots ,$\(\chi_{6017}(5479, \cdot)\)

$6017$ $547$ $7$ \(\Q(\zeta_{7})\) even ✓
6017.k

\(\chi_{6017}(546, \cdot)\)$, \cdots ,$\(\chi_{6017}(5469, \cdot)\)

$6017$ $6017$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
6017.l

\(\chi_{6017}(1095, \cdot)\)$, \cdots ,$\(\chi_{6017}(4924, \cdot)\)

$6017$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓
6017.m

\(\chi_{6017}(1093, \cdot)\)$, \cdots ,$\(\chi_{6017}(4922, \cdot)\)

$6017$ $6017$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
6017.n

\(\chi_{6017}(353, \cdot)\)$, \cdots ,$\(\chi_{6017}(5820, \cdot)\)

$6017$ $547$ $13$ \(\Q(\zeta_{13})\) even ✓
6017.o

\(\chi_{6017}(538, \cdot)\)$, \cdots ,$\(\chi_{6017}(5389, \cdot)\)

$6017$ $6017$ $14$ \(\Q(\zeta_{7})\) even ✓ ✓
6017.p

\(\chi_{6017}(1638, \cdot)\)$, \cdots ,$\(\chi_{6017}(5774, \cdot)\)

$6017$ $6017$ $14$ \(\Q(\zeta_{7})\) odd ✓ ✓
6017.q

\(\chi_{6017}(243, \cdot)\)$, \cdots ,$\(\chi_{6017}(4379, \cdot)\)

$6017$ $547$ $14$ \(\Q(\zeta_{7})\) odd ✓
6017.r

\(\chi_{6017}(587, \cdot)\)$, \cdots ,$\(\chi_{6017}(5976, \cdot)\)

$6017$ $6017$ $15$ \(\Q(\zeta_{15})\) even ✓ ✓
6017.s

\(\chi_{6017}(716, \cdot)\)$, \cdots ,$\(\chi_{6017}(5897, \cdot)\)

$6017$ $547$ $21$ \(\Q(\zeta_{21})\) even ✓
6017.t

\(\chi_{6017}(197, \cdot)\)$, \cdots ,$\(\chi_{6017}(5664, \cdot)\)

$6017$ $6017$ $26$ \(\Q(\zeta_{13})\) even ✓ ✓
6017.u

\(\chi_{6017}(254, \cdot)\)$, \cdots ,$\(\chi_{6017}(5424, \cdot)\)

$6017$ $547$ $26$ \(\Q(\zeta_{13})\) odd ✓
6017.v

\(\chi_{6017}(593, \cdot)\)$, \cdots ,$\(\chi_{6017}(5763, \cdot)\)

$6017$ $6017$ $26$ \(\Q(\zeta_{13})\) odd ✓ ✓
6017.w

\(\chi_{6017}(40, \cdot)\)$, \cdots ,$\(\chi_{6017}(5429, \cdot)\)

$6017$ $6017$ $30$ \(\Q(\zeta_{15})\) odd ✓ ✓
6017.x

\(\chi_{6017}(588, \cdot)\)$, \cdots ,$\(\chi_{6017}(5977, \cdot)\)

$6017$ $6017$ $30$ \(\Q(\zeta_{15})\) odd ✓ ✓
6017.y

\(\chi_{6017}(41, \cdot)\)$, \cdots ,$\(\chi_{6017}(5430, \cdot)\)

$6017$ $6017$ $30$ \(\Q(\zeta_{15})\) even ✓ ✓
6017.z

\(\chi_{6017}(9, \cdot)\)$, \cdots ,$\(\chi_{6017}(5652, \cdot)\)

$6017$ $6017$ $35$ $\Q(\zeta_{35})$ even ✓ ✓
6017.ba

\(\chi_{6017}(199, \cdot)\)$, \cdots ,$\(\chi_{6017}(5325, \cdot)\)

$6017$ $547$ $39$ $\Q(\zeta_{39})$ even ✓
6017.bb

\(\chi_{6017}(505, \cdot)\)$, \cdots ,$\(\chi_{6017}(5587, \cdot)\)

$6017$ $6017$ $42$ \(\Q(\zeta_{21})\) odd ✓ ✓
6017.bc

\(\chi_{6017}(430, \cdot)\)$, \cdots ,$\(\chi_{6017}(5512, \cdot)\)

$6017$ $547$ $42$ \(\Q(\zeta_{21})\) odd ✓
6017.bd

\(\chi_{6017}(120, \cdot)\)$, \cdots ,$\(\chi_{6017}(5301, \cdot)\)

$6017$ $6017$ $42$ \(\Q(\zeta_{21})\) even ✓ ✓
6017.be

\(\chi_{6017}(350, \cdot)\)$, \cdots ,$\(\chi_{6017}(5989, \cdot)\)

$6017$ $6017$ $65$ $\Q(\zeta_{65})$ even ✓ ✓
6017.bf

\(\chi_{6017}(3, \cdot)\)$, \cdots ,$\(\chi_{6017}(5835, \cdot)\)

$6017$ $6017$ $70$ $\Q(\zeta_{35})$ odd ✓ ✓
6017.bg

\(\chi_{6017}(182, \cdot)\)$, \cdots ,$\(\chi_{6017}(6014, \cdot)\)

$6017$ $6017$ $70$ $\Q(\zeta_{35})$ odd ✓ ✓
6017.bh

\(\chi_{6017}(365, \cdot)\)$, \cdots ,$\(\chi_{6017}(6008, \cdot)\)

$6017$ $6017$ $70$ $\Q(\zeta_{35})$ even ✓ ✓
6017.bi

\(\chi_{6017}(573, \cdot)\)$, \cdots ,$\(\chi_{6017}(5996, \cdot)\)

$6017$ $547$ $78$ $\Q(\zeta_{39})$ odd ✓
6017.bj

\(\chi_{6017}(21, \cdot)\)$, \cdots ,$\(\chi_{6017}(5444, \cdot)\)

$6017$ $6017$ $78$ $\Q(\zeta_{39})$ odd ✓ ✓
6017.bk

\(\chi_{6017}(692, \cdot)\)$, \cdots ,$\(\chi_{6017}(5818, \cdot)\)

$6017$ $6017$ $78$ $\Q(\zeta_{39})$ even ✓ ✓
6017.bl

\(\chi_{6017}(100, \cdot)\)$, \cdots ,$\(\chi_{6017}(5952, \cdot)\)

$6017$ $547$ $91$ $\Q(\zeta_{91})$ even ✓
6017.bm

\(\chi_{6017}(14, \cdot)\)$, \cdots ,$\(\chi_{6017}(5978, \cdot)\)

$6017$ $6017$ $105$ $\Q(\zeta_{105})$ even ✓ ✓
6017.bn

\(\chi_{6017}(46, \cdot)\)$, \cdots ,$\(\chi_{6017}(5979, \cdot)\)

$6017$ $6017$ $130$ $\Q(\zeta_{65})$ odd ✓ ✓
6017.bo

\(\chi_{6017}(38, \cdot)\)$, \cdots ,$\(\chi_{6017}(5971, \cdot)\)

$6017$ $6017$ $130$ $\Q(\zeta_{65})$ odd ✓ ✓
6017.bp

\(\chi_{6017}(28, \cdot)\)$, \cdots ,$\(\chi_{6017}(5667, \cdot)\)

$6017$ $6017$ $130$ $\Q(\zeta_{65})$ even ✓ ✓
6017.bq

\(\chi_{6017}(10, \cdot)\)$, \cdots ,$\(\chi_{6017}(5928, \cdot)\)

$6017$ $6017$ $182$ $\Q(\zeta_{91})$ odd ✓ ✓
6017.br

\(\chi_{6017}(89, \cdot)\)$, \cdots ,$\(\chi_{6017}(6007, \cdot)\)

$6017$ $547$ $182$ $\Q(\zeta_{91})$ odd ✓
6017.bs

\(\chi_{6017}(65, \cdot)\)$, \cdots ,$\(\chi_{6017}(5917, \cdot)\)

$6017$ $6017$ $182$ $\Q(\zeta_{91})$ even ✓ ✓
6017.bt

\(\chi_{6017}(47, \cdot)\)$, \cdots ,$\(\chi_{6017}(5934, \cdot)\)

$6017$ $6017$ $195$ $\Q(\zeta_{195})$ even ✓ ✓
6017.bu

\(\chi_{6017}(39, \cdot)\)$, \cdots ,$\(\chi_{6017}(6003, \cdot)\)

$6017$ $6017$ $210$ $\Q(\zeta_{105})$ even ✓ ✓
6017.bv

\(\chi_{6017}(42, \cdot)\)$, \cdots ,$\(\chi_{6017}(6004, \cdot)\)

$6017$ $6017$ $210$ $\Q(\zeta_{105})$ odd ✓ ✓
6017.bw

\(\chi_{6017}(13, \cdot)\)$, \cdots ,$\(\chi_{6017}(5975, \cdot)\)

$6017$ $6017$ $210$ $\Q(\zeta_{105})$ odd ✓ ✓
6017.bx

\(\chi_{6017}(34, \cdot)\)$, \cdots ,$\(\chi_{6017}(5985, \cdot)\)

$6017$ $547$ $273$ $\Q(\zeta_{273})$ even ✓
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