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Modulus Conductor Order Induced by
Parity Primitive Minimal Real
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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
4056.a

\(\chi_{4056}(1, \cdot)\)

$4056$ $1$ $1$ \(\Q\) even ✓ ✓
4056.b

\(\chi_{4056}(1013, \cdot)\)

$4056$ $312$ $2$ \(\Q\) odd ✓
4056.c

\(\chi_{4056}(337, \cdot)\)

$4056$ $13$ $2$ \(\Q\) even ✓
4056.d

\(\chi_{4056}(3719, \cdot)\)

$4056$ $12$ $2$ \(\Q\) even ✓
4056.e

\(\chi_{4056}(3043, \cdot)\)

$4056$ $8$ $2$ \(\Q\) odd ✓ ✓
4056.f

\(\chi_{4056}(2705, \cdot)\)

$4056$ $3$ $2$ \(\Q\) odd ✓ ✓
4056.g

\(\chi_{4056}(2029, \cdot)\)

$4056$ $8$ $2$ \(\Q\) even ✓ ✓
4056.h

\(\chi_{4056}(2027, \cdot)\)

$4056$ $312$ $2$ \(\Q\) even ✓
4056.i

\(\chi_{4056}(1351, \cdot)\)

$4056$ $52$ $2$ \(\Q\) odd ✓
4056.j

\(\chi_{4056}(1691, \cdot)\)

$4056$ $24$ $2$ \(\Q\) even ✓ ✓
4056.k

\(\chi_{4056}(1015, \cdot)\)

$4056$ $4$ $2$ \(\Q\) odd ✓
4056.l

\(\chi_{4056}(3041, \cdot)\)

$4056$ $39$ $2$ \(\Q\) odd ✓
4056.m

\(\chi_{4056}(2365, \cdot)\)

$4056$ $104$ $2$ \(\Q\) even ✓
4056.n

\(\chi_{4056}(4055, \cdot)\)

$4056$ $156$ $2$ \(\Q\) even ✓
4056.o

\(\chi_{4056}(3379, \cdot)\)

$4056$ $104$ $2$ \(\Q\) odd ✓
4056.p

\(\chi_{4056}(677, \cdot)\)

$4056$ $24$ $2$ \(\Q\) odd ✓ ✓
4056.q

\(\chi_{4056}(529, \cdot)\)$,$ \(\chi_{4056}(4033, \cdot)\)

$4056$ $13$ $3$ \(\mathbb{Q}(\zeta_3)\) even
4056.r

\(\chi_{4056}(1789, \cdot)\)$,$ \(\chi_{4056}(2605, \cdot)\)

$4056$ $104$ $4$ \(\mathbb{Q}(i)\) odd ✓
4056.s

\(\chi_{4056}(577, \cdot)\)$,$ \(\chi_{4056}(3817, \cdot)\)

$4056$ $13$ $4$ \(\mathbb{Q}(i)\) odd ✓
4056.t

\(\chi_{4056}(2803, \cdot)\)$,$ \(\chi_{4056}(3619, \cdot)\)

$4056$ $104$ $4$ \(\mathbb{Q}(i)\) even ✓
4056.u

\(\chi_{4056}(775, \cdot)\)$,$ \(\chi_{4056}(1591, \cdot)\)

$4056$ $52$ $4$ \(\mathbb{Q}(i)\) even
4056.v

\(\chi_{4056}(239, \cdot)\)$,$ \(\chi_{4056}(3479, \cdot)\)

$4056$ $156$ $4$ \(\mathbb{Q}(i)\) odd
4056.w

\(\chi_{4056}(1451, \cdot)\)$,$ \(\chi_{4056}(2267, \cdot)\)

$4056$ $312$ $4$ \(\mathbb{Q}(i)\) odd ✓
4056.x

\(\chi_{4056}(2465, \cdot)\)$,$ \(\chi_{4056}(3281, \cdot)\)

$4056$ $39$ $4$ \(\mathbb{Q}(i)\) even ✓
4056.y

\(\chi_{4056}(437, \cdot)\)$,$ \(\chi_{4056}(1253, \cdot)\)

$4056$ $312$ $4$ \(\mathbb{Q}(i)\) even ✓
4056.z

\(\chi_{4056}(823, \cdot)\)$,$ \(\chi_{4056}(1375, \cdot)\)

$4056$ $52$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
4056.ba

\(\chi_{4056}(1499, \cdot)\)$,$ \(\chi_{4056}(2051, \cdot)\)

$4056$ $312$ $6$ \(\mathbb{Q}(\zeta_3)\) even
4056.bb

\(\chi_{4056}(2005, \cdot)\)$,$ \(\chi_{4056}(2557, \cdot)\)

$4056$ $104$ $6$ \(\mathbb{Q}(\zeta_3)\) even
4056.bc

\(\chi_{4056}(2681, \cdot)\)$,$ \(\chi_{4056}(3233, \cdot)\)

$4056$ $39$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
4056.bd

\(\chi_{4056}(3019, \cdot)\)$,$ \(\chi_{4056}(3571, \cdot)\)

$4056$ $104$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
4056.be

\(\chi_{4056}(191, \cdot)\)$,$ \(\chi_{4056}(3695, \cdot)\)

$4056$ $156$ $6$ \(\mathbb{Q}(\zeta_3)\) even
4056.bf

\(\chi_{4056}(361, \cdot)\)$,$ \(\chi_{4056}(3865, \cdot)\)

$4056$ $13$ $6$ \(\mathbb{Q}(\zeta_3)\) even
4056.bg

\(\chi_{4056}(485, \cdot)\)$,$ \(\chi_{4056}(1037, \cdot)\)

$4056$ $312$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
4056.bh

\(\chi_{4056}(653, \cdot)\)$,$ \(\chi_{4056}(1205, \cdot)\)

$4056$ $312$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
4056.bi

\(\chi_{4056}(2851, \cdot)\)$,$ \(\chi_{4056}(3403, \cdot)\)

$4056$ $104$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
4056.bj

\(\chi_{4056}(23, \cdot)\)$,$ \(\chi_{4056}(3527, \cdot)\)

$4056$ $156$ $6$ \(\mathbb{Q}(\zeta_3)\) even
4056.bk

\(\chi_{4056}(1837, \cdot)\)$,$ \(\chi_{4056}(2389, \cdot)\)

$4056$ $104$ $6$ \(\mathbb{Q}(\zeta_3)\) even
4056.bl

\(\chi_{4056}(2513, \cdot)\)$,$ \(\chi_{4056}(3065, \cdot)\)

$4056$ $39$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
4056.bm

\(\chi_{4056}(991, \cdot)\)$,$ \(\chi_{4056}(1543, \cdot)\)

$4056$ $52$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
4056.bn

\(\chi_{4056}(1667, \cdot)\)$,$ \(\chi_{4056}(2219, \cdot)\)

$4056$ $312$ $6$ \(\mathbb{Q}(\zeta_3)\) even
4056.bo

\(\chi_{4056}(1709, \cdot)\)$, \cdots ,$\(\chi_{4056}(4037, \cdot)\)

$4056$ $312$ $12$ \(\Q(\zeta_{12})\) even
4056.bp

\(\chi_{4056}(89, \cdot)\)$, \cdots ,$\(\chi_{4056}(3737, \cdot)\)

$4056$ $39$ $12$ \(\Q(\zeta_{12})\) even
4056.bq

\(\chi_{4056}(587, \cdot)\)$, \cdots ,$\(\chi_{4056}(3131, \cdot)\)

$4056$ $312$ $12$ \(\Q(\zeta_{12})\) odd
4056.br

\(\chi_{4056}(695, \cdot)\)$, \cdots ,$\(\chi_{4056}(3023, \cdot)\)

$4056$ $156$ $12$ \(\Q(\zeta_{12})\) odd
4056.bs

\(\chi_{4056}(319, \cdot)\)$, \cdots ,$\(\chi_{4056}(3967, \cdot)\)

$4056$ $52$ $12$ \(\Q(\zeta_{12})\) even
4056.bt

\(\chi_{4056}(19, \cdot)\)$, \cdots ,$\(\chi_{4056}(2347, \cdot)\)

$4056$ $104$ $12$ \(\Q(\zeta_{12})\) even
4056.bu

\(\chi_{4056}(1033, \cdot)\)$, \cdots ,$\(\chi_{4056}(3361, \cdot)\)

$4056$ $13$ $12$ \(\Q(\zeta_{12})\) odd
4056.bv

\(\chi_{4056}(925, \cdot)\)$, \cdots ,$\(\chi_{4056}(3469, \cdot)\)

$4056$ $104$ $12$ \(\Q(\zeta_{12})\) odd
4056.bw

\(\chi_{4056}(313, \cdot)\)$, \cdots ,$\(\chi_{4056}(3745, \cdot)\)

$4056$ $169$ $13$ \(\Q(\zeta_{13})\) even ✓
4056.bx

\(\chi_{4056}(53, \cdot)\)$, \cdots ,$\(\chi_{4056}(3797, \cdot)\)

$4056$ $4056$ $26$ \(\Q(\zeta_{13})\) odd ✓ ✓
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