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Results (48 matches)

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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
3971.a

\(\chi_{3971}(1, \cdot)\)

$3971$ $1$ $1$ \(\Q\) even ✓ ✓
3971.b

\(\chi_{3971}(3609, \cdot)\)

$3971$ $19$ $2$ \(\Q\) odd ✓ ✓
3971.c

\(\chi_{3971}(362, \cdot)\)

$3971$ $11$ $2$ \(\Q\) odd ✓ ✓
3971.d

\(\chi_{3971}(3970, \cdot)\)

$3971$ $209$ $2$ \(\Q\) even ✓ ✓
3971.e

\(\chi_{3971}(2234, \cdot)\)$,$ \(\chi_{3971}(3180, \cdot)\)

$3971$ $19$ $3$ \(\mathbb{Q}(\zeta_3)\) even
3971.f

\(\chi_{3971}(1445, \cdot)\)$, \cdots ,$\(\chi_{3971}(3611, \cdot)\)

$3971$ $11$ $5$ \(\Q(\zeta_{5})\) even ✓
3971.g

\(\chi_{3971}(791, \cdot)\)$,$ \(\chi_{3971}(1737, \cdot)\)

$3971$ $209$ $6$ \(\mathbb{Q}(\zeta_3)\) even
3971.h

\(\chi_{3971}(2595, \cdot)\)$,$ \(\chi_{3971}(3541, \cdot)\)

$3971$ $209$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
3971.i

\(\chi_{3971}(430, \cdot)\)$,$ \(\chi_{3971}(1376, \cdot)\)

$3971$ $19$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
3971.j

\(\chi_{3971}(595, \cdot)\)$, \cdots ,$\(\chi_{3971}(3664, \cdot)\)

$3971$ $19$ $9$ \(\Q(\zeta_{9})\) even
3971.k

\(\chi_{3971}(360, \cdot)\)$, \cdots ,$\(\chi_{3971}(2526, \cdot)\)

$3971$ $209$ $10$ \(\Q(\zeta_{5})\) even ✓
3971.l

\(\chi_{3971}(723, \cdot)\)$, \cdots ,$\(\chi_{3971}(2889, \cdot)\)

$3971$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓
3971.m

\(\chi_{3971}(1082, \cdot)\)$, \cdots ,$\(\chi_{3971}(3248, \cdot)\)

$3971$ $209$ $10$ \(\Q(\zeta_{5})\) odd ✓
3971.n

\(\chi_{3971}(653, \cdot)\)$, \cdots ,$\(\chi_{3971}(3678, \cdot)\)

$3971$ $209$ $15$ \(\Q(\zeta_{15})\) even
3971.o

\(\chi_{3971}(694, \cdot)\)$, \cdots ,$\(\chi_{3971}(3917, \cdot)\)

$3971$ $19$ $18$ \(\Q(\zeta_{9})\) odd
3971.p

\(\chi_{3971}(307, \cdot)\)$, \cdots ,$\(\chi_{3971}(3376, \cdot)\)

$3971$ $209$ $18$ \(\Q(\zeta_{9})\) even
3971.q

\(\chi_{3971}(54, \cdot)\)$, \cdots ,$\(\chi_{3971}(3277, \cdot)\)

$3971$ $209$ $18$ \(\Q(\zeta_{9})\) odd
3971.r

\(\chi_{3971}(210, \cdot)\)$, \cdots ,$\(\chi_{3971}(3763, \cdot)\)

$3971$ $361$ $19$ \(\Q(\zeta_{19})\) even ✓
3971.s

\(\chi_{3971}(69, \cdot)\)$, \cdots ,$\(\chi_{3971}(3903, \cdot)\)

$3971$ $209$ $30$ \(\Q(\zeta_{15})\) odd
3971.t

\(\chi_{3971}(68, \cdot)\)$, \cdots ,$\(\chi_{3971}(3902, \cdot)\)

$3971$ $209$ $30$ \(\Q(\zeta_{15})\) odd
3971.u

\(\chi_{3971}(293, \cdot)\)$, \cdots ,$\(\chi_{3971}(3318, \cdot)\)

$3971$ $209$ $30$ \(\Q(\zeta_{15})\) even
3971.v

\(\chi_{3971}(208, \cdot)\)$, \cdots ,$\(\chi_{3971}(3761, \cdot)\)

$3971$ $3971$ $38$ \(\Q(\zeta_{19})\) even ✓ ✓
3971.w

\(\chi_{3971}(153, \cdot)\)$, \cdots ,$\(\chi_{3971}(3915, \cdot)\)

$3971$ $3971$ $38$ \(\Q(\zeta_{19})\) odd ✓ ✓
3971.x

\(\chi_{3971}(56, \cdot)\)$, \cdots ,$\(\chi_{3971}(3818, \cdot)\)

$3971$ $361$ $38$ \(\Q(\zeta_{19})\) odd ✓
3971.y

\(\chi_{3971}(234, \cdot)\)$, \cdots ,$\(\chi_{3971}(3855, \cdot)\)

$3971$ $209$ $45$ $\Q(\zeta_{45})$ even
3971.z

\(\chi_{3971}(45, \cdot)\)$, \cdots ,$\(\chi_{3971}(3906, \cdot)\)

$3971$ $361$ $57$ $\Q(\zeta_{57})$ even ✓
3971.ba

\(\chi_{3971}(28, \cdot)\)$, \cdots ,$\(\chi_{3971}(3709, \cdot)\)

$3971$ $209$ $90$ $\Q(\zeta_{45})$ odd
3971.bb

\(\chi_{3971}(116, \cdot)\)$, \cdots ,$\(\chi_{3971}(3737, \cdot)\)

$3971$ $209$ $90$ $\Q(\zeta_{45})$ even
3971.bc

\(\chi_{3971}(262, \cdot)\)$, \cdots ,$\(\chi_{3971}(3943, \cdot)\)

$3971$ $209$ $90$ $\Q(\zeta_{45})$ odd
3971.bd

\(\chi_{3971}(20, \cdot)\)$, \cdots ,$\(\chi_{3971}(3953, \cdot)\)

$3971$ $3971$ $95$ $\Q(\zeta_{95})$ even ✓ ✓
3971.be

\(\chi_{3971}(12, \cdot)\)$, \cdots ,$\(\chi_{3971}(3884, \cdot)\)

$3971$ $361$ $114$ $\Q(\zeta_{57})$ odd ✓
3971.bf

\(\chi_{3971}(87, \cdot)\)$, \cdots ,$\(\chi_{3971}(3959, \cdot)\)

$3971$ $3971$ $114$ $\Q(\zeta_{57})$ odd ✓ ✓
3971.bg

\(\chi_{3971}(65, \cdot)\)$, \cdots ,$\(\chi_{3971}(3926, \cdot)\)

$3971$ $3971$ $114$ $\Q(\zeta_{57})$ even ✓ ✓
3971.bh

\(\chi_{3971}(23, \cdot)\)$, \cdots ,$\(\chi_{3971}(3961, \cdot)\)

$3971$ $361$ $171$ $\Q(\zeta_{171})$ even ✓
3971.bi

\(\chi_{3971}(37, \cdot)\)$, \cdots ,$\(\chi_{3971}(3932, \cdot)\)

$3971$ $3971$ $190$ $\Q(\zeta_{95})$ odd ✓ ✓
3971.bj

\(\chi_{3971}(39, \cdot)\)$, \cdots ,$\(\chi_{3971}(3934, \cdot)\)

$3971$ $3971$ $190$ $\Q(\zeta_{95})$ odd ✓ ✓
3971.bk

\(\chi_{3971}(18, \cdot)\)$, \cdots ,$\(\chi_{3971}(3951, \cdot)\)

$3971$ $3971$ $190$ $\Q(\zeta_{95})$ even ✓ ✓
3971.bl

\(\chi_{3971}(26, \cdot)\)$, \cdots ,$\(\chi_{3971}(3963, \cdot)\)

$3971$ $3971$ $285$ $\Q(\zeta_{285})$ even ✓ ✓
3971.bm

\(\chi_{3971}(43, \cdot)\)$, \cdots ,$\(\chi_{3971}(3937, \cdot)\)

$3971$ $3971$ $342$ $\Q(\zeta_{171})$ odd ✓ ✓
3971.bn

\(\chi_{3971}(10, \cdot)\)$, \cdots ,$\(\chi_{3971}(3948, \cdot)\)

$3971$ $3971$ $342$ $\Q(\zeta_{171})$ even ✓ ✓
3971.bo

\(\chi_{3971}(34, \cdot)\)$, \cdots ,$\(\chi_{3971}(3928, \cdot)\)

$3971$ $361$ $342$ $\Q(\zeta_{171})$ odd ✓
3971.bp

\(\chi_{3971}(8, \cdot)\)$, \cdots ,$\(\chi_{3971}(3945, \cdot)\)

$3971$ $3971$ $570$ $\Q(\zeta_{285})$ even ✓ ✓
3971.bq

\(\chi_{3971}(7, \cdot)\)$, \cdots ,$\(\chi_{3971}(3944, \cdot)\)

$3971$ $3971$ $570$ $\Q(\zeta_{285})$ odd ✓ ✓
3971.br

\(\chi_{3971}(27, \cdot)\)$, \cdots ,$\(\chi_{3971}(3964, \cdot)\)

$3971$ $3971$ $570$ $\Q(\zeta_{285})$ odd ✓ ✓
3971.bs

\(\chi_{3971}(4, \cdot)\)$, \cdots ,$\(\chi_{3971}(3969, \cdot)\)

$3971$ $3971$ $855$ $\Q(\zeta_{855})$ even ✓ ✓
3971.bt

\(\chi_{3971}(3, \cdot)\)$, \cdots ,$\(\chi_{3971}(3965, \cdot)\)

$3971$ $3971$ $1710$ $\Q(\zeta_{855})$ odd ✓ ✓
3971.bu

\(\chi_{3971}(2, \cdot)\)$, \cdots ,$\(\chi_{3971}(3967, \cdot)\)

$3971$ $3971$ $1710$ $\Q(\zeta_{855})$ even ✓ ✓
3971.bv

\(\chi_{3971}(6, \cdot)\)$, \cdots ,$\(\chi_{3971}(3968, \cdot)\)

$3971$ $3971$ $1710$ $\Q(\zeta_{855})$ odd ✓ ✓
  displayed columns for results