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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
3800.a

\(\chi_{3800}(1, \cdot)\)

$3800$ $1$ $1$ \(\Q\) even
3800.b

\(\chi_{3800}(949, \cdot)\)

$3800$ $760$ $2$ \(\Q\) odd
3800.c

\(\chi_{3800}(951, \cdot)\)

$3800$ $4$ $2$ \(\Q\) odd
3800.d

\(\chi_{3800}(3649, \cdot)\)

$3800$ $5$ $2$ \(\Q\) even
3800.e

\(\chi_{3800}(2051, \cdot)\)

$3800$ $152$ $2$ \(\Q\) even
3800.f

\(\chi_{3800}(1901, \cdot)\)

$3800$ $8$ $2$ \(\Q\) even
3800.g

\(\chi_{3800}(3799, \cdot)\)

$3800$ $380$ $2$ \(\Q\) even
3800.h

\(\chi_{3800}(3001, \cdot)\)

$3800$ $19$ $2$ \(\Q\) odd
3800.i

\(\chi_{3800}(2699, \cdot)\)

$3800$ $40$ $2$ \(\Q\) odd
3800.j

\(\chi_{3800}(151, \cdot)\)

$3800$ $76$ $2$ \(\Q\) even
3800.k

\(\chi_{3800}(1749, \cdot)\)

$3800$ $40$ $2$ \(\Q\) even
3800.l

\(\chi_{3800}(2851, \cdot)\)

$3800$ $8$ $2$ \(\Q\) odd
3800.m

\(\chi_{3800}(2849, \cdot)\)

$3800$ $95$ $2$ \(\Q\) odd
3800.n

\(\chi_{3800}(799, \cdot)\)

$3800$ $20$ $2$ \(\Q\) odd
3800.o

\(\chi_{3800}(1101, \cdot)\)

$3800$ $152$ $2$ \(\Q\) odd
3800.p

\(\chi_{3800}(1899, \cdot)\)

$3800$ $760$ $2$ \(\Q\) even
3800.q

\(\chi_{3800}(201, \cdot)\)$,$ \(\chi_{3800}(2401, \cdot)\)

$3800$ $19$ $3$ \(\mathbb{Q}(\zeta_3)\) even
3800.r

\(\chi_{3800}(1293, \cdot)\)$,$ \(\chi_{3800}(2357, \cdot)\)

$3800$ $40$ $4$ \(\mathbb{Q}(i)\) odd
3800.s

\(\chi_{3800}(607, \cdot)\)$,$ \(\chi_{3800}(3343, \cdot)\)

$3800$ $380$ $4$ \(\mathbb{Q}(i)\) odd
3800.t

\(\chi_{3800}(493, \cdot)\)$,$ \(\chi_{3800}(1557, \cdot)\)

$3800$ $760$ $4$ \(\mathbb{Q}(i)\) even
3800.u

\(\chi_{3800}(343, \cdot)\)$,$ \(\chi_{3800}(1407, \cdot)\)

$3800$ $20$ $4$ \(\mathbb{Q}(i)\) even
3800.v

\(\chi_{3800}(2393, \cdot)\)$,$ \(\chi_{3800}(3457, \cdot)\)

$3800$ $95$ $4$ \(\mathbb{Q}(i)\) even
3800.w

\(\chi_{3800}(2243, \cdot)\)$,$ \(\chi_{3800}(3307, \cdot)\)

$3800$ $40$ $4$ \(\mathbb{Q}(i)\) even
3800.x

\(\chi_{3800}(457, \cdot)\)$,$ \(\chi_{3800}(3193, \cdot)\)

$3800$ $5$ $4$ \(\mathbb{Q}(i)\) odd
3800.y

\(\chi_{3800}(1443, \cdot)\)$,$ \(\chi_{3800}(2507, \cdot)\)

$3800$ $760$ $4$ \(\mathbb{Q}(i)\) odd
3800.z

\(\chi_{3800}(761, \cdot)\)$, \cdots ,$\(\chi_{3800}(3041, \cdot)\)

$3800$ $25$ $5$ \(\Q(\zeta_{5})\) even
3800.ba

\(\chi_{3800}(349, \cdot)\)$,$ \(\chi_{3800}(1949, \cdot)\)

$3800$ $760$ $6$ \(\mathbb{Q}(\zeta_3)\) even
3800.bb

\(\chi_{3800}(1551, \cdot)\)$,$ \(\chi_{3800}(3751, \cdot)\)

$3800$ $76$ $6$ \(\mathbb{Q}(\zeta_3)\) even
3800.bc

\(\chi_{3800}(449, \cdot)\)$,$ \(\chi_{3800}(2649, \cdot)\)

$3800$ $95$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
3800.bd

\(\chi_{3800}(1451, \cdot)\)$,$ \(\chi_{3800}(3051, \cdot)\)

$3800$ $152$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
3800.be

\(\chi_{3800}(901, \cdot)\)$,$ \(\chi_{3800}(2501, \cdot)\)

$3800$ $152$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
3800.bf

\(\chi_{3800}(999, \cdot)\)$,$ \(\chi_{3800}(3199, \cdot)\)

$3800$ $380$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
3800.bg

\(\chi_{3800}(1699, \cdot)\)$,$ \(\chi_{3800}(3299, \cdot)\)

$3800$ $760$ $6$ \(\mathbb{Q}(\zeta_3)\) even
3800.bh

\(\chi_{3800}(1151, \cdot)\)$,$ \(\chi_{3800}(3351, \cdot)\)

$3800$ $76$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
3800.bi

\(\chi_{3800}(749, \cdot)\)$,$ \(\chi_{3800}(2349, \cdot)\)

$3800$ $760$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
3800.bj

\(\chi_{3800}(1851, \cdot)\)$,$ \(\chi_{3800}(3451, \cdot)\)

$3800$ $152$ $6$ \(\mathbb{Q}(\zeta_3)\) even
3800.bk

\(\chi_{3800}(49, \cdot)\)$,$ \(\chi_{3800}(2249, \cdot)\)

$3800$ $95$ $6$ \(\mathbb{Q}(\zeta_3)\) even
3800.bl

\(\chi_{3800}(1399, \cdot)\)$,$ \(\chi_{3800}(3599, \cdot)\)

$3800$ $380$ $6$ \(\mathbb{Q}(\zeta_3)\) even
3800.bm

\(\chi_{3800}(501, \cdot)\)$,$ \(\chi_{3800}(2101, \cdot)\)

$3800$ $152$ $6$ \(\mathbb{Q}(\zeta_3)\) even
3800.bn

\(\chi_{3800}(1299, \cdot)\)$,$ \(\chi_{3800}(2899, \cdot)\)

$3800$ $760$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
3800.bo

\(\chi_{3800}(601, \cdot)\)$,$ \(\chi_{3800}(2801, \cdot)\)

$3800$ $19$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
3800.bp

\(\chi_{3800}(1201, \cdot)\)$, \cdots ,$\(\chi_{3800}(3201, \cdot)\)

$3800$ $19$ $9$ \(\Q(\zeta_{9})\) even
3800.bq

\(\chi_{3800}(569, \cdot)\)$, \cdots ,$\(\chi_{3800}(3609, \cdot)\)

$3800$ $475$ $10$ \(\Q(\zeta_{5})\) odd
3800.br

\(\chi_{3800}(571, \cdot)\)$, \cdots ,$\(\chi_{3800}(3611, \cdot)\)

$3800$ $200$ $10$ \(\Q(\zeta_{5})\) odd
3800.bs

\(\chi_{3800}(229, \cdot)\)$, \cdots ,$\(\chi_{3800}(3269, \cdot)\)

$3800$ $200$ $10$ \(\Q(\zeta_{5})\) even
3800.bt

\(\chi_{3800}(911, \cdot)\)$, \cdots ,$\(\chi_{3800}(3191, \cdot)\)

$3800$ $1900$ $10$ \(\Q(\zeta_{5})\) even
3800.bu

\(\chi_{3800}(379, \cdot)\)$, \cdots ,$\(\chi_{3800}(3419, \cdot)\)

$3800$ $3800$ $10$ \(\Q(\zeta_{5})\) even
3800.bv

\(\chi_{3800}(341, \cdot)\)$, \cdots ,$\(\chi_{3800}(3381, \cdot)\)

$3800$ $3800$ $10$ \(\Q(\zeta_{5})\) odd
3800.bw

\(\chi_{3800}(39, \cdot)\)$, \cdots ,$\(\chi_{3800}(3079, \cdot)\)

$3800$ $100$ $10$ \(\Q(\zeta_{5})\) odd
3800.bx

\(\chi_{3800}(531, \cdot)\)$, \cdots ,$\(\chi_{3800}(3571, \cdot)\)

$3800$ $3800$ $10$ \(\Q(\zeta_{5})\) even
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