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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
1800.a

\(\chi_{1800}(1, \cdot)\)

$1800$ $1$ $1$ \(\Q\) even ✓ ✓
1800.b

\(\chi_{1800}(251, \cdot)\)

$1800$ $24$ $2$ \(\Q\) even ✓ ✓
1800.c

\(\chi_{1800}(449, \cdot)\)

$1800$ $15$ $2$ \(\Q\) odd ✓
1800.d

\(\chi_{1800}(1549, \cdot)\)

$1800$ $40$ $2$ \(\Q\) even ✓
1800.e

\(\chi_{1800}(1351, \cdot)\)

$1800$ $4$ $2$ \(\Q\) odd ✓
1800.f

\(\chi_{1800}(649, \cdot)\)

$1800$ $5$ $2$ \(\Q\) even ✓
1800.g

\(\chi_{1800}(451, \cdot)\)

$1800$ $8$ $2$ \(\Q\) odd ✓ ✓
1800.h

\(\chi_{1800}(1151, \cdot)\)

$1800$ $12$ $2$ \(\Q\) even ✓
1800.i

\(\chi_{1800}(1349, \cdot)\)

$1800$ $120$ $2$ \(\Q\) odd ✓
1800.j

\(\chi_{1800}(199, \cdot)\)

$1800$ $20$ $2$ \(\Q\) odd ✓
1800.k

\(\chi_{1800}(901, \cdot)\)

$1800$ $8$ $2$ \(\Q\) even ✓ ✓
1800.l

\(\chi_{1800}(1601, \cdot)\)

$1800$ $3$ $2$ \(\Q\) odd ✓ ✓
1800.m

\(\chi_{1800}(899, \cdot)\)

$1800$ $120$ $2$ \(\Q\) even ✓
1800.n

\(\chi_{1800}(701, \cdot)\)

$1800$ $24$ $2$ \(\Q\) odd ✓ ✓
1800.o

\(\chi_{1800}(1799, \cdot)\)

$1800$ $60$ $2$ \(\Q\) even ✓
1800.p

\(\chi_{1800}(1099, \cdot)\)

$1800$ $40$ $2$ \(\Q\) odd ✓
1800.q

\(\chi_{1800}(601, \cdot)\)$,$ \(\chi_{1800}(1201, \cdot)\)

$1800$ $9$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
1800.r

\(\chi_{1800}(107, \cdot)\)$,$ \(\chi_{1800}(1043, \cdot)\)

$1800$ $120$ $4$ \(\mathbb{Q}(i)\) odd ✓
1800.s

\(\chi_{1800}(593, \cdot)\)$,$ \(\chi_{1800}(1457, \cdot)\)

$1800$ $15$ $4$ \(\mathbb{Q}(i)\) even ✓
1800.t

\(\chi_{1800}(343, \cdot)\)$,$ \(\chi_{1800}(1207, \cdot)\)

$1800$ $20$ $4$ \(\mathbb{Q}(i)\) even
1800.u

\(\chi_{1800}(757, \cdot)\)$,$ \(\chi_{1800}(1693, \cdot)\)

$1800$ $40$ $4$ \(\mathbb{Q}(i)\) odd ✓
1800.v

\(\chi_{1800}(793, \cdot)\)$,$ \(\chi_{1800}(1657, \cdot)\)

$1800$ $5$ $4$ \(\mathbb{Q}(i)\) odd ✓
1800.w

\(\chi_{1800}(307, \cdot)\)$,$ \(\chi_{1800}(1243, \cdot)\)

$1800$ $40$ $4$ \(\mathbb{Q}(i)\) even ✓
1800.x

\(\chi_{1800}(557, \cdot)\)$,$ \(\chi_{1800}(1493, \cdot)\)

$1800$ $120$ $4$ \(\mathbb{Q}(i)\) even ✓
1800.y

\(\chi_{1800}(143, \cdot)\)$,$ \(\chi_{1800}(1007, \cdot)\)

$1800$ $60$ $4$ \(\mathbb{Q}(i)\) odd
1800.z

\(\chi_{1800}(361, \cdot)\)$, \cdots ,$\(\chi_{1800}(1441, \cdot)\)

$1800$ $25$ $5$ \(\Q(\zeta_{5})\) even ✓
1800.ba

\(\chi_{1800}(499, \cdot)\)$,$ \(\chi_{1800}(1699, \cdot)\)

$1800$ $360$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1800.bb

\(\chi_{1800}(101, \cdot)\)$,$ \(\chi_{1800}(1301, \cdot)\)

$1800$ $72$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
1800.bc

\(\chi_{1800}(599, \cdot)\)$,$ \(\chi_{1800}(1199, \cdot)\)

$1800$ $180$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1800.bd

\(\chi_{1800}(401, \cdot)\)$,$ \(\chi_{1800}(1001, \cdot)\)

$1800$ $9$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
1800.be

\(\chi_{1800}(299, \cdot)\)$,$ \(\chi_{1800}(1499, \cdot)\)

$1800$ $360$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1800.bf

\(\chi_{1800}(799, \cdot)\)$,$ \(\chi_{1800}(1399, \cdot)\)

$1800$ $180$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1800.bg

\(\chi_{1800}(301, \cdot)\)$,$ \(\chi_{1800}(1501, \cdot)\)

$1800$ $72$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
1800.bh

\(\chi_{1800}(551, \cdot)\)$,$ \(\chi_{1800}(1751, \cdot)\)

$1800$ $36$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1800.bi

\(\chi_{1800}(149, \cdot)\)$,$ \(\chi_{1800}(749, \cdot)\)

$1800$ $360$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1800.bj

\(\chi_{1800}(49, \cdot)\)$,$ \(\chi_{1800}(1249, \cdot)\)

$1800$ $45$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1800.bk

\(\chi_{1800}(1051, \cdot)\)$,$ \(\chi_{1800}(1651, \cdot)\)

$1800$ $72$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
1800.bl

\(\chi_{1800}(349, \cdot)\)$,$ \(\chi_{1800}(949, \cdot)\)

$1800$ $360$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1800.bm

\(\chi_{1800}(151, \cdot)\)$,$ \(\chi_{1800}(751, \cdot)\)

$1800$ $36$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1800.bn

\(\chi_{1800}(851, \cdot)\)$,$ \(\chi_{1800}(1451, \cdot)\)

$1800$ $72$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
1800.bo

\(\chi_{1800}(1049, \cdot)\)$,$ \(\chi_{1800}(1649, \cdot)\)

$1800$ $45$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1800.bp

\(\chi_{1800}(269, \cdot)\)$, \cdots ,$\(\chi_{1800}(1709, \cdot)\)

$1800$ $600$ $10$ \(\Q(\zeta_{5})\) odd ✓
1800.bq

\(\chi_{1800}(71, \cdot)\)$, \cdots ,$\(\chi_{1800}(1511, \cdot)\)

$1800$ $300$ $10$ \(\Q(\zeta_{5})\) even
1800.br

\(\chi_{1800}(91, \cdot)\)$, \cdots ,$\(\chi_{1800}(1531, \cdot)\)

$1800$ $200$ $10$ \(\Q(\zeta_{5})\) odd ✓
1800.bs

\(\chi_{1800}(289, \cdot)\)$, \cdots ,$\(\chi_{1800}(1729, \cdot)\)

$1800$ $25$ $10$ \(\Q(\zeta_{5})\) even ✓
1800.bt

\(\chi_{1800}(271, \cdot)\)$, \cdots ,$\(\chi_{1800}(1711, \cdot)\)

$1800$ $100$ $10$ \(\Q(\zeta_{5})\) odd
1800.bu

\(\chi_{1800}(109, \cdot)\)$, \cdots ,$\(\chi_{1800}(1189, \cdot)\)

$1800$ $200$ $10$ \(\Q(\zeta_{5})\) even ✓
1800.bv

\(\chi_{1800}(89, \cdot)\)$, \cdots ,$\(\chi_{1800}(1529, \cdot)\)

$1800$ $75$ $10$ \(\Q(\zeta_{5})\) odd ✓
1800.bw

\(\chi_{1800}(611, \cdot)\)$, \cdots ,$\(\chi_{1800}(1691, \cdot)\)

$1800$ $600$ $10$ \(\Q(\zeta_{5})\) even ✓
1800.bx

\(\chi_{1800}(19, \cdot)\)$, \cdots ,$\(\chi_{1800}(1459, \cdot)\)

$1800$ $200$ $10$ \(\Q(\zeta_{5})\) odd ✓
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