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

\(\chi_{585}(1, \cdot)\)

$585$ $1$ $1$ \(\Q\) even ✓ ✓
585.b

\(\chi_{585}(181, \cdot)\)

$585$ $13$ $2$ \(\Q\) even ✓ ✓
585.c

\(\chi_{585}(469, \cdot)\)

$585$ $5$ $2$ \(\Q\) even ✓ ✓
585.d

\(\chi_{585}(521, \cdot)\)

$585$ $3$ $2$ \(\Q\) odd ✓ ✓
585.e

\(\chi_{585}(584, \cdot)\)

$585$ $195$ $2$ \(\Q\) odd ✓ ✓
585.f

\(\chi_{585}(404, \cdot)\)

$585$ $15$ $2$ \(\Q\) odd ✓ ✓
585.g

\(\chi_{585}(116, \cdot)\)

$585$ $39$ $2$ \(\Q\) odd ✓ ✓
585.h

\(\chi_{585}(64, \cdot)\)

$585$ $65$ $2$ \(\Q\) even ✓ ✓
585.i

\(\chi_{585}(196, \cdot)\)$,$ \(\chi_{585}(391, \cdot)\)

$585$ $9$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
585.j

\(\chi_{585}(406, \cdot)\)$,$ \(\chi_{585}(451, \cdot)\)

$585$ $13$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
585.k

\(\chi_{585}(61, \cdot)\)$,$ \(\chi_{585}(211, \cdot)\)

$585$ $117$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
585.l

\(\chi_{585}(16, \cdot)\)$,$ \(\chi_{585}(256, \cdot)\)

$585$ $117$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
585.m

\(\chi_{585}(8, \cdot)\)$,$ \(\chi_{585}(512, \cdot)\)

$585$ $195$ $4$ \(\mathbb{Q}(i)\) odd ✓
585.n

\(\chi_{585}(307, \cdot)\)$,$ \(\chi_{585}(343, \cdot)\)

$585$ $65$ $4$ \(\mathbb{Q}(i)\) even ✓
585.o

\(\chi_{585}(298, \cdot)\)$,$ \(\chi_{585}(532, \cdot)\)

$585$ $65$ $4$ \(\mathbb{Q}(i)\) odd ✓
585.p

\(\chi_{585}(53, \cdot)\)$,$ \(\chi_{585}(287, \cdot)\)

$585$ $15$ $4$ \(\mathbb{Q}(i)\) even ✓
585.q

\(\chi_{585}(44, \cdot)\)$,$ \(\chi_{585}(359, \cdot)\)

$585$ $195$ $4$ \(\mathbb{Q}(i)\) even ✓
585.r

\(\chi_{585}(161, \cdot)\)$,$ \(\chi_{585}(476, \cdot)\)

$585$ $39$ $4$ \(\mathbb{Q}(i)\) even ✓
585.s

\(\chi_{585}(226, \cdot)\)$,$ \(\chi_{585}(541, \cdot)\)

$585$ $13$ $4$ \(\mathbb{Q}(i)\) odd ✓
585.t

\(\chi_{585}(109, \cdot)\)$,$ \(\chi_{585}(424, \cdot)\)

$585$ $65$ $4$ \(\mathbb{Q}(i)\) odd ✓
585.u

\(\chi_{585}(118, \cdot)\)$,$ \(\chi_{585}(352, \cdot)\)

$585$ $5$ $4$ \(\mathbb{Q}(i)\) odd ✓
585.v

\(\chi_{585}(233, \cdot)\)$,$ \(\chi_{585}(467, \cdot)\)

$585$ $195$ $4$ \(\mathbb{Q}(i)\) even ✓
585.w

\(\chi_{585}(73, \cdot)\)$,$ \(\chi_{585}(577, \cdot)\)

$585$ $65$ $4$ \(\mathbb{Q}(i)\) even ✓
585.x

\(\chi_{585}(242, \cdot)\)$,$ \(\chi_{585}(278, \cdot)\)

$585$ $195$ $4$ \(\mathbb{Q}(i)\) odd ✓
585.y

\(\chi_{585}(146, \cdot)\)$,$ \(\chi_{585}(581, \cdot)\)

$585$ $117$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
585.z

\(\chi_{585}(329, \cdot)\)$,$ \(\chi_{585}(569, \cdot)\)

$585$ $585$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
585.ba

\(\chi_{585}(121, \cdot)\)$,$ \(\chi_{585}(556, \cdot)\)

$585$ $117$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
585.bb

\(\chi_{585}(139, \cdot)\)$,$ \(\chi_{585}(484, \cdot)\)

$585$ $585$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
585.bc

\(\chi_{585}(56, \cdot)\)$,$ \(\chi_{585}(491, \cdot)\)

$585$ $117$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
585.bd

\(\chi_{585}(74, \cdot)\)$,$ \(\chi_{585}(419, \cdot)\)

$585$ $585$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
585.be

\(\chi_{585}(259, \cdot)\)$,$ \(\chi_{585}(454, \cdot)\)

$585$ $585$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
585.bf

\(\chi_{585}(199, \cdot)\)$,$ \(\chi_{585}(244, \cdot)\)

$585$ $65$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
585.bg

\(\chi_{585}(251, \cdot)\)$,$ \(\chi_{585}(296, \cdot)\)

$585$ $39$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
585.bh

\(\chi_{585}(311, \cdot)\)$,$ \(\chi_{585}(506, \cdot)\)

$585$ $117$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
585.bi

\(\chi_{585}(224, \cdot)\)$,$ \(\chi_{585}(269, \cdot)\)

$585$ $195$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
585.bj

\(\chi_{585}(14, \cdot)\)$,$ \(\chi_{585}(209, \cdot)\)

$585$ $45$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
585.bk

\(\chi_{585}(49, \cdot)\)$,$ \(\chi_{585}(394, \cdot)\)

$585$ $585$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
585.bl

\(\chi_{585}(94, \cdot)\)$,$ \(\chi_{585}(529, \cdot)\)

$585$ $585$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
585.bm

\(\chi_{585}(166, \cdot)\)$,$ \(\chi_{585}(511, \cdot)\)

$585$ $117$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
585.bn

\(\chi_{585}(134, \cdot)\)$,$ \(\chi_{585}(179, \cdot)\)

$585$ $195$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
585.bo

\(\chi_{585}(194, \cdot)\)$,$ \(\chi_{585}(389, \cdot)\)

$585$ $585$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
585.bp

\(\chi_{585}(341, \cdot)\)$,$ \(\chi_{585}(386, \cdot)\)

$585$ $39$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
585.bq

\(\chi_{585}(131, \cdot)\)$,$ \(\chi_{585}(326, \cdot)\)

$585$ $9$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
585.br

\(\chi_{585}(79, \cdot)\)$,$ \(\chi_{585}(274, \cdot)\)

$585$ $45$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
585.bs

\(\chi_{585}(289, \cdot)\)$,$ \(\chi_{585}(334, \cdot)\)

$585$ $65$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
585.bt

\(\chi_{585}(376, \cdot)\)$,$ \(\chi_{585}(571, \cdot)\)

$585$ $117$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
585.bu

\(\chi_{585}(316, \cdot)\)$,$ \(\chi_{585}(361, \cdot)\)

$585$ $13$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
585.bv

\(\chi_{585}(374, \cdot)\)$,$ \(\chi_{585}(524, \cdot)\)

$585$ $585$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
585.bw

\(\chi_{585}(191, \cdot)\)$,$ \(\chi_{585}(536, \cdot)\)

$585$ $117$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
585.bx

\(\chi_{585}(4, \cdot)\)$,$ \(\chi_{585}(439, \cdot)\)

$585$ $585$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
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