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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
740.a

\(\chi_{740}(1, \cdot)\)

$740$ $1$ $1$ \(\Q\) even ✓ ✓
740.b

\(\chi_{740}(591, \cdot)\)

$740$ $148$ $2$ \(\Q\) odd ✓ ✓
740.c

\(\chi_{740}(371, \cdot)\)

$740$ $4$ $2$ \(\Q\) odd ✓ ✓
740.d

\(\chi_{740}(149, \cdot)\)

$740$ $5$ $2$ \(\Q\) even ✓ ✓
740.e

\(\chi_{740}(369, \cdot)\)

$740$ $185$ $2$ \(\Q\) even ✓ ✓
740.f

\(\chi_{740}(519, \cdot)\)

$740$ $20$ $2$ \(\Q\) odd ✓ ✓
740.g

\(\chi_{740}(739, \cdot)\)

$740$ $740$ $2$ \(\Q\) odd ✓ ✓ ✓
740.h

\(\chi_{740}(221, \cdot)\)

$740$ $37$ $2$ \(\Q\) even ✓ ✓
740.i

\(\chi_{740}(121, \cdot)\)$,$ \(\chi_{740}(581, \cdot)\)

$740$ $37$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
740.j

\(\chi_{740}(401, \cdot)\)$,$ \(\chi_{740}(561, \cdot)\)

$740$ $37$ $4$ \(\mathbb{Q}(i)\) odd ✓
740.k

\(\chi_{740}(179, \cdot)\)$,$ \(\chi_{740}(339, \cdot)\)

$740$ $740$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
740.l

\(\chi_{740}(413, \cdot)\)$,$ \(\chi_{740}(697, \cdot)\)

$740$ $185$ $4$ \(\mathbb{Q}(i)\) even ✓
740.m

\(\chi_{740}(147, \cdot)\)$,$ \(\chi_{740}(443, \cdot)\)

$740$ $740$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
740.n

\(\chi_{740}(223, \cdot)\)$,$ \(\chi_{740}(667, \cdot)\)

$740$ $20$ $4$ \(\mathbb{Q}(i)\) even ✓
740.o

\(\chi_{740}(117, \cdot)\)$,$ \(\chi_{740}(253, \cdot)\)

$740$ $185$ $4$ \(\mathbb{Q}(i)\) even ✓
740.p

\(\chi_{740}(43, \cdot)\)$,$ \(\chi_{740}(327, \cdot)\)

$740$ $740$ $4$ \(\mathbb{Q}(i)\) odd ✓ ✓
740.q

\(\chi_{740}(297, \cdot)\)$,$ \(\chi_{740}(593, \cdot)\)

$740$ $5$ $4$ \(\mathbb{Q}(i)\) odd ✓
740.r

\(\chi_{740}(73, \cdot)\)$,$ \(\chi_{740}(517, \cdot)\)

$740$ $185$ $4$ \(\mathbb{Q}(i)\) odd ✓
740.s

\(\chi_{740}(487, \cdot)\)$,$ \(\chi_{740}(623, \cdot)\)

$740$ $740$ $4$ \(\mathbb{Q}(i)\) odd ✓ ✓
740.t

\(\chi_{740}(549, \cdot)\)$,$ \(\chi_{740}(709, \cdot)\)

$740$ $185$ $4$ \(\mathbb{Q}(i)\) odd ✓
740.u

\(\chi_{740}(31, \cdot)\)$,$ \(\chi_{740}(191, \cdot)\)

$740$ $148$ $4$ \(\mathbb{Q}(i)\) even ✓
740.v

\(\chi_{740}(159, \cdot)\)$,$ \(\chi_{740}(619, \cdot)\)

$740$ $740$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
740.w

\(\chi_{740}(359, \cdot)\)$,$ \(\chi_{740}(639, \cdot)\)

$740$ $740$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
740.x

\(\chi_{740}(101, \cdot)\)$,$ \(\chi_{740}(381, \cdot)\)

$740$ $37$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
740.y

\(\chi_{740}(211, \cdot)\)$,$ \(\chi_{740}(491, \cdot)\)

$740$ $148$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
740.z

\(\chi_{740}(11, \cdot)\)$,$ \(\chi_{740}(471, \cdot)\)

$740$ $148$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
740.ba

\(\chi_{740}(249, \cdot)\)$,$ \(\chi_{740}(529, \cdot)\)

$740$ $185$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
740.bb

\(\chi_{740}(269, \cdot)\)$,$ \(\chi_{740}(729, \cdot)\)

$740$ $185$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
740.bc

\(\chi_{740}(81, \cdot)\)$, \cdots ,$\(\chi_{740}(641, \cdot)\)

$740$ $37$ $9$ \(\Q(\zeta_{9})\) even ✓
740.bd

\(\chi_{740}(29, \cdot)\)$, \cdots ,$\(\chi_{740}(689, \cdot)\)

$740$ $185$ $12$ \(\Q(\zeta_{12})\) odd ✓
740.be

\(\chi_{740}(51, \cdot)\)$, \cdots ,$\(\chi_{740}(711, \cdot)\)

$740$ $148$ $12$ \(\Q(\zeta_{12})\) even ✓
740.bf

\(\chi_{740}(97, \cdot)\)$, \cdots ,$\(\chi_{740}(637, \cdot)\)

$740$ $185$ $12$ \(\Q(\zeta_{12})\) even ✓
740.bg

\(\chi_{740}(47, \cdot)\)$, \cdots ,$\(\chi_{740}(507, \cdot)\)

$740$ $740$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
740.bh

\(\chi_{740}(27, \cdot)\)$, \cdots ,$\(\chi_{740}(603, \cdot)\)

$740$ $740$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
740.bi

\(\chi_{740}(177, \cdot)\)$, \cdots ,$\(\chi_{740}(717, \cdot)\)

$740$ $185$ $12$ \(\Q(\zeta_{12})\) even ✓
740.bj

\(\chi_{740}(103, \cdot)\)$, \cdots ,$\(\chi_{740}(643, \cdot)\)

$740$ $740$ $12$ \(\Q(\zeta_{12})\) odd ✓ ✓
740.bk

\(\chi_{740}(233, \cdot)\)$, \cdots ,$\(\chi_{740}(693, \cdot)\)

$740$ $185$ $12$ \(\Q(\zeta_{12})\) odd ✓
740.bl

\(\chi_{740}(137, \cdot)\)$, \cdots ,$\(\chi_{740}(713, \cdot)\)

$740$ $185$ $12$ \(\Q(\zeta_{12})\) odd ✓
740.bm

\(\chi_{740}(23, \cdot)\)$, \cdots ,$\(\chi_{740}(563, \cdot)\)

$740$ $740$ $12$ \(\Q(\zeta_{12})\) odd ✓ ✓
740.bn

\(\chi_{740}(341, \cdot)\)$, \cdots ,$\(\chi_{740}(621, \cdot)\)

$740$ $37$ $12$ \(\Q(\zeta_{12})\) odd ✓
740.bo

\(\chi_{740}(119, \cdot)\)$, \cdots ,$\(\chi_{740}(399, \cdot)\)

$740$ $740$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
740.bp

\(\chi_{740}(169, \cdot)\)$, \cdots ,$\(\chi_{740}(669, \cdot)\)

$740$ $185$ $18$ \(\Q(\zeta_{9})\) even ✓
740.bq

\(\chi_{740}(21, \cdot)\)$, \cdots ,$\(\chi_{740}(521, \cdot)\)

$740$ $37$ $18$ \(\Q(\zeta_{9})\) even ✓
740.br

\(\chi_{740}(9, \cdot)\)$, \cdots ,$\(\chi_{740}(589, \cdot)\)

$740$ $185$ $18$ \(\Q(\zeta_{9})\) even ✓
740.bs

\(\chi_{740}(219, \cdot)\)$, \cdots ,$\(\chi_{740}(719, \cdot)\)

$740$ $740$ $18$ \(\Q(\zeta_{9})\) odd ✓ ✓
740.bt

\(\chi_{740}(151, \cdot)\)$, \cdots ,$\(\chi_{740}(731, \cdot)\)

$740$ $148$ $18$ \(\Q(\zeta_{9})\) odd ✓
740.bu

\(\chi_{740}(99, \cdot)\)$, \cdots ,$\(\chi_{740}(659, \cdot)\)

$740$ $740$ $18$ \(\Q(\zeta_{9})\) odd ✓ ✓
740.bv

\(\chi_{740}(71, \cdot)\)$, \cdots ,$\(\chi_{740}(571, \cdot)\)

$740$ $148$ $18$ \(\Q(\zeta_{9})\) odd ✓
740.bw

\(\chi_{740}(183, \cdot)\)$, \cdots ,$\(\chi_{740}(727, \cdot)\)

$740$ $740$ $36$ \(\Q(\zeta_{36})\) odd ✓ ✓
740.bx

\(\chi_{740}(91, \cdot)\)$, \cdots ,$\(\chi_{740}(671, \cdot)\)

$740$ $148$ $36$ \(\Q(\zeta_{36})\) even ✓
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