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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
1455.a

\(\chi_{1455}(1, \cdot)\)

$1455$ $1$ $1$ \(\Q\) even ✓ ✓
1455.b

\(\chi_{1455}(581, \cdot)\)

$1455$ $291$ $2$ \(\Q\) odd ✓ ✓
1455.c

\(\chi_{1455}(874, \cdot)\)

$1455$ $5$ $2$ \(\Q\) even ✓ ✓
1455.d

\(\chi_{1455}(971, \cdot)\)

$1455$ $3$ $2$ \(\Q\) odd ✓ ✓
1455.e

\(\chi_{1455}(484, \cdot)\)

$1455$ $485$ $2$ \(\Q\) even ✓ ✓
1455.f

\(\chi_{1455}(389, \cdot)\)

$1455$ $15$ $2$ \(\Q\) odd ✓ ✓
1455.g

\(\chi_{1455}(1066, \cdot)\)

$1455$ $97$ $2$ \(\Q\) even ✓ ✓
1455.h

\(\chi_{1455}(1454, \cdot)\)

$1455$ $1455$ $2$ \(\Q\) odd ✓ ✓ ✓
1455.i

\(\chi_{1455}(61, \cdot)\)$,$ \(\chi_{1455}(811, \cdot)\)

$1455$ $97$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
1455.j

\(\chi_{1455}(1186, \cdot)\)$,$ \(\chi_{1455}(1336, \cdot)\)

$1455$ $97$ $4$ \(\mathbb{Q}(i)\) even ✓
1455.k

\(\chi_{1455}(119, \cdot)\)$,$ \(\chi_{1455}(269, \cdot)\)

$1455$ $1455$ $4$ \(\mathbb{Q}(i)\) odd ✓ ✓
1455.l

\(\chi_{1455}(172, \cdot)\)$,$ \(\chi_{1455}(313, \cdot)\)

$1455$ $485$ $4$ \(\mathbb{Q}(i)\) odd ✓
1455.m

\(\chi_{1455}(1142, \cdot)\)$,$ \(\chi_{1455}(1283, \cdot)\)

$1455$ $1455$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
1455.n

\(\chi_{1455}(872, \cdot)\)$,$ \(\chi_{1455}(1163, \cdot)\)

$1455$ $1455$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
1455.o

\(\chi_{1455}(98, \cdot)\)$,$ \(\chi_{1455}(1262, \cdot)\)

$1455$ $15$ $4$ \(\mathbb{Q}(i)\) even ✓
1455.p

\(\chi_{1455}(292, \cdot)\)$,$ \(\chi_{1455}(583, \cdot)\)

$1455$ $5$ $4$ \(\mathbb{Q}(i)\) odd ✓
1455.q

\(\chi_{1455}(193, \cdot)\)$,$ \(\chi_{1455}(1357, \cdot)\)

$1455$ $485$ $4$ \(\mathbb{Q}(i)\) odd ✓
1455.r

\(\chi_{1455}(22, \cdot)\)$,$ \(\chi_{1455}(463, \cdot)\)

$1455$ $485$ $4$ \(\mathbb{Q}(i)\) odd ✓
1455.s

\(\chi_{1455}(992, \cdot)\)$,$ \(\chi_{1455}(1433, \cdot)\)

$1455$ $1455$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
1455.t

\(\chi_{1455}(604, \cdot)\)$,$ \(\chi_{1455}(754, \cdot)\)

$1455$ $485$ $4$ \(\mathbb{Q}(i)\) even ✓
1455.u

\(\chi_{1455}(701, \cdot)\)$,$ \(\chi_{1455}(851, \cdot)\)

$1455$ $291$ $4$ \(\mathbb{Q}(i)\) odd ✓
1455.v

\(\chi_{1455}(644, \cdot)\)$,$ \(\chi_{1455}(1394, \cdot)\)

$1455$ $1455$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
1455.w

\(\chi_{1455}(256, \cdot)\)$,$ \(\chi_{1455}(1006, \cdot)\)

$1455$ $97$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
1455.x

\(\chi_{1455}(449, \cdot)\)$,$ \(\chi_{1455}(1199, \cdot)\)

$1455$ $1455$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
1455.y

\(\chi_{1455}(424, \cdot)\)$,$ \(\chi_{1455}(1129, \cdot)\)

$1455$ $485$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
1455.z

\(\chi_{1455}(326, \cdot)\)$,$ \(\chi_{1455}(1031, \cdot)\)

$1455$ $291$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
1455.ba

\(\chi_{1455}(229, \cdot)\)$,$ \(\chi_{1455}(934, \cdot)\)

$1455$ $485$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓
1455.bb

\(\chi_{1455}(521, \cdot)\)$,$ \(\chi_{1455}(1226, \cdot)\)

$1455$ $291$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
1455.bc

\(\chi_{1455}(712, \cdot)\)$, \cdots ,$\(\chi_{1455}(1408, \cdot)\)

$1455$ $485$ $8$ \(\Q(\zeta_{8})\) odd ✓
1455.bd

\(\chi_{1455}(47, \cdot)\)$, \cdots ,$\(\chi_{1455}(743, \cdot)\)

$1455$ $1455$ $8$ \(\Q(\zeta_{8})\) even ✓ ✓
1455.be

\(\chi_{1455}(629, \cdot)\)$, \cdots ,$\(\chi_{1455}(1214, \cdot)\)

$1455$ $1455$ $8$ \(\Q(\zeta_{8})\) odd ✓ ✓
1455.bf

\(\chi_{1455}(64, \cdot)\)$, \cdots ,$\(\chi_{1455}(1294, \cdot)\)

$1455$ $485$ $8$ \(\Q(\zeta_{8})\) even ✓
1455.bg

\(\chi_{1455}(241, \cdot)\)$, \cdots ,$\(\chi_{1455}(826, \cdot)\)

$1455$ $97$ $8$ \(\Q(\zeta_{8})\) even ✓
1455.bh

\(\chi_{1455}(161, \cdot)\)$, \cdots ,$\(\chi_{1455}(1391, \cdot)\)

$1455$ $291$ $8$ \(\Q(\zeta_{8})\) odd ✓
1455.bi

\(\chi_{1455}(532, \cdot)\)$, \cdots ,$\(\chi_{1455}(1228, \cdot)\)

$1455$ $485$ $8$ \(\Q(\zeta_{8})\) odd ✓
1455.bj

\(\chi_{1455}(227, \cdot)\)$, \cdots ,$\(\chi_{1455}(923, \cdot)\)

$1455$ $1455$ $8$ \(\Q(\zeta_{8})\) even ✓ ✓
1455.bk

\(\chi_{1455}(491, \cdot)\)$, \cdots ,$\(\chi_{1455}(1061, \cdot)\)

$1455$ $291$ $12$ \(\Q(\zeta_{12})\) odd ✓
1455.bl

\(\chi_{1455}(394, \cdot)\)$, \cdots ,$\(\chi_{1455}(964, \cdot)\)

$1455$ $485$ $12$ \(\Q(\zeta_{12})\) even ✓
1455.bm

\(\chi_{1455}(113, \cdot)\)$, \cdots ,$\(\chi_{1455}(1352, \cdot)\)

$1455$ $1455$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
1455.bn

\(\chi_{1455}(103, \cdot)\)$, \cdots ,$\(\chi_{1455}(1342, \cdot)\)

$1455$ $485$ $12$ \(\Q(\zeta_{12})\) odd ✓
1455.bo

\(\chi_{1455}(133, \cdot)\)$, \cdots ,$\(\chi_{1455}(1297, \cdot)\)

$1455$ $485$ $12$ \(\Q(\zeta_{12})\) odd ✓
1455.bp

\(\chi_{1455}(352, \cdot)\)$, \cdots ,$\(\chi_{1455}(1393, \cdot)\)

$1455$ $485$ $12$ \(\Q(\zeta_{12})\) odd ✓
1455.bq

\(\chi_{1455}(158, \cdot)\)$, \cdots ,$\(\chi_{1455}(1322, \cdot)\)

$1455$ $1455$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
1455.br

\(\chi_{1455}(62, \cdot)\)$, \cdots ,$\(\chi_{1455}(1103, \cdot)\)

$1455$ $1455$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
1455.bs

\(\chi_{1455}(188, \cdot)\)$, \cdots ,$\(\chi_{1455}(1277, \cdot)\)

$1455$ $1455$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
1455.bt

\(\chi_{1455}(178, \cdot)\)$, \cdots ,$\(\chi_{1455}(1267, \cdot)\)

$1455$ $485$ $12$ \(\Q(\zeta_{12})\) odd ✓
1455.bu

\(\chi_{1455}(404, \cdot)\)$, \cdots ,$\(\chi_{1455}(1439, \cdot)\)

$1455$ $1455$ $12$ \(\Q(\zeta_{12})\) odd ✓ ✓
1455.bv

\(\chi_{1455}(16, \cdot)\)$, \cdots ,$\(\chi_{1455}(1051, \cdot)\)

$1455$ $97$ $12$ \(\Q(\zeta_{12})\) even ✓
1455.bw

\(\chi_{1455}(176, \cdot)\)$, \cdots ,$\(\chi_{1455}(1376, \cdot)\)

$1455$ $291$ $16$ \(\Q(\zeta_{16})\) odd ✓
1455.bx

\(\chi_{1455}(361, \cdot)\)$, \cdots ,$\(\chi_{1455}(1366, \cdot)\)

$1455$ $97$ $16$ \(\Q(\zeta_{16})\) even ✓
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