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Modulus Conductor Order Induced by
Parity Primitive Minimal Real
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Results (48 matches)

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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
1225.a

\(\chi_{1225}(1, \cdot)\)

$1225$ $1$ $1$ \(\Q\) even ✓ ✓
1225.b

\(\chi_{1225}(99, \cdot)\)

$1225$ $5$ $2$ \(\Q\) even ✓
1225.c

\(\chi_{1225}(1224, \cdot)\)

$1225$ $35$ $2$ \(\Q\) odd ✓
1225.d

\(\chi_{1225}(1126, \cdot)\)

$1225$ $7$ $2$ \(\Q\) odd ✓ ✓
1225.e

\(\chi_{1225}(226, \cdot)\)$,$ \(\chi_{1225}(851, \cdot)\)

$1225$ $7$ $3$ \(\mathbb{Q}(\zeta_3)\) even
1225.f

\(\chi_{1225}(293, \cdot)\)$,$ \(\chi_{1225}(832, \cdot)\)

$1225$ $35$ $4$ \(\mathbb{Q}(i)\) even ✓
1225.g

\(\chi_{1225}(393, \cdot)\)$,$ \(\chi_{1225}(932, \cdot)\)

$1225$ $5$ $4$ \(\mathbb{Q}(i)\) odd ✓
1225.h

\(\chi_{1225}(246, \cdot)\)$, \cdots ,$\(\chi_{1225}(981, \cdot)\)

$1225$ $25$ $5$ \(\Q(\zeta_{5})\) even ✓
1225.i

\(\chi_{1225}(276, \cdot)\)$,$ \(\chi_{1225}(901, \cdot)\)

$1225$ $7$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1225.j

\(\chi_{1225}(374, \cdot)\)$,$ \(\chi_{1225}(999, \cdot)\)

$1225$ $35$ $6$ \(\mathbb{Q}(\zeta_3)\) odd
1225.k

\(\chi_{1225}(324, \cdot)\)$,$ \(\chi_{1225}(949, \cdot)\)

$1225$ $35$ $6$ \(\mathbb{Q}(\zeta_3)\) even
1225.l

\(\chi_{1225}(176, \cdot)\)$, \cdots ,$\(\chi_{1225}(1051, \cdot)\)

$1225$ $49$ $7$ \(\Q(\zeta_{7})\) even ✓
1225.m

\(\chi_{1225}(146, \cdot)\)$, \cdots ,$\(\chi_{1225}(881, \cdot)\)

$1225$ $175$ $10$ \(\Q(\zeta_{5})\) odd ✓
1225.n

\(\chi_{1225}(244, \cdot)\)$, \cdots ,$\(\chi_{1225}(979, \cdot)\)

$1225$ $175$ $10$ \(\Q(\zeta_{5})\) odd ✓
1225.o

\(\chi_{1225}(344, \cdot)\)$, \cdots ,$\(\chi_{1225}(1079, \cdot)\)

$1225$ $25$ $10$ \(\Q(\zeta_{5})\) even ✓
1225.p

\(\chi_{1225}(68, \cdot)\)$, \cdots ,$\(\chi_{1225}(1207, \cdot)\)

$1225$ $35$ $12$ \(\Q(\zeta_{12})\) even
1225.q

\(\chi_{1225}(18, \cdot)\)$, \cdots ,$\(\chi_{1225}(1157, \cdot)\)

$1225$ $35$ $12$ \(\Q(\zeta_{12})\) odd
1225.r

\(\chi_{1225}(76, \cdot)\)$, \cdots ,$\(\chi_{1225}(951, \cdot)\)

$1225$ $49$ $14$ \(\Q(\zeta_{7})\) odd ✓
1225.s

\(\chi_{1225}(174, \cdot)\)$, \cdots ,$\(\chi_{1225}(1049, \cdot)\)

$1225$ $245$ $14$ \(\Q(\zeta_{7})\) odd
1225.t

\(\chi_{1225}(274, \cdot)\)$, \cdots ,$\(\chi_{1225}(1149, \cdot)\)

$1225$ $245$ $14$ \(\Q(\zeta_{7})\) even
1225.u

\(\chi_{1225}(116, \cdot)\)$, \cdots ,$\(\chi_{1225}(1206, \cdot)\)

$1225$ $175$ $15$ \(\Q(\zeta_{15})\) even
1225.v

\(\chi_{1225}(148, \cdot)\)$, \cdots ,$\(\chi_{1225}(1177, \cdot)\)

$1225$ $25$ $20$ \(\Q(\zeta_{20})\) odd ✓
1225.w

\(\chi_{1225}(48, \cdot)\)$, \cdots ,$\(\chi_{1225}(1077, \cdot)\)

$1225$ $175$ $20$ \(\Q(\zeta_{20})\) even ✓
1225.x

\(\chi_{1225}(51, \cdot)\)$, \cdots ,$\(\chi_{1225}(1201, \cdot)\)

$1225$ $49$ $21$ \(\Q(\zeta_{21})\) even ✓
1225.y

\(\chi_{1225}(43, \cdot)\)$, \cdots ,$\(\chi_{1225}(1107, \cdot)\)

$1225$ $245$ $28$ \(\Q(\zeta_{28})\) odd ✓
1225.z

\(\chi_{1225}(118, \cdot)\)$, \cdots ,$\(\chi_{1225}(1182, \cdot)\)

$1225$ $245$ $28$ \(\Q(\zeta_{28})\) even ✓
1225.ba

\(\chi_{1225}(79, \cdot)\)$, \cdots ,$\(\chi_{1225}(1194, \cdot)\)

$1225$ $175$ $30$ \(\Q(\zeta_{15})\) even
1225.bb

\(\chi_{1225}(19, \cdot)\)$, \cdots ,$\(\chi_{1225}(1109, \cdot)\)

$1225$ $175$ $30$ \(\Q(\zeta_{15})\) odd
1225.bc

\(\chi_{1225}(31, \cdot)\)$, \cdots ,$\(\chi_{1225}(1146, \cdot)\)

$1225$ $175$ $30$ \(\Q(\zeta_{15})\) odd
1225.bd

\(\chi_{1225}(36, \cdot)\)$, \cdots ,$\(\chi_{1225}(1191, \cdot)\)

$1225$ $1225$ $35$ $\Q(\zeta_{35})$ even ✓ ✓
1225.be

\(\chi_{1225}(74, \cdot)\)$, \cdots ,$\(\chi_{1225}(1199, \cdot)\)

$1225$ $245$ $42$ \(\Q(\zeta_{21})\) even
1225.bf

\(\chi_{1225}(24, \cdot)\)$, \cdots ,$\(\chi_{1225}(1174, \cdot)\)

$1225$ $245$ $42$ \(\Q(\zeta_{21})\) odd
1225.bg

\(\chi_{1225}(26, \cdot)\)$, \cdots ,$\(\chi_{1225}(1151, \cdot)\)

$1225$ $49$ $42$ \(\Q(\zeta_{21})\) odd ✓
1225.bh

\(\chi_{1225}(67, \cdot)\)$, \cdots ,$\(\chi_{1225}(1108, \cdot)\)

$1225$ $175$ $60$ \(\Q(\zeta_{60})\) odd
1225.bi

\(\chi_{1225}(117, \cdot)\)$, \cdots ,$\(\chi_{1225}(1158, \cdot)\)

$1225$ $175$ $60$ \(\Q(\zeta_{60})\) even
1225.bj

\(\chi_{1225}(29, \cdot)\)$, \cdots ,$\(\chi_{1225}(1219, \cdot)\)

$1225$ $1225$ $70$ $\Q(\zeta_{35})$ even ✓ ✓
1225.bk

\(\chi_{1225}(34, \cdot)\)$, \cdots ,$\(\chi_{1225}(1189, \cdot)\)

$1225$ $1225$ $70$ $\Q(\zeta_{35})$ odd ✓ ✓
1225.bl

\(\chi_{1225}(6, \cdot)\)$, \cdots ,$\(\chi_{1225}(1196, \cdot)\)

$1225$ $1225$ $70$ $\Q(\zeta_{35})$ odd ✓ ✓
1225.bm

\(\chi_{1225}(32, \cdot)\)$, \cdots ,$\(\chi_{1225}(1143, \cdot)\)

$1225$ $245$ $84$ $\Q(\zeta_{84})$ odd ✓
1225.bn

\(\chi_{1225}(82, \cdot)\)$, \cdots ,$\(\chi_{1225}(1193, \cdot)\)

$1225$ $245$ $84$ $\Q(\zeta_{84})$ even ✓
1225.bo

\(\chi_{1225}(11, \cdot)\)$, \cdots ,$\(\chi_{1225}(1171, \cdot)\)

$1225$ $1225$ $105$ $\Q(\zeta_{105})$ even ✓ ✓
1225.bp

\(\chi_{1225}(13, \cdot)\)$, \cdots ,$\(\chi_{1225}(1217, \cdot)\)

$1225$ $1225$ $140$ $\Q(\zeta_{140})$ even ✓ ✓
1225.bq

\(\chi_{1225}(8, \cdot)\)$, \cdots ,$\(\chi_{1225}(1212, \cdot)\)

$1225$ $1225$ $140$ $\Q(\zeta_{140})$ odd ✓ ✓
1225.br

\(\chi_{1225}(61, \cdot)\)$, \cdots ,$\(\chi_{1225}(1221, \cdot)\)

$1225$ $1225$ $210$ $\Q(\zeta_{105})$ odd ✓ ✓
1225.bs

\(\chi_{1225}(54, \cdot)\)$, \cdots ,$\(\chi_{1225}(1214, \cdot)\)

$1225$ $1225$ $210$ $\Q(\zeta_{105})$ odd ✓ ✓
1225.bt

\(\chi_{1225}(4, \cdot)\)$, \cdots ,$\(\chi_{1225}(1164, \cdot)\)

$1225$ $1225$ $210$ $\Q(\zeta_{105})$ even ✓ ✓
1225.bu

\(\chi_{1225}(3, \cdot)\)$, \cdots ,$\(\chi_{1225}(1223, \cdot)\)

$1225$ $1225$ $420$ $\Q(\zeta_{420})$ even ✓ ✓
1225.bv

\(\chi_{1225}(2, \cdot)\)$, \cdots ,$\(\chi_{1225}(1222, \cdot)\)

$1225$ $1225$ $420$ $\Q(\zeta_{420})$ odd ✓ ✓
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