Dirichlet character search results

The results below are complete, since the LMFDB contains all Dirichlet characters with modulus at most a million

Results (48 matches)

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Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
735.a	\(\chi_{735}(1, \cdot)\)	$735$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓		✓
735.b	\(\chi_{735}(146, \cdot)\)	$735$	$21$	$2$	\(\Q(\sqrt{21}) \)	\(\Q\)	even	✓		✓
735.c	\(\chi_{735}(491, \cdot)\)	$735$	$3$	$2$	\(\Q(\sqrt{-3}) \)	\(\Q\)	odd	✓		✓
735.d	\(\chi_{735}(589, \cdot)\)	$735$	$5$	$2$	\(\Q(\sqrt{5}) \)	\(\Q\)	even	✓		✓
735.e	\(\chi_{735}(244, \cdot)\)	$735$	$35$	$2$	\(\Q(\sqrt{-35}) \)	\(\Q\)	odd	✓		✓
735.f	\(\chi_{735}(344, \cdot)\)	$735$	$15$	$2$	\(\Q(\sqrt{-15}) \)	\(\Q\)	odd	✓		✓
735.g	\(\chi_{735}(734, \cdot)\)	$735$	$105$	$2$	\(\Q(\sqrt{105}) \)	\(\Q\)	even	✓		✓
735.h	\(\chi_{735}(391, \cdot)\)	$735$	$7$	$2$	\(\Q(\sqrt{-7}) \)	\(\Q\)	odd	✓		✓
735.i	\(\chi_{735}(226, \cdot)\)$,$ \(\chi_{735}(361, \cdot)\)	$735$	$7$	$3$	\(\Q(\zeta_{7})^+\)	\(\mathbb{Q}(\zeta_3)\)	even
735.j	\(\chi_{735}(197, \cdot)\)$,$ \(\chi_{735}(638, \cdot)\)	$735$	$15$	$4$	\(\Q(\zeta_{15})^+\)	\(\mathbb{Q}(i)\)	even			✓
735.k	\(\chi_{735}(293, \cdot)\)$,$ \(\chi_{735}(587, \cdot)\)	$735$	$105$	$4$	4.0.55125.1	\(\mathbb{Q}(i)\)	odd			✓
735.l	\(\chi_{735}(148, \cdot)\)$,$ \(\chi_{735}(442, \cdot)\)	$735$	$5$	$4$	\(\Q(\zeta_{5})\)	\(\mathbb{Q}(i)\)	odd			✓
735.m	\(\chi_{735}(97, \cdot)\)$,$ \(\chi_{735}(538, \cdot)\)	$735$	$35$	$4$	4.4.6125.1	\(\mathbb{Q}(i)\)	even			✓
735.n	\(\chi_{735}(31, \cdot)\)$,$ \(\chi_{735}(166, \cdot)\)	$735$	$7$	$6$	\(\Q(\zeta_{7})\)	\(\mathbb{Q}(\zeta_3)\)	odd
735.o	\(\chi_{735}(569, \cdot)\)$,$ \(\chi_{735}(704, \cdot)\)	$735$	$105$	$6$	6.0.8103375.1	\(\mathbb{Q}(\zeta_3)\)	odd
735.p	\(\chi_{735}(374, \cdot)\)$,$ \(\chi_{735}(509, \cdot)\)	$735$	$105$	$6$	6.6.56723625.1	\(\mathbb{Q}(\zeta_3)\)	even
735.q	\(\chi_{735}(79, \cdot)\)$,$ \(\chi_{735}(214, \cdot)\)	$735$	$35$	$6$	6.6.300125.1	\(\mathbb{Q}(\zeta_3)\)	even
735.r	\(\chi_{735}(19, \cdot)\)$,$ \(\chi_{735}(619, \cdot)\)	$735$	$35$	$6$	6.0.2100875.1	\(\mathbb{Q}(\zeta_3)\)	odd
735.s	\(\chi_{735}(521, \cdot)\)$,$ \(\chi_{735}(656, \cdot)\)	$735$	$21$	$6$	\(\Q(\zeta_{21})^+\)	\(\mathbb{Q}(\zeta_3)\)	even
735.t	\(\chi_{735}(116, \cdot)\)$,$ \(\chi_{735}(716, \cdot)\)	$735$	$21$	$6$	6.0.64827.1	\(\mathbb{Q}(\zeta_3)\)	odd
735.u	\(\chi_{735}(106, \cdot)\)$, \cdots ,$\(\chi_{735}(631, \cdot)\)	$735$	$49$	$7$	7.7.13841287201.1	\(\Q(\zeta_{7})\)	even			✓
735.v	\(\chi_{735}(178, \cdot)\)$, \cdots ,$\(\chi_{735}(607, \cdot)\)	$735$	$35$	$12$	\(\Q(\zeta_{35})^+\)	\(\Q(\zeta_{12})\)	even
735.w	\(\chi_{735}(67, \cdot)\)$, \cdots ,$\(\chi_{735}(667, \cdot)\)	$735$	$35$	$12$	12.0.11259376953125.1	\(\Q(\zeta_{12})\)	odd
735.x	\(\chi_{735}(68, \cdot)\)$, \cdots ,$\(\chi_{735}(668, \cdot)\)	$735$	$105$	$12$	12.0.402196204142578125.1	\(\Q(\zeta_{12})\)	odd
735.y	\(\chi_{735}(128, \cdot)\)$, \cdots ,$\(\chi_{735}(557, \cdot)\)	$735$	$105$	$12$	12.12.8208085798828125.1	\(\Q(\zeta_{12})\)	even
735.z	\(\chi_{735}(76, \cdot)\)$, \cdots ,$\(\chi_{735}(706, \cdot)\)	$735$	$49$	$14$	not computed	\(\Q(\zeta_{7})\)	odd			✓
735.ba	\(\chi_{735}(104, \cdot)\)$, \cdots ,$\(\chi_{735}(629, \cdot)\)	$735$	$735$	$14$	not computed	\(\Q(\zeta_{7})\)	even		✓	✓
735.bb	\(\chi_{735}(29, \cdot)\)$, \cdots ,$\(\chi_{735}(659, \cdot)\)	$735$	$735$	$14$	not computed	\(\Q(\zeta_{7})\)	odd		✓	✓
735.bc	\(\chi_{735}(34, \cdot)\)$, \cdots ,$\(\chi_{735}(664, \cdot)\)	$735$	$245$	$14$	not computed	\(\Q(\zeta_{7})\)	odd			✓
735.bd	\(\chi_{735}(64, \cdot)\)$, \cdots ,$\(\chi_{735}(694, \cdot)\)	$735$	$245$	$14$	not computed	\(\Q(\zeta_{7})\)	even			✓
735.be	\(\chi_{735}(71, \cdot)\)$, \cdots ,$\(\chi_{735}(701, \cdot)\)	$735$	$147$	$14$	not computed	\(\Q(\zeta_{7})\)	odd			✓
735.bf	\(\chi_{735}(41, \cdot)\)$, \cdots ,$\(\chi_{735}(671, \cdot)\)	$735$	$147$	$14$	not computed	\(\Q(\zeta_{7})\)	even			✓
735.bg	\(\chi_{735}(16, \cdot)\)$, \cdots ,$\(\chi_{735}(676, \cdot)\)	$735$	$49$	$21$	not computed	\(\Q(\zeta_{21})\)	even			✓
735.bh	\(\chi_{735}(22, \cdot)\)$, \cdots ,$\(\chi_{735}(673, \cdot)\)	$735$	$245$	$28$	not computed	\(\Q(\zeta_{28})\)	odd			✓
735.bi	\(\chi_{735}(13, \cdot)\)$, \cdots ,$\(\chi_{735}(727, \cdot)\)	$735$	$245$	$28$	not computed	\(\Q(\zeta_{28})\)	even			✓
735.bj	\(\chi_{735}(8, \cdot)\)$, \cdots ,$\(\chi_{735}(722, \cdot)\)	$735$	$735$	$28$	not computed	\(\Q(\zeta_{28})\)	even		✓	✓
735.bk	\(\chi_{735}(62, \cdot)\)$, \cdots ,$\(\chi_{735}(713, \cdot)\)	$735$	$735$	$28$	not computed	\(\Q(\zeta_{28})\)	odd		✓	✓
735.bl	\(\chi_{735}(11, \cdot)\)$, \cdots ,$\(\chi_{735}(641, \cdot)\)	$735$	$147$	$42$	not computed	\(\Q(\zeta_{21})\)	odd			✓
735.bm	\(\chi_{735}(26, \cdot)\)$, \cdots ,$\(\chi_{735}(731, \cdot)\)	$735$	$147$	$42$	not computed	\(\Q(\zeta_{21})\)	even			✓
735.bn	\(\chi_{735}(94, \cdot)\)$, \cdots ,$\(\chi_{735}(724, \cdot)\)	$735$	$245$	$42$	not computed	\(\Q(\zeta_{21})\)	odd			✓
735.bo	\(\chi_{735}(4, \cdot)\)$, \cdots ,$\(\chi_{735}(709, \cdot)\)	$735$	$245$	$42$	not computed	\(\Q(\zeta_{21})\)	even			✓
735.bp	\(\chi_{735}(59, \cdot)\)$, \cdots ,$\(\chi_{735}(719, \cdot)\)	$735$	$735$	$42$	not computed	\(\Q(\zeta_{21})\)	even		✓	✓
735.bq	\(\chi_{735}(44, \cdot)\)$, \cdots ,$\(\chi_{735}(674, \cdot)\)	$735$	$735$	$42$	not computed	\(\Q(\zeta_{21})\)	odd		✓	✓
735.br	\(\chi_{735}(61, \cdot)\)$, \cdots ,$\(\chi_{735}(691, \cdot)\)	$735$	$49$	$42$	not computed	\(\Q(\zeta_{21})\)	odd			✓
735.bs	\(\chi_{735}(17, \cdot)\)$, \cdots ,$\(\chi_{735}(698, \cdot)\)	$735$	$735$	$84$	not computed	$\Q(\zeta_{84})$	odd		✓	✓
735.bt	\(\chi_{735}(2, \cdot)\)$, \cdots ,$\(\chi_{735}(683, \cdot)\)	$735$	$735$	$84$	not computed	$\Q(\zeta_{84})$	even		✓	✓
735.bu	\(\chi_{735}(52, \cdot)\)$, \cdots ,$\(\chi_{735}(733, \cdot)\)	$735$	$245$	$84$	not computed	$\Q(\zeta_{84})$	even			✓
735.bv	\(\chi_{735}(37, \cdot)\)$, \cdots ,$\(\chi_{735}(718, \cdot)\)	$735$	$245$	$84$	not computed	$\Q(\zeta_{84})$	odd			✓

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