Dirichlet character search results

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

Results (1-50 of 144 matches)

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Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
1040.a	\(\chi_{1040}(1, \cdot)\)	$1040$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓
1040.b	\(\chi_{1040}(519, \cdot)\)	$1040$	$520$	$2$	\(\Q(\sqrt{-130}) \)	\(\Q\)	odd	✓
1040.c	\(\chi_{1040}(911, \cdot)\)	$1040$	$4$	$2$	\(\Q(\sqrt{-1}) \)	\(\Q\)	odd	✓		✓
1040.d	\(\chi_{1040}(209, \cdot)\)	$1040$	$5$	$2$	\(\Q(\sqrt{5}) \)	\(\Q\)	even	✓
1040.e	\(\chi_{1040}(441, \cdot)\)	$1040$	$104$	$2$	\(\Q(\sqrt{26}) \)	\(\Q\)	even	✓
1040.f	\(\chi_{1040}(129, \cdot)\)	$1040$	$65$	$2$	\(\Q(\sqrt{65}) \)	\(\Q\)	even	✓
1040.g	\(\chi_{1040}(521, \cdot)\)	$1040$	$8$	$2$	\(\Q(\sqrt{2}) \)	\(\Q\)	even	✓
1040.h	\(\chi_{1040}(599, \cdot)\)	$1040$	$40$	$2$	\(\Q(\sqrt{-10}) \)	\(\Q\)	odd	✓
1040.i	\(\chi_{1040}(831, \cdot)\)	$1040$	$52$	$2$	\(\Q(\sqrt{-13}) \)	\(\Q\)	odd	✓		✓
1040.j	\(\chi_{1040}(729, \cdot)\)	$1040$	$40$	$2$	\(\Q(\sqrt{10}) \)	\(\Q\)	even	✓
1040.k	\(\chi_{1040}(961, \cdot)\)	$1040$	$13$	$2$	\(\Q(\sqrt{13}) \)	\(\Q\)	even	✓
1040.l	\(\chi_{1040}(1039, \cdot)\)	$1040$	$260$	$2$	\(\Q(\sqrt{-65}) \)	\(\Q\)	odd	✓		✓
1040.m	\(\chi_{1040}(391, \cdot)\)	$1040$	$8$	$2$	\(\Q(\sqrt{-2}) \)	\(\Q\)	odd	✓
1040.n	\(\chi_{1040}(79, \cdot)\)	$1040$	$20$	$2$	\(\Q(\sqrt{-5}) \)	\(\Q\)	odd	✓		✓
1040.o	\(\chi_{1040}(311, \cdot)\)	$1040$	$104$	$2$	\(\Q(\sqrt{-26}) \)	\(\Q\)	odd	✓
1040.p	\(\chi_{1040}(649, \cdot)\)	$1040$	$520$	$2$	\(\Q(\sqrt{130}) \)	\(\Q\)	even	✓
1040.q	\(\chi_{1040}(81, \cdot)\)$,$ \(\chi_{1040}(321, \cdot)\)	$1040$	$13$	$3$	3.3.169.1	\(\mathbb{Q}(\zeta_3)\)	even
1040.r	\(\chi_{1040}(203, \cdot)\)$,$ \(\chi_{1040}(707, \cdot)\)	$1040$	$1040$	$4$	4.0.562432000.5	\(\mathbb{Q}(i)\)	odd		✓	✓
1040.s	\(\chi_{1040}(437, \cdot)\)$,$ \(\chi_{1040}(733, \cdot)\)	$1040$	$1040$	$4$	4.4.562432000.1	\(\mathbb{Q}(i)\)	even		✓	✓
1040.t	\(\chi_{1040}(281, \cdot)\)$,$ \(\chi_{1040}(681, \cdot)\)	$1040$	$104$	$4$	4.0.140608.2	\(\mathbb{Q}(i)\)	odd
1040.u	\(\chi_{1040}(31, \cdot)\)$,$ \(\chi_{1040}(671, \cdot)\)	$1040$	$52$	$4$	4.4.35152.1	\(\mathbb{Q}(i)\)	even			✓
1040.v	\(\chi_{1040}(443, \cdot)\)$,$ \(\chi_{1040}(547, \cdot)\)	$1040$	$80$	$4$	4.4.256000.2	\(\mathbb{Q}(i)\)	even			✓
1040.w	\(\chi_{1040}(493, \cdot)\)$,$ \(\chi_{1040}(597, \cdot)\)	$1040$	$1040$	$4$	4.0.43264000.2	\(\mathbb{Q}(i)\)	odd		✓	✓
1040.x	\(\chi_{1040}(573, \cdot)\)$,$ \(\chi_{1040}(677, \cdot)\)	$1040$	$80$	$4$	4.0.256000.4	\(\mathbb{Q}(i)\)	odd			✓
1040.y	\(\chi_{1040}(363, \cdot)\)$,$ \(\chi_{1040}(467, \cdot)\)	$1040$	$1040$	$4$	4.4.43264000.2	\(\mathbb{Q}(i)\)	even		✓	✓
1040.z	\(\chi_{1040}(359, \cdot)\)$,$ \(\chi_{1040}(759, \cdot)\)	$1040$	$520$	$4$	4.4.3515200.1	\(\mathbb{Q}(i)\)	even
1040.ba	\(\chi_{1040}(369, \cdot)\)$,$ \(\chi_{1040}(1009, \cdot)\)	$1040$	$65$	$4$	4.0.54925.1	\(\mathbb{Q}(i)\)	odd
1040.bb	\(\chi_{1040}(333, \cdot)\)$,$ \(\chi_{1040}(837, \cdot)\)	$1040$	$1040$	$4$	4.4.562432000.3	\(\mathbb{Q}(i)\)	even		✓	✓
1040.bc	\(\chi_{1040}(307, \cdot)\)$,$ \(\chi_{1040}(603, \cdot)\)	$1040$	$1040$	$4$	4.0.562432000.8	\(\mathbb{Q}(i)\)	odd		✓	✓
1040.bd	\(\chi_{1040}(339, \cdot)\)$,$ \(\chi_{1040}(859, \cdot)\)	$1040$	$80$	$4$	4.0.51200.2	\(\mathbb{Q}(i)\)	odd			✓
1040.be	\(\chi_{1040}(389, \cdot)\)$,$ \(\chi_{1040}(909, \cdot)\)	$1040$	$1040$	$4$	4.4.8652800.1	\(\mathbb{Q}(i)\)	even		✓	✓
1040.bf	\(\chi_{1040}(47, \cdot)\)$,$ \(\chi_{1040}(863, \cdot)\)	$1040$	$260$	$4$	4.0.4394000.1	\(\mathbb{Q}(i)\)	odd			✓
1040.bg	\(\chi_{1040}(577, \cdot)\)$,$ \(\chi_{1040}(593, \cdot)\)	$1040$	$65$	$4$	4.4.274625.1	\(\mathbb{Q}(i)\)	even
1040.bh	\(\chi_{1040}(343, \cdot)\)$,$ \(\chi_{1040}(567, \cdot)\)	$1040$	$520$	$4$	4.0.17576000.1	\(\mathbb{Q}(i)\)	odd
1040.bi	\(\chi_{1040}(57, \cdot)\)$,$ \(\chi_{1040}(73, \cdot)\)	$1040$	$520$	$4$	4.4.17576000.2	\(\mathbb{Q}(i)\)	even
1040.bj	\(\chi_{1040}(261, \cdot)\)$,$ \(\chi_{1040}(781, \cdot)\)	$1040$	$16$	$4$	\(\Q(\zeta_{16})^+\)	\(\mathbb{Q}(i)\)	even			✓
1040.bk	\(\chi_{1040}(51, \cdot)\)$,$ \(\chi_{1040}(571, \cdot)\)	$1040$	$208$	$4$	4.0.346112.2	\(\mathbb{Q}(i)\)	odd			✓
1040.bl	\(\chi_{1040}(421, \cdot)\)$,$ \(\chi_{1040}(541, \cdot)\)	$1040$	$208$	$4$	4.0.4499456.1	\(\mathbb{Q}(i)\)	odd			✓
1040.bm	\(\chi_{1040}(291, \cdot)\)$,$ \(\chi_{1040}(411, \cdot)\)	$1040$	$208$	$4$	4.4.4499456.2	\(\mathbb{Q}(i)\)	even			✓
1040.bn	\(\chi_{1040}(337, \cdot)\)$,$ \(\chi_{1040}(753, \cdot)\)	$1040$	$65$	$4$	4.0.21125.1	\(\mathbb{Q}(i)\)	odd
1040.bo	\(\chi_{1040}(313, \cdot)\)$,$ \(\chi_{1040}(937, \cdot)\)	$1040$	$40$	$4$	4.0.8000.2	\(\mathbb{Q}(i)\)	odd
1040.bp	\(\chi_{1040}(287, \cdot)\)$,$ \(\chi_{1040}(703, \cdot)\)	$1040$	$20$	$4$	\(\Q(\zeta_{20})^+\)	\(\mathbb{Q}(i)\)	even			✓
1040.bq	\(\chi_{1040}(103, \cdot)\)$,$ \(\chi_{1040}(727, \cdot)\)	$1040$	$520$	$4$	4.4.1352000.1	\(\mathbb{Q}(i)\)	even
1040.br	\(\chi_{1040}(629, \cdot)\)$,$ \(\chi_{1040}(749, \cdot)\)	$1040$	$1040$	$4$	4.0.112486400.2	\(\mathbb{Q}(i)\)	odd		✓	✓
1040.bs	\(\chi_{1040}(499, \cdot)\)$,$ \(\chi_{1040}(619, \cdot)\)	$1040$	$1040$	$4$	4.4.112486400.2	\(\mathbb{Q}(i)\)	even		✓	✓
1040.bt	\(\chi_{1040}(811, \cdot)\)$,$ \(\chi_{1040}(931, \cdot)\)	$1040$	$208$	$4$	4.4.4499456.1	\(\mathbb{Q}(i)\)	even			✓
1040.bu	\(\chi_{1040}(21, \cdot)\)$,$ \(\chi_{1040}(941, \cdot)\)	$1040$	$208$	$4$	4.0.4499456.2	\(\mathbb{Q}(i)\)	odd			✓
1040.bv	\(\chi_{1040}(207, \cdot)\)$,$ \(\chi_{1040}(623, \cdot)\)	$1040$	$260$	$4$	4.4.338000.1	\(\mathbb{Q}(i)\)	even			✓
1040.bw	\(\chi_{1040}(183, \cdot)\)$,$ \(\chi_{1040}(807, \cdot)\)	$1040$	$40$	$4$	4.4.8000.1	\(\mathbb{Q}(i)\)	even
1040.bx	\(\chi_{1040}(417, \cdot)\)$,$ \(\chi_{1040}(833, \cdot)\)	$1040$	$5$	$4$	\(\Q(\zeta_{5})\)	\(\mathbb{Q}(i)\)	odd

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