Dirichlet character search results

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

Results (32 matches)

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Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
264.a	\(\chi_{264}(1, \cdot)\)	$264$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓		✓
264.b	\(\chi_{264}(65, \cdot)\)	$264$	$33$	$2$	\(\Q(\sqrt{33}) \)	\(\Q\)	even	✓		✓
264.c	\(\chi_{264}(67, \cdot)\)	$264$	$8$	$2$	\(\Q(\sqrt{-2}) \)	\(\Q\)	odd	✓		✓
264.d	\(\chi_{264}(23, \cdot)\)	$264$	$12$	$2$	\(\Q(\sqrt{3}) \)	\(\Q\)	even	✓
264.e	\(\chi_{264}(109, \cdot)\)	$264$	$88$	$2$	\(\Q(\sqrt{-22}) \)	\(\Q\)	odd	✓		✓
264.f	\(\chi_{264}(133, \cdot)\)	$264$	$8$	$2$	\(\Q(\sqrt{2}) \)	\(\Q\)	even	✓		✓
264.g	\(\chi_{264}(263, \cdot)\)	$264$	$132$	$2$	\(\Q(\sqrt{-33}) \)	\(\Q\)	odd	✓
264.h	\(\chi_{264}(43, \cdot)\)	$264$	$88$	$2$	\(\Q(\sqrt{22}) \)	\(\Q\)	even	✓		✓
264.i	\(\chi_{264}(89, \cdot)\)	$264$	$3$	$2$	\(\Q(\sqrt{-3}) \)	\(\Q\)	odd	✓		✓
264.j	\(\chi_{264}(241, \cdot)\)	$264$	$11$	$2$	\(\Q(\sqrt{-11}) \)	\(\Q\)	odd	✓		✓
264.k	\(\chi_{264}(155, \cdot)\)	$264$	$24$	$2$	\(\Q(\sqrt{6}) \)	\(\Q\)	even	✓		✓
264.l	\(\chi_{264}(199, \cdot)\)	$264$	$4$	$2$	\(\Q(\sqrt{-1}) \)	\(\Q\)	odd	✓
264.m	\(\chi_{264}(197, \cdot)\)	$264$	$264$	$2$	\(\Q(\sqrt{66}) \)	\(\Q\)	even	✓	✓	✓
264.n	\(\chi_{264}(221, \cdot)\)	$264$	$24$	$2$	\(\Q(\sqrt{-6}) \)	\(\Q\)	odd	✓		✓
264.o	\(\chi_{264}(175, \cdot)\)	$264$	$44$	$2$	\(\Q(\sqrt{11}) \)	\(\Q\)	even	✓
264.p	\(\chi_{264}(131, \cdot)\)	$264$	$264$	$2$	\(\Q(\sqrt{-66}) \)	\(\Q\)	odd	✓	✓	✓
264.q	\(\chi_{264}(25, \cdot)\)$, \cdots ,$\(\chi_{264}(169, \cdot)\)	$264$	$11$	$5$	\(\Q(\zeta_{11})^+\)	\(\Q(\zeta_{5})\)	even			✓
264.r	\(\chi_{264}(35, \cdot)\)$, \cdots ,$\(\chi_{264}(227, \cdot)\)	$264$	$264$	$10$	10.0.18775450875101184.1	\(\Q(\zeta_{5})\)	odd		✓	✓
264.s	\(\chi_{264}(7, \cdot)\)$, \cdots ,$\(\chi_{264}(151, \cdot)\)	$264$	$44$	$10$	\(\Q(\zeta_{44})^+\)	\(\Q(\zeta_{5})\)	even
264.t	\(\chi_{264}(5, \cdot)\)$, \cdots ,$\(\chi_{264}(245, \cdot)\)	$264$	$264$	$10$	10.0.1706859170463744.1	\(\Q(\zeta_{5})\)	odd		✓	✓
264.u	\(\chi_{264}(29, \cdot)\)$, \cdots ,$\(\chi_{264}(173, \cdot)\)	$264$	$264$	$10$	10.10.18775450875101184.1	\(\Q(\zeta_{5})\)	even		✓	✓
264.v	\(\chi_{264}(31, \cdot)\)$, \cdots ,$\(\chi_{264}(247, \cdot)\)	$264$	$44$	$10$	10.0.219503494144.1	\(\Q(\zeta_{5})\)	odd
264.w	\(\chi_{264}(59, \cdot)\)$, \cdots ,$\(\chi_{264}(251, \cdot)\)	$264$	$264$	$10$	10.10.1706859170463744.1	\(\Q(\zeta_{5})\)	even		✓	✓
264.x	\(\chi_{264}(73, \cdot)\)$, \cdots ,$\(\chi_{264}(217, \cdot)\)	$264$	$11$	$10$	\(\Q(\zeta_{11})\)	\(\Q(\zeta_{5})\)	odd			✓
264.y	\(\chi_{264}(113, \cdot)\)$, \cdots ,$\(\chi_{264}(257, \cdot)\)	$264$	$33$	$10$	10.0.52089208083.1	\(\Q(\zeta_{5})\)	odd			✓
264.z	\(\chi_{264}(19, \cdot)\)$, \cdots ,$\(\chi_{264}(259, \cdot)\)	$264$	$88$	$10$	10.10.77265229938688.1	\(\Q(\zeta_{5})\)	even			✓
264.ba	\(\chi_{264}(95, \cdot)\)$, \cdots ,$\(\chi_{264}(239, \cdot)\)	$264$	$132$	$10$	10.0.586732839846912.1	\(\Q(\zeta_{5})\)	odd
264.bb	\(\chi_{264}(37, \cdot)\)$, \cdots ,$\(\chi_{264}(229, \cdot)\)	$264$	$88$	$10$	10.10.7024111812608.1	\(\Q(\zeta_{5})\)	even			✓
264.bc	\(\chi_{264}(13, \cdot)\)$, \cdots ,$\(\chi_{264}(205, \cdot)\)	$264$	$88$	$10$	10.0.77265229938688.1	\(\Q(\zeta_{5})\)	odd			✓
264.bd	\(\chi_{264}(47, \cdot)\)$, \cdots ,$\(\chi_{264}(191, \cdot)\)	$264$	$132$	$10$	10.10.53339349076992.1	\(\Q(\zeta_{5})\)	even
264.be	\(\chi_{264}(91, \cdot)\)$, \cdots ,$\(\chi_{264}(235, \cdot)\)	$264$	$88$	$10$	10.0.7024111812608.1	\(\Q(\zeta_{5})\)	odd			✓
264.bf	\(\chi_{264}(17, \cdot)\)$, \cdots ,$\(\chi_{264}(233, \cdot)\)	$264$	$33$	$10$	\(\Q(\zeta_{33})^+\)	\(\Q(\zeta_{5})\)	even			✓

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