Dirichlet character search results

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

Results (24 matches)

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Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
300.a	\(\chi_{300}(1, \cdot)\)	$300$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓		✓
300.b	\(\chi_{300}(149, \cdot)\)	$300$	$15$	$2$	\(\Q(\sqrt{-15}) \)	\(\Q\)	odd	✓
300.c	\(\chi_{300}(151, \cdot)\)	$300$	$4$	$2$	\(\Q(\sqrt{-1}) \)	\(\Q\)	odd	✓		✓
300.d	\(\chi_{300}(49, \cdot)\)	$300$	$5$	$2$	\(\Q(\sqrt{5}) \)	\(\Q\)	even	✓
300.e	\(\chi_{300}(251, \cdot)\)	$300$	$12$	$2$	\(\Q(\sqrt{3}) \)	\(\Q\)	even	✓		✓
300.f	\(\chi_{300}(199, \cdot)\)	$300$	$20$	$2$	\(\Q(\sqrt{-5}) \)	\(\Q\)	odd	✓
300.g	\(\chi_{300}(101, \cdot)\)	$300$	$3$	$2$	\(\Q(\sqrt{-3}) \)	\(\Q\)	odd	✓		✓
300.h	\(\chi_{300}(299, \cdot)\)	$300$	$60$	$2$	\(\Q(\sqrt{15}) \)	\(\Q\)	even	✓
300.i	\(\chi_{300}(257, \cdot)\)$,$ \(\chi_{300}(293, \cdot)\)	$300$	$15$	$4$	\(\Q(\zeta_{15})^+\)	\(\mathbb{Q}(i)\)	even			✓
300.j	\(\chi_{300}(7, \cdot)\)$,$ \(\chi_{300}(43, \cdot)\)	$300$	$20$	$4$	\(\Q(\zeta_{20})^+\)	\(\mathbb{Q}(i)\)	even			✓
300.k	\(\chi_{300}(157, \cdot)\)$,$ \(\chi_{300}(193, \cdot)\)	$300$	$5$	$4$	\(\Q(\zeta_{5})\)	\(\mathbb{Q}(i)\)	odd			✓
300.l	\(\chi_{300}(107, \cdot)\)$,$ \(\chi_{300}(143, \cdot)\)	$300$	$60$	$4$	4.0.18000.1	\(\mathbb{Q}(i)\)	odd			✓
300.m	\(\chi_{300}(61, \cdot)\)$, \cdots ,$\(\chi_{300}(241, \cdot)\)	$300$	$25$	$5$	5.5.390625.1	\(\Q(\zeta_{5})\)	even			✓
300.n	\(\chi_{300}(11, \cdot)\)$, \cdots ,$\(\chi_{300}(191, \cdot)\)	$300$	$300$	$10$	10.10.37968750000000000.1	\(\Q(\zeta_{5})\)	even		✓	✓
300.o	\(\chi_{300}(109, \cdot)\)$, \cdots ,$\(\chi_{300}(289, \cdot)\)	$300$	$25$	$10$	\(\Q(\zeta_{25})^+\)	\(\Q(\zeta_{5})\)	even			✓
300.p	\(\chi_{300}(31, \cdot)\)$, \cdots ,$\(\chi_{300}(271, \cdot)\)	$300$	$100$	$10$	10.0.156250000000000.1	\(\Q(\zeta_{5})\)	odd			✓
300.q	\(\chi_{300}(29, \cdot)\)$, \cdots ,$\(\chi_{300}(269, \cdot)\)	$300$	$75$	$10$	10.0.185394287109375.1	\(\Q(\zeta_{5})\)	odd			✓
300.r	\(\chi_{300}(59, \cdot)\)$, \cdots ,$\(\chi_{300}(239, \cdot)\)	$300$	$300$	$10$	10.10.189843750000000000.1	\(\Q(\zeta_{5})\)	even		✓	✓
300.s	\(\chi_{300}(41, \cdot)\)$, \cdots ,$\(\chi_{300}(281, \cdot)\)	$300$	$75$	$10$	10.0.37078857421875.1	\(\Q(\zeta_{5})\)	odd			✓
300.t	\(\chi_{300}(19, \cdot)\)$, \cdots ,$\(\chi_{300}(259, \cdot)\)	$300$	$100$	$10$	10.0.781250000000000.1	\(\Q(\zeta_{5})\)	odd			✓
300.u	\(\chi_{300}(23, \cdot)\)$, \cdots ,$\(\chi_{300}(287, \cdot)\)	$300$	$300$	$20$	not computed	\(\Q(\zeta_{20})\)	odd		✓	✓
300.v	\(\chi_{300}(13, \cdot)\)$, \cdots ,$\(\chi_{300}(277, \cdot)\)	$300$	$25$	$20$	not computed	\(\Q(\zeta_{20})\)	odd			✓
300.w	\(\chi_{300}(67, \cdot)\)$, \cdots ,$\(\chi_{300}(283, \cdot)\)	$300$	$100$	$20$	not computed	\(\Q(\zeta_{20})\)	even			✓
300.x	\(\chi_{300}(17, \cdot)\)$, \cdots ,$\(\chi_{300}(233, \cdot)\)	$300$	$75$	$20$	not computed	\(\Q(\zeta_{20})\)	even			✓

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