Dirichlet character search results

Results (12 matches)

 

Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
75.a	\(\chi_{75}(1, \cdot)\)	$75$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓		✓
75.b	\(\chi_{75}(49, \cdot)\)	$75$	$5$	$2$	\(\Q(\sqrt{5}) \)	\(\Q\)	even	✓
75.c	\(\chi_{75}(26, \cdot)\)	$75$	$3$	$2$	\(\Q(\sqrt{-3}) \)	\(\Q\)	odd	✓		✓
75.d	\(\chi_{75}(74, \cdot)\)	$75$	$15$	$2$	\(\Q(\sqrt{-15}) \)	\(\Q\)	odd	✓
75.e	\(\chi_{75}(32, \cdot)\)$,$ \(\chi_{75}(68, \cdot)\)	$75$	$15$	$4$	\(\Q(\zeta_{15})^+\)	\(\mathbb{Q}(i)\)	even			✓
75.f	\(\chi_{75}(7, \cdot)\)$,$ \(\chi_{75}(43, \cdot)\)	$75$	$5$	$4$	\(\Q(\zeta_{5})\)	\(\mathbb{Q}(i)\)	odd			✓
75.g	\(\chi_{75}(16, \cdot)\)$, \cdots ,$\(\chi_{75}(61, \cdot)\)	$75$	$25$	$5$	5.5.390625.1	\(\Q(\zeta_{5})\)	even			✓
75.h	\(\chi_{75}(14, \cdot)\)$, \cdots ,$\(\chi_{75}(59, \cdot)\)	$75$	$75$	$10$	10.0.185394287109375.1	\(\Q(\zeta_{5})\)	odd		✓	✓
75.i	\(\chi_{75}(4, \cdot)\)$, \cdots ,$\(\chi_{75}(64, \cdot)\)	$75$	$25$	$10$	\(\Q(\zeta_{25})^+\)	\(\Q(\zeta_{5})\)	even			✓
75.j	\(\chi_{75}(11, \cdot)\)$, \cdots ,$\(\chi_{75}(71, \cdot)\)	$75$	$75$	$10$	10.0.37078857421875.1	\(\Q(\zeta_{5})\)	odd		✓	✓
75.k	\(\chi_{75}(13, \cdot)\)$, \cdots ,$\(\chi_{75}(73, \cdot)\)	$75$	$25$	$20$	not computed	\(\Q(\zeta_{20})\)	odd			✓
75.l	\(\chi_{75}(2, \cdot)\)$, \cdots ,$\(\chi_{75}(62, \cdot)\)	$75$	$75$	$20$	not computed	\(\Q(\zeta_{20})\)	even		✓	✓