Dirichlet character search results

Results (9 matches)

 

Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
125.a	\(\chi_{125}(1, \cdot)\)	$125$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓		✓
125.b	\(\chi_{125}(124, \cdot)\)	$125$	$5$	$2$	\(\Q(\sqrt{5}) \)	\(\Q\)	even	✓
125.c	\(\chi_{125}(57, \cdot)\)$,$ \(\chi_{125}(68, \cdot)\)	$125$	$5$	$4$	\(\Q(\zeta_{5})\)	\(\mathbb{Q}(i)\)	odd			✓
125.d	\(\chi_{125}(26, \cdot)\)$, \cdots ,$\(\chi_{125}(101, \cdot)\)	$125$	$25$	$5$	5.5.390625.1	\(\Q(\zeta_{5})\)	even
125.e	\(\chi_{125}(24, \cdot)\)$, \cdots ,$\(\chi_{125}(99, \cdot)\)	$125$	$25$	$10$	\(\Q(\zeta_{25})^+\)	\(\Q(\zeta_{5})\)	even
125.f	\(\chi_{125}(7, \cdot)\)$, \cdots ,$\(\chi_{125}(118, \cdot)\)	$125$	$25$	$20$	not computed	\(\Q(\zeta_{20})\)	odd
125.g	\(\chi_{125}(6, \cdot)\)$, \cdots ,$\(\chi_{125}(121, \cdot)\)	$125$	$125$	$25$	not computed	\(\Q(\zeta_{25})\)	even		✓	✓
125.h	\(\chi_{125}(4, \cdot)\)$, \cdots ,$\(\chi_{125}(119, \cdot)\)	$125$	$125$	$50$	not computed	\(\Q(\zeta_{25})\)	even		✓	✓
125.i	\(\chi_{125}(2, \cdot)\)$, \cdots ,$\(\chi_{125}(123, \cdot)\)	$125$	$125$	$100$	not computed	$\Q(\zeta_{100})$	odd		✓	✓