Dirichlet character search results

Results (12 matches)

 

Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
108.a	\(\chi_{108}(1, \cdot)\)	$108$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓		✓
108.b	\(\chi_{108}(107, \cdot)\)	$108$	$12$	$2$	\(\Q(\sqrt{3}) \)	\(\Q\)	even	✓		✓
108.c	\(\chi_{108}(53, \cdot)\)	$108$	$3$	$2$	\(\Q(\sqrt{-3}) \)	\(\Q\)	odd	✓		✓
108.d	\(\chi_{108}(55, \cdot)\)	$108$	$4$	$2$	\(\Q(\sqrt{-1}) \)	\(\Q\)	odd	✓		✓
108.e	\(\chi_{108}(37, \cdot)\)$,$ \(\chi_{108}(73, \cdot)\)	$108$	$9$	$3$	\(\Q(\zeta_{9})^+\)	\(\mathbb{Q}(\zeta_3)\)	even
108.f	\(\chi_{108}(19, \cdot)\)$,$ \(\chi_{108}(91, \cdot)\)	$108$	$36$	$6$	6.0.419904.1	\(\mathbb{Q}(\zeta_3)\)	odd
108.g	\(\chi_{108}(17, \cdot)\)$,$ \(\chi_{108}(89, \cdot)\)	$108$	$9$	$6$	\(\Q(\zeta_{9})\)	\(\mathbb{Q}(\zeta_3)\)	odd
108.h	\(\chi_{108}(35, \cdot)\)$,$ \(\chi_{108}(71, \cdot)\)	$108$	$36$	$6$	\(\Q(\zeta_{36})^+\)	\(\mathbb{Q}(\zeta_3)\)	even
108.i	\(\chi_{108}(13, \cdot)\)$, \cdots ,$\(\chi_{108}(97, \cdot)\)	$108$	$27$	$9$	\(\Q(\zeta_{27})^+\)	\(\Q(\zeta_{9})\)	even			✓
108.j	\(\chi_{108}(7, \cdot)\)$, \cdots ,$\(\chi_{108}(103, \cdot)\)	$108$	$108$	$18$	not computed	\(\Q(\zeta_{9})\)	odd		✓	✓
108.k	\(\chi_{108}(5, \cdot)\)$, \cdots ,$\(\chi_{108}(101, \cdot)\)	$108$	$27$	$18$	not computed	\(\Q(\zeta_{9})\)	odd			✓
108.l	\(\chi_{108}(11, \cdot)\)$, \cdots ,$\(\chi_{108}(95, \cdot)\)	$108$	$108$	$18$	not computed	\(\Q(\zeta_{9})\)	even		✓	✓