Dirichlet character search results

Results (24 matches)

  Download displayed columns for results to

Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
156.a	\(\chi_{156}(1, \cdot)\)	$156$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓		✓
156.b	\(\chi_{156}(25, \cdot)\)	$156$	$13$	$2$	\(\Q(\sqrt{13}) \)	\(\Q\)	even	✓		✓
156.c	\(\chi_{156}(131, \cdot)\)	$156$	$12$	$2$	\(\Q(\sqrt{3}) \)	\(\Q\)	even	✓		✓
156.d	\(\chi_{156}(53, \cdot)\)	$156$	$3$	$2$	\(\Q(\sqrt{-3}) \)	\(\Q\)	odd	✓		✓
156.e	\(\chi_{156}(103, \cdot)\)	$156$	$52$	$2$	\(\Q(\sqrt{-13}) \)	\(\Q\)	odd	✓		✓
156.f	\(\chi_{156}(79, \cdot)\)	$156$	$4$	$2$	\(\Q(\sqrt{-1}) \)	\(\Q\)	odd	✓		✓
156.g	\(\chi_{156}(77, \cdot)\)	$156$	$39$	$2$	\(\Q(\sqrt{-39}) \)	\(\Q\)	odd	✓		✓
156.h	\(\chi_{156}(155, \cdot)\)	$156$	$156$	$2$	\(\Q(\sqrt{39}) \)	\(\Q\)	even	✓	✓	✓
156.i	\(\chi_{156}(61, \cdot)\)$,$ \(\chi_{156}(133, \cdot)\)	$156$	$13$	$3$	3.3.169.1	\(\mathbb{Q}(\zeta_3)\)	even			✓
156.j	\(\chi_{156}(73, \cdot)\)$,$ \(\chi_{156}(109, \cdot)\)	$156$	$13$	$4$	4.0.2197.1	\(\mathbb{Q}(i)\)	odd			✓
156.k	\(\chi_{156}(31, \cdot)\)$,$ \(\chi_{156}(151, \cdot)\)	$156$	$52$	$4$	4.4.35152.1	\(\mathbb{Q}(i)\)	even			✓
156.l	\(\chi_{156}(47, \cdot)\)$,$ \(\chi_{156}(83, \cdot)\)	$156$	$156$	$4$	4.0.316368.2	\(\mathbb{Q}(i)\)	odd		✓	✓
156.m	\(\chi_{156}(5, \cdot)\)$,$ \(\chi_{156}(125, \cdot)\)	$156$	$39$	$4$	4.4.19773.1	\(\mathbb{Q}(i)\)	even			✓
156.n	\(\chi_{156}(43, \cdot)\)$,$ \(\chi_{156}(127, \cdot)\)	$156$	$52$	$6$	6.0.23762752.1	\(\mathbb{Q}(\zeta_3)\)	odd			✓
156.o	\(\chi_{156}(29, \cdot)\)$,$ \(\chi_{156}(113, \cdot)\)	$156$	$39$	$6$	6.0.771147.1	\(\mathbb{Q}(\zeta_3)\)	odd			✓
156.p	\(\chi_{156}(35, \cdot)\)$,$ \(\chi_{156}(107, \cdot)\)	$156$	$156$	$6$	6.6.49353408.1	\(\mathbb{Q}(\zeta_3)\)	even		✓	✓
156.q	\(\chi_{156}(49, \cdot)\)$,$ \(\chi_{156}(121, \cdot)\)	$156$	$13$	$6$	\(\Q(\zeta_{13})^+\)	\(\mathbb{Q}(\zeta_3)\)	even			✓
156.r	\(\chi_{156}(23, \cdot)\)$,$ \(\chi_{156}(95, \cdot)\)	$156$	$156$	$6$	6.6.641594304.1	\(\mathbb{Q}(\zeta_3)\)	even		✓	✓
156.s	\(\chi_{156}(17, \cdot)\)$,$ \(\chi_{156}(101, \cdot)\)	$156$	$39$	$6$	6.0.10024911.1	\(\mathbb{Q}(\zeta_3)\)	odd			✓
156.t	\(\chi_{156}(55, \cdot)\)$,$ \(\chi_{156}(139, \cdot)\)	$156$	$52$	$6$	6.0.1827904.1	\(\mathbb{Q}(\zeta_3)\)	odd			✓
156.u	\(\chi_{156}(41, \cdot)\)$, \cdots ,$\(\chi_{156}(149, \cdot)\)	$156$	$39$	$12$	\(\Q(\zeta_{39})^+\)	\(\Q(\zeta_{12})\)	even			✓
156.v	\(\chi_{156}(11, \cdot)\)$, \cdots ,$\(\chi_{156}(119, \cdot)\)	$156$	$156$	$12$	12.0.5351362262028177408.1	\(\Q(\zeta_{12})\)	odd		✓	✓
156.w	\(\chi_{156}(7, \cdot)\)$, \cdots ,$\(\chi_{156}(115, \cdot)\)	$156$	$52$	$12$	\(\Q(\zeta_{52})^+\)	\(\Q(\zeta_{12})\)	even			✓
156.x	\(\chi_{156}(37, \cdot)\)$, \cdots ,$\(\chi_{156}(145, \cdot)\)	$156$	$13$	$12$	\(\Q(\zeta_{13})\)	\(\Q(\zeta_{12})\)	odd			✓

  Download displayed columns for results to