Dirichlet character search results

Results (24 matches)

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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			✓

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