Dirichlet character search results

Results (32 matches)

  Download displayed columns for results to

Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
378.a	$\chi_{378}(1, \cdot)$	$378$	$1$	$1$	$\Q$	$\Q$	even	✓		✓
378.b	$\chi_{378}(323, \cdot)$	$378$	$3$	$2$	$\Q(\sqrt{-3})$	$\Q$	odd	✓		✓
378.c	$\chi_{378}(55, \cdot)$	$378$	$7$	$2$	$\Q(\sqrt{-7})$	$\Q$	odd	✓		✓
378.d	$\chi_{378}(377, \cdot)$	$378$	$21$	$2$	$\Q(\sqrt{21})$	$\Q$	even	✓		✓
378.e	$\chi_{378}(37, \cdot)$$,$ $\chi_{378}(235, \cdot)$	$378$	$63$	$3$	3.3.3969.1	$\mathbb{Q}(\zeta_3)$	even
378.f	$\chi_{378}(127, \cdot)$$,$ $\chi_{378}(253, \cdot)$	$378$	$9$	$3$	$\Q(\zeta_{9})^+$	$\mathbb{Q}(\zeta_3)$	even
378.g	$\chi_{378}(109, \cdot)$$,$ $\chi_{378}(163, \cdot)$	$378$	$7$	$3$	$\Q(\zeta_{7})^+$	$\mathbb{Q}(\zeta_3)$	even			✓
378.h	$\chi_{378}(289, \cdot)$$,$ $\chi_{378}(361, \cdot)$	$378$	$63$	$3$	3.3.3969.2	$\mathbb{Q}(\zeta_3)$	even
378.i	$\chi_{378}(179, \cdot)$$,$ $\chi_{378}(359, \cdot)$	$378$	$63$	$6$	6.0.47258883.1	$\mathbb{Q}(\zeta_3)$	odd
378.j	$\chi_{378}(19, \cdot)$$,$ $\chi_{378}(199, \cdot)$	$378$	$63$	$6$	6.0.110270727.1	$\mathbb{Q}(\zeta_3)$	odd
378.k	$\chi_{378}(215, \cdot)$$,$ $\chi_{378}(269, \cdot)$	$378$	$21$	$6$	$\Q(\zeta_{21})^+$	$\mathbb{Q}(\zeta_3)$	even			✓
378.l	$\chi_{378}(143, \cdot)$$,$ $\chi_{378}(341, \cdot)$	$378$	$63$	$6$	6.6.330812181.2	$\mathbb{Q}(\zeta_3)$	even
378.m	$\chi_{378}(125, \cdot)$$,$ $\chi_{378}(251, \cdot)$	$378$	$63$	$6$	6.6.6751269.1	$\mathbb{Q}(\zeta_3)$	even
378.n	$\chi_{378}(271, \cdot)$$,$ $\chi_{378}(325, \cdot)$	$378$	$7$	$6$	$\Q(\zeta_{7})$	$\mathbb{Q}(\zeta_3)$	odd			✓
378.o	$\chi_{378}(181, \cdot)$$,$ $\chi_{378}(307, \cdot)$	$378$	$63$	$6$	6.0.2250423.1	$\mathbb{Q}(\zeta_3)$	odd
378.p	$\chi_{378}(73, \cdot)$$,$ $\chi_{378}(145, \cdot)$	$378$	$63$	$6$	6.0.110270727.2	$\mathbb{Q}(\zeta_3)$	odd
378.q	$\chi_{378}(71, \cdot)$$,$ $\chi_{378}(197, \cdot)$	$378$	$9$	$6$	$\Q(\zeta_{9})$	$\mathbb{Q}(\zeta_3)$	odd
378.r	$\chi_{378}(233, \cdot)$$,$ $\chi_{378}(305, \cdot)$	$378$	$63$	$6$	6.0.47258883.2	$\mathbb{Q}(\zeta_3)$	odd
378.s	$\chi_{378}(53, \cdot)$$,$ $\chi_{378}(107, \cdot)$	$378$	$21$	$6$	6.0.64827.1	$\mathbb{Q}(\zeta_3)$	odd			✓
378.t	$\chi_{378}(17, \cdot)$$,$ $\chi_{378}(89, \cdot)$	$378$	$63$	$6$	6.6.330812181.1	$\mathbb{Q}(\zeta_3)$	even
378.u	$\chi_{378}(43, \cdot)$$, \cdots ,$$\chi_{378}(337, \cdot)$	$378$	$27$	$9$	$\Q(\zeta_{27})^+$	$\Q(\zeta_{9})$	even			✓
378.v	$\chi_{378}(67, \cdot)$$, \cdots ,$$\chi_{378}(331, \cdot)$	$378$	$189$	$9$	9.9.3691950281939241.1	$\Q(\zeta_{9})$	even			✓
378.w	$\chi_{378}(25, \cdot)$$, \cdots ,$$\chi_{378}(373, \cdot)$	$378$	$189$	$9$	9.9.3691950281939241.2	$\Q(\zeta_{9})$	even			✓
378.x	$\chi_{378}(103, \cdot)$$, \cdots ,$$\chi_{378}(367, \cdot)$	$378$	$189$	$18$	not computed	$\Q(\zeta_{9})$	odd			✓
378.y	$\chi_{378}(11, \cdot)$$, \cdots ,$$\chi_{378}(275, \cdot)$	$378$	$189$	$18$	not computed	$\Q(\zeta_{9})$	odd			✓
378.z	$\chi_{378}(41, \cdot)$$, \cdots ,$$\chi_{378}(335, \cdot)$	$378$	$189$	$18$	not computed	$\Q(\zeta_{9})$	even			✓
378.ba	$\chi_{378}(47, \cdot)$$, \cdots ,$$\chi_{378}(311, \cdot)$	$378$	$189$	$18$	not computed	$\Q(\zeta_{9})$	even			✓
378.bb	$\chi_{378}(29, \cdot)$$, \cdots ,$$\chi_{378}(365, \cdot)$	$378$	$27$	$18$	not computed	$\Q(\zeta_{9})$	odd			✓
378.bc	$\chi_{378}(65, \cdot)$$, \cdots ,$$\chi_{378}(347, \cdot)$	$378$	$189$	$18$	not computed	$\Q(\zeta_{9})$	odd			✓
378.bd	$\chi_{378}(13, \cdot)$$, \cdots ,$$\chi_{378}(349, \cdot)$	$378$	$189$	$18$	not computed	$\Q(\zeta_{9})$	odd			✓
378.be	$\chi_{378}(31, \cdot)$$, \cdots ,$$\chi_{378}(313, \cdot)$	$378$	$189$	$18$	not computed	$\Q(\zeta_{9})$	odd			✓
378.bf	$\chi_{378}(5, \cdot)$$, \cdots ,$$\chi_{378}(353, \cdot)$	$378$	$189$	$18$	not computed	$\Q(\zeta_{9})$	even			✓

  Download displayed columns for results to