Dirichlet character search results

Results (30 matches)

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Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
323.a	$\chi_{323}(1, \cdot)$	$323$	$1$	$1$	$\Q$	$\Q$	even	✓		✓
323.b	$\chi_{323}(18, \cdot)$	$323$	$19$	$2$	$\Q(\sqrt{-19})$	$\Q$	odd	✓		✓
323.c	$\chi_{323}(322, \cdot)$	$323$	$323$	$2$	$\Q(\sqrt{-323})$	$\Q$	odd	✓	✓	✓
323.d	$\chi_{323}(305, \cdot)$	$323$	$17$	$2$	$\Q(\sqrt{17})$	$\Q$	even	✓		✓
323.e	$\chi_{323}(239, \cdot)$$,$ $\chi_{323}(273, \cdot)$	$323$	$19$	$3$	3.3.361.1	$\mathbb{Q}(\zeta_3)$	even			✓
323.f	$\chi_{323}(115, \cdot)$$,$ $\chi_{323}(191, \cdot)$	$323$	$17$	$4$	4.4.4913.1	$\mathbb{Q}(i)$	even			✓
323.g	$\chi_{323}(132, \cdot)$$,$ $\chi_{323}(208, \cdot)$	$323$	$323$	$4$	4.0.1773593.2	$\mathbb{Q}(i)$	odd		✓	✓
323.h	$\chi_{323}(220, \cdot)$$,$ $\chi_{323}(254, \cdot)$	$323$	$323$	$6$	6.6.640267073.1	$\mathbb{Q}(\zeta_3)$	even		✓	✓
323.i	$\chi_{323}(50, \cdot)$$,$ $\chi_{323}(84, \cdot)$	$323$	$323$	$6$	6.0.12165074387.1	$\mathbb{Q}(\zeta_3)$	odd		✓	✓
323.j	$\chi_{323}(69, \cdot)$$,$ $\chi_{323}(103, \cdot)$	$323$	$19$	$6$	6.0.2476099.1	$\mathbb{Q}(\zeta_3)$	odd			✓
323.k	$\chi_{323}(77, \cdot)$$, \cdots ,$$\chi_{323}(229, \cdot)$	$323$	$17$	$8$	$\Q(\zeta_{17})^+$	$\Q(\zeta_{8})$	even			✓
323.l	$\chi_{323}(94, \cdot)$$, \cdots ,$$\chi_{323}(246, \cdot)$	$323$	$323$	$8$	8.0.53475746204033.2	$\Q(\zeta_{8})$	odd		✓	✓
323.m	$\chi_{323}(35, \cdot)$$, \cdots ,$$\chi_{323}(290, \cdot)$	$323$	$19$	$9$	$\Q(\zeta_{19})^+$	$\Q(\zeta_{9})$	even			✓
323.n	$\chi_{323}(183, \cdot)$$, \cdots ,$$\chi_{323}(293, \cdot)$	$323$	$323$	$12$	12.0.727070128175028950803097.1	$\Q(\zeta_{12})$	odd		✓	✓
323.o	$\chi_{323}(30, \cdot)$$, \cdots ,$$\chi_{323}(140, \cdot)$	$323$	$323$	$12$	12.12.2014044676385121747377.1	$\Q(\zeta_{12})$	even		✓	✓
323.p	$\chi_{323}(37, \cdot)$$, \cdots ,$$\chi_{323}(303, \cdot)$	$323$	$323$	$16$	not computed	$\Q(\zeta_{16})$	even		✓	✓
323.q	$\chi_{323}(20, \cdot)$$, \cdots ,$$\chi_{323}(286, \cdot)$	$323$	$17$	$16$	not computed	$\Q(\zeta_{16})$	odd			✓
323.r	$\chi_{323}(52, \cdot)$$, \cdots ,$$\chi_{323}(307, \cdot)$	$323$	$19$	$18$	not computed	$\Q(\zeta_{9})$	odd			✓
323.s	$\chi_{323}(16, \cdot)$$, \cdots ,$$\chi_{323}(271, \cdot)$	$323$	$323$	$18$	not computed	$\Q(\zeta_{9})$	even		✓	✓
323.t	$\chi_{323}(33, \cdot)$$, \cdots ,$$\chi_{323}(288, \cdot)$	$323$	$323$	$18$	not computed	$\Q(\zeta_{9})$	odd		✓	✓
323.u	$\chi_{323}(8, \cdot)$$, \cdots ,$$\chi_{323}(297, \cdot)$	$323$	$323$	$24$	not computed	$\Q(\zeta_{24})$	odd		✓	✓
323.v	$\chi_{323}(26, \cdot)$$, \cdots ,$$\chi_{323}(315, \cdot)$	$323$	$323$	$24$	not computed	$\Q(\zeta_{24})$	even		✓	✓
323.w	$\chi_{323}(13, \cdot)$$, \cdots ,$$\chi_{323}(319, \cdot)$	$323$	$323$	$36$	not computed	$\Q(\zeta_{36})$	odd		✓	✓
323.x	$\chi_{323}(4, \cdot)$$, \cdots ,$$\chi_{323}(310, \cdot)$	$323$	$323$	$36$	not computed	$\Q(\zeta_{36})$	even		✓	✓
323.y	$\chi_{323}(12, \cdot)$$, \cdots ,$$\chi_{323}(316, \cdot)$	$323$	$323$	$48$	not computed	$\Q(\zeta_{48})$	even		✓	✓
323.z	$\chi_{323}(7, \cdot)$$, \cdots ,$$\chi_{323}(311, \cdot)$	$323$	$323$	$48$	not computed	$\Q(\zeta_{48})$	odd		✓	✓
323.ba	$\chi_{323}(2, \cdot)$$, \cdots ,$$\chi_{323}(314, \cdot)$	$323$	$323$	$72$	not computed	$\Q(\zeta_{72})$	odd		✓	✓
323.bb	$\chi_{323}(9, \cdot)$$, \cdots ,$$\chi_{323}(321, \cdot)$	$323$	$323$	$72$	not computed	$\Q(\zeta_{72})$	even		✓	✓
323.bc	$\chi_{323}(3, \cdot)$$, \cdots ,$$\chi_{323}(318, \cdot)$	$323$	$323$	$144$	not computed	$\Q(\zeta_{144})$	even		✓	✓
323.bd	$\chi_{323}(5, \cdot)$$, \cdots ,$$\chi_{323}(320, \cdot)$	$323$	$323$	$144$	not computed	$\Q(\zeta_{144})$	odd		✓	✓

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