Dirichlet character search results

Results (48 matches)

 

Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
6016.a	\(\chi_{6016}(1, \cdot)\)	$6016$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓		✓
6016.b	\(\chi_{6016}(6015, \cdot)\)	$6016$	$188$	$2$	\(\Q(\sqrt{47}) \)	\(\Q\)	even	✓		✓
6016.c	\(\chi_{6016}(3009, \cdot)\)	$6016$	$8$	$2$	\(\Q(\sqrt{2}) \)	\(\Q\)	even	✓		✓
6016.d	\(\chi_{6016}(4607, \cdot)\)	$6016$	$4$	$2$	\(\Q(\sqrt{-1}) \)	\(\Q\)	odd	✓		✓
6016.e	\(\chi_{6016}(4417, \cdot)\)	$6016$	$376$	$2$	\(\Q(\sqrt{-94}) \)	\(\Q\)	odd	✓		✓
6016.f	\(\chi_{6016}(1599, \cdot)\)	$6016$	$8$	$2$	\(\Q(\sqrt{-2}) \)	\(\Q\)	odd	✓		✓
6016.g	\(\chi_{6016}(1409, \cdot)\)	$6016$	$47$	$2$	\(\Q(\sqrt{-47}) \)	\(\Q\)	odd	✓		✓
6016.h	\(\chi_{6016}(3007, \cdot)\)	$6016$	$376$	$2$	\(\Q(\sqrt{94}) \)	\(\Q\)	even	✓		✓
6016.i	\(\chi_{6016}(2913, \cdot)\)$,$ \(\chi_{6016}(5921, \cdot)\)	$6016$	$752$	$4$	4.0.4524032.5	\(\mathbb{Q}(i)\)	odd
6016.j	\(\chi_{6016}(1505, \cdot)\)$,$ \(\chi_{6016}(4513, \cdot)\)	$6016$	$16$	$4$	\(\Q(\zeta_{16})^+\)	\(\mathbb{Q}(i)\)	even
6016.k	\(\chi_{6016}(95, \cdot)\)$,$ \(\chi_{6016}(3103, \cdot)\)	$6016$	$16$	$4$	4.0.2048.2	\(\mathbb{Q}(i)\)	odd
6016.l	\(\chi_{6016}(1503, \cdot)\)$,$ \(\chi_{6016}(4511, \cdot)\)	$6016$	$752$	$4$	4.4.4524032.2	\(\mathbb{Q}(i)\)	even
6016.m	\(\chi_{6016}(751, \cdot)\)$, \cdots ,$\(\chi_{6016}(5263, \cdot)\)	$6016$	$1504$	$8$	8.8.10479035154956288.6	\(\Q(\zeta_{8})\)	even
6016.n	\(\chi_{6016}(753, \cdot)\)$, \cdots ,$\(\chi_{6016}(5265, \cdot)\)	$6016$	$32$	$8$	\(\Q(\zeta_{32})^+\)	\(\Q(\zeta_{8})\)	even
6016.o	\(\chi_{6016}(657, \cdot)\)$, \cdots ,$\(\chi_{6016}(5169, \cdot)\)	$6016$	$1504$	$8$	8.0.10479035154956288.53	\(\Q(\zeta_{8})\)	odd
6016.p	\(\chi_{6016}(847, \cdot)\)$, \cdots ,$\(\chi_{6016}(5359, \cdot)\)	$6016$	$32$	$8$	8.0.2147483648.1	\(\Q(\zeta_{8})\)	odd
6016.q	\(\chi_{6016}(377, \cdot)\)$, \cdots ,$\(\chi_{6016}(5641, \cdot)\)	$6016$	$64$	$16$	not computed	\(\Q(\zeta_{16})\)	even
6016.r	\(\chi_{6016}(375, \cdot)\)$, \cdots ,$\(\chi_{6016}(5639, \cdot)\)	$6016$	$3008$	$16$	not computed	\(\Q(\zeta_{16})\)	even
6016.s	\(\chi_{6016}(471, \cdot)\)$, \cdots ,$\(\chi_{6016}(5735, \cdot)\)	$6016$	$64$	$16$	not computed	\(\Q(\zeta_{16})\)	odd
6016.t	\(\chi_{6016}(281, \cdot)\)$, \cdots ,$\(\chi_{6016}(5545, \cdot)\)	$6016$	$3008$	$16$	not computed	\(\Q(\zeta_{16})\)	odd
6016.u	\(\chi_{6016}(385, \cdot)\)$, \cdots ,$\(\chi_{6016}(5889, \cdot)\)	$6016$	$47$	$23$	not computed	\(\Q(\zeta_{23})\)	even			✓
6016.v	\(\chi_{6016}(93, \cdot)\)$, \cdots ,$\(\chi_{6016}(5733, \cdot)\)	$6016$	$6016$	$32$	not computed	\(\Q(\zeta_{32})\)	odd		✓	✓
6016.w	\(\chi_{6016}(189, \cdot)\)$, \cdots ,$\(\chi_{6016}(5829, \cdot)\)	$6016$	$128$	$32$	not computed	\(\Q(\zeta_{32})\)	even			✓
6016.x	\(\chi_{6016}(283, \cdot)\)$, \cdots ,$\(\chi_{6016}(5923, \cdot)\)	$6016$	$128$	$32$	not computed	\(\Q(\zeta_{32})\)	odd			✓
6016.y	\(\chi_{6016}(187, \cdot)\)$, \cdots ,$\(\chi_{6016}(5827, \cdot)\)	$6016$	$6016$	$32$	not computed	\(\Q(\zeta_{32})\)	even		✓	✓
6016.z	\(\chi_{6016}(575, \cdot)\)$, \cdots ,$\(\chi_{6016}(5951, \cdot)\)	$6016$	$376$	$46$	not computed	\(\Q(\zeta_{23})\)	even			✓
6016.ba	\(\chi_{6016}(129, \cdot)\)$, \cdots ,$\(\chi_{6016}(5633, \cdot)\)	$6016$	$47$	$46$	not computed	\(\Q(\zeta_{23})\)	odd			✓
6016.bb	\(\chi_{6016}(63, \cdot)\)$, \cdots ,$\(\chi_{6016}(5823, \cdot)\)	$6016$	$376$	$46$	not computed	\(\Q(\zeta_{23})\)	odd			✓
6016.bc	\(\chi_{6016}(193, \cdot)\)$, \cdots ,$\(\chi_{6016}(5953, \cdot)\)	$6016$	$376$	$46$	not computed	\(\Q(\zeta_{23})\)	odd			✓
6016.bd	\(\chi_{6016}(383, \cdot)\)$, \cdots ,$\(\chi_{6016}(5887, \cdot)\)	$6016$	$188$	$46$	not computed	\(\Q(\zeta_{23})\)	odd			✓
6016.be	\(\chi_{6016}(65, \cdot)\)$, \cdots ,$\(\chi_{6016}(5441, \cdot)\)	$6016$	$376$	$46$	not computed	\(\Q(\zeta_{23})\)	even			✓
6016.bf	\(\chi_{6016}(127, \cdot)\)$, \cdots ,$\(\chi_{6016}(5631, \cdot)\)	$6016$	$188$	$46$	not computed	\(\Q(\zeta_{23})\)	even			✓
6016.bg	\(\chi_{6016}(31, \cdot)\)$, \cdots ,$\(\chi_{6016}(5919, \cdot)\)	$6016$	$752$	$92$	not computed	$\Q(\zeta_{92})$	even
6016.bh	\(\chi_{6016}(159, \cdot)\)$, \cdots ,$\(\chi_{6016}(5983, \cdot)\)	$6016$	$752$	$92$	not computed	$\Q(\zeta_{92})$	odd
6016.bi	\(\chi_{6016}(97, \cdot)\)$, \cdots ,$\(\chi_{6016}(5985, \cdot)\)	$6016$	$752$	$92$	not computed	$\Q(\zeta_{92})$	even
6016.bj	\(\chi_{6016}(33, \cdot)\)$, \cdots ,$\(\chi_{6016}(5857, \cdot)\)	$6016$	$752$	$92$	not computed	$\Q(\zeta_{92})$	odd
6016.bk	\(\chi_{6016}(79, \cdot)\)$, \cdots ,$\(\chi_{6016}(5903, \cdot)\)	$6016$	$1504$	$184$	not computed	$\Q(\zeta_{184})$	odd
6016.bl	\(\chi_{6016}(113, \cdot)\)$, \cdots ,$\(\chi_{6016}(5937, \cdot)\)	$6016$	$1504$	$184$	not computed	$\Q(\zeta_{184})$	odd
6016.bm	\(\chi_{6016}(17, \cdot)\)$, \cdots ,$\(\chi_{6016}(6001, \cdot)\)	$6016$	$1504$	$184$	not computed	$\Q(\zeta_{184})$	even
6016.bn	\(\chi_{6016}(15, \cdot)\)$, \cdots ,$\(\chi_{6016}(5999, \cdot)\)	$6016$	$1504$	$184$	not computed	$\Q(\zeta_{184})$	even
6016.bo	\(\chi_{6016}(41, \cdot)\)$, \cdots ,$\(\chi_{6016}(6009, \cdot)\)	$6016$	$3008$	$368$	not computed	$\Q(\zeta_{368})$	odd
6016.bp	\(\chi_{6016}(7, \cdot)\)$, \cdots ,$\(\chi_{6016}(5975, \cdot)\)	$6016$	$3008$	$368$	not computed	$\Q(\zeta_{368})$	odd
6016.bq	\(\chi_{6016}(23, \cdot)\)$, \cdots ,$\(\chi_{6016}(6007, \cdot)\)	$6016$	$3008$	$368$	not computed	$\Q(\zeta_{368})$	even
6016.br	\(\chi_{6016}(9, \cdot)\)$, \cdots ,$\(\chi_{6016}(5993, \cdot)\)	$6016$	$3008$	$368$	not computed	$\Q(\zeta_{368})$	even
6016.bs	\(\chi_{6016}(11, \cdot)\)$, \cdots ,$\(\chi_{6016}(5995, \cdot)\)	$6016$	$6016$	$736$	not computed	$\Q(\zeta_{736})$	even		✓	✓
6016.bt	\(\chi_{6016}(3, \cdot)\)$, \cdots ,$\(\chi_{6016}(6011, \cdot)\)	$6016$	$6016$	$736$	not computed	$\Q(\zeta_{736})$	odd		✓	✓
6016.bu	\(\chi_{6016}(21, \cdot)\)$, \cdots ,$\(\chi_{6016}(6005, \cdot)\)	$6016$	$6016$	$736$	not computed	$\Q(\zeta_{736})$	even		✓	✓
6016.bv	\(\chi_{6016}(5, \cdot)\)$, \cdots ,$\(\chi_{6016}(6013, \cdot)\)	$6016$	$6016$	$736$	not computed	$\Q(\zeta_{736})$	odd		✓	✓