Dirichlet character search results

Results (32 matches)

 

Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
987.a	\(\chi_{987}(1, \cdot)\)	$987$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓		✓
987.b	\(\chi_{987}(659, \cdot)\)	$987$	$3$	$2$	\(\Q(\sqrt{-3}) \)	\(\Q\)	odd	✓		✓
987.c	\(\chi_{987}(986, \cdot)\)	$987$	$987$	$2$	\(\Q(\sqrt{-987}) \)	\(\Q\)	odd	✓	✓	✓
987.d	\(\chi_{987}(377, \cdot)\)	$987$	$21$	$2$	\(\Q(\sqrt{21}) \)	\(\Q\)	even	✓		✓
987.e	\(\chi_{987}(281, \cdot)\)	$987$	$141$	$2$	\(\Q(\sqrt{141}) \)	\(\Q\)	even	✓		✓
987.f	\(\chi_{987}(610, \cdot)\)	$987$	$47$	$2$	\(\Q(\sqrt{-47}) \)	\(\Q\)	odd	✓		✓
987.g	\(\chi_{987}(706, \cdot)\)	$987$	$7$	$2$	\(\Q(\sqrt{-7}) \)	\(\Q\)	odd	✓		✓
987.h	\(\chi_{987}(328, \cdot)\)	$987$	$329$	$2$	\(\Q(\sqrt{329}) \)	\(\Q\)	even	✓		✓
987.i	\(\chi_{987}(142, \cdot)\)$,$ \(\chi_{987}(424, \cdot)\)	$987$	$7$	$3$	\(\Q(\zeta_{7})^+\)	\(\mathbb{Q}(\zeta_3)\)	even			✓
987.j	\(\chi_{987}(187, \cdot)\)$,$ \(\chi_{987}(892, \cdot)\)	$987$	$329$	$6$	6.6.1744953161.1	\(\mathbb{Q}(\zeta_3)\)	even			✓
987.k	\(\chi_{987}(283, \cdot)\)$,$ \(\chi_{987}(565, \cdot)\)	$987$	$7$	$6$	\(\Q(\zeta_{7})\)	\(\mathbb{Q}(\zeta_3)\)	odd			✓
987.l	\(\chi_{987}(46, \cdot)\)$,$ \(\chi_{987}(751, \cdot)\)	$987$	$329$	$6$	6.0.249279023.2	\(\mathbb{Q}(\zeta_3)\)	odd			✓
987.m	\(\chi_{987}(422, \cdot)\)$,$ \(\chi_{987}(704, \cdot)\)	$987$	$987$	$6$	6.6.6730533621.1	\(\mathbb{Q}(\zeta_3)\)	even		✓	✓
987.n	\(\chi_{987}(236, \cdot)\)$,$ \(\chi_{987}(941, \cdot)\)	$987$	$21$	$6$	\(\Q(\zeta_{21})^+\)	\(\mathbb{Q}(\zeta_3)\)	even			✓
987.o	\(\chi_{987}(563, \cdot)\)$,$ \(\chi_{987}(845, \cdot)\)	$987$	$987$	$6$	6.0.47113735347.2	\(\mathbb{Q}(\zeta_3)\)	odd		✓	✓
987.p	\(\chi_{987}(95, \cdot)\)$,$ \(\chi_{987}(800, \cdot)\)	$987$	$21$	$6$	6.0.64827.1	\(\mathbb{Q}(\zeta_3)\)	odd			✓
987.q	\(\chi_{987}(64, \cdot)\)$, \cdots ,$\(\chi_{987}(967, \cdot)\)	$987$	$47$	$23$	not computed	\(\Q(\zeta_{23})\)	even			✓
987.r	\(\chi_{987}(13, \cdot)\)$, \cdots ,$\(\chi_{987}(979, \cdot)\)	$987$	$329$	$46$	not computed	\(\Q(\zeta_{23})\)	even			✓
987.s	\(\chi_{987}(34, \cdot)\)$, \cdots ,$\(\chi_{987}(958, \cdot)\)	$987$	$329$	$46$	not computed	\(\Q(\zeta_{23})\)	odd			✓
987.t	\(\chi_{987}(22, \cdot)\)$, \cdots ,$\(\chi_{987}(904, \cdot)\)	$987$	$47$	$46$	not computed	\(\Q(\zeta_{23})\)	odd			✓
987.u	\(\chi_{987}(29, \cdot)\)$, \cdots ,$\(\chi_{987}(953, \cdot)\)	$987$	$141$	$46$	not computed	\(\Q(\zeta_{23})\)	even			✓
987.v	\(\chi_{987}(83, \cdot)\)$, \cdots ,$\(\chi_{987}(965, \cdot)\)	$987$	$987$	$46$	not computed	\(\Q(\zeta_{23})\)	even		✓	✓
987.w	\(\chi_{987}(20, \cdot)\)$, \cdots ,$\(\chi_{987}(923, \cdot)\)	$987$	$987$	$46$	not computed	\(\Q(\zeta_{23})\)	odd		✓	✓
987.x	\(\chi_{987}(8, \cdot)\)$, \cdots ,$\(\chi_{987}(974, \cdot)\)	$987$	$141$	$46$	not computed	\(\Q(\zeta_{23})\)	odd			✓
987.y	\(\chi_{987}(4, \cdot)\)$, \cdots ,$\(\chi_{987}(982, \cdot)\)	$987$	$329$	$69$	not computed	$\Q(\zeta_{69})$	even			✓
987.z	\(\chi_{987}(2, \cdot)\)$, \cdots ,$\(\chi_{987}(977, \cdot)\)	$987$	$987$	$138$	not computed	$\Q(\zeta_{69})$	odd		✓	✓
987.ba	\(\chi_{987}(5, \cdot)\)$, \cdots ,$\(\chi_{987}(983, \cdot)\)	$987$	$987$	$138$	not computed	$\Q(\zeta_{69})$	odd		✓	✓
987.bb	\(\chi_{987}(17, \cdot)\)$, \cdots ,$\(\chi_{987}(929, \cdot)\)	$987$	$987$	$138$	not computed	$\Q(\zeta_{69})$	even		✓	✓
987.bc	\(\chi_{987}(11, \cdot)\)$, \cdots ,$\(\chi_{987}(926, \cdot)\)	$987$	$987$	$138$	not computed	$\Q(\zeta_{69})$	even		✓	✓
987.bd	\(\chi_{987}(58, \cdot)\)$, \cdots ,$\(\chi_{987}(970, \cdot)\)	$987$	$329$	$138$	not computed	$\Q(\zeta_{69})$	odd			✓
987.be	\(\chi_{987}(61, \cdot)\)$, \cdots ,$\(\chi_{987}(976, \cdot)\)	$987$	$329$	$138$	not computed	$\Q(\zeta_{69})$	odd			✓
987.bf	\(\chi_{987}(10, \cdot)\)$, \cdots ,$\(\chi_{987}(985, \cdot)\)	$987$	$329$	$138$	not computed	$\Q(\zeta_{69})$	even			✓