Dirichlet character search results

The results below are complete, since the LMFDB contains all Dirichlet characters with modulus at most a million

Results (32 matches)

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Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Primitive	Minimal
4232.a	\(\chi_{4232}(1, \cdot)\)	$4232$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓		✓
4232.b	\(\chi_{4232}(2117, \cdot)\)	$4232$	$8$	$2$	\(\Q(\sqrt{2}) \)	\(\Q\)	even	✓		✓
4232.c	\(\chi_{4232}(4231, \cdot)\)	$4232$	$92$	$2$	\(\Q(\sqrt{23}) \)	\(\Q\)	even	✓
4232.d	\(\chi_{4232}(3175, \cdot)\)	$4232$	$4$	$2$	\(\Q(\sqrt{-1}) \)	\(\Q\)	odd	✓
4232.e	\(\chi_{4232}(3173, \cdot)\)	$4232$	$184$	$2$	\(\Q(\sqrt{-46}) \)	\(\Q\)	odd	✓		✓
4232.f	\(\chi_{4232}(1057, \cdot)\)	$4232$	$23$	$2$	\(\Q(\sqrt{-23}) \)	\(\Q\)	odd	✓		✓
4232.g	\(\chi_{4232}(1059, \cdot)\)	$4232$	$8$	$2$	\(\Q(\sqrt{-2}) \)	\(\Q\)	odd	✓		✓
4232.h	\(\chi_{4232}(2115, \cdot)\)	$4232$	$184$	$2$	\(\Q(\sqrt{46}) \)	\(\Q\)	even	✓		✓
4232.i	\(\chi_{4232}(177, \cdot)\)$, \cdots ,$\(\chi_{4232}(4169, \cdot)\)	$4232$	$23$	$11$	\(\Q(\zeta_{23})^+\)	\(\Q(\zeta_{11})\)	even
4232.j	\(\chi_{4232}(195, \cdot)\)$, \cdots ,$\(\chi_{4232}(3731, \cdot)\)	$4232$	$184$	$22$	not computed	\(\Q(\zeta_{11})\)	even
4232.k	\(\chi_{4232}(699, \cdot)\)$, \cdots ,$\(\chi_{4232}(3675, \cdot)\)	$4232$	$184$	$22$	not computed	\(\Q(\zeta_{11})\)	odd
4232.l	\(\chi_{4232}(881, \cdot)\)$, \cdots ,$\(\chi_{4232}(3977, \cdot)\)	$4232$	$23$	$22$	not computed	\(\Q(\zeta_{11})\)	odd
4232.m	\(\chi_{4232}(557, \cdot)\)$, \cdots ,$\(\chi_{4232}(3533, \cdot)\)	$4232$	$184$	$22$	not computed	\(\Q(\zeta_{11})\)	odd
4232.n	\(\chi_{4232}(255, \cdot)\)$, \cdots ,$\(\chi_{4232}(3351, \cdot)\)	$4232$	$92$	$22$	not computed	\(\Q(\zeta_{11})\)	odd
4232.o	\(\chi_{4232}(63, \cdot)\)$, \cdots ,$\(\chi_{4232}(4055, \cdot)\)	$4232$	$92$	$22$	not computed	\(\Q(\zeta_{11})\)	even
4232.p	\(\chi_{4232}(501, \cdot)\)$, \cdots ,$\(\chi_{4232}(4037, \cdot)\)	$4232$	$184$	$22$	not computed	\(\Q(\zeta_{11})\)	even
4232.q	\(\chi_{4232}(185, \cdot)\)$, \cdots ,$\(\chi_{4232}(4049, \cdot)\)	$4232$	$529$	$23$	not computed	\(\Q(\zeta_{23})\)	even			✓
4232.r	\(\chi_{4232}(91, \cdot)\)$, \cdots ,$\(\chi_{4232}(4139, \cdot)\)	$4232$	$4232$	$46$	not computed	\(\Q(\zeta_{23})\)	even		✓	✓
4232.s	\(\chi_{4232}(139, \cdot)\)$, \cdots ,$\(\chi_{4232}(4187, \cdot)\)	$4232$	$4232$	$46$	not computed	\(\Q(\zeta_{23})\)	odd		✓	✓
4232.t	\(\chi_{4232}(137, \cdot)\)$, \cdots ,$\(\chi_{4232}(4185, \cdot)\)	$4232$	$529$	$46$	not computed	\(\Q(\zeta_{23})\)	odd			✓
4232.u	\(\chi_{4232}(45, \cdot)\)$, \cdots ,$\(\chi_{4232}(4093, \cdot)\)	$4232$	$4232$	$46$	not computed	\(\Q(\zeta_{23})\)	odd		✓	✓
4232.v	\(\chi_{4232}(47, \cdot)\)$, \cdots ,$\(\chi_{4232}(4095, \cdot)\)	$4232$	$2116$	$46$	not computed	\(\Q(\zeta_{23})\)	odd
4232.w	\(\chi_{4232}(183, \cdot)\)$, \cdots ,$\(\chi_{4232}(4047, \cdot)\)	$4232$	$2116$	$46$	not computed	\(\Q(\zeta_{23})\)	even
4232.x	\(\chi_{4232}(93, \cdot)\)$, \cdots ,$\(\chi_{4232}(4141, \cdot)\)	$4232$	$4232$	$46$	not computed	\(\Q(\zeta_{23})\)	even		✓	✓
4232.y	\(\chi_{4232}(9, \cdot)\)$, \cdots ,$\(\chi_{4232}(4225, \cdot)\)	$4232$	$529$	$253$	not computed	$\Q(\zeta_{253})$	even			✓
4232.z	\(\chi_{4232}(13, \cdot)\)$, \cdots ,$\(\chi_{4232}(4221, \cdot)\)	$4232$	$4232$	$506$	not computed	$\Q(\zeta_{253})$	even		✓	✓
4232.ba	\(\chi_{4232}(7, \cdot)\)$, \cdots ,$\(\chi_{4232}(4223, \cdot)\)	$4232$	$2116$	$506$	not computed	$\Q(\zeta_{253})$	even
4232.bb	\(\chi_{4232}(31, \cdot)\)$, \cdots ,$\(\chi_{4232}(4215, \cdot)\)	$4232$	$2116$	$506$	not computed	$\Q(\zeta_{253})$	odd
4232.bc	\(\chi_{4232}(5, \cdot)\)$, \cdots ,$\(\chi_{4232}(4229, \cdot)\)	$4232$	$4232$	$506$	not computed	$\Q(\zeta_{253})$	odd		✓	✓
4232.bd	\(\chi_{4232}(17, \cdot)\)$, \cdots ,$\(\chi_{4232}(4201, \cdot)\)	$4232$	$529$	$506$	not computed	$\Q(\zeta_{253})$	odd			✓
4232.be	\(\chi_{4232}(3, \cdot)\)$, \cdots ,$\(\chi_{4232}(4227, \cdot)\)	$4232$	$4232$	$506$	not computed	$\Q(\zeta_{253})$	odd		✓	✓
4232.bf	\(\chi_{4232}(11, \cdot)\)$, \cdots ,$\(\chi_{4232}(4219, \cdot)\)	$4232$	$4232$	$506$	not computed	$\Q(\zeta_{253})$	even		✓	✓

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