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Results (6 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3991.1.d.a	$3991$	$1$	3991.d	3991.d	$2$	$1$	$1$	$1.992$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3991}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{2}-q^{5}+q^{8}+q^{9}+q^{10}+q^{13}+\cdots\)
3991.1.d.b	$3991$	$1$	3991.d	3991.d	$2$	$1$	$1$	$1.992$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3991}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{2}+q^{5}-q^{8}+q^{9}+q^{10}-q^{13}+\cdots\)
3991.1.d.c	$3991$	$1$	3991.d	3991.d	$2$	$2$	$2$	$1.992$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3991}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}+(-1+\beta )q^{5}+\cdots\)
3991.1.d.d	$3991$	$1$	3991.d	3991.d	$2$	$2$	$2$	$1.992$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3991}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(1-\beta )q^{2}+(1-\beta )q^{4}+(1-\beta )q^{5}+\cdots\)
3991.1.d.e	$3991$	$1$	3991.d	3991.d	$2$	$4$	$4$	$1.992$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-3991}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{3})q^{5}+\cdots\)
3991.1.d.f	$3991$	$1$	3991.d	3991.d	$2$	$4$	$4$	$1.992$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-3991}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{1}+\beta _{3})q^{5}+\cdots\)