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Results (7 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3716.1.d.a	$3716$	$1$	3716.d	3716.d	$2$	$1$	$1$	$1.855$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-929}) \)	\(\Q(\sqrt{929}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{2}+q^{4}-2q^{5}-q^{8}-q^{9}+2q^{10}+\cdots\)
3716.1.d.b	$3716$	$1$	3716.d	3716.d	$2$	$1$	$1$	$1.855$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-929}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(-1\)	\(1\)	$1$		\(q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}+q^{7}+\cdots\)
3716.1.d.c	$3716$	$1$	3716.d	3716.d	$2$	$1$	$1$	$1.855$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-929}) \)	None	✓	$2$	$0$	\(1\)	\(2\)	\(-1\)	\(-1\)	$1$		\(q+q^{2}+2q^{3}+q^{4}-q^{5}+2q^{6}-q^{7}+\cdots\)
3716.1.d.d	$3716$	$1$	3716.d	3716.d	$2$	$2$	$2$	$1.855$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-929}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(2\)	\(0\)	$1$		\(q-q^{2}+q^{4}+q^{5}-\beta q^{7}-q^{8}-q^{9}+\cdots\)
3716.1.d.e	$3716$	$1$	3716.d	3716.d	$2$	$3$	$3$	$1.855$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-929}) \)	None	✓	$2$	$0$	\(3\)	\(-3\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}-\beta _{1}q^{7}+\cdots\)
3716.1.d.f	$3716$	$1$	3716.d	3716.d	$2$	$3$	$3$	$1.855$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-929}) \)	None	✓	$2$	$0$	\(3\)	\(3\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}+\beta _{1}q^{7}+\cdots\)
3716.1.d.g	$3716$	$1$	3716.d	3716.d	$2$	$6$	$6$	$1.855$	\(\Q(\zeta_{36})^+\)	$D_{18}$	\(\Q(\sqrt{-929}) \)	None	✓	$4$	$0$	\(-6\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-\beta _{3}q^{3}+q^{4}+\beta _{2}q^{5}+\beta _{3}q^{6}+\cdots\)