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Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3688.1.c.a	$3688$	$1$	3688.c	3688.c	$2$	$1$	$1$	$1.841$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-922}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)	$1$		\(q-q^{2}+q^{4}+q^{7}-q^{8}+q^{9}+q^{13}+\cdots\)
3688.1.c.b	$3688$	$1$	3688.c	3688.c	$2$	$1$	$1$	$1.841$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-922}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{9}-q^{13}+\cdots\)
3688.1.c.c	$3688$	$1$	3688.c	3688.c	$2$	$3$	$3$	$1.841$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-922}) \)	None	✓	$2$	$0$	\(-3\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}+\beta _{1}q^{7}-q^{8}+q^{9}+(-\beta _{1}+\cdots)q^{13}+\cdots\)
3688.1.c.d	$3688$	$1$	3688.c	3688.c	$2$	$3$	$3$	$1.841$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-922}) \)	None	✓	$2$	$0$	\(3\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}-\beta _{1}q^{7}+q^{8}+q^{9}+(\beta _{1}+\cdots)q^{13}+\cdots\)