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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3559.1.b.a	$3559$	$1$	3559.b	3559.b	$2$	$1$	$1$	$1.776$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3559}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q-q^{2}-q^{5}-q^{7}+q^{8}+q^{9}+q^{10}+\cdots\)
3559.1.b.c	$3559$	$1$	3559.b	3559.b	$2$	$2$	$2$	$1.776$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3559}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}+(-1+\beta )q^{5}+\cdots\)
3559.1.b.d	$3559$	$1$	3559.b	3559.b	$2$	$3$	$3$	$1.776$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3559}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{2}q^{5}+\beta _{2}q^{7}+\cdots\)
3559.1.b.e	$3559$	$1$	3559.b	3559.b	$2$	$4$	$4$	$1.776$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-3559}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(1\)	\(1\)	$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{1}q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots\)
3559.1.b.f	$3559$	$1$	3559.b	3559.b	$2$	$12$	$12$	$1.776$	\(\Q(\zeta_{45})^+\)	$D_{45}$	\(\Q(\sqrt{-3559}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{7}q^{2}+(1+\beta _{11})q^{4}+(-\beta _{4}-\beta _{5}+\cdots)q^{5}+\cdots\)