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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3911.1.b.a	$3911$	$1$	3911.b	3911.b	$2$	$41$	$41$	$1.952$	\(\Q(\zeta_{166})^+\)	$D_{83}$	\(\Q(\sqrt{-3911}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{15}q^{2}-\beta _{29}q^{3}+(1+\beta _{30})q^{4}+\cdots\)