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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2971.1.b.a	$2971$	$1$	2971.b	2971.b	$2$	$5$	$5$	$1.483$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-2971}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+q^{4}+\beta _{4}q^{5}-\beta _{1}q^{7}+q^{9}+q^{16}+\cdots\)