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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
160.6.a.a	$160$	$6$	160.a	1.a	$1$	$2$	$2$	$25.661$	\(\Q(\sqrt{70}) \)	None	✓	$1$	$1$	\(0\)	\(-8\)	\(50\)	\(-104\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-4+\beta )q^{3}+5^{2}q^{5}+(-52-\beta )q^{7}+\cdots\)
160.6.a.d	$160$	$6$	160.a	1.a	$1$	$2$	$2$	$25.661$	\(\Q(\sqrt{10}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(50\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+5^{2}q^{5}+7\beta q^{7}-203q^{9}+\cdots\)

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