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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	1601
8005.2.a.c	$8005$	$2$	8005.a	1.a	$1$	$2$	$2$	$63.920$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(2\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots\)
8005.2.a.d	$8005$	$2$	8005.a	1.a	$1$	$2$	$2$	$63.920$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}-q^{4}-q^{5}+\beta q^{6}-\beta q^{7}+\cdots\)