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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	13	103
8034.2.a.l	$8034$	$2$	8034.a	1.a	$1$	$2$	$2$	$64.152$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(-4\)	\(3\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+(1+\beta )q^{7}+\cdots\)
8034.2.a.m	$8034$	$2$	8034.a	1.a	$1$	$2$	$2$	$64.152$	\(\Q(\sqrt{65}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)