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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	17	59
4012.2.a.d	$4012$	$2$	4012.a	1.a	$1$	$2$	$2$	$32.036$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(3\)	\(-6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2\beta q^{3}+(2-\beta )q^{5}-3q^{7}+(1+4\beta )q^{9}+\cdots\)
4012.2.a.e	$4012$	$2$	4012.a	1.a	$1$	$2$	$2$	$32.036$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-q^{5}+\beta q^{7}+2q^{9}-2\beta q^{11}+\cdots\)