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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	5	67
8040.2.a.y	$8040$	$2$	8040.a	1.a	$1$	$9$	$9$	$64.200$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	✓	✓	✓	8040.2.a.y	$1$	$1$	\(0\)	\(-9\)	\(-9\)	\(-6\)		$-$	$+$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+(-1-\beta _{6})q^{7}+q^{9}+(-\beta _{3}+\cdots)q^{11}+\cdots\)
8040.2.a.z	$8040$	$2$	8040.a	1.a	$1$	$9$	$9$	$64.200$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	✓	✓	✓	8040.2.a.z	$1$	$1$	\(0\)	\(-9\)	\(-9\)	\(4\)		$+$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+\beta _{2}q^{7}+q^{9}-\beta _{4}q^{11}+\cdots\)
8040.2.a.ba	$8040$	$2$	8040.a	1.a	$1$	$9$	$9$	$64.200$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	✓	✓	✓	8040.2.a.ba	$1$	$1$	\(0\)	\(9\)	\(-9\)	\(-7\)		$-$	$-$	$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+(-1-\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
8040.2.a.bb	$8040$	$2$	8040.a	1.a	$1$	$9$	$9$	$64.200$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	✓	✓		8040.2.a.bb	$1$	$0$	\(0\)	\(9\)	\(9\)	\(5\)		$-$	$-$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+(1-\beta _{1})q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)

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