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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	241
7230.2.a.bn	$7230$	$2$	7230.a	1.a	$1$	$8$	$8$	$57.732$	8.8.5817206249.1	None	✓	✓	✓	✓	7230.2.a.bn	$1$	$1$	\(-8\)	\(8\)	\(8\)	\(-11\)		$+$	$-$	$-$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
7230.2.a.bo	$7230$	$2$	7230.a	1.a	$1$	$8$	$8$	$57.732$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	✓	✓		7230.2.a.bo	$1$	$1$	\(8\)	\(-8\)	\(-8\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(\beta _{1}-\beta _{5}+\cdots)q^{7}+\cdots\)