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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is twist minimal	Is self-dual

\(Nk^2\)	Coefficient ring index	Coefficient ring gens.	Projective image	Projective image type

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Minimal twist	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
182.6.a.f	$182$	$6$	182.a	1.a	$1$	$3$	$3$	$29.190$	3.3.912300.1	None	✓	✓	182.6.a.f	$1$	$1$	\(12\)	\(-22\)	\(-83\)	\(147\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+4q^{2}+(-7-\beta _{1})q^{3}+2^{4}q^{4}+(-28+\cdots)q^{5}+\cdots\)

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