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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

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

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

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	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
273.12.a.c	$273$	$12$	273.a	1.a	$1$	$16$	$16$	$209.758$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$1$	\(-63\)	\(-3888\)	\(-3168\)	\(268912\)		$+$	$-$	$+$	$-$	$2^{18}\cdot 3^{12}\cdot 5\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-4+\beta _{1})q^{2}-3^{5}q^{3}+(1298-4\beta _{1}+\cdots)q^{4}+\cdots\)

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