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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	31	37	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8029.2.a.a	$8029$	$2$	8029.a	1.a	$1$	$64$	$64$	$64.112$		None	✓	$1$	$1$	\(-7\)	\(-12\)	\(-4\)	\(-64\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
8029.2.a.b	$8029$	$2$	8029.a	1.a	$1$	$64$	$64$	$64.112$		None	✓	$1$	$1$	\(-5\)	\(-18\)	\(-26\)	\(64\)		$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$

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