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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

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

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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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
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	17	79	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4029.2.a.f	$4029$	$2$	4029.a	1.a	$1$	$22$	$22$	$32.172$		None	✓	✓	✓		4029.2.a.f	$1$	$1$	\(1\)	\(-22\)	\(1\)	\(-15\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
4029.2.a.g	$4029$	$2$	4029.a	1.a	$1$	$22$	$22$	$32.172$		None	✓	✓	✓	✓	4029.2.a.g	$1$	$1$	\(2\)	\(-22\)	\(5\)	\(-4\)		$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$

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