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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
40.10.a.a	$40$	$10$	40.a	1.a	$1$	$2$	$2$	$20.601$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$1$	\(0\)	\(-116\)	\(-1250\)	\(11284\)		$+$	$+$	$+$	$2^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-58+\beta )q^{3}-5^{4}q^{5}+(5642-35\beta )q^{7}+\cdots\)
40.10.a.b	$40$	$10$	40.a	1.a	$1$	$2$	$2$	$20.601$	\(\Q(\sqrt{6049}) \)	None	✓	$1$	$1$	\(0\)	\(-92\)	\(1250\)	\(-6908\)		$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-46-\beta )q^{3}+5^{4}q^{5}+(-3454+\cdots)q^{7}+\cdots\)

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