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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	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
22.10.a.a	$22$	$10$	22.a	1.a	$1$	$1$	$1$	$11.331$	\(\Q\)	None	✓	$1$	$1$	\(16\)	\(-41\)	\(-1039\)	\(-3482\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}-41q^{3}+2^{8}q^{4}-1039q^{5}+\cdots\)
22.10.a.e	$22$	$10$	22.a	1.a	$1$	$2$	$2$	$11.331$	\(\Q(\sqrt{463}) \)	None	✓	$1$	$1$	\(-32\)	\(34\)	\(-1478\)	\(8196\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-2^{4}q^{2}+(17+\beta )q^{3}+2^{8}q^{4}+(-739+\cdots)q^{5}+\cdots\)

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