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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	149	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
447.2.a.a	$447$	$2$	447.a	1.a	$1$	$3$	$3$	$3.569$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(-3\)	\(3\)	\(-6\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+q^{3}+(1-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
447.2.a.b	$447$	$2$	447.a	1.a	$1$	$3$	$3$	$3.569$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(0\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+\beta _{1}q^{6}+(-2+\cdots)q^{7}+\cdots\)

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