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

Results (displaying both matches)

 

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		11	43
473.2.a.f	$473$	$2$	473.a	1.a	$1$	$9$	$9$	$3.777$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(5\)	\(0\)	\(19\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
473.2.a.g	$473$	$2$	473.a	1.a	$1$	$11$	$11$	$3.777$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(6\)	\(3\)	\(17\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1-\beta _{8})q^{3}+(1+\beta _{2})q^{4}+\cdots\)