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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		17	43
731.2.a.e	$731$	$2$	731.a	1.a	$1$	$19$	$19$	$5.837$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(5\)	\(11\)	\(7\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{16}q^{3}+(1+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
731.2.a.f	$731$	$2$	731.a	1.a	$1$	$21$	$21$	$5.837$		None	✓	$1$	$0$	\(2\)	\(-1\)	\(-3\)	\(5\)		$+$	$-$	$-$		$\mathrm{SU}(2)$