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Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	11
539.4.a.n	$539$	$4$	539.a	1.a	$1$	$10$	$10$	$31.802$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(10\)	\(0\)		$+$	$+$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(5+\beta _{2})q^{4}+(1+\beta _{5}+\cdots)q^{5}+\cdots\)
539.4.a.p	$539$	$4$	539.a	1.a	$1$	$18$	$18$	$31.802$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$2$	$0$	\(4\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{7}\cdot 7^{4}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(5-\beta _{7})q^{4}+\beta _{8}q^{5}+\cdots\)