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

Results (4 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5
160.4.a.a	$160$	$4$	160.a	1.a	$1$	$1$	$1$	$9.440$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-5\)	\(6\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-5q^{5}+6q^{7}-23q^{9}+60q^{11}+\cdots\)
160.4.a.e	$160$	$4$	160.a	1.a	$1$	$2$	$2$	$9.440$	\(\Q(\sqrt{13}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-10\)	\(0\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-5q^{5}-\beta q^{7}+5^{2}q^{9}-6\beta q^{11}+\cdots\)
160.4.a.f	$160$	$4$	160.a	1.a	$1$	$2$	$2$	$9.440$	\(\Q(\sqrt{10}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(10\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+5q^{5}+3\beta q^{7}+13q^{9}-2\beta q^{11}+\cdots\)
160.4.a.g	$160$	$4$	160.a	1.a	$1$	$2$	$2$	$9.440$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(8\)	\(10\)	\(8\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(4+\beta )q^{3}+5q^{5}+(4-5\beta )q^{7}+(13+\cdots)q^{9}+\cdots\)