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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		17	43
731.2.a.a	$731$	$2$	731.a	1.a	$1$	$1$	$1$	$5.837$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(-1\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-3q^{8}+\cdots\)
731.2.a.b	$731$	$2$	731.a	1.a	$1$	$2$	$2$	$5.837$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(-1\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta )q^{3}-q^{4}+(-1+\beta )q^{5}+\cdots\)
731.2.a.c	$731$	$2$	731.a	1.a	$1$	$6$	$6$	$5.837$	6.6.2460365.1	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(3\)	\(-7\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{3}-\beta _{4})q^{2}+(-1+\beta _{4})q^{3}+(\beta _{4}+\cdots)q^{4}+\cdots\)
731.2.a.d	$731$	$2$	731.a	1.a	$1$	$8$	$8$	$5.837$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(-3\)	\(-7\)	\(-5\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{3}+\beta _{4})q^{3}+(\beta _{2}-\beta _{3})q^{4}+\cdots\)