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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	83
5312.2.a.be	$5312$	$2$	5312.a	1.a	$1$	$4$	$4$	$42.417$	4.4.15529.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-1+\beta _{1}+\beta _{3})q^{7}+\cdots\)
5312.2.a.bf	$5312$	$2$	5312.a	1.a	$1$	$4$	$4$	$42.417$	4.4.2225.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-1\)	\(5\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}-\beta _{1}q^{5}+(1+\beta _{1})q^{7}+\cdots\)
5312.2.a.bg	$5312$	$2$	5312.a	1.a	$1$	$4$	$4$	$42.417$	4.4.2225.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(-1\)	\(-5\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}-\beta _{1}q^{5}+(-1-\beta _{1})q^{7}+\cdots\)
5312.2.a.bh	$5312$	$2$	5312.a	1.a	$1$	$4$	$4$	$42.417$	4.4.15529.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(1-\beta _{1}-\beta _{3})q^{7}+(1+\cdots)q^{9}+\cdots\)