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Results (5 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	3	13	29
6786.2.a.bc	$6786$	$2$	6786.a	1.a	$1$	$3$	$3$	$54.186$	3.3.621.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(-3\)	\(3\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-1+\beta _{1})q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
6786.2.a.bd	$6786$	$2$	6786.a	1.a	$1$	$3$	$3$	$54.186$	3.3.940.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-1-\beta _{2})q^{5}+(1+\beta _{2})q^{7}+\cdots\)
6786.2.a.be	$6786$	$2$	6786.a	1.a	$1$	$3$	$3$	$54.186$	3.3.564.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(2\)	\(-2\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(1-\beta _{1})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
6786.2.a.bf	$6786$	$2$	6786.a	1.a	$1$	$3$	$3$	$54.186$	3.3.564.1	None	✓	$1$	$1$	\(3\)	\(0\)	\(-2\)	\(-2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-1+\beta _{1})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
6786.2.a.bg	$6786$	$2$	6786.a	1.a	$1$	$3$	$3$	$54.186$	3.3.229.1	None	✓	$1$	$0$	\(3\)	\(0\)	\(1\)	\(-3\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-\beta _{2}q^{5}+(-1+\beta _{1})q^{7}+\cdots\)