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Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	11	17
6171.2.a.bf	$6171$	$2$	6171.a	1.a	$1$	$8$	$8$	$49.276$	8.8.\(\cdots\).1	None	✓		✓		561.2.m.c	$1$	$1$	\(-4\)	\(-8\)	\(-5\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}-q^{3}+(-1+\beta _{3}-\beta _{5})q^{4}+\cdots\)
6171.2.a.bg	$6171$	$2$	6171.a	1.a	$1$	$8$	$8$	$49.276$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	✓			6171.2.a.bg	$1$	$0$	\(-1\)	\(-8\)	\(0\)	\(3\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
6171.2.a.bh	$6171$	$2$	6171.a	1.a	$1$	$8$	$8$	$49.276$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	✓			6171.2.a.bg	$1$	$1$	\(1\)	\(-8\)	\(0\)	\(-3\)		$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
6171.2.a.bi	$6171$	$2$	6171.a	1.a	$1$	$8$	$8$	$49.276$	8.8.\(\cdots\).1	None	✓				561.2.m.c	$1$	$1$	\(4\)	\(-8\)	\(-5\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}-q^{3}+(-1+\beta _{3}-\beta _{5})q^{4}+\cdots\)