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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				Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
522.2.k.f	$522$	$2$	522.k	29.d	$7$	$12$	$2$	$4.168$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(-2\)	\(0\)	\(-2\)	\(8\)	$1$	$\mathrm{SU}(2)[C_{7}]$	\(q+\beta _{9}q^{2}+\beta _{4}q^{4}+(\beta _{1}+\beta _{9})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots\)
522.2.k.g	$522$	$2$	522.k	29.d	$7$	$12$	$2$	$4.168$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(-2\)	\(0\)	\(-1\)	\(2\)	$1$	$\mathrm{SU}(2)[C_{7}]$	\(q+\beta _{5}q^{2}+\beta _{6}q^{4}+(\beta _{1}+\beta _{2}+\beta _{3}+\beta _{4}+\cdots)q^{5}+\cdots\)
522.2.k.h	$522$	$2$	522.k	29.d	$7$	$12$	$2$	$4.168$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(2\)	\(0\)	\(0\)	\(1\)	$1$	$\mathrm{SU}(2)[C_{7}]$	\(q-\beta _{2}q^{2}+\beta _{6}q^{4}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
522.2.k.i	$522$	$2$	522.k	29.d	$7$	$12$	$2$	$4.168$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(2\)	\(0\)	\(2\)	\(8\)	$1$	$\mathrm{SU}(2)[C_{7}]$	\(q-\beta _{9}q^{2}+\beta _{4}q^{4}+(-\beta _{1}-\beta _{9})q^{5}+\cdots\)