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Results (3 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3099.1.w.a	$3099$	$1$	3099.w	3099.w	$172$	$84$	$1$	$1.547$	\(\Q(\zeta_{172})\)	$D_{172}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{172}^{83}q^{3}+\zeta_{172}^{16}q^{4}+(-\zeta_{172}+\cdots)q^{7}+\cdots\)
3460.1.bd.a	$3460$	$1$	3460.bd	3460.ad	$172$	$84$	$1$	$1.727$	\(\Q(\zeta_{172})\)	$D_{172}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{172}^{69}q^{2}-\zeta_{172}^{52}q^{4}-\zeta_{172}^{47}q^{5}+\cdots\)
3460.1.bm.a	$3460$	$1$	3460.bm	3460.am	$172$	$84$	$1$	$1.727$	\(\Q(\zeta_{172})\)	$D_{172}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(2\)	\(0\)	\(2\)	\(0\)	$1$		\(q+\zeta_{172}^{78}q^{2}-\zeta_{172}^{70}q^{4}-\zeta_{172}^{52}q^{5}+\cdots\)