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Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3620.1.f.b	$3620$	$1$	3620.f	3620.f	$2$	$1$	$1$	$1.807$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-905}) \)	\(\Q(\sqrt{905}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{5}-q^{8}-q^{9}+q^{10}+\cdots\)
3620.1.f.e	$3620$	$1$	3620.f	3620.f	$2$	$1$	$1$	$1.807$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-905}) \)	\(\Q(\sqrt{905}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{9}-q^{10}+\cdots\)
3620.1.f.h	$3620$	$1$	3620.f	3620.f	$2$	$2$	$2$	$1.807$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-181}) \)	\(\Q(\sqrt{905}) \)		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-iq^{2}-q^{4}-q^{5}+iq^{7}+iq^{8}-q^{9}+\cdots\)
3620.1.f.j	$3620$	$1$	3620.f	3620.f	$2$	$4$	$4$	$1.807$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{905}) \)		$8$	$0$	\(0\)	\(0\)	\(4\)	\(0\)	$1$		\(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+q^{5}+(\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{7}+\cdots\)