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Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3895.1.g.a	$3895$	$1$	3895.g	3895.g	$2$	$1$	$1$	$1.944$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-779}) \), \(\Q(\sqrt{-3895}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{4}+q^{5}+q^{9}+q^{16}-q^{19}-q^{20}+\cdots\)
3895.1.g.b	$3895$	$1$	3895.g	3895.g	$2$	$1$	$1$	$1.944$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-779}) \), \(\Q(\sqrt{-3895}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{4}+q^{5}+q^{9}+q^{16}+q^{19}-q^{20}+\cdots\)
3895.1.g.c	$3895$	$1$	3895.g	3895.g	$2$	$2$	$2$	$1.944$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3895}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+\beta q^{2}+q^{4}+q^{5}-\beta q^{7}+q^{9}+\beta q^{10}+\cdots\)
3895.1.g.d	$3895$	$1$	3895.g	3895.g	$2$	$2$	$2$	$1.944$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3895}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\beta q^{2}+q^{4}+q^{5}-\beta q^{7}+q^{9}-\beta q^{10}+\cdots\)
3895.1.g.g	$3895$	$1$	3895.g	3895.g	$2$	$4$	$4$	$1.944$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-3895}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+\beta _{3}q^{7}+\cdots\)
3895.1.g.h	$3895$	$1$	3895.g	3895.g	$2$	$4$	$4$	$1.944$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-3895}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+\beta _{3}q^{7}+\cdots\)