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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1592.1.g.a	$1592$	$1$	1592.g	1592.g	$2$	$1$	$1$	$0.795$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-199}) \), \(\Q(\sqrt{-398}) \)	\(\Q(\sqrt{2}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(2\)	$1$		\(q-q^{2}+q^{4}+2q^{7}-q^{8}-q^{9}-2q^{14}+\cdots\)
1592.1.g.c	$1592$	$1$	1592.g	1592.g	$2$	$2$	$2$	$0.795$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-398}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots\)
1592.1.g.d	$1592$	$1$	1592.g	1592.g	$2$	$2$	$2$	$0.795$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-398}) \)	None	✓	$2$	$0$	\(2\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+(1-\beta )q^{3}+q^{4}+(1-\beta )q^{6}+\cdots\)
1592.1.g.e	$1592$	$1$	1592.g	1592.g	$2$	$4$	$4$	$0.795$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-398}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+\beta _{2}q^{7}+\cdots\)