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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
799.1.c.a	$799$	$1$	799.c	799.c	$2$	$1$	$1$	$0.399$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-799}) \)	\(\Q(\sqrt{17}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-2q^{2}+3q^{4}-4q^{8}+q^{9}+5q^{16}+\cdots\)
799.1.c.b	$799$	$1$	799.c	799.c	$2$	$2$	$2$	$0.399$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-799}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}-\beta q^{5}+q^{9}+\beta q^{11}+q^{16}+\cdots\)
799.1.c.c	$799$	$1$	799.c	799.c	$2$	$4$	$4$	$0.399$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-799}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{2}q^{2}+q^{4}-\beta _{1}q^{5}+q^{9}+(\beta _{1}+\beta _{3})q^{10}+\cdots\)
3995.1.e.e	$3995$	$1$	3995.e	3995.e	$2$	$16$	$16$	$1.994$	\(\Q(\zeta_{32})\)	$D_{16}$	\(\Q(\sqrt{-799}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{32}^{2}-\zeta_{32}^{14})q^{2}+(-1+\zeta_{32}^{4}+\cdots)q^{4}+\cdots\)