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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3191.1.b.a	$3191$	$1$	3191.b	3191.b	$2$	$1$	$1$	$1.593$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3191}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(2\)	$1$		\(q-q^{2}-q^{3}-q^{5}+q^{6}+2q^{7}+q^{8}+\cdots\)
3191.1.b.b	$3191$	$1$	3191.b	3191.b	$2$	$11$	$11$	$1.593$	\(\Q(\zeta_{46})^+\)	$D_{23}$	\(\Q(\sqrt{-3191}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{3}q^{2}+\beta _{6}q^{3}+(1+\beta _{6})q^{4}+\beta _{4}q^{5}+\cdots\)
3191.1.b.c	$3191$	$1$	3191.b	3191.b	$2$	$22$	$22$	$1.593$	\(\Q(\zeta_{69})^+\)	$D_{69}$	\(\Q(\sqrt{-3191}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(1\)	\(-2\)	$1$		\(q+\beta _{1}q^{2}+(-\beta _{2}-\beta _{21})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)