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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
591.1.d.a	$591$	$1$	591.d	591.d	$2$	$5$	$5$	$0.295$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-591}) \)	None	✓	$2$	$0$	\(-1\)	\(5\)	\(-1\)	\(-1\)	$1$		\(q+\beta _{4}q^{2}+q^{3}+(1-\beta _{3})q^{4}+\beta _{2}q^{5}+\cdots\)
591.1.d.b	$591$	$1$	591.d	591.d	$2$	$5$	$5$	$0.295$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-591}) \)	None	✓	$2$	$0$	\(1\)	\(-5\)	\(1\)	\(-1\)	$1$		\(q+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{2}-q^{3}+\cdots\)
2955.1.c.e	$2955$	$1$	2955.c	2955.c	$2$	$2$	$2$	$1.475$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-591}) \)	\(\Q(\sqrt{985}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}+iq^{3}-3q^{4}-iq^{5}+2q^{6}+\cdots\)
2955.1.c.g	$2955$	$1$	2955.c	2955.c	$2$	$20$	$20$	$1.475$	\(\Q(\zeta_{44})\)	$D_{22}$	\(\Q(\sqrt{-591}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{44}^{3}-\zeta_{44}^{19})q^{2}+\zeta_{44}^{11}q^{3}+\cdots\)
1773.2.b.c	$1773$	$2$	1773.b	197.b	$2$	$22$	$22$	$14.157$		$_{}$	\(\Q(\sqrt{-591}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{U}(1)[D_{2}]$