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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
596.1.d.a	$596$	$1$	596.d	596.d	$2$	$3$	$3$	$0.297$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-149}) \)	None	✓	$2$	$0$	\(-3\)	\(1\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
596.1.d.b	$596$	$1$	596.d	596.d	$2$	$3$	$3$	$0.297$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-149}) \)	None	✓	$2$	$0$	\(3\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
2384.1.h.a	$2384$	$1$	2384.h	596.d	$2$	$1$	$1$	$1.190$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-149}) \)	\(\Q(\sqrt{149}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-2q^{5}-q^{9}+2q^{17}+3q^{25}-2q^{29}+\cdots\)
2384.1.h.b	$2384$	$1$	2384.h	596.d	$2$	$6$	$6$	$1.190$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-149}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+(1-\beta _{2}-\beta _{4})q^{5}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)
2980.1.e.d	$2980$	$1$	2980.e	2980.e	$2$	$2$	$2$	$1.487$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-149}) \)	\(\Q(\sqrt{745}) \)		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}-q^{5}-2q^{6}+iq^{8}+\cdots\)
2980.1.e.f	$2980$	$1$	2980.e	2980.e	$2$	$12$	$12$	$1.487$	\(\Q(\zeta_{28})\)	$D_{14}$	\(\Q(\sqrt{-149}) \)	None		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\zeta_{28}^{7}q^{2}+(-\zeta_{28}^{3}-\zeta_{28}^{11})q^{3}+\cdots\)