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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2959.1.d.a	$2959$	$1$	2959.d	2959.d	$2$	$1$	$1$	$1.477$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-2959}) \)	\(\Q(\sqrt{269}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-q^{4}+2q^{5}+q^{9}+q^{11}+q^{16}-2q^{20}+\cdots\)
2959.1.d.b	$2959$	$1$	2959.d	2959.d	$2$	$2$	$2$	$1.477$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2959}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{5}-\beta q^{7}+\cdots\)
2959.1.d.c	$2959$	$1$	2959.d	2959.d	$2$	$2$	$2$	$1.477$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-2959}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q-\beta q^{2}+q^{4}-2q^{5}-\beta q^{7}+q^{9}+2\beta q^{10}+\cdots\)
2959.1.d.d	$2959$	$1$	2959.d	2959.d	$2$	$2$	$2$	$1.477$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2959}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(-1\)	\(1\)	$1$		\(q+(1-\beta )q^{2}+(1-\beta )q^{4}-\beta q^{5}+\beta q^{7}+\cdots\)
2959.1.d.e	$2959$	$1$	2959.d	2959.d	$2$	$4$	$4$	$1.477$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-2959}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{2})q^{5}+\cdots\)
2959.1.d.f	$2959$	$1$	2959.d	2959.d	$2$	$8$	$8$	$1.477$	\(\Q(\zeta_{40})^+\)	$D_{20}$	\(\Q(\sqrt{-2959}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)	$1$		\(q+\beta _{7}q^{2}+(1-\beta _{2})q^{4}-\beta _{4}q^{5}+\beta _{3}q^{7}+\cdots\)