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Results (7 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
580.1.e.a	$580$	$1$	580.e	580.e	$2$	$1$	$1$	$0.289$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-145}) \)	\(\Q(\sqrt{145}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{9}+q^{10}+\cdots\)
580.1.e.b	$580$	$1$	580.e	580.e	$2$	$1$	$1$	$0.289$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-145}) \)	\(\Q(\sqrt{145}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots\)
2320.1.h.a	$2320$	$1$	2320.h	580.e	$2$	$1$	$1$	$1.158$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-145}) \)	\(\Q(\sqrt{29}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(-2\)	$1$		\(q-q^{5}-2q^{7}+q^{9}+2q^{23}+q^{25}+\cdots\)
2320.1.h.b	$2320$	$1$	2320.h	580.e	$2$	$1$	$1$	$1.158$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-145}) \)	\(\Q(\sqrt{29}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)	$1$		\(q-q^{5}+2q^{7}+q^{9}-2q^{23}+q^{25}+\cdots\)
2320.1.h.c	$2320$	$1$	2320.h	580.e	$2$	$1$	$1$	$1.158$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-29}) \), \(\Q(\sqrt{-145}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{5}+q^{9}-2q^{11}+2q^{19}+q^{25}+\cdots\)
2320.1.h.d	$2320$	$1$	2320.h	580.e	$2$	$1$	$1$	$1.158$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-29}) \), \(\Q(\sqrt{-145}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{5}+q^{9}+2q^{11}-2q^{19}+q^{25}+\cdots\)
2900.1.g.f	$2900$	$1$	2900.g	116.d	$2$	$2$	$2$	$1.447$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-145}) \)	\(\Q(\sqrt{145}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}+iq^{8}-q^{9}+q^{16}+iq^{17}+\cdots\)