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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
932.1.d.a	$932$	$1$	932.d	932.d	$2$	$1$	$1$	$0.465$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-233}) \)	\(\Q(\sqrt{233}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}-q^{9}+2q^{13}+q^{16}+\cdots\)
1631.1.d.a	$1631$	$1$	1631.d	1631.d	$2$	$1$	$1$	$0.814$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-1631}) \)	\(\Q(\sqrt{233}) \)	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+2q^{2}+3q^{4}-q^{7}+4q^{8}-q^{9}-2q^{14}+\cdots\)
1631.1.h.a	$1631$	$1$	1631.h	1631.h	$6$	$2$	$1$	$0.814$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{233}) \)		$4$	$0$	\(1\)	\(0\)	\(0\)	\(1\)	$1$		\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{7}+q^{8}-\zeta_{6}^{2}q^{9}+\cdots\)
1864.1.d.a	$1864$	$1$	1864.d	1864.d	$2$	$1$	$1$	$0.930$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-466}) \)	\(\Q(\sqrt{233}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}+q^{9}+q^{16}+q^{18}+\cdots\)
3029.1.g.a	$3029$	$1$	3029.g	3029.g	$4$	$2$	$1$	$1.512$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{233}) \)		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(2\)	$1$		\(q+(-1+i)q^{2}-iq^{4}+(1+i)q^{7}-q^{8}+\cdots\)